TSTP Solution File: SWW392+1 by CSE---1.7
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%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW392+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 : n016.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 18:09:11 EDT 2024
% Result : Theorem 178.46s 178.24s
% Output : CNFRefutation 178.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SWW392+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.31 % Computer : n016.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Jun 19 05:52:39 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.17/0.50 start to proof:theBenchmark
% 177.92/178.07 %-------------------------------------------
% 177.92/178.07 % File :CSE---1.7
% 177.92/178.07 % Problem :theBenchmark
% 177.92/178.07 % Transform :cnf
% 177.92/178.07 % Format :tptp:raw
% 177.92/178.07 % Command :java -jar mcs_scs.jar %d %s
% 177.92/178.07
% 177.92/178.07 % Result :Theorem 157.860000s
% 177.92/178.07 % Output :CNFRefutation 157.860000s
% 177.92/178.07 %-------------------------------------------
% 177.92/178.08 %------------------------------------------------------------------------------
% 177.92/178.08 % File : SWW392+1 : TPTP v8.2.0. Released v5.2.0.
% 177.92/178.08 % Domain : Software Verification
% 177.92/178.08 % Problem : Hoare's Logic with Procedures 435772, 5000 axioms selected
% 177.92/178.08 % Version : Especial.
% 177.92/178.08 % English :
% 177.92/178.08
% 177.92/178.08 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 177.92/178.08 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 177.92/178.08 % Source : [Bla11]
% 177.92/178.08 % Names : hoare_435772.5000.p [Bla11]
% 177.92/178.08
% 177.92/178.08 % Status : ContradictoryAxioms
% 177.92/178.08 % Rating : 0.72 v8.1.0, 0.81 v7.5.0, 0.78 v7.4.0, 0.87 v7.3.0, 0.86 v7.1.0, 0.83 v7.0.0, 0.87 v6.4.0, 0.85 v6.3.0, 0.79 v6.2.0, 0.88 v6.1.0, 0.90 v6.0.0, 0.87 v5.5.0, 0.89 v5.4.0, 0.96 v5.2.0
% 177.92/178.08 % Syntax : Number of formulae : 5224 (1672 unt; 0 def)
% 177.92/178.08 % Number of atoms : 12734 (4432 equ)
% 177.92/178.08 % Maximal formula atoms : 13 ( 2 avg)
% 177.92/178.08 % Number of connectives : 8523 (1013 ~; 150 |; 736 &)
% 177.92/178.08 % ( 894 <=>;5730 =>; 0 <=; 0 <~>)
% 177.92/178.08 % Maximal formula depth : 22 ( 6 avg)
% 177.92/178.08 % Maximal term depth : 19 ( 2 avg)
% 177.92/178.08 % Number of predicates : 147 ( 146 usr; 0 prp; 1-6 aty)
% 177.92/178.08 % Number of functors : 385 ( 385 usr; 50 con; 0-7 aty)
% 177.92/178.08 % Number of variables : 16623 (16471 !; 152 ?)
% 177.92/178.08 % SPC : FOF_CAX_RFO_SEQ
% 177.92/178.08
% 177.92/178.08 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 177.92/178.08 % 2011-03-01 13:07:53
% 177.92/178.08 %------------------------------------------------------------------------------
% 177.92/178.08 %----Relevant facts (4984)
% 177.92/178.08 fof(fact_ext,axiom,
% 177.92/178.08 ! [V_g_2,V_f_2] :
% 177.92/178.08 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 177.92/178.08 => V_f_2 = V_g_2 ) ).
% 177.92/178.08
% 177.92/178.08 fof(fact_empty,axiom,
% 177.92/178.08 ! [V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ).
% 177.92/178.08
% 177.92/178.08 fof(fact_hoare__derivs_OSkip,axiom,
% 177.92/178.08 ! [V_Pa_2,V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OSKIP),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 177.92/178.08
% 177.92/178.08 fof(fact_hoare__derivs_Oequations_I1_J,axiom,
% 177.92/178.08 ! [V_a_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ).
% 177.92/178.08
% 177.92/178.08 fof(fact_hoare__derivs_Oequations_I7_J,axiom,
% 177.92/178.08 ! [V_a2_2,V_a1_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_a1_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_a2_2),c_Com_Ocom_OSKIP),V_a2_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 177.92/178.08
% 177.92/178.08 fof(fact_triple_Oinject,axiom,
% 177.92/178.08 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_b] :
% 177.92/178.08 ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_H_2),V_com_H_2),V_fun2_H_2)
% 177.92/178.08 <=> ( V_fun1_2 = V_fun1_H_2
% 177.92/178.08 & V_com_2 = V_com_H_2
% 177.92/178.08 & V_fun2_2 = V_fun2_H_2 ) ) ).
% 177.92/178.08
% 177.92/178.08 fof(fact_cut,axiom,
% 177.92/178.08 ! [V_Ga_2,V_ts_2,V_G_H_2,T_b] :
% 177.92/178.08 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2)
% 177.92/178.08 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_G_H_2)
% 177.92/178.08 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 177.92/178.08
% 177.92/178.08 fof(fact_hoare__derivs_Oinsert,axiom,
% 177.92/178.08 ! [V_ts_2,V_t_2,V_Ga_2,T_b] :
% 177.92/178.08 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 177.92/178.08 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2)
% 177.92/178.08 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_ts_2)) ) ) ).
% 177.92/178.08
% 177.92/178.08 fof(fact_derivs__insertD,axiom,
% 177.92/178.08 ! [V_ts_2,V_t_2,V_Ga_2,T_b] :
% 177.92/178.08 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_ts_2))
% 177.92/178.08 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 177.92/178.08 & c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 177.92/178.08
% 177.92/178.08 fof(fact_triple_Orecs,axiom,
% 177.92/178.08 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_b,T_c] : c_Hoare__Mirabelle_Otriple_Otriple__rec(T_c,T_b,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ).
% 177.92/178.08
% 177.92/178.08 fof(fact_triple_Osimps_I2_J,axiom,
% 177.92/178.08 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_b,T_c] : c_Hoare__Mirabelle_Otriple_Otriple__case(T_c,T_b,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ).
% 177.92/178.08
% 177.92/178.08 fof(fact_empty__not__insert,axiom,
% 177.92/178.08 ! [V_A_2,V_a_2,T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) ).
% 177.92/178.08
% 177.92/178.08 fof(fact_insert__not__empty,axiom,
% 177.92/178.08 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 177.92/178.08
% 177.92/178.08 fof(fact_doubleton__eq__iff,axiom,
% 177.92/178.08 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 177.92/178.08 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 177.92/178.08 <=> ( ( V_a_2 = V_c_2
% 177.92/178.08 & V_b_2 = V_d_2 )
% 177.92/178.08 | ( V_a_2 = V_d_2
% 177.92/178.08 & V_b_2 = V_c_2 ) ) ) ).
% 177.92/178.08
% 177.92/178.08 fof(fact_singleton__inject,axiom,
% 177.92/178.08 ! [V_b_2,V_a_2,T_b] :
% 177.92/178.08 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
% 177.92/178.08 => V_a_2 = V_b_2 ) ).
% 177.92/178.08
% 177.92/178.08 fof(fact_bot__apply,axiom,
% 177.92/178.08 ! [V_x_2,T_c,T_b] :
% 177.92/178.08 ( class_Orderings_Obot(T_b)
% 177.92/178.08 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 177.92/178.08
% 177.92/178.08 fof(fact_conseq2,axiom,
% 177.92/178.08 ! [V_Qa_2,V_Q_H_2,V_c_2,V_Pa_2,V_Ga_2,T_b] :
% 177.92/178.08 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 177.92/178.08 => ( ! [B_Z,B_s] :
% 177.92/178.08 ( hBOOL(hAPP(hAPP(V_Q_H_2,B_Z),B_s))
% 177.92/178.08 => hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s)) )
% 177.92/178.08 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 177.92/178.08
% 177.92/178.08 fof(fact_conseq1,axiom,
% 177.92/178.08 ! [V_Pa_2,V_Qa_2,V_c_2,V_P_H_2,V_Ga_2,T_b] :
% 177.92/178.08 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_H_2),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 177.92/178.08 => ( ! [B_Z,B_s] :
% 177.92/178.08 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 177.92/178.08 => hBOOL(hAPP(hAPP(V_P_H_2,B_Z),B_s)) )
% 177.99/178.08 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 177.99/178.08
% 177.99/178.08 fof(fact_Comp,axiom,
% 177.99/178.08 ! [V_R_2,V_d_2,V_Qa_2,V_c_2,V_Pa_2,V_Ga_2,T_b] :
% 177.99/178.08 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 177.99/178.08 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Qa_2),V_d_2),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 177.99/178.08 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OSemi(V_c_2,V_d_2)),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 177.99/178.08
% 177.99/178.08 fof(fact_the__elem__eq,axiom,
% 177.99/178.08 ! [V_x_2,T_b] : c_Set_Othe__elem(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ).
% 177.99/178.08
% 177.99/178.08 fof(fact_insert__absorb2,axiom,
% 177.99/178.08 ! [V_A_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2) ).
% 177.99/178.08
% 177.99/178.08 fof(fact_insert__code,axiom,
% 177.99/178.08 ! [V_x_2,V_A_2,V_y_2,T_b] :
% 177.99/178.08 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2))
% 177.99/178.08 <=> ( V_y_2 = V_x_2
% 177.99/178.08 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 177.99/178.08
% 177.99/178.08 fof(fact_insert__commute,axiom,
% 177.99/178.08 ! [V_A_2,V_y_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) ).
% 177.99/178.08
% 177.99/178.08 fof(fact_com_Osimps_I13_J,axiom,
% 177.99/178.08 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 177.99/178.08
% 177.99/178.08 fof(fact_com_Osimps_I12_J,axiom,
% 177.99/178.08 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 177.99/178.08
% 177.99/178.08 fof(fact_com_Osimps_I3_J,axiom,
% 177.99/178.08 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] :
% 177.99/178.08 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2)
% 177.99/178.08 <=> ( V_com1_2 = V_com1_H_2
% 177.99/178.08 & V_com2_2 = V_com2_H_2 ) ) ).
% 177.99/178.08
% 177.99/178.08 fof(fact_hoare__sound,axiom,
% 177.99/178.08 ! [V_ts_2,V_Ga_2,T_b] :
% 177.99/178.08 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2)
% 177.99/178.08 => c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,V_ts_2) ) ).
% 177.99/178.08
% 177.99/178.08 fof(fact_conseq12,axiom,
% 177.99/178.08 ! [V_Qa_2,V_Pa_2,V_Q_H_2,V_c_2,V_P_H_2,V_Ga_2,T_b] :
% 177.99/178.08 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_H_2),V_c_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 177.99/178.08 => ( ! [B_Z,B_s] :
% 177.99/178.08 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 177.99/178.08 => ! [B_s_H] :
% 177.99/178.08 ( ! [B_Z_H] :
% 177.99/178.08 ( hBOOL(hAPP(hAPP(V_P_H_2,B_Z_H),B_s))
% 177.99/178.08 => hBOOL(hAPP(hAPP(V_Q_H_2,B_Z_H),B_s_H)) )
% 177.99/178.08 => hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s_H)) ) )
% 177.99/178.08 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 177.99/178.08
% 177.99/178.08 fof(fact_subset__singletonD,axiom,
% 177.99/178.08 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 177.99/178.08 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.08 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 177.99/178.08
% 177.99/178.08 fof(fact_singletonE,axiom,
% 177.99/178.08 ! [V_a_2,V_b_2,T_b] :
% 177.99/178.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 177.99/178.08 => V_b_2 = V_a_2 ) ).
% 177.99/178.08
% 177.99/178.08 fof(fact_singleton__iff,axiom,
% 177.99/178.08 ! [V_a_2,V_b_2,T_b] :
% 177.99/178.08 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 177.99/178.08 <=> V_b_2 = V_a_2 ) ).
% 177.99/178.08
% 177.99/178.08 fof(fact_folding__one_Osingleton,axiom,
% 177.99/178.08 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 177.99/178.08 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 177.99/178.08 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 177.99/178.08
% 177.99/178.08 fof(fact_fold1Set__sing,axiom,
% 177.99/178.08 ! [V_b_2,V_a_2,V_f_2,T_b] :
% 177.99/178.08 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_b_2))
% 177.99/178.08 <=> V_a_2 = V_b_2 ) ).
% 177.99/178.08
% 177.99/178.08 fof(fact_insert__is__Un,axiom,
% 177.99/178.08 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_A_2) ).
% 177.99/178.08
% 177.99/178.08 fof(fact_insert__Diff__single,axiom,
% 177.99/178.08 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) ).
% 177.99/178.08
% 177.99/178.09 fof(fact_order__refl,axiom,
% 177.99/178.09 ! [V_x,T_a] :
% 177.99/178.09 ( class_Orderings_Opreorder(T_a)
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_equalityCE,axiom,
% 177.99/178.09 ! [V_c_2,T_b,V_B_2,V_A_2] :
% 177.99/178.09 ( V_A_2 = V_B_2
% 177.99/178.09 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 177.99/178.09 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) )
% 177.99/178.09 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_equalityI,axiom,
% 177.99/178.09 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 177.99/178.09 => V_A_2 = V_B_2 ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_emptyE,axiom,
% 177.99/178.09 ! [V_a_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_insertE,axiom,
% 177.99/178.09 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 177.99/178.09 => ( V_a_2 != V_b_2
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_insertCI,axiom,
% 177.99/178.09 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 177.99/178.09 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 177.99/178.09 => V_a_2 = V_b_2 )
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_subsetD,axiom,
% 177.99/178.09 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_UnE,axiom,
% 177.99/178.09 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 177.99/178.09 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_UnCI,axiom,
% 177.99/178.09 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 177.99/178.09 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) )
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_empty__subsetI,axiom,
% 177.99/178.09 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_DiffI,axiom,
% 177.99/178.09 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 177.99/178.09 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_DiffE,axiom,
% 177.99/178.09 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 177.99/178.09 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_subset__refl,axiom,
% 177.99/178.09 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2)) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_Un__upper1,axiom,
% 177.99/178.09 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_Un__upper2,axiom,
% 177.99/178.09 ! [V_A_2,V_B_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_Un__absorb,axiom,
% 177.99/178.09 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 177.99/178.09
% 177.99/178.09 fof(fact_Diff__subset,axiom,
% 177.99/178.09 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_le__fun__def,axiom,
% 177.99/178.09 ! [V_g_2,V_f_2,T_b,T_c] :
% 177.99/178.09 ( class_Orderings_Oord(T_c)
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 177.99/178.09 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_mem__def,axiom,
% 177.99/178.09 ! [V_A_2,V_x_2,T_b] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.09 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_Un__commute,axiom,
% 177.99/178.09 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_linorder__linear,axiom,
% 177.99/178.09 ! [V_y,V_x,T_a] :
% 177.99/178.09 ( class_Orderings_Olinorder(T_a)
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 177.99/178.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_subset__Un__eq,axiom,
% 177.99/178.09 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.09 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_set__eq__subset,axiom,
% 177.99/178.09 ! [T_b,V_B_2,V_A_2] :
% 177.99/178.09 ( V_A_2 = V_B_2
% 177.99/178.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_order__eq__iff,axiom,
% 177.99/178.09 ! [V_y_2,V_x_2,T_b] :
% 177.99/178.09 ( class_Orderings_Oorder(T_b)
% 177.99/178.09 => ( V_x_2 = V_y_2
% 177.99/178.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 177.99/178.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_Un__Diff__cancel,axiom,
% 177.99/178.09 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_Un__left__absorb,axiom,
% 177.99/178.09 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_Un__left__commute,axiom,
% 177.99/178.09 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_Diff__iff,axiom,
% 177.99/178.09 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 177.99/178.09 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 177.99/178.09 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_Un__iff,axiom,
% 177.99/178.09 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 177.99/178.09 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 177.99/178.09 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_Diff__idemp,axiom,
% 177.99/178.09 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_Un__Diff__cancel2,axiom,
% 177.99/178.09 ! [V_A_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_Diff__subset__conv,axiom,
% 177.99/178.09 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2))
% 177.99/178.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_Un__assoc,axiom,
% 177.99/178.09 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_Un__Diff,axiom,
% 177.99/178.09 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_bex__Un,axiom,
% 177.99/178.09 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 177.99/178.09 ( ? [B_x] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 177.99/178.09 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 177.99/178.09 <=> ( ? [B_x] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 177.99/178.09 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 177.99/178.09 | ? [B_x] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 177.99/178.09 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_ball__Un,axiom,
% 177.99/178.09 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 177.99/178.09 ( ! [B_x] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 177.99/178.09 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 177.99/178.09 <=> ( ! [B_x] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 177.99/178.09 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 177.99/178.09 & ! [B_x] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 177.99/178.09 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_equalityD1,axiom,
% 177.99/178.09 ! [T_b,V_B_2,V_A_2] :
% 177.99/178.09 ( V_A_2 = V_B_2
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_equalityD2,axiom,
% 177.99/178.09 ! [T_b,V_B_2,V_A_2] :
% 177.99/178.09 ( V_A_2 = V_B_2
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_order__eq__refl,axiom,
% 177.99/178.09 ! [V_y,V_x,T_a] :
% 177.99/178.09 ( class_Orderings_Opreorder(T_a)
% 177.99/178.09 => ( V_x = V_y
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_UnI1,axiom,
% 177.99/178.09 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_UnI2,axiom,
% 177.99/178.09 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_le__funD,axiom,
% 177.99/178.09 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 177.99/178.09 ( class_Orderings_Oord(T_c)
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_Un__absorb1,axiom,
% 177.99/178.09 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.09 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_Un__absorb2,axiom,
% 177.99/178.09 ! [V_A_2,V_B_2,T_b] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 177.99/178.09 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_eqset__imp__iff,axiom,
% 177.99/178.09 ! [V_x_2,T_b,V_B_2,V_A_2] :
% 177.99/178.09 ( V_A_2 = V_B_2
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.09 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_eqelem__imp__iff,axiom,
% 177.99/178.09 ! [V_A_2,T_b,V_y_2,V_x_2] :
% 177.99/178.09 ( V_x_2 = V_y_2
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.09 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_in__mono,axiom,
% 177.99/178.09 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_order__antisym__conv,axiom,
% 177.99/178.09 ! [V_x_2,V_y_2,T_b] :
% 177.99/178.09 ( class_Orderings_Oorder(T_b)
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2))
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 177.99/178.09 <=> V_x_2 = V_y_2 ) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_Diff__partition,axiom,
% 177.99/178.09 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.09 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = V_B_2 ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_eq__mem__trans,axiom,
% 177.99/178.09 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 177.99/178.09 ( V_a_2 = V_b_2
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_ord__eq__le__trans,axiom,
% 177.99/178.09 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.09 ( class_Orderings_Oord(T_a)
% 177.99/178.09 => ( V_a = V_b
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_xt1_I3_J,axiom,
% 177.99/178.09 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.09 ( class_Orderings_Oorder(T_a)
% 177.99/178.09 => ( V_a = V_b
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_set__rev__mp,axiom,
% 177.99/178.09 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_set__mp,axiom,
% 177.99/178.09 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_subset__trans,axiom,
% 177.99/178.09 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 177.99/178.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_ord__le__eq__trans,axiom,
% 177.99/178.09 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.09 ( class_Orderings_Oord(T_a)
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 177.99/178.09 => ( V_b = V_c
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_xt1_I4_J,axiom,
% 177.99/178.09 ! [V_c,V_a,V_b,T_a] :
% 177.99/178.09 ( class_Orderings_Oorder(T_a)
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 177.99/178.09 => ( V_b = V_c
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_order__antisym,axiom,
% 177.99/178.09 ! [V_y,V_x,T_a] :
% 177.99/178.09 ( class_Orderings_Oorder(T_a)
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 177.99/178.09 => V_x = V_y ) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_order__trans,axiom,
% 177.99/178.09 ! [V_z,V_y,V_x,T_a] :
% 177.99/178.09 ( class_Orderings_Opreorder(T_a)
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 177.99/178.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_xt1_I5_J,axiom,
% 177.99/178.09 ! [V_x,V_y,T_a] :
% 177.99/178.09 ( class_Orderings_Oorder(T_a)
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 177.99/178.09 => V_x = V_y ) ) ) ).
% 177.99/178.09
% 177.99/178.09 fof(fact_xt1_I6_J,axiom,
% 177.99/178.09 ! [V_z,V_x,V_y,T_a] :
% 177.99/178.09 ( class_Orderings_Oorder(T_a)
% 177.99/178.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 177.99/178.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_Un__least,axiom,
% 177.99/178.10 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 177.99/178.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_Un__mono,axiom,
% 177.99/178.10 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 177.99/178.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_Diff__mono,axiom,
% 177.99/178.10 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2))
% 177.99/178.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_double__diff,axiom,
% 177.99/178.10 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 177.99/178.10 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) = V_A_2 ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_equalityE,axiom,
% 177.99/178.10 ! [T_b,V_B_2,V_A_2] :
% 177.99/178.10 ( V_A_2 = V_B_2
% 177.99/178.10 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.10 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_le__funE,axiom,
% 177.99/178.10 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 177.99/178.10 ( class_Orderings_Oord(T_c)
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 177.99/178.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_DiffD1,axiom,
% 177.99/178.10 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 177.99/178.10 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_DiffD2,axiom,
% 177.99/178.10 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 177.99/178.10 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_linorder__le__cases,axiom,
% 177.99/178.10 ! [V_y,V_x,T_a] :
% 177.99/178.10 ( class_Orderings_Olinorder(T_a)
% 177.99/178.10 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 177.99/178.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_insert__Diff1,axiom,
% 177.99/178.10 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 177.99/178.10 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_insert__Diff__if,axiom,
% 177.99/178.10 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 177.99/178.10 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 177.99/178.10 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) )
% 177.99/178.10 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 177.99/178.10 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_subset__insert,axiom,
% 177.99/178.10 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 177.99/178.10 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)))
% 177.99/178.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_insert__subset,axiom,
% 177.99/178.10 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2))
% 177.99/178.10 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 177.99/178.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_subset__insert__iff,axiom,
% 177.99/178.10 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)))
% 177.99/178.10 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) )
% 177.99/178.10 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_diff__single__insert,axiom,
% 177.99/178.10 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2))
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_empty__fold1SetE,axiom,
% 177.99/178.10 ! [V_x_2,V_f_2,T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2)) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_fold1Set__nonempty,axiom,
% 177.99/178.10 ! [V_x_2,V_A_2,V_f_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2))
% 177.99/178.10 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_Diff__insert__absorb,axiom,
% 177.99/178.10 ! [V_A_2,V_x_2,T_b] :
% 177.99/178.10 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.10 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_insert__Diff,axiom,
% 177.99/178.10 ! [V_A_2,V_a_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.10 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = V_A_2 ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_empty__Diff,axiom,
% 177.99/178.10 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_Diff__empty,axiom,
% 177.99/178.10 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 177.99/178.10
% 177.99/178.10 fof(fact_Diff__cancel,axiom,
% 177.99/178.10 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_Un__empty__left,axiom,
% 177.99/178.10 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 177.99/178.10
% 177.99/178.10 fof(fact_Un__empty__right,axiom,
% 177.99/178.10 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 177.99/178.10
% 177.99/178.10 fof(fact_Un__empty,axiom,
% 177.99/178.10 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.10 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.10 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.10 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_Un__insert__right,axiom,
% 177.99/178.10 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_Un__insert__left,axiom,
% 177.99/178.10 ! [V_C_2,V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_bot__least,axiom,
% 177.99/178.10 ! [V_x,T_a] :
% 177.99/178.10 ( class_Orderings_Obot(T_a)
% 177.99/178.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_all__not__in__conv,axiom,
% 177.99/178.10 ! [V_A_2,T_b] :
% 177.99/178.10 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 177.99/178.10 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_ex__in__conv,axiom,
% 177.99/178.10 ! [V_A_2,T_b] :
% 177.99/178.10 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 177.99/178.10 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_empty__iff,axiom,
% 177.99/178.10 ! [V_c_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_equals0D,axiom,
% 177.99/178.10 ! [V_a_2,T_b,V_A_2] :
% 177.99/178.10 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.10 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_subset__empty,axiom,
% 177.99/178.10 ! [V_A_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 177.99/178.10 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_insertI1,axiom,
% 177.99/178.10 ! [V_B_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_insert__iff,axiom,
% 177.99/178.10 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 177.99/178.10 <=> ( V_a_2 = V_b_2
% 177.99/178.10 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_insert__ident,axiom,
% 177.99/178.10 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 177.99/178.10 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 177.99/178.10 => ( hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)
% 177.99/178.10 <=> V_A_2 = V_B_2 ) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_insertI2,axiom,
% 177.99/178.10 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 177.99/178.10 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_insert__absorb,axiom,
% 177.99/178.10 ! [V_A_2,V_a_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.10 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_subset__insertI,axiom,
% 177.99/178.10 ! [V_a_2,V_B_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_subset__insertI2,axiom,
% 177.99/178.10 ! [V_b_2,V_B_2,V_A_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_insert__mono,axiom,
% 177.99/178.10 ! [V_a_2,V_D_2,V_C_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))
% 177.99/178.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_D_2))) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_asm,axiom,
% 177.99/178.10 ! [V_Ga_2,V_ts_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_ts_2),V_Ga_2))
% 177.99/178.10 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_weaken,axiom,
% 177.99/178.10 ! [V_ts_2,V_ts_H_2,V_Ga_2,T_b] :
% 177.99/178.10 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_H_2)
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_ts_2),V_ts_H_2))
% 177.99/178.10 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_thin,axiom,
% 177.99/178.10 ! [V_Ga_2,V_ts_2,V_G_H_2,T_b] :
% 177.99/178.10 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2)
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_G_H_2),V_Ga_2))
% 177.99/178.10 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_Diff__insert,axiom,
% 177.99/178.10 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_Diff__insert2,axiom,
% 177.99/178.10 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_sup1CI,axiom,
% 177.99/178.10 ! [T_b,V_A_2,V_x_2,V_B_2] :
% 177.99/178.10 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 177.99/178.10 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 177.99/178.10 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_sup1E,axiom,
% 177.99/178.10 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 177.99/178.10 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 177.99/178.10 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_minus__apply,axiom,
% 177.99/178.10 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 177.99/178.10 ( class_Groups_Ominus(T_b)
% 177.99/178.10 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,T_b)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_sup__apply,axiom,
% 177.99/178.10 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 177.99/178.10 ( class_Lattices_Olattice(T_b)
% 177.99/178.10 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_sup__bot__left,axiom,
% 177.99/178.10 ! [V_x,T_a] :
% 177.99/178.10 ( class_Lattices_Obounded__lattice__bot(T_a)
% 177.99/178.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_sup__bot__right,axiom,
% 177.99/178.10 ! [V_x,T_a] :
% 177.99/178.10 ( class_Lattices_Obounded__lattice__bot(T_a)
% 177.99/178.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_sup__eq__bot__iff,axiom,
% 177.99/178.10 ! [V_y_2,V_x_2,T_b] :
% 177.99/178.10 ( class_Lattices_Obounded__lattice__bot(T_b)
% 177.99/178.10 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b)
% 177.99/178.10 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b)
% 177.99/178.10 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_le__supE,axiom,
% 177.99/178.10 ! [V_x,V_b,V_a,T_a] :
% 177.99/178.10 ( class_Lattices_Osemilattice__sup(T_a)
% 177.99/178.10 => ( 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))
% 177.99/178.10 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 177.99/178.10 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_sup__mono,axiom,
% 177.99/178.10 ! [V_d,V_b,V_c,V_a,T_a] :
% 177.99/178.10 ( class_Lattices_Osemilattice__sup(T_a)
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 177.99/178.10 => 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))) ) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_sup__least,axiom,
% 177.99/178.10 ! [V_z,V_x,V_y,T_a] :
% 177.99/178.10 ( class_Lattices_Osemilattice__sup(T_a)
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 177.99/178.10 => 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)) ) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_le__supI,axiom,
% 177.99/178.10 ! [V_b,V_x,V_a,T_a] :
% 177.99/178.10 ( class_Lattices_Osemilattice__sup(T_a)
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 177.99/178.10 => 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)) ) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_sup__absorb1,axiom,
% 177.99/178.10 ! [V_x,V_y,T_a] :
% 177.99/178.10 ( class_Lattices_Osemilattice__sup(T_a)
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 177.99/178.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_eq__mem,axiom,
% 177.99/178.10 ! [V_y_2,V_x_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2)))
% 177.99/178.10 <=> V_x_2 = V_y_2 ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_sup_Oidem,axiom,
% 177.99/178.10 ! [V_a,T_a] :
% 177.99/178.10 ( class_Lattices_Osemilattice__sup(T_a)
% 177.99/178.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_sup__idem,axiom,
% 177.99/178.10 ! [V_x,T_a] :
% 177.99/178.10 ( class_Lattices_Osemilattice__sup(T_a)
% 177.99/178.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_sup_Ocommute,axiom,
% 177.99/178.10 ! [V_b,V_a,T_a] :
% 177.99/178.10 ( class_Lattices_Osemilattice__sup(T_a)
% 177.99/178.10 => 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) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_inf__sup__aci_I5_J,axiom,
% 177.99/178.10 ! [V_y,V_x,T_a] :
% 177.99/178.10 ( class_Lattices_Olattice(T_a)
% 177.99/178.10 => 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) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_sup__commute,axiom,
% 177.99/178.10 ! [V_y,V_x,T_a] :
% 177.99/178.10 ( class_Lattices_Osemilattice__sup(T_a)
% 177.99/178.10 => 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) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_sup_Oleft__idem,axiom,
% 177.99/178.10 ! [V_b,V_a,T_a] :
% 177.99/178.10 ( class_Lattices_Osemilattice__sup(T_a)
% 177.99/178.10 => 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) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_inf__sup__aci_I8_J,axiom,
% 177.99/178.10 ! [V_y,V_x,T_a] :
% 177.99/178.10 ( class_Lattices_Olattice(T_a)
% 177.99/178.10 => 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) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_sup__left__idem,axiom,
% 177.99/178.10 ! [V_y,V_x,T_a] :
% 177.99/178.10 ( class_Lattices_Osemilattice__sup(T_a)
% 177.99/178.10 => 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) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_sup_Oleft__commute,axiom,
% 177.99/178.10 ! [V_c,V_a,V_b,T_a] :
% 177.99/178.10 ( class_Lattices_Osemilattice__sup(T_a)
% 177.99/178.10 => 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)) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_inf__sup__aci_I7_J,axiom,
% 177.99/178.10 ! [V_z,V_y,V_x,T_a] :
% 177.99/178.10 ( class_Lattices_Olattice(T_a)
% 177.99/178.10 => 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)) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_sup__left__commute,axiom,
% 177.99/178.10 ! [V_z,V_y,V_x,T_a] :
% 177.99/178.10 ( class_Lattices_Osemilattice__sup(T_a)
% 177.99/178.10 => 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)) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_sup_Oassoc,axiom,
% 177.99/178.10 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.10 ( class_Lattices_Osemilattice__sup(T_a)
% 177.99/178.10 => 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)) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_inf__sup__aci_I6_J,axiom,
% 177.99/178.10 ! [V_z,V_y,V_x,T_a] :
% 177.99/178.10 ( class_Lattices_Olattice(T_a)
% 177.99/178.10 => 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)) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_sup__assoc,axiom,
% 177.99/178.10 ! [V_z,V_y,V_x,T_a] :
% 177.99/178.10 ( class_Lattices_Osemilattice__sup(T_a)
% 177.99/178.10 => 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)) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_rev__predicate1D,axiom,
% 177.99/178.10 ! [V_Qa_2,T_b,V_x_2,V_Pa_2] :
% 177.99/178.10 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Qa_2))
% 177.99/178.10 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_predicate1D,axiom,
% 177.99/178.10 ! [V_x_2,V_Qa_2,V_Pa_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Qa_2))
% 177.99/178.10 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 177.99/178.10 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_sup1I1,axiom,
% 177.99/178.10 ! [V_B_2,T_b,V_x_2,V_A_2] :
% 177.99/178.10 ( hBOOL(hAPP(V_A_2,V_x_2))
% 177.99/178.10 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_sup1I2,axiom,
% 177.99/178.10 ! [V_A_2,T_b,V_x_2,V_B_2] :
% 177.99/178.10 ( hBOOL(hAPP(V_B_2,V_x_2))
% 177.99/178.10 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_inf__sup__ord_I3_J,axiom,
% 177.99/178.10 ! [V_y,V_x,T_a] :
% 177.99/178.10 ( class_Lattices_Olattice(T_a)
% 177.99/178.10 => 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))) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_sup__ge1,axiom,
% 177.99/178.10 ! [V_y,V_x,T_a] :
% 177.99/178.10 ( class_Lattices_Osemilattice__sup(T_a)
% 177.99/178.10 => 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))) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_inf__sup__ord_I4_J,axiom,
% 177.99/178.10 ! [V_x,V_y,T_a] :
% 177.99/178.10 ( class_Lattices_Olattice(T_a)
% 177.99/178.10 => 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))) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_sup__ge2,axiom,
% 177.99/178.10 ! [V_x,V_y,T_a] :
% 177.99/178.10 ( class_Lattices_Osemilattice__sup(T_a)
% 177.99/178.10 => 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))) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_le__iff__sup,axiom,
% 177.99/178.10 ! [V_y_2,V_x_2,T_b] :
% 177.99/178.10 ( class_Lattices_Osemilattice__sup(T_b)
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 177.99/178.10 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_le__sup__iff,axiom,
% 177.99/178.10 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 177.99/178.10 ( class_Lattices_Osemilattice__sup(T_b)
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2)),V_z_2))
% 177.99/178.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 177.99/178.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_le__supI1,axiom,
% 177.99/178.10 ! [V_b,V_a,V_x,T_a] :
% 177.99/178.10 ( class_Lattices_Osemilattice__sup(T_a)
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 177.99/178.10 => 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))) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_le__supI2,axiom,
% 177.99/178.10 ! [V_a,V_b,V_x,T_a] :
% 177.99/178.10 ( class_Lattices_Osemilattice__sup(T_a)
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 177.99/178.10 => 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))) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_sup__absorb2,axiom,
% 177.99/178.10 ! [V_y,V_x,T_a] :
% 177.99/178.10 ( class_Lattices_Osemilattice__sup(T_a)
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 177.99/178.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_diff__eq__diff__less__eq,axiom,
% 177.99/178.10 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 177.99/178.10 ( class_Groups_Oordered__ab__group__add(T_b)
% 177.99/178.10 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2)
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 177.99/178.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_folding__one_Oremove,axiom,
% 177.99/178.10 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 177.99/178.10 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 177.99/178.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.10 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.10 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 177.99/178.10 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.10 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_fold1Set_Ointros,axiom,
% 177.99/178.10 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2))
% 177.99/178.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.10 => hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_x_2)) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_psubset__insert__iff,axiom,
% 177.99/178.10 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)))
% 177.99/178.10 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 177.99/178.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 177.99/178.10 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 177.99/178.10 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) )
% 177.99/178.10 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 177.99/178.10 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.10 => ( c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_y_2)
% 177.99/178.10 => c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,V_A_2,hAPP(hAPP(V_f_2,V_x_2),V_y_2)) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_Diff1__fold__graph,axiom,
% 177.99/178.10 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_y_2))
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.10 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_folding__one_Oinsert__remove,axiom,
% 177.99/178.10 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 177.99/178.10 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 177.99/178.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.10 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.10 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 177.99/178.10 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.10 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_folding__one_Oinsert,axiom,
% 177.99/178.10 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 177.99/178.10 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 177.99/178.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.10 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_nonempty__iff,axiom,
% 177.99/178.10 ! [T_b,V_A_2] :
% 177.99/178.10 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.10 <=> ? [B_x,B_B] :
% 177.99/178.10 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_B)
% 177.99/178.10 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_B)) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_Sup__fin_Oidem,axiom,
% 177.99/178.10 ! [V_x,T_a] :
% 177.99/178.10 ( class_Lattices_Olattice(T_a)
% 177.99/178.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_Powp__mono,axiom,
% 177.99/178.10 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),c_Predicate_OPowp(T_b,V_A_2)),c_Predicate_OPowp(T_b,V_B_2))) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_finite_OemptyI,axiom,
% 177.99/178.10 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_finite_OinsertI,axiom,
% 177.99/178.10 ! [V_a_2,V_A_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_finite__Diff,axiom,
% 177.99/178.10 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_order__less__irrefl,axiom,
% 177.99/178.10 ! [V_x,T_a] :
% 177.99/178.10 ( class_Orderings_Opreorder(T_a)
% 177.99/178.10 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_linorder__neq__iff,axiom,
% 177.99/178.10 ! [V_y_2,V_x_2,T_b] :
% 177.99/178.10 ( class_Orderings_Olinorder(T_b)
% 177.99/178.10 => ( V_x_2 != V_y_2
% 177.99/178.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 177.99/178.10 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_not__less__iff__gr__or__eq,axiom,
% 177.99/178.10 ! [V_y_2,V_x_2,T_b] :
% 177.99/178.10 ( class_Orderings_Olinorder(T_b)
% 177.99/178.10 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 177.99/178.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 177.99/178.10 | V_x_2 = V_y_2 ) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_linorder__less__linear,axiom,
% 177.99/178.10 ! [V_y,V_x,T_a] :
% 177.99/178.10 ( class_Orderings_Olinorder(T_a)
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 177.99/178.10 | V_x = V_y
% 177.99/178.10 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_linorder__antisym__conv3,axiom,
% 177.99/178.10 ! [V_x_2,V_y_2,T_b] :
% 177.99/178.10 ( class_Orderings_Olinorder(T_b)
% 177.99/178.10 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 177.99/178.10 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 177.99/178.10 <=> V_x_2 = V_y_2 ) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_linorder__neqE,axiom,
% 177.99/178.10 ! [V_y,V_x,T_a] :
% 177.99/178.10 ( class_Orderings_Olinorder(T_a)
% 177.99/178.10 => ( V_x != V_y
% 177.99/178.10 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 177.99/178.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_less__imp__neq,axiom,
% 177.99/178.10 ! [V_y,V_x,T_a] :
% 177.99/178.10 ( class_Orderings_Oorder(T_a)
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 177.99/178.10 => V_x != V_y ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_order__less__not__sym,axiom,
% 177.99/178.10 ! [V_y,V_x,T_a] :
% 177.99/178.10 ( class_Orderings_Opreorder(T_a)
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 177.99/178.10 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_order__less__imp__not__less,axiom,
% 177.99/178.10 ! [V_y,V_x,T_a] :
% 177.99/178.10 ( class_Orderings_Opreorder(T_a)
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 177.99/178.10 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_order__less__imp__not__eq,axiom,
% 177.99/178.10 ! [V_y,V_x,T_a] :
% 177.99/178.10 ( class_Orderings_Oorder(T_a)
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 177.99/178.10 => V_x != V_y ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_order__less__imp__not__eq2,axiom,
% 177.99/178.10 ! [V_y,V_x,T_a] :
% 177.99/178.10 ( class_Orderings_Oorder(T_a)
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 177.99/178.10 => V_y != V_x ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_order__less__asym_H,axiom,
% 177.99/178.10 ! [V_b,V_a,T_a] :
% 177.99/178.10 ( class_Orderings_Opreorder(T_a)
% 177.99/178.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 177.99/178.10 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 177.99/178.10
% 177.99/178.10 fof(fact_xt1_I9_J,axiom,
% 177.99/178.10 ! [V_a,V_b,T_a] :
% 177.99/178.10 ( class_Orderings_Oorder(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 177.99/178.11 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_ord__eq__less__trans,axiom,
% 177.99/178.11 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.11 ( class_Orderings_Oord(T_a)
% 177.99/178.11 => ( V_a = V_b
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_xt1_I1_J,axiom,
% 177.99/178.11 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.11 ( class_Orderings_Oorder(T_a)
% 177.99/178.11 => ( V_a = V_b
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_psubset__trans,axiom,
% 177.99/178.11 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_ord__less__eq__trans,axiom,
% 177.99/178.11 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.11 ( class_Orderings_Oord(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 177.99/178.11 => ( V_b = V_c
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_xt1_I2_J,axiom,
% 177.99/178.11 ! [V_c,V_a,V_b,T_a] :
% 177.99/178.11 ( class_Orderings_Oorder(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 177.99/178.11 => ( V_b = V_c
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_order__less__trans,axiom,
% 177.99/178.11 ! [V_z,V_y,V_x,T_a] :
% 177.99/178.11 ( class_Orderings_Opreorder(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_xt1_I10_J,axiom,
% 177.99/178.11 ! [V_z,V_x,V_y,T_a] :
% 177.99/178.11 ( class_Orderings_Oorder(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_order__less__asym,axiom,
% 177.99/178.11 ! [V_y,V_x,T_a] :
% 177.99/178.11 ( class_Orderings_Opreorder(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 177.99/178.11 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_linorder__cases,axiom,
% 177.99/178.11 ! [V_y,V_x,T_a] :
% 177.99/178.11 ( class_Orderings_Olinorder(T_a)
% 177.99/178.11 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 177.99/178.11 => ( V_x != V_y
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_finite,axiom,
% 177.99/178.11 ! [V_A_2,T_b] :
% 177.99/178.11 ( class_Finite__Set_Ofinite(T_b)
% 177.99/178.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_finite__code,axiom,
% 177.99/178.11 ! [V_A_2,T_b] :
% 177.99/178.11 ( class_Finite__Set_Ofinite(T_b)
% 177.99/178.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_fold__graph__imp__finite,axiom,
% 177.99/178.11 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 177.99/178.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_diff__eq__diff__less,axiom,
% 177.99/178.11 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 177.99/178.11 ( class_Groups_Oordered__ab__group__add(T_b)
% 177.99/178.11 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 177.99/178.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 177.99/178.11 ! [V_a2_2,V_a1_2,T_c,T_b] : c_Nitpick_Ofold__graph_H(T_b,T_c,V_a1_2,V_a2_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_a2_2) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 177.99/178.11 ! [V_z_2,V_f_2,T_c,T_b] : c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_z_2) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_less__fun__def,axiom,
% 177.99/178.11 ! [V_g_2,V_f_2,T_b,T_c] :
% 177.99/178.11 ( class_Orderings_Oord(T_c)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 177.99/178.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 177.99/178.11 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_linorder__not__less,axiom,
% 177.99/178.11 ! [V_y_2,V_x_2,T_b] :
% 177.99/178.11 ( class_Orderings_Olinorder(T_b)
% 177.99/178.11 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 177.99/178.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_linorder__not__le,axiom,
% 177.99/178.11 ! [V_y_2,V_x_2,T_b] :
% 177.99/178.11 ( class_Orderings_Olinorder(T_b)
% 177.99/178.11 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 177.99/178.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_linorder__le__less__linear,axiom,
% 177.99/178.11 ! [V_y,V_x,T_a] :
% 177.99/178.11 ( class_Orderings_Olinorder(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 177.99/178.11 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_order__less__le,axiom,
% 177.99/178.11 ! [V_y_2,V_x_2,T_b] :
% 177.99/178.11 ( class_Orderings_Oorder(T_b)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 177.99/178.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 177.99/178.11 & V_x_2 != V_y_2 ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_less__le__not__le,axiom,
% 177.99/178.11 ! [V_y_2,V_x_2,T_b] :
% 177.99/178.11 ( class_Orderings_Opreorder(T_b)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 177.99/178.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 177.99/178.11 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_order__le__less,axiom,
% 177.99/178.11 ! [V_y_2,V_x_2,T_b] :
% 177.99/178.11 ( class_Orderings_Oorder(T_b)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 177.99/178.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 177.99/178.11 | V_x_2 = V_y_2 ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_leI,axiom,
% 177.99/178.11 ! [V_y,V_x,T_a] :
% 177.99/178.11 ( class_Orderings_Olinorder(T_a)
% 177.99/178.11 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_not__leE,axiom,
% 177.99/178.11 ! [V_x,V_y,T_a] :
% 177.99/178.11 ( class_Orderings_Olinorder(T_a)
% 177.99/178.11 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_linorder__antisym__conv1,axiom,
% 177.99/178.11 ! [V_y_2,V_x_2,T_b] :
% 177.99/178.11 ( class_Orderings_Olinorder(T_b)
% 177.99/178.11 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 177.99/178.11 <=> V_x_2 = V_y_2 ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_order__neq__le__trans,axiom,
% 177.99/178.11 ! [V_b,V_a,T_a] :
% 177.99/178.11 ( class_Orderings_Oorder(T_a)
% 177.99/178.11 => ( V_a != V_b
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_xt1_I12_J,axiom,
% 177.99/178.11 ! [V_b,V_a,T_a] :
% 177.99/178.11 ( class_Orderings_Oorder(T_a)
% 177.99/178.11 => ( V_a != V_b
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_leD,axiom,
% 177.99/178.11 ! [V_x,V_y,T_a] :
% 177.99/178.11 ( class_Orderings_Olinorder(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 177.99/178.11 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_order__less__imp__le,axiom,
% 177.99/178.11 ! [V_y,V_x,T_a] :
% 177.99/178.11 ( class_Orderings_Opreorder(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_linorder__antisym__conv2,axiom,
% 177.99/178.11 ! [V_y_2,V_x_2,T_b] :
% 177.99/178.11 ( class_Orderings_Olinorder(T_b)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 177.99/178.11 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 177.99/178.11 <=> V_x_2 = V_y_2 ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_order__le__imp__less__or__eq,axiom,
% 177.99/178.11 ! [V_y,V_x,T_a] :
% 177.99/178.11 ( class_Orderings_Oorder(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 177.99/178.11 | V_x = V_y ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_order__le__neq__trans,axiom,
% 177.99/178.11 ! [V_b,V_a,T_a] :
% 177.99/178.11 ( class_Orderings_Oorder(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 177.99/178.11 => ( V_a != V_b
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_xt1_I11_J,axiom,
% 177.99/178.11 ! [V_a,V_b,T_a] :
% 177.99/178.11 ( class_Orderings_Oorder(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 177.99/178.11 => ( V_a != V_b
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_order__less__le__trans,axiom,
% 177.99/178.11 ! [V_z,V_y,V_x,T_a] :
% 177.99/178.11 ( class_Orderings_Opreorder(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_xt1_I7_J,axiom,
% 177.99/178.11 ! [V_z,V_x,V_y,T_a] :
% 177.99/178.11 ( class_Orderings_Oorder(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_order__le__less__trans,axiom,
% 177.99/178.11 ! [V_z,V_y,V_x,T_a] :
% 177.99/178.11 ( class_Orderings_Opreorder(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_xt1_I8_J,axiom,
% 177.99/178.11 ! [V_z,V_x,V_y,T_a] :
% 177.99/178.11 ( class_Orderings_Oorder(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_psubsetD,axiom,
% 177.99/178.11 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_not__psubset__empty,axiom,
% 177.99/178.11 ! [V_A_2,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_less__supI2,axiom,
% 177.99/178.11 ! [V_a,V_b,V_x,T_a] :
% 177.99/178.11 ( class_Lattices_Osemilattice__sup(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 177.99/178.11 => 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))) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_less__supI1,axiom,
% 177.99/178.11 ! [V_b,V_a,V_x,T_a] :
% 177.99/178.11 ( class_Lattices_Osemilattice__sup(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 177.99/178.11 => 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))) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_psubset__eq,axiom,
% 177.99/178.11 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.11 & V_A_2 != V_B_2 ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_subset__iff__psubset__eq,axiom,
% 177.99/178.11 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.11 | V_A_2 = V_B_2 ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_psubset__imp__subset,axiom,
% 177.99/178.11 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_psubset__subset__trans,axiom,
% 177.99/178.11 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_subset__psubset__trans,axiom,
% 177.99/178.11 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_finite_Oequations_I1_J,axiom,
% 177.99/178.11 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_finite__insert,axiom,
% 177.99/178.11 ! [V_A_2,V_a_2,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)))
% 177.99/178.11 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_finite__subset,axiom,
% 177.99/178.11 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_rev__finite__subset,axiom,
% 177.99/178.11 ! [V_A_2,V_B_2,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_finite__UnI,axiom,
% 177.99/178.11 ! [V_Ga_2,V_F_2,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2))
% 177.99/178.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_finite__Un,axiom,
% 177.99/178.11 ! [V_Ga_2,V_F_2,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2)))
% 177.99/178.11 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 177.99/178.11 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_finite__Diff2,axiom,
% 177.99/178.11 ! [V_A_2,V_B_2,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 177.99/178.11 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 177.99/178.11 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_fold__graph_OemptyI,axiom,
% 177.99/178.11 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_empty__fold__graphE,axiom,
% 177.99/178.11 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2))
% 177.99/178.11 => V_x_2 = V_z_2 ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_finite__Diff__insert,axiom,
% 177.99/178.11 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))))
% 177.99/178.11 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_fold__graph_OinsertI,axiom,
% 177.99/178.11 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 177.99/178.11 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 177.99/178.11 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_diff__eq__diff__eq,axiom,
% 177.99/178.11 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 177.99/178.11 ( class_Groups_Oab__group__add(T_b)
% 177.99/178.11 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2)
% 177.99/178.11 => ( V_a_2 = V_b_2
% 177.99/178.11 <=> V_c_2 = V_d_2 ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_folding__image__simple_Oremove,axiom,
% 177.99/178.11 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 177.99/178.11 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 177.99/178.11 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 177.99/178.11 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 177.99/178.11 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 177.99/178.11 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_Sup__fin_Oremove,axiom,
% 177.99/178.11 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.11 ( class_Lattices_Olattice(T_b)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.11 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.11 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 )
% 177.99/178.11 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.11 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 177.99/178.11 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] :
% 177.99/178.11 ( c_Nitpick_Ofold__graph_H(T_b,T_c,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))
% 177.99/178.11 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.11 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 177.99/178.11 | ? [B_x,B_y] :
% 177.99/178.11 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 177.99/178.11 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2))
% 177.99/178.11 & c_Nitpick_Ofold__graph_H(T_b,T_c,V_a3_2,V_a4_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_a2_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),B_y) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_folding__one_Oclosed,axiom,
% 177.99/178.11 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 177.99/178.11 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.11 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(V_f_2,B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_finite__empty__induct,axiom,
% 177.99/178.11 ! [V_Pa_2,V_A_2,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.11 => ( hBOOL(hAPP(V_Pa_2,V_A_2))
% 177.99/178.11 => ( ! [B_a,B_A] :
% 177.99/178.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A))
% 177.99/178.11 => ( hBOOL(hAPP(V_Pa_2,B_A))
% 177.99/178.11 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_b),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) )
% 177.99/178.11 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 177.99/178.11 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 177.99/178.11 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.11 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.11 => 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)) ) ) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 177.99/178.11 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 177.99/178.11 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.11 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 177.99/178.11 => 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) ) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_finite__subset__induct,axiom,
% 177.99/178.11 ! [V_Pa_2,V_A_2,V_F_2,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2))
% 177.99/178.11 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 177.99/178.11 => ( ! [B_a,B_F] :
% 177.99/178.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 177.99/178.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F))
% 177.99/178.11 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 177.99/178.11 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) )
% 177.99/178.11 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 177.99/178.11 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 177.99/178.11 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.11 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 177.99/178.11 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.11 ( class_Lattices_Olattice(T_b)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.11 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.11 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 177.99/178.11 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.11 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_folding__one__idem_Oidem,axiom,
% 177.99/178.11 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 177.99/178.11 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 177.99/178.11 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_folding__image__simple_Oempty,axiom,
% 177.99/178.11 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 177.99/178.11 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 177.99/178.11 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_Sup__fin_Osingleton,axiom,
% 177.99/178.11 ! [V_x_2,T_b] :
% 177.99/178.11 ( class_Lattices_Olattice(T_b)
% 177.99/178.11 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_Sup__fin_Oin__idem,axiom,
% 177.99/178.11 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.11 ( class_Lattices_Olattice(T_b)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_folding__one__idem_Oin__idem,axiom,
% 177.99/178.11 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 177.99/178.11 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.11 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 177.99/178.11 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.11 ( class_Lattices_Olattice(T_b)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.11 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_Sup__fin_Osubset__idem,axiom,
% 177.99/178.11 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.11 ( class_Lattices_Olattice(T_b)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.11 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 177.99/178.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_Sup__fin_Ounion__idem,axiom,
% 177.99/178.11 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.11 ( class_Lattices_Olattice(T_b)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.11 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.11 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_folding__image__simple_Oinsert,axiom,
% 177.99/178.11 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 177.99/178.11 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 177.99/178.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 177.99/178.11 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_Sup__fin_Oinsert,axiom,
% 177.99/178.11 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.11 ( class_Lattices_Olattice(T_b)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.11 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_Sup__fin_Oclosed,axiom,
% 177.99/178.11 ! [V_A_2,T_b] :
% 177.99/178.11 ( class_Lattices_Olattice(T_b)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.11 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_insert__fold1SetE,axiom,
% 177.99/178.11 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2)),V_x_2))
% 177.99/178.11 => ~ ! [B_a,B_A] :
% 177.99/178.11 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2))
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_fold1Set_Oequations,axiom,
% 177.99/178.11 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2)),V_a3_2))
% 177.99/178.11 <=> ? [B_a,B_A] :
% 177.99/178.11 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 177.99/178.11 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2))
% 177.99/178.11 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_setsum__diff1__ring,axiom,
% 177.99/178.11 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 177.99/178.11 ( class_Rings_Oring(T_c)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_setsum__diff1,axiom,
% 177.99/178.11 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 177.99/178.11 ( class_Groups_Oab__group__add(T_c)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.11 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 177.99/178.11 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) ) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_fold__graph__permute__diff,axiom,
% 177.99/178.11 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] :
% 177.99/178.11 ( class_Groups_Oab__semigroup__mult(T_b)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_b_2,V_A_2),V_x_2))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 177.99/178.11 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_a_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_x_2)) ) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_Sup__fin_Ounion__inter,axiom,
% 177.99/178.11 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.11 ( class_Lattices_Olattice(T_b)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.11 => ( 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))
% 177.99/178.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 177.99/178.11 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.11 ( class_Lattices_Olattice(T_b)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.11 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.11 => ( 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))
% 177.99/178.11 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 177.99/178.11 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 177.99/178.11 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 177.99/178.11 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 177.99/178.11 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 177.99/178.11 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 177.99/178.11 => 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) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 177.99/178.11 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.11 ( class_Lattices_Olattice(T_b)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.11 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_x_2),V_A_2) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf1I,axiom,
% 177.99/178.11 ! [T_b,V_B_2,V_x_2,V_A_2] :
% 177.99/178.11 ( hBOOL(hAPP(V_A_2,V_x_2))
% 177.99/178.11 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 177.99/178.11 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf1E,axiom,
% 177.99/178.11 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 177.99/178.11 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 177.99/178.11 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_IntI,axiom,
% 177.99/178.11 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 177.99/178.11 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_IntE,axiom,
% 177.99/178.11 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 177.99/178.11 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 177.99/178.11 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_finite__Int,axiom,
% 177.99/178.11 ! [V_Ga_2,V_F_2,T_b] :
% 177.99/178.11 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 177.99/178.11 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) )
% 177.99/178.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_times_Oidem,axiom,
% 177.99/178.11 ! [V_a,T_a] :
% 177.99/178.11 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 177.99/178.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_mult__idem,axiom,
% 177.99/178.11 ! [V_x,T_a] :
% 177.99/178.11 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 177.99/178.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf_Oidem,axiom,
% 177.99/178.11 ! [V_a,T_a] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_a)
% 177.99/178.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf__idem,axiom,
% 177.99/178.11 ! [V_x,T_a] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_a)
% 177.99/178.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf_Ocommute,axiom,
% 177.99/178.11 ! [V_b,V_a,T_a] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_a)
% 177.99/178.11 => 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) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf__sup__aci_I1_J,axiom,
% 177.99/178.11 ! [V_y,V_x,T_a] :
% 177.99/178.11 ( class_Lattices_Olattice(T_a)
% 177.99/178.11 => 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) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf__commute,axiom,
% 177.99/178.11 ! [V_y,V_x,T_a] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_a)
% 177.99/178.11 => 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) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_mult__left__idem,axiom,
% 177.99/178.11 ! [V_b,V_a,T_a] :
% 177.99/178.11 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 177.99/178.11 => 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) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf_Oleft__idem,axiom,
% 177.99/178.11 ! [V_b,V_a,T_a] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_a)
% 177.99/178.11 => 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) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf__sup__aci_I4_J,axiom,
% 177.99/178.11 ! [V_y,V_x,T_a] :
% 177.99/178.11 ( class_Lattices_Olattice(T_a)
% 177.99/178.11 => 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) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf__left__idem,axiom,
% 177.99/178.11 ! [V_y,V_x,T_a] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_a)
% 177.99/178.11 => 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) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf_Oleft__commute,axiom,
% 177.99/178.11 ! [V_c,V_a,V_b,T_a] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_a)
% 177.99/178.11 => 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)) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf__sup__aci_I3_J,axiom,
% 177.99/178.11 ! [V_z,V_y,V_x,T_a] :
% 177.99/178.11 ( class_Lattices_Olattice(T_a)
% 177.99/178.11 => 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)) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf__left__commute,axiom,
% 177.99/178.11 ! [V_z,V_y,V_x,T_a] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_a)
% 177.99/178.11 => 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)) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf_Oassoc,axiom,
% 177.99/178.11 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_a)
% 177.99/178.11 => 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)) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf__sup__aci_I2_J,axiom,
% 177.99/178.11 ! [V_z,V_y,V_x,T_a] :
% 177.99/178.11 ( class_Lattices_Olattice(T_a)
% 177.99/178.11 => 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)) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf__assoc,axiom,
% 177.99/178.11 ! [V_z,V_y,V_x,T_a] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_a)
% 177.99/178.11 => 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)) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf__apply,axiom,
% 177.99/178.11 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 177.99/178.11 ( class_Lattices_Olattice(T_b)
% 177.99/178.11 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf1D1,axiom,
% 177.99/178.11 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 177.99/178.11 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf1D2,axiom,
% 177.99/178.11 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 177.99/178.11 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 177.99/178.11 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_Int__absorb,axiom,
% 177.99/178.11 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 177.99/178.11
% 177.99/178.11 fof(fact_Int__commute,axiom,
% 177.99/178.11 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_Int__left__absorb,axiom,
% 177.99/178.11 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_Int__left__commute,axiom,
% 177.99/178.11 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_Int__assoc,axiom,
% 177.99/178.11 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_Inf__fin_Oidem,axiom,
% 177.99/178.11 ! [V_x,T_a] :
% 177.99/178.11 ( class_Lattices_Olattice(T_a)
% 177.99/178.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 177.99/178.11 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.11 ( class_Groups_Oab__semigroup__mult(T_a)
% 177.99/178.11 => 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)) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 177.99/178.11 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 177.99/178.11 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 177.99/178.11 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_fold__inf__insert,axiom,
% 177.99/178.11 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_b)
% 177.99/178.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.11 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),V_A_2)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_le__infE,axiom,
% 177.99/178.11 ! [V_b,V_a,V_x,T_a] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_a)
% 177.99/178.11 => ( 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)))
% 177.99/178.11 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 177.99/178.11 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf__mono,axiom,
% 177.99/178.11 ! [V_d,V_b,V_c,V_a,T_a] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 177.99/178.11 => 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))) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf__greatest,axiom,
% 177.99/178.11 ! [V_z,V_y,V_x,T_a] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 177.99/178.11 => 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))) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_le__infI,axiom,
% 177.99/178.11 ! [V_b,V_a,V_x,T_a] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 177.99/178.11 => 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))) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf__absorb2,axiom,
% 177.99/178.11 ! [V_x,V_y,T_a] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 177.99/178.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf__absorb1,axiom,
% 177.99/178.11 ! [V_y,V_x,T_a] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 177.99/178.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_le__infI2,axiom,
% 177.99/178.11 ! [V_a,V_x,V_b,T_a] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 177.99/178.11 => 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)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_le__infI1,axiom,
% 177.99/178.11 ! [V_b,V_x,V_a,T_a] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 177.99/178.11 => 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)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_le__inf__iff,axiom,
% 177.99/178.11 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_b)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_y_2),V_z_2)))
% 177.99/178.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 177.99/178.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_le__iff__inf,axiom,
% 177.99/178.11 ! [V_y_2,V_x_2,T_b] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_b)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 177.99/178.11 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf__le2,axiom,
% 177.99/178.11 ! [V_y,V_x,T_a] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_a)
% 177.99/178.11 => 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)) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf__sup__ord_I2_J,axiom,
% 177.99/178.11 ! [V_y,V_x,T_a] :
% 177.99/178.11 ( class_Lattices_Olattice(T_a)
% 177.99/178.11 => 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)) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf__le1,axiom,
% 177.99/178.11 ! [V_y,V_x,T_a] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_a)
% 177.99/178.11 => 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)) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf__sup__ord_I1_J,axiom,
% 177.99/178.11 ! [V_y,V_x,T_a] :
% 177.99/178.11 ( class_Lattices_Olattice(T_a)
% 177.99/178.11 => 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)) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_less__infI1,axiom,
% 177.99/178.11 ! [V_b,V_x,V_a,T_a] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 177.99/178.11 => 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)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_less__infI2,axiom,
% 177.99/178.11 ! [V_a,V_x,V_b,T_a] :
% 177.99/178.11 ( class_Lattices_Osemilattice__inf(T_a)
% 177.99/178.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 177.99/178.11 => 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)) ) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf__bot__left,axiom,
% 177.99/178.11 ! [V_x,T_a] :
% 177.99/178.11 ( class_Lattices_Obounded__lattice__bot(T_a)
% 177.99/178.11 => 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) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_inf__bot__right,axiom,
% 177.99/178.11 ! [V_x,T_a] :
% 177.99/178.11 ( class_Lattices_Obounded__lattice__bot(T_a)
% 177.99/178.11 => 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) ) ).
% 177.99/178.11
% 177.99/178.11 fof(fact_sup__inf__distrib2,axiom,
% 177.99/178.11 ! [V_x,V_z,V_y,T_a] :
% 177.99/178.11 ( class_Lattices_Odistrib__lattice(T_a)
% 177.99/178.12 => 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)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_inf__sup__distrib2,axiom,
% 177.99/178.12 ! [V_x,V_z,V_y,T_a] :
% 177.99/178.12 ( class_Lattices_Odistrib__lattice(T_a)
% 177.99/178.12 => 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)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_sup__inf__distrib1,axiom,
% 177.99/178.12 ! [V_z,V_y,V_x,T_a] :
% 177.99/178.12 ( class_Lattices_Odistrib__lattice(T_a)
% 177.99/178.12 => 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)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_inf__sup__distrib1,axiom,
% 177.99/178.12 ! [V_z,V_y,V_x,T_a] :
% 177.99/178.12 ( class_Lattices_Odistrib__lattice(T_a)
% 177.99/178.12 => 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)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_sup__inf__absorb,axiom,
% 177.99/178.12 ! [V_y,V_x,T_a] :
% 177.99/178.12 ( class_Lattices_Olattice(T_a)
% 177.99/178.12 => 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 ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_inf__sup__absorb,axiom,
% 177.99/178.12 ! [V_y,V_x,T_a] :
% 177.99/178.12 ( class_Lattices_Olattice(T_a)
% 177.99/178.12 => 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 ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Int__iff,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 177.99/178.12 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 177.99/178.12 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_IntD1,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_IntD2,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_fold__empty,axiom,
% 177.99/178.12 ! [V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Int__empty__left,axiom,
% 177.99/178.12 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Int__empty__right,axiom,
% 177.99/178.12 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_disjoint__iff__not__equal,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.12 ( 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))
% 177.99/178.12 <=> ! [B_x] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 177.99/178.12 => ! [B_xa] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2))
% 177.99/178.12 => B_x != B_xa ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_insert__inter__insert,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Int__lower1,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Int__lower2,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Int__absorb2,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Int__absorb1,axiom,
% 177.99/178.12 ! [V_A_2,V_B_2,T_b] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 177.99/178.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Int__greatest,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,V_C_2,T_b] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2))
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Int__mono,axiom,
% 177.99/178.12 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Int__Un__distrib,axiom,
% 177.99/178.12 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Un__Int__distrib,axiom,
% 177.99/178.12 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Int__Un__distrib2,axiom,
% 177.99/178.12 ! [V_A_2,V_C_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Un__Int__distrib2,axiom,
% 177.99/178.12 ! [V_A_2,V_C_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Un__Int__crazy,axiom,
% 177.99/178.12 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Diff__Int__distrib,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,V_C_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Int__Diff,axiom,
% 177.99/178.12 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Diff__Int__distrib2,axiom,
% 177.99/178.12 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Diff__Int2,axiom,
% 177.99/178.12 ! [V_B_2,V_C_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),V_B_2) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_fold__inf__le__inf,axiom,
% 177.99/178.12 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 177.99/178.12 ( class_Lattices_Osemilattice__inf(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_b_2))) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_distrib__inf__le,axiom,
% 177.99/178.12 ! [V_z,V_y,V_x,T_a] :
% 177.99/178.12 ( class_Lattices_Olattice(T_a)
% 177.99/178.12 => 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)))) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_distrib__sup__le,axiom,
% 177.99/178.12 ! [V_z,V_y,V_x,T_a] :
% 177.99/178.12 ( class_Lattices_Olattice(T_a)
% 177.99/178.12 => 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)))) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Int__insert__left__if1,axiom,
% 177.99/178.12 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 177.99/178.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Int__insert__right__if1,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Int__insert__left__if0,axiom,
% 177.99/178.12 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 177.99/178.12 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 177.99/178.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Int__insert__right__if0,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 177.99/178.12 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Int__insert__left,axiom,
% 177.99/178.12 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 177.99/178.12 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 177.99/178.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) )
% 177.99/178.12 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 177.99/178.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Int__insert__right,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 177.99/178.12 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 177.99/178.12 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Diff__triv,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.12 ( 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))
% 177.99/178.12 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Diff__disjoint,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Un__Int__assoc__eq,axiom,
% 177.99/178.12 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 177.99/178.12 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 177.99/178.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Diff__Int,axiom,
% 177.99/178.12 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Diff__Un,axiom,
% 177.99/178.12 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Un__Diff__Int,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = V_A_2 ).
% 177.99/178.12
% 177.99/178.12 fof(fact_setsum__diff__nat,axiom,
% 177.99/178.12 ! [V_f_2,V_A_2,V_B_2,T_b] :
% 177.99/178.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 177.99/178.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2)) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_union__fold__insert,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)),V_B_2),V_A_2) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_fold__sup__insert,axiom,
% 177.99/178.12 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 177.99/178.12 ( class_Lattices_Osemilattice__sup(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),V_A_2)) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_inf__Sup__absorb,axiom,
% 177.99/178.12 ! [V_a_2,V_A_2,T_b] :
% 177.99/178.12 ( class_Lattices_Olattice(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = V_a_2 ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_fold__graph__insert__swap,axiom,
% 177.99/178.12 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] :
% 177.99/178.12 ( class_Groups_Oab__semigroup__mult(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_b_2,V_A_2),V_y_2))
% 177.99/178.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 177.99/178.12 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2),V_y_2))) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 177.99/178.12 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] :
% 177.99/178.12 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_a_2),V_A_2) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 177.99/178.12 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 177.99/178.12 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_setsum__diff1__nat,axiom,
% 177.99/178.12 ! [V_f_2,V_A_2,V_a_2,T_b] :
% 177.99/178.12 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 177.99/178.12 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_setsum__diff,axiom,
% 177.99/178.12 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 177.99/178.12 ( class_Groups_Oab__group__add(T_c)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 177.99/178.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2)) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_sup__le__fold__sup,axiom,
% 177.99/178.12 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 177.99/178.12 ( class_Lattices_Osemilattice__sup(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),V_A_2))) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 177.99/178.12 ! [V_a_2,V_A_2,T_b] :
% 177.99/178.12 ( class_Lattices_Olattice(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_a_2),V_A_2) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_folding__one_Oeq__fold_H,axiom,
% 177.99/178.12 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 177.99/178.12 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.12 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_x_2),V_A_2) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_folding__one_Ounion__inter,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 177.99/178.12 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.12 => ( 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))
% 177.99/178.12 => 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)) ) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_folding__one_Ounion__disjoint,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 177.99/178.12 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.12 => ( 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))
% 177.99/178.12 => 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)) ) ) ) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 177.99/178.12 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 177.99/178.12 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 177.99/178.12 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 177.99/178.12 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 177.99/178.12 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 177.99/178.12 => 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) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 177.99/178.12 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 177.99/178.12 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 177.99/178.12 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 177.99/178.12 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 177.99/178.12 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.12 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 177.99/178.12 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 177.99/178.12 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Inf__fin_Oremove,axiom,
% 177.99/178.12 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.12 ( class_Lattices_Olattice(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.12 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.12 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 )
% 177.99/178.12 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.12 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 177.99/178.12 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 177.99/178.12 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.12 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 177.99/178.12 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 177.99/178.12 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.12 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_setsum__strict__mono,axiom,
% 177.99/178.12 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 177.99/178.12 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 177.99/178.12 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) )
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.12 => ( ! [B_x] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2))) ) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_setsum__diff1_H,axiom,
% 177.99/178.12 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 177.99/178.12 ( class_Groups_Ocomm__monoid__add(T_c)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_setsum_Oremove,axiom,
% 177.99/178.12 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 177.99/178.12 ( class_Groups_Ocomm__monoid__add(T_c)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 177.99/178.12 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.12 ( class_Lattices_Olattice(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.12 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_x_2),V_A_2) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Inf__fin_Ounion__inter,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.12 ( class_Lattices_Olattice(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.12 => ( 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))
% 177.99/178.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__right__imp__eq,axiom,
% 177.99/178.12 ! [V_c,V_a,V_b,T_a] :
% 177.99/178.12 ( class_Groups_Ocancel__semigroup__add(T_a)
% 177.99/178.12 => ( 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)
% 177.99/178.12 => V_b = V_c ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__imp__eq,axiom,
% 177.99/178.12 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.12 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 177.99/178.12 => ( 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)
% 177.99/178.12 => V_b = V_c ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__left__imp__eq,axiom,
% 177.99/178.12 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.12 ( class_Groups_Ocancel__semigroup__add(T_a)
% 177.99/178.12 => ( 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)
% 177.99/178.12 => V_b = V_c ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__right__cancel,axiom,
% 177.99/178.12 ! [V_c_2,V_a_2,V_b_2,T_b] :
% 177.99/178.12 ( class_Groups_Ocancel__semigroup__add(T_b)
% 177.99/178.12 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)
% 177.99/178.12 <=> V_b_2 = V_c_2 ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__left__cancel,axiom,
% 177.99/178.12 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 177.99/178.12 ( class_Groups_Ocancel__semigroup__add(T_b)
% 177.99/178.12 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)
% 177.99/178.12 <=> V_b_2 = V_c_2 ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 177.99/178.12 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.12 ( class_Groups_Oab__semigroup__add(T_a)
% 177.99/178.12 => 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)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 177.99/178.12 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 177.99/178.12 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 177.99/178.12 => 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)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__le__cancel__right,axiom,
% 177.99/178.12 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 177.99/178.12 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_c_2)))
% 177.99/178.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__le__cancel__left,axiom,
% 177.99/178.12 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 177.99/178.12 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_b_2)))
% 177.99/178.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__right__mono,axiom,
% 177.99/178.12 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.12 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 177.99/178.12 => 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))) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__left__mono,axiom,
% 177.99/178.12 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.12 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 177.99/178.12 => 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))) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__mono,axiom,
% 177.99/178.12 ! [V_d,V_c,V_b,V_a,T_a] :
% 177.99/178.12 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 177.99/178.12 => 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))) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__le__imp__le__right,axiom,
% 177.99/178.12 ! [V_b,V_c,V_a,T_a] :
% 177.99/178.12 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 177.99/178.12 => ( 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)))
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__le__imp__le__left,axiom,
% 177.99/178.12 ! [V_b,V_a,V_c,T_a] :
% 177.99/178.12 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 177.99/178.12 => ( 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)))
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__less__cancel__right,axiom,
% 177.99/178.12 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 177.99/178.12 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_c_2)))
% 177.99/178.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__less__cancel__left,axiom,
% 177.99/178.12 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 177.99/178.12 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_b_2)))
% 177.99/178.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__strict__right__mono,axiom,
% 177.99/178.12 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.12 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 177.99/178.12 => 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))) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__strict__left__mono,axiom,
% 177.99/178.12 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.12 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 177.99/178.12 => 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))) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__strict__mono,axiom,
% 177.99/178.12 ! [V_d,V_c,V_b,V_a,T_a] :
% 177.99/178.12 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 177.99/178.12 => 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))) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__less__imp__less__right,axiom,
% 177.99/178.12 ! [V_b,V_c,V_a,T_a] :
% 177.99/178.12 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 177.99/178.12 => ( 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)))
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__less__imp__less__left,axiom,
% 177.99/178.12 ! [V_b,V_a,V_c,T_a] :
% 177.99/178.12 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 177.99/178.12 => ( 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)))
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_diff__add__cancel,axiom,
% 177.99/178.12 ! [V_b,V_a,T_a] :
% 177.99/178.12 ( class_Groups_Ogroup__add(T_a)
% 177.99/178.12 => 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 ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__diff__cancel,axiom,
% 177.99/178.12 ! [V_b,V_a,T_a] :
% 177.99/178.12 ( class_Groups_Ogroup__add(T_a)
% 177.99/178.12 => 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 ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_fun__left__comm,axiom,
% 177.99/178.12 ! [T_b] :
% 177.99/178.12 ( class_Groups_Oab__semigroup__mult(T_b)
% 177.99/178.12 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__less__le__mono,axiom,
% 177.99/178.12 ! [V_d,V_c,V_b,V_a,T_a] :
% 177.99/178.12 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 177.99/178.12 => 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))) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__le__less__mono,axiom,
% 177.99/178.12 ! [V_d,V_c,V_b,V_a,T_a] :
% 177.99/178.12 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 177.99/178.12 => 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))) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 177.99/178.12 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 177.99/178.12 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 177.99/178.12 => V_y_2 = V_x_2 ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Inf__fin_Osingleton,axiom,
% 177.99/178.12 ! [V_x_2,T_b] :
% 177.99/178.12 ( class_Lattices_Olattice(T_b)
% 177.99/178.12 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_setsum__Un__nat,axiom,
% 177.99/178.12 ! [V_f_2,V_B_2,V_A_2,T_b] :
% 177.99/178.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 177.99/178.12 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 177.99/178.12 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_sup__Inf__absorb,axiom,
% 177.99/178.12 ! [V_a_2,V_A_2,T_b] :
% 177.99/178.12 ( class_Lattices_Olattice(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = V_a_2 ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Inf__fin_Oin__idem,axiom,
% 177.99/178.12 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.12 ( class_Lattices_Olattice(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 177.99/178.12 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 177.99/178.12 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 177.99/178.12 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_setsum_Oinsert,axiom,
% 177.99/178.12 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 177.99/178.12 ( class_Groups_Ocomm__monoid__add(T_c)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_setsum__insert,axiom,
% 177.99/178.12 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] :
% 177.99/178.12 ( class_Groups_Ocomm__monoid__add(T_c)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 177.99/178.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2))
% 177.99/178.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_F_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_F_2)) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_setsum__Un__Int,axiom,
% 177.99/178.12 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 177.99/178.12 ( class_Groups_Ocomm__monoid__add(T_c)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 177.99/178.12 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.12 ( class_Lattices_Olattice(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.12 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Inf__fin_Osubset__idem,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.12 ( class_Lattices_Olattice(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 177.99/178.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) ) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Inf__fin_Ounion__idem,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.12 ( class_Lattices_Olattice(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.12 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Inf__le__Sup,axiom,
% 177.99/178.12 ! [V_A_2,T_b] :
% 177.99/178.12 ( class_Lattices_Olattice(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2))) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 177.99/178.12 ! [V_a_2,V_A_2,T_b] :
% 177.99/178.12 ( class_Lattices_Olattice(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_a_2),V_A_2) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_setsum_Oinsert__remove,axiom,
% 177.99/178.12 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 177.99/178.12 ( class_Groups_Ocomm__monoid__add(T_c)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_setsum__Un__disjoint,axiom,
% 177.99/178.12 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 177.99/178.12 ( class_Groups_Ocomm__monoid__add(T_c)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.12 => ( 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))
% 177.99/178.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_setsum__Un,axiom,
% 177.99/178.12 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 177.99/178.12 ( class_Groups_Oab__group__add(T_c)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 177.99/178.12 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 177.99/178.12 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2))) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Inf__fin_Oinsert,axiom,
% 177.99/178.12 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.12 ( class_Lattices_Olattice(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.12 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) ) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 177.99/178.12 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.12 ( class_Lattices_Olattice(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.12 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 177.99/178.12 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.12 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 177.99/178.12 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.12 ( class_Lattices_Olattice(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.12 => ( 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))
% 177.99/178.12 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_less__add__iff2,axiom,
% 177.99/178.12 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 177.99/178.12 ( class_Rings_Oordered__ring(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 177.99/178.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_less__add__iff1,axiom,
% 177.99/178.12 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 177.99/178.12 ( class_Rings_Oordered__ring(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 177.99/178.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_le__add__iff2,axiom,
% 177.99/178.12 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 177.99/178.12 ( class_Rings_Oordered__ring(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 177.99/178.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_le__add__iff1,axiom,
% 177.99/178.12 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 177.99/178.12 ( class_Rings_Oordered__ring(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 177.99/178.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_eq__add__iff2,axiom,
% 177.99/178.12 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 177.99/178.12 ( class_Rings_Oring(T_b)
% 177.99/178.12 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)
% 177.99/178.12 <=> V_c_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_eq__add__iff1,axiom,
% 177.99/178.12 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 177.99/178.12 ( class_Rings_Oring(T_b)
% 177.99/178.12 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)
% 177.99/178.12 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2) = V_d_2 ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 177.99/178.12 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 177.99/178.12 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.12 => ? [B_y_H] :
% 177.99/178.12 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 177.99/178.12 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),B_y_H)) ) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Inf__fin_Oclosed,axiom,
% 177.99/178.12 ! [V_A_2,T_b] :
% 177.99/178.12 ( class_Lattices_Olattice(T_b)
% 177.99/178.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.12 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 177.99/178.12 ! [V_z,V_y,V_x,T_a] :
% 177.99/178.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.12 => 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)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_crossproduct__noteq,axiom,
% 177.99/178.12 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 177.99/178.12 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 177.99/178.12 => ( ( V_a_2 != V_b_2
% 177.99/178.12 & V_c_2 != V_d_2 )
% 177.99/178.12 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_d_2)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2)) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_linorder__neqE__linordered__idom,axiom,
% 177.99/178.12 ! [V_y,V_x,T_a] :
% 177.99/178.12 ( class_Rings_Olinordered__idom(T_a)
% 177.99/178.12 => ( V_x != V_y
% 177.99/178.12 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 177.99/178.12 ! [V_d,V_c,V_b,V_a,T_a] :
% 177.99/178.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.12 => 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)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 177.99/178.12 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.12 => 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) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 177.99/178.12 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.12 => 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)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 177.99/178.12 ! [V_d,V_c,V_a,T_a] :
% 177.99/178.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.12 => 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) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 177.99/178.12 ! [V_d,V_c,V_a,T_a] :
% 177.99/178.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.12 => 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)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 177.99/178.12 ! [V_c,V_a,T_a] :
% 177.99/178.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.12 => 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) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 177.99/178.12 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 177.99/178.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.12 => 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)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 177.99/178.12 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 177.99/178.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.12 => 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)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 177.99/178.12 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 177.99/178.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.12 => 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))) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 177.99/178.12 ! [V_rx,V_ly,V_lx,T_a] :
% 177.99/178.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.12 => 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) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 177.99/178.12 ! [V_rx,V_ly,V_lx,T_a] :
% 177.99/178.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.12 => 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)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 177.99/178.12 ! [V_ry,V_rx,V_lx,T_a] :
% 177.99/178.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.12 => 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) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 177.99/178.12 ! [V_ry,V_rx,V_lx,T_a] :
% 177.99/178.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.12 => 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)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 177.99/178.12 ! [V_b,V_a,T_a] :
% 177.99/178.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.12 => 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) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_crossproduct__eq,axiom,
% 177.99/178.12 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] :
% 177.99/178.12 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 177.99/178.12 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_y_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_z_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_y_2))
% 177.99/178.12 <=> ( V_w_2 = V_x_2
% 177.99/178.12 | V_y_2 = V_z_2 ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_combine__common__factor,axiom,
% 177.99/178.12 ! [V_c,V_b,V_e,V_a,T_a] :
% 177.99/178.12 ( class_Rings_Osemiring(T_a)
% 177.99/178.12 => 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) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 177.99/178.12 ! [V_b,V_m,V_a,T_a] :
% 177.99/178.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.12 => 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) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 177.99/178.12 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.12 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.12 => 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)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_comm__semiring__class_Odistrib,axiom,
% 177.99/178.12 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.12 ( class_Rings_Ocomm__semiring(T_a)
% 177.99/178.12 => 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)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__diff__inverse,axiom,
% 177.99/178.12 ! [V_n,V_m] :
% 177.99/178.12 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 177.99/178.12 => 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 ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_less__diff__conv,axiom,
% 177.99/178.12 ! [V_k_2,V_j_2,V_i_2] :
% 177.99/178.12 ( 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)))
% 177.99/178.12 <=> 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)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_diff__cancel2,axiom,
% 177.99/178.12 ! [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) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_diff__cancel,axiom,
% 177.99/178.12 ! [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) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_diff__diff__left,axiom,
% 177.99/178.12 ! [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)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_diff__add__inverse,axiom,
% 177.99/178.12 ! [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 ).
% 177.99/178.12
% 177.99/178.12 fof(fact_diff__add__inverse2,axiom,
% 177.99/178.12 ! [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 ).
% 177.99/178.12
% 177.99/178.12 fof(fact_diff__diff__right,axiom,
% 177.99/178.12 ! [V_i,V_j,V_k] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 177.99/178.12 => 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) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_le__diff__conv,axiom,
% 177.99/178.12 ! [V_i_2,V_k_2,V_j_2] :
% 177.99/178.12 ( 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))
% 177.99/178.12 <=> 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))) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_le__add__diff,axiom,
% 177.99/178.12 ! [V_m,V_n,V_k] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 177.99/178.12 => 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))) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_le__square,axiom,
% 177.99/178.12 ! [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))) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_le__cube,axiom,
% 177.99/178.12 ! [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)))) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_mult__le__mono1,axiom,
% 177.99/178.12 ! [V_k,V_j,V_i] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 177.99/178.12 => 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))) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_mult__le__mono2,axiom,
% 177.99/178.12 ! [V_k,V_j,V_i] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 177.99/178.12 => 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))) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_mult__le__mono,axiom,
% 177.99/178.12 ! [V_l,V_k,V_j,V_i] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 177.99/178.12 => 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))) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_le__antisym,axiom,
% 177.99/178.12 ! [V_n,V_m] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 177.99/178.12 => V_m = V_n ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_le__trans,axiom,
% 177.99/178.12 ! [V_k,V_j,V_i] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_eq__imp__le,axiom,
% 177.99/178.12 ! [V_n,V_m] :
% 177.99/178.12 ( V_m = V_n
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_nat__le__linear,axiom,
% 177.99/178.12 ! [V_n,V_m] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 177.99/178.12 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_le__refl,axiom,
% 177.99/178.12 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_less__not__refl,axiom,
% 177.99/178.12 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_nat__neq__iff,axiom,
% 177.99/178.12 ! [V_n_2,V_m_2] :
% 177.99/178.12 ( V_m_2 != V_n_2
% 177.99/178.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 177.99/178.12 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_linorder__neqE__nat,axiom,
% 177.99/178.12 ! [V_y,V_x] :
% 177.99/178.12 ( V_x != V_y
% 177.99/178.12 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_less__irrefl__nat,axiom,
% 177.99/178.12 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_less__not__refl2,axiom,
% 177.99/178.12 ! [V_m,V_n] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 177.99/178.12 => V_m != V_n ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_less__not__refl3,axiom,
% 177.99/178.12 ! [V_t,V_s] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 177.99/178.12 => V_s != V_t ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_nat__less__cases,axiom,
% 177.99/178.12 ! [V_Pa_2,V_n_2,V_m_2] :
% 177.99/178.12 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 177.99/178.12 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 177.99/178.12 => ( ( V_m_2 = V_n_2
% 177.99/178.12 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 177.99/178.12 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 177.99/178.12 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 177.99/178.12 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_nat__less__le,axiom,
% 177.99/178.12 ! [V_n_2,V_m_2] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 177.99/178.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 177.99/178.12 & V_m_2 != V_n_2 ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_le__eq__less__or__eq,axiom,
% 177.99/178.12 ! [V_n_2,V_m_2] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 177.99/178.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 177.99/178.12 | V_m_2 = V_n_2 ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_less__imp__le__nat,axiom,
% 177.99/178.12 ! [V_n,V_m] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_le__neq__implies__less,axiom,
% 177.99/178.12 ! [V_n,V_m] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 177.99/178.12 => ( V_m != V_n
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_less__or__eq__imp__le,axiom,
% 177.99/178.12 ! [V_n,V_m] :
% 177.99/178.12 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 177.99/178.12 | V_m = V_n )
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__lessD1,axiom,
% 177.99/178.12 ! [V_k,V_j,V_i] :
% 177.99/178.12 ( 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))
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_less__add__eq__less,axiom,
% 177.99/178.12 ! [V_n,V_m,V_l,V_k] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 177.99/178.12 => ( 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)
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__less__mono,axiom,
% 177.99/178.12 ! [V_l,V_k,V_j,V_i] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 177.99/178.12 => 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))) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__less__mono1,axiom,
% 177.99/178.12 ! [V_k,V_j,V_i] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 177.99/178.12 => 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))) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_trans__less__add2,axiom,
% 177.99/178.12 ! [V_m,V_j,V_i] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 177.99/178.12 => 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))) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_trans__less__add1,axiom,
% 177.99/178.12 ! [V_m,V_j,V_i] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 177.99/178.12 => 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))) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_nat__add__left__cancel__less,axiom,
% 177.99/178.12 ! [V_n_2,V_m_2,V_k_2] :
% 177.99/178.12 ( 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)))
% 177.99/178.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_not__add__less2,axiom,
% 177.99/178.12 ! [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)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_not__add__less1,axiom,
% 177.99/178.12 ! [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)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_nat__add__right__cancel,axiom,
% 177.99/178.12 ! [V_n_2,V_k_2,V_m_2] :
% 177.99/178.12 ( 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)
% 177.99/178.12 <=> V_m_2 = V_n_2 ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_nat__add__left__cancel,axiom,
% 177.99/178.12 ! [V_n_2,V_m_2,V_k_2] :
% 177.99/178.12 ( 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)
% 177.99/178.12 <=> V_m_2 = V_n_2 ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_nat__add__assoc,axiom,
% 177.99/178.12 ! [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)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_nat__add__left__commute,axiom,
% 177.99/178.12 ! [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)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_nat__add__commute,axiom,
% 177.99/178.12 ! [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) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_le__add2,axiom,
% 177.99/178.12 ! [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))) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_le__add1,axiom,
% 177.99/178.12 ! [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))) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_le__iff__add,axiom,
% 177.99/178.12 ! [V_n_2,V_m_2] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 177.99/178.12 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_nat__add__left__cancel__le,axiom,
% 177.99/178.12 ! [V_n_2,V_m_2,V_k_2] :
% 177.99/178.12 ( 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)))
% 177.99/178.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_trans__le__add1,axiom,
% 177.99/178.12 ! [V_m,V_j,V_i] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 177.99/178.12 => 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))) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_trans__le__add2,axiom,
% 177.99/178.12 ! [V_m,V_j,V_i] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 177.99/178.12 => 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))) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__le__mono1,axiom,
% 177.99/178.12 ! [V_k,V_j,V_i] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 177.99/178.12 => 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))) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__le__mono,axiom,
% 177.99/178.12 ! [V_l,V_k,V_j,V_i] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 177.99/178.12 => 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))) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__leD2,axiom,
% 177.99/178.12 ! [V_n,V_k,V_m] :
% 177.99/178.12 ( 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))
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__leD1,axiom,
% 177.99/178.12 ! [V_n,V_k,V_m] :
% 177.99/178.12 ( 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))
% 177.99/178.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__leE,axiom,
% 177.99/178.12 ! [V_n,V_k,V_m] :
% 177.99/178.12 ( 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))
% 177.99/178.12 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 177.99/178.12 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__mult__distrib2,axiom,
% 177.99/178.12 ! [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)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_add__mult__distrib,axiom,
% 177.99/178.12 ! [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)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_diff__mult__distrib,axiom,
% 177.99/178.12 ! [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)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_diff__mult__distrib2,axiom,
% 177.99/178.12 ! [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)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_le__diff__iff,axiom,
% 177.99/178.12 ! [V_n_2,V_m_2,V_k_2] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 177.99/178.12 => ( 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)))
% 177.99/178.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_Nat_Odiff__diff__eq,axiom,
% 177.99/178.12 ! [V_n,V_m,V_k] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 177.99/178.12 => 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) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_eq__diff__iff,axiom,
% 177.99/178.12 ! [V_n_2,V_m_2,V_k_2] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 177.99/178.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 177.99/178.12 => ( 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)
% 177.99/178.12 <=> V_m_2 = V_n_2 ) ) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_diff__diff__cancel,axiom,
% 177.99/178.12 ! [V_n,V_i] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 177.99/178.12 => 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 ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_diff__le__mono,axiom,
% 177.99/178.12 ! [V_l,V_n,V_m] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 177.99/178.12 => 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))) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_diff__le__mono2,axiom,
% 177.99/178.12 ! [V_l,V_n,V_m] :
% 177.99/178.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 177.99/178.12 => 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))) ) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_diff__le__self,axiom,
% 177.99/178.12 ! [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)) ).
% 177.99/178.12
% 177.99/178.12 fof(fact_diff__commute,axiom,
% 177.99/178.13 ! [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) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_less__imp__diff__less,axiom,
% 177.99/178.13 ! [V_n,V_k,V_j] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 177.99/178.13 => 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)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_diff__less__mono,axiom,
% 177.99/178.13 ! [V_c,V_b,V_a] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 177.99/178.13 => 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))) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_diff__less__mono2,axiom,
% 177.99/178.13 ! [V_l,V_n,V_m] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 177.99/178.13 => 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))) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_less__diff__iff,axiom,
% 177.99/178.13 ! [V_n_2,V_m_2,V_k_2] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 177.99/178.13 => ( 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)))
% 177.99/178.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_diff__add__assoc2,axiom,
% 177.99/178.13 ! [V_i,V_j,V_k] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 177.99/178.13 => 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) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_add__diff__assoc2,axiom,
% 177.99/178.13 ! [V_i,V_j,V_k] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 177.99/178.13 => 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) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_diff__add__assoc,axiom,
% 177.99/178.13 ! [V_i,V_j,V_k] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 177.99/178.13 => 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)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_le__imp__diff__is__add,axiom,
% 177.99/178.13 ! [V_k_2,V_j_2,V_i_2] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 177.99/178.13 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 177.99/178.13 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_le__add__diff__inverse2,axiom,
% 177.99/178.13 ! [V_m,V_n] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 177.99/178.13 => 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 ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_le__diff__conv2,axiom,
% 177.99/178.13 ! [V_i_2,V_j_2,V_k_2] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 177.99/178.13 => ( 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)))
% 177.99/178.13 <=> 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)) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_add__diff__assoc,axiom,
% 177.99/178.13 ! [V_i,V_j,V_k] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 177.99/178.13 => 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) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_le__add__diff__inverse,axiom,
% 177.99/178.13 ! [V_m,V_n] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 177.99/178.13 => 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 ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_nat__less__add__iff1,axiom,
% 177.99/178.13 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 177.99/178.13 => ( 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)))
% 177.99/178.13 <=> 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)) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_nat__less__add__iff2,axiom,
% 177.99/178.13 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 177.99/178.13 => ( 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)))
% 177.99/178.13 <=> 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))) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_nat__eq__add__iff2,axiom,
% 177.99/178.13 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 177.99/178.13 => ( 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)
% 177.99/178.13 <=> 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) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_nat__diff__add__eq2,axiom,
% 177.99/178.13 ! [V_n,V_m,V_u,V_j,V_i] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 177.99/178.13 => 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)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_nat__le__add__iff2,axiom,
% 177.99/178.13 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 177.99/178.13 => ( 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)))
% 177.99/178.13 <=> 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))) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_nat__eq__add__iff1,axiom,
% 177.99/178.13 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 177.99/178.13 => ( 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)
% 177.99/178.13 <=> 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 ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_nat__diff__add__eq1,axiom,
% 177.99/178.13 ! [V_n,V_m,V_u,V_i,V_j] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 177.99/178.13 => 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) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_nat__le__add__iff1,axiom,
% 177.99/178.13 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 177.99/178.13 => ( 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)))
% 177.99/178.13 <=> 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)) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_termination__basic__simps_I3_J,axiom,
% 177.99/178.13 ! [V_z,V_y,V_x] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 177.99/178.13 => 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))) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_nat__mult__assoc,axiom,
% 177.99/178.13 ! [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)) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_nat__mult__commute,axiom,
% 177.99/178.13 ! [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) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_left__add__mult__distrib,axiom,
% 177.99/178.13 ! [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) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_termination__basic__simps_I1_J,axiom,
% 177.99/178.13 ! [V_z,V_y,V_x] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 177.99/178.13 => 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))) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_termination__basic__simps_I2_J,axiom,
% 177.99/178.13 ! [V_y,V_z,V_x] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 177.99/178.13 => 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))) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_termination__basic__simps_I5_J,axiom,
% 177.99/178.13 ! [V_y,V_x] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_termination__basic__simps_I4_J,axiom,
% 177.99/178.13 ! [V_y,V_z,V_x] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 177.99/178.13 => 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))) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Sup__fold__sup,axiom,
% 177.99/178.13 ! [V_A_2,T_b] :
% 177.99/178.13 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),c_Orderings_Obot__class_Obot(T_b)),V_A_2) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fold1__eq__fold,axiom,
% 177.99/178.13 ! [V_a_2,V_A_2,T_b] :
% 177.99/178.13 ( class_Groups_Oab__semigroup__mult(T_b)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.13 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fold1__Un,axiom,
% 177.99/178.13 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.13 ( class_Groups_Oab__semigroup__mult(T_b)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.13 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.13 => ( 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))
% 177.99/178.13 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_card__Diff1__less,axiom,
% 177.99/178.13 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_card__Diff2__less,axiom,
% 177.99/178.13 ! [V_y_2,V_x_2,V_A_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 177.99/178.13 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 177.99/178.13 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 177.99/178.13 => ( ! [B_x] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 177.99/178.13 => hAPP(V_g_2,B_x) = V_z_2 )
% 177.99/178.13 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fold1__insert,axiom,
% 177.99/178.13 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.13 ( class_Groups_Oab__semigroup__mult(T_b)
% 177.99/178.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.13 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 177.99/178.13 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 177.99/178.13 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_v_2))
% 177.99/178.13 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.13 => ~ ! [B_y] :
% 177.99/178.13 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 177.99/178.13 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 177.99/178.13 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 177.99/178.13 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 177.99/178.13 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] :
% 177.99/178.13 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 177.99/178.13 => 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) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_finite__UnionD,axiom,
% 177.99/178.13 ! [V_A_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))
% 177.99/178.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fun__left__comm__idem__insert,axiom,
% 177.99/178.13 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fun__left__comm__idem,axiom,
% 177.99/178.13 ! [T_b] :
% 177.99/178.13 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 177.99/178.13 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fun__left__comm__idem__sup,axiom,
% 177.99/178.13 ! [T_b] :
% 177.99/178.13 ( class_Lattices_Osemilattice__sup(T_b)
% 177.99/178.13 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fun__left__comm__idem__inf,axiom,
% 177.99/178.13 ! [T_b] :
% 177.99/178.13 ( class_Lattices_Osemilattice__inf(T_b)
% 177.99/178.13 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fold1__singleton__def,axiom,
% 177.99/178.13 ! [V_a_2,V_f_2,T_b,V_g_2] :
% 177.99/178.13 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2)
% 177.99/178.13 => hAPP(V_g_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fold1__singleton,axiom,
% 177.99/178.13 ! [V_a_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ).
% 177.99/178.13
% 177.99/178.13 fof(fact_folding__one_Oeq__fold,axiom,
% 177.99/178.13 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 177.99/178.13 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_card__insert__le,axiom,
% 177.99/178.13 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)))) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_card__seteq,axiom,
% 177.99/178.13 ! [V_A_2,V_B_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 177.99/178.13 => V_A_2 = V_B_2 ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_card__mono,axiom,
% 177.99/178.13 ! [V_A_2,V_B_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_psubset__card__mono,axiom,
% 177.99/178.13 ! [V_A_2,V_B_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Sup__fin_OF__eq,axiom,
% 177.99/178.13 ! [V_A_2,T_b] :
% 177.99/178.13 ( class_Lattices_Olattice(T_b)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_A_2) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Inf__fin_OF__eq,axiom,
% 177.99/178.13 ! [V_A_2,T_b] :
% 177.99/178.13 ( class_Lattices_Olattice(T_b)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_card__Un__Int,axiom,
% 177.99/178.13 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_card_Ounion__inter,axiom,
% 177.99/178.13 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_card__Diff__subset,axiom,
% 177.99/178.13 ! [V_A_2,V_B_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 177.99/178.13 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_card__Diff__subset__Int,axiom,
% 177.99/178.13 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 177.99/178.13 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_diff__card__le__card__Diff,axiom,
% 177.99/178.13 ! [V_A_2,V_B_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_card__psubset,axiom,
% 177.99/178.13 ! [V_A_2,V_B_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_sup__Sup__fold__sup,axiom,
% 177.99/178.13 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.13 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_B_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_B_2),V_A_2) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fold1__belowI,axiom,
% 177.99/178.13 ! [V_a_2,V_A_2,T_b] :
% 177.99/178.13 ( class_Lattices_Osemilattice__inf(T_b)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2)),V_a_2)) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_below__fold1__iff,axiom,
% 177.99/178.13 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.13 ( class_Lattices_Osemilattice__inf(T_b)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2)))
% 177.99/178.13 <=> ! [B_x] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Sup__fin__Sup,axiom,
% 177.99/178.13 ! [V_A_2,T_b] :
% 177.99/178.13 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.13 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fold1__insert__idem,axiom,
% 177.99/178.13 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.13 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 177.99/178.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fold1__Un2,axiom,
% 177.99/178.13 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.13 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.13 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.13 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fold1__eq__fold__idem,axiom,
% 177.99/178.13 ! [V_a_2,V_A_2,T_b] :
% 177.99/178.13 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_card__Un__disjoint,axiom,
% 177.99/178.13 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.13 => ( 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))
% 177.99/178.13 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_card__Diff1__le,axiom,
% 177.99/178.13 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 177.99/178.13 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 177.99/178.13 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Sup__binary,axiom,
% 177.99/178.13 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.13 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 177.99/178.13 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_b_2) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_semilattice__big_OF__eq,axiom,
% 177.99/178.13 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 177.99/178.13 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Sup__insert,axiom,
% 177.99/178.13 ! [V_A_2,V_a_2,T_b] :
% 177.99/178.13 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 177.99/178.13 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Sup__singleton,axiom,
% 177.99/178.13 ! [V_a_2,T_b] :
% 177.99/178.13 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 177.99/178.13 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Sup__empty,axiom,
% 177.99/178.13 ! [T_b] :
% 177.99/178.13 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 177.99/178.13 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Sup__upper,axiom,
% 177.99/178.13 ! [V_A_2,V_x_2,T_b] :
% 177.99/178.13 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2))) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_UnionI,axiom,
% 177.99/178.13 ! [V_A_2,V_C_2,V_X_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Union__mono,axiom,
% 177.99/178.13 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fold1__in,axiom,
% 177.99/178.13 ! [V_A_2,T_b] :
% 177.99/178.13 ( class_Groups_Oab__semigroup__mult(T_b)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.13 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),V_A_2)) ) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Union__empty,axiom,
% 177.99/178.13 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Union__upper,axiom,
% 177.99/178.13 ! [V_A_2,V_B_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Union__insert,axiom,
% 177.99/178.13 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Un__eq__Union,axiom,
% 177.99/178.13 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Union__Un__distrib,axiom,
% 177.99/178.13 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Union__disjoint,axiom,
% 177.99/178.13 ! [V_A_2,V_C_2,T_b] :
% 177.99/178.13 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.13 <=> ! [B_x] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2))
% 177.99/178.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_x),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Union__Int__subset,axiom,
% 177.99/178.13 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)))) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Sup__le__iff,axiom,
% 177.99/178.13 ! [V_b_2,V_A_2,T_b] :
% 177.99/178.13 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)),V_b_2))
% 177.99/178.13 <=> ! [B_x] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_less__Sup__iff,axiom,
% 177.99/178.13 ! [V_S_2,V_a_2,T_b] :
% 177.99/178.13 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 177.99/178.13 & class_Orderings_Olinorder(T_b) )
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2)))
% 177.99/178.13 <=> ? [B_x] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 177.99/178.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_card__Diff__singleton__if,axiom,
% 177.99/178.13 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.13 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 177.99/178.13 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.13 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_card__Diff__singleton,axiom,
% 177.99/178.13 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.13 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_finite__Union,axiom,
% 177.99/178.13 ! [V_A_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2))
% 177.99/178.13 => ( ! [B_M] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2))
% 177.99/178.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) )
% 177.99/178.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_card_Oremove,axiom,
% 177.99/178.13 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.13 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_card_Oinsert__remove,axiom,
% 177.99/178.13 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_card__Diff__insert,axiom,
% 177.99/178.13 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.13 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 177.99/178.13 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_card__Suc__Diff1,axiom,
% 177.99/178.13 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.13 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_setprod_Oremove,axiom,
% 177.99/178.13 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_insert__partition,axiom,
% 177.99/178.13 ! [V_F_2,V_x_2,T_b] :
% 177.99/178.13 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))
% 177.99/178.13 => ( ! [B_x] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)))
% 177.99/178.13 => ! [B_xa] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_xa),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)))
% 177.99/178.13 => ( B_x != B_xa
% 177.99/178.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_x),B_xa) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 177.99/178.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_x_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_F_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_lessI,axiom,
% 177.99/178.13 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Suc__mono,axiom,
% 177.99/178.13 ! [V_n,V_m] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_setprod__infinite,axiom,
% 177.99/178.13 ! [V_f_2,V_A_2,T_b,T_c] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 177.99/178.13 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_setprod_Oinfinite,axiom,
% 177.99/178.13 ! [V_g_2,V_A_2,T_b,T_c] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 177.99/178.13 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_setprod__eq__1__iff,axiom,
% 177.99/178.13 ! [V_f_2,V_F_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 177.99/178.13 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 177.99/178.13 <=> ! [B_x] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 177.99/178.13 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_one__reorient,axiom,
% 177.99/178.13 ! [V_x_2,T_b] :
% 177.99/178.13 ( class_Groups_Oone(T_b)
% 177.99/178.13 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2
% 177.99/178.13 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_setprod__empty,axiom,
% 177.99/178.13 ! [V_f_2,T_c,T_b] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__mult(T_b)
% 177.99/178.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_b) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_setprod_Oempty,axiom,
% 177.99/178.13 ! [V_g_2,T_c,T_b] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__mult(T_b)
% 177.99/178.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_b) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_diff__Suc__1,axiom,
% 177.99/178.13 ! [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 ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Suc__inject,axiom,
% 177.99/178.13 ! [V_y,V_x] :
% 177.99/178.13 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 177.99/178.13 => V_x = V_y ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_nat_Oinject,axiom,
% 177.99/178.13 ! [V_nat_H_2,V_nat_2] :
% 177.99/178.13 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 177.99/178.13 <=> V_nat_2 = V_nat_H_2 ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Suc__n__not__n,axiom,
% 177.99/178.13 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 177.99/178.13
% 177.99/178.13 fof(fact_n__not__Suc__n,axiom,
% 177.99/178.13 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_mult_Ocomm__neutral,axiom,
% 177.99/178.13 ! [V_a,T_a] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__mult(T_a)
% 177.99/178.13 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_mult__1__right,axiom,
% 177.99/178.13 ! [V_a,T_a] :
% 177.99/178.13 ( class_Groups_Omonoid__mult(T_a)
% 177.99/178.13 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_mult__1,axiom,
% 177.99/178.13 ! [V_a,T_a] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__mult(T_a)
% 177.99/178.13 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_mult__1__left,axiom,
% 177.99/178.13 ! [V_a,T_a] :
% 177.99/178.13 ( class_Groups_Omonoid__mult(T_a)
% 177.99/178.13 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 177.99/178.13 ! [V_a,T_a] :
% 177.99/178.13 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.13 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 177.99/178.13 ! [V_a,T_a] :
% 177.99/178.13 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.13 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_not__less__eq,axiom,
% 177.99/178.13 ! [V_n_2,V_m_2] :
% 177.99/178.13 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 177.99/178.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_less__Suc__eq,axiom,
% 177.99/178.13 ! [V_n_2,V_m_2] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 177.99/178.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 177.99/178.13 | V_m_2 = V_n_2 ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Suc__less__eq,axiom,
% 177.99/178.13 ! [V_n_2,V_m_2] :
% 177.99/178.13 ( 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)))
% 177.99/178.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_not__less__less__Suc__eq,axiom,
% 177.99/178.13 ! [V_m_2,V_n_2] :
% 177.99/178.13 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 177.99/178.13 <=> V_n_2 = V_m_2 ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_less__antisym,axiom,
% 177.99/178.13 ! [V_m,V_n] :
% 177.99/178.13 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 177.99/178.13 => V_m = V_n ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_less__SucI,axiom,
% 177.99/178.13 ! [V_n,V_m] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Suc__lessI,axiom,
% 177.99/178.13 ! [V_n,V_m] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 177.99/178.13 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_less__trans__Suc,axiom,
% 177.99/178.13 ! [V_k,V_j,V_i] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_less__SucE,axiom,
% 177.99/178.13 ! [V_n,V_m] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 177.99/178.13 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 177.99/178.13 => V_m = V_n ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Suc__lessD,axiom,
% 177.99/178.13 ! [V_n,V_m] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Suc__less__SucD,axiom,
% 177.99/178.13 ! [V_n,V_m] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_add__Suc__shift,axiom,
% 177.99/178.13 ! [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)) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_add__Suc,axiom,
% 177.99/178.13 ! [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)) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_add__Suc__right,axiom,
% 177.99/178.13 ! [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)) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Suc__leD,axiom,
% 177.99/178.13 ! [V_n,V_m] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_le__SucE,axiom,
% 177.99/178.13 ! [V_n,V_m] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 177.99/178.13 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 177.99/178.13 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_le__SucI,axiom,
% 177.99/178.13 ! [V_n,V_m] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Suc__le__mono,axiom,
% 177.99/178.13 ! [V_m_2,V_n_2] :
% 177.99/178.13 ( 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)))
% 177.99/178.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_le__Suc__eq,axiom,
% 177.99/178.13 ! [V_n_2,V_m_2] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 177.99/178.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 177.99/178.13 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_not__less__eq__eq,axiom,
% 177.99/178.13 ! [V_n_2,V_m_2] :
% 177.99/178.13 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 177.99/178.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Suc__n__not__le__n,axiom,
% 177.99/178.13 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_diff__Suc__Suc,axiom,
% 177.99/178.13 ! [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) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Suc__diff__diff,axiom,
% 177.99/178.13 ! [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) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Suc__mult__cancel1,axiom,
% 177.99/178.13 ! [V_n_2,V_m_2,V_k_2] :
% 177.99/178.13 ( 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)
% 177.99/178.13 <=> V_m_2 = V_n_2 ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_nat__mult__1,axiom,
% 177.99/178.13 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 177.99/178.13
% 177.99/178.13 fof(fact_nat__1__eq__mult__iff,axiom,
% 177.99/178.13 ! [V_n_2,V_m_2] :
% 177.99/178.13 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)
% 177.99/178.13 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 177.99/178.13 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_nat__mult__1__right,axiom,
% 177.99/178.13 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 177.99/178.13
% 177.99/178.13 fof(fact_nat__mult__eq__1__iff,axiom,
% 177.99/178.13 ! [V_n_2,V_m_2] :
% 177.99/178.13 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 177.99/178.13 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 177.99/178.13 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_less__add__one,axiom,
% 177.99/178.13 ! [V_a,T_a] :
% 177.99/178.13 ( class_Rings_Olinordered__semidom(T_a)
% 177.99/178.13 => 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)))) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_less__1__mult,axiom,
% 177.99/178.13 ! [V_n,V_m,T_a] :
% 177.99/178.13 ( class_Rings_Olinordered__semidom(T_a)
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 177.99/178.13 => 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))) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 177.99/178.13 ! [V_m,V_a,T_a] :
% 177.99/178.13 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.13 => 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) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 177.99/178.13 ! [V_a,V_m,T_a] :
% 177.99/178.13 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.13 => 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) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 177.99/178.13 ! [V_m,T_a] :
% 177.99/178.13 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.13 => 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) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_less__iff__Suc__add,axiom,
% 177.99/178.13 ! [V_n_2,V_m_2] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 177.99/178.13 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_less__add__Suc2,axiom,
% 177.99/178.13 ! [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)))) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_less__add__Suc1,axiom,
% 177.99/178.13 ! [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)))) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_less__eq__Suc__le,axiom,
% 177.99/178.13 ! [V_m_2,V_n_2] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 177.99/178.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_less__Suc__eq__le,axiom,
% 177.99/178.13 ! [V_n_2,V_m_2] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 177.99/178.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Suc__le__eq,axiom,
% 177.99/178.13 ! [V_n_2,V_m_2] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 177.99/178.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_le__imp__less__Suc,axiom,
% 177.99/178.13 ! [V_n,V_m] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Suc__leI,axiom,
% 177.99/178.13 ! [V_n,V_m] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_le__less__Suc__eq,axiom,
% 177.99/178.13 ! [V_n_2,V_m_2] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 177.99/178.13 <=> V_n_2 = V_m_2 ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Suc__le__lessD,axiom,
% 177.99/178.13 ! [V_n,V_m] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_diff__less__Suc,axiom,
% 177.99/178.13 ! [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))) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Suc__mult__less__cancel1,axiom,
% 177.99/178.13 ! [V_n_2,V_m_2,V_k_2] :
% 177.99/178.13 ( 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)))
% 177.99/178.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_mult__Suc__right,axiom,
% 177.99/178.13 ! [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)) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_mult__Suc,axiom,
% 177.99/178.13 ! [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)) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Suc__diff__le,axiom,
% 177.99/178.13 ! [V_m,V_n] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 177.99/178.13 => 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)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Suc__mult__le__cancel1,axiom,
% 177.99/178.13 ! [V_n_2,V_m_2,V_k_2] :
% 177.99/178.13 ( 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)))
% 177.99/178.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_diff__Suc__diff__eq2,axiom,
% 177.99/178.13 ! [V_m,V_j,V_k] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 177.99/178.13 => 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)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_diff__Suc__diff__eq1,axiom,
% 177.99/178.13 ! [V_m,V_j,V_k] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 177.99/178.13 => 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)) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_setprod__insert,axiom,
% 177.99/178.13 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_setprod_Oinsert,axiom,
% 177.99/178.13 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_setprod__Un__Int,axiom,
% 177.99/178.13 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.13 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_setprod_Ounion__inter,axiom,
% 177.99/178.13 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.13 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_card__insert__disjoint,axiom,
% 177.99/178.13 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.13 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_card__insert__if,axiom,
% 177.99/178.13 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.13 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) )
% 177.99/178.13 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.13 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_setprod_Oinsert__remove,axiom,
% 177.99/178.13 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_setprod_Ounion__disjoint,axiom,
% 177.99/178.13 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.13 => ( 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))
% 177.99/178.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_setprod__Un__disjoint,axiom,
% 177.99/178.13 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.13 => ( 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))
% 177.99/178.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_card__insert,axiom,
% 177.99/178.13 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_card_Oinsert,axiom,
% 177.99/178.13 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.13 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 177.99/178.13 ! [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) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Suc__eq__plus1__left,axiom,
% 177.99/178.13 ! [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) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Suc__eq__plus1,axiom,
% 177.99/178.13 ! [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)) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_setprod__Un__one,axiom,
% 177.99/178.13 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 177.99/178.13 => ( ! [B_x] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 177.99/178.13 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 177.99/178.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 177.99/178.13 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.13 => ( ! [B_x] :
% 177.99/178.13 ( 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)))
% 177.99/178.13 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 177.99/178.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fold__Un__disjoint,axiom,
% 177.99/178.13 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.13 => ( 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))
% 177.99/178.13 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) ) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_setprod__mono__one__left,axiom,
% 177.99/178.13 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 177.99/178.13 => ( ! [B_x] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 177.99/178.13 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 177.99/178.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_setprod__mono__one__right,axiom,
% 177.99/178.13 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 177.99/178.13 => ( ! [B_x] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 177.99/178.13 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 177.99/178.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fold__image__empty,axiom,
% 177.99/178.13 ! [V_z_2,V_g_2,V_f_2,T_c,T_b] : hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ).
% 177.99/178.13
% 177.99/178.13 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 177.99/178.13 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 177.99/178.13 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 177.99/178.13 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fold__image__insert,axiom,
% 177.99/178.13 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] :
% 177.99/178.13 ( class_Groups_Oab__semigroup__mult(T_c)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.13 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_a_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),V_A_2)) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_setprod_OF__eq,axiom,
% 177.99/178.13 ! [V_g_2,V_A_2,T_b,T_c] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 177.99/178.13 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2) )
% 177.99/178.13 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_setprod_Oeq__fold,axiom,
% 177.99/178.13 ! [V_g_2,V_A_2,T_b,T_c] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fold__image__Un__Int,axiom,
% 177.99/178.13 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.13 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_comm__monoid__big_OF__eq,axiom,
% 177.99/178.13 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 177.99/178.13 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 177.99/178.13 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 177.99/178.13 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) )
% 177.99/178.13 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 177.99/178.13 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fold__image__Un__one,axiom,
% 177.99/178.13 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 177.99/178.13 => ( ! [B_x] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 177.99/178.13 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 177.99/178.13 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_T_2)) ) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_convex__bound__lt,axiom,
% 177.99/178.13 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 177.99/178.13 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 177.99/178.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 177.99/178.13 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 177.99/178.13 => 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)) ) ) ) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_card__partition,axiom,
% 177.99/178.13 ! [V_k_2,V_C_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2))
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 177.99/178.13 => ( ! [B_c] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2))
% 177.99/178.13 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 )
% 177.99/178.13 => ( ! [B_c1] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2))
% 177.99/178.13 => ! [B_c2] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2))
% 177.99/178.13 => ( B_c1 != B_c2
% 177.99/178.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_c1),B_c2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 177.99/178.13 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) = hAPP(c_Finite__Set_Ocard(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)) ) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fold__image__1,axiom,
% 177.99/178.13 ! [V_f_2,V_S_2,T_b,T_c] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 177.99/178.13 => ( ! [B_x] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 177.99/178.13 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 177.99/178.13 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_card__Plus,axiom,
% 177.99/178.13 ! [V_B_2,T_c,V_A_2,T_b] :
% 177.99/178.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 177.99/178.13 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_fold__image__cong,axiom,
% 177.99/178.13 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 177.99/178.13 ( class_Groups_Oab__semigroup__mult(T_c)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( ! [B_x] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 177.99/178.13 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 177.99/178.13 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),V_z_2),V_A_2) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_inf__le__fold__inf,axiom,
% 177.99/178.13 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 177.99/178.13 ( class_Lattices_Osemilattice__inf(T_b)
% 177.99/178.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.13 => ( ! [B_x] :
% 177.99/178.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 177.99/178.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_c_2),V_A_2))) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_less__zeroE,axiom,
% 177.99/178.13 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_le0,axiom,
% 177.99/178.13 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_zero__less__Suc,axiom,
% 177.99/178.13 ! [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))) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_zero__reorient,axiom,
% 177.99/178.13 ! [V_x_2,T_b] :
% 177.99/178.13 ( class_Groups_Ozero(T_b)
% 177.99/178.13 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2
% 177.99/178.13 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_add_Ocomm__neutral,axiom,
% 177.99/178.13 ! [V_a,T_a] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__add(T_a)
% 177.99/178.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_add__0__right,axiom,
% 177.99/178.13 ! [V_a,T_a] :
% 177.99/178.13 ( class_Groups_Omonoid__add(T_a)
% 177.99/178.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_double__zero__sym,axiom,
% 177.99/178.13 ! [V_a_2,T_b] :
% 177.99/178.13 ( class_Groups_Olinordered__ab__group__add(T_b)
% 177.99/178.13 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)
% 177.99/178.13 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_add__0,axiom,
% 177.99/178.13 ! [V_a,T_a] :
% 177.99/178.13 ( class_Groups_Ocomm__monoid__add(T_a)
% 177.99/178.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_add__0__left,axiom,
% 177.99/178.13 ! [V_a,T_a] :
% 177.99/178.13 ( class_Groups_Omonoid__add(T_a)
% 177.99/178.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 177.99/178.13 ! [V_a,T_a] :
% 177.99/178.13 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 177.99/178.13 ! [V_a,T_a] :
% 177.99/178.13 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_add__0__iff,axiom,
% 177.99/178.13 ! [V_a_2,V_b_2,T_b] :
% 177.99/178.13 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 177.99/178.13 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2)
% 177.99/178.13 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_mult__zero__left,axiom,
% 177.99/178.13 ! [V_a,T_a] :
% 177.99/178.13 ( class_Rings_Omult__zero(T_a)
% 177.99/178.13 => 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) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 177.99/178.13 ! [V_a,T_a] :
% 177.99/178.13 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.13 => 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) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_mult__zero__right,axiom,
% 177.99/178.13 ! [V_a,T_a] :
% 177.99/178.13 ( class_Rings_Omult__zero(T_a)
% 177.99/178.13 => 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) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 177.99/178.13 ! [V_a,T_a] :
% 177.99/178.13 ( class_Rings_Ocomm__semiring__1(T_a)
% 177.99/178.13 => 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) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_mult__eq__0__iff,axiom,
% 177.99/178.13 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.13 ( class_Rings_Oring__no__zero__divisors(T_b)
% 177.99/178.13 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.13 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.13 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_no__zero__divisors,axiom,
% 177.99/178.13 ! [V_b,V_a,T_a] :
% 177.99/178.13 ( class_Rings_Ono__zero__divisors(T_a)
% 177.99/178.13 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.13 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.13 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_divisors__zero,axiom,
% 177.99/178.13 ! [V_b,V_a,T_a] :
% 177.99/178.13 ( class_Rings_Ono__zero__divisors(T_a)
% 177.99/178.13 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.13 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.13 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_diff__0__right,axiom,
% 177.99/178.13 ! [V_a,T_a] :
% 177.99/178.13 ( class_Groups_Ogroup__add(T_a)
% 177.99/178.13 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_diff__self,axiom,
% 177.99/178.13 ! [V_a,T_a] :
% 177.99/178.13 ( class_Groups_Ogroup__add(T_a)
% 177.99/178.13 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_eq__iff__diff__eq__0,axiom,
% 177.99/178.13 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.13 ( class_Groups_Oab__group__add(T_b)
% 177.99/178.13 => ( V_a_2 = V_b_2
% 177.99/178.13 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_right__minus__eq,axiom,
% 177.99/178.13 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.13 ( class_Groups_Ogroup__add(T_b)
% 177.99/178.13 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.13 <=> V_a_2 = V_b_2 ) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_zero__neq__one,axiom,
% 177.99/178.13 ! [T_a] :
% 177.99/178.13 ( class_Rings_Ozero__neq__one(T_a)
% 177.99/178.13 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_one__neq__zero,axiom,
% 177.99/178.13 ! [T_a] :
% 177.99/178.13 ( class_Rings_Ozero__neq__one(T_a)
% 177.99/178.13 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Suc__neq__Zero,axiom,
% 177.99/178.13 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Zero__neq__Suc,axiom,
% 177.99/178.13 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_nat_Osimps_I3_J,axiom,
% 177.99/178.13 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_Suc__not__Zero,axiom,
% 177.99/178.13 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 177.99/178.13
% 177.99/178.13 fof(fact_nat_Osimps_I2_J,axiom,
% 177.99/178.13 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 177.99/178.13
% 177.99/178.14 fof(fact_Zero__not__Suc,axiom,
% 177.99/178.14 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_not__less0,axiom,
% 177.99/178.14 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_neq0__conv,axiom,
% 177.99/178.14 ! [V_n_2] :
% 177.99/178.14 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 177.99/178.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_less__nat__zero__code,axiom,
% 177.99/178.14 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_gr__implies__not0,axiom,
% 177.99/178.14 ! [V_n,V_m] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 177.99/178.14 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_gr0I,axiom,
% 177.99/178.14 ! [V_n] :
% 177.99/178.14 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_add__eq__self__zero,axiom,
% 177.99/178.14 ! [V_n,V_m] :
% 177.99/178.14 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 177.99/178.14 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_add__is__0,axiom,
% 177.99/178.14 ! [V_n_2,V_m_2] :
% 177.99/178.14 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 177.99/178.14 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 177.99/178.14 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_Nat_Oadd__0__right,axiom,
% 177.99/178.14 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 177.99/178.14
% 177.99/178.14 fof(fact_plus__nat_Oadd__0,axiom,
% 177.99/178.14 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 177.99/178.14
% 177.99/178.14 fof(fact_le__0__eq,axiom,
% 177.99/178.14 ! [V_n_2] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 177.99/178.14 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 177.99/178.14 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_diff__0__eq__0,axiom,
% 177.99/178.14 ! [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) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_minus__nat_Odiff__0,axiom,
% 177.99/178.14 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 177.99/178.14
% 177.99/178.14 fof(fact_diff__self__eq__0,axiom,
% 177.99/178.14 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_diffs0__imp__equal,axiom,
% 177.99/178.14 ! [V_n,V_m] :
% 177.99/178.14 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 177.99/178.14 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 177.99/178.14 => V_m = V_n ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 177.99/178.14 ! [V_n_2,V_m_2,V_k_2] :
% 177.99/178.14 ( 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)
% 177.99/178.14 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 177.99/178.14 | V_m_2 = V_n_2 ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__0,axiom,
% 177.99/178.14 ! [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) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__0__right,axiom,
% 177.99/178.14 ! [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) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__is__0,axiom,
% 177.99/178.14 ! [V_n_2,V_m_2] :
% 177.99/178.14 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 177.99/178.14 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 177.99/178.14 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__cancel1,axiom,
% 177.99/178.14 ! [V_n_2,V_m_2,V_k_2] :
% 177.99/178.14 ( 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)
% 177.99/178.14 <=> ( V_m_2 = V_n_2
% 177.99/178.14 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__cancel2,axiom,
% 177.99/178.14 ! [V_n_2,V_k_2,V_m_2] :
% 177.99/178.14 ( 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)
% 177.99/178.14 <=> ( V_m_2 = V_n_2
% 177.99/178.14 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_finite__PlusD_I2_J,axiom,
% 177.99/178.14 ! [V_B_2,V_A_2,T_c,T_b] :
% 177.99/178.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)))
% 177.99/178.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_finite__PlusD_I1_J,axiom,
% 177.99/178.14 ! [V_B_2,V_A_2,T_c,T_b] :
% 177.99/178.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)))
% 177.99/178.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_finite__Plus,axiom,
% 177.99/178.14 ! [V_B_2,T_c,V_A_2,T_b] :
% 177.99/178.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 177.99/178.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_finite__Plus__iff,axiom,
% 177.99/178.14 ! [V_B_2,V_A_2,T_c,T_b] :
% 177.99/178.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)))
% 177.99/178.14 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.14 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_card__Plus__conv__if,axiom,
% 177.99/178.14 ! [V_B_2,T_c,V_A_2,T_b] :
% 177.99/178.14 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.14 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 177.99/178.14 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) )
% 177.99/178.14 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.14 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 177.99/178.14 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 177.99/178.14 ! [V_a_2,T_b] :
% 177.99/178.14 ( class_Groups_Olinordered__ab__group__add(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)))
% 177.99/178.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 177.99/178.14 ! [V_a_2,T_b] :
% 177.99/178.14 ( class_Groups_Olinordered__ab__group__add(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_add__nonneg__nonneg,axiom,
% 177.99/178.14 ! [V_b,V_a,T_a] :
% 177.99/178.14 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_add__nonneg__eq__0__iff,axiom,
% 177.99/178.14 ! [V_y_2,V_x_2,T_b] :
% 177.99/178.14 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2))
% 177.99/178.14 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.14 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.14 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_add__increasing,axiom,
% 177.99/178.14 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.14 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_add__increasing2,axiom,
% 177.99/178.14 ! [V_a,V_b,V_c,T_a] :
% 177.99/178.14 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_add__nonpos__nonpos,axiom,
% 177.99/178.14 ! [V_b,V_a,T_a] :
% 177.99/178.14 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_split__mult__neg__le,axiom,
% 177.99/178.14 ! [V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Oordered__cancel__semiring(T_a)
% 177.99/178.14 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 177.99/178.14 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 177.99/178.14 => 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))) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_split__mult__pos__le,axiom,
% 177.99/178.14 ! [V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Oordered__ring(T_a)
% 177.99/178.14 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 177.99/178.14 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 177.99/178.14 => 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))) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__mono,axiom,
% 177.99/178.14 ! [V_d,V_c,V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Oordered__semiring(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 177.99/178.14 => 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))) ) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__mono_H,axiom,
% 177.99/178.14 ! [V_d,V_c,V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Oordered__semiring(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 177.99/178.14 => 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))) ) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__left__mono__neg,axiom,
% 177.99/178.14 ! [V_c,V_a,V_b,T_a] :
% 177.99/178.14 ( class_Rings_Oordered__ring(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__right__mono__neg,axiom,
% 177.99/178.14 ! [V_c,V_a,V_b,T_a] :
% 177.99/178.14 ( class_Rings_Oordered__ring(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_comm__mult__left__mono,axiom,
% 177.99/178.14 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Oordered__comm__semiring(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__left__mono,axiom,
% 177.99/178.14 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Oordered__semiring(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__right__mono,axiom,
% 177.99/178.14 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Oordered__semiring(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__nonpos__nonpos,axiom,
% 177.99/178.14 ! [V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Oordered__ring(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__nonpos__nonneg,axiom,
% 177.99/178.14 ! [V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Oordered__cancel__semiring(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__nonneg__nonpos2,axiom,
% 177.99/178.14 ! [V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Oordered__cancel__semiring(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__nonneg__nonpos,axiom,
% 177.99/178.14 ! [V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Oordered__cancel__semiring(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__nonneg__nonneg,axiom,
% 177.99/178.14 ! [V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Oordered__cancel__semiring(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__le__0__iff,axiom,
% 177.99/178.14 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.14 ( class_Rings_Olinordered__ring__strict(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 177.99/178.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 177.99/178.14 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_zero__le__mult__iff,axiom,
% 177.99/178.14 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.14 ( class_Rings_Olinordered__ring__strict(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)))
% 177.99/178.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 177.99/178.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 177.99/178.14 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_zero__le__square,axiom,
% 177.99/178.14 ! [V_a,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__ring(T_a)
% 177.99/178.14 => 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))) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 177.99/178.14 ! [V_a_2,T_b] :
% 177.99/178.14 ( class_Groups_Olinordered__ab__group__add(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)))
% 177.99/178.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 177.99/178.14 ! [V_a_2,T_b] :
% 177.99/178.14 ( class_Groups_Olinordered__ab__group__add(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_add__pos__pos,axiom,
% 177.99/178.14 ! [V_b,V_a,T_a] :
% 177.99/178.14 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_add__neg__neg,axiom,
% 177.99/178.14 ! [V_b,V_a,T_a] :
% 177.99/178.14 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_pos__add__strict,axiom,
% 177.99/178.14 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semidom(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_not__square__less__zero,axiom,
% 177.99/178.14 ! [V_a,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__ring(T_a)
% 177.99/178.14 => ~ 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))) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__less__cancel__right__disj,axiom,
% 177.99/178.14 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 177.99/178.14 ( class_Rings_Olinordered__ring__strict(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2)))
% 177.99/178.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 177.99/178.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 177.99/178.14 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__less__cancel__left__disj,axiom,
% 177.99/178.14 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 177.99/178.14 ( class_Rings_Olinordered__ring__strict(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 177.99/178.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 177.99/178.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 177.99/178.14 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__less__cancel__left__pos,axiom,
% 177.99/178.14 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 177.99/178.14 ( class_Rings_Olinordered__ring__strict(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 177.99/178.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__pos__pos,axiom,
% 177.99/178.14 ! [V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semiring__strict(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__pos__neg,axiom,
% 177.99/178.14 ! [V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semiring__strict(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__pos__neg2,axiom,
% 177.99/178.14 ! [V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semiring__strict(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_zero__less__mult__pos,axiom,
% 177.99/178.14 ! [V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semiring__strict(T_a)
% 177.99/178.14 => ( 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)))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_zero__less__mult__pos2,axiom,
% 177.99/178.14 ! [V_a,V_b,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semiring__strict(T_a)
% 177.99/178.14 => ( 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)))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__less__cancel__left__neg,axiom,
% 177.99/178.14 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 177.99/178.14 ( class_Rings_Olinordered__ring__strict(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 177.99/178.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__neg__pos,axiom,
% 177.99/178.14 ! [V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semiring__strict(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__neg__neg,axiom,
% 177.99/178.14 ! [V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__ring__strict(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__strict__right__mono,axiom,
% 177.99/178.14 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semiring__strict(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__strict__left__mono,axiom,
% 177.99/178.14 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semiring__strict(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_comm__mult__strict__left__mono,axiom,
% 177.99/178.14 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__strict__right__mono__neg,axiom,
% 177.99/178.14 ! [V_c,V_a,V_b,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__ring__strict(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__strict__left__mono__neg,axiom,
% 177.99/178.14 ! [V_c,V_a,V_b,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__ring__strict(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_le__iff__diff__le__0,axiom,
% 177.99/178.14 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 177.99/178.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_less__iff__diff__less__0,axiom,
% 177.99/178.14 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 177.99/178.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_add__scale__eq__noteq,axiom,
% 177.99/178.14 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 177.99/178.14 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 177.99/178.14 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.14 => ( ( V_a = V_b
% 177.99/178.14 & V_c != V_d )
% 177.99/178.14 => 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)) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_sum__squares__eq__zero__iff,axiom,
% 177.99/178.14 ! [V_y_2,V_x_2,T_b] :
% 177.99/178.14 ( class_Rings_Olinordered__ring__strict(T_b)
% 177.99/178.14 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.14 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.14 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_zero__le__one,axiom,
% 177.99/178.14 ! [T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semidom(T_a)
% 177.99/178.14 => 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))) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_not__one__le__zero,axiom,
% 177.99/178.14 ! [T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semidom(T_a)
% 177.99/178.14 => ~ 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))) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_not__one__less__zero,axiom,
% 177.99/178.14 ! [T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semidom(T_a)
% 177.99/178.14 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_zero__less__one,axiom,
% 177.99/178.14 ! [T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semidom(T_a)
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_setsum__empty,axiom,
% 177.99/178.14 ! [V_f_2,T_c,T_b] :
% 177.99/178.14 ( class_Groups_Ocomm__monoid__add(T_b)
% 177.99/178.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_setsum_Oempty,axiom,
% 177.99/178.14 ! [V_g_2,T_c,T_b] :
% 177.99/178.14 ( class_Groups_Ocomm__monoid__add(T_b)
% 177.99/178.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_setsum_Oinfinite,axiom,
% 177.99/178.14 ! [V_g_2,V_A_2,T_b,T_c] :
% 177.99/178.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 177.99/178.14 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_setsum__infinite,axiom,
% 177.99/178.14 ! [V_f_2,V_A_2,T_b,T_c] :
% 177.99/178.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 177.99/178.14 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_setprod__zero__iff,axiom,
% 177.99/178.14 ! [V_f_2,V_A_2,T_b,T_c] :
% 177.99/178.14 ( ( class_Rings_Ocomm__semiring__1(T_c)
% 177.99/178.14 & class_Rings_Ono__zero__divisors(T_c) )
% 177.99/178.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.14 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c)
% 177.99/178.14 <=> ? [B_x] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 177.99/178.14 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_setprod__zero,axiom,
% 177.99/178.14 ! [V_f_2,V_A_2,T_b,T_c] :
% 177.99/178.14 ( class_Rings_Ocomm__semiring__1(T_c)
% 177.99/178.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.14 => ( ? [B_x] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 177.99/178.14 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 177.99/178.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_less__Suc__eq__0__disj,axiom,
% 177.99/178.14 ! [V_n_2,V_m_2] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 177.99/178.14 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 177.99/178.14 | ? [B_j] :
% 177.99/178.14 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 177.99/178.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_less__Suc0,axiom,
% 177.99/178.14 ! [V_n_2] :
% 177.99/178.14 ( 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))))
% 177.99/178.14 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_gr0__conv__Suc,axiom,
% 177.99/178.14 ! [V_n_2] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 177.99/178.14 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_add__is__1,axiom,
% 177.99/178.14 ! [V_n_2,V_m_2] :
% 177.99/178.14 ( 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))
% 177.99/178.14 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 177.99/178.14 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 177.99/178.14 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 177.99/178.14 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_one__is__add,axiom,
% 177.99/178.14 ! [V_n_2,V_m_2] :
% 177.99/178.14 ( 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)
% 177.99/178.14 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 177.99/178.14 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 177.99/178.14 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 177.99/178.14 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_add__gr__0,axiom,
% 177.99/178.14 ! [V_n_2,V_m_2] :
% 177.99/178.14 ( 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)))
% 177.99/178.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 177.99/178.14 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_card_Oempty,axiom,
% 177.99/178.14 ! [T_b] : hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_card__infinite,axiom,
% 177.99/178.14 ! [V_A_2,T_b] :
% 177.99/178.14 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.14 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__eq__1__iff,axiom,
% 177.99/178.14 ! [V_n_2,V_m_2] :
% 177.99/178.14 ( 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))
% 177.99/178.14 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 177.99/178.14 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_zero__less__diff,axiom,
% 177.99/178.14 ! [V_m_2,V_n_2] :
% 177.99/178.14 ( 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)))
% 177.99/178.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_diff__less,axiom,
% 177.99/178.14 ! [V_m,V_n] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 177.99/178.14 => 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)) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__less__mono2,axiom,
% 177.99/178.14 ! [V_k,V_j,V_i] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 177.99/178.14 => 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))) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__less__mono1,axiom,
% 177.99/178.14 ! [V_k,V_j,V_i] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 177.99/178.14 => 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))) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__less__cancel2,axiom,
% 177.99/178.14 ! [V_n_2,V_k_2,V_m_2] :
% 177.99/178.14 ( 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)))
% 177.99/178.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 177.99/178.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__less__cancel1,axiom,
% 177.99/178.14 ! [V_n_2,V_m_2,V_k_2] :
% 177.99/178.14 ( 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)))
% 177.99/178.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 177.99/178.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_nat__0__less__mult__iff,axiom,
% 177.99/178.14 ! [V_n_2,V_m_2] :
% 177.99/178.14 ( 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)))
% 177.99/178.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 177.99/178.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_nat__mult__less__cancel1,axiom,
% 177.99/178.14 ! [V_n_2,V_m_2,V_k_2] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 177.99/178.14 => ( 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)))
% 177.99/178.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_nat__mult__eq__cancel1,axiom,
% 177.99/178.14 ! [V_n_2,V_m_2,V_k_2] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 177.99/178.14 => ( 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)
% 177.99/178.14 <=> V_m_2 = V_n_2 ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_diff__add__0,axiom,
% 177.99/178.14 ! [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) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_diff__is__0__eq_H,axiom,
% 177.99/178.14 ! [V_n,V_m] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 177.99/178.14 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_diff__is__0__eq,axiom,
% 177.99/178.14 ! [V_n_2,V_m_2] :
% 177.99/178.14 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 177.99/178.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_One__nat__def,axiom,
% 177.99/178.14 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__eq__self__implies__10,axiom,
% 177.99/178.14 ! [V_n,V_m] :
% 177.99/178.14 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 177.99/178.14 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 177.99/178.14 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_setsum__eq__0__iff,axiom,
% 177.99/178.14 ! [V_f_2,V_F_2,T_b] :
% 177.99/178.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 177.99/178.14 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 177.99/178.14 <=> ! [B_x] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 177.99/178.14 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_add__pos__nonneg,axiom,
% 177.99/178.14 ! [V_b,V_a,T_a] :
% 177.99/178.14 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_add__nonneg__pos,axiom,
% 177.99/178.14 ! [V_b,V_a,T_a] :
% 177.99/178.14 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_add__strict__increasing,axiom,
% 177.99/178.14 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.14 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_add__strict__increasing2,axiom,
% 177.99/178.14 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.14 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_add__neg__nonpos,axiom,
% 177.99/178.14 ! [V_b,V_a,T_a] :
% 177.99/178.14 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_add__nonpos__neg,axiom,
% 177.99/178.14 ! [V_b,V_a,T_a] :
% 177.99/178.14 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__le__cancel__left__pos,axiom,
% 177.99/178.14 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 177.99/178.14 ( class_Rings_Olinordered__ring__strict(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 177.99/178.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__le__cancel__left__neg,axiom,
% 177.99/178.14 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 177.99/178.14 ( class_Rings_Olinordered__ring__strict(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 177.99/178.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__strict__mono,axiom,
% 177.99/178.14 ! [V_d,V_c,V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semiring__strict(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 177.99/178.14 => 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))) ) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__strict__mono_H,axiom,
% 177.99/178.14 ! [V_d,V_c,V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semiring__strict(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 177.99/178.14 => 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))) ) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__less__le__imp__less,axiom,
% 177.99/178.14 ! [V_d,V_c,V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semiring__strict(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 177.99/178.14 => 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))) ) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__le__less__imp__less,axiom,
% 177.99/178.14 ! [V_d,V_c,V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semiring__strict(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 177.99/178.14 => 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))) ) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__right__less__imp__less,axiom,
% 177.99/178.14 ! [V_b,V_c,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semiring(T_a)
% 177.99/178.14 => ( 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)))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__less__imp__less__right,axiom,
% 177.99/178.14 ! [V_b,V_c,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semiring__strict(T_a)
% 177.99/178.14 => ( 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)))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__left__less__imp__less,axiom,
% 177.99/178.14 ! [V_b,V_a,V_c,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semiring(T_a)
% 177.99/178.14 => ( 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)))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__less__imp__less__left,axiom,
% 177.99/178.14 ! [V_b,V_a,V_c,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semiring__strict(T_a)
% 177.99/178.14 => ( 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)))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__right__le__imp__le,axiom,
% 177.99/178.14 ! [V_b,V_c,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semiring__strict(T_a)
% 177.99/178.14 => ( 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)))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__left__le__imp__le,axiom,
% 177.99/178.14 ! [V_b,V_a,V_c,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semiring__strict(T_a)
% 177.99/178.14 => ( 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)))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_sum__squares__le__zero__iff,axiom,
% 177.99/178.14 ! [V_y_2,V_x_2,T_b] :
% 177.99/178.14 ( class_Rings_Olinordered__ring__strict(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2))),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.14 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.14 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_sum__squares__ge__zero,axiom,
% 177.99/178.14 ! [V_y,V_x,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__ring(T_a)
% 177.99/178.14 => 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)))) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_not__sum__squares__lt__zero,axiom,
% 177.99/178.14 ! [V_y,V_x,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__ring(T_a)
% 177.99/178.14 => ~ 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))) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_sum__squares__gt__zero__iff,axiom,
% 177.99/178.14 ! [V_y_2,V_x_2,T_b] :
% 177.99/178.14 ( class_Rings_Olinordered__ring__strict(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2))))
% 177.99/178.14 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.14 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__left__le__one__le,axiom,
% 177.99/178.14 ! [V_y,V_x,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__idom(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 177.99/178.14 => 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)) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__right__le__one__le,axiom,
% 177.99/178.14 ! [V_y,V_x,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__idom(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 177.99/178.14 => 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)) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_zero__less__two,axiom,
% 177.99/178.14 ! [T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semidom(T_a)
% 177.99/178.14 => 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)))) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_card__eq__0__iff,axiom,
% 177.99/178.14 ! [V_A_2,T_b] :
% 177.99/178.14 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 177.99/178.14 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.14 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_card__ge__0__finite,axiom,
% 177.99/178.14 ! [V_A_2,T_b] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 177.99/178.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_diff__Suc__less,axiom,
% 177.99/178.14 ! [V_i,V_n] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 177.99/178.14 => 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)) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_Suc__pred,axiom,
% 177.99/178.14 ! [V_n] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 177.99/178.14 => 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 ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_n__less__m__mult__n,axiom,
% 177.99/178.14 ! [V_m,V_n] :
% 177.99/178.14 ( 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))
% 177.99/178.14 => ( 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))
% 177.99/178.14 => 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))) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_n__less__n__mult__m,axiom,
% 177.99/178.14 ! [V_m,V_n] :
% 177.99/178.14 ( 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))
% 177.99/178.14 => ( 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))
% 177.99/178.14 => 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))) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_one__less__mult,axiom,
% 177.99/178.14 ! [V_m,V_n] :
% 177.99/178.14 ( 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))
% 177.99/178.14 => ( 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))
% 177.99/178.14 => 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))) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_nat__diff__split__asm,axiom,
% 177.99/178.14 ! [V_b_2,V_a_2,V_Pa_2] :
% 177.99/178.14 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 177.99/178.14 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 177.99/178.14 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 177.99/178.14 | ? [B_d] :
% 177.99/178.14 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 177.99/178.14 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_nat__diff__split,axiom,
% 177.99/178.14 ! [V_b_2,V_a_2,V_Pa_2] :
% 177.99/178.14 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 177.99/178.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 177.99/178.14 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 177.99/178.14 & ! [B_d] :
% 177.99/178.14 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 177.99/178.14 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_one__le__mult__iff,axiom,
% 177.99/178.14 ! [V_n_2,V_m_2] :
% 177.99/178.14 ( 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)))
% 177.99/178.14 <=> ( 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))
% 177.99/178.14 & 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)) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__le__cancel2,axiom,
% 177.99/178.14 ! [V_n_2,V_k_2,V_m_2] :
% 177.99/178.14 ( 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)))
% 177.99/178.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__le__cancel1,axiom,
% 177.99/178.14 ! [V_n_2,V_m_2,V_k_2] :
% 177.99/178.14 ( 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)))
% 177.99/178.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_nat__mult__le__cancel1,axiom,
% 177.99/178.14 ! [V_n_2,V_m_2,V_k_2] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 177.99/178.14 => ( 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)))
% 177.99/178.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_setsum__eq__Suc0__iff,axiom,
% 177.99/178.14 ! [V_f_2,V_A_2,T_b] :
% 177.99/178.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.14 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 177.99/178.14 <=> ? [B_x] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 177.99/178.14 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 177.99/178.14 & ! [B_xa] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 177.99/178.14 => ( B_x != B_xa
% 177.99/178.14 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_setsum__eq__1__iff,axiom,
% 177.99/178.14 ! [V_f_2,V_A_2,T_b] :
% 177.99/178.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.14 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 177.99/178.14 <=> ? [B_x] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 177.99/178.14 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 177.99/178.14 & ! [B_xa] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 177.99/178.14 => ( B_x != B_xa
% 177.99/178.14 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_setprod__pos__nat__iff,axiom,
% 177.99/178.14 ! [V_f_2,V_S_2,T_b] :
% 177.99/178.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2)))
% 177.99/178.14 <=> ! [B_x] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 177.99/178.14 => 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))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_convex__bound__le,axiom,
% 177.99/178.14 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 177.99/178.14 ( class_Rings_Olinordered__semiring__1(T_a)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 177.99/178.14 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 177.99/178.14 => 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)) ) ) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_card__gt__0__iff,axiom,
% 177.99/178.14 ! [V_A_2,T_b] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 177.99/178.14 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.14 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_setsum_Oeq__fold,axiom,
% 177.99/178.14 ! [V_g_2,V_A_2,T_b,T_c] :
% 177.99/178.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 177.99/178.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_setsum_OF__eq,axiom,
% 177.99/178.14 ! [V_g_2,V_A_2,T_b,T_c] :
% 177.99/178.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 177.99/178.14 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) )
% 177.99/178.14 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_Suc__diff__1,axiom,
% 177.99/178.14 ! [V_n] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 177.99/178.14 => 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 ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_Suc__pred_H,axiom,
% 177.99/178.14 ! [V_n] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 177.99/178.14 => 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))) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_add__eq__if,axiom,
% 177.99/178.14 ! [V_n,V_m] :
% 177.99/178.14 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 177.99/178.14 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 177.99/178.14 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 177.99/178.14 => 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)) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_mult__eq__if,axiom,
% 177.99/178.14 ! [V_n,V_m] :
% 177.99/178.14 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 177.99/178.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 177.99/178.14 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 177.99/178.14 => 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)) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 177.99/178.14 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 177.99/178.14 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 177.99/178.14 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 177.99/178.14 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_even__less__0__iff,axiom,
% 177.99/178.14 ! [V_a_2,T_b] :
% 177.99/178.14 ( class_Rings_Olinordered__idom(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_setsum__mono2,axiom,
% 177.99/178.14 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 177.99/178.14 ( class_Groups_Oordered__comm__monoid__add(T_c)
% 177.99/178.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.14 => ( ! [B_b] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)))
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) )
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_triple_Osize_I1_J,axiom,
% 177.99/178.14 ! [V_fun2_2,V_com_2,V_fun1_2,V_fa_2,T_b] : c_Hoare__Mirabelle_Otriple_Otriple__size(T_b,V_fa_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_Plus__eq__empty__conv,axiom,
% 177.99/178.14 ! [V_B_2,V_A_2,T_c,T_b] :
% 177.99/178.14 ( c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool))
% 177.99/178.14 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.14 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_card_Ounion__inter__neutral,axiom,
% 177.99/178.14 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.14 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 177.99/178.14 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 177.99/178.14 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_setsum__Un__zero,axiom,
% 177.99/178.14 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 177.99/178.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 177.99/178.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 177.99/178.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 177.99/178.14 => ( ! [B_x] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 177.99/178.14 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 177.99/178.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 177.99/178.14 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 177.99/178.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 177.99/178.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.14 => ( ! [B_x] :
% 177.99/178.14 ( 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)))
% 177.99/178.14 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 177.99/178.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_setsum__mono3,axiom,
% 177.99/178.14 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 177.99/178.14 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 177.99/178.14 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 177.99/178.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.14 => ( ! [B_x] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)))
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_bot__nat__def,axiom,
% 177.99/178.14 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_double__eq__0__iff,axiom,
% 177.99/178.14 ! [V_a_2,T_b] :
% 177.99/178.14 ( class_Groups_Olinordered__ab__group__add(T_b)
% 177.99/178.14 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.14 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_triple_Osize_I2_J,axiom,
% 177.99/178.14 ! [V_fun2_2,V_com_2,V_fun1_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_card__Suc__eq,axiom,
% 177.99/178.14 ! [V_k_2,V_A_2,T_b] :
% 177.99/178.14 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 177.99/178.14 <=> ? [B_b,B_B] :
% 177.99/178.14 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B)
% 177.99/178.14 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B))
% 177.99/178.14 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2
% 177.99/178.14 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 177.99/178.14 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_Ints__odd__less__0,axiom,
% 177.99/178.14 ! [V_a_2,T_b] :
% 177.99/178.14 ( class_Rings_Olinordered__idom(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_com_Osize_I4_J,axiom,
% 177.99/178.14 ! [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))) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_com_Osize_I12_J,axiom,
% 177.99/178.14 ! [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))) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_setprod__diff1,axiom,
% 177.99/178.14 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] :
% 177.99/178.14 ( class_Fields_Ofield(T_c)
% 177.99/178.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.14 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c)
% 177.99/178.14 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 177.99/178.14 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) ) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_ex__least__nat__less,axiom,
% 177.99/178.14 ! [V_n_2,V_Pa_2] :
% 177.99/178.14 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 177.99/178.14 => ( hBOOL(hAPP(V_Pa_2,V_n_2))
% 177.99/178.14 => ? [B_k] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2))
% 177.99/178.14 & ! [B_i] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 177.99/178.14 => ~ hBOOL(hAPP(V_Pa_2,B_i)) )
% 177.99/178.14 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_k),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_setsum__mono__zero__right,axiom,
% 177.99/178.14 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 177.99/178.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 177.99/178.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 177.99/178.14 => ( ! [B_x] :
% 177.99/178.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 177.99/178.14 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 177.99/178.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_divide__zero,axiom,
% 177.99/178.14 ! [V_a,T_a] :
% 177.99/178.14 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 177.99/178.14 => 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) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_divide__zero__left,axiom,
% 177.99/178.14 ! [V_a,T_a] :
% 177.99/178.14 ( class_Rings_Odivision__ring(T_a)
% 177.99/178.14 => 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) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_add__divide__distrib,axiom,
% 177.99/178.14 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Odivision__ring(T_a)
% 177.99/178.14 => 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)) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_times__divide__eq__right,axiom,
% 177.99/178.14 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Odivision__ring(T_a)
% 177.99/178.14 => 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) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_diff__divide__distrib,axiom,
% 177.99/178.14 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.14 ( class_Rings_Odivision__ring(T_a)
% 177.99/178.14 => 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)) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_divide__1,axiom,
% 177.99/178.14 ! [V_a,T_a] :
% 177.99/178.14 ( class_Rings_Odivision__ring(T_a)
% 177.99/178.14 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_eq__divide__imp,axiom,
% 177.99/178.14 ! [V_b,V_a,V_c,T_a] :
% 177.99/178.14 ( class_Rings_Odivision__ring(T_a)
% 177.99/178.14 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.14 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 177.99/178.14 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_divide__eq__imp,axiom,
% 177.99/178.14 ! [V_a,V_b,V_c,T_a] :
% 177.99/178.14 ( class_Rings_Odivision__ring(T_a)
% 177.99/178.14 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.14 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 177.99/178.14 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_nonzero__divide__eq__eq,axiom,
% 177.99/178.14 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 177.99/178.14 ( class_Rings_Odivision__ring(T_b)
% 177.99/178.14 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.14 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 177.99/178.14 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_nonzero__eq__divide__eq,axiom,
% 177.99/178.14 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 177.99/178.14 ( class_Rings_Odivision__ring(T_b)
% 177.99/178.14 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.14 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 177.99/178.14 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_right__inverse__eq,axiom,
% 177.99/178.14 ! [V_a_2,V_b_2,T_b] :
% 177.99/178.14 ( class_Rings_Odivision__ring(T_b)
% 177.99/178.14 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.14 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b)
% 177.99/178.14 <=> V_a_2 = V_b_2 ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_divide__self,axiom,
% 177.99/178.14 ! [V_a,T_a] :
% 177.99/178.14 ( class_Rings_Odivision__ring(T_a)
% 177.99/178.14 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.14 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_divide__self__if,axiom,
% 177.99/178.14 ! [V_a,T_a] :
% 177.99/178.14 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 177.99/178.14 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.14 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 177.99/178.14 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.14 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_Ints__0,axiom,
% 177.99/178.14 ! [T_b] :
% 177.99/178.14 ( class_Rings_Oring__1(T_b)
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_Ints__add,axiom,
% 177.99/178.14 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.14 ( class_Rings_Oring__1(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_Ints__mult,axiom,
% 177.99/178.14 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.14 ( class_Rings_Oring__1(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_Ints__diff,axiom,
% 177.99/178.14 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.14 ( class_Rings_Oring__1(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_Ints__1,axiom,
% 177.99/178.14 ! [T_b] :
% 177.99/178.14 ( class_Rings_Oring__1(T_b)
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_com_Osize_I9_J,axiom,
% 177.99/178.14 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_com_Osize_I1_J,axiom,
% 177.99/178.14 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_Ints__double__eq__0__iff,axiom,
% 177.99/178.14 ! [V_a_2,T_b] :
% 177.99/178.14 ( class_Int_Oring__char__0(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 177.99/178.14 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.14 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_Ints__odd__nonzero,axiom,
% 177.99/178.14 ! [V_a_2,T_b] :
% 177.99/178.14 ( class_Int_Oring__char__0(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 177.99/178.14 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)),V_a_2) != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_le__divide__eq,axiom,
% 177.99/178.14 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 177.99/178.14 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 177.99/178.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 177.99/178.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 177.99/178.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 177.99/178.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_divide__le__eq,axiom,
% 177.99/178.14 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 177.99/178.14 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 177.99/178.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 177.99/178.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 177.99/178.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 177.99/178.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 177.99/178.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 177.99/178.14
% 177.99/178.14 fof(fact_pos__le__divide__eq,axiom,
% 177.99/178.15 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 177.99/178.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_pos__divide__le__eq,axiom,
% 177.99/178.15 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 177.99/178.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_mult__imp__div__pos__le,axiom,
% 177.99/178.15 ! [V_z,V_x,V_y,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 177.99/178.15 => ( 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)))
% 177.99/178.15 => 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)) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_mult__imp__le__div__pos,axiom,
% 177.99/178.15 ! [V_x,V_z,V_y,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 177.99/178.15 => ( 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))
% 177.99/178.15 => 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))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_neg__le__divide__eq,axiom,
% 177.99/178.15 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 177.99/178.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_neg__divide__le__eq,axiom,
% 177.99/178.15 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 177.99/178.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_times__divide__times__eq,axiom,
% 177.99/178.15 ! [V_w,V_z,V_y,V_x,T_a] :
% 177.99/178.15 ( class_Fields_Ofield__inverse__zero(T_a)
% 177.99/178.15 => 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)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__right__mono__neg,axiom,
% 177.99/178.15 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.15 => 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))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__right__mono,axiom,
% 177.99/178.15 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 177.99/178.15 => 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))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__le__0__iff,axiom,
% 177.99/178.15 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.15 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 177.99/178.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 177.99/178.15 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zero__le__divide__iff,axiom,
% 177.99/178.15 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.15 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)))
% 177.99/178.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 177.99/178.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 177.99/178.15 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zero__less__divide__iff,axiom,
% 177.99/178.15 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.15 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)))
% 177.99/178.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 177.99/178.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 177.99/178.15 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__less__0__iff,axiom,
% 177.99/178.15 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.15 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 177.99/178.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 177.99/178.15 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__pos__pos,axiom,
% 177.99/178.15 ! [V_y,V_x,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 177.99/178.15 => 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))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__pos__neg,axiom,
% 177.99/178.15 ! [V_y,V_x,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.15 => 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))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__neg__pos,axiom,
% 177.99/178.15 ! [V_y,V_x,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 177.99/178.15 => 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))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__neg__neg,axiom,
% 177.99/178.15 ! [V_y,V_x,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.15 => 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))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__strict__right__mono,axiom,
% 177.99/178.15 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 177.99/178.15 => 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))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__strict__right__mono__neg,axiom,
% 177.99/178.15 ! [V_c,V_a,V_b,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.15 => 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))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_frac__eq__eq,axiom,
% 177.99/178.15 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] :
% 177.99/178.15 ( class_Fields_Ofield(T_b)
% 177.99/178.15 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.15 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.15 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_x_2),V_y_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_w_2),V_z_2)
% 177.99/178.15 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_z_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_y_2) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_mult__divide__mult__cancel__left,axiom,
% 177.99/178.15 ! [V_b,V_a,V_c,T_a] :
% 177.99/178.15 ( class_Fields_Ofield__inverse__zero(T_a)
% 177.99/178.15 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.15 => 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) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_mult__divide__mult__cancel__right,axiom,
% 177.99/178.15 ! [V_b,V_a,V_c,T_a] :
% 177.99/178.15 ( class_Fields_Ofield__inverse__zero(T_a)
% 177.99/178.15 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.15 => 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) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__eq__eq,axiom,
% 177.99/178.15 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 177.99/178.15 ( class_Fields_Ofield__inverse__zero(T_b)
% 177.99/178.15 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 177.99/178.15 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.15 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) )
% 177.99/178.15 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.15 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_eq__divide__eq,axiom,
% 177.99/178.15 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 177.99/178.15 ( class_Fields_Ofield__inverse__zero(T_b)
% 177.99/178.15 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 177.99/178.15 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.15 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 )
% 177.99/178.15 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.15 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__nonneg__pos,axiom,
% 177.99/178.15 ! [V_y,V_x,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 177.99/178.15 => 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))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__nonneg__neg,axiom,
% 177.99/178.15 ! [V_y,V_x,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.15 => 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))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_frac__less2,axiom,
% 177.99/178.15 ! [V_z,V_w,V_y,V_x,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 177.99/178.15 => 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))) ) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_frac__less,axiom,
% 177.99/178.15 ! [V_z,V_w,V_y,V_x,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 177.99/178.15 => 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))) ) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_frac__le,axiom,
% 177.99/178.15 ! [V_z,V_w,V_y,V_x,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 177.99/178.15 => 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))) ) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__nonpos__pos,axiom,
% 177.99/178.15 ! [V_y,V_x,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 177.99/178.15 => 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))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__nonpos__neg,axiom,
% 177.99/178.15 ! [V_y,V_x,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.15 => 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))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__strict__left__mono__neg,axiom,
% 177.99/178.15 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.15 => ( 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)))
% 177.99/178.15 => 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))) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__strict__left__mono,axiom,
% 177.99/178.15 ! [V_c,V_a,V_b,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 177.99/178.15 => ( 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)))
% 177.99/178.15 => 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))) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_neg__divide__less__eq,axiom,
% 177.99/178.15 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 177.99/178.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_neg__less__divide__eq,axiom,
% 177.99/178.15 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 177.99/178.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_mult__imp__less__div__pos,axiom,
% 177.99/178.15 ! [V_x,V_z,V_y,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 177.99/178.15 => ( 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))
% 177.99/178.15 => 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))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_mult__imp__div__pos__less,axiom,
% 177.99/178.15 ! [V_z,V_x,V_y,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 177.99/178.15 => ( 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)))
% 177.99/178.15 => 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)) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_pos__divide__less__eq,axiom,
% 177.99/178.15 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 177.99/178.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_pos__less__divide__eq,axiom,
% 177.99/178.15 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 177.99/178.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__less__eq,axiom,
% 177.99/178.15 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 177.99/178.15 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 177.99/178.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 177.99/178.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 177.99/178.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 177.99/178.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_less__divide__eq,axiom,
% 177.99/178.15 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 177.99/178.15 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 177.99/178.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 177.99/178.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 177.99/178.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 177.99/178.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_add__num__frac,axiom,
% 177.99/178.15 ! [V_x,V_z,V_y,T_a] :
% 177.99/178.15 ( class_Fields_Ofield__inverse__zero(T_a)
% 177.99/178.15 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.15 => 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) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_add__divide__eq__iff,axiom,
% 177.99/178.15 ! [V_y,V_x,V_z,T_a] :
% 177.99/178.15 ( class_Fields_Ofield(T_a)
% 177.99/178.15 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.15 => 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) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_add__frac__num,axiom,
% 177.99/178.15 ! [V_z,V_x,V_y,T_a] :
% 177.99/178.15 ( class_Fields_Ofield__inverse__zero(T_a)
% 177.99/178.15 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.15 => 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) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__add__eq__iff,axiom,
% 177.99/178.15 ! [V_y,V_x,V_z,T_a] :
% 177.99/178.15 ( class_Fields_Ofield(T_a)
% 177.99/178.15 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.15 => 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) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_add__frac__eq,axiom,
% 177.99/178.15 ! [V_w,V_x,V_z,V_y,T_a] :
% 177.99/178.15 ( class_Fields_Ofield(T_a)
% 177.99/178.15 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.15 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.15 => 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)) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_diff__frac__eq,axiom,
% 177.99/178.15 ! [V_w,V_x,V_z,V_y,T_a] :
% 177.99/178.15 ( class_Fields_Ofield(T_a)
% 177.99/178.15 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.15 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.15 => 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)) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__diff__eq__iff,axiom,
% 177.99/178.15 ! [V_y,V_x,V_z,T_a] :
% 177.99/178.15 ( class_Fields_Ofield(T_a)
% 177.99/178.15 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.15 => 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) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_diff__divide__eq__iff,axiom,
% 177.99/178.15 ! [V_y,V_x,V_z,T_a] :
% 177.99/178.15 ( class_Fields_Ofield(T_a)
% 177.99/178.15 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.15 => 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) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_gt__half__sum,axiom,
% 177.99/178.15 ! [V_b,V_a,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 177.99/178.15 => 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)) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_less__half__sum,axiom,
% 177.99/178.15 ! [V_b,V_a,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 177.99/178.15 => 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))))) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__left__mono__neg,axiom,
% 177.99/178.15 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.15 => ( 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)))
% 177.99/178.15 => 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))) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__left__mono,axiom,
% 177.99/178.15 ! [V_c,V_a,V_b,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 177.99/178.15 => ( 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)))
% 177.99/178.15 => 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))) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_setprod__Un,axiom,
% 177.99/178.15 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 177.99/178.15 ( class_Fields_Ofield(T_c)
% 177.99/178.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.15 => ( ! [B_x] :
% 177.99/178.15 ( 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)))
% 177.99/178.15 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) )
% 177.99/178.15 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_setsum__mono__zero__left,axiom,
% 177.99/178.15 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 177.99/178.15 ( class_Groups_Ocomm__monoid__add(T_c)
% 177.99/178.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 177.99/178.15 => ( ! [B_x] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 177.99/178.15 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 177.99/178.15 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_field__le__mult__one__interval,axiom,
% 177.99/178.15 ! [V_y,V_x,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 177.99/178.15 => ( ! [B_z] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 177.99/178.15 => 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)) ) )
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_setprod__pos__nat,axiom,
% 177.99/178.15 ! [V_f_2,V_S_2,T_b] :
% 177.99/178.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 177.99/178.15 => ( ! [B_x] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 177.99/178.15 => 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))) )
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2))) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_setsum__SucD,axiom,
% 177.99/178.15 ! [V_n_2,V_A_2,V_f_2,T_b] :
% 177.99/178.15 ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,V_n_2)
% 177.99/178.15 => ? [B_x] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 177.99/178.15 & 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))) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osize_I5_J,axiom,
% 177.99/178.15 ! [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))) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osize_I13_J,axiom,
% 177.99/178.15 ! [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))) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_card_Oneutral,axiom,
% 177.99/178.15 ! [V_A_2,T_b] :
% 177.99/178.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.15 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 177.99/178.15 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 177.99/178.15 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osimps_I4_J,axiom,
% 177.99/178.15 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] :
% 177.99/178.15 ( 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)
% 177.99/178.15 <=> ( V_fun_2 = V_fun_H_2
% 177.99/178.15 & V_com1_2 = V_com1_H_2
% 177.99/178.15 & V_com2_2 = V_com2_H_2 ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osimps_I44_J,axiom,
% 177.99/178.15 ! [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) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osimps_I45_J,axiom,
% 177.99/178.15 ! [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) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osimps_I15_J,axiom,
% 177.99/178.15 ! [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 ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osimps_I14_J,axiom,
% 177.99/178.15 ! [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) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_fold__sup__le__sup,axiom,
% 177.99/178.15 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 177.99/178.15 ( class_Lattices_Osemilattice__sup(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.15 => ( ! [B_x] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_c_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_b_2),V_c_2))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_expand__Suc,axiom,
% 177.99/178.15 ! [V_v] :
% 177.99/178.15 ( 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)))
% 177.99/178.15 => 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))) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osize_I11_J,axiom,
% 177.99/178.15 ! [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))) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osize_I3_J,axiom,
% 177.99/178.15 ! [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))) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_UnionE,axiom,
% 177.99/178.15 ! [V_C_2,V_A_2,T_b] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 177.99/178.15 => ~ ! [B_X] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X))
% 177.99/178.15 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_setprod__pos,axiom,
% 177.99/178.15 ! [V_f_2,V_A_2,T_b,T_c] :
% 177.99/178.15 ( class_Rings_Olinordered__semidom(T_c)
% 177.99/178.15 => ( ! [B_x] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_setprod__nonneg,axiom,
% 177.99/178.15 ! [V_f_2,V_A_2,T_b,T_c] :
% 177.99/178.15 ( class_Rings_Olinordered__semidom(T_c)
% 177.99/178.15 => ( ! [B_x] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osimps_I2_J,axiom,
% 177.99/178.15 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] :
% 177.99/178.15 ( 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)
% 177.99/178.15 <=> ( V_loc_2 = V_loc_H_2
% 177.99/178.15 & V_fun_2 = V_fun_H_2
% 177.99/178.15 & V_com_2 = V_com_H_2 ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_number__of__reorient,axiom,
% 177.99/178.15 ! [V_x_2,V_w_2,T_b] :
% 177.99/178.15 ( class_Int_Onumber(T_b)
% 177.99/178.15 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2
% 177.99/178.15 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_eq__number__of,axiom,
% 177.99/178.15 ! [V_y_2,V_x_2,T_b] :
% 177.99/178.15 ( ( class_Int_Onumber__ring(T_b)
% 177.99/178.15 & class_Int_Oring__char__0(T_b) )
% 177.99/178.15 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 177.99/178.15 <=> V_x_2 = V_y_2 ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_le__number__of,axiom,
% 177.99/178.15 ! [V_y_2,V_x_2,T_b] :
% 177.99/178.15 ( ( class_Int_Onumber__ring(T_b)
% 177.99/178.15 & class_Rings_Olinordered__idom(T_b) )
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 177.99/178.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_less__number__of,axiom,
% 177.99/178.15 ! [V_y_2,V_x_2,T_b] :
% 177.99/178.15 ( ( class_Int_Onumber__ring(T_b)
% 177.99/178.15 & class_Rings_Olinordered__idom(T_b) )
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 177.99/178.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_number__of__add,axiom,
% 177.99/178.15 ! [V_w,V_v,T_a] :
% 177.99/178.15 ( class_Int_Onumber__ring(T_a)
% 177.99/178.15 => 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)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_add__number__of__eq,axiom,
% 177.99/178.15 ! [V_w,V_v,T_a] :
% 177.99/178.15 ( class_Int_Onumber__ring(T_a)
% 177.99/178.15 => 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)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_add__number__of__left,axiom,
% 177.99/178.15 ! [V_z,V_w,V_v,T_a] :
% 177.99/178.15 ( class_Int_Onumber__ring(T_a)
% 177.99/178.15 => 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) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_mult__number__of__left,axiom,
% 177.99/178.15 ! [V_z,V_w,V_v,T_a] :
% 177.99/178.15 ( class_Int_Onumber__ring(T_a)
% 177.99/178.15 => 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) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_arith__simps_I32_J,axiom,
% 177.99/178.15 ! [V_w,V_v,T_a] :
% 177.99/178.15 ( class_Int_Onumber__ring(T_a)
% 177.99/178.15 => 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)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_number__of__mult,axiom,
% 177.99/178.15 ! [V_w,V_v,T_a] :
% 177.99/178.15 ( class_Int_Onumber__ring(T_a)
% 177.99/178.15 => 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)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_number__of__diff,axiom,
% 177.99/178.15 ! [V_w,V_v,T_a] :
% 177.99/178.15 ( class_Int_Onumber__ring(T_a)
% 177.99/178.15 => 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)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osimps_I37_J,axiom,
% 177.99/178.15 ! [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) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osimps_I36_J,axiom,
% 177.99/178.15 ! [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) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osimps_I34_J,axiom,
% 177.99/178.15 ! [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) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osimps_I35_J,axiom,
% 177.99/178.15 ! [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) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osimps_I10_J,axiom,
% 177.99/178.15 ! [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) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osimps_I11_J,axiom,
% 177.99/178.15 ! [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 ).
% 177.99/178.15
% 177.99/178.15 fof(fact_le__number__of__eq__not__less,axiom,
% 177.99/178.15 ! [V_w_2,V_v_2,T_b] :
% 177.99/178.15 ( ( class_Int_Onumber(T_b)
% 177.99/178.15 & class_Orderings_Olinorder(T_b) )
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 177.99/178.15 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2))) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_right__distrib__number__of,axiom,
% 177.99/178.15 ! [V_c,V_b,V_v,T_b] :
% 177.99/178.15 ( ( class_Int_Onumber(T_b)
% 177.99/178.15 & class_Rings_Osemiring(T_b) )
% 177.99/178.15 => 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)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_left__distrib__number__of,axiom,
% 177.99/178.15 ! [V_v,V_b,V_a,T_b] :
% 177.99/178.15 ( ( class_Int_Onumber(T_b)
% 177.99/178.15 & class_Rings_Osemiring(T_b) )
% 177.99/178.15 => 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))) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_add__number__of__diff1,axiom,
% 177.99/178.15 ! [V_c,V_w,V_v,T_a] :
% 177.99/178.15 ( class_Int_Onumber__ring(T_a)
% 177.99/178.15 => 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) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_left__diff__distrib__number__of,axiom,
% 177.99/178.15 ! [V_v,V_b,V_a,T_b] :
% 177.99/178.15 ( ( class_Int_Onumber(T_b)
% 177.99/178.15 & class_Rings_Oring(T_b) )
% 177.99/178.15 => 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))) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_right__diff__distrib__number__of,axiom,
% 177.99/178.15 ! [V_c,V_b,V_v,T_b] :
% 177.99/178.15 ( ( class_Int_Onumber(T_b)
% 177.99/178.15 & class_Rings_Oring(T_b) )
% 177.99/178.15 => 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)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_Ints__number__of,axiom,
% 177.99/178.15 ! [V_w_2,T_b] :
% 177.99/178.15 ( class_Int_Onumber__ring(T_b)
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_eq__divide__eq__number__of1,axiom,
% 177.99/178.15 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 177.99/178.15 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 177.99/178.15 & class_Int_Onumber(T_b) )
% 177.99/178.15 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))
% 177.99/178.15 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.15 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_b_2 )
% 177.99/178.15 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.15 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_eq__divide__eq__number__of,axiom,
% 177.99/178.15 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 177.99/178.15 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 177.99/178.15 & class_Int_Onumber(T_b) )
% 177.99/178.15 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 177.99/178.15 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.15 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2) = V_b_2 )
% 177.99/178.15 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.15 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__eq__eq__number__of,axiom,
% 177.99/178.15 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 177.99/178.15 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 177.99/178.15 & class_Int_Onumber(T_b) )
% 177.99/178.15 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)
% 177.99/178.15 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.15 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2) )
% 177.99/178.15 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.15 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__eq__eq__number__of1,axiom,
% 177.99/178.15 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 177.99/178.15 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 177.99/178.15 & class_Int_Onumber(T_b) )
% 177.99/178.15 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_a_2
% 177.99/178.15 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.15 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) )
% 177.99/178.15 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.15 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_less__divide__eq__number__of1,axiom,
% 177.99/178.15 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 177.99/178.15 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 177.99/178.15 & class_Int_Onumber(T_b) )
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))))
% 177.99/178.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 177.99/178.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 177.99/178.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 177.99/178.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_less__divide__eq__number__of,axiom,
% 177.99/178.15 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 177.99/178.15 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 177.99/178.15 & class_Int_Onumber(T_b) )
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 177.99/178.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 177.99/178.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 177.99/178.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 177.99/178.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__less__eq__number__of,axiom,
% 177.99/178.15 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 177.99/178.15 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 177.99/178.15 & class_Int_Onumber(T_b) )
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 177.99/178.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 177.99/178.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 177.99/178.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 177.99/178.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) ) ) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__less__eq__number__of1,axiom,
% 177.99/178.15 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 177.99/178.15 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 177.99/178.15 & class_Int_Onumber(T_b) )
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_a_2))
% 177.99/178.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 177.99/178.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 177.99/178.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 177.99/178.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__le__eq__number__of1,axiom,
% 177.99/178.15 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 177.99/178.15 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 177.99/178.15 & class_Int_Onumber(T_b) )
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_a_2))
% 177.99/178.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 177.99/178.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 177.99/178.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 177.99/178.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_divide__le__eq__number__of,axiom,
% 177.99/178.15 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 177.99/178.15 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 177.99/178.15 & class_Int_Onumber(T_b) )
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 177.99/178.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 177.99/178.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 177.99/178.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 177.99/178.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) ) ) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_le__divide__eq__number__of,axiom,
% 177.99/178.15 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 177.99/178.15 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 177.99/178.15 & class_Int_Onumber(T_b) )
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 177.99/178.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 177.99/178.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 177.99/178.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 177.99/178.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_le__divide__eq__number__of1,axiom,
% 177.99/178.15 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 177.99/178.15 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 177.99/178.15 & class_Int_Onumber(T_b) )
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))))
% 177.99/178.15 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 177.99/178.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 177.99/178.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 177.99/178.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_finite__induct,axiom,
% 177.99/178.15 ! [V_Pa_2,V_F_2,T_b] :
% 177.99/178.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 177.99/178.15 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 177.99/178.15 => ( ! [B_x,B_F] :
% 177.99/178.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 177.99/178.15 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F))
% 177.99/178.15 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 177.99/178.15 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) )
% 177.99/178.15 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_fold1__antimono,axiom,
% 177.99/178.15 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_b)
% 177.99/178.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_B_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2))) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_number__of__succ,axiom,
% 177.99/178.15 ! [V_k,T_a] :
% 177.99/178.15 ( class_Int_Onumber__ring(T_a)
% 177.99/178.15 => 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)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_field__le__epsilon,axiom,
% 177.99/178.15 ! [V_y,V_x,T_a] :
% 177.99/178.15 ( class_Fields_Olinordered__field(T_a)
% 177.99/178.15 => ( ! [B_e] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 177.99/178.15 => 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))) )
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osize_I6_J,axiom,
% 177.99/178.15 ! [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))) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osize_I14_J,axiom,
% 177.99/178.15 ! [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))) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_pair__box_Osize_I1_J,axiom,
% 177.99/178.15 ! [V_b_2,V_a_2,V_fb_2,V_fa_2,T_c,T_b] : c_Nitpick_Opair__box_Opair__box__size(T_b,T_c,V_fa_2,V_fb_2,c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(V_fb_2,V_b_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_times__numeral__code_I5_J,axiom,
% 177.99/178.15 ! [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)) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_plus__numeral__code_I9_J,axiom,
% 177.99/178.15 ! [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)) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_less__number__of__int__code,axiom,
% 177.99/178.15 ! [V_l_2,V_k_2] :
% 177.99/178.15 ( 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)))
% 177.99/178.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_less__eq__number__of__int__code,axiom,
% 177.99/178.15 ! [V_l_2,V_k_2] :
% 177.99/178.15 ( 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)))
% 177.99/178.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_pos__zmult__eq__1__iff,axiom,
% 177.99/178.15 ! [V_n_2,V_m_2] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 177.99/178.15 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 177.99/178.15 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 177.99/178.15 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_odd__nonzero,axiom,
% 177.99/178.15 ! [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) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_int__one__le__iff__zero__less,axiom,
% 177.99/178.15 ! [V_z_2] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 177.99/178.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_int__0__less__1,axiom,
% 177.99/178.15 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))) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_le__imp__0__less,axiom,
% 177.99/178.15 ! [V_z] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 177.99/178.15 => 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))) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_odd__less__0,axiom,
% 177.99/178.15 ! [V_z_2] :
% 177.99/178.15 ( 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)))
% 177.99/178.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zmult__zless__mono2,axiom,
% 177.99/178.15 ! [V_k,V_j,V_i] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 177.99/178.15 => 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))) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zadd__0,axiom,
% 177.99/178.15 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zadd__0__right,axiom,
% 177.99/178.15 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 177.99/178.15
% 177.99/178.15 fof(fact_less__bin__lemma,axiom,
% 177.99/178.15 ! [V_l_2,V_k_2] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 177.99/178.15 <=> 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))) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zadd__left__mono,axiom,
% 177.99/178.15 ! [V_k,V_j,V_i] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 177.99/178.15 => 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))) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zadd__strict__right__mono,axiom,
% 177.99/178.15 ! [V_k,V_j,V_i] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 177.99/178.15 => 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))) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zadd__zless__mono,axiom,
% 177.99/178.15 ! [V_z,V_z_H,V_w,V_w_H] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 177.99/178.15 => 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))) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zle__antisym,axiom,
% 177.99/178.15 ! [V_w,V_z] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 177.99/178.15 => V_z = V_w ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zle__trans,axiom,
% 177.99/178.15 ! [V_k,V_j,V_i] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zle__linear,axiom,
% 177.99/178.15 ! [V_w,V_z] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 177.99/178.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zle__refl,axiom,
% 177.99/178.15 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zless__linear,axiom,
% 177.99/178.15 ! [V_y,V_x] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 177.99/178.15 | V_x = V_y
% 177.99/178.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zless__le,axiom,
% 177.99/178.15 ! [V_w_2,V_z_2] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 177.99/178.15 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 177.99/178.15 & V_z_2 != V_w_2 ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zadd__assoc,axiom,
% 177.99/178.15 ! [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)) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zadd__left__commute,axiom,
% 177.99/178.15 ! [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)) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zadd__commute,axiom,
% 177.99/178.15 ! [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) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zadd__zmult__distrib,axiom,
% 177.99/178.15 ! [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)) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zadd__zmult__distrib2,axiom,
% 177.99/178.15 ! [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)) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zmult__assoc,axiom,
% 177.99/178.15 ! [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)) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zmult__commute,axiom,
% 177.99/178.15 ! [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) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zdiff__zmult__distrib2,axiom,
% 177.99/178.15 ! [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)) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zdiff__zmult__distrib,axiom,
% 177.99/178.15 ! [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)) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zless__add1__eq,axiom,
% 177.99/178.15 ! [V_z_2,V_w_2] :
% 177.99/178.15 ( 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))))
% 177.99/178.15 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 177.99/178.15 | V_w_2 = V_z_2 ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zle__add1__eq__le,axiom,
% 177.99/178.15 ! [V_z_2,V_w_2] :
% 177.99/178.15 ( 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))))
% 177.99/178.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_add1__zle__eq,axiom,
% 177.99/178.15 ! [V_z_2,V_w_2] :
% 177.99/178.15 ( 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))
% 177.99/178.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zless__imp__add1__zle,axiom,
% 177.99/178.15 ! [V_z,V_w] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 177.99/178.15 => 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)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zle__diff1__eq,axiom,
% 177.99/178.15 ! [V_z_2,V_w_2] :
% 177.99/178.15 ( 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))))
% 177.99/178.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_succ__def,axiom,
% 177.99/178.15 ! [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)) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zmult__1__right,axiom,
% 177.99/178.15 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zmult__1,axiom,
% 177.99/178.15 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 177.99/178.15
% 177.99/178.15 fof(fact_pair__box_Oinject,axiom,
% 177.99/178.15 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 177.99/178.15 ( c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2) = c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_H_2,V_b_H_2)
% 177.99/178.15 <=> ( V_a_2 = V_a_H_2
% 177.99/178.15 & V_b_2 = V_b_H_2 ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_Min_Oidem,axiom,
% 177.99/178.15 ! [V_x,T_a] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_a)
% 177.99/178.15 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osimps_I5_J,axiom,
% 177.99/178.15 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] :
% 177.99/178.15 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2)
% 177.99/178.15 <=> ( V_fun_2 = V_fun_H_2
% 177.99/178.15 & V_com_2 = V_com_H_2 ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Oinf__assoc,axiom,
% 177.99/178.15 ! [V_z,V_y,V_x,T_a] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_a)
% 177.99/178.15 => 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)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Oinf_Oassoc,axiom,
% 177.99/178.15 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_a)
% 177.99/178.15 => 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)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Oinf__left__commute,axiom,
% 177.99/178.15 ! [V_z,V_y,V_x,T_a] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_a)
% 177.99/178.15 => 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)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 177.99/178.15 ! [V_c,V_a,V_b,T_a] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_a)
% 177.99/178.15 => 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)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Oinf__left__idem,axiom,
% 177.99/178.15 ! [V_y,V_x,T_a] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_a)
% 177.99/178.15 => 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) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 177.99/178.15 ! [V_b,V_a,T_a] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_a)
% 177.99/178.15 => 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) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Oinf__commute,axiom,
% 177.99/178.15 ! [V_y,V_x,T_a] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_a)
% 177.99/178.15 => 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) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Oinf_Ocommute,axiom,
% 177.99/178.15 ! [V_b,V_a,T_a] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_a)
% 177.99/178.15 => 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) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Oinf_Oidem,axiom,
% 177.99/178.15 ! [V_a,T_a] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_a)
% 177.99/178.15 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Oinf__le1,axiom,
% 177.99/178.15 ! [V_y,V_x,T_a] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_a)
% 177.99/178.15 => 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)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Oinf__le2,axiom,
% 177.99/178.15 ! [V_y,V_x,T_a] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_a)
% 177.99/178.15 => 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)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Ole__iff__inf,axiom,
% 177.99/178.15 ! [V_y_2,V_x_2,T_b] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 177.99/178.15 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Ole__inf__iff,axiom,
% 177.99/178.15 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_y_2),V_z_2)))
% 177.99/178.15 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 177.99/178.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Ole__infI1,axiom,
% 177.99/178.15 ! [V_b,V_x,V_a,T_a] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 177.99/178.15 => 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)) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Ole__infI2,axiom,
% 177.99/178.15 ! [V_a,V_x,V_b,T_a] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 177.99/178.15 => 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)) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Oinf__absorb1,axiom,
% 177.99/178.15 ! [V_y,V_x,T_a] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 177.99/178.15 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Oinf__absorb2,axiom,
% 177.99/178.15 ! [V_x,V_y,T_a] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 177.99/178.15 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Ole__infI,axiom,
% 177.99/178.15 ! [V_b,V_a,V_x,T_a] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 177.99/178.15 => 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))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Oinf__greatest,axiom,
% 177.99/178.15 ! [V_z,V_y,V_x,T_a] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 177.99/178.15 => 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))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Oinf__mono,axiom,
% 177.99/178.15 ! [V_d,V_b,V_c,V_a,T_a] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 177.99/178.15 => 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))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Ole__infE,axiom,
% 177.99/178.15 ! [V_b,V_a,V_x,T_a] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_a)
% 177.99/178.15 => ( 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)))
% 177.99/178.15 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 177.99/178.15 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__le__iff__disj,axiom,
% 177.99/178.15 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2))
% 177.99/178.15 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 177.99/178.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__less__iff__disj,axiom,
% 177.99/178.15 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2))
% 177.99/178.15 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 177.99/178.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__less__iff__conj,axiom,
% 177.99/178.15 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)))
% 177.99/178.15 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 177.99/178.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Oless__infI2,axiom,
% 177.99/178.15 ! [V_a,V_x,V_b,T_a] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 177.99/178.15 => 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)) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Oless__infI1,axiom,
% 177.99/178.15 ! [V_b,V_x,V_a,T_a] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_a)
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 177.99/178.15 => 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)) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__add__distrib__left,axiom,
% 177.99/178.15 ! [V_z,V_y,V_x,T_a] :
% 177.99/178.15 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 177.99/178.15 => 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)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__diff__distrib__left,axiom,
% 177.99/178.15 ! [V_z,V_y,V_x,T_a] :
% 177.99/178.15 ( class_Groups_Oordered__ab__group__add(T_a)
% 177.99/178.15 => 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)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_inf__min,axiom,
% 177.99/178.15 ! [T_b] :
% 177.99/178.15 ( ( class_Lattices_Osemilattice__inf(T_b)
% 177.99/178.15 & class_Orderings_Olinorder(T_b) )
% 177.99/178.15 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__0L,axiom,
% 177.99/178.15 ! [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) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__0R,axiom,
% 177.99/178.15 ! [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) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__Suc__Suc,axiom,
% 177.99/178.15 ! [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)) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__diff,axiom,
% 177.99/178.15 ! [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) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 177.99/178.15 ! [T_b] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_b)
% 177.99/178.15 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osimps_I52_J,axiom,
% 177.99/178.15 ! [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) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osimps_I53_J,axiom,
% 177.99/178.15 ! [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) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osimps_I46_J,axiom,
% 177.99/178.15 ! [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) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osimps_I47_J,axiom,
% 177.99/178.15 ! [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) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osimps_I38_J,axiom,
% 177.99/178.15 ! [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) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osimps_I39_J,axiom,
% 177.99/178.15 ! [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) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osimps_I17_J,axiom,
% 177.99/178.15 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ).
% 177.99/178.15
% 177.99/178.15 fof(fact_com_Osimps_I16_J,axiom,
% 177.99/178.15 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__number__of,axiom,
% 177.99/178.15 ! [V_v,V_u,T_b] :
% 177.99/178.15 ( ( class_Int_Onumber(T_b)
% 177.99/178.15 & class_Orderings_Oord(T_b) )
% 177.99/178.15 => ( ( 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)))
% 177.99/178.15 => 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) )
% 177.99/178.15 & ( ~ 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)))
% 177.99/178.15 => 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) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Ofold__inf__insert,axiom,
% 177.99/178.15 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.15 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 177.99/178.15 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),V_b_2))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Ofold1__belowI,axiom,
% 177.99/178.15 ! [V_a_2,V_A_2,T_b] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_a_2)) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 177.99/178.15 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)))
% 177.99/178.15 <=> ! [B_x] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_fold1__below__iff,axiom,
% 177.99/178.15 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2))
% 177.99/178.15 <=> ? [B_x] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 177.99/178.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_fold1__strict__below__iff,axiom,
% 177.99/178.15 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2))
% 177.99/178.15 <=> ? [B_x] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 177.99/178.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_strict__below__fold1__iff,axiom,
% 177.99/178.15 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.15 ( class_Orderings_Olinorder(T_b)
% 177.99/178.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)))
% 177.99/178.15 <=> ! [B_x] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_self__quotient__aux1,axiom,
% 177.99/178.15 ! [V_q,V_r,V_a] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 177.99/178.15 => ( 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))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_self__quotient__aux2,axiom,
% 177.99/178.15 ! [V_q,V_r,V_a] :
% 177.99/178.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 177.99/178.15 => ( 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))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 177.99/178.15 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 177.99/178.15 ( 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)
% 177.99/178.15 => ( 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)))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_unique__quotient__lemma__neg,axiom,
% 177.99/178.15 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 177.99/178.15 ( 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)))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_zdiv__mono2__lemma,axiom,
% 177.99/178.15 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 177.99/178.15 ( 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)
% 177.99/178.15 => ( 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)))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_unique__quotient__lemma,axiom,
% 177.99/178.15 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 177.99/178.15 ( 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)))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_q__neg__lemma,axiom,
% 177.99/178.15 ! [V_r_H,V_q_H,V_b_H] :
% 177.99/178.15 ( 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)))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 177.99/178.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_number__of__is__id,axiom,
% 177.99/178.15 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 177.99/178.15
% 177.99/178.15 fof(fact_inf__nat__def,axiom,
% 177.99/178.15 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_int__0__neq__1,axiom,
% 177.99/178.15 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 177.99/178.15
% 177.99/178.15 fof(fact_q__pos__lemma,axiom,
% 177.99/178.15 ! [V_r_H,V_q_H,V_b_H] :
% 177.99/178.15 ( 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)))
% 177.99/178.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 177.99/178.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 177.99/178.16 ! [V_y,V_x] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 177.99/178.16 => 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))) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 177.99/178.16 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))) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 177.99/178.16 ! [V_y,V_x] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 177.99/178.16 => 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))) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_pair__box_Osize_I2_J,axiom,
% 177.99/178.16 ! [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) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_pair__box_Orecs,axiom,
% 177.99/178.16 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__rec(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_pair__box_Osimps_I2_J,axiom,
% 177.99/178.16 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__case(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_min__ord__min,axiom,
% 177.99/178.16 ! [T_b] :
% 177.99/178.16 ( class_Orderings_Oord(T_b)
% 177.99/178.16 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 177.99/178.16 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))) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Suc__nat__number__of__add,axiom,
% 177.99/178.16 ! [V_n,V_v] :
% 177.99/178.16 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 177.99/178.16 => 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) )
% 177.99/178.16 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 177.99/178.16 => 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) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_tsub__def,axiom,
% 177.99/178.16 ! [V_x,V_y] :
% 177.99/178.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 177.99/178.16 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 177.99/178.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 177.99/178.16 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Min_Oremove,axiom,
% 177.99/178.16 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.16 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 )
% 177.99/178.16 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 177.99/178.16 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.16 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 )
% 177.99/178.16 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Suc__nat__number__of,axiom,
% 177.99/178.16 ! [V_v] :
% 177.99/178.16 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 177.99/178.16 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 177.99/178.16 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 177.99/178.16 => 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)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_of__nat__number__of__lemma,axiom,
% 177.99/178.16 ! [V_v,T_a] :
% 177.99/178.16 ( class_Int_Onumber__ring(T_a)
% 177.99/178.16 => ( ( 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)))
% 177.99/178.16 => 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) )
% 177.99/178.16 & ( ~ 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)))
% 177.99/178.16 => 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) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Min_Oeq__fold_H,axiom,
% 177.99/178.16 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.16 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 177.99/178.16 ! [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)) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_of__nat__eq__iff,axiom,
% 177.99/178.16 ! [V_n_2,V_m_2,T_b] :
% 177.99/178.16 ( class_Nat_Osemiring__char__0(T_b)
% 177.99/178.16 => ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)
% 177.99/178.16 <=> V_m_2 = V_n_2 ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_not__neg__int,axiom,
% 177.99/178.16 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_not__neg__0,axiom,
% 177.99/178.16 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_not__neg__1,axiom,
% 177.99/178.16 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_int__nat__number__of,axiom,
% 177.99/178.16 ! [V_v] :
% 177.99/178.16 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 177.99/178.16 => 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) )
% 177.99/178.16 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 177.99/178.16 => 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) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_int__0,axiom,
% 177.99/178.16 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) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_int__eq__0__conv,axiom,
% 177.99/178.16 ! [V_n_2] :
% 177.99/178.16 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 177.99/178.16 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 177.99/178.16 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)) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_zero__zle__int,axiom,
% 177.99/178.16 ! [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))) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 177.99/178.16 ! [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))) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 177.99/178.16 ! [V_Pa_2] :
% 177.99/178.16 ( ? [B_x] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 177.99/178.16 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 177.99/178.16 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 177.99/178.16 ! [V_Pa_2] :
% 177.99/178.16 ( ! [B_x] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 177.99/178.16 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 177.99/178.16 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_int__less__0__conv,axiom,
% 177.99/178.16 ! [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))) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_zless__int,axiom,
% 177.99/178.16 ! [V_n_2,V_m_2] :
% 177.99/178.16 ( 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)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 177.99/178.16 ! [V_y_2,V_x_2] :
% 177.99/178.16 ( 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)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_zle__int,axiom,
% 177.99/178.16 ! [V_n_2,V_m_2] :
% 177.99/178.16 ( 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)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 177.99/178.16 ! [V_y_2,V_x_2] :
% 177.99/178.16 ( 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)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_zadd__int__left,axiom,
% 177.99/178.16 ! [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) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_zadd__int,axiom,
% 177.99/178.16 ! [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)) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 177.99/178.16 ! [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)) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_zle__iff__zadd,axiom,
% 177.99/178.16 ! [V_z_2,V_w_2] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 177.99/178.16 <=> ? [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)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_of__nat__0__le__iff,axiom,
% 177.99/178.16 ! [V_n,T_a] :
% 177.99/178.16 ( class_Rings_Olinordered__semidom(T_a)
% 177.99/178.16 => 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))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_zero__le__imp__of__nat,axiom,
% 177.99/178.16 ! [V_m,T_a] :
% 177.99/178.16 ( class_Rings_Olinordered__semidom(T_a)
% 177.99/178.16 => 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))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_of__nat__less__0__iff,axiom,
% 177.99/178.16 ! [V_m,T_a] :
% 177.99/178.16 ( class_Rings_Olinordered__semidom(T_a)
% 177.99/178.16 => ~ 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))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_of__nat__number__of__eq,axiom,
% 177.99/178.16 ! [V_v,T_a] :
% 177.99/178.16 ( class_Int_Onumber__ring(T_a)
% 177.99/178.16 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 177.99/178.16 => 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) )
% 177.99/178.16 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 177.99/178.16 => 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) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_zmult__int,axiom,
% 177.99/178.16 ! [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)) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_int__mult,axiom,
% 177.99/178.16 ! [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)) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 177.99/178.16 ! [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)) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_of__nat__0,axiom,
% 177.99/178.16 ! [T_a] :
% 177.99/178.16 ( class_Rings_Osemiring__1(T_a)
% 177.99/178.16 => 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) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_of__nat__less__imp__less,axiom,
% 177.99/178.16 ! [V_n,V_m,T_a] :
% 177.99/178.16 ( class_Rings_Olinordered__semidom(T_a)
% 177.99/178.16 => ( 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)))
% 177.99/178.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_less__imp__of__nat__less,axiom,
% 177.99/178.16 ! [V_n,V_m,T_a] :
% 177.99/178.16 ( class_Rings_Olinordered__semidom(T_a)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 177.99/178.16 => 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))) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_of__nat__less__iff,axiom,
% 177.99/178.16 ! [V_n_2,V_m_2,T_b] :
% 177.99/178.16 ( class_Rings_Olinordered__semidom(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_int__1,axiom,
% 177.99/178.16 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) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 177.99/178.16 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)) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_of__nat__le__iff,axiom,
% 177.99/178.16 ! [V_n_2,V_m_2,T_b] :
% 177.99/178.16 ( class_Rings_Olinordered__semidom(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_of__nat__add,axiom,
% 177.99/178.16 ! [V_n,V_m,T_a] :
% 177.99/178.16 ( class_Rings_Osemiring__1(T_a)
% 177.99/178.16 => 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)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_of__nat__mult,axiom,
% 177.99/178.16 ! [V_n,V_m,T_a] :
% 177.99/178.16 ( class_Rings_Osemiring__1(T_a)
% 177.99/178.16 => 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)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_of__nat__1,axiom,
% 177.99/178.16 ! [T_a] :
% 177.99/178.16 ( class_Rings_Osemiring__1(T_a)
% 177.99/178.16 => 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) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Ints__of__nat,axiom,
% 177.99/178.16 ! [V_n_2,T_b] :
% 177.99/178.16 ( class_Rings_Oring__1(T_b)
% 177.99/178.16 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Min_Osingleton,axiom,
% 177.99/178.16 ! [V_x_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_not__neg__eq__ge__0,axiom,
% 177.99/178.16 ! [V_x_2] :
% 177.99/178.16 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_neg__def,axiom,
% 177.99/178.16 ! [V_Z_2] :
% 177.99/178.16 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_int__le__0__conv,axiom,
% 177.99/178.16 ! [V_n_2] :
% 177.99/178.16 ( 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)))
% 177.99/178.16 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_int__Suc0__eq__1,axiom,
% 177.99/178.16 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) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_zless__iff__Suc__zadd,axiom,
% 177.99/178.16 ! [V_z_2,V_w_2] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 177.99/178.16 <=> ? [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))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_int__Suc,axiom,
% 177.99/178.16 ! [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)) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_zdiff__int,axiom,
% 177.99/178.16 ! [V_m,V_n] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 177.99/178.16 => 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)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_of__nat__Suc,axiom,
% 177.99/178.16 ! [V_m,T_a] :
% 177.99/178.16 ( class_Rings_Osemiring__1(T_a)
% 177.99/178.16 => 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)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_of__nat__diff,axiom,
% 177.99/178.16 ! [V_m,V_n,T_a] :
% 177.99/178.16 ( class_Rings_Oring__1(T_a)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 177.99/178.16 => 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)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 177.99/178.16 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.16 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 177.99/178.16 ! [V_x_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Min__le,axiom,
% 177.99/178.16 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_x_2)) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Min__in,axiom,
% 177.99/178.16 ! [V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Min_Oin__idem,axiom,
% 177.99/178.16 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.16 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_neg__imp__number__of__eq__0,axiom,
% 177.99/178.16 ! [V_v] :
% 177.99/178.16 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 177.99/178.16 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 177.99/178.16 ! [V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Min_OF__eq,axiom,
% 177.99/178.16 ! [V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_zero__less__int__conv,axiom,
% 177.99/178.16 ! [V_n_2] :
% 177.99/178.16 ( 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)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_zmult__zless__mono2__lemma,axiom,
% 177.99/178.16 ! [V_k,V_j,V_i] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 177.99/178.16 => 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))) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_of__nat__0__less__iff,axiom,
% 177.99/178.16 ! [V_n_2,T_b] :
% 177.99/178.16 ( class_Rings_Olinordered__semidom(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 177.99/178.16 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 177.99/178.16 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 177.99/178.16 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 177.99/178.16 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.16 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Min__antimono,axiom,
% 177.99/178.16 ! [V_N_2,V_M_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 177.99/178.16 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 177.99/178.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_M_2))) ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 177.99/178.16 ! [V_a_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Min__insert,axiom,
% 177.99/178.16 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Min_Osubset__idem,axiom,
% 177.99/178.16 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 177.99/178.16 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Min__Un,axiom,
% 177.99/178.16 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.16 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_eq__nat__number__of,axiom,
% 177.99/178.16 ! [V_v_H_2,V_v_2] :
% 177.99/178.16 ( 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)
% 177.99/178.16 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 177.99/178.16 => 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))) )
% 177.99/178.16 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 177.99/178.16 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 177.99/178.16 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 177.99/178.16 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 177.99/178.16 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_nat__number__of__add__left,axiom,
% 177.99/178.16 ! [V_k,V_v_H,V_v] :
% 177.99/178.16 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 177.99/178.16 => 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) )
% 177.99/178.16 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 177.99/178.16 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 177.99/178.16 => 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) )
% 177.99/178.16 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 177.99/178.16 => 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) ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 177.99/178.16 ! [V_a_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 177.99/178.16 ! [V_y,V_x] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 177.99/178.16 => 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))) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_tsub__eq,axiom,
% 177.99/178.16 ! [V_x,V_y] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 177.99/178.16 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 177.99/178.16 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.16 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 177.99/178.16 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 177.99/178.16 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 177.99/178.16 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.16 => ( 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))
% 177.99/178.16 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 177.99/178.16 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.16 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => ( 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))
% 177.99/178.16 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 177.99/178.16 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.16 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Min_Oinsert,axiom,
% 177.99/178.16 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.16 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Min_Oinsert__remove,axiom,
% 177.99/178.16 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 177.99/178.16 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Min_Ounion__inter,axiom,
% 177.99/178.16 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.16 => ( 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))
% 177.99/178.16 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Min_Ounion__disjoint,axiom,
% 177.99/178.16 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 177.99/178.16 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => ( 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))
% 177.99/178.16 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_zdiff__int__split,axiom,
% 177.99/178.16 ! [V_y_2,V_x_2,V_Pa_2] :
% 177.99/178.16 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2))))
% 177.99/178.16 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 177.99/178.16 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))) )
% 177.99/178.16 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 177.99/178.16 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 177.99/178.16 ! [V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 177.99/178.16 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),V_A_2)) ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Min_Oclosed,axiom,
% 177.99/178.16 ! [V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 177.99/178.16 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 177.99/178.16 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_setsum__bounded,axiom,
% 177.99/178.16 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] :
% 177.99/178.16 ( ( class_Groups_Oordered__ab__semigroup__add(T_c)
% 177.99/178.16 & class_Rings_Osemiring__1(T_c) )
% 177.99/178.16 => ( ! [B_i] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2))
% 177.99/178.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) )
% 177.99/178.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))),V_K_2))) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_nat__1__add__number__of,axiom,
% 177.99/178.16 ! [V_v] :
% 177.99/178.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 177.99/178.16 => 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) )
% 177.99/178.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 177.99/178.16 => 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)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_nat__number__of__add__1,axiom,
% 177.99/178.16 ! [V_v] :
% 177.99/178.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 177.99/178.16 => 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) )
% 177.99/178.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 177.99/178.16 => 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)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_neg__number__of__pred__iff__0,axiom,
% 177.99/178.16 ! [V_v_2] :
% 177.99/178.16 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 177.99/178.16 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 177.99/178.16 ! [V_y_2,V_x_2] :
% 177.99/178.16 ( 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)
% 177.99/178.16 <=> V_x_2 = V_y_2 ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_int__int__eq,axiom,
% 177.99/178.16 ! [V_n_2,V_m_2] :
% 177.99/178.16 ( 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)
% 177.99/178.16 <=> V_m_2 = V_n_2 ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Pls__def,axiom,
% 177.99/178.16 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_rel__simps_I19_J,axiom,
% 177.99/178.16 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_rel__simps_I2_J,axiom,
% 177.99/178.16 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_add__Pls__right,axiom,
% 177.99/178.16 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 177.99/178.16
% 177.99/178.16 fof(fact_add__Pls,axiom,
% 177.99/178.16 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 177.99/178.16
% 177.99/178.16 fof(fact_mult__Pls,axiom,
% 177.99/178.16 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 177.99/178.16
% 177.99/178.16 fof(fact_diff__bin__simps_I1_J,axiom,
% 177.99/178.16 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 177.99/178.16
% 177.99/178.16 fof(fact_succ__pred,axiom,
% 177.99/178.16 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 177.99/178.16
% 177.99/178.16 fof(fact_semiring__norm_I112_J,axiom,
% 177.99/178.16 ! [T_a] :
% 177.99/178.16 ( class_Int_Onumber__ring(T_a)
% 177.99/178.16 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_number__of__Pls,axiom,
% 177.99/178.16 ! [T_a] :
% 177.99/178.16 ( class_Int_Onumber__ring(T_a)
% 177.99/178.16 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_add__numeral__0,axiom,
% 177.99/178.16 ! [V_a,T_a] :
% 177.99/178.16 ( class_Int_Onumber__ring(T_a)
% 177.99/178.16 => 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 ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_add__numeral__0__right,axiom,
% 177.99/178.16 ! [V_a,T_a] :
% 177.99/178.16 ( class_Int_Onumber__ring(T_a)
% 177.99/178.16 => 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 ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_number__of2,axiom,
% 177.99/178.16 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))) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_bin__less__0__simps_I1_J,axiom,
% 177.99/178.16 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_nat__number__of__Pls,axiom,
% 177.99/178.16 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_semiring__norm_I113_J,axiom,
% 177.99/178.16 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_zero__is__num__zero,axiom,
% 177.99/178.16 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Suc__diff__number__of,axiom,
% 177.99/178.16 ! [V_m,V_v] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 177.99/178.16 => 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))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_not__neg__number__of__Pls,axiom,
% 177.99/178.16 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_le__iff__pred__less,axiom,
% 177.99/178.16 ! [V_l_2,V_k_2] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_pred__def,axiom,
% 177.99/178.16 ! [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)) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_nat__number__of__diff__1,axiom,
% 177.99/178.16 ! [V_v] :
% 177.99/178.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 177.99/178.16 => 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) )
% 177.99/178.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 177.99/178.16 => 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)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_divide__Numeral0,axiom,
% 177.99/178.16 ! [V_x,T_a] :
% 177.99/178.16 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 177.99/178.16 & class_Int_Onumber__ring(T_a) )
% 177.99/178.16 => 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) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_eq__number__of__0,axiom,
% 177.99/178.16 ! [V_v_2] :
% 177.99/178.16 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_eq__0__number__of,axiom,
% 177.99/178.16 ! [V_v_2] :
% 177.99/178.16 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_less__nat__number__of,axiom,
% 177.99/178.16 ! [V_v_H_2,V_v_2] :
% 177.99/178.16 ( 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)))
% 177.99/178.16 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 177.99/178.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 177.99/178.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_le__nat__number__of,axiom,
% 177.99/178.16 ! [V_v_H_2,V_v_2] :
% 177.99/178.16 ( 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)))
% 177.99/178.16 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 177.99/178.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_le__special_I3_J,axiom,
% 177.99/178.16 ! [V_x_2,T_b] :
% 177.99/178.16 ( ( class_Int_Onumber__ring(T_b)
% 177.99/178.16 & class_Rings_Olinordered__idom(T_b) )
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_le__special_I1_J,axiom,
% 177.99/178.16 ! [V_y_2,T_b] :
% 177.99/178.16 ( ( class_Int_Onumber__ring(T_b)
% 177.99/178.16 & class_Rings_Olinordered__idom(T_b) )
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_less__special_I1_J,axiom,
% 177.99/178.16 ! [V_y_2,T_b] :
% 177.99/178.16 ( ( class_Int_Onumber__ring(T_b)
% 177.99/178.16 & class_Rings_Olinordered__idom(T_b) )
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_less__special_I3_J,axiom,
% 177.99/178.16 ! [V_x_2,T_b] :
% 177.99/178.16 ( ( class_Int_Onumber__ring(T_b)
% 177.99/178.16 & class_Rings_Olinordered__idom(T_b) )
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_less__0__number__of,axiom,
% 177.99/178.16 ! [V_v_2] :
% 177.99/178.16 ( 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)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_add__nat__number__of,axiom,
% 177.99/178.16 ! [V_v_H,V_v] :
% 177.99/178.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 177.99/178.16 => 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) )
% 177.99/178.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 177.99/178.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 177.99/178.16 => 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) )
% 177.99/178.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 177.99/178.16 => 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)) ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_nat__number__of__mult__left,axiom,
% 177.99/178.16 ! [V_k,V_v_H,V_v] :
% 177.99/178.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 177.99/178.16 => 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) )
% 177.99/178.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 177.99/178.16 => 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) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_mult__nat__number__of,axiom,
% 177.99/178.16 ! [V_v_H,V_v] :
% 177.99/178.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 177.99/178.16 => 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) )
% 177.99/178.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 177.99/178.16 => 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)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Nats__number__of,axiom,
% 177.99/178.16 ! [V_w_2,T_b] :
% 177.99/178.16 ( class_Int_Onumber__ring(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 177.99/178.16 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_decr__mult__lemma,axiom,
% 177.99/178.16 ! [V_k_2,V_Pa_2,V_d_2] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 177.99/178.16 => ( ! [B_x] :
% 177.99/178.16 ( hBOOL(hAPP(V_Pa_2,B_x))
% 177.99/178.16 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 177.99/178.16 => ! [B_x] :
% 177.99/178.16 ( hBOOL(hAPP(V_Pa_2,B_x))
% 177.99/178.16 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_incr__mult__lemma,axiom,
% 177.99/178.16 ! [V_k_2,V_Pa_2,V_d_2] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 177.99/178.16 => ( ! [B_x] :
% 177.99/178.16 ( hBOOL(hAPP(V_Pa_2,B_x))
% 177.99/178.16 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 177.99/178.16 => ! [B_x] :
% 177.99/178.16 ( hBOOL(hAPP(V_Pa_2,B_x))
% 177.99/178.16 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_zero__less__imp__eq__int,axiom,
% 177.99/178.16 ! [V_k] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 177.99/178.16 => ? [B_n] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 177.99/178.16 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_decr__lemma,axiom,
% 177.99/178.16 ! [V_z,V_x,V_d] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 177.99/178.16 => 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)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_incr__lemma,axiom,
% 177.99/178.16 ! [V_x,V_z,V_d] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 177.99/178.16 => 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)))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__idempotent,axiom,
% 177.99/178.16 ! [V_a,T_a] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 177.99/178.16 => 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) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__le__D1,axiom,
% 177.99/178.16 ! [V_b,V_a,T_a] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 177.99/178.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__ge__self,axiom,
% 177.99/178.16 ! [V_a,T_a] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 177.99/178.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__zero,axiom,
% 177.99/178.16 ! [T_a] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 177.99/178.16 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__eq__0,axiom,
% 177.99/178.16 ! [V_a_2,T_b] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 177.99/178.16 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.16 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__add__abs,axiom,
% 177.99/178.16 ! [V_b,V_a,T_a] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 177.99/178.16 => 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)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__mult__self,axiom,
% 177.99/178.16 ! [V_a,T_a] :
% 177.99/178.16 ( class_Rings_Olinordered__idom(T_a)
% 177.99/178.16 => 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) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__mult,axiom,
% 177.99/178.16 ! [V_b,V_a,T_a] :
% 177.99/178.16 ( class_Rings_Olinordered__idom(T_a)
% 177.99/178.16 => 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)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__minus__commute,axiom,
% 177.99/178.16 ! [V_b,V_a,T_a] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 177.99/178.16 => 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)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__one,axiom,
% 177.99/178.16 ! [T_a] :
% 177.99/178.16 ( class_Rings_Olinordered__idom(T_a)
% 177.99/178.16 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__of__nat,axiom,
% 177.99/178.16 ! [V_n,T_a] :
% 177.99/178.16 ( class_Rings_Olinordered__idom(T_a)
% 177.99/178.16 => 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) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__divide,axiom,
% 177.99/178.16 ! [V_b,V_a,T_a] :
% 177.99/178.16 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 177.99/178.16 => 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)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__int__eq,axiom,
% 177.99/178.16 ! [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) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__of__nonneg,axiom,
% 177.99/178.16 ! [V_a,T_a] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.16 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__le__zero__iff,axiom,
% 177.99/178.16 ! [V_a_2,T_b] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.16 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__ge__zero,axiom,
% 177.99/178.16 ! [V_a,T_a] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 177.99/178.16 => 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))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__of__pos,axiom,
% 177.99/178.16 ! [V_a,T_a] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.16 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_zero__less__abs__iff,axiom,
% 177.99/178.16 ! [V_a_2,T_b] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)))
% 177.99/178.16 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__not__less__zero,axiom,
% 177.99/178.16 ! [V_a,T_a] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 177.99/178.16 => ~ 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))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__triangle__ineq,axiom,
% 177.99/178.16 ! [V_b,V_a,T_a] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 177.99/178.16 => 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)))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__mult__less,axiom,
% 177.99/178.16 ! [V_d,V_b,V_c,V_a,T_a] :
% 177.99/178.16 ( class_Rings_Olinordered__idom(T_a)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 177.99/178.16 => 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))) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__triangle__ineq2__sym,axiom,
% 177.99/178.16 ! [V_b,V_a,T_a] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 177.99/178.16 => 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)))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__triangle__ineq2,axiom,
% 177.99/178.16 ! [V_b,V_a,T_a] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 177.99/178.16 => 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)))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__triangle__ineq3,axiom,
% 177.99/178.16 ! [V_b,V_a,T_a] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 177.99/178.16 => 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)))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_nonzero__abs__divide,axiom,
% 177.99/178.16 ! [V_a,V_b,T_a] :
% 177.99/178.16 ( class_Fields_Olinordered__field(T_a)
% 177.99/178.16 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.16 => 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)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__zmult__eq__1,axiom,
% 177.99/178.16 ! [V_n,V_m] :
% 177.99/178.16 ( 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)
% 177.99/178.16 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__mult__pos,axiom,
% 177.99/178.16 ! [V_y,V_x,T_a] :
% 177.99/178.16 ( class_Rings_Olinordered__idom(T_a)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 177.99/178.16 => 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)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__eq__mult,axiom,
% 177.99/178.16 ! [V_b,V_a,T_a] :
% 177.99/178.16 ( class_Rings_Oordered__ring__abs(T_a)
% 177.99/178.16 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 177.99/178.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 177.99/178.16 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 177.99/178.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 177.99/178.16 => 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)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__diff__triangle__ineq,axiom,
% 177.99/178.16 ! [V_d,V_c,V_b,V_a,T_a] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 177.99/178.16 => 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))))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__triangle__ineq4,axiom,
% 177.99/178.16 ! [V_b,V_a,T_a] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 177.99/178.16 => 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)))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__div__pos,axiom,
% 177.99/178.16 ! [V_x,V_y,T_a] :
% 177.99/178.16 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 177.99/178.16 => 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)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_zabs__less__one__iff,axiom,
% 177.99/178.16 ! [V_z_2] :
% 177.99/178.16 ( 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)))
% 177.99/178.16 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Nats__0,axiom,
% 177.99/178.16 ! [T_b] :
% 177.99/178.16 ( class_Rings_Osemiring__1(T_b)
% 177.99/178.16 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Nats__add,axiom,
% 177.99/178.16 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.16 ( class_Rings_Osemiring__1(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 177.99/178.16 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Nats__mult,axiom,
% 177.99/178.16 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.16 ( class_Rings_Osemiring__1(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 177.99/178.16 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Nats__1,axiom,
% 177.99/178.16 ! [T_b] :
% 177.99/178.16 ( class_Rings_Osemiring__1(T_b)
% 177.99/178.16 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_of__nat__in__Nats,axiom,
% 177.99/178.16 ! [V_n_2,T_b] :
% 177.99/178.16 ( class_Rings_Osemiring__1(T_b)
% 177.99/178.16 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_int__val__lemma,axiom,
% 177.99/178.16 ! [V_k_2,V_f_2,V_n_2] :
% 177.99/178.16 ( ! [B_i] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 177.99/178.16 => 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))) )
% 177.99/178.16 => ( 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))
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 177.99/178.16 => ? [B_i] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 177.99/178.16 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_nat0__intermed__int__val,axiom,
% 177.99/178.16 ! [V_k_2,V_f_2,V_n_2] :
% 177.99/178.16 ( ! [B_i] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 177.99/178.16 => 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))) )
% 177.99/178.16 => ( 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))
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 177.99/178.16 => ? [B_i] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 177.99/178.16 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 177.99/178.16 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( ! [B_x] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 177.99/178.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 177.99/178.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_c_2),V_A_2))) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Min__eqI,axiom,
% 177.99/178.16 ! [V_x_2,V_A_2,T_b] :
% 177.99/178.16 ( class_Orderings_Olinorder(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 177.99/178.16 => ( ! [B_y] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 177.99/178.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) )
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 177.99/178.16 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_nat__intermed__int__val,axiom,
% 177.99/178.16 ! [V_k_2,V_f_2,V_n_2,V_m_2] :
% 177.99/178.16 ( ! [B_i] :
% 177.99/178.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 177.99/178.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) )
% 177.99/178.16 => 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))) )
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 177.99/178.16 => ? [B_i] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 177.99/178.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 177.99/178.16 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 177.99/178.16 ! [V_m,V_n] :
% 177.99/178.16 ( 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))
% 177.99/178.16 => 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)))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_rel__simps_I51_J,axiom,
% 177.99/178.16 ! [V_l_2,V_k_2] :
% 177.99/178.16 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 177.99/178.16 <=> V_k_2 = V_l_2 ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_less__eq__int__code_I16_J,axiom,
% 177.99/178.16 ! [V_k2_2,V_k1_2] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_rel__simps_I34_J,axiom,
% 177.99/178.16 ! [V_l_2,V_k_2] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_rel__simps_I17_J,axiom,
% 177.99/178.16 ! [V_l_2,V_k_2] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_less__int__code_I16_J,axiom,
% 177.99/178.16 ! [V_k2_2,V_k1_2] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_rel__simps_I46_J,axiom,
% 177.99/178.16 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 177.99/178.16
% 177.99/178.16 fof(fact_rel__simps_I39_J,axiom,
% 177.99/178.16 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_bin__less__0__simps_I4_J,axiom,
% 177.99/178.16 ! [V_w_2] :
% 177.99/178.16 ( 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)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_rel__simps_I22_J,axiom,
% 177.99/178.16 ! [V_k_2] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_rel__simps_I12_J,axiom,
% 177.99/178.16 ! [V_k_2] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Bit1__def,axiom,
% 177.99/178.16 ! [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) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_neg__number__of__Bit1,axiom,
% 177.99/178.16 ! [V_w_2] :
% 177.99/178.16 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 177.99/178.16 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_succ__Pls,axiom,
% 177.99/178.16 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_number__of__Bit1,axiom,
% 177.99/178.16 ! [V_w,T_a] :
% 177.99/178.16 ( class_Int_Onumber__ring(T_a)
% 177.99/178.16 => 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)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_mult__numeral__1,axiom,
% 177.99/178.16 ! [V_a,T_a] :
% 177.99/178.16 ( class_Int_Onumber__ring(T_a)
% 177.99/178.16 => 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 ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_mult__numeral__1__right,axiom,
% 177.99/178.16 ! [V_a,T_a] :
% 177.99/178.16 ( class_Int_Onumber__ring(T_a)
% 177.99/178.16 => 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 ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_numeral__1__eq__1,axiom,
% 177.99/178.16 ! [T_a] :
% 177.99/178.16 ( class_Int_Onumber__ring(T_a)
% 177.99/178.16 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_semiring__norm_I110_J,axiom,
% 177.99/178.16 ! [T_a] :
% 177.99/178.16 ( class_Int_Onumber__ring(T_a)
% 177.99/178.16 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_rel__simps_I5_J,axiom,
% 177.99/178.16 ! [V_k_2] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_rel__simps_I29_J,axiom,
% 177.99/178.16 ! [V_k_2] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_divide__numeral__1,axiom,
% 177.99/178.16 ! [V_a,T_a] :
% 177.99/178.16 ( ( class_Fields_Ofield(T_a)
% 177.99/178.16 & class_Int_Onumber__ring(T_a) )
% 177.99/178.16 => 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 ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_divide__Numeral1,axiom,
% 177.99/178.16 ! [V_x,T_a] :
% 177.99/178.16 ( ( class_Fields_Ofield(T_a)
% 177.99/178.16 & class_Int_Onumber__ring(T_a) )
% 177.99/178.16 => 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 ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_one__is__num__one,axiom,
% 177.99/178.16 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Numeral1__eq1__nat,axiom,
% 177.99/178.16 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_nat__numeral__1__eq__1,axiom,
% 177.99/178.16 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_numeral__1__eq__Suc__0,axiom,
% 177.99/178.16 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)) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_numeral__3__eq__3,axiom,
% 177.99/178.16 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)))) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 177.99/178.16 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))))) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Suc3__eq__add__3,axiom,
% 177.99/178.16 ! [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) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 177.99/178.16 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)))) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_le__special_I4_J,axiom,
% 177.99/178.16 ! [V_x_2,T_b] :
% 177.99/178.16 ( ( class_Int_Onumber__ring(T_b)
% 177.99/178.16 & class_Rings_Olinordered__idom(T_b) )
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Oone__class_Oone(T_b)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_le__special_I2_J,axiom,
% 177.99/178.16 ! [V_y_2,T_b] :
% 177.99/178.16 ( ( class_Int_Onumber__ring(T_b)
% 177.99/178.16 & class_Rings_Olinordered__idom(T_b) )
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Oone__class_Oone(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_less__special_I2_J,axiom,
% 177.99/178.16 ! [V_y_2,T_b] :
% 177.99/178.16 ( ( class_Int_Onumber__ring(T_b)
% 177.99/178.16 & class_Rings_Olinordered__idom(T_b) )
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_less__special_I4_J,axiom,
% 177.99/178.16 ! [V_x_2,T_b] :
% 177.99/178.16 ( ( class_Int_Onumber__ring(T_b)
% 177.99/178.16 & class_Rings_Olinordered__idom(T_b) )
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Oone__class_Oone(T_b)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_add__special_I3_J,axiom,
% 177.99/178.16 ! [V_v,T_a] :
% 177.99/178.16 ( class_Int_Onumber__ring(T_a)
% 177.99/178.16 => 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))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_add__special_I2_J,axiom,
% 177.99/178.16 ! [V_w,T_a] :
% 177.99/178.16 ( class_Int_Onumber__ring(T_a)
% 177.99/178.16 => 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)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_one__code__numeral__code,axiom,
% 177.99/178.16 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)) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_diff__special_I2_J,axiom,
% 177.99/178.16 ! [V_v,T_a] :
% 177.99/178.16 ( class_Int_Onumber__ring(T_a)
% 177.99/178.16 => 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)))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_diff__special_I1_J,axiom,
% 177.99/178.16 ! [V_w,T_a] :
% 177.99/178.16 ( class_Int_Onumber__ring(T_a)
% 177.99/178.16 => 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))) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_less__2__cases,axiom,
% 177.99/178.16 ! [V_n] :
% 177.99/178.16 ( 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)))))
% 177.99/178.16 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 177.99/178.16 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_half__gt__zero__iff,axiom,
% 177.99/178.16 ! [V_r_2,T_b] :
% 177.99/178.16 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 177.99/178.16 & class_Int_Onumber__ring(T_b) )
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_r_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_half__gt__zero,axiom,
% 177.99/178.16 ! [V_r,T_a] :
% 177.99/178.16 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 177.99/178.16 & class_Int_Onumber__ring(T_a) )
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 177.99/178.16 => 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)))))) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_negative__zle,axiom,
% 177.99/178.16 ! [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))) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_negative__zless,axiom,
% 177.99/178.16 ! [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))) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_minus__number__of__mult,axiom,
% 177.99/178.16 ! [V_z,V_w,T_a] :
% 177.99/178.16 ( class_Int_Onumber__ring(T_a)
% 177.99/178.16 => 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) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_double__compl,axiom,
% 177.99/178.16 ! [V_x,T_a] :
% 177.99/178.16 ( class_Lattices_Oboolean__algebra(T_a)
% 177.99/178.16 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_uminus__apply,axiom,
% 177.99/178.16 ! [V_x_2,V_A_2,T_c,T_b] :
% 177.99/178.16 ( class_Groups_Ouminus(T_b)
% 177.99/178.16 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_compl__eq__compl__iff,axiom,
% 177.99/178.16 ! [V_y_2,V_x_2,T_b] :
% 177.99/178.16 ( class_Lattices_Oboolean__algebra(T_b)
% 177.99/178.16 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)
% 177.99/178.16 <=> V_x_2 = V_y_2 ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_minus__minus,axiom,
% 177.99/178.16 ! [V_a,T_a] :
% 177.99/178.16 ( class_Groups_Ogroup__add(T_a)
% 177.99/178.16 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_equation__minus__iff,axiom,
% 177.99/178.16 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.16 ( class_Groups_Ogroup__add(T_b)
% 177.99/178.16 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 177.99/178.16 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_minus__equation__iff,axiom,
% 177.99/178.16 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.16 ( class_Groups_Ogroup__add(T_b)
% 177.99/178.16 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2
% 177.99/178.16 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_neg__equal__iff__equal,axiom,
% 177.99/178.16 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.16 ( class_Groups_Ogroup__add(T_b)
% 177.99/178.16 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 177.99/178.16 <=> V_a_2 = V_b_2 ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_zminus__zminus,axiom,
% 177.99/178.16 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 177.99/178.16
% 177.99/178.16 fof(fact_minus__Bit0,axiom,
% 177.99/178.16 ! [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)) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_rel__simps_I48_J,axiom,
% 177.99/178.16 ! [V_l_2,V_k_2] :
% 177.99/178.16 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 177.99/178.16 <=> V_k_2 = V_l_2 ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_code__numeral__zero__minus__one,axiom,
% 177.99/178.16 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) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_number__of__minus,axiom,
% 177.99/178.16 ! [V_w,T_a] :
% 177.99/178.16 ( class_Int_Onumber__ring(T_a)
% 177.99/178.16 => 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)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_arith__simps_I30_J,axiom,
% 177.99/178.16 ! [V_w,T_a] :
% 177.99/178.16 ( class_Int_Onumber__ring(T_a)
% 177.99/178.16 => 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)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_le__imp__neg__le,axiom,
% 177.99/178.16 ! [V_b,V_a,T_a] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add(T_a)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 177.99/178.16 => 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))) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_neg__le__iff__le,axiom,
% 177.99/178.16 ! [V_a_2,V_b_2,T_b] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_minus__le__iff,axiom,
% 177.99/178.16 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_le__minus__iff,axiom,
% 177.99/178.16 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_compl__mono,axiom,
% 177.99/178.16 ! [V_y,V_x,T_a] :
% 177.99/178.16 ( class_Lattices_Oboolean__algebra(T_a)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 177.99/178.16 => 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))) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_compl__le__compl__iff,axiom,
% 177.99/178.16 ! [V_y_2,V_x_2,T_b] :
% 177.99/178.16 ( class_Lattices_Oboolean__algebra(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_minus__zero,axiom,
% 177.99/178.16 ! [T_a] :
% 177.99/178.16 ( class_Groups_Ogroup__add(T_a)
% 177.99/178.16 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_neg__0__equal__iff__equal,axiom,
% 177.99/178.16 ! [V_a_2,T_b] :
% 177.99/178.16 ( class_Groups_Ogroup__add(T_b)
% 177.99/178.16 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 177.99/178.16 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_equal__neg__zero,axiom,
% 177.99/178.16 ! [V_a_2,T_b] :
% 177.99/178.16 ( class_Groups_Olinordered__ab__group__add(T_b)
% 177.99/178.16 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 177.99/178.16 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_neg__equal__0__iff__equal,axiom,
% 177.99/178.16 ! [V_a_2,T_b] :
% 177.99/178.16 ( class_Groups_Ogroup__add(T_b)
% 177.99/178.16 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 177.99/178.16 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_neg__equal__zero,axiom,
% 177.99/178.16 ! [V_a_2,T_b] :
% 177.99/178.16 ( class_Groups_Olinordered__ab__group__add(T_b)
% 177.99/178.16 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2
% 177.99/178.16 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_neg__less__iff__less,axiom,
% 177.99/178.16 ! [V_a_2,V_b_2,T_b] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_minus__less__iff,axiom,
% 177.99/178.16 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_less__minus__iff,axiom,
% 177.99/178.16 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_minus__add__distrib,axiom,
% 177.99/178.16 ! [V_b,V_a,T_a] :
% 177.99/178.16 ( class_Groups_Oab__group__add(T_a)
% 177.99/178.16 => 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)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_minus__add,axiom,
% 177.99/178.16 ! [V_b,V_a,T_a] :
% 177.99/178.16 ( class_Groups_Ogroup__add(T_a)
% 177.99/178.16 => 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)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_add__minus__cancel,axiom,
% 177.99/178.16 ! [V_b,V_a,T_a] :
% 177.99/178.16 ( class_Groups_Ogroup__add(T_a)
% 177.99/178.16 => 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 ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_minus__add__cancel,axiom,
% 177.99/178.16 ! [V_b,V_a,T_a] :
% 177.99/178.16 ( class_Groups_Ogroup__add(T_a)
% 177.99/178.16 => 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 ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_square__eq__iff,axiom,
% 177.99/178.16 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.16 ( class_Rings_Oidom(T_b)
% 177.99/178.16 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_b_2)
% 177.99/178.16 <=> ( V_a_2 = V_b_2
% 177.99/178.16 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_minus__mult__minus,axiom,
% 177.99/178.16 ! [V_b,V_a,T_a] :
% 177.99/178.16 ( class_Rings_Oring(T_a)
% 177.99/178.16 => 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) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_minus__mult__commute,axiom,
% 177.99/178.16 ! [V_b,V_a,T_a] :
% 177.99/178.16 ( class_Rings_Oring(T_a)
% 177.99/178.16 => 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)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_minus__mult__left,axiom,
% 177.99/178.16 ! [V_b,V_a,T_a] :
% 177.99/178.16 ( class_Rings_Oring(T_a)
% 177.99/178.16 => 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) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_minus__mult__right,axiom,
% 177.99/178.16 ! [V_b,V_a,T_a] :
% 177.99/178.16 ( class_Rings_Oring(T_a)
% 177.99/178.16 => 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)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_minus__diff__eq,axiom,
% 177.99/178.16 ! [V_b,V_a,T_a] :
% 177.99/178.16 ( class_Groups_Oab__group__add(T_a)
% 177.99/178.16 => 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) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_rel__simps_I31_J,axiom,
% 177.99/178.16 ! [V_l_2,V_k_2] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_less__eq__int__code_I13_J,axiom,
% 177.99/178.16 ! [V_k2_2,V_k1_2] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_less__int__code_I13_J,axiom,
% 177.99/178.16 ! [V_k2_2,V_k1_2] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_rel__simps_I14_J,axiom,
% 177.99/178.16 ! [V_l_2,V_k_2] :
% 177.99/178.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_zminus__0,axiom,
% 177.99/178.16 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) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Bit0__Pls,axiom,
% 177.99/178.16 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 177.99/178.16
% 177.99/178.16 fof(fact_rel__simps_I38_J,axiom,
% 177.99/178.16 ! [V_l_2] :
% 177.99/178.16 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 177.99/178.16 <=> c_Int_OPls = V_l_2 ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_rel__simps_I44_J,axiom,
% 177.99/178.16 ! [V_k_2] :
% 177.99/178.16 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 177.99/178.16 <=> V_k_2 = c_Int_OPls ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_rel__simps_I49_J,axiom,
% 177.99/178.16 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_rel__simps_I50_J,axiom,
% 177.99/178.16 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_Bit0__def,axiom,
% 177.99/178.16 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_add__Bit0__Bit0,axiom,
% 177.99/178.16 ! [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)) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_minus__divide__right,axiom,
% 177.99/178.16 ! [V_b,V_a,T_a] :
% 177.99/178.16 ( class_Fields_Ofield__inverse__zero(T_a)
% 177.99/178.16 => 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)) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_minus__divide__divide,axiom,
% 177.99/178.16 ! [V_b,V_a,T_a] :
% 177.99/178.16 ( class_Fields_Ofield__inverse__zero(T_a)
% 177.99/178.16 => 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) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_minus__divide__left,axiom,
% 177.99/178.16 ! [V_b,V_a,T_a] :
% 177.99/178.16 ( class_Rings_Odivision__ring(T_a)
% 177.99/178.16 => 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) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_mult__Bit0,axiom,
% 177.99/178.16 ! [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)) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_abs__minus__cancel,axiom,
% 177.99/178.16 ! [V_a,T_a] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 177.99/178.16 => 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) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_minus__Pls,axiom,
% 177.99/178.16 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 177.99/178.16
% 177.99/178.16 fof(fact_zminus__zadd__distrib,axiom,
% 177.99/178.16 ! [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)) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_minus__numeral__code_I5_J,axiom,
% 177.99/178.16 ! [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)) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_diff__bin__simps_I7_J,axiom,
% 177.99/178.16 ! [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)) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_zmult__zminus,axiom,
% 177.99/178.16 ! [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)) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_minus__le__self__iff,axiom,
% 177.99/178.16 ! [V_a_2,T_b] :
% 177.99/178.16 ( class_Groups_Olinordered__ab__group__add(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_neg__le__0__iff__le,axiom,
% 177.99/178.16 ! [V_a_2,T_b] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_le__minus__self__iff,axiom,
% 177.99/178.16 ! [V_a_2,T_b] :
% 177.99/178.16 ( class_Groups_Olinordered__ab__group__add(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_neg__0__le__iff__le,axiom,
% 177.99/178.16 ! [V_a_2,T_b] :
% 177.99/178.16 ( class_Groups_Oordered__ab__group__add(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 177.99/178.16
% 177.99/178.16 fof(fact_less__minus__self__iff,axiom,
% 177.99/178.16 ! [V_a_2,T_b] :
% 177.99/178.16 ( class_Rings_Olinordered__idom(T_b)
% 177.99/178.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 177.99/178.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 177.99/178.16
% 177.99/178.17 fof(fact_neg__less__nonneg,axiom,
% 177.99/178.17 ! [V_a_2,T_b] :
% 177.99/178.17 ( class_Groups_Olinordered__ab__group__add(T_b)
% 177.99/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 177.99/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_neg__less__0__iff__less,axiom,
% 177.99/178.17 ! [V_a_2,T_b] :
% 177.99/178.17 ( class_Groups_Oordered__ab__group__add(T_b)
% 177.99/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 177.99/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_neg__0__less__iff__less,axiom,
% 177.99/178.17 ! [V_a_2,T_b] :
% 177.99/178.17 ( class_Groups_Oordered__ab__group__add(T_b)
% 177.99/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 177.99/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_right__minus,axiom,
% 177.99/178.17 ! [V_a,T_a] :
% 177.99/178.17 ( class_Groups_Ogroup__add(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 177.99/178.17 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.17 ( class_Groups_Ogroup__add(T_b)
% 177.99/178.17 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 177.99/178.17 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_left__minus,axiom,
% 177.99/178.17 ! [V_a,T_a] :
% 177.99/178.17 ( class_Groups_Ogroup__add(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_ab__left__minus,axiom,
% 177.99/178.17 ! [V_a,T_a] :
% 177.99/178.17 ( class_Groups_Oab__group__add(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_minus__unique,axiom,
% 177.99/178.17 ! [V_b,V_a,T_a] :
% 177.99/178.17 ( class_Groups_Ogroup__add(T_a)
% 177.99/178.17 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.17 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_diff__0,axiom,
% 177.99/178.17 ! [V_a,T_a] :
% 177.99/178.17 ( class_Groups_Ogroup__add(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 177.99/178.17 ! [V_y,V_x,T_a] :
% 177.99/178.17 ( class_Rings_Ocomm__ring__1(T_a)
% 177.99/178.17 => 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)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_diff__def,axiom,
% 177.99/178.17 ! [V_b,V_a,T_a] :
% 177.99/178.17 ( class_Groups_Ogroup__add(T_a)
% 177.99/178.17 => 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)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_ab__diff__minus,axiom,
% 177.99/178.17 ! [V_b,V_a,T_a] :
% 177.99/178.17 ( class_Groups_Oab__group__add(T_a)
% 177.99/178.17 => 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)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_diff__minus__eq__add,axiom,
% 177.99/178.17 ! [V_b,V_a,T_a] :
% 177.99/178.17 ( class_Groups_Ogroup__add(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 177.99/178.17 ! [V_x,T_a] :
% 177.99/178.17 ( class_Rings_Ocomm__ring__1(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_square__eq__1__iff,axiom,
% 177.99/178.17 ! [V_x_2,T_b] :
% 177.99/178.17 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 177.99/178.17 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 177.99/178.17 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b)
% 177.99/178.17 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_compl__inf__bot,axiom,
% 177.99/178.17 ! [V_x,T_a] :
% 177.99/178.17 ( class_Lattices_Oboolean__algebra(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_inf__compl__bot,axiom,
% 177.99/178.17 ! [V_x,T_a] :
% 177.99/178.17 ( class_Lattices_Oboolean__algebra(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_diff__eq,axiom,
% 177.99/178.17 ! [V_y,V_x,T_a] :
% 177.99/178.17 ( class_Lattices_Oboolean__algebra(T_a)
% 177.99/178.17 => 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)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_compl__sup,axiom,
% 177.99/178.17 ! [V_y,V_x,T_a] :
% 177.99/178.17 ( class_Lattices_Oboolean__algebra(T_a)
% 177.99/178.17 => 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)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_compl__inf,axiom,
% 177.99/178.17 ! [V_y,V_x,T_a] :
% 177.99/178.17 ( class_Lattices_Oboolean__algebra(T_a)
% 177.99/178.17 => 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)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_nonzero__minus__divide__right,axiom,
% 177.99/178.17 ! [V_a,V_b,T_a] :
% 177.99/178.17 ( class_Rings_Odivision__ring(T_a)
% 177.99/178.17 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.17 => 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)) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_nonzero__minus__divide__divide,axiom,
% 177.99/178.17 ! [V_a,V_b,T_a] :
% 177.99/178.17 ( class_Rings_Odivision__ring(T_a)
% 177.99/178.17 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 177.99/178.17 => 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) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_abs__ge__minus__self,axiom,
% 177.99/178.17 ! [V_a,T_a] :
% 177.99/178.17 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 177.99/178.17 => 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))) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_abs__le__iff,axiom,
% 177.99/178.17 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.17 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 177.99/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 177.99/178.17 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 177.99/178.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_abs__leI,axiom,
% 177.99/178.17 ! [V_b,V_a,T_a] :
% 177.99/178.17 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 177.99/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 177.99/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 177.99/178.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_abs__le__D2,axiom,
% 177.99/178.17 ! [V_b,V_a,T_a] :
% 177.99/178.17 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 177.99/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 177.99/178.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_abs__less__iff,axiom,
% 177.99/178.17 ! [V_b_2,V_a_2,T_b] :
% 177.99/178.17 ( class_Rings_Olinordered__idom(T_b)
% 177.99/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 177.99/178.17 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 177.99/178.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_bin__less__0__simps_I3_J,axiom,
% 177.99/178.17 ! [V_w_2] :
% 177.99/178.17 ( 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)))
% 177.99/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_rel__simps_I27_J,axiom,
% 177.99/178.17 ! [V_k_2] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 177.99/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_rel__simps_I21_J,axiom,
% 177.99/178.17 ! [V_k_2] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 177.99/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_less__eq__int__code_I14_J,axiom,
% 177.99/178.17 ! [V_k2_2,V_k1_2] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 177.99/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_rel__simps_I32_J,axiom,
% 177.99/178.17 ! [V_l_2,V_k_2] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 177.99/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_rel__simps_I4_J,axiom,
% 177.99/178.17 ! [V_k_2] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 177.99/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_rel__simps_I10_J,axiom,
% 177.99/178.17 ! [V_k_2] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 177.99/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_rel__simps_I16_J,axiom,
% 177.99/178.17 ! [V_l_2,V_k_2] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 177.99/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_less__int__code_I15_J,axiom,
% 177.99/178.17 ! [V_k2_2,V_k1_2] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 177.99/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_add__Bit1__Bit0,axiom,
% 177.99/178.17 ! [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)) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_add__Bit0__Bit1,axiom,
% 177.99/178.17 ! [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)) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zadd__zminus__inverse2,axiom,
% 177.99/178.17 ! [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) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_negative__eq__positive,axiom,
% 177.99/178.17 ! [V_m_2,V_n_2] :
% 177.99/178.17 ( 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)
% 177.99/178.17 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 177.99/178.17 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_diff__bin__simps_I3_J,axiom,
% 177.99/178.17 ! [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)) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_diff__bin__simps_I9_J,axiom,
% 177.99/178.17 ! [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)) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_diff__bin__simps_I10_J,axiom,
% 177.99/178.17 ! [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)) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_not__int__zless__negative,axiom,
% 177.99/178.17 ! [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)))) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_diff__int__def,axiom,
% 177.99/178.17 ! [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)) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_diff__int__def__symmetric,axiom,
% 177.99/178.17 ! [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) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_Ints__minus,axiom,
% 177.99/178.17 ! [V_a_2,T_b] :
% 177.99/178.17 ( class_Rings_Oring__1(T_b)
% 177.99/178.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 177.99/178.17 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_neg__number__of__Bit0,axiom,
% 177.99/178.17 ! [V_w_2] :
% 177.99/178.17 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 177.99/178.17 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_pred__Bit0,axiom,
% 177.99/178.17 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_pred__Bit1,axiom,
% 177.99/178.17 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_minus__Bit1,axiom,
% 177.99/178.17 ! [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))) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_succ__Bit1,axiom,
% 177.99/178.17 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_succ__Bit0,axiom,
% 177.99/178.17 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_number__of__Bit0,axiom,
% 177.99/178.17 ! [V_w,T_a] :
% 177.99/178.17 ( class_Int_Onumber__ring(T_a)
% 177.99/178.17 => 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)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_abs__minus__le__zero,axiom,
% 177.99/178.17 ! [V_a,T_a] :
% 177.99/178.17 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 177.99/178.17 => 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))) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_abs__of__nonpos,axiom,
% 177.99/178.17 ! [V_a,T_a] :
% 177.99/178.17 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 177.99/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.17 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_abs__of__neg,axiom,
% 177.99/178.17 ! [V_a,T_a] :
% 177.99/178.17 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 177.99/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.17 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_abs__if,axiom,
% 177.99/178.17 ! [V_a,T_a] :
% 177.99/178.17 ( class_Groups_Oabs__if(T_a)
% 177.99/178.17 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.17 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 177.99/178.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 177.99/178.17 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_less__eq__int__code_I15_J,axiom,
% 177.99/178.17 ! [V_k2_2,V_k1_2] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 177.99/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_rel__simps_I33_J,axiom,
% 177.99/178.17 ! [V_l_2,V_k_2] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 177.99/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_less__int__code_I14_J,axiom,
% 177.99/178.17 ! [V_k2_2,V_k1_2] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 177.99/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_rel__simps_I15_J,axiom,
% 177.99/178.17 ! [V_l_2,V_k_2] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 177.99/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_diff__number__of__eq,axiom,
% 177.99/178.17 ! [V_w,V_v,T_a] :
% 177.99/178.17 ( class_Int_Onumber__ring(T_a)
% 177.99/178.17 => 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))) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mult__Bit1,axiom,
% 177.99/178.17 ! [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) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_int__zle__neg,axiom,
% 177.99/178.17 ! [V_m_2,V_n_2] :
% 177.99/178.17 ( 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))))
% 177.99/178.17 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 177.99/178.17 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_negative__zle__0,axiom,
% 177.99/178.17 ! [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))) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_minus__numeral__code_I6_J,axiom,
% 177.99/178.17 ! [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))) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zabs__def,axiom,
% 177.99/178.17 ! [V_i] :
% 177.99/178.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 177.99/178.17 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 177.99/178.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 177.99/178.17 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_neg__zminus__int,axiom,
% 177.99/178.17 ! [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))))) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_diff__bin__simps_I8_J,axiom,
% 177.99/178.17 ! [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)) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_add__Bit1__Bit1,axiom,
% 177.99/178.17 ! [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))) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zero__code__numeral__code,axiom,
% 177.99/178.17 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) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_double__number__of__Bit0,axiom,
% 177.99/178.17 ! [V_w,T_a] :
% 177.99/178.17 ( class_Int_Onumber__ring(T_a)
% 177.99/178.17 => 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)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_abs__number__of,axiom,
% 177.99/178.17 ! [V_x,T_a] :
% 177.99/178.17 ( ( class_Int_Onumber__ring(T_a)
% 177.99/178.17 & class_Rings_Olinordered__idom(T_a) )
% 177.99/178.17 => ( ( 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)))
% 177.99/178.17 => 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)) )
% 177.99/178.17 & ( ~ 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)))
% 177.99/178.17 => 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) ) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_add__number__of__diff2,axiom,
% 177.99/178.17 ! [V_w,V_c,V_v,T_a] :
% 177.99/178.17 ( class_Int_Onumber__ring(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_number__of1,axiom,
% 177.99/178.17 ! [V_n] :
% 177.99/178.17 ( 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)))
% 177.99/178.17 => ( 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))))
% 177.99/178.17 & 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)))) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_number__of__pred,axiom,
% 177.99/178.17 ! [V_w,T_a] :
% 177.99/178.17 ( class_Int_Onumber__ring(T_a)
% 177.99/178.17 => 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)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_not__zle__0__negative,axiom,
% 177.99/178.17 ! [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))))) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_negative__zless__0,axiom,
% 177.99/178.17 ! [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))) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mult__2__right,axiom,
% 177.99/178.17 ! [V_z,T_a] :
% 177.99/178.17 ( class_Int_Onumber__ring(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mult__2,axiom,
% 177.99/178.17 ! [V_z,T_a] :
% 177.99/178.17 ( class_Int_Onumber__ring(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_one__add__one__is__two,axiom,
% 177.99/178.17 ! [T_a] :
% 177.99/178.17 ( class_Int_Onumber__ring(T_a)
% 177.99/178.17 => 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))) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_numeral__2__eq__2,axiom,
% 177.99/178.17 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))) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_semiring__norm_I115_J,axiom,
% 177.99/178.17 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))) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 177.99/178.17 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))))) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_add__2__eq__Suc,axiom,
% 177.99/178.17 ! [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)) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_add__2__eq__Suc_H,axiom,
% 177.99/178.17 ! [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)) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_nat__mult__2__right,axiom,
% 177.99/178.17 ! [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) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_nat__mult__2,axiom,
% 177.99/178.17 ! [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) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 177.99/178.17 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)))) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_nat__1__add__1,axiom,
% 177.99/178.17 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))) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_eq__special_I4_J,axiom,
% 177.99/178.17 ! [V_x_2,T_b] :
% 177.99/178.17 ( class_Int_Onumber__ring(T_b)
% 177.99/178.17 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 177.99/178.17 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls))))) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_eq__special_I2_J,axiom,
% 177.99/178.17 ! [V_y_2,T_b] :
% 177.99/178.17 ( class_Int_Onumber__ring(T_b)
% 177.99/178.17 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 177.99/178.17 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_neg__zmod__mult__2,axiom,
% 177.99/178.17 ! [V_b,V_a] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 177.99/178.17 => 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)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zmod__number__of__Bit1,axiom,
% 177.99/178.17 ! [V_v,V_w] :
% 177.99/178.17 ( ( 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)))
% 177.99/178.17 => 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)) )
% 177.99/178.17 & ( ~ 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)))
% 177.99/178.17 => 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)) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_pos__zmod__mult__2,axiom,
% 177.99/178.17 ! [V_b,V_a] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 177.99/178.17 => 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))) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_neg__zdiv__mult__2,axiom,
% 177.99/178.17 ! [V_b,V_a] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_ComplI,axiom,
% 177.99/178.17 ! [V_A_2,V_c_2,T_b] :
% 177.99/178.17 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 177.99/178.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zdiv__zadd1__eq,axiom,
% 177.99/178.17 ! [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)) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__mod__trivial,axiom,
% 177.99/178.17 ! [V_b,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zmod__zdiv__trivial,axiom,
% 177.99/178.17 ! [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) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__div__trivial,axiom,
% 177.99/178.17 ! [V_b,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_DIVISION__BY__ZERO,axiom,
% 177.99/178.17 ! [V_a] :
% 177.99/178.17 ( 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)
% 177.99/178.17 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_div__mod__equality,axiom,
% 177.99/178.17 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_div__mod__equality2,axiom,
% 177.99/178.17 ! [V_c,V_a,V_b,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__div__equality,axiom,
% 177.99/178.17 ! [V_b,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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 ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__div__equality2,axiom,
% 177.99/178.17 ! [V_a,V_b,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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 ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 177.99/178.17 ! [V_b,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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 ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zdiv__zmod__equality2,axiom,
% 177.99/178.17 ! [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) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zdiv__zmod__equality,axiom,
% 177.99/178.17 ! [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) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zdiv__zmult1__eq,axiom,
% 177.99/178.17 ! [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)) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zmod__zdiv__equality,axiom,
% 177.99/178.17 ! [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)) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zmod__zdiv__equality_H,axiom,
% 177.99/178.17 ! [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)) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zmult__div__cancel,axiom,
% 177.99/178.17 ! [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)) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__0,axiom,
% 177.99/178.17 ! [V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__by__0,axiom,
% 177.99/178.17 ! [V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__self,axiom,
% 177.99/178.17 ! [V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__add__self2,axiom,
% 177.99/178.17 ! [V_b,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__add__self1,axiom,
% 177.99/178.17 ! [V_a,V_b,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__add__right__eq,axiom,
% 177.99/178.17 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__add__left__eq,axiom,
% 177.99/178.17 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__add__eq,axiom,
% 177.99/178.17 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zmod__simps_I2_J,axiom,
% 177.99/178.17 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zmod__simps_I1_J,axiom,
% 177.99/178.17 ! [V_b,V_c,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__add__cong,axiom,
% 177.99/178.17 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 177.99/178.17 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 177.99/178.17 => 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) ) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__mult__cong,axiom,
% 177.99/178.17 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 177.99/178.17 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 177.99/178.17 => 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) ) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zmod__simps_I4_J,axiom,
% 177.99/178.17 ! [V_b,V_c,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__mult__mult2,axiom,
% 177.99/178.17 ! [V_b,V_c,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__mult__mult1,axiom,
% 177.99/178.17 ! [V_b,V_a,V_c,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__mult__eq,axiom,
% 177.99/178.17 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__mult__left__eq,axiom,
% 177.99/178.17 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__mult__right__eq,axiom,
% 177.99/178.17 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__diff__right__eq,axiom,
% 177.99/178.17 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Oring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__diff__left__eq,axiom,
% 177.99/178.17 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Oring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__diff__eq,axiom,
% 177.99/178.17 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Oring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__diff__cong,axiom,
% 177.99/178.17 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Oring__div(T_a)
% 177.99/178.17 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 177.99/178.17 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 177.99/178.17 => 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) ) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__minus__cong,axiom,
% 177.99/178.17 ! [V_a_H,V_b,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Oring__div(T_a)
% 177.99/178.17 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 177.99/178.17 => 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) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__minus__eq,axiom,
% 177.99/178.17 ! [V_b,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Oring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_ComplE,axiom,
% 177.99/178.17 ! [V_A_2,V_c_2,T_b] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 177.99/178.17 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_ComplD,axiom,
% 177.99/178.17 ! [V_A_2,V_c_2,T_b] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 177.99/178.17 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_Compl__iff,axiom,
% 177.99/178.17 ! [V_A_2,V_c_2,T_b] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 177.99/178.17 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zdiv__zero,axiom,
% 177.99/178.17 ! [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) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zmod__zero,axiom,
% 177.99/178.17 ! [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) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zmod__self,axiom,
% 177.99/178.17 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_Compl__anti__mono,axiom,
% 177.99/178.17 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 177.99/178.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_Compl__subset__Compl__iff,axiom,
% 177.99/178.17 ! [V_B_2,V_A_2,T_b] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)))
% 177.99/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zdiv__zminus__zminus,axiom,
% 177.99/178.17 ! [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) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zdiv__zminus2,axiom,
% 177.99/178.17 ! [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) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zmod__simps_I3_J,axiom,
% 177.99/178.17 ! [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) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zmod__zmult1__eq,axiom,
% 177.99/178.17 ! [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) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zdiff__zmod__right,axiom,
% 177.99/178.17 ! [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) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zdiff__zmod__left,axiom,
% 177.99/178.17 ! [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) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zminus__zmod,axiom,
% 177.99/178.17 ! [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) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zmod__zminus__zminus,axiom,
% 177.99/178.17 ! [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)) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zmod__zminus2,axiom,
% 177.99/178.17 ! [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)) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_div__0,axiom,
% 177.99/178.17 ! [V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_div__by__0,axiom,
% 177.99/178.17 ! [V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_div__by__1,axiom,
% 177.99/178.17 ! [V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__mult__self2__is__0,axiom,
% 177.99/178.17 ! [V_b,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__mult__self1__is__0,axiom,
% 177.99/178.17 ! [V_a,V_b,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zmod__zmult2__eq,axiom,
% 177.99/178.17 ! [V_b,V_a,V_c] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 177.99/178.17 => 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)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__mult__self1,axiom,
% 177.99/178.17 ! [V_b,V_c,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__mult__self2,axiom,
% 177.99/178.17 ! [V_c,V_b,V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => 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) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_mod__by__1,axiom,
% 177.99/178.17 ! [V_a,T_a] :
% 177.99/178.17 ( class_Divides_Osemiring__div(T_a)
% 177.99/178.17 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zdiv__zminus1__eq__if,axiom,
% 177.99/178.17 ! [V_a,V_b] :
% 177.99/178.17 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 177.99/178.17 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 177.99/178.17 => 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)) )
% 177.99/178.17 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 177.99/178.17 => 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)) ) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zdiv__zminus2__eq__if,axiom,
% 177.99/178.17 ! [V_a,V_b] :
% 177.99/178.17 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 177.99/178.17 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 177.99/178.17 => 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)) )
% 177.99/178.17 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 177.99/178.17 => 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)) ) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_iszero__0,axiom,
% 177.99/178.17 ! [T_a] :
% 177.99/178.17 ( class_Rings_Osemiring__1(T_a)
% 177.99/178.17 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_iszero__def,axiom,
% 177.99/178.17 ! [V_z_2,T_b] :
% 177.99/178.17 ( class_Rings_Osemiring__1(T_b)
% 177.99/178.17 => ( c_Int_Oiszero(T_b,V_z_2)
% 177.99/178.17 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 177.99/178.17 ! [V_y,V_x] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 177.99/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 177.99/178.17 => 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))) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_not__iszero__1,axiom,
% 177.99/178.17 ! [T_a] :
% 177.99/178.17 ( class_Rings_Osemiring__1(T_a)
% 177.99/178.17 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 177.99/178.17 ! [V_a_2,V_b_2] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 177.99/178.17 => ( 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)))
% 177.99/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 177.99/178.17 ! [V_a_2,V_b_2] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 177.99/178.17 => ( 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)))
% 177.99/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_div__neg__pos__less0,axiom,
% 177.99/178.17 ! [V_b,V_a] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 177.99/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 177.99/178.17 => 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))) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zdiv__self,axiom,
% 177.99/178.17 ! [V_a] :
% 177.99/178.17 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 177.99/178.17 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_subset__Compl__self__eq,axiom,
% 177.99/178.17 ! [V_A_2,T_b] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 177.99/178.17 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 177.99/178.17 ! [V_y,V_x] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 177.99/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 177.99/178.17 => 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))) ) ) ).
% 177.99/178.17
% 177.99/178.17 fof(fact_zmod__le__nonneg__dividend,axiom,
% 177.99/178.17 ! [V_k,V_m] :
% 177.99/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 177.99/178.17 => 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)) ) ).
% 177.99/178.17
% 178.32/178.17 fof(fact_pos__mod__bound,axiom,
% 178.32/178.17 ! [V_a,V_b] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 178.32/178.17 => 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)) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_neg__mod__bound,axiom,
% 178.32/178.17 ! [V_a,V_b] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.17 => 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))) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Compl__disjoint,axiom,
% 178.32/178.17 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Compl__disjoint2,axiom,
% 178.32/178.17 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zdiv__number__of__Bit0,axiom,
% 178.32/178.17 ! [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)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zmod__eq__0__iff,axiom,
% 178.32/178.17 ! [V_d_2,V_m_2] :
% 178.32/178.17 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.17 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Compl__Un,axiom,
% 178.32/178.17 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Compl__Int,axiom,
% 178.32/178.17 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zmod__zminus1__not__zero,axiom,
% 178.32/178.17 ! [V_l,V_k] :
% 178.32/178.17 ( 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)
% 178.32/178.17 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zmod__zminus2__not__zero,axiom,
% 178.32/178.17 ! [V_l,V_k] :
% 178.32/178.17 ( 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)
% 178.32/178.17 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Compl__Diff__eq,axiom,
% 178.32/178.17 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Diff__Compl,axiom,
% 178.32/178.17 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Diff__eq,axiom,
% 178.32/178.17 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__mult__mult1__if,axiom,
% 178.32/178.17 ! [V_b,V_a,V_c,T_a] :
% 178.32/178.17 ( class_Divides_Osemiring__div(T_a)
% 178.32/178.17 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 178.32/178.17 => 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) )
% 178.32/178.17 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 178.32/178.17 => 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) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__mult__self2__is__id,axiom,
% 178.32/178.17 ! [V_a,V_b,T_a] :
% 178.32/178.17 ( class_Divides_Osemiring__div(T_a)
% 178.32/178.17 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 178.32/178.17 => 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 ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__mult__self1__is__id,axiom,
% 178.32/178.17 ! [V_a,V_b,T_a] :
% 178.32/178.17 ( class_Divides_Osemiring__div(T_a)
% 178.32/178.17 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 178.32/178.17 => 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 ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__mult__mult2,axiom,
% 178.32/178.17 ! [V_b,V_a,V_c,T_a] :
% 178.32/178.17 ( class_Divides_Osemiring__div(T_a)
% 178.32/178.17 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 178.32/178.17 => 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) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__mult__mult1,axiom,
% 178.32/178.17 ! [V_b,V_a,V_c,T_a] :
% 178.32/178.17 ( class_Divides_Osemiring__div(T_a)
% 178.32/178.17 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 178.32/178.17 => 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) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__self,axiom,
% 178.32/178.17 ! [V_a,T_a] :
% 178.32/178.17 ( class_Divides_Osemiring__div(T_a)
% 178.32/178.17 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 178.32/178.17 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_split__neg__lemma,axiom,
% 178.32/178.17 ! [V_n_2,V_Pa_2,V_k_2] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(V_Pa_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)))
% 178.32/178.17 <=> ! [B_i,B_j] :
% 178.32/178.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 178.32/178.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.17 & 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) )
% 178.32/178.17 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_split__pos__lemma,axiom,
% 178.32/178.17 ! [V_n_2,V_Pa_2,V_k_2] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(V_Pa_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)))
% 178.32/178.17 <=> ! [B_i,B_j] :
% 178.32/178.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 178.32/178.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 178.32/178.17 & 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) )
% 178.32/178.17 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zdiv__mono1__neg,axiom,
% 178.32/178.17 ! [V_b,V_a_H,V_a] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.17 => 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))) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zdiv__mono1,axiom,
% 178.32/178.17 ! [V_b,V_a_H,V_a] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 178.32/178.17 => 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))) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__neg__neg__trivial,axiom,
% 178.32/178.17 ! [V_b,V_a] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 178.32/178.17 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zdiv__mono2__neg,axiom,
% 178.32/178.17 ! [V_b,V_b_H,V_a] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 178.32/178.17 => 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))) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__nonpos__pos__le0,axiom,
% 178.32/178.17 ! [V_b,V_a] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 178.32/178.17 => 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))) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 178.32/178.17 ! [V_a_2,V_b_2] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.17 => ( 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)))
% 178.32/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__pos__pos__trivial,axiom,
% 178.32/178.17 ! [V_b,V_a] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 178.32/178.17 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__nonneg__neg__le0,axiom,
% 178.32/178.17 ! [V_b,V_a] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.17 => 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))) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zdiv__mono2,axiom,
% 178.32/178.17 ! [V_b,V_b_H,V_a] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 178.32/178.17 => 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))) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 178.32/178.17 ! [V_b_2,V_a_2] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 178.32/178.17 => ( 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)))
% 178.32/178.17 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2))
% 178.32/178.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 178.32/178.17 ! [V_i_2,V_k_2] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 178.32/178.17 => ( 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)))
% 178.32/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 178.32/178.17 ! [V_a_2,V_b_2] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 178.32/178.17 => ( 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)))
% 178.32/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zdiv__eq__0__iff,axiom,
% 178.32/178.17 ! [V_k_2,V_i_2] :
% 178.32/178.17 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.17 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.17 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 178.32/178.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 178.32/178.17 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_int__div__less__self,axiom,
% 178.32/178.17 ! [V_k,V_x] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 178.32/178.17 => 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)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zdiv__zmult2__eq,axiom,
% 178.32/178.17 ! [V_b,V_a,V_c] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 178.32/178.17 => 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) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_mod__neg__neg__trivial,axiom,
% 178.32/178.17 ! [V_b,V_a] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 178.32/178.17 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_neg__mod__conj,axiom,
% 178.32/178.17 ! [V_a,V_b] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.17 => ( 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)))
% 178.32/178.17 & 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))) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_neg__mod__sign,axiom,
% 178.32/178.17 ! [V_a,V_b] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.17 => 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))) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_mod__pos__pos__trivial,axiom,
% 178.32/178.17 ! [V_b,V_a] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 178.32/178.17 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_pos__mod__conj,axiom,
% 178.32/178.17 ! [V_a,V_b] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 178.32/178.17 => ( 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)))
% 178.32/178.17 & 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)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_pos__mod__sign,axiom,
% 178.32/178.17 ! [V_a,V_b] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 178.32/178.17 => 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))) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_disjoint__eq__subset__Compl,axiom,
% 178.32/178.17 ! [V_B_2,V_A_2,T_b] :
% 178.32/178.17 ( 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))
% 178.32/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zmod__zminus2__eq__if,axiom,
% 178.32/178.17 ! [V_b,V_a] :
% 178.32/178.17 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.17 => 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) )
% 178.32/178.17 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.17 => 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) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zmod__zminus1__eq__if,axiom,
% 178.32/178.17 ! [V_b,V_a] :
% 178.32/178.17 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.17 => 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) )
% 178.32/178.17 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.17 => 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)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__mult__self1,axiom,
% 178.32/178.17 ! [V_c,V_a,V_b,T_a] :
% 178.32/178.17 ( class_Divides_Osemiring__div(T_a)
% 178.32/178.17 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 178.32/178.17 => 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)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__mult__self2,axiom,
% 178.32/178.17 ! [V_c,V_a,V_b,T_a] :
% 178.32/178.17 ( class_Divides_Osemiring__div(T_a)
% 178.32/178.17 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 178.32/178.17 => 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)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__add__self2,axiom,
% 178.32/178.17 ! [V_a,V_b,T_a] :
% 178.32/178.17 ( class_Divides_Osemiring__div(T_a)
% 178.32/178.17 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 178.32/178.17 => 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)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__add__self1,axiom,
% 178.32/178.17 ! [V_a,V_b,T_a] :
% 178.32/178.17 ( class_Divides_Osemiring__div(T_a)
% 178.32/178.17 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 178.32/178.17 => 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)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_iszero__Numeral0,axiom,
% 178.32/178.17 ! [T_a] :
% 178.32/178.17 ( class_Int_Onumber__ring(T_a)
% 178.32/178.17 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_iszero__number__of__Bit1,axiom,
% 178.32/178.17 ! [V_w,T_a] :
% 178.32/178.17 ( ( class_Int_Onumber__ring(T_a)
% 178.32/178.17 & class_Int_Oring__char__0(T_a) )
% 178.32/178.17 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_iszero__number__of__Bit0,axiom,
% 178.32/178.17 ! [V_w_2,T_b] :
% 178.32/178.17 ( ( class_Int_Onumber__ring(T_b)
% 178.32/178.17 & class_Int_Oring__char__0(T_b) )
% 178.32/178.17 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2)))
% 178.32/178.17 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_mod__pos__neg__trivial,axiom,
% 178.32/178.17 ! [V_b,V_a] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 178.32/178.17 => ( 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)))
% 178.32/178.17 => 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) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_divmod__int__rel__div__eq,axiom,
% 178.32/178.17 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 178.32/178.17 ( 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)
% 178.32/178.17 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 178.32/178.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 178.32/178.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 178.32/178.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 178.32/178.17 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.17 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_split__zdiv,axiom,
% 178.32/178.17 ! [V_k_2,V_n_2,V_Pa_2] :
% 178.32/178.17 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)))
% 178.32/178.17 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.17 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 178.32/178.17 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 178.32/178.17 => ! [B_i] :
% 178.32/178.17 ( ? [B_j] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 178.32/178.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 178.32/178.17 & 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) )
% 178.32/178.17 => hBOOL(hAPP(V_Pa_2,B_i)) ) )
% 178.32/178.17 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.17 => ! [B_i] :
% 178.32/178.17 ( ? [B_j] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 178.32/178.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.17 & 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) )
% 178.32/178.17 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_divmod__int__rel__mod__eq,axiom,
% 178.32/178.17 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 178.32/178.17 ( 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)
% 178.32/178.17 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 178.32/178.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 178.32/178.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 178.32/178.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 178.32/178.17 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.17 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zmult2__lemma__aux2,axiom,
% 178.32/178.17 ! [V_q,V_r,V_b,V_c] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.17 => 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))) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zmult2__lemma__aux1,axiom,
% 178.32/178.17 ! [V_q,V_r,V_b,V_c] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.17 => 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))) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zmult2__lemma__aux4,axiom,
% 178.32/178.17 ! [V_q,V_b,V_r,V_c] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 178.32/178.17 => 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))) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zmult2__lemma__aux3,axiom,
% 178.32/178.17 ! [V_q,V_b,V_r,V_c] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 178.32/178.17 => 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))) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_split__zmod,axiom,
% 178.32/178.17 ! [V_k_2,V_n_2,V_Pa_2] :
% 178.32/178.17 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 178.32/178.17 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.17 => hBOOL(hAPP(V_Pa_2,V_n_2)) )
% 178.32/178.17 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 178.32/178.17 => ! [B_i,B_j] :
% 178.32/178.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 178.32/178.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 178.32/178.17 & 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) )
% 178.32/178.17 => hBOOL(hAPP(V_Pa_2,B_j)) ) )
% 178.32/178.17 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.17 => ! [B_i,B_j] :
% 178.32/178.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 178.32/178.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.17 & 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) )
% 178.32/178.17 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zmod__number__of__Bit0,axiom,
% 178.32/178.17 ! [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))) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_not__iszero__Numeral1,axiom,
% 178.32/178.17 ! [T_a] :
% 178.32/178.17 ( class_Int_Onumber__ring(T_a)
% 178.32/178.17 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_eq__number__of__eq,axiom,
% 178.32/178.17 ! [V_y_2,V_x_2,T_b] :
% 178.32/178.17 ( class_Int_Onumber__ring(T_b)
% 178.32/178.17 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 178.32/178.17 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zdiv__number__of__Bit1,axiom,
% 178.32/178.17 ! [V_v,V_w] :
% 178.32/178.17 ( ( 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)))
% 178.32/178.17 => 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)) )
% 178.32/178.17 & ( ~ 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)))
% 178.32/178.17 => 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)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_eq__special_I3_J,axiom,
% 178.32/178.17 ! [V_x_2,T_b] :
% 178.32/178.17 ( class_Int_Onumber__ring(T_b)
% 178.32/178.17 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b)
% 178.32/178.17 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls)))) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_eq__special_I1_J,axiom,
% 178.32/178.17 ! [V_y_2,T_b] :
% 178.32/178.17 ( class_Int_Onumber__ring(T_b)
% 178.32/178.17 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 178.32/178.17 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_pos__zdiv__mult__2,axiom,
% 178.32/178.17 ! [V_b,V_a] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 178.32/178.17 => 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) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__of__aux__code,axiom,
% 178.32/178.17 ! [V_n,V_i] :
% 178.32/178.17 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 178.32/178.17 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 178.32/178.17 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 178.32/178.17 => 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)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_z3div__def,axiom,
% 178.32/178.17 ! [V_k,V_l] :
% 178.32/178.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 178.32/178.17 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 178.32/178.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 178.32/178.17 => 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))) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_z3mod__def,axiom,
% 178.32/178.17 ! [V_k,V_l] :
% 178.32/178.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 178.32/178.17 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 178.32/178.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 178.32/178.17 => 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)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_of__nat__double,axiom,
% 178.32/178.17 ! [V_x,T_a] :
% 178.32/178.17 ( class_Rings_Osemiring__1(T_a)
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 178.32/178.17 => 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))) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_power__minus1__odd,axiom,
% 178.32/178.17 ! [V_n,T_a] :
% 178.32/178.17 ( class_Rings_Oring__1(T_a)
% 178.32/178.17 => 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)) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_odd__power__less__zero,axiom,
% 178.32/178.17 ! [V_n,V_a,T_a] :
% 178.32/178.17 ( class_Rings_Olinordered__idom(T_a)
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 178.32/178.17 => 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))) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_double__complement,axiom,
% 178.32/178.17 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = V_A_2 ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Compl__eq__Compl__iff,axiom,
% 178.32/178.17 ! [V_B_2,V_A_2,T_b] :
% 178.32/178.17 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)
% 178.32/178.17 <=> V_A_2 = V_B_2 ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_mod__mult2__eq,axiom,
% 178.32/178.17 ! [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)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__mult1__eq,axiom,
% 178.32/178.17 ! [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)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__mod__equality_H,axiom,
% 178.32/178.17 ! [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)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_mult__div__cancel,axiom,
% 178.32/178.17 ! [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)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Divides_Omod__div__equality_H,axiom,
% 178.32/178.17 ! [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)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__power__eq,axiom,
% 178.32/178.17 ! [V_n,V_z] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 178.32/178.17 => 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) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__add1__eq,axiom,
% 178.32/178.17 ! [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)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 178.32/178.17 ! [V_n,V_x] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 178.32/178.17 => 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)) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 178.32/178.17 ! [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)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_int__power,axiom,
% 178.32/178.17 ! [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) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zpower__int,axiom,
% 178.32/178.17 ! [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)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 178.32/178.17 ! [V_q,V_y,V_x,T_a] :
% 178.32/178.17 ( class_Rings_Ocomm__semiring__1(T_a)
% 178.32/178.17 => 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)) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__le__dividend,axiom,
% 178.32/178.17 ! [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)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__le__mono,axiom,
% 178.32/178.17 ! [V_k,V_n,V_m] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 178.32/178.17 => 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))) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 178.32/178.17 ! [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) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__mult2__eq,axiom,
% 178.32/178.17 ! [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) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_mod__less,axiom,
% 178.32/178.17 ! [V_n,V_m] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 178.32/178.17 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_mod__less__eq__dividend,axiom,
% 178.32/178.17 ! [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)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_mod__mult__distrib2,axiom,
% 178.32/178.17 ! [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)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_mod__mult__distrib,axiom,
% 178.32/178.17 ! [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)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__int,axiom,
% 178.32/178.17 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 178.32/178.17
% 178.32/178.17 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 178.32/178.17 ! [V_q,V_p,V_x,T_a] :
% 178.32/178.17 ( class_Rings_Ocomm__semiring__1(T_a)
% 178.32/178.17 => 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)) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zpower__zpower,axiom,
% 178.32/178.17 ! [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)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 178.32/178.17 ! [V_x,T_a] :
% 178.32/178.17 ( class_Rings_Ocomm__semiring__1(T_a)
% 178.32/178.17 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zpower__zmod,axiom,
% 178.32/178.17 ! [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) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_power__nat__number__of__number__of,axiom,
% 178.32/178.17 ! [V_w,V_v] :
% 178.32/178.17 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 178.32/178.17 => 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)) )
% 178.32/178.17 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 178.32/178.17 => 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))) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_power__nat__number__of,axiom,
% 178.32/178.17 ! [V_n,V_v] :
% 178.32/178.17 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 178.32/178.17 => 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) )
% 178.32/178.17 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 178.32/178.17 => 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)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 178.32/178.17 ! [V_y,V_x] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 178.32/178.17 => 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)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__div__distrib,axiom,
% 178.32/178.17 ! [V_y,V_x] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 178.32/178.17 => 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)) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 178.32/178.17 ! [V_y,V_x] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 178.32/178.17 => 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)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__mod__distrib,axiom,
% 178.32/178.17 ! [V_y,V_x] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 178.32/178.17 => 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)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__1,axiom,
% 178.32/178.17 ! [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 ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__less,axiom,
% 178.32/178.17 ! [V_n,V_m] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 178.32/178.17 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__mult__div__cancel__disj,axiom,
% 178.32/178.17 ! [V_n,V_m,V_k] :
% 178.32/178.17 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.32/178.17 => 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) )
% 178.32/178.17 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.32/178.17 => 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) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 178.32/178.17 ! [V_q,V_x,T_a] :
% 178.32/178.17 ( class_Rings_Ocomm__semiring__1(T_a)
% 178.32/178.17 => 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)) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 178.32/178.17 ! [V_q,V_x,T_a] :
% 178.32/178.17 ( class_Rings_Ocomm__semiring__1(T_a)
% 178.32/178.17 => 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)) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 178.32/178.17 ! [V_q,V_x,T_a] :
% 178.32/178.17 ( class_Rings_Ocomm__semiring__1(T_a)
% 178.32/178.17 => 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)) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__0,axiom,
% 178.32/178.17 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 178.32/178.17 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_mod__Suc,axiom,
% 178.32/178.17 ! [V_n,V_m] :
% 178.32/178.17 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 178.32/178.17 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 178.32/178.17 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 178.32/178.17 => 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)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_mod__1,axiom,
% 178.32/178.17 ! [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) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_mod__less__divisor,axiom,
% 178.32/178.17 ! [V_m,V_n] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 178.32/178.17 => 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)) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 178.32/178.17 ! [V_x,T_a] :
% 178.32/178.17 ( class_Rings_Ocomm__semiring__1(T_a)
% 178.32/178.17 => 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) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 178.32/178.17 ! [V_q,V_p,V_x,T_a] :
% 178.32/178.17 ( class_Rings_Ocomm__semiring__1(T_a)
% 178.32/178.17 => 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)) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_eq__nat__nat__iff,axiom,
% 178.32/178.17 ! [V_z_H_2,V_z_2] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 178.32/178.17 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 178.32/178.17 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_ex__nat,axiom,
% 178.32/178.17 ! [V_Pa_2] :
% 178.32/178.17 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 178.32/178.17 <=> ? [B_x] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 178.32/178.17 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_all__nat,axiom,
% 178.32/178.17 ! [V_Pa_2] :
% 178.32/178.17 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 178.32/178.17 <=> ! [B_x] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 178.32/178.17 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 178.32/178.17 ! [V_y_2,V_x_2] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 178.32/178.17 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 178.32/178.17 <=> V_x_2 = V_y_2 ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_mod__eq__0__iff,axiom,
% 178.32/178.17 ! [V_d_2,V_m_2] :
% 178.32/178.17 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.32/178.17 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 178.32/178.17 ! [V_n,V_x] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 178.32/178.17 => 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))) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_mod__geq,axiom,
% 178.32/178.17 ! [V_n,V_m] :
% 178.32/178.17 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 178.32/178.17 => 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) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_mod__if,axiom,
% 178.32/178.17 ! [V_n,V_m] :
% 178.32/178.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 178.32/178.17 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 178.32/178.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 178.32/178.17 => 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) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_mod__mult__self3,axiom,
% 178.32/178.17 ! [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) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_le__mod__geq,axiom,
% 178.32/178.17 ! [V_m,V_n] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 178.32/178.17 => 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) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zdiv__int,axiom,
% 178.32/178.17 ! [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)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 178.32/178.17 ! [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)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__number__of,axiom,
% 178.32/178.17 ! [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) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__number__of__def,axiom,
% 178.32/178.17 ! [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)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zpower__zadd__distrib,axiom,
% 178.32/178.17 ! [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)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 178.32/178.17 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zmod__int,axiom,
% 178.32/178.17 ! [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)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 178.32/178.17 ! [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)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_neg__nat,axiom,
% 178.32/178.17 ! [V_z] :
% 178.32/178.17 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 178.32/178.17 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_not__neg__nat,axiom,
% 178.32/178.17 ! [V_z] :
% 178.32/178.17 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 178.32/178.17 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Ints__power,axiom,
% 178.32/178.17 ! [V_n_2,V_a_2,T_b] :
% 178.32/178.17 ( class_Rings_Oring__1(T_b)
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 178.32/178.17 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__nat__number__of,axiom,
% 178.32/178.17 ! [V_v_H,V_v] :
% 178.32/178.17 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 178.32/178.17 => 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) )
% 178.32/178.17 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 178.32/178.17 => 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))) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_mod__nat__number__of,axiom,
% 178.32/178.17 ! [V_v_H,V_v] :
% 178.32/178.17 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 178.32/178.17 => 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) )
% 178.32/178.17 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 178.32/178.17 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 178.32/178.17 => 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) )
% 178.32/178.17 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 178.32/178.17 => 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))) ) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_one__div__nat__number__of,axiom,
% 178.32/178.17 ! [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))) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__le__mono2,axiom,
% 178.32/178.17 ! [V_k,V_n,V_m] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 178.32/178.17 => 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))) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__mult__self1__is__m,axiom,
% 178.32/178.17 ! [V_m,V_n] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 178.32/178.17 => 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 ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__mult__self__is__m,axiom,
% 178.32/178.17 ! [V_m,V_n] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 178.32/178.17 => 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 ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__mult__div__cancel1,axiom,
% 178.32/178.17 ! [V_n,V_m,V_k] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 178.32/178.17 => 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) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__less__dividend,axiom,
% 178.32/178.17 ! [V_m,V_n] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 178.32/178.17 => 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)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__0__iff,axiom,
% 178.32/178.17 ! [V_i_2] :
% 178.32/178.17 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.32/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__le__0,axiom,
% 178.32/178.17 ! [V_z] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.17 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__mono__iff,axiom,
% 178.32/178.17 ! [V_w_2,V_z_2] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 178.32/178.17 => ( 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)))
% 178.32/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zless__nat__conj,axiom,
% 178.32/178.17 ! [V_z_2,V_w_2] :
% 178.32/178.17 ( 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)))
% 178.32/178.17 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 178.32/178.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_mod__le__divisor,axiom,
% 178.32/178.17 ! [V_m,V_n] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 178.32/178.17 => 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)) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 178.32/178.17 ! [V_y_2,V_x_2] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 178.32/178.17 => ( 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)))
% 178.32/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__1,axiom,
% 178.32/178.17 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_mod__mult__self4,axiom,
% 178.32/178.17 ! [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) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_int__nat__eq,axiom,
% 178.32/178.17 ! [V_z] :
% 178.32/178.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 178.32/178.17 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 178.32/178.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 178.32/178.17 => 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) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_int__eq__iff,axiom,
% 178.32/178.17 ! [V_z_2,V_m_2] :
% 178.32/178.17 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 178.32/178.17 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 178.32/178.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__0__le,axiom,
% 178.32/178.17 ! [V_z] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 178.32/178.17 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zless__nat__eq__int__zless,axiom,
% 178.32/178.17 ! [V_z_2,V_m_2] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 178.32/178.17 <=> 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)) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__zminus__int,axiom,
% 178.32/178.17 ! [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) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zero__le__zpower__abs,axiom,
% 178.32/178.17 ! [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))) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__abs__mult__distrib,axiom,
% 178.32/178.17 ! [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))) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_one__mod__nat__number__of,axiom,
% 178.32/178.17 ! [V_v_H] :
% 178.32/178.17 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 178.32/178.17 => 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)) )
% 178.32/178.17 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 178.32/178.17 => 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))) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__geq,axiom,
% 178.32/178.17 ! [V_m,V_n] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 178.32/178.17 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 178.32/178.17 => 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)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__if,axiom,
% 178.32/178.17 ! [V_m,V_n] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 178.32/178.17 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 178.32/178.17 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 178.32/178.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 178.32/178.17 => 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)) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_split__div,axiom,
% 178.32/178.17 ! [V_k_2,V_n_2,V_Pa_2] :
% 178.32/178.17 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2)))
% 178.32/178.17 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.32/178.17 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 178.32/178.17 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.32/178.17 => ! [B_i,B_j] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 178.32/178.17 => ( 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)
% 178.32/178.17 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zero__less__nat__eq,axiom,
% 178.32/178.17 ! [V_z_2] :
% 178.32/178.17 ( 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)))
% 178.32/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__less__eq__zless,axiom,
% 178.32/178.17 ! [V_z_2,V_w_2] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 178.32/178.17 => ( 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)))
% 178.32/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 178.32/178.17 ! [V_y_2,V_x_2] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 178.32/178.17 => ( 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)))
% 178.32/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__eq__iff,axiom,
% 178.32/178.17 ! [V_m_2,V_w_2] :
% 178.32/178.17 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 178.32/178.17 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 178.32/178.17 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 178.32/178.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 178.32/178.17 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__eq__iff2,axiom,
% 178.32/178.17 ! [V_w_2,V_m_2] :
% 178.32/178.17 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 178.32/178.17 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 178.32/178.17 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 178.32/178.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 178.32/178.17 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__le__eq__zle,axiom,
% 178.32/178.17 ! [V_z_2,V_w_2] :
% 178.32/178.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 178.32/178.17 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 178.32/178.17 => ( 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)))
% 178.32/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_split__nat,axiom,
% 178.32/178.17 ! [V_i_2,V_Pa_2] :
% 178.32/178.17 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2)))
% 178.32/178.17 <=> ( ! [B_n] :
% 178.32/178.17 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 178.32/178.17 => hBOOL(hAPP(V_Pa_2,B_n)) )
% 178.32/178.17 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.17 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_split__mod,axiom,
% 178.32/178.17 ! [V_k_2,V_n_2,V_Pa_2] :
% 178.32/178.17 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2)))
% 178.32/178.17 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.32/178.17 => hBOOL(hAPP(V_Pa_2,V_n_2)) )
% 178.32/178.17 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.32/178.17 => ! [B_i,B_j] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 178.32/178.17 => ( 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)
% 178.32/178.17 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_mod__lemma,axiom,
% 178.32/178.17 ! [V_q,V_b,V_r,V_c] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 178.32/178.17 => 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))) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__add__distrib,axiom,
% 178.32/178.17 ! [V_z_H,V_z] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 178.32/178.17 => 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)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 178.32/178.17 ! [V_y,V_x] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 178.32/178.17 => 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)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_power3__eq__cube,axiom,
% 178.32/178.17 ! [V_a,T_a] :
% 178.32/178.17 ( class_Groups_Omonoid__mult(T_a)
% 178.32/178.17 => 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) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_int__eq__iff__number__of,axiom,
% 178.32/178.17 ! [V_v_2,V_m_2] :
% 178.32/178.17 ( 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)
% 178.32/178.17 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 178.32/178.17 & 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))) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__mult__distrib,axiom,
% 178.32/178.17 ! [V_z_H,V_z] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 178.32/178.17 => 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)) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 178.32/178.17 ! [V_y,V_x] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 178.32/178.17 => 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)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__diff__distrib,axiom,
% 178.32/178.17 ! [V_z,V_z_H] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 178.32/178.17 => 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)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Suc__times__mod__eq,axiom,
% 178.32/178.17 ! [V_m,V_k] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 178.32/178.17 => 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) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 178.32/178.17 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)))) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_power__eq__if,axiom,
% 178.32/178.17 ! [V_p,V_m] :
% 178.32/178.17 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.32/178.17 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 178.32/178.17 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.32/178.17 => 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)))) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zero__less__zpower__abs__iff,axiom,
% 178.32/178.17 ! [V_n_2,V_x_2] :
% 178.32/178.17 ( 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)))
% 178.32/178.17 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.17 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 178.32/178.17 ! [V_y,V_x] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 178.32/178.17 => 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)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_le__div__geq,axiom,
% 178.32/178.17 ! [V_m,V_n] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 178.32/178.17 => 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)) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_split__div__lemma,axiom,
% 178.32/178.17 ! [V_m_2,V_q_2,V_n_2] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 178.32/178.17 => ( ( 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))
% 178.32/178.17 & 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)))) )
% 178.32/178.17 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_split__div_H,axiom,
% 178.32/178.17 ! [V_n_2,V_m_2,V_Pa_2] :
% 178.32/178.17 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2)))
% 178.32/178.17 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.32/178.17 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 178.32/178.17 | ? [B_q] :
% 178.32/178.17 ( 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))
% 178.32/178.17 & 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))))
% 178.32/178.17 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__Suc__eq__div__add3,axiom,
% 178.32/178.17 ! [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)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Suc__div__eq__add3__div,axiom,
% 178.32/178.17 ! [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) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 178.32/178.17 ! [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)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div2__Suc__Suc,axiom,
% 178.32/178.17 ! [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))))) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_add__self__div__2,axiom,
% 178.32/178.17 ! [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 ).
% 178.32/178.17
% 178.32/178.17 fof(fact_one__less__nat__eq,axiom,
% 178.32/178.17 ! [V_z_2] :
% 178.32/178.17 ( 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)))
% 178.32/178.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__less__iff,axiom,
% 178.32/178.17 ! [V_m_2,V_w_2] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 178.32/178.17 <=> 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))) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 178.32/178.17 ! [V_z] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 178.32/178.17 => 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)) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 178.32/178.17 ! [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)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 178.32/178.17 ! [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) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 178.32/178.17 ! [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)) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zero__power2,axiom,
% 178.32/178.17 ! [T_a] :
% 178.32/178.17 ( class_Rings_Osemiring__1(T_a)
% 178.32/178.17 => 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) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zero__eq__power2,axiom,
% 178.32/178.17 ! [V_a_2,T_b] :
% 178.32/178.17 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 178.32/178.17 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_b)
% 178.32/178.17 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 178.32/178.17 ! [V_x,T_a] :
% 178.32/178.17 ( class_Rings_Ocomm__semiring__1(T_a)
% 178.32/178.17 => 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)))) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_power2__eq__square,axiom,
% 178.32/178.17 ! [V_a,T_a] :
% 178.32/178.17 ( class_Groups_Omonoid__mult(T_a)
% 178.32/178.17 => 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) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_mod2__Suc__Suc,axiom,
% 178.32/178.17 ! [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)))) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_one__power2,axiom,
% 178.32/178.17 ! [T_a] :
% 178.32/178.17 ( class_Rings_Osemiring__1(T_a)
% 178.32/178.17 => 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) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 178.32/178.17 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)))) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_power2__minus,axiom,
% 178.32/178.17 ! [V_a,T_a] :
% 178.32/178.17 ( class_Rings_Oring__1(T_a)
% 178.32/178.17 => 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)))) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__mult__distrib__neg,axiom,
% 178.32/178.17 ! [V_z_H,V_z] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.17 => 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))) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_power__even__eq,axiom,
% 178.32/178.17 ! [V_n,V_a,T_a] :
% 178.32/178.17 ( class_Groups_Omonoid__mult(T_a)
% 178.32/178.17 => 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)))) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_abs__power2,axiom,
% 178.32/178.17 ! [V_a,T_a] :
% 178.32/178.17 ( class_Rings_Olinordered__idom(T_a)
% 178.32/178.17 => 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)))) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_power2__abs,axiom,
% 178.32/178.17 ! [V_a,T_a] :
% 178.32/178.17 ( class_Rings_Olinordered__idom(T_a)
% 178.32/178.17 => 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)))) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_power2__eq__imp__eq,axiom,
% 178.32/178.17 ! [V_y,V_x,T_a] :
% 178.32/178.17 ( class_Rings_Olinordered__semidom(T_a)
% 178.32/178.17 => ( 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))))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 178.32/178.17 => V_x = V_y ) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_power2__le__imp__le,axiom,
% 178.32/178.17 ! [V_y,V_x,T_a] :
% 178.32/178.17 ( class_Rings_Olinordered__semidom(T_a)
% 178.32/178.17 => ( 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))))))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 178.32/178.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zero__le__power2,axiom,
% 178.32/178.17 ! [V_a,T_a] :
% 178.32/178.17 ( class_Rings_Olinordered__idom(T_a)
% 178.32/178.17 => 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)))))) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_power2__less__0,axiom,
% 178.32/178.17 ! [V_a,T_a] :
% 178.32/178.17 ( class_Rings_Olinordered__idom(T_a)
% 178.32/178.17 => ~ 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))) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zero__less__power2,axiom,
% 178.32/178.17 ! [V_a_2,T_b] :
% 178.32/178.17 ( class_Rings_Olinordered__idom(T_b)
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 178.32/178.17 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_sum__power2__eq__zero__iff,axiom,
% 178.32/178.17 ! [V_y_2,V_x_2,T_b] :
% 178.32/178.17 ( class_Rings_Olinordered__idom(T_b)
% 178.32/178.17 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(T_b)
% 178.32/178.17 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 178.32/178.17 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_nat__2,axiom,
% 178.32/178.17 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))) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_power2__eq__square__number__of,axiom,
% 178.32/178.17 ! [V_w,T_b] :
% 178.32/178.17 ( ( class_Groups_Omonoid__mult(T_b)
% 178.32/178.17 & class_Int_Onumber(T_b) )
% 178.32/178.17 => 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)) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_power2__eq__1__iff,axiom,
% 178.32/178.17 ! [V_a_2,T_b] :
% 178.32/178.17 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 178.32/178.17 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_b)
% 178.32/178.17 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b)
% 178.32/178.17 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 178.32/178.17 ! [V_n,V_x,T_a] :
% 178.32/178.17 ( class_Rings_Ocomm__semiring__1(T_a)
% 178.32/178.17 => 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)) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_power__minus__even,axiom,
% 178.32/178.17 ! [V_n,V_a,T_a] :
% 178.32/178.17 ( class_Rings_Oring__1(T_a)
% 178.32/178.17 => 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)) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_div__2__gt__zero,axiom,
% 178.32/178.17 ! [V_n] :
% 178.32/178.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 178.32/178.17 => 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)))))) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_power2__less__imp__less,axiom,
% 178.32/178.17 ! [V_y,V_x,T_a] :
% 178.32/178.17 ( class_Rings_Olinordered__semidom(T_a)
% 178.32/178.17 => ( 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))))))
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 178.32/178.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_sum__power2__le__zero__iff,axiom,
% 178.32/178.17 ! [V_y_2,V_x_2,T_b] :
% 178.32/178.17 ( class_Rings_Olinordered__idom(T_b)
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Ozero__class_Ozero(T_b)))
% 178.32/178.17 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 178.32/178.17 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_sum__power2__ge__zero,axiom,
% 178.32/178.17 ! [V_y,V_x,T_a] :
% 178.32/178.17 ( class_Rings_Olinordered__idom(T_a)
% 178.32/178.17 => 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))))))) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_not__sum__power2__lt__zero,axiom,
% 178.32/178.17 ! [V_y,V_x,T_a] :
% 178.32/178.17 ( class_Rings_Olinordered__idom(T_a)
% 178.32/178.17 => ~ 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))) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_sum__power2__gt__zero__iff,axiom,
% 178.32/178.17 ! [V_y_2,V_x_2,T_b] :
% 178.32/178.17 ( class_Rings_Olinordered__idom(T_b)
% 178.32/178.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))
% 178.32/178.17 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 178.32/178.17 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_power2__sum,axiom,
% 178.32/178.17 ! [V_y,V_x,T_a] :
% 178.32/178.17 ( class_Int_Onumber__ring(T_a)
% 178.32/178.17 => 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)) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_zero__le__even__power_H,axiom,
% 178.32/178.17 ! [V_n,V_a,T_a] :
% 178.32/178.17 ( class_Rings_Olinordered__idom(T_a)
% 178.32/178.17 => 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)))) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 178.32/178.17 ! [V_n,V_x,T_a] :
% 178.32/178.17 ( class_Rings_Ocomm__semiring__1(T_a)
% 178.32/178.17 => 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))) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_power__odd__eq,axiom,
% 178.32/178.17 ! [V_n,V_a,T_a] :
% 178.32/178.17 ( class_Groups_Omonoid__mult(T_a)
% 178.32/178.17 => 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))))) ) ).
% 178.32/178.17
% 178.32/178.17 fof(fact_mod2__gr__0,axiom,
% 178.32/178.17 ! [V_m_2] :
% 178.32/178.17 ( 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))))))
% 178.32/178.17 <=> 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) ) ).
% 178.32/178.17
% 178.32/178.18 fof(fact_power__minus1__even,axiom,
% 178.32/178.18 ! [V_n,T_a] :
% 178.32/178.18 ( class_Rings_Oring__1(T_a)
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_int__power__div__base,axiom,
% 178.32/178.18 ! [V_k,V_m] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 178.32/178.18 => 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)))) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 178.32/178.18 ! [V_n] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 178.32/178.18 => 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)))))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power2__diff,axiom,
% 178.32/178.18 ! [V_y,V_x,T_a] :
% 178.32/178.18 ( class_Int_Onumber__ring(T_a)
% 178.32/178.18 => 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)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 178.32/178.18 ! [V_n,V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__idom(T_a)
% 178.32/178.18 => ( 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)))))
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_int__of__code,axiom,
% 178.32/178.18 ! [V_k] :
% 178.32/178.18 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 178.32/178.18 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 178.32/178.18 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 178.32/178.18 => ( ( 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)
% 178.32/178.18 => 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)))))) )
% 178.32/178.18 & ( 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)
% 178.32/178.18 => 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)) ) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__strict__mono,axiom,
% 178.32/178.18 ! [V_n,V_b,V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__semidom(T_a)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 178.32/178.18 => 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))) ) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__diff,axiom,
% 178.32/178.18 ! [V_m,V_n,V_a,T_a] :
% 178.32/178.18 ( class_Fields_Ofield(T_a)
% 178.32/178.18 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 178.32/178.18 => 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)) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_one__less__power,axiom,
% 178.32/178.18 ! [V_n,V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__semidom(T_a)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 178.32/178.18 => 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))) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__le__imp__le__exp,axiom,
% 178.32/178.18 ! [V_n,V_m,V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__semidom(T_a)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 178.32/178.18 => ( 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)))
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_field__power__not__zero,axiom,
% 178.32/178.18 ! [V_n,V_a,T_a] :
% 178.32/178.18 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 178.32/178.18 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 178.32/178.18 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__Suc__0,axiom,
% 178.32/178.18 ! [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)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 178.32/178.18 ! [V_m_2,V_x_2] :
% 178.32/178.18 ( 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))
% 178.32/178.18 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.32/178.18 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_nat__zero__less__power__iff,axiom,
% 178.32/178.18 ! [V_n_2,V_x_2] :
% 178.32/178.18 ( 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)))
% 178.32/178.18 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 178.32/178.18 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_nat__power__less__imp__less,axiom,
% 178.32/178.18 ! [V_n,V_m,V_i] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 178.32/178.18 => ( 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)))
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__mult__distrib,axiom,
% 178.32/178.18 ! [V_n,V_b,V_a,T_a] :
% 178.32/178.18 ( class_Groups_Ocomm__monoid__mult(T_a)
% 178.32/178.18 => 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)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__commutes,axiom,
% 178.32/178.18 ! [V_n,V_a,T_a] :
% 178.32/178.18 ( class_Groups_Omonoid__mult(T_a)
% 178.32/178.18 => 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)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__one,axiom,
% 178.32/178.18 ! [V_n,T_a] :
% 178.32/178.18 ( class_Groups_Omonoid__mult(T_a)
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__nat__power,axiom,
% 178.32/178.18 ! [V_n,V_m,T_a] :
% 178.32/178.18 ( class_Rings_Osemiring__1(T_a)
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__mult,axiom,
% 178.32/178.18 ! [V_n,V_m,V_a,T_a] :
% 178.32/178.18 ( class_Groups_Omonoid__mult(T_a)
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__divide,axiom,
% 178.32/178.18 ! [V_n,V_b,V_a,T_a] :
% 178.32/178.18 ( class_Fields_Ofield__inverse__zero(T_a)
% 178.32/178.18 => 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)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__abs,axiom,
% 178.32/178.18 ! [V_n,V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__idom(T_a)
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__one__right,axiom,
% 178.32/178.18 ! [V_a,T_a] :
% 178.32/178.18 ( class_Groups_Omonoid__mult(T_a)
% 178.32/178.18 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_zero__le__power,axiom,
% 178.32/178.18 ! [V_n,V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__semidom(T_a)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 178.32/178.18 => 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))) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__mono,axiom,
% 178.32/178.18 ! [V_n,V_b,V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__semidom(T_a)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 178.32/178.18 => 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))) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_zero__less__power,axiom,
% 178.32/178.18 ! [V_n,V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__semidom(T_a)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 178.32/178.18 => 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))) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__eq__0__iff,axiom,
% 178.32/178.18 ! [V_n_2,V_a_2,T_b] :
% 178.32/178.18 ( ( class_Power_Opower(T_b)
% 178.32/178.18 & class_Rings_Omult__zero(T_b)
% 178.32/178.18 & class_Rings_Ono__zero__divisors(T_b)
% 178.32/178.18 & class_Rings_Ozero__neq__one(T_b) )
% 178.32/178.18 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_b)
% 178.32/178.18 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 178.32/178.18 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_one__le__power,axiom,
% 178.32/178.18 ! [V_n,V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__semidom(T_a)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 178.32/178.18 => 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))) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__0__Suc,axiom,
% 178.32/178.18 ! [V_n,T_a] :
% 178.32/178.18 ( ( class_Power_Opower(T_a)
% 178.32/178.18 & class_Rings_Osemiring__0(T_a) )
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__inject__exp,axiom,
% 178.32/178.18 ! [V_n_2,V_m_2,V_a_2,T_b] :
% 178.32/178.18 ( class_Rings_Olinordered__semidom(T_b)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2))
% 178.32/178.18 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2)
% 178.32/178.18 <=> V_m_2 = V_n_2 ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__Suc,axiom,
% 178.32/178.18 ! [V_n,V_a,T_a] :
% 178.32/178.18 ( class_Power_Opower(T_a)
% 178.32/178.18 => 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)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__Suc2,axiom,
% 178.32/178.18 ! [V_n,V_a,T_a] :
% 178.32/178.18 ( class_Groups_Omonoid__mult(T_a)
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_nat__one__le__power,axiom,
% 178.32/178.18 ! [V_n,V_i] :
% 178.32/178.18 ( 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))
% 178.32/178.18 => 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))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__0,axiom,
% 178.32/178.18 ! [V_a,T_a] :
% 178.32/178.18 ( class_Power_Opower(T_a)
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__add,axiom,
% 178.32/178.18 ! [V_n,V_m,V_a,T_a] :
% 178.32/178.18 ( class_Groups_Omonoid__mult(T_a)
% 178.32/178.18 => 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)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_nonzero__power__divide,axiom,
% 178.32/178.18 ! [V_n,V_a,V_b,T_a] :
% 178.32/178.18 ( class_Fields_Ofield(T_a)
% 178.32/178.18 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 178.32/178.18 => 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)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__one__over,axiom,
% 178.32/178.18 ! [V_n,V_a,T_a] :
% 178.32/178.18 ( class_Fields_Ofield__inverse__zero(T_a)
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_abs__power__minus,axiom,
% 178.32/178.18 ! [V_n,V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__idom(T_a)
% 178.32/178.18 => 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)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__less__imp__less__base,axiom,
% 178.32/178.18 ! [V_b,V_n,V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__semidom(T_a)
% 178.32/178.18 => ( 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)))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__le__imp__le__base,axiom,
% 178.32/178.18 ! [V_b,V_n,V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__semidom(T_a)
% 178.32/178.18 => ( 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))))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__inject__base,axiom,
% 178.32/178.18 ! [V_b,V_n,V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__semidom(T_a)
% 178.32/178.18 => ( 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))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 178.32/178.18 => V_a = V_b ) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__gt1__lemma,axiom,
% 178.32/178.18 ! [V_n,V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__semidom(T_a)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 178.32/178.18 => 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)))) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__less__power__Suc,axiom,
% 178.32/178.18 ! [V_n,V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__semidom(T_a)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 178.32/178.18 => 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)))) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__0__left,axiom,
% 178.32/178.18 ! [V_n,T_a] :
% 178.32/178.18 ( ( class_Power_Opower(T_a)
% 178.32/178.18 & class_Rings_Osemiring__0(T_a) )
% 178.32/178.18 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.32/178.18 => 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) )
% 178.32/178.18 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.32/178.18 => 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) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__gt1,axiom,
% 178.32/178.18 ! [V_n,V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__semidom(T_a)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 178.32/178.18 => 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)))) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__strict__increasing__iff,axiom,
% 178.32/178.18 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 178.32/178.18 ( class_Rings_Olinordered__semidom(T_b)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_y_2)))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__less__imp__less__exp,axiom,
% 178.32/178.18 ! [V_n,V_m,V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__semidom(T_a)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 178.32/178.18 => ( 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)))
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__strict__increasing,axiom,
% 178.32/178.18 ! [V_a,V_N,V_n,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__semidom(T_a)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 178.32/178.18 => 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))) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_zero__le__power__abs,axiom,
% 178.32/178.18 ! [V_n,V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__idom(T_a)
% 178.32/178.18 => 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))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__increasing,axiom,
% 178.32/178.18 ! [V_a,V_N,V_n,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__semidom(T_a)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 178.32/178.18 => 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))) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__minus,axiom,
% 178.32/178.18 ! [V_n,V_a,T_a] :
% 178.32/178.18 ( class_Rings_Oring__1(T_a)
% 178.32/178.18 => 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)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__Suc__less,axiom,
% 178.32/178.18 ! [V_n,V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__semidom(T_a)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 178.32/178.18 => 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))) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__eq__imp__eq__base,axiom,
% 178.32/178.18 ! [V_b,V_n,V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__semidom(T_a)
% 178.32/178.18 => ( 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)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 178.32/178.18 => V_a = V_b ) ) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__Suc__less__one,axiom,
% 178.32/178.18 ! [V_n,V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__semidom(T_a)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 178.32/178.18 => 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))) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__strict__decreasing,axiom,
% 178.32/178.18 ! [V_a,V_N,V_n,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__semidom(T_a)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 178.32/178.18 => 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))) ) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__decreasing,axiom,
% 178.32/178.18 ! [V_a,V_N,V_n,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__semidom(T_a)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 178.32/178.18 => 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))) ) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__increasing__iff,axiom,
% 178.32/178.18 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 178.32/178.18 ( class_Rings_Olinordered__semidom(T_b)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_y_2)))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_nat__aux__def,axiom,
% 178.32/178.18 ! [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) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_transfer__morphism__nat__int,axiom,
% 178.32/178.18 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))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_card__Pow,axiom,
% 178.32/178.18 ! [V_A_2,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.32/178.18 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__power__power,axiom,
% 178.32/178.18 ! [T_b] :
% 178.32/178.18 ( class_Power_Opower(T_b)
% 178.32/178.18 => c_Power_Opower__class_Opower(T_b) = c_Power_Opower_Opower(T_b,c_Groups_Oone__class_Oone(T_b),c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__m1__odd,axiom,
% 178.32/178.18 ! [V_n,T_a] :
% 178.32/178.18 ( class_Int_Onumber__ring(T_a)
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_PowI,axiom,
% 178.32/178.18 ! [V_B_2,V_A_2,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_rel__simps_I24_J,axiom,
% 178.32/178.18 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_rel__simps_I7_J,axiom,
% 178.32/178.18 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_rel__simps_I37_J,axiom,
% 178.32/178.18 c_Int_OPls != c_Int_OMin ).
% 178.32/178.18
% 178.32/178.18 fof(fact_rel__simps_I40_J,axiom,
% 178.32/178.18 c_Int_OMin != c_Int_OPls ).
% 178.32/178.18
% 178.32/178.18 fof(fact_rel__simps_I47_J,axiom,
% 178.32/178.18 ! [V_k_2] :
% 178.32/178.18 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 178.32/178.18 <=> V_k_2 = c_Int_OMin ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_rel__simps_I43_J,axiom,
% 178.32/178.18 ! [V_l_2] :
% 178.32/178.18 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 178.32/178.18 <=> c_Int_OMin = V_l_2 ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Bit1__Min,axiom,
% 178.32/178.18 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 178.32/178.18
% 178.32/178.18 fof(fact_rel__simps_I45_J,axiom,
% 178.32/178.18 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 178.32/178.18
% 178.32/178.18 fof(fact_rel__simps_I42_J,axiom,
% 178.32/178.18 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Pow__top,axiom,
% 178.32/178.18 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_A_2))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Union__Pow__eq,axiom,
% 178.32/178.18 ! [V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OPow(T_b),V_A_2)) = V_A_2 ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Pow__not__empty,axiom,
% 178.32/178.18 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_bin__less__0__simps_I2_J,axiom,
% 178.32/178.18 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_rel__simps_I20_J,axiom,
% 178.32/178.18 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_rel__simps_I23_J,axiom,
% 178.32/178.18 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_rel__simps_I30_J,axiom,
% 178.32/178.18 ! [V_k_2] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_rel__simps_I26_J,axiom,
% 178.32/178.18 ! [V_k_2] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_rel__simps_I6_J,axiom,
% 178.32/178.18 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_rel__simps_I3_J,axiom,
% 178.32/178.18 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_rel__simps_I9_J,axiom,
% 178.32/178.18 ! [V_k_2] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_rel__simps_I13_J,axiom,
% 178.32/178.18 ! [V_k_2] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_rel__simps_I28_J,axiom,
% 178.32/178.18 ! [V_k_2] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_rel__simps_I8_J,axiom,
% 178.32/178.18 ! [V_k_2] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_eq__number__of__Pls__Min,axiom,
% 178.32/178.18 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) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Int_OMin__def,axiom,
% 178.32/178.18 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_mult__Min,axiom,
% 178.32/178.18 ! [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) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_neg__number__of__Min,axiom,
% 178.32/178.18 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_pred__Pls,axiom,
% 178.32/178.18 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 178.32/178.18
% 178.32/178.18 fof(fact_add__Min__right,axiom,
% 178.32/178.18 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_add__Min,axiom,
% 178.32/178.18 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_pred__Min,axiom,
% 178.32/178.18 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_nonzero__number__of__Min,axiom,
% 178.32/178.18 ! [T_a] :
% 178.32/178.18 ( class_Int_Onumber__ring(T_a)
% 178.32/178.18 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_succ__Min,axiom,
% 178.32/178.18 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 178.32/178.18
% 178.32/178.18 fof(fact_diff__bin__simps_I2_J,axiom,
% 178.32/178.18 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Pow__bottom,axiom,
% 178.32/178.18 ! [V_B_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Set_OPow(T_b),V_B_2))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Pow__iff,axiom,
% 178.32/178.18 ! [V_B_2,V_A_2,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_PowD,axiom,
% 178.32/178.18 ! [V_B_2,V_A_2,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Pow__mono,axiom,
% 178.32/178.18 ! [V_B_2,V_A_2,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_finite__Pow__iff,axiom,
% 178.32/178.18 ! [V_A_2,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)))
% 178.32/178.18 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_mult__minus1,axiom,
% 178.32/178.18 ! [V_z,T_a] :
% 178.32/178.18 ( class_Int_Onumber__ring(T_a)
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_mult__minus1__right,axiom,
% 178.32/178.18 ! [V_z,T_a] :
% 178.32/178.18 ( class_Int_Onumber__ring(T_a)
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_subset__Pow__Union,axiom,
% 178.32/178.18 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_arith__simps_I31_J,axiom,
% 178.32/178.18 ! [T_a] :
% 178.32/178.18 ( class_Int_Onumber__ring(T_a)
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_number__of__Min,axiom,
% 178.32/178.18 ! [T_a] :
% 178.32/178.18 ( class_Int_Onumber__ring(T_a)
% 178.32/178.18 => 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)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_abs__minus__one,axiom,
% 178.32/178.18 ! [T_a] :
% 178.32/178.18 ( ( class_Int_Onumber__ring(T_a)
% 178.32/178.18 & class_Rings_Olinordered__idom(T_a) )
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_divide__minus1,axiom,
% 178.32/178.18 ! [V_x,T_a] :
% 178.32/178.18 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 178.32/178.18 & class_Int_Onumber__ring(T_a) )
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_rel__simps_I11_J,axiom,
% 178.32/178.18 ! [V_k_2] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_rel__simps_I25_J,axiom,
% 178.32/178.18 ! [V_k_2] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_zmod__minus1__right,axiom,
% 178.32/178.18 ! [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) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_diff__bin__simps_I4_J,axiom,
% 178.32/178.18 ! [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)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_minus__Min,axiom,
% 178.32/178.18 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 178.32/178.18 ! [V_n,V_m] :
% 178.32/178.18 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 178.32/178.18 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 178.32/178.18 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_zmult__eq__1__iff,axiom,
% 178.32/178.18 ! [V_n_2,V_m_2] :
% 178.32/178.18 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 178.32/178.18 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 178.32/178.18 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 178.32/178.18 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 178.32/178.18 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_diff__bin__simps_I5_J,axiom,
% 178.32/178.18 ! [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)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_diff__bin__simps_I6_J,axiom,
% 178.32/178.18 ! [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)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power_Opower_Opower__0,axiom,
% 178.32/178.18 ! [V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power_Opower_Opower__Suc,axiom,
% 178.32/178.18 ! [V_n_2,V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(V_times_2,V_a_2),hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),V_n_2)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_zdiv__minus1__right,axiom,
% 178.32/178.18 ! [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) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Pow__Int__eq,axiom,
% 178.32/178.18 ! [V_B_2,V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_minus1__divide,axiom,
% 178.32/178.18 ! [V_x,T_a] :
% 178.32/178.18 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 178.32/178.18 & class_Int_Onumber__ring(T_a) )
% 178.32/178.18 => 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)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_abs__power__minus__one,axiom,
% 178.32/178.18 ! [V_n,T_a] :
% 178.32/178.18 ( ( class_Int_Onumber__ring(T_a)
% 178.32/178.18 & class_Rings_Olinordered__idom(T_a) )
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_div__eq__minus1,axiom,
% 178.32/178.18 ! [V_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Pow__empty,axiom,
% 178.32/178.18 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Un__Pow__subset,axiom,
% 178.32/178.18 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_div__pos__neg__trivial,axiom,
% 178.32/178.18 ! [V_b,V_a] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 178.32/178.18 => ( 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)))
% 178.32/178.18 => 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) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_zmod__minus1,axiom,
% 178.32/178.18 ! [V_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 178.32/178.18 => 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)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__m1__even,axiom,
% 178.32/178.18 ! [V_n,T_a] :
% 178.32/178.18 ( class_Int_Onumber__ring(T_a)
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_code__numeral_Osize_I1_J,axiom,
% 178.32/178.18 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) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__int__of__nat,axiom,
% 178.32/178.18 ! [V_k,T_a] :
% 178.32/178.18 ( class_Rings_Oring__1(T_a)
% 178.32/178.18 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.18 => 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)))) )
% 178.32/178.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.18 => 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)) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 178.32/178.18 ! [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)))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_negD,axiom,
% 178.32/178.18 ! [V_x] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.18 => ? [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))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_code__numeral_Osize_I3_J,axiom,
% 178.32/178.18 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) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__int__eq__iff,axiom,
% 178.32/178.18 ! [V_z_2,V_w_2,T_b] :
% 178.32/178.18 ( class_Int_Oring__char__0(T_b)
% 178.32/178.18 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 178.32/178.18 <=> V_w_2 = V_z_2 ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_number__of__eq,axiom,
% 178.32/178.18 ! [V_k,T_a] :
% 178.32/178.18 ( class_Int_Onumber__ring(T_a)
% 178.32/178.18 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_int__number__of__def,axiom,
% 178.32/178.18 ! [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) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__int__int__eq,axiom,
% 178.32/178.18 ! [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) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__int__eq__0__iff,axiom,
% 178.32/178.18 ! [V_z_2,T_b] :
% 178.32/178.18 ( class_Int_Oring__char__0(T_b)
% 178.32/178.18 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b)
% 178.32/178.18 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__int__0__eq__iff,axiom,
% 178.32/178.18 ! [V_z_2,T_b] :
% 178.32/178.18 ( class_Int_Oring__char__0(T_b)
% 178.32/178.18 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 178.32/178.18 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__int__0,axiom,
% 178.32/178.18 ! [T_a] :
% 178.32/178.18 ( class_Rings_Oring__1(T_a)
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__int__le__iff,axiom,
% 178.32/178.18 ! [V_z_2,V_w_2,T_b] :
% 178.32/178.18 ( class_Rings_Olinordered__idom(T_b)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__int__less__iff,axiom,
% 178.32/178.18 ! [V_z_2,V_w_2,T_b] :
% 178.32/178.18 ( class_Rings_Olinordered__idom(T_b)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__int__add,axiom,
% 178.32/178.18 ! [V_z,V_w,T_a] :
% 178.32/178.18 ( class_Rings_Oring__1(T_a)
% 178.32/178.18 => 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)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__int__number__of__eq,axiom,
% 178.32/178.18 ! [V_v,T_a] :
% 178.32/178.18 ( class_Int_Onumber__ring(T_a)
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__int__mult,axiom,
% 178.32/178.18 ! [V_z,V_w,T_a] :
% 178.32/178.18 ( class_Rings_Oring__1(T_a)
% 178.32/178.18 => 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)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__int__1,axiom,
% 178.32/178.18 ! [T_a] :
% 178.32/178.18 ( class_Rings_Oring__1(T_a)
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__int__diff,axiom,
% 178.32/178.18 ! [V_z,V_w,T_a] :
% 178.32/178.18 ( class_Rings_Oring__1(T_a)
% 178.32/178.18 => 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)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__int__of__nat__eq,axiom,
% 178.32/178.18 ! [V_n,T_a] :
% 178.32/178.18 ( class_Rings_Oring__1(T_a)
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__int__minus,axiom,
% 178.32/178.18 ! [V_z,T_a] :
% 178.32/178.18 ( class_Rings_Oring__1(T_a)
% 178.32/178.18 => 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)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Ints__of__int,axiom,
% 178.32/178.18 ! [V_z_2,T_b] :
% 178.32/178.18 ( class_Rings_Oring__1(T_b)
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__int__power,axiom,
% 178.32/178.18 ! [V_n,V_z,T_a] :
% 178.32/178.18 ( class_Rings_Oring__1(T_a)
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__int__m1,axiom,
% 178.32/178.18 ! [T_a] :
% 178.32/178.18 ( class_Int_Onumber__ring(T_a)
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__int__0__le__iff,axiom,
% 178.32/178.18 ! [V_z_2,T_b] :
% 178.32/178.18 ( class_Rings_Olinordered__idom(T_b)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__int__le__0__iff,axiom,
% 178.32/178.18 ! [V_z_2,T_b] :
% 178.32/178.18 ( class_Rings_Olinordered__idom(T_b)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__int__less__0__iff,axiom,
% 178.32/178.18 ! [V_z_2,T_b] :
% 178.32/178.18 ( class_Rings_Olinordered__idom(T_b)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__int__0__less__iff,axiom,
% 178.32/178.18 ! [V_z_2,T_b] :
% 178.32/178.18 ( class_Rings_Olinordered__idom(T_b)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__nat__nat,axiom,
% 178.32/178.18 ! [V_z,T_a] :
% 178.32/178.18 ( class_Rings_Oring__1(T_a)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 178.32/178.18 => 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) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 178.32/178.18 ! [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)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_code__numeral_Osize_I4_J,axiom,
% 178.32/178.18 ! [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))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_code__numeral_Osize_I2_J,axiom,
% 178.32/178.18 ! [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))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_sgn__if,axiom,
% 178.32/178.18 ! [V_x,T_a] :
% 178.32/178.18 ( class_Groups_Osgn__if(T_a)
% 178.32/178.18 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 178.32/178.18 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 178.32/178.18 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 178.32/178.18 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 178.32/178.18 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 178.32/178.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 178.32/178.18 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_sgn__1__neg,axiom,
% 178.32/178.18 ! [V_a_2,T_b] :
% 178.32/178.18 ( class_Rings_Olinordered__idom(T_b)
% 178.32/178.18 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_sgn__sgn,axiom,
% 178.32/178.18 ! [V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__idom(T_a)
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_code__numeral_Oinject,axiom,
% 178.32/178.18 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 178.32/178.18 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 178.32/178.18 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_sgn0,axiom,
% 178.32/178.18 ! [T_a] :
% 178.32/178.18 ( class_Groups_Osgn__if(T_a)
% 178.32/178.18 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_sgn__0__0,axiom,
% 178.32/178.18 ! [V_a_2,T_b] :
% 178.32/178.18 ( class_Rings_Olinordered__idom(T_b)
% 178.32/178.18 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 178.32/178.18 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_sgn__times,axiom,
% 178.32/178.18 ! [V_b,V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__idom(T_a)
% 178.32/178.18 => 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)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 178.32/178.18 ! [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) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 178.32/178.18 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_sgn__greater,axiom,
% 178.32/178.18 ! [V_a_2,T_b] :
% 178.32/178.18 ( class_Rings_Olinordered__idom(T_b)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Groups_Osgn__class_Osgn(T_b,V_a_2)))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_sgn__less,axiom,
% 178.32/178.18 ! [V_a_2,T_b] :
% 178.32/178.18 ( class_Rings_Olinordered__idom(T_b)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Osgn__class_Osgn(T_b,V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_abs__sgn,axiom,
% 178.32/178.18 ! [V_k,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__idom(T_a)
% 178.32/178.18 => 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)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_mult__sgn__abs,axiom,
% 178.32/178.18 ! [V_x,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__idom(T_a)
% 178.32/178.18 => 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 ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Suc__code__numeral__minus__one,axiom,
% 178.32/178.18 ! [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 ).
% 178.32/178.18
% 178.32/178.18 fof(fact_sgn__pos,axiom,
% 178.32/178.18 ! [V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__idom(T_a)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 178.32/178.18 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_sgn__1__pos,axiom,
% 178.32/178.18 ! [V_a_2,T_b] :
% 178.32/178.18 ( class_Rings_Olinordered__idom(T_b)
% 178.32/178.18 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b)
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_nat__gcd_Osimps,axiom,
% 178.32/178.18 ! [V_x,V_y] :
% 178.32/178.18 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.32/178.18 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 178.32/178.18 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.32/178.18 => 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)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_zsgn__def,axiom,
% 178.32/178.18 ! [V_i] :
% 178.32/178.18 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.18 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 178.32/178.18 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.18 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 178.32/178.18 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 178.32/178.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 178.32/178.18 => 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)) ) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_sgn__neg,axiom,
% 178.32/178.18 ! [V_a,T_a] :
% 178.32/178.18 ( class_Rings_Olinordered__idom(T_a)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 178.32/178.18 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 178.32/178.18 ! [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)))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 178.32/178.18 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_b,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(V_f2_2,V_code__numeral_2) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_compl__unique,axiom,
% 178.32/178.18 ! [V_y,V_x,T_a] :
% 178.32/178.18 ( class_Lattices_Oboolean__algebra(T_a)
% 178.32/178.18 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 178.32/178.18 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 178.32/178.18 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 178.32/178.18 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 178.32/178.18 ! [V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ).
% 178.32/178.18
% 178.32/178.18 fof(fact_UNIV__I,axiom,
% 178.32/178.18 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Pow__UNIV,axiom,
% 178.32/178.18 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_subset__UNIV,axiom,
% 178.32/178.18 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_UNIV__Plus__UNIV,axiom,
% 178.32/178.18 ! [T_c,T_b] : c_Sum__Type_OPlus(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_finite__Prod__UNIV,axiom,
% 178.32/178.18 ! [T_c,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 178.32/178.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 178.32/178.18 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_finite__option__UNIV,axiom,
% 178.32/178.18 ! [T_b] :
% 178.32/178.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool))))
% 178.32/178.18 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Sup__UNIV,axiom,
% 178.32/178.18 ! [T_b] :
% 178.32/178.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.32/178.18 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Union__UNIV,axiom,
% 178.32/178.18 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_top__apply,axiom,
% 178.32/178.18 ! [V_x_2,T_c,T_b] :
% 178.32/178.18 ( class_Orderings_Otop(T_b)
% 178.32/178.18 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_finite__UNIV,axiom,
% 178.32/178.18 ! [T_b] :
% 178.32/178.18 ( class_Finite__Set_Ofinite(T_b)
% 178.32/178.18 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_UNIV__not__empty,axiom,
% 178.32/178.18 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_finite__fun__UNIVD2,axiom,
% 178.32/178.18 ! [T_c,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))))
% 178.32/178.18 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Int__UNIV__left,axiom,
% 178.32/178.18 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Int__UNIV__right,axiom,
% 178.32/178.18 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Un__UNIV__left,axiom,
% 178.32/178.18 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Un__UNIV__right,axiom,
% 178.32/178.18 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_card__UNIV__unit,axiom,
% 178.32/178.18 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) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_finite__Plus__UNIV__iff,axiom,
% 178.32/178.18 ! [T_c,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool))))
% 178.32/178.18 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 178.32/178.18 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 178.32/178.18 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 178.32/178.18 ! [V_y,V_x] :
% 178.32/178.18 ( c_Nat__Transfer_Ois__nat(V_x)
% 178.32/178.18 => ( c_Nat__Transfer_Ois__nat(V_y)
% 178.32/178.18 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 178.32/178.18 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 178.32/178.18 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 178.32/178.18 ! [V_y,V_x] :
% 178.32/178.18 ( c_Nat__Transfer_Ois__nat(V_x)
% 178.32/178.18 => ( c_Nat__Transfer_Ois__nat(V_y)
% 178.32/178.18 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 178.32/178.18 ! [V_y,V_x] :
% 178.32/178.18 ( c_Nat__Transfer_Ois__nat(V_x)
% 178.32/178.18 => ( c_Nat__Transfer_Ois__nat(V_y)
% 178.32/178.18 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 178.32/178.18 ! [V_y,V_x] :
% 178.32/178.18 ( c_Nat__Transfer_Ois__nat(V_x)
% 178.32/178.18 => ( c_Nat__Transfer_Ois__nat(V_y)
% 178.32/178.18 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_top__greatest,axiom,
% 178.32/178.18 ! [V_x,T_a] :
% 178.32/178.18 ( class_Orderings_Otop(T_a)
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_sup__top__left,axiom,
% 178.32/178.18 ! [V_x,T_a] :
% 178.32/178.18 ( class_Lattices_Obounded__lattice__top(T_a)
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_sup__top__right,axiom,
% 178.32/178.18 ! [V_x,T_a] :
% 178.32/178.18 ( class_Lattices_Obounded__lattice__top(T_a)
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_inf__eq__top__iff,axiom,
% 178.32/178.18 ! [V_y_2,V_x_2,T_b] :
% 178.32/178.18 ( class_Lattices_Obounded__lattice__top(T_b)
% 178.32/178.18 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b)
% 178.32/178.18 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b)
% 178.32/178.18 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_inf__top__right,axiom,
% 178.32/178.18 ! [V_x,T_a] :
% 178.32/178.18 ( class_Lattices_Obounded__lattice__top(T_a)
% 178.32/178.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_inf__top__left,axiom,
% 178.32/178.18 ! [V_x,T_a] :
% 178.32/178.18 ( class_Lattices_Obounded__lattice__top(T_a)
% 178.32/178.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 178.32/178.18 ! [V_n,V_x] :
% 178.32/178.18 ( c_Nat__Transfer_Ois__nat(V_x)
% 178.32/178.18 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Diff__UNIV,axiom,
% 178.32/178.18 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 178.32/178.18 ! [V_y,V_x] :
% 178.32/178.18 ( c_Nat__Transfer_Ois__nat(V_x)
% 178.32/178.18 => ( c_Nat__Transfer_Ois__nat(V_y)
% 178.32/178.18 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 178.32/178.18 ! [V_A_2,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 178.32/178.18 => ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.32/178.18 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Compl__UNIV__eq,axiom,
% 178.32/178.18 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Compl__empty__eq,axiom,
% 178.32/178.18 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_finite__compl,axiom,
% 178.32/178.18 ! [V_A_2,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.32/178.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 178.32/178.18 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Compl__partition,axiom,
% 178.32/178.18 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Compl__partition2,axiom,
% 178.32/178.18 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 178.32/178.18 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_A_2) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_is__nat__def,axiom,
% 178.32/178.18 ! [V_x_2] :
% 178.32/178.18 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_compl__top__eq,axiom,
% 178.32/178.18 ! [T_a] :
% 178.32/178.18 ( class_Lattices_Oboolean__algebra(T_a)
% 178.32/178.18 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_compl__bot__eq,axiom,
% 178.32/178.18 ! [T_a] :
% 178.32/178.18 ( class_Lattices_Oboolean__algebra(T_a)
% 178.32/178.18 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_compl__sup__top,axiom,
% 178.32/178.18 ! [V_x,T_a] :
% 178.32/178.18 ( class_Lattices_Oboolean__algebra(T_a)
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_sup__compl__top,axiom,
% 178.32/178.18 ! [V_x,T_a] :
% 178.32/178.18 ( class_Lattices_Oboolean__algebra(T_a)
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 178.32/178.18 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_finite__UNIV__card__ge__0,axiom,
% 178.32/178.18 ! [T_b] :
% 178.32/178.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_card__UNIV__bool,axiom,
% 178.32/178.18 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))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_finite__fun__UNIVD1,axiom,
% 178.32/178.18 ! [T_c,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))))
% 178.32/178.18 => ( hAPP(c_Finite__Set_Ocard(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 178.32/178.18 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Inf__fold__inf,axiom,
% 178.32/178.18 ! [V_A_2,T_b] :
% 178.32/178.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.32/178.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.32/178.18 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),c_Orderings_Otop__class_Otop(T_b)),V_A_2) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_nat__mod__eq__lemma,axiom,
% 178.32/178.18 ! [V_y,V_n,V_x] :
% 178.32/178.18 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 178.32/178.18 => ? [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)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_mod__induct__0,axiom,
% 178.32/178.18 ! [V_i_2,V_Pa_2,V_p_2] :
% 178.32/178.18 ( ! [B_i] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 178.32/178.18 => ( hBOOL(hAPP(V_Pa_2,B_i))
% 178.32/178.18 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 178.32/178.18 => ( hBOOL(hAPP(V_Pa_2,V_i_2))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 178.32/178.18 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_log_Osimps,axiom,
% 178.32/178.18 ! [V_i,V_b] :
% 178.32/178.18 ( ( ( 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)))
% 178.32/178.18 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 178.32/178.18 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 178.32/178.18 & ( ~ ( 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)))
% 178.32/178.18 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 178.32/178.18 => 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))) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_finite__Inter,axiom,
% 178.32/178.18 ! [V_M_2,T_b] :
% 178.32/178.18 ( ? [B_x] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2))
% 178.32/178.18 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 178.32/178.18 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_top1I,axiom,
% 178.32/178.18 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_InterE,axiom,
% 178.32/178.18 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_InterD,axiom,
% 178.32/178.18 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Inter__UNIV,axiom,
% 178.32/178.18 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Inter__empty,axiom,
% 178.32/178.18 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_le__Inf__iff,axiom,
% 178.32/178.18 ! [V_A_2,V_b_2,T_b] :
% 178.32/178.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)))
% 178.32/178.18 <=> ! [B_x] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Inf__less__iff,axiom,
% 178.32/178.18 ! [V_a_2,V_S_2,T_b] :
% 178.32/178.18 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.32/178.18 & class_Orderings_Olinorder(T_b) )
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2))
% 178.32/178.18 <=> ? [B_x] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 178.32/178.18 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Inf__UNIV,axiom,
% 178.32/178.18 ! [T_b] :
% 178.32/178.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.32/178.18 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Inter__lower,axiom,
% 178.32/178.18 ! [V_A_2,V_B_2,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Inter__anti__mono,axiom,
% 178.32/178.18 ! [V_A_2,V_B_2,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_B_2),V_A_2))
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Inter__insert,axiom,
% 178.32/178.18 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Inf__lower,axiom,
% 178.32/178.18 ! [V_A_2,V_x_2,T_b] :
% 178.32/178.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)),V_x_2)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Inter__Un__distrib,axiom,
% 178.32/178.18 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Inf__singleton,axiom,
% 178.32/178.18 ! [V_a_2,T_b] :
% 178.32/178.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.32/178.18 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Inf__empty,axiom,
% 178.32/178.18 ! [T_b] :
% 178.32/178.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.32/178.18 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Inf__insert,axiom,
% 178.32/178.18 ! [V_A_2,V_a_2,T_b] :
% 178.32/178.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.32/178.18 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Int__eq__Inter,axiom,
% 178.32/178.18 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Inter__Un__subset,axiom,
% 178.32/178.18 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Inf__binary,axiom,
% 178.32/178.18 ! [V_b_2,V_a_2,T_b] :
% 178.32/178.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.32/178.18 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_b_2) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_inf__Inf__fold__inf,axiom,
% 178.32/178.18 ! [V_B_2,V_A_2,T_b] :
% 178.32/178.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.32/178.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.32/178.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_B_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_B_2),V_A_2) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Inf__fin__Inf,axiom,
% 178.32/178.18 ! [V_A_2,T_b] :
% 178.32/178.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.32/178.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.32/178.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.32/178.18 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_minus__shift__def,axiom,
% 178.32/178.18 ! [V_r,V_l,V_k] :
% 178.32/178.18 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 178.32/178.18 => 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) )
% 178.32/178.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 178.32/178.18 => 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) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_inc__shift__def,axiom,
% 178.32/178.18 ! [V_k,V_v] :
% 178.32/178.18 ( ( V_v = V_k
% 178.32/178.18 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 178.32/178.18 & ( V_v != V_k
% 178.32/178.18 => 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)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_iso__tuple__UNIV__I,axiom,
% 178.32/178.18 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_mod__div__decomp,axiom,
% 178.32/178.18 ! [V_b,V_a,T_a] :
% 178.32/178.18 ( class_Divides_Osemiring__div(T_a)
% 178.32/178.18 => 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)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Inter__subset,axiom,
% 178.32/178.18 ! [V_B_2,V_A_2,T_b] :
% 178.32/178.18 ( ! [B_X] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2))
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) )
% 178.32/178.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_InterI,axiom,
% 178.32/178.18 ! [V_A_2,V_C_2,T_b] :
% 178.32/178.18 ( ! [B_X] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2))
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) )
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_subtract__code__numeral__def,axiom,
% 178.32/178.18 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_minus__code__numeral__code,axiom,
% 178.32/178.18 ! [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) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 178.32/178.18 ! [V_w] :
% 178.32/178.18 ( 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)))
% 178.32/178.18 => ( ( 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))))
% 178.32/178.18 => 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))) )
% 178.32/178.18 & ( ~ 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))))
% 178.32/178.18 => 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)))) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_nat_Osize_I2_J,axiom,
% 178.32/178.18 ! [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))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_diff__nat__number__of,axiom,
% 178.32/178.18 ! [V_v_2,V_v_H_2] :
% 178.32/178.18 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 178.32/178.18 => 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) )
% 178.32/178.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 178.32/178.18 => 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)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_code__numeral_Orecs_I2_J,axiom,
% 178.32/178.18 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(hAPP(V_f2_2,V_code__numeral_2),c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,V_code__numeral_2)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_setsum__abs,axiom,
% 178.32/178.18 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.32/178.18 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_setsum__abs__ge__zero,axiom,
% 178.32/178.18 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.32/178.18 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_pred__subset__eq,axiom,
% 178.32/178.18 ! [V_S_2,V_R_2,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_pred__subset__eq2,axiom,
% 178.32/178.18 ! [V_S_2,V_R_2,T_c,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_setsum__addf,axiom,
% 178.32/178.18 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 178.32/178.18 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.32/178.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__int__setsum,axiom,
% 178.32/178.18 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.32/178.18 ( class_Rings_Oring__1(T_b)
% 178.32/178.18 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__int__setprod,axiom,
% 178.32/178.18 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.32/178.18 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 178.32/178.18 & class_Rings_Oring__1(T_b) )
% 178.32/178.18 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_setsum__negf,axiom,
% 178.32/178.18 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.32/178.18 ( class_Groups_Oab__group__add(T_b)
% 178.32/178.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_fun__Compl__def,axiom,
% 178.32/178.18 ! [V_x_2,V_A_2,T_c,T_b] :
% 178.32/178.18 ( class_Groups_Ouminus(T_b)
% 178.32/178.18 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_setprod__1,axiom,
% 178.32/178.18 ! [V_A_2,T_c,T_b] :
% 178.32/178.18 ( class_Groups_Ocomm__monoid__mult(T_b)
% 178.32/178.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Oone__class_Oone(T_b))),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_abs__setprod,axiom,
% 178.32/178.18 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.32/178.18 ( class_Fields_Olinordered__field(T_b)
% 178.32/178.18 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_setsum__right__distrib,axiom,
% 178.32/178.18 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] :
% 178.32/178.18 ( class_Rings_Osemiring__0(T_b)
% 178.32/178.18 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2)),V_f_2)),V_A_2) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_setsum__left__distrib,axiom,
% 178.32/178.18 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 178.32/178.18 ( class_Rings_Osemiring__0(T_b)
% 178.32/178.18 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_r_2)),V_A_2) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_setsum__product,axiom,
% 178.32/178.18 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 178.32/178.18 ( class_Rings_Osemiring__0(T_b)
% 178.32/178.18 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,T_b),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_b),tc_fun(tc_fun(T_d,T_b),tc_fun(T_d,T_b)),T_c),c_COMBB(T_b,T_b,T_d)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2))),V_g_2))),V_B_2)),V_A_2) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_sup__fun__def,axiom,
% 178.32/178.18 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 178.32/178.18 ( class_Lattices_Olattice(T_b)
% 178.32/178.18 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_inf__fun__def,axiom,
% 178.32/178.18 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 178.32/178.18 ( class_Lattices_Olattice(T_b)
% 178.32/178.18 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_setprod__timesf,axiom,
% 178.32/178.18 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 178.32/178.18 ( class_Groups_Ocomm__monoid__mult(T_b)
% 178.32/178.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),V_A_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 178.32/178.18 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 178.32/178.18 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 178.32/178.18 => c_Finite__Set_Ofun__left__comm__idem(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_pred__equals__eq,axiom,
% 178.32/178.18 ! [V_S_2,V_R_2,T_b] :
% 178.32/178.18 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)
% 178.32/178.18 <=> V_R_2 = V_S_2 ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_pred__equals__eq2,axiom,
% 178.32/178.18 ! [V_S_2,V_R_2,T_c,T_b] :
% 178.32/178.18 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)
% 178.32/178.18 <=> V_R_2 = V_S_2 ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 178.32/178.18 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 178.32/178.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 178.32/178.18 => c_Finite__Set_Ofun__left__comm(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_setsum__commute,axiom,
% 178.32/178.18 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 178.32/178.18 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.32/178.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_b),T_d),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))),V_A_2)),V_B_2) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_sup__Un__eq2,axiom,
% 178.32/178.18 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_bot__empty__eq2,axiom,
% 178.32/178.18 ! [V_y_2,V_x_2,T_c,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_inf__Int__eq2,axiom,
% 178.32/178.18 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_inf__Int__eq,axiom,
% 178.32/178.18 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_sup__Un__eq,axiom,
% 178.32/178.18 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_bot__fun__def,axiom,
% 178.32/178.18 ! [V_x_2,T_c,T_b] :
% 178.32/178.18 ( class_Orderings_Obot(T_b)
% 178.32/178.18 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_bot__empty__eq,axiom,
% 178.32/178.18 ! [V_x_2,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_abs__setsum__abs,axiom,
% 178.32/178.18 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.32/178.18 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 178.32/178.18 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_setsum__divide__distrib,axiom,
% 178.32/178.18 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 178.32/178.18 ( class_Fields_Ofield(T_b)
% 178.32/178.18 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Rings_Oinverse__class_Odivide(T_b)),V_f_2)),V_r_2)),V_A_2) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_fold__image__def,axiom,
% 178.32/178.18 ! [V_g_2,V_f_2,T_c,T_b] : hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2) = c_Finite__Set_Ofold(T_c,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_int__setsum,axiom,
% 178.32/178.18 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_setsum__0,axiom,
% 178.32/178.18 ! [V_A_2,T_c,T_b] :
% 178.32/178.18 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.32/178.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_fun__diff__def,axiom,
% 178.32/178.18 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 178.32/178.18 ( class_Groups_Ominus(T_b)
% 178.32/178.18 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,T_b)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_setsum__subtractf,axiom,
% 178.32/178.18 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 178.32/178.18 ( class_Groups_Oab__group__add(T_b)
% 178.32/178.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_int__setprod,axiom,
% 178.32/178.18 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_setsum_Odistrib,axiom,
% 178.32/178.18 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 178.32/178.18 ( class_Groups_Ocomm__monoid__add(T_c)
% 178.32/178.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.32/178.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Oplus__class_Oplus(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),V_A_2)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_setprod_Odistrib,axiom,
% 178.32/178.18 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 178.32/178.18 ( class_Groups_Ocomm__monoid__mult(T_c)
% 178.32/178.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.32/178.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_A_2)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_less__eq__Suc__le__raw,axiom,
% 178.32/178.18 ! [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)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_nat__number__of__Bit0,axiom,
% 178.32/178.18 ! [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))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_setprod__dividef,axiom,
% 178.32/178.18 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 178.32/178.18 ( class_Fields_Ofield__inverse__zero(T_c)
% 178.32/178.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.32/178.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Rings_Oinverse__class_Odivide(T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_nat_Osize_I1_J,axiom,
% 178.32/178.18 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__nat__setsum,axiom,
% 178.32/178.18 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.32/178.18 ( class_Rings_Osemiring__1(T_b)
% 178.32/178.18 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 178.32/178.18 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_card__eq__setsum,axiom,
% 178.32/178.18 ! [V_A_2,T_b] : hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_A_2) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__nat__setprod,axiom,
% 178.32/178.18 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.32/178.18 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 178.32/178.18 & class_Rings_Osemiring__1(T_b) )
% 178.32/178.18 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 178.32/178.18 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_setsum__delta_H,axiom,
% 178.32/178.18 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 178.32/178.18 ( class_Groups_Ocomm__monoid__add(T_c)
% 178.32/178.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 178.32/178.18 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 178.32/178.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 178.32/178.18 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 178.32/178.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_setsum__delta,axiom,
% 178.32/178.18 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 178.32/178.18 ( class_Groups_Ocomm__monoid__add(T_c)
% 178.32/178.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 178.32/178.18 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 178.32/178.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 178.32/178.18 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 178.32/178.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_setprod__delta,axiom,
% 178.32/178.18 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 178.32/178.18 ( class_Groups_Ocomm__monoid__mult(T_c)
% 178.32/178.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 178.32/178.18 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 178.32/178.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 178.32/178.18 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 178.32/178.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_setprod__delta_H,axiom,
% 178.32/178.18 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 178.32/178.18 ( class_Groups_Ocomm__monoid__mult(T_c)
% 178.32/178.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 178.32/178.18 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 178.32/178.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 178.32/178.18 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 178.32/178.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_setsum__constant,axiom,
% 178.32/178.18 ! [V_A_2,V_y_2,T_c,T_b] :
% 178.32/178.18 ( class_Rings_Osemiring__1(T_b)
% 178.32/178.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_y_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))),V_y_2) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__number__of__even,axiom,
% 178.32/178.18 ! [V_w_2,V_z_2,T_b] :
% 178.32/178.18 ( class_Int_Onumber__ring(T_b)
% 178.32/178.18 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_fold__image__distrib,axiom,
% 178.32/178.18 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 178.32/178.18 ( class_Groups_Ocomm__monoid__mult(T_c)
% 178.32/178.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.32/178.18 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),c_Groups_Oone__class_Oone(T_c)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_setprod__constant,axiom,
% 178.32/178.18 ! [V_y_2,V_A_2,T_b,T_c] :
% 178.32/178.18 ( class_Groups_Ocomm__monoid__mult(T_c)
% 178.32/178.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.32/178.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_COMBK(T_c,T_b),V_y_2)),V_A_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_y_2),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_zpower__number__of__even,axiom,
% 178.32/178.18 ! [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))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_disj,axiom,
% 178.32/178.18 ! [V_Q_H_2,V_P_H_2,V_Qa_2,V_c_2,V_Pa_2,V_Ga_2,T_b] :
% 178.32/178.18 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 178.32/178.18 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_H_2),V_c_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 178.32/178.18 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(hAPP(c_COMBS(T_b,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_b),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_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fdisj)),V_Pa_2))),V_P_H_2)),V_c_2),hAPP(hAPP(c_COMBS(T_b,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_b),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_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fdisj)),V_Qa_2))),V_Q_H_2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_falseE,axiom,
% 178.32/178.18 ! [V_Qa_2,V_c_2,V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_trueI,axiom,
% 178.32/178.18 ! [V_c_2,V_Pa_2,V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fTrue)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Powp__Pow__eq,axiom,
% 178.32/178.18 ! [V_x_2,V_A_2,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_setsum__restrict__set,axiom,
% 178.32/178.18 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 178.32/178.18 ( class_Groups_Ocomm__monoid__add(T_c)
% 178.32/178.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.32/178.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__number__of__even__number__of,axiom,
% 178.32/178.18 ! [V_w_2,V_v_2,T_b] :
% 178.32/178.18 ( class_Int_Onumber__ring(T_b)
% 178.32/178.18 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_card__def,axiom,
% 178.32/178.18 ! [V_A_2,T_b] :
% 178.32/178.18 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.32/178.18 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_b,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) )
% 178.32/178.18 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.32/178.18 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_card_Oeq__fold__g,axiom,
% 178.32/178.18 ! [V_A_2,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.32/178.18 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_b,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_fun__left__comm__idem__remove,axiom,
% 178.32/178.18 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_diff__nat__eq__if,axiom,
% 178.32/178.18 ! [V_z_2,V_z_H_2] :
% 178.32/178.18 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 178.32/178.18 => 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) )
% 178.32/178.18 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 178.32/178.18 => 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)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_negDivAlg__div__mod,axiom,
% 178.32/178.18 ! [V_l,V_k] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 178.32/178.18 => 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)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_negDivAlg__minus1,axiom,
% 178.32/178.18 ! [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))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_LoopF,axiom,
% 178.32/178.18 ! [V_c_2,V_b_2,V_Pa_2,V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(hAPP(c_COMBC(T_b,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_b),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_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),V_Pa_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_c_2)),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_adjust__eq,axiom,
% 178.32/178.18 ! [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))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_minus__fold__remove,axiom,
% 178.32/178.18 ! [V_B_2,V_A_2,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.32/178.18 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2),V_A_2) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_eq__number__of__Suc,axiom,
% 178.32/178.18 ! [V_n_2,V_v_2] :
% 178.32/178.18 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2)
% 178.32/178.18 <=> 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))))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Suc__eq__number__of,axiom,
% 178.32/178.18 ! [V_v_2,V_n_2] :
% 178.32/178.18 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 178.32/178.18 <=> 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))))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_nat__number__of__Bit1,axiom,
% 178.32/178.18 ! [V_w_2] :
% 178.32/178.18 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 178.32/178.18 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 178.32/178.18 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 178.32/178.18 => 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)))) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_less__Suc__number__of,axiom,
% 178.32/178.18 ! [V_v_2,V_n_2] :
% 178.32/178.18 ( 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)))
% 178.32/178.18 <=> 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))))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_less__number__of__Suc,axiom,
% 178.32/178.18 ! [V_n_2,V_v_2] :
% 178.32/178.18 ( 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)))
% 178.32/178.18 <=> 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)))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_le__number__of__Suc,axiom,
% 178.32/178.18 ! [V_n_2,V_v_2] :
% 178.32/178.18 ( 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)))
% 178.32/178.18 <=> 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)))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_le__Suc__number__of,axiom,
% 178.32/178.18 ! [V_v_2,V_n_2] :
% 178.32/178.18 ( 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)))
% 178.32/178.18 <=> 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))))) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__number__of__odd,axiom,
% 178.32/178.18 ! [V_z_2,V_w_2,T_b] :
% 178.32/178.18 ( class_Int_Onumber__ring(T_b)
% 178.32/178.18 => ( ( 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)))
% 178.32/178.18 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2))),c_COMBI(T_b))) )
% 178.32/178.18 & ( ~ 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)))
% 178.32/178.18 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_setprod__gen__delta,axiom,
% 178.32/178.18 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 178.32/178.18 ( class_Groups_Ocomm__monoid__mult(T_c)
% 178.32/178.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 178.32/178.18 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 178.32/178.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_c_2)),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_b_2,V_a_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 178.32/178.18 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 178.32/178.18 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_c_2)),V_S_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_c_2),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)) ) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_zpower__number__of__odd,axiom,
% 178.32/178.18 ! [V_z_2,V_w_2] :
% 178.32/178.18 ( ( 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)))
% 178.32/178.18 => 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))) )
% 178.32/178.18 & ( ~ 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)))
% 178.32/178.18 => 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) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_negDivAlg_Osimps,axiom,
% 178.32/178.18 ! [V_b,V_a] :
% 178.32/178.18 ( ( ( 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)))
% 178.32/178.18 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 178.32/178.18 => 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)) )
% 178.32/178.18 & ( ~ ( 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)))
% 178.32/178.18 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 178.32/178.18 => 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))) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_min__number__of__Suc,axiom,
% 178.32/178.18 ! [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)))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_min__Suc__number__of,axiom,
% 178.32/178.18 ! [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)))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_power__number__of__odd__number__of,axiom,
% 178.32/178.18 ! [V_v_2,V_w_2,T_b] :
% 178.32/178.18 ( class_Int_Onumber__ring(T_b)
% 178.32/178.18 => ( ( 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)))
% 178.32/178.18 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)))),c_COMBI(T_b))) )
% 178.32/178.18 & ( ~ 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)))
% 178.32/178.18 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_code__numeral_Orecs_I1_J,axiom,
% 178.32/178.18 ! [V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ).
% 178.32/178.18
% 178.32/178.18 fof(fact_negDivAlg__eqn,axiom,
% 178.32/178.18 ! [V_a,V_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 178.32/178.18 => ( ( 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)))
% 178.32/178.18 => 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)) )
% 178.32/178.18 & ( ~ 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)))
% 178.32/178.18 => 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))) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_negDivAlg__eqn__number__of,axiom,
% 178.32/178.18 ! [V_w,V_v] :
% 178.32/178.18 ( 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)))
% 178.32/178.18 => ( ( 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))))
% 178.32/178.18 => 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))) )
% 178.32/178.18 & ( ~ 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))))
% 178.32/178.18 => 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)))) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_norm__frac_Osimps,axiom,
% 178.32/178.18 ! [V_a_2,V_b_2] :
% 178.32/178.18 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.18 => 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)) )
% 178.32/178.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.18 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.18 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 178.32/178.18 => 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)) )
% 178.32/178.18 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.18 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 178.32/178.18 => 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))) ) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_nat__case__add__eq__if,axiom,
% 178.32/178.18 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 178.32/178.18 ! [V_w] :
% 178.32/178.18 ( 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)))
% 178.32/178.18 => ( ( 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)))
% 178.32/178.18 => 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)) )
% 178.32/178.18 & ( ~ 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)))
% 178.32/178.18 => 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)))) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_posDivAlg_Osimps,axiom,
% 178.32/178.18 ! [V_b,V_a] :
% 178.32/178.18 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 178.32/178.18 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 178.32/178.18 => 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) )
% 178.32/178.18 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 178.32/178.18 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 178.32/178.18 => 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))) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_sup2E,axiom,
% 178.32/178.18 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 178.32/178.18 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 178.32/178.18 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_sup2CI,axiom,
% 178.32/178.18 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] :
% 178.32/178.18 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 178.32/178.18 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 178.32/178.18 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_inf2I,axiom,
% 178.32/178.18 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 178.32/178.18 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_inf2E,axiom,
% 178.32/178.18 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 178.32/178.18 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 178.32/178.18 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_bot2E,axiom,
% 178.32/178.18 ! [V_y_2,V_x_2,T_c,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_inf2D1,axiom,
% 178.32/178.18 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 178.32/178.18 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_inf2D2,axiom,
% 178.32/178.18 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 178.32/178.18 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_sup2I1,axiom,
% 178.32/178.18 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 178.32/178.18 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_sup2I2,axiom,
% 178.32/178.18 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 178.32/178.18 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_less__by__empty,axiom,
% 178.32/178.18 ! [V_B_2,T_b,V_A_2] :
% 178.32/178.18 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 178.32/178.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_rev__predicate2D,axiom,
% 178.32/178.18 ! [V_Qa_2,T_c,T_b,V_y_2,V_x_2,V_Pa_2] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_Pa_2),V_Qa_2))
% 178.32/178.18 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_predicate2D,axiom,
% 178.32/178.18 ! [V_y_2,V_x_2,V_Qa_2,V_Pa_2,T_c,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_Pa_2),V_Qa_2))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 178.32/178.18 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_nat__case__0,axiom,
% 178.32/178.18 ! [V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 178.32/178.18
% 178.32/178.18 fof(fact_nat__case__Suc,axiom,
% 178.32/178.18 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(V_f2_2,V_nat_2) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_posDivAlg__0,axiom,
% 178.32/178.18 ! [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)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 178.32/178.18 ! [V_n_2,V_m_2] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 178.32/178.18 <=> 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)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_diff__Suc,axiom,
% 178.32/178.18 ! [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)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_min__Suc1,axiom,
% 178.32/178.18 ! [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) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_min__Suc2,axiom,
% 178.32/178.18 ! [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) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_posDivAlg__div__mod,axiom,
% 178.32/178.18 ! [V_l,V_k] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 178.32/178.18 => 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)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_nat__case__number__of,axiom,
% 178.32/178.18 ! [V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_posDivAlg__eqn__number__of,axiom,
% 178.32/178.18 ! [V_w,V_v] :
% 178.32/178.18 ( 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)))
% 178.32/178.18 => ( ( 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)))
% 178.32/178.18 => 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)) )
% 178.32/178.18 & ( ~ 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)))
% 178.32/178.18 => 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)))) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_posDivAlg__eqn,axiom,
% 178.32/178.18 ! [V_a,V_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 178.32/178.18 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 178.32/178.18 => 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) )
% 178.32/178.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 178.32/178.18 => 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))) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_in__rel__def,axiom,
% 178.32/178.18 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2))
% 178.32/178.18 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_R_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_div__mod__code__numeral__def,axiom,
% 178.32/178.18 ! [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)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Nitpick_Orefl_H__def,axiom,
% 178.32/178.18 ! [V_r_2,T_b] :
% 178.32/178.18 ( c_Nitpick_Orefl_H(T_b,V_r_2)
% 178.32/178.18 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_adjust__def,axiom,
% 178.32/178.18 ! [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))))))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__int__num,axiom,
% 178.32/178.18 ! [V_k_2,T_b] :
% 178.32/178.18 ( class_Rings_Oring__1(T_b)
% 178.32/178.18 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.18 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) )
% 178.32/178.18 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.18 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.18 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k_2))) )
% 178.32/178.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.32/178.18 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),T_b),tc_fun(tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),tc_Int_Oint),c_COMBB(tc_fun(T_b,T_b),T_b,tc_Int_Oint)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,T_b),T_b),tc_Int_Oint),c_HOL_OLet(T_b,T_b)),c_Int_Oring__1__class_Oof__int(T_b)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,T_b)),tc_Int_Oint),c_COMBS(T_b,T_b,T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),tc_Int_Oint),c_COMBB(T_b,tc_fun(T_b,T_b),T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Oplus__class_Oplus(T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b)))),c_Groups_Oone__class_Oone(T_b))))),c_Divides_Odivmod__int(V_k_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_divmod__nat__step,axiom,
% 178.32/178.18 ! [V_m,V_n] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 178.32/178.18 => 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)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_nat__rec__add__eq__if,axiom,
% 178.32/178.18 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),V_n_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 178.32/178.18 ! [V_n_2,T_b] :
% 178.32/178.18 ( class_Rings_Osemiring__1(T_b)
% 178.32/178.18 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_Groups_Oone__class_Oone(T_b)),V_n_2,c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_nat__rec__0,axiom,
% 178.32/178.18 ! [V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 178.32/178.18
% 178.32/178.18 fof(fact_nat__rec__Suc,axiom,
% 178.32/178.18 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(hAPP(V_f2_2,V_nat_2),hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),V_nat_2)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_divmod__nat__zero,axiom,
% 178.32/178.18 ! [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) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 178.32/178.18 ! [V_i_2,V_inc_2,T_b] :
% 178.32/178.18 ( class_Rings_Osemiring__1(T_b)
% 178.32/178.18 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2) = V_i_2 ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 178.32/178.18 ! [V_i_2,V_n_2,V_inc_2,T_b] :
% 178.32/178.18 ( class_Rings_Osemiring__1(T_b)
% 178.32/178.18 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,hAPP(c_Nat_OSuc,V_n_2),V_i_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,V_n_2,hAPP(V_inc_2,V_i_2)) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_divmod__nat__base,axiom,
% 178.32/178.18 ! [V_n,V_m] :
% 178.32/178.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 178.32/178.18 => 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) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_divmod__nat__div__mod,axiom,
% 178.32/178.18 ! [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)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_divmod__int__mod__div,axiom,
% 178.32/178.18 ! [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)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_nat__rec__number__of,axiom,
% 178.32/178.18 ! [V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),c_Int_Onat)))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_Nitpick_OFrac__def,axiom,
% 178.32/178.18 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)))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_divmod__int__def,axiom,
% 178.32/178.18 ! [V_b,V_a] :
% 178.32/178.18 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 178.32/178.18 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 178.32/178.18 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 178.32/178.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 178.32/178.18 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.18 => 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)) )
% 178.32/178.18 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.18 => 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))) ) ) ) ) )
% 178.32/178.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 178.32/178.18 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 178.32/178.18 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 178.32/178.18 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 178.32/178.18 => 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))) ) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_divmod__int__pdivmod,axiom,
% 178.32/178.18 ! [V_l_2,V_k_2] :
% 178.32/178.18 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.18 => 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)) )
% 178.32/178.18 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.18 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.18 => 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) )
% 178.32/178.18 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.18 => 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)))) ) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 178.32/178.18 ! [V_c,V_r,V_q,V_b,V_a] :
% 178.32/178.18 ( 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)))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 178.32/178.18 => 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)))) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_negateSnd__def,axiom,
% 178.32/178.18 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_divmod__nat__rel__unique,axiom,
% 178.32/178.18 ! [V_qr_H,V_qr,V_n,V_m] :
% 178.32/178.18 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 178.32/178.18 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 178.32/178.18 => V_qr = V_qr_H ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_divmod__nat__eq,axiom,
% 178.32/178.18 ! [V_qr,V_n,V_m] :
% 178.32/178.18 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 178.32/178.18 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 178.32/178.18 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_mod__eq,axiom,
% 178.32/178.18 ! [V_r,V_q,V_n,V_m] :
% 178.32/178.18 ( 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)))
% 178.32/178.18 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_div__eq,axiom,
% 178.32/178.18 ! [V_r,V_q,V_n,V_m] :
% 178.32/178.18 ( 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)))
% 178.32/178.18 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_negateSnd__eq,axiom,
% 178.32/178.18 ! [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)) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_divmod__nat__rel,axiom,
% 178.32/178.18 ! [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)))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 178.32/178.18 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 178.32/178.18 ( 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)))
% 178.32/178.18 => ( 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)))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 178.32/178.18 => 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)))) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_pdivmod__def,axiom,
% 178.32/178.18 ! [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))) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_pdivmod__posDivAlg,axiom,
% 178.32/178.18 ! [V_k,V_l] :
% 178.32/178.18 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.18 => 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)) )
% 178.32/178.18 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.18 => 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)) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_divmod__int__code,axiom,
% 178.32/178.18 ! [V_l_2,V_k_2] :
% 178.32/178.18 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.18 => 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)) )
% 178.32/178.18 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.18 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.18 => 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) )
% 178.32/178.18 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.32/178.18 => 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)))) ) ) ) ) ).
% 178.32/178.18
% 178.32/178.18 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 178.32/178.18 ! [V_a,V_r,V_q,V_c,V_b] :
% 178.32/178.18 ( 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)))
% 178.32/178.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 178.32/178.19 => 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)))) ) ) ).
% 178.32/178.19
% 178.32/178.19 fof(fact_splitI,axiom,
% 178.32/178.19 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] :
% 178.32/178.19 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2))
% 178.32/178.19 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 178.32/178.19
% 178.32/178.19 fof(fact_prod__caseI,axiom,
% 178.32/178.19 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] :
% 178.32/178.19 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2))
% 178.32/178.19 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 178.32/178.19
% 178.32/178.19 fof(fact_negDivAlg_Opsimps,axiom,
% 178.32/178.19 ! [V_b_2,V_a_2] :
% 178.32/178.19 ( 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)))
% 178.32/178.19 => ( ( ( 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)))
% 178.32/178.19 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 178.32/178.19 => 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)) )
% 178.32/178.19 & ( ~ ( 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)))
% 178.32/178.19 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 178.32/178.19 => 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))) ) ) ) ).
% 178.32/178.19
% 178.32/178.19 fof(fact_dual__max,axiom,
% 178.32/178.19 ! [T_b] :
% 178.32/178.19 ( class_Orderings_Olinorder(T_b)
% 178.32/178.19 => c_Orderings_Oord_Omax(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 178.32/178.19
% 178.32/178.19 fof(fact_accp_Osimps,axiom,
% 178.32/178.19 ! [V_a_2,V_r_2,T_b] :
% 178.32/178.19 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 178.32/178.19 <=> ! [B_x] :
% 178.32/178.19 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 178.32/178.19 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 178.32/178.19
% 178.32/178.19 fof(fact_accp_Oequations,axiom,
% 178.32/178.19 ! [V_a_2,V_r_2,T_b] :
% 178.32/178.19 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 178.32/178.19 <=> ! [B_x] :
% 178.32/178.19 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 178.32/178.19 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 178.32/178.19
% 178.32/178.19 fof(fact_accp__downward,axiom,
% 178.32/178.19 ! [V_a_2,V_b_2,V_r_2,T_b] :
% 178.32/178.19 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2))
% 178.32/178.19 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 178.32/178.19 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ).
% 178.32/178.19
% 178.32/178.19 fof(fact_accp__subset,axiom,
% 178.32/178.19 ! [V_R2_2,V_R1_2,T_b] :
% 178.32/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_R1_2),V_R2_2))
% 178.32/178.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oaccp(T_b,V_R2_2)),c_Wellfounded_Oaccp(T_b,V_R1_2))) ) ).
% 178.32/178.19
% 178.32/178.19 fof(fact_Pair__inject,axiom,
% 178.32/178.19 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 178.32/178.19 ( 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)
% 178.32/178.19 => ~ ( V_a = V_a_H
% 178.32/178.19 => V_b != V_b_H ) ) ).
% 178.32/178.19
% 178.32/178.19 fof(fact_Pair__eq,axiom,
% 178.32/178.19 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 178.32/178.19 ( hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2)
% 178.32/178.19 <=> ( V_a_2 = V_a_H_2
% 178.38/178.19 & V_b_2 = V_b_H_2 ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_split__paired__All,axiom,
% 178.38/178.19 ! [T_c,T_b,V_Pa_2] :
% 178.38/178.19 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 178.38/178.19 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_split__weak__cong,axiom,
% 178.38/178.19 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] :
% 178.38/178.19 ( V_p_2 = V_q_2
% 178.38/178.19 => hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_c_2),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_c_2),V_q_2) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_prod_Osimps_I2_J,axiom,
% 178.38/178.19 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_split__conv,axiom,
% 178.38/178.19 ! [V_b_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f_2,V_a_2),V_b_2) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_splitD,axiom,
% 178.38/178.19 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 178.38/178.19 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_apsnd__conv,axiom,
% 178.38/178.19 ! [V_y_2,V_x_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),hAPP(V_f_2,V_y_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_split__eta,axiom,
% 178.38/178.19 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,T_d),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),T_d,T_c),V_f_2)),c_Product__Type_OPair(T_b,T_c))) = V_f_2 ).
% 178.38/178.19
% 178.38/178.19 fof(fact_split__twice,axiom,
% 178.38/178.19 ! [V_p_2,V_g_2,T_f,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,tc_prod(T_c,T_d)),V_g_2),V_p_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_f,tc_prod(T_c,T_d)),tc_fun(T_f,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_f),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2))),V_g_2)),V_p_2) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_posDivAlg_Opsimps,axiom,
% 178.38/178.19 ! [V_b_2,V_a_2] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 178.38/178.19 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 178.38/178.19 => 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) )
% 178.38/178.19 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 178.38/178.19 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 178.38/178.19 => 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))) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_norm__frac_Opsimps,axiom,
% 178.38/178.19 ! [V_b_2,V_a_2] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.38/178.19 => 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)) )
% 178.38/178.19 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.38/178.19 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.38/178.19 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 178.38/178.19 => 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)) )
% 178.38/178.19 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.38/178.19 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 178.38/178.19 => 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))) ) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_negDivAlg_Opinduct,axiom,
% 178.38/178.19 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ( ! [B_a,B_b] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ( ( ~ ( 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)))
% 178.38/178.19 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 178.38/178.19 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) )
% 178.38/178.19 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 178.38/178.19 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_zmult2__lemma,axiom,
% 178.38/178.19 ! [V_c,V_r,V_q,V_b,V_a] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 178.38/178.19 => 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)))) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_mem__splitI,axiom,
% 178.38/178.19 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2)))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_splitD_H,axiom,
% 178.38/178.19 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_R_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_c_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_divmod__int__rel__0,axiom,
% 178.38/178.19 ! [V_b] :
% 178.38/178.19 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.38/178.19 => 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)))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_self__remainder,axiom,
% 178.38/178.19 ! [V_r,V_q,V_a] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.38/178.19 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_unique__quotient,axiom,
% 178.38/178.19 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ( 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)))
% 178.38/178.19 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.38/178.19 => V_q = V_q_H ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_unique__remainder,axiom,
% 178.38/178.19 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ( 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)))
% 178.38/178.19 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.38/178.19 => V_r = V_r_H ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_divmod__int__rel__neg,axiom,
% 178.38/178.19 ! [V_qr,V_b,V_a] :
% 178.38/178.19 ( 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))
% 178.38/178.19 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_divmod__int__correct,axiom,
% 178.38/178.19 ! [V_a,V_b] :
% 178.38/178.19 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.38/178.19 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_self__quotient,axiom,
% 178.38/178.19 ! [V_r,V_q,V_a] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.38/178.19 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_divmod__int__rel__mod,axiom,
% 178.38/178.19 ! [V_r,V_q,V_b,V_a] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.38/178.19 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_divmod__int__rel__div,axiom,
% 178.38/178.19 ! [V_r,V_q,V_b,V_a] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.38/178.19 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_negDivAlg__correct,axiom,
% 178.38/178.19 ! [V_b,V_a] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 178.38/178.19 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_divmod__int__rel__div__mod,axiom,
% 178.38/178.19 ! [V_a,V_b] :
% 178.38/178.19 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.38/178.19 => 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)))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_posDivAlg__correct,axiom,
% 178.38/178.19 ! [V_b,V_a] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 178.38/178.19 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_zadd1__lemma,axiom,
% 178.38/178.19 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ( 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)))
% 178.38/178.19 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.38/178.19 => 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)))) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_zminus1__lemma,axiom,
% 178.38/178.19 ! [V_r_2,V_q_2,V_b_2,V_a_2] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => 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))))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_divmod__nat__if,axiom,
% 178.38/178.19 ! [V_m_2,V_n_2] :
% 178.38/178.19 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.38/178.19 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 178.38/178.19 => 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) )
% 178.38/178.19 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.38/178.19 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 178.38/178.19 => 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)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_divmod__int__relI,axiom,
% 178.38/178.19 ! [V_r,V_q,V_b,V_a] :
% 178.38/178.19 ( 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)
% 178.38/178.19 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 178.38/178.19 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 178.38/178.19 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 178.38/178.19 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 178.38/178.19 => 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))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_zmult1__lemma,axiom,
% 178.38/178.19 ! [V_a,V_r,V_q,V_c,V_b] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 178.38/178.19 => 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)))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_divmod__int__rel__def,axiom,
% 178.38/178.19 ! [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))))))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_posDivAlg_Opinduct,axiom,
% 178.38/178.19 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ( ! [B_a,B_b] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 178.38/178.19 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 178.38/178.19 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) )
% 178.38/178.19 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 178.38/178.19 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_nat__gcd_Opsimps,axiom,
% 178.38/178.19 ! [V_y_2,V_x_2] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.38/178.19 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 178.38/178.19 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.38/178.19 => 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)) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 178.38/178.19 ! [V_f_2,V_A_2,T_b] :
% 178.38/178.19 ( ! [B_x] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.38/178.19 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 178.38/178.19 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_mod__pos__neg__1__number__of,axiom,
% 178.38/178.19 ! [V_w] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => 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))))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_snd__conv,axiom,
% 178.38/178.19 ! [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 ).
% 178.38/178.19
% 178.38/178.19 fof(fact_snd__eqD,axiom,
% 178.38/178.19 ! [V_a,V_y,V_x,T_a,T_b] :
% 178.38/178.19 ( 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
% 178.38/178.19 => V_y = V_a ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_snd__apsnd,axiom,
% 178.38/178.19 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_apsnd__eq__conv,axiom,
% 178.38/178.19 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] :
% 178.38/178.19 ( hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_g_2),V_x_2)
% 178.38/178.19 <=> hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_snd__def,axiom,
% 178.38/178.19 ! [V_p_2,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_b),hAPP(c_COMBK(tc_fun(T_b,T_b),T_c),c_COMBI(T_b))),V_p_2) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_mod__int__def,axiom,
% 178.38/178.19 ! [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)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_mod__neg__pos,axiom,
% 178.38/178.19 ! [V_b,V_a] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 178.38/178.19 => 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)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_mod__pos__pos,axiom,
% 178.38/178.19 ! [V_b,V_a] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 178.38/178.19 => 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)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_mod__pos__pos__1__number__of,axiom,
% 178.38/178.19 ! [V_w] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => 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))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_mod__pos__neg,axiom,
% 178.38/178.19 ! [V_b,V_a] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.38/178.19 => 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)))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_mod__neg__neg,axiom,
% 178.38/178.19 ! [V_b,V_a] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.38/178.19 => 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)))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_in__measure,axiom,
% 178.38/178.19 ! [V_f_2,V_y_2,V_x_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)))
% 178.38/178.19 <=> 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))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 178.38/178.19 ! [V_f_2,V_A_2,T_b] :
% 178.38/178.19 ( ! [B_x] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.38/178.19 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 178.38/178.19 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_norm__frac_Opinduct,axiom,
% 178.38/178.19 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ( ! [B_a,B_b] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.38/178.19 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_b))) )
% 178.38/178.19 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 178.38/178.19 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_div__pos__neg__1__number__of,axiom,
% 178.38/178.19 ! [V_w] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => 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))))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Pair__fst__snd__eq,axiom,
% 178.38/178.19 ! [T_c,T_b,V_t_2,V_s_2] :
% 178.38/178.19 ( V_s_2 = V_t_2
% 178.38/178.19 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2)
% 178.38/178.19 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_prod__eqI,axiom,
% 178.38/178.19 ! [V_q,V_p,T_b,T_a] :
% 178.38/178.19 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 178.38/178.19 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 178.38/178.19 => V_p = V_q ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_fst__eqD,axiom,
% 178.38/178.19 ! [V_a,V_y,V_x,T_b,T_a] :
% 178.38/178.19 ( 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
% 178.38/178.19 => V_x = V_a ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_fst__conv,axiom,
% 178.38/178.19 ! [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 ).
% 178.38/178.19
% 178.38/178.19 fof(fact_fst__apsnd,axiom,
% 178.38/178.19 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Ofst(T_b,T_d),V_x_2) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_fst__def,axiom,
% 178.38/178.19 ! [V_p_2,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_b),c_COMBK(T_b,T_c)),V_p_2) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_pair__collapse,axiom,
% 178.38/178.19 ! [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 ).
% 178.38/178.19
% 178.38/178.19 fof(fact_surjective__pairing,axiom,
% 178.38/178.19 ! [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)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_prod__case__beta,axiom,
% 178.38/178.19 ! [V_p_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),V_p_2) = hAPP(hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_div__int__def,axiom,
% 178.38/178.19 ! [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)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_mod__nat__def,axiom,
% 178.38/178.19 ! [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)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_split__comp__eq,axiom,
% 178.38/178.19 ! [V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),tc_prod(T_b,T_c)),V_f_2),hAPP(hAPP(c_COMBB(T_b,T_e,tc_prod(T_b,T_c)),V_g_2),c_Product__Type_Ofst(T_b,T_c)))),c_Product__Type_Osnd(T_b,T_c)) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),T_b),V_f_2),V_g_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_split__beta,axiom,
% 178.38/178.19 ! [V_z_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_Pa_2),V_z_2) = hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_z_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_z_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_split__def,axiom,
% 178.38/178.19 ! [V_p_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_c_2),V_p_2) = hAPP(hAPP(V_c_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_div__neg__pos,axiom,
% 178.38/178.19 ! [V_b,V_a] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 178.38/178.19 => 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)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_div__pos__pos,axiom,
% 178.38/178.19 ! [V_b,V_a] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 178.38/178.19 => 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)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_div__pos__pos__1__number__of,axiom,
% 178.38/178.19 ! [V_w] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => 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))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_div__pos__neg,axiom,
% 178.38/178.19 ! [V_b,V_a] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.38/178.19 => 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)))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_div__neg__neg,axiom,
% 178.38/178.19 ! [V_b,V_a] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 178.38/178.19 => 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)))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_prod__size__simp,axiom,
% 178.38/178.19 ! [V_p_2,V_g_2,V_f_2,T_c,T_b] : c_Product__Type_Oprod_Oprod__size(T_b,T_c,V_f_2,V_g_2,V_p_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_conjI__realizer,axiom,
% 178.38/178.19 ! [T_c,T_b,V_q_2,V_Qa_2,V_p_2,V_Pa_2] :
% 178.38/178.19 ( hBOOL(hAPP(V_Pa_2,V_p_2))
% 178.38/178.19 => ( hBOOL(hAPP(V_Qa_2,V_q_2))
% 178.38/178.19 => ( hBOOL(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2))))
% 178.38/178.19 & hBOOL(hAPP(V_Qa_2,hAPP(c_Product__Type_Osnd(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_exI__realizer,axiom,
% 178.38/178.19 ! [T_b,T_c,V_x_2,V_y_2,V_Pa_2] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_nat__gcd_Opinduct,axiom,
% 178.38/178.19 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ( ! [B_x,B_y] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.38/178.19 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 178.38/178.19 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) )
% 178.38/178.19 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_div__nat__def,axiom,
% 178.38/178.19 ! [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)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_divmod__nat__rel__def,axiom,
% 178.38/178.19 ! [V_qr_2,V_n_2,V_m_2] :
% 178.38/178.19 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2))
% 178.38/178.19 <=> ( 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))
% 178.38/178.19 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.38/178.19 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 178.38/178.19 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.38/178.19 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 178.38/178.19 => ( 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)))
% 178.38/178.19 & 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)) ) )
% 178.38/178.19 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 178.38/178.19 => ( 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)))
% 178.38/178.19 & 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))) ) ) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_range,axiom,
% 178.38/178.19 ! [V_s,V_k] :
% 178.38/178.19 ( 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))
% 178.38/178.19 => 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)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_arith__series__int,axiom,
% 178.38/178.19 ! [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)))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_mlex__leq,axiom,
% 178.38/178.19 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_mlex__less,axiom,
% 178.38/178.19 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_finite__lessThan,axiom,
% 178.38/178.19 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_lessThan__0,axiom,
% 178.38/178.19 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)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_card__lessThan,axiom,
% 178.38/178.19 ! [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 ).
% 178.38/178.19
% 178.38/178.19 fof(fact_lessThan__Suc,axiom,
% 178.38/178.19 ! [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)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_lessThan__eq__iff,axiom,
% 178.38/178.19 ! [V_y_2,V_x_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)
% 178.38/178.19 <=> V_x_2 = V_y_2 ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_lessThan__iff,axiom,
% 178.38/178.19 ! [V_k_2,V_i_2,T_b] :
% 178.38/178.19 ( class_Orderings_Oord(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)))
% 178.38/178.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_lessThan__subset__iff,axiom,
% 178.38/178.19 ! [V_y_2,V_x_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)))
% 178.38/178.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_setsum__lessThan__Suc,axiom,
% 178.38/178.19 ! [V_n_2,V_f_2,T_b] :
% 178.38/178.19 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.38/178.19 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,V_n_2)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_lessThan__strict__subset__iff,axiom,
% 178.38/178.19 ! [V_n_2,V_m_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_m_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_n_2)))
% 178.38/178.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_n_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_single__Diff__lessThan,axiom,
% 178.38/178.19 ! [V_k_2,T_b] :
% 178.38/178.19 ( class_Orderings_Oorder(T_b)
% 178.38/178.19 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_finite__nat__set__iff__bounded,axiom,
% 178.38/178.19 ! [V_N_2] :
% 178.38/178.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 178.38/178.19 <=> ? [B_m] :
% 178.38/178.19 ! [B_x] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 178.38/178.19 ! [V_N_2] :
% 178.38/178.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 178.38/178.19 <=> ? [B_m] :
% 178.38/178.19 ! [B_x] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_arith__series__general,axiom,
% 178.38/178.19 ! [V_n_2,V_d_2,V_a_2,T_b] :
% 178.38/178.19 ( class_Rings_Ocomm__semiring__1(T_b)
% 178.38/178.19 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(T_b)),c_Nat_Osemiring__1__class_Oof__nat(T_b))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_arith__series__nat,axiom,
% 178.38/178.19 ! [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)))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_nat_Osize_I4_J,axiom,
% 178.38/178.19 ! [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))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_prod_Orecs,axiom,
% 178.38/178.19 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Product__Type_Oprod_Oprod__rec(T_c,T_d,T_b,V_f1_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_ord_OatMost__iff,axiom,
% 178.38/178.19 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2)))
% 178.38/178.19 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_ord_OatLeast__iff,axiom,
% 178.38/178.19 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2)))
% 178.38/178.19 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_nat__size,axiom,
% 178.38/178.19 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 178.38/178.19
% 178.38/178.19 fof(fact_infinite__UNIV__nat,axiom,
% 178.38/178.19 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_nat_Osize_I3_J,axiom,
% 178.38/178.19 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) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 178.38/178.19 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThanAtMost(T_b,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 178.38/178.19 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 178.38/178.19 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 178.38/178.19 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeastLessThan(T_b,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 178.38/178.19 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 178.38/178.19 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 178.38/178.19 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThanLessThan(T_b,V_less_2,V_l_2,V_u_2)))
% 178.38/178.19 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 178.38/178.19 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 178.38/178.19 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeastAtMost(T_b,V_less__eq_2,V_l_2,V_u_2)))
% 178.38/178.19 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 178.38/178.19 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_ord_OlessThan__iff,axiom,
% 178.38/178.19 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2)))
% 178.38/178.19 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_ord_OgreaterThan__iff,axiom,
% 178.38/178.19 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2)))
% 178.38/178.19 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_in__lex__prod,axiom,
% 178.38/178.19 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_b,T_c,V_r_2,V_s_2)))
% 178.38/178.19 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_H_2)),V_r_2))
% 178.38/178.19 | ( V_a_2 = V_a_H_2
% 178.38/178.19 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_b_2),V_b_H_2)),V_s_2)) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_in__finite__psubset,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Ofinite__psubset(T_b)))
% 178.38/178.19 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 178.38/178.19 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_same__fstI,axiom,
% 178.38/178.19 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_Pa_2] :
% 178.38/178.19 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y_H_2),V_y_2)),hAPP(V_R_2,V_x_2)))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_setsum__nonneg__0,axiom,
% 178.38/178.19 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] :
% 178.38/178.19 ( class_Groups_Oordered__ab__group__add(T_c)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 178.38/178.19 => ( ! [B_i] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 178.38/178.19 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = c_Groups_Ozero__class_Ozero(T_c)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 178.38/178.19 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_setsum__nonneg__leq__bound,axiom,
% 178.38/178.19 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] :
% 178.38/178.19 ( class_Groups_Oordered__ab__group__add(T_c)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 178.38/178.19 => ( ! [B_i] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 178.38/178.19 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_max__Suc__number__of,axiom,
% 178.38/178.19 ! [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)))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_sup__nat__def,axiom,
% 178.38/178.19 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_sup__max,axiom,
% 178.38/178.19 ! [T_b] :
% 178.38/178.19 ( ( class_Lattices_Osemilattice__sup(T_b)
% 178.38/178.19 & class_Orderings_Olinorder(T_b) )
% 178.38/178.19 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_le__max__iff__disj,axiom,
% 178.38/178.19 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)))
% 178.38/178.19 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2))
% 178.38/178.19 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Ole__supE,axiom,
% 178.38/178.19 ! [V_x,V_b,V_a,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => ( 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))
% 178.38/178.19 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 178.38/178.19 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Osup__mono,axiom,
% 178.38/178.19 ! [V_d,V_b,V_c,V_a,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 178.38/178.19 => 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))) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Osup__least,axiom,
% 178.38/178.19 ! [V_z,V_x,V_y,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 178.38/178.19 => 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)) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Ole__supI,axiom,
% 178.38/178.19 ! [V_b,V_x,V_a,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 178.38/178.19 => 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)) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Osup__absorb1,axiom,
% 178.38/178.19 ! [V_x,V_y,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 178.38/178.19 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Osup__absorb2,axiom,
% 178.38/178.19 ! [V_y,V_x,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 178.38/178.19 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Ole__supI2,axiom,
% 178.38/178.19 ! [V_a,V_b,V_x,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 178.38/178.19 => 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))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Ole__supI1,axiom,
% 178.38/178.19 ! [V_b,V_a,V_x,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 178.38/178.19 => 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))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Ole__sup__iff,axiom,
% 178.38/178.19 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2))
% 178.38/178.19 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 178.38/178.19 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Ole__iff__sup,axiom,
% 178.38/178.19 ! [V_y_2,V_x_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 178.38/178.19 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_le__maxI2,axiom,
% 178.38/178.19 ! [V_x,V_y,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => 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))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_le__maxI1,axiom,
% 178.38/178.19 ! [V_y,V_x,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => 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))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_max__add__distrib__left,axiom,
% 178.38/178.19 ! [V_z,V_y,V_x,T_a] :
% 178.38/178.19 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 178.38/178.19 => 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)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_max__less__iff__conj,axiom,
% 178.38/178.19 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2))
% 178.38/178.19 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 178.38/178.19 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_less__max__iff__disj,axiom,
% 178.38/178.19 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)))
% 178.38/178.19 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 178.38/178.19 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Oless__supI2,axiom,
% 178.38/178.19 ! [V_a,V_b,V_x,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 178.38/178.19 => 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))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Oless__supI1,axiom,
% 178.38/178.19 ! [V_b,V_a,V_x,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 178.38/178.19 => 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))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_max__diff__distrib__left,axiom,
% 178.38/178.19 ! [V_z,V_y,V_x,T_a] :
% 178.38/178.19 ( class_Groups_Oordered__ab__group__add(T_a)
% 178.38/178.19 => 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)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_max__0R,axiom,
% 178.38/178.19 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 178.38/178.19
% 178.38/178.19 fof(fact_max__0L,axiom,
% 178.38/178.19 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Max_Oidem,axiom,
% 178.38/178.19 ! [V_x,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Osup__assoc,axiom,
% 178.38/178.19 ! [V_z,V_y,V_x,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => 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)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Osup_Oassoc,axiom,
% 178.38/178.19 ! [V_c,V_b,V_a,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => 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)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Osup__left__commute,axiom,
% 178.38/178.19 ! [V_z,V_y,V_x,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => 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)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 178.38/178.19 ! [V_c,V_a,V_b,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => 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)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Osup__left__idem,axiom,
% 178.38/178.19 ! [V_y,V_x,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => 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) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 178.38/178.19 ! [V_b,V_a,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => 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) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Osup__commute,axiom,
% 178.38/178.19 ! [V_y,V_x,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => 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) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Osup_Ocommute,axiom,
% 178.38/178.19 ! [V_b,V_a,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => 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) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Osup_Oidem,axiom,
% 178.38/178.19 ! [V_a,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Osup__inf__absorb,axiom,
% 178.38/178.19 ! [V_y,V_x,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => 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 ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 178.38/178.19 ! [V_y,V_x,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => 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 ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 178.38/178.19 ! [V_z,V_y,V_x,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => 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)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 178.38/178.19 ! [V_z,V_y,V_x,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => 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)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 178.38/178.19 ! [V_x,V_z,V_y,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => 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)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 178.38/178.19 ! [V_x,V_z,V_y,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => 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)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_max__Suc__Suc,axiom,
% 178.38/178.19 ! [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)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 178.38/178.19 ! [T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_max__number__of,axiom,
% 178.38/178.19 ! [V_v,V_u,T_b] :
% 178.38/178.19 ( ( class_Int_Onumber(T_b)
% 178.38/178.19 & class_Orderings_Oord(T_b) )
% 178.38/178.19 => ( ( 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)))
% 178.38/178.19 => 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) )
% 178.38/178.19 & ( ~ 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)))
% 178.38/178.19 => 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) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Odistrib__inf__le,axiom,
% 178.38/178.19 ! [V_z,V_y,V_x,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => 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)))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Odistrib__sup__le,axiom,
% 178.38/178.19 ! [V_z,V_y,V_x,T_a] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_a)
% 178.38/178.19 => 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)))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_minus__min__eq__max,axiom,
% 178.38/178.19 ! [V_y,V_x,T_a] :
% 178.38/178.19 ( class_Groups_Olinordered__ab__group__add(T_a)
% 178.38/178.19 => 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)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_minus__max__eq__min,axiom,
% 178.38/178.19 ! [V_y,V_x,T_a] :
% 178.38/178.19 ( class_Groups_Olinordered__ab__group__add(T_a)
% 178.38/178.19 => 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)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_nat__minus__add__max,axiom,
% 178.38/178.19 ! [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) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_max__Suc1,axiom,
% 178.38/178.19 ! [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) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_max__Suc2,axiom,
% 178.38/178.19 ! [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) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_max__ord__max,axiom,
% 178.38/178.19 ! [T_b] :
% 178.38/178.19 ( class_Orderings_Oord(T_b)
% 178.38/178.19 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Ofold__sup__insert,axiom,
% 178.38/178.19 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),V_A_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_dual__min,axiom,
% 178.38/178.19 ! [T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => c_Orderings_Oord_Omin(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 178.38/178.19 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),V_A_2))) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 178.38/178.19 ! [V_a_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 178.38/178.19 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = V_a_2 ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_max__number__of__Suc,axiom,
% 178.38/178.19 ! [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)))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Max_Oremove,axiom,
% 178.38/178.19 ! [V_x_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.19 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 )
% 178.38/178.19 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_OInf__le__Sup,axiom,
% 178.38/178.19 ! [V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2))) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 178.38/178.19 ! [V_x_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.19 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 )
% 178.38/178.19 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_sum__diff__distrib,axiom,
% 178.38/178.19 ! [V_n_2,V_Pa_2,V_Qa_2] :
% 178.38/178.19 ( ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_Qa_2,B_x)),hAPP(V_Pa_2,B_x)))
% 178.38/178.19 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Pa_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Qa_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_Pa_2)),V_Qa_2)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Max_Osingleton,axiom,
% 178.38/178.19 ! [V_x_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 178.38/178.19 ! [V_x_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.19 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Max__ge,axiom,
% 178.38/178.19 ! [V_x_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2))) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 178.38/178.19 ! [V_x_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Max__in,axiom,
% 178.38/178.19 ! [V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Max_Oin__idem,axiom,
% 178.38/178.19 ! [V_x_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.19 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 178.38/178.19 ! [V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Max_OF__eq,axiom,
% 178.38/178.19 ! [V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 178.38/178.19 ! [V_x_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 178.38/178.19 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 178.38/178.19 ! [V_a_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 178.38/178.19 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = V_a_2 ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 178.38/178.19 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Max__mono,axiom,
% 178.38/178.19 ! [V_N_2,V_M_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 178.38/178.19 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_M_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2))) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 178.38/178.19 ! [V_a_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Max__insert,axiom,
% 178.38/178.19 ! [V_x_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Max_Osubset__idem,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 178.38/178.19 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Max__Un,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 178.38/178.19 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 178.38/178.19 ! [V_a_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 178.38/178.19 ! [V_x_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 178.38/178.19 ! [V_x_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 178.38/178.19 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 178.38/178.19 => ( 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))
% 178.38/178.19 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 178.38/178.19 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => ( 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))
% 178.38/178.19 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 178.38/178.19 ! [V_x_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.19 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Max_Oinsert,axiom,
% 178.38/178.19 ! [V_x_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Max_Oinsert__remove,axiom,
% 178.38/178.19 ! [V_x_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 178.38/178.19 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Max_Ounion__inter,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 178.38/178.19 => ( 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))
% 178.38/178.19 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Max_Ounion__disjoint,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 178.38/178.19 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => ( 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))
% 178.38/178.19 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Max_Oeq__fold_H,axiom,
% 178.38/178.19 ! [V_x_2,V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.19 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 178.38/178.19 ! [V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),V_A_2)) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Max_Oclosed,axiom,
% 178.38/178.19 ! [V_A_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_apfst__apsnd,axiom,
% 178.38/178.19 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_apsnd__apfst,axiom,
% 178.38/178.19 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_e,T_d),V_x_2))),hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_e,T_d),V_x_2))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_apfst__conv,axiom,
% 178.38/178.19 ! [V_y_2,V_x_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_x_2)),V_y_2) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_apfst__eq__conv,axiom,
% 178.38/178.19 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] :
% 178.38/178.19 ( hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_g_2),V_x_2)
% 178.38/178.19 <=> hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_fst__apfst,axiom,
% 178.38/178.19 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_snd__apfst,axiom,
% 178.38/178.19 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapfst(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Osnd(T_d,T_b),V_x_2) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_apsnd__apfst__commute,axiom,
% 178.38/178.19 ! [V_p_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_p_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,V_g_2),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_e,V_f_2),V_p_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_pair__lessI2,axiom,
% 178.38/178.19 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))
% 178.38/178.19 => 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)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_setsum__natinterval__difff,axiom,
% 178.38/178.19 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 178.38/178.19 ( class_Groups_Oab__group__add(T_b)
% 178.38/178.19 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 178.38/178.19 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 178.38/178.19 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 178.38/178.19 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_gauss__sum,axiom,
% 178.38/178.19 ! [V_n_2,T_b] :
% 178.38/178.19 ( class_Rings_Ocomm__semiring__1(T_b)
% 178.38/178.19 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Groups_Oone__class_Oone(T_b))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INFI__fold__inf,axiom,
% 178.38/178.19 ! [V_f_2,V_A_2,T_b,T_c] :
% 178.38/178.19 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),c_Orderings_Otop__class_Otop(T_c)),V_A_2) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INF1__E,axiom,
% 178.38/178.19 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 178.38/178.19 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 178.38/178.19 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INF1__D,axiom,
% 178.38/178.19 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__D,axiom,
% 178.38/178.19 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__E,axiom,
% 178.38/178.19 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 178.38/178.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 178.38/178.19 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INF2__D,axiom,
% 178.38/178.19 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INF2__E,axiom,
% 178.38/178.19 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 178.38/178.19 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 178.38/178.19 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_finite__INT,axiom,
% 178.38/178.19 ! [V_A_2,T_c,V_I_2,T_b] :
% 178.38/178.19 ( ? [B_x] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 178.38/178.19 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 178.38/178.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_finite__atLeastAtMost,axiom,
% 178.38/178.19 ! [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))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_b,T_c] :
% 178.38/178.19 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 <=> ! [B_x] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 178.38/178.19 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_c,T_b] :
% 178.38/178.19 ( c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)
% 178.38/178.19 <=> ! [B_x] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 178.38/178.19 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__subset__iff,axiom,
% 178.38/178.19 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)))
% 178.38/178.19 <=> ! [B_x] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(V_A_2,B_x))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__Int__distrib,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INF__commute,axiom,
% 178.38/178.19 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 178.38/178.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.38/178.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INFI__apply,axiom,
% 178.38/178.19 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 178.38/178.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.38/178.19 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__simps_I8_J,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__extend__simps_I8_J,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Pow__INT__eq,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__extend__simps_I5_J,axiom,
% 178.38/178.19 ! [V_B_2,V_C_2,T_c,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__simps_I5_J,axiom,
% 178.38/178.19 ! [V_B_2,V_a_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__iff,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 178.38/178.19 <=> ! [B_x] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Inter__def,axiom,
% 178.38/178.19 ! [V_S_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_b,tc_HOL_Obool))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__simps_I7_J,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__simps_I6_J,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__extend__simps_I7_J,axiom,
% 178.38/178.19 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Un__INT__distrib,axiom,
% 178.38/178.19 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__extend__simps_I6_J,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Un__INT__distrib2,axiom,
% 178.38/178.19 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INF__INT__eq2,axiom,
% 178.38/178.19 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2))
% 178.38/178.19 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_le__INF__iff,axiom,
% 178.38/178.19 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] :
% 178.38/178.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),V_M_2)))
% 178.38/178.19 <=> ! [B_x] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INF__less__iff,axiom,
% 178.38/178.19 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] :
% 178.38/178.19 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.38/178.19 & class_Orderings_Olinorder(T_b) )
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),V_f_2)),V_a_2))
% 178.38/178.19 <=> ? [B_x] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 178.38/178.19 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__insert__distrib,axiom,
% 178.38/178.19 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 178.38/178.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__lower,axiom,
% 178.38/178.19 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(V_B_2,V_a_2))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INF__INT__eq,axiom,
% 178.38/178.19 ! [V_x_2,V_r_2,T_c,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2))
% 178.38/178.19 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__absorb,axiom,
% 178.38/178.19 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 178.38/178.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INF__const,axiom,
% 178.38/178.19 ! [V_M_2,T_b,V_A_2,T_c] :
% 178.38/178.19 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 178.38/178.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__empty,axiom,
% 178.38/178.19 ! [V_B_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__constant,axiom,
% 178.38/178.19 ! [V_c_2,T_c,T_b,V_A_2] :
% 178.38/178.19 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 178.38/178.19 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = V_c_2 ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__extend__simps_I1_J,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 178.38/178.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 178.38/178.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__extend__simps_I2_J,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 178.38/178.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 178.38/178.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__insert,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__Un,axiom,
% 178.38/178.19 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Un__Inter,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_atLeastatMost__empty__iff2,axiom,
% 178.38/178.19 ! [V_b_2,V_a_2,T_b] :
% 178.38/178.19 ( class_Orderings_Oorder(T_b)
% 178.38/178.19 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)
% 178.38/178.19 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_atLeastatMost__empty__iff,axiom,
% 178.38/178.19 ! [V_b_2,V_a_2,T_b] :
% 178.38/178.19 ( class_Orderings_Oorder(T_b)
% 178.38/178.19 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_atLeastatMost__empty,axiom,
% 178.38/178.19 ! [V_a_2,V_b_2,T_b] :
% 178.38/178.19 ( class_Orderings_Oorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2))
% 178.38/178.19 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_atLeastatMost__subset__iff,axiom,
% 178.38/178.19 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 178.38/178.19 ( class_Orderings_Oorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)))
% 178.38/178.19 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 178.38/178.19 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 178.38/178.19 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_atLeastAtMost__singleton,axiom,
% 178.38/178.19 ! [V_a_2,T_b] :
% 178.38/178.19 ( class_Orderings_Oorder(T_b)
% 178.38/178.19 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 178.38/178.19 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 178.38/178.19 ( class_Orderings_Oorder(T_b)
% 178.38/178.19 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
% 178.38/178.19 <=> ( V_a_2 = V_b_2
% 178.38/178.19 & V_b_2 = V_c_2 ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_atLeastAtMost__singleton_H,axiom,
% 178.38/178.19 ! [V_b_2,V_a_2,T_b] :
% 178.38/178.19 ( class_Orderings_Oorder(T_b)
% 178.38/178.19 => ( V_a_2 = V_b_2
% 178.38/178.19 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 178.38/178.19 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 178.38/178.19 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.38/178.19 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 178.38/178.19 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 178.38/178.19 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.38/178.19 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INF__subset,axiom,
% 178.38/178.19 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 178.38/178.19 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_B_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__simps_I1_J,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 178.38/178.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 178.38/178.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__simps_I2_J,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 178.38/178.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 178.38/178.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__extend__simps_I3_J,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 178.38/178.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),V_B_2) )
% 178.38/178.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__simps_I3_J,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 178.38/178.19 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 178.38/178.19 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_card__atLeastAtMost,axiom,
% 178.38/178.19 ! [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) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_atLeastAtMostSuc__conv,axiom,
% 178.38/178.19 ! [V_n_2,V_m_2] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 178.38/178.19 => 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)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INF__leI,axiom,
% 178.38/178.19 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 178.38/178.19 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_M_2)),hAPP(V_M_2,V_i_2))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 178.38/178.19 ! [V_k_2,V_f_2] :
% 178.38/178.19 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.38/178.19 => 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)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Int__atLeastAtMost,axiom,
% 178.38/178.19 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_atLeastatMost__psubset__iff,axiom,
% 178.38/178.19 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 178.38/178.19 ( class_Orderings_Oorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)))
% 178.38/178.19 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 178.38/178.19 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 178.38/178.19 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2))
% 178.38/178.19 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2))
% 178.38/178.19 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) )
% 178.38/178.19 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_ivl__disj__int_I4_J,axiom,
% 178.38/178.19 ! [V_u_2,V_l_2,T_b] :
% 178.38/178.19 ( class_Orderings_Oorder(T_b)
% 178.38/178.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_setsum__head__Suc,axiom,
% 178.38/178.19 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 178.38/178.19 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 178.38/178.19 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),V_n_2))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_pair__lessI1,axiom,
% 178.38/178.19 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 178.38/178.19 => 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)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_setsum__cl__ivl__Suc,axiom,
% 178.38/178.19 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 178.38/178.19 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.38/178.19 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 178.38/178.19 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_b) )
% 178.38/178.19 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 178.38/178.19 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_inf__INFI__fold__inf,axiom,
% 178.38/178.19 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 178.38/178.19 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_setsum__ub__add__nat,axiom,
% 178.38/178.19 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_b] :
% 178.38/178.19 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.38/178.19 => ( 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))))
% 178.38/178.19 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_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)))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_all__nat__less,axiom,
% 178.38/178.19 ! [V_Pa_2,V_n_2] :
% 178.38/178.19 ( ! [B_m] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 178.38/178.19 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 178.38/178.19 <=> ! [B_x] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_ex__nat__less,axiom,
% 178.38/178.19 ! [V_Pa_2,V_n_2] :
% 178.38/178.19 ( ? [B_m] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 178.38/178.19 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 178.38/178.19 <=> ? [B_x] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_pair__leqI2,axiom,
% 178.38/178.19 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2))
% 178.38/178.19 => 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)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_smin__insertI,axiom,
% 178.38/178.19 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 178.38/178.19 => ( 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))
% 178.38/178.19 => ( 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))
% 178.38/178.19 => 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)) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INF1__iff,axiom,
% 178.38/178.19 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 178.38/178.19 <=> ! [B_x] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INF2__iff,axiom,
% 178.38/178.19 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 178.38/178.19 <=> ! [B_x] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_smin__emptyI,axiom,
% 178.38/178.19 ! [V_X_2] :
% 178.38/178.19 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 178.38/178.19 => 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)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_simp__from__to,axiom,
% 178.38/178.19 ! [V_i_2,V_j_2] :
% 178.38/178.19 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 178.38/178.19 => 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)) )
% 178.38/178.19 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 178.38/178.19 => 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)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_card__atLeastAtMost__int,axiom,
% 178.38/178.19 ! [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))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_pair__leqI1,axiom,
% 178.38/178.19 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 178.38/178.19 => 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)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_wmax__insertI,axiom,
% 178.38/178.19 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 178.38/178.19 => ( 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))
% 178.38/178.19 => ( 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))
% 178.38/178.19 => 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)) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_wmin__insertI,axiom,
% 178.38/178.19 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 178.38/178.19 => ( 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))
% 178.38/178.19 => ( 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))
% 178.38/178.19 => 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)) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_smax__insertI,axiom,
% 178.38/178.19 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 178.38/178.19 => ( 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))
% 178.38/178.19 => ( 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))
% 178.38/178.19 => 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)) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_bset_I8_J,axiom,
% 178.38/178.19 ! [V_B_2,V_t_2,V_D_2] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 178.38/178.19 => ( 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))
% 178.38/178.19 => ! [B_x] :
% 178.38/178.19 ( ! [B_xa] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ! [B_xb] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 178.38/178.19 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 178.38/178.19 => 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))) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_finite__atLeastAtMost__int,axiom,
% 178.38/178.19 ! [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))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_smax__emptyI,axiom,
% 178.38/178.19 ! [V_Y_2] :
% 178.38/178.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 178.38/178.19 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 178.38/178.19 => 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)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_wmax__emptyI,axiom,
% 178.38/178.19 ! [V_X_2] :
% 178.38/178.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 178.38/178.19 => 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)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_wmin__emptyI,axiom,
% 178.38/178.19 ! [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)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__weak__def,axiom,
% 178.38/178.19 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)))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_aset_I6_J,axiom,
% 178.38/178.19 ! [V_A_2,V_t_2,V_D_2] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 178.38/178.19 => ( 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))
% 178.38/178.19 => ! [B_x] :
% 178.38/178.19 ( ! [B_xa] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ! [B_xb] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 178.38/178.19 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 178.38/178.19 => 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)) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_max__weak__def,axiom,
% 178.38/178.19 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)))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_bset_I3_J,axiom,
% 178.38/178.19 ! [V_B_2,V_t_2,V_D_2] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 178.38/178.19 => ( 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))
% 178.38/178.19 => ( ! [B_x] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ! [B_xa] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 178.38/178.19 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 178.38/178.19 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_infinite__UNIV__int,axiom,
% 178.38/178.19 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_max__strict__def,axiom,
% 178.38/178.19 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_max__ext__additive,axiom,
% 178.38/178.19 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__strict__def,axiom,
% 178.38/178.19 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_max__extp__max__ext__eq,axiom,
% 178.38/178.19 ! [V_xa_2,V_x_2,V_R_2,T_b] :
% 178.38/178.19 ( c_Wellfounded_Omax__extp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_R_2),V_x_2,V_xa_2)
% 178.38/178.19 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_xa_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_aset_I4_J,axiom,
% 178.38/178.19 ! [V_A_2,V_t_2,V_D_2] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 178.38/178.19 => ! [B_x] :
% 178.38/178.19 ( ! [B_xa] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ! [B_xb] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 178.38/178.19 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 178.38/178.19 => ( B_x != V_t_2
% 178.38/178.19 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_bset_I4_J,axiom,
% 178.38/178.19 ! [V_B_2,V_t_2,V_D_2] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 178.38/178.19 => ! [B_x] :
% 178.38/178.19 ( ! [B_xa] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ! [B_xb] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 178.38/178.19 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 178.38/178.19 => ( B_x != V_t_2
% 178.38/178.19 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_bset_I7_J,axiom,
% 178.38/178.19 ! [V_B_2,V_t_2,V_D_2] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 178.38/178.19 => ! [B_x] :
% 178.38/178.19 ( ! [B_xa] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ! [B_xb] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 178.38/178.19 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 178.38/178.19 => 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))) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_aset_I3_J,axiom,
% 178.38/178.19 ! [V_A_2,V_t_2,V_D_2] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 178.38/178.19 => ( 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))
% 178.38/178.19 => ( ! [B_x] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ! [B_xa] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 178.38/178.19 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 178.38/178.19 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_aset_I5_J,axiom,
% 178.38/178.19 ! [V_A_2,V_t_2,V_D_2] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 178.38/178.19 => ! [B_x] :
% 178.38/178.19 ( ! [B_xa] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ! [B_xb] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 178.38/178.19 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 178.38/178.19 => 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)) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_aset_I8_J,axiom,
% 178.38/178.19 ! [V_t_2,V_A_2,V_D_2] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 178.38/178.19 => ! [B_x] :
% 178.38/178.19 ( ! [B_xa] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ! [B_xb] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 178.38/178.19 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 178.38/178.19 => 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))) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_bset_I6_J,axiom,
% 178.38/178.19 ! [V_t_2,V_B_2,V_D_2] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 178.38/178.19 => ! [B_x] :
% 178.38/178.19 ( ! [B_xa] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ! [B_xb] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 178.38/178.19 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 178.38/178.19 => 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)) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_periodic__finite__ex,axiom,
% 178.38/178.19 ! [V_Pa_2,V_d_2] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 178.38/178.19 => ( ! [B_x,B_k] :
% 178.38/178.19 ( hBOOL(hAPP(V_Pa_2,B_x))
% 178.38/178.19 <=> hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B_k),V_d_2)))) )
% 178.38/178.19 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 178.38/178.19 <=> ? [B_x] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_bset_I5_J,axiom,
% 178.38/178.19 ! [V_t_2,V_B_2,V_D_2] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 178.38/178.19 => ! [B_x] :
% 178.38/178.19 ( ! [B_xa] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ! [B_xb] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 178.38/178.19 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 178.38/178.19 => 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)) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_aset_I7_J,axiom,
% 178.38/178.19 ! [V_t_2,V_A_2,V_D_2] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 178.38/178.19 => ! [B_x] :
% 178.38/178.19 ( ! [B_xa] :
% 178.38/178.19 ( 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)))
% 178.38/178.19 => ! [B_xb] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 178.38/178.19 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 178.38/178.19 => 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))) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_card__greaterThanLessThan__int,axiom,
% 178.38/178.19 ! [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)))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_finite__greaterThanLessThan__int,axiom,
% 178.38/178.19 ! [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))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_greaterThanLessThan__empty,axiom,
% 178.38/178.19 ! [V_k_2,V_l_2,T_b] :
% 178.38/178.19 ( class_Orderings_Oorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 178.38/178.19 => c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_ivl__disj__int_I12_J,axiom,
% 178.38/178.19 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 178.38/178.19 ( class_Orderings_Oorder(T_b)
% 178.38/178.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_ivl__disj__int_I13_J,axiom,
% 178.38/178.19 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 178.38/178.19 ( class_Orderings_Oorder(T_b)
% 178.38/178.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Int__greaterThanLessThan,axiom,
% 178.38/178.19 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_max__rpair__set,axiom,
% 178.38/178.19 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)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_min__rpair__set,axiom,
% 178.38/178.19 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)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_ivl__disj__un_I19_J,axiom,
% 178.38/178.19 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 178.38/178.19 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_less__than__iff,axiom,
% 178.38/178.19 ! [V_y_2,V_x_2] :
% 178.38/178.19 ( 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))
% 178.38/178.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_finite__greaterThanAtMost,axiom,
% 178.38/178.19 ! [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))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_finite__greaterThanLessThan,axiom,
% 178.38/178.19 ! [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))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_finite__greaterThanAtMost__int,axiom,
% 178.38/178.19 ! [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))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_greaterThanAtMost__empty,axiom,
% 178.38/178.19 ! [V_k_2,V_l_2,T_b] :
% 178.38/178.19 ( class_Orderings_Oorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 178.38/178.19 => c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 178.38/178.19 ! [V_l_2,V_k_2,T_b] :
% 178.38/178.19 ( class_Orderings_Oorder(T_b)
% 178.38/178.19 => ( c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 178.38/178.19 ! [V_l_2,V_k_2,T_b] :
% 178.38/178.19 ( class_Orderings_Oorder(T_b)
% 178.38/178.19 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2)
% 178.38/178.19 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_ivl__disj__un_I20_J,axiom,
% 178.38/178.19 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 178.38/178.19 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_ivl__disj__int_I14_J,axiom,
% 178.38/178.19 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 178.38/178.19 ( class_Orderings_Oorder(T_b)
% 178.38/178.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 178.38/178.19 ! [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) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_pair__less__def,axiom,
% 178.38/178.19 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_card__greaterThanAtMost,axiom,
% 178.38/178.19 ! [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) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_ivl__disj__un_I22_J,axiom,
% 178.38/178.19 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 178.38/178.19 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 178.38/178.19 ! [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) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_ivl__disj__int_I16_J,axiom,
% 178.38/178.19 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 178.38/178.19 ( class_Orderings_Oorder(T_b)
% 178.38/178.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Int__greaterThanAtMost,axiom,
% 178.38/178.19 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_ivl__disj__int_I10_J,axiom,
% 178.38/178.19 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 178.38/178.19 ( class_Orderings_Oorder(T_b)
% 178.38/178.19 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_card__greaterThanLessThan,axiom,
% 178.38/178.19 ! [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)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_card__greaterThanAtMost__int,axiom,
% 178.38/178.19 ! [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)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_ivl__disj__un_I16_J,axiom,
% 178.38/178.19 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 178.38/178.19 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_setsum__head,axiom,
% 178.38/178.19 ! [V_Pa_2,V_n_2,V_m_2,T_b] :
% 178.38/178.19 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 178.38/178.19 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_Pa_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_Pa_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_Pa_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_n_2))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_ivl__disj__un_I5_J,axiom,
% 178.38/178.19 ! [V_u_2,V_l_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 178.38/178.19 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_ivl__disj__un_I4_J,axiom,
% 178.38/178.19 ! [V_u_2,V_l_2,T_b] :
% 178.38/178.19 ( class_Orderings_Olinorder(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 178.38/178.19 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_mlex__prod__def,axiom,
% 178.38/178.19 ! [V_R_2,V_f_2,T_b] : c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,T_b),T_b),c_Wellfounded_Olex__prod(tc_Nat_Onat,T_b,c_Wellfounded_Oless__than,V_R_2)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(tc_Nat_Onat,T_b)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_prod(tc_Nat_Onat,T_b)),T_b),c_Product__Type_OPair(tc_Nat_Onat,T_b)),V_f_2)),c_COMBI(T_b))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_intrel__iff,axiom,
% 178.38/178.19 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 178.38/178.19 ( 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))
% 178.38/178.19 <=> 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) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_rp__inv__image__rp,axiom,
% 178.38/178.19 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 178.38/178.19 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 178.38/178.19 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_Pa_2),V_f_2)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_SUPR__fold__sup,axiom,
% 178.38/178.19 ! [V_f_2,V_A_2,T_b,T_c] :
% 178.38/178.19 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(T_c)),V_A_2) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_UN__I,axiom,
% 178.38/178.19 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_SUP1__I,axiom,
% 178.38/178.19 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_SUP2__I,axiom,
% 178.38/178.19 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_UNION__empty__conv_I2_J,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_b,T_c] :
% 178.38/178.19 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 <=> ! [B_x] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 178.38/178.19 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_UN__constant,axiom,
% 178.38/178.19 ! [V_c_2,T_c,T_b,V_A_2] :
% 178.38/178.19 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 178.38/178.19 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = V_c_2 ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_UN__empty2,axiom,
% 178.38/178.19 ! [V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_UNION__empty__conv_I1_J,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_c,T_b] :
% 178.38/178.19 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)
% 178.38/178.19 <=> ! [B_x] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 178.38/178.19 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_UN__Un,axiom,
% 178.38/178.19 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_UN__Un__distrib,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_finite__UN,axiom,
% 178.38/178.19 ! [V_B_2,T_c,V_A_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 178.38/178.19 <=> ! [B_x] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.38/178.19 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__extend__simps_I9_J,axiom,
% 178.38/178.19 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_INT__simps_I9_J,axiom,
% 178.38/178.19 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_UN__Pow__subset,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_UN__subset__iff,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),V_B_2))
% 178.38/178.19 <=> ! [B_x] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,B_x)),V_B_2)) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_UN__simps_I5_J,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_UN__simps_I4_J,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_UN__extend__simps_I5_J,axiom,
% 178.38/178.19 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Int__UN__distrib,axiom,
% 178.38/178.19 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_UN__extend__simps_I4_J,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Int__UN__distrib2,axiom,
% 178.38/178.19 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_SUP__commute,axiom,
% 178.38/178.19 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 178.38/178.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.38/178.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_SUPR__apply,axiom,
% 178.38/178.19 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 178.38/178.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.38/178.19 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_UN__simps_I8_J,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_UN__extend__simps_I8_J,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_UN__extend__simps_I6_J,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_UN__simps_I6_J,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_Union__def,axiom,
% 178.38/178.19 ! [V_S_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_b,tc_HOL_Obool))) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_UN__iff,axiom,
% 178.38/178.19 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 178.38/178.19 <=> ? [B_x] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 178.38/178.19 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_SUP__UN__eq2,axiom,
% 178.38/178.19 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2))
% 178.38/178.19 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_SUP__le__iff,axiom,
% 178.38/178.19 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] :
% 178.38/178.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_M_2)),V_u_2))
% 178.38/178.19 <=> ! [B_x] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_less__SUP__iff,axiom,
% 178.38/178.19 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] :
% 178.38/178.19 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.38/178.19 & class_Orderings_Olinorder(T_b) )
% 178.38/178.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_f_2)))
% 178.38/178.19 <=> ? [B_x] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 178.38/178.19 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_SUP__const,axiom,
% 178.38/178.19 ! [V_M_2,T_b,V_A_2,T_c] :
% 178.38/178.19 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 178.38/178.19 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_UN__insert__distrib,axiom,
% 178.38/178.19 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 178.38/178.19 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_UN__upper,axiom,
% 178.38/178.19 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 178.38/178.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_SUP__UN__eq,axiom,
% 178.38/178.19 ! [V_x_2,V_r_2,T_c,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2))
% 178.38/178.19 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 178.38/178.19
% 178.38/178.19 fof(fact_UN__absorb,axiom,
% 178.38/178.19 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 178.38/178.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 178.38/178.19 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__simps_I1_J,axiom,
% 178.38/178.20 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 178.38/178.20 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 178.38/178.20 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__singleton,axiom,
% 178.38/178.20 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__extend__simps_I1_J,axiom,
% 178.38/178.20 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 178.38/178.20 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) )
% 178.38/178.20 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__simps_I3_J,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 178.38/178.20 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 178.38/178.20 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__simps_I2_J,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 178.38/178.20 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 178.38/178.20 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__extend__simps_I3_J,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 178.38/178.20 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 178.38/178.20 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__extend__simps_I2_J,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 178.38/178.20 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 178.38/178.20 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__insert,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__simps_I7_J,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__extend__simps_I7_J,axiom,
% 178.38/178.20 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Int__Union2,axiom,
% 178.38/178.20 ! [V_A_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Int__Union,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Compl__INT,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Compl__UN,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_rp__inv__image__def,axiom,
% 178.38/178.20 ! [T_c,T_b] : c_FunDef_Orp__inv__image(T_b,T_c) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBS(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(T_c,T_b)),c_Product__Type_OPair(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),c_Relation_Oinv__image(T_b,T_c))))),c_Relation_Oinv__image(T_b,T_c))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__lessThan__UNIV,axiom,
% 178.38/178.20 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)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_SUP__subset,axiom,
% 178.38/178.20 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 178.38/178.20 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_B_2),V_f_2))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_INT__extend__simps_I4_J,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 178.38/178.20 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 178.38/178.20 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_le__SUPI,axiom,
% 178.38/178.20 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 178.38/178.20 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_M_2,V_i_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_M_2))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_INT__simps_I4_J,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 178.38/178.20 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 178.38/178.20 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_sup__SUPR__fold__sup,axiom,
% 178.38/178.20 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 178.38/178.20 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 178.38/178.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_in__inv__image,axiom,
% 178.38/178.20 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2)))
% 178.38/178.20 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))),V_r_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_nat__def,axiom,
% 178.38/178.20 ! [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)))))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__un_I7_J,axiom,
% 178.38/178.20 ! [V_u_2,V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_geometric__sum,axiom,
% 178.38/178.20 ! [V_n_2,V_x_2,T_b] :
% 178.38/178.20 ( class_Fields_Ofield(T_b)
% 178.38/178.20 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b)
% 178.38/178.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_Power_Opower__class_Opower(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),V_n_2)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_x_2),c_Groups_Oone__class_Oone(T_b))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_finite__atMost,axiom,
% 178.38/178.20 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_finite__atLeastLessThan,axiom,
% 178.38/178.20 ! [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))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ball__UN,axiom,
% 178.38/178.20 ! [V_Pa_2,V_B_2,V_A_2,T_c,T_b] :
% 178.38/178.20 ( ! [B_x] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 178.38/178.20 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 178.38/178.20 <=> ! [B_x] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 178.38/178.20 => ! [B_xa] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x)))
% 178.38/178.20 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_SUP1__iff,axiom,
% 178.38/178.20 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 178.38/178.20 <=> ? [B_x] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.38/178.20 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_SUP2__iff,axiom,
% 178.38/178.20 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 178.38/178.20 <=> ? [B_x] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.38/178.20 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__extend__simps_I9_J,axiom,
% 178.38/178.20 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__simps_I9_J,axiom,
% 178.38/178.20 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__UN__flatten,axiom,
% 178.38/178.20 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Rep__Integ__inject,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2] :
% 178.38/178.20 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 178.38/178.20 <=> V_x_2 = V_y_2 ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atMost__eq__iff,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)
% 178.38/178.20 <=> V_x_2 = V_y_2 ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atLeastLessThan__eq__iff,axiom,
% 178.38/178.20 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 178.38/178.20 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)
% 178.38/178.20 <=> ( V_a_2 = V_c_2
% 178.38/178.20 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 178.38/178.20 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 178.38/178.20 => V_a_2 = V_c_2 ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 178.38/178.20 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 178.38/178.20 => V_b_2 = V_d_2 ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ex__nat__less__eq,axiom,
% 178.38/178.20 ! [V_Pa_2,V_n_2] :
% 178.38/178.20 ( ? [B_m] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 178.38/178.20 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 178.38/178.20 <=> ? [B_x] :
% 178.38/178.20 ( 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)))
% 178.38/178.20 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_all__nat__less__eq,axiom,
% 178.38/178.20 ! [V_Pa_2,V_n_2] :
% 178.38/178.20 ( ! [B_m] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 178.38/178.20 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 178.38/178.20 <=> ! [B_x] :
% 178.38/178.20 ( 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)))
% 178.38/178.20 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atLeastLessThan__add__Un,axiom,
% 178.38/178.20 ! [V_k_2,V_j_2,V_i_2] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 178.38/178.20 => 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))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__atMost__UNIV,axiom,
% 178.38/178.20 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)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 178.38/178.20 ! [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) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atLeastLessThan0,axiom,
% 178.38/178.20 ! [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)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atLeast0LessThan,axiom,
% 178.38/178.20 ! [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) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_subset__card__intvl__is__intvl,axiom,
% 178.38/178.20 ! [V_k_2,V_A_2] :
% 178.38/178.20 ( 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)))))
% 178.38/178.20 => 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))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_card__atLeastLessThan,axiom,
% 178.38/178.20 ! [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) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atLeastLessThan__empty,axiom,
% 178.38/178.20 ! [V_a_2,V_b_2,T_b] :
% 178.38/178.20 ( class_Orderings_Oorder(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 178.38/178.20 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atLeastLessThan__empty__iff,axiom,
% 178.38/178.20 ! [V_b_2,V_a_2,T_b] :
% 178.38/178.20 ( class_Orderings_Oorder(T_b)
% 178.38/178.20 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 178.38/178.20 ! [V_b_2,V_a_2,T_b] :
% 178.38/178.20 ( class_Orderings_Oorder(T_b)
% 178.38/178.20 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)
% 178.38/178.20 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atLeastLessThan__subset__iff,axiom,
% 178.38/178.20 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 178.38/178.20 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 178.38/178.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 178.38/178.20 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 178.38/178.20 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.38/178.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__un_I17_J,axiom,
% 178.38/178.20 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 178.38/178.20 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 178.38/178.20 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.38/178.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__diff,axiom,
% 178.38/178.20 ! [V_m_2,V_n_2,V_i_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_n_2))
% 178.38/178.20 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_n_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_n_2),V_m_2) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__UN__finite__eq,axiom,
% 178.38/178.20 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_Nat_Onat),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__int_I11_J,axiom,
% 178.38/178.20 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Oorder(T_b)
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 178.38/178.20 ! [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) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atLeast0AtMost,axiom,
% 178.38/178.20 ! [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) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_lessThan__Suc__atMost,axiom,
% 178.38/178.20 ! [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) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_card__atMost,axiom,
% 178.38/178.20 ! [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) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atMost__Suc,axiom,
% 178.38/178.20 ! [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)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atMost__iff,axiom,
% 178.38/178.20 ! [V_k_2,V_i_2,T_b] :
% 178.38/178.20 ( class_Orderings_Oord(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)))
% 178.38/178.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atMost__subset__iff,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,T_b] :
% 178.38/178.20 ( class_Orderings_Oorder(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)))
% 178.38/178.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_setsum__add__nat__ivl,axiom,
% 178.38/178.20 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 178.38/178.20 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 178.38/178.20 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2)) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_setsum__diff__nat__ivl,axiom,
% 178.38/178.20 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 178.38/178.20 ( class_Groups_Oab__group__add(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 178.38/178.20 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2)) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__le__add__shift,axiom,
% 178.38/178.20 ! [V_k_2,V_M_2,V_n_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat),V_M_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_k_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))),V_M_2) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atLeastLessThan__singleton,axiom,
% 178.38/178.20 ! [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))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__un_I21_J,axiom,
% 178.38/178.20 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__int_I15_J,axiom,
% 178.38/178.20 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Oorder(T_b)
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Int__atLeastLessThan,axiom,
% 178.38/178.20 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__un_I8_J,axiom,
% 178.38/178.20 ! [V_u_2,V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__int_I2_J,axiom,
% 178.38/178.20 ! [V_u_2,V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Oorder(T_b)
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__int_I9_J,axiom,
% 178.38/178.20 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Oorder(T_b)
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 178.38/178.20 ! [V_k_2,V_f_2,T_b] :
% 178.38/178.20 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.38/178.20 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b)
% 178.38/178.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_setsum__head__upt__Suc,axiom,
% 178.38/178.20 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 178.38/178.20 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 178.38/178.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),V_n_2))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atLeastLessThanSuc,axiom,
% 178.38/178.20 ! [V_n_2,V_m_2] :
% 178.38/178.20 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 178.38/178.20 => 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)) )
% 178.38/178.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 178.38/178.20 => 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)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_setsum__atMost__Suc,axiom,
% 178.38/178.20 ! [V_n_2,V_f_2,T_b] :
% 178.38/178.20 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.38/178.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atMost__0,axiom,
% 178.38/178.20 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))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Int__atLeastAtMostR1,axiom,
% 178.38/178.20 ! [V_d_2,V_c_2,V_b_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Int__atLeastAtMostL1,axiom,
% 178.38/178.20 ! [V_d_2,V_b_2,V_a_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__un_I9_J,axiom,
% 178.38/178.20 ! [V_u_2,V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__int_I3_J,axiom,
% 178.38/178.20 ! [V_u_2,V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Oorder(T_b)
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__int_I1_J,axiom,
% 178.38/178.20 ! [V_u_2,V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Oorder(T_b)
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_setsum__op__ivl__Suc,axiom,
% 178.38/178.20 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 178.38/178.20 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.38/178.20 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 178.38/178.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_b) )
% 178.38/178.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 178.38/178.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(V_f_2,V_n_2)) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__un_I15_J,axiom,
% 178.38/178.20 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__le__eq__Un0,axiom,
% 178.38/178.20 ! [V_M_2,V_n_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2)),V_M_2)),hAPP(V_M_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_measure__def,axiom,
% 178.38/178.20 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__un_I6_J,axiom,
% 178.38/178.20 ! [V_u_2,V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__un_I2_J,axiom,
% 178.38/178.20 ! [V_u_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__un_I3_J,axiom,
% 178.38/178.20 ! [V_u_2,V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__un_I10_J,axiom,
% 178.38/178.20 ! [V_u_2,V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__un_I18_J,axiom,
% 178.38/178.20 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_irrefl__def,axiom,
% 178.38/178.20 ! [V_r_2,T_b] :
% 178.38/178.20 ( c_Relation_Oirrefl(T_b,V_r_2)
% 178.38/178.20 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__finite2__subset,axiom,
% 178.38/178.20 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 178.38/178.20 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2)))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Field__insert,axiom,
% 178.38/178.20 ! [V_r_2,V_b_2,V_a_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OField(T_b),V_r_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_finite__atLeastLessThan__int,axiom,
% 178.38/178.20 ! [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))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 178.38/178.20 ! [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))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Field__empty,axiom,
% 178.38/178.20 ! [T_b] : hAPP(c_Relation_OField(T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_mono__Field,axiom,
% 178.38/178.20 ! [V_s_2,V_r_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Field__Un,axiom,
% 178.38/178.20 ! [V_s_2,V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_finite__Field,axiom,
% 178.38/178.20 ! [V_r_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 178.38/178.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 178.38/178.20 ! [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) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 178.38/178.20 ! [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) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_card__atLeastLessThan__int,axiom,
% 178.38/178.20 ! [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)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 178.38/178.20 ! [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) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__finite2__eq,axiom,
% 178.38/178.20 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 178.38/178.20 ( ! [B_n] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2)
% 178.38/178.20 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__finite__subset,axiom,
% 178.38/178.20 ! [V_C_2,V_A_2,T_b] :
% 178.38/178.20 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),V_C_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),V_C_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Id__on__def,axiom,
% 178.38/178.20 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Id__on__def_H,axiom,
% 178.38/178.20 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),c_fequal))),V_A_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Id__on__empty,axiom,
% 178.38/178.20 ! [T_b] : c_Relation_OId__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Id__on__iff,axiom,
% 178.38/178.20 ! [V_A_2,V_y_2,V_x_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Relation_OId__on(T_b,V_A_2)))
% 178.38/178.20 <=> ( V_x_2 = V_y_2
% 178.38/178.20 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Id__on__eqI,axiom,
% 178.38/178.20 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 178.38/178.20 ( V_a_2 = V_b_2
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Relation_OId__on(T_b,V_A_2))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Id__onE,axiom,
% 178.38/178.20 ! [V_A_2,V_c_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2)))
% 178.38/178.20 => ~ ! [B_x] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.38/178.20 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 178.38/178.20 ! [V_x_2,V_y_2,V_c_2] :
% 178.38/178.20 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 178.38/178.20 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_c_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_y_2),V_c_2)) )
% 178.38/178.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 178.38/178.20 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 178.38/178.20 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) )
% 178.38/178.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 178.38/178.20 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 178.38/178.20 ! [V_u_2] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 178.38/178.20 => 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))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__eqI,axiom,
% 178.38/178.20 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] :
% 178.38/178.20 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_finite__imageI,axiom,
% 178.38/178.20 ! [V_h_2,T_c,V_F_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 178.38/178.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__is__empty,axiom,
% 178.38/178.20 ! [V_A_2,V_f_2,T_b,T_c] :
% 178.38/178.20 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__empty,axiom,
% 178.38/178.20 ! [V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_empty__is__image,axiom,
% 178.38/178.20 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)
% 178.38/178.20 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_INT__extend__simps_I10_J,axiom,
% 178.38/178.20 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_INT__simps_I10_J,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2] :
% 178.38/178.20 ( V_A_2 = V_B_2
% 178.38/178.20 <=> 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) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__Pow__surj,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 178.38/178.20 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2
% 178.38/178.20 => hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2)) = hAPP(c_Set_OPow(T_b),V_B_2) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 178.38/178.20 <=> 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))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__image,axiom,
% 178.38/178.20 ! [V_A_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_d,T_c,V_g_2),V_A_2)) = hAPP(c_Set_Oimage(T_d,T_b,hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_f_2),V_g_2)),V_A_2) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__iff,axiom,
% 178.38/178.20 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 178.38/178.20 <=> ? [B_x] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 178.38/178.20 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_imageI,axiom,
% 178.38/178.20 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_rev__image__eqI,axiom,
% 178.38/178.20 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.20 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_range__composition,axiom,
% 178.38/178.20 ! [V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBB(T_d,T_b,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_subset__image__iff,axiom,
% 178.38/178.20 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 178.38/178.20 <=> ? [B_AA] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2))
% 178.38/178.20 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__mono,axiom,
% 178.38/178.20 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__Pow__mono,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2))),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__Un,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__insert,axiom,
% 178.38/178.20 ! [V_B_2,V_a_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__simps_I10_J,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__UN,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Oimage(T_c,T_b,V_f_2)),V_B_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__extend__simps_I10_J,axiom,
% 178.38/178.20 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_insert__image,axiom,
% 178.38/178.20 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.20 => hAPP(hAPP(c_Set_Oinsert(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_range__eqI,axiom,
% 178.38/178.20 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] :
% 178.38/178.20 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_rangeI,axiom,
% 178.38/178.20 ! [T_c,V_x_2,V_f_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_finite__surj,axiom,
% 178.38/178.20 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 178.38/178.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__Int__subset,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__diff__subset,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__uminus__atLeastAtMost,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,T_b] :
% 178.38/178.20 ( class_Groups_Oordered__ab__group__add(T_b)
% 178.38/178.20 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__Suc__atLeastLessThan,axiom,
% 178.38/178.20 ! [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)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__Suc__atLeastAtMost,axiom,
% 178.38/178.20 ! [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)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,T_b] :
% 178.38/178.20 ( class_Groups_Oordered__ab__group__add(T_b)
% 178.38/178.20 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__constant__conv,axiom,
% 178.38/178.20 ! [V_c_2,T_c,T_b,V_A_2] :
% 178.38/178.20 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 178.38/178.20 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_finite__range__imageI,axiom,
% 178.38/178.20 ! [V_f_2,T_d,V_g_2,T_c,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))))
% 178.38/178.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(c_Set_Oimage(T_c,T_d,hAPP(hAPP(c_COMBB(T_b,T_d,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 178.38/178.20 ! [V_A_2,V_x_2] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 178.38/178.20 <=> 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))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 178.38/178.20 ! [V_A_2,V_f_2,T_b] :
% 178.38/178.20 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 178.38/178.20 & class_Groups_Ocomm__monoid__mult(T_b) )
% 178.38/178.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__add__atLeastLessThan,axiom,
% 178.38/178.20 ! [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)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__add__atLeastAtMost,axiom,
% 178.38/178.20 ! [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)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 178.38/178.20 <=> 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))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__Union,axiom,
% 178.38/178.20 ! [V_S_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Set_Oimage(T_c,T_b,V_f_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_card__image__le,axiom,
% 178.38/178.20 ! [V_f_2,T_c,V_A_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,T_b] :
% 178.38/178.20 ( class_Groups_Oordered__ab__group__add(T_b)
% 178.38/178.20 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_x_2,V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__uminus__atLeastLessThan,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,T_b] :
% 178.38/178.20 ( class_Groups_Oordered__ab__group__add(T_b)
% 178.38/178.20 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_x_2),V_y_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__constant,axiom,
% 178.38/178.20 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.20 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__eq__UN,axiom,
% 178.38/178.20 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Set_Oinsert(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 178.38/178.20 ! [V_A_2,V_f_2,T_b] :
% 178.38/178.20 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 178.38/178.20 & class_Groups_Ocomm__monoid__mult(T_b) )
% 178.38/178.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 178.38/178.20 ! [V_A_2] :
% 178.38/178.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 178.38/178.20 <=> 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))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 178.38/178.20 ! [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)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 178.38/178.20 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))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__eq__fold__image,axiom,
% 178.38/178.20 ! [V_f_2,T_c,V_A_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.20 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(T_c,tc_HOL_Obool),T_b,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Set_Oinsert(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_A_2) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 178.38/178.20 ! [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))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_minus__Min__eq__Max,axiom,
% 178.38/178.20 ! [V_S_2,T_b] :
% 178.38/178.20 ( class_Groups_Olinordered__ab__group__add(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 178.38/178.20 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_minus__Max__eq__Min,axiom,
% 178.38/178.20 ! [V_S_2,T_b] :
% 178.38/178.20 ( class_Groups_Olinordered__ab__group__add(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 178.38/178.20 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 178.38/178.20 ! [V_n_2,V_m_2] :
% 178.38/178.20 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 178.38/178.20 => ( c_Nat__Transfer_Ois__nat(V_n_2)
% 178.38/178.20 => 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))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_surj__Compl__image__subset,axiom,
% 178.38/178.20 ! [V_A_2,V_f_2,T_b,T_c] :
% 178.38/178.20 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_greaterThan__0,axiom,
% 178.38/178.20 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))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 178.38/178.20 ! [V_N_2,V_h_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 178.38/178.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 178.38/178.20 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(V_h_2,c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_N_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_pair__imageI,axiom,
% 178.38/178.20 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_A_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(T_d),hAPP(hAPP(V_f_2,V_a_2),V_b_2)),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),V_A_2))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Cantors__paradox,axiom,
% 178.38/178.20 ! [V_A_2,T_b] :
% 178.38/178.20 ~ ? [B_f] : hAPP(c_Set_Oimage(T_b,tc_fun(T_b,tc_HOL_Obool),B_f),V_A_2) = hAPP(c_Set_OPow(T_b),V_A_2) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_greaterThan__eq__iff,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)
% 178.38/178.20 <=> V_x_2 = V_y_2 ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Field__Union,axiom,
% 178.38/178.20 ! [V_R_2,T_b] : hAPP(c_Relation_OField(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),V_R_2)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Relation_OField(T_b)),V_R_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UNION__eq__Union__image,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Union__image__eq,axiom,
% 178.38/178.20 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_INTER__eq__Inter__image,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Inter__image__eq,axiom,
% 178.38/178.20 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 178.38/178.20 ! [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))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 178.38/178.20 ! [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 ).
% 178.38/178.20
% 178.38/178.20 fof(fact_greaterThan__iff,axiom,
% 178.38/178.20 ! [V_k_2,V_i_2,T_b] :
% 178.38/178.20 ( class_Orderings_Oord(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)))
% 178.38/178.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_greaterThan__subset__iff,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)))
% 178.38/178.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Un__Union__image,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Int__Inter__image,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Pow__insert,axiom,
% 178.38/178.20 ! [V_A_2,V_a_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oinsert(T_b),V_a_2)),hAPP(c_Set_OPow(T_b),V_A_2))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Compl__atMost,axiom,
% 178.38/178.20 ! [V_k_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Compl__greaterThan,axiom,
% 178.38/178.20 ! [V_k_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 178.38/178.20 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))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_INT__greaterThan__UNIV,axiom,
% 178.38/178.20 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)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 178.38/178.20 ! [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))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__add__int__atLeastLessThan,axiom,
% 178.38/178.20 ! [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) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__ident,axiom,
% 178.38/178.20 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 178.38/178.20 ! [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))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__int_I7_J,axiom,
% 178.38/178.20 ! [V_u_2,V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Oorder(T_b)
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__un_I11_J,axiom,
% 178.38/178.20 ! [V_u_2,V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__uminus__greaterThan,axiom,
% 178.38/178.20 ! [V_x_2,T_b] :
% 178.38/178.20 ( class_Groups_Oordered__ab__group__add(T_b)
% 178.38/178.20 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__uminus__lessThan,axiom,
% 178.38/178.20 ! [V_x_2,T_b] :
% 178.38/178.20 ( class_Groups_Oordered__ab__group__add(T_b)
% 178.38/178.20 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__int_I5_J,axiom,
% 178.38/178.20 ! [V_u_2,V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Oorder(T_b)
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_greaterThan__Suc,axiom,
% 178.38/178.20 ! [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)))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 178.38/178.20 ! [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))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 178.38/178.20 ! [V_f_2,V_A_2,T_b] :
% 178.38/178.20 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 178.38/178.20 & class_Groups_Ocomm__monoid__mult(T_b) )
% 178.38/178.20 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 178.38/178.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_finite__pointwise,axiom,
% 178.38/178.20 ! [V_Qa_2,V_Pa_2,V_Q_H_2,V_c0_2,V_P_H_2,V_Ga_2,T_c,V_U_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_U_2))
% 178.38/178.20 => ( ! [B_p] :
% 178.38/178.20 ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),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_c),tc_HOL_Obool))))
% 178.38/178.20 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),hAPP(V_Pa_2,B_p)),hAPP(V_c0_2,B_p)),hAPP(V_Qa_2,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool)))) )
% 178.38/178.20 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(c_Set_Oimage(T_b,tc_Hoare__Mirabelle_Otriple(T_c),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(c_COMBS(T_b,tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),T_b),c_Hoare__Mirabelle_Otriple_Otriple(T_c)),V_P_H_2)),V_c0_2)),V_Q_H_2)),V_U_2))
% 178.38/178.20 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(c_Set_Oimage(T_b,tc_Hoare__Mirabelle_Otriple(T_c),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(c_COMBS(T_b,tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),T_b),c_Hoare__Mirabelle_Otriple_Otriple(T_c)),V_Pa_2)),V_c0_2)),V_Qa_2)),V_U_2)) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_fun__upd__image,axiom,
% 178.38/178.20 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 178.38/178.20 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.20 => hAPP(c_Set_Oimage(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) )
% 178.38/178.20 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.20 => hAPP(c_Set_Oimage(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_fun__upd__triv,axiom,
% 178.38/178.20 ! [V_x_2,V_f_2,T_c,T_b] : c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,hAPP(V_f_2,V_x_2)) = V_f_2 ).
% 178.38/178.20
% 178.38/178.20 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2] :
% 178.38/178.20 ( c_Nat__Transfer_Onat__set(V_A_2)
% 178.38/178.20 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 178.38/178.20 => ( V_A_2 = V_B_2
% 178.38/178.20 <=> 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) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_fun__upd__def,axiom,
% 178.38/178.20 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] :
% 178.38/178.20 ( ( V_x_2 = V_a_2
% 178.38/178.20 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 )
% 178.38/178.20 & ( V_x_2 != V_a_2
% 178.38/178.20 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_fun__upd__idem__iff,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2
% 178.38/178.20 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_fun__upd__upd,axiom,
% 178.38/178.20 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] : c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_x_2,V_z_2) = c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_z_2) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_fun__upd__same,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : hAPP(c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2),V_x_2) = V_y_2 ).
% 178.38/178.20
% 178.38/178.20 fof(fact_fun__upd__apply,axiom,
% 178.38/178.20 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 178.38/178.20 ( ( V_z_2 = V_x_2
% 178.38/178.20 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
% 178.38/178.20 & ( V_z_2 != V_x_2
% 178.38/178.20 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_fun__upd__twist,axiom,
% 178.38/178.20 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] :
% 178.38/178.20 ( V_a_2 != V_c_2
% 178.38/178.20 => c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_a_2,V_b_2),V_c_2,V_d_2) = c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_c_2,V_d_2),V_a_2,V_b_2) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_fun__upd__other,axiom,
% 178.38/178.20 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 178.38/178.20 ( V_z_2 != V_x_2
% 178.38/178.20 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_fun__upd__idem,axiom,
% 178.38/178.20 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] :
% 178.38/178.20 ( hAPP(V_f_2,V_x_2) = V_y_2
% 178.38/178.20 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2] :
% 178.38/178.20 ( c_Nat__Transfer_Onat__set(V_A_2)
% 178.38/178.20 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 178.38/178.20 => 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)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2] :
% 178.38/178.20 ( c_Nat__Transfer_Onat__set(V_A_2)
% 178.38/178.20 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 178.38/178.20 => 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)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 178.38/178.20 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_nat__set__def,axiom,
% 178.38/178.20 ! [V_S_2] :
% 178.38/178.20 ( c_Nat__Transfer_Onat__set(V_S_2)
% 178.38/178.20 <=> ! [B_x] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 178.38/178.20 ! [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)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2] :
% 178.38/178.20 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 178.38/178.20 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 178.38/178.20 ! [V_x_2,V_A_2] :
% 178.38/178.20 ( c_Nat__Transfer_Onat__set(V_A_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 178.38/178.20 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 178.38/178.20 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2] :
% 178.38/178.20 ( c_Nat__Transfer_Onat__set(V_A_2)
% 178.38/178.20 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 178.38/178.20 => 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))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 178.38/178.20 ! [V_A_2] :
% 178.38/178.20 ( c_Nat__Transfer_Onat__set(V_A_2)
% 178.38/178.20 => 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 ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 178.38/178.20 ! [V_x_2,V_A_2] :
% 178.38/178.20 ( c_Nat__Transfer_Onat__set(V_A_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 178.38/178.20 ! [V_A_2] :
% 178.38/178.20 ( c_Nat__Transfer_Onat__set(V_A_2)
% 178.38/178.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 178.38/178.20 <=> 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))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 178.38/178.20 ! [V_A_2] :
% 178.38/178.20 ( c_Nat__Transfer_Onat__set(V_A_2)
% 178.38/178.20 => 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)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 178.38/178.20 ! [V_A_2,V_x_2] :
% 178.38/178.20 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 178.38/178.20 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 178.38/178.20 <=> 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))) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2] :
% 178.38/178.20 ( c_Nat__Transfer_Onat__set(V_A_2)
% 178.38/178.20 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 178.38/178.20 <=> 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))) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2] :
% 178.38/178.20 ( c_Nat__Transfer_Onat__set(V_A_2)
% 178.38/178.20 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 178.38/178.20 <=> 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))) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 178.38/178.20 ! [V_f_2,V_A_2,T_b] :
% 178.38/178.20 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 178.38/178.20 & class_Groups_Ocomm__monoid__mult(T_b) )
% 178.38/178.20 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 178.38/178.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2] :
% 178.38/178.20 ( c_Nat__Transfer_Onat__set(V_A_2)
% 178.38/178.20 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 178.38/178.20 => 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))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atLeast__Suc,axiom,
% 178.38/178.20 ! [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)))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 178.38/178.20 ! [V_N_2,V_h_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 178.38/178.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 178.38/178.20 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(V_h_2,c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_N_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Max_Ohom__commute,axiom,
% 178.38/178.20 ! [V_N_2,V_h_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 178.38/178.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 178.38/178.20 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atLeast__eq__iff,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)
% 178.38/178.20 <=> V_x_2 = V_y_2 ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atLeast__iff,axiom,
% 178.38/178.20 ! [V_k_2,V_i_2,T_b] :
% 178.38/178.20 ( class_Orderings_Oord(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)))
% 178.38/178.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atLeast__subset__iff,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,T_b] :
% 178.38/178.20 ( class_Orderings_Oorder(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)))
% 178.38/178.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atLeast__0,axiom,
% 178.38/178.20 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)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Compl__lessThan,axiom,
% 178.38/178.20 ! [V_k_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Compl__atLeast,axiom,
% 178.38/178.20 ! [V_k_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atLeast__Suc__greaterThan,axiom,
% 178.38/178.20 ! [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) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__un_I14_J,axiom,
% 178.38/178.20 ! [V_u_2,V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__int_I8_J,axiom,
% 178.38/178.20 ! [V_u_2,V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Oorder(T_b)
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Int__atLeastAtMostR2,axiom,
% 178.38/178.20 ! [V_d_2,V_c_2,V_a_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_a_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),V_d_2) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Int__atLeastAtMostL2,axiom,
% 178.38/178.20 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_c_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),V_b_2) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__atLeast__UNIV,axiom,
% 178.38/178.20 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)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__int_I6_J,axiom,
% 178.38/178.20 ! [V_u_2,V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Oorder(T_b)
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__uminus__atMost,axiom,
% 178.38/178.20 ! [V_x_2,T_b] :
% 178.38/178.20 ( class_Groups_Oordered__ab__group__add(T_b)
% 178.38/178.20 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__uminus__atLeast,axiom,
% 178.38/178.20 ! [V_x_2,T_b] :
% 178.38/178.20 ( class_Groups_Oordered__ab__group__add(T_b)
% 178.38/178.20 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_atMost__Int__atLeast,axiom,
% 178.38/178.20 ! [V_n_2,T_b] :
% 178.38/178.20 ( class_Orderings_Oorder(T_b)
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_n_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_n_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_n_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__un_I1_J,axiom,
% 178.38/178.20 ! [V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__un_I13_J,axiom,
% 178.38/178.20 ! [V_u_2,V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ivl__disj__un_I12_J,axiom,
% 178.38/178.20 ! [V_u_2,V_l_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 178.38/178.20 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Min_Ohom__commute,axiom,
% 178.38/178.20 ! [V_N_2,V_h_2,T_b] :
% 178.38/178.20 ( class_Orderings_Olinorder(T_b)
% 178.38/178.20 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 178.38/178.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 178.38/178.20 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Inf__fin_Ohom__commute,axiom,
% 178.38/178.20 ! [V_N_2,V_h_2,T_b] :
% 178.38/178.20 ( class_Lattices_Olattice(T_b)
% 178.38/178.20 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 178.38/178.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 178.38/178.20 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OInf__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Sup__fin_Ohom__commute,axiom,
% 178.38/178.20 ! [V_N_2,V_h_2,T_b] :
% 178.38/178.20 ( class_Lattices_Olattice(T_b)
% 178.38/178.20 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 178.38/178.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 178.38/178.20 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OSup__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_hom__fold1__commute,axiom,
% 178.38/178.20 ! [V_N_2,V_h_2,T_b] :
% 178.38/178.20 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 178.38/178.20 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 178.38/178.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 178.38/178.20 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(V_h_2,hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_N_2)) = hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_equiv__intrel__iff,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2] :
% 178.38/178.20 ( 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))))
% 178.38/178.20 <=> 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)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_escape,axiom,
% 178.38/178.20 ! [V_Qa_2,V_c_2,V_Ga_2,T_b,V_Pa_2] :
% 178.38/178.20 ( ! [B_Z,B_s] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 178.38/178.20 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),B_s))),V_c_2),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(V_Qa_2,B_Z)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) )
% 178.38/178.20 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Image__Un,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Image__UN,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,T_d,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Image__empty,axiom,
% 178.38/178.20 ! [V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Image__Int__subset,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Image__mono,axiom,
% 178.38/178.20 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_H_2),V_A_H_2)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Un__Image,axiom,
% 178.38/178.20 ! [V_A_2,V_S_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_R_2),V_S_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_S_2),V_A_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Image__Id__on,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Image__INT__subset,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,T_d,V_r_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_rev__ImageI,axiom,
% 178.38/178.20 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Image__iff,axiom,
% 178.38/178.20 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 178.38/178.20 <=> ? [B_x] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 178.38/178.20 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Image__eq__UN,axiom,
% 178.38/178.20 ! [V_B_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Relation_OImage(T_c,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Image__singleton__iff,axiom,
% 178.38/178.20 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 178.38/178.20 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_b_2)),V_r_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_of__int,axiom,
% 178.38/178.20 ! [V_j_2,V_i_2,T_b] :
% 178.38/178.20 ( class_Rings_Oring__1(T_b)
% 178.38/178.20 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_i_2),V_j_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_i_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_j_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_One__int__def,axiom,
% 178.38/178.20 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))))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_mult,axiom,
% 178.38/178.20 ! [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))))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Rep__Integ__inverse,axiom,
% 178.38/178.20 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 178.38/178.20
% 178.38/178.20 fof(fact_minus,axiom,
% 178.38/178.20 ! [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))))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Zero__int__def,axiom,
% 178.38/178.20 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))))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_int__def,axiom,
% 178.38/178.20 ! [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))))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_add,axiom,
% 178.38/178.20 ! [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))))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_nat,axiom,
% 178.38/178.20 ! [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) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_minus__int__def,axiom,
% 178.38/178.20 ! [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))))))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_less,axiom,
% 178.38/178.20 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 178.38/178.20 ( 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)))))))
% 178.38/178.20 <=> 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))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_le,axiom,
% 178.38/178.20 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 178.38/178.20 ( 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)))))))
% 178.38/178.20 <=> 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))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_eq__Abs__Integ,axiom,
% 178.38/178.20 ! [V_z_2] :
% 178.38/178.20 ~ ! [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))))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_quotient__def,axiom,
% 178.38/178.20 ! [V_r_2,V_A_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),c_Relation_OImage(T_b,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_ImageE,axiom,
% 178.38/178.20 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 178.38/178.20 => ~ ! [B_x] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2))
% 178.38/178.20 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_quotient__is__empty,axiom,
% 178.38/178.20 ! [V_r_2,V_A_2,T_b] :
% 178.38/178.20 ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 178.38/178.20 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_quotient__is__empty2,axiom,
% 178.38/178.20 ! [V_r_2,V_A_2,T_b] :
% 178.38/178.20 ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)
% 178.38/178.20 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_quotient__empty,axiom,
% 178.38/178.20 ! [V_r_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_quotientI,axiom,
% 178.38/178.20 ! [V_r_2,V_A_2,V_x_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_singleton__quotient,axiom,
% 178.38/178.20 ! [V_r_2,V_x_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_equiv__class__nondisjoint,axiom,
% 178.38/178.20 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_subset__equiv__class,axiom,
% 178.38/178.20 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_quotientE,axiom,
% 178.38/178.20 ! [V_r_2,V_A_2,V_X_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 178.38/178.20 => ~ ! [B_x] :
% 178.38/178.20 ( V_X_2 = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 178.38/178.20 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_equiv__intrel,axiom,
% 178.38/178.20 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) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Union__quotient,axiom,
% 178.38/178.20 ! [V_r_2,V_A_2,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 178.38/178.20 => c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = V_A_2 ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_equiv__class__self,axiom,
% 178.38/178.20 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_quotient__disj,axiom,
% 178.38/178.20 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 178.38/178.20 => ( V_X_2 = V_Y_2
% 178.38/178.20 | hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_equiv__class__eq,axiom,
% 178.38/178.20 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 178.38/178.20 => hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_quotient__eqI,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 178.38/178.20 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_quotient__eq__iff,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 178.38/178.20 => ( V_X_2 = V_Y_2
% 178.38/178.20 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_eq__equiv__class,axiom,
% 178.38/178.20 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] :
% 178.38/178.20 ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 178.38/178.20 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_eq__equiv__class__iff,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 178.38/178.20 => ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 178.38/178.20 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_equiv__class__eq__iff,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 178.38/178.20 <=> ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 178.38/178.20 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.20 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_equiv__class__subset,axiom,
% 178.38/178.20 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_eq__equiv__class__iff2,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 178.38/178.20 => ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2)
% 178.38/178.20 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__equiv__class,axiom,
% 178.38/178.20 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 178.38/178.20 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 178.38/178.20 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_f_2) = hAPP(V_f_2,V_a_2) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__equiv__class2,axiom,
% 178.38/178.20 ! [V_a2_2,V_a1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 178.38/178.20 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 178.38/178.20 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2))
% 178.38/178.20 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r1_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a2_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) = hAPP(hAPP(V_f_2,V_a1_2),V_a2_2) ) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_equivp__equiv,axiom,
% 178.38/178.20 ! [V_A_2,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 178.38/178.20 <=> c_Equiv__Relations_Oequivp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_A_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_equivp__transp,axiom,
% 178.38/178.20 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_equivp__symp,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_equivp__reflp,axiom,
% 178.38/178.20 ! [V_x_2,V_R_2,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 178.38/178.20 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_equivp__def,axiom,
% 178.38/178.20 ! [V_R_2,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 178.38/178.20 <=> ! [B_x,B_y] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 178.38/178.20 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_identity__equivp,axiom,
% 178.38/178.20 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_congruent2__implies__congruent,axiom,
% 178.38/178.20 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2)
% 178.38/178.20 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 178.38/178.20 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_congruent2D,axiom,
% 178.38/178.20 ! [V_z2_2,V_y2_2,V_z1_2,V_y1_2,V_f_2,V_r2_2,V_r1_2,T_d,T_c,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y1_2),V_z1_2)),V_r1_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y2_2),V_z2_2)),V_r2_2))
% 178.38/178.20 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_congruentD,axiom,
% 178.38/178.20 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_r_2))
% 178.38/178.20 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_congruent2__implies__congruent__UN,axiom,
% 178.38/178.20 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 178.38/178.20 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 178.38/178.20 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2))
% 178.38/178.20 => c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_d,tc_HOL_Obool),V_r1_2,hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__equiv__class__inject,axiom,
% 178.38/178.20 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 178.38/178.20 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 178.38/178.20 => ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_Y_2),V_f_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 178.38/178.20 => ( ! [B_x] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.38/178.20 => ! [B_y] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 178.38/178.20 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) ) ) )
% 178.38/178.20 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__equiv__class__type2,axiom,
% 178.38/178.20 ! [V_B_2,V_X2_2,V_X1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 178.38/178.20 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 178.38/178.20 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A1_2),V_r1_2)))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X2_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A2_2),V_r2_2)))
% 178.38/178.20 => ( ! [B_x1] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2))
% 178.38/178.20 => ! [B_x2] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_X2_2)),V_f_2))),V_B_2)) ) ) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UN__equiv__class__type,axiom,
% 178.38/178.20 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 178.38/178.20 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 178.38/178.20 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 178.38/178.20 => ( ! [B_x] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2)),V_B_2)) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Integ__def,axiom,
% 178.38/178.20 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) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_card__quotient__disjoint,axiom,
% 178.38/178.20 ! [V_r_2,V_A_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.20 => ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2)
% 178.38/178.20 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 178.38/178.20 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 178.38/178.20 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 178.38/178.20 & class_Groups_Ocomm__monoid__mult(T_b) )
% 178.38/178.20 => ( V_A_2 = V_B_2
% 178.38/178.20 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 178.38/178.20 => ( ! [B_x] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 178.38/178.20 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 178.38/178.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__on__empty,axiom,
% 178.38/178.20 ! [V_f_2,T_c,T_b] : c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__uminus,axiom,
% 178.38/178.20 ! [V_A_2,T_b] :
% 178.38/178.20 ( class_Groups_Oordered__ab__group__add(T_b)
% 178.38/178.20 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__on__Int,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.20 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 178.38/178.20 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__on__diff,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.20 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__on__def,axiom,
% 178.38/178.20 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.20 <=> ! [B_x] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.38/178.20 => ! [B_xa] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 178.38/178.20 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 178.38/178.20 => B_x = B_xa ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__on__id2,axiom,
% 178.38/178.20 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__on__contraD,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.20 => ( V_x_2 != V_y_2
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 178.38/178.20 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__on__iff,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 178.38/178.20 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 178.38/178.20 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__onD,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.20 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 178.38/178.20 => V_x_2 = V_y_2 ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_subset__inj__on,axiom,
% 178.38/178.20 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 178.38/178.20 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__fun,axiom,
% 178.38/178.20 ! [T_d,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.38/178.20 => c_Fun_Oinj__on(T_b,tc_fun(T_d,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,T_c),T_b),c_COMBK(T_c,T_d)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__eq,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.38/178.20 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 178.38/178.20 <=> V_x_2 = V_y_2 ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_injD,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.38/178.20 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 178.38/178.20 => V_x_2 = V_y_2 ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_finite__imageD,axiom,
% 178.38/178.20 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 178.38/178.20 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2)
% 178.38/178.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__image__eq__iff,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.38/178.20 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)
% 178.38/178.20 <=> V_A_2 = V_B_2 ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 178.38/178.20 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)
% 178.38/178.20 <=> V_A_2 = V_B_2 ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_card__image,axiom,
% 178.38/178.20 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.20 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__on__strict__subset,axiom,
% 178.38/178.20 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__image__mem__iff,axiom,
% 178.38/178.20 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 178.38/178.20 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_range__ex1__eq,axiom,
% 178.38/178.20 ! [V_b_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 178.38/178.20 <=> ? [B_x] :
% 178.38/178.20 ( V_b_2 = hAPP(V_f_2,B_x)
% 178.38/178.20 & ! [B_y] :
% 178.38/178.20 ( V_b_2 = hAPP(V_f_2,B_y)
% 178.38/178.20 => B_y = B_x ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__on__iff__surj,axiom,
% 178.38/178.20 ! [V_A_H_2,T_c,T_b,V_A_2] :
% 178.38/178.20 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => ( ? [B_f] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 178.38/178.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_A_H_2)) )
% 178.38/178.20 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_finite__surj__inj,axiom,
% 178.38/178.20 ! [V_f_2,V_A_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2)))
% 178.38/178.20 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_endo__inj__surj,axiom,
% 178.38/178.20 ! [V_f_2,V_A_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2)),V_A_2))
% 178.38/178.20 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2)
% 178.38/178.20 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_finite__UNIV__inj__surj,axiom,
% 178.38/178.20 ! [V_f_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 178.38/178.20 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.38/178.20 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_finite__UNIV__surj__inj,axiom,
% 178.38/178.20 ! [V_f_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 178.38/178.20 => ( hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__image__subset__iff,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)))
% 178.38/178.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__on__image__Int,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 178.38/178.20 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__Int,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.38/178.20 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_eq__card__imp__inj__on,axiom,
% 178.38/178.20 ! [V_f_2,T_c,V_A_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.20 => ( hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2)
% 178.38/178.20 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__on__iff__eq__card,axiom,
% 178.38/178.20 ! [V_f_2,T_c,V_A_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.20 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.20 <=> hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__on__image__set__diff,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 178.38/178.20 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__set__diff,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.38/178.20 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_pigeonhole,axiom,
% 178.38/178.20 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_c),V_A_2)))
% 178.38/178.20 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__on__fun__updI,axiom,
% 178.38/178.20 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.20 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 178.38/178.20 => c_Fun_Oinj__on(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_A_2) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__singleton,axiom,
% 178.38/178.20 ! [T_b] : c_Fun_Oinj__on(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Rep__Integ,axiom,
% 178.38/178.20 ! [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)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_card__bij__eq,axiom,
% 178.38/178.20 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2))
% 178.38/178.20 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_B_2)),V_A_2))
% 178.38/178.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 178.38/178.20 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__image__Compl__subset,axiom,
% 178.38/178.20 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__on__insert,axiom,
% 178.38/178.20 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))
% 178.38/178.20 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.20 & ~ hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__on__Un,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 178.38/178.20 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.20 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 178.38/178.20 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__on__iff__card__le,axiom,
% 178.38/178.20 ! [V_B_2,T_c,V_A_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 178.38/178.20 => ( ? [B_f] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 178.38/178.20 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_B_2)) )
% 178.38/178.20 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_card__inj__on__le,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2))
% 178.38/178.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_quotient__diff1,axiom,
% 178.38/178.20 ! [V_a_2,V_A_2,V_r_2,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 178.38/178.20 => hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__INT,axiom,
% 178.38/178.20 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 178.38/178.20 => ( ! [B_x] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,B_x)),V_C_2)) )
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2))
% 178.38/178.20 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_Oimage(T_b,T_c,V_f_2)),V_B_2)) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_type__definition__Integ,axiom,
% 178.38/178.20 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) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_the__inv__into__into,axiom,
% 178.38/178.20 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_x_2)),V_B_2)) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__on__add__nat,axiom,
% 178.38/178.20 ! [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) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__Suc,axiom,
% 178.38/178.20 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__of__nat,axiom,
% 178.38/178.20 ! [T_b] :
% 178.38/178.20 ( class_Nat_Osemiring__char__0(T_b)
% 178.38/178.20 => c_Fun_Oinj__on(tc_Nat_Onat,T_b,c_Nat_Osemiring__1__class_Oof__nat(T_b),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__int,axiom,
% 178.38/178.20 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))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_swap__inj__on,axiom,
% 178.38/178.20 ! [V_A_2,T_c,T_b] : c_Fun_Oinj__on(tc_prod(T_b,T_c),tc_prod(T_c,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_c,T_b)),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))),V_A_2) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_the__inv__into__f__eq,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.20 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.20 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_the__inv__into__f__f,axiom,
% 178.38/178.20 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.20 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__on__the__inv__into,axiom,
% 178.38/178.20 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.20 => c_Fun_Oinj__on(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_the__inv__into__onto,axiom,
% 178.38/178.20 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.20 => hAPP(c_Set_Oimage(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_the__inv__f__f,axiom,
% 178.38/178.20 ! [V_x_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.38/178.20 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_f__the__inv__into__f,axiom,
% 178.38/178.20 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 178.38/178.20 => hAPP(V_f_2,hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_type__definition_OAbs__image,axiom,
% 178.38/178.20 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 178.38/178.20 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 178.38/178.20 => hAPP(c_Set_Oimage(T_c,T_b,V_Abs_2),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_type__definition_ORep__range,axiom,
% 178.38/178.20 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 178.38/178.20 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 178.38/178.20 => hAPP(c_Set_Oimage(T_b,T_c,V_Rep_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_type__definition_ORep,axiom,
% 178.38/178.20 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 178.38/178.20 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_type__definition_ORep__inverse,axiom,
% 178.38/178.20 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 178.38/178.20 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 178.38/178.20 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_type__definition_ORep__inject,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 178.38/178.20 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 178.38/178.20 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 178.38/178.20 <=> V_x_2 = V_y_2 ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_type__definition_OAbs__inject,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 178.38/178.20 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 178.38/178.20 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 178.38/178.20 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_type__definition_OAbs__inverse,axiom,
% 178.38/178.20 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 178.38/178.20 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 178.38/178.20 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 178.38/178.20 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 178.38/178.20 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 178.38/178.20 & class_Groups_Ocomm__monoid__mult(T_b) )
% 178.38/178.20 => ( V_A_2 = V_B_2
% 178.38/178.20 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 178.38/178.20 => ( ! [B_x] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 178.38/178.20 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 178.38/178.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_accp__acc__eq,axiom,
% 178.38/178.20 ! [V_x_2,V_r_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),V_x_2))
% 178.38/178.20 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_max__extp_Oequations,axiom,
% 178.38/178.20 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 178.38/178.20 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 178.38/178.20 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 178.38/178.20 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 178.38/178.20 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 & ! [B_x] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 178.38/178.20 => ? [B_xa] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 178.38/178.20 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_acc__subset,axiom,
% 178.38/178.20 ! [V_R2_2,V_R1_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R1_2),V_R2_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oacc(T_b,V_R2_2)),c_Wellfounded_Oacc(T_b,V_R1_2))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_acc__downward,axiom,
% 178.38/178.20 ! [V_a_2,V_r_2,V_b_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_acc_Osimps,axiom,
% 178.38/178.20 ! [V_r_2,V_a_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 178.38/178.20 <=> ! [B_x] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_a_2)),V_r_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_max__ext_Ointros,axiom,
% 178.38/178.20 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 178.38/178.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 178.38/178.20 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => ( ! [B_x] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 178.38/178.20 => ? [B_xa] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 178.38/178.20 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) )
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 178.38/178.20 ! [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))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__on__Inter,axiom,
% 178.38/178.20 ! [V_f_2,T_c,T_b,V_S_2] :
% 178.38/178.20 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 178.38/178.20 => ( ! [B_A] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2))
% 178.38/178.20 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) )
% 178.38/178.20 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_S_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Nitpick_Oone__frac__def,axiom,
% 178.38/178.20 ! [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))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 178.38/178.20 ! [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))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Nitpick_Ofrac__def,axiom,
% 178.38/178.20 ! [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)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_the__elem__def,axiom,
% 178.38/178.20 ! [V_X_2,T_b] : c_Set_Othe__elem(T_b,V_X_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),hAPP(c_fequal,V_X_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 178.38/178.20 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] :
% 178.38/178.20 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 178.38/178.20 => ( ! [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))
% 178.38/178.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 178.38/178.20 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(V_h_2,hAPP(V_F_2,V_N_2)) = hAPP(V_F_2,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Rep__Integ__cases,axiom,
% 178.38/178.20 ! [V_y_2] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 178.38/178.20 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_split__paired__The,axiom,
% 178.38/178.20 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),V_Pa_2) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_The__split__eq,axiom,
% 178.38/178.20 ! [V_y_2,V_x_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_the__inv__into__def,axiom,
% 178.38/178.20 ! [V_x_2,V_f_2,V_A_2,T_c,T_b] : hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_x_2))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_fold__def,axiom,
% 178.38/178.20 ! [V_A_2,V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold__graph(T_c,T_b,V_f_2,V_z_2,V_A_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_divmod__nat__def,axiom,
% 178.38/178.20 ! [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)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_fold1__def,axiom,
% 178.38/178.20 ! [V_A_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_The__split,axiom,
% 178.38/178.20 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2)) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_flat__lub__def,axiom,
% 178.38/178.20 ! [V_b_2,V_A_2,T_b] :
% 178.38/178.20 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 178.38/178.20 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 )
% 178.38/178.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 178.38/178.20 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__vimage__singleton,axiom,
% 178.38/178.20 ! [V_a_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_b),c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_a_2))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Rep__Integ__induct,axiom,
% 178.38/178.20 ! [V_Pa_2,V_y_2] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 178.38/178.20 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x)))
% 178.38/178.20 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_vimageI,axiom,
% 178.38/178.20 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] :
% 178.38/178.20 ( hAPP(V_f_2,V_a_2) = V_b_2
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_vimage__UNIV,axiom,
% 178.38/178.20 ! [V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_vimage__UN,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Ovimage(T_b,T_c,V_f_2)),V_B_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_vimage__mono,axiom,
% 178.38/178.20 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_vimage__ident,axiom,
% 178.38/178.20 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 178.38/178.20
% 178.38/178.20 fof(fact_vimage__empty,axiom,
% 178.38/178.20 ! [V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_vimage__Compl,axiom,
% 178.38/178.20 ! [V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_vimage__code,axiom,
% 178.38/178.20 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2))
% 178.38/178.20 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_vimage__Un,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_vimage__Int,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_vimage__INT,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Ovimage(T_b,T_c,V_f_2)),V_B_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_vimage__Diff,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_vimage__eq,axiom,
% 178.38/178.20 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)))
% 178.38/178.20 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_vimageD,axiom,
% 178.38/178.20 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_vimageI2,axiom,
% 178.38/178.20 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__vimage__subset,axiom,
% 178.38/178.20 ! [V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))),V_A_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_surj__image__vimage__eq,axiom,
% 178.38/178.20 ! [V_A_2,V_f_2,T_b,T_c] :
% 178.38/178.20 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = V_A_2 ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_vimage__Union,axiom,
% 178.38/178.20 ! [V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Set_Ovimage(T_b,T_c,V_f_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_vimage__singleton__eq,axiom,
% 178.38/178.20 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 178.38/178.20 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_vimage__insert,axiom,
% 178.38/178.20 ! [V_B_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_finite__vimageD,axiom,
% 178.38/178.20 ! [V_F_2,V_h_2,T_c,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 178.38/178.20 => ( hAPP(c_Set_Oimage(T_b,T_c,V_h_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 178.38/178.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_vimage__subsetD,axiom,
% 178.38/178.20 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] :
% 178.38/178.20 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2)),V_A_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__vimage__eq,axiom,
% 178.38/178.20 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_finite__vimageI,axiom,
% 178.38/178.20 ! [V_h_2,T_c,V_F_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 178.38/178.20 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 178.38/178.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__vimage__image__eq,axiom,
% 178.38/178.20 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.38/178.20 => hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_vimage__const,axiom,
% 178.38/178.20 ! [T_c,V_A_2,V_c_2,T_b] :
% 178.38/178.20 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 178.38/178.20 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 178.38/178.20 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 178.38/178.20 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_vimage__eq__UN,axiom,
% 178.38/178.20 ! [V_B_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_Ovimage(T_b,T_c,V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_vimage__subsetI,axiom,
% 178.38/178.20 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 178.38/178.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)),V_A_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_vimage__if,axiom,
% 178.38/178.20 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] :
% 178.38/178.20 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 178.38/178.20 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 178.38/178.20 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 178.38/178.20 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 178.38/178.20 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = V_B_2 ) ) )
% 178.38/178.20 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 178.38/178.20 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 178.38/178.20 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_B_2) )
% 178.38/178.20 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 178.38/178.20 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_image__split__eq__Sigma,axiom,
% 178.38/178.20 ! [V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Set_Oimage(T_d,tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_Oimage(T_d,T_c,V_g_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_b),c_Set_Ovimage(T_d,T_b,V_f_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_A_2))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_inj__on__INTER,axiom,
% 178.38/178.20 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] :
% 178.38/178.20 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 => ( ! [B_i] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2))
% 178.38/178.20 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) )
% 178.38/178.20 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_card__less__Suc2,axiom,
% 178.38/178.20 ! [V_i_2,V_M_2] :
% 178.38/178.20 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 178.38/178.20 => 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))))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_CollectI,axiom,
% 178.38/178.20 ! [T_b,V_a_2,V_Pa_2] :
% 178.38/178.20 ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_finite__Collect__conjI,axiom,
% 178.38/178.20 ! [V_Qa_2,V_Pa_2,T_b] :
% 178.38/178.20 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 178.38/178.20 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Qa_2))) )
% 178.38/178.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2)),V_Qa_2)))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_finite__Collect__less__nat,axiom,
% 178.38/178.20 ! [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)))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_finite__Collect__le__nat,axiom,
% 178.38/178.20 ! [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)))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_SigmaI,axiom,
% 178.38/178.20 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 178.38/178.20 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 178.38/178.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_vimage__Collect__eq,axiom,
% 178.38/178.20 ! [V_Pa_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),V_Pa_2),V_f_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_CollectE,axiom,
% 178.38/178.20 ! [V_Pa_2,V_a_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 178.38/178.20 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_CollectD,axiom,
% 178.38/178.20 ! [V_Pa_2,V_a_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 178.38/178.20 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_mem__Collect__eq,axiom,
% 178.38/178.20 ! [V_Pa_2,V_a_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 178.38/178.20 <=> hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Collect__mem__eq,axiom,
% 178.38/178.20 ! [V_A_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)) = V_A_2 ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Times__eq__cancel2,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 178.38/178.20 => ( hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))
% 178.38/178.20 <=> V_A_2 = V_B_2 ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Sigma__Diff__distrib2,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Times__Diff__distrib1,axiom,
% 178.38/178.20 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Sigma__Diff__distrib1,axiom,
% 178.38/178.20 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Sigma__empty1,axiom,
% 178.38/178.20 ! [V_B_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Collect__conj__eq,axiom,
% 178.38/178.20 ! [V_Qa_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Qa_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Collect__disj__eq,axiom,
% 178.38/178.20 ! [V_Qa_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Qa_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_insert__Collect,axiom,
% 178.38/178.20 ! [V_Pa_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)))),V_Pa_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Collect__neg__eq,axiom,
% 178.38/178.20 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Collect__def,axiom,
% 178.38/178.20 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2 ).
% 178.38/178.20
% 178.38/178.20 fof(fact_finite__Collect__disjI,axiom,
% 178.38/178.20 ! [V_Qa_2,V_Pa_2,T_b] :
% 178.38/178.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_Pa_2)),V_Qa_2))))
% 178.38/178.20 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 178.38/178.20 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Qa_2))) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_empty__Collect__eq,axiom,
% 178.38/178.20 ! [V_Pa_2,T_b] :
% 178.38/178.20 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_Pa_2)
% 178.38/178.20 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Collect__empty__eq,axiom,
% 178.38/178.20 ! [V_Pa_2,T_b] :
% 178.38/178.20 ( hAPP(c_Set_OCollect(T_b),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_empty__def,axiom,
% 178.38/178.20 ! [T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Collect__split,axiom,
% 178.38/178.20 ! [V_Qa_2,V_Pa_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Qa_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_OCollect(T_c),V_Qa_2))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_SetCompr__Sigma__eq,axiom,
% 178.38/178.20 ! [V_Qa_2,V_Pa_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Qa_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),V_Qa_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Sigma__Union,axiom,
% 178.38/178.20 ! [V_B_2,V_X_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_X_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Product__Type_OSigma(T_b,T_c)),V_B_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_UNIV__def,axiom,
% 178.38/178.20 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fTrue)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_card__cartesian__product,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_setsum__cartesian__product,axiom,
% 178.38/178.20 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 178.38/178.20 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.38/178.20 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_c,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Times__empty,axiom,
% 178.38/178.20 ! [V_B_2,V_A_2,T_c,T_b] :
% 178.38/178.20 ( hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))
% 178.38/178.20 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.20 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Sigma__empty2,axiom,
% 178.38/178.20 ! [V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Compl__Times__UNIV2,axiom,
% 178.38/178.20 ! [V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_Compl__Times__UNIV1,axiom,
% 178.38/178.20 ! [V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2))) ).
% 178.38/178.20
% 178.38/178.20 fof(fact_setprod__cartesian__product,axiom,
% 178.38/178.20 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 178.38/178.20 ( class_Groups_Ocomm__monoid__mult(T_b)
% 178.38/178.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_c,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_insert__compr,axiom,
% 178.38/178.21 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_insert__compr__raw,axiom,
% 178.38/178.21 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Un__def,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Int__def,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Int__Collect,axiom,
% 178.38/178.21 ! [V_Pa_2,V_A_2,V_x_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))))
% 178.38/178.21 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.21 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_singleton__conv2,axiom,
% 178.38/178.21 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_singleton__conv,axiom,
% 178.38/178.21 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Collect__conv__if2,axiom,
% 178.38/178.21 ! [T_b,V_a_2,V_Pa_2] :
% 178.38/178.21 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 178.38/178.21 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 178.38/178.21 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 178.38/178.21 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Collect__conv__if,axiom,
% 178.38/178.21 ! [T_b,V_a_2,V_Pa_2] :
% 178.38/178.21 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 178.38/178.21 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 178.38/178.21 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 178.38/178.21 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Sigma__Un__distrib2,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Times__Un__distrib1,axiom,
% 178.38/178.21 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Sigma__Un__distrib1,axiom,
% 178.38/178.21 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_set__diff__eq,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_finite__Collect__not,axiom,
% 178.38/178.21 ! [V_Pa_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2))))
% 178.38/178.21 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_insert__def,axiom,
% 178.38/178.21 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_B_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_swap__product,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_prod(T_b,T_c)),hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_finite__cartesian__product,axiom,
% 178.38/178.21 ! [V_B_2,T_c,V_A_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 178.38/178.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Compl__eq,axiom,
% 178.38/178.21 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_vimage__def,axiom,
% 178.38/178.21 ! [V_B_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(T_c)),V_f_2)),V_B_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_equiv__type,axiom,
% 178.38/178.21 ! [V_r_2,V_A_2,T_b] :
% 178.38/178.21 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Sigma__Int__distrib1,axiom,
% 178.38/178.21 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Times__Int__distrib1,axiom,
% 178.38/178.21 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Sigma__Int__distrib2,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Collect__imp__eq,axiom,
% 178.38/178.21 ! [V_Qa_2,V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),V_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2))),hAPP(c_Set_OCollect(T_b),V_Qa_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Id__on__subset__Times,axiom,
% 178.38/178.21 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId__on(T_b,V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_finite__M__bounded__by__nat,axiom,
% 178.38/178.21 ! [V_i_2,V_Pa_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),V_Pa_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_UNIV__Times__UNIV,axiom,
% 178.38/178.21 ! [T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_SigmaE2,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 178.38/178.21 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 178.38/178.21 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_SigmaD2,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_SigmaD1,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_mem__Sigma__iff,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 178.38/178.21 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 178.38/178.21 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_card__cartesian__product__singleton,axiom,
% 178.38/178.21 ! [V_A_2,V_x_2,T_c,T_b] : hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2))) = hAPP(c_Finite__Set_Ocard(T_c),V_A_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Times__subset__cancel2,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))))
% 178.38/178.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Image__subset,axiom,
% 178.38/178.21 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_C_2)),V_B_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_setsum__setsum__restrict,axiom,
% 178.38/178.21 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] :
% 178.38/178.21 ( class_Groups_Ocomm__monoid__add(T_d)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 178.38/178.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_d),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_d),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d)),hAPP(c_COMBC(T_b,T_c,T_d),V_f_2))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2))))),V_T_2) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_finite__cartesian__productD2,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 178.38/178.21 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_finite__cartesian__productD1,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 178.38/178.21 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 178.38/178.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_if__image__distrib,axiom,
% 178.38/178.21 ! [V_S_2,V_g_2,V_f_2,V_Pa_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),V_Pa_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)))),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),V_Pa_2))))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_fst__image__times,axiom,
% 178.38/178.21 ! [V_A_2,T_c,T_b,V_B_2] :
% 178.38/178.21 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 => hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 178.38/178.21 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 => hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = V_A_2 ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_snd__image__times,axiom,
% 178.38/178.21 ! [V_B_2,T_c,T_b,V_A_2] :
% 178.38/178.21 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 178.38/178.21 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = V_B_2 ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_nat__seg__image__imp__finite,axiom,
% 178.38/178.21 ! [V_n_2,V_f_2,T_b,V_A_2] :
% 178.38/178.21 ( V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,V_f_2),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_n_2)))
% 178.38/178.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_setsum__restrict__set_H,axiom,
% 178.38/178.21 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 178.38/178.21 ( class_Groups_Ocomm__monoid__add(T_c)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_insert__times__insert,axiom,
% 178.38/178.21 ! [V_B_2,V_b_2,V_A_2,V_a_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_B_2))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_B_2)))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_setsum__image__gen,axiom,
% 178.38/178.21 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] :
% 178.38/178.21 ( class_Groups_Ocomm__monoid__add(T_c)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 178.38/178.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),T_c,T_d),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,tc_HOL_Obool),T_b),c_fequal),V_f_2)))))),hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_S_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_finite__equiv__class,axiom,
% 178.38/178.21 ! [V_X_2,V_r_2,V_A_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 178.38/178.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_UN__Times__distrib,axiom,
% 178.38/178.21 ! [V_F_2,V_E_2,V_B_2,V_A_2,T_c,T_b,T_e,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(T_d,T_e),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_d,T_e),V_A_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_d),V_B_2))),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),tc_fun(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_e,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),tc_fun(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_e)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_d),c_Product__Type_OSigma(T_b,T_c)),V_E_2))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),T_e),c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b)),V_F_2)))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_E_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_F_2))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Sigma__def,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),V_B_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_c),c_Set_Oinsert(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_finite__quotient,axiom,
% 178.38/178.21 ! [V_r_2,V_A_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 178.38/178.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Image__singleton,axiom,
% 178.38/178.21 ! [V_a_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_b))),hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2))),V_r_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_setsum__cases,axiom,
% 178.38/178.21 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_b,T_c] :
% 178.38/178.21 ( class_Groups_Ocomm__monoid__add(T_c)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),V_Pa_2)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2))))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_card__less__Suc,axiom,
% 178.38/178.21 ! [V_i_2,V_M_2] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 178.38/178.21 => 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))))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_card__less,axiom,
% 178.38/178.21 ! [V_i_2,V_M_2] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 178.38/178.21 => 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) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 178.38/178.21 ! [V_A_2,V_I_2,T_c,T_b] :
% 178.38/178.21 ? [B_f] :
% 178.38/178.21 ( c_Fun_Oinj__on(T_b,tc_prod(T_c,T_b),B_f,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))
% 178.38/178.21 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,tc_prod(T_c,T_b),B_f),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_I_2),V_A_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_fold__image__Sigma,axiom,
% 178.38/178.21 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 178.38/178.21 ( class_Groups_Ocomm__monoid__mult(T_d)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( ! [B_x] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.38/178.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 178.38/178.21 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBC(T_b,T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d)),T_b),c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d))),V_g_2)),c_Groups_Oone__class_Oone(T_d))),V_B_2)),c_Groups_Oone__class_Oone(T_d)),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,tc_prod(T_b,T_c),c_Groups_Otimes__class_Otimes(T_d)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_g_2)),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_setsum__multicount,axiom,
% 178.38/178.21 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 178.38/178.21 => ( ! [B_x] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2))
% 178.38/178.21 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = V_k_2 )
% 178.38/178.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_c),V_T_2)) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_finite__Collect__subsets,axiom,
% 178.38/178.21 ! [V_A_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Pow__def,axiom,
% 178.38/178.21 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_inj__graph,axiom,
% 178.38/178.21 ! [T_c,T_b] : c_Fun_Oinj__on(tc_fun(T_b,T_c),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,T_c)),c_Set_OCollect(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,T_c)),c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool)),hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal)))),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 178.38/178.21 ! [V_Pa_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_finite__psubset__def,axiom,
% 178.38/178.21 ! [T_b] : c_Wellfounded_Ofinite__psubset(T_b) = hAPP(c_Set_OCollect(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool))))),c_Finite__Set_Ofinite(T_b)))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_inv__image__def,axiom,
% 178.38/178.21 ! [V_f_2,V_r_2,T_b,T_c] : hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_c,T_c)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_c),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_c)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_c)),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),T_b),c_COMBB(T_c,tc_prod(T_c,T_c),T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_prod(T_c,T_c)),T_b),c_Product__Type_OPair(T_c,T_c)),V_f_2))),V_f_2)))),V_r_2))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 178.38/178.21 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Nat_Onat),V_Pa_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 178.38/178.21 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Nat_Onat),V_Pa_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),V_Pa_2),c_Int_Onat)))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Nitpick_Oprod__def,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,T_c,T_b] : c_Nitpick_Oprod(T_b,T_c,V_A_2,V_B_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2)))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_int__ge__less__than__def,axiom,
% 178.38/178.21 ! [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)))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_int__ge__less__than2__def,axiom,
% 178.38/178.21 ! [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)))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_setprod__Sigma,axiom,
% 178.38/178.21 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 178.38/178.21 ( class_Groups_Ocomm__monoid__mult(T_d)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( ! [B_x] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.38/178.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 178.38/178.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_setsum__Sigma,axiom,
% 178.38/178.21 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 178.38/178.21 ( class_Groups_Ocomm__monoid__add(T_d)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( ! [B_x] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.38/178.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 178.38/178.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_card__SigmaI,axiom,
% 178.38/178.21 ! [V_B_2,T_c,V_A_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( ! [B_x] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.38/178.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 178.38/178.21 => hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),V_B_2)),V_A_2) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 178.38/178.21 ! [V_x_2,V_A_2,T_b] :
% 178.38/178.21 ( class_Orderings_Olinorder(T_b)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,T_b] :
% 178.38/178.21 ( class_Orderings_Olinorder(T_b)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 178.38/178.21 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omin(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 178.38/178.21 ! [V_x_2,V_A_2,T_b] :
% 178.38/178.21 ( class_Orderings_Olinorder(T_b)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_finite__Collect__bounded__ex,axiom,
% 178.38/178.21 ! [V_Qa_2,T_c,V_Pa_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),V_Qa_2)))))
% 178.38/178.21 <=> ! [B_y] :
% 178.38/178.21 ( hBOOL(hAPP(V_Pa_2,B_y))
% 178.38/178.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Qa_2),B_y)))) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_finite__image__set,axiom,
% 178.38/178.21 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 178.38/178.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_b)),c_fequal)),V_f_2)))),V_Pa_2))))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Pow__Compl,axiom,
% 178.38/178.21 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool))),c_fequal)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),c_Set_OPow(T_b))))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_add__Min__commute,axiom,
% 178.38/178.21 ! [V_k_2,V_N_2,T_b] :
% 178.38/178.21 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 178.38/178.21 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_add__Max__commute,axiom,
% 178.38/178.21 ! [V_k_2,V_N_2,T_b] :
% 178.38/178.21 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 178.38/178.21 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_sup__Inf2__distrib,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,T_b] :
% 178.38/178.21 ( class_Lattices_Odistrib__lattice(T_b)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 178.38/178.21 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__sup__class_Osup(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_sup__Inf1__distrib,axiom,
% 178.38/178.21 ! [V_x_2,V_A_2,T_b] :
% 178.38/178.21 ( class_Lattices_Odistrib__lattice(T_b)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_inf__Sup2__distrib,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,T_b] :
% 178.38/178.21 ( class_Lattices_Odistrib__lattice(T_b)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 178.38/178.21 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__inf__class_Oinf(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_inf__Sup1__distrib,axiom,
% 178.38/178.21 ! [V_x_2,V_A_2,T_b] :
% 178.38/178.21 ( class_Lattices_Odistrib__lattice(T_b)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,T_b] :
% 178.38/178.21 ( class_Orderings_Olinorder(T_b)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 178.38/178.21 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omax(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] :
% 178.38/178.21 ( class_Rings_Osemiring__0(T_d)
% 178.38/178.21 => ( c_Fun_Oinj__on(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_d),tc_fun(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_d),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),T_b),c_COMBB(T_d,T_d,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_b),c_Groups_Otimes__class_Otimes(T_d)),V_f_2))),V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))
% 178.38/178.21 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_d),c_Fun_Oid(T_d)),hAPP(c_Set_OCollect(T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_d),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c))),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj))),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_b,tc_fun(T_c,T_d)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_c,T_d)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),T_d),c_COMBB(T_d,tc_HOL_Obool,T_c)),c_fequal))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_d),tc_fun(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_d),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),T_b),c_COMBB(T_d,T_d,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_b),c_Groups_Otimes__class_Otimes(T_d)),V_f_2))),V_g_2)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))))))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_finite__SigmaI,axiom,
% 178.38/178.21 ! [V_B_2,T_c,V_A_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( ! [B_a] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 178.38/178.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 178.38/178.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_setsum__multicount__gen,axiom,
% 178.38/178.21 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2))
% 178.38/178.21 => ( ! [B_x] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2))
% 178.38/178.21 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_s_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = hAPP(V_k_2,B_x) )
% 178.38/178.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_t_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_k_2),V_t_2) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_inj__on__id,axiom,
% 178.38/178.21 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_id__def,axiom,
% 178.38/178.21 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 178.38/178.21
% 178.38/178.21 fof(fact_id__apply,axiom,
% 178.38/178.21 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 178.38/178.21
% 178.38/178.21 fof(fact_apfst__id,axiom,
% 178.38/178.21 ! [T_c,T_b] : c_Product__Type_Oapfst(T_b,T_b,T_c,c_Fun_Oid(T_b)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_apsnd__id,axiom,
% 178.38/178.21 ! [T_b,T_c] : c_Product__Type_Oapsnd(T_c,T_c,T_b,c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_vimage__id,axiom,
% 178.38/178.21 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ).
% 178.38/178.21
% 178.38/178.21 fof(fact_image__id,axiom,
% 178.38/178.21 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ).
% 178.38/178.21
% 178.38/178.21 fof(fact_of__int__eq__id,axiom,
% 178.38/178.21 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_surj__id,axiom,
% 178.38/178.21 ! [T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_split__Pair,axiom,
% 178.38/178.21 ! [T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_setsum__reindex__id,axiom,
% 178.38/178.21 ! [V_B_2,V_f_2,T_b,T_c] :
% 178.38/178.21 ( class_Groups_Ocomm__monoid__add(T_c)
% 178.38/178.21 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 178.38/178.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_setprod__reindex__id,axiom,
% 178.38/178.21 ! [V_B_2,V_f_2,T_b,T_c] :
% 178.38/178.21 ( class_Groups_Ocomm__monoid__mult(T_c)
% 178.38/178.21 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 178.38/178.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_SigmaE,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_c_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 178.38/178.21 => ~ ! [B_x] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.38/178.21 => ! [B_y] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x)))
% 178.38/178.21 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_map__pair__surj,axiom,
% 178.38/178.21 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] :
% 178.38/178.21 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_e,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))
% 178.38/178.21 => hAPP(c_Set_Oimage(tc_prod(T_c,T_e),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_c,T_b,T_e,T_d,V_f_2,V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_c,T_e),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_finite__conv__nat__seg__image,axiom,
% 178.38/178.21 ! [V_A_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 <=> ? [B_n,B_f] : V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,B_f),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),B_n))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_map__pair__imageI,axiom,
% 178.38/178.21 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_R_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2))),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),tc_prod(T_d,T_e),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)),V_R_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_map__pair_Oid,axiom,
% 178.38/178.21 ! [T_c,T_b] : c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_Fun_Oid(T_b),c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_map__pair_Oidentity,axiom,
% 178.38/178.21 ! [T_c,T_b] : c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_map__pair__ident,axiom,
% 178.38/178.21 ! [V_z_2,T_c,T_b] : hAPP(c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)),V_z_2) = V_z_2 ).
% 178.38/178.21
% 178.38/178.21 fof(fact_snd__prod__fun,axiom,
% 178.38/178.21 ! [V_x_2,V_g_2,V_f_2,T_e,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Omap__pair(T_d,T_c,T_e,T_b,V_f_2,V_g_2),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_fst__map__pair,axiom,
% 178.38/178.21 ! [V_x_2,V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_map__pair__simp,axiom,
% 178.38/178.21 ! [V_b_2,V_a_2,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),V_a_2),V_b_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_apsnd__def,axiom,
% 178.38/178.21 ! [V_f_2,T_b,T_d,T_c] : c_Product__Type_Oapsnd(T_c,T_d,T_b,V_f_2) = c_Product__Type_Omap__pair(T_b,T_b,T_c,T_d,c_Fun_Oid(T_b),V_f_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_apfst__def,axiom,
% 178.38/178.21 ! [V_f_2,T_c,T_d,T_b] : c_Product__Type_Oapfst(T_b,T_d,T_c,V_f_2) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_c,V_f_2,c_Fun_Oid(T_c)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_map__pair__def,axiom,
% 178.38/178.21 ! [V_g_2,V_f_2,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_d,T_e)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_e),tc_fun(T_c,tc_prod(T_d,T_e))),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_c,T_e),tc_fun(T_c,tc_prod(T_d,T_e))),T_b),c_COMBB(T_e,tc_prod(T_d,T_e),T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_e,tc_prod(T_d,T_e)),T_b),c_Product__Type_OPair(T_d,T_e)),V_f_2))),V_g_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_map__pair__surj__on,axiom,
% 178.38/178.21 ! [V_B_H_2,V_B_2,V_g_2,T_d,T_e,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 178.38/178.21 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 178.38/178.21 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2
% 178.38/178.21 => hAPP(c_Set_Oimage(tc_prod(T_c,T_e),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_c,T_b,T_e,T_d,V_f_2,V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_e),V_A_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_H_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_H_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_map__pair__inj__on,axiom,
% 178.38/178.21 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.21 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2)
% 178.38/178.21 => c_Fun_Oinj__on(tc_prod(T_b,T_d),tc_prod(T_c,T_e),c_Product__Type_Omap__pair(T_b,T_c,T_d,T_e,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_prod__fun__imageE,axiom,
% 178.38/178.21 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_c_2),hAPP(c_Set_Oimage(tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2)),V_R_2)))
% 178.38/178.21 => ~ ! [B_x,B_y] :
% 178.38/178.21 ( V_c_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y))
% 178.38/178.21 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),B_x),B_y)),V_R_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rel__comp__def,axiom,
% 178.38/178.21 ! [V_s_2,V_r_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_d))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBS(T_d,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_d),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBC(T_d,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_b,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_d),tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_b,T_d)))),c_Product__Type_OPair(T_b,T_d)))),V_r_2))))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_d,T_c)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_d,T_c),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_d,T_c)))),hAPP(c_COMBC(T_d,T_c,tc_prod(T_d,T_c)),c_Product__Type_OPair(T_d,T_c))))),V_s_2))))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Range__Collect__split,axiom,
% 178.38/178.21 ! [V_Pa_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Pa_2))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rel__compI,axiom,
% 178.38/178.21 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_b_2),V_c_2)),V_s_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_a_2),V_c_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_RangeI,axiom,
% 178.38/178.21 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rel__comp__mono,axiom,
% 178.38/178.21 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_s_H_2),V_s_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_H_2),V_s_H_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Range__Id__on,axiom,
% 178.38/178.21 ! [V_A_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = V_A_2 ).
% 178.38/178.21
% 178.38/178.21 fof(fact_O__assoc,axiom,
% 178.38/178.21 ! [V_T_2,V_S_2,V_R_2,T_e,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_e,T_d),V_R_2),V_S_2)),V_T_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_e,T_c),V_R_2),hAPP(hAPP(c_Relation_Orel__comp(T_e,T_d,T_c),V_S_2),V_T_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rel__comp__empty1,axiom,
% 178.38/178.21 ! [V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool))),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rel__comp__empty2,axiom,
% 178.38/178.21 ! [V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rel__comp__distrib,axiom,
% 178.38/178.21 ! [V_T_2,V_S_2,V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),V_S_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),V_T_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rel__comp__distrib2,axiom,
% 178.38/178.21 ! [V_R_2,V_T_2,V_S_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),V_S_2),V_T_2)),V_R_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_S_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_T_2),V_R_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rel__comp__UNION__distrib2,axiom,
% 178.38/178.21 ! [V_s_2,V_r_2,V_I_2,T_e,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),V_I_2),V_r_2)),V_s_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBC(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_e),c_Relation_Orel__comp(T_b,T_d,T_c)),V_r_2)),V_s_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rel__comp__UNION__distrib,axiom,
% 178.38/178.21 ! [V_r_2,V_I_2,T_e,V_s_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_s_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_I_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_e),hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_s_2)),V_r_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_union__comp__emptyR,axiom,
% 178.38/178.21 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 178.38/178.21 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 178.38/178.21 => ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 178.38/178.21 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_B_2),V_C_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_union__comp__emptyL,axiom,
% 178.38/178.21 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 178.38/178.21 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 178.38/178.21 => ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_B_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 178.38/178.21 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Range__Union,axiom,
% 178.38/178.21 ! [V_S_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Relation_ORange(T_c,T_b)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Range__empty,axiom,
% 178.38/178.21 ! [T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Range__empty__iff,axiom,
% 178.38/178.21 ! [V_r_2,T_b,T_c] :
% 178.38/178.21 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rel__comp__subset__Sigma,axiom,
% 178.38/178.21 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_s_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_B_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_C_2))))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_C_2)))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Range__Un__eq,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_finite__Range,axiom,
% 178.38/178.21 ! [V_r_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 178.38/178.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_snd__eq__Range,axiom,
% 178.38/178.21 ! [V_R_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_b,c_Product__Type_Osnd(T_c,T_b)),V_R_2) = hAPP(c_Relation_ORange(T_c,T_b),V_R_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Range__iff,axiom,
% 178.38/178.21 ! [V_r_2,T_c,V_a_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 178.38/178.21 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_y),V_a_2)),V_r_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Range__insert,axiom,
% 178.38/178.21 ! [V_r_2,V_b_2,V_a_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Range__Int__subset,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2)))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Range__Diff__subset,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2))),hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_max__ext__compat,axiom,
% 178.38/178.21 ! [V_S_2,V_R_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_b,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_b,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_min__ext__compat,axiom,
% 178.38/178.21 ! [V_S_2,V_R_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_b,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_b,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omin__ext(T_b,V_R_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_RangeP__Range__eq,axiom,
% 178.38/178.21 ! [V_x_2,V_r_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2))
% 178.38/178.21 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_RangeE,axiom,
% 178.38/178.21 ! [V_r_2,T_c,V_b_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 178.38/178.21 => ~ ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_pred__comp__rel__comp__eq,axiom,
% 178.38/178.21 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d)))),V_s_2)),V_x_2),V_y_2))
% 178.38/178.21 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_pred__comp_Ointros,axiom,
% 178.38/178.21 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_a_2),V_c_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_RangeP_Ointros,axiom,
% 178.38/178.21 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 178.38/178.21 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_pred__comp_Oequations,axiom,
% 178.38/178.21 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_a1_2),V_a3_2))
% 178.38/178.21 <=> ? [B_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 178.38/178.21 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_RangeP_Oequations,axiom,
% 178.38/178.21 ! [V_a2_2,V_r_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2))
% 178.38/178.21 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_reduction__pairI,axiom,
% 178.38/178.21 ! [V_S_2,V_R_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_R_2)
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 178.38/178.21 => c_FunDef_Oreduction__pair(T_b,hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_refl__on__def,axiom,
% 178.38/178.21 ! [V_r_2,V_A_2,T_b] :
% 178.38/178.21 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 178.38/178.21 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 178.38/178.21 & ! [B_x] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Domain__Collect__split,axiom,
% 178.38/178.21 ! [V_Pa_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),V_Pa_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__less__than,axiom,
% 178.38/178.21 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__empty,axiom,
% 178.38/178.21 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__inv__image,axiom,
% 178.38/178.21 ! [V_f_2,T_c,V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_r_2)
% 178.38/178.21 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__lex__prod,axiom,
% 178.38/178.21 ! [V_rb_2,T_c,V_ra_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_ra_2)
% 178.38/178.21 => ( c_Wellfounded_Owf(T_c,V_rb_2)
% 178.38/178.21 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__measure,axiom,
% 178.38/178.21 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_DomainI,axiom,
% 178.38/178.21 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__comp__self,axiom,
% 178.38/178.21 ! [V_R_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_R_2)
% 178.38/178.21 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_min__ext__wf,axiom,
% 178.38/178.21 ! [V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_r_2)
% 178.38/178.21 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__subset,axiom,
% 178.38/178.21 ! [V_p_2,V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_r_2)
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_p_2),V_r_2))
% 178.38/178.21 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__less,axiom,
% 178.38/178.21 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)))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__finite__psubset,axiom,
% 178.38/178.21 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__mlex,axiom,
% 178.38/178.21 ! [V_f_2,V_R_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_R_2)
% 178.38/178.21 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Domain__Id__on,axiom,
% 178.38/178.21 ! [V_A_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = V_A_2 ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__pair__less,axiom,
% 178.38/178.21 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_max__ext__wf,axiom,
% 178.38/178.21 ! [V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_r_2)
% 178.38/178.21 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_refl__on__Id__on,axiom,
% 178.38/178.21 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__Int1,axiom,
% 178.38/178.21 ! [V_r_H_2,V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_r_2)
% 178.38/178.21 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__Int2,axiom,
% 178.38/178.21 ! [V_r_H_2,V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_r_2)
% 178.38/178.21 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_H_2),V_r_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__irrefl,axiom,
% 178.38/178.21 ! [V_a_2,V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_r_2)
% 178.38/178.21 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__asym,axiom,
% 178.38/178.21 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_r_2)
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2))
% 178.38/178.21 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__not__sym,axiom,
% 178.38/178.21 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_r_2)
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2))
% 178.38/178.21 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__not__refl,axiom,
% 178.38/178.21 ! [V_a_2,V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_r_2)
% 178.38/178.21 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__int__ge__less__than,axiom,
% 178.38/178.21 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__int__ge__less__than2,axiom,
% 178.38/178.21 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__Un,axiom,
% 178.38/178.21 ! [V_s_2,V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_r_2)
% 178.38/178.21 => ( c_Wellfounded_Owf(T_b,V_s_2)
% 178.38/178.21 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),V_r_2)),hAPP(c_Relation_ORange(T_b,T_b),V_s_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_acc__wfD,axiom,
% 178.38/178.21 ! [V_x_2,V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_r_2)
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__acc__iff,axiom,
% 178.38/178.21 ! [V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_r_2)
% 178.38/178.21 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__no__loop,axiom,
% 178.38/178.21 ! [V_R_2,T_b] :
% 178.38/178.21 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 178.38/178.21 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__union__merge,axiom,
% 178.38/178.21 ! [V_S_2,V_R_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2))
% 178.38/178.21 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_S_2),V_R_2))),V_S_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Domain__empty__iff,axiom,
% 178.38/178.21 ! [V_r_2,T_c,T_b] :
% 178.38/178.21 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Domain__empty,axiom,
% 178.38/178.21 ! [T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Domain__mono,axiom,
% 178.38/178.21 ! [V_s_2,V_r_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_s_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Domain__Un__eq,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_finite__Domain,axiom,
% 178.38/178.21 ! [V_r_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 178.38/178.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_refl__on__empty,axiom,
% 178.38/178.21 ! [T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_refl__on__Un,axiom,
% 178.38/178.21 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 178.38/178.21 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 178.38/178.21 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 178.38/178.21 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_fst__eq__Domain,axiom,
% 178.38/178.21 ! [V_R_2,T_c,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_b,c_Product__Type_Ofst(T_b,T_c)),V_R_2) = hAPP(c_Relation_ODomain(T_b,T_c),V_R_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_refl__on__Int,axiom,
% 178.38/178.21 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 178.38/178.21 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 178.38/178.21 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 178.38/178.21 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 178.38/178.21 ! [V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_r_2)
% 178.38/178.21 <=> ~ ? [B_f] :
% 178.38/178.21 ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(B_f,hAPP(c_Nat_OSuc,B_i))),hAPP(B_f,B_i))),V_r_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wfE__pf,axiom,
% 178.38/178.21 ! [V_A_2,V_R_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_R_2)
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),V_A_2)))
% 178.38/178.21 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__union__compatible,axiom,
% 178.38/178.21 ! [V_S_2,V_R_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_R_2)
% 178.38/178.21 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 178.38/178.21 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Domain__iff,axiom,
% 178.38/178.21 ! [V_r_2,T_c,V_a_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 178.38/178.21 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),B_y)),V_r_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf,axiom,
% 178.38/178.21 ! [T_b] :
% 178.38/178.21 ( class_Orderings_Owellorder(T_b)
% 178.38/178.21 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless(T_b)))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Domain__insert,axiom,
% 178.38/178.21 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_reduction__pair__def,axiom,
% 178.38/178.21 ! [V_Pa_2,T_b] :
% 178.38/178.21 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 178.38/178.21 <=> ( c_Wellfounded_Owf(T_b,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))
% 178.38/178.21 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_refl__onD,axiom,
% 178.38/178.21 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 178.38/178.21 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_refl__onD2,axiom,
% 178.38/178.21 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 178.38/178.21 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_refl__onD1,axiom,
% 178.38/178.21 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 178.38/178.21 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_reduction__pair__lemma,axiom,
% 178.38/178.21 ! [V_S_2,V_R_2,V_Pa_2,T_b] :
% 178.38/178.21 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)))
% 178.38/178.21 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 178.38/178.21 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Domain__Int__subset,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2)))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Domain__Diff__subset,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2))),hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Field__def,axiom,
% 178.38/178.21 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),V_r_2)),hAPP(c_Relation_ORange(T_b,T_b),V_r_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__map__pair__image,axiom,
% 178.38/178.21 ! [V_f_2,T_c,V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_r_2)
% 178.38/178.21 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.38/178.21 => c_Wellfounded_Owf(T_c,hAPP(c_Set_Oimage(tc_prod(T_b,T_b),tc_prod(T_c,T_c),c_Product__Type_Omap__pair(T_b,T_c,T_b,T_c,V_f_2,V_f_2)),V_r_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Domain__Union,axiom,
% 178.38/178.21 ! [V_S_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Relation_ODomain(T_b,T_c)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_reflp__def,axiom,
% 178.38/178.21 ! [V_r_2,T_b] :
% 178.38/178.21 ( c_Predicate_Oreflp(T_b,V_r_2)
% 178.38/178.21 <=> c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_DomainP__Domain__eq,axiom,
% 178.38/178.21 ! [V_x_2,V_r_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2))
% 178.38/178.21 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__lenlex,axiom,
% 178.38/178.21 ! [V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_r_2)
% 178.38/178.21 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_DomainP_Ointros,axiom,
% 178.38/178.21 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 178.38/178.21 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_reflpE,axiom,
% 178.38/178.21 ! [V_x_2,V_r_2,T_b] :
% 178.38/178.21 ( c_Predicate_Oreflp(T_b,V_r_2)
% 178.38/178.21 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_DomainP_Oequations,axiom,
% 178.38/178.21 ! [V_a1_2,V_r_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2))
% 178.38/178.21 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_pred__nat__def,axiom,
% 178.38/178.21 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))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__lex,axiom,
% 178.38/178.21 ! [V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_r_2)
% 178.38/178.21 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_refl__onI,axiom,
% 178.38/178.21 ! [V_A_2,V_r_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 178.38/178.21 => ( ! [B_x] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) )
% 178.38/178.21 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__pred__nat,axiom,
% 178.38/178.21 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_lex__def,axiom,
% 178.38/178.21 ! [V_r_2,T_b] : c_List_Olex(T_b,V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_List_Olexn(T_b,V_r_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__lexn,axiom,
% 178.38/178.21 ! [V_n_2,V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_r_2)
% 178.38/178.21 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_DomainE,axiom,
% 178.38/178.21 ! [V_r_2,T_c,V_a_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 178.38/178.21 => ~ ! [B_y] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),B_y)),V_r_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_lexn_Osimps_I1_J,axiom,
% 178.38/178.21 ! [V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__same__fst,axiom,
% 178.38/178.21 ! [T_b,V_R_2,T_c,V_Pa_2] :
% 178.38/178.21 ( ! [B_x] :
% 178.38/178.21 ( hBOOL(hAPP(V_Pa_2,B_x))
% 178.38/178.21 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) )
% 178.38/178.21 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__if__measure,axiom,
% 178.38/178.21 ! [T_b,V_g_2,V_f_2,V_Pa_2] :
% 178.38/178.21 ( ! [B_x] :
% 178.38/178.21 ( hBOOL(hAPP(V_Pa_2,B_x))
% 178.38/178.21 => 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))) )
% 178.38/178.21 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),V_g_2))))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wfP__def,axiom,
% 178.38/178.21 ! [V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 178.38/178.21 <=> c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wfP__empty,axiom,
% 178.38/178.21 ! [T_b] : c_Wellfounded_OwfP(T_b,hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_accp__wfPD,axiom,
% 178.38/178.21 ! [V_x_2,V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 178.38/178.21 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wfP__accp__iff,axiom,
% 178.38/178.21 ! [V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 178.38/178.21 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wfP__subset,axiom,
% 178.38/178.21 ! [V_p_2,V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_p_2),V_r_2))
% 178.38/178.21 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__in__rel,axiom,
% 178.38/178.21 ! [V_R_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_R_2)
% 178.38/178.21 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wfP__wf__eq,axiom,
% 178.38/178.21 ! [V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_OwfP(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2))
% 178.38/178.21 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wfP__acyclicP,axiom,
% 178.38/178.21 ! [V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 178.38/178.21 => c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_the__eq__trivial,axiom,
% 178.38/178.21 ! [V_a_2,T_b] : c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = V_a_2 ).
% 178.38/178.21
% 178.38/178.21 fof(fact_the__sym__eq__trivial,axiom,
% 178.38/178.21 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 178.38/178.21
% 178.38/178.21 fof(fact_acyclic__subset,axiom,
% 178.38/178.21 ! [V_r_2,V_s_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Oacyclic(T_b,V_s_2)
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 178.38/178.21 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__acyclic,axiom,
% 178.38/178.21 ! [V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_r_2)
% 178.38/178.21 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_finite__acyclic__wf,axiom,
% 178.38/178.21 ! [V_r_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 178.38/178.21 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 178.38/178.21 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 178.38/178.21 ! [V_r_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 178.38/178.21 => ( c_Wellfounded_Owf(T_b,V_r_2)
% 178.38/178.21 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Nitpick_Owf_H__def,axiom,
% 178.38/178.21 ! [V_r_2,T_b] :
% 178.38/178.21 ( c_Nitpick_Owf_H(T_b,V_r_2)
% 178.38/178.21 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 178.38/178.21 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 178.38/178.21 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_pigeonhole__infinite,axiom,
% 178.38/178.21 ! [V_f_2,T_c,V_A_2,T_b] :
% 178.38/178.21 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 178.38/178.21 => ? [B_x] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.38/178.21 & ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),hAPP(V_f_2,B_x)))))) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_refl__on__def_H,axiom,
% 178.38/178.21 ! [V_r_2,V_A_2,T_b] :
% 178.38/178.21 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 178.38/178.21 <=> ( ! [B_x] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),B_x)) )
% 178.38/178.21 & ! [B_x] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Powp__def,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2))
% 178.38/178.21 <=> ! [B_x] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 178.38/178.21 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_INFI__bool__eq,axiom,
% 178.38/178.21 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_ball__empty,axiom,
% 178.38/178.21 ! [V_Pa_2,T_b,B_x] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 178.38/178.21 => hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Collect__ball__eq,axiom,
% 178.38/178.21 ! [V_Pa_2,V_A_2,T_c,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),V_Pa_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_Pa_2))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_congruent__def,axiom,
% 178.38/178.21 ! [V_f_2,V_r_2,T_c,T_b] :
% 178.38/178.21 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 178.38/178.21 <=> ! [B_x] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2))),V_f_2)),B_x)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_INTER__def,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_member(T_b))),V_B_2)))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Inf__Sup,axiom,
% 178.38/178.21 ! [V_A_2,T_b] :
% 178.38/178.21 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.38/178.21 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),c_Orderings_Oord__class_Oless__eq(T_b))))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Sup__Inf,axiom,
% 178.38/178.21 ! [V_A_2,T_b] :
% 178.38/178.21 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.38/178.21 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b)))))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Abs__Integ__induct,axiom,
% 178.38/178.21 ! [V_x_2,V_Pa_2] :
% 178.38/178.21 ( ! [B_y] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 178.38/178.21 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 178.38/178.21 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Abs__Integ__cases,axiom,
% 178.38/178.21 ! [V_x_2] :
% 178.38/178.21 ~ ! [B_y] :
% 178.38/178.21 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 178.38/178.21 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_finite__UN__I,axiom,
% 178.38/178.21 ! [V_B_2,T_c,V_A_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( ! [B_a] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 178.38/178.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 178.38/178.21 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Inter__eq,axiom,
% 178.38/178.21 ! [V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fimplies),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))),c_member(T_b)))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_inj__on__diff__nat,axiom,
% 178.38/178.21 ! [V_k_2,V_N_2] :
% 178.38/178.21 ( ! [B_x] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 178.38/178.21 => 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) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wfP__SUP,axiom,
% 178.38/178.21 ! [T_b,V_r_2,T_c] :
% 178.38/178.21 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i))
% 178.38/178.21 => ( ! [B_i,B_j] :
% 178.38/178.21 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 178.38/178.21 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_Predicate_ODomainP(T_c,T_c,hAPP(V_r_2,B_i))),c_Predicate_ORangeP(T_c,T_c,hAPP(V_r_2,B_j))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 178.38/178.21 => c_Wellfounded_OwfP(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_mem__splitI2,axiom,
% 178.38/178.21 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] :
% 178.38/178.21 ( ! [B_a,B_b] :
% 178.38/178.21 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) )
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_c_2),V_p_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_mem__splitE,axiom,
% 178.38/178.21 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_c_2),V_p_2)))
% 178.38/178.21 => ~ ! [B_x,B_y] :
% 178.38/178.21 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)
% 178.38/178.21 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_vimage__Times,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,tc_prod(T_c,T_d),V_f_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_c,T_b,c_Product__Type_Ofst(T_c,T_d)),V_f_2)),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_d,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_d,T_b,c_Product__Type_Osnd(T_c,T_d)),V_f_2)),V_B_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Eps__split,axiom,
% 178.38/178.21 ! [V_Pa_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2)) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_exE__some,axiom,
% 178.38/178.21 ! [T_b,V_c_2,V_Pa_2] :
% 178.38/178.21 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 178.38/178.21 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_Pa_2)
% 178.38/178.21 => hBOOL(hAPP(V_Pa_2,V_c_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_inj__on__imageI,axiom,
% 178.38/178.21 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] :
% 178.38/178.21 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2),V_A_2)
% 178.38/178.21 => c_Fun_Oinj__on(T_d,T_c,V_g_2,hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_A_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_comp__inj__on,axiom,
% 178.38/178.21 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.21 => ( c_Fun_Oinj__on(T_c,T_d,V_g_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))
% 178.38/178.21 => c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_comp__inj__on__iff,axiom,
% 178.38/178.21 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.21 => ( c_Fun_Oinj__on(T_c,T_d,V_f_H_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))
% 178.38/178.21 <=> c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_inj__comp,axiom,
% 178.38/178.21 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.38/178.21 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 178.38/178.21 => c_Fun_Oinj__on(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_inj__on__imageI2,axiom,
% 178.38/178.21 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] :
% 178.38/178.21 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_H_2),V_f_2),V_A_2)
% 178.38/178.21 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_comp__surj,axiom,
% 178.38/178.21 ! [V_g_2,T_d,V_f_2,T_b,T_c] :
% 178.38/178.21 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 => ( hAPP(c_Set_Oimage(T_b,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))
% 178.38/178.21 => hAPP(c_Set_Oimage(T_c,T_d,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_image__compose,axiom,
% 178.38/178.21 ! [V_r_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_b,T_c,V_f_2),V_g_2)),V_r_2) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),V_r_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_vimage__compose,axiom,
% 178.38/178.21 ! [V_x_2,V_f_2,V_g_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2)),V_x_2) = hAPP(c_Set_Ovimage(T_b,T_d,V_f_2),hAPP(c_Set_Ovimage(T_d,T_c,V_g_2),V_x_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_fun__upd__comp,axiom,
% 178.38/178.21 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),c_Fun_Ofun__upd(T_b,T_d,V_g_2,V_x_2,V_y_2)) = c_Fun_Ofun__upd(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2),V_x_2,hAPP(V_f_2,V_y_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_someI__ex,axiom,
% 178.38/178.21 ! [T_b,V_Pa_2] :
% 178.38/178.21 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 178.38/178.21 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_some__eq__ex,axiom,
% 178.38/178.21 ! [T_b,V_Pa_2] :
% 178.38/178.21 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2)))
% 178.38/178.21 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_some__eq__trivial,axiom,
% 178.38/178.21 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)) = V_x_2 ).
% 178.38/178.21
% 178.38/178.21 fof(fact_some__sym__eq__trivial,axiom,
% 178.38/178.21 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 178.38/178.21
% 178.38/178.21 fof(fact_K__record__comp,axiom,
% 178.38/178.21 ! [V_x_2,V_f_2,V_c_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_f_2),V_x_2) = V_c_2 ).
% 178.38/178.21
% 178.38/178.21 fof(fact_someI,axiom,
% 178.38/178.21 ! [T_b,V_x_2,V_Pa_2] :
% 178.38/178.21 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 178.38/178.21 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_tfl__some,axiom,
% 178.38/178.21 ! [T_b,B_P] :
% 178.38/178.21 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 178.38/178.21 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_comp__cong,axiom,
% 178.38/178.21 ! [T_f,T_e,T_d,T_b,T_c,V_x_H_2,V_g_H_2,V_f_H_2,V_x_2,V_g_2,V_f_2] :
% 178.38/178.21 ( 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))
% 178.38/178.21 => hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_e,T_b,T_f,V_f_H_2),V_g_H_2),V_x_H_2) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 178.38/178.21 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 178.38/178.21 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 178.38/178.21 ! [V_x_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 178.38/178.21 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_o__eq__dest__lhs,axiom,
% 178.38/178.21 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 178.38/178.21 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2
% 178.38/178.21 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_apsnd__compose,axiom,
% 178.38/178.21 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_d,T_b,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_x_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_apfst__compose,axiom,
% 178.38/178.21 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_d,T_c,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_e,V_f_2),V_g_2)),V_x_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_o__eq__elim,axiom,
% 178.38/178.21 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 178.38/178.21 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_c_2),V_d_2)
% 178.38/178.21 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_o__eq__dest,axiom,
% 178.38/178.21 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 178.38/178.21 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_c_2),V_d_2)
% 178.38/178.21 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_o__apply,axiom,
% 178.38/178.21 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_o__assoc,axiom,
% 178.38/178.21 ! [V_h_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),hAPP(c_Fun_Ocomp(T_e,T_d,T_b,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_h_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_o__def,axiom,
% 178.38/178.21 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_map__pair_Ocomp,axiom,
% 178.38/178.21 ! [V_i_2,V_h_2,V_g_2,V_f_2,T_c,T_b,T_e,T_d,T_g,T_f] : hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f_2,V_g_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_h_2,V_i_2)) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g_2),V_i_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_map__pair__compose,axiom,
% 178.38/178.21 ! [V_g2_2,V_g1_2,T_g,V_f2_2,V_f1_2,T_f,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f1_2),V_f2_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g1_2),V_g2_2)) = hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f1_2,V_g1_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_f2_2,V_g2_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_map__pair_Ocompositionality,axiom,
% 178.38/178.21 ! [V_prod_2,V_i_2,V_h_2,T_g,T_f,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_h_2,V_i_2),V_prod_2)) = hAPP(c_Product__Type_Omap__pair(T_f,T_b,T_g,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_f,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_e,T_c,T_g,V_g_2),V_i_2)),V_prod_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_o__eq__id__dest,axiom,
% 178.38/178.21 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 178.38/178.21 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_c_2)
% 178.38/178.21 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_o__id,axiom,
% 178.38/178.21 ! [V_f_2,T_c,T_b] : hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_f_2),c_Fun_Oid(T_b)) = V_f_2 ).
% 178.38/178.21
% 178.38/178.21 fof(fact_id__o,axiom,
% 178.38/178.21 ! [V_g_2,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_g_2) = V_g_2 ).
% 178.38/178.21
% 178.38/178.21 fof(fact_setsum__reindex,axiom,
% 178.38/178.21 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 178.38/178.21 ( class_Groups_Ocomm__monoid__add(T_d)
% 178.38/178.21 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 178.38/178.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_setprod__reindex__cong,axiom,
% 178.38/178.21 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 178.38/178.21 ( class_Groups_Ocomm__monoid__mult(T_d)
% 178.38/178.21 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.21 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 178.38/178.21 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)
% 178.38/178.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_setprod__reindex,axiom,
% 178.38/178.21 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 178.38/178.21 ( class_Groups_Ocomm__monoid__mult(T_d)
% 178.38/178.21 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 178.38/178.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Eps__split__eq,axiom,
% 178.38/178.21 ! [V_y_2,V_x_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_split__paired__Eps,axiom,
% 178.38/178.21 ! [V_Pa_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),V_Pa_2) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_setsum_Oreindex,axiom,
% 178.38/178.21 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 178.38/178.21 ( class_Groups_Ocomm__monoid__add(T_c)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 178.38/178.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_setprod_Oreindex,axiom,
% 178.38/178.21 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 178.38/178.21 ( class_Groups_Ocomm__monoid__mult(T_c)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 178.38/178.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_the__inv__into__comp,axiom,
% 178.38/178.21 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))
% 178.38/178.21 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))))
% 178.38/178.21 => hAPP(c_Fun_Othe__inv__into(T_d,T_c,V_A_2,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Fun_Othe__inv__into(T_d,T_b,V_A_2,V_g_2)),c_Fun_Othe__inv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_fold__image__reindex,axiom,
% 178.38/178.21 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] :
% 178.38/178.21 ( class_Groups_Oab__semigroup__mult(T_d)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2)
% 178.38/178.21 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),V_z_2),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_h_2)),V_z_2),V_A_2) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_folding_Oremove,axiom,
% 178.38/178.21 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.21 => hAPP(V_F_2,V_A_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_folding__image_Oreindex,axiom,
% 178.38/178.21 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 178.38/178.21 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2)
% 178.38/178.21 => hAPP(hAPP(V_F_2,V_g_2),hAPP(c_Set_Oimage(T_c,T_c,V_h_2),V_A_2)) = hAPP(hAPP(V_F_2,hAPP(c_Fun_Ocomp(T_c,T_b,T_c,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_folding_Ounion,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 178.38/178.21 => ( 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))
% 178.38/178.21 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_folding_Ocommute__left__comp,axiom,
% 178.38/178.21 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 178.38/178.21 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),V_g_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_folding_Ocommute__comp,axiom,
% 178.38/178.21 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 178.38/178.21 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 178.38/178.21 ! [V_h_2,V_g_2,T_g,V_f_2,T_d,T_e,T_f,V_F_2,V_fa_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2)
% 178.38/178.21 => hAPP(c_Fun_Ocomp(T_f,T_e,T_d,V_f_2),hAPP(c_Fun_Ocomp(T_g,T_f,T_d,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_g,T_e,T_d,hAPP(c_Fun_Ocomp(T_f,T_e,T_g,V_f_2),V_g_2)),V_h_2) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_snd__comp__map__pair,axiom,
% 178.38/178.21 ! [V_g_2,V_f_2,T_c,T_b,T_d,T_e] : hAPP(c_Fun_Ocomp(tc_prod(T_e,T_d),T_d,tc_prod(T_b,T_c),c_Product__Type_Osnd(T_e,T_d)),c_Product__Type_Omap__pair(T_b,T_e,T_c,T_d,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_d,tc_prod(T_b,T_c),V_g_2),c_Product__Type_Osnd(T_b,T_c)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_fst__comp__map__pair,axiom,
% 178.38/178.21 ! [V_g_2,V_f_2,T_c,T_b,T_e,T_d] : hAPP(c_Fun_Ocomp(tc_prod(T_d,T_e),T_d,tc_prod(T_b,T_c),c_Product__Type_Ofst(T_d,T_e)),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,tc_prod(T_b,T_c),V_f_2),c_Product__Type_Ofst(T_b,T_c)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_UN__o,axiom,
% 178.38/178.21 ! [V_f_2,V_g_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Fun_Ocomp(T_d,tc_fun(T_b,tc_HOL_Obool),T_c,V_g_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_g_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_folding__image_Odistrib,axiom,
% 178.38/178.21 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 178.38/178.21 => hAPP(hAPP(V_F_2,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(V_f_2,hAPP(hAPP(V_F_2,V_g_2),V_A_2)),hAPP(hAPP(V_F_2,V_h_2),V_A_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_split__comp,axiom,
% 178.38/178.21 ! [V_x_2,V_g_2,V_f_2,T_e,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),hAPP(c_Fun_Ocomp(T_e,tc_fun(T_d,T_b),T_c,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2))),hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_folding_Ocommute__comp_H,axiom,
% 178.38/178.21 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 178.38/178.21 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 178.38/178.21 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 178.38/178.21 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 178.38/178.21 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),V_g_2)) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_folding_Oempty,axiom,
% 178.38/178.21 ! [V_F_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 178.38/178.21 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_folding_Oeq__fold,axiom,
% 178.38/178.21 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => hAPP(hAPP(V_F_2,V_A_2),V_s_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_s_2),V_A_2) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_folding__image_Oeq__fold,axiom,
% 178.38/178.21 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 178.38/178.21 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_folding_Oinsert,axiom,
% 178.38/178.21 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.21 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_folding_Ounion__inter,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 178.38/178.21 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_folding_Oinsert__remove,axiom,
% 178.38/178.21 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Loop__sound__lemma,axiom,
% 178.38/178.21 ! [V_c_2,V_b_2,V_Pa_2,V_Ga_2,T_b] :
% 178.38/178.21 ( c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_b_2)),V_c_2),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 178.38/178.21 => c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OWhile(V_b_2,V_c_2)),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_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_b),tc_HOL_Obool)))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_hoare__derivs_OIf,axiom,
% 178.38/178.21 ! [V_d_2,V_Qa_2,V_c_2,V_b_2,V_Pa_2,V_Ga_2,T_b] :
% 178.38/178.21 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_b_2)),V_c_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 178.38/178.21 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2))),V_d_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 178.38/178.21 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OCond(V_b_2,V_c_2,V_d_2)),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Loop,axiom,
% 178.38/178.21 ! [V_c_2,V_b_2,V_Pa_2,V_Ga_2,T_b] :
% 178.38/178.21 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_b_2)),V_c_2),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 178.38/178.21 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OWhile(V_b_2,V_c_2)),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_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_b),tc_HOL_Obool)))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_peek__and__def,axiom,
% 178.38/178.21 ! [V_s_2,V_Z_2,V_p_2,V_Pa_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_p_2),V_Z_2),V_s_2))
% 178.38/178.21 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_Z_2),V_s_2))
% 178.38/178.21 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_setsum__reindex__nonzero,axiom,
% 178.38/178.21 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] :
% 178.38/178.21 ( class_Groups_Ocomm__monoid__add(T_d)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 178.38/178.21 => ( ! [B_x] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 178.38/178.21 => ! [B_y] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2))
% 178.38/178.21 => ( B_x != B_y
% 178.38/178.21 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 178.38/178.21 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) )
% 178.38/178.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_S_2) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_folding__idem_Ounion__idem,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 178.38/178.21 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 178.38/178.21 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_folding__idem_Oidem__comp,axiom,
% 178.38/178.21 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 178.38/178.21 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 178.38/178.21 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 178.38/178.21 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 178.38/178.21 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.21 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_folding__idem_Oinsert__idem,axiom,
% 178.38/178.21 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 178.38/178.21 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_strong__setprod__reindex__cong,axiom,
% 178.38/178.21 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 178.38/178.21 ( class_Groups_Ocomm__monoid__mult(T_d)
% 178.38/178.21 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.21 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 178.38/178.21 => ( ! [B_x] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.38/178.21 => hAPP(V_g_2,B_x) = hAPP(hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2),B_x) )
% 178.38/178.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wfI__pf,axiom,
% 178.38/178.21 ! [V_R_2,T_b] :
% 178.38/178.21 ( ! [B_A] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),B_A)))
% 178.38/178.21 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 178.38/178.21 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Sigma__mono,axiom,
% 178.38/178.21 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 178.38/178.21 => ( ! [B_x] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,B_x)),hAPP(V_D_2,B_x))) )
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_C_2),V_D_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_not__acc__down,axiom,
% 178.38/178.21 ! [V_R_2,V_x_2,T_b] :
% 178.38/178.21 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2)))
% 178.38/178.21 => ~ ! [B_z] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_x_2)),V_R_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_acc_OaccI,axiom,
% 178.38/178.21 ! [V_r_2,V_x_2,T_b] :
% 178.38/178.21 ( ! [B_y] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_x_2)),V_r_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) )
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_max__ext_Osimps,axiom,
% 178.38/178.21 ! [V_R_2,V_a2_2,V_a1_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_a1_2),V_a2_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 178.38/178.21 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 178.38/178.21 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 178.38/178.21 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.38/178.21 & ! [B_x] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 178.38/178.21 => ? [B_xa] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 178.38/178.21 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 178.38/178.21 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 178.38/178.21 ( class_Orderings_Olinorder(T_b)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( ! [B_x] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_c_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_b_2),V_c_2))) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Max__eqI,axiom,
% 178.38/178.21 ! [V_x_2,V_A_2,T_b] :
% 178.38/178.21 ( class_Orderings_Olinorder(T_b)
% 178.38/178.21 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.38/178.21 => ( ! [B_y] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) )
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.38/178.21 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__no__infinite__down__chainE,axiom,
% 178.38/178.21 ! [V_f_2,V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_r_2)
% 178.38/178.21 => ~ ! [B_k] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_k))),hAPP(V_f_2,B_k))),V_r_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_iterate_Osimps,axiom,
% 178.38/178.21 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 178.38/178.21 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 178.38/178.21 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2) )
% 178.38/178.21 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 178.38/178.21 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_b,tc_prod(T_c,T_b)),hAPP(V_f_2,V_x_2)),c_Random_Oiterate(T_c,T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_f_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_scomp__scomp,axiom,
% 178.38/178.21 ! [V_h_2,V_g_2,V_f_2,T_g,T_f,T_c,T_e,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_e,T_c),hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,tc_prod(T_d,T_e)),V_f_2),V_g_2)),V_h_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,T_c),V_f_2),hAPP(hAPP(c_COMBC(T_f,tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_g,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),T_f),c_Product__Type_Oscomp(T_g,T_d,T_e,T_c)),V_g_2)),V_h_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_scomp__Pair,axiom,
% 178.38/178.21 ! [V_x_2,T_d,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,tc_prod(T_c,T_d)),V_x_2),c_Product__Type_OPair(T_c,T_d)) = V_x_2 ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Pair__scomp,axiom,
% 178.38/178.21 ! [V_f_2,V_x_2,T_c,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_b,T_c),hAPP(c_Product__Type_OPair(T_d,T_b),V_x_2)),V_f_2) = hAPP(V_f_2,V_x_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_scomp__apply,axiom,
% 178.38/178.21 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_scomp__def,axiom,
% 178.38/178.21 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_scomp__unfold,axiom,
% 178.38/178.21 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_e),hAPP(V_f_2,V_x_2))),hAPP(c_Product__Type_Osnd(T_d,T_e),hAPP(V_f_2,V_x_2))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_setsum__reindex__cong,axiom,
% 178.38/178.21 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 178.38/178.21 ( class_Groups_Ocomm__monoid__add(T_d)
% 178.38/178.21 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.38/178.21 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 178.38/178.21 => ( ! [B_a] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 178.38/178.21 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 178.38/178.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_setsum__ivl__cong,axiom,
% 178.38/178.21 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] :
% 178.38/178.21 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 178.38/178.21 & class_Orderings_Oord(T_b) )
% 178.38/178.21 => ( V_a_2 = V_c_2
% 178.38/178.21 => ( V_b_2 = V_d_2
% 178.38/178.21 => ( ! [B_x] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2))
% 178.38/178.21 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 178.38/178.21 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)) ) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_less__eq,axiom,
% 178.38/178.21 ! [V_n_2,V_m_2] :
% 178.38/178.21 ( 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)))
% 178.38/178.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__eq__minimal,axiom,
% 178.38/178.21 ! [V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_r_2)
% 178.38/178.21 <=> ! [B_Q] :
% 178.38/178.21 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 178.38/178.21 => ? [B_x] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 178.38/178.21 & ! [B_y] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2))
% 178.38/178.21 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__trancl,axiom,
% 178.38/178.21 ! [V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,V_r_2)
% 178.38/178.21 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_less__than__def,axiom,
% 178.38/178.21 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_acyclic__def,axiom,
% 178.38/178.21 ! [V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 178.38/178.21 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_trancl_Or__into__trancl,axiom,
% 178.38/178.21 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_trancl__subset__Field2,axiom,
% 178.38/178.21 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_Relation_OField(T_b),V_r_2))))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_r__into__trancl_H,axiom,
% 178.38/178.21 ! [V_r_2,V_p_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_trancl__empty,axiom,
% 178.38/178.21 ! [T_b] : c_Transitive__Closure_Otrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_trancl__domain,axiom,
% 178.38/178.21 ! [V_r_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_trancl__range,axiom,
% 178.38/178.21 ! [V_r_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ORange(T_b,T_b),V_r_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_finite__trancl,axiom,
% 178.38/178.21 ! [V_r_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 178.38/178.21 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_r__r__into__trancl,axiom,
% 178.38/178.21 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_R_2))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_R_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_trancl__into__trancl2,axiom,
% 178.38/178.21 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 178.38/178.21 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_trancl__trans,axiom,
% 178.38/178.21 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_trancl__mono,axiom,
% 178.38/178.21 ! [V_s_2,V_r_2,V_p_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_trancl__unfold,axiom,
% 178.38/178.21 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_r_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_trancl__subset__Sigma,axiom,
% 178.38/178.21 ! [V_A_2,V_r_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_trancl__Int__subset,axiom,
% 178.38/178.21 ! [V_s_2,V_r_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_trancl__insert,axiom,
% 178.38/178.21 ! [V_r_2,V_x_2,V_y_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBC(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),V_y_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_reflcl__set__eq,axiom,
% 178.38/178.21 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),c_fequal),V_x_2),V_y_2))
% 178.38/178.21 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_r__into__rtrancl,axiom,
% 178.38/178.21 ! [V_r_2,V_p_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 178.38/178.21 ! [V_r_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_IdI,axiom,
% 178.38/178.21 ! [V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Relation_OId(T_b))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_trancl__into__rtrancl,axiom,
% 178.38/178.21 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtrancl__trancl__absorb,axiom,
% 178.38/178.21 ! [V_R_2,T_b] : c_Transitive__Closure_Otrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_trancl__rtrancl__absorb,axiom,
% 178.38/178.21 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Otrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_reflcl__trancl,axiom,
% 178.38/178.21 ! [V_r_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_trancl__reflcl,axiom,
% 178.38/178.21 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_trancl__unfold__left,axiom,
% 178.38/178.21 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_trancl__unfold__right,axiom,
% 178.38/178.21 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtrancl__idemp__self__comp,axiom,
% 178.38/178.21 ! [V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_r__comp__rtrancl__eq,axiom,
% 178.38/178.21 ! [V_r_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtrancl__unfold,axiom,
% 178.38/178.21 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtrancl__Int__subset,axiom,
% 178.38/178.21 ! [V_r_2,V_s_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),V_s_2))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_in__rtrancl__UnI,axiom,
% 178.38/178.21 ! [V_S_2,V_R_2,V_x_2,T_b] :
% 178.38/178.21 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 178.38/178.21 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) )
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Image__closed__trancl,axiom,
% 178.38/178.21 ! [V_X_2,V_r_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),V_X_2)),V_X_2))
% 178.38/178.21 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtrancl__Un__subset,axiom,
% 178.38/178.21 ! [V_S_2,V_R_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtrancl__reflcl,axiom,
% 178.38/178.21 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtrancl__Un__rtrancl,axiom,
% 178.38/178.21 ! [V_S_2,V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) = c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtrancl__reflcl__absorb,axiom,
% 178.38/178.21 ! [V_R_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtrancl__subset__rtrancl,axiom,
% 178.38/178.21 ! [V_s_2,V_r_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_s_2)))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtrancl__subset,axiom,
% 178.38/178.21 ! [V_S_2,V_R_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 178.38/178.21 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtrancl__mono,axiom,
% 178.38/178.21 ! [V_s_2,V_r_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtrancl__idemp,axiom,
% 178.38/178.21 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 178.38/178.21 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 178.38/178.21 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtrancl__trans,axiom,
% 178.38/178.21 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtrancl__r__diff__Id,axiom,
% 178.38/178.21 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Range__rtrancl,axiom,
% 178.38/178.21 ! [V_R_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Domain__rtrancl,axiom,
% 178.38/178.21 ! [V_R_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_refl__rtrancl,axiom,
% 178.38/178.21 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtrancl__empty,axiom,
% 178.38/178.21 ! [T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Relation_OId(T_b) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Image__Id,axiom,
% 178.38/178.21 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ).
% 178.38/178.21
% 178.38/178.21 fof(fact_R__O__Id,axiom,
% 178.38/178.21 ! [V_R_2,T_c,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_c),V_R_2),c_Relation_OId(T_c)) = V_R_2 ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Id__O__R,axiom,
% 178.38/178.21 ! [V_R_2,T_c,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_c),c_Relation_OId(T_b)),V_R_2) = V_R_2 ).
% 178.38/178.21
% 178.38/178.21 fof(fact_pair__in__Id__conv,axiom,
% 178.38/178.21 ! [V_b_2,V_a_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Relation_OId(T_b)))
% 178.38/178.21 <=> V_a_2 = V_b_2 ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtrancl__eq__or__trancl,axiom,
% 178.38/178.21 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 178.38/178.21 <=> ( V_x_2 = V_y_2
% 178.38/178.21 | ( V_x_2 != V_y_2
% 178.38/178.21 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtrancl__into__trancl2,axiom,
% 178.38/178.21 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtranclD,axiom,
% 178.38/178.21 ! [V_R_2,V_b_2,V_a_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 178.38/178.21 => ( V_a_2 = V_b_2
% 178.38/178.21 | ( V_a_2 != V_b_2
% 178.38/178.21 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtrancl__into__trancl1,axiom,
% 178.38/178.21 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_trancl__rtrancl__trancl,axiom,
% 178.38/178.21 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtrancl__trancl__trancl,axiom,
% 178.38/178.21 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Domain__Id,axiom,
% 178.38/178.21 ! [T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Relation_OId(T_b)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Range__Id,axiom,
% 178.38/178.21 ! [T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Relation_OId(T_b)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_refl__Id,axiom,
% 178.38/178.21 ! [T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Relation_OId(T_b)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_pair__leq__def,axiom,
% 178.38/178.21 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))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Not__Domain__rtrancl,axiom,
% 178.38/178.21 ! [V_y_2,V_R_2,V_x_2,T_b] :
% 178.38/178.21 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2)))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 178.38/178.21 <=> V_x_2 = V_y_2 ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_acc__downwards__aux,axiom,
% 178.38/178.21 ! [V_r_2,V_a_2,V_b_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_acc__downwards,axiom,
% 178.38/178.21 ! [V_b_2,V_r_2,V_a_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__insert,axiom,
% 178.38/178.21 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2))
% 178.38/178.21 <=> ( c_Wellfounded_Owf(T_b,V_r_2)
% 178.38/178.21 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_acyclic__insert,axiom,
% 178.38/178.21 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Oacyclic(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2))
% 178.38/178.21 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 178.38/178.21 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_refl__reflcl,axiom,
% 178.38/178.21 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Id__def,axiom,
% 178.38/178.21 ! [T_b] : c_Relation_OId(T_b) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_b),tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_HOL_Obool)),tc_prod(T_b,T_b)),c_COMBB(tc_prod(T_b,T_b),tc_HOL_Obool,T_b)),c_fequal)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_irrefl__diff__Id,axiom,
% 178.38/178.21 ! [V_r_2,T_b] : c_Relation_Oirrefl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_pred__nat__trancl__eq__le,axiom,
% 178.38/178.21 ! [V_n_2,V_m_2] :
% 178.38/178.21 ( 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)))
% 178.38/178.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_trancl__subset__Sigma__aux,axiom,
% 178.38/178.21 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 178.38/178.21 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 178.38/178.21 => ( V_a_2 = V_b_2
% 178.38/178.21 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_irrefl__tranclI,axiom,
% 178.38/178.21 ! [V_x_2,V_r_2,T_b] :
% 178.38/178.21 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 178.38/178.21 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_sequence__trans,axiom,
% 178.38/178.21 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] :
% 178.38/178.21 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2))),hAPP(V_f_2,V_i_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtrancl__converse,axiom,
% 178.38/178.21 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_converse__Id,axiom,
% 178.38/178.21 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_converse__INTER,axiom,
% 178.38/178.21 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_acyclic__converse,axiom,
% 178.38/178.21 ! [V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 178.38/178.21 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_converse__UNION,axiom,
% 178.38/178.21 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_converse__iff,axiom,
% 178.38/178.21 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 178.38/178.21 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),V_r_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_converseI,axiom,
% 178.38/178.21 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_converseD,axiom,
% 178.38/178.21 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),V_r_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_converse__rel__comp,axiom,
% 178.38/178.21 ! [V_s_2,V_r_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_d,T_b),V_r_2),V_s_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(c_Relation_Oconverse(T_d,T_b),V_s_2)),hAPP(c_Relation_Oconverse(T_c,T_d),V_r_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_converse__Un,axiom,
% 178.38/178.21 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_converse__Id__on,axiom,
% 178.38/178.21 ! [V_A_2,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = c_Relation_OId__on(T_b,V_A_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_converse__converse,axiom,
% 178.38/178.21 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = V_r_2 ).
% 178.38/178.21
% 178.38/178.21 fof(fact_finite__converse,axiom,
% 178.38/178.21 ! [V_r_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 178.38/178.21 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Field__converse,axiom,
% 178.38/178.21 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_OField(T_b),V_r_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_converse__inv__image,axiom,
% 178.38/178.21 ! [V_f_2,V_R_2,T_c,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_R_2),V_f_2)) = hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),hAPP(c_Relation_Oconverse(T_c,T_c),V_R_2)),V_f_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_converse__Int,axiom,
% 178.38/178.21 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_refl__on__converse,axiom,
% 178.38/178.21 ! [V_r_2,V_A_2,T_b] :
% 178.38/178.21 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 178.38/178.21 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_trancl__converse,axiom,
% 178.38/178.21 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_wf__converse__trancl,axiom,
% 178.38/178.21 ! [V_r_2,T_b] :
% 178.38/178.21 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 178.38/178.21 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_equiv__comp__eq,axiom,
% 178.38/178.21 ! [V_r_2,V_A_2,T_b] :
% 178.38/178.21 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 178.38/178.21 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2 ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Range__def,axiom,
% 178.38/178.21 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Domain__converse,axiom,
% 178.38/178.21 ! [V_r_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) = hAPP(c_Relation_ORange(T_c,T_b),V_r_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Range__converse,axiom,
% 178.38/178.21 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtrancl__converseD,axiom,
% 178.38/178.21 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_rtrancl__converseI,axiom,
% 178.38/178.21 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_trancl__converseD,axiom,
% 178.38/178.21 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_trancl__converseI,axiom,
% 178.38/178.21 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))))
% 178.38/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_Image__subset__eq,axiom,
% 178.38/178.21 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 178.38/178.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)),V_B_2))
% 178.38/178.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))))) ) ).
% 178.38/178.21
% 178.38/178.21 fof(fact_refl__on__comp__subset,axiom,
% 178.46/178.21 ! [V_r_2,V_A_2,T_b] :
% 178.46/178.21 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 178.46/178.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2))) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_comp__equivI,axiom,
% 178.46/178.21 ! [V_A_2,V_r_2,T_b] :
% 178.46/178.21 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2
% 178.46/178.21 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2
% 178.46/178.21 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_finite__acyclic__wf__converse,axiom,
% 178.46/178.21 ! [V_r_2,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 178.46/178.21 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 178.46/178.21 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_converse__def,axiom,
% 178.46/178.21 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_b)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_c,T_b)))),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))))),V_r_2))) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_Image__INT__eq,axiom,
% 178.46/178.21 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] :
% 178.46/178.21 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))
% 178.46/178.21 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 178.46/178.21 => hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_total__on__diff__Id,axiom,
% 178.46/178.21 ! [V_r_2,V_A_2,T_b] :
% 178.46/178.21 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))
% 178.46/178.21 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_single__valued__Id,axiom,
% 178.46/178.21 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_single__valued__subset,axiom,
% 178.46/178.21 ! [V_s_2,V_r_2,T_c,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 178.46/178.21 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 178.46/178.21 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_single__valued__rel__comp,axiom,
% 178.46/178.21 ! [V_s_2,T_d,V_r_2,T_c,T_b] :
% 178.46/178.21 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 178.46/178.21 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2)
% 178.46/178.21 => c_Relation_Osingle__valued(T_b,T_d,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_single__valued__Id__on,axiom,
% 178.46/178.21 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_total__on__empty,axiom,
% 178.46/178.21 ! [V_r_2,T_b] : c_Relation_Ototal__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_r_2) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_total__on__converse,axiom,
% 178.46/178.21 ! [V_r_2,V_A_2,T_b] :
% 178.46/178.21 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 178.46/178.21 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_single__valuedD,axiom,
% 178.46/178.21 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 178.46/178.21 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 178.46/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_r_2))
% 178.46/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_z_2)),V_r_2))
% 178.46/178.21 => V_y_2 = V_z_2 ) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_single__valued__def,axiom,
% 178.46/178.21 ! [V_r_2,T_c,T_b] :
% 178.46/178.21 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 178.46/178.21 <=> ! [B_x,B_y] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y)),V_r_2))
% 178.46/178.21 => ! [B_z] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)),V_r_2))
% 178.46/178.21 => B_y = B_z ) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_total__on__def,axiom,
% 178.46/178.21 ! [V_r_2,V_A_2,T_b] :
% 178.46/178.21 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2)
% 178.46/178.21 <=> ! [B_x] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.46/178.21 => ! [B_xa] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 178.46/178.21 => ( B_x != B_xa
% 178.46/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_r_2))
% 178.46/178.21 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_xa),B_x)),V_r_2)) ) ) ) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_single__valued__confluent,axiom,
% 178.46/178.21 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 178.46/178.21 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2)
% 178.46/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 178.46/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 178.46/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 178.46/178.21 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_z_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_Image__Int__eq,axiom,
% 178.46/178.21 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] :
% 178.46/178.21 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2))
% 178.46/178.21 => hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 178.46/178.21 ! [V_R_2,V_p_2,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 178.46/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)))) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_acyclicI,axiom,
% 178.46/178.21 ! [V_r_2,T_b] :
% 178.46/178.21 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 178.46/178.21 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_single__valued__rel__pow,axiom,
% 178.46/178.21 ! [V_n_2,V_R_2,T_b] :
% 178.46/178.21 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2)
% 178.46/178.21 => c_Relation_Osingle__valued(T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_comp__funpow,axiom,
% 178.46/178.21 ! [V_f_2,V_n_2,T_c,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),V_n_2),c_Fun_Ocomp(T_c,T_c,T_b,V_f_2)) = c_Fun_Ocomp(T_c,T_c,T_b,hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),V_n_2),V_f_2)) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_wf__exp,axiom,
% 178.46/178.21 ! [V_R_2,V_n_2,T_b] :
% 178.46/178.21 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))
% 178.46/178.21 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_funpow__mult,axiom,
% 178.46/178.21 ! [V_f_2,V_m_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)) = hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_funpow__swap1,axiom,
% 178.46/178.21 ! [V_x_2,V_n_2,T_b,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2),hAPP(V_f_2,V_x_2)) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_rel__pow__1,axiom,
% 178.46/178.21 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_R_2) = V_R_2 ).
% 178.46/178.21
% 178.46/178.21 fof(fact_rel__pow__commute,axiom,
% 178.46/178.21 ! [V_n_2,V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_rel__pow__imp__rtrancl,axiom,
% 178.46/178.21 ! [V_R_2,V_n_2,V_p_2,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 178.46/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_rtrancl__power,axiom,
% 178.46/178.21 ! [V_R_2,V_p_2,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 178.46/178.21 <=> ? [B_n] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_relpow_Osimps_I2_J,axiom,
% 178.46/178.21 ! [V_R_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_rel__pow__add,axiom,
% 178.46/178.21 ! [V_R_2,V_n_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_m_2),V_R_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_relpow_Osimps_I1_J,axiom,
% 178.46/178.21 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2) = c_Relation_OId(T_b) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_rel__pow__0__I,axiom,
% 178.46/178.21 ! [V_R_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_rel__pow__0__E,axiom,
% 178.46/178.21 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2)))
% 178.46/178.21 => V_x_2 = V_y_2 ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_rel__pow__Suc__I,axiom,
% 178.46/178.21 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 178.46/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_R_2))
% 178.46/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_rel__pow__Suc__I2,axiom,
% 178.46/178.21 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2))
% 178.46/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 178.46/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_funpow_Osimps_I2_J,axiom,
% 178.46/178.21 ! [V_f_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(c_Nat_OSuc,V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,V_f_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_funpow__add,axiom,
% 178.46/178.21 ! [V_f_2,V_n_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_funpow_Osimps_I1_J,axiom,
% 178.46/178.21 ! [V_f_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_f_2) = c_Fun_Oid(T_b) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_trancl__power,axiom,
% 178.46/178.21 ! [V_R_2,V_p_2,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 178.46/178.21 <=> ? [B_n] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 178.46/178.21 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 178.46/178.21 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_R_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_funpow__code__def,axiom,
% 178.46/178.21 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_rel__pow__E,axiom,
% 178.46/178.21 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 178.46/178.21 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.21 => V_x_2 != V_z_2 )
% 178.46/178.21 => ~ ! [B_y,B_m] :
% 178.46/178.21 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 178.46/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2)))
% 178.46/178.21 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_rel__pow__E2,axiom,
% 178.46/178.21 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 178.46/178.21 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.21 => V_x_2 != V_z_2 )
% 178.46/178.21 => ~ ! [B_y,B_m] :
% 178.46/178.21 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 178.46/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 178.46/178.21 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2))) ) ) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 178.46/178.21 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2),V_Qa_2))))
% 178.46/178.21 => ( ! [B_x] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2)))
% 178.46/178.21 => ! [B_y] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_Qa_2))
% 178.46/178.21 => B_y = B_x ) )
% 178.46/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_rtrancl__Un__separatorE,axiom,
% 178.46/178.21 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2),V_Qa_2))))
% 178.46/178.21 => ( ! [B_x] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2)))
% 178.46/178.21 => ! [B_y] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_Qa_2))
% 178.46/178.21 => B_x = B_y ) )
% 178.46/178.21 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_rel__pow__Suc__D2,axiom,
% 178.46/178.21 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 178.46/178.21 => ? [B_y] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 178.46/178.21 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_rel__pow__Suc__E,axiom,
% 178.46/178.21 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 178.46/178.21 => ~ ! [B_y] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 178.46/178.21 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_rel__pow__Suc__E2,axiom,
% 178.46/178.21 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 178.46/178.21 => ~ ! [B_y] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 178.46/178.21 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_tranclD,axiom,
% 178.46/178.21 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 178.46/178.21 => ? [B_z] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),V_R_2))
% 178.46/178.21 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_tranclD2,axiom,
% 178.46/178.21 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 178.46/178.21 => ? [B_z] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 178.46/178.21 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),V_R_2)) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_IdE,axiom,
% 178.46/178.21 ! [V_p_2,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b)))
% 178.46/178.21 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_transfer__nat__int__set__cong,axiom,
% 178.46/178.21 ! [V_P_H_2,V_Pa_2] :
% 178.46/178.21 ( ! [B_x] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 178.46/178.21 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 178.46/178.21 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) )
% 178.46/178.21 => hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2)) = hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_H_2)) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_Int__Collect__mono,axiom,
% 178.46/178.21 ! [V_Qa_2,V_Pa_2,V_B_2,V_A_2,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 178.46/178.21 => ( ! [B_x] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.46/178.21 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 178.46/178.21 => hBOOL(hAPP(V_Qa_2,B_x)) ) )
% 178.46/178.21 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_OCollect(T_b),V_Qa_2)))) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_converseE,axiom,
% 178.46/178.21 ! [V_r_2,V_yx_2,T_c,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_yx_2),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 178.46/178.21 => ~ ! [B_x,B_y] :
% 178.46/178.21 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x)
% 178.46/178.21 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),B_y)),V_r_2)) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_rel__compE,axiom,
% 178.46/178.21 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_xz_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2)))
% 178.46/178.21 => ~ ! [B_x,B_y,B_z] :
% 178.46/178.21 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)
% 178.46/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),B_x),B_y)),V_r_2))
% 178.46/178.21 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),B_y),B_z)),V_s_2)) ) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 178.46/178.21 ! [V_r_2,V_q_2,T_b] : c_Nitpick_Oplus__frac(T_b,V_q_2,V_r_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(T_b),V_q_2),hAPP(c_Nitpick_Odenom(T_b),V_r_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,T_b),tc_Int_Oint),c_Nitpick_Ofrac(T_b)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_q_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_q_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_r_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_r_2)))))),c_COMBI(tc_Int_Oint))) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 178.46/178.21 ! [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))) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_Nitpick_Oof__frac__def,axiom,
% 178.46/178.21 ! [V_q,T_a,T_b] :
% 178.46/178.21 ( ( class_Rings_Oinverse(T_b)
% 178.46/178.21 & class_Rings_Oring__1(T_b) )
% 178.46/178.21 => 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))) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 178.46/178.21 ! [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)) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 178.46/178.21 ! [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))) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_Nitpick_Oless__frac__def,axiom,
% 178.46/178.21 ! [V_r_2,V_q_2,T_b] :
% 178.46/178.21 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2)
% 178.46/178.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 178.46/178.21 ! [V_r_2,V_q_2,T_b] :
% 178.46/178.21 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2)
% 178.46/178.21 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_Nitpick_Odenom__def,axiom,
% 178.46/178.21 ! [T_b] : c_Nitpick_Odenom(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_Nitpick_Onum__def,axiom,
% 178.46/178.21 ! [T_b] : c_Nitpick_Onum(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_internal__split__def,axiom,
% 178.46/178.21 ! [T_d,T_c,T_b] : c_Product__Type_Ointernal__split(T_b,T_c,T_d) = c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_bool_Osize_I1_J,axiom,
% 178.46/178.21 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_internal__split__conv,axiom,
% 178.46/178.21 ! [V_b_2,V_a_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ointernal__split(T_c,T_d,T_b),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_c_2,V_a_2),V_b_2) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_bool_Osize_I2_J,axiom,
% 178.46/178.21 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_finite__less__ub,axiom,
% 178.46/178.21 ! [V_u_2,V_f_2] :
% 178.46/178.21 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 178.46/178.21 => 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)))) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_lenlex__def,axiom,
% 178.46/178.21 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_List_Olist(T_b),c_Wellfounded_Oless__than,c_List_Olex(T_b,V_r_2))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_Nat_Onat,tc_List_Olist(T_b))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_COMBI(tc_List_Olist(T_b)))) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_lexn__length,axiom,
% 178.46/178.21 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)))
% 178.46/178.21 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_n_2
% 178.46/178.21 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_neq__if__length__neq,axiom,
% 178.46/178.21 ! [V_ys,V_xs,T_a] :
% 178.46/178.21 ( 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)
% 178.46/178.21 => V_xs != V_ys ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_lenlex__conv,axiom,
% 178.46/178.21 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fdisj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_List_Olex(T_b,V_r_2)))))) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_length__sublist,axiom,
% 178.46/178.21 ! [V_I_2,V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2)))) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_lexn_Osimps_I2_J,axiom,
% 178.46/178.21 ! [V_n_2,V_r_2,T_b] : hAPP(c_List_Olexn(T_b,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_b),tc_List_Olist(T_b)),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_prod(tc_prod(T_b,tc_List_Olist(T_b)),tc_prod(T_b,tc_List_Olist(T_b))),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_Product__Type_Omap__pair(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),c_Wellfounded_Olex__prod(T_b,tc_List_Olist(T_b),V_r_2,hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)))),hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_n_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_n_2)))))) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_impossible__Cons,axiom,
% 178.46/178.21 ! [V_x,V_ys,V_xs,T_a] :
% 178.46/178.21 ( 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)))
% 178.46/178.21 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_list_Oinject,axiom,
% 178.46/178.21 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] :
% 178.46/178.21 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_H_2),V_list_H_2)
% 178.46/178.21 <=> ( V_a_2 = V_a_H_2
% 178.46/178.21 & V_list_2 = V_list_H_2 ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_not__Cons__self2,axiom,
% 178.46/178.21 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 178.46/178.21
% 178.46/178.21 fof(fact_not__Cons__self,axiom,
% 178.46/178.21 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_list_Osize_I4_J,axiom,
% 178.46/178.21 ! [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))) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_Cons__in__lex,axiom,
% 178.46/178.21 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olex(T_b,V_r_2)))
% 178.46/178.21 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 178.46/178.21 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) )
% 178.46/178.21 | ( V_x_2 = V_y_2
% 178.46/178.21 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olex(T_b,V_r_2))) ) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_set__Cons__def,axiom,
% 178.46/178.21 ! [V_XS_2,V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,V_XS_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_List_Olist(T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBS(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_HOL_Obool,tc_List_Olist(T_b))),c_fequal))),c_List_Olist_OCons(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),V_XS_2)))))) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_pick_Osimps,axiom,
% 178.46/178.21 ! [V_xs,V_x,T_a,V_i] :
% 178.46/178.21 ( ( 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)))
% 178.46/178.21 => 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) )
% 178.46/178.21 & ( ~ 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)))
% 178.46/178.21 => 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))) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_select__weight__cons__zero,axiom,
% 178.46/178.21 ! [V_xs_2,V_x_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_x_2)),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_lexord__cons__cons,axiom,
% 178.46/178.21 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_y_2))),c_List_Olexord(T_b,V_r_2)))
% 178.46/178.21 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 178.46/178.21 | ( V_a_2 = V_b_2
% 178.46/178.21 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_lexord__lex,axiom,
% 178.46/178.21 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olex(T_b,V_r_2)))
% 178.46/178.21 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 178.46/178.21 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ) ).
% 178.46/178.21
% 178.46/178.21 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 178.46/178.21 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 178.46/178.21 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 178.46/178.21 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list_Osize_I2_J,axiom,
% 178.46/178.22 ! [V_list_2,V_a_2,V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),c_List_Olist_Olist__size(T_b,V_fa_2,V_list_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_Cons__acc__listrel1I,axiom,
% 178.46/178.22 ! [V_xs_2,V_r_2,V_x_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 178.46/178.22 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel1__mono,axiom,
% 178.46/178.22 ! [V_s_2,V_r_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel1(T_b,V_s_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel1__converse,axiom,
% 178.46/178.22 ! [V_r_2,T_b] : c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 178.46/178.22 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 178.46/178.22 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel1I2,axiom,
% 178.46/178.22 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 178.46/178.22 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 178.46/178.22 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel1__eq__len,axiom,
% 178.46/178.22 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 178.46/178.22 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_in__listrel1__converse,axiom,
% 178.46/178.22 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 178.46/178.22 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel1I1,axiom,
% 178.46/178.22 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_xs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_Cons__listrel1__Cons,axiom,
% 178.46/178.22 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2)))
% 178.46/178.22 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 178.46/178.22 & V_xs_2 = V_ys_2 )
% 178.46/178.22 | ( V_x_2 = V_y_2
% 178.46/178.22 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel__Cons,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = c_List_Oset__Cons(T_b,hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),V_xs_2),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_lexord__irreflexive,axiom,
% 178.46/178.22 ! [V_y_2,V_r_2,T_b] :
% 178.46/178.22 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2))
% 178.46/178.22 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel__rtrancl__refl,axiom,
% 178.46/178.22 ! [V_r_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_xs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel__mono,axiom,
% 178.46/178.22 ! [V_s_2,V_r_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_List_Olistrel(T_b,V_s_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 178.46/178.22 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel__eq__len,axiom,
% 178.46/178.22 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 178.46/178.22 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel__rtrancl__trans,axiom,
% 178.46/178.22 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))))
% 178.46/178.22 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 178.46/178.22 ! [V_r_2,T_b] : c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 178.46/178.22 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel1__subset__listrel,axiom,
% 178.46/178.22 ! [V_r_H_2,V_r_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2))
% 178.46/178.22 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2)
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel(T_b,V_r_H_2))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 178.46/178.22 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel_OCons,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 178.46/178.22 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrelp__listrel__eq,axiom,
% 178.46/178.22 ! [V_xa_2,V_x_2,V_r_2,T_b] :
% 178.46/178.22 ( c_List_Olistrelp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2),V_x_2,V_xa_2)
% 178.46/178.22 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_xa_2)),c_List_Olistrel(T_b,V_r_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel__Cons2,axiom,
% 178.46/178.22 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2)))
% 178.46/178.22 => ~ ! [B_x,B_xs] :
% 178.46/178.22 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 178.46/178.22 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_y_2)),V_r_2))
% 178.46/178.22 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),B_xs),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrelp_Oequations_I2_J,axiom,
% 178.46/178.22 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] :
% 178.46/178.22 ( c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a3_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a4_2))
% 178.46/178.22 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 178.46/178.22 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrelp_OCons,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 178.46/178.22 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2)
% 178.46/178.22 => c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel__Cons1,axiom,
% 178.46/178.22 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)),V_xs_2)),c_List_Olistrel(T_b,V_r_2)))
% 178.46/178.22 => ~ ! [B_y,B_ys] :
% 178.46/178.22 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys)
% 178.46/178.22 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),B_y)),V_r_2))
% 178.46/178.22 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),B_ys)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel__subset,axiom,
% 178.46/178.22 ! [V_A_2,V_r_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2))))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_lists__UNIV,axiom,
% 178.46/178.22 ! [T_b] : c_List_Olists(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_lists__mono,axiom,
% 178.46/178.22 ! [V_B_2,V_A_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olists(T_b,V_A_2)),c_List_Olists(T_b,V_B_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_equiv__listrel,axiom,
% 178.46/178.22 ! [V_r_2,V_A_2,T_b] :
% 178.46/178.22 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 178.46/178.22 => c_Equiv__Relations_Oequiv(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel__refl__on,axiom,
% 178.46/178.22 ! [V_r_2,V_A_2,T_b] :
% 178.46/178.22 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 178.46/178.22 => c_Relation_Orefl__on(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_Cons__in__lists__iff,axiom,
% 178.46/178.22 ! [V_A_2,V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_List_Olists(T_b,V_A_2)))
% 178.46/178.22 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.46/178.22 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_lists__accD,axiom,
% 178.46/178.22 ! [V_r_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2))))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_lists__accI,axiom,
% 178.46/178.22 ! [V_r_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2)))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel__iff__nth,axiom,
% 178.46/178.22 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 178.46/178.22 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 178.46/178.22 & ! [B_n] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_n))),V_r_2)) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_lexord__linear,axiom,
% 178.46/178.22 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 178.46/178.22 ( ! [B_a,B_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_b)),V_r_2))
% 178.46/178.22 | B_a = B_b
% 178.46/178.22 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_b),B_a)),V_r_2)) )
% 178.46/178.22 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 178.46/178.22 | V_x_2 = V_y_2
% 178.46/178.22 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_x_2)),c_List_Olexord(T_b,V_r_2))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_infinite__UNIV__listI,axiom,
% 178.46/178.22 ! [T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__eq__iff__nth__eq,axiom,
% 178.46/178.22 ! [T_b,V_ys_2,V_xs_2] :
% 178.46/178.22 ( V_xs_2 = V_ys_2
% 178.46/178.22 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 178.46/178.22 & ! [B_i] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.22 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nth__Cons__Suc,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nth__Cons__0,axiom,
% 178.46/178.22 ! [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 ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nth_Osimps,axiom,
% 178.46/178.22 ! [V_n_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_n_2) = c_Nat_Onat_Onat__case(T_b,V_x_2,hAPP(c_List_Onth(T_b),V_xs_2),V_n_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nth__Cons_H,axiom,
% 178.46/178.22 ! [V_xs,V_x,T_a,V_n] :
% 178.46/178.22 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.22 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 178.46/178.22 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.22 => 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))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nth__Cons__number__of,axiom,
% 178.46/178.22 ! [V_xs,V_x,T_a,V_v] :
% 178.46/178.22 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.22 => 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 )
% 178.46/178.22 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.22 => 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))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_lexord__take__index__conv,axiom,
% 178.46/178.22 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 178.46/178.22 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2)))
% 178.46/178.22 & hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),V_y_2) = V_x_2 )
% 178.46/178.22 | ? [B_i] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2))))
% 178.46/178.22 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2)
% 178.46/178.22 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_x_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_y_2),B_i))),V_r_2)) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__sublist,axiom,
% 178.46/178.22 ! [V_I_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2))))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_finite__set,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__subset__Cons,axiom,
% 178.46/178.22 ! [V_x_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_take__all,axiom,
% 178.46/178.22 ! [V_n,V_xs,T_a] :
% 178.46/178.22 ( 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))
% 178.46/178.22 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__take__subset,axiom,
% 178.46/178.22 ! [V_xs_2,V_n_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__take__subset__set__take,axiom,
% 178.46/178.22 ! [V_xs_2,T_b,V_n_2,V_m_2] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2)))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__sublist__subset,axiom,
% 178.46/178.22 ! [V_I_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nth__take,axiom,
% 178.46/178.22 ! [V_xs,T_a,V_n,V_i] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 178.46/178.22 => 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) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__ConsD,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,V_y_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))))
% 178.46/178.22 => ( V_y_2 = V_x_2
% 178.46/178.22 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_in__set__sublistD,axiom,
% 178.46/178.22 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_in__set__takeD,axiom,
% 178.46/178.22 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2))))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_notin__set__sublistI,axiom,
% 178.46/178.22 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_take__Suc__Cons,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__take,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_take__take,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_sublist__upt__eq__take,axiom,
% 178.46/178.22 ! [V_n_2,V_l_2,T_b] : c_List_Osublist(T_b,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_l_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_card__length,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_all__set__conv__all__nth,axiom,
% 178.46/178.22 ! [V_Pa_2,V_xs_2,T_b] :
% 178.46/178.22 ( ! [B_x] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 178.46/178.22 <=> ! [B_i] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.22 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__size__estimation,axiom,
% 178.46/178.22 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__size__estimation_H,axiom,
% 178.46/178.22 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_in__lists__conv__set,axiom,
% 178.46/178.22 ! [V_A_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 178.46/178.22 <=> ! [B_x] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__pos__if__in__set,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nth__mem,axiom,
% 178.46/178.22 ! [V_xs_2,T_b,V_n_2] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_in__set__conv__nth,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 <=> ? [B_i] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.22 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_lists__eq__set,axiom,
% 178.46/178.22 ! [V_A_2,T_b] : c_List_Olists(T_b,V_A_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__conv__nth,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_finite__lists__length__eq,axiom,
% 178.46/178.22 ! [V_n_2,V_A_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.46/178.22 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_finite__lists__length__le,axiom,
% 178.46/178.22 ! [V_n_2,V_A_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.46/178.22 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel__iff__zip,axiom,
% 178.46/178.22 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 178.46/178.22 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 178.46/178.22 & ! [B_x] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2))))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),B_x)) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__zip,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_c)),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_prod(T_b,T_c)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),tc_Nat_Onat),c_Product__Type_OPair(T_b,T_c)),hAPP(c_List_Onth(T_b),V_xs_2))),hAPP(c_List_Onth(T_c),V_ys_2)))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_take__zip,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__zip,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_zip__Cons__Cons,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__eq__iff__zip__eq,axiom,
% 178.46/178.22 ! [T_b,V_ys_2,V_xs_2] :
% 178.46/178.22 ( V_xs_2 = V_ys_2
% 178.46/178.22 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 178.46/178.22 & ! [B_x] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2))))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_zip__same,axiom,
% 178.46/178.22 ! [V_xs_2,V_b_2,V_a_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2))))
% 178.46/178.22 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 & V_a_2 = V_b_2 ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__zip__leftD,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__zip__rightD,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_in__set__zipE,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 178.46/178.22 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nth__zip,axiom,
% 178.46/178.22 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 178.46/178.22 ( 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)))
% 178.46/178.22 => ( 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)))
% 178.46/178.22 => 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)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_greaterThanLessThan__upto,axiom,
% 178.46/178.22 ! [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)))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsum__setsum__nth,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] :
% 178.46/178.22 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.46/178.22 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_atLeastAtMost__upto,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__upto,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 178.46/178.22 ! [V_ns_2] :
% 178.46/178.22 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.22 <=> ! [B_x] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 178.46/178.22 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_elem__le__listsum__nat,axiom,
% 178.46/178.22 ! [V_ns,V_k] :
% 178.46/178.22 ( 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)))
% 178.46/178.22 => 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))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsum__simps_I2_J,axiom,
% 178.46/178.22 ! [V_xs,V_x,T_a] :
% 178.46/178.22 ( class_Groups_Omonoid__add(T_a)
% 178.46/178.22 => 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)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_atLeastLessThan__upto,axiom,
% 178.46/178.22 ! [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)))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_greaterThanAtMost__upto,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nat__list__def,axiom,
% 178.46/178.22 ! [V_l_2] :
% 178.46/178.22 ( c_List_Onat__list(V_l_2)
% 178.46/178.22 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__size__pointwise,axiom,
% 178.46/178.22 ! [V_g_2,V_f_2,V_xs_2,T_b] :
% 178.46/178.22 ( ! [B_x] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2)),c_List_Olist_Olist__size(T_b,V_g_2,V_xs_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsum__update__nat,axiom,
% 178.46/178.22 ! [V_n,V_ns,V_k] :
% 178.46/178.22 ( 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)))
% 178.46/178.22 => 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)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_butlast__take,axiom,
% 178.46/178.22 ! [V_xs,T_a,V_n] :
% 178.46/178.22 ( 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)))
% 178.46/178.22 => 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) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__update__beyond,axiom,
% 178.46/178.22 ! [V_x,V_i,V_xs,T_a] :
% 178.46/178.22 ( 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))
% 178.46/178.22 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__update__id,axiom,
% 178.46/178.22 ! [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 ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nth__list__update__neq,axiom,
% 178.46/178.22 ! [V_x,V_xs,T_a,V_j,V_i] :
% 178.46/178.22 ( V_i != V_j
% 178.46/178.22 => 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) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__list__update,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_butlast__list__update,axiom,
% 178.46/178.22 ! [V_x,V_xs,T_a,V_k] :
% 178.46/178.22 ( ( 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))
% 178.46/178.22 => 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) )
% 178.46/178.22 & ( 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))
% 178.46/178.22 => 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) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_zip__update,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_update__zip,axiom,
% 178.46/178.22 ! [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))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__update__swap,axiom,
% 178.46/178.22 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 178.46/178.22 ( V_i != V_i_H
% 178.46/178.22 => 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) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__update__overwrite,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__update_Osimps_I2_J,axiom,
% 178.46/178.22 ! [V_v_2,V_i_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_i_2),V_v_2) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_v_2),V_xs_2),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,tc_List_Olist(T_b)),c_List_Olist__update(T_b,V_xs_2)),V_v_2)),V_i_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__update__code_I3_J,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__update__code_I2_J,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_in__set__butlastD,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__update__subsetI,axiom,
% 178.46/178.22 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),V_A_2))
% 178.46/178.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),V_A_2)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__update__subset__insert,axiom,
% 178.46/178.22 ! [V_x_2,V_i_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nth__list__update__eq,axiom,
% 178.46/178.22 ! [V_x,V_xs,T_a,V_i] :
% 178.46/178.22 ( 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)))
% 178.46/178.22 => 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 ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__update__same__conv,axiom,
% 178.46/178.22 ! [V_x_2,V_xs_2,T_b,V_i_2] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.22 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 178.46/178.22 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nth__list__update,axiom,
% 178.46/178.22 ! [V_x,V_j,V_xs,T_a,V_i] :
% 178.46/178.22 ( 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)))
% 178.46/178.22 => ( ( V_i = V_j
% 178.46/178.22 => 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 )
% 178.46/178.22 & ( V_i != V_j
% 178.46/178.22 => 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) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_take__butlast,axiom,
% 178.46/178.22 ! [V_xs,T_a,V_n] :
% 178.46/178.22 ( 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)))
% 178.46/178.22 => 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) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__butlast,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__update__memI,axiom,
% 178.46/178.22 ! [V_x_2,V_xs_2,T_b,V_n_2] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_n_2),V_x_2)))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_butlast__conv__take,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel1__iff__update,axiom,
% 178.46/178.22 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 178.46/178.22 <=> ? [B_y,B_n] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),B_y)),V_r_2))
% 178.46/178.22 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.22 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__list__update,axiom,
% 178.46/178.22 ! [V_i_2,V_a_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 178.46/178.22 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 178.46/178.22 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__upto,axiom,
% 178.46/178.22 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__take,axiom,
% 178.46/178.22 ! [V_i,V_xs,T_a] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 178.46/178.22 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__sublistI,axiom,
% 178.46/178.22 ! [V_I_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 178.46/178.22 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__zipI2,axiom,
% 178.46/178.22 ! [V_xs,T_b,V_ys,T_a] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 178.46/178.22 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__zipI1,axiom,
% 178.46/178.22 ! [V_ys,T_b,V_xs,T_a] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 178.46/178.22 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct_Osimps_I2_J,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))
% 178.46/178.22 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__card,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 178.46/178.22 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_card__distinct,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] :
% 178.46/178.22 ( hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 178.46/178.22 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nth__eq__iff__index__eq,axiom,
% 178.46/178.22 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 178.46/178.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.22 => ( hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2)
% 178.46/178.22 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__conv__nth,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 178.46/178.22 <=> ! [B_i] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.22 => ! [B_j] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.22 => ( B_i != B_j
% 178.46/178.22 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] :
% 178.46/178.22 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.46/178.22 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 178.46/178.22 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_b),c_COMBI(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_Nitpick_Ocard_H__def,axiom,
% 178.46/178.22 ! [V_A_2,T_b] :
% 178.46/178.22 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.46/178.22 => c_Nitpick_Ocard_H(T_b,V_A_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b)))) )
% 178.46/178.22 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.46/178.22 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nth__take__lemma,axiom,
% 178.46/178.22 ! [V_ys,V_xs,T_a,V_k] :
% 178.46/178.22 ( 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)))
% 178.46/178.22 => ( 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)))
% 178.46/178.22 => ( ! [B_i] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 178.46/178.22 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 178.46/178.22 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__remove1__eq,axiom,
% 178.46/178.22 ! [V_x_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 178.46/178.22 => hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_take__Cons__number__of,axiom,
% 178.46/178.22 ! [V_xs,V_x,T_a,V_v] :
% 178.46/178.22 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.22 => 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) )
% 178.46/178.22 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.22 => 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)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_lists_ONil,axiom,
% 178.46/178.22 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olists(T_b,V_A_2))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel__Nil1,axiom,
% 178.46/178.22 ! [V_r_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel(T_b,V_r_2)))
% 178.46/178.22 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel__Nil2,axiom,
% 178.46/178.22 ! [V_r_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2)))
% 178.46/178.22 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__butlast,axiom,
% 178.46/178.22 ! [T_a,V_xs] :
% 178.46/178.22 ( V_xs != c_List_Olist_ONil(T_a)
% 178.46/178.22 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 178.46/178.22 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct_Osimps_I1_J,axiom,
% 178.46/178.22 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__remove1,axiom,
% 178.46/178.22 ! [V_x,V_xs,T_a] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 178.46/178.22 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_butlast_Osimps_I1_J,axiom,
% 178.46/178.22 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_butlast_Osimps_I2_J,axiom,
% 178.46/178.22 ! [V_x,T_a,V_xs] :
% 178.46/178.22 ( ( V_xs = c_List_Olist_ONil(T_a)
% 178.46/178.22 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 178.46/178.22 & ( V_xs != c_List_Olist_ONil(T_a)
% 178.46/178.22 => 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)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_remove1_Osimps_I2_J,axiom,
% 178.46/178.22 ! [V_xs,T_a,V_y,V_x] :
% 178.46/178.22 ( ( V_x = V_y
% 178.46/178.22 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 178.46/178.22 & ( V_x != V_y
% 178.46/178.22 => 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)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list_Osimps_I3_J,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list_Osimps_I2_J,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_upto__empty,axiom,
% 178.46/178.22 ! [V_i,V_j] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 178.46/178.22 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_take__Nil,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_take__0,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_take__eq__Nil,axiom,
% 178.46/178.22 ! [V_xs_2,V_n_2,T_b] :
% 178.46/178.22 ( hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 178.46/178.22 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.22 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list_Osize_I1_J,axiom,
% 178.46/178.22 ! [V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,c_List_Olist_ONil(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_sublist__nil,axiom,
% 178.46/178.22 ! [V_A_2,T_b] : c_List_Osublist(T_b,c_List_Olist_ONil(T_b),V_A_2) = c_List_Olist_ONil(T_b) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_remove1_Osimps_I1_J,axiom,
% 178.46/178.22 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_remove1__commute,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrelp_ONil,axiom,
% 178.46/178.22 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrelp_Oequations_I1_J,axiom,
% 178.46/178.22 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_zip_Osimps_I1_J,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_zip__Nil,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsum__simps_I1_J,axiom,
% 178.46/178.22 ! [T_a] :
% 178.46/178.22 ( class_Groups_Omonoid__add(T_a)
% 178.46/178.22 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__0__conv,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] :
% 178.46/178.22 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.22 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list_Osize_I3_J,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__empty,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] :
% 178.46/178.22 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.46/178.22 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__empty2,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] :
% 178.46/178.22 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2)
% 178.46/178.22 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 178.46/178.22 ! [T_b] : hAPP(c_List_Oset(T_b),c_List_Olist_ONil(T_b)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__update__nonempty,axiom,
% 178.46/178.22 ! [V_x_2,V_k_2,V_xs_2,T_b] :
% 178.46/178.22 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b)
% 178.46/178.22 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__update_Osimps_I1_J,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__update__code_I1_J,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_in__set__remove1,axiom,
% 178.46/178.22 ! [V_xs_2,T_b,V_b_2,V_a_2] :
% 178.46/178.22 ( V_a_2 != V_b_2
% 178.46/178.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_b_2,V_xs_2))))
% 178.46/178.22 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_notin__set__remove1,axiom,
% 178.46/178.22 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_y_2,V_xs_2)))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_remove1__idem,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_sublist__empty,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__remove1__subset,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__greater__0__conv,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.22 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_take__1__Cons,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_not__Nil__listrel1,axiom,
% 178.46/178.22 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel1(T_b,V_r_2))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_not__listrel1__Nil,axiom,
% 178.46/178.22 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel1(T_b,V_r_2))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel_ONil,axiom,
% 178.46/178.22 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_lexord__Nil__right,axiom,
% 178.46/178.22 ! [V_r_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olexord(T_b,V_r_2))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_Nil__notin__lex,axiom,
% 178.46/178.22 ! [V_r_2,V_ys_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_ys_2)),c_List_Olex(T_b,V_r_2))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_Nil2__notin__lex,axiom,
% 178.46/178.22 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olex(T_b,V_r_2))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_take__Cons,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,V_n_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otake(T_b)),V_xs_2)),V_n_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_upto_Osimps,axiom,
% 178.46/178.22 ! [V_j,V_i] :
% 178.46/178.22 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 178.46/178.22 => 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)) )
% 178.46/178.22 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 178.46/178.22 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_sublist__singleton,axiom,
% 178.46/178.22 ! [V_x_2,T_b,V_A_2] :
% 178.46/178.22 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 178.46/178.22 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) )
% 178.46/178.22 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 178.46/178.22 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = c_List_Olist_ONil(T_b) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_lists__empty,axiom,
% 178.46/178.22 ! [T_b] : c_List_Olists(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_take__Cons_H,axiom,
% 178.46/178.22 ! [V_xs,V_x,T_a,V_n] :
% 178.46/178.22 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.22 => 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) )
% 178.46/178.22 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.22 => 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)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_upto__rec__number__of,axiom,
% 178.46/178.22 ! [V_n,V_m] :
% 178.46/178.22 ( ( 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)))
% 178.46/178.22 => 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))) )
% 178.46/178.22 & ( ~ 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)))
% 178.46/178.22 => 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) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel__Nil,axiom,
% 178.46/178.22 ! [V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__Cons__sing__Nil,axiom,
% 178.46/178.22 ! [V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(c_Set_Oimage(T_b,tc_List_Olist(T_b),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))),V_A_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__remove1,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 178.46/178.22 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_upto_Opsimps,axiom,
% 178.46/178.22 ! [V_j_2,V_i_2] :
% 178.46/178.22 ( 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)))
% 178.46/178.22 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 178.46/178.22 => 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)) )
% 178.46/178.22 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 178.46/178.22 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_select,axiom,
% 178.46/178.22 ! [V_s_2,T_b,V_xs_2] :
% 178.46/178.22 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listset_Osimps_I1_J,axiom,
% 178.46/178.22 ! [T_b] : c_List_Olistset(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_zip__Cons1,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_ys_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_c,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),T_c),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_c))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_c),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)))),hAPP(c_List_Ozip(T_b,T_c),V_xs_2))),V_ys_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list_Osimps_I5_J,axiom,
% 178.46/178.22 ! [V_list_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_a_2),V_list_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_list_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list_Osimps_I4_J,axiom,
% 178.46/178.22 ! [V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),c_List_Olist_ONil(T_c)) = V_f1_2 ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listset_Osimps_I2_J,axiom,
% 178.46/178.22 ! [V_As_2,V_A_2,T_b] : c_List_Olistset(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_As_2)) = c_List_Oset__Cons(T_b,V_A_2,c_List_Olistset(T_b,V_As_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_zip__Cons,axiom,
% 178.46/178.22 ! [V_ys_2,V_y_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_b,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),T_b),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_b),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)),V_y_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),c_List_Ozip(T_b,T_c)),V_ys_2))),V_xs_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_sorted__list__of__set__remove,axiom,
% 178.46/178.22 ! [V_x_2,V_A_2,T_b] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_b)
% 178.46/178.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.46/178.22 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = c_List_Oremove1(T_b,V_x_2,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_upto_Opinduct,axiom,
% 178.46/178.22 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 178.46/178.22 ( 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)))
% 178.46/178.22 => ( ! [B_i,B_j] :
% 178.46/178.22 ( 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)))
% 178.46/178.22 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 178.46/178.22 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint))),B_j)) )
% 178.46/178.22 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) )
% 178.46/178.22 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_sorted__list__of__set__empty,axiom,
% 178.46/178.22 ! [T_b] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_b)
% 178.46/178.22 => c_List_Olinorder__class_Osorted__list__of__set(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_anamorph_Osimps,axiom,
% 178.46/178.22 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 178.46/178.22 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 178.46/178.22 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),V_k_2),V_x_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2) )
% 178.46/178.22 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 178.46/178.22 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),V_k_2),V_x_2) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(tc_List_Olist(T_b),T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),c_COMBB(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c),T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),T_b),c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),T_c))),c_List_Olist_OCons(T_b))))),hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))),hAPP(V_f_2,V_x_2)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_sublist__Cons,axiom,
% 178.46/178.22 ! [V_A_2,V_l_2,V_x_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(hAPP(c_If(tc_List_Olist(T_b)),hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olist_ONil(T_b))),c_List_Osublist(T_b,V_l_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_A_2)))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_append1__eq__conv,axiom,
% 178.46/178.22 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 178.46/178.22 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b)))
% 178.46/178.22 <=> ( V_xs_2 = V_ys_2
% 178.46/178.22 & V_x_2 = V_y_2 ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_Cons__eq__append__conv,axiom,
% 178.46/178.22 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2)
% 178.46/178.22 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 178.46/178.22 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 )
% 178.46/178.22 | ? [B_ys_H] :
% 178.46/178.22 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2
% 178.46/178.22 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_append__eq__Cons__conv,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] :
% 178.46/178.22 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)
% 178.46/178.22 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 178.46/178.22 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) )
% 178.46/178.22 | ? [B_ys_H] :
% 178.46/178.22 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H)
% 178.46/178.22 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_Cons__eq__appendI,axiom,
% 178.46/178.22 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 178.46/178.22 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 178.46/178.22 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 178.46/178.22 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_append__Cons,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_append__in__lists__conv,axiom,
% 178.46/178.22 ! [V_A_2,V_ys_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)),c_List_Olists(T_b,V_A_2)))
% 178.46/178.22 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 178.46/178.22 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_append__assoc,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_append__eq__append__conv2,axiom,
% 178.46/178.22 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] :
% 178.46/178.22 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_ts_2)
% 178.46/178.22 <=> ? [B_us] :
% 178.46/178.22 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us)
% 178.46/178.22 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 )
% 178.46/178.22 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2
% 178.46/178.22 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_same__append__eq,axiom,
% 178.46/178.22 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 178.46/178.22 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_zs_2)
% 178.46/178.22 <=> V_ys_2 = V_zs_2 ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_append__same__eq,axiom,
% 178.46/178.22 ! [V_zs_2,V_xs_2,V_ys_2,T_b] :
% 178.46/178.22 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_xs_2)
% 178.46/178.22 <=> V_ys_2 = V_zs_2 ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_append__eq__appendI,axiom,
% 178.46/178.22 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 178.46/178.22 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 178.46/178.22 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 178.46/178.22 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsum__append,axiom,
% 178.46/178.22 ! [V_ys,V_xs,T_a] :
% 178.46/178.22 ( class_Groups_Omonoid__add(T_a)
% 178.46/178.22 => 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)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__append,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_zip__append,axiom,
% 178.46/178.22 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 178.46/178.22 ( 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)
% 178.46/178.22 => ( 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)
% 178.46/178.22 => 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)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__append,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_eq__Nil__appendI,axiom,
% 178.46/178.22 ! [T_a,V_ys,V_xs] :
% 178.46/178.22 ( V_xs = V_ys
% 178.46/178.22 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_append__self__conv2,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,T_b] :
% 178.46/178.22 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2
% 178.46/178.22 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_append__self__conv,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,T_b] :
% 178.46/178.22 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2
% 178.46/178.22 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_append__is__Nil__conv,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,T_b] :
% 178.46/178.22 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b)
% 178.46/178.22 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 178.46/178.22 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_self__append__conv2,axiom,
% 178.46/178.22 ! [V_xs_2,T_b,V_ys_2] :
% 178.46/178.22 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 178.46/178.22 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_self__append__conv,axiom,
% 178.46/178.22 ! [V_ys_2,T_b,V_xs_2] :
% 178.46/178.22 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 178.46/178.22 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_append__Nil2,axiom,
% 178.46/178.22 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 178.46/178.22
% 178.46/178.22 fof(fact_Nil__is__append__conv,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,T_b] :
% 178.46/178.22 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 178.46/178.22 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 178.46/178.22 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_append__Nil,axiom,
% 178.46/178.22 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 178.46/178.22
% 178.46/178.22 fof(fact_butlast__append,axiom,
% 178.46/178.22 ! [V_xs,T_a,V_ys] :
% 178.46/178.22 ( ( V_ys = c_List_Olist_ONil(T_a)
% 178.46/178.22 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 178.46/178.22 & ( V_ys != c_List_Olist_ONil(T_a)
% 178.46/178.22 => 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)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nth__append__length,axiom,
% 178.46/178.22 ! [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 ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nth__append__length__plus,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_take__append,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__update__append1,axiom,
% 178.46/178.22 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 178.46/178.22 ( 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)))
% 178.46/178.22 => 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) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__update__length,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_remove1__append,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)),V_ys_2) )
% 178.46/178.22 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oremove1(T_b,V_x_2,V_ys_2)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_in__set__butlast__appendI,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 178.46/178.22 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) )
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_butlast__snoc,axiom,
% 178.46/178.22 ! [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 ).
% 178.46/178.22
% 178.46/178.22 fof(fact_append__listrel1I,axiom,
% 178.46/178.22 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 178.46/178.22 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 178.46/178.22 & V_us_2 = V_vs_2 )
% 178.46/178.22 | ( V_xs_2 = V_ys_2
% 178.46/178.22 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_us_2),V_vs_2)),c_List_Olistrel1(T_b,V_r_2))) ) )
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2)),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_vs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_lexord__append__leftI,axiom,
% 178.46/178.22 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2)))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__append,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 178.46/178.22 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 178.46/178.22 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 178.46/178.22 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nth__append,axiom,
% 178.46/178.22 ! [V_ys,V_xs,T_a,V_n] :
% 178.46/178.22 ( ( 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)))
% 178.46/178.22 => 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) )
% 178.46/178.22 & ( ~ 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)))
% 178.46/178.22 => 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))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__update__append,axiom,
% 178.46/178.22 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 178.46/178.22 ( ( 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)))
% 178.46/178.22 => 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) )
% 178.46/178.22 & ( ~ 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)))
% 178.46/178.22 => 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)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_sublist__append,axiom,
% 178.46/178.22 ! [V_A_2,V_l_H_2,V_l_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_l_2),V_l_H_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Osublist(T_b,V_l_2,V_A_2)),c_List_Osublist(T_b,V_l_H_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_l_2)))),V_A_2)))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel1I,axiom,
% 178.46/178.22 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 178.46/178.22 => ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_vs_2))
% 178.46/178.22 => ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_vs_2))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_lexord__append__left__rightI,axiom,
% 178.46/178.22 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2))),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_y_2)))),c_List_Olexord(T_b,V_r_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_take__Suc__conv__app__nth,axiom,
% 178.46/178.22 ! [V_xs,T_a,V_i] :
% 178.46/178.22 ( 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)))
% 178.46/178.22 => 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))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 178.46/178.22 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)))),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))))),c_List_Olistrel1(T_b,V_r_2)))
% 178.46/178.22 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 178.46/178.22 & V_x_2 = V_y_2 )
% 178.46/178.22 | ( V_xs_2 = V_ys_2
% 178.46/178.22 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listrel1E,axiom,
% 178.46/178.22 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 178.46/178.22 => ~ ! [B_x,B_y] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 178.46/178.22 => ! [B_us,B_vs] :
% 178.46/178.22 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs))
% 178.46/178.22 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_lexord__append__leftD,axiom,
% 178.46/178.22 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2)))
% 178.46/178.22 => ( ! [B_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_a)),V_r_2))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_rotate1__def,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] : hAPP(c_List_Orotate1(T_b),V_xs_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)))),V_xs_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_upd__conv__take__nth__drop,axiom,
% 178.46/178.22 ! [V_a,V_xs,T_a,V_i] :
% 178.46/178.22 ( 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)))
% 178.46/178.22 => 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))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_append__take__drop__id,axiom,
% 178.46/178.22 ! [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 ).
% 178.46/178.22
% 178.46/178.22 fof(fact_drop__Suc__Cons,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_drop__1__Cons,axiom,
% 178.46/178.22 ! [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 ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nth__via__drop,axiom,
% 178.46/178.22 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 178.46/178.22 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 178.46/178.22 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct1__rotate,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)))
% 178.46/178.22 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__drop,axiom,
% 178.46/178.22 ! [V_i,V_xs,T_a] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 178.46/178.22 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_drop__butlast,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_butlast__drop,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_take__drop,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_drop__take,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_drop__drop,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_drop__0,axiom,
% 178.46/178.22 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 178.46/178.22
% 178.46/178.22 fof(fact_drop__zip,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__drop,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__rotate1,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__rotate1,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_in__set__dropD,axiom,
% 178.46/178.22 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2))))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__drop__subset,axiom,
% 178.46/178.22 ! [V_xs_2,V_n_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_rotate1__is__Nil__conv,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] :
% 178.46/178.22 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 178.46/178.22 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_drop__Nil,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__drop__subset__set__drop,axiom,
% 178.46/178.22 ! [V_xs_2,T_b,V_m_2,V_n_2] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2)))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_drop__all,axiom,
% 178.46/178.22 ! [V_n,V_xs,T_a] :
% 178.46/178.22 ( 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))
% 178.46/178.22 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_drop__eq__Nil,axiom,
% 178.46/178.22 ! [V_xs_2,V_n_2,T_b] :
% 178.46/178.22 ( hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 178.46/178.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_n_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_drop__append,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_append__eq__conv__conj,axiom,
% 178.46/178.22 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 178.46/178.22 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2
% 178.46/178.22 <=> ( V_xs_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2)
% 178.46/178.22 & V_ys_2 = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_drop__Cons,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,V_n_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Odrop(T_b)),V_xs_2),V_n_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_drop__Cons_H,axiom,
% 178.46/178.22 ! [V_xs,V_x,T_a,V_n] :
% 178.46/178.22 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.22 => 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) )
% 178.46/178.22 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.22 => 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) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nth__drop,axiom,
% 178.46/178.22 ! [V_xs,T_a,V_i,V_n] :
% 178.46/178.22 ( 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)))
% 178.46/178.22 => 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)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_append__eq__append__conv__if,axiom,
% 178.46/178.22 ! [V_ys_092_060_094isub_0622_2,V_ys_092_060_094isub_0621_2,V_xs_092_060_094isub_0622_2,V_xs_092_060_094isub_0621_2,T_b] :
% 178.46/178.22 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_092_060_094isub_0621_2),V_xs_092_060_094isub_0622_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_092_060_094isub_0621_2),V_ys_092_060_094isub_0622_2)
% 178.46/178.22 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)))
% 178.46/178.22 => ( V_xs_092_060_094isub_0621_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)
% 178.46/178.22 & V_xs_092_060_094isub_0622_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)),V_ys_092_060_094isub_0622_2) ) )
% 178.46/178.22 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)))
% 178.46/178.22 => ( hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2) = V_ys_092_060_094isub_0621_2
% 178.46/178.22 & hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2)),V_xs_092_060_094isub_0622_2) = V_ys_092_060_094isub_0622_2 ) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nth__drop_H,axiom,
% 178.46/178.22 ! [V_xs,T_a,V_i] :
% 178.46/178.22 ( 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)))
% 178.46/178.22 => 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) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_rotate__simps,axiom,
% 178.46/178.22 ! [V_xs,V_x,T_b,T_a] :
% 178.46/178.22 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 178.46/178.22 & 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))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_drop__Cons__number__of,axiom,
% 178.46/178.22 ! [V_xs,V_x,T_a,V_v] :
% 178.46/178.22 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.22 => 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) )
% 178.46/178.22 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.22 => 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) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_take__add,axiom,
% 178.46/178.22 ! [V_xs,T_a,V_j,V_i] :
% 178.46/178.22 ( 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)))
% 178.46/178.22 => 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))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_rotate1__length01,axiom,
% 178.46/178.22 ! [V_xs,T_a] :
% 178.46/178.22 ( 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)))
% 178.46/178.22 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_zip__append1,axiom,
% 178.46/178.22 ! [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))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_zip__append2,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_id__take__nth__drop,axiom,
% 178.46/178.22 ! [V_xs,T_a,V_i] :
% 178.46/178.22 ( 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)))
% 178.46/178.22 => 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))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_take__hd__drop,axiom,
% 178.46/178.22 ! [V_xs,T_a,V_n] :
% 178.46/178.22 ( 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)))
% 178.46/178.22 => 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) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_hd__drop__conv__nth,axiom,
% 178.46/178.22 ! [V_n,T_a,V_xs] :
% 178.46/178.22 ( V_xs != c_List_Olist_ONil(T_a)
% 178.46/178.22 => ( 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)))
% 178.46/178.22 => 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) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_hd_Osimps,axiom,
% 178.46/178.22 ! [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 ).
% 178.46/178.22
% 178.46/178.22 fof(fact_hd__append,axiom,
% 178.46/178.22 ! [V_ys,T_a,V_xs] :
% 178.46/178.22 ( ( V_xs = c_List_Olist_ONil(T_a)
% 178.46/178.22 => 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) )
% 178.46/178.22 & ( V_xs != c_List_Olist_ONil(T_a)
% 178.46/178.22 => 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) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_hd__append2,axiom,
% 178.46/178.22 ! [V_ys,T_a,V_xs] :
% 178.46/178.22 ( V_xs != c_List_Olist_ONil(T_a)
% 178.46/178.22 => 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) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_hd__in__set,axiom,
% 178.46/178.22 ! [T_b,V_xs_2] :
% 178.46/178.22 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_hd__conv__nth,axiom,
% 178.46/178.22 ! [T_a,V_xs] :
% 178.46/178.22 ( V_xs != c_List_Olist_ONil(T_a)
% 178.46/178.22 => 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)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_rotate1__hd__tl,axiom,
% 178.46/178.22 ! [T_a,V_xs] :
% 178.46/178.22 ( V_xs != c_List_Olist_ONil(T_a)
% 178.46/178.22 => 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))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_hd__rotate__conv__nth,axiom,
% 178.46/178.22 ! [V_n,T_a,V_xs] :
% 178.46/178.22 ( V_xs != c_List_Olist_ONil(T_a)
% 178.46/178.22 => 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))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_tl__drop,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_drop__tl,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_tl_Osimps_I2_J,axiom,
% 178.46/178.22 ! [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 ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__rotate,axiom,
% 178.46/178.22 ! [V_xs_2,V_n_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)))
% 178.46/178.22 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__tl,axiom,
% 178.46/178.22 ! [V_xs,T_a] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 178.46/178.22 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_rotate0,axiom,
% 178.46/178.22 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_rotate__rotate,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_rotate__add,axiom,
% 178.46/178.22 ! [V_n_2,V_m_2,T_b] : c_List_Orotate(T_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)) = hAPP(c_Fun_Ocomp(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orotate(T_b,V_m_2)),c_List_Orotate(T_b,V_n_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__rotate,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__rotate,axiom,
% 178.46/178.22 ! [V_xs_2,V_n_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_rotate__is__Nil__conv,axiom,
% 178.46/178.22 ! [V_xs_2,V_n_2,T_b] :
% 178.46/178.22 ( hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 178.46/178.22 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_tl_Osimps_I1_J,axiom,
% 178.46/178.22 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_rotate1__rotate__swap,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_rotate__def,axiom,
% 178.46/178.22 ! [V_n_2,T_b] : c_List_Orotate(T_b,V_n_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_n_2),c_List_Orotate1(T_b)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_tl__append2,axiom,
% 178.46/178.22 ! [V_ys,T_a,V_xs] :
% 178.46/178.22 ( V_xs != c_List_Olist_ONil(T_a)
% 178.46/178.22 => 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) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_take__tl,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_rotate__conv__mod,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_drop__Suc,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_rotate__Suc,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_tl__append,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,hAPP(c_List_Otl(T_b),V_ys_2),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b)),V_ys_2))),V_xs_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_rotate__id,axiom,
% 178.46/178.22 ! [V_xs,T_a,V_n] :
% 178.46/178.22 ( 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)
% 178.46/178.22 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_rotate__length01,axiom,
% 178.46/178.22 ! [V_n,V_xs,T_a] :
% 178.46/178.22 ( 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)))
% 178.46/178.22 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__tl,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_tl__take,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_take__Suc,axiom,
% 178.46/178.22 ! [V_n,T_a,V_xs] :
% 178.46/178.22 ( V_xs != c_List_Olist_ONil(T_a)
% 178.46/178.22 => 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))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_rotate__drop__take,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_fold1__set,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] :
% 178.46/178.22 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 178.46/178.22 => ( V_xs_2 != c_List_Olist_ONil(T_b)
% 178.46/178.22 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Otl(T_b),V_xs_2)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_lexord__append__rightI,axiom,
% 178.46/178.22 ! [V_r_2,V_x_2,T_b,V_y_2] :
% 178.46/178.22 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z)
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_y_2))),c_List_Olexord(T_b,V_r_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_foldl__Nil,axiom,
% 178.46/178.22 ! [V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),c_List_Olist_ONil(T_c)) = V_a_2 ).
% 178.46/178.22
% 178.46/178.22 fof(fact_start__le__sum,axiom,
% 178.46/178.22 ! [V_ns_2,V_n_2,V_m_2] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 178.46/178.22 => 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))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_foldl__assoc,axiom,
% 178.46/178.22 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 178.46/178.22 ( class_Groups_Osemigroup__add(T_b)
% 178.46/178.22 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2)),V_zs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_y_2),V_zs_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_foldl__absorb0,axiom,
% 178.46/178.22 ! [V_zs_2,V_x_2,T_b] :
% 178.46/178.22 ( class_Groups_Omonoid__add(T_b)
% 178.46/178.22 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_zs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_zs_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_foldl__Cons,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(hAPP(V_f_2,V_a_2),V_x_2)),V_xs_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_foldl__append,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2)),V_ys_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsum__foldl,axiom,
% 178.46/178.22 ! [T_b] :
% 178.46/178.22 ( class_Groups_Omonoid__add(T_b)
% 178.46/178.22 => c_List_Omonoid__add__class_Olistsum(T_b) = c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_sum__eq__0__conv,axiom,
% 178.46/178.22 ! [V_ns_2,V_m_2] :
% 178.46/178.22 ( 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)
% 178.46/178.22 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.22 & ! [B_x] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 178.46/178.22 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 178.46/178.22 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 178.46/178.22 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 178.46/178.22 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),V_xs_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_Sup__set__fold,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] :
% 178.46/178.22 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.46/178.22 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_Inf__set__fold,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] :
% 178.46/178.22 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.46/178.22 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_Sup__fin__set__fold,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( class_Lattices_Olattice(T_b)
% 178.46/178.22 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_xs_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_Inf__fin__set__fold,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( class_Lattices_Olattice(T_b)
% 178.46/178.22 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_xs_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_Min__fin__set__fold,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_b)
% 178.46/178.22 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_Max__fin__set__fold,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_b)
% 178.46/178.22 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_b)
% 178.46/178.22 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_b)
% 178.46/178.22 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_SUPR__set__fold,axiom,
% 178.46/178.22 ! [V_f_2,V_xs_2,T_c,T_b] :
% 178.46/178.22 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.46/178.22 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_INFI__set__fold,axiom,
% 178.46/178.22 ! [V_f_2,V_xs_2,T_c,T_b] :
% 178.46/178.22 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.46/178.22 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_elem__le__sum,axiom,
% 178.46/178.22 ! [V_ns_2,V_n_2] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 178.46/178.22 => 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))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_sorted__list__of__set__insert,axiom,
% 178.46/178.22 ! [V_x_2,V_A_2,T_b] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_b)
% 178.46/178.22 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.46/178.22 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_lexord__Nil__left,axiom,
% 178.46/178.22 ! [V_r_2,V_y_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 178.46/178.22 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_insort__key_Osimps_I1_J,axiom,
% 178.46/178.22 ! [V_x_2,V_f_2,T_b,T_c] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_c)
% 178.46/178.22 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_insort__key_Osimps_I2_J,axiom,
% 178.46/178.22 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_b)
% 178.46/178.22 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 178.46/178.22 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) )
% 178.46/178.22 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 178.46/178.22 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_ys_2)) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_insort__left__comm,axiom,
% 178.46/178.22 ! [V_xs_2,V_y_2,V_x_2,T_b] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_b)
% 178.46/178.22 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_fun__left__comm__insort,axiom,
% 178.46/178.22 ! [T_b] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_b)
% 178.46/178.22 => c_Finite__Set_Ofun__left__comm(T_b,tc_List_Olist(T_b),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_insort__key__left__comm,axiom,
% 178.46/178.22 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_b)
% 178.46/178.22 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 178.46/178.22 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),V_xs_2)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__insort,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_c)
% 178.46/178.22 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__insort,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_c)
% 178.46/178.22 => hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_remove1__insort,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_b)
% 178.46/178.22 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) = V_xs_2 ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_insort__not__Nil,axiom,
% 178.46/178.22 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_c)
% 178.46/178.22 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),V_xs_2) != c_List_Olist_ONil(T_b) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__insort,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_c)
% 178.46/178.22 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)))
% 178.46/178.22 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_insort__insert__insort__key,axiom,
% 178.46/178.22 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_b)
% 178.46/178.22 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2))))
% 178.46/178.22 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_insort__insert__insort,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_b)
% 178.46/178.22 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__insort__insert,axiom,
% 178.46/178.22 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_c)
% 178.46/178.22 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 178.46/178.22 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_c,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_insort__insert__triv,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_b)
% 178.46/178.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__insort__insert,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_b)
% 178.46/178.22 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_insort__insert__key__triv,axiom,
% 178.46/178.22 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_b)
% 178.46/178.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2))))
% 178.46/178.22 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_last__list__update,axiom,
% 178.46/178.22 ! [V_x,V_k,T_a,V_xs] :
% 178.46/178.22 ( V_xs != c_List_Olist_ONil(T_a)
% 178.46/178.22 => ( ( 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))
% 178.46/178.22 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 178.46/178.22 & ( 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))
% 178.46/178.22 => 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) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_last__conv__nth,axiom,
% 178.46/178.22 ! [T_a,V_xs] :
% 178.46/178.22 ( V_xs != c_List_Olist_ONil(T_a)
% 178.46/178.22 => 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))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_last__ConsL,axiom,
% 178.46/178.22 ! [V_x,T_a,V_xs] :
% 178.46/178.22 ( V_xs = c_List_Olist_ONil(T_a)
% 178.46/178.22 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_last__ConsR,axiom,
% 178.46/178.22 ! [V_x,T_a,V_xs] :
% 178.46/178.22 ( V_xs != c_List_Olist_ONil(T_a)
% 178.46/178.22 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_last_Osimps,axiom,
% 178.46/178.22 ! [V_x,T_a,V_xs] :
% 178.46/178.22 ( ( V_xs = c_List_Olist_ONil(T_a)
% 178.46/178.22 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 178.46/178.22 & ( V_xs != c_List_Olist_ONil(T_a)
% 178.46/178.22 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_last__appendL,axiom,
% 178.46/178.22 ! [V_xs,T_a,V_ys] :
% 178.46/178.22 ( V_ys = c_List_Olist_ONil(T_a)
% 178.46/178.22 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_last__appendR,axiom,
% 178.46/178.22 ! [V_xs,T_a,V_ys] :
% 178.46/178.22 ( V_ys != c_List_Olist_ONil(T_a)
% 178.46/178.22 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_last__append,axiom,
% 178.46/178.22 ! [V_xs,T_a,V_ys] :
% 178.46/178.22 ( ( V_ys = c_List_Olist_ONil(T_a)
% 178.46/178.22 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 178.46/178.22 & ( V_ys != c_List_Olist_ONil(T_a)
% 178.46/178.22 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_last__in__set,axiom,
% 178.46/178.22 ! [T_b,V_as_2] :
% 178.46/178.22 ( V_as_2 != c_List_Olist_ONil(T_b)
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_last__snoc,axiom,
% 178.46/178.22 ! [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 ).
% 178.46/178.22
% 178.46/178.22 fof(fact_last__drop,axiom,
% 178.46/178.22 ! [V_xs,T_a,V_n] :
% 178.46/178.22 ( 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)))
% 178.46/178.22 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_snoc__eq__iff__butlast,axiom,
% 178.46/178.22 ! [V_ys_2,V_x_2,V_xs_2,T_b] :
% 178.46/178.22 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = V_ys_2
% 178.46/178.22 <=> ( V_ys_2 != c_List_Olist_ONil(T_b)
% 178.46/178.22 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2
% 178.46/178.22 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_append__butlast__last__id,axiom,
% 178.46/178.22 ! [T_a,V_xs] :
% 178.46/178.22 ( V_xs != c_List_Olist_ONil(T_a)
% 178.46/178.22 => 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 ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_lists_Osimps,axiom,
% 178.46/178.22 ! [V_A_2,V_a_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2)))
% 178.46/178.22 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 178.46/178.22 | ? [B_a,B_l] :
% 178.46/178.22 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l)
% 178.46/178.22 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 178.46/178.22 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_select__weigth__select,axiom,
% 178.46/178.22 ! [T_b,V_xs_2] :
% 178.46/178.22 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 178.46/178.22 => c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)) = c_Random_Oselect(T_b,V_xs_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_inj__mapI,axiom,
% 178.46/178.22 ! [V_f_2,T_c,T_b] :
% 178.46/178.22 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.46/178.22 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_last__map,axiom,
% 178.46/178.22 ! [V_f_2,T_c,T_b,V_xs_2] :
% 178.46/178.22 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 178.46/178.22 => c_List_Olast(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,c_List_Olast(T_b,V_xs_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_foldl__map,axiom,
% 178.46/178.22 ! [V_xs_2,V_f_2,T_d,V_a_2,V_g_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_g_2,V_a_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,T_b)),T_b),c_COMBB(T_c,T_b,T_d)),V_g_2)),V_f_2),V_a_2),V_xs_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_map__tl,axiom,
% 178.46/178.22 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Otl(T_c),V_xs_2)) = hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_rotate__map,axiom,
% 178.46/178.22 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(c_List_Orotate(T_b,V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orotate(T_c,V_n_2),V_xs_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_zip__map2,axiom,
% 178.46/178.22 ! [V_ys_2,V_f_2,T_d,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_d),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_d,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),T_b),c_COMBB(T_c,tc_prod(T_b,T_c),T_d)),c_Product__Type_OPair(T_b,T_c))),V_f_2))),hAPP(hAPP(c_List_Ozip(T_b,T_d),V_xs_2),V_ys_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_map__zip__map2,axiom,
% 178.46/178.22 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),hAPP(hAPP(c_List_Omap(T_e,T_d),V_g_2),V_ys_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_e),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_e,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_c,T_d)),tc_fun(T_e,T_b),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_e),V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),T_c),c_COMBB(T_d,tc_prod(T_c,T_d),T_e)),c_Product__Type_OPair(T_c,T_d))),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_c,T_e),V_xs_2),V_ys_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_map__zip__map,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,V_g_2,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_xs_2)),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_e,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_d,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_d),V_f_2)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_prod(T_c,T_d)),T_e),c_Product__Type_OPair(T_c,T_d)),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_e,T_d),V_xs_2),V_ys_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_zip__map1,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),V_ys_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_c),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),hAPP(hAPP(c_List_Ozip(T_d,T_c),V_xs_2),V_ys_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_zip__map__map,axiom,
% 178.46/178.22 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_e),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),T_d),c_COMBB(T_c,tc_prod(T_b,T_c),T_e)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),V_g_2))),hAPP(hAPP(c_List_Ozip(T_d,T_e),V_xs_2),V_ys_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_zip__same__conv__map,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))),V_xs_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_Nil__is__map__conv,axiom,
% 178.46/178.22 ! [V_xs_2,V_f_2,T_c,T_b] :
% 178.46/178.22 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)
% 178.46/178.22 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_map_Osimps_I1_J,axiom,
% 178.46/178.22 ! [V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_map__is__Nil__conv,axiom,
% 178.46/178.22 ! [V_xs_2,V_f_2,T_b,T_c] :
% 178.46/178.22 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 178.46/178.22 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_map__update,axiom,
% 178.46/178.22 ! [V_y_2,V_k_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist__update(T_c,V_xs_2),V_k_2),V_y_2)) = hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),V_k_2),hAPP(V_f_2,V_y_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_map__eq__conv,axiom,
% 178.46/178.22 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] :
% 178.46/178.22 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)
% 178.46/178.22 <=> ! [B_x] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 178.46/178.22 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__map,axiom,
% 178.46/178.22 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_map__eq__imp__length__eq,axiom,
% 178.46/178.22 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] :
% 178.46/178.22 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_ys_2)
% 178.46/178.22 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_ys_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsum__subtractf,axiom,
% 178.46/178.22 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 178.46/178.22 ( class_Groups_Oab__group__add(T_b)
% 178.46/178.22 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsum__0,axiom,
% 178.46/178.22 ! [V_xs_2,T_c,T_b] :
% 178.46/178.22 ( class_Groups_Omonoid__add(T_b)
% 178.46/178.22 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_xs_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsum__const__mult,axiom,
% 178.46/178.22 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] :
% 178.46/178.22 ( class_Rings_Osemiring__0(T_b)
% 178.46/178.22 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2)),V_f_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsum__mult__const,axiom,
% 178.46/178.22 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] :
% 178.46/178.22 ( class_Rings_Osemiring__0(T_b)
% 178.46/178.22 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_c_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),V_c_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsum__addf,axiom,
% 178.46/178.22 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 178.46/178.22 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.46/178.22 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_map__injective,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 178.46/178.22 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)
% 178.46/178.22 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 178.46/178.22 => V_xs_2 = V_ys_2 ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_inj__map__eq__map,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 178.46/178.22 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.46/178.22 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)
% 178.46/178.22 <=> V_xs_2 = V_ys_2 ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_map__ident,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ).
% 178.46/178.22
% 178.46/178.22 fof(fact_take__map,axiom,
% 178.46/178.22 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_xs_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_map__butlast,axiom,
% 178.46/178.22 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Obutlast(T_c,V_xs_2)) = c_List_Obutlast(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__map,axiom,
% 178.46/178.22 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_map_Osimps_I2_J,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_map__append,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_hd__map,axiom,
% 178.46/178.22 ! [V_f_2,T_c,T_b,V_xs_2] :
% 178.46/178.22 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 178.46/178.22 => hAPP(c_List_Ohd(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,hAPP(c_List_Ohd(T_b),V_xs_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_drop__map,axiom,
% 178.46/178.22 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_xs_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_List_Omap_Oidentity,axiom,
% 178.46/178.22 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_List_Omap_Oid,axiom,
% 178.46/178.22 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_map__map,axiom,
% 178.46/178.22 ! [V_xs_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_xs_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_List_Omap_Ocompositionality,axiom,
% 178.46/178.22 ! [V_list_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_list_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_list_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_map__comp__map,axiom,
% 178.46/178.22 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_List_Omap_Ocomp,axiom,
% 178.46/178.22 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__size__map,axiom,
% 178.46/178.22 ! [V_xs_2,V_g_2,T_c,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)) = c_List_Olist_Olist__size(T_c,hAPP(c_Fun_Ocomp(T_b,tc_Nat_Onat,T_c,V_f_2),V_g_2),V_xs_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_map__inj__on,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 178.46/178.22 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)
% 178.46/178.22 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),V_xs_2)),hAPP(c_List_Oset(T_c),V_ys_2)))
% 178.46/178.22 => V_xs_2 = V_ys_2 ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_inj__on__map__eq__map,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 178.46/178.22 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)))
% 178.46/178.22 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)
% 178.46/178.22 <=> V_xs_2 = V_ys_2 ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nth__map,axiom,
% 178.46/178.22 ! [V_f_2,T_c,V_xs_2,T_b,V_n_2] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.22 => hAPP(hAPP(c_List_Onth(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)),V_n_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_map__fun__upd,axiom,
% 178.46/178.22 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] :
% 178.46/178.22 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => hAPP(hAPP(c_List_Omap(T_b,T_c),c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_y_2,V_v_2)),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__map,axiom,
% 178.46/178.22 ! [V_xs_2,V_f_2,T_c,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 178.46/178.22 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 178.46/178.22 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsum__abs,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] :
% 178.46/178.22 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_b,T_b),c_Groups_Oabs__class_Oabs(T_b)),V_xs_2)))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_uminus__listsum__map,axiom,
% 178.46/178.22 ! [V_xs_2,V_f_2,T_c,T_b] :
% 178.46/178.22 ( class_Groups_Oab__group__add(T_b)
% 178.46/178.22 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_xs_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_inj__on__mapI,axiom,
% 178.46/178.22 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.46/178.22 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),V_A_2)))
% 178.46/178.22 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),V_A_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_inj__map,axiom,
% 178.46/178.22 ! [V_f_2,T_c,T_b] :
% 178.46/178.22 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))
% 178.46/178.22 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_inj__mapD,axiom,
% 178.46/178.22 ! [V_f_2,T_c,T_b] :
% 178.46/178.22 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))
% 178.46/178.22 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 178.46/178.22 ! [V_f_2,V_xs_2,T_b,T_c] :
% 178.46/178.22 ( class_Groups_Ocomm__monoid__add(T_c)
% 178.46/178.22 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 178.46/178.22 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsum__triv,axiom,
% 178.46/178.22 ! [V_xs_2,V_r_2,T_c,T_b] :
% 178.46/178.22 ( class_Rings_Osemiring__1(T_b)
% 178.46/178.22 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_r_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2))),V_r_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsum__map__remove1,axiom,
% 178.46/178.22 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] :
% 178.46/178.22 ( class_Groups_Ocomm__monoid__add(T_c)
% 178.46/178.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 178.46/178.22 ! [V_f_2,V_A_2,T_b,T_c] :
% 178.46/178.22 ( class_Groups_Ocomm__monoid__add(T_c)
% 178.46/178.22 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.46/178.22 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b))))) )
% 178.46/178.22 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.46/178.22 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_pick__same,axiom,
% 178.46/178.22 ! [V_xs_2,T_b,V_l_2] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_l_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.22 => hAPP(c_Random_Opick(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)),hAPP(c_Code__Numeral_Oof__nat,V_l_2)) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_l_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_zero__code__numeral__def,axiom,
% 178.46/178.22 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 178.46/178.22 ! [V_m_2,V_n_2] :
% 178.46/178.22 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 178.46/178.22 <=> V_n_2 = V_m_2 ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 178.46/178.22 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_times__code__numeral__code,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_one__code__numeral__def,axiom,
% 178.46/178.22 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_less__code__numeral__code,axiom,
% 178.46/178.22 ! [V_m_2,V_n_2] :
% 178.46/178.22 ( 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)))
% 178.46/178.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 178.46/178.22 ! [V_y_2,V_x_2] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 178.46/178.22 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 178.46/178.22 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 178.46/178.22 <=> V_x_2 = V_y_2 ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_map__fst__zip,axiom,
% 178.46/178.22 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 178.46/178.22 ( 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)
% 178.46/178.22 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_xs_2 ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_map__snd__zip,axiom,
% 178.46/178.22 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 178.46/178.22 ( 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)
% 178.46/178.22 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_ys_2 ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_number__of__code__numeral__def,axiom,
% 178.46/178.22 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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_zip__map__fst__snd,axiom,
% 178.46/178.22 ! [V_zs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2)),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2)) = V_zs_2 ).
% 178.46/178.22
% 178.46/178.22 fof(fact_plus__code__numeral__code,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_less__eq__code__numeral__code,axiom,
% 178.46/178.22 ! [V_m_2,V_n_2] :
% 178.46/178.22 ( 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)))
% 178.46/178.22 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_subtract__code__numeral__code,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_pick__member,axiom,
% 178.46/178.22 ! [V_xs_2,T_b,V_i_2] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i_2),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2))))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Random_Opick(T_b,V_xs_2),V_i_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_zip__eq__conv,axiom,
% 178.46/178.22 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] :
% 178.46/178.22 ( 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)
% 178.46/178.22 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2
% 178.46/178.22 <=> ( hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2) = V_xs_2
% 178.46/178.22 & hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2) = V_ys_2 ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__size__conv__listsum,axiom,
% 178.46/178.22 ! [V_xs_2,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(T_b,tc_Nat_Onat),V_f_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_code__numeral__not__eq__zero,axiom,
% 178.46/178.22 ! [V_i_2] :
% 178.46/178.22 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 178.46/178.22 <=> 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)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 178.46/178.22 ! [V_j_2,V_i_2,V_f_2,T_b] :
% 178.46/178.22 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.46/178.22 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_i_2,V_j_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 178.46/178.22 ! [V_l_2,V_k_2,V_f_2,T_b] :
% 178.46/178.22 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.46/178.22 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_k_2,V_l_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_k_2,V_l_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_select__weight__member,axiom,
% 178.46/178.22 ! [V_s_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2))))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect__weight(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_select__weight__def,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Opick(T_b,V_xs_2))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_select__def,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] : c_Random_Oselect(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Code__Numeral_Ocode__numeral),hAPP(c_List_Onth(T_b),V_xs_2)),c_Code__Numeral_Onat__of))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsum__mono,axiom,
% 178.46/178.22 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] :
% 178.46/178.22 ( ( class_Groups_Omonoid__add(T_c)
% 178.46/178.22 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 178.46/178.22 => ( ! [B_x] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_g_2),V_xs_2)))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nat__of__of__nat,axiom,
% 178.46/178.22 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 178.46/178.22
% 178.46/178.22 fof(fact_of__nat__nat__of,axiom,
% 178.46/178.22 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nat__of__inverse,axiom,
% 178.46/178.22 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 178.46/178.22
% 178.46/178.22 fof(fact_times__code__numeral__def,axiom,
% 178.46/178.22 ! [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))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_code__numeral_Onat__of__inject,axiom,
% 178.46/178.22 ! [V_y_2,V_x_2] :
% 178.46/178.22 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 178.46/178.22 <=> V_x_2 = V_y_2 ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 178.46/178.22 ! [V_l_2,V_k_2] :
% 178.46/178.22 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 178.46/178.22 <=> V_k_2 = V_l_2 ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_type__definition__code__numeral,axiom,
% 178.46/178.22 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))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_less__code__numeral__def,axiom,
% 178.46/178.22 ! [V_m_2,V_n_2] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 178.46/178.22 <=> 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))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nat__of,axiom,
% 178.46/178.22 ! [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)))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nat__of__number,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_int__of__def,axiom,
% 178.46/178.22 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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_less__eq__code__numeral__def,axiom,
% 178.46/178.22 ! [V_m_2,V_n_2] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 178.46/178.22 <=> 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))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nat__of__code,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nat__of__aux__def,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_Suc__code__numeral__def,axiom,
% 178.46/178.22 ! [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))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_minus__code__numeral__def,axiom,
% 178.46/178.22 ! [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))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_of__nat__inverse,axiom,
% 178.46/178.22 ! [V_y_2] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 178.46/178.22 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_plus__code__numeral__def,axiom,
% 178.46/178.22 ! [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))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_div__code__numeral__def,axiom,
% 178.46/178.22 ! [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))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_mod__code__numeral__def,axiom,
% 178.46/178.22 ! [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))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_code__numeral__decr,axiom,
% 178.46/178.22 ! [V_k] :
% 178.46/178.22 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 178.46/178.22 => 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))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 178.46/178.22 ! [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))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_partition__set,axiom,
% 178.46/178.22 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 178.46/178.22 ( c_List_Opartition(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2)
% 178.46/178.22 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_yes_2)),hAPP(c_List_Oset(T_b),V_no_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_partition__P,axiom,
% 178.46/178.22 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 178.46/178.22 ( c_List_Opartition(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2)
% 178.46/178.22 => ( ! [B_x] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2)))
% 178.46/178.22 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 178.46/178.22 & ! [B_x] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2)))
% 178.46/178.22 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_partition_Osimps_I1_J,axiom,
% 178.46/178.22 ! [V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_partition_Osimps_I2_J,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),hAPP(c_If(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(V_Pa_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_List_Olist_OCons(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_List_Olist(T_b))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_lists__IntI,axiom,
% 178.46/178.22 ! [V_B_2,V_A_2,V_l_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2)))
% 178.46/178.22 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2)))
% 178.46/178.22 => hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_l_2)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_lists__Int__eq,axiom,
% 178.46/178.22 ! [V_B_2,V_A_2,T_b] : c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),c_List_Olists(T_b,V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),c_List_Olists(T_b,V_B_2))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsp_ONil,axiom,
% 178.46/178.22 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsp_Oequations_I1_J,axiom,
% 178.46/178.22 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_in__listsp__conv__set,axiom,
% 178.46/178.22 ! [V_xs_2,V_A_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 178.46/178.22 <=> ! [B_x] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsp__conj__eq,axiom,
% 178.46/178.22 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_A_2)),V_B_2)),V_x_2))
% 178.46/178.22 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2))
% 178.46/178.22 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsp__inf__eq,axiom,
% 178.46/178.22 ! [V_B_2,V_A_2,T_b] : c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olistsp(T_b,V_A_2)),c_List_Olistsp(T_b,V_B_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsp__infI,axiom,
% 178.46/178.22 ! [V_B_2,V_l_2,V_A_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2))
% 178.46/178.22 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2))
% 178.46/178.22 => hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_l_2)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsp_Oequations_I2_J,axiom,
% 178.46/178.22 ! [V_a2_2,V_a1_2,V_A_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2)))
% 178.46/178.22 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 178.46/178.22 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_append__in__listsp__conv,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,V_A_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 178.46/178.22 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 178.46/178.22 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsp__mono,axiom,
% 178.46/178.22 ! [V_B_2,V_A_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olistsp(T_b,V_A_2)),c_List_Olistsp(T_b,V_B_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_listsp__lists__eq,axiom,
% 178.46/178.22 ! [V_x_2,V_A_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2))
% 178.46/178.22 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_product_Osimps_I2_J,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : c_Enum_Oproduct(T_b,T_c,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Omap(T_c,tc_prod(T_b,T_c)),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)),V_ys_2)),c_Enum_Oproduct(T_b,T_c,V_xs_2,V_ys_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__all2__def,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 178.46/178.22 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 178.46/178.22 <=> ( 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)
% 178.46/178.22 & ! [B_x] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__all2__map1,axiom,
% 178.46/178.22 ! [V_bs_2,V_as_2,V_f_2,T_d,V_Pa_2,T_c,T_b] :
% 178.46/178.22 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_as_2),V_bs_2)
% 178.46/178.22 <=> c_List_Olist__all2(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),V_Pa_2),V_f_2),V_as_2,V_bs_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__all2__map2,axiom,
% 178.46/178.22 ! [V_bs_2,V_f_2,T_d,V_as_2,V_Pa_2,T_c,T_b] :
% 178.46/178.22 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_bs_2))
% 178.46/178.22 <=> c_List_Olist__all2(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_d)),V_Pa_2)),V_f_2),V_as_2,V_bs_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__all2__dropI,axiom,
% 178.46/178.22 ! [V_n_2,V_bs_2,V_as_2,V_Pa_2,T_c,T_b] :
% 178.46/178.22 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,V_bs_2)
% 178.46/178.22 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_as_2),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_bs_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__all2__appendI,axiom,
% 178.46/178.22 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_Pa_2,T_c,T_b] :
% 178.46/178.22 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2)
% 178.46/178.22 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_c_2,V_d_2)
% 178.46/178.22 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_a_2),V_c_2),hAPP(hAPP(c_List_Oappend(T_c),V_b_2),V_d_2)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__all2__append,axiom,
% 178.46/178.22 ! [V_vs_2,V_us_2,V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 178.46/178.22 ( 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)
% 178.46/178.22 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2),hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),V_vs_2))
% 178.46/178.22 <=> ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 178.46/178.22 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_us_2,V_vs_2) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__all2__Cons,axiom,
% 178.46/178.22 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_Pa_2,T_c,T_b] :
% 178.46/178.22 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2))
% 178.46/178.22 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 178.46/178.22 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__all2__takeI,axiom,
% 178.46/178.22 ! [V_n_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 178.46/178.22 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 178.46/178.22 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_ys_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__all2__eq,axiom,
% 178.46/178.22 ! [T_b,V_ys_2,V_xs_2] :
% 178.46/178.22 ( V_xs_2 = V_ys_2
% 178.46/178.22 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__all2__lengthD,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 178.46/178.22 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 178.46/178.22 => 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) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__all2__Nil2,axiom,
% 178.46/178.22 ! [V_xs_2,V_Pa_2,T_c,T_b] :
% 178.46/178.22 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,c_List_Olist_ONil(T_c))
% 178.46/178.22 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__all2__Nil,axiom,
% 178.46/178.22 ! [V_ys_2,V_Pa_2,T_c,T_b] :
% 178.46/178.22 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,c_List_Olist_ONil(T_b),V_ys_2)
% 178.46/178.22 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_product_Osimps_I1_J,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__all2__nthD2,axiom,
% 178.46/178.22 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 178.46/178.22 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 178.46/178.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))
% 178.46/178.22 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__all2__nthD,axiom,
% 178.46/178.22 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 178.46/178.22 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 178.46/178.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.22 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__all2__conv__all__nth,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 178.46/178.22 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 178.46/178.22 <=> ( 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)
% 178.46/178.22 & ! [B_i] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.22 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),B_i))) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__all2__update__cong2,axiom,
% 178.46/178.22 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 178.46/178.22 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 178.46/178.22 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 178.46/178.22 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))
% 178.46/178.22 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__all2__update__cong,axiom,
% 178.46/178.22 ! [V_y_2,V_x_2,V_ys_2,V_Pa_2,T_c,V_xs_2,T_b,V_i_2] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.22 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 178.46/178.22 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 178.46/178.22 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__product,axiom,
% 178.46/178.22 ! [V_ys,T_b,V_xs,T_a] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 178.46/178.22 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 178.46/178.22 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_product__list__set,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),c_Enum_Oproduct(T_b,T_c,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_List_Oset(T_c),V_ys_2))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_sublists__powset,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] : hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_Osublists(T_b,V_xs_2))) = hAPP(c_Set_OPow(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__sublists,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_sublists_Osimps_I1_J,axiom,
% 178.46/178.22 ! [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))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_sublists_Osimps_I2_J,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,T_b] : c_Enum_Osublists(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_Enum_Osublists(T_b,V_xs_2)),hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(T_b)),tc_fun(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(tc_List_Olist(T_b))),c_List_Oappend(tc_List_Olist(T_b))),hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_COMBI(tc_List_Olist(tc_List_Olist(T_b))))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__set__sublists,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 178.46/178.22 => hBOOL(hAPP(c_List_Odistinct(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),c_List_Oset(T_b)),c_Enum_Osublists(T_b,V_xs_2)))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__n__lists,axiom,
% 178.46/178.22 ! [V_xs_2,V_n_2,T_b] : hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_n_2,V_xs_2)) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),hAPP(c_List_Oset(T_b),V_xs_2)))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_enum__the__def,axiom,
% 178.46/178.22 ! [V_Pa_2,T_b] : c_Enum_Oenum__the(T_b,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__n__lists,axiom,
% 178.46/178.22 ! [V_n,V_xs,T_a] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 178.46/178.22 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_n__lists_Osimps_I1_J,axiom,
% 178.46/178.22 ! [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))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_n__lists__Nil,axiom,
% 178.46/178.22 ! [T_a,V_n] :
% 178.46/178.22 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.22 => 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))) )
% 178.46/178.22 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.22 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__n__lists,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__n__lists__elem,axiom,
% 178.46/178.22 ! [V_xs_2,V_n_2,V_ys_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_n_2,V_xs_2))))
% 178.46/178.22 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_list__all2I,axiom,
% 178.46/178.22 ! [V_Pa_2,V_b_2,V_a_2,T_c,T_b] :
% 178.46/178.22 ( ! [B_x] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_a_2),V_b_2))))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) )
% 178.46/178.22 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_b_2)
% 178.46/178.22 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_all__nth__imp__all__set,axiom,
% 178.46/178.22 ! [V_x_2,V_Pa_2,V_xs_2,T_b] :
% 178.46/178.22 ( ! [B_i] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.22 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 178.46/178.22 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 178.46/178.22 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 178.46/178.22 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 178.46/178.22 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),c_List_Oremdups(T_b,V_xs_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_map__removeAll__inj__on,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 178.46/178.22 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_c,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__remdups,axiom,
% 178.46/178.22 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__remdups__leq,axiom,
% 178.46/178.22 ! [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))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_remdups__id__iff__distinct,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] :
% 178.46/178.22 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2
% 178.46/178.22 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__removeAll,axiom,
% 178.46/178.22 ! [V_x,V_xs,T_a] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 178.46/178.22 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__remdups__id,axiom,
% 178.46/178.22 ! [V_xs,T_a] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 178.46/178.22 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__remdups,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__remdups__eq,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] :
% 178.46/178.22 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 178.46/178.22 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_remdups__remdups,axiom,
% 178.46/178.22 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_remdups_Osimps_I1_J,axiom,
% 178.46/178.22 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_remdups__eq__nil__right__iff,axiom,
% 178.46/178.22 ! [V_x_2,T_b] :
% 178.46/178.22 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2)
% 178.46/178.22 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_removeAll_Osimps_I1_J,axiom,
% 178.46/178.22 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_remdups__eq__nil__iff,axiom,
% 178.46/178.22 ! [V_x_2,T_b] :
% 178.46/178.22 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b)
% 178.46/178.22 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_removeAll_Osimps_I2_J,axiom,
% 178.46/178.22 ! [V_xs,T_a,V_y,V_x] :
% 178.46/178.22 ( ( V_x = V_y
% 178.46/178.22 => 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) )
% 178.46/178.22 & ( V_x != V_y
% 178.46/178.22 => 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)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_removeAll__append,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_remdups__map__remdups,axiom,
% 178.46/178.22 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremdups(T_c,V_xs_2))) = c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_remove1__remdups,axiom,
% 178.46/178.22 ! [V_x,V_xs,T_a] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 178.46/178.22 => 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)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_removeAll__id,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__remove1__removeAll,axiom,
% 178.46/178.22 ! [V_x,V_xs,T_a] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 178.46/178.22 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_remdups_Osimps_I2_J,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.22 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Oremdups(T_b,V_xs_2) )
% 178.46/178.22 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oremdups(T_b,V_xs_2)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__remdups__card__conv,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_map__removeAll__inj,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 178.46/178.22 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.46/178.22 => hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_c,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__removeAll,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__remdups__concat,axiom,
% 178.46/178.22 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,c_List_Oconcat(T_b,V_xss_2))) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)),c_List_Oset(T_b))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_b)
% 178.46/178.22 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),c_List_Oremdups(T_b,V_xs_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_sort__key__simps_I1_J,axiom,
% 178.46/178.22 ! [V_f_2,T_b,T_c] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_c)
% 178.46/178.22 => c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_foldl__conv__concat,axiom,
% 178.46/178.22 ! [V_xss_2,V_xs_2,T_b] : hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),V_xs_2),V_xss_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oconcat(T_b,V_xss_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_concat__conv__foldl,axiom,
% 178.46/178.22 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,V_xss_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),c_List_Olist_ONil(T_b)),V_xss_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__sort,axiom,
% 178.46/178.22 ! [V_xs_2,V_f_2,T_b,T_c] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_c)
% 178.46/178.22 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__sort,axiom,
% 178.46/178.22 ! [V_xs_2,V_f_2,T_b,T_c] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_c)
% 178.46/178.22 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__sort,axiom,
% 178.46/178.22 ! [V_xs_2,V_f_2,T_b,T_c] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_c)
% 178.46/178.22 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)))
% 178.46/178.22 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_concat_Osimps_I1_J,axiom,
% 178.46/178.22 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_concat_Osimps_I2_J,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_Nil__eq__concat__conv,axiom,
% 178.46/178.22 ! [V_xss_2,T_b] :
% 178.46/178.22 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2)
% 178.46/178.22 <=> ! [B_x] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 178.46/178.22 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_concat__eq__Nil__conv,axiom,
% 178.46/178.22 ! [V_xss_2,T_b] :
% 178.46/178.22 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b)
% 178.46/178.22 <=> ! [B_x] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 178.46/178.22 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_map__concat,axiom,
% 178.46/178.22 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oconcat(T_c,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__concat,axiom,
% 178.46/178.22 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oconcat(T_b,V_xss_2)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xss_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_set__concat,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oconcat(T_b,V_xs_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)),c_List_Oset(T_b)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_sort__key__simps_I2_J,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_c)
% 178.46/178.22 => c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_concat__append,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_sort__foldl__insort,axiom,
% 178.46/178.22 ! [V_xs_2,T_b] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_b)
% 178.46/178.22 => c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))),c_List_Olist_ONil(T_b)),V_xs_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_concat__injective,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,T_b] :
% 178.46/178.22 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 178.46/178.22 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2)
% 178.46/178.22 => ( ! [B_x] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2))))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) )
% 178.46/178.22 => V_xs_2 = V_ys_2 ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_concat__eq__concat__iff,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,T_b] :
% 178.46/178.22 ( ! [B_x] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2))))
% 178.46/178.22 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) )
% 178.46/178.22 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2)
% 178.46/178.22 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 178.46/178.22 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_concat__map__singleton,axiom,
% 178.46/178.22 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_c),c_List_Olist_OCons(T_b)),V_f_2)),c_List_Olist_ONil(T_b))),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_n__lists_Osimps_I2_J,axiom,
% 178.46/178.22 ! [V_xs_2,V_n_2,T_b] : c_Enum_On__lists(T_b,hAPP(c_Nat_OSuc,V_n_2),V_xs_2) = c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_List_Omap(T_b,tc_List_Olist(T_b))),hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),V_xs_2)),c_Enum_On__lists(T_b,V_n_2,V_xs_2))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_transpose_Osimps_I3_J,axiom,
% 178.46/178.22 ! [V_xss_2,V_xs_2,V_x_2,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_transpose__aux__filter__head,axiom,
% 178.46/178.22 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),c_List_Ohd(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_filter__concat,axiom,
% 178.46/178.22 ! [V_xs_2,V_p_2,T_b] : hAPP(c_List_Ofilter(T_b,V_p_2),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Ofilter(T_b,V_p_2)),V_xs_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_filter__sort,axiom,
% 178.46/178.22 ! [V_xs_2,V_f_2,V_Pa_2,T_b,T_c] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_c)
% 178.46/178.22 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_distinct__filter,axiom,
% 178.46/178.22 ! [V_Pa_2,V_xs_2,T_b] :
% 178.46/178.22 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 178.46/178.22 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_filter__is__subset,axiom,
% 178.46/178.22 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_filter__id__conv,axiom,
% 178.46/178.22 ! [V_xs_2,V_Pa_2,T_b] :
% 178.46/178.22 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = V_xs_2
% 178.46/178.22 <=> ! [B_x] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_length__filter__le,axiom,
% 178.46/178.22 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_sum__length__filter__compl,axiom,
% 178.46/178.22 ! [V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_filter__filter,axiom,
% 178.46/178.22 ! [V_xs_2,V_Qa_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(c_List_Ofilter(T_b,V_Qa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Qa_2)),V_Pa_2)),V_xs_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_remove1__filter__not,axiom,
% 178.46/178.22 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 178.46/178.22 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 178.46/178.22 => c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_filter__remove1,axiom,
% 178.46/178.22 ! [V_xs_2,V_x_2,V_Qa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Qa_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Qa_2),V_xs_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_filter__insort__triv,axiom,
% 178.46/178.22 ! [V_xs_2,V_f_2,T_b,V_x_2,V_Pa_2,T_c] :
% 178.46/178.22 ( class_Orderings_Olinorder(T_c)
% 178.46/178.22 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 178.46/178.22 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_partition__filter1,axiom,
% 178.46/178.22 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_filter__map,axiom,
% 178.46/178.22 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2)),V_xs_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_transpose_Osimps_I1_J,axiom,
% 178.46/178.22 ! [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)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_filter_Osimps_I1_J,axiom,
% 178.46/178.22 ! [V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_filter_Osimps_I2_J,axiom,
% 178.46/178.22 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 178.46/178.22 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 178.46/178.22 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) )
% 178.46/178.22 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 178.46/178.22 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_filter__append,axiom,
% 178.46/178.22 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_filter__empty__conv,axiom,
% 178.46/178.22 ! [V_xs_2,V_Pa_2,T_b] :
% 178.46/178.22 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 178.46/178.22 <=> ! [B_x] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.22 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_removeAll__filter__not,axiom,
% 178.46/178.22 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 178.46/178.22 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 178.46/178.22 => hAPP(c_List_OremoveAll(T_b,V_x_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_remdups__filter,axiom,
% 178.46/178.22 ! [V_xs_2,V_Pa_2,T_b] : c_List_Oremdups(T_b,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oremdups(T_b,V_xs_2)) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_removeAll__filter__not__eq,axiom,
% 178.46/178.22 ! [V_x_2,T_b] : c_List_OremoveAll(T_b,V_x_2) = c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(c_fequal,V_x_2))) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_partition__filter2,axiom,
% 178.46/178.22 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_Pa_2)),V_xs_2) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_transpose_Osimps_I2_J,axiom,
% 178.46/178.22 ! [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) ).
% 178.46/178.22
% 178.46/178.22 fof(fact_nth__transpose,axiom,
% 178.46/178.22 ! [V_xs_2,T_b,V_i_2] :
% 178.46/178.22 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2))))
% 178.46/178.22 => hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_transpose__map__map,axiom,
% 178.46/178.23 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),c_List_Otranspose(T_c,V_xs_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_set__filter,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)))),V_Pa_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_length__filter__map,axiom,
% 178.46/178.23 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2)),V_xs_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_length__filter__less,axiom,
% 178.46/178.23 ! [V_Pa_2,V_xs_2,V_x_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 178.46/178.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_partition__filter__conv,axiom,
% 178.46/178.23 ! [V_xs_2,V_f_2,T_b] : c_List_Opartition(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_f_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_f_2)),V_xs_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_set__minus__filter__out,axiom,
% 178.46/178.23 ! [V_y_2,V_xs_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_y_2))),V_xs_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_filter__in__sublist,axiom,
% 178.46/178.23 ! [V_s_2,V_xs_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 178.46/178.23 => hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_s_2)))),V_xs_2) = c_List_Osublist(T_b,V_xs_2,V_s_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_transpose__empty,axiom,
% 178.46/178.23 ! [V_xs_2,T_b] :
% 178.46/178.23 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b))
% 178.46/178.23 <=> ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.23 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_length__filter__conv__card,axiom,
% 178.46/178.23 ! [V_xs_2,V_p_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_p_2),V_xs_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat),V_p_2),hAPP(c_List_Onth(T_b),V_xs_2))))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_transpose__aux__filter__tail,axiom,
% 178.46/178.23 ! [V_xss_2,T_b] : c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otl(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_transpose_Opsimps_I3_J,axiom,
% 178.46/178.23 ! [V_xss_2,V_xs_2,V_x_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)))
% 178.46/178.23 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_transpose_Opsimps_I2_J,axiom,
% 178.46/178.23 ! [V_xss_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2)))
% 178.46/178.23 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2)) = c_List_Otranspose(T_b,V_xss_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sublist__shift__lemma__Suc,axiom,
% 178.46/178.23 ! [V_is_2,V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_Pa_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_b,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_b,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_Pa_2),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_select__weigth__drop__zero,axiom,
% 178.46/178.23 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_pick__drop__zero,axiom,
% 178.46/178.23 ! [V_xs_2,T_b] : c_Random_Opick(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Opick(T_b,V_xs_2) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_transpose_Opsimps_I1_J,axiom,
% 178.46/178.23 ! [T_b] :
% 178.46/178.23 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),c_List_Olist_ONil(tc_List_Olist(T_b))))
% 178.46/178.23 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_transpose__max__length,axiom,
% 178.46/178.23 ! [V_xs_2,T_b] : c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xs_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_transpose__aux__max,axiom,
% 178.46/178.23 ! [V_xss_2,T_c,V_xs_2,T_b] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))),V_xss_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_List_Ofilter(tc_List_Olist(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_c)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_c)))),V_xss_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_foldr_Osimps_I1_J,axiom,
% 178.46/178.23 ! [V_a_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c),V_a_2) = V_a_2 ).
% 178.46/178.23
% 178.46/178.23 fof(fact_foldr_Osimps_I2_J,axiom,
% 178.46/178.23 ! [V_a_2,V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2),V_a_2) = hAPP(hAPP(V_f_2,V_x_2),c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_foldr__append,axiom,
% 178.46/178.23 ! [V_a_2,V_ys_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2),V_a_2) = c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,c_List_Ofoldr(T_c,T_b,V_f_2,V_ys_2,V_a_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_foldr__conv__foldl,axiom,
% 178.46/178.23 ! [V_a_2,V_xs_2,T_b] :
% 178.46/178.23 ( class_Groups_Oab__semigroup__add(T_b)
% 178.46/178.23 => c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_foldr__map,axiom,
% 178.46/178.23 ! [V_a_2,V_xs_2,V_f_2,T_d,V_g_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_g_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2),V_a_2) = c_List_Ofoldr(T_d,T_b,hAPP(c_Fun_Ocomp(T_c,tc_fun(T_b,T_b),T_d,V_g_2),V_f_2),V_xs_2,V_a_2) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_foldl__foldr1__lemma,axiom,
% 178.46/178.23 ! [V_xs_2,V_a_2,T_b] :
% 178.46/178.23 ( class_Groups_Omonoid__add(T_b)
% 178.46/178.23 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_foldl__foldr1,axiom,
% 178.46/178.23 ! [V_xs_2,T_b] :
% 178.46/178.23 ( class_Groups_Omonoid__add(T_b)
% 178.46/178.23 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_xs_2) = c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_length__transpose,axiom,
% 178.46/178.23 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sublist__def,axiom,
% 178.46/178.23 ! [V_A_2,V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,V_A_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sublist__shift__lemma,axiom,
% 178.46/178.23 ! [V_i_2,V_xs_2,V_A_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(V_i_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_prod(T_b,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_i_2))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_set__upt,axiom,
% 178.46/178.23 ! [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) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_atLeastLessThan__upt,axiom,
% 178.46/178.23 ! [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)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_upt__Suc,axiom,
% 178.46/178.23 ! [V_j,V_i] :
% 178.46/178.23 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 178.46/178.23 => 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))) )
% 178.46/178.23 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 178.46/178.23 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_upt__Suc__append,axiom,
% 178.46/178.23 ! [V_j,V_i] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 178.46/178.23 => 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))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_upt__add__eq__append,axiom,
% 178.46/178.23 ! [V_k,V_j,V_i] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 178.46/178.23 => 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))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_upt__rec,axiom,
% 178.46/178.23 ! [V_j,V_i] :
% 178.46/178.23 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 178.46/178.23 => 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)) )
% 178.46/178.23 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 178.46/178.23 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_upt__conv__Cons,axiom,
% 178.46/178.23 ! [V_j,V_i] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 178.46/178.23 => 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)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_upt__conv__Nil,axiom,
% 178.46/178.23 ! [V_i,V_j] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 178.46/178.23 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_upt__eq__Nil__conv,axiom,
% 178.46/178.23 ! [V_j_2,V_i_2] :
% 178.46/178.23 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 178.46/178.23 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.23 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_upt__0,axiom,
% 178.46/178.23 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_take__upt,axiom,
% 178.46/178.23 ! [V_n,V_m,V_i] :
% 178.46/178.23 ( 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))
% 178.46/178.23 => 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)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__list__of__set__range,axiom,
% 178.46/178.23 ! [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) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_hd__upt,axiom,
% 178.46/178.23 ! [V_j,V_i] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 178.46/178.23 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_drop__upt,axiom,
% 178.46/178.23 ! [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) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_distinct__upt,axiom,
% 178.46/178.23 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_length__upt,axiom,
% 178.46/178.23 ! [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) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_upt__rec__number__of,axiom,
% 178.46/178.23 ! [V_n,V_m] :
% 178.46/178.23 ( ( 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)))
% 178.46/178.23 => 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))) )
% 178.46/178.23 & ( ~ 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)))
% 178.46/178.23 => 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) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_upt__eq__Cons__conv,axiom,
% 178.46/178.23 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 178.46/178.23 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 178.46/178.23 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 178.46/178.23 & V_i_2 = V_x_2
% 178.46/178.23 & 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 ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_last__upt,axiom,
% 178.46/178.23 ! [V_j,V_i] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 178.46/178.23 => 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)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_map__Suc__upt,axiom,
% 178.46/178.23 ! [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)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_atLeastAtMost__upt,axiom,
% 178.46/178.23 ! [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))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_atLeast__upt,axiom,
% 178.46/178.23 ! [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)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_nth__upt,axiom,
% 178.46/178.23 ! [V_j,V_k,V_i] :
% 178.46/178.23 ( 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))
% 178.46/178.23 => 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) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_greaterThanAtMost__upt,axiom,
% 178.46/178.23 ! [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))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_greaterThanLessThan__upt,axiom,
% 178.46/178.23 ! [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)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_atMost__upto,axiom,
% 178.46/178.23 ! [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))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_map__nth,axiom,
% 178.46/178.23 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) = V_xs_2 ).
% 178.46/178.23
% 178.46/178.23 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 178.46/178.23 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 178.46/178.23 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.46/178.23 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 178.46/178.23 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 178.46/178.23 ( class_Groups_Ocomm__monoid__add(T_b)
% 178.46/178.23 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_nth__map__upt,axiom,
% 178.46/178.23 ! [V_f_2,T_b,V_m_2,V_n_2,V_i_2] :
% 178.46/178.23 ( 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)))
% 178.46/178.23 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_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)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_transpose__rectangle,axiom,
% 178.46/178.23 ! [V_n_2,T_b,V_xs_2] :
% 178.46/178.23 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 178.46/178.23 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 178.46/178.23 => ( ! [B_i] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 178.46/178.23 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),B_i)) = V_n_2 )
% 178.46/178.23 => c_List_Otranspose(T_b,V_xs_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,T_b)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_Nat_Onat,T_b),tc_Nat_Onat),c_List_Onth(T_b)),hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2))))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_insort__key__remove1,axiom,
% 178.46/178.23 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_c)
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 178.46/178.23 => ( hAPP(c_List_Ohd(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),hAPP(c_fequal,hAPP(V_f_2,V_a_2))),V_f_2)),V_xs_2)) = V_a_2
% 178.46/178.23 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted_ONil,axiom,
% 178.46/178.23 ! [T_a] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_a)
% 178.46/178.23 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__single,axiom,
% 178.46/178.23 ! [V_x,T_a] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_a)
% 178.46/178.23 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__upt,axiom,
% 178.46/178.23 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__sort,axiom,
% 178.46/178.23 ! [V_xs_2,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__insort__insert,axiom,
% 178.46/178.23 ! [V_x_2,V_xs_2,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 178.46/178.23 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__drop,axiom,
% 178.46/178.23 ! [V_n,V_xs,T_a] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_a)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 178.46/178.23 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__upto,axiom,
% 178.46/178.23 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__take,axiom,
% 178.46/178.23 ! [V_n,V_xs,T_a] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_a)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 178.46/178.23 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__remove1,axiom,
% 178.46/178.23 ! [V_a,V_xs,T_a] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_a)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 178.46/178.23 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__tl,axiom,
% 178.46/178.23 ! [V_xs,T_a] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_a)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 178.46/178.23 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__insort,axiom,
% 178.46/178.23 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2))
% 178.46/178.23 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__butlast,axiom,
% 178.46/178.23 ! [V_xs,T_a] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_a)
% 178.46/178.23 => ( V_xs != c_List_Olist_ONil(T_a)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 178.46/178.23 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted_Oequations_I1_J,axiom,
% 178.46/178.23 ! [T_a] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_a)
% 178.46/178.23 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__many__eq,axiom,
% 178.46/178.23 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)))
% 178.46/178.23 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 178.46/178.23 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__many,axiom,
% 178.46/178.23 ! [V_zs,V_y,V_x,T_a] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_a)
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 178.46/178.23 => 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))) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__remdups,axiom,
% 178.46/178.23 ! [V_l,T_a] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_a)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 178.46/178.23 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__distinct__set__unique,axiom,
% 178.46/178.23 ! [V_ys_2,V_xs_2,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 178.46/178.23 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 178.46/178.23 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 178.46/178.23 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 178.46/178.23 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__sort__key,axiom,
% 178.46/178.23 ! [V_xs_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Osort__key(T_c,T_b,V_f_2,V_xs_2))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__insort__insert__key,axiom,
% 178.46/178.23 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 178.46/178.23 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__map__remove1,axiom,
% 178.46/178.23 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 178.46/178.23 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremove1(T_c,V_x_2,V_xs_2))) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__insort__key,axiom,
% 178.46/178.23 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)))
% 178.46/178.23 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__filter,axiom,
% 178.46/178.23 ! [V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 178.46/178.23 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2))) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__map__same,axiom,
% 178.46/178.23 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_c),c_fequal),V_f_2)),hAPP(V_g_2,V_xs_2))),V_xs_2))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__same,axiom,
% 178.46/178.23 ! [V_xs_2,V_g_2,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),hAPP(V_g_2,V_xs_2))),V_xs_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__Cons,axiom,
% 178.46/178.23 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 178.46/178.23 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 178.46/178.23 & ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__append,axiom,
% 178.46/178.23 ! [V_ys_2,V_xs_2,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 178.46/178.23 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 178.46/178.23 & c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 178.46/178.23 & ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => ! [B_xa] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2)))
% 178.46/178.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_filter__insort,axiom,
% 178.46/178.23 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 178.46/178.23 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 178.46/178.23 => hAPP(c_List_Ofilter(T_c,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2)) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted_Oequations_I2_J,axiom,
% 178.46/178.23 ! [V_a1_2,V_a2_2,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2))
% 178.46/178.23 <=> ( ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2)))
% 178.46/178.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) )
% 178.46/178.23 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__list__of__set,axiom,
% 178.46/178.23 ! [V_A_2,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.46/178.23 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2
% 178.46/178.23 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))
% 178.46/178.23 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_insort__remove1,axiom,
% 178.46/178.23 ! [V_xs_2,V_a_2,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 178.46/178.23 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__nth__mono,axiom,
% 178.46/178.23 ! [V_j,V_i,V_xs,T_a] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_a)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 178.46/178.23 => ( 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)))
% 178.46/178.23 => 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))) ) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__equals__nth__mono,axiom,
% 178.46/178.23 ! [V_xs_2,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 178.46/178.23 <=> ! [B_j] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.23 => ! [B_i] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 178.46/178.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j))) ) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_map__sorted__distinct__set__unique,axiom,
% 178.46/178.23 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_c)
% 178.46/178.23 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)))
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 178.46/178.23 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)))
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))
% 178.46/178.23 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)))
% 178.46/178.23 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 178.46/178.23 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_transpose__column,axiom,
% 178.46/178.23 ! [V_i_2,V_xs_2,T_b] :
% 178.46/178.23 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 178.46/178.23 => hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_nth__nth__transpose__sorted,axiom,
% 178.46/178.23 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 178.46/178.23 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2))))
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2))))
% 178.46/178.23 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_j_2)),V_i_2) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_inj__on__rev,axiom,
% 178.46/178.23 ! [V_A_2,T_b] : c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orev(T_b),V_A_2) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_distinct__rev,axiom,
% 178.46/178.23 ! [V_xs_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2)))
% 178.46/178.23 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_rev_Osimps_I1_J,axiom,
% 178.46/178.23 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_Nil__is__rev__conv,axiom,
% 178.46/178.23 ! [V_xs_2,T_b] :
% 178.46/178.23 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2)
% 178.46/178.23 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_rev__is__Nil__conv,axiom,
% 178.46/178.23 ! [V_xs_2,T_b] :
% 178.46/178.23 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 178.46/178.23 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_rev__singleton__conv,axiom,
% 178.46/178.23 ! [V_x_2,V_xs_2,T_b] :
% 178.46/178.23 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))
% 178.46/178.23 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_singleton__rev__conv,axiom,
% 178.46/178.23 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.23 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(c_List_Orev(T_b),V_xs_2)
% 178.46/178.23 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_rev__append,axiom,
% 178.46/178.23 ! [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)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_rev__concat,axiom,
% 178.46/178.23 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Orev(T_b)),hAPP(c_List_Orev(tc_List_Olist(T_b)),V_xs_2))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_rev__map,axiom,
% 178.46/178.23 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_rev__filter,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Orev(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(c_List_Orev(T_b),V_xs_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_zip__rev,axiom,
% 178.46/178.23 ! [V_ys,T_b,V_xs,T_a] :
% 178.46/178.23 ( 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)
% 178.46/178.23 => 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)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_set__rev,axiom,
% 178.46/178.23 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_list__all2__rev1,axiom,
% 178.46/178.23 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 178.46/178.23 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2)
% 178.46/178.23 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_list__all2__rev,axiom,
% 178.46/178.23 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 178.46/178.23 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),hAPP(c_List_Orev(T_c),V_ys_2))
% 178.46/178.23 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_rev__is__rev__conv,axiom,
% 178.46/178.23 ! [V_ys_2,V_xs_2,T_b] :
% 178.46/178.23 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2)
% 178.46/178.23 <=> V_xs_2 = V_ys_2 ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_rev__swap,axiom,
% 178.46/178.23 ! [V_ys_2,V_xs_2,T_b] :
% 178.46/178.23 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2
% 178.46/178.23 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_rev__rev__ident,axiom,
% 178.46/178.23 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 178.46/178.23
% 178.46/178.23 fof(fact_listsum__rev,axiom,
% 178.46/178.23 ! [V_xs,T_a] :
% 178.46/178.23 ( class_Groups_Ocomm__monoid__add(T_a)
% 178.46/178.23 => 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) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_length__rev,axiom,
% 178.46/178.23 ! [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) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_foldr__foldl,axiom,
% 178.46/178.23 ! [V_a_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),V_f_2),V_a_2),hAPP(c_List_Orev(T_c),V_xs_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_foldl__foldr,axiom,
% 178.46/178.23 ! [V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2) = c_List_Ofoldr(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2),V_a_2) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_rev_Osimps_I2_J,axiom,
% 178.46/178.23 ! [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))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_rev__eq__Cons__iff,axiom,
% 178.46/178.23 ! [V_ys_2,V_y_2,V_xs_2,T_b] :
% 178.46/178.23 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 178.46/178.23 <=> V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Orev(T_b),V_ys_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_last__rev,axiom,
% 178.46/178.23 ! [T_a,V_xs] :
% 178.46/178.23 ( V_xs != c_List_Olist_ONil(T_a)
% 178.46/178.23 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_hd__rev,axiom,
% 178.46/178.23 ! [T_a,V_xs] :
% 178.46/178.23 ( V_xs != c_List_Olist_ONil(T_a)
% 178.46/178.23 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__transpose,axiom,
% 178.46/178.23 ! [V_xs_2,T_b] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_rev__foldl__cons,axiom,
% 178.46/178.23 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)),V_xs_2) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_rev__take,axiom,
% 178.46/178.23 ! [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)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_rev__drop,axiom,
% 178.46/178.23 ! [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)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_rotate__rev,axiom,
% 178.46/178.23 ! [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)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_rev__nth,axiom,
% 178.46/178.23 ! [V_xs,T_a,V_n] :
% 178.46/178.23 ( 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)))
% 178.46/178.23 => 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))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_rev__update,axiom,
% 178.46/178.23 ! [V_y,V_xs,T_a,V_k] :
% 178.46/178.23 ( 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)))
% 178.46/178.23 => 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) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__rev__nth__mono,axiom,
% 178.46/178.23 ! [V_j,V_i,V_xs,T_a] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_a)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 178.46/178.23 => ( 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)))
% 178.46/178.23 => 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))) ) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_foldr__max__sorted,axiom,
% 178.46/178.23 ! [V_y_2,V_xs_2,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2))
% 178.46/178.23 => ( ( V_xs_2 = c_List_Olist_ONil(T_b)
% 178.46/178.23 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 )
% 178.46/178.23 & ( V_xs_2 != c_List_Olist_ONil(T_b)
% 178.46/178.23 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_y_2) ) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_length__transpose__sorted,axiom,
% 178.46/178.23 ! [V_xs_2,T_b] :
% 178.46/178.23 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 178.46/178.23 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 178.46/178.23 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 178.46/178.23 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b))
% 178.46/178.23 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_transpose__column__length,axiom,
% 178.46/178.23 ! [V_i_2,V_xs_2,T_b] :
% 178.46/178.23 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 178.46/178.23 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_transpose__transpose,axiom,
% 178.46/178.23 ! [V_xs_2,T_b] :
% 178.46/178.23 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 178.46/178.23 => c_List_Otranspose(T_b,c_List_Otranspose(T_b,V_xs_2)) = c_List_OtakeWhile(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b))),V_xs_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 178.46/178.23 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__takeWhile,axiom,
% 178.46/178.23 ! [V_Pa_2,V_xs_2,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 178.46/178.23 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_length__takeWhile__le,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_takeWhile__eq__all__conv,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,T_b] :
% 178.46/178.23 ( c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = V_xs_2
% 178.46/178.23 <=> ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_set__takeWhileD,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,V_x_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_zip__takeWhile__snd,axiom,
% 178.46/178.23 ! [V_ys_2,V_Pa_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),c_List_OtakeWhile(T_c,V_Pa_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_c,tc_HOL_Obool,tc_prod(T_b,T_c),V_Pa_2),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_zip__takeWhile__fst,axiom,
% 178.46/178.23 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,tc_prod(T_b,T_c),V_Pa_2),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_takeWhile__map,axiom,
% 178.46/178.23 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OtakeWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2),V_xs_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_takeWhile__tail,axiom,
% 178.46/178.23 ! [V_l_2,V_xs_2,T_b,V_x_2,V_Pa_2] :
% 178.46/178.23 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 178.46/178.23 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2))) = c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 178.46/178.23 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 178.46/178.23 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 178.46/178.23 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) )
% 178.46/178.23 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 178.46/178.23 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_b) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 178.46/178.23 ! [V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_takeWhile__eq__take,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),V_xs_2) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_distinct__takeWhile,axiom,
% 178.46/178.23 ! [V_Pa_2,V_xs_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 178.46/178.23 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_return__list__def,axiom,
% 178.46/178.23 ! [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) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_takeWhile__append1,axiom,
% 178.46/178.23 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 178.46/178.23 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_nth__length__takeWhile,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.23 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_takeWhile__nth,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))
% 178.46/178.23 => hAPP(hAPP(c_List_Onth(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_takeWhile__not__last,axiom,
% 178.46/178.23 ! [T_b,V_xs_2] :
% 178.46/178.23 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 178.46/178.23 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 178.46/178.23 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),c_List_Olast(T_b,V_xs_2))),V_xs_2) = c_List_Obutlast(T_b,V_xs_2) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 178.46/178.23 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 178.46/178.23 => hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2)),V_xs_2) = c_List_OtakeWhile(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2),V_xs_2) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 178.46/178.23 ! [V_l] :
% 178.46/178.23 ( c_List_Onat__list(V_l)
% 178.46/178.23 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 178.46/178.23 ! [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))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_embed__list__def,axiom,
% 178.46/178.23 ! [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) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_takeWhile__neq__rev,axiom,
% 178.46/178.23 ! [V_x_2,V_xs_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Orev(T_b),hAPP(c_List_Otl(T_b),c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_dropWhile__neq__rev,axiom,
% 178.46/178.23 ! [V_x_2,V_xs_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Orev(T_b),c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_takeWhile__dropWhile__id,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) = V_xs_2 ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__dropWhile,axiom,
% 178.46/178.23 ! [V_Pa_2,V_xs_2,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 178.46/178.23 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_length__dropWhile__le,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,T_b] :
% 178.46/178.23 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = c_List_Olist_ONil(T_b)
% 178.46/178.23 <=> ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 178.46/178.23 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 178.46/178.23 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 178.46/178.23 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) )
% 178.46/178.23 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 178.46/178.23 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 178.46/178.23 ! [V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_distinct__dropWhile,axiom,
% 178.46/178.23 ! [V_Pa_2,V_xs_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 178.46/178.23 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_hd__dropWhile,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,T_b] :
% 178.46/178.23 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) != c_List_Olist_ONil(T_b)
% 178.46/178.23 => ~ hBOOL(hAPP(V_Pa_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_dropWhile__map,axiom,
% 178.46/178.23 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OdropWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2),V_xs_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_dropWhile__append1,axiom,
% 178.46/178.23 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 178.46/178.23 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)),V_ys_2) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 178.46/178.23 ! [V_ys_2,V_y_2,V_xs_2,V_Pa_2,T_b] :
% 178.46/178.23 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 178.46/178.23 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))
% 178.46/178.23 & ~ hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_dropWhile__eq__drop,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),V_xs_2) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_dropWhile__nth,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))))
% 178.46/178.23 => hAPP(hAPP(c_List_Onth(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_listsum__map__filter,axiom,
% 178.46/178.23 ! [V_f_2,V_Pa_2,V_xs_2,T_b,T_c] :
% 178.46/178.23 ( class_Groups_Omonoid__add(T_c)
% 178.46/178.23 => ( ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => ( ~ hBOOL(hAPP(V_Pa_2,B_x))
% 178.46/178.23 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) )
% 178.46/178.23 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted__nth__monoI,axiom,
% 178.46/178.23 ! [V_xs,T_a] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_a)
% 178.46/178.23 => ( ! [B_i,B_j] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 178.46/178.23 => ( 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)))
% 178.46/178.23 => 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))) ) )
% 178.46/178.23 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_takeWhile__eq__filter,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,T_b] :
% 178.46/178.23 ( ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))))
% 178.46/178.23 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 178.46/178.23 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 178.46/178.23 ! [V_Pa_2,V_xs_2,T_b,V_n_2] :
% 178.46/178.23 ( ! [B_i] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.23 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) )
% 178.46/178.23 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.23 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) )
% 178.46/178.23 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_length__takeWhile__less__P__nth,axiom,
% 178.46/178.23 ! [V_xs_2,T_b,V_Pa_2,V_j_2] :
% 178.46/178.23 ( ! [B_i] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 178.46/178.23 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted_Osimps,axiom,
% 178.46/178.23 ! [V_a_2,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2)
% 178.46/178.23 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 178.46/178.23 | ? [B_xs,B_x] :
% 178.46/178.23 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 178.46/178.23 & ! [B_xa] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs)))
% 178.46/178.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) )
% 178.46/178.23 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_not__in__set__insert,axiom,
% 178.46/178.23 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.23 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_List_Oinsert__def,axiom,
% 178.46/178.23 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.23 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 )
% 178.46/178.23 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_insert__remdups,axiom,
% 178.46/178.23 ! [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)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_distinct__insert,axiom,
% 178.46/178.23 ! [V_x,V_xs,T_a] :
% 178.46/178.23 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 178.46/178.23 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_in__set__insert,axiom,
% 178.46/178.23 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_List_Oset__insert,axiom,
% 178.46/178.23 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oinsert(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_insert__Nil,axiom,
% 178.46/178.23 ! [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)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_concat__map__maps,axiom,
% 178.46/178.23 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),V_f_2),V_xs_2)) = c_List_Omaps(T_c,T_b,V_f_2,V_xs_2) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_maps__def,axiom,
% 178.46/178.23 ! [V_xs_2,V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,V_xs_2) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),V_f_2),V_xs_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_maps__simps_I2_J,axiom,
% 178.46/178.23 ! [V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_maps__simps_I1_J,axiom,
% 178.46/178.23 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(V_f_2,V_x_2)),c_List_Omaps(T_c,T_b,V_f_2,V_xs_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_distinct__concat,axiom,
% 178.46/178.23 ! [V_xs_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2))
% 178.46/178.23 => ( ! [B_ys] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.23 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) )
% 178.46/178.23 => ( ! [B_ys] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.23 => ! [B_zs] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.23 => ( B_ys != B_zs
% 178.46/178.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),B_ys)),hAPP(c_List_Oset(T_b),B_zs)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 178.46/178.23 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_measures__lesseq,axiom,
% 178.46/178.23 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 178.46/178.23 ( 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)))
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2)))
% 178.46/178.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_wf__measures,axiom,
% 178.46/178.23 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_in__measures_I1_J,axiom,
% 178.46/178.23 ! [V_y_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_Nat_Onat))))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_measures__def,axiom,
% 178.46/178.23 ! [V_fs_2,T_b] : c_List_Omeasures(T_b,V_fs_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat),T_b),c_List_Olex(tc_Nat_Onat,c_Wellfounded_Oless__than)),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(tc_fun(T_b,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_Nat_Onat),tc_Nat_Onat),tc_fun(tc_List_Olist(tc_fun(T_b,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),T_b),c_List_Omap(tc_fun(T_b,tc_Nat_Onat),tc_Nat_Onat)),hAPP(c_COMBC(tc_fun(T_b,tc_Nat_Onat),T_b,tc_Nat_Onat),c_COMBI(tc_fun(T_b,tc_Nat_Onat))))),V_fs_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_measures__less,axiom,
% 178.46/178.23 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 178.46/178.23 ( 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)))
% 178.46/178.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_in__measures_I2_J,axiom,
% 178.46/178.23 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2))))
% 178.46/178.23 <=> ( 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)))
% 178.46/178.23 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 178.46/178.23 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2))) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_foldl__apply,axiom,
% 178.46/178.23 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] :
% 178.46/178.23 ( ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => hAPP(c_Fun_Ocomp(T_d,T_d,T_c,hAPP(V_f_2,B_x)),V_h_2) = hAPP(c_Fun_Ocomp(T_c,T_d,T_c,V_h_2),hAPP(V_g_2,B_x)) )
% 178.46/178.23 => hAPP(c_List_Ofoldl(T_d,T_b,hAPP(c_COMBC(T_b,T_d,T_d),V_f_2),hAPP(V_h_2,V_s_2)),V_xs_2) = hAPP(V_h_2,hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_g_2),V_s_2),V_xs_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_order__fun_I2_J,axiom,
% 178.46/178.23 ! [V_g_2,V_f_2,T_b,T_c] :
% 178.46/178.23 ( ( class_Orderings_Oorder(T_c)
% 178.46/178.23 & class_Enum_Oenum(T_b) )
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 178.46/178.23 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 178.46/178.23 & hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBS(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_g_2)))) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_enum__ex__prod__def,axiom,
% 178.46/178.23 ! [V_Pa_2,T_b,T_c] :
% 178.46/178.23 ( ( class_Enum_Oenum(T_c)
% 178.46/178.23 & class_Enum_Oenum(T_b) )
% 178.46/178.23 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_Pa_2))
% 178.46/178.23 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__ex(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_exists__code,axiom,
% 178.46/178.23 ! [V_Pa_2,T_b] :
% 178.46/178.23 ( class_Enum_Oenum(T_b)
% 178.46/178.23 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 178.46/178.23 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_enum__ex,axiom,
% 178.46/178.23 ! [V_Pa_2,T_b] :
% 178.46/178.23 ( class_Enum_Oenum(T_b)
% 178.46/178.23 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2))
% 178.46/178.23 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_zip__obtain__same__length,axiom,
% 178.46/178.23 ! [V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 178.46/178.23 ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2))
% 178.46/178.23 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2)))) )
% 178.46/178.23 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_pos__not__random__dseq__def,axiom,
% 178.46/178.23 ! [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)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_dropWhile__append2,axiom,
% 178.46/178.23 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 178.46/178.23 ( ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 178.46/178.23 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OdropWhile(T_b,V_Pa_2,V_ys_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_list__all2__all__nthI,axiom,
% 178.46/178.23 ! [V_Pa_2,V_b_2,T_c,V_a_2,T_b] :
% 178.46/178.23 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_b_2)
% 178.46/178.23 => ( ! [B_n] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2)))
% 178.46/178.23 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_a_2),B_n)),hAPP(hAPP(c_List_Onth(T_c),V_b_2),B_n))) )
% 178.46/178.23 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_finite__sorted__distinct__unique,axiom,
% 178.46/178.23 ! [V_A_2,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.46/178.23 => ? [B_x] :
% 178.46/178.23 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2
% 178.46/178.23 & c_List_Olinorder__class_Osorted(T_b,B_x)
% 178.46/178.23 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x))
% 178.46/178.23 & ! [B_y] :
% 178.46/178.23 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2
% 178.46/178.23 & c_List_Olinorder__class_Osorted(T_b,B_y)
% 178.46/178.23 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) )
% 178.46/178.23 => B_y = B_x ) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_takeWhile__append2,axiom,
% 178.46/178.23 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 178.46/178.23 ( ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 178.46/178.23 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_OtakeWhile(T_b,V_Pa_2,V_ys_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_insort__is__Cons,axiom,
% 178.46/178.23 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_c)
% 178.46/178.23 => ( ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) )
% 178.46/178.23 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_xs_2) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_filter__eq__Cons__iff,axiom,
% 178.46/178.23 ! [V_xs_2,V_x_2,V_ys_2,V_Pa_2,T_b] :
% 178.46/178.23 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)
% 178.46/178.23 <=> ? [B_us,B_vs] :
% 178.46/178.23 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_vs))
% 178.46/178.23 & ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 178.46/178.23 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 178.46/178.23 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 178.46/178.23 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_Cons__eq__filter__iff,axiom,
% 178.46/178.23 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 178.46/178.23 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2)
% 178.46/178.23 <=> ? [B_us,B_vs] :
% 178.46/178.23 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_vs))
% 178.46/178.23 & ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 178.46/178.23 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 178.46/178.23 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 178.46/178.23 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_order__fun_I1_J,axiom,
% 178.46/178.23 ! [V_g_2,V_f_2,T_b,T_c] :
% 178.46/178.23 ( ( class_Orderings_Oorder(T_c)
% 178.46/178.23 & class_Enum_Oenum(T_b) )
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 178.46/178.23 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBS(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Oord__class_Oless__eq(T_c)),V_f_2)),V_g_2))) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_enum__all,axiom,
% 178.46/178.23 ! [V_Pa_2,T_b] :
% 178.46/178.23 ( class_Enum_Oenum(T_b)
% 178.46/178.23 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2))
% 178.46/178.23 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_all__code,axiom,
% 178.46/178.23 ! [V_Pa_2,T_b] :
% 178.46/178.23 ( class_Enum_Oenum(T_b)
% 178.46/178.23 => ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 178.46/178.23 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_enum__all__prod__def,axiom,
% 178.46/178.23 ! [V_Pa_2,T_b,T_c] :
% 178.46/178.23 ( ( class_Enum_Oenum(T_c)
% 178.46/178.23 & class_Enum_Oenum(T_b) )
% 178.46/178.23 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_Pa_2))
% 178.46/178.23 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__all(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_list__ball__nth,axiom,
% 178.46/178.23 ! [V_Pa_2,V_xs_2,T_b,V_n_2] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.23 => ( ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 178.46/178.23 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sorted_OCons,axiom,
% 178.46/178.23 ! [V_x_2,V_xs_2,T_b] :
% 178.46/178.23 ( class_Orderings_Olinorder(T_b)
% 178.46/178.23 => ( ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) )
% 178.46/178.23 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 178.46/178.23 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_list__ex__length,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,T_b] :
% 178.46/178.23 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 178.46/178.23 <=> ? [B_n] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.23 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_in__set__conv__decomp__first,axiom,
% 178.46/178.23 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 <=> ? [B_ys] :
% 178.46/178.23 ( ? [B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs))
% 178.46/178.23 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_list__ex__simps_I2_J,axiom,
% 178.46/178.23 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_list__ex__append,axiom,
% 178.46/178.23 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 178.46/178.23 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 178.46/178.23 <=> ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 178.46/178.23 | c_List_Olist__ex(T_b,V_Pa_2,V_ys_2) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_list__ex__iff,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,T_b] :
% 178.46/178.23 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 178.46/178.23 <=> ? [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_list__ex__rev,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,T_b] :
% 178.46/178.23 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 178.46/178.23 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_list__ex__simps_I1_J,axiom,
% 178.46/178.23 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 178.46/178.23 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 178.46/178.23 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 178.46/178.23 | c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_in__set__conv__decomp,axiom,
% 178.46/178.23 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 <=> ? [B_ys,B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_in__set__conv__decomp__last,axiom,
% 178.46/178.23 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 <=> ? [B_ys,B_zs] :
% 178.46/178.23 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs))
% 178.46/178.23 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_list__all__length,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,T_b] :
% 178.46/178.23 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 178.46/178.23 <=> ! [B_n] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 178.46/178.23 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_measure__function__int,axiom,
% 178.46/178.23 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))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_list__all__simps_I2_J,axiom,
% 178.46/178.23 ! [V_Pa_2,T_b] : c_List_Olist__all(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_list__all__append,axiom,
% 178.46/178.23 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 178.46/178.23 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 178.46/178.23 <=> ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 178.46/178.23 & c_List_Olist__all(T_b,V_Pa_2,V_ys_2) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_measure__size,axiom,
% 178.46/178.23 ! [T_b] :
% 178.46/178.23 ( class_Nat_Osize(T_b)
% 178.46/178.23 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_is__measure_Ointros,axiom,
% 178.46/178.23 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_is__measure_Oequations,axiom,
% 178.46/178.23 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_is__measure_Osimps,axiom,
% 178.46/178.23 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_list__all__iff,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,T_b] :
% 178.46/178.23 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 178.46/178.23 <=> ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_measure__fst,axiom,
% 178.46/178.23 ! [T_c,V_f_2,T_b] :
% 178.46/178.23 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 178.46/178.23 => c_FunDef_Ois__measure(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBB(T_b,tc_Nat_Onat,tc_prod(T_b,T_c)),V_f_2),c_Product__Type_Ofst(T_b,T_c))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_measure__snd,axiom,
% 178.46/178.23 ! [T_c,V_f_2,T_b] :
% 178.46/178.23 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 178.46/178.23 => c_FunDef_Ois__measure(tc_prod(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,tc_Nat_Onat,tc_prod(T_c,T_b)),V_f_2),c_Product__Type_Osnd(T_c,T_b))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_list__all__rev,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,T_b] :
% 178.46/178.23 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 178.46/178.23 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_list__all__simps_I1_J,axiom,
% 178.46/178.23 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 178.46/178.23 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 178.46/178.23 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 178.46/178.23 & c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_Ball__set__list__all,axiom,
% 178.46/178.23 ! [V_Pa_2,V_xs_2,T_b] :
% 178.46/178.23 ( ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 178.46/178.23 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_list__all__iff__raw,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,T_b] :
% 178.46/178.23 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 178.46/178.23 <=> ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_list__ex1__simps_I2_J,axiom,
% 178.46/178.23 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 178.46/178.23 ( c_List_Olist__ex1(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 178.46/178.23 <=> ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 178.46/178.23 => c_List_Olist__all(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2))),hAPP(c_fequal,V_x_2)),V_xs_2) )
% 178.46/178.23 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 178.46/178.23 => c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_transfer__morphism__int__nat,axiom,
% 178.46/178.23 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)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_list__ex1__simps_I1_J,axiom,
% 178.46/178.23 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex1(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bool_Osize_I4_J,axiom,
% 178.46/178.23 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bool_Osize_I3_J,axiom,
% 178.46/178.23 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_list__ex1__iff,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,T_b] :
% 178.46/178.23 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 178.46/178.23 <=> ? [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 & hBOOL(hAPP(V_Pa_2,B_x))
% 178.46/178.23 & ! [B_y] :
% 178.46/178.23 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 178.46/178.23 => B_y = B_x ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 178.46/178.23 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 178.46/178.23 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 178.46/178.23 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Oempty(T_b) )
% 178.46/178.23 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 178.46/178.23 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 178.46/178.23 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 178.46/178.23 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 178.46/178.23 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohit__bound(T_b) )
% 178.46/178.23 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 178.46/178.23 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 178.46/178.23 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Oneg__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Oneg__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 178.46/178.23 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Opos__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 178.46/178.23 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Oneg__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,V_i_2),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 178.46/178.23 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_pos__empty__def,axiom,
% 178.46/178.23 ! [V_seed_2,V_size_2,V_nrandom_2,T_b] : c_New__Random__Sequence_Opos__empty(T_b,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__empty(T_b) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_neg__bind__def,axiom,
% 178.46/178.23 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 178.46/178.23 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Opos__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,V_i_2)),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_neg__map__def,axiom,
% 178.46/178.23 ! [V_Pa_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Oneg__map(T_c,T_b,V_f_2,V_Pa_2) = c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),T_c,c_New__Random__Sequence_Oneg__single(T_b)),V_f_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_neg__single__def,axiom,
% 178.46/178.23 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__single(T_b,V_x_2) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_pos__bind__def,axiom,
% 178.46/178.23 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 178.46/178.23 ! [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) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_pos__map__def,axiom,
% 178.46/178.23 ! [V_Pa_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Opos__map(T_c,T_b,V_f_2,V_Pa_2) = c_New__Random__Sequence_Opos__bind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),T_c,c_New__Random__Sequence_Opos__single(T_b)),V_f_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_pos__single__def,axiom,
% 178.46/178.23 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__single(T_b,V_x_2) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_length__splice,axiom,
% 178.46/178.23 ! [V_ys,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Osplice(T_a,V_xs,V_ys)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_splice_Osimps_I3_J,axiom,
% 178.46/178.23 ! [V_ys,V_y,V_xs,V_x,T_a] : c_List_Osplice(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),c_List_Osplice(T_a,V_xs,V_ys))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_splice__Nil2,axiom,
% 178.46/178.23 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ).
% 178.46/178.23
% 178.46/178.23 fof(fact_splice_Osimps_I1_J,axiom,
% 178.46/178.23 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ).
% 178.46/178.23
% 178.46/178.23 fof(fact_splice_Osimps_I2_J,axiom,
% 178.46/178.23 ! [V_va,V_v,T_a] : c_List_Osplice(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_v),V_va),c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_v),V_va) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_New__DSequence_Opos__single__def,axiom,
% 178.46/178.23 ! [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) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_acyclicP__converse,axiom,
% 178.46/178.23 ! [V_r_2,T_b] :
% 178.46/178.23 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_Predicate_Oconversep(T_b,T_b,V_r_2))))
% 178.46/178.23 <=> c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_converse__meet,axiom,
% 178.46/178.23 ! [V_s_2,V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Predicate_Oconversep(T_c,T_b,V_r_2)),c_Predicate_Oconversep(T_c,T_b,V_s_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_converse__pred__comp,axiom,
% 178.46/178.23 ! [V_s_2,V_r_2,T_d,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,c_Predicate_Opred__comp(T_c,T_d,T_b,V_r_2,V_s_2)) = c_Predicate_Opred__comp(T_b,T_d,T_c,c_Predicate_Oconversep(T_d,T_b,V_s_2),c_Predicate_Oconversep(T_c,T_d,V_r_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_conversep__eq,axiom,
% 178.46/178.23 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ).
% 178.46/178.23
% 178.46/178.23 fof(fact_conversep__conversep,axiom,
% 178.46/178.23 ! [V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,c_Predicate_Oconversep(T_b,T_c,V_r_2)) = V_r_2 ).
% 178.46/178.23
% 178.46/178.23 fof(fact_conversep__iff,axiom,
% 178.46/178.23 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 178.46/178.23 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_conversep_Oequations,axiom,
% 178.46/178.23 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2))
% 178.46/178.23 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_conversep_Ointros,axiom,
% 178.46/178.23 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 178.46/178.23 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_conversepD,axiom,
% 178.46/178.23 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 178.46/178.23 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_conversep__noteq,axiom,
% 178.46/178.23 ! [V_y_2,V_x_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_b,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot)),c_fequal)),V_x_2),V_y_2))
% 178.46/178.23 <=> V_x_2 != V_y_2 ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_converse__join,axiom,
% 178.46/178.23 ! [V_s_2,V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Predicate_Oconversep(T_c,T_b,V_r_2)),c_Predicate_Oconversep(T_c,T_b,V_s_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_conversep__converse__eq,axiom,
% 178.46/178.23 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2),V_y_2))
% 178.46/178.23 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_,axiom,
% 178.46/178.23 ! [V_s2_2,V_s1_2,T_c,T_b] : c_Lazy__Sequence_Oproduct(T_b,T_c,V_s1_2,V_s2_2) = hAPP(c_Lazy__Sequence_Obind(T_b,tc_prod(T_b,T_c),V_s1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c))),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c)),T_b),c_Lazy__Sequence_Obind(T_c,tc_prod(T_b,T_c),V_s2_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c)),T_c),c_Lazy__Sequence_Osingle(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_tl__replicate,axiom,
% 178.46/178.23 ! [V_x,T_a,V_n] :
% 178.46/178.23 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.23 => hAPP(c_List_Otl(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_x) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_replicate__length__filter,axiom,
% 178.46/178.23 ! [V_xs_2,V_x_2,T_b] : c_List_Oreplicate(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(c_fequal,V_x_2)),V_xs_2)),V_x_2) = hAPP(c_List_Ofilter(T_b,hAPP(c_fequal,V_x_2)),V_xs_2) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_length__replicate,axiom,
% 178.46/178.23 ! [V_x,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oreplicate(T_a,V_n,V_x)) = V_n ).
% 178.46/178.23
% 178.46/178.23 fof(fact_map__replicate__const,axiom,
% 178.46/178.23 ! [V_lst_2,V_k_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_k_2)),V_lst_2) = c_List_Oreplicate(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_lst_2),V_k_2) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_replicate__app__Cons__same,axiom,
% 178.46/178.23 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_xs)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_replicate__Suc,axiom,
% 178.46/178.23 ! [V_x,V_n,T_a] : c_List_Oreplicate(T_a,hAPP(c_Nat_OSuc,V_n),V_x) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Oreplicate(T_a,V_n,V_x)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_rev__replicate,axiom,
% 178.46/178.23 ! [V_x,V_n,T_a] : hAPP(c_List_Orev(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = c_List_Oreplicate(T_a,V_n,V_x) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_take__replicate,axiom,
% 178.46/178.23 ! [V_x,V_k,V_i,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_i),c_List_Oreplicate(T_a,V_k,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_i),V_k),V_x) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_drop__replicate,axiom,
% 178.46/178.23 ! [V_x,V_k,V_i,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_i),c_List_Oreplicate(T_a,V_k,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_k),V_i),V_x) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_hd__replicate,axiom,
% 178.46/178.23 ! [V_x,T_a,V_n] :
% 178.46/178.23 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.23 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_last__replicate,axiom,
% 178.46/178.23 ! [V_x,T_a,V_n] :
% 178.46/178.23 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.23 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_zip__replicate,axiom,
% 178.46/178.23 ! [V_y,V_j,V_x,V_i,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_Oreplicate(T_a,V_i,V_x)),c_List_Oreplicate(T_b,V_j,V_y)) = c_List_Oreplicate(tc_prod(T_a,T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_i),V_j),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_Ball__set__replicate,axiom,
% 178.46/178.23 ! [V_Pa_2,V_a_2,V_n_2,T_b] :
% 178.46/178.23 ( ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_a_2))))
% 178.46/178.23 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 178.46/178.23 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 178.46/178.23 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_Bex__set__replicate,axiom,
% 178.46/178.23 ! [V_Pa_2,V_a_2,V_n_2,T_b] :
% 178.46/178.23 ( ? [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_a_2))))
% 178.46/178.23 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 178.46/178.23 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 178.46/178.23 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_replicate__eq__replicate,axiom,
% 178.46/178.23 ! [V_y_2,V_n_2,V_x_2,V_m_2,T_b] :
% 178.46/178.23 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_n_2,V_y_2)
% 178.46/178.23 <=> ( V_m_2 = V_n_2
% 178.46/178.23 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.23 => V_x_2 = V_y_2 ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_nth__replicate,axiom,
% 178.46/178.23 ! [V_x,T_a,V_n,V_i] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 178.46/178.23 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_replicate__add,axiom,
% 178.46/178.23 ! [V_x,V_m,V_n,T_a] : c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m),V_x) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),c_List_Oreplicate(T_a,V_m,V_x)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_append__replicate__commute,axiom,
% 178.46/178.23 ! [V_k,V_x,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),c_List_Oreplicate(T_a,V_k,V_x)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_k,V_x)),c_List_Oreplicate(T_a,V_n,V_x)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_filter__replicate,axiom,
% 178.46/178.23 ! [V_n_2,T_b,V_x_2,V_Pa_2] :
% 178.46/178.23 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 178.46/178.23 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Oreplicate(T_b,V_n_2,V_x_2) )
% 178.46/178.23 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 178.46/178.23 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Olist_ONil(T_b) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_concat__replicate__trivial,axiom,
% 178.46/178.23 ! [V_i,T_a] : c_List_Oconcat(T_a,c_List_Oreplicate(tc_List_Olist(T_a),V_i,c_List_Olist_ONil(T_a))) = c_List_Olist_ONil(T_a) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_replicate__empty,axiom,
% 178.46/178.23 ! [V_x_2,V_n_2,T_b] :
% 178.46/178.23 ( c_List_Oreplicate(T_b,V_n_2,V_x_2) = c_List_Olist_ONil(T_b)
% 178.46/178.23 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_empty__replicate,axiom,
% 178.46/178.23 ! [V_x_2,V_n_2,T_b] :
% 178.46/178.23 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_n_2,V_x_2)
% 178.46/178.23 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_replicate__0,axiom,
% 178.46/178.23 ! [V_x,T_a] : c_List_Oreplicate(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x) = c_List_Olist_ONil(T_a) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_map__replicate,axiom,
% 178.46/178.23 ! [V_x_2,V_n_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oreplicate(T_c,V_n_2,V_x_2)) = c_List_Oreplicate(T_b,V_n_2,hAPP(V_f_2,V_x_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_in__set__replicate,axiom,
% 178.46/178.23 ! [V_y_2,V_n_2,V_x_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_y_2))))
% 178.46/178.23 <=> ( V_x_2 = V_y_2
% 178.46/178.23 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_replicate__append__same,axiom,
% 178.46/178.23 ! [V_x,V_i,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_i,V_x)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Oreplicate(T_a,V_i,V_x)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_map__replicate__trivial,axiom,
% 178.46/178.23 ! [V_i_2,V_x_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_COMBK(T_b,tc_Nat_Onat),V_x_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2)) = c_List_Oreplicate(T_b,V_i_2,V_x_2) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_set__replicate,axiom,
% 178.46/178.23 ! [V_x_2,T_b,V_n_2] :
% 178.46/178.23 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.23 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_set__replicate__conv__if,axiom,
% 178.46/178.23 ! [V_x_2,T_b,V_n_2] :
% 178.46/178.23 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.23 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 178.46/178.23 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 178.46/178.23 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_set__replicate__Suc,axiom,
% 178.46/178.23 ! [V_x_2,V_n_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,hAPP(c_Nat_OSuc,V_n_2),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_small__lazy__list_Osimps,axiom,
% 178.46/178.23 ! [V_d_2,T_b] :
% 178.46/178.23 ( class_Lazy__Sequence_Osmall__lazy(T_b)
% 178.46/178.23 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_b),V_d_2) = c_Lazy__Sequence_Oappend(tc_List_Olist(T_b),hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)),hAPP(c_Lazy__Sequence_Obind(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),c_Lazy__Sequence_Oproduct(T_b,tc_List_Olist(T_b),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Lazy__Sequence_Osingle(tc_List_Olist(T_b)))),c_List_Olist_OCons(T_b))))),c_Lazy__Sequence_Oempty(tc_List_Olist(T_b)))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_eq__comp__r,axiom,
% 178.46/178.23 ! [V_R_2,T_b] : c_Predicate_Opred__comp(T_b,T_b,T_b,c_fequal,c_Predicate_Opred__comp(T_b,T_b,T_b,V_R_2,c_fequal)) = V_R_2 ).
% 178.46/178.23
% 178.46/178.23 fof(fact_small__lazy__prod__def,axiom,
% 178.46/178.23 ! [V_d,T_b,T_a] :
% 178.46/178.23 ( ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 178.46/178.23 & class_Lazy__Sequence_Osmall__lazy(T_b) )
% 178.46/178.23 => 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)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_New__DSequence_Opos__union__def,axiom,
% 178.46/178.23 ! [V_i_2,V_yq_2,V_xq_2,T_b] : hAPP(c_New__DSequence_Opos__union(T_b,V_xq_2,V_yq_2),V_i_2) = c_Lazy__Sequence_Oappend(T_b,hAPP(V_xq_2,V_i_2),hAPP(V_yq_2,V_i_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 178.46/178.23 ! [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))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact__01,axiom,
% 178.46/178.23 ! [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)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_lazy__sequence_Oinject,axiom,
% 178.46/178.23 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] :
% 178.46/178.23 ( c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_H_2,V_lazy__sequence_H_2)
% 178.46/178.23 <=> ( V_a_2 = V_a_H_2
% 178.46/178.23 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_pos__union__def,axiom,
% 178.46/178.23 ! [V_seed_2,V_size_2,V_nrandom_2,V_R2_2,V_R1_2,T_b] : c_New__Random__Sequence_Opos__union(T_b,V_R1_2,V_R2_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__union(T_b,hAPP(hAPP(hAPP(V_R1_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(hAPP(V_R2_2,V_nrandom_2),V_size_2),V_seed_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 178.46/178.23 ! [V_lazy__sequence_2,V_a_2,V_fa_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),V_lazy__sequence_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_small__lazy_H_Osimps,axiom,
% 178.46/178.23 ! [V_i,V_d] :
% 178.46/178.23 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 178.46/178.23 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 178.46/178.23 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 178.46/178.23 => 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)))) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_small__lazy_H_Opsimps,axiom,
% 178.46/178.23 ! [V_i_2,V_d_2] :
% 178.46/178.23 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_d_2),V_i_2)))
% 178.46/178.23 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 178.46/178.23 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 178.46/178.23 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 178.46/178.23 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oappend(tc_Int_Oint,hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint),V_i_2),c_Lazy__Sequence_Osmall__lazy_H(V_d_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_small__lazy__int__def,axiom,
% 178.46/178.23 ! [V_d] : c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint,V_d) = c_Lazy__Sequence_Osmall__lazy_H(V_d,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_d)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_small__lazy_H_Opinduct,axiom,
% 178.46/178.23 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 178.46/178.23 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 178.46/178.23 => ( ! [B_d,B_i] :
% 178.46/178.23 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_d),B_i)))
% 178.46/178.23 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 178.46/178.23 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) )
% 178.46/178.23 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),B_i)) ) )
% 178.46/178.23 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_size__code,axiom,
% 178.46/178.23 ! [V_xq_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_b)),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),T_b),hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_b)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_lazy__sequence__size__code,axiom,
% 178.46/178.23 ! [V_xq_2,V_s_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_s_2),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),hAPP(hAPP(c_COMBC(T_b,tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),T_b),c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),T_b),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),T_b),c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),T_b),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_s_2))),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_s_2))))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_seq__case,axiom,
% 178.46/178.23 ! [V_xq_2,V_g_2,V_f_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f_2,V_g_2,V_xq_2) = c_Option_Ooption_Ooption__case(T_b,tc_prod(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c)),V_f_2,hAPP(c_Product__Type_Oprod_Oprod__case(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c),T_b),V_g_2),hAPP(c_Lazy__Sequence_Oyield(T_c),V_xq_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_yieldn__def,axiom,
% 178.46/178.23 ! [T_b] : c_Lazy__Sequence_Oyieldn(T_b) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(T_b),T_b,c_Lazy__Sequence_Oyield(T_b)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 178.46/178.23 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_refl__on__INTER,axiom,
% 178.46/178.23 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 178.46/178.23 ( ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 178.46/178.23 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 178.46/178.23 => c_Relation_Orefl__on(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_S_2),V_r_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_in__set__member,axiom,
% 178.46/178.23 ! [V_xs_2,V_x_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_member__rec_I2_J,axiom,
% 178.46/178.23 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_member__set,axiom,
% 178.46/178.23 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_member__rec_I1_J,axiom,
% 178.46/178.23 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_y_2))
% 178.46/178.23 <=> ( V_x_2 = V_y_2
% 178.46/178.23 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_List_Omember__def,axiom,
% 178.46/178.23 ! [V_x_2,V_xs_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2))
% 178.46/178.23 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_list__ex1__iff__raw,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,T_b] :
% 178.46/178.23 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 178.46/178.23 <=> ? [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 & hBOOL(hAPP(V_Pa_2,B_x))
% 178.46/178.23 & ! [B_y] :
% 178.46/178.23 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 178.46/178.23 => B_y = B_x ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_setsum__UNION__zero,axiom,
% 178.46/178.23 ! [V_f_2,V_S_2,T_b,T_c] :
% 178.46/178.23 ( class_Groups_Ocomm__monoid__add(T_c)
% 178.46/178.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2))
% 178.46/178.23 => ( ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2))
% 178.46/178.23 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 178.46/178.23 => ( ! [B_T1] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2))
% 178.46/178.23 => ! [B_T2] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2))
% 178.46/178.23 => ( B_T1 != B_T2
% 178.46/178.23 => ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1))
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2))
% 178.46/178.23 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) )
% 178.46/178.23 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2)),V_S_2) ) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_THE__default__def,axiom,
% 178.46/178.23 ! [V_d_2,T_b,V_Pa_2] :
% 178.46/178.23 ( ( ? [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(V_Pa_2,B_x))
% 178.46/178.23 & ! [B_y] :
% 178.46/178.23 ( hBOOL(hAPP(V_Pa_2,B_y))
% 178.46/178.23 => B_y = B_x ) )
% 178.46/178.23 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) )
% 178.46/178.23 & ( ~ ? [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(V_Pa_2,B_x))
% 178.46/178.23 & ! [B_y] :
% 178.46/178.23 ( hBOOL(hAPP(V_Pa_2,B_y))
% 178.46/178.23 => B_y = B_x ) )
% 178.46/178.23 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = V_d_2 ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_SUP2__E,axiom,
% 178.46/178.23 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 178.46/178.23 => ~ ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.46/178.23 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_INF2__I,axiom,
% 178.46/178.23 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] :
% 178.46/178.23 ( ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.46/178.23 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) )
% 178.46/178.23 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_finite__maxlen,axiom,
% 178.46/178.23 ! [V_M_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2))
% 178.46/178.23 => ? [B_n] :
% 178.46/178.23 ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2))
% 178.46/178.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),B_x)),B_n)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_lazy__sequence_Osize_I3_J,axiom,
% 178.46/178.23 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_lazy__sequence_Osize_I1_J,axiom,
% 178.46/178.23 ! [V_fa_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 178.46/178.23
% 178.46/178.23 fof(fact__02,axiom,
% 178.46/178.23 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ).
% 178.46/178.23
% 178.46/178.23 fof(fact_lazy__sequence_Osimps_I3_J,axiom,
% 178.46/178.23 ! [V_lazy__sequence_H,V_a_H,T_a] : c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H,V_lazy__sequence_H) != c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_lazy__sequence_Osimps_I2_J,axiom,
% 178.46/178.23 ! [V_lazy__sequence_H,V_a_H,T_a] : c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) != c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H,V_lazy__sequence_H) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_lazy__sequence_Osimps_I4_J,axiom,
% 178.46/178.23 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = V_f1_2 ).
% 178.46/178.23
% 178.46/178.23 fof(fact_list__all__iff__all__interval__int,axiom,
% 178.46/178.23 ! [V_j_2,V_i_2,V_Pa_2] :
% 178.46/178.23 ( c_List_Olist__all(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 178.46/178.23 <=> c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_list__ex__iff__not__all__inverval__int,axiom,
% 178.46/178.23 ! [V_j_2,V_i_2,V_Pa_2] :
% 178.46/178.23 ( c_List_Olist__ex(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 178.46/178.23 <=> ~ c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint,c_fNot),V_Pa_2),V_i_2,V_j_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_all__interval__int__def,axiom,
% 178.46/178.23 ! [V_j_2,V_i_2,V_Pa_2] :
% 178.46/178.23 ( c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2)
% 178.46/178.23 <=> ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2)))
% 178.46/178.23 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_Random_Osimps,axiom,
% 178.46/178.23 ! [V_size_2,V_g_2,T_b,V_nrandom_2] :
% 178.46/178.23 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)))
% 178.46/178.23 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) )
% 178.46/178.23 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)))
% 178.46/178.23 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm)),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(V_g_2,V_size_2)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random__Sequence_ORandom(T_b,V_g_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_size_2))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Ounion(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Osingle(T_b)),c_Product__Type_Ofst(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))))))) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_exE__realizer,axiom,
% 178.46/178.23 ! [T_d,V_f_2,V_Qa_2,V_p_2,T_b,T_c,V_Pa_2] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2)),hAPP(c_Product__Type_Ofst(T_c,T_b),V_p_2)))
% 178.46/178.23 => ( ! [B_x,B_y] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(V_Pa_2,B_y),B_x))
% 178.46/178.23 => hBOOL(hAPP(V_Qa_2,hAPP(hAPP(V_f_2,B_x),B_y))) )
% 178.46/178.23 => hBOOL(hAPP(V_Qa_2,hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_d),V_f_2),V_p_2))) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_Random__Sequence_Oempty__def,axiom,
% 178.46/178.23 ! [V_size_2,V_nrandom_2,T_b] : c_Random__Sequence_Oempty(T_b,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_Random__Sequence_Osingle__def,axiom,
% 178.46/178.23 ! [V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(T_b),V_x_2),V_nrandom_2),V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_DSequence_Osingle(T_b),V_x_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_Random__Sequence_Omap__def,axiom,
% 178.46/178.23 ! [V_Pa_2,V_f_2,T_b,T_c] : c_Random__Sequence_Omap(T_c,T_b,V_f_2,V_Pa_2) = c_Random__Sequence_Obind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))))),T_c,c_Random__Sequence_Osingle(T_b)),V_f_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_Image__Collect__split,axiom,
% 178.46/178.23 ! [V_A_2,V_Pa_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_Pa_2))),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Pa_2)))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_list__ex__iff__raw,axiom,
% 178.46/178.23 ! [V_xs_2,V_Pa_2,T_b] :
% 178.46/178.23 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 178.46/178.23 <=> ? [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_Bex__set__list__ex,axiom,
% 178.46/178.23 ! [V_Pa_2,V_xs_2,T_b] :
% 178.46/178.23 ( ? [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 178.46/178.23 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 178.46/178.23 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_Union__eq,axiom,
% 178.46/178.23 ! [V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))),c_member(T_b)))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_SUPR__bool__eq,axiom,
% 178.46/178.23 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bex__UNIV,axiom,
% 178.46/178.23 ! [V_Pa_2,T_b] :
% 178.46/178.23 ( ? [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 178.46/178.23 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 178.46/178.23 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_finite__Collect__bex,axiom,
% 178.46/178.23 ! [V_Qa_2,T_c,V_A_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.46/178.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),V_Qa_2)))))
% 178.46/178.23 <=> ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.46/178.23 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Qa_2),B_x)))) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bex__empty,axiom,
% 178.46/178.23 ! [V_Pa_2,T_b] :
% 178.46/178.23 ~ ? [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 178.46/178.23 & hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_UN__eq,axiom,
% 178.46/178.23 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_fequal)),V_B_2))))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_INT__eq,axiom,
% 178.46/178.23 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_fequal)),V_B_2))))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_Sup__fun__def,axiom,
% 178.46/178.23 ! [V_x_2,V_A_2,T_c,T_b] :
% 178.46/178.23 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.46/178.23 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_Sup__apply,axiom,
% 178.46/178.23 ! [V_x_2,V_A_2,T_c,T_b] :
% 178.46/178.23 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.46/178.23 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_Inf__fun__def,axiom,
% 178.46/178.23 ! [V_x_2,V_A_2,T_c,T_b] :
% 178.46/178.23 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.46/178.23 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_Inf__apply,axiom,
% 178.46/178.23 ! [V_x_2,V_A_2,T_c,T_b] :
% 178.46/178.23 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 178.46/178.23 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_max__extp_Ointros,axiom,
% 178.46/178.23 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 178.46/178.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 178.46/178.23 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.46/178.23 => ( ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 178.46/178.23 => ? [B_xa] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 178.46/178.23 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) )
% 178.46/178.23 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_max__extp_Osimps,axiom,
% 178.46/178.23 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 178.46/178.23 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 178.46/178.23 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 178.46/178.23 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 178.46/178.23 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 178.46/178.23 & ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 178.46/178.23 => ? [B_xa] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 178.46/178.23 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_fun__lub__def,axiom,
% 178.46/178.23 ! [V_x_2,V_A_2,V_L_2,T_d,T_b,T_c] : c_Partial__Function_Ofun__lub(T_c,T_b,T_d,V_L_2,V_A_2,V_x_2) = hAPP(V_L_2,hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(tc_fun(T_d,T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),T_c),hAPP(c_COMBS(tc_fun(T_d,T_c),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_d,T_c)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_d,T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_d,T_c))),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_fun(T_d,T_c),T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_d,T_c),T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,tc_fun(T_d,T_c))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_d,T_c),T_d,T_c),c_COMBI(tc_fun(T_d,T_c))),V_x_2)))))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_lexord__trans,axiom,
% 178.46/178.23 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_z_2)),c_List_Olexord(T_b,V_r_2)))
% 178.46/178.23 => ( c_Relation_Otrans(T_b,V_r_2)
% 178.46/178.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_z_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_trans__less__than,axiom,
% 178.46/178.23 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_trans__lex__prod,axiom,
% 178.46/178.23 ! [V_R2_2,T_c,V_R1_2,T_b] :
% 178.46/178.23 ( c_Relation_Otrans(T_b,V_R1_2)
% 178.46/178.23 => ( c_Relation_Otrans(T_c,V_R2_2)
% 178.46/178.23 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_trans__inv__image,axiom,
% 178.46/178.23 ! [V_f_2,T_c,V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Otrans(T_b,V_r_2)
% 178.46/178.23 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_trans__O__subset,axiom,
% 178.46/178.23 ! [V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Otrans(T_b,V_r_2)
% 178.46/178.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),V_r_2)),V_r_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_trans__Int,axiom,
% 178.46/178.23 ! [V_s_2,V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Otrans(T_b,V_r_2)
% 178.46/178.23 => ( c_Relation_Otrans(T_b,V_s_2)
% 178.46/178.23 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_trans__converse,axiom,
% 178.46/178.23 ! [V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 178.46/178.23 <=> c_Relation_Otrans(T_b,V_r_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_listrel__trans,axiom,
% 178.46/178.23 ! [V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Otrans(T_b,V_r_2)
% 178.46/178.23 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_lexord__transI,axiom,
% 178.46/178.23 ! [V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Otrans(T_b,V_r_2)
% 178.46/178.23 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_trans__finite__psubset,axiom,
% 178.46/178.23 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_trans__Id__on,axiom,
% 178.46/178.23 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_trancl__id,axiom,
% 178.46/178.23 ! [V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Otrans(T_b,V_r_2)
% 178.46/178.23 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_trans__trancl,axiom,
% 178.46/178.23 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_trans__Id,axiom,
% 178.46/178.23 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_trans__rtrancl,axiom,
% 178.46/178.23 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_trans__reflclI,axiom,
% 178.46/178.23 ! [V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Otrans(T_b,V_r_2)
% 178.46/178.23 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_transD,axiom,
% 178.46/178.23 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Otrans(T_b,V_r_2)
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 178.46/178.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),V_r_2)) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_trans__def,axiom,
% 178.46/178.23 ! [V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Otrans(T_b,V_r_2)
% 178.46/178.23 <=> ! [B_x,B_y] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 178.46/178.23 => ! [B_z] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_z)),V_r_2))
% 178.46/178.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_z)),V_r_2)) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_transp__def,axiom,
% 178.46/178.23 ! [V_r_2,T_b] :
% 178.46/178.23 ( c_Predicate_Otransp(T_b,V_r_2)
% 178.46/178.23 <=> c_Relation_Otrans(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_trans__diff__Id,axiom,
% 178.46/178.23 ! [V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Otrans(T_b,V_r_2)
% 178.46/178.23 => ( c_Relation_Oantisym(T_b,V_r_2)
% 178.46/178.23 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_antisym__subset,axiom,
% 178.46/178.23 ! [V_s_2,V_r_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 178.46/178.23 => ( c_Relation_Oantisym(T_b,V_s_2)
% 178.46/178.23 => c_Relation_Oantisym(T_b,V_r_2) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_antisym__Id,axiom,
% 178.46/178.23 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_transpE,axiom,
% 178.46/178.23 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 178.46/178.23 ( c_Predicate_Otransp(T_b,V_r_2)
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2))
% 178.46/178.23 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_antisym__empty,axiom,
% 178.46/178.23 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_antisym__converse,axiom,
% 178.46/178.23 ! [V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 178.46/178.23 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_antisym__Id__on,axiom,
% 178.46/178.23 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_antisymD,axiom,
% 178.46/178.23 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Oantisym(T_b,V_r_2)
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),V_r_2))
% 178.46/178.23 => V_a_2 = V_b_2 ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_antisym__def,axiom,
% 178.46/178.23 ! [V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Oantisym(T_b,V_r_2)
% 178.46/178.23 <=> ! [B_x,B_y] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2))
% 178.46/178.23 => B_x = B_y ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_antisym__reflcl,axiom,
% 178.46/178.23 ! [V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Oantisym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))
% 178.46/178.23 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_acyclic__impl__antisym__rtrancl,axiom,
% 178.46/178.23 ! [V_r_2,T_b] :
% 178.46/178.23 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 178.46/178.23 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_equivpE,axiom,
% 178.46/178.23 ! [V_R_2,T_b] :
% 178.46/178.23 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 178.46/178.23 => ~ ( c_Predicate_Oreflp(T_b,V_R_2)
% 178.46/178.23 => ( c_Predicate_Osymp(T_b,V_R_2)
% 178.46/178.23 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_equivpI,axiom,
% 178.46/178.23 ! [V_R_2,T_b] :
% 178.46/178.23 ( c_Predicate_Oreflp(T_b,V_R_2)
% 178.46/178.23 => ( c_Predicate_Osymp(T_b,V_R_2)
% 178.46/178.23 => ( c_Predicate_Otransp(T_b,V_R_2)
% 178.46/178.23 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sympE,axiom,
% 178.46/178.23 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 178.46/178.23 ( c_Predicate_Osymp(T_b,V_r_2)
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 178.46/178.23 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_equivp__reflp__symp__transp,axiom,
% 178.46/178.23 ! [V_R_2,T_b] :
% 178.46/178.23 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 178.46/178.23 <=> ( c_Predicate_Oreflp(T_b,V_R_2)
% 178.46/178.23 & c_Predicate_Osymp(T_b,V_R_2)
% 178.46/178.23 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sym__trans__comp__subset,axiom,
% 178.46/178.23 ! [V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Osym(T_b,V_r_2)
% 178.46/178.23 => ( c_Relation_Otrans(T_b,V_r_2)
% 178.46/178.23 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2)),V_r_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_part__equivpI,axiom,
% 178.46/178.23 ! [T_b,V_R_2] :
% 178.46/178.23 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 178.46/178.23 => ( c_Predicate_Osymp(T_b,V_R_2)
% 178.46/178.23 => ( c_Predicate_Otransp(T_b,V_R_2)
% 178.46/178.23 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sym__def,axiom,
% 178.46/178.23 ! [V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Osym(T_b,V_r_2)
% 178.46/178.23 <=> ! [B_x,B_y] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 178.46/178.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_symD,axiom,
% 178.46/178.23 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Osym(T_b,V_r_2)
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 178.46/178.23 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),V_r_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sym__rtrancl,axiom,
% 178.46/178.23 ! [V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Osym(T_b,V_r_2)
% 178.46/178.23 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sym__Id,axiom,
% 178.46/178.23 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sym__Un,axiom,
% 178.46/178.23 ! [V_s_2,V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Osym(T_b,V_r_2)
% 178.46/178.23 => ( c_Relation_Osym(T_b,V_s_2)
% 178.46/178.23 => c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sym__trancl,axiom,
% 178.46/178.23 ! [V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Osym(T_b,V_r_2)
% 178.46/178.23 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sym__Id__on,axiom,
% 178.46/178.23 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_part__equivp__transp,axiom,
% 178.46/178.23 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 178.46/178.23 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 178.46/178.23 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_part__equivp__symp,axiom,
% 178.46/178.23 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 178.46/178.23 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 178.46/178.23 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_part__equivp__def,axiom,
% 178.46/178.23 ! [V_R_2,T_b] :
% 178.46/178.23 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 178.46/178.23 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 178.46/178.23 & ! [B_x,B_y] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 178.46/178.23 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 178.46/178.23 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y))
% 178.46/178.23 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_listrel__sym,axiom,
% 178.46/178.23 ! [V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Osym(T_b,V_r_2)
% 178.46/178.23 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sym__converse,axiom,
% 178.46/178.23 ! [V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 178.46/178.23 <=> c_Relation_Osym(T_b,V_r_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sym__conv__converse__eq,axiom,
% 178.46/178.23 ! [V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Osym(T_b,V_r_2)
% 178.46/178.23 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_equivp__implies__part__equivp,axiom,
% 178.46/178.23 ! [V_R_2,T_b] :
% 178.46/178.23 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 178.46/178.23 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sym__Int,axiom,
% 178.46/178.23 ! [V_s_2,V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Osym(T_b,V_r_2)
% 178.46/178.23 => ( c_Relation_Osym(T_b,V_s_2)
% 178.46/178.23 => c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sym__Un__converse,axiom,
% 178.46/178.23 ! [V_r_2,T_b] : c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sym__inv__image,axiom,
% 178.46/178.23 ! [V_f_2,T_c,V_r_2,T_b] :
% 178.46/178.23 ( c_Relation_Osym(T_b,V_r_2)
% 178.46/178.23 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_sym__Int__converse,axiom,
% 178.46/178.23 ! [V_r_2,T_b] : c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_equivE,axiom,
% 178.46/178.23 ! [V_r_2,V_A_2,T_b] :
% 178.46/178.23 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 178.46/178.23 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 178.46/178.23 => ( c_Relation_Osym(T_b,V_r_2)
% 178.46/178.23 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_equivI,axiom,
% 178.46/178.23 ! [V_r_2,V_A_2,T_b] :
% 178.46/178.23 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 178.46/178.23 => ( c_Relation_Osym(T_b,V_r_2)
% 178.46/178.23 => ( c_Relation_Otrans(T_b,V_r_2)
% 178.46/178.23 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_equiv__def,axiom,
% 178.46/178.23 ! [V_r_2,V_A_2,T_b] :
% 178.46/178.23 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 178.46/178.23 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 178.46/178.23 & c_Relation_Osym(T_b,V_r_2)
% 178.46/178.23 & c_Relation_Otrans(T_b,V_r_2) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_symp__def,axiom,
% 178.46/178.23 ! [V_r_2,T_b] :
% 178.46/178.23 ( c_Predicate_Osymp(T_b,V_r_2)
% 178.46/178.23 <=> c_Relation_Osym(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_part__equivp__refl__symp__transp,axiom,
% 178.46/178.23 ! [V_R_2,T_b] :
% 178.46/178.23 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 178.46/178.23 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 178.46/178.23 & c_Predicate_Osymp(T_b,V_R_2)
% 178.46/178.23 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_part__equivpE,axiom,
% 178.46/178.23 ! [V_R_2,T_b] :
% 178.46/178.23 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 178.46/178.23 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 178.46/178.23 => ( c_Predicate_Osymp(T_b,V_R_2)
% 178.46/178.23 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_part__equivp__typedef,axiom,
% 178.46/178.23 ! [V_R_2,T_b] :
% 178.46/178.23 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 178.46/178.23 => ? [B_d] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBS(T_b,T_b,tc_HOL_Obool),V_R_2),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b)),c_fequal)),V_R_2))))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_inv__o__cancel,axiom,
% 178.46/178.23 ! [V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.46/178.23 => hAPP(c_Fun_Ocomp(T_c,T_b,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_b) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_inj__iff,axiom,
% 178.46/178.23 ! [V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.46/178.23 <=> hAPP(c_Fun_Ocomp(T_c,T_b,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_b) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_inv__def,axiom,
% 178.46/178.23 ! [V_y_2,V_f_2,T_c,T_b] : hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2) = c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_y_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_inv__into__def,axiom,
% 178.46/178.23 ! [V_x_2,V_f_2,V_A_2,T_c,T_b] : hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_x_2))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_image__inv__into__cancel,axiom,
% 178.46/178.23 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 178.46/178.23 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2))
% 178.46/178.23 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2)),V_B_H_2)) = V_B_H_2 ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_image__surj__f__inv__f,axiom,
% 178.46/178.23 ! [V_A_2,V_f_2,T_b,T_c] :
% 178.46/178.23 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 178.46/178.23 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)),V_A_2)) = V_A_2 ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_surj__f__inv__f,axiom,
% 178.46/178.23 ! [V_y_2,V_f_2,T_b,T_c] :
% 178.46/178.23 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 178.46/178.23 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),V_y_2)) = V_y_2 ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_surj__iff__all,axiom,
% 178.46/178.23 ! [V_f_2,T_b,T_c] :
% 178.46/178.23 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 178.46/178.23 <=> ! [B_x] : hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),B_x)) = B_x ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_inv__into__injective,axiom,
% 178.46/178.23 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] :
% 178.46/178.23 ( hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2)
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 178.46/178.23 => V_x_2 = V_y_2 ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_inv__into__into,axiom,
% 178.46/178.23 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 178.46/178.23 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_x_2)),V_A_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_f__inv__into__f,axiom,
% 178.46/178.23 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 178.46/178.23 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_inv__into__f__eq,axiom,
% 178.46/178.23 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.46/178.23 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 178.46/178.23 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_inv__into__f__f,axiom,
% 178.46/178.23 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 178.46/178.23 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_inv__f__f,axiom,
% 178.46/178.23 ! [V_x_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.46/178.23 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_inv__f__eq,axiom,
% 178.46/178.23 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.46/178.23 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 178.46/178.23 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2) = V_x_2 ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_inv__id,axiom,
% 178.46/178.23 ! [T_b] : c_Hilbert__Choice_Oinv__into(T_b,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Fun_Oid(T_b)) = c_Fun_Oid(T_b) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_surj__imp__inj__inv,axiom,
% 178.46/178.23 ! [V_f_2,T_b,T_c] :
% 178.46/178.23 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 178.46/178.23 => c_Fun_Oinj__on(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_inv__image__comp,axiom,
% 178.46/178.23 ! [V_X_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.46/178.23 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_X_2)) = V_X_2 ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_image__inv__f__f,axiom,
% 178.46/178.23 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.46/178.23 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_inj__imp__surj__inv,axiom,
% 178.46/178.23 ! [V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.46/178.23 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_inv__into__image__cancel,axiom,
% 178.46/178.23 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2))
% 178.46/178.23 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = V_S_2 ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_inj__on__inv__into,axiom,
% 178.46/178.23 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 178.46/178.23 => c_Fun_Oinj__on(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_B_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_o__inv__o__cancel,axiom,
% 178.46/178.23 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.46/178.23 => hAPP(c_Fun_Ocomp(T_c,T_d,T_b,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))),V_f_2) = V_g_2 ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_inv__into__comp,axiom,
% 178.46/178.23 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))
% 178.46/178.23 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))))
% 178.46/178.23 => hAPP(c_Hilbert__Choice_Oinv__into(T_d,T_c,V_A_2,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Hilbert__Choice_Oinv__into(T_d,T_b,V_A_2,V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_surj__iff,axiom,
% 178.46/178.23 ! [V_f_2,T_b,T_c] :
% 178.46/178.23 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 178.46/178.23 <=> hAPP(c_Fun_Ocomp(T_c,T_b,T_b,V_f_2),c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)) = c_Fun_Oid(T_b) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_inj__transfer,axiom,
% 178.46/178.23 ! [V_x_2,V_Pa_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.46/178.23 => ( ! [B_y] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 178.46/178.23 => hBOOL(hAPP(V_Pa_2,hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),B_y))) )
% 178.46/178.23 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_fold__image__UN__disjoint,axiom,
% 178.46/178.23 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] :
% 178.46/178.23 ( class_Groups_Ocomm__monoid__mult(T_d)
% 178.46/178.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2))
% 178.46/178.23 => ( ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 178.46/178.23 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 178.46/178.23 => ( ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 178.46/178.23 => ! [B_xa] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2))
% 178.46/178.23 => ( B_x != B_xa
% 178.46/178.23 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,B_x)),hAPP(V_A_2,B_xa)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) )
% 178.46/178.23 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),T_d,T_b),hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),c_Groups_Oone__class_Oone(T_d))),V_A_2)),c_Groups_Oone__class_Oone(T_d)),V_I_2) ) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_nat__of__cases,axiom,
% 178.46/178.23 ! [V_y_2] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 178.46/178.23 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_nat__of__induct,axiom,
% 178.46/178.23 ! [V_Pa_2,V_y_2] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 178.46/178.23 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Onat__of,B_x)))
% 178.46/178.23 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_of__nat__cases,axiom,
% 178.46/178.23 ! [V_x_2] :
% 178.46/178.23 ~ ! [B_y] :
% 178.46/178.23 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y)
% 178.46/178.23 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_of__nat__induct,axiom,
% 178.46/178.23 ! [V_x_2,V_Pa_2] :
% 178.46/178.23 ( ! [B_y] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 178.46/178.23 => hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) )
% 178.46/178.23 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_lazy__sequence_Orecs_I1_J,axiom,
% 178.46/178.23 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = V_f1_2 ).
% 178.46/178.23
% 178.46/178.23 fof(fact_beyond__def,axiom,
% 178.46/178.23 ! [V_l,V_k] :
% 178.46/178.23 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 178.46/178.23 => c_Quickcheck_Obeyond(V_k,V_l) = V_l )
% 178.46/178.23 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 178.46/178.23 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_beyond__zero,axiom,
% 178.46/178.23 ! [V_k] : c_Quickcheck_Obeyond(V_k,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_lazy__sequence_Orecs_I2_J,axiom,
% 178.46/178.23 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,V_lazy__sequence_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__image__Collect__eq,axiom,
% 178.46/178.23 ! [V_Pa_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 178.46/178.23 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),V_Pa_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_curry__def,axiom,
% 178.46/178.23 ! [V_y_2,V_x_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_c_2),V_x_2),V_y_2) = hAPP(V_c_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_curryI,axiom,
% 178.46/178.23 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] :
% 178.46/178.23 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 178.46/178.23 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__betw__id,axiom,
% 178.46/178.23 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_o__inv__distrib,axiom,
% 178.46/178.23 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 178.46/178.23 => ( c_Fun_Obij__betw(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.46/178.23 => c_Hilbert__Choice_Oinv__into(T_d,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Hilbert__Choice_Oinv__into(T_d,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_inv__inv__eq,axiom,
% 178.46/178.23 ! [V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 178.46/178.23 => c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) = V_f_2 ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__imp__bij__inv,axiom,
% 178.46/178.23 ! [V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 178.46/178.23 => c_Fun_Obij__betw(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_inv__into__inv__into__eq,axiom,
% 178.46/178.23 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 178.46/178.23 => hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_H_2,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2)),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__betw__inv__into,axiom,
% 178.46/178.23 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 178.46/178.23 => c_Fun_Obij__betw(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_B_2,V_A_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_split__curry,axiom,
% 178.46/178.23 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),c_Product__Type_Ocurry(T_b,T_c,T_d,V_f_2)) = V_f_2 ).
% 178.46/178.23
% 178.46/178.23 fof(fact_curry__split,axiom,
% 178.46/178.23 ! [V_f_2,T_d,T_c,T_b] : c_Product__Type_Ocurry(T_b,T_c,T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)) = V_f_2 ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__betw__combine,axiom,
% 178.46/178.23 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 178.46/178.23 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2)
% 178.46/178.23 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 178.46/178.23 => c_Fun_Obij__betw(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2)) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__betw__Disj__Un,axiom,
% 178.46/178.23 ! [V_f_2,V_B_H_2,V_A_H_2,T_c,V_B_2,V_A_2,T_b] :
% 178.46/178.23 ( 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))
% 178.46/178.23 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_H_2),V_B_H_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 178.46/178.23 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 178.46/178.23 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2)
% 178.46/178.23 => c_Fun_Obij__betw(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_H_2),V_B_H_2)) ) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__id,axiom,
% 178.46/178.23 ! [T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__betw__id__iff,axiom,
% 178.46/178.23 ! [V_B_2,V_A_2,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_B_2)
% 178.46/178.23 <=> V_A_2 = V_B_2 ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_BIJ,axiom,
% 178.46/178.23 ! [V_B_2,T_c,V_A_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.46/178.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 178.46/178.23 => ( ? [B_f] : c_Fun_Obij__betw(T_b,T_c,B_f,V_A_2,V_B_2)
% 178.46/178.23 <=> hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__betw__finite,axiom,
% 178.46/178.23 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 178.46/178.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 178.46/178.23 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__betw__empty1,axiom,
% 178.46/178.23 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 178.46/178.23 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__betw__empty2,axiom,
% 178.46/178.23 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))
% 178.46/178.23 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__betw__the__inv__into,axiom,
% 178.46/178.23 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 178.46/178.23 => c_Fun_Obij__betw(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_B_2,V_A_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__betw__same__card,axiom,
% 178.46/178.23 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 178.46/178.23 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__is__inj,axiom,
% 178.46/178.23 ! [V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 178.46/178.23 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__betw__imp__inj__on,axiom,
% 178.46/178.23 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 178.46/178.23 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__betw__def,axiom,
% 178.46/178.23 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 178.46/178.23 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.46/178.23 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = V_B_2 ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_inj__on__imp__bij__betw,axiom,
% 178.46/178.23 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.46/178.23 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__betw__imp__surj,axiom,
% 178.46/178.23 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 178.46/178.23 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__is__surj,axiom,
% 178.46/178.23 ! [V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 178.46/178.23 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__betw__subset,axiom,
% 178.46/178.23 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 178.46/178.23 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) = V_B_H_2
% 178.46/178.23 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__def,axiom,
% 178.46/178.23 ! [V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 178.46/178.23 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.46/178.23 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bijI,axiom,
% 178.46/178.23 ! [V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 178.46/178.23 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 178.46/178.23 => c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__image__Compl__eq,axiom,
% 178.46/178.23 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 178.46/178.23 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_finite__vimage__iff,axiom,
% 178.46/178.23 ! [V_F_2,V_h_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 178.46/178.23 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 178.46/178.23 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_curryD,axiom,
% 178.46/178.23 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 178.46/178.23 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_curryE,axiom,
% 178.46/178.23 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 178.46/178.23 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_curry__conv,axiom,
% 178.46/178.23 ! [V_b_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_f_2),V_a_2),V_b_2) = hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__comp,axiom,
% 178.46/178.23 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 178.46/178.23 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 178.46/178.23 => c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__betw__trans,axiom,
% 178.46/178.23 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 178.46/178.23 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2)
% 178.46/178.23 => c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2,V_C_2) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__betw__comp__iff,axiom,
% 178.46/178.23 ! [V_A_H_H_2,V_f_H_2,T_d,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 178.46/178.23 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 178.46/178.23 <=> c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__betw__comp__iff2,axiom,
% 178.46/178.23 ! [V_A_2,V_f_2,T_d,V_A_H_H_2,V_A_H_2,V_f_H_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),V_A_H_2))
% 178.46/178.23 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2)
% 178.46/178.23 <=> c_Fun_Obij__betw(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__image__INT,axiom,
% 178.46/178.23 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 178.46/178.23 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_Oimage(T_b,T_c,V_f_2)),V_B_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_vimage__subset__eq,axiom,
% 178.46/178.23 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)),V_A_2))
% 178.46/178.23 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bij__vimage__eq__inv__image,axiom,
% 178.46/178.23 ! [V_A_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 178.46/178.23 => hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_A_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_ex__bij__betw__nat__finite__1,axiom,
% 178.46/178.23 ! [V_M_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 178.46/178.23 => ? [B_h] : c_Fun_Obij__betw(tc_Nat_Onat,T_b,B_h,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_M_2)),V_M_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_Cantor__Bernstein,axiom,
% 178.46/178.23 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 178.46/178.23 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2))
% 178.46/178.23 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 178.46/178.23 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_B_2)),V_A_2))
% 178.46/178.23 => ? [B_h] : c_Fun_Obij__betw(T_b,T_c,B_h,V_A_2,V_B_2) ) ) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_ex__bij__betw__nat__finite,axiom,
% 178.46/178.23 ! [V_M_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 178.46/178.23 => ? [B_h] : c_Fun_Obij__betw(tc_Nat_Onat,T_b,B_h,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_M_2)),V_M_2) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_ex__bij__betw__finite__nat,axiom,
% 178.46/178.23 ! [V_M_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 178.46/178.23 => ? [B_h] : c_Fun_Obij__betw(T_b,tc_Nat_Onat,B_h,V_M_2,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_M_2))) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_refl__on__UNION,axiom,
% 178.46/178.23 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 178.46/178.23 ( ! [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 178.46/178.23 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 178.46/178.23 => c_Relation_Orefl__on(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_S_2),V_r_2)) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_bex__reg__eqv,axiom,
% 178.46/178.23 ! [V_Pa_2,V_R_2,T_b] :
% 178.46/178.23 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 178.46/178.23 => ( ? [B_x] :
% 178.46/178.23 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 178.46/178.23 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 178.46/178.23 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 178.46/178.23
% 178.46/178.23 fof(fact_Respects__def,axiom,
% 178.46/178.23 ! [V_x_2,V_R_2,T_b] :
% 178.46/178.23 ( hBOOL(hAPP(c_Quotient_ORespects(T_b,V_R_2),V_x_2))
% 178.46/178.24 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_in__respects,axiom,
% 178.46/178.24 ! [V_R_2,V_x_2,T_b] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Quotient_ORespects(T_b,V_R_2)))
% 178.46/178.24 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_bex__reg__right,axiom,
% 178.46/178.24 ! [V_Pa_2,V_Qa_2,V_R_2,T_b] :
% 178.46/178.24 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 178.46/178.24 => ( ! [B_x] :
% 178.46/178.24 ( hBOOL(hAPP(V_Qa_2,B_x))
% 178.46/178.24 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 178.46/178.24 => ( ? [B_x1] : hBOOL(hAPP(V_Qa_2,B_x1))
% 178.46/178.24 => ? [B_x] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 178.46/178.24 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_babs__reg__eqv,axiom,
% 178.46/178.24 ! [V_Pa_2,T_c,V_R_2,T_b] :
% 178.46/178.24 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 178.46/178.24 => c_Quotient_OBabs(T_b,T_c,c_Quotient_ORespects(T_b,V_R_2),V_Pa_2) = V_Pa_2 ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_Babs__def,axiom,
% 178.46/178.24 ! [V_m_2,T_c,V_p_2,V_x_2,T_b] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_p_2))
% 178.46/178.24 => hAPP(c_Quotient_OBabs(T_b,T_c,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_wf__weak__decr__stable,axiom,
% 178.46/178.24 ! [V_r_2,V_f_2,T_b] :
% 178.46/178.24 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 178.46/178.24 => ( c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2))
% 178.46/178.24 => ? [B_i] :
% 178.46/178.24 ! [B_k] : hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),B_k)) = hAPP(V_f_2,B_i) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_INT__greatest,axiom,
% 178.46/178.24 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] :
% 178.46/178.24 ( ! [B_x] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.46/178.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(V_B_2,B_x))) )
% 178.46/178.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_INT__anti__mono,axiom,
% 178.46/178.24 ! [V_g_2,V_f_2,T_c,V_A_2,V_B_2,T_b] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 178.46/178.24 => ( ! [B_x] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 178.46/178.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 178.46/178.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_g_2))) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_rtrancl__induct2,axiom,
% 178.46/178.24 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2))
% 178.46/178.24 => ( ! [B_a,B_b] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 178.46/178.24 => ! [B_aa,B_ba] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba))),V_r_2))
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b))
% 178.46/178.24 => hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba)) ) ) )
% 178.46/178.24 => hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2)) ) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_converse__rtranclE2,axiom,
% 178.46/178.24 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_c,T_b] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 178.46/178.24 => ( hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2) != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2)
% 178.46/178.24 => ~ ! [B_a,B_b] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))),V_r_2))
% 178.46/178.24 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) ) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_converse__rtrancl__induct2,axiom,
% 178.46/178.24 ! [V_Pa_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_bx_2),V_by_2))
% 178.46/178.24 => ( ! [B_a,B_b,B_aa,B_ba] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba))),V_r_2))
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(V_Pa_2,B_aa),B_ba))
% 178.46/178.24 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) ) )
% 178.46/178.24 => hBOOL(hAPP(hAPP(V_Pa_2,V_ax_2),V_ay_2)) ) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_congruentI,axiom,
% 178.46/178.24 ! [T_c,V_f_2,V_r_2,T_b] :
% 178.46/178.24 ( ! [B_y,B_z] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_z)),V_r_2))
% 178.46/178.24 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) )
% 178.46/178.24 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_congruent2I_H,axiom,
% 178.46/178.24 ! [T_d,V_f_2,V_r2_2,T_c,V_r1_2,T_b] :
% 178.46/178.24 ( ! [B_y1,B_z1] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y1),B_z1)),V_r1_2))
% 178.46/178.24 => ! [B_y2,B_z2] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_y2),B_z2)),V_r2_2))
% 178.46/178.24 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) )
% 178.46/178.24 => c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact__03,axiom,
% 178.46/178.24 ! [V_xqq,V_xq,T_a] : c_Lazy__Sequence_Oflat(T_a,c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Lazy__Sequence_Olazy__sequence(T_a),V_xq,V_xqq)) = c_Lazy__Sequence_Oappend(T_a,V_xq,c_Lazy__Sequence_Oflat(T_a,V_xqq)) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_list__all__iff__all__interval__nat,axiom,
% 178.46/178.24 ! [V_j_2,V_i_2,V_Pa_2] :
% 178.46/178.24 ( c_List_Olist__all(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2))
% 178.46/178.24 <=> c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact__04,axiom,
% 178.46/178.24 ! [T_a] : c_Lazy__Sequence_Oflat(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Lazy__Sequence_Olazy__sequence(T_a))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_all__interval__nat__def,axiom,
% 178.46/178.24 ! [V_j_2,V_i_2,V_Pa_2] :
% 178.46/178.24 ( c_List_Oall__interval__nat(V_Pa_2,V_i_2,V_j_2)
% 178.46/178.24 <=> ! [B_x] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)))
% 178.46/178.24 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_list__ex__iff__not__all__inverval__nat,axiom,
% 178.46/178.24 ! [V_j_2,V_i_2,V_Pa_2] :
% 178.46/178.24 ( c_List_Olist__ex(tc_Nat_Onat,V_Pa_2,c_List_Oupt(V_i_2,V_j_2))
% 178.46/178.24 <=> ~ c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat,c_fNot),V_Pa_2),V_i_2,V_j_2) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact__05,axiom,
% 178.46/178.24 ! [V_f_2,V_xq_2,T_b,T_c] : hAPP(c_Lazy__Sequence_Obind(T_c,T_b,V_xq_2),V_f_2) = c_Lazy__Sequence_Oflat(T_b,c_Lazy__Sequence_Omap(T_c,tc_Lazy__Sequence_Olazy__sequence(T_b),V_f_2,V_xq_2)) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_folding__image_Ocong,axiom,
% 178.46/178.24 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 178.46/178.24 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 178.46/178.24 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 178.46/178.24 => ( ! [B_x] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 178.46/178.24 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 178.46/178.24 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(V_F_2,V_h_2),V_A_2) ) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact__06,axiom,
% 178.46/178.24 ! [V_xq_2,V_x_2,V_f_2,T_b,T_c] : c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_x_2,V_xq_2)) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,hAPP(V_f_2,V_x_2),c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,V_xq_2)) ).
% 178.46/178.24
% 178.46/178.24 fof(fact__07,axiom,
% 178.46/178.24 ! [V_f_2,T_b,T_c] : c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_New__DSequence_Opos__map__def,axiom,
% 178.46/178.24 ! [V_i_2,V_xq_2,V_f_2,T_b,T_c] : c_New__DSequence_Opos__map(T_c,T_b,V_f_2,V_xq_2,V_i_2) = c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,hAPP(V_xq_2,V_i_2)) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_power__dvd__imp__le,axiom,
% 178.46/178.24 ! [V_n,V_m,V_i] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n)))
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i))
% 178.46/178.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Oorder__refl,axiom,
% 178.46/178.24 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd__0__right,axiom,
% 178.46/178.24 ! [V_a,T_a] :
% 178.46/178.24 ( class_Rings_Ocomm__semiring__1(T_a)
% 178.46/178.24 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd__1__left,axiom,
% 178.46/178.24 ! [V_k] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k)) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd__imp__le,axiom,
% 178.46/178.24 ! [V_n,V_k] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 178.46/178.24 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd__eq__mod__eq__0__number__of,axiom,
% 178.46/178.24 ! [V_y_2,V_x_2,T_b] :
% 178.46/178.24 ( ( class_Divides_Osemiring__div(T_b)
% 178.46/178.24 & class_Int_Onumber(T_b) )
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 178.46/178.24 <=> c_Divides_Odiv__class_Omod(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_OatLeastatMost__subset__iff,axiom,
% 178.46/178.24 ! [V_d_2,V_c_2,V_b_2,V_a_2] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2,V_d_2)))
% 178.46/178.24 <=> ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 178.46/178.24 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 178.46/178.24 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2)) ) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_power__le__dvd,axiom,
% 178.46/178.24 ! [V_m,V_b,V_n,V_a,T_a] :
% 178.46/178.24 ( class_Rings_Ocomm__semiring__1(T_a)
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_b))
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 178.46/178.24 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_b)) ) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd__power__le,axiom,
% 178.46/178.24 ! [V_m,V_n,V_y,V_x,T_a] :
% 178.46/178.24 ( class_Rings_Ocomm__semiring__1(T_a)
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 178.46/178.24 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_m))) ) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_le__imp__power__dvd,axiom,
% 178.46/178.24 ! [V_a,V_n,V_m,T_a] :
% 178.46/178.24 ( class_Rings_Ocomm__semiring__1(T_a)
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 178.46/178.24 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd__diffD1,axiom,
% 178.46/178.24 ! [V_n,V_m,V_k] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)))
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 178.46/178.24 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n)) ) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd__diffD,axiom,
% 178.46/178.24 ! [V_n,V_m,V_k] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)))
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 178.46/178.24 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m)) ) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_OatLeast__iff,axiom,
% 178.46/178.24 ! [V_k_2,V_i_2] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OatLeast(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2)))
% 178.46/178.24 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_OatMost__iff,axiom,
% 178.46/178.24 ! [V_k_2,V_i_2] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OatMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2)))
% 178.46/178.24 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_OlessThan__iff,axiom,
% 178.46/178.24 ! [V_k_2,V_i_2] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OlessThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2)))
% 178.46/178.24 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2)) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_OgreaterThan__iff,axiom,
% 178.46/178.24 ! [V_k_2,V_i_2] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_i_2),c_SetInterval_Oord_OgreaterThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2)))
% 178.46/178.24 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_i_2))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_i_2),V_k_2)) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_minus__dvd__iff,axiom,
% 178.46/178.24 ! [V_y_2,V_x_2,T_b] :
% 178.46/178.24 ( class_Rings_Ocomm__ring__1(T_b)
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),V_y_2))
% 178.46/178.24 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd__minus__iff,axiom,
% 178.46/178.24 ! [V_y_2,V_x_2,T_b] :
% 178.46/178.24 ( class_Rings_Ocomm__ring__1(T_b)
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)))
% 178.46/178.24 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_x_2),V_y_2)) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd__diff__nat,axiom,
% 178.46/178.24 ! [V_n,V_m,V_k] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_m))
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),V_n))
% 178.46/178.24 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n))) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd__diff,axiom,
% 178.46/178.24 ! [V_z,V_y,V_x,T_a] :
% 178.46/178.24 ( class_Rings_Ocomm__ring__1(T_a)
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_y))
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),V_z))
% 178.46/178.24 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z))) ) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd__neg__div,axiom,
% 178.46/178.24 ! [V_x,V_y,T_a] :
% 178.46/178.24 ( class_Divides_Oring__div(T_a)
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 178.46/178.24 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_y) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd__div__neg,axiom,
% 178.46/178.24 ! [V_x,V_y,T_a] :
% 178.46/178.24 ( class_Divides_Oring__div(T_a)
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 178.46/178.24 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_div__power,axiom,
% 178.46/178.24 ! [V_n,V_x,V_y,T_a] :
% 178.46/178.24 ( class_Divides_Osemiring__div(T_a)
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 178.46/178.24 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)),V_n) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_n)) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_OatLeastatMost__psubset__iff,axiom,
% 178.46/178.24 ! [V_d_2,V_c_2,V_b_2,V_a_2] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2)),c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2,V_d_2)))
% 178.46/178.24 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 178.46/178.24 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 178.46/178.24 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 178.46/178.24 & ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_a_2))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_c_2)) )
% 178.46/178.24 | ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_d_2))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_d_2),V_b_2)) ) ) ) )
% 178.46/178.24 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c_2),V_d_2)) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd__reduce,axiom,
% 178.46/178.24 ! [V_n_2,V_k_2] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2)))
% 178.46/178.24 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_n_2)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd__add,axiom,
% 178.46/178.24 ! [V_c,V_b,V_a,T_a] :
% 178.46/178.24 ( class_Rings_Ocomm__semiring__1(T_a)
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 178.46/178.24 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_nat__dvd__1__iff__1,axiom,
% 178.46/178.24 ! [V_m_2] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 178.46/178.24 <=> V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_one__dvd,axiom,
% 178.46/178.24 ! [V_a,T_a] :
% 178.46/178.24 ( class_Rings_Ocomm__semiring__1(T_a)
% 178.46/178.24 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd__trans,axiom,
% 178.46/178.24 ! [V_c,V_b,V_a,T_a] :
% 178.46/178.24 ( class_Rings_Ocomm__semiring__1(T_a)
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c))
% 178.46/178.24 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd__refl,axiom,
% 178.46/178.24 ! [V_a,T_a] :
% 178.46/178.24 ( class_Rings_Ocomm__semiring__1(T_a)
% 178.46/178.24 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_a)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Oless__asym,axiom,
% 178.46/178.24 ! [V_y,V_x] :
% 178.46/178.24 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 178.46/178.24 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Oless__trans,axiom,
% 178.46/178.24 ! [V_z,V_y,V_x] :
% 178.46/178.24 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 178.46/178.24 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Oless__asym_H,axiom,
% 178.46/178.24 ! [V_b,V_a] :
% 178.46/178.24 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 178.46/178.24 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b)) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Oless__le__trans,axiom,
% 178.46/178.24 ! [V_z,V_y,V_x] :
% 178.46/178.24 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Oord__less__eq__trans,axiom,
% 178.46/178.24 ! [V_c,V_b,V_a] :
% 178.46/178.24 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) )
% 178.46/178.24 => ( V_b = V_c
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Oless__imp__not__eq2,axiom,
% 178.46/178.24 ! [V_y,V_x] :
% 178.46/178.24 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 178.46/178.24 => V_y != V_x ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Oless__imp__not__eq,axiom,
% 178.46/178.24 ! [V_y,V_x] :
% 178.46/178.24 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 178.46/178.24 => V_x != V_y ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Oless__imp__not__less,axiom,
% 178.46/178.24 ! [V_y,V_x] :
% 178.46/178.24 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 178.46/178.24 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Oless__imp__le,axiom,
% 178.46/178.24 ! [V_y,V_x] :
% 178.46/178.24 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 178.46/178.24 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Oless__not__sym,axiom,
% 178.46/178.24 ! [V_y,V_x] :
% 178.46/178.24 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 178.46/178.24 => ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Oless__imp__neq,axiom,
% 178.46/178.24 ! [V_y,V_x] :
% 178.46/178.24 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 178.46/178.24 => V_x != V_y ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Ole__less__trans,axiom,
% 178.46/178.24 ! [V_z,V_y,V_x] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 178.46/178.24 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_y)) )
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_z),V_x)) ) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Oord__eq__less__trans,axiom,
% 178.46/178.24 ! [V_c,V_b,V_a] :
% 178.46/178.24 ( V_a = V_b
% 178.46/178.24 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_b)) )
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_c),V_a)) ) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Oorder__trans,axiom,
% 178.46/178.24 ! [V_z,V_y,V_x] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_z))
% 178.46/178.24 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_z)) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Oantisym,axiom,
% 178.46/178.24 ! [V_y,V_x] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x))
% 178.46/178.24 => V_x = V_y ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd__antisym,axiom,
% 178.46/178.24 ! [V_n,V_m] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m),V_n))
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_n),V_m))
% 178.46/178.24 => V_m = V_n ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Oord__le__eq__trans,axiom,
% 178.46/178.24 ! [V_c,V_b,V_a] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 178.46/178.24 => ( V_b = V_c
% 178.46/178.24 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Oord__eq__le__trans,axiom,
% 178.46/178.24 ! [V_c,V_b,V_a] :
% 178.46/178.24 ( V_a = V_b
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_c))
% 178.46/178.24 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_c)) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Ole__neq__trans,axiom,
% 178.46/178.24 ! [V_b,V_a] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 178.46/178.24 => ( V_a != V_b
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Ole__imp__less__or__eq,axiom,
% 178.46/178.24 ! [V_y,V_x] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 178.46/178.24 => ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y),V_x)) )
% 178.46/178.24 | V_x = V_y ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Oantisym__conv,axiom,
% 178.46/178.24 ! [V_x_2,V_y_2] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2))
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 178.46/178.24 <=> V_x_2 = V_y_2 ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Oeq__refl,axiom,
% 178.46/178.24 ! [V_y,V_x] :
% 178.46/178.24 ( V_x = V_y
% 178.46/178.24 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_y)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Oneq__le__trans,axiom,
% 178.46/178.24 ! [V_b,V_a] :
% 178.46/178.24 ( V_a != V_b
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 178.46/178.24 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a),V_b))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b),V_a)) ) ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Oless__le,axiom,
% 178.46/178.24 ! [V_y_2,V_x_2] :
% 178.46/178.24 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 178.46/178.24 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 178.46/178.24 & V_x_2 != V_y_2 ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Ole__less,axiom,
% 178.46/178.24 ! [V_y_2,V_x_2] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 178.46/178.24 <=> ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 178.46/178.24 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) )
% 178.46/178.24 | V_x_2 = V_y_2 ) ) ).
% 178.46/178.24
% 178.46/178.24 fof(fact_dvd_Oeq__iff,axiom,
% 178.46/178.24 ! [V_y_2,V_x_2] :
% 178.46/178.24 ( V_x_2 = V_y_2
% 178.46/178.24 <=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x_2),V_y_2))
% 178.46/178.24 & hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_y_2),V_x_2)) ) ) ).
% 178.46/178.24
% 178.46/178.24 %----Arity declarations (218)
% 178.46/178.24 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 178.46/178.24 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 178.46/178.24 ! [T_2,T_1] :
% 178.46/178.24 ( class_Lattices_Obounded__lattice(T_1)
% 178.46/178.24 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 178.46/178.24 ! [T_2,T_1] :
% 178.46/178.24 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 178.46/178.24 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 178.46/178.24 ! [T_2,T_1] :
% 178.46/178.24 ( class_Lattices_Obounded__lattice(T_1)
% 178.46/178.24 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 178.46/178.24 ! [T_2,T_1] :
% 178.46/178.24 ( class_Lattices_Obounded__lattice(T_1)
% 178.46/178.24 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 178.46/178.24 ! [T_2,T_1] :
% 178.46/178.24 ( class_Lattices_Olattice(T_1)
% 178.46/178.24 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 178.46/178.24 ! [T_2,T_1] :
% 178.46/178.24 ( class_Lattices_Olattice(T_1)
% 178.46/178.24 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 178.46/178.24 ! [T_2,T_1] :
% 178.46/178.24 ( class_Lattices_Odistrib__lattice(T_1)
% 178.46/178.24 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 178.46/178.24 ! [T_2,T_1] :
% 178.46/178.24 ( class_Lattices_Oboolean__algebra(T_1)
% 178.46/178.24 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_fun__Orderings_Opreorder,axiom,
% 178.46/178.24 ! [T_2,T_1] :
% 178.46/178.24 ( class_Orderings_Opreorder(T_1)
% 178.46/178.24 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 178.46/178.24 ! [T_1,T_2] :
% 178.46/178.24 ( ( class_Finite__Set_Ofinite(T_2)
% 178.46/178.24 & class_Finite__Set_Ofinite(T_1) )
% 178.46/178.24 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_fun__Lattices_Olattice,axiom,
% 178.46/178.24 ! [T_2,T_1] :
% 178.46/178.24 ( class_Lattices_Olattice(T_1)
% 178.46/178.24 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_fun__Orderings_Oorder,axiom,
% 178.46/178.24 ! [T_2,T_1] :
% 178.46/178.24 ( class_Orderings_Oorder(T_1)
% 178.46/178.24 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_fun__Orderings_Otop,axiom,
% 178.46/178.24 ! [T_2,T_1] :
% 178.46/178.24 ( class_Orderings_Otop(T_1)
% 178.46/178.24 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_fun__Orderings_Oord,axiom,
% 178.46/178.24 ! [T_2,T_1] :
% 178.46/178.24 ( class_Orderings_Oord(T_1)
% 178.46/178.24 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_fun__Orderings_Obot,axiom,
% 178.46/178.24 ! [T_2,T_1] :
% 178.46/178.24 ( class_Orderings_Obot(T_1)
% 178.46/178.24 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_fun__Groups_Ouminus,axiom,
% 178.46/178.24 ! [T_2,T_1] :
% 178.46/178.24 ( class_Groups_Ouminus(T_1)
% 178.46/178.24 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_fun__Groups_Ominus,axiom,
% 178.46/178.24 ! [T_2,T_1] :
% 178.46/178.24 ( class_Groups_Ominus(T_1)
% 178.46/178.24 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_fun__Enum_Oenum,axiom,
% 178.46/178.24 ! [T_1,T_2] :
% 178.46/178.24 ( ( class_Enum_Oenum(T_2)
% 178.46/178.24 & class_Enum_Oenum(T_1) )
% 178.46/178.24 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Com__Ocom__Nat_Osize,axiom,
% 178.46/178.24 class_Nat_Osize(tc_Com_Ocom) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 178.46/178.24 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 178.46/178.24 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 178.46/178.24 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 178.46/178.24 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 178.46/178.24 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 178.46/178.24 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 178.46/178.24 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 178.46/178.24 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 178.46/178.24 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 178.46/178.24 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 178.46/178.24 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 178.46/178.24 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 178.46/178.24 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 178.46/178.24 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 178.46/178.24 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 178.46/178.24 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 178.46/178.24 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 178.46/178.24 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 178.46/178.24 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 178.46/178.24 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 178.46/178.24 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 178.46/178.24 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom,
% 178.46/178.24 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 178.46/178.24 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 178.46/178.24 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 178.46/178.24 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 178.46/178.24 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 178.46/178.24 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 178.46/178.24 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 178.46/178.24 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 178.46/178.24 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 178.46/178.24 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 178.46/178.24 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 178.46/178.24 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 178.46/178.24 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 178.46/178.24 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 178.46/178.24 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 178.46/178.24 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 178.46/178.24 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 178.46/178.24 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 178.46/178.24 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 178.46/178.24 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 178.46/178.24 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 178.46/178.24 class_Orderings_Opreorder(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 178.46/178.24 class_Orderings_Olinorder(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 178.46/178.24 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 178.46/178.24 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 178.46/178.24 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 178.46/178.24 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 178.46/178.24 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 178.46/178.24 class_Lattices_Olattice(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 178.46/178.24 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 178.46/178.24 class_Divides_Oring__div(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 178.46/178.24 class_Rings_Omult__zero(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 178.46/178.24 class_Orderings_Oorder(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 178.46/178.24 class_Int_Oring__char__0(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 178.46/178.24 class_Int_Onumber__ring(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 178.46/178.24 class_Rings_Osemiring(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 178.46/178.24 class_Orderings_Oord(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 178.46/178.24 class_Groups_Ouminus(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 178.46/178.24 class_Groups_Osgn__if(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 178.46/178.24 class_Groups_Oabs__if(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 178.46/178.24 class_Rings_Oring__1(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 178.46/178.24 class_Groups_Ominus(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Power_Opower,axiom,
% 178.46/178.24 class_Power_Opower(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 178.46/178.24 class_Groups_Ozero(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Oring,axiom,
% 178.46/178.24 class_Rings_Oring(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 178.46/178.24 class_Rings_Oidom(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Int_Onumber,axiom,
% 178.46/178.24 class_Int_Onumber(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Int__Oint__Groups_Oone,axiom,
% 178.46/178.24 class_Groups_Oone(tc_Int_Oint) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 178.46/178.24 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 178.46/178.24 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 178.46/178.24 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 178.46/178.24 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 178.46/178.24 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 178.46/178.24 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 178.46/178.24 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 178.46/178.24 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 178.46/178.24 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 178.46/178.24 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 178.46/178.24 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 178.46/178.24 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 178.46/178.24 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 178.46/178.24 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 178.46/178.24 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 178.46/178.24 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 178.46/178.24 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 178.46/178.24 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 178.46/178.24 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 178.46/178.24 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 178.46/178.24 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 178.46/178.24 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 178.46/178.24 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 178.46/178.24 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 178.46/178.24 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 178.46/178.24 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 178.46/178.24 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 178.46/178.24 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 178.46/178.24 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 178.46/178.24 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 178.46/178.24 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 178.46/178.24 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 178.46/178.24 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 178.46/178.24 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 178.46/178.24 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 178.46/178.24 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 178.46/178.24 class_Lattices_Olattice(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 178.46/178.24 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 178.46/178.24 class_Orderings_Oorder(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 178.46/178.24 class_Rings_Osemiring(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 178.46/178.24 class_Orderings_Oord(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 178.46/178.24 class_Orderings_Obot(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 178.46/178.24 class_Groups_Ominus(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Power_Opower,axiom,
% 178.46/178.24 class_Power_Opower(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 178.46/178.24 class_Groups_Ozero(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 178.46/178.24 class_Int_Onumber(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 178.46/178.24 class_Groups_Oone(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 178.46/178.24 class_Nat_Osize(tc_Nat_Onat) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 178.46/178.24 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 178.46/178.24 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 178.46/178.24 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 178.46/178.24 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 178.46/178.24 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 178.46/178.24 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 178.46/178.24 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 178.46/178.24 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 178.46/178.24 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 178.46/178.24 class_Lattices_Olattice(tc_HOL_Obool) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 178.46/178.24 class_Orderings_Oorder(tc_HOL_Obool) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 178.46/178.24 class_Orderings_Otop(tc_HOL_Obool) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 178.46/178.24 class_Orderings_Oord(tc_HOL_Obool) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 178.46/178.24 class_Orderings_Obot(tc_HOL_Obool) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 178.46/178.24 class_Groups_Ouminus(tc_HOL_Obool) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 178.46/178.24 class_Groups_Ominus(tc_HOL_Obool) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 178.46/178.24 class_Enum_Oenum(tc_HOL_Obool) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 178.46/178.24 class_Nat_Osize(tc_HOL_Obool) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Com__Ostate__Nat_Osize,axiom,
% 178.46/178.24 class_Nat_Osize(tc_Com_Ostate) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom,
% 178.46/178.24 ! [T_1] :
% 178.46/178.24 ( class_Lazy__Sequence_Osmall__lazy(T_1)
% 178.46/178.24 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_List__Olist__Nat_Osize,axiom,
% 178.46/178.24 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 178.46/178.24 ! [T_1,T_2] :
% 178.46/178.24 ( ( class_Finite__Set_Ofinite(T_2)
% 178.46/178.24 & class_Finite__Set_Ofinite(T_1) )
% 178.46/178.24 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_sum__Enum_Oenum,axiom,
% 178.46/178.24 ! [T_1,T_2] :
% 178.46/178.24 ( ( class_Enum_Oenum(T_2)
% 178.46/178.24 & class_Enum_Oenum(T_1) )
% 178.46/178.24 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_sum__Nat_Osize,axiom,
% 178.46/178.24 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 178.46/178.24 ! [T_1] :
% 178.46/178.24 ( class_Finite__Set_Ofinite(T_1)
% 178.46/178.24 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 178.46/178.24 ! [T_1] :
% 178.46/178.24 ( class_Enum_Oenum(T_1)
% 178.46/178.24 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 178.46/178.24 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom,
% 178.46/178.24 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom,
% 178.46/178.24 ! [T_1,T_2] :
% 178.46/178.24 ( ( class_Lazy__Sequence_Osmall__lazy(T_2)
% 178.46/178.24 & class_Lazy__Sequence_Osmall__lazy(T_1) )
% 178.46/178.24 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 178.46/178.24 ! [T_1,T_2] :
% 178.46/178.24 ( ( class_Finite__Set_Ofinite(T_2)
% 178.46/178.24 & class_Finite__Set_Ofinite(T_1) )
% 178.46/178.24 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_prod__Enum_Oenum,axiom,
% 178.46/178.24 ! [T_1,T_2] :
% 178.46/178.24 ( ( class_Enum_Oenum(T_2)
% 178.46/178.24 & class_Enum_Oenum(T_1) )
% 178.46/178.24 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_prod__Nat_Osize,axiom,
% 178.46/178.24 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom,
% 178.46/178.24 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 178.46/178.24 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 178.46/178.24 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 178.46/178.24 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 178.46/178.24 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom,
% 178.46/178.24 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 178.46/178.24 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 178.46/178.24 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 178.46/178.24 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 178.46/178.24 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 178.46/178.24 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 178.46/178.24 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 178.46/178.24 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 178.46/178.24 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 178.46/178.24 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 178.46/178.24 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 178.46/178.24 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 178.46/178.24 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 178.46/178.24 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 178.46/178.24 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 178.46/178.24 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 178.46/178.24 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 178.46/178.24 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 178.46/178.24 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 178.46/178.24 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 178.46/178.24 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 178.46/178.24 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 178.46/178.24 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 178.46/178.24 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 178.46/178.24 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 178.46/178.24 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 178.46/178.24 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 178.46/178.24 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 178.46/178.24 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 178.46/178.24 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 178.46/178.24 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 178.46/178.24 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 178.46/178.24 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 178.46/178.24 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 178.46/178.24 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 178.46/178.24 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 178.46/178.24 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 178.46/178.24 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 178.46/178.24 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 178.46/178.24 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 178.46/178.24 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 178.46/178.24 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 178.46/178.24
% 178.46/178.24 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 178.46/178.24 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 178.46/178.24
% 178.46/178.24 %----Helper facts (20)
% 178.46/178.24 fof(help_c__COMBI__1,axiom,
% 178.46/178.24 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 178.46/178.24
% 178.46/178.24 fof(help_c__COMBK__1,axiom,
% 178.46/178.24 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 178.46/178.24
% 178.46/178.24 fof(help_c__COMBB__1,axiom,
% 178.46/178.24 ! [V_R_2,V_Qa_2,V_Pa_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_Pa_2),V_Qa_2),V_R_2) = hAPP(V_Pa_2,hAPP(V_Qa_2,V_R_2)) ).
% 178.46/178.24
% 178.46/178.24 fof(help_c__COMBC__1,axiom,
% 178.46/178.24 ! [V_R_2,V_Qa_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_Pa_2),V_Qa_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),V_Qa_2) ).
% 178.46/178.24
% 178.46/178.24 fof(help_c__COMBS__1,axiom,
% 178.46/178.24 ! [V_R_2,V_Qa_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_Pa_2),V_Qa_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),hAPP(V_Qa_2,V_R_2)) ).
% 178.46/178.24
% 178.46/178.24 fof(help_c__fequal__1,axiom,
% 178.46/178.24 ! [V_y_2,V_x_2] :
% 178.46/178.24 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 178.46/178.24 | V_x_2 = V_y_2 ) ).
% 178.46/178.24
% 178.46/178.24 fof(help_c__fequal__2,axiom,
% 178.46/178.24 ! [V_y_2,V_x_2] :
% 178.46/178.24 ( V_x_2 != V_y_2
% 178.46/178.24 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(help_c__fFalse__1,axiom,
% 178.46/178.24 ~ hBOOL(c_fFalse) ).
% 178.46/178.24
% 178.46/178.24 fof(help_c__fTrue__1,axiom,
% 178.46/178.24 hBOOL(c_fTrue) ).
% 178.46/178.24
% 178.46/178.24 fof(help_c__fNot__1,axiom,
% 178.46/178.24 ! [V_Pa_2] :
% 178.46/178.24 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2))
% 178.46/178.24 | ~ hBOOL(V_Pa_2) ) ).
% 178.46/178.24
% 178.46/178.24 fof(help_c__fNot__2,axiom,
% 178.46/178.24 ! [V_Pa_2] :
% 178.46/178.24 ( ~ ~ hBOOL(V_Pa_2)
% 178.46/178.24 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(help_c__fconj__1,axiom,
% 178.46/178.24 ! [V_Qa_2,V_Pa_2] :
% 178.46/178.24 ( ~ hBOOL(V_Pa_2)
% 178.46/178.24 | ~ hBOOL(V_Qa_2)
% 178.46/178.24 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(help_c__fconj__2,axiom,
% 178.46/178.24 ! [V_Qa_2,V_Pa_2] :
% 178.46/178.24 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2))
% 178.46/178.24 | hBOOL(V_Pa_2) ) ).
% 178.46/178.24
% 178.46/178.24 fof(help_c__fconj__3,axiom,
% 178.46/178.24 ! [V_Qa_2,V_Pa_2] :
% 178.46/178.24 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2))
% 178.46/178.24 | hBOOL(V_Qa_2) ) ).
% 178.46/178.24
% 178.46/178.24 fof(help_c__fdisj__1,axiom,
% 178.46/178.24 ! [V_Qa_2,V_Pa_2] :
% 178.46/178.24 ( ~ hBOOL(V_Pa_2)
% 178.46/178.24 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(help_c__fdisj__2,axiom,
% 178.46/178.24 ! [V_Pa_2,V_Qa_2] :
% 178.46/178.24 ( ~ hBOOL(V_Qa_2)
% 178.46/178.24 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(help_c__fdisj__3,axiom,
% 178.46/178.24 ! [V_Qa_2,V_Pa_2] :
% 178.46/178.24 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2))
% 178.46/178.24 | hBOOL(V_Pa_2)
% 178.46/178.24 | hBOOL(V_Qa_2) ) ).
% 178.46/178.24
% 178.46/178.24 fof(help_c__fimplies__1,axiom,
% 178.46/178.24 ! [V_Qa_2,V_Pa_2] :
% 178.46/178.24 ( hBOOL(V_Pa_2)
% 178.46/178.24 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(help_c__fimplies__2,axiom,
% 178.46/178.24 ! [V_Pa_2,V_Qa_2] :
% 178.46/178.24 ( ~ hBOOL(V_Qa_2)
% 178.46/178.24 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(help_c__fimplies__3,axiom,
% 178.46/178.24 ! [V_Qa_2,V_Pa_2] :
% 178.46/178.24 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2))
% 178.46/178.24 | ~ hBOOL(V_Pa_2)
% 178.46/178.24 | hBOOL(V_Qa_2) ) ).
% 178.46/178.24
% 178.46/178.24 %----Conjectures (2)
% 178.46/178.24 fof(conj_0,hypothesis,
% 178.46/178.24 ! [B_Z,B_s] :
% 178.46/178.24 ( hBOOL(hAPP(hAPP(v_P,B_Z),B_s))
% 178.46/178.24 => hBOOL(hAPP(hAPP(v_Q,B_Z),B_s)) ) ).
% 178.46/178.24
% 178.46/178.24 fof(conj_1,conjecture,
% 178.46/178.24 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),c_Com_Ocom_OSKIP),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ).
% 178.46/178.24
% 178.46/178.24 %------------------------------------------------------------------------------
% 178.46/178.24 %-------------------------------------------
% 178.46/178.24 % Proof found
% 178.46/178.24 % SZS status Theorem for theBenchmark
% 178.46/178.24 % SZS output start Proof
% 178.46/178.24 %ClaNum:10445(EqnAxiom:3108)
% 178.46/178.24 %VarNum:70960(SingletonVarNum:20498)
% 178.46/178.24 %MaxLitNum:8
% 178.46/178.24 %MaxfuncDepth:13
% 178.46/178.24 %SharedTerms:1017
% 178.46/178.24 %goalClause: 4739
% 178.46/178.24 %singleGoalClaCount:1
% 178.46/178.24 [3112]P1(a910)
% 178.46/178.24 [3113]P1(a914)
% 178.46/178.24 [3114]P106(a187)
% 178.46/178.24 [3115]P107(a910)
% 178.46/178.24 [3116]P107(a914)
% 178.46/178.24 [3117]P107(a1)
% 178.46/178.24 [3118]P107(a99)
% 178.46/178.24 [3119]P108(a910)
% 178.46/178.24 [3120]P108(a914)
% 178.46/178.24 [3121]P108(a1)
% 178.46/178.24 [3122]P108(a99)
% 178.46/178.24 [3123]P109(a914)
% 178.46/178.24 [3124]P109(a1)
% 178.46/178.24 [3125]P109(a99)
% 178.46/178.24 [3126]P110(a910)
% 178.46/178.24 [3127]P110(a914)
% 178.46/178.24 [3128]P110(a1)
% 178.46/178.24 [3129]P110(a99)
% 178.46/178.24 [3130]P2(a910)
% 178.46/178.24 [3131]P2(a914)
% 178.46/178.24 [3132]P2(a1)
% 178.46/178.24 [3133]P2(a99)
% 178.46/178.24 [3134]P78(a910)
% 178.46/178.24 [3135]P78(a914)
% 178.46/178.24 [3136]P78(a1)
% 178.46/178.24 [3137]P79(a910)
% 178.46/178.24 [3138]P101(a910)
% 178.46/178.24 [3139]P101(a914)
% 178.46/178.24 [3140]P101(a1)
% 178.46/178.24 [3141]P80(a1)
% 178.46/178.24 [3142]P3(a910)
% 178.46/178.24 [3143]P3(a917)
% 178.46/178.24 [3144]P67(a1)
% 178.46/178.24 [3145]P111(a1)
% 178.46/178.24 [3146]P68(a914)
% 178.46/178.24 [3147]P68(a1)
% 178.46/178.24 [3148]P68(a99)
% 178.46/178.24 [3149]P102(a910)
% 178.46/178.24 [3150]P102(a914)
% 178.46/178.24 [3151]P102(a1)
% 178.46/178.24 [3152]P99(a910)
% 178.46/178.24 [3153]P99(a914)
% 178.46/178.24 [3154]P99(a1)
% 178.46/178.24 [3155]P70(a914)
% 178.46/178.24 [3156]P70(a1)
% 178.46/178.24 [3157]P70(a99)
% 178.46/178.24 [3158]P84(a914)
% 178.46/178.24 [3159]P84(a1)
% 178.46/178.24 [3160]P84(a99)
% 178.46/178.24 [3161]P71(a914)
% 178.46/178.24 [3162]P71(a1)
% 178.46/178.24 [3163]P71(a99)
% 178.46/178.24 [3164]P72(a914)
% 178.46/178.24 [3165]P72(a1)
% 178.46/178.24 [3166]P72(a99)
% 178.46/178.24 [3167]P69(a914)
% 178.46/178.24 [3168]P69(a1)
% 178.46/178.24 [3169]P69(a99)
% 178.46/178.24 [3170]P85(a914)
% 178.46/178.24 [3171]P85(a1)
% 178.46/178.24 [3172]P85(a99)
% 178.46/178.24 [3173]P86(a914)
% 178.46/178.24 [3174]P86(a1)
% 178.46/178.24 [3175]P86(a99)
% 178.46/178.24 [3176]P74(a1)
% 178.46/178.24 [3177]P112(a1)
% 178.46/178.24 [3178]P113(a914)
% 178.46/178.24 [3179]P113(a1)
% 178.46/178.24 [3180]P113(a99)
% 178.46/178.24 [3181]P138(a914)
% 178.46/178.24 [3182]P138(a1)
% 178.46/178.24 [3183]P119(a1)
% 178.46/178.24 [3184]P139(a914)
% 178.46/178.24 [3185]P139(a1)
% 178.46/178.24 [3186]P139(a99)
% 178.46/178.24 [3187]P114(a914)
% 178.46/178.24 [3188]P114(a1)
% 178.46/178.24 [3189]P114(a99)
% 178.46/178.24 [3190]P4(a910)
% 178.46/178.24 [3191]P75(a914)
% 178.46/178.24 [3192]P75(a1)
% 178.46/178.24 [3193]P75(a99)
% 178.46/178.24 [3194]P81(a914)
% 178.46/178.24 [3195]P81(a1)
% 178.46/178.24 [3196]P81(a99)
% 178.46/178.24 [3197]P82(a914)
% 178.46/178.24 [3198]P82(a1)
% 178.46/178.24 [3199]P82(a99)
% 178.46/178.24 [3200]P125(a914)
% 178.46/178.24 [3201]P125(a1)
% 178.46/178.24 [3202]P125(a99)
% 178.46/178.24 [3203]P128(a1)
% 178.46/178.24 [3204]P88(a914)
% 178.46/178.24 [3205]P88(a1)
% 178.46/178.24 [3206]P88(a99)
% 178.46/178.24 [3207]P83(a914)
% 178.46/178.24 [3208]P83(a1)
% 178.46/178.24 [3209]P83(a99)
% 178.46/178.24 [3210]P76(a1)
% 178.46/178.24 [3211]P131(a914)
% 178.46/178.24 [3212]P131(a1)
% 178.46/178.24 [3213]P131(a99)
% 178.46/178.24 [3214]P140(a1)
% 178.46/178.24 [3215]P133(a914)
% 178.46/178.24 [3216]P133(a1)
% 178.46/178.24 [3217]P133(a99)
% 178.46/178.24 [3218]P143(a914)
% 178.46/178.24 [3219]P143(a1)
% 178.46/178.24 [3220]P143(a99)
% 178.46/178.24 [3221]P89(a914)
% 178.46/178.24 [3222]P89(a1)
% 178.46/178.24 [3223]P89(a99)
% 178.46/178.24 [3224]P134(a914)
% 178.46/178.24 [3225]P134(a1)
% 178.46/178.24 [3226]P134(a99)
% 178.46/178.24 [3227]P136(a914)
% 178.46/178.24 [3228]P136(a1)
% 178.46/178.24 [3229]P136(a99)
% 178.46/178.24 [3230]P135(a914)
% 178.46/178.24 [3231]P135(a1)
% 178.46/178.24 [3232]P135(a99)
% 178.46/178.24 [3233]P126(a1)
% 178.46/178.24 [3234]P127(a1)
% 178.46/178.24 [3235]P132(a914)
% 178.46/178.24 [3236]P132(a1)
% 178.46/178.24 [3237]P132(a99)
% 178.46/178.24 [3238]P120(a914)
% 178.46/178.24 [3239]P120(a1)
% 178.46/178.24 [3240]P120(a99)
% 178.46/178.24 [3241]P129(a914)
% 178.46/178.24 [3242]P129(a1)
% 178.46/178.24 [3243]P129(a99)
% 178.46/178.24 [3244]P130(a1)
% 178.46/178.24 [3245]P141(a1)
% 178.46/178.24 [3246]P93(a1)
% 178.46/178.24 [3247]P94(a914)
% 178.46/178.24 [3248]P94(a1)
% 178.46/178.24 [3249]P94(a99)
% 178.46/178.24 [3250]P95(a1)
% 178.46/178.24 [3251]P103(a914)
% 178.46/178.24 [3252]P103(a1)
% 178.46/178.24 [3253]P103(a99)
% 178.46/178.24 [3254]P144(a914)
% 178.46/178.24 [3255]P144(a1)
% 178.46/178.24 [3256]P144(a99)
% 178.46/178.24 [3257]P87(a1)
% 178.46/178.24 [3258]P137(a1)
% 178.46/178.24 [3259]P96(a910)
% 178.46/178.24 [3260]P90(a910)
% 178.46/178.24 [3261]P90(a1)
% 178.46/178.24 [3262]P121(a1)
% 178.46/178.24 [3263]P115(a1)
% 178.46/178.24 [3264]P142(a1)
% 178.46/178.24 [3265]P73(a1)
% 178.46/178.24 [3266]P60(a914)
% 178.46/178.24 [3267]P60(a1)
% 178.46/178.24 [3268]P60(a99)
% 178.46/178.24 [3269]P61(a1)
% 178.46/178.24 [3270]P116(a914)
% 178.46/178.24 [3271]P116(a1)
% 178.46/178.24 [3272]P116(a99)
% 178.46/178.24 [3273]P145(a914)
% 178.46/178.24 [3274]P145(a1)
% 178.46/178.24 [3275]P145(a99)
% 178.46/178.24 [3276]P91(a1)
% 178.46/178.24 [3277]P117(a910)
% 178.46/178.24 [3278]P100(a910)
% 178.46/178.24 [3279]P77(a914)
% 178.46/178.24 [3280]P77(a1)
% 178.46/178.24 [3281]P77(a99)
% 178.46/178.24 [3282]P118(a914)
% 178.46/178.24 [3283]P92(a914)
% 178.46/178.24 [3284]P92(a1)
% 178.46/178.24 [3285]P92(a99)
% 178.46/178.24 [3286]P62(a910)
% 178.46/178.24 [3287]P62(a917)
% 178.46/178.24 [3288]P105(a910)
% 178.46/178.24 [3289]P105(a914)
% 178.46/178.24 [3290]P105(a911)
% 178.46/178.24 [3291]P105(a99)
% 178.46/178.24 [3292]P105(a917)
% 178.46/178.24 [3293]P105(a912)
% 178.46/178.24 [3294]P105(a322)
% 178.46/178.24 [3295]P104(a1)
% 178.46/178.24 [3296]P104(a917)
% 178.46/178.24 [3297]P98(a910)
% 178.46/178.24 [3313]P37(a914,a239)
% 178.46/178.24 [3314]P37(a914,a316)
% 178.46/178.24 [3315]P38(a914,a239)
% 178.46/178.24 [4656]~E(a97,a82)
% 178.46/178.24 [4657]~P106(a238)
% 178.46/178.24 [3109]E(f2(a1),a82)
% 178.46/178.24 [3110]E(f3(a99),a4)
% 178.46/178.24 [3111]E(f100(a99),a5)
% 178.46/178.24 [3298]E(f188(a914),f2(a914))
% 178.46/178.24 [3299]E(f28(a25),f2(a914))
% 178.46/178.24 [3300]E(f101(a914),f232(a914))
% 178.46/178.24 [3301]E(f110(a914),f233(a914))
% 178.46/178.24 [3302]E(f102(a1),f31(a1))
% 178.46/178.24 [3303]E(f83(a238),f2(a914))
% 178.46/178.24 [3304]E(f83(a187),f2(a914))
% 178.46/178.24 [3305]P5(f77(a1))
% 178.46/178.24 [3306]P5(f2(a1))
% 178.46/178.24 [3362]P37(f921(a914,a914),a32)
% 178.46/178.24 [3707]E(f319(a914,a914,a239,a239),a32)
% 178.46/178.24 [4658]~E(f77(a1),f2(a1))
% 178.46/178.24 [3307]E(f6(f2(a99)),f2(a914))
% 178.46/178.24 [3308]E(f111(f2(a914)),f2(a914))
% 178.46/178.24 [3317]E(f326(f78(a1),a82),a82)
% 178.46/178.24 [3320]E(f326(a112,f2(a914)),f77(a914))
% 178.46/178.24 [3321]E(f326(a104,f77(a1)),f77(a914))
% 178.46/178.24 [3322]E(f326(a5,f77(a914)),f77(a99))
% 178.46/178.24 [3324]E(f326(a5,f2(a914)),f2(a99))
% 178.46/178.24 [3326]E(f326(f103(a1),a82),f2(a1))
% 178.46/178.24 [3327]E(f326(f103(a99),a82),f2(a99))
% 178.46/178.24 [3328]E(f326(a104,f2(a1)),f2(a914))
% 178.46/178.24 [3329]E(f326(f189(a910),a238),f2(a914))
% 178.46/178.24 [3330]E(f326(f189(a910),a187),f2(a914))
% 178.46/178.24 [3331]E(f326(f189(a911),a25),f2(a914))
% 178.46/178.24 [3332]E(f326(f103(a914),a82),f2(a914))
% 178.46/178.24 [3338]E(f326(f78(a1),f77(a1)),a97)
% 178.46/178.24 [3346]E(f326(f189(a99),f2(a99)),f2(a914))
% 178.46/178.24 [3347]E(f326(f100(a1),f77(a914)),f77(a1))
% 178.46/178.24 [3348]E(f326(f100(a1),f2(a914)),f2(a1))
% 178.46/178.24 [3349]E(f326(f78(a1),f2(a1)),f2(a1))
% 178.46/178.24 [3359]E(f326(a104,f77(a1)),f326(a112,f2(a914)))
% 178.46/178.24 [3360]E(f317(f921(a914,a914),a32),a33)
% 178.46/178.24 [3361]E(f318(f921(a914,a914),a32),a34)
% 178.46/178.24 [3388]E(f326(f281(a914),f2(a914)),f188(f922(a914,a910)))
% 178.46/178.24 [3389]E(f326(f282(a914),f2(a914)),f241(f922(a914,a910)))
% 178.46/178.24 [3397]P40(f188(f922(a1,a910)))
% 178.46/178.24 [3431]E(f326(f326(f3(a99),f2(a99)),f77(a99)),f2(a99))
% 178.46/178.24 [3506]P106(f326(f326(f235(a1),a97),f2(a1)))
% 178.46/178.24 [3530]P106(f326(f326(f234(a1),f2(a1)),f77(a1)))
% 178.46/178.24 [3532]P106(f326(f326(f235(a1),f2(a1)),f77(a1)))
% 178.46/178.24 [3738]E(f326(f326(f288(a914,a914,a914),a316),f306(a914,a316)),a239)
% 178.46/178.24 [3777]P41(a1,a914,a104,f326(f234(a1),f2(a1)))
% 178.46/178.24 [3781]E(f326(f326(f39(a914,f922(a914,a910)),f241(f922(a914,a910))),f303(a914)),f188(f922(a914,a910)))
% 178.46/178.24 [3782]E(f326(f326(f40(a914,f922(a914,a910)),f241(f922(a914,a910))),f281(a914)),f241(f922(a914,a910)))
% 178.46/178.24 [3783]E(f326(f326(f40(a914,f922(a914,a910)),f241(f922(a914,a910))),f300(a914)),f241(f922(a914,a910)))
% 178.46/178.24 [3784]E(f326(f326(f40(a914,f922(a914,a910)),f241(f922(a914,a910))),f282(a914)),f241(f922(a914,a910)))
% 178.46/178.24 [3800]P24(a914,a1,f100(a1),f241(f922(a914,a910)))
% 178.46/178.24 [3814]P41(a914,a1,f100(a1),f326(f18(a910,a914),a187))
% 178.46/178.24 [3950]E(f326(f72(a914,a99,a1,a5),a104),f103(a99))
% 178.46/178.24 [4173]P56(a99,a914,a22,a5,f241(f922(a914,a910)))
% 178.46/178.24 [4179]P56(a1,f922(f921(a914,a914),a910),a106,a88,a98)
% 178.46/178.24 [4434]E(f257(a1,a1,a1,a1,f31(a1),f78(a1)),a51)
% 178.46/178.24 [4673]~E(f326(f103(a1),a97),f326(f103(a1),a82))
% 178.46/178.24 [4674]~P106(f326(a193,f77(a1)))
% 178.46/178.24 [4675]~P106(f326(a193,f2(a1)))
% 178.46/178.24 [4712]~P106(f326(f326(f235(a1),a82),f2(a1)))
% 178.46/178.24 [3380]E(f326(f326(f3(a1),a97),a97),a82)
% 178.46/178.24 [3395]E(f326(f100(a1),f326(a112,f2(a914))),f77(a1))
% 178.46/178.24 [3460]E(f326(f35(a917),f241(f922(a917,a910))),f77(a914))
% 178.46/178.24 [3480]P106(f326(a193,f326(f103(a1),a97)))
% 178.46/178.24 [3482]P106(f326(f326(f234(a1),a97),a82))
% 178.46/178.24 [3484]P106(f326(f326(f235(a1),a97),a82))
% 178.46/178.24 [3541]E(f326(f326(f308(a914),f2(a914)),f188(f922(a914,a910))),f326(f300(a914),f2(a914)))
% 178.46/178.24 [3596]P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),a82)))
% 178.46/178.24 [3608]E(f326(f309(a914,a914,a112),f241(f922(a914,a910))),f326(f303(a914),f2(a914)))
% 178.46/178.24 [3645]P7(f921(a914,a914),f241(f922(f921(a914,a914),a910)),a108)
% 178.46/178.24 [3957]E(f326(f72(a914,a1,a99,f100(a1)),a22),a24)
% 178.46/178.24 [4018]P37(a914,f326(f261(f921(a914,a914)),f326(f256(a914,a914,a910),f235(a914))))
% 178.46/178.24 [4703]~P106(f326(a193,f326(f103(a1),a82)))
% 178.46/178.24 [4704]~P106(f326(f326(f234(a1),a82),a97))
% 178.46/178.24 [4705]~P106(f326(f326(f235(a1),a82),a82))
% 178.46/178.24 [4706]~P106(f326(f326(f235(a1),a82),a97))
% 178.46/178.24 [4707]~P106(f326(f326(f235(a1),a97),a97))
% 178.46/178.24 [4718]~P106(f326(f61(a914),f241(f922(a914,a910))))
% 178.46/178.24 [4719]~P106(f326(f61(a1),f241(f922(a1,a910))))
% 178.46/178.24 [4601]E(f326(f256(a1,a1,a910),f326(f326(f10(f922(a1,a910),f922(a1,a910),a1),f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a325),f326(f235(a1),f2(a1))))),f326(f326(f9(a1,a1,f922(a1,a910)),f326(f326(f10(f922(a1,f922(a1,a910)),f922(a1,f922(a1,a910)),a1),f9(a1,a1,a910)),f326(f326(f10(f922(a1,a1),f922(a1,f922(a1,a910)),a1),f326(f10(a1,f922(a1,a910),a1),a323)),a217))),f77(a1)))),a213)
% 178.46/178.24 [4739]~P23(a909,a923,f326(f326(f308(f913(a909)),f326(f326(f326(f90(a909),a924),a25),a925)),f188(f922(f913(a909),a910))))
% 178.46/178.24 [3682]E(f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97),f326(f78(a1),a97))
% 178.46/178.24 [3720]E(f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97),f326(f326(f3(a1),a82),a97))
% 178.46/178.24 [3883]E(f326(f326(f60(f921(a914,a914)),f241(f922(f921(a914,a914),a910))),a108),a98)
% 178.46/178.24 [3912]E(f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f77(a1))
% 178.46/178.24 [3913]E(f326(f103(a99),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f77(a99))
% 178.46/178.24 [3914]E(f326(f103(a914),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f77(a914))
% 178.46/178.24 [3918]E(f326(f103(a914),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(a112,f2(a914)))
% 178.46/178.24 [4301]E(f326(f326(f110(f922(f921(f921(a914,a914),f921(a914,a914)),a910)),a32),f306(f921(a914,a914),f188(f922(f921(f921(a914,a914),f921(a914,a914)),a910)))),a70)
% 178.46/178.24 [4367]E(f326(a88,f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),f326(f326(f251(a914,a914),f77(a914)),f2(a914))),f188(f922(f921(a914,a914),a910))))),f77(a1))
% 178.46/178.24 [4368]E(f326(a88,f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),f326(f326(f251(a914,a914),f2(a914)),f2(a914))),f188(f922(f921(a914,a914),a910))))),f2(a1))
% 178.46/178.24 [4381]E(f326(f261(f921(a914,a914)),f326(f256(a914,a914,a910),f326(f326(f10(a914,f922(a914,a910),a914),f326(f9(a914,a914,a910),a323)),a112))),a316)
% 178.46/178.24 [4353]E(f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),f326(a112,f326(a112,f2(a914))))
% 178.46/178.24 [4356]E(f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),f326(f326(f79(a914),f77(a914)),f77(a914)))
% 178.46/178.24 [4357]E(f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),f326(f35(a910),f241(f922(a910,a910))))
% 178.46/178.24 [4421]P5(f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))
% 178.46/178.24 [4490]P26(f922(f921(a914,a914),a910),f326(f326(f251(f922(f921(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910)),a910),f922(f921(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910)),a910)),a33),a71))
% 178.46/178.24 [4491]P26(f922(f921(a914,a914),a910),f326(f326(f251(f922(f921(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910)),a910),f922(f921(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910)),a910)),a34),a69))
% 178.46/178.24 [4532]E(f326(f326(f110(f922(f921(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910)),a910)),f318(f921(a914,a914),a70)),f326(f326(f308(f921(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910))),f326(f326(f251(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910)),f188(f922(f921(a914,a914),a910))),f188(f922(f921(a914,a914),a910)))),f188(f922(f921(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910)),a910)))),a69)
% 178.46/178.24 [4533]E(f326(f326(f110(f922(f921(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910)),a910)),f317(f921(a914,a914),a70)),f326(f326(f308(f921(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910))),f326(f326(f251(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910)),f188(f922(f921(a914,a914),a910))),f188(f922(f921(a914,a914),a910)))),f188(f922(f921(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910)),a910)))),a71)
% 178.46/178.24 [4423]E(f326(a104,f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(a112,f326(a112,f2(a914))))
% 178.46/178.24 [4468]E(f326(f100(a1),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))
% 178.46/178.24 [4502]P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 178.46/178.24 [4503]E(f326(f103(a914),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97)),f326(a112,f326(a112,f326(a112,f2(a914)))))
% 178.46/178.24 [4547]P5(f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97)))
% 178.46/178.24 [4573]E(f326(f100(a1),f326(f103(a914),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97)))
% 178.46/178.24 [4586]P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))))
% 178.46/178.24 [3316]P6(x33161,a323)
% 178.46/178.24 [3708]P24(a914,a914,a112,x37081)
% 178.46/178.24 [3309]P105(f913(x33091))
% 178.46/178.24 [3310]P105(f918(x33101))
% 178.46/178.24 [3311]P105(f915(x33111))
% 178.46/178.24 [3312]P105(f916(x33121))
% 178.46/178.24 [3333]P37(a1,f105(x33331))
% 178.46/178.24 [3334]P37(a1,f107(x33341))
% 178.46/178.24 [3384]P37(f922(x33841,a910),f313(x33841))
% 178.46/178.24 [3385]P38(f922(x33851,a910),f313(x33851))
% 178.46/178.24 [3409]E(f242(x34091,x34091,a323),a323)
% 178.46/178.24 [3424]E(f45(a1,x34241,x34241),f2(a1))
% 178.46/178.24 [3477]P13(x34771,f922(x34771,a910),f308(x34771))
% 178.46/178.24 [4660]~E(f326(a112,x46601),x46601)
% 178.46/178.24 [4670]~E(f326(a112,x46701),f2(a914))
% 178.46/178.24 [3318]E(f326(f189(a914),x33181),x33181)
% 178.46/178.24 [3319]E(f326(f103(a1),x33191),x33191)
% 178.46/178.24 [3335]E(f326(a88,f327(x33351)),x33351)
% 178.46/178.24 [3336]E(f326(a5,f579(x33361)),x33361)
% 178.46/178.24 [3337]E(f240(x33371,f2(a99)),f2(a99))
% 178.46/178.24 [3350]E(f114(x33501,f113(x33501)),f113(x33501))
% 178.46/178.24 [3351]E(f152(x33511,f113(x33511)),f113(x33511))
% 178.46/178.24 [3356]E(f326(f167(x33561),f113(x33561)),f113(x33561))
% 178.46/178.24 [3357]E(f326(f171(x33571),f113(x33571)),f113(x33571))
% 178.46/178.24 [3358]E(f326(f168(x33581),f113(x33581)),f113(x33581))
% 178.46/178.24 [3363]E(f326(f103(a1),x33631),f326(f102(a1),x33631))
% 178.46/178.24 [3364]E(f326(a88,f326(a106,x33641)),x33641)
% 178.46/178.24 [3366]E(f326(a5,f326(a22,x33661)),x33661)
% 178.46/178.24 [3367]E(f326(a22,f326(a5,x33671)),x33671)
% 178.46/178.24 [3369]P5(f326(f100(a1),x33691))
% 178.46/178.24 [3378]E(f326(f189(f915(x33781)),f113(x33781)),f2(a914))
% 178.46/178.24 [3379]E(f326(f189(f916(x33791)),f119(x33791)),f2(a914))
% 178.46/178.24 [3400]E(f326(f326(f3(a914),x34001),f2(a914)),x34001)
% 178.46/178.24 [3401]E(f326(f326(f80(a914),x34011),f77(a914)),x34011)
% 178.46/178.24 [3402]E(f326(f326(f80(a1),x34021),f77(a1)),x34021)
% 178.46/178.24 [3403]E(f326(f326(f79(a914),x34031),f2(a914)),x34031)
% 178.46/178.24 [3404]E(f326(f326(f79(a1),x34041),f2(a1)),x34041)
% 178.46/178.24 [3405]E(f326(f326(f233(a914),x34051),f2(a914)),x34051)
% 178.46/178.24 [3406]E(f326(f326(f80(a914),x34061),f2(a914)),f2(a914))
% 178.46/178.24 [3407]E(f326(f326(f232(a914),x34071),f2(a914)),f2(a914))
% 178.46/178.24 [3408]E(f326(f326(f36(a1),x34081),f2(a1)),f2(a1))
% 178.46/178.24 [3415]E(f326(f172(x34151),f113(x34151)),f188(f922(x34151,a910)))
% 178.46/178.24 [3419]P106(f326(f137(x34191),f113(x34191)))
% 178.46/178.24 [3425]E(f326(f154(x34251,x34251),f7(x34251)),f31(f915(x34251)))
% 178.46/178.24 [3426]E(f326(f154(x34261,x34261),f31(x34261)),f31(f915(x34261)))
% 178.46/178.24 [3427]E(f45(a1,x34271,f2(a1)),x34271)
% 178.46/178.24 [3428]E(f326(f234(a914),f326(a112,x34281)),f326(f235(a914),x34281))
% 178.46/178.24 [3429]E(f326(f281(a914),f326(a112,x34291)),f326(f300(a914),x34291))
% 178.46/178.24 [3430]E(f326(f282(a914),f326(a112,x34301)),f326(f303(a914),x34301))
% 178.46/178.24 [3432]E(f45(a1,f2(a1),x34321),f2(a1))
% 178.46/178.24 [3445]E(f326(f326(f79(a914),x34451),f77(a914)),f326(a112,x34451))
% 178.46/178.24 [3454]E(f326(f301(a914,x34541),f2(a914)),f188(f922(a914,a910)))
% 178.46/178.24 [3466]E(f302(a914,f2(a914),x34661),f326(f300(a914),x34661))
% 178.46/178.24 [3509]E(f326(f326(f3(a914),f326(a112,x35091)),f77(a914)),x35091)
% 178.46/178.24 [3521]E(f47(f2(a1),x35211),f326(f326(f251(a1,a1),f2(a1)),f2(a1)))
% 178.46/178.24 [3571]P106(f326(f326(f235(a914),x35711),f326(a112,x35711)))
% 178.46/178.24 [3583]P106(f326(f326(f235(a914),f2(a914)),f326(a112,x35831)))
% 178.46/178.24 [3813]E(f91(x38131,x38131,f241(f922(x38131,a910)),f31(x38131)),f31(x38131))
% 178.46/178.24 [3870]E(f326(f326(f3(a99),f326(a5,f326(a112,f326(a22,x38701)))),f77(a99)),x38701)
% 178.46/178.24 [3941]P106(f326(f326(f234(a1),f326(f78(a1),f326(f100(a1),x39411))),f2(a1)))
% 178.46/178.24 [4088]P106(f326(f326(f235(a1),f326(f78(a1),f326(f100(a1),f326(a112,x40881)))),f2(a1)))
% 178.46/178.24 [4680]~E(f241(f922(x46801,a910)),f188(f922(x46801,a910)))
% 178.46/178.24 [4715]~P106(f326(f326(f235(a914),x47151),f2(a914)))
% 178.46/178.24 [4728]~P106(f326(f326(f235(a1),f326(f100(a1),x47281)),f2(a1)))
% 178.46/178.24 [3368]E(f120(x33681,f119(f916(x33681))),f119(x33681))
% 178.46/178.24 [3383]E(f179(x33831,f113(f915(x33831))),f113(f915(x33831)))
% 178.46/178.24 [3386]E(f326(f326(f80(a1),a82),x33861),a82)
% 178.46/178.24 [3387]E(f326(f326(f79(a1),a82),x33871),x33871)
% 178.46/178.24 [3390]E(f326(a104,f326(f100(a1),x33901)),x33901)
% 178.46/178.24 [3391]E(f326(f326(f3(a1),x33911),a82),x33911)
% 178.46/178.24 [3392]E(f326(f326(f79(a1),x33921),a82),x33921)
% 178.46/178.24 [3394]E(f326(f326(f3(a914),x33941),x33941),f2(a914))
% 178.46/178.24 [3398]E(f326(f35(a914),f326(f281(a914),x33981)),x33981)
% 178.46/178.24 [3399]E(f326(f78(a1),f326(f78(a1),x33991)),x33991)
% 178.46/178.24 [3410]E(f326(f326(f80(a914),f77(a914)),x34101),x34101)
% 178.46/178.24 [3411]E(f326(f326(f80(a1),f77(a1)),x34111),x34111)
% 178.46/178.24 [3412]E(f326(f326(f79(a914),f2(a914)),x34121),x34121)
% 178.46/178.24 [3413]E(f326(f326(f79(a1),f2(a1)),x34131),x34131)
% 178.46/178.24 [3414]E(f326(f326(f233(a914),f2(a914)),x34141),x34141)
% 178.46/178.24 [3420]E(f326(f326(f3(a914),f2(a914)),x34201),f2(a914))
% 178.46/178.24 [3421]E(f326(f326(f80(a914),f2(a914)),x34211),f2(a914))
% 178.46/178.24 [3422]E(f326(f326(f232(a914),f2(a914)),x34221),f2(a914))
% 178.46/178.24 [3423]E(f326(f326(f36(a1),f2(a1)),x34231),f2(a1))
% 178.46/178.24 [3433]E(f128(x34331,f326(f78(a1),x34331)),f132(a1,x34331))
% 178.46/178.24 [3438]E(f326(f301(a914,f2(a914)),x34381),f326(f281(a914),x34381))
% 178.46/178.24 [3439]E(f326(f326(f80(a1),a97),x34391),f326(f78(a1),x34391))
% 178.46/178.24 [3447]E(f326(a104,f326(f103(a1),x34471)),f326(f103(a914),x34471))
% 178.46/178.24 [3448]E(f326(a22,f326(f103(a99),x34481)),f326(f103(a914),x34481))
% 178.46/178.24 [3449]E(f326(f35(a914),f326(f300(a914),x34491)),f326(a112,x34491))
% 178.46/178.24 [3458]E(f326(f326(f79(a914),f77(a914)),x34581),f326(a112,x34581))
% 178.46/178.24 [3462]E(f326(f75(a1),f326(f100(a1),x34621)),f326(f100(a1),x34621))
% 178.46/178.24 [3463]E(f326(f102(a1),f326(f100(a1),x34631)),f326(f100(a1),x34631))
% 178.46/178.24 [3467]E(f326(f35(x34671),f188(f922(x34671,a910))),f2(a914))
% 178.46/178.24 [3469]E(f326(f326(f36(a914),x34691),f326(a112,f2(a914))),x34691)
% 178.46/178.24 [3478]E(f45(a914,x34781,f326(a112,f2(a914))),f2(a914))
% 178.46/178.24 [3479]E(f45(a1,x34791,f326(f103(a1),a97)),f2(a1))
% 178.46/178.24 [3493]E(f326(f326(f36(a1),x34931),f326(f103(a1),a97)),f326(f78(a1),x34931))
% 178.46/178.24 [3497]E(f139(a914,f326(f301(a914,x34971),f2(a914))),f113(a914))
% 178.46/178.24 [3498]E(f326(f326(f79(a1),x34981),f77(a1)),f326(f326(f3(a1),x34981),a97))
% 178.46/178.24 [3499]E(f326(f326(f3(a1),x34991),f77(a1)),f326(f326(f79(a1),x34991),a97))
% 178.46/178.24 [3503]P106(f326(f326(f234(a914),x35031),x35031))
% 178.46/178.24 [3504]P106(f326(f326(f234(a1),x35041),x35041))
% 178.46/178.24 [3505]P106(f326(f326(f286(a914),x35051),x35051))
% 178.46/178.24 [3510]E(f326(f78(a1),f326(f103(a1),x35101)),f326(f103(a1),f326(f78(a1),x35101)))
% 178.46/178.24 [3511]P106(f326(f61(a914),f326(f281(a914),x35111)))
% 178.46/178.24 [3512]P106(f326(f61(a914),f326(f300(a914),x35121)))
% 178.46/178.24 [3519]E(f161(x35191,f241(f922(x35191,a910))),f241(f922(f915(x35191),a910)))
% 178.46/178.24 [3524]P106(f326(f326(f234(a914),f2(a914)),x35241))
% 178.46/178.24 [3534]E(f326(f326(f79(a914),f111(x35341)),f326(a112,f2(a914))),f111(f326(a112,x35341)))
% 178.46/178.24 [3535]E(f326(f261(x35351),f326(f18(a910,x35351),a238)),f188(f922(x35351,a910)))
% 178.46/178.24 [3536]E(f326(f261(x35361),f326(f18(a910,x35361),a187)),f241(f922(x35361,a910)))
% 178.46/178.24 [3540]E(f326(f326(f308(a914),x35401),f326(f281(a914),x35401)),f326(f281(a914),f326(a112,x35401)))
% 178.46/178.24 [3552]E(f326(f326(f79(a1),f77(a1)),f326(f100(a1),x35521)),f326(f100(a1),f326(a112,x35521)))
% 178.46/178.24 [3554]E(f326(f326(f151(f915(x35541)),f113(x35541)),f113(f915(x35541))),f54(x35541,f113(x35541)))
% 178.46/178.24 [3574]E(f188(f922(f921(x35741,x35741),a910)),f262(x35741,f188(f922(x35741,a910))))
% 178.46/178.24 [3575]E(f326(f307(x35751),f241(f922(x35751,a910))),f241(f922(f922(x35751,a910),a910)))
% 178.46/178.24 [3576]E(f326(f78(f922(x35761,a910)),f188(f922(x35761,a910))),f241(f922(x35761,a910)))
% 178.46/178.24 [3577]E(f326(f78(f922(x35771,a910)),f241(f922(x35771,a910))),f188(f922(x35771,a910)))
% 178.46/178.24 [3579]P106(f326(f61(x35791),f188(f922(x35791,a910))))
% 178.46/178.24 [3581]E(f326(f301(a914,x35811),f326(a112,x35811)),f326(f326(f308(a914),x35811),f188(f922(a914,a910))))
% 178.46/178.24 [3582]E(f84(f921(a914,a914),f48(x35821,f2(a914))),f326(f326(f251(a914,a914),f2(a914)),x35821))
% 178.46/178.24 [3595]E(f326(f326(f308(a914),f326(a112,x35951)),f326(f300(a914),x35951)),f326(f300(a914),f326(a112,x35951)))
% 178.46/178.24 [3599]P37(x35991,f188(f922(f921(x35991,x35991),a910)))
% 178.46/178.24 [3600]P39(x36001,f188(f922(f921(x36001,x36001),a910)))
% 178.46/178.24 [3603]P106(f326(f326(f234(a1),f2(a1)),f326(f100(a1),x36031)))
% 178.46/178.24 [3610]E(f326(f326(f79(a914),f326(f189(a914),x36101)),f326(a112,f2(a914))),f326(f189(a914),f326(a112,x36101)))
% 178.46/178.24 [3715]P40(f326(f309(a914,a1,f100(a1)),x37151))
% 178.46/178.24 [3753]P52(x37531,f188(f922(x37531,a910)),f188(f922(f921(x37531,x37531),a910)))
% 178.46/178.24 [3773]E(f326(f326(f251(a1,a1),f326(f103(a1),a97)),f326(f326(f3(a1),x37731),f77(a1))),f50(f326(f103(a1),a97),x37731))
% 178.46/178.24 [3826]P59(x38261,f326(f18(f922(x38261,a910),x38261),f326(f18(a910,x38261),a238)))
% 178.46/178.24 [4030]P106(f326(f326(f328(f922(f921(a914,a914),a910)),f327(x40301)),a98))
% 178.46/178.24 [4056]P106(f326(f326(f328(f922(f921(a914,a914),a910)),f326(a106,x40561)),a98))
% 178.46/178.24 [4188]P24(x41881,f922(x41881,a910),f326(f326(f9(x41881,f922(x41881,a910),f922(x41881,a910)),f308(x41881)),f188(f922(x41881,a910))),f241(f922(x41881,a910)))
% 178.46/178.24 [4677]~E(f326(f326(f79(a1),x46771),x46771),a97)
% 178.46/178.24 [4702]~E(f326(a5,f326(a112,f326(a22,x47021))),f2(a99))
% 178.46/178.24 [4708]~P106(f326(a193,f326(f100(a1),x47081)))
% 178.46/178.24 [4711]~P106(f326(f326(f235(a914),x47111),x47111))
% 178.46/178.24 [4721]~P106(f326(f326(f234(a914),f326(a112,x47211)),x47211))
% 178.46/178.24 [3526]E(f326(a104,f326(f78(a1),f326(f100(a1),x35261))),f2(a914))
% 178.46/178.24 [3529]E(f326(f326(f79(a1),f326(f78(a1),x35291)),x35291),f2(a1))
% 178.46/178.24 [3533]E(f326(f35(a1),f326(f301(a1,f2(a1)),x35331)),f326(a104,x35331))
% 178.46/178.24 [3545]E(f326(f326(f243(a914),f326(a112,f2(a914))),x35451),f326(a112,f2(a914)))
% 178.46/178.24 [3642]E(f326(f280(x36421),f188(f922(f921(x36421,x36421),a910))),f188(f922(x36421,a910)))
% 178.46/178.24 [3650]E(f37(f922(x36501,a910),f188(f922(f922(x36501,a910),a910))),f188(f922(x36501,a910)))
% 178.46/178.24 [3651]E(f37(f922(x36511,a910),f241(f922(f922(x36511,a910),a910))),f241(f922(x36511,a910)))
% 178.46/178.24 [3652]E(f38(f922(x36521,a910),f188(f922(f922(x36521,a910),a910))),f241(f922(x36521,a910)))
% 178.46/178.24 [3653]E(f38(f922(x36531,a910),f241(f922(f922(x36531,a910),a910))),f188(f922(x36531,a910)))
% 178.46/178.24 [3657]P106(f326(f326(f286(a914),f326(a112,f2(a914))),x36571))
% 178.46/178.24 [3698]E(f326(f326(f308(f915(x36981)),f113(x36981)),f188(f922(f915(x36981),a910))),f161(x36981,f188(f922(x36981,a910))))
% 178.46/178.24 [3699]E(f326(f326(f308(f915(x36991)),f113(x36991)),f188(f922(f915(x36991),a910))),f162(x36991,f113(f922(x36991,a910))))
% 178.46/178.24 [3737]E(f326(f326(f79(a914),f6(x37371)),f326(a112,f2(a914))),f6(f326(a5,f326(a112,f326(a22,x37371)))))
% 178.46/178.24 [3764]E(f326(f35(a1),f326(f309(a914,a1,f100(a1)),x37641)),f326(f35(a914),x37641))
% 178.46/178.24 [3765]P106(f326(f326(f234(a914),x37651),f326(f326(f80(a914),x37651),x37651)))
% 178.46/178.24 [3804]E(f326(f309(a1,a914,a104),f302(a1,f2(a1),f326(f100(a1),x38041))),f326(f300(a914),x38041))
% 178.46/178.24 [3821]E(f326(f326(f36(a914),f326(a112,f2(a914))),f326(f103(a914),x38211)),f326(a104,f326(f326(f36(a1),f77(a1)),f326(f103(a1),x38211))))
% 178.46/178.24 [3823]E(f326(f172(a914),f139(a914,f326(f301(a914,f2(a914)),f326(a112,x38231)))),f326(f300(a914),x38231))
% 178.46/178.24 [3824]E(f326(f326(f79(a914),f326(f189(a99),x38241)),f326(a112,f2(a914))),f326(f189(a99),f326(a5,f326(a112,f326(a22,x38241)))))
% 178.46/178.24 [3843]P39(x38431,f306(x38431,f188(f922(f921(x38431,x38431),a910))))
% 178.46/178.24 [3844]P51(x38441,f306(x38441,f188(f922(f921(x38441,x38441),a910))))
% 178.46/178.24 [3845]E(f326(f309(a1,a914,a104),f326(f309(a914,a1,f100(a1)),x38451)),x38451)
% 178.46/178.24 [3876]E(f326(f326(f308(a914),f2(a914)),f326(f309(a914,a914,a112),f326(f281(a914),x38761))),f326(f281(a914),f326(a112,x38761)))
% 178.46/178.24 [3882]P54(x38821,x38821,f306(x38821,f188(f922(f921(x38821,x38821),a910))))
% 178.46/178.24 [3888]P106(f326(a193,f326(f78(a1),f326(f100(a1),f326(a112,x38881)))))
% 178.46/178.24 [3898]E(f326(f326(f3(f922(a914,a910)),f326(f282(a914),x38981)),f326(f326(f308(a914),x38981),f188(f922(a914,a910)))),f326(f282(a914),f326(a112,x38981)))
% 178.46/178.24 [3915]E(f326(f326(f79(a1),f326(f326(f3(a1),a82),x39151)),f326(f326(f3(a1),a82),x39151)),f326(f326(f3(a1),a82),f326(f326(f79(a1),x39151),x39151)))
% 178.46/178.24 [3930]E(f326(f326(f308(f922(x39301,a910)),f188(f922(x39301,a910))),f188(f922(f922(x39301,a910),a910))),f326(f307(x39301),f188(f922(x39301,a910))))
% 178.46/178.24 [3958]E(f326(f326(f3(f922(a914,a910)),f326(f303(a914),x39581)),f326(f326(f308(a914),f326(a112,x39581)),f188(f922(a914,a910)))),f326(f303(a914),f326(a112,x39581)))
% 178.46/178.24 [4068]E(f326(f103(a914),f326(f326(f79(a1),x40681),x40681)),f326(f326(f85(a914,a914),f326(f103(a914),x40681)),f326(f326(f20(a914,a914,a914),f79(a914)),f7(a914))))
% 178.46/178.24 [4443]P13(x44431,f922(x44431,a910),f326(f326(f10(f922(x44431,a910),f922(f922(x44431,a910),f922(x44431,a910)),x44431),f326(f9(f922(x44431,a910),f922(x44431,a910),f922(x44431,a910)),f3(f922(x44431,a910)))),f326(f326(f9(x44431,f922(x44431,a910),f922(x44431,a910)),f308(x44431)),f188(f922(x44431,a910)))))
% 178.46/178.24 [4531]E(f326(f261(f921(a1,a1)),f326(f256(a1,a1,a910),f326(f326(f10(f922(a1,a910),f922(a1,a910),a1),f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a325),f326(f234(a1),x45311)))),f235(a1)))),f107(x45311))
% 178.46/178.24 [4564]E(f326(f261(f921(a1,a1)),f326(f256(a1,a1,a910),f326(f326(f20(a1,f922(a1,a910),f922(a1,a910)),f326(f326(f10(f922(a910,a910),f922(f922(a1,a910),f922(a1,a910)),a1),f10(a910,a910,a1)),f326(f326(f10(a910,f922(a910,a910),a1),a325),f326(f234(a1),x45641)))),f235(a1)))),f105(x45641))
% 178.46/178.24 [4617]E(f326(f261(f921(f922(x46171,a910),f922(x46171,a910))),f326(f256(f922(x46171,a910),f922(x46171,a910),a910),f326(f326(f9(f922(x46171,a910),f922(f922(x46171,a910),a910),f922(f922(x46171,a910),a910)),f326(f326(f10(f922(f922(x46171,a910),f922(a910,a910)),f922(f922(f922(x46171,a910),a910),f922(f922(x46171,a910),a910)),f922(x46171,a910)),f20(f922(x46171,a910),a910,a910)),f326(f326(f10(f922(f922(x46171,a910),a910),f922(f922(x46171,a910),f922(a910,a910)),f922(x46171,a910)),f326(f10(a910,f922(a910,a910),f922(x46171,a910)),a325)),f235(f922(x46171,a910))))),f61(x46171)))),f313(x46171))
% 178.46/178.24 [4725]~P106(f326(f61(f915(x47251)),f241(f922(f915(x47251),a910))))
% 178.46/178.24 [4737]~P106(f326(f326(f234(a1),f2(a1)),f326(f78(a1),f326(f100(a1),f326(a112,x47371)))))
% 178.46/178.24 [3677]E(f326(f326(f3(a1),f326(f326(f79(a1),x36771),a97)),a97),x36771)
% 178.46/178.24 [3691]E(f326(f172(a914),f139(a914,f326(f301(a914,f2(a914)),x36911))),f326(f281(a914),x36911))
% 178.46/178.24 [3937]E(f326(f326(f79(a1),f326(f326(f79(a1),f77(a1)),x39371)),x39371),f326(f326(f3(a1),f326(f326(f79(a1),x39371),x39371)),a97))
% 178.46/178.24 [3985]E(f326(f285(x39851,x39851),f306(x39851,f188(f922(f921(x39851,x39851),a910)))),f306(x39851,f188(f922(f921(x39851,x39851),a910))))
% 178.46/178.24 [4033]P106(f326(f326(f234(a914),x40331),f326(f326(f80(a914),x40331),f326(f326(f80(a914),x40331),x40331))))
% 178.46/178.24 [4305]P106(f326(f61(a914),f326(f261(a914),f326(f326(f9(a914,a914,a910),f234(a914)),x43051))))
% 178.46/178.24 [4306]P106(f326(f61(a914),f326(f261(a914),f326(f326(f9(a914,a914,a910),f235(a914)),x43061))))
% 178.46/178.24 [4580]E(f326(f261(f921(x45801,x45801)),f326(f326(f10(f922(x45801,a910),a910,f921(x45801,x45801)),f86(x45801)),f326(f326(f9(f921(x45801,x45801),f922(x45801,f921(x45801,x45801)),f922(x45801,a910)),f326(f326(f10(f922(f921(x45801,x45801),a910),f922(f922(x45801,f921(x45801,x45801)),f922(x45801,a910)),f921(x45801,x45801)),f10(f921(x45801,x45801),a910,x45801)),a323)),f326(f326(f20(x45801,x45801,f921(x45801,x45801)),f251(x45801,x45801)),f7(x45801))))),f306(x45801,f188(f922(f921(x45801,x45801),a910))))
% 178.46/178.24 [4727]~E(f326(f326(f3(a1),f326(f326(f79(a1),x47271),x47271)),a97),a82)
% 178.46/178.24 [4729]~E(f326(f326(f79(a1),f326(f326(f79(a1),f77(a1)),x47291)),x47291),f2(a1))
% 178.46/178.24 [4079]E(f326(f326(f79(a1),f326(f326(f3(a1),a97),x40791)),f326(f326(f3(a1),a97),x40791)),f326(f326(f3(a1),a97),f326(f326(f3(a1),f326(f326(f79(a1),x40791),x40791)),a97)))
% 178.46/178.24 [4196]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),a97),x41961)),f326(f326(f3(a1),a97),x41961))),a97),f326(f326(f3(a1),a97),f326(f326(f79(a1),x41961),x41961)))
% 178.46/178.24 [4228]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f79(a1),x42281),a97)),f326(f326(f79(a1),x42281),a97))),a97),f326(f326(f79(a1),f326(f326(f79(a1),x42281),x42281)),a97))
% 178.46/178.24 [4266]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),a97),x42661)),f326(f326(f3(a1),a97),x42661))),a97),f326(f326(f3(a1),a82),f326(f326(f3(a1),f326(f326(f79(a1),x42661),x42661)),a97)))
% 178.46/178.24 [4363]E(f326(a88,f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),f326(f326(f251(a914,a914),x43631),f2(a914))),f188(f922(f921(a914,a914),a910))))),f326(f100(a1),x43631))
% 178.46/178.24 [4373]E(f326(a88,f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),f326(f326(f251(a914,a914),f331(x43731)),f504(x43731))),f188(f922(f921(a914,a914),a910))))),x43731)
% 178.46/178.24 [4407]E(f326(f261(a1),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a325),f326(f234(a1),f2(a1)))),x44071)),f326(f309(a914,a1,f100(a1)),f326(f261(a914),f326(f326(f10(a1,a910,a914),x44071),f100(a1)))))
% 178.46/178.24 [4451]P40(f326(f261(a1),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a325),f326(f234(a1),f2(a1)))),x44511)))
% 178.46/178.24 [4471]P106(f326(f326(f328(f921(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910))),f326(f326(f251(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910)),x44711),f188(f922(f921(a914,a914),a910)))),a71))
% 178.46/178.24 [4476]E(f326(f309(a1,a914,a104),f326(f261(a1),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a325),f326(f234(a1),f2(a1)))),f326(f326(f10(a914,a910,a1),x44761),a104)))),f326(f261(a914),x44761))
% 178.46/178.24 [4632]E(f311(a914,f326(f326(f40(f921(a914,a914),f922(a914,a910)),f326(a106,x46321)),f326(f256(a914,a914,f922(a914,a910)),f326(f326(f9(a914,f922(a914,a910),f922(a914,f922(a914,a910))),f326(f326(f10(f922(a914,f922(f922(a914,a910),f922(a914,a910))),f922(f922(a914,a910),f922(a914,f922(a914,a910))),a914),f9(a914,f922(a914,a910),f922(a914,a910))),f326(f326(f10(f922(a914,a914),f922(a914,f922(f922(a914,a910),f922(a914,a910))),a914),f326(f10(a914,f922(f922(a914,a910),f922(a914,a910)),a914),f308(a914))),f3(a914)))),f188(f922(a914,a910)))))),f326(a104,x46321))
% 178.46/178.24 [4124]E(f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),x41241),x41241)),a97)),a97),f326(f326(f79(a1),x41241),x41241))
% 178.46/178.24 [4174]E(f326(f326(f3(a1),f326(f326(f3(a1),f326(f326(f79(a1),x41741),x41741)),a97)),a97),f326(f326(f79(a1),f326(f326(f3(a1),x41741),a97)),f326(f326(f3(a1),x41741),a97)))
% 178.46/178.24 [4379]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f79(a1),f326(f78(a1),x43791)),a97)),f326(f326(f79(a1),f326(f78(a1),x43791)),a97))),a97),f326(f78(a1),f326(f326(f3(a1),f326(f326(f79(a1),x43791),x43791)),a97)))
% 178.46/178.24 [4424]E(f326(f326(f79(a914),x44241),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(a112,f326(a112,x44241)))
% 178.46/178.24 [4425]E(f326(f326(f80(a914),x44251),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f79(a914),x44251),x44251))
% 178.46/178.24 [4426]E(f326(f326(f36(a914),f326(f326(f79(a914),x44261),x44261)),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x44261)
% 178.46/178.24 [4505]E(f45(a914,f326(a112,f326(a112,x45051)),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f45(a914,x45051,f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 178.46/178.24 [4647]E(f326(a88,f326(f326(f40(f921(a914,a914),f922(f921(a914,a914),a910)),f326(a106,x46471)),f326(f256(a914,a914,f922(f921(a914,a914),a910)),f326(f326(f10(f922(a914,f922(f921(a914,a914),a910)),f922(a914,f922(f921(a914,a914),a910)),a914),f326(f10(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910),a914),f284(f921(a914,a914),f921(a914,a914),a108))),f326(f326(f9(a914,f922(f921(a914,a914),a910),f922(a914,f922(f921(a914,a914),a910))),f326(f326(f10(f922(a914,f922(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910))),f922(f922(f921(a914,a914),a910),f922(a914,f922(f921(a914,a914),a910))),a914),f9(a914,f922(f921(a914,a914),a910),f922(f921(a914,a914),a910))),f326(f326(f10(f922(a914,f921(a914,a914)),f922(a914,f922(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910))),a914),f326(f10(f921(a914,a914),f922(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910)),a914),f308(f921(a914,a914)))),f326(f9(a914,a914,f921(a914,a914)),f251(a914,a914))))),f188(f922(f921(a914,a914),a910))))))),f326(f78(a1),x46471))
% 178.46/178.24 [4500]E(f326(f326(f79(a914),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x45001),f326(a112,f326(a112,x45001)))
% 178.46/178.24 [4501]E(f326(f326(f80(a914),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x45011),f326(f326(f79(a914),x45011),x45011))
% 178.46/178.24 [4537]E(f326(f326(f36(a914),f326(a112,f326(a112,x45371))),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(a112,f326(f326(f36(a914),x45371),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 178.46/178.24 [4587]E(f326(f326(f79(a914),f326(f103(a914),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),x45871),f326(a112,f326(a112,f326(a112,x45871))))
% 178.46/178.24 [4654]E(f326(f256(a1,a1,f921(a1,a1)),f326(f326(f20(a1,f922(a1,f921(a1,a1)),f922(a1,f921(a1,a1))),f326(f326(f10(f922(a1,f922(f921(a1,a1),f921(a1,a1))),f922(f922(a1,f921(a1,a1)),f922(a1,f921(a1,a1))),a1),f20(a1,f921(a1,a1),f921(a1,a1))),f326(f326(f10(f922(a1,f921(a1,a1)),f922(a1,f922(f921(a1,a1),f921(a1,a1))),a1),f326(f20(a1,f921(a1,a1),f922(f921(a1,a1),f921(a1,a1))),f326(f326(f10(a910,f922(f921(a1,a1),f922(f921(a1,a1),f921(a1,a1))),a1),f96(f921(a1,a1))),f326(f326(f10(a1,a910,a1),f326(f234(a1),f2(a1))),f326(f326(f9(a1,a1,a1),f3(a1)),x46541))))),f326(f326(f9(a1,f922(a1,a1),f922(a1,f921(a1,a1))),f326(f326(f10(f922(a1,f921(a1,a1)),f922(f922(a1,a1),f922(a1,f921(a1,a1))),a1),f10(a1,f921(a1,a1),a1)),f326(f326(f10(a1,f922(a1,f921(a1,a1)),a1),f251(a1,a1)),f326(f326(f9(a1,a1,a1),f326(f326(f10(a1,f922(a1,a1),a1),f79(a1)),f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f77(a1))))),f326(f326(f9(a1,a1,a1),f3(a1)),x46541))))),f326(f326(f10(a1,f922(a1,f921(a1,a1)),a1),f251(a1,a1)),f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))),f43(x46541))
% 178.46/178.24 [3353]P105(f920(x33531,x33532))
% 178.46/178.24 [3354]P105(f919(x33541,x33542))
% 178.46/178.24 [3355]P105(f921(x33551,x33552))
% 178.46/178.24 [3372]P12(a1,f178(x33721,x33722))
% 178.46/178.24 [3373]P37(x33731,f153(x33731,x33732))
% 178.46/178.24 [3374]P38(x33741,f262(x33741,x33742))
% 178.46/178.24 [3375]P38(x33751,f306(x33751,x33752))
% 178.46/178.24 [3376]P39(x33761,f262(x33761,x33762))
% 178.46/178.24 [3377]P51(x33771,f262(x33771,x33772))
% 178.46/178.24 [3440]P31(x34401,x34402,f113(x34401))
% 178.46/178.24 [3473]P52(x34731,x34732,f262(x34731,x34732))
% 178.46/178.24 [3474]P54(x34741,x34741,f262(x34741,x34742))
% 178.46/178.24 [3740]P24(x37401,x37401,f7(x37401),x37402)
% 178.46/178.24 [3741]P24(x37411,x37411,f31(x37411),x37412)
% 178.46/178.24 [3749]P32(x37491,x37492,f113(x37491),f113(x37491))
% 178.46/178.24 [3758]P24(f915(x37581),f915(x37581),f168(x37581),x37582)
% 178.46/178.24 [4164]P25(x41641,x41641,f31(x41641),x41642,x41642)
% 178.46/178.24 [4663]~E(f30(x46631,x46632),a25)
% 178.46/178.24 [4664]~E(f29(x46641,x46642),a25)
% 178.46/178.24 [4689]~P33(x46891,x46892,f113(x46891))
% 178.46/178.24 [4690]~P35(x46901,x46902,f113(x46901))
% 178.46/178.24 [3339]E(f326(f7(x33391),x33392),x33392)
% 178.46/178.24 [3340]E(f326(f261(x33401),x33402),x33402)
% 178.46/178.24 [3342]E(f326(f31(x33421),x33422),x33422)
% 178.46/178.24 [3352]E(f326(f191(x33521),x33522),f115(x33521))
% 178.46/178.24 [3370]E(f84(x33701,f326(a323,x33702)),x33702)
% 178.46/178.24 [3371]E(f89(x33711,f326(a323,x33712)),x33712)
% 178.46/178.24 [3393]E(f326(f125(x33931,x33932),f119(x33931)),f2(a914))
% 178.46/178.24 [3396]E(f326(f136(x33961,x33962),f113(x33961)),f113(x33961))
% 178.46/178.24 [3416]E(f306(x34161,f306(x34161,x34162)),f306(x34161,x34162))
% 178.46/178.24 [3417]E(f152(x34171,f152(x34171,x34172)),f152(x34171,x34172))
% 178.46/178.24 [3435]E(f326(f326(f134(x34351),x34352),f113(x34351)),x34352)
% 178.46/178.24 [3441]E(f173(x34411,x34412,f113(x34411)),x34412)
% 178.46/178.24 [3442]E(f173(x34421,f113(x34421),x34422),x34422)
% 178.46/178.24 [3443]E(f116(x34431,f119(x34431),x34432),x34432)
% 178.46/178.24 [3444]E(f169(x34441,f2(a914),x34442),f113(x34441))
% 178.46/178.24 [3450]E(f326(f326(f175(x34501),x34502),f113(x34501)),f113(x34501))
% 178.46/178.24 [3451]E(f326(f326(f138(x34511),x34512),f113(x34511)),f113(x34511))
% 178.46/178.24 [3453]E(f155(x34531,x34532,f113(x34531)),f2(a914))
% 178.46/178.24 [3455]E(f170(x34551,x34552,f113(x34551)),f113(x34551))
% 178.46/178.24 [3456]E(f177(x34561,x34562,f113(x34561)),f113(x34561))
% 178.46/178.24 [3457]E(f176(x34571,f113(x34571),x34572),f113(x34571))
% 178.46/178.24 [3461]E(f326(f172(x34611),f152(x34611,x34612)),f326(f172(x34611),x34612))
% 178.46/178.24 [3464]E(f326(f283(x34641,x34641),f262(x34641,x34642)),x34642)
% 178.46/178.24 [3465]E(f326(f263(x34651,x34651),f262(x34651,x34652)),x34652)
% 178.46/178.24 [3472]E(f326(f285(x34721,x34721),f262(x34721,x34722)),f262(x34721,x34722))
% 178.46/178.24 [3485]E(f306(f915(x34851),f157(x34851,x34852)),f158(x34851,f306(x34851,x34852)))
% 178.46/178.24 [3487]P106(f326(f137(a1),f178(x34871,x34872)))
% 178.46/178.24 [3495]E(f326(f283(x34951,x34951),f306(x34951,x34952)),f241(f922(x34951,a910)))
% 178.46/178.24 [3496]E(f326(f263(x34961,x34961),f306(x34961,x34962)),f241(f922(x34961,a910)))
% 178.46/178.24 [3500]P106(f326(f137(x35001),f152(x35001,x35002)))
% 178.46/178.24 [3502]P106(f326(f160(x35021,x35022),f113(x35021)))
% 178.46/178.24 [3508]E(f326(f172(a1),f178(x35081,x35082)),f302(a1,x35081,x35082))
% 178.46/178.24 [3522]P55(x35221,f188(f922(x35221,a910)),x35222)
% 178.46/178.24 [3527]E(f326(f255(a1,a1),f46(x35271,x35272)),f45(a1,x35271,x35272))
% 178.46/178.24 [3528]E(f326(f301(a914,x35281),f326(a112,x35282)),f302(a914,x35281,x35282))
% 178.46/178.24 [3544]E(f326(f326(f151(x35441),x35442),f113(x35441)),f140(x35441,x35442,f113(x35441)))
% 178.46/178.24 [3556]E(f302(a914,f326(a112,x35561),x35562),f304(a914,x35561,x35562))
% 178.46/178.24 [3559]P52(x35591,f241(f922(x35591,a910)),f306(x35591,x35592))
% 178.46/178.24 [3622]E(f326(f326(f3(a914),x36221),f326(a112,x36222)),f326(f35(a914),f305(a914,x36222,x36221)))
% 178.46/178.24 [3678]E(f166(x36781,x36782,f113(x36781)),f326(f326(f251(f915(x36781),f915(x36781)),f113(x36781)),f113(x36781)))
% 178.46/178.24 [3696]E(f326(f256(x36961,x36962,f921(x36961,x36962)),f251(x36961,x36962)),f31(f921(x36961,x36962)))
% 178.46/178.24 [3700]P106(f326(f326(f328(f915(x37001)),f113(x37001)),f161(x37001,x37002)))
% 178.46/178.24 [3701]E(f326(f189(f915(x37011)),f114(x37011,x37012)),f326(f326(f3(a914),f326(f189(f915(x37011)),x37012)),f77(a914)))
% 178.46/178.24 [3709]P106(f326(f61(a914),f302(a914,x37091,x37092)))
% 178.46/178.24 [3710]P106(f326(f61(a914),f305(a914,x37101,x37102)))
% 178.46/178.24 [3711]P106(f326(f61(a914),f304(a914,x37111,x37112)))
% 178.46/178.24 [3712]P106(f326(f61(a1),f302(a1,x37121,x37122)))
% 178.46/178.24 [3713]P106(f326(f61(a1),f305(a1,x37131,x37132)))
% 178.46/178.24 [3714]P106(f326(f61(a1),f304(a1,x37141,x37142)))
% 178.46/178.24 [3820]E(f326(f309(a914,a914,a112),f302(a914,x38201,x38202)),f302(a914,f326(a112,x38201),f326(a112,x38202)))
% 178.46/178.24 [3839]E(f326(f326(f288(x38391,x38391,x38391),f306(x38391,x38392)),f306(x38391,x38392)),f306(x38391,x38392))
% 178.46/178.24 [3874]E(f326(f326(f251(a99,a99),f326(f326(f36(a99),x38741),x38742)),f45(a99,x38741,x38742)),f23(x38741,x38742))
% 178.46/178.24 [3875]E(f326(f326(f251(a1,a1),f326(f326(f36(a1),x38751),x38752)),f45(a1,x38751,x38752)),f46(x38751,x38752))
% 178.46/178.24 [3902]E(f326(f326(f251(a914,a914),f326(f326(f36(a914),x39021),x39022)),f45(a914,x39021,x39022)),f84(f921(a914,a914),f48(x39021,x39022)))
% 178.46/178.24 [3954]P106(f326(f326(f235(a914),f326(f326(f3(a914),x39541),x39542)),f326(a112,x39541)))
% 178.46/178.24 [4004]P38(x40041,f326(f326(f288(x40041,x40041,x40041),x40042),f306(x40041,x40042)))
% 178.46/178.24 [4055]E(f326(f326(f79(a1),f326(f326(f80(a1),x40551),f326(f326(f36(a1),x40552),x40551))),f45(a1,x40552,x40551)),x40552)
% 178.46/178.24 [4059]E(f326(f326(f40(a914,f922(f921(f915(x40591),f915(x40591)),a910)),f241(f922(a914,a910))),f143(x40591,x40592)),f145(x40591,x40592))
% 178.46/178.24 [4282]P106(f326(f326(f328(f921(f915(x42821),f915(x42821))),f326(f326(f251(f915(x42821),f915(x42821)),f113(x42821)),f113(x42821))),f158(x42821,x42822)))
% 178.46/178.24 [4392]E(f252(x43921,x43921,x43921,a323,f252(x43921,x43921,x43921,x43922,a323)),x43922)
% 178.46/178.24 [4436]E(f257(x44361,x44361,x44362,x44362,f7(x44361),f7(x44362)),f31(f921(x44361,x44362)))
% 178.46/178.24 [4438]E(f257(x44381,x44381,x44382,x44382,f31(x44381),f31(x44382)),f31(f921(x44381,x44382)))
% 178.46/178.24 [3434]E(f326(f168(x34341),f326(f168(x34341),x34342)),x34342)
% 178.46/178.24 [3436]E(f326(f326(f138(x34361),f2(a914)),x34362),x34362)
% 178.46/178.24 [3452]E(f326(f326(f175(x34521),f2(a914)),x34522),f113(x34521))
% 178.46/178.24 [3459]E(f326(f326(f134(x34591),f113(x34591)),x34592),x34592)
% 178.46/178.24 [3468]E(f37(f922(x34681,a910),f326(f307(x34681),x34682)),x34682)
% 178.46/178.24 [3470]E(f326(f172(x34701),f326(f167(x34701),x34702)),f326(f172(x34701),x34702))
% 178.46/178.24 [3471]E(f326(f172(x34711),f326(f168(x34711),x34712)),f326(f172(x34711),x34712))
% 178.46/178.24 [3476]E(f326(f326(f3(a99),x34761),x34762),f326(f326(a4,x34761),x34762))
% 178.46/178.24 [3489]E(f326(f326(f80(a914),x34891),x34892),f326(f326(f80(a914),x34892),x34891))
% 178.46/178.24 [3490]E(f326(f326(f80(a1),x34901),x34902),f326(f326(f80(a1),x34902),x34901))
% 178.46/178.24 [3491]E(f326(f326(f79(a914),x34911),x34912),f326(f326(f79(a914),x34912),x34911))
% 178.46/178.24 [3492]E(f326(f326(f79(a1),x34921),x34922),f326(f326(f79(a1),x34922),x34921))
% 178.46/178.24 [3514]E(f326(f326(f183(x35141,x35141),f2(a914)),x35142),f31(x35141))
% 178.46/178.24 [3515]E(f326(f189(f915(x35151)),f326(f167(x35151),x35152)),f326(f189(f915(x35151)),x35152))
% 178.46/178.24 [3516]E(f326(f189(f915(x35161)),f326(f168(x35161),x35162)),f326(f189(f915(x35161)),x35162))
% 178.46/178.24 [3517]E(f176(x35171,x35172,f188(f922(a914,a910))),f113(x35171))
% 178.46/178.24 [3518]E(f326(f326(f154(x35181,x35181),f7(x35181)),x35182),x35182)
% 178.46/178.24 [3520]E(f326(f250(a1,a1),f46(x35201,x35202)),f326(f326(f36(a1),x35201),x35202))
% 178.46/178.24 [3537]E(f326(f189(f915(x35371)),f152(x35371,x35372)),f326(f35(x35371),f326(f172(x35371),x35372)))
% 178.46/178.24 [3538]E(f28(f29(x35381,x35382)),f326(f326(f79(a914),f28(x35382)),f326(a112,f2(a914))))
% 178.46/178.24 [3539]E(f326(f280(x35391),f326(f285(x35391,x35391),x35392)),f326(f280(x35391),x35392))
% 178.46/178.24 [3543]P106(f326(f61(x35431),f326(f172(x35431),x35432)))
% 178.46/178.24 [3551]E(f326(f326(f79(a1),x35511),f326(f78(a1),x35512)),f326(f326(f3(a1),x35511),x35512))
% 178.46/178.24 [3558]P23(x35581,x35582,f188(f922(f913(x35581),a910)))
% 178.46/178.24 [3560]E(f326(f309(x35601,x35601,f7(x35601)),x35602),x35602)
% 178.46/178.24 [3561]E(f326(f309(x35611,x35611,f31(x35611)),x35612),x35612)
% 178.46/178.24 [3562]E(f326(f310(x35621,x35621,f7(x35621)),x35622),x35622)
% 178.46/178.24 [3563]E(f326(f310(x35631,x35631,f31(x35631)),x35632),x35632)
% 178.46/178.24 [3564]P106(f326(f241(f922(x35641,a910)),x35642))
% 178.46/178.24 [3566]E(f326(f35(a914),f326(f301(a914,x35661),x35662)),f326(f326(f3(a914),x35662),x35661))
% 178.46/178.24 [3567]E(f326(f301(a914,f326(a112,x35671)),x35672),f305(a914,x35671,x35672))
% 178.46/178.24 [3580]E(f326(f326(f308(x35801),x35802),f188(f922(x35801,a910))),f326(f261(x35801),f326(a323,x35802)))
% 178.46/178.24 [3585]E(f306(x35851,f326(f285(x35851,x35851),x35852)),f326(f285(x35851,x35851),f306(x35851,x35852)))
% 178.46/178.24 [3590]E(f326(f326(f79(a914),f326(a112,x35901)),x35902),f326(f326(f79(a914),x35901),f326(a112,x35902)))
% 178.46/178.24 [3591]E(f326(f326(f3(a914),f326(a112,x35911)),f326(a112,x35912)),f326(f326(f3(a914),x35911),x35912))
% 178.46/178.24 [3597]E(f55(x35971,f2(a914),x35972),f326(f326(f151(f915(x35971)),f113(x35971)),f113(f915(x35971))))
% 178.46/178.24 [3598]E(f326(f35(a914),f304(a914,x35981,x35982)),f326(f326(f3(a914),x35982),x35981))
% 178.46/178.24 [3607]P37(x36071,f326(f326(f287(a914,x36071),a239),x36072))
% 178.46/178.24 [3609]P12(a914,f139(a914,f326(f301(a914,x36091),x36092)))
% 178.46/178.24 [3611]P106(f326(f61(a914),f326(f301(a914,x36111),x36112)))
% 178.46/178.24 [3612]P106(f326(f61(a1),f326(f301(a1,x36121),x36122)))
% 178.46/178.24 [3615]E(f326(f285(f915(x36151),f915(x36151)),f157(x36151,x36152)),f157(x36151,f326(f285(x36151,x36151),x36152)))
% 178.46/178.24 [3616]E(f326(f189(a911),f29(x36161,x36162)),f326(f326(f79(a914),f326(f189(a911),x36162)),f326(a112,f2(a914))))
% 178.46/178.24 [3618]E(f326(f301(a1,x36181),f326(f326(f79(a1),x36182),f77(a1))),f302(a1,x36181,x36182))
% 178.46/178.24 [3621]E(f326(f326(f36(a1),f326(f78(a1),x36211)),f326(f78(a1),x36212)),f326(f326(f36(a1),x36211),x36212))
% 178.46/178.24 [3629]E(f326(f326(f183(f921(x36291,x36291),a910),f77(a914)),x36292),x36292)
% 178.46/178.24 [3631]E(f326(f326(f110(f922(x36311,a910)),x36312),f188(f922(x36311,a910))),x36312)
% 178.46/178.24 [3632]E(f326(f326(f3(f922(x36321,a910)),x36322),f188(f922(x36321,a910))),x36322)
% 178.46/178.24 [3633]E(f326(f326(f101(f922(x36331,a910)),x36332),f241(f922(x36331,a910))),x36332)
% 178.46/178.24 [3634]E(f326(f250(a914,a914),f84(f921(a914,a914),f48(x36341,x36342))),f326(f326(f36(a914),x36341),x36342))
% 178.46/178.24 [3641]E(f302(a1,f326(f326(f79(a1),x36411),f77(a1)),x36412),f304(a1,x36411,x36412))
% 178.46/178.24 [3646]E(f326(f255(a914,a914),f84(f921(a914,a914),f48(x36461,x36462))),f45(a914,x36461,x36462))
% 178.46/178.24 [3656]P106(f326(f326(f328(x36561),x36562),f241(f922(x36561,a910))))
% 178.46/178.24 [3661]E(f326(f326(f3(a914),f326(a112,x36611)),x36612),f326(f35(a914),f302(a914,x36612,x36611)))
% 178.46/178.24 [3687]E(f326(f326(f110(f922(x36871,a910)),x36872),f241(f922(x36871,a910))),f241(f922(x36871,a910)))
% 178.46/178.24 [3688]E(f326(f326(f3(f922(x36881,a910)),x36882),f241(f922(x36881,a910))),f188(f922(x36881,a910)))
% 178.46/178.24 [3689]E(f326(f326(f101(f922(x36891,a910)),x36892),f188(f922(x36891,a910))),f188(f922(x36891,a910)))
% 178.46/178.24 [3704]E(f45(a1,f326(f100(a1),x37041),f326(f100(a1),x37042)),f326(f100(a1),f45(a914,x37041,x37042)))
% 178.46/178.24 [3705]E(f45(a1,f326(f78(a1),x37051),f326(f78(a1),x37052)),f326(f78(a1),f45(a1,x37051,x37052)))
% 178.46/178.24 [3716]E(f326(f189(f915(x37161)),f326(f171(x37161),x37162)),f326(f326(f3(a914),f326(f189(f915(x37161)),x37162)),f77(a914)))
% 178.46/178.24 [3742]E(f326(f326(f36(a1),f45(a1,x37421,x37422)),x37422),f2(a1))
% 178.46/178.24 [3751]E(f326(a5,f45(a914,f326(a22,x37511),f326(a22,x37512))),f45(a99,x37511,x37512))
% 178.46/178.24 [3786]E(f326(a5,f326(f326(f3(a914),f326(a22,x37861)),f326(a22,x37862))),f326(f326(f3(a99),x37861),x37862))
% 178.46/178.24 [3787]E(f326(a5,f326(f326(f80(a914),f326(a22,x37871)),f326(a22,x37872))),f326(f326(f80(a99),x37871),x37872))
% 178.46/178.24 [3788]E(f326(a5,f326(f326(f79(a914),f326(a22,x37881)),f326(a22,x37882))),f326(f326(f79(a99),x37881),x37882))
% 178.46/178.24 [3789]E(f326(a5,f326(f326(f36(a914),f326(a22,x37891)),f326(a22,x37892))),f326(f326(f36(a99),x37891),x37892))
% 178.46/178.24 [3798]E(f326(f309(a914,a914,a112),f326(f301(a914,x37981),x37982)),f326(f301(a914,f326(a112,x37981)),f326(a112,x37982)))
% 178.46/178.24 [3825]P106(f326(f48(x38251,x38252),f84(f921(a914,a914),f48(x38251,x38252))))
% 178.46/178.24 [3848]E(f326(f326(f79(a914),f326(f326(f79(a914),f28(x38481)),f28(x38482))),f326(a112,f2(a914))),f28(f30(x38481,x38482)))
% 178.46/178.24 [3849]E(f45(a914,f326(a112,f45(a914,x38491,x38492)),x38492),f45(a914,f326(a112,x38491),x38492))
% 178.46/178.24 [3861]E(f326(f326(f40(f922(x38611,a910),f922(x38611,a910)),x38612),f7(f922(x38611,a910))),f37(f922(x38611,a910),x38612))
% 178.46/178.24 [3862]E(f326(f326(f39(f922(x38621,a910),f922(x38621,a910)),x38622),f7(f922(x38621,a910))),f38(f922(x38621,a910),x38622))
% 178.46/178.24 [3863]E(f326(f309(f915(x38631),f922(x38631,a910),f172(x38631)),f326(f172(f915(x38631)),f54(x38631,x38632))),f326(f307(x38631),f326(f172(x38631),x38632)))
% 178.46/178.24 [3867]P106(f326(f326(f328(f922(x38671,a910)),x38672),f326(f307(x38671),x38672)))
% 178.46/178.24 [3873]E(f45(a1,f326(f78(a1),f45(a1,x38731,x38732)),x38732),f45(a1,f326(f78(a1),x38731),x38732))
% 178.46/178.24 [3884]P106(f326(f326(f234(f922(x38841,a910)),x38842),f241(f922(x38841,a910))))
% 178.46/178.24 [3886]E(f326(f326(f288(x38861,x38861,x38861),f306(x38861,x38862)),f306(x38861,f306(x38861,x38862))),f306(x38861,x38862))
% 178.46/178.24 [3887]E(f326(f326(f110(f922(x38871,a910)),f326(f263(x38871,x38871),x38872)),f326(f283(x38871,x38871),x38872)),f326(f280(x38871),x38872))
% 178.46/178.24 [3908]E(f312(x39081,x39082,f241(f922(x39081,a910)),f241(f922(x39082,a910))),f241(f922(f920(x39081,x39082),a910)))
% 178.46/178.24 [3959]P106(f326(f326(f234(a914),f45(a914,x39591,x39592)),x39591))
% 178.46/178.24 [3983]P106(f326(f326(f234(a1),f326(f78(a1),f326(f100(a1),x39831))),f326(f100(a1),x39832)))
% 178.46/178.24 [4009]P106(f326(f326(f328(f922(x40091,a910)),f188(f922(x40091,a910))),f326(f307(x40091),x40092)))
% 178.46/178.24 [4014]E(f306(x40141,f326(f326(f288(x40141,x40141,x40141),x40142),f306(x40141,x40142))),f306(x40141,x40142))
% 178.46/178.24 [4017]E(f326(f326(f288(x40171,x40171,x40171),f306(x40171,x40172)),x40172),f326(f326(f288(x40171,x40171,x40171),x40172),f306(x40171,x40172)))
% 178.46/178.24 [4019]E(f326(a104,f326(f326(f79(a1),f326(f326(f3(a1),x40191),x40192)),f77(a1))),f326(f35(a1),f302(a1,x40192,x40191)))
% 178.46/178.24 [4034]E(f326(f283(x40341,x40341),f326(f326(f288(x40341,x40341,x40341),x40342),f306(x40341,x40342))),f326(f283(x40341,x40341),x40342))
% 178.46/178.24 [4035]E(f326(f263(x40351,x40351),f326(f326(f288(x40351,x40351,x40351),x40352),f306(x40351,x40352))),f326(f263(x40351,x40351),x40352))
% 178.46/178.24 [4051]E(f326(f326(f79(a914),f326(f326(f79(a914),f326(f189(a911),x40511)),f326(f189(a911),x40512))),f326(a112,f2(a914))),f326(f189(a911),f30(x40511,x40512)))
% 178.46/178.24 [4054]E(f326(f142(f915(x40541),f915(x40541),f134(x40541),f113(x40541)),f169(f915(x40541),x40542,f113(x40541))),f113(x40541))
% 178.46/178.24 [4063]P24(a914,a914,f326(f326(f9(a914,a914,a914),f79(a914)),x40631),x40632)
% 178.46/178.24 [4065]P12(a914,f326(f168(a914),f326(f326(f154(f915(x40651),a914),f189(f915(x40651))),f179(x40651,x40652))))
% 178.46/178.24 [4096]P51(x40961,f326(f326(f110(f922(f921(x40961,x40961),a910)),x40962),f326(f285(x40961,x40961),x40962)))
% 178.46/178.24 [4097]P51(x40971,f326(f326(f101(f922(f921(x40971,x40971),a910)),x40972),f326(f285(x40971,x40971),x40972)))
% 178.46/178.24 [4108]P106(f326(f326(f235(a1),f326(f78(a1),f326(f100(a1),f326(a112,x41081)))),f326(f100(a1),x41082)))
% 178.46/178.24 [4153]E(f326(f142(f915(x41531),x41531,f326(f9(x41531,f915(x41531),f915(x41531)),f151(x41531)),f113(x41531)),x41532),f326(f168(x41531),x41532))
% 178.46/178.24 [4203]P106(f326(f326(f234(f922(f921(f915(x42031),f915(x42031)),a910)),f158(x42031,x42032)),f306(f915(x42031),f157(x42031,x42032))))
% 178.46/178.24 [4232]P106(f326(f48(x42321,x42322),f326(f326(f251(a914,a914),f326(f326(f36(a914),x42321),x42322)),f45(a914,x42321,x42322))))
% 178.46/178.24 [4244]P106(f326(f326(f234(f922(f921(f915(x42441),f915(x42441)),a910)),f157(x42441,f306(x42441,x42442))),f306(f915(x42441),f157(x42441,x42442))))
% 178.46/178.24 [4461]E(f326(f326(f258(f921(a99,a99),a99,f921(a99,a99),f921(x44611,f921(a99,a99))),f266(f326(f165(a99),f326(f326(f154(f921(a99,x44611),a99),f250(a99,x44611)),x44612)))),f326(f326(f10(x44611,f922(f921(a99,a99),f921(x44611,f921(a99,a99))),a99),f251(x44611,f921(a99,a99))),f267(x44611,x44612))),f265(x44611,x44612))
% 178.46/178.24 [4539]E(f223(a914,f921(x45391,f916(x45391)),f2(a914),f326(f256(x45391,f916(x45391),a914),f326(f18(f922(f916(x45391),a914),x45391),f326(f326(f9(f916(x45391),a914,a914),f326(f326(f10(a914,f922(a914,a914),f916(x45391)),f79(a914)),f189(f916(x45391)))),f77(a914)))),f326(f135(x45391),x45392)),f326(f189(f916(x45391)),x45392))
% 178.46/178.24 [4646]E(f326(f256(f922(f921(x46461,x46461),a910),f922(f921(x46461,x46461),a910),f922(f922(x46462,x46461),f921(f922(f921(x46462,x46462),a910),f922(f921(x46462,x46462),a910)))),f326(f326(f9(f922(f921(x46461,x46461),a910),f922(f922(f921(x46461,x46461),a910),f922(f922(x46462,x46461),f922(f921(x46462,x46462),a910))),f922(f922(f921(x46461,x46461),a910),f922(f922(x46462,x46461),f921(f922(f921(x46462,x46462),a910),f922(f921(x46462,x46462),a910))))),f326(f326(f10(f922(f922(f922(x46462,x46461),f922(f921(x46462,x46462),a910)),f922(f922(x46462,x46461),f921(f922(f921(x46462,x46462),a910),f922(f921(x46462,x46462),a910)))),f922(f922(f922(f921(x46461,x46461),a910),f922(f922(x46462,x46461),f922(f921(x46462,x46462),a910))),f922(f922(f921(x46461,x46461),a910),f922(f922(x46462,x46461),f921(f922(f921(x46462,x46462),a910),f922(f921(x46462,x46462),a910))))),f922(f921(x46461,x46461),a910)),f10(f922(f922(x46462,x46461),f922(f921(x46462,x46462),a910)),f922(f922(x46462,x46461),f921(f922(f921(x46462,x46462),a910),f922(f921(x46462,x46462),a910))),f922(f921(x46461,x46461),a910))),f326(f326(f10(f922(f922(x46462,x46461),f922(f922(f921(x46462,x46462),a910),f921(f922(f921(x46462,x46462),a910),f922(f921(x46462,x46462),a910)))),f922(f922(f922(x46462,x46461),f922(f921(x46462,x46462),a910)),f922(f922(x46462,x46461),f921(f922(f921(x46462,x46462),a910),f922(f921(x46462,x46462),a910)))),f922(f921(x46461,x46461),a910)),f20(f922(x46462,x46461),f922(f921(x46462,x46462),a910),f921(f922(f921(x46462,x46462),a910),f922(f921(x46462,x46462),a910)))),f326(f326(f10(f922(f922(x46462,x46461),f922(f921(x46462,x46462),a910)),f922(f922(x46462,x46461),f922(f922(f921(x46462,x46462),a910),f921(f922(f921(x46462,x46462),a910),f922(f921(x46462,x46462),a910)))),f922(f921(x46461,x46461),a910)),f326(f10(f922(f921(x46462,x46462),a910),f922(f922(f921(x46462,x46462),a910),f921(f922(f921(x46462,x46462),a910),f922(f921(x46462,x46462),a910))),f922(x46462,x46461)),f251(f922(f921(x46462,x46462),a910),f922(f921(x46462,x46462),a910)))),f287(x46461,x46462))))),f287(x46461,x46462))),f73(x46461,x46462))
% 178.46/178.24 [4709]~E(f326(f307(x47091),x47092),f188(f922(f922(x47091,a910),a910)))
% 178.46/178.24 [4720]~P106(f326(f326(f172(x47201),f113(x47201)),x47202))
% 178.46/178.24 [4724]~P106(f326(f326(f328(x47241),x47242),f188(f922(x47241,a910))))
% 178.46/178.24 [4732]~P106(f326(f326(f235(f922(x47321,a910)),x47322),f188(f922(x47321,a910))))
% 178.46/178.24 [3569]E(f326(f326(f3(a914),x35691),f326(f326(f79(a914),x35691),x35692)),f2(a914))
% 178.46/178.24 [3572]E(f326(f326(f110(f922(x35721,a910)),x35722),x35722),x35722)
% 178.46/178.24 [3573]E(f326(f326(f101(f922(x35731,a910)),x35732),x35732),x35732)
% 178.46/178.24 [3601]E(f326(f326(f3(f922(x36011,a910)),x36012),x36012),f188(f922(x36011,a910)))
% 178.46/178.24 [3604]E(f326(f143(x36041,x36042),f2(a914)),f188(f922(f921(f915(x36041),f915(x36041)),a910)))
% 178.46/178.24 [3605]E(f326(f326(f79(a914),x36051),f326(a112,x36052)),f326(a112,f326(f326(f79(a914),x36051),x36052)))
% 178.46/178.24 [3617]E(f194(f326(f100(a1),x36171),f326(f100(a1),x36172)),f326(f100(a1),f326(f326(f3(a914),x36171),x36172)))
% 178.46/178.24 [3620]E(f326(f326(f36(a1),f326(f78(a1),x36201)),x36202),f326(f326(f36(a1),x36201),f326(f78(a1),x36202)))
% 178.46/178.24 [3624]E(f326(f35(a1),f326(f301(a1,x36241),x36242)),f326(a104,f326(f326(f3(a1),x36242),x36241)))
% 178.46/178.24 [3627]E(f326(f326(f79(a914),f326(a112,x36271)),x36272),f326(a112,f326(f326(f79(a914),x36271),x36272)))
% 178.46/178.24 [3630]E(f326(f78(f922(x36301,a910)),f326(f78(f922(x36301,a910)),x36302)),x36302)
% 178.46/178.24 [3643]E(f179(x36431,f326(f326(f151(f915(x36431)),f113(x36431)),x36432)),f179(x36431,x36432))
% 178.46/178.24 [3647]E(f326(f326(f79(a914),x36471),f326(f326(f80(a914),x36471),x36472)),f326(f326(f80(a914),x36471),f326(a112,x36472)))
% 178.46/178.24 [3654]E(f326(f326(a4,f326(a5,x36541)),f326(a5,x36542)),f326(a5,f326(f326(f3(a914),x36541),x36542)))
% 178.46/178.24 [3669]E(f326(f326(f80(a1),f326(f78(a1),x36691)),x36692),f326(f78(a1),f326(f326(f80(a1),x36691),x36692)))
% 178.46/178.24 [3671]E(f326(f326(f243(a1),f326(f100(a1),x36711)),x36712),f326(f100(a1),f326(f326(f243(a914),x36711),x36712)))
% 178.46/178.24 [3672]E(f326(f326(f80(a99),f326(a5,x36721)),f326(a5,x36722)),f326(a5,f326(f326(f80(a914),x36721),x36722)))
% 178.46/178.24 [3673]E(f326(f326(f79(a99),f326(a5,x36731)),f326(a5,x36732)),f326(a5,f326(f326(f79(a914),x36731),x36732)))
% 178.46/178.24 [3674]E(f326(f326(f232(a914),f326(a112,x36741)),f326(a112,x36742)),f326(a112,f326(f326(f232(a914),x36741),x36742)))
% 178.46/178.24 [3675]E(f326(f326(f233(a914),f326(a112,x36751)),f326(a112,x36752)),f326(a112,f326(f326(f233(a914),x36751),x36752)))
% 178.46/178.24 [3680]E(f326(f172(a914),f139(a914,f326(f301(a914,x36801),x36802))),f326(f301(a914,x36801),x36802))
% 178.46/178.24 [3681]E(f311(x36811,f326(f326(f308(x36811),x36812),f188(f922(x36811,a910)))),x36812)
% 178.46/178.24 [3685]E(f326(f283(x36851,x36852),f188(f922(f921(x36851,x36852),a910))),f188(f922(x36852,a910)))
% 178.46/178.24 [3686]E(f326(f263(x36861,x36862),f188(f922(f921(x36861,x36862),a910))),f188(f922(x36861,a910)))
% 178.46/178.24 [3690]E(f326(a104,f326(f326(f3(a1),x36901),x36902)),f326(f35(a1),f304(a1,x36902,x36901)))
% 178.46/178.24 [3695]E(f326(f326(f79(a914),x36951),f326(f326(f80(a914),x36952),x36951)),f326(f326(f80(a914),f326(a112,x36952)),x36951))
% 178.46/178.24 [3697]E(f326(f326(f60(x36971),f188(f922(x36971,a910))),x36972),f188(f922(f922(x36971,a910),a910)))
% 178.46/178.24 [3706]E(f326(f189(f915(a914)),f139(a914,f326(f301(a914,x37061),x37062))),f326(f326(f3(a914),x37062),x37061))
% 178.46/178.24 [3721]E(f326(f326(f110(f922(x37211,a910)),f188(f922(x37211,a910))),x37212),x37212)
% 178.46/178.24 [3722]E(f326(f326(f101(f922(x37221,a910)),f241(f922(x37221,a910))),x37222),x37222)
% 178.46/178.24 [3725]E(f326(f326(f79(a1),f326(f78(a1),x37251)),f326(f78(a1),x37252)),f326(f78(a1),f326(f326(f79(a1),x37251),x37252)))
% 178.46/178.24 [3727]E(f326(f326(f80(a1),f326(f103(a1),x37271)),f326(f103(a1),x37272)),f326(f103(a1),f326(f326(f80(a1),x37271),x37272)))
% 178.46/178.24 [3729]E(f326(f326(f80(a1),f326(f100(a1),x37291)),f326(f100(a1),x37292)),f326(f100(a1),f326(f326(f80(a914),x37291),x37292)))
% 178.46/178.24 [3730]E(f326(f326(f79(a1),f326(f103(a1),x37301)),f326(f103(a1),x37302)),f326(f103(a1),f326(f326(f79(a1),x37301),x37302)))
% 178.46/178.24 [3732]E(f326(f326(f79(a1),f326(f100(a1),x37321)),f326(f100(a1),x37322)),f326(f100(a1),f326(f326(f79(a914),x37321),x37322)))
% 178.46/178.24 [3733]E(f326(f326(f36(a1),f326(f100(a1),x37331)),f326(f100(a1),x37332)),f326(f100(a1),f326(f326(f36(a914),x37331),x37332)))
% 178.46/178.24 [3752]E(f326(f326(f8(x37521,a914),f326(f18(a914,x37521),f77(a914))),x37522),f326(f35(x37521),x37522))
% 178.46/178.24 [3759]E(f326(f78(a1),f45(a1,f326(f78(a1),x37591),x37592)),f45(a1,x37591,f326(f78(a1),x37592)))
% 178.46/178.24 [3761]E(f326(f172(a1),f178(x37611,f326(f326(f3(a1),x37612),f77(a1)))),f326(f301(a1,x37611),x37612))
% 178.46/178.24 [3766]P106(f326(f326(f234(a914),x37661),f326(f326(f79(a914),x37662),x37661)))
% 178.46/178.24 [3767]P106(f326(f326(f234(a914),x37671),f326(f326(f79(a914),x37671),x37672)))
% 178.46/178.24 [3769]E(f326(f326(f110(f922(x37691,a910)),f241(f922(x37691,a910))),x37692),f241(f922(x37691,a910)))
% 178.46/178.24 [3770]E(f326(f326(f3(f922(x37701,a910)),f188(f922(x37701,a910))),x37702),f188(f922(x37701,a910)))
% 178.46/178.24 [3771]E(f326(f326(f101(f922(x37711,a910)),f188(f922(x37711,a910))),x37712),f188(f922(x37711,a910)))
% 178.46/178.24 [3778]E(f326(f326(f251(a1,a1),x37781),f326(f78(a1),x37782)),f326(a51,f326(f326(f251(a1,a1),x37781),x37782)))
% 178.46/178.24 [3779]E(f326(f301(a1,f326(f326(f79(a1),x37791),f77(a1))),x37792),f305(a1,x37791,x37792))
% 178.46/178.24 [3790]E(f326(f326(f80(a914),x37901),f326(f326(f36(a914),x37902),x37901)),f326(f326(f3(a914),x37902),f45(a914,x37902,x37901)))
% 178.46/178.24 [3791]E(f326(f326(f80(a1),x37911),f326(f326(f36(a1),x37912),x37911)),f326(f326(f3(a1),x37912),f45(a1,x37912,x37911)))
% 178.46/178.24 [3795]E(f326(f172(a1),f178(f326(f326(f79(a1),x37951),f77(a1)),x37952)),f304(a1,x37951,x37952))
% 178.46/178.24 [3799]P106(f326(f326(f234(f922(x37991,a910)),x37992),x37992))
% 178.46/178.24 [3802]E(f326(f326(f110(f922(x38021,a910)),x38022),f326(f78(f922(x38021,a910)),x38022)),f241(f922(x38021,a910)))
% 178.46/178.24 [3803]E(f326(f326(f101(f922(x38031,a910)),x38032),f326(f78(f922(x38031,a910)),x38032)),f188(f922(x38031,a910)))
% 178.46/178.24 [3811]E(f326(f326(f3(a914),f326(f326(f3(a914),x38111),f77(a914))),x38112),f326(f326(f3(a914),x38111),f326(a112,x38112)))
% 178.46/178.24 [3817]E(f326(f326(f3(f922(x38171,a910)),f241(f922(x38171,a910))),x38172),f326(f78(f922(x38171,a910)),x38172))
% 178.46/178.24 [3818]E(f326(f326(f3(a1),f326(f103(a1),x38181)),f326(f103(a1),x38182)),f326(f103(a1),f326(f326(f79(a1),x38181),f326(f78(a1),x38182))))
% 178.46/178.24 [3831]E(f326(f172(a914),f139(a914,f326(f301(a914,x38311),f326(a112,x38312)))),f302(a914,x38311,x38312))
% 178.46/178.24 [3846]E(f326(f189(f915(f915(x38461))),f54(x38461,x38462)),f326(f326(f243(a914),f326(a112,f326(a112,f2(a914)))),f326(f189(f915(x38461)),x38462)))
% 178.46/178.24 [3865]E(f326(f326(f183(f921(x38651,x38651),a910),f2(a914)),x38652),f306(x38651,f188(f922(f921(x38651,x38651),a910))))
% 178.46/178.24 [3869]P106(f326(f137(a914),f139(a914,f326(f301(a914,x38691),x38692))))
% 178.46/178.24 [3885]E(f326(f309(a1,a914,a104),f302(a1,f326(f100(a1),x38851),f326(f100(a1),x38852))),f302(a914,x38851,x38852))
% 178.46/178.24 [3894]E(f185(a914,f2(a914),f7(a914),f326(f326(f3(a914),x38941),x38942)),f326(f326(f3(a914),x38941),f326(a112,x38942)))
% 178.46/178.24 [3895]E(f326(a104,f326(f326(f3(a1),x38951),f326(f326(f79(a1),x38952),f77(a1)))),f326(f35(a1),f305(a1,x38952,x38951)))
% 178.46/178.24 [3931]E(f326(f326(f154(a914,a914),a112),f139(a914,f326(f301(a914,x39311),x39312))),f139(a914,f326(f301(a914,f326(a112,x39311)),f326(a112,x39312))))
% 178.46/178.24 [3939]E(f326(f172(a1),f178(f326(f326(f79(a1),x39391),f77(a1)),f326(f326(f3(a1),x39392),f77(a1)))),f305(a1,x39391,x39392))
% 178.46/178.24 [3951]P106(f326(f326(f234(f922(x39511,a910)),f188(f922(x39511,a910))),x39512))
% 178.46/178.24 [3955]E(f84(x39551,f326(f326(f9(x39551,x39551,a910),a323),x39552)),x39552)
% 178.46/178.24 [3956]E(f89(x39561,f326(f326(f9(x39561,x39561,a910),a323),x39562)),x39562)
% 178.46/178.24 [3960]E(f326(f172(a914),f139(a914,f326(f301(a914,f326(a112,x39601)),f326(a112,x39602)))),f304(a914,x39601,x39602))
% 178.46/178.24 [3986]E(f326(f326(f253(x39861,x39862),f241(f922(x39861,a910))),f326(f18(f922(x39862,a910),x39861),f241(f922(x39862,a910)))),f241(f922(f921(x39861,x39862),a910)))
% 178.46/178.24 [4021]E(f326(f261(x40211),f326(f326(f10(a910,a910,x40211),a321),x40212)),f326(f78(f922(x40211,a910)),f326(f261(x40211),x40212)))
% 178.46/178.24 [4024]E(f326(f261(x40241),f326(f326(f9(x40241,x40241,a910),a323),x40242)),f326(f326(f308(x40241),x40242),f188(f922(x40241,a910))))
% 178.46/178.24 [4031]E(f326(f326(f79(a1),f326(f326(f3(a1),x40311),x40312)),f326(f326(f3(a1),x40311),x40312)),f326(f326(f3(a1),f326(f326(f79(a1),x40311),x40311)),f326(f326(f79(a1),x40312),x40312)))
% 178.46/178.24 [4032]E(f326(f326(f79(a1),f326(f326(f79(a1),x40321),x40321)),f326(f326(f79(a1),x40322),x40322)),f326(f326(f79(a1),f326(f326(f79(a1),x40321),x40322)),f326(f326(f79(a1),x40321),x40322)))
% 178.46/178.24 [4048]P106(f326(f326(f234(a914),f326(f35(x40481),f326(f172(x40481),x40482))),f326(f189(f915(x40481)),x40482)))
% 178.46/178.24 [4049]P106(f326(f326(f234(a914),f326(f189(f915(x40491)),f152(x40491,x40492))),f326(f189(f915(x40491)),x40492)))
% 178.46/178.24 [4060]E(f326(f261(x40601),f326(f326(f9(x40601,f922(x40601,a910),a910),f328(x40601)),x40602)),x40602)
% 178.46/178.24 [4074]E(f326(f326(f175(x40741),f326(f326(f3(a914),f326(f189(f915(x40741)),x40742)),f77(a914))),x40742),f114(x40741,x40742))
% 178.46/178.24 [4095]E(f185(a914,f2(a914),f326(f326(f10(a914,a914,a914),a112),f326(f232(a914),x40951)),x40952),f326(f326(f232(a914),f326(a112,x40951)),x40952))
% 178.46/178.24 [4100]E(f37(f922(x41001,a910),f326(f309(f922(f921(x41001,x41001),a910),f922(x41001,a910),f280(x41001)),x41002)),f326(f280(x41001),f37(f922(f921(x41001,x41001),a910),x41002)))
% 178.46/178.24 [4101]E(f185(a914,f326(a112,x41011),f326(f326(f10(a914,a914,a914),a112),f326(f233(a914),x41011)),x41012),f326(f326(f233(a914),f326(a112,x41011)),x41012))
% 178.46/178.24 [4103]E(f326(f326(f251(a1,a1),f326(f326(f36(a1),f326(f75(a1),x41031)),f326(f75(a1),x41032))),f45(a1,f326(f75(a1),x41031),f326(f75(a1),x41032))),f53(x41031,x41032))
% 178.46/178.24 [4126]P106(f326(f326(f234(f922(f922(x41261,a910),a910)),x41262),f326(f307(x41261),f37(f922(x41261,a910),x41262))))
% 178.46/178.24 [4158]E(f326(f326(f40(x41581,f922(x41581,a910)),x41582),f326(f326(f9(x41581,f922(x41581,a910),f922(x41581,a910)),f308(x41581)),f188(f922(x41581,a910)))),x41582)
% 178.46/178.24 [4159]E(f326(f326(f288(x41591,x41591,x41591),f326(f285(x41591,x41591),x41592)),f306(x41591,f326(f285(x41591,x41591),x41592))),f326(f285(x41591,x41591),f326(f326(f288(x41591,x41591,x41591),x41592),f306(x41591,x41592))))
% 178.46/178.24 [4224]E(f326(f172(x42241),f326(f142(f915(x42241),f915(x42241),f134(x42241),f113(x42241)),x42242)),f326(f326(f40(f915(x42241),f922(x42241,a910)),f326(f172(f915(x42241)),x42242)),f172(x42241)))
% 178.46/178.24 [4255]E(f326(f326(f110(f922(f921(x42551,x42551),a910)),f306(x42551,f188(f922(f921(x42551,x42551),a910)))),f326(f326(f288(x42551,x42551,x42551),f306(x42551,x42552)),x42552)),f306(x42551,x42552))
% 178.46/178.24 [4291]E(f326(f326(f181(x42911,x42911),x42912),x42912),f326(f326(f154(x42911,f921(x42911,x42911)),f326(f326(f20(x42911,x42911,f921(x42911,x42911)),f251(x42911,x42911)),f7(x42911))),x42912))
% 178.46/178.24 [4403]E(f326(f142(a914,f915(x44031),f326(f9(f915(x44031),a914,a914),f326(f326(f10(a914,f922(a914,a914),f915(x44031)),f233(a914)),f189(f915(x44031)))),f2(a914)),f326(f168(f915(x44031)),x44032)),f326(f189(f915(f915(x44031))),f179(x44031,x44032)))
% 178.46/178.24 [4475]E(f326(f326(f287(f921(a914,f915(x44751)),f915(x44751)),f319(a914,f915(x44751),a239,f145(x44751,x44752))),f326(f326(f20(f915(x44751),f915(x44751),f921(a914,f915(x44751))),f326(f326(f10(a914,f922(f915(x44751),f921(a914,f915(x44751))),f915(x44751)),f251(a914,f915(x44751))),f189(f915(x44751)))),f7(f915(x44751)))),f146(x44751,x44752))
% 178.46/178.24 [4603]E(f326(f261(x46031),f326(f326(f10(f922(f922(x46031,a910),a910),a910,x46031),f86(f922(x46031,a910))),f326(f326(f10(f922(f922(x46031,a910),a910),f922(f922(x46031,a910),a910),x46031),f326(f20(f922(x46031,a910),a910,a910),f326(f326(f10(a910,f922(a910,a910),f922(x46031,a910)),a325),f326(f326(f9(f922(x46031,a910),f922(f922(x46031,a910),a910),a910),f328(f922(x46031,a910))),x46032)))),f328(x46031)))),f37(f922(x46031,a910),x46032))
% 178.46/178.24 [4604]E(f326(f261(x46041),f326(f326(f10(f922(f922(x46041,a910),a910),a910,x46041),f87(f922(x46041,a910))),f326(f326(f10(f922(f922(x46041,a910),a910),f922(f922(x46041,a910),a910),x46041),f326(f20(f922(x46041,a910),a910,a910),f326(f326(f10(a910,f922(a910,a910),f922(x46041,a910)),a329),f326(f326(f9(f922(x46041,a910),f922(f922(x46041,a910),a910),a910),f328(f922(x46041,a910))),x46042)))),f328(x46041)))),f38(f922(x46041,a910),x46042))
% 178.46/178.24 [4733]~P106(f326(f326(f235(a1),f326(f100(a1),x47331)),f326(f78(a1),f326(f100(a1),x47332))))
% 178.46/178.24 [3693]E(f326(f326(f3(a914),f326(f326(f79(a914),x36931),x36932)),x36932),x36931)
% 178.46/178.24 [3694]E(f326(f326(f3(a914),f326(f326(f79(a914),x36941),x36942)),x36941),x36942)
% 178.46/178.24 [3760]E(f326(f326(f79(a914),f326(f326(f3(a914),x37601),x37602)),x37602),f326(f326(f233(a914),x37601),x37602))
% 178.46/178.24 [3872]E(f326(f326(f80(a914),f326(f326(f36(a914),x38721),x38722)),x38722),f326(f326(f3(a914),x38721),f45(a914,x38721,x38722)))
% 178.46/178.24 [3899]E(f326(f172(a914),f139(a914,f326(f301(a914,f326(a112,x38991)),x38992))),f305(a914,x38991,x38992))
% 178.46/178.24 [3907]E(f326(f100(a1),f216(f326(a104,f326(f75(a1),x39071)),f326(a104,f326(f75(a1),x39072)))),f326(f326(a217,x39071),x39072))
% 178.46/178.24 [3909]E(f326(f326(f110(f922(x39091,a910)),f326(f78(f922(x39091,a910)),x39092)),x39092),f241(f922(x39091,a910)))
% 178.46/178.24 [3910]E(f326(f326(f101(f922(x39101,a910)),f326(f78(f922(x39101,a910)),x39102)),x39102),f188(f922(x39101,a910)))
% 178.46/178.24 [3927]P106(f326(f326(f234(a914),f326(f326(f3(a914),x39271),x39272)),x39271))
% 178.46/178.24 [3928]P106(f326(f326(f234(a914),f326(f326(f36(a914),x39281),x39282)),x39281))
% 178.46/178.24 [3952]P106(f326(f326(f235(a914),x39521),f326(a112,f326(f326(f79(a914),x39522),x39521))))
% 178.46/178.24 [3953]P106(f326(f326(f235(a914),x39531),f326(a112,f326(f326(f79(a914),x39531),x39532))))
% 178.46/178.24 [3970]E(f326(f326(f80(a914),f326(a104,f326(f75(a1),x39701))),f326(a104,f326(f75(a1),x39702))),f326(a104,f326(f75(a1),f326(f326(f80(a1),x39701),x39702))))
% 178.46/178.24 [3982]P106(f326(f326(f234(a1),f2(a1)),f326(f326(f243(a1),f326(f75(a1),x39821)),x39822)))
% 178.46/178.24 [4053]E(f326(f284(f915(x40531),f915(x40531),f158(x40531,x40532)),f326(f326(f308(f915(x40531)),f113(x40531)),f188(f922(f915(x40531),a910)))),f326(f326(f308(f915(x40531)),f113(x40531)),f188(f922(f915(x40531),a910))))
% 178.46/178.24 [4072]E(f326(f326(f110(f922(f921(x40721,x40721),a910)),f306(x40721,x40722)),f306(x40721,f188(f922(f921(x40721,x40721),a910)))),f306(x40721,x40722))
% 178.46/178.24 [4085]E(f326(f326(f36(a1),f326(f103(a1),f326(f326(f79(a1),x40851),x40851))),f326(f103(a1),f326(f326(f79(a1),x40852),x40852))),f326(f326(f36(a1),f326(f103(a1),x40851)),f326(f103(a1),x40852)))
% 178.46/178.24 [4148]E(f326(f326(f243(a1),x41481),f326(f103(a914),f326(f326(f79(a1),x41482),x41482))),f326(f326(f85(a1,a1),f326(f326(f243(a1),x41481),f326(f103(a914),x41482))),f326(f326(f20(a1,a1,a1),f80(a1)),f7(a1))))
% 178.46/178.24 [4154]E(f326(f261(f922(x41541,a910)),f326(f326(f9(f922(x41541,a910),f922(x41541,a910),a910),f234(f922(x41541,a910))),x41542)),f326(f307(x41541),x41542))
% 178.46/178.24 [4170]E(f326(f326(f154(a1,a914),a104),f326(f326(f134(a1),f326(f326(f154(a914,a1),f100(a1)),x41701)),f326(f326(f154(a914,a1),f100(a1)),x41702))),f326(f326(f134(a914),x41701),x41702))
% 178.46/178.24 [4202]E(f326(f309(a1,a1,f326(f326(f9(a1,a1,a1),f79(a1)),x42021)),f326(f301(a1,f2(a1)),f326(f326(f3(a1),x42022),x42021))),f326(f301(a1,x42021),x42022))
% 178.46/178.24 [4204]P53(x42041,f326(f326(f3(f922(f921(x42041,x42041),a910)),x42042),f306(x42041,f188(f922(f921(x42041,x42041),a910)))))
% 178.46/178.24 [4222]E(f326(f189(f915(x42221)),f326(f142(f915(x42221),f915(x42221),f134(x42221),f113(x42221)),x42222)),f326(f165(a914),f326(f326(f154(f915(x42221),a914),f189(f915(x42221))),x42222)))
% 178.46/178.24 [4226]P52(x42261,f241(f922(x42261,a910)),f326(f326(f110(f922(f921(x42261,x42261),a910)),x42262),f306(x42261,f188(f922(f921(x42261,x42261),a910)))))
% 178.46/178.24 [4271]E(f185(a914,f2(a914),f326(f326(f10(a914,a914,a914),a112),f326(f326(f9(a914,a914,a914),f232(a914)),x42711)),x42712),f326(f326(f232(a914),x42712),f326(a112,x42711)))
% 178.46/178.24 [4274]E(f185(a914,f326(a112,x42741),f326(f326(f10(a914,a914,a914),a112),f326(f326(f9(a914,a914,a914),f233(a914)),x42741)),x42742),f326(f326(f233(a914),x42742),f326(a112,x42741)))
% 178.46/178.24 [4277]E(f326(f309(x42771,f915(x42771),f326(f326(f9(x42771,f915(x42771),f915(x42771)),f151(x42771)),f113(x42771))),x42772),f174(x42771,x42772,f326(f326(f308(f915(x42771)),f113(x42771)),f188(f922(f915(x42771),a910)))))
% 178.46/178.24 [4279]E(f326(f326(f110(f922(f921(x42791,x42791),a910)),f326(f326(f288(x42791,x42791,x42791),x42792),f306(x42791,x42792))),f306(x42791,f188(f922(f921(x42791,x42791),a910)))),f306(x42791,x42792))
% 178.46/178.24 [4286]P106(f326(f326(f234(f922(f921(x42861,x42861),a910)),f262(x42861,x42862)),f326(f326(f253(x42861,x42861),x42862),f326(f18(f922(x42861,a910),x42861),x42862))))
% 178.46/178.24 [4289]E(f326(f309(a1,a914,a104),f326(f326(f110(f922(a1,a910)),f326(f309(a914,a1,f100(a1)),x42891)),f326(f309(a914,a1,f100(a1)),x42892))),f326(f326(f110(f922(a914,a910)),x42891),x42892))
% 178.46/178.24 [4290]E(f326(f309(a1,a914,a104),f326(f326(f101(f922(a1,a910)),f326(f309(a914,a1,f100(a1)),x42901)),f326(f309(a914,a1,f100(a1)),x42902))),f326(f326(f101(f922(a914,a910)),x42901),x42902))
% 178.46/178.24 [4293]E(f326(f261(x42931),f326(f326(f10(a910,a910,x42931),a321),f326(f326(f9(x42931,f922(x42931,a910),a910),f328(x42931)),x42932))),f326(f78(f922(x42931,a910)),x42932))
% 178.46/178.24 [4320]E(f326(f142(f915(x43201),f915(x43201),f134(x43201),f113(x43201)),f326(f326(f154(f915(x43201),f915(x43201)),f168(x43201)),f326(f168(f915(x43201)),x43202))),f326(f168(x43201),f326(f142(f915(x43201),f915(x43201),f134(x43201),f113(x43201)),x43202)))
% 178.46/178.24 [4346]E(f326(f326(f40(a914,f922(f921(x43461,x43461),a910)),f241(f922(a914,a910))),f326(f326(f9(a914,f922(f921(x43461,x43461),a910),f922(f921(x43461,x43461),a910)),f183(f921(x43461,x43461),a910)),x43462)),f306(x43461,x43462))
% 178.46/178.24 [4364]E(f84(x43641,f326(f326(f10(f922(x43641,a910),a910,x43641),f326(a323,x43642)),f326(f326(f9(x43641,f922(x43641,a910),f922(x43641,a910)),f308(x43641)),f188(f922(x43641,a910))))),f311(x43641,x43642))
% 178.46/178.24 [4372]E(f326(f189(f915(x43721)),f152(x43721,f326(f142(f915(x43721),f915(x43721),f134(x43721),f113(x43721)),x43722))),f326(f35(x43721),f326(f326(f40(f915(x43721),f922(x43721,a910)),f326(f172(f915(x43721)),x43722)),f172(x43721))))
% 178.46/178.24 [4386]E(f326(f326(f110(f922(f921(x43861,x43861),a910)),x43862),f326(f326(f288(x43861,x43861,x43861),f326(f326(f288(x43861,x43861,x43861),x43862),f306(x43861,x43862))),x43862)),f326(f326(f288(x43861,x43861,x43861),x43862),f306(x43861,x43862)))
% 178.46/178.24 [4411]P106(f326(f326(f234(f922(f921(x44111,x44111),a910)),f326(f326(f288(x44111,x44111,x44111),x44112),f306(x44111,x44112))),f326(f326(f253(x44111,x44111),f326(f280(x44111),x44112)),f326(f18(f922(x44111,a910),x44111),f326(f280(x44111),x44112)))))
% 178.46/178.24 [4452]E(f326(f261(f915(x44521)),f326(f326(f9(f915(x44521),f922(x44521,a910),a910),f326(f326(f10(f922(x44521,a910),f922(f922(x44521,a910),a910),f915(x44521)),f234(f922(x44521,a910))),f172(x44521))),x44522)),f161(x44521,x44522))
% 178.46/178.24 [4463]E(f326(f156(f915(x44631),x44631,f113(x44631),f326(f326(f10(f915(x44631),f922(f915(x44631),f915(x44631)),x44631),f326(f9(f915(x44631),f915(x44631),f915(x44631)),f134(x44631))),f326(f326(f9(x44631,f915(x44631),f915(x44631)),f151(x44631)),f113(x44631)))),x44632),f326(f167(x44631),x44632))
% 178.46/178.24 [4504]P24(f922(x45041,x45042),f922(f921(x45041,x45042),a910),f326(f326(f10(f922(f921(x45041,x45042),a910),f922(f921(x45041,x45042),a910),f922(x45041,x45042)),f261(f921(x45041,x45042))),f326(f326(f10(f922(x45041,f922(x45042,a910)),f922(f921(x45041,x45042),a910),f922(x45041,x45042)),f256(x45041,x45042,a910)),f326(f10(x45042,f922(x45042,a910),x45041),f326(f9(x45042,x45042,a910),a323)))),f241(f922(f922(x45041,x45042),a910)))
% 178.46/178.24 [4509]E(f45(a1,f326(f103(a1),f326(f326(f79(a1),x45091),x45091)),f326(f103(a1),f326(f326(f79(a1),x45092),x45092))),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f45(a1,f326(f103(a1),x45091),f326(f103(a1),x45092))))
% 178.46/178.24 [4553]E(f326(f326(f40(x45531,f922(f921(x45531,x45531),a910)),x45532),f326(f326(f9(x45531,f922(f921(x45531,x45531),a910),f922(f921(x45531,x45531),a910)),f326(f326(f10(f921(x45531,x45531),f922(f922(f921(x45531,x45531),a910),f922(f921(x45531,x45531),a910)),x45531),f308(f921(x45531,x45531))),f326(f326(f20(x45531,x45531,f921(x45531,x45531)),f251(x45531,x45531)),f7(x45531)))),f188(f922(f921(x45531,x45531),a910)))),f262(x45531,x45532))
% 178.46/178.24 [4561]E(f202(x45611,f326(f326(f251(a1,a1),f326(f78(a1),f326(f326(f72(f921(a1,a1),a1,x45611,f250(a1,a1)),f212(x45611)),x45612))),f326(f326(f72(f921(a1,a1),a1,x45611,f255(a1,a1)),f212(x45611)),x45612))),f227(x45611,x45612))
% 178.46/178.24 [4642]E(f326(f261(f922(x46421,a910)),f326(f326(f10(f922(f922(x46421,a910),a910),a910,f922(x46421,a910)),f86(f922(x46421,a910))),f326(f326(f9(f922(x46421,a910),f922(f922(x46421,a910),a910),f922(f922(x46421,a910),a910)),f326(f326(f10(f922(f922(x46421,a910),f922(a910,a910)),f922(f922(f922(x46421,a910),a910),f922(f922(x46421,a910),a910)),f922(x46421,a910)),f20(f922(x46421,a910),a910,a910)),f326(f326(f10(f922(f922(x46421,a910),a910),f922(f922(x46421,a910),f922(a910,a910)),f922(x46421,a910)),f326(f10(a910,f922(a910,a910),f922(x46421,a910)),a325)),f326(f326(f9(f922(x46421,a910),f922(f922(x46421,a910),f922(x46421,a910)),f922(f922(x46421,a910),a910)),f326(f326(f10(f922(f922(x46421,a910),a910),f922(f922(f922(x46421,a910),f922(x46421,a910)),f922(f922(x46421,a910),a910)),f922(x46421,a910)),f10(f922(x46421,a910),a910,f922(x46421,a910))),a323)),f78(f922(x46421,a910)))))),f326(f326(f10(f922(f922(x46421,a910),a910),a910,f922(x46421,a910)),f326(f328(f922(x46421,a910)),x46422)),f307(x46421))))),f326(f307(x46421),f326(f78(f922(x46421,a910)),x46422)))
% 178.46/178.24 [4731]~E(f326(f326(f79(a1),x47311),x47311),f326(f326(f3(a1),f326(f326(f79(a1),x47312),x47312)),a97))
% 178.46/178.24 [4735]~P106(f326(f326(f235(a914),f326(f326(f79(a914),x47351),x47352)),x47352))
% 178.46/178.24 [4736]~P106(f326(f326(f235(a914),f326(f326(f79(a914),x47361),x47362)),x47361))
% 178.46/178.24 [3987]E(f326(f326(f3(a914),x39871),f326(f326(f80(a914),f326(f326(f36(a914),x39871),x39872)),x39872)),f45(a914,x39871,x39872))
% 178.46/178.24 [3988]E(f326(f326(f3(a1),x39881),f326(f326(f80(a1),f326(f326(f36(a1),x39881),x39882)),x39882)),f45(a1,x39881,x39882))
% 178.46/178.24 [4022]E(f326(f326(f154(a914,x40221),f326(f164(x40221),x40222)),f139(a914,f326(f301(a914,f2(a914)),f326(f189(f915(x40221)),x40222)))),x40222)
% 178.46/178.24 [4081]E(f326(f284(x40811,x40811,f306(x40811,f188(f922(f921(x40811,x40811),a910)))),x40812),x40812)
% 178.46/178.24 [4207]E(f306(x42071,f326(f326(f110(f922(f921(x42071,x42071),a910)),x42072),f306(x42071,f188(f922(f921(x42071,x42071),a910))))),f306(x42071,x42072))
% 178.46/178.24 [4208]E(f306(x42081,f326(f326(f3(f922(f921(x42081,x42081),a910)),x42082),f306(x42081,f188(f922(f921(x42081,x42081),a910))))),f306(x42081,x42082))
% 178.46/178.24 [4258]E(f326(f326(f3(a1),f326(f326(f3(a1),f326(f326(f79(a1),x42581),x42581)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),x42582),x42582)),a97)),f326(f326(f79(a1),f326(f326(f3(a1),x42581),x42582)),f326(f326(f3(a1),x42581),x42582)))
% 178.46/178.24 [4298]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f79(a1),x42981),x42982)),f326(f326(f79(a1),x42981),x42982))),a97),f326(f326(f79(a1),f326(f326(f79(a1),x42981),x42981)),f326(f326(f3(a1),f326(f326(f79(a1),x42982),x42982)),a97)))
% 178.46/178.24 [4323]E(f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),x43231),x43231)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),x43232),x43232)),a97)),f326(f326(f79(a1),f326(f326(f79(a1),x43231),f326(f326(f3(a1),x43232),a97))),f326(f326(f79(a1),x43231),f326(f326(f3(a1),x43232),a97))))
% 178.46/178.24 [4334]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),x43341),x43342)),f326(f326(f3(a1),x43341),x43342))),a97),f326(f326(f3(a1),f326(f326(f3(a1),f326(f326(f79(a1),x43341),x43341)),a97)),f326(f326(f79(a1),x43342),x43342)))
% 178.46/178.24 [4335]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f79(a1),x43351),x43352)),f326(f326(f79(a1),x43351),x43352))),a97),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),x43351),x43351)),a97)),f326(f326(f79(a1),x43352),x43352)))
% 178.46/178.24 [4383]E(f326(f100(a1),f326(f326(f36(a914),f326(f326(f80(a914),f326(a104,f326(f75(a1),x43831))),f326(a104,f326(f75(a1),x43832)))),f216(f326(a104,f326(f75(a1),x43831)),f326(a104,f326(f75(a1),x43832))))),f218(x43831,x43832))
% 178.46/178.24 [4429]E(f326(f326(f258(f921(a99,a99),a99,f921(a99,a99),f921(x44291,f921(a99,a99))),f266(f326(a5,f326(f189(f915(x44291)),x44292)))),f326(f326(f10(x44291,f922(f921(a99,a99),f921(x44291,f921(a99,a99))),a99),f251(x44291,f921(a99,a99))),f326(f326(f10(a914,x44291,a99),f326(f164(x44291),x44292)),a22))),f274(x44291,x44292))
% 178.46/178.24 [4510]E(f326(f142(a914,f915(x45101),f326(f9(f915(x45101),a914,a914),f326(f326(f10(a914,f922(a914,a914),f915(x45101)),f233(a914)),f189(f915(x45101)))),f2(a914)),f326(f168(f915(x45101)),f179(x45101,x45102))),f326(f189(f915(f915(x45101))),f326(f136(f915(x45101),f326(f326(f10(a910,a910,f915(x45101)),a321),f326(f326(f9(f915(x45101),f915(x45101),a910),a323),f113(x45101)))),x45102)))
% 178.46/178.24 [4516]E(f326(f326(f40(a914,f922(x45161,a910)),f241(f922(a914,a910))),f326(f326(f9(a914,f922(a914,f922(x45161,a910)),f922(x45161,a910)),f326(f326(f10(f922(a914,a910),f922(f922(a914,f922(x45161,a910)),f922(x45161,a910)),a914),f40(a914,f922(x45161,a910))),f301(a914,f2(a914)))),x45162)),f326(f326(f40(a914,f922(x45161,a910)),f241(f922(a914,a910))),x45162))
% 178.46/178.24 [4538]P106(f326(f61(a914),f326(f261(a914),f326(f326(f20(a914,a910,a910),f326(f326(f10(a910,f922(a910,a910),a914),a325),x45381)),f326(f326(f9(a914,a914,a910),f235(a914)),x45382)))))
% 178.46/178.24 [4651]E(f326(f261(f921(f915(x46511),f915(x46511))),f326(f256(f915(x46511),f915(x46511),a910),f326(f326(f20(f915(x46511),f922(f915(x46511),a910),f922(f915(x46511),a910)),f326(f326(f10(f922(f915(x46511),f922(a910,a910)),f922(f922(f915(x46511),a910),f922(f915(x46511),a910)),f915(x46511)),f20(f915(x46511),a910,a910)),f326(f326(f10(f922(f915(x46511),a910),f922(f915(x46511),f922(a910,a910)),f915(x46511)),f326(f10(a910,f922(a910,a910),f915(x46511)),a324)),f326(f326(f9(f915(x46511),f922(f915(x46511),a914),f922(f915(x46511),a910)),f326(f326(f10(f922(a914,a910),f922(f922(f915(x46511),a914),f922(f915(x46511),a910)),f915(x46511)),f10(a914,a910,f915(x46511))),f326(f326(f10(a914,f922(a914,a910),f915(x46511)),f235(a914)),f189(f915(x46511))))),f189(f915(x46511)))))),f326(f326(f20(f915(x46511),f922(f915(x46511),a910),f922(f915(x46511),a910)),f326(f326(f10(f922(f915(x46511),f922(a910,a910)),f922(f922(f915(x46511),a910),f922(f915(x46511),a910)),f915(x46511)),f20(f915(x46511),a910,a910)),f326(f326(f10(f922(f915(x46511),a910),f922(f915(x46511),f922(a910,a910)),f915(x46511)),f326(f10(a910,f922(a910,a910),f915(x46511)),a325)),f326(f326(f9(f915(x46511),f922(f915(x46511),a914),f922(f915(x46511),a910)),f326(f326(f10(f922(a914,a910),f922(f922(f915(x46511),a914),f922(f915(x46511),a910)),f915(x46511)),f10(a914,a910,f915(x46511))),f326(f326(f10(a914,f922(a914,a910),f915(x46511)),a323),f189(f915(x46511))))),f189(f915(x46511)))))),f326(f326(f9(f915(x46511),f922(f921(f915(x46511),f915(x46511)),a910),f922(f915(x46511),a910)),f326(f326(f10(f922(f915(x46511),f922(f922(f921(f915(x46511),f915(x46511)),a910),a910)),f922(f922(f921(f915(x46511),f915(x46511)),a910),f922(f915(x46511),a910)),f915(x46511)),f9(f915(x46511),f922(f921(f915(x46511),f915(x46511)),a910),a910)),f326(f326(f10(f922(f915(x46511),f921(f915(x46511),f915(x46511))),f922(f915(x46511),f922(f922(f921(f915(x46511),f915(x46511)),a910),a910)),f915(x46511)),f326(f10(f921(f915(x46511),f915(x46511)),f922(f922(f921(f915(x46511),f915(x46511)),a910),a910),f915(x46511)),f328(f921(f915(x46511),f915(x46511))))),f251(f915(x46511),f915(x46511))))),f145(x46511,x46512)))))),f146(x46511,x46512))
% 178.46/178.24 [4326]E(f326(f326(f79(a1),f326(f326(f79(a1),f326(f326(f80(a1),x43261),x43262)),f326(f326(f80(a1),x43261),x43262))),x43262),f326(f326(f80(a1),f326(f326(f3(a1),f326(f326(f79(a1),x43261),x43261)),a97)),x43262))
% 178.46/178.24 [4428]E(f326(a104,f326(a88,f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),f326(f326(f251(a914,a914),x44281),x44282)),f188(f922(f921(a914,a914),a910)))))),f326(f326(f3(a914),x44281),x44282))
% 178.46/178.24 [4432]E(f326(f326(f288(x44321,x44321,x44321),f326(f326(f110(f922(f921(x44321,x44321),a910)),x44322),f306(x44321,f188(f922(f921(x44321,x44321),a910))))),f306(x44321,f326(f326(f110(f922(f921(x44321,x44321),a910)),x44322),f306(x44321,f188(f922(f921(x44321,x44321),a910)))))),f306(x44321,x44322))
% 178.46/178.24 [4469]E(f267(x44691,f326(f136(f921(a99,x44691),f326(f256(a99,x44691,a910),f326(f326(f10(a910,f922(x44691,a910),a99),f18(a910,x44691)),f326(f235(a99),f2(a99))))),x44692)),f267(x44691,x44692))
% 178.46/178.24 [4470]E(f265(x44701,f326(f136(f921(a99,x44701),f326(f256(a99,x44701,a910),f326(f326(f10(a910,f922(x44701,a910),a99),f18(a910,x44701)),f326(f235(a99),f2(a99))))),x44702)),f265(x44701,x44702))
% 178.46/178.24 [4472]E(f326(f78(a1),f326(a88,f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),f326(f326(f251(a914,a914),x44721),x44722)),f188(f922(f921(a914,a914),a910)))))),f326(a88,f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),f326(f326(f251(a914,a914),x44722),x44721)),f188(f922(f921(a914,a914),a910))))))
% 178.46/178.24 [4529]E(f326(f326(f287(f915(a914),x45291),f145(a914,a239)),f326(f326(f9(x45291,f915(f922(x45291,a914)),f915(a914)),f326(f326(f10(f922(f922(x45291,a914),a914),f922(f915(f922(x45291,a914)),f915(a914)),x45291),f154(f922(x45291,a914),a914)),f326(f9(f922(x45291,a914),x45291,a914),f7(f922(x45291,a914))))),x45292)),f153(x45291,x45292))
% 178.46/178.24 [4550]E(f326(f326(f85(a1,a914),f326(f103(a1),f326(f326(f79(a1),x45501),a97))),f326(f326(f20(a1,a914,a914),f326(f326(f9(a1,a914,f922(a914,a914)),f326(f326(f10(a910,f922(a914,f922(a914,a914)),a1),f96(a914)),a193)),f2(a914))),f326(f326(f10(a914,a914,a1),a112),f326(f326(f10(a914,a914,a1),f326(f232(a914),x45502)),a104)))),f326(f326(f232(a914),f326(a112,x45502)),f326(f103(a914),x45501)))
% 178.46/178.24 [4551]E(f326(f326(f85(a1,a914),f326(f103(a1),f326(f326(f79(a1),x45511),a97))),f326(f326(f20(a1,a914,a914),f326(f326(f9(a1,a914,f922(a914,a914)),f326(f326(f10(a910,f922(a914,f922(a914,a914)),a1),f96(a914)),a193)),f326(a112,x45512))),f326(f326(f10(a914,a914,a1),a112),f326(f326(f10(a914,a914,a1),f326(f233(a914),x45512)),a104)))),f326(f326(f233(a914),f326(a112,x45512)),f326(f103(a914),x45511)))
% 178.46/178.24 [4571]E(f326(f142(f915(x45711),f915(x45711),f134(x45711),f113(x45711)),f326(f326(f154(f915(x45711),f915(x45711)),f156(f915(x45711),x45711,f113(x45711),f326(f326(f10(f915(x45711),f922(f915(x45711),f915(x45711)),x45711),f18(f915(x45711),f915(x45711))),f326(f326(f9(x45711,f915(x45711),f915(x45711)),f151(x45711)),f113(x45711))))),x45712)),f326(f326(f154(f915(x45711),x45711),f141(x45711)),f326(f136(f915(x45711),f326(f326(f10(a910,a910,f915(x45711)),a321),f326(f326(f9(f915(x45711),f915(x45711),a910),a323),f113(x45711)))),x45712)))
% 178.46/178.24 [4633]E(f326(f256(a1,a1,a910),f326(f326(f9(a1,f922(a1,a910),f922(a1,a910)),f326(f326(f10(f922(a1,f922(a910,a910)),f922(f922(a1,a910),f922(a1,a910)),a1),f20(a1,a910,a910)),f326(f326(f10(f922(a1,a910),f922(a1,f922(a910,a910)),a1),f326(f10(a910,f922(a910,a910),a1),a325)),f326(f326(f10(f922(a1,a1),f922(a1,a910),a1),f326(f10(a1,a910,a1),f326(a323,x46331))),f326(f326(f10(a1,f922(a1,a1),a1),f79(a1)),f326(f80(a1),x46332)))))),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a325),f326(f326(f10(a910,a910,a1),f326(a329,f326(f326(f235(a1),f2(a1)),x46332))),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a325),f326(f234(a1),f2(a1)))),f326(f326(f9(a1,a1,a910),f235(a1)),x46332))))),f326(f326(f10(a910,a910,a1),f326(a329,f326(a321,f326(f326(f235(a1),f2(a1)),x46332)))),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a325),f326(f235(a1),x46332))),f326(f326(f9(a1,a1,a910),f234(a1)),f2(a1))))))),f49(x46331,x46332))
% 178.46/178.24 [4636]E(f326(f261(x46361),f326(f326(f10(f922(a914,a910),a910,x46361),f86(a914)),f326(f326(f9(x46361,f922(a914,a910),f922(a914,a910)),f326(f326(f10(f922(a914,f922(a910,a910)),f922(f922(a914,a910),f922(a914,a910)),x46361),f20(a914,a910,a910)),f326(f326(f10(f922(a914,a910),f922(a914,f922(a910,a910)),x46361),f326(f10(a910,f922(a910,a910),a914),a325)),f326(f326(f9(x46361,f922(a914,x46361),f922(a914,a910)),f326(f326(f10(f922(x46361,a910),f922(f922(a914,x46361),f922(a914,a910)),x46361),f10(x46361,a910,a914)),a323)),f326(f164(x46361),x46362))))),f326(f326(f9(a914,a914,a910),f235(a914)),f326(f189(f915(x46361)),x46362))))),f326(f172(x46361),x46362))
% 178.46/178.24 [4442]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),x44421),a97)),x44422)),f326(f326(f3(a1),f326(f326(f79(a1),x44421),a97)),x44422))),a97),f326(f326(f3(a1),f326(f326(f79(a1),x44421),x44421)),f326(f326(f3(a1),f326(f326(f79(a1),x44422),x44422)),a97)))
% 178.46/178.24 [4566]E(f326(f142(f915(f915(x45661)),f915(f915(x45661)),f134(f915(x45661)),f113(f915(x45661))),f326(f326(f154(f915(x45661),f915(f915(x45661))),f156(f915(f915(x45661)),x45661,f113(f915(x45661)),f326(f18(f922(f915(x45661),f915(f915(x45661))),x45661),f326(f326(f9(f915(x45661),f915(f915(x45661)),f915(f915(x45661))),f151(f915(x45661))),f113(f915(x45661)))))),x45662)),f326(f326(f154(f915(x45661),f915(x45661)),f171(x45661)),f326(f136(f915(x45661),f326(f326(f10(a910,a910,f915(x45661)),a321),f326(f326(f9(f915(x45661),f915(x45661),a910),a323),f113(x45661)))),x45662)))
% 178.46/178.24 [4576]E(f326(f326(f85(a1,a914),f326(f103(a1),f326(f326(f79(a1),x45761),a97))),f326(f326(f20(a1,a914,a914),f326(f326(f9(a1,a914,f922(a914,a914)),f326(f326(f10(a910,f922(a914,f922(a914,a914)),a1),f96(a914)),a193)),f2(a914))),f326(f326(f10(a914,a914,a1),a112),f326(f326(f9(a1,a914,a914),f326(f326(f10(a914,f922(a914,a914),a1),f232(a914)),a104)),x45762)))),f326(f326(f232(a914),f326(f103(a914),x45761)),f326(a112,x45762)))
% 178.46/178.24 [4577]E(f326(f326(f85(a1,a914),f326(f103(a1),f326(f326(f79(a1),x45771),a97))),f326(f326(f20(a1,a914,a914),f326(f326(f9(a1,a914,f922(a914,a914)),f326(f326(f10(a910,f922(a914,f922(a914,a914)),a1),f96(a914)),a193)),f326(a112,x45772))),f326(f326(f10(a914,a914,a1),a112),f326(f326(f9(a1,a914,a914),f326(f326(f10(a914,f922(a914,a914),a1),f233(a914)),a104)),x45772)))),f326(f326(f233(a914),f326(f103(a914),x45771)),f326(a112,x45772)))
% 178.46/178.24 [4565]E(f326(f256(x45651,x45651,a910),f326(f326(f20(x45651,a910,f922(x45651,a910)),f326(f326(f10(f922(x45651,f922(a910,a910)),f922(a910,f922(x45651,a910)),x45651),f9(x45651,a910,a910)),f326(f326(f10(f922(x45651,a910),f922(x45651,f922(a910,a910)),x45651),f326(f10(a910,f922(a910,a910),x45651),a325)),a323))),x45652)),f262(x45651,x45652))
% 178.46/178.24 [4610]E(f326(f326(f36(a914),x46101),f326(f326(f79(a914),f326(f103(a914),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),x46102)),f326(f326(f36(a914),x46101),f326(a112,f326(a112,f326(a112,x46102)))))
% 178.46/178.24 [4611]E(f45(a914,x46111,f326(f326(f79(a914),f326(f103(a914),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),x46112)),f45(a914,x46111,f326(a112,f326(a112,f326(a112,x46112)))))
% 178.46/178.24 [4612]E(f45(a914,f326(f326(f79(a914),f326(f103(a914),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),x46121),x46122),f45(a914,f326(a112,f326(a112,f326(a112,x46121))),x46122))
% 178.46/178.24 [4624]E(f123(f326(x46241,f326(f326(f80(a99),f326(f103(a99),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),x46242))),f326(f200(x46241),x46242))
% 178.46/178.24 [4625]E(f326(f326(f36(a914),f326(f326(f79(a914),f326(f103(a914),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),x46251)),x46252),f326(f326(f36(a914),f326(a112,f326(a112,f326(a112,x46251)))),x46252))
% 178.46/178.24 [4683]~E(f27(x46831,x46832,x46833),a25)
% 178.46/178.24 [4684]~E(f26(x46841,x46842,x46843),a25)
% 178.46/178.24 [4688]~E(f126(x46881,x46882,x46883),f119(x46881))
% 178.46/178.24 [3418]E(f326(f192(x34181,x34182),x34183),f121(x34181,x34182))
% 178.46/178.24 [3437]E(f326(f199(x34371,x34372),x34373),f326(f129(x34371),x34372))
% 178.46/178.24 [3513]E(f326(f326(f154(x35131,x35132),x35133),f113(x35131)),f113(x35132))
% 178.46/178.24 [3553]E(f326(f184(x35531,x35532,x35533),f2(a914)),x35532)
% 178.46/178.24 [3555]E(f326(f326(f181(x35551,x35552),x35553),f113(x35552)),f113(f921(x35551,x35552)))
% 178.46/178.24 [3570]E(f326(f189(f915(x35701)),f169(x35701,x35702,x35703)),x35702)
% 178.46/178.24 [3589]E(f84(x35891,f62(x35891,x35892,x35893)),f326(f63(x35891,x35892),x35893))
% 178.46/178.24 [3593]E(f242(x35931,x35932,f242(x35932,x35931,x35933)),x35933)
% 178.46/178.24 [3613]E(f326(f168(x36131),f169(x36131,x36132,x36133)),f169(x36131,x36132,x36133))
% 178.46/178.24 [3640]E(f140(x36401,x36402,f152(x36401,x36403)),f152(x36401,f140(x36401,x36402,x36403)))
% 178.46/178.24 [3659]E(f326(f250(f915(x36591),f915(x36591)),f166(x36591,x36592,x36593)),f326(f136(x36591,x36592),x36593))
% 178.46/178.24 [3702]E(f326(f326(f151(x37021),x37022),f169(x37021,x37023,x37022)),f169(x37021,f326(a112,x37023),x37022))
% 178.46/178.24 [3734]E(f19(x37341,x37342,x37343,f2(a99)),x37342)
% 178.46/178.24 [3735]E(f21(x37351,x37352,x37353,f2(a99)),x37352)
% 178.46/178.24 [3736]E(f185(x37361,x37362,x37363,f2(a914)),x37362)
% 178.46/178.24 [3743]E(f163(x37431,x37432,x37433,f113(x37431)),f113(x37432))
% 178.46/178.24 [3744]E(f130(x37441,x37442,x37443,f119(x37441)),f119(x37442))
% 178.46/178.24 [3750]E(f326(f326(f164(x37501),f326(f326(f151(x37501),x37502),x37503)),f2(a914)),x37502)
% 178.46/178.24 [3780]E(f59(x37801,x37802,f113(x37801),x37803),f113(f921(x37801,x37802)))
% 178.46/178.24 [3801]P24(x38011,x38012,x38013,f188(f922(x38011,a910)))
% 178.46/178.24 [3903]E(f264(x39031,x39032,x39033),f326(f251(f922(a99,f922(a910,f918(f916(x39031)))),f921(a99,a99)),f41(x39031)))
% 178.46/178.24 [3961]E(f326(f72(x39611,x39612,x39611,x39613),f31(x39611)),x39613)
% 178.46/178.24 [4140]P106(f326(f326(f328(f921(x41401,x41401)),f326(f326(f251(x41401,x41401),x41402),x41402)),f306(x41401,x41403)))
% 178.46/178.24 [4741]~P106(f326(f326(f328(f921(f915(x47411),f915(x47411))),f326(f326(f251(f915(x47411),f915(x47411)),x47412),f113(x47411))),f145(x47411,x47413)))
% 178.46/178.24 [4742]~P106(f326(f326(f328(f921(f915(x47421),f915(x47421))),f326(f326(f251(f915(x47421),f915(x47421)),x47422),f113(x47421))),f147(x47421,x47423)))
% 178.46/178.24 [4743]~P106(f326(f326(f328(f921(f915(x47431),f915(x47431))),f326(f326(f251(f915(x47431),f915(x47431)),x47432),f113(x47431))),f157(x47431,x47433)))
% 178.46/178.24 [4744]~P106(f326(f326(f328(f921(f915(x47441),f915(x47441))),f326(f326(f251(f915(x47441),f915(x47441)),f113(x47441)),x47442)),f145(x47441,x47443)))
% 178.46/178.24 [4745]~P106(f326(f326(f328(f921(f915(x47451),f915(x47451))),f326(f326(f251(f915(x47451),f915(x47451)),f113(x47451)),x47452)),f157(x47451,x47453)))
% 178.46/178.24 [3488]E(f326(f326(f201(x34881),x34882),x34883),f202(x34881,f215(x34882,x34883)))
% 178.46/178.24 [3542]E(f326(f285(x35421,x35422),f326(f285(x35422,x35421),x35423)),x35423)
% 178.46/178.24 [3565]E(f326(f326(f181(x35651,x35652),f113(x35651)),x35653),f113(f921(x35651,x35652)))
% 178.46/178.24 [3568]E(f176(x35681,x35682,f326(f281(a914),x35683)),f326(f326(f175(x35681),x35683),x35682))
% 178.46/178.24 [3586]E(f152(x35861,f326(f136(x35861,x35862),x35863)),f326(f136(x35861,x35862),f152(x35861,x35863)))
% 178.46/178.24 [3587]E(f326(f283(x35871,x35872),f326(f285(x35872,x35871),x35873)),f326(f263(x35872,x35871),x35873))
% 178.46/178.24 [3588]E(f326(f263(x35881,x35882),f326(f285(x35882,x35881),x35883)),f326(f283(x35882,x35881),x35883))
% 178.46/178.24 [3606]E(f326(f136(x36061,x36062),f326(f168(x36061),x36063)),f326(f168(x36061),f326(f136(x36061,x36062),x36063)))
% 178.46/178.24 [3619]E(f326(f326(f138(x36191),x36192),f326(f171(x36191),x36193)),f326(f326(f138(x36191),f326(a112,x36192)),x36193))
% 178.46/178.24 [3635]E(f28(f26(x36351,x36352,x36353)),f326(f326(f79(a914),f28(x36353)),f326(a112,f2(a914))))
% 178.46/178.24 [3636]E(f326(f309(x36361,x36362,x36363),f188(f922(x36361,a910))),f188(f922(x36362,a910)))
% 178.46/178.24 [3637]E(f326(f284(x36371,x36372,x36373),f188(f922(x36371,a910))),f188(f922(x36372,a910)))
% 178.46/178.24 [3638]E(f326(f310(x36381,x36382,x36383),f188(f922(x36382,a910))),f188(f922(x36381,a910)))
% 178.46/178.24 [3639]E(f326(f310(x36391,x36392,x36393),f241(f922(x36392,a910))),f241(f922(x36391,a910)))
% 178.46/178.24 [3665]E(f120(x36651,f126(f916(x36651),x36652,x36653)),f116(x36651,x36652,f120(x36651,x36653)))
% 178.46/178.24 [3667]E(f326(f326(f308(x36671),x36672),f326(f172(x36671),x36673)),f326(f172(x36671),f140(x36671,x36672,x36673)))
% 178.46/178.24 [3754]E(f326(f189(a911),f26(x37541,x37542,x37543)),f326(f326(f79(a914),f326(f189(a911),x37543)),f326(a112,f2(a914))))
% 178.46/178.24 [3755]E(f326(f309(f921(x37551,x37552),x37552,f255(x37551,x37552)),x37553),f326(f283(x37551,x37552),x37553))
% 178.46/178.24 [3756]E(f326(f309(f921(x37561,x37562),x37561,f250(x37561,x37562)),x37563),f326(f263(x37561,x37562),x37563))
% 178.46/178.24 [3772]E(f326(f172(x37721),f169(x37721,f326(a112,x37722),x37723)),f326(f326(f308(x37721),x37723),f188(f922(x37721,a910))))
% 178.46/178.24 [3830]E(f326(f326(f251(x38301,x38302),f326(f250(x38301,x38302),x38303)),f326(f255(x38301,x38302),x38303)),x38303)
% 178.46/178.24 [3837]E(f326(f189(f916(x38371)),f126(x38371,x38372,x38373)),f326(f326(f79(a914),f326(f189(f916(x38371)),x38373)),f326(a112,f2(a914))))
% 178.46/178.24 [3838]E(f326(f326(f256(x38381,x38382,x38381),f18(x38381,x38382)),x38383),f326(f250(x38381,x38382),x38383))
% 178.46/178.24 [3916]E(f28(f27(x39161,x39162,x39163)),f326(f326(f79(a914),f326(f326(f79(a914),f28(x39162)),f28(x39163))),f326(a112,f2(a914))))
% 178.46/178.24 [3966]E(f326(f72(x39661,x39661,x39662,f31(x39661)),x39663),x39663)
% 178.46/178.24 [3973]E(f326(f326(f134(x39731),f169(x39731,x39732,x39733)),f326(f326(f151(x39731),x39733),f113(x39731))),f326(f326(f151(x39731),x39733),f169(x39731,x39732,x39733)))
% 178.46/178.24 [4075]E(f326(f189(a911),f27(x40751,x40752,x40753)),f326(f326(f79(a914),f326(f326(f79(a914),f326(f189(a911),x40752)),f326(f189(a911),x40753))),f326(a112,f2(a914))))
% 178.46/178.24 [4149]P106(f326(f326(f234(f922(x41491,a910)),f326(f172(x41491),f326(f136(x41491,x41492),x41493))),f326(f172(x41491),x41493)))
% 178.46/178.24 [4193]P106(f326(f326(f234(f922(x41931,a910)),f326(f172(x41931),f326(f326(f175(x41931),x41932),x41933))),f326(f172(x41931),x41933)))
% 178.46/178.24 [4194]P106(f326(f326(f234(f922(x41941,a910)),f326(f172(x41941),f326(f326(f138(x41941),x41942),x41943))),f326(f172(x41941),x41943)))
% 178.46/178.24 [4198]P106(f326(f326(f234(f922(x41981,a910)),f326(f172(x41981),f176(x41981,x41982,x41983))),f326(f172(x41981),x41982)))
% 178.46/178.24 [4199]P106(f326(f326(f234(f922(x41991,a910)),f326(f172(x41991),f170(x41991,x41992,x41993))),f326(f172(x41991),x41993)))
% 178.46/178.24 [4220]P24(f921(x42201,x42202),f921(x42202,x42201),f326(f256(x42201,x42202,f921(x42202,x42201)),f326(f9(x42202,x42201,f921(x42202,x42201)),f251(x42202,x42201))),x42203)
% 178.46/178.24 [4231]E(f326(f326(f326(f183(f915(x42311),f915(x42311)),f45(a914,x42312,f326(f189(f915(x42311)),x42313))),f167(x42311)),x42313),f326(f326(f326(f183(f915(x42311),f915(x42311)),x42312),f167(x42311)),x42313))
% 178.46/178.24 [4275]P106(f326(f326(f328(f921(f915(x42751),f915(x42751))),f326(f326(f251(f915(x42751),f915(x42751)),x42752),x42752)),f158(x42751,f306(x42751,x42753))))
% 178.46/178.24 [4415]E(f84(f921(x44151,x44152),f326(f326(f20(f921(x44151,x44152),x44152,a910),f326(f326(f10(x44151,f922(x44152,a910),f921(x44151,x44152)),x44153),f250(x44151,x44152))),f255(x44151,x44152))),f84(f921(x44151,x44152),f326(f256(x44151,x44152,a910),x44153)))
% 178.46/178.24 [4416]E(f89(f921(x44161,x44162),f326(f326(f20(f921(x44161,x44162),x44162,a910),f326(f326(f10(x44161,f922(x44162,a910),f921(x44161,x44162)),x44163),f250(x44161,x44162))),f255(x44161,x44162))),f89(f921(x44161,x44162),f326(f256(x44161,x44162,a910),x44163)))
% 178.46/178.24 [4449]E(f326(f326(f287(f921(a914,x44491),x44491),f319(a914,x44491,a239,x44492)),f326(f326(f20(x44491,x44491,f921(a914,x44491)),f326(f326(f10(a914,f922(x44491,f921(a914,x44491)),x44491),f251(a914,x44491)),x44493)),f7(x44491))),f320(x44491,x44493,x44492))
% 178.46/178.24 [4512]E(f326(f257(x45121,x45121,x45122,x45122,f7(x45121),f7(x45122)),x45123),x45123)
% 178.46/178.24 [4585]E(f326(f142(f915(f915(x45851)),f915(f915(x45851)),f134(f915(x45851)),f113(f915(x45851))),f326(f326(f154(f915(x45851),f915(f915(x45851))),f326(f326(f9(f915(x45851),f915(x45851),f915(f915(x45851))),f326(f326(f10(f922(x45851,f915(x45851)),f922(f915(x45851),f915(f915(x45851))),f915(x45851)),f154(x45851,f915(x45851))),f326(f9(x45851,f915(x45851),f915(x45851)),f151(x45851)))),x45852)),f55(x45851,x45853,x45852))),f55(x45851,f326(a112,x45853),x45852))
% 178.46/178.24 [4641]E(f223(a914,f921(x46411,f916(x46411)),f2(a914),f326(f256(x46411,f916(x46411),a914),f326(f326(f9(x46411,a914,f922(f916(x46411),a914)),f326(f326(f10(f922(f916(x46411),f922(a914,a914)),f922(a914,f922(f916(x46411),a914)),x46411),f9(f916(x46411),a914,a914)),f326(f326(f10(f922(f916(x46411),a914),f922(f916(x46411),f922(a914,a914)),x46411),f326(f10(a914,f922(a914,a914),f916(x46411)),f79(a914))),f326(f326(f9(x46411,f922(f916(x46411),a914),f922(f916(x46411),a914)),f326(f326(f10(f922(a914,a914),f922(f922(f916(x46411),a914),f922(f916(x46411),a914)),x46411),f10(a914,a914,f916(x46411))),f326(f326(f10(a914,f922(a914,a914),x46411),f79(a914)),x46412))),f125(x46411,x46412))))),f77(a914))),f326(f135(x46411),x46413)),f326(f125(x46411,x46412),x46413))
% 178.46/178.24 [4650]E(f326(f326(f85(a1,x46501),f218(f326(f326(f72(f921(a1,a1),a1,x46501,f255(a1,a1)),f212(x46501)),x46502),f326(f326(f72(f921(a1,a1),a1,x46501,f255(a1,a1)),f212(x46501)),x46503))),f326(f326(f20(a1,a1,x46501),f326(f326(f10(a1,f922(a1,x46501),a1),f201(x46501)),f326(f326(f20(a1,a1,a1),f326(f326(f10(a1,f922(a1,a1),a1),f79(a1)),f326(f326(f10(a1,a1,a1),f326(f80(a1),f326(f326(f72(f921(a1,a1),a1,x46501,f250(a1,a1)),f212(x46501)),x46502))),f326(f326(f9(a1,a1,a1),f36(a1)),f326(f326(f72(f921(a1,a1),a1,x46501,f255(a1,a1)),f212(x46501)),x46502))))),f326(f326(f10(a1,a1,a1),f326(f80(a1),f326(f326(f72(f921(a1,a1),a1,x46501,f250(a1,a1)),f212(x46501)),x46503))),f326(f326(f9(a1,a1,a1),f36(a1)),f326(f326(f72(f921(a1,a1),a1,x46501,f255(a1,a1)),f212(x46501)),x46503)))))),f7(a1))),f230(x46501,x46502,x46503))
% 178.46/178.24 [4679]~E(f326(f326(f151(x46791),x46792),x46793),x46793)
% 178.46/178.24 [4686]~E(f326(f326(f151(x46861),x46862),x46863),f113(x46861))
% 178.46/178.24 [4700]~E(f326(f326(f308(x47001),x47002),x47003),f188(f922(x47001,a910)))
% 178.46/178.24 [4722]~E(f326(f309(x47221,f922(x47221,a910),x47222),x47223),f326(f307(x47221),x47223))
% 178.46/178.24 [3547]E(f326(f326(f159(x35471,f113(x35471)),x35472),x35473),f113(x35471))
% 178.46/178.24 [3548]E(f326(f141(x35481),f326(f326(f151(x35481),x35482),x35483)),x35482)
% 178.46/178.24 [3549]E(f326(f171(x35491),f326(f326(f151(x35491),x35492),x35493)),x35493)
% 178.46/178.24 [3592]E(f326(f326(f138(x35921),f77(a914)),f326(f326(f151(x35921),x35922),x35923)),x35923)
% 178.46/178.24 [3626]E(f114(x36261,f326(f326(f138(x36261),x36262),x36263)),f326(f326(f138(x36261),x36262),f114(x36261,x36263)))
% 178.46/178.24 [3628]E(f326(f326(f159(x36281,x36282),x36283),f326(f326(f164(x36281),x36282),x36283)),x36282)
% 178.46/178.24 [3649]E(f326(f326(f308(x36491),x36492),f326(f326(f308(x36491),x36492),x36493)),f326(f326(f308(x36491),x36492),x36493))
% 178.46/178.24 [3662]E(f326(f326(f308(x36621),x36622),f326(f172(x36621),x36623)),f326(f172(x36621),f326(f326(f151(x36621),x36622),x36623)))
% 178.46/178.24 [3664]E(f326(f326(f138(x36641),x36642),f326(f171(x36641),x36643)),f326(f171(x36641),f326(f326(f138(x36641),x36642),x36643)))
% 178.46/178.24 [3676]E(f326(f326(f175(x36761),f77(a914)),f326(f326(f151(x36761),x36762),x36763)),f326(f326(f151(x36761),x36762),f113(x36761)))
% 178.46/178.24 [3719]E(f326(f63(x37191,x37192),f326(f326(f308(x37191),x37193),f188(f922(x37191,a910)))),x37193)
% 178.46/178.24 [3762]E(f326(f326(f79(a914),x37621),f326(f326(f79(a914),x37622),x37623)),f326(f326(f79(a914),x37622),f326(f326(f79(a914),x37621),x37623)))
% 178.46/178.24 [3763]E(f326(f326(f79(a1),x37631),f326(f326(f79(a1),x37632),x37633)),f326(f326(f79(a1),x37632),f326(f326(f79(a1),x37631),x37633)))
% 178.46/178.24 [3768]E(f326(f326(f253(x37681,x37682),f188(f922(x37681,a910))),x37683),f188(f922(f921(x37681,x37682),a910)))
% 178.46/178.24 [3793]E(f326(f326(f110(f922(x37931,a910)),x37932),x37933),f326(f326(f110(f922(x37931,a910)),x37933),x37932))
% 178.46/178.24 [3794]E(f326(f326(f101(f922(x37941,a910)),x37942),x37943),f326(f326(f101(f922(x37941,a910)),x37943),x37942))
% 178.46/178.24 [3796]E(f326(f326(f134(x37961),x37962),f326(f326(f151(x37961),x37963),f113(x37961))),f326(f167(x37961),f326(f326(f151(x37961),x37963),x37962)))
% 178.46/178.24 [3797]E(f326(f326(f134(x37971),f326(f168(x37971),x37972)),f326(f168(x37971),x37973)),f326(f168(x37971),f326(f326(f134(x37971),x37973),x37972)))
% 178.46/178.24 [3807]E(f326(f171(x38071),f326(f326(f175(x38071),f326(a112,x38072)),x38073)),f326(f326(f175(x38071),x38072),f326(f171(x38071),x38073)))
% 178.46/178.24 [3815]P106(f326(f326(f328(x38151),x38152),f326(f326(f308(x38151),x38152),x38153)))
% 178.46/178.24 [3819]E(f326(f326(f39(x38191,f922(x38192,a910)),f188(f922(x38191,a910))),x38193),f241(f922(x38192,a910)))
% 178.46/178.24 [3822]E(f326(f284(x38221,x38221,f262(x38221,x38222)),x38223),f326(f326(f101(f922(x38221,a910)),x38222),x38223))
% 178.46/178.24 [3836]E(f326(f189(f915(x38361)),f326(f326(f151(x38361),x38362),x38363)),f326(f326(f79(a914),f326(f189(f915(x38361)),x38363)),f326(a112,f2(a914))))
% 178.46/178.24 [3840]E(f114(x38401,f326(f326(f134(x38401),x38402),f326(f326(f151(x38401),x38403),f113(x38401)))),x38402)
% 178.46/178.24 [3841]E(f144(x38411,f326(f326(f134(x38411),x38412),f326(f326(f151(x38411),x38413),f113(x38411)))),x38413)
% 178.46/178.24 [3850]E(f326(f326(f134(x38501),f326(f326(f175(x38501),x38502),x38503)),f326(f326(f138(x38501),x38502),x38503)),x38503)
% 178.46/178.24 [3859]E(f326(f326(f3(a914),f326(f326(f79(a914),x38591),x38592)),f326(f326(f79(a914),x38593),x38592)),f326(f326(f3(a914),x38591),x38593))
% 178.46/178.24 [3860]E(f326(f326(f3(a914),f326(f326(f79(a914),x38601),x38602)),f326(f326(f79(a914),x38601),x38603)),f326(f326(f3(a914),x38602),x38603))
% 178.46/178.24 [3866]E(f326(f326(f134(x38661),f326(f168(x38661),x38662)),f326(f326(f151(x38661),x38663),f113(x38661))),f326(f168(x38661),f326(f326(f151(x38661),x38663),x38662)))
% 178.46/178.24 [3868]E(f326(f326(f79(a914),f326(f189(f915(x38681)),x38682)),f326(f189(f915(x38681)),x38683)),f326(f189(f915(x38681)),f326(f326(f134(x38681),x38682),x38683)))
% 178.46/178.24 [3871]E(f326(f326(f79(a914),f326(f189(f915(x38711)),x38712)),f326(f189(f915(x38711)),x38713)),f326(f189(f915(x38711)),f173(x38711,x38712,x38713)))
% 178.46/178.24 [3878]E(f326(f326(f110(f922(x38781,a910)),f326(f172(x38781),x38782)),f326(f172(x38781),x38783)),f326(f172(x38781),f326(f326(f134(x38781),x38782),x38783)))
% 178.46/178.24 [3879]E(f45(a914,f326(f326(f80(a914),x38791),x38792),f326(f326(f80(a914),x38791),x38793)),f326(f326(f80(a914),x38791),f45(a914,x38792,x38793)))
% 178.46/178.24 [3891]E(f326(f326(f175(x38911),f326(f326(f3(a914),x38912),f77(a914))),f326(f171(x38911),x38913)),f326(f171(x38911),f326(f326(f175(x38911),x38912),x38913)))
% 178.46/178.24 [3896]E(f326(f326(f101(f922(x38961,a910)),x38962),f326(f78(f922(x38961,a910)),x38963)),f326(f326(f3(f922(x38961,a910)),x38962),x38963))
% 178.46/178.24 [3897]E(f326(f326(f3(f922(x38971,a910)),x38972),f326(f78(f922(x38971,a910)),x38973)),f326(f326(f101(f922(x38971,a910)),x38972),x38973))
% 178.46/178.24 [3920]E(f326(f326(f253(x39201,x39202),x39203),f326(f18(f922(x39202,a910),x39201),f188(f922(x39202,a910)))),f188(f922(f921(x39201,x39202),a910)))
% 178.46/178.24 [3922]E(f326(f326(f3(a914),f326(f326(f80(a914),x39221),x39222)),f326(f326(f80(a914),x39221),x39223)),f326(f326(f80(a914),x39221),f326(f326(f3(a914),x39222),x39223)))
% 178.46/178.24 [3923]E(f326(f326(f79(a914),f326(f326(f80(a914),x39231),x39232)),f326(f326(f80(a914),x39231),x39233)),f326(f326(f80(a914),x39231),f326(f326(f79(a914),x39232),x39233)))
% 178.46/178.24 [3924]E(f326(f326(f3(a1),f326(f326(f80(a1),x39241),x39242)),f326(f326(f80(a1),x39241),x39243)),f326(f326(f80(a1),x39241),f326(f326(f3(a1),x39242),x39243)))
% 178.46/178.24 [3925]E(f326(f326(f79(a1),f326(f326(f80(a1),x39251),x39252)),f326(f326(f80(a1),x39251),x39253)),f326(f326(f80(a1),x39251),f326(f326(f79(a1),x39252),x39253)))
% 178.46/178.24 [3926]E(f326(f326(f80(a1),f326(f326(f243(a1),x39261),x39262)),f326(f326(f243(a1),x39261),x39263)),f326(f326(f243(a1),x39261),f326(f326(f79(a914),x39262),x39263)))
% 178.46/178.24 [3940]E(f326(f326(f40(x39401,f922(x39402,a910)),x39403),f326(f18(f922(x39402,a910),x39401),f188(f922(x39402,a910)))),f188(f922(x39402,a910)))
% 178.46/178.24 [3942]E(f45(a914,f326(f326(f80(a914),x39421),x39422),f326(f326(f80(a914),x39423),x39422)),f326(f326(f80(a914),f45(a914,x39421,x39423)),x39422))
% 178.46/178.24 [3947]E(f45(a1,f326(f326(f3(a1),x39471),f45(a1,x39472,x39473)),x39473),f45(a1,f326(f326(f3(a1),x39471),x39472),x39473))
% 178.46/178.24 [3948]E(f45(a1,f326(f326(f80(a1),x39481),f45(a1,x39482,x39483)),x39483),f45(a1,f326(f326(f80(a1),x39481),x39482),x39483))
% 178.46/178.24 [3949]P106(f326(f326(f234(f922(x39491,a910)),x39492),f326(f326(f308(x39491),x39493),x39492)))
% 178.46/178.24 [4026]E(f326(f326(f39(f922(x40261,a910),f922(x40261,a910)),x40262),f326(f110(f922(x40261,a910)),x40263)),f326(f326(f110(f922(x40261,a910)),x40263),f38(f922(x40261,a910),x40262)))
% 178.46/178.24 [4027]E(f326(f326(f40(f922(x40271,a910),f922(x40271,a910)),x40272),f326(f101(f922(x40271,a910)),x40273)),f326(f326(f101(f922(x40271,a910)),x40273),f37(f922(x40271,a910),x40272)))
% 178.46/178.24 [4039]E(f326(f172(x40391),f326(f326(f326(f183(f915(x40391),f915(x40391)),x40392),f167(x40391)),x40393)),f326(f172(x40391),x40393))
% 178.46/178.24 [4043]E(f326(f326(f175(x40431),f326(f189(f915(x40431)),f177(x40431,x40432,x40433))),x40433),f177(x40431,x40432,x40433))
% 178.46/178.24 [4047]E(f326(f189(f915(x40471)),f326(f326(f326(f183(f915(x40471),f915(x40471)),x40472),f167(x40471)),x40473)),f326(f189(f915(x40471)),x40473))
% 178.46/178.24 [4050]E(f326(f326(f256(x40501,x40502,x40502),f326(f18(f922(x40502,x40502),x40501),f7(x40502))),x40503),f326(f255(x40501,x40502),x40503))
% 178.46/178.24 [4057]E(f45(a1,f326(f326(f3(a1),f45(a1,x40571,x40572)),x40573),x40572),f45(a1,f326(f326(f3(a1),x40571),x40573),x40572))
% 178.46/178.24 [4058]E(f45(a1,f326(f326(f243(a1),f45(a1,x40581,x40582)),x40583),x40582),f45(a1,f326(f326(f243(a1),x40581),x40583),x40582))
% 178.46/178.24 [4061]E(f326(f326(f40(f922(f921(x40611,x40612),a910),f922(x40612,a910)),x40613),f283(x40611,x40612)),f326(f283(x40611,x40612),f37(f922(f921(x40611,x40612),a910),x40613)))
% 178.46/178.24 [4062]E(f326(f326(f40(f922(f921(x40621,x40622),a910),f922(x40621,a910)),x40623),f263(x40621,x40622)),f326(f263(x40621,x40622),f37(f922(f921(x40621,x40622),a910),x40623)))
% 178.46/178.24 [4086]E(f326(f72(x40861,x40861,x40861,x40862),f326(f326(f183(x40861,x40861),x40863),x40862)),f326(f326(f183(x40861,x40861),f326(a112,x40863)),x40862))
% 178.46/178.24 [4104]E(f326(f326(f138(x41041),f326(f326(f3(a914),f326(f189(f915(x41041)),x41042)),x41043)),f326(f168(x41041),x41042)),f326(f168(x41041),f326(f326(f175(x41041),x41043),x41042)))
% 178.46/178.24 [4105]E(f326(f326(f175(x41051),f326(f326(f3(a914),f326(f189(f915(x41051)),x41052)),x41053)),f326(f168(x41051),x41052)),f326(f168(x41051),f326(f326(f138(x41051),x41053),x41052)))
% 178.46/178.24 [4107]E(f326(f326(f79(a914),f326(f165(a914),f326(f326(f154(x41071,a914),x41072),x41073))),f326(f189(f915(x41071)),x41073)),f155(x41071,x41072,x41073))
% 178.46/178.24 [4127]E(f326(f167(x41271),f326(f326(f326(f183(f915(x41271),f915(x41271)),x41272),f167(x41271)),x41273)),f326(f326(f326(f183(f915(x41271),f915(x41271)),f326(a112,x41272)),f167(x41271)),x41273))
% 178.46/178.24 [4141]P106(f326(f326(f234(a914),f326(f189(f915(x41411)),f326(f136(x41411,x41412),x41413))),f326(f189(f915(x41411)),x41413)))
% 178.46/178.24 [4157]E(f326(f326(f110(f922(f922(x41571,a910),a910)),f326(f307(x41571),x41572)),f326(f309(f922(x41571,a910),f922(x41571,a910),f326(f308(x41571),x41573)),f326(f307(x41571),x41572))),f326(f307(x41571),f326(f326(f308(x41571),x41573),x41572)))
% 178.46/178.24 [4176]P23(x41761,x41762,f326(f326(f308(f913(x41761)),f326(f326(f326(f90(x41761),x41763),a25),x41763)),f188(f922(f913(x41761),a910))))
% 178.46/178.24 [4190]P106(f326(f326(f234(a914),f326(f189(f915(x41901)),f177(x41901,x41902,x41903))),f326(f189(f915(x41901)),x41903)))
% 178.46/178.24 [4197]E(f326(f263(x41971,x41972),f326(f261(f921(x41971,x41972)),f326(f256(x41971,x41972,a910),x41973))),f326(f261(x41971),f326(f326(f10(f922(x41972,a910),a910,x41971),f86(x41972)),x41973)))
% 178.46/178.24 [4209]E(f326(f309(a914,a914,f326(f326(f9(a914,a914,a914),f79(a914)),x42091)),f302(a914,x42092,x42093)),f302(a914,f326(f326(f79(a914),x42092),x42091),f326(f326(f79(a914),x42093),x42091)))
% 178.46/178.24 [4223]E(f326(f309(a914,a914,f326(f326(f9(a914,a914,a914),f79(a914)),x42231)),f326(f301(a914,x42232),x42233)),f326(f301(a914,f326(f326(f79(a914),x42232),x42231)),f326(f326(f79(a914),x42233),x42231)))
% 178.46/178.24 [4241]E(f326(f326(f181(x42411,x42412),f326(f326(f154(f921(x42411,x42412),x42411),f250(x42411,x42412)),x42413)),f326(f326(f154(f921(x42411,x42412),x42412),f255(x42411,x42412)),x42413)),x42413)
% 178.46/178.24 [4246]E(f326(f326(f79(a914),f326(f326(f80(a914),x42461),f45(a914,f326(f326(f36(a914),x42462),x42461),x42463))),f45(a914,x42462,x42461)),f45(a914,x42462,f326(f326(f80(a914),x42461),x42463)))
% 178.46/178.24 [4259]E(f326(f326(f134(x42591),x42592),f326(f142(f915(x42591),f915(x42591),f134(x42591),f113(x42591)),x42593)),f326(f142(f915(x42591),f915(x42591),f134(x42591),x42592),x42593))
% 178.46/178.24 [4280]P106(f326(f326(f328(f921(x42801,x42801)),f326(f326(f251(x42801,x42801),x42802),x42802)),f326(f326(f183(f921(x42801,x42801),a910),f2(a914)),x42803)))
% 178.46/178.24 [4285]E(f326(f261(x42851),f326(f326(f10(f922(x42852,a910),a910,x42851),f86(x42852)),f326(f9(x42852,x42851,a910),x42853))),f326(f283(x42852,x42851),f326(f261(f921(x42852,x42851)),f326(f256(x42852,x42851,a910),x42853))))
% 178.46/178.24 [4302]E(f326(f326(f110(f922(x43021,a910)),f326(f326(f40(a914,f922(x43021,a910)),f302(a914,f77(a914),x43022)),x43023)),f326(x43023,f2(a914))),f326(f326(f40(a914,f922(x43021,a910)),f326(f300(a914),x43022)),x43023))
% 178.46/178.24 [4317]E(f326(f142(f915(x43171),f915(x43171),f134(x43171),f113(x43171)),f326(f326(f154(f915(x43171),f915(x43171)),f136(x43171,x43172)),x43173)),f326(f136(x43171,x43172),f326(f142(f915(x43171),f915(x43171),f134(x43171),f113(x43171)),x43173)))
% 178.46/178.24 [4321]E(f326(f255(f915(x43211),f915(x43211)),f166(x43211,x43212,x43213)),f326(f136(x43211,f326(f72(a910,a910,x43211,a321),x43212)),x43213))
% 178.46/178.24 [4366]E(f326(f326(f79(a1),f326(f326(f79(a1),f326(f326(f80(a1),x43661),f326(f326(f36(a1),x43662),x43661))),f45(a1,x43662,x43661))),x43663),f326(f326(f79(a1),x43662),x43663))
% 178.46/178.24 [4404]E(f326(f326(f79(a1),f326(f326(f79(a1),f326(f326(f80(a1),f326(f326(f36(a1),x44041),x44042)),x44042)),f45(a1,x44041,x44042))),x44043),f326(f326(f79(a1),x44041),x44043))
% 178.46/178.24 [4430]E(f84(f921(x44301,x44302),f326(f256(x44301,x44302,a910),f326(f326(f10(f922(x44302,f921(x44301,x44302)),f922(x44302,a910),x44301),f326(f10(f921(x44301,x44302),a910,x44302),x44303)),f251(x44301,x44302)))),f84(f921(x44301,x44302),x44303))
% 178.46/178.24 [4431]E(f89(f921(x44311,x44312),f326(f256(x44311,x44312,a910),f326(f326(f10(f922(x44312,f921(x44311,x44312)),f922(x44312,a910),x44311),f326(f10(f921(x44311,x44312),a910,x44312),x44313)),f251(x44311,x44312)))),f89(f921(x44311,x44312),x44313))
% 178.46/178.24 [4458]P106(f326(f326(f234(f922(x44581,a910)),f37(f922(x44581,a910),f326(f326(f101(f922(f922(x44581,a910),a910)),x44582),x44583))),f326(f326(f101(f922(x44581,a910)),f37(f922(x44581,a910),x44582)),f37(f922(x44581,a910),x44583))))
% 178.46/178.24 [4459]E(f326(f168(x44591),f326(f326(f326(f183(f915(x44591),f915(x44591)),f326(f326(f3(a914),f326(f189(f915(x44591)),x44592)),f45(a914,x44593,f326(f189(f915(x44591)),x44592)))),f167(x44591)),x44592)),f326(f326(f326(f183(f915(x44591),f915(x44591)),x44593),f167(x44591)),f326(f168(x44591),x44592)))
% 178.46/178.24 [4496]P106(f326(f326(f234(a914),f326(f189(f915(x44961)),f326(f326(f138(x44961),f326(f189(f915(x44961)),f177(x44961,x44962,x44963))),x44963))),f326(f189(f915(x44961)),x44963)))
% 178.46/178.24 [4734]~P106(f326(f62(x47341,x47342,f188(f922(x47341,a910))),x47343))
% 178.46/178.24 [4740]~P106(f326(f326(f328(f921(x47401,x47401)),f326(f326(f251(x47401,x47401),x47402),x47403)),f153(x47401,f113(f922(x47401,a914)))))
% 178.46/178.24 [3808]E(f326(f189(f915(x38081)),f326(f326(f175(x38081),x38082),x38083)),f326(f326(f232(a914),f326(f189(f915(x38081)),x38083)),x38082))
% 178.46/178.24 [3809]E(f326(f189(f915(x38091)),f326(f326(f138(x38091),x38092),x38093)),f326(f326(f3(a914),f326(f189(f915(x38091)),x38093)),x38092))
% 178.46/178.24 [3835]E(f326(f189(f915(f915(x38351))),f55(x38351,x38352,x38353)),f326(f326(f243(a914),f326(f189(f915(x38351)),x38353)),x38352))
% 178.46/178.24 [3852]E(f326(f326(f36(a914),f326(f326(f36(a914),x38521),x38522)),x38523),f326(f326(f36(a914),x38521),f326(f326(f80(a914),x38522),x38523)))
% 178.46/178.24 [3853]E(f326(f326(f3(a914),f326(f326(f3(a914),x38531),x38532)),x38533),f326(f326(f3(a914),x38531),f326(f326(f79(a914),x38532),x38533)))
% 178.46/178.24 [3854]E(f326(f326(f80(a914),f326(f326(f80(a914),x38541),x38542)),x38543),f326(f326(f80(a914),x38541),f326(f326(f80(a914),x38542),x38543)))
% 178.46/178.24 [3855]E(f326(f326(f80(a1),f326(f326(f80(a1),x38551),x38552)),x38553),f326(f326(f80(a1),x38551),f326(f326(f80(a1),x38552),x38553)))
% 178.46/178.24 [3856]E(f326(f326(f79(a914),f326(f326(f79(a914),x38561),x38562)),x38563),f326(f326(f79(a914),x38561),f326(f326(f79(a914),x38562),x38563)))
% 178.46/178.24 [3857]E(f326(f326(f79(a1),f326(f326(f79(a1),x38571),x38572)),x38573),f326(f326(f79(a1),x38571),f326(f326(f79(a1),x38572),x38573)))
% 178.46/178.24 [3858]E(f326(f326(f243(a1),f326(f326(f243(a1),x38581),x38582)),x38583),f326(f326(f243(a1),x38581),f326(f326(f80(a914),x38582),x38583)))
% 178.46/178.24 [3877]E(f162(x38771,f326(f326(f151(f922(x38771,a910)),x38772),x38773)),f174(x38771,x38772,f162(x38771,x38773)))
% 178.46/178.24 [3921]E(f326(f326(f3(a914),f326(f326(f3(a914),x39211),x39212)),x39213),f326(f326(f3(a914),f326(f326(f3(a914),x39211),x39213)),x39212))
% 178.46/178.24 [3929]E(f326(f326(f101(f922(x39291,a910)),x39292),f326(f326(f3(f922(x39291,a910)),x39293),x39292)),f188(f922(x39291,a910)))
% 178.46/178.24 [3933]E(f326(f326(f154(a914,x39331),f326(f18(x39331,a914),x39332)),f139(a914,f326(f301(a914,f2(a914)),x39333))),f169(x39331,x39333,x39332))
% 178.46/178.24 [3971]E(f37(f922(x39711,a910),f326(f326(f308(f922(x39711,a910)),x39712),x39713)),f326(f326(f110(f922(x39711,a910)),x39712),f37(f922(x39711,a910),x39713)))
% 178.46/178.24 [3972]E(f38(f922(x39721,a910),f326(f326(f308(f922(x39721,a910)),x39722),x39723)),f326(f326(f101(f922(x39721,a910)),x39722),f38(f922(x39721,a910),x39723)))
% 178.46/178.24 [3974]E(f169(x39741,f326(f189(f915(x39741)),f326(f136(x39741,f326(a323,x39742)),x39743)),x39742),f326(f136(x39741,f326(a323,x39742)),x39743))
% 178.46/178.24 [3976]E(f326(f326(f3(a914),f326(f326(f80(a914),x39761),x39762)),f326(f326(f80(a914),x39763),x39762)),f326(f326(f80(a914),f326(f326(f3(a914),x39761),x39763)),x39762))
% 178.46/178.24 [3977]E(f326(f326(f79(a914),f326(f326(f80(a914),x39771),x39772)),f326(f326(f80(a914),x39773),x39772)),f326(f326(f80(a914),f326(f326(f79(a914),x39771),x39773)),x39772))
% 178.46/178.24 [3978]E(f326(f326(f3(a1),f326(f326(f80(a1),x39781),x39782)),f326(f326(f80(a1),x39783),x39782)),f326(f326(f80(a1),f326(f326(f3(a1),x39781),x39783)),x39782))
% 178.46/178.24 [3979]E(f326(f326(f79(a1),f326(f326(f80(a1),x39791),x39792)),f326(f326(f80(a1),x39793),x39792)),f326(f326(f80(a1),f326(f326(f79(a1),x39791),x39793)),x39792))
% 178.46/178.24 [3981]E(f326(f326(f232(a914),f326(f326(f3(a914),x39811),x39812)),f326(f326(f3(a914),x39813),x39812)),f326(f326(f3(a914),f326(f326(f232(a914),x39811),x39813)),x39812))
% 178.46/178.24 [4003]E(f326(f326(f101(f922(f915(x40031),a910)),f160(x40031,x40032)),f160(x40031,x40033)),f160(x40031,f326(f326(f101(f922(x40031,a910)),x40032),x40033)))
% 178.46/178.24 [4006]E(f326(f326(f110(f922(x40061,a910)),x40062),f326(f326(f110(f922(x40061,a910)),x40062),x40063)),f326(f326(f110(f922(x40061,a910)),x40062),x40063))
% 178.46/178.24 [4007]E(f326(f326(f110(f922(x40071,a910)),x40072),f326(f326(f3(f922(x40071,a910)),x40073),x40072)),f326(f326(f110(f922(x40071,a910)),x40072),x40073))
% 178.46/178.24 [4008]E(f326(f326(f101(f922(x40081,a910)),x40082),f326(f326(f101(f922(x40081,a910)),x40082),x40083)),f326(f326(f101(f922(x40081,a910)),x40082),x40083))
% 178.46/178.24 [4020]E(f326(f326(f288(x40201,x40202,x40202),x40203),f306(x40202,f188(f922(f921(x40202,x40202),a910)))),x40203)
% 178.46/178.24 [4023]E(f326(f326(f110(f922(x40231,a910)),f326(f326(f308(x40231),x40232),f188(f922(x40231,a910)))),x40233),f326(f326(f308(x40231),x40232),x40233))
% 178.46/178.24 [4042]E(f326(f326(f3(a914),f326(f326(f3(a914),f326(a112,x40421)),x40422)),f326(a112,x40423)),f326(f326(f3(a914),f326(f326(f3(a914),x40421),x40422)),x40423))
% 178.46/178.24 [4070]E(f326(f326(f101(f922(f922(x40701,a910),a910)),f326(f307(x40701),x40702)),f326(f307(x40701),x40703)),f326(f307(x40701),f326(f326(f101(f922(x40701,a910)),x40702),x40703)))
% 178.46/178.24 [4073]E(f326(f326(f110(f922(x40731,a910)),f326(f78(f922(x40731,a910)),x40732)),x40733),f326(f78(f922(x40731,a910)),f326(f326(f3(f922(x40731,a910)),x40732),x40733)))
% 178.46/178.24 [4083]E(f326(f326(f308(x40831),x40832),f326(f326(f3(f922(x40831,a910)),x40833),f326(f326(f308(x40831),x40832),f188(f922(x40831,a910))))),f326(f326(f308(x40831),x40832),x40833))
% 178.46/178.24 [4093]P106(f326(f326(f234(f922(x40931,a910)),x40932),f326(f326(f110(f922(x40931,a910)),x40933),x40932)))
% 178.46/178.24 [4094]P106(f326(f326(f234(f922(x40941,a910)),x40942),f326(f326(f110(f922(x40941,a910)),x40942),x40943)))
% 178.46/178.24 [4098]E(f326(f326(f101(f922(x40981,a910)),f326(f78(f922(x40981,a910)),x40982)),f326(f78(f922(x40981,a910)),x40983)),f326(f78(f922(x40981,a910)),f326(f326(f110(f922(x40981,a910)),x40982),x40983)))
% 178.46/178.24 [4099]E(f326(f326(f110(f922(x40991,a910)),f326(f78(f922(x40991,a910)),x40992)),f326(f78(f922(x40991,a910)),x40993)),f326(f78(f922(x40991,a910)),f326(f326(f101(f922(x40991,a910)),x40992),x40993)))
% 178.46/178.24 [4113]P106(f326(f326(f234(f922(x41131,a910)),f326(f172(x41131),x41132)),f326(f172(x41131),f326(f326(f151(x41131),x41133),x41132))))
% 178.46/178.24 [4125]E(f326(f326(f110(f922(x41251,a910)),f326(f326(f3(f922(x41251,a910)),x41252),x41253)),f326(f326(f101(f922(x41251,a910)),x41252),x41253)),x41252)
% 178.46/178.24 [4177]E(f326(f326(f8(x41771,a1),f326(f326(f10(a914,a1,x41771),f100(a1)),x41772)),x41773),f326(f100(a1),f326(f326(f8(x41771,a914),x41772),x41773)))
% 178.46/178.24 [4178]E(f326(f326(f11(x41781,a1),f326(f326(f10(a914,a1,x41781),f100(a1)),x41782)),x41783),f326(f100(a1),f326(f326(f11(x41781,a914),x41782),x41783)))
% 178.46/178.24 [4225]E(f326(f326(f134(x42251),f177(x42251,x42252,x42253)),f326(f326(f138(x42251),f326(f189(f915(x42251)),f177(x42251,x42252,x42253))),x42253)),x42253)
% 178.46/178.24 [4229]E(f326(f78(f922(f921(x42291,x42292),a910)),f326(f326(f253(x42291,x42292),x42293),f326(f18(f922(x42292,a910),x42291),f241(f922(x42292,a910))))),f326(f326(f253(x42291,x42292),f326(f78(f922(x42291,a910)),x42293)),f326(f18(f922(x42292,a910),x42291),f241(f922(x42292,a910)))))
% 178.46/178.24 [4230]E(f326(f78(f922(f921(x42301,x42302),a910)),f326(f326(f253(x42301,x42302),f241(f922(x42301,a910))),f326(f18(f922(x42302,a910),x42301),x42303))),f326(f326(f253(x42301,x42302),f241(f922(x42301,a910))),f326(f18(f922(x42302,a910),x42301),f326(f78(f922(x42302,a910)),x42303))))
% 178.46/178.24 [4281]E(f326(f326(f40(f922(x42811,a910),f922(x42811,a910)),x42812),f326(f326(f9(f922(x42811,a910),f922(x42811,a910),f922(x42811,a910)),f101(f922(x42811,a910))),x42813)),f326(f326(f101(f922(x42811,a910)),f37(f922(x42811,a910),x42812)),x42813))
% 178.46/178.24 [4287]E(f326(f142(f915(x42871),f915(x42871),f134(x42871),f113(x42871)),f326(f326(f151(f915(x42871)),x42872),x42873)),f326(f326(f134(x42871),x42872),f326(f142(f915(x42871),f915(x42871),f134(x42871),f113(x42871)),x42873)))
% 178.46/178.24 [4308]E(f326(f326(f308(f922(x43081,a910)),f326(f284(x43081,x43081,x43082),f326(f326(f308(x43081),x43083),f188(f922(x43081,a910))))),f188(f922(f922(x43081,a910),a910))),f326(f326(f60(x43081),f326(f326(f308(x43081),x43083),f188(f922(x43081,a910)))),x43082))
% 178.46/178.24 [4318]E(f326(f326(f79(a914),f326(f326(f80(a914),x43181),f326(f326(f36(a914),x43182),x43183))),f326(f326(f36(a914),f326(f326(f80(a914),x43181),f45(a914,x43182,x43183))),x43183)),f326(f326(f36(a914),f326(f326(f80(a914),x43181),x43182)),x43183))
% 178.46/178.24 [4319]E(f326(f326(f79(a1),f326(f326(f80(a1),x43191),f326(f326(f36(a1),x43192),x43193))),f326(f326(f36(a1),f326(f326(f80(a1),x43191),f45(a1,x43192,x43193))),x43193)),f326(f326(f36(a1),f326(f326(f80(a1),x43191),x43192)),x43193))
% 178.46/178.24 [4351]E(f326(f326(f3(f922(x43511,a910)),f326(f172(x43511),x43512)),f326(f326(f308(x43511),x43513),f188(f922(x43511,a910)))),f326(f172(x43511),f326(f136(x43511,f326(f326(f10(a910,a910,x43511),a321),f326(a323,x43513))),x43512)))
% 178.46/178.24 [4402]E(f326(f326(f134(x44021),f326(f142(f915(x44021),f915(x44021),f134(x44021),f113(x44021)),x44022)),f326(f142(f915(x44021),f915(x44021),f134(x44021),f113(x44021)),x44023)),f326(f142(f915(x44021),f915(x44021),f134(x44021),f113(x44021)),f326(f326(f134(f915(x44021)),x44022),x44023)))
% 178.46/178.24 [4405]E(f326(f326(f251(f915(x44051),f915(x44051)),f326(f136(x44051,x44052),x44053)),f326(f136(x44051,f326(f72(a910,a910,x44051,a321),x44052)),x44053)),f166(x44051,x44052,x44053))
% 178.46/178.24 [4408]E(f326(f326(f79(a914),f326(f326(f79(a914),f326(f326(f36(a914),x44081),x44082)),f326(f326(f36(a914),x44083),x44082))),f326(f326(f36(a914),f326(f326(f79(a914),f45(a914,x44081,x44082)),f45(a914,x44083,x44082))),x44082)),f326(f326(f36(a914),f326(f326(f79(a914),x44081),x44083)),x44082))
% 178.46/178.24 [4409]E(f326(f326(f79(a1),f326(f326(f79(a1),f326(f326(f36(a1),x44091),x44092)),f326(f326(f36(a1),x44093),x44092))),f326(f326(f36(a1),f326(f326(f79(a1),f45(a1,x44091,x44092)),f45(a1,x44093,x44092))),x44092)),f326(f326(f36(a1),f326(f326(f79(a1),x44091),x44093)),x44092))
% 178.46/178.24 [4462]E(f326(f326(f101(f922(f915(x44621),a910)),f326(f326(f9(f915(x44621),f922(f915(x44621),a910),a910),f328(f915(x44621))),f161(x44621,x44622))),f326(f326(f9(f915(x44621),f922(f915(x44621),a910),a910),f328(f915(x44621))),f161(x44621,x44623))),f160(x44621,f326(f326(f101(f922(x44621,a910)),f326(f326(f9(x44621,f922(x44621,a910),a910),f328(x44621)),x44622)),f326(f326(f9(x44621,f922(x44621,a910),a910),f328(x44621)),x44623))))
% 178.46/178.24 [4474]E(f326(f261(x44741),f326(f326(f20(x44741,a910,a910),f326(f326(f10(a910,f922(a910,a910),x44741),a324),f326(f326(f9(x44741,x44741,a910),a323),x44742))),f326(f326(f9(x44741,f922(x44741,a910),a910),f328(x44741)),x44743))),f326(f326(f308(x44741),x44742),x44743))
% 178.46/178.24 [4494]E(f326(f326(f85(f915(f915(x44941)),f915(f915(x44941))),f54(x44941,x44942)),f326(f326(f20(f915(f915(x44941)),f915(f915(x44941)),f915(f915(x44941))),f326(f326(f10(f915(f915(x44941)),f922(f915(f915(x44941)),f915(f915(x44941))),f915(f915(x44941))),f134(f915(x44941))),f326(f154(f915(x44941),f915(x44941)),f326(f151(x44941),x44943)))),f7(f915(f915(x44941))))),f54(x44941,f326(f326(f151(x44941),x44943),x44942)))
% 178.46/178.24 [4497]E(f326(f261(x44971),f326(f326(f20(x44971,a910,a910),f326(f326(f10(a910,f922(a910,a910),x44971),a324),f326(f326(f9(x44971,f922(x44971,a910),a910),f328(x44971)),x44972))),f326(f326(f9(x44971,f922(x44971,a910),a910),f328(x44971)),x44973))),f326(f326(f110(f922(x44971,a910)),x44972),x44973))
% 178.46/178.24 [4498]E(f326(f261(x44981),f326(f326(f20(x44981,a910,a910),f326(f326(f10(a910,f922(a910,a910),x44981),a325),f326(f326(f9(x44981,f922(x44981,a910),a910),f328(x44981)),x44982))),f326(f326(f9(x44981,f922(x44981,a910),a910),f328(x44981)),x44983))),f326(f326(f101(f922(x44981,a910)),x44982),x44983))
% 178.46/178.24 [4588]E(f326(f326(f40(x45881,f922(f922(x45881,a910),a910)),x45882),f326(f326(f9(x45881,f922(f922(x45881,a910),a910),f922(f922(x45881,a910),a910)),f326(f326(f10(f922(x45881,a910),f922(f922(f922(x45881,a910),a910),f922(f922(x45881,a910),a910)),x45881),f308(f922(x45881,a910))),f326(f326(f10(f922(x45881,a910),f922(x45881,a910),x45881),f284(x45881,x45881,x45883)),f326(f326(f9(x45881,f922(x45881,a910),f922(x45881,a910)),f308(x45881)),f188(f922(x45881,a910)))))),f188(f922(f922(x45881,a910),a910)))),f326(f326(f60(x45881),x45882),x45883))
% 178.46/178.24 [4590]E(f326(f326(f201(x45901),f326(f326(f80(a1),f326(f326(f72(f921(a1,a1),a1,x45901,f250(a1,a1)),f212(x45901)),x45902)),f326(f326(f72(f921(a1,a1),a1,x45901,f250(a1,a1)),f212(x45901)),x45903))),f326(f326(f80(a1),f326(f326(f72(f921(a1,a1),a1,x45901,f255(a1,a1)),f212(x45901)),x45902)),f326(f326(f72(f921(a1,a1),a1,x45901,f255(a1,a1)),f212(x45901)),x45903))),f228(x45901,x45902,x45903))
% 178.46/178.24 [4593]E(f326(f261(f915(x45931)),f326(f326(f20(f915(x45931),a910,a910),f326(f326(f10(a910,f922(a910,a910),f915(x45931)),a325),f326(f326(f9(f915(x45931),a914,a910),f326(f326(f10(a914,f922(a914,a910),f915(x45931)),a323),f189(f915(x45931)))),x45932))),f326(f326(f9(f915(x45931),f922(x45931,a910),a910),f326(f326(f10(f922(x45931,a910),f922(f922(x45931,a910),a910),f915(x45931)),f234(f922(x45931,a910))),f172(x45931))),f326(f172(x45931),x45933)))),f326(f172(f915(x45931)),f55(x45931,x45932,x45933)))
% 178.46/178.24 [3994]E(f45(a914,f326(f326(f79(a914),f326(f326(f80(a914),x39941),x39942)),x39943),x39942),f45(a914,x39943,x39942))
% 178.46/178.24 [4041]E(f139(a914,f326(f301(a914,f326(f326(f79(a914),x40411),x40412)),x40413)),f326(f326(f138(a914),x40412),f139(a914,f326(f301(a914,x40411),x40413))))
% 178.46/178.24 [4082]E(f326(f326(f79(a1),f326(f100(a1),x40821)),f326(f326(f79(a1),f326(f100(a1),x40822)),x40823)),f326(f326(f79(a1),f326(f100(a1),f326(f326(f79(a914),x40821),x40822))),x40823))
% 178.46/178.24 [4089]E(f326(f326(f110(f922(x40891,a910)),f326(f326(f3(f922(x40891,a910)),x40892),x40893)),x40893),f326(f326(f110(f922(x40891,a910)),x40892),x40893))
% 178.46/178.24 [4090]E(f326(f326(f3(f922(x40901,a910)),f326(f326(f3(f922(x40901,a910)),x40902),x40903)),x40903),f326(f326(f3(f922(x40901,a910)),x40902),x40903))
% 178.46/178.24 [4114]E(f326(f326(f288(x41141,x41141,x41142),f306(x41141,f188(f922(f921(x41141,x41141),a910)))),x41143),x41143)
% 178.46/178.24 [4122]E(f326(f326(f110(f922(x41221,a910)),f326(f280(x41221),x41222)),f326(f280(x41221),x41223)),f326(f280(x41221),f326(f326(f110(f922(f921(x41221,x41221),a910)),x41222),x41223)))
% 178.46/178.24 [4132]E(f265(x41321,f326(f326(f151(f921(a99,x41321)),f326(f326(f251(a99,x41321),f2(a99)),x41322)),x41323)),f265(x41321,x41323))
% 178.46/178.24 [4134]E(f326(f326(f110(f922(x41341,a910)),f37(f922(x41341,a910),x41342)),f37(f922(x41341,a910),x41343)),f37(f922(x41341,a910),f326(f326(f110(f922(f922(x41341,a910),a910)),x41342),x41343)))
% 178.46/178.24 [4135]E(f326(f326(f101(f922(x41351,a910)),f38(f922(x41351,a910),x41352)),f38(f922(x41351,a910),x41353)),f38(f922(x41351,a910),f326(f326(f110(f922(f922(x41351,a910),a910)),x41352),x41353)))
% 178.46/178.24 [4172]E(f326(f326(f288(x41721,x41721,x41721),f326(f326(f183(f921(x41721,x41721),a910),x41722),x41723)),x41723),f326(f326(f183(f921(x41721,x41721),a910),f326(a112,x41722)),x41723))
% 178.46/178.24 [4217]P106(f326(f326(f234(f922(x42171,a910)),f326(f326(f3(f922(x42171,a910)),x42172),x42173)),x42172))
% 178.46/178.24 [4218]P106(f326(f326(f234(f922(x42181,a910)),f326(f326(f101(f922(x42181,a910)),x42182),x42183)),x42183))
% 178.46/178.24 [4219]P106(f326(f326(f234(f922(x42191,a910)),f326(f326(f101(f922(x42191,a910)),x42192),x42193)),x42192))
% 178.46/178.24 [4243]E(f306(x42431,f326(f326(f110(f922(f921(x42431,x42431),a910)),f306(x42431,x42432)),f306(x42431,x42433))),f306(x42431,f326(f326(f110(f922(f921(x42431,x42431),a910)),x42432),x42433)))
% 178.46/178.24 [4247]E(f37(f922(x42471,a910),f326(f326(f308(f922(x42471,a910)),x42472),f326(f326(f308(f922(x42471,a910)),x42473),f188(f922(f922(x42471,a910),a910))))),f326(f326(f110(f922(x42471,a910)),x42472),x42473))
% 178.46/178.24 [4248]E(f38(f922(x42481,a910),f326(f326(f308(f922(x42481,a910)),x42482),f326(f326(f308(f922(x42481,a910)),x42483),f188(f922(f922(x42481,a910),a910))))),f326(f326(f101(f922(x42481,a910)),x42482),x42483))
% 178.46/178.24 [4253]E(f326(f326(f288(x42531,x42531,x42531),f326(f326(f183(f921(x42531,x42531),a910),x42532),x42533)),x42533),f326(f326(f288(x42531,x42531,x42531),x42533),f326(f326(f183(f921(x42531,x42531),a910),x42532),x42533)))
% 178.46/178.24 [4322]E(f326(f326(f110(f922(x43221,a910)),f326(f261(x43221),f326(f326(f9(x43221,x43221,a910),a323),x43222))),x43223),f326(f326(f308(x43221),x43222),x43223))
% 178.46/178.24 [4324]E(f326(a104,f326(f326(f8(x43241,a1),f326(f326(f10(a914,a1,x43241),f100(a1)),x43242)),x43243)),f326(f326(f8(x43241,a914),x43242),x43243))
% 178.46/178.24 [4325]E(f326(a104,f326(f326(f11(x43251,a1),f326(f326(f10(a914,a1,x43251),f100(a1)),x43252)),x43253)),f326(f326(f11(x43251,a914),x43252),x43253))
% 178.46/178.24 [4399]E(f326(f156(f915(x43991),x43991,f326(f171(x43991),x43992),f326(f18(f922(f915(x43991),f915(x43991)),x43991),f326(f326(f9(f915(x43991),f915(x43991),f915(x43991)),f134(x43991)),x43992))),x43993),f326(f171(x43991),f326(f326(f134(x43991),x43993),x43992)))
% 178.46/178.24 [4427]P106(f326(f326(f234(f922(f922(x44271,a910),a910)),f326(f326(f110(f922(f922(x44271,a910),a910)),f326(f307(x44271),x44272)),f326(f307(x44271),x44273))),f326(f307(x44271),f326(f326(f110(f922(x44271,a910)),x44272),x44273))))
% 178.46/178.24 [4517]E(f326(f261(x45171),f326(f326(f20(x45171,a910,a910),f326(f326(f10(a910,f922(a910,a910),x45171),a325),f326(f326(f9(x45171,f922(x45171,a910),a910),f328(x45171)),x45172))),f326(f326(f10(a910,a910,x45171),a321),f326(f326(f9(x45171,f922(x45171,a910),a910),f328(x45171)),x45173)))),f326(f326(f3(f922(x45171,a910)),x45172),x45173))
% 178.46/178.24 [4541]E(f326(f35(a914),f326(f261(a914),f326(f326(f20(a914,a910,a910),f326(f326(f10(a910,f922(a910,a910),a914),a325),f326(f326(f9(a914,a914,a910),f235(a914)),f326(f189(f915(x45411)),x45412)))),f326(f326(f10(x45411,a910,a914),x45413),f326(f164(x45411),x45412))))),f326(f189(f915(x45411)),f326(f136(x45411,x45413),x45412)))
% 178.46/178.24 [4543]E(f326(f189(f915(x45431)),f176(x45431,x45432,x45433)),f326(f35(a914),f326(f261(a914),f326(f326(f20(a914,a910,a910),f326(f326(f10(a910,f922(a910,a910),a914),a325),f326(f326(f9(a914,a914,a910),f235(a914)),f326(f189(f915(x45431)),x45432)))),f326(f326(f9(a914,f922(a914,a910),a910),f328(a914)),x45433)))))
% 178.46/178.24 [4639]E(f326(f326(f101(f922(f921(f915(x46391),f915(x46391)),a910)),f326(f309(f921(f921(x46391,f915(x46391)),f921(x46391,f915(x46391))),f921(f915(x46391),f915(x46391)),f257(f921(x46391,f915(x46391)),f915(x46391),f921(x46391,f915(x46391)),f915(x46391),f326(f256(x46391,f915(x46391),f915(x46391)),f151(x46391)),f326(f256(x46391,f915(x46391),f915(x46391)),f151(x46391)))),f319(x46391,f915(x46391),x46392,f326(f143(x46391,x46392),x46393)))),f326(f261(f921(f915(x46391),f915(x46391))),f326(f256(f915(x46391),f915(x46391),a910),f326(f326(f9(f915(x46391),f922(f915(x46391),a910),f922(f915(x46391),a910)),f326(f326(f10(f922(a910,a910),f922(f922(f915(x46391),a910),f922(f915(x46391),a910)),f915(x46391)),f10(a910,a910,f915(x46391))),f326(f326(f10(a910,f922(a910,a910),f915(x46391)),a325),f326(f326(f9(f915(x46391),a914,a910),f326(f326(f10(a914,f922(a914,a910),f915(x46391)),a323),f189(f915(x46391)))),f326(a112,x46393))))),f326(f326(f9(f915(x46391),a914,a910),f326(f326(f10(a914,f922(a914,a910),f915(x46391)),a323),f189(f915(x46391)))),f326(a112,x46393)))))),f326(f143(x46391,x46392),f326(a112,x46393)))
% 178.46/178.24 [4136]E(f45(a914,f326(a112,f326(f326(f79(a914),f326(f326(f80(a914),x41361),x41362)),x41363)),x41362),f45(a914,f326(a112,x41363),x41362))
% 178.46/178.24 [4384]E(f326(f261(x43841),f326(f326(f20(x43841,a910,a910),f326(f326(f10(a910,f922(a910,a910),x43841),a324),x43842)),x43843)),f326(f326(f110(f922(x43841,a910)),f326(f261(x43841),x43842)),f326(f261(x43841),x43843)))
% 178.46/178.24 [4385]E(f326(f261(x43851),f326(f326(f20(x43851,a910,a910),f326(f326(f10(a910,f922(a910,a910),x43851),a325),x43852)),x43853)),f326(f326(f101(f922(x43851,a910)),f326(f261(x43851),x43852)),f326(f261(x43851),x43853)))
% 178.46/178.24 [4387]E(f326(f326(f134(x43871),f326(f326(f138(x43871),f45(a914,x43872,f326(f189(f915(x43871)),x43873))),x43873)),f326(f326(f175(x43871),f45(a914,x43872,f326(f189(f915(x43871)),x43873))),x43873)),f326(f326(f326(f183(f915(x43871),f915(x43871)),x43872),f167(x43871)),x43873))
% 178.46/178.24 [4394]E(f326(f261(x43941),f326(f326(f20(x43941,a910,a910),f326(f326(f10(a910,f922(a910,a910),x43941),a329),x43942)),x43943)),f326(f326(f110(f922(x43941,a910)),f326(f78(f922(x43941,a910)),f326(f261(x43941),x43942))),f326(f261(x43941),x43943)))
% 178.46/178.24 [4410]E(f326(f326(f79(a914),f326(f189(f915(x44101)),f326(f136(x44101,x44102),x44103))),f326(f189(f915(x44101)),f326(f136(x44101,f326(f326(f10(a910,a910,x44101),a321),x44102)),x44103))),f326(f189(f915(x44101)),x44103))
% 178.46/178.24 [4433]P106(f326(f326(f234(f922(x44331,a910)),f326(f326(f110(f922(x44331,a910)),f38(f922(x44331,a910),x44332)),f38(f922(x44331,a910),x44333))),f38(f922(x44331,a910),f326(f326(f101(f922(f922(x44331,a910),a910)),x44332),x44333))))
% 178.46/178.24 [4447]E(f326(f172(x44471),f326(f136(x44471,f326(f326(f10(a910,a910,x44471),a321),f326(f326(f9(x44471,x44471,a910),a323),x44472))),x44473)),f326(f326(f3(f922(x44471,a910)),f326(f172(x44471),x44473)),f326(f326(f308(x44471),x44472),f188(f922(x44471,a910)))))
% 178.46/178.24 [4456]P106(f326(f326(f234(f922(f921(x44561,x44561),a910)),f326(f326(f110(f922(f921(x44561,x44561),a910)),f306(x44561,x44562)),f306(x44561,x44563))),f306(x44561,f326(f326(f110(f922(f921(x44561,x44561),a910)),x44562),x44563))))
% 178.46/178.24 [4479]E(f326(f326(f80(a914),f326(a112,f326(a112,f2(a914)))),f326(f326(f8(a914,a914),f326(f326(f10(a914,a914,a914),f326(f79(a914),x44791)),f326(f326(f9(a914,a914,a914),f80(a914)),x44792))),f326(f281(a914),x44793))),f326(f326(f80(a914),x44793),f326(f326(f79(a914),x44791),f326(f326(f79(a914),x44791),f326(f326(f80(a914),f326(f326(f3(a914),x44793),f77(a914))),x44792)))))
% 178.46/178.24 [4489]E(f326(f261(x44891),f326(f326(f20(x44891,a910,a910),f326(f326(f10(a910,f922(a910,a910),x44891),a325),f326(f326(f9(x44891,f922(x44891,a910),a910),f328(x44891)),f326(f172(x44891),x44892)))),x44893)),f326(f172(x44891),f326(f136(x44891,x44893),x44892)))
% 178.46/178.24 [4638]E(f326(f261(x46381),f326(f326(f10(f922(a914,a910),a910,x46381),f86(a914)),f326(f326(f9(x46381,f922(a914,a910),f922(a914,a910)),f326(f326(f10(f922(a914,f922(a910,a910)),f922(f922(a914,a910),f922(a914,a910)),x46381),f20(a914,a910,a910)),f326(f326(f10(f922(a914,a910),f922(a914,f922(a910,a910)),x46381),f326(f10(a910,f922(a910,a910),a914),a325)),f326(f326(f9(x46381,f922(a914,x46381),f922(a914,a910)),f326(f326(f10(f922(x46381,a910),f922(f922(a914,x46381),f922(a914,a910)),x46381),f10(x46381,a910,a914)),a323)),f326(f164(x46381),x46382))))),f326(f326(f20(a914,a910,a910),f326(f326(f10(a910,f922(a910,a910),a914),a325),f326(f326(f9(a914,a914,a910),f235(a914)),f326(f189(f915(x46381)),x46382)))),f326(f326(f9(a914,f922(a914,a910),a910),f328(a914)),x46383))))),f326(f172(x46381),f176(x46381,x46382,x46383)))
% 178.46/178.24 [4530]E(f326(f261(x45301),f326(f326(f20(x45301,a910,a910),f326(f326(f10(a910,f922(a910,a910),x45301),a329),f326(f326(f10(a910,a910,x45301),a321),f326(f326(f9(x45301,x45301,a910),a323),x45302)))),x45303)),f326(f326(f308(x45301),x45302),f326(f261(x45301),x45303)))
% 178.46/178.24 [4562]E(f326(f326(f154(f921(x45621,a914),x45621),f250(x45621,a914)),f326(f136(f921(x45621,a914),f326(f326(f9(f921(x45621,a914),f922(a914,a910),a910),f326(f326(f10(a914,f922(f922(a914,a910),a910),f921(x45621,a914)),f328(a914)),f255(x45621,a914))),x45622)),f326(f326(f181(x45621,a914),x45623),f139(a914,f326(f301(a914,f2(a914)),f326(f189(f915(x45621)),x45623)))))),f176(x45621,x45623,x45622))
% 178.46/178.24 [4589]E(f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f8(a914,a1),f326(f326(f10(a1,a1,a914),f326(f79(a1),x45891)),f326(f326(f9(a914,a1,a1),f326(f326(f10(a1,f922(a1,a1),a914),f80(a1)),f100(a1))),x45892))),f326(f281(a914),x45893))),f326(f326(f80(a1),f326(f100(a1),x45893)),f326(f326(f79(a1),x45891),f326(f326(f79(a1),x45891),f326(f326(f80(a1),f326(f100(a1),f326(f326(f3(a914),x45893),f77(a914)))),x45892)))))
% 178.46/178.24 [4631]E(f326(f261(f921(x46311,x46312)),f326(f256(x46311,x46312,a910),f326(f326(f9(x46311,f922(f921(x46312,x46311),a910),f922(x46312,a910)),f326(f326(f10(f922(x46312,f922(f922(f921(x46312,x46311),a910),a910)),f922(f922(f921(x46312,x46311),a910),f922(x46312,a910)),x46311),f9(x46312,f922(f921(x46312,x46311),a910),a910)),f326(f326(f10(f922(x46312,f921(x46312,x46311)),f922(x46312,f922(f922(f921(x46312,x46311),a910),a910)),x46311),f326(f10(f921(x46312,x46311),f922(f922(f921(x46312,x46311),a910),a910),x46312),f328(f921(x46312,x46311)))),f326(f9(x46312,x46311,f921(x46312,x46311)),f251(x46312,x46311))))),x46313))),f326(f285(x46312,x46311),x46313))
% 178.46/178.24 [4652]E(f326(f261(f915(x46521)),f326(f326(f10(f922(x46521,a910),a910,f915(x46521)),f86(x46521)),f326(f326(f10(f922(x46521,f922(f915(x46521),a910)),f922(x46521,a910),f915(x46521)),f326(f10(f922(f915(x46521),a910),a910,x46521),f86(f915(x46521)))),f326(f326(f9(f915(x46521),f922(x46521,f922(f915(x46521),a910)),f922(x46521,f922(f915(x46521),a910))),f326(f326(f10(f922(x46521,f922(f922(f915(x46521),a910),f922(f915(x46521),a910))),f922(f922(x46521,f922(f915(x46521),a910)),f922(x46521,f922(f915(x46521),a910))),f915(x46521)),f20(x46521,f922(f915(x46521),a910),f922(f915(x46521),a910))),f326(f326(f10(f922(x46521,f922(f915(x46521),f922(a910,a910))),f922(x46521,f922(f922(f915(x46521),a910),f922(f915(x46521),a910))),f915(x46521)),f326(f10(f922(f915(x46521),f922(a910,a910)),f922(f922(f915(x46521),a910),f922(f915(x46521),a910)),x46521),f20(f915(x46521),a910,a910))),f326(f326(f10(f922(x46521,f922(f915(x46521),a910)),f922(x46521,f922(f915(x46521),f922(a910,a910))),f915(x46521)),f326(f10(f922(f915(x46521),a910),f922(f915(x46521),f922(a910,a910)),x46521),f326(f10(a910,f922(a910,a910),f915(x46521)),a325))),f326(f326(f9(f915(x46521),f922(x46521,f922(f915(x46521),f915(x46521))),f922(x46521,f922(f915(x46521),a910))),f326(f326(f10(f922(f922(f915(x46521),f915(x46521)),f922(f915(x46521),a910)),f922(f922(x46521,f922(f915(x46521),f915(x46521))),f922(x46521,f922(f915(x46521),a910))),f915(x46521)),f10(f922(f915(x46521),f915(x46521)),f922(f915(x46521),a910),x46521)),f326(f326(f10(f922(f915(x46521),a910),f922(f922(f915(x46521),f915(x46521)),f922(f915(x46521),a910)),f915(x46521)),f10(f915(x46521),a910,f915(x46521))),a323))),f151(x46521)))))),f326(f326(f9(x46521,f922(f915(x46521),a910),f922(f915(x46521),a910)),f326(f326(f10(f922(a910,a910),f922(f922(f915(x46521),a910),f922(f915(x46521),a910)),x46521),f10(a910,a910,f915(x46521))),f326(f326(f10(a910,f922(a910,a910),x46521),a325),f326(f326(f9(x46521,f922(x46521,a910),a910),f328(x46521)),x46522)))),f326(f326(f9(f915(x46521),f922(f915(x46521),a910),a910),f328(f915(x46521))),x46523)))))),f174(x46521,x46522,x46523))
% 178.46/178.24 [4649]E(f326(f326(f85(a1,f921(a1,a1)),f326(f326(f3(a1),x46491),x46492)),f326(f326(f9(a1,f921(a1,a1),f921(a1,a1)),f326(f326(f20(a1,f921(a1,a1),f922(f921(a1,a1),f921(a1,a1))),f326(f326(f10(a910,f922(f921(a1,a1),f922(f921(a1,a1),f921(a1,a1))),a1),f96(f921(a1,a1))),f326(f234(a1),f2(a1)))),f326(f251(a1,a1),f326(f326(f79(a1),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x46493)),f77(a1))))),f326(f326(f251(a1,a1),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x46493)),x46491))),f326(f43(x46492),f326(f326(f251(a1,a1),x46493),x46491)))
% 178.46/178.24 [4672]~E(f29(x46721,x46722),f30(x46723,x46724))
% 178.46/178.24 [3692]E(f116(x36921,f326(x36922,x36923),f326(x36924,x36923)),f326(f203(x36921,x36922,x36924),x36923))
% 178.46/178.24 [3745]E(f326(f326(f244(x37451,x37452,x37453),x37454),f2(a914)),x37452)
% 178.46/178.24 [3785]E(f185(x37851,x37852,x37853,f326(a112,x37854)),f326(x37853,x37854))
% 178.46/178.24 [3827]E(f170(x38271,x38272,f170(x38271,x38273,x38274)),f170(x38271,x38273,f170(x38271,x38272,x38274)))
% 178.46/178.24 [3828]E(f126(x38281,x38282,f116(x38281,x38283,x38284)),f116(x38281,f126(x38281,x38282,x38283),x38284))
% 178.46/178.24 [3962]E(f326(f156(x39621,x39622,x39623,x39624),f113(x39622)),x39623)
% 178.46/178.24 [3963]E(f326(f142(x39631,x39632,x39633,x39634),f113(x39632)),x39634)
% 178.46/178.24 [4000]E(f326(f189(f919(x40001,x40002)),f220(x40001,x40002,x40003,x40004)),f2(a914))
% 178.46/178.24 [4025]E(f326(f256(x40251,x40252,x40253),f254(x40251,x40252,x40253,x40254)),x40254)
% 178.46/178.24 [4069]E(f326(f326(f134(x40691),f169(x40691,x40692,x40693)),f169(x40691,x40694,x40693)),f326(f326(f134(x40691),f169(x40691,x40694,x40693)),f169(x40691,x40692,x40693)))
% 178.46/178.24 [4155]E(f326(f326(f258(x41551,x41552,x41553,f921(x41552,x41553)),x41554),f251(x41552,x41553)),x41554)
% 178.46/178.24 [4165]E(f127(x41651,x41652,x41653,x41654,f119(x41652)),x41653)
% 178.46/178.24 [4171]E(f74(x41711,x41712,x41713,x41714,f326(x41713,x41714)),x41713)
% 178.46/178.24 [4440]P42(x44401,x44402,x44403,x44404,f188(f922(x44401,a910)),x44404)
% 178.46/178.24 [3494]E(f326(f326(f18(x34941,x34942),x34943),x34944),x34943)
% 178.46/178.24 [3775]E(f170(x37751,x37752,f326(f136(x37751,x37753),x37754)),f326(f136(x37751,x37753),f170(x37751,x37752,x37754)))
% 178.46/178.24 [3810]E(f326(f326(f64(x38101,x38102,x38103),x38104),f188(f922(x38101,a910))),x38104)
% 178.46/178.24 [3834]E(f326(f326(f164(x38341),f326(f326(f151(x38341),x38342),x38343)),f326(a112,x38344)),f326(f326(f164(x38341),x38343),x38344))
% 178.46/178.24 [3901]E(f326(f326(x39011,x39012),f326(f184(x39013,x39014,x39011),x39012)),f326(f184(x39013,x39014,x39011),f326(a112,x39012)))
% 178.46/178.24 [3943]E(f254(x39431,x39432,x39433,f326(f256(x39431,x39432,x39433),x39434)),x39434)
% 178.46/178.24 [3998]E(f326(f326(f159(x39981,f326(f326(f151(x39981),x39982),x39983)),f2(a914)),x39984),f326(f326(f151(x39981),x39984),x39983))
% 178.46/178.24 [4010]E(f326(f326(f40(f922(x40101,a910),f922(x40102,a910)),x40103),f309(x40101,x40102,x40104)),f326(f309(x40101,x40102,x40104),f37(f922(x40101,a910),x40103)))
% 178.46/178.24 [4011]E(f326(f326(f40(f922(x40111,a910),f922(x40112,a910)),x40113),f310(x40112,x40111,x40114)),f326(f310(x40112,x40111,x40114),f37(f922(x40111,a910),x40113)))
% 178.46/178.24 [4036]E(f120(x40361,f130(x40362,f916(x40361),x40363,x40364)),f326(f118(x40362,x40361,x40364),x40363))
% 178.46/178.24 [4110]E(f326(f125(x41101,x41102),f126(x41101,x41103,x41104)),f326(f326(f79(a914),f326(f326(f79(a914),f326(x41102,x41103)),f326(f125(x41101,x41102),x41104))),f326(a112,f2(a914))))
% 178.46/178.24 [4131]E(f326(f142(x41311,x41312,f326(f9(x41312,x41311,x41311),x41313),x41314),f326(f168(x41312),f113(x41312))),x41314)
% 178.46/178.24 [4237]E(f223(x42371,f921(x42372,f916(x42372)),x42373,f326(f256(x42372,f916(x42372),x42371),x42374),f326(f135(x42372),f119(x42372))),x42373)
% 178.46/178.24 [4369]E(f326(f256(x43691,x43692,x43693),f326(f326(f10(f922(x43692,f921(x43691,x43692)),f922(x43692,x43693),x43691),f326(f10(f921(x43691,x43692),x43693,x43692),x43694)),f251(x43691,x43692))),x43694)
% 178.46/178.24 [3683]E(f326(f255(x36831,x36832),f326(f326(f251(x36831,x36832),x36833),x36834)),x36834)
% 178.46/178.24 [3684]E(f326(f250(x36841,x36842),f326(f326(f251(x36841,x36842),x36843),x36844)),x36843)
% 178.46/178.24 [3717]E(f326(f189(f915(x37171)),f326(f326(f159(x37171,x37172),x37173),x37174)),f326(f189(f915(x37171)),x37172))
% 178.46/178.24 [3718]E(f326(f189(f915(x37181)),f326(f326(f154(x37182,x37181),x37183),x37184)),f326(f189(f915(x37182)),x37184))
% 178.46/178.24 [3739]E(f326(f326(f138(x37391),f326(a112,x37392)),f326(f326(f151(x37391),x37393),x37394)),f326(f326(f138(x37391),x37392),x37394))
% 178.46/178.24 [3805]E(f326(f326(f175(x38051),x38052),f169(x38051,x38053,x38054)),f169(x38051,f326(f326(f232(a914),x38052),x38053),x38054))
% 178.46/178.24 [3806]E(f326(f326(f138(x38061),x38062),f169(x38061,x38063,x38064)),f169(x38061,f326(f326(f3(a914),x38063),x38062),x38064))
% 178.46/178.24 [3812]E(f326(f326(f308(x38121),x38122),f326(f326(f308(x38121),x38123),x38124)),f326(f326(f308(x38121),x38123),f326(f326(f308(x38121),x38122),x38124)))
% 178.46/178.24 [3816]E(f326(f326(f154(x38161,x38162),x38163),f114(x38161,x38164)),f114(x38162,f326(f326(f154(x38161,x38162),x38163),x38164)))
% 178.46/178.24 [3832]E(f326(f168(x38321),f326(f326(f154(x38322,x38321),x38323),x38324)),f326(f326(f154(x38322,x38321),x38323),f326(f168(x38322),x38324)))
% 178.46/178.24 [3833]E(f326(f326(f154(x38331,x38332),x38333),f326(f171(x38331),x38334)),f326(f171(x38332),f326(f326(f154(x38331,x38332),x38333),x38334)))
% 178.46/178.24 [3847]E(f326(f326(f175(x38471),f326(a112,x38472)),f326(f326(f151(x38471),x38473),x38474)),f326(f326(f151(x38471),x38473),f326(f326(f175(x38471),x38472),x38474)))
% 178.46/178.24 [3851]E(f326(f172(x38511),f326(f326(f154(x38512,x38511),x38513),x38514)),f326(f309(x38512,x38511,x38513),f326(f172(x38512),x38514)))
% 178.46/178.24 [3864]E(f326(f326(f154(x38641,x38642),f326(f18(x38642,x38641),x38643)),x38644),f169(x38642,f326(f189(f915(x38641)),x38644),x38643))
% 178.46/178.24 [3900]E(f19(x39001,x39002,x39003,f326(a5,f326(a112,f326(a22,x39004)))),f326(x39003,x39004))
% 178.46/178.24 [3904]E(f326(f326(f134(x39041),f326(f136(x39041,x39042),x39043)),f326(f136(x39041,x39042),x39044)),f326(f136(x39041,x39042),f326(f326(f134(x39041),x39043),x39044)))
% 178.46/178.24 [3917]E(f152(x39171,f326(f326(f154(x39172,x39171),x39173),f152(x39172,x39174))),f152(x39171,f326(f326(f154(x39172,x39171),x39173),x39174)))
% 178.46/178.24 [3932]E(f326(f285(x39321,x39321),f326(f326(f287(x39322,x39321),x39323),x39324)),f326(f326(f287(x39322,x39321),f326(f285(x39322,x39322),x39323)),x39324))
% 178.46/178.24 [3944]E(f326(f326(f288(x39441,x39442,x39443),x39444),f188(f922(f921(x39442,x39443),a910))),f188(f922(f921(x39441,x39443),a910)))
% 178.46/178.24 [3945]E(f326(f326(f175(x39451),f326(f326(f3(a914),x39452),x39453)),f326(f326(f138(x39451),x39453),x39454)),f326(f326(f138(x39451),x39453),f326(f326(f175(x39451),x39452),x39454)))
% 178.46/178.24 [3964]E(f326(f326(f134(x39641),f169(x39641,x39642,x39643)),f169(x39641,x39644,x39643)),f169(x39641,f326(f326(f79(a914),x39642),x39644),x39643))
% 178.46/178.24 [3965]E(f326(f326(f326(f277(x39651),x39652),x39653),x39654),f326(f251(f922(a99,f922(a910,f918(f916(x39651)))),f921(a99,a99)),f326(f42(x39651),x39652)))
% 178.46/178.24 [3991]E(f37(f922(x39911,a910),f326(f309(x39912,f922(x39911,a910),x39913),x39914)),f326(f326(f40(x39912,f922(x39911,a910)),x39914),x39913))
% 178.46/178.24 [3992]E(f38(f922(x39921,a910),f326(f309(x39922,f922(x39921,a910),x39923),x39924)),f326(f326(f39(x39922,f922(x39921,a910)),x39924),x39923))
% 178.46/178.24 [3993]E(f326(f189(f915(f921(x39931,x39932))),f326(f326(f181(x39931,x39932),x39933),x39934)),f326(f326(f232(a914),f326(f189(f915(x39931)),x39933)),f326(f189(f915(x39932)),x39934)))
% 178.46/178.24 [3995]E(f326(f310(x39951,x39952,x39953),f326(f78(f922(x39952,a910)),x39954)),f326(f78(f922(x39951,a910)),f326(f310(x39951,x39952,x39953),x39954)))
% 178.46/178.24 [4046]E(f326(f310(x40461,x40462,x40463),f326(f261(x40462),x40464)),f326(f261(x40461),f326(f326(f10(x40462,a910,x40461),x40464),x40463)))
% 178.46/178.24 [4064]E(f326(f326(f164(x40641),f326(f326(f134(x40641),x40642),f326(f326(f151(x40641),x40643),x40644))),f326(f189(f915(x40641)),x40642)),x40643)
% 178.46/178.24 [4087]E(f326(f309(x40871,x40872,x40873),f326(f310(x40871,x40872,x40873),x40874)),f326(f326(f101(f922(x40872,a910)),x40874),f326(f309(x40871,x40872,x40873),f241(f922(x40871,a910)))))
% 178.46/178.24 [4106]P106(f326(f326(f328(x41061),f326(x41062,x41063)),f326(f309(x41064,x41061,x41062),f241(f922(x41064,a910)))))
% 178.46/178.24 [4115]E(f21(x41151,x41152,x41153,f326(a5,f326(a112,f326(a22,x41154)))),f326(f326(x41153,x41154),f21(x41151,x41152,x41153,x41154)))
% 178.46/178.24 [4119]E(f326(f326(f134(x41191),f169(x41191,x41192,x41193)),f326(f326(f151(x41191),x41193),x41194)),f326(f326(f151(x41191),x41193),f326(f326(f134(x41191),f169(x41191,x41192,x41193)),x41194)))
% 178.46/178.24 [4121]E(f326(f326(f253(x41211,x41212),f326(f172(x41211),x41213)),f326(f18(f922(x41212,a910),x41211),f326(f172(x41212),x41214))),f326(f172(f921(x41211,x41212)),f59(x41211,x41212,x41213,x41214)))
% 178.46/178.24 [4133]E(f155(x41331,x41332,f326(f326(f151(x41331),x41333),x41334)),f326(f326(f79(a914),f326(f326(f79(a914),f326(x41332,x41333)),f155(x41331,x41332,x41334))),f326(a112,f2(a914))))
% 178.46/178.24 [4146]E(f185(f915(x41461),f326(f326(f151(x41461),x41462),x41463),f326(f326(f9(a914,f915(x41461),f915(x41461)),f138(x41461)),x41463),x41464),f326(f326(f138(x41461),x41464),f326(f326(f151(x41461),x41462),x41463)))
% 178.46/178.24 [4147]P24(x41471,f921(x41472,x41471),f330(x41473,x41474,x41472,x41471),f326(f326(f40(x41472,f922(x41471,a910)),x41474),x41473))
% 178.46/178.24 [4156]E(f326(f326(f3(f922(x41561,a910)),f326(f326(f3(f922(x41561,a910)),x41562),x41563)),f326(f326(f308(x41561),x41564),f188(f922(x41561,a910)))),f326(f326(f3(f922(x41561,a910)),x41562),f326(f326(f308(x41561),x41564),x41563)))
% 178.46/178.24 [4169]E(f326(f326(f183(f922(x41691,x41692),f922(x41691,x41692)),x41693),f72(x41692,x41692,x41691,x41694)),f72(x41692,x41692,x41691,f326(f326(f183(x41692,x41692),x41693),x41694)))
% 178.46/178.24 [4242]E(f326(f326(f326(f183(f915(x42421),f915(x42421)),x42422),f167(x42421)),f326(f326(f326(f183(f915(x42421),f915(x42421)),x42423),f167(x42421)),x42424)),f326(f326(f326(f183(f915(x42421),f915(x42421)),f326(f326(f79(a914),x42422),x42423)),f167(x42421)),x42424))
% 178.46/178.24 [4327]P106(f326(f326(f234(f922(x43271,a910)),f326(f172(x43271),f326(f326(f159(x43271,x43272),x43273),x43274))),f326(f326(f308(x43271),x43274),f326(f172(x43271),x43272))))
% 178.46/178.24 [4359]E(f326(f326(f40(f922(x43591,a910),f922(f921(x43591,x43592),a910)),x43593),f326(f326(f9(f922(x43591,a910),f922(x43591,f922(x43592,a910)),f922(f921(x43591,x43592),a910)),f253(x43591,x43592)),x43594)),f326(f326(f253(x43591,x43592),f37(f922(x43591,a910),x43593)),x43594))
% 178.46/178.24 [4389]P23(x43891,x43892,f326(f326(f308(f913(x43891)),f326(f326(f326(f90(x43891),x43893),x43894),f326(f18(f922(a912,a910),x43891),f326(f18(a910,a912),a187)))),f188(f922(f913(x43891),a910))))
% 178.46/178.24 [4398]E(f209(x43981,x43982,x43983,f326(f72(x43982,f922(a99,f922(a99,f922(f921(a99,a99),f922(a99,f916(x43982))))),x43981,f208(x43982)),x43984)),f210(x43981,x43982,x43984,x43983))
% 178.46/178.24 [4413]E(f205(x44131,x44132,x44133,f326(f72(x44132,f922(a99,f922(a99,f922(f921(a99,a99),f922(a99,f916(f918(x44132)))))),x44131,f204(x44132)),x44134)),f206(x44131,x44132,x44134,x44133))
% 178.46/178.24 [4418]P106(f326(f66(x44181,x44182,x44183,x44184,f188(f922(x44181,a910))),x44184))
% 178.46/178.24 [4457]E(f326(f326(f40(x44571,f922(x44572,a910)),x44573),f326(f326(f9(x44571,f922(x44572,a910),f922(x44572,a910)),f326(f326(f10(x44572,f922(f922(x44572,a910),f922(x44572,a910)),x44571),f308(x44572)),x44574)),f188(f922(x44572,a910)))),f326(f309(x44571,x44572,x44574),x44573))
% 178.46/178.24 [4464]P106(f326(f326(f234(f922(x44641,a910)),f326(f283(x44642,x44641),f326(f326(f101(f922(f921(x44642,x44641),a910)),x44643),x44644))),f326(f326(f101(f922(x44641,a910)),f326(f283(x44642,x44641),x44643)),f326(f283(x44642,x44641),x44644))))
% 178.46/178.24 [4465]P106(f326(f326(f234(f922(x44651,a910)),f326(f263(x44651,x44652),f326(f326(f101(f922(f921(x44651,x44652),a910)),x44653),x44654))),f326(f326(f101(f922(x44651,a910)),f326(f263(x44651,x44652),x44653)),f326(f263(x44651,x44652),x44654))))
% 178.46/178.24 [4499]P23(x44991,x44992,f326(f326(f308(f913(x44991)),f326(f326(f326(f90(x44991),f326(f18(f922(a912,a910),x44991),f326(f18(a910,a912),a238))),x44993),x44994)),f188(f922(f913(x44991),a910))))
% 178.46/178.24 [4526]P106(f326(f326(f234(f922(f921(x45261,x45262),a910)),f326(f309(x45262,f921(x45261,x45262),f330(x45263,x45264,x45261,x45262)),f326(f326(f40(x45261,f922(x45262,a910)),x45264),x45263))),f326(f326(f253(x45261,x45262),x45264),x45263)))
% 178.46/178.24 [4527]E(f326(f118(x45271,f921(x45271,x45272),x45273),f326(f326(f10(f922(x45272,f916(f921(x45271,x45272))),f916(f921(x45271,x45272)),x45271),f118(x45272,f921(x45271,x45272),x45274)),f326(f326(f10(f922(x45272,f921(x45271,x45272)),f922(x45272,f916(f921(x45271,x45272))),x45271),f326(f10(f921(x45271,x45272),f916(f921(x45271,x45272)),x45272),f129(f921(x45271,x45272)))),f251(x45271,x45272)))),f131(x45271,x45272,x45273,x45274))
% 178.46/178.24 [4528]E(f275(x45281,x45282,x45283,f326(f72(x45282,f922(a99,f922(a99,f922(f921(a99,a99),f921(f922(a99,f922(a910,f918(f916(x45282)))),f921(a99,a99))))),x45281,f277(x45282)),x45284)),f278(x45281,x45282,x45284,x45283))
% 178.46/178.24 [4568]E(f84(f921(x45681,x45682),f326(f256(x45681,x45682,a910),f326(f326(f9(x45681,f922(x45682,a910),f922(x45682,a910)),f326(f326(f10(f922(a910,a910),f922(f922(x45682,a910),f922(x45682,a910)),x45681),f10(a910,a910,x45682)),f326(f326(f10(a910,f922(a910,a910),x45681),a325),f326(a323,x45683)))),f326(a323,x45684)))),f326(f326(f251(x45681,x45682),x45683),x45684))
% 178.46/178.24 [4569]E(f89(f921(x45691,x45692),f326(f256(x45691,x45692,a910),f326(f326(f9(x45691,f922(x45692,a910),f922(x45692,a910)),f326(f326(f10(f922(a910,a910),f922(f922(x45692,a910),f922(x45692,a910)),x45691),f10(a910,a910,x45692)),f326(f326(f10(a910,f922(a910,a910),x45691),a325),f326(a323,x45693)))),f326(a323,x45694)))),f326(f326(f251(x45691,x45692),x45693),x45694))
% 178.46/178.24 [4640]E(f326(f326(f256(f915(x46401),f915(x46401),f921(f915(x46401),f915(x46401))),f326(f326(f20(f915(x46401),f922(f915(x46401),f921(f915(x46401),f915(x46401))),f922(f915(x46401),f921(f915(x46401),f915(x46401)))),f326(f326(f10(f922(f915(x46401),f922(f921(f915(x46401),f915(x46401)),f921(f915(x46401),f915(x46401)))),f922(f922(f915(x46401),f921(f915(x46401),f915(x46401))),f922(f915(x46401),f921(f915(x46401),f915(x46401)))),f915(x46401)),f20(f915(x46401),f921(f915(x46401),f915(x46401)),f921(f915(x46401),f915(x46401)))),f326(f326(f10(f922(f915(x46401),f921(f915(x46401),f915(x46401))),f922(f915(x46401),f922(f921(f915(x46401),f915(x46401)),f921(f915(x46401),f915(x46401)))),f915(x46401)),f326(f10(f921(f915(x46401),f915(x46401)),f922(f921(f915(x46401),f915(x46401)),f921(f915(x46401),f915(x46401))),f915(x46401)),f326(f96(f921(f915(x46401),f915(x46401))),f326(x46402,x46403)))),f326(f326(f10(f915(x46401),f922(f915(x46401),f921(f915(x46401),f915(x46401))),f915(x46401)),f251(f915(x46401),f915(x46401))),f326(f151(x46401),x46403))))),f326(f326(f9(f915(x46401),f922(f915(x46401),f915(x46401)),f922(f915(x46401),f921(f915(x46401),f915(x46401)))),f326(f326(f10(f922(f915(x46401),f921(f915(x46401),f915(x46401))),f922(f922(f915(x46401),f915(x46401)),f922(f915(x46401),f921(f915(x46401),f915(x46401)))),f915(x46401)),f10(f915(x46401),f921(f915(x46401),f915(x46401)),f915(x46401))),f251(f915(x46401),f915(x46401)))),f326(f151(x46401),x46403)))),f166(x46401,x46402,x46404)),f166(x46401,x46402,f326(f326(f151(x46401),x46403),x46404)))
% 178.46/178.24 [3757]E(f326(f189(f913(x37571)),f326(f326(f326(f90(x37571),x37572),x37573),x37574)),f2(a914))
% 178.46/178.24 [3880]E(f326(f326(f175(x38801),x38802),f326(f326(f175(x38801),x38803),x38804)),f326(f326(f175(x38801),f326(f326(f232(a914),x38802),x38803)),x38804))
% 178.46/178.24 [3881]E(f326(f326(f138(x38811),x38812),f326(f326(f138(x38811),x38813),x38814)),f326(f326(f138(x38811),f326(f326(f79(a914),x38812),x38813)),x38814))
% 178.46/178.24 [3892]E(f326(f326(f134(x38921),f326(f326(f151(x38921),x38922),x38923)),x38924),f326(f326(f151(x38921),x38922),f326(f326(f134(x38921),x38923),x38924)))
% 178.46/178.24 [3893]E(f326(f326(f134(x38931),f326(f326(f134(x38931),x38932),x38933)),x38934),f326(f326(f134(x38931),x38932),f326(f326(f134(x38931),x38933),x38934)))
% 178.46/178.24 [3975]E(f326(f326(f164(x39751),f326(f326(f151(x39751),x39752),x39753)),x39754),f185(x39751,x39752,f326(f164(x39751),x39753),x39754))
% 178.46/178.24 [3984]E(f326(f326(f183(x39841,x39841),x39842),f326(f326(f183(x39841,x39841),x39843),x39844)),f326(f326(f183(x39841,x39841),f326(f326(f80(a914),x39843),x39842)),x39844))
% 178.46/178.24 [4013]E(f326(f326(f110(f922(x40131,a910)),x40132),f326(f326(f308(x40131),x40133),x40134)),f326(f326(f308(x40131),x40133),f326(f326(f110(f922(x40131,a910)),x40132),x40134)))
% 178.46/178.24 [4028]E(f326(f326(f326(f183(x40281,x40281),x40282),x40283),f326(x40283,x40284)),f326(x40283,f326(f326(f326(f183(x40281,x40281),x40282),x40283),x40284)))
% 178.46/178.24 [4037]E(f326(f326(f288(x40371,x40372,x40373),f188(f922(f921(x40371,x40372),a910))),x40374),f188(f922(f921(x40371,x40373),a910)))
% 178.46/178.24 [4052]E(f326(f326(f110(f922(x40521,a910)),f326(f326(f308(x40521),x40522),x40523)),x40524),f326(f326(f308(x40521),x40522),f326(f326(f110(f922(x40521,a910)),x40523),x40524)))
% 178.46/178.24 [4071]E(f326(f35(f921(x40711,x40712)),f326(f326(f253(x40711,x40712),x40713),f326(f18(f922(x40712,a910),x40711),x40714))),f326(f326(f80(a914),f326(f35(x40711),x40713)),f326(f35(x40712),x40714)))
% 178.46/178.24 [4078]E(f326(f326(f101(f922(x40781,a910)),f326(f326(f308(x40781),x40782),x40783)),f326(f326(f308(x40781),x40782),x40784)),f326(f326(f308(x40781),x40782),f326(f326(f101(f922(x40781,a910)),x40783),x40784)))
% 178.46/178.24 [4091]E(f326(f326(f110(f922(x40911,a910)),x40912),f326(f326(f110(f922(x40911,a910)),x40913),x40914)),f326(f326(f110(f922(x40911,a910)),x40913),f326(f326(f110(f922(x40911,a910)),x40912),x40914)))
% 178.46/178.24 [4092]E(f326(f326(f101(f922(x40921,a910)),x40922),f326(f326(f101(f922(x40921,a910)),x40923),x40924)),f326(f326(f101(f922(x40921,a910)),x40923),f326(f326(f101(f922(x40921,a910)),x40922),x40924)))
% 178.46/178.24 [4102]E(f64(x41021,x41022,f326(f326(f10(x41022,f922(x41022,x41022),x41021),x41023),x41024)),f326(f65(x41022,x41021,x41023),x41024))
% 178.46/178.24 [4111]E(f179(x41111,f326(f326(f154(f915(x41112),f915(x41111)),f326(f154(x41112,x41111),x41113)),x41114)),f326(f326(f154(f915(x41112),f915(x41111)),f326(f154(x41112,x41111),x41113)),f179(x41112,x41114)))
% 178.46/178.24 [4130]E(f326(f142(f915(x41301),f915(x41301),f134(x41301),f113(x41301)),f326(f326(f154(x41302,f915(x41301)),x41303),x41304)),f163(x41302,x41301,x41303,x41304))
% 178.46/178.24 [4189]E(f326(f72(x41891,x41891,x41891,f326(f326(f183(x41891,x41891),x41892),x41893)),f326(f326(f183(x41891,x41891),x41894),x41893)),f326(f326(f183(x41891,x41891),f326(f326(f79(a914),x41892),x41894)),x41893))
% 178.46/178.24 [4212]E(f326(f326(f101(f922(x42121,a910)),f326(f326(f110(f922(x42121,a910)),x42122),x42123)),f326(f326(f110(f922(x42121,a910)),x42122),x42124)),f326(f326(f110(f922(x42121,a910)),x42122),f326(f326(f101(f922(x42121,a910)),x42123),x42124)))
% 178.46/178.24 [4213]E(f326(f326(f101(f922(x42131,a910)),f326(f326(f3(f922(x42131,a910)),x42132),x42133)),f326(f326(f3(f922(x42131,a910)),x42132),x42134)),f326(f326(f3(f922(x42131,a910)),x42132),f326(f326(f110(f922(x42131,a910)),x42133),x42134)))
% 178.46/178.24 [4214]E(f326(f326(f110(f922(x42141,a910)),f326(f326(f3(f922(x42141,a910)),x42142),x42143)),f326(f326(f3(f922(x42141,a910)),x42142),x42144)),f326(f326(f3(f922(x42141,a910)),x42142),f326(f326(f101(f922(x42141,a910)),x42143),x42144)))
% 178.46/178.24 [4215]E(f326(f326(f110(f922(x42151,a910)),f326(f326(f101(f922(x42151,a910)),x42152),x42153)),f326(f326(f101(f922(x42151,a910)),x42152),x42154)),f326(f326(f101(f922(x42151,a910)),x42152),f326(f326(f110(f922(x42151,a910)),x42153),x42154)))
% 178.46/178.24 [4216]E(f326(f326(f3(f922(x42161,a910)),f326(f326(f101(f922(x42161,a910)),x42162),x42163)),f326(f326(f101(f922(x42161,a910)),x42162),x42164)),f326(f326(f101(f922(x42161,a910)),x42162),f326(f326(f3(f922(x42161,a910)),x42163),x42164)))
% 178.46/178.24 [4221]E(f326(f35(f921(x42211,x42212)),f326(f326(f253(x42211,x42212),f326(f326(f308(x42211),x42213),f188(f922(x42211,a910)))),f326(f18(f922(x42212,a910),x42211),x42214))),f326(f35(x42212),x42214))
% 178.46/178.24 [4256]E(f326(f326(f40(x42561,f922(x42562,a910)),x42563),f326(f326(f10(f922(x42562,a910),f922(x42562,a910),x42561),f78(f922(x42562,a910))),x42564)),f326(f78(f922(x42562,a910)),f326(f326(f39(x42561,f922(x42562,a910)),x42563),x42564)))
% 178.46/178.24 [4257]E(f326(f326(f39(x42571,f922(x42572,a910)),x42573),f326(f326(f10(f922(x42572,a910),f922(x42572,a910),x42571),f78(f922(x42572,a910))),x42574)),f326(f78(f922(x42572,a910)),f326(f326(f40(x42571,f922(x42572,a910)),x42573),x42574)))
% 178.46/178.24 [4273]E(f326(f326(f288(x42731,x42731,x42731),f326(f326(f183(f921(x42731,x42731),a910),x42732),x42733)),f326(f326(f183(f921(x42731,x42731),a910),x42734),x42733)),f326(f326(f183(f921(x42731,x42731),a910),f326(f326(f79(a914),x42732),x42734)),x42733))
% 178.46/178.24 [4303]E(f326(f326(f39(x43031,f922(f922(x43032,a910),a910)),x43033),f326(f326(f10(f922(x43032,a910),f922(f922(x43032,a910),a910),x43031),f307(x43032)),x43034)),f326(f307(x43032),f326(f326(f39(x43031,f922(x43032,a910)),x43033),x43034)))
% 178.46/178.24 [4332]E(f326(f326(f39(f922(x43321,a910),f922(x43322,a910)),x43323),f326(f326(f9(f922(x43321,a910),f922(x43321,f922(x43322,a910)),f922(x43322,a910)),f39(x43321,f922(x43322,a910))),x43324)),f326(f326(f39(x43321,f922(x43322,a910)),f37(f922(x43321,a910),x43323)),x43324))
% 178.46/178.25 [4333]E(f326(f326(f40(f922(x43331,a910),f922(x43332,a910)),x43333),f326(f326(f9(f922(x43331,a910),f922(x43331,f922(x43332,a910)),f922(x43332,a910)),f40(x43331,f922(x43332,a910))),x43334)),f326(f326(f40(x43331,f922(x43332,a910)),f37(f922(x43331,a910),x43333)),x43334))
% 178.46/178.25 [4338]E(f326(f326(f154(x43381,x43382),x43383),f326(f142(f915(x43381),f915(x43381),f134(x43381),f113(x43381)),x43384)),f326(f142(f915(x43382),f915(x43382),f134(x43382),f113(x43382)),f326(f326(f154(f915(x43381),f915(x43382)),f326(f154(x43381,x43382),x43383)),x43384)))
% 178.46/178.25 [4340]E(f185(f915(x43401),f113(x43401),f326(f326(f10(f915(x43401),f915(x43401),a914),f326(f151(x43401),x43402)),f326(f326(f9(a914,f915(x43401),f915(x43401)),f175(x43401)),x43403)),x43404),f326(f326(f175(x43401),x43404),f326(f326(f151(x43401),x43402),x43403)))
% 178.46/178.25 [4378]P106(f326(f326(f234(f922(x43781,a910)),f326(f309(x43782,x43781,x43783),f326(f310(x43782,x43781,x43783),x43784))),x43784))
% 178.46/178.25 [4380]E(f326(f309(f921(x43801,x43802),f921(x43802,x43801),f326(f256(x43801,x43802,f921(x43802,x43801)),f326(f9(x43802,x43801,f921(x43802,x43801)),f251(x43802,x43801)))),f326(f326(f253(x43801,x43802),x43803),f326(f18(f922(x43802,a910),x43801),x43804))),f326(f326(f253(x43802,x43801),x43804),f326(f18(f922(x43801,a910),x43802),x43803)))
% 178.46/178.25 [4390]E(f326(f326(f40(x43901,f922(x43902,a910)),x43903),f326(f326(f10(f922(x43901,a910),f922(x43902,a910),x43901),f284(x43901,x43902,x43904)),f326(f326(f9(x43901,f922(x43901,a910),f922(x43901,a910)),f308(x43901)),f188(f922(x43901,a910))))),f326(f284(x43901,x43902,x43904),x43903))
% 178.46/178.25 [4391]E(f326(f326(f40(x43911,f922(x43912,a910)),x43913),f326(f326(f10(f922(x43911,a910),f922(x43912,a910),x43911),f310(x43912,x43911,x43914)),f326(f326(f9(x43911,f922(x43911,a910),f922(x43911,a910)),f308(x43911)),f188(f922(x43911,a910))))),f326(f310(x43912,x43911,x43914),x43913))
% 178.46/178.25 [4478]E(f326(f326(f110(f922(x44781,a910)),f326(f326(f110(f922(x44781,a910)),f326(f326(f101(f922(x44781,a910)),x44782),x44783)),f326(f326(f101(f922(x44781,a910)),x44783),x44784))),f326(f326(f101(f922(x44781,a910)),x44784),x44782)),f326(f326(f101(f922(x44781,a910)),f326(f326(f101(f922(x44781,a910)),f326(f326(f110(f922(x44781,a910)),x44782),x44783)),f326(f326(f110(f922(x44781,a910)),x44783),x44784))),f326(f326(f110(f922(x44781,a910)),x44784),x44782)))
% 178.46/178.25 [4542]E(f326(f142(f915(x45421),f915(x45421),f134(x45421),f113(x45421)),f326(f326(f154(x45422,f915(x45421)),f326(f326(f9(x45422,f915(x45421),f915(x45421)),f326(f326(f10(x45421,f922(f915(x45421),f915(x45421)),x45422),f151(x45421)),x45423)),f113(x45421))),x45424)),f326(f326(f154(x45422,x45421),x45423),x45424))
% 178.46/178.25 [4552]E(f326(f326(f85(a1,x45521),f326(f103(a1),f326(f326(f79(a1),x45522),a97))),f326(f326(f20(a1,x45521,x45521),f326(f326(f9(a1,x45521,f922(x45521,x45521)),f326(f326(f10(a910,f922(x45521,f922(x45521,x45521)),a1),f96(x45521)),a193)),x45523)),f326(f326(f10(a914,x45521,a1),x45524),a104))),f185(x45521,x45523,x45524,f326(f103(a914),x45522)))
% 178.46/178.25 [4583]E(f326(f261(x45831),f326(f326(f10(f922(x45832,a910),a910,x45831),f86(x45832)),f326(f326(f10(f922(x45832,a910),f922(x45832,a910),x45831),f326(f20(x45832,a910,a910),f326(f326(f10(a910,f922(a910,a910),x45832),a325),f326(f326(f9(x45832,f922(x45832,a910),a910),f328(x45832)),x45833)))),f326(f9(x45832,x45831,a910),x45834)))),f326(f284(x45832,x45831,f326(f261(f921(x45832,x45831)),f326(f256(x45832,x45831,a910),x45834))),x45833))
% 178.46/178.25 [4738]~P106(f326(f326(f188(f922(x47381,f922(x47382,a910))),x47383),x47384))
% 178.46/178.25 [4040]E(f326(f326(f164(x40401),f326(f326(f134(x40401),x40402),x40403)),f326(f326(f79(a914),f326(f189(f915(x40401)),x40402)),x40404)),f326(f326(f164(x40401),x40403),x40404))
% 178.46/178.25 [4045]E(f326(f326(f138(x40451),x40452),f326(f326(f175(x40451),f326(f326(f79(a914),x40453),x40452)),x40454)),f326(f326(f175(x40451),x40453),f326(f326(f138(x40451),x40452),x40454)))
% 178.46/178.25 [4144]E(f326(f326(f110(f922(x41441,a910)),f326(f283(x41442,x41441),x41443)),f326(f283(x41442,x41441),x41444)),f326(f283(x41442,x41441),f326(f326(f110(f922(f921(x41442,x41441),a910)),x41443),x41444)))
% 178.46/178.25 [4145]E(f326(f326(f110(f922(x41451,a910)),f326(f263(x41451,x41452),x41453)),f326(f263(x41451,x41452),x41454)),f326(f263(x41451,x41452),f326(f326(f110(f922(f921(x41451,x41452),a910)),x41453),x41454)))
% 178.46/178.25 [4150]E(f326(f326(f110(f922(x41501,a910)),f326(f326(f110(f922(x41501,a910)),x41502),x41503)),x41504),f326(f326(f110(f922(x41501,a910)),x41502),f326(f326(f110(f922(x41501,a910)),x41503),x41504)))
% 178.46/178.25 [4151]E(f326(f326(f3(f922(x41511,a910)),f326(f326(f101(f922(x41511,a910)),x41512),x41513)),x41514),f326(f326(f101(f922(x41511,a910)),x41512),f326(f326(f3(f922(x41511,a910)),x41513),x41514)))
% 178.46/178.25 [4152]E(f326(f326(f101(f922(x41521,a910)),f326(f326(f101(f922(x41521,a910)),x41522),x41523)),x41524),f326(f326(f101(f922(x41521,a910)),x41522),f326(f326(f101(f922(x41521,a910)),x41523),x41524)))
% 178.46/178.25 [4191]E(f326(f326(f110(f922(f921(x41911,x41912),a910)),f326(f285(x41912,x41911),x41913)),f326(f285(x41912,x41911),x41914)),f326(f285(x41912,x41911),f326(f326(f110(f922(f921(x41912,x41911),a910)),x41913),x41914)))
% 178.46/178.25 [4192]E(f326(f326(f101(f922(f921(x41921,x41922),a910)),f326(f285(x41922,x41921),x41923)),f326(f285(x41922,x41921),x41924)),f326(f285(x41922,x41921),f326(f326(f101(f922(f921(x41922,x41921),a910)),x41923),x41924)))
% 178.46/178.25 [4205]E(f326(f326(f110(f922(x42051,f922(x42052,a910))),f242(x42052,x42051,x42053)),f242(x42052,x42051,x42054)),f242(x42052,x42051,f326(f326(f110(f922(x42052,f922(x42051,a910))),x42053),x42054)))
% 178.46/178.25 [4206]E(f326(f326(f101(f922(x42061,f922(x42062,a910))),f242(x42062,x42061,x42063)),f242(x42062,x42061,x42064)),f242(x42062,x42061,f326(f326(f101(f922(x42062,f922(x42061,a910))),x42063),x42064)))
% 178.46/178.25 [4260]E(f326(f326(f101(f922(x42601,a910)),f326(f326(f110(f922(x42601,a910)),x42602),x42603)),f326(f326(f110(f922(x42601,a910)),x42604),x42603)),f326(f326(f110(f922(x42601,a910)),f326(f326(f101(f922(x42601,a910)),x42602),x42604)),x42603))
% 178.46/178.25 [4261]E(f326(f326(f110(f922(x42611,a910)),f326(f326(f3(f922(x42611,a910)),x42612),x42613)),f326(f326(f3(f922(x42611,a910)),x42614),x42613)),f326(f326(f3(f922(x42611,a910)),f326(f326(f110(f922(x42611,a910)),x42612),x42614)),x42613))
% 178.46/178.25 [4262]E(f326(f326(f110(f922(x42621,a910)),f326(f326(f101(f922(x42621,a910)),x42622),x42623)),f326(f326(f101(f922(x42621,a910)),x42624),x42623)),f326(f326(f101(f922(x42621,a910)),f326(f326(f110(f922(x42621,a910)),x42622),x42624)),x42623))
% 178.46/178.25 [4263]E(f326(f326(f3(f922(x42631,a910)),f326(f326(f101(f922(x42631,a910)),x42632),x42633)),f326(f326(f101(f922(x42631,a910)),x42634),x42633)),f326(f326(f101(f922(x42631,a910)),f326(f326(f3(f922(x42631,a910)),x42632),x42634)),x42633))
% 178.46/178.25 [4264]E(f326(f326(f3(f922(x42641,a910)),f326(f326(f101(f922(x42641,a910)),x42642),x42643)),f326(f326(f101(f922(x42641,a910)),x42644),x42643)),f326(f326(f3(f922(x42641,a910)),f326(f326(f101(f922(x42641,a910)),x42642),x42643)),x42644))
% 178.46/178.25 [4276]E(f326(f326(f3(f922(x42761,a910)),f326(f326(f3(f922(x42761,a910)),x42762),f326(f326(f308(x42761),x42763),f188(f922(x42761,a910))))),x42764),f326(f326(f3(f922(x42761,a910)),x42762),f326(f326(f308(x42761),x42763),x42764)))
% 178.46/178.25 [4329]E(f326(f326(f110(f922(x43291,a910)),f326(f326(f308(x43291),x43292),f326(f326(f308(x43291),x43293),f188(f922(x43291,a910))))),f326(f280(x43291),x43294)),f326(f280(x43291),f326(f326(f308(f921(x43291,x43291)),f326(f326(f251(x43291,x43291),x43292),x43293)),x43294)))
% 178.46/178.25 [4354]E(f326(f326(f40(a914,f922(x43541,a910)),f326(f300(a914),x43542)),f326(f326(f10(a914,f922(x43541,a910),a914),x43543),f326(f326(f9(a914,a914,a914),f79(a914)),x43544))),f326(f326(f40(a914,f922(x43541,a910)),f302(a914,x43544,f326(f326(f79(a914),x43542),x43544))),x43543))
% 178.46/178.25 [4355]E(f174(x43551,f326(f284(x43551,x43551,x43552),f326(f326(f308(x43551),x43553),f188(f922(x43551,a910)))),f326(f284(f915(x43551),f915(x43551),f158(x43551,x43552)),f326(f326(f308(f915(x43551)),x43554),f188(f922(f915(x43551),a910))))),f326(f284(f915(x43551),f915(x43551),f158(x43551,x43552)),f326(f326(f308(f915(x43551)),f326(f326(f151(x43551),x43553),x43554)),f188(f922(f915(x43551),a910)))))
% 178.46/178.25 [4420]E(f326(f261(x44201),f326(f326(f9(x44201,f922(x44202,a910),a910),f326(f326(f10(x44202,f922(f922(x44202,a910),a910),x44201),f328(x44202)),x44203)),x44204)),f326(f310(x44201,x44202,x44203),x44204))
% 178.46/178.25 [4511]E(f326(f261(x45111),f326(f326(f9(x45111,f922(f921(x45112,x45111),a910),a910),f326(f326(f10(f921(x45112,x45111),f922(f922(f921(x45112,x45111),a910),a910),x45111),f328(f921(x45112,x45111))),f326(f251(x45112,x45111),x45113))),x45114)),f326(f284(x45112,x45111,x45114),f326(f326(f308(x45112),x45113),f188(f922(x45112,a910)))))
% 178.46/178.25 [4525]E(f326(f326(f154(f921(x45251,a914),x45251),f250(x45251,a914)),f326(f136(f921(x45251,a914),f326(f326(f10(a914,a910,f921(x45251,a914)),x45252),f326(f326(f10(a914,a914,f921(x45251,a914)),a112),f255(x45251,a914)))),f326(f326(f181(x45251,a914),x45253),x45254))),f326(f326(f154(f921(x45251,a914),x45251),f250(x45251,a914)),f326(f136(f921(x45251,a914),f326(f326(f10(a914,a910,f921(x45251,a914)),x45252),f255(x45251,a914))),f326(f326(f181(x45251,a914),x45253),f326(f326(f154(a914,a914),a112),x45254)))))
% 178.46/178.25 [4534]P106(f326(f326(f234(f922(f922(x45341,a910),a910)),f326(f326(f40(x45342,f922(f922(x45341,a910),a910)),x45343),f326(f326(f10(f922(x45341,a910),f922(f922(x45341,a910),a910),x45342),f307(x45341)),x45344))),f326(f307(x45341),f326(f326(f40(x45342,f922(x45341,a910)),x45343),x45344))))
% 178.46/178.25 [4575]E(f326(f326(f85(a1,x45751),f326(f103(a1),f326(f326(f79(a1),x45752),a97))),f326(f326(f20(a1,x45751,x45751),f326(f326(f9(a1,x45751,f922(x45751,x45751)),f326(f326(f10(a910,f922(x45751,f922(x45751,x45751)),a1),f96(x45751)),a193)),x45753)),f326(f326(f20(a1,x45751,x45751),f326(f326(f10(a914,f922(x45751,x45751),a1),x45754),a104)),f326(f326(f10(a914,x45751,a1),f184(x45751,x45753,x45754)),a104)))),f326(f184(x45751,x45753,x45754),f326(f103(a914),x45752)))
% 178.46/178.25 [4599]E(f326(f261(f921(x45991,x45992)),f326(f256(x45991,x45992,a910),f326(f326(f9(x45991,f922(x45992,a910),f922(x45992,a910)),f326(f326(f10(f922(a910,a910),f922(f922(x45992,a910),f922(x45992,a910)),x45991),f10(a910,a910,x45992)),f326(f326(f10(a910,f922(a910,a910),x45991),a325),f326(f326(f9(x45991,f922(x45991,a910),a910),f328(x45991)),x45993)))),f326(f326(f9(x45992,f922(x45992,a910),a910),f328(x45992)),x45994)))),f229(x45991,x45992,x45993,x45994))
% 178.46/178.25 [4635]E(f326(f326(f40(x46351,f922(f921(x46351,x46352),a910)),x46353),f326(f326(f20(x46351,f922(x46352,f922(f921(x46351,x46352),a910)),f922(f921(x46351,x46352),a910)),f326(f326(f10(f922(x46352,a910),f922(f922(x46352,f922(f921(x46351,x46352),a910)),f922(f921(x46351,x46352),a910)),x46351),f40(x46352,f922(f921(x46351,x46352),a910))),x46354)),f326(f326(f9(x46351,f922(f921(x46351,x46352),a910),f922(x46352,f922(f921(x46351,x46352),a910))),f326(f326(f10(f922(x46352,f922(f922(f921(x46351,x46352),a910),f922(f921(x46351,x46352),a910))),f922(f922(f921(x46351,x46352),a910),f922(x46352,f922(f921(x46351,x46352),a910))),x46351),f9(x46352,f922(f921(x46351,x46352),a910),f922(f921(x46351,x46352),a910))),f326(f326(f10(f922(x46352,f921(x46351,x46352)),f922(x46352,f922(f922(f921(x46351,x46352),a910),f922(f921(x46351,x46352),a910))),x46351),f326(f10(f921(x46351,x46352),f922(f922(f921(x46351,x46352),a910),f922(f921(x46351,x46352),a910)),x46352),f308(f921(x46351,x46352)))),f251(x46351,x46352)))),f188(f922(f921(x46351,x46352),a910))))),f326(f326(f253(x46351,x46352),x46353),x46354))
% 178.46/178.25 [4200]E(f326(f326(f134(x42001),f326(f326(f175(x42001),x42002),x42003)),f326(f326(f175(x42001),f326(f326(f3(a914),x42002),f326(f189(f915(x42001)),x42003))),x42004)),f326(f326(f175(x42001),x42002),f326(f326(f134(x42001),x42003),x42004)))
% 178.46/178.25 [4201]E(f326(f326(f134(x42011),f326(f326(f138(x42011),x42012),x42013)),f326(f326(f138(x42011),f326(f326(f3(a914),x42012),f326(f189(f915(x42011)),x42013))),x42014)),f326(f326(f138(x42011),x42012),f326(f326(f134(x42011),x42013),x42014)))
% 178.46/178.25 [4250]E(f326(f326(f79(a914),f326(f326(f80(a914),x42501),x42502)),f326(f326(f79(a914),f326(f326(f80(a914),x42503),x42502)),x42504)),f326(f326(f79(a914),f326(f326(f80(a914),f326(f326(f79(a914),x42501),x42503)),x42502)),x42504))
% 178.46/178.25 [4396]E(f89(x43961,f326(f326(f9(x43961,x43962,a910),f326(f326(f10(x43962,f922(x43962,a910),x43961),a323),x43963)),x43964)),f326(f91(x43961,x43962,f241(f922(x43961,a910)),x43963),x43964))
% 178.46/178.25 [4444]P106(f326(f326(f234(f922(x44441,a910)),f326(f326(f3(f922(x44441,a910)),f326(f283(x44442,x44441),x44443)),f326(f283(x44442,x44441),x44444))),f326(f283(x44442,x44441),f326(f326(f3(f922(f921(x44442,x44441),a910)),x44443),x44444))))
% 178.46/178.25 [4445]P106(f326(f326(f234(f922(x44451,a910)),f326(f326(f3(f922(x44451,a910)),f326(f263(x44451,x44452),x44453)),f326(f263(x44451,x44452),x44454))),f326(f263(x44451,x44452),f326(f326(f3(f922(f921(x44451,x44452),a910)),x44453),x44454))))
% 178.46/178.25 [4554]E(f326(f326(f79(a1),f326(a88,f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),f326(f326(f251(a914,a914),x45541),x45542)),f188(f922(f921(a914,a914),a910)))))),f326(a88,f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),f326(f326(f251(a914,a914),x45543),x45544)),f188(f922(f921(a914,a914),a910)))))),f326(a88,f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),f326(f326(f251(a914,a914),f326(f326(f79(a914),x45541),x45543)),f326(f326(f79(a914),x45542),x45544))),f188(f922(f921(a914,a914),a910))))))
% 178.46/178.25 [4594]E(f326(f326(f80(a1),f326(a88,f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),f326(f326(f251(a914,a914),x45941),x45942)),f188(f922(f921(a914,a914),a910)))))),f326(a88,f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),f326(f326(f251(a914,a914),x45943),x45944)),f188(f922(f921(a914,a914),a910)))))),f326(a88,f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),f326(f326(f251(a914,a914),f326(f326(f79(a914),f326(f326(f80(a914),x45941),x45943)),f326(f326(f80(a914),x45942),x45944))),f326(f326(f79(a914),f326(f326(f80(a914),x45941),x45944)),f326(f326(f80(a914),x45942),x45943)))),f188(f922(f921(a914,a914),a910))))))
% 178.46/178.25 [4615]E(f326(f261(x46151),f326(f326(f10(f922(x46152,a910),a910,x46151),f87(x46152)),f326(f326(f10(f922(x46152,a910),f922(x46152,a910),x46151),f326(f20(x46152,a910,a910),f326(f326(f10(a910,f922(a910,a910),x46152),a329),f326(f326(f9(x46152,f922(x46152,a910),a910),f328(x46152)),x46153)))),f326(f326(f9(x46151,f922(x46152,f922(x46151,a910)),f922(x46152,a910)),f326(f326(f10(f922(f922(x46151,a910),a910),f922(f922(x46152,f922(x46151,a910)),f922(x46152,a910)),x46151),f10(f922(x46151,a910),a910,x46152)),f328(x46151))),x46154)))),f326(f326(f39(x46152,f922(x46151,a910)),x46153),x46154))
% 178.46/178.25 [4648]E(f326(f326(f288(x46481,x46481,x46481),f326(f326(f308(f921(x46481,x46481)),f326(f326(f251(x46481,x46481),x46482),x46483)),x46484)),f306(x46481,f326(f326(f308(f921(x46481,x46481)),f326(f326(f251(x46481,x46481),x46482),x46483)),x46484))),f326(f326(f110(f922(f921(x46481,x46481),a910)),f326(f326(f288(x46481,x46481,x46481),x46484),f306(x46481,x46484))),f326(f261(f921(x46481,x46481)),f326(f256(x46481,x46481,a910),f326(f326(f9(x46481,f922(x46481,a910),f922(x46481,a910)),f326(f326(f10(f922(a910,a910),f922(f922(x46481,a910),f922(x46481,a910)),x46481),f10(a910,a910,x46481)),f326(f326(f10(a910,f922(a910,a910),x46481),a325),f326(f326(f9(x46481,f922(f921(x46481,x46481),a910),a910),f326(f326(f10(f921(x46481,x46481),f922(f922(f921(x46481,x46481),a910),a910),x46481),f328(f921(x46481,x46481))),f326(f326(f9(x46481,x46481,f921(x46481,x46481)),f251(x46481,x46481)),x46482))),f306(x46481,x46484))))),f326(f326(f9(x46481,f922(f921(x46481,x46481),a910),a910),f326(f326(f10(f921(x46481,x46481),f922(f922(f921(x46481,x46481),a910),a910),x46481),f328(f921(x46481,x46481))),f326(f251(x46481,x46481),x46483))),f306(x46481,x46484)))))))
% 178.46/178.25 [4446]E(f326(f136(x44461,f326(f326(f20(x44461,a910,a910),f326(f326(f10(a910,f922(a910,a910),x44461),a325),x44462)),x44463)),x44464),f326(f136(x44461,x44463),f326(f136(x44461,x44462),x44464)))
% 178.46/178.25 [4548]E(f326(f326(f134(x45481),f326(f326(f326(f96(f915(x45481)),f326(f326(f328(a914),f2(a914)),x45482)),f326(f326(f151(x45481),x45483),f113(x45481))),f113(x45481))),f176(x45481,x45484,f326(f261(a914),f326(f326(f9(a914,f922(a914,a910),a910),f326(f326(f10(a914,f922(f922(a914,a910),a910),a914),f328(a914)),a112)),x45482)))),f176(x45481,f326(f326(f151(x45481),x45483),x45484),x45482))
% 178.46/178.25 [4644]E(f326(f261(f921(x46441,x46442)),f326(f326(f10(f922(a914,a910),a910,f921(x46441,x46442)),f86(a914)),f326(f326(f9(f921(x46441,x46442),f922(a914,a910),f922(a914,a910)),f326(f326(f10(f922(a914,f922(a910,a910)),f922(f922(a914,a910),f922(a914,a910)),f921(x46441,x46442)),f20(a914,a910,a910)),f326(f326(f10(f922(a914,a910),f922(a914,f922(a910,a910)),f921(x46441,x46442)),f326(f10(a910,f922(a910,a910),a914),a325)),f326(f326(f9(f921(x46441,x46442),f922(a914,f921(x46441,x46442)),f922(a914,a910)),f326(f326(f10(f922(f921(x46441,x46442),a910),f922(f922(a914,f921(x46441,x46442)),f922(a914,a910)),f921(x46441,x46442)),f10(f921(x46441,x46442),a910,a914)),a323)),f326(f326(f20(a914,x46442,f921(x46441,x46442)),f326(f326(f10(x46441,f922(x46442,f921(x46441,x46442)),a914),f251(x46441,x46442)),f326(f164(x46441),x46443))),f326(f164(x46442),x46444)))))),f326(f326(f9(a914,a914,a910),f235(a914)),f326(f326(f232(a914),f326(f189(f915(x46441)),x46443)),f326(f189(f915(x46442)),x46444)))))),f326(f172(f921(x46441,x46442)),f326(f326(f181(x46441,x46442),x46443),x46444)))
% 178.46/178.25 [4567]E(f326(f261(f921(x45671,x45672)),f326(f256(x45671,x45672,a910),f326(f326(f9(x45671,f922(x45672,a910),f922(x45672,a910)),f326(f326(f10(f922(a910,a910),f922(f922(x45672,a910),f922(x45672,a910)),x45671),f10(a910,a910,x45672)),f326(f326(f10(a910,f922(a910,a910),x45671),a325),x45673))),x45674))),f326(f326(f253(x45671,x45672),f326(f261(x45671),x45673)),f326(f18(f922(x45672,a910),x45671),f326(f261(x45672),x45674))))
% 178.46/178.25 [4570]E(f326(f261(f921(x45701,x45702)),f326(f256(x45701,x45702,a910),f326(f326(f20(x45701,f922(x45702,a910),f922(x45702,a910)),f326(f326(f10(f922(a910,a910),f922(f922(x45702,a910),f922(x45702,a910)),x45701),f10(a910,a910,x45702)),f326(f326(f10(a910,f922(a910,a910),x45701),a325),x45703))),x45704))),f326(f326(f253(x45701,x45702),f326(f261(x45701),x45703)),f326(f326(f10(f922(x45702,a910),f922(x45702,a910),x45701),f261(x45702)),x45704)))
% 178.46/178.25 [4582]E(f326(f261(x45821),f326(f326(f10(f922(x45822,a910),a910,x45821),f87(x45822)),f326(f326(f10(f922(x45822,a910),f922(x45822,a910),x45821),f326(f20(x45822,a910,a910),f326(f326(f10(a910,f922(a910,a910),x45822),a329),f326(f326(f9(x45822,f922(x45822,a910),a910),f328(x45822)),x45823)))),x45824))),f326(f326(f39(x45822,f922(x45821,a910)),x45823),f326(f326(f10(f922(x45821,a910),f922(x45821,a910),x45822),f261(x45821)),f326(f9(x45821,x45822,a910),x45824))))
% 178.46/178.25 [4627]E(f326(f326(f154(f921(x46271,a914),x46271),f250(x46271,a914)),f326(f136(f921(x46271,a914),f326(f326(f9(f921(x46271,a914),f922(a914,a910),a910),f326(f326(f10(a914,f922(f922(a914,a910),a910),f921(x46271,a914)),f328(a914)),f255(x46271,a914))),x46272)),f326(f326(f181(x46271,a914),x46273),f139(a914,f326(f301(a914,x46274),f326(f326(f79(a914),x46274),f326(f189(f915(x46271)),x46273))))))),f326(f326(f154(f921(x46271,a914),x46271),f250(x46271,a914)),f326(f136(f921(x46271,a914),f326(f326(f9(f921(x46271,a914),f922(a914,a910),a910),f326(f326(f10(a914,f922(f922(a914,a910),a910),f921(x46271,a914)),f328(a914)),f326(f326(f9(f921(x46271,a914),a914,a914),f326(f326(f10(a914,f922(a914,a914),f921(x46271,a914)),f79(a914)),f255(x46271,a914))),x46274))),x46272)),f326(f326(f181(x46271,a914),x46273),f139(a914,f326(f301(a914,f2(a914)),f326(f189(f915(x46271)),x46273)))))))
% 178.46/178.25 [4628]E(f326(a112,f326(f326(f233(a914),f326(f189(f915(x46281)),x46282)),f326(f142(a914,f915(x46283),f326(f9(f915(x46283),a914,a914),f326(f326(f10(a914,f922(a914,a914),f915(x46283)),f233(a914)),f326(f326(f9(f915(x46283),a914,a914),f326(f326(f10(a914,f922(a914,a914),f915(x46283)),f3(a914)),f189(f915(x46283)))),f326(a112,f2(a914))))),f2(a914)),f326(f168(f915(x46283)),f326(f136(f915(x46283),f326(f326(f10(a910,a910,f915(x46283)),a321),f326(f326(f9(f915(x46283),f915(x46283),a910),a323),f113(x46283)))),x46284))))),f326(f326(f233(a914),f326(a112,f326(f189(f915(x46281)),x46282))),f326(f142(a914,f915(x46283),f326(f9(f915(x46283),a914,a914),f326(f326(f10(a914,f922(a914,a914),f915(x46283)),f233(a914)),f189(f915(x46283)))),f2(a914)),f326(f168(f915(x46283)),x46284))))
% 178.46/178.25 [4581]E(f326(f326(f134(x45811),f176(x45811,x45812,x45813)),f176(x45811,x45814,f326(f261(a914),f326(f326(f9(a914,f922(a914,a910),a910),f326(f326(f10(a914,f922(f922(a914,a910),a910),a914),f328(a914)),f326(f326(f9(a914,a914,a914),f79(a914)),f326(f189(f915(x45811)),x45812)))),x45813)))),f176(x45811,f326(f326(f134(x45811),x45812),x45814),x45813))
% 178.46/178.25 [4629]E(f38(f922(x46291,a910),f326(f261(f922(x46291,a910)),f326(f326(f10(f922(x46292,a910),a910,f922(x46291,a910)),f86(x46292)),f326(f326(f10(f922(x46292,a910),f922(x46292,a910),f922(x46291,a910)),f326(f20(x46292,a910,a910),f326(f326(f10(a910,f922(a910,a910),x46292),a325),f326(f326(f9(x46292,f922(x46292,a910),a910),f328(x46292)),x46293)))),f326(f326(f9(f922(x46291,a910),f922(x46292,f922(x46291,a910)),f922(x46292,a910)),f326(f326(f10(f922(f922(x46291,a910),a910),f922(f922(x46292,f922(x46291,a910)),f922(x46292,a910)),f922(x46291,a910)),f10(f922(x46291,a910),a910,x46292)),a323)),x46294))))),f326(f326(f39(x46292,f922(x46291,a910)),x46293),x46294))
% 178.46/178.25 [4630]E(f37(f922(x46301,a910),f326(f261(f922(x46301,a910)),f326(f326(f10(f922(x46302,a910),a910,f922(x46301,a910)),f86(x46302)),f326(f326(f10(f922(x46302,a910),f922(x46302,a910),f922(x46301,a910)),f326(f20(x46302,a910,a910),f326(f326(f10(a910,f922(a910,a910),x46302),a325),f326(f326(f9(x46302,f922(x46302,a910),a910),f328(x46302)),x46303)))),f326(f326(f9(f922(x46301,a910),f922(x46302,f922(x46301,a910)),f922(x46302,a910)),f326(f326(f10(f922(f922(x46301,a910),a910),f922(f922(x46302,f922(x46301,a910)),f922(x46302,a910)),f922(x46301,a910)),f10(f922(x46301,a910),a910,x46302)),a323)),x46304))))),f326(f326(f40(x46302,f922(x46301,a910)),x46303),x46304))
% 178.46/178.25 [4637]E(f326(f326(f151(f915(x46371)),f326(f326(f151(x46371),x46372),f326(f142(f915(x46371),f915(x46371),f134(x46371),f113(x46371)),f326(f326(f154(f915(x46371),f915(x46371)),f156(f915(x46371),x46371,f113(x46371),f326(f326(f10(f915(x46371),f922(f915(x46371),f915(x46371)),x46371),f18(f915(x46371),f915(x46371))),f326(f326(f9(x46371,f915(x46371),f915(x46371)),f151(x46371)),f113(x46371))))),x46373)))),f179(x46371,f326(f326(f151(f915(x46371)),x46374),f326(f142(f915(f915(x46371)),f915(f915(x46371)),f134(f915(x46371)),f113(f915(x46371))),f326(f326(f154(f915(x46371),f915(f915(x46371))),f156(f915(f915(x46371)),x46371,f113(f915(x46371)),f326(f18(f922(f915(x46371),f915(f915(x46371))),x46371),f326(f326(f9(f915(x46371),f915(f915(x46371)),f915(f915(x46371))),f151(f915(x46371))),f113(f915(x46371)))))),x46373))))),f179(x46371,f326(f326(f151(f915(x46371)),f326(f326(f151(x46371),x46372),x46374)),x46373)))
% 178.46/178.25 [4645]E(f326(f261(f921(x46451,x46451)),f326(f256(x46451,x46451,a910),f326(f326(f9(x46451,f922(f921(x46452,x46452),a910),f922(x46451,a910)),f326(f326(f10(f922(x46451,f922(f922(f921(x46452,x46452),a910),a910)),f922(f922(f921(x46452,x46452),a910),f922(x46451,a910)),x46451),f9(x46451,f922(f921(x46452,x46452),a910),a910)),f326(f326(f10(f922(x46451,f921(x46452,x46452)),f922(x46451,f922(f922(f921(x46452,x46452),a910),a910)),x46451),f326(f10(f921(x46452,x46452),f922(f922(f921(x46452,x46452),a910),a910),x46451),f328(f921(x46452,x46452)))),f326(f326(f9(x46451,f922(x46451,x46452),f922(x46451,f921(x46452,x46452))),f326(f326(f10(f922(x46452,f921(x46452,x46452)),f922(f922(x46451,x46452),f922(x46451,f921(x46452,x46452))),x46451),f10(x46452,f921(x46452,x46452),x46451)),f326(f326(f10(x46452,f922(x46452,f921(x46452,x46452)),x46451),f251(x46452,x46452)),x46453))),x46453)))),x46454))),f326(f326(f287(x46452,x46451),x46454),x46453))
% 178.46/178.25 [4691]~E(f30(x46911,x46912),f27(x46913,x46914,x46915))
% 178.46/178.25 [4692]~E(f30(x46921,x46922),f26(x46923,x46924,x46925))
% 178.46/178.25 [4693]~E(f29(x46931,x46932),f27(x46933,x46934,x46935))
% 178.46/178.25 [4694]~E(f29(x46941,x46942),f26(x46943,x46944,x46945))
% 178.46/178.25 [4695]~E(f27(x46951,x46952,x46953),f30(x46954,x46955))
% 178.46/178.25 [4696]~E(f27(x46961,x46962,x46963),f29(x46964,x46965))
% 178.46/178.25 [4697]~E(f26(x46971,x46972,x46973),f30(x46974,x46975))
% 178.46/178.25 [4698]~E(f26(x46981,x46982,x46983),f29(x46984,x46985))
% 178.46/178.25 [3776]E(f326(f326(f154(x37761,x37762),x37763),f169(x37761,x37764,x37765)),f169(x37762,x37764,f326(x37763,x37765)))
% 178.46/178.25 [4112]E(f130(x41121,x41122,x41123,f126(x41121,x41124,x41125)),f126(x41122,f326(x41123,x41124),f130(x41121,x41122,x41123,x41125)))
% 178.46/178.25 [4344]E(f326(f74(x43441,x43442,x43443,x43444,x43445),x43444),x43445)
% 178.46/178.25 [4397]E(f252(x43971,x43972,x43973,f242(x43972,x43971,x43974),f242(x43973,x43972,x43975)),f242(x43973,x43971,f252(x43973,x43972,x43971,x43975,x43974)))
% 178.46/178.25 [3969]E(f326(f326(f256(x39691,x39692,x39693),x39694),x39695),f326(f326(x39694,f326(f250(x39691,x39692),x39695)),f326(f255(x39691,x39692),x39695)))
% 178.46/178.25 [4005]E(f326(f326(f326(f65(x40051,x40052,x40053),x40054),x40055),f188(f922(x40052,a910))),x40055)
% 178.46/178.25 [4284]E(f326(f72(f915(x42841),f915(x42842),f915(x42843),f326(f154(x42841,x42842),x42844)),f326(f154(x42843,x42841),x42845)),f326(f154(x42843,x42842),f326(f72(x42841,x42842,x42843,x42844),x42845)))
% 178.46/178.25 [4358]E(f84(x43581,f66(x43582,x43581,x43583,x43584,x43585)),f326(f326(f64(x43582,x43581,x43583),x43584),x43585))
% 178.46/178.25 [4393]E(f326(f326(f79(a914),f326(f326(f79(a914),f326(x43931,f326(f250(x43932,x43933),x43934))),f326(x43935,f326(f255(x43932,x43933),x43934)))),f326(a112,f2(a914))),f260(x43932,x43933,x43931,x43935,x43934))
% 178.46/178.25 [3905]E(f326(f326(f175(x39051),x39052),f326(f326(f154(x39053,x39051),x39054),x39055)),f326(f326(f154(x39053,x39051),x39054),f326(f326(f175(x39053),x39052),x39055)))
% 178.46/178.25 [3906]E(f326(f326(f138(x39061),x39062),f326(f326(f154(x39063,x39061),x39064),x39065)),f326(f326(f154(x39063,x39061),x39064),f326(f326(f138(x39063),x39062),x39065)))
% 178.46/178.25 [3938]E(f326(f326(f154(x39381,x39382),x39383),f326(f326(f151(x39381),x39384),x39385)),f326(f326(f151(x39382),f326(x39383,x39384)),f326(f326(f154(x39381,x39382),x39383),x39385)))
% 178.46/178.25 [3999]E(f326(f309(x39991,x39992,x39993),f326(f326(f308(x39991),x39994),x39995)),f326(f326(f308(x39992),f326(x39993,x39994)),f326(f309(x39991,x39992,x39993),x39995)))
% 178.46/178.25 [4029]E(f173(x40291,f326(f326(f151(x40291),x40292),x40293),f326(f326(f151(x40291),x40294),x40295)),f326(f326(f151(x40291),x40292),f326(f326(f151(x40291),x40294),f173(x40291,x40293,x40295))))
% 178.46/178.25 [4066]E(f326(f326(f181(x40661,x40662),f326(f326(f175(x40661),x40663),x40664)),f326(f326(f175(x40662),x40663),x40665)),f326(f326(f175(f921(x40661,x40662)),x40663),f326(f326(f181(x40661,x40662),x40664),x40665)))
% 178.46/178.25 [4067]E(f326(f326(f181(x40671,x40672),f326(f326(f138(x40671),x40673),x40674)),f326(f326(f138(x40672),x40673),x40675)),f326(f326(f138(f921(x40671,x40672)),x40673),f326(f326(f181(x40671,x40672),x40674),x40675)))
% 178.51/178.25 [4077]E(f326(f326(f159(x40771,f326(f326(f151(x40771),x40772),x40773)),f326(a112,x40774)),x40775),f326(f326(f151(x40771),x40772),f326(f326(f159(x40771,x40773),x40774),x40775)))
% 178.51/178.25 [4080]E(f326(f326(f134(x40801),f326(f326(f154(x40802,x40801),x40803),x40804)),f326(f326(f154(x40802,x40801),x40803),x40805)),f326(f326(f154(x40802,x40801),x40803),f326(f326(f134(x40802),x40804),x40805)))
% 178.51/178.25 [4084]E(f326(f326(x40841,x40842),f326(f326(f244(x40843,x40844,x40841),x40842),x40845)),f326(f326(f244(x40843,x40844,x40841),x40842),f326(a112,x40845)))
% 178.51/178.25 [4116]E(f163(x41161,x41162,x41163,f326(f326(f151(x41161),x41164),x41165)),f326(f326(f134(x41162),f326(x41163,x41164)),f163(x41161,x41162,x41163,x41165)))
% 178.51/178.25 [4128]E(f326(f326(f288(x41281,x41282,x41283),f326(f285(x41282,x41281),x41284)),f326(f285(x41283,x41282),x41285)),f326(f285(x41283,x41281),f326(f326(f288(x41283,x41282,x41281),x41285),x41284)))
% 178.51/178.25 [4160]E(f326(f326(f326(f183(f915(x41601),f915(x41601)),x41602),f167(x41601)),f326(f326(f154(x41603,x41601),x41604),x41605)),f326(f326(f154(x41603,x41601),x41604),f326(f326(f326(f183(f915(x41603),f915(x41603)),x41602),f167(x41603)),x41605)))
% 178.51/178.25 [4161]E(f326(f326(f258(x41611,x41612,x41611,x41613),f326(f251(x41612,x41611),x41614)),x41615),f326(x41615,x41614))
% 178.51/178.25 [4186]E(f155(x41861,x41862,f326(f326(f154(x41863,x41861),x41864),x41865)),f155(x41863,f326(f72(x41861,a914,x41863,x41862),x41864),x41865))
% 178.51/178.25 [4249]E(f177(f921(x42491,x42492),f326(f72(x42492,a910,f921(x42491,x42492),x42493),f255(x42491,x42492)),f326(f326(f181(x42491,x42492),x42494),x42495)),f326(f326(f181(x42491,x42492),x42494),f177(x42492,x42493,x42495)))
% 178.51/178.25 [4254]E(f326(f309(x42541,x42542,f326(f326(f10(x42543,x42542,x42541),x42544),x42545)),f241(f922(x42541,a910))),f326(f309(x42543,x42542,x42544),f326(f309(x42541,x42543,x42545),f241(f922(x42541,a910)))))
% 178.51/178.25 [4267]E(f177(f921(x42671,x42672),f326(f72(x42671,a910,f921(x42671,x42672),x42673),f250(x42671,x42672)),f326(f326(f181(x42671,x42672),x42674),x42675)),f326(f326(f181(x42671,x42672),f177(x42671,x42673,x42674)),x42675))
% 178.51/178.25 [4288]E(f326(f326(f110(f922(x42881,a910)),f326(f310(x42881,x42882,x42883),f326(f326(f308(x42882),x42884),f188(f922(x42882,a910))))),f326(f310(x42881,x42882,x42883),x42885)),f326(f310(x42881,x42882,x42883),f326(f326(f308(x42882),x42884),x42885)))
% 178.51/178.25 [4343]E(f326(f326(f134(f921(x43431,x43432)),f326(f326(f154(x43432,f921(x43431,x43432)),f326(f251(x43431,x43432),x43433)),x43434)),f59(x43431,x43432,x43435,x43434)),f59(x43431,x43432,f326(f326(f151(x43431),x43433),x43435),x43434))
% 178.51/178.25 [4345]E(f326(f326(f154(x43451,x43452),x43453),f177(x43451,f326(f72(x43452,a910,x43451,x43454),x43453),x43455)),f177(x43452,x43454,f326(f326(f154(x43451,x43452),x43453),x43455)))
% 178.51/178.25 [4350]E(f326(f142(x43501,x43502,f326(f9(x43502,x43501,x43501),f326(f9(x43501,x43502,x43501),x43503)),x43504),f326(f168(x43502),f326(f168(x43502),x43505))),f326(f142(x43501,x43502,x43503,x43504),x43505))
% 178.51/178.25 [4454]P106(f326(f326(f234(f922(x44541,a910)),f326(f309(x44542,x44541,x44543),f326(f326(f101(f922(x44542,a910)),x44544),x44545))),f326(f326(f101(f922(x44541,a910)),f326(f309(x44542,x44541,x44543),x44544)),f326(f309(x44542,x44541,x44543),x44545))))
% 178.51/178.25 [4455]P106(f326(f326(f234(f922(x44551,a910)),f326(f284(x44552,x44551,x44553),f326(f326(f101(f922(x44552,a910)),x44554),x44555))),f326(f326(f101(f922(x44551,a910)),f326(f284(x44552,x44551,x44553),x44554)),f326(f284(x44552,x44551,x44553),x44555))))
% 178.51/178.25 [4555]E(f326(f255(x45551,x45552),f326(f257(x45553,x45551,x45552,x45552,x45554,f31(x45552)),x45555)),f326(f255(x45553,x45552),x45555))
% 178.51/178.25 [4556]E(f326(f250(x45561,x45562),f326(f257(x45561,x45561,x45563,x45562,f31(x45561),x45564),x45565)),f326(f250(x45561,x45563),x45565))
% 178.51/178.25 [4643]P23(x46431,x46432,f326(f326(f308(f913(x46431)),f326(f326(f326(f90(x46431),f326(f326(f9(x46431,f922(a912,a910),f922(a912,a910)),f326(f326(f10(f922(a912,f922(a910,a910)),f922(f922(a912,a910),f922(a912,a910)),x46431),f20(a912,a910,a910)),f326(f326(f10(f922(a912,a910),f922(a912,f922(a910,a910)),x46431),f326(f10(a910,f922(a910,a910),a912),a325)),x46433))),f326(f326(f10(a910,a910,a912),a321),x46434))),f29(x46434,x46435)),x46433)),f188(f922(f913(x46431),a910))))
% 178.51/178.25 [3746]E(f326(f326(f326(f326(f204(x37461),x37462),x37463),x37464),x37465),f192(x37461,x37462))
% 178.51/178.25 [3747]E(f326(f326(f326(f326(f208(x37471),x37472),x37473),x37474),x37475),f199(x37471,x37472))
% 178.51/178.25 [3792]E(f93(x37921,x37922,f326(f326(f326(f90(x37921),x37923),x37924),x37925)),f2(a914))
% 178.51/178.25 [4117]E(f326(f326(f39(x41171,f922(x41172,a910)),f326(f326(f308(x41171),x41173),x41174)),x41175),f326(f326(f101(f922(x41172,a910)),f326(x41175,x41173)),f326(f326(f39(x41171,f922(x41172,a910)),x41174),x41175)))
% 178.51/178.25 [4118]E(f326(f326(f40(x41181,f922(x41182,a910)),f326(f326(f308(x41181),x41183),x41184)),x41185),f326(f326(f110(f922(x41182,a910)),f326(x41185,x41183)),f326(f326(f40(x41181,f922(x41182,a910)),x41184),x41185)))
% 178.51/178.25 [4168]E(f326(f118(x41681,x41682,f326(x41683,x41684)),f326(f326(f9(x41681,a99,f916(x41682)),x41685),x41684)),f326(f197(x41681,x41682,x41683,x41685),x41684))
% 178.51/178.25 [4180]E(f326(f326(f110(f922(x41801,a910)),f326(f309(x41802,x41801,x41803),x41804)),f326(f309(x41802,x41801,x41803),x41805)),f326(f309(x41802,x41801,x41803),f326(f326(f110(f922(x41802,a910)),x41804),x41805)))
% 178.51/178.25 [4181]E(f326(f326(f110(f922(x41811,a910)),f326(f284(x41812,x41811,x41813),x41814)),f326(f284(x41812,x41811,x41813),x41815)),f326(f284(x41812,x41811,x41813),f326(f326(f110(f922(x41812,a910)),x41814),x41815)))
% 178.51/178.25 [4182]E(f326(f326(f110(f922(x41821,a910)),f326(f310(x41821,x41822,x41823),x41824)),f326(f310(x41821,x41822,x41823),x41825)),f326(f310(x41821,x41822,x41823),f326(f326(f110(f922(x41822,a910)),x41824),x41825)))
% 178.51/178.25 [4183]E(f326(f326(f3(f922(x41831,a910)),f326(f310(x41831,x41832,x41833),x41834)),f326(f310(x41831,x41832,x41833),x41835)),f326(f310(x41831,x41832,x41833),f326(f326(f3(f922(x41832,a910)),x41834),x41835)))
% 178.51/178.25 [4184]E(f326(f326(f101(f922(x41841,a910)),f326(f310(x41841,x41842,x41843),x41844)),f326(f310(x41841,x41842,x41843),x41845)),f326(f310(x41841,x41842,x41843),f326(f326(f101(f922(x41842,a910)),x41844),x41845)))
% 178.51/178.25 [4245]E(f326(f326(f159(x42451,f326(f326(f134(x42451),x42452),f326(f326(f151(x42451),x42453),x42454))),f326(f189(f915(x42451)),x42452)),x42455),f326(f326(f134(x42451),x42452),f326(f326(f151(x42451),x42455),x42454)))
% 178.51/178.25 [4252]E(f326(f326(f39(x42521,f922(x42522,a910)),x42523),f326(f326(f10(f922(x42522,a910),f922(x42522,a910),x42521),f326(f308(x42522),x42524)),x42525)),f326(f326(f308(x42522),x42524),f326(f326(f39(x42521,f922(x42522,a910)),x42523),x42525)))
% 178.51/178.25 [4406]E(f326(f326(f154(x44061,x44062),x44063),f326(f136(x44061,f326(f72(x44062,a910,x44061,x44064),x44063)),x44065)),f326(f136(x44062,x44064),f326(f326(f154(x44061,x44062),x44063),x44065)))
% 178.51/178.25 [4412]E(f326(f189(f915(x44121)),f326(f136(x44121,x44122),f326(f326(f154(x44123,x44121),x44124),x44125))),f326(f189(f915(x44123)),f326(f136(x44123,f326(f72(x44121,a910,x44123,x44122),x44124)),x44125)))
% 178.51/178.25 [4620]E(f326(f156(f915(f921(x46201,x46202)),x46202,f113(f921(x46201,x46202)),f326(f326(f9(x46202,f922(f915(x46202),f915(f921(x46201,x46202))),f922(f915(x46202),f915(f921(x46201,x46202)))),f326(f326(f10(f922(f915(f921(x46201,x46202)),f915(f921(x46201,x46202))),f922(f922(f915(x46202),f915(f921(x46201,x46202))),f922(f915(x46202),f915(f921(x46201,x46202)))),x46202),f10(f915(f921(x46201,x46202)),f915(f921(x46201,x46202)),f915(x46202))),f326(f326(f10(f921(x46201,x46202),f922(f915(f921(x46201,x46202)),f915(f921(x46201,x46202))),x46202),f151(f921(x46201,x46202))),f326(f251(x46201,x46202),x46203)))),f326(f181(x46201,x46202),x46204))),x46205),f326(f326(f181(x46201,x46202),f326(f326(f151(x46201),x46203),x46204)),x46205))
% 178.51/178.25 [4109]E(f326(f326(f159(x41091,f326(f326(f159(x41091,x41092),x41093),x41094)),x41093),x41095),f326(f326(f159(x41091,x41092),x41093),x41095))
% 178.51/178.25 [4162]E(f326(f283(x41621,x41622),f326(f326(f308(f921(x41621,x41622)),f326(f326(f251(x41621,x41622),x41623),x41624)),x41625)),f326(f326(f308(x41622),x41624),f326(f283(x41621,x41622),x41625)))
% 178.51/178.25 [4163]E(f326(f263(x41631,x41632),f326(f326(f308(f921(x41631,x41632)),f326(f326(f251(x41631,x41632),x41633),x41634)),x41635)),f326(f326(f308(x41631),x41633),f326(f263(x41631,x41632),x41635)))
% 178.51/178.25 [4210]E(f122(x42101,x42102,f326(x42103,x42104),f326(f326(f9(x42101,a99,f916(f918(x42102))),x42105),x42104)),f326(f195(x42101,x42102,x42103,x42105),x42104))
% 178.51/178.25 [4238]E(f326(f326(f110(f922(f921(x42381,x42382),a910)),f326(f326(f253(x42381,x42382),x42383),x42384)),f326(f326(f253(x42381,x42382),x42385),x42384)),f326(f326(f253(x42381,x42382),f326(f326(f110(f922(x42381,a910)),x42383),x42385)),x42384))
% 178.51/178.25 [4239]E(f326(f326(f3(f922(f921(x42391,x42392),a910)),f326(f326(f253(x42391,x42392),x42393),x42394)),f326(f326(f253(x42391,x42392),x42395),x42394)),f326(f326(f253(x42391,x42392),f326(f326(f3(f922(x42391,a910)),x42393),x42395)),x42394))
% 178.51/178.25 [4240]E(f326(f326(f101(f922(f921(x42401,x42402),a910)),f326(f326(f253(x42401,x42402),x42403),x42404)),f326(f326(f253(x42401,x42402),x42405),x42404)),f326(f326(f253(x42401,x42402),f326(f326(f101(f922(x42401,a910)),x42403),x42405)),x42404))
% 178.51/178.25 [4299]E(f326(f326(f101(f922(x42991,a910)),f326(f326(f39(x42992,f922(x42991,a910)),x42993),x42994)),f326(f326(f39(x42992,f922(x42991,a910)),x42995),x42994)),f326(f326(f39(x42992,f922(x42991,a910)),f326(f326(f110(f922(x42992,a910)),x42993),x42995)),x42994))
% 178.51/178.25 [4300]E(f326(f326(f110(f922(x43001,a910)),f326(f326(f40(x43002,f922(x43001,a910)),x43003),x43004)),f326(f326(f40(x43002,f922(x43001,a910)),x43005),x43004)),f326(f326(f40(x43002,f922(x43001,a910)),f326(f326(f110(f922(x43002,a910)),x43003),x43005)),x43004))
% 178.51/178.25 [4314]E(f326(f326(f39(x43141,f922(x43142,a910)),x43143),f326(f326(f10(f922(x43142,a910),f922(x43142,a910),x43141),f326(f110(f922(x43142,a910)),x43144)),x43145)),f326(f326(f110(f922(x43142,a910)),x43144),f326(f326(f39(x43141,f922(x43142,a910)),x43143),x43145)))
% 178.51/178.25 [4315]E(f326(f326(f40(x43151,f922(x43152,a910)),x43153),f326(f326(f10(f922(x43152,a910),f922(x43152,a910),x43151),f326(f3(f922(x43152,a910)),x43154)),x43155)),f326(f326(f3(f922(x43152,a910)),x43154),f326(f326(f39(x43151,f922(x43152,a910)),x43153),x43155)))
% 178.51/178.25 [4316]E(f326(f326(f40(x43161,f922(x43162,a910)),x43163),f326(f326(f10(f922(x43162,a910),f922(x43162,a910),x43161),f326(f101(f922(x43162,a910)),x43164)),x43165)),f326(f326(f101(f922(x43162,a910)),x43164),f326(f326(f40(x43161,f922(x43162,a910)),x43163),x43165)))
% 178.51/178.25 [4370]E(f185(f915(x43701),f326(f326(f151(x43701),x43702),x43703),f326(f326(f10(f915(x43701),f915(x43701),a914),f326(f151(x43701),x43704)),f326(f326(f9(a914,x43701,f915(x43701)),f159(x43701,x43703)),x43702)),x43705),f326(f326(f159(x43701,f326(f326(f151(x43701),x43704),x43703)),x43705),x43702))
% 178.51/178.25 [4374]E(f326(f326(f39(x43741,f922(f921(x43742,x43743),a910)),x43744),f326(f326(f10(f922(f921(x43743,x43742),a910),f922(f921(x43742,x43743),a910),x43741),f285(x43743,x43742)),x43745)),f326(f285(x43743,x43742),f326(f326(f39(x43741,f922(f921(x43743,x43742),a910)),x43744),x43745)))
% 178.51/178.25 [4375]E(f326(f326(f40(x43751,f922(f921(x43752,x43753),a910)),x43754),f326(f326(f10(f922(f921(x43753,x43752),a910),f922(f921(x43752,x43753),a910),x43751),f285(x43753,x43752)),x43755)),f326(f285(x43753,x43752),f326(f326(f40(x43751,f922(f921(x43753,x43752),a910)),x43754),x43755)))
% 178.51/178.25 [4477]P106(f326(f326(f234(f922(x44771,a910)),f326(f326(f3(f922(x44771,a910)),f326(f309(x44772,x44771,x44773),x44774)),f326(f309(x44772,x44771,x44773),x44775))),f326(f309(x44772,x44771,x44773),f326(f326(f3(f922(x44772,a910)),x44774),x44775))))
% 178.51/178.25 [4623]E(f326(f156(f915(f921(x46231,x46232)),x46231,f113(f921(x46231,x46232)),f326(f326(f9(x46231,f922(f915(x46231),f915(f921(x46231,x46232))),f922(f915(x46231),f915(f921(x46231,x46232)))),f326(f326(f10(f922(f915(f921(x46231,x46232)),f915(f921(x46231,x46232))),f922(f922(f915(x46231),f915(f921(x46231,x46232))),f922(f915(x46231),f915(f921(x46231,x46232)))),x46231),f10(f915(f921(x46231,x46232)),f915(f921(x46231,x46232)),f915(x46231))),f326(f326(f10(f921(x46231,x46232),f922(f915(f921(x46231,x46232)),f915(f921(x46231,x46232))),x46231),f151(f921(x46231,x46232))),f326(f326(f9(x46231,x46232,f921(x46231,x46232)),f251(x46231,x46232)),x46233)))),f326(f326(f9(f915(x46231),f915(x46232),f915(f921(x46231,x46232))),f181(x46231,x46232)),x46234))),x46235),f326(f326(f181(x46231,x46232),x46235),f326(f326(f151(x46232),x46233),x46234)))
% 178.51/178.25 [4339]E(f326(f326(f110(f922(x43391,a910)),f326(f284(x43392,x43391,x43393),x43394)),f326(f284(x43392,x43391,x43395),x43394)),f326(f284(x43392,x43391,f326(f326(f110(f922(f921(x43392,x43391),a910)),x43393),x43395)),x43394))
% 178.51/178.25 [4376]E(f326(f326(f134(f921(x43761,x43762)),f326(f326(f181(x43761,x43762),x43763),f326(f326(f175(x43762),f326(f189(f915(x43761)),x43763)),x43764))),f326(f326(f181(x43761,x43762),x43765),f326(f326(f138(x43762),f326(f189(f915(x43761)),x43763)),x43764))),f326(f326(f181(x43761,x43762),f326(f326(f134(x43761),x43763),x43765)),x43764))
% 178.51/178.25 [4480]E(f326(f326(f253(x44801,x44802),x44803),f326(f326(f20(x44801,f922(x44802,a910),f922(x44802,a910)),f326(f326(f10(f922(x44802,a910),f922(f922(x44802,a910),f922(x44802,a910)),x44801),f110(f922(x44802,a910))),x44804)),x44805)),f326(f326(f110(f922(f921(x44801,x44802),a910)),f326(f326(f253(x44801,x44802),x44803),x44804)),f326(f326(f253(x44801,x44802),x44803),x44805)))
% 178.51/178.25 [4481]E(f326(f326(f253(x44811,x44812),x44813),f326(f326(f20(x44811,f922(x44812,a910),f922(x44812,a910)),f326(f326(f10(f922(x44812,a910),f922(f922(x44812,a910),f922(x44812,a910)),x44811),f3(f922(x44812,a910))),x44814)),x44815)),f326(f326(f3(f922(f921(x44811,x44812),a910)),f326(f326(f253(x44811,x44812),x44813),x44814)),f326(f326(f253(x44811,x44812),x44813),x44815)))
% 178.51/178.25 [4482]E(f326(f326(f253(x44821,x44822),x44823),f326(f326(f20(x44821,f922(x44822,a910),f922(x44822,a910)),f326(f326(f10(f922(x44822,a910),f922(f922(x44822,a910),f922(x44822,a910)),x44821),f101(f922(x44822,a910))),x44824)),x44825)),f326(f326(f101(f922(f921(x44821,x44822),a910)),f326(f326(f253(x44821,x44822),x44823),x44824)),f326(f326(f253(x44821,x44822),x44823),x44825)))
% 178.51/178.25 [4486]E(f326(f326(f39(x44861,f922(x44862,a910)),x44863),f326(f326(f9(x44861,f922(x44862,a910),f922(x44862,a910)),f326(f326(f10(f922(x44862,a910),f922(f922(x44862,a910),f922(x44862,a910)),x44861),f110(f922(x44862,a910))),x44864)),x44865)),f326(f326(f110(f922(x44862,a910)),f326(f326(f39(x44861,f922(x44862,a910)),x44863),x44864)),x44865))
% 178.51/178.25 [4487]E(f326(f326(f40(x44871,f922(x44872,a910)),x44873),f326(f326(f9(x44871,f922(x44872,a910),f922(x44872,a910)),f326(f326(f10(f922(x44872,a910),f922(f922(x44872,a910),f922(x44872,a910)),x44871),f3(f922(x44872,a910))),x44874)),x44875)),f326(f326(f3(f922(x44872,a910)),f326(f326(f40(x44871,f922(x44872,a910)),x44873),x44874)),x44875))
% 178.51/178.25 [4488]E(f326(f326(f40(x44881,f922(x44882,a910)),x44883),f326(f326(f9(x44881,f922(x44882,a910),f922(x44882,a910)),f326(f326(f10(f922(x44882,a910),f922(f922(x44882,a910),f922(x44882,a910)),x44881),f101(f922(x44882,a910))),x44884)),x44885)),f326(f326(f101(f922(x44882,a910)),f326(f326(f40(x44881,f922(x44882,a910)),x44883),x44884)),x44885))
% 178.51/178.25 [4492]E(f326(f326(f39(x44921,f922(x44922,a910)),x44923),f326(f326(f20(x44921,f922(x44922,a910),f922(x44922,a910)),f326(f326(f10(f922(x44922,a910),f922(f922(x44922,a910),f922(x44922,a910)),x44921),f101(f922(x44922,a910))),x44924)),x44925)),f326(f326(f101(f922(x44922,a910)),f326(f326(f39(x44921,f922(x44922,a910)),x44923),x44924)),f326(f326(f39(x44921,f922(x44922,a910)),x44923),x44925)))
% 178.51/178.25 [4493]E(f326(f326(f40(x44931,f922(x44932,a910)),x44933),f326(f326(f20(x44931,f922(x44932,a910),f922(x44932,a910)),f326(f326(f10(f922(x44932,a910),f922(f922(x44932,a910),f922(x44932,a910)),x44931),f110(f922(x44932,a910))),x44934)),x44935)),f326(f326(f110(f922(x44932,a910)),f326(f326(f40(x44931,f922(x44932,a910)),x44933),x44934)),f326(f326(f40(x44931,f922(x44932,a910)),x44933),x44935)))
% 178.51/178.25 [4507]E(f326(f326(f39(x45071,f922(x45072,a910)),x45073),f326(f326(f20(x45071,f922(x45072,a910),f922(x45072,a910)),f326(f326(f10(f922(x45072,a910),f922(f922(x45072,a910),f922(x45072,a910)),x45071),f101(f922(x45072,a910))),x45074)),x45075)),f326(f326(f101(f922(x45072,a910)),f38(f922(x45072,a910),f326(f309(x45071,f922(x45072,a910),x45074),x45073))),f38(f922(x45072,a910),f326(f309(x45071,f922(x45072,a910),x45075),x45073))))
% 178.51/178.25 [4508]E(f326(f326(f40(x45081,f922(x45082,a910)),x45083),f326(f326(f20(x45081,f922(x45082,a910),f922(x45082,a910)),f326(f326(f10(f922(x45082,a910),f922(f922(x45082,a910),f922(x45082,a910)),x45081),f110(f922(x45082,a910))),x45084)),x45085)),f326(f326(f110(f922(x45082,a910)),f37(f922(x45082,a910),f326(f309(x45081,f922(x45082,a910),x45084),x45083))),f37(f922(x45082,a910),f326(f309(x45081,f922(x45082,a910),x45085),x45083))))
% 178.51/178.25 [4544]E(f326(f326(f138(x45441),f326(f189(f915(x45441)),f177(x45441,x45442,f326(f326(f154(x45443,x45441),x45444),x45445)))),f326(f326(f154(x45443,x45441),x45444),x45445)),f326(f326(f154(x45443,x45441),x45444),f326(f326(f138(x45443),f326(f189(f915(x45443)),f177(x45443,f326(f72(x45441,a910,x45443,x45442),x45444),x45445))),x45445)))
% 178.51/178.25 [4419]E(f326(f326(f134(f921(x44191,x44192)),f326(f326(f181(x44191,x44192),f326(f326(f175(x44191),f326(f189(f915(x44192)),x44193)),x44194)),x44193)),f326(f326(f181(x44191,x44192),f326(f326(f138(x44191),f326(f189(f915(x44192)),x44193)),x44194)),x44195)),f326(f326(f181(x44191,x44192),x44194),f326(f326(f134(x44192),x44193),x44195)))
% 178.51/178.25 [4535]E(f84(x45351,f326(f326(f20(x45351,a910,a910),f326(f326(f10(a910,f922(a910,a910),x45351),a325),f326(f326(f9(x45351,f922(x45351,a910),a910),f328(x45351)),x45352))),f326(f326(f9(x45351,x45353,a910),f326(f326(f10(x45353,f922(x45353,a910),x45351),a323),x45354)),x45355))),f326(f76(x45351,x45353,x45352,x45354),x45355))
% 178.51/178.25 [4536]E(f89(x45361,f326(f326(f20(x45361,a910,a910),f326(f326(f10(a910,f922(a910,a910),x45361),a325),f326(f326(f9(x45361,f922(x45361,a910),a910),f328(x45361)),x45362))),f326(f326(f9(x45361,x45363,a910),f326(f326(f10(x45363,f922(x45363,a910),x45361),a323),x45364)),x45365))),f326(f91(x45361,x45363,x45362,x45364),x45365))
% 178.51/178.25 [4584]E(f326(f326(f85(a1,x45841),f326(f103(a1),f326(f326(f79(a1),x45842),a97))),f326(f326(f20(a1,x45841,x45841),f326(f326(f9(a1,x45841,f922(x45841,x45841)),f326(f326(f10(a910,f922(x45841,f922(x45841,x45841)),a1),f96(x45841)),a193)),f185(x45841,x45843,x45844,x45845))),f326(f326(f10(a914,x45841,a1),x45844),f326(f326(f9(a1,a914,a914),f326(f326(f10(a914,f922(a914,a914),a1),f79(a914)),a104)),x45845)))),f185(x45841,x45843,x45844,f326(f326(f79(a914),f326(f103(a914),x45842)),x45845)))
% 178.51/178.25 [4619]E(f326(f326(f85(a1,x46191),f326(f103(a1),f326(f326(f79(a1),x46192),a97))),f326(f326(f20(a1,x46191,x46191),f326(f326(f9(a1,x46191,f922(x46191,x46191)),f326(f326(f10(a910,f922(x46191,f922(x46191,x46191)),a1),f96(x46191)),a193)),f326(f184(x46191,x46193,x46194),x46195))),f326(f326(f20(a1,x46191,x46191),f326(f326(f10(a914,f922(x46191,x46191),a1),x46194),f326(f326(f9(a1,a914,a914),f326(f326(f10(a914,f922(a914,a914),a1),f79(a914)),a104)),x46195))),f326(f326(f10(a914,x46191,a1),f184(x46191,x46193,x46194)),f326(f326(f9(a1,a914,a914),f326(f326(f10(a914,f922(a914,a914),a1),f79(a914)),a104)),x46195))))),f326(f184(x46191,x46193,x46194),f326(f326(f79(a914),f326(f103(a914),x46192)),x46195)))
% 178.51/178.25 [4653]E(f326(f261(f921(x46531,x46532)),f326(f256(x46531,x46532,a910),f326(f326(f10(f922(x46532,f922(x46533,a910)),f922(x46532,a910),x46531),f326(f10(f922(x46533,a910),a910,x46532),f86(x46533))),f326(f326(f9(x46531,f922(x46532,f922(x46533,a910)),f922(x46532,f922(x46533,a910))),f326(f326(f10(f922(f922(x46533,a910),f922(x46533,a910)),f922(f922(x46532,f922(x46533,a910)),f922(x46532,f922(x46533,a910))),x46531),f10(f922(x46533,a910),f922(x46533,a910),x46532)),f326(f326(f10(f922(x46533,f922(a910,a910)),f922(f922(x46533,a910),f922(x46533,a910)),x46531),f20(x46533,a910,a910)),f326(f326(f10(f922(x46533,a910),f922(x46533,f922(a910,a910)),x46531),f326(f10(a910,f922(a910,a910),x46533),a325)),f326(f326(f9(x46531,f922(f921(x46531,x46533),a910),f922(x46533,a910)),f326(f326(f10(f922(x46533,f922(f922(f921(x46531,x46533),a910),a910)),f922(f922(f921(x46531,x46533),a910),f922(x46533,a910)),x46531),f9(x46533,f922(f921(x46531,x46533),a910),a910)),f326(f326(f10(f922(x46533,f921(x46531,x46533)),f922(x46533,f922(f922(f921(x46531,x46533),a910),a910)),x46531),f326(f10(f921(x46531,x46533),f922(f922(f921(x46531,x46533),a910),a910),x46533),f328(f921(x46531,x46533)))),f251(x46531,x46533)))),x46534))))),f326(f326(f9(x46532,f922(f921(x46533,x46532),a910),f922(x46533,a910)),f326(f326(f10(f922(x46533,f922(f922(f921(x46533,x46532),a910),a910)),f922(f922(f921(x46533,x46532),a910),f922(x46533,a910)),x46532),f9(x46533,f922(f921(x46533,x46532),a910),a910)),f326(f326(f10(f922(x46533,f921(x46533,x46532)),f922(x46533,f922(f922(f921(x46533,x46532),a910),a910)),x46532),f326(f10(f921(x46533,x46532),f922(f922(f921(x46533,x46532),a910),a910),x46533),f328(f921(x46533,x46532)))),f326(f9(x46533,x46532,f921(x46533,x46532)),f251(x46533,x46532))))),x46535))))),f326(f326(f288(x46531,x46533,x46532),x46534),x46535))
% 178.51/178.25 [4717]~E(f26(x47171,x47172,x47173),f27(x47174,x47175,x47176))
% 178.51/178.25 [4268]E(f224(x42681,x42682,x42683,x42684,f220(x42681,x42682,x42685,x42686)),f326(f326(x42684,x42685),x42686))
% 178.51/178.25 [4269]E(f225(x42691,x42692,x42693,x42694,f220(x42691,x42692,x42695,x42696)),f326(f326(x42694,x42695),x42696))
% 178.51/178.25 [4395]E(f127(x43951,x43952,x43953,x43954,f126(x43952,x43955,x43956)),f326(f326(f326(x43954,x43955),x43956),f127(x43951,x43952,x43953,x43954,x43956)))
% 178.51/178.25 [4414]E(f74(x44141,x44142,f74(x44141,x44142,x44143,x44144,x44145),x44144,x44146),f74(x44141,x44142,x44143,x44144,x44146))
% 178.51/178.25 [4523]E(f326(f72(f921(x45231,x45232),x45232,f921(x45233,x45234),f255(x45231,x45232)),f257(x45233,x45231,x45234,x45232,x45235,x45236)),f326(f72(x45234,x45232,f921(x45233,x45234),x45236),f255(x45233,x45234)))
% 178.51/178.25 [4524]E(f326(f72(f921(x45241,x45242),x45241,f921(x45243,x45244),f250(x45241,x45242)),f257(x45243,x45241,x45244,x45242,x45245,x45246)),f326(f72(x45243,x45241,f921(x45243,x45244),x45245),f250(x45243,x45244)))
% 178.51/178.25 [4138]E(f326(f326(f72(x41381,x41382,x41383,x41384),x41385),x41386),f326(x41384,f326(x41385,x41386)))
% 178.51/178.25 [4278]E(f223(x42781,f921(x42782,f916(x42782)),x42783,f326(f256(x42782,f916(x42782),x42781),x42784),f326(f135(x42782),f126(x42782,x42785,x42786))),f326(f326(x42784,x42785),x42786))
% 178.51/178.25 [4328]E(f226(x43281,x43282,x43283,x43284,f220(x43281,x43282,x43285,x43286)),f326(f326(f79(a914),f326(f326(f79(a914),f326(x43283,x43285)),f326(x43284,x43286))),f326(a112,f2(a914))))
% 178.51/178.25 [3936]E(f326(f326(f256(x39361,x39362,x39363),x39364),f326(f326(f251(x39361,x39362),x39365),x39366)),f326(f326(x39364,x39365),x39366))
% 178.51/178.25 [3996]E(f326(f326(f326(f10(x39961,x39962,x39963),x39964),x39965),x39966),f326(x39964,f326(x39965,x39966)))
% 178.51/178.25 [3997]E(f326(f326(f326(f9(x39971,x39972,x39973),x39974),x39975),x39976),f326(f326(x39974,x39976),x39975))
% 178.51/178.25 [4015]E(f326(f326(f326(f20(x40151,x40152,x40153),x40154),x40155),x40156),f326(f326(x40154,x40156),f326(x40155,x40156)))
% 178.51/178.25 [4038]E(f326(f156(x40381,x40382,x40383,x40384),f326(f326(f151(x40382),x40385),x40386)),f326(f326(x40384,x40385),x40386))
% 178.51/178.25 [4076]E(f169(f921(x40761,x40762),f326(f326(f232(a914),x40763),x40764),f326(f326(f251(x40761,x40762),x40765),x40766)),f326(f326(f181(x40761,x40762),f169(x40761,x40763,x40765)),f169(x40762,x40764,x40766)))
% 178.51/178.25 [4142]E(f326(f326(f151(f921(x41421,x41422)),f326(f326(f251(x41421,x41422),x41423),x41424)),f326(f326(f181(x41421,x41422),x41425),x41426)),f326(f326(f181(x41421,x41422),f326(f326(f151(x41421),x41423),x41425)),f326(f326(f151(x41422),x41424),x41426)))
% 178.51/178.25 [4143]E(f326(f326(f154(x41431,x41432),x41433),f326(f326(f159(x41431,x41434),x41435),x41436)),f326(f326(f159(x41432,f326(f326(f154(x41431,x41432),x41433),x41434)),x41435),f326(x41433,x41436)))
% 178.51/178.25 [4167]E(f326(f326(f254(x41671,x41672,x41673,x41674),x41675),x41676),f326(x41674,f326(f326(f251(x41671,x41672),x41675),x41676)))
% 178.51/178.25 [4185]E(f326(f142(x41851,x41852,x41853,x41854),f326(f326(f151(x41852),x41855),x41856)),f326(f142(x41851,x41852,x41853,f326(f326(x41853,x41854),x41855)),x41856))
% 178.51/178.25 [4211]E(f259(x42111,x42112,x42113,x42114,f326(f326(f251(x42111,x42112),x42115),x42116)),f326(f326(x42114,x42115),x42116))
% 178.51/178.25 [4292]E(f326(f326(f40(x42921,f922(x42922,a910)),x42923),f326(f72(x42924,f922(x42922,a910),x42921,x42925),x42926)),f326(f326(f40(x42924,f922(x42922,a910)),f326(f309(x42921,x42924,x42926),x42923)),x42925))
% 178.51/178.25 [4342]E(f326(f326(f154(x43421,x43422),x43423),f326(f326(f154(x43424,x43421),x43425),x43426)),f326(f326(f154(x43424,x43422),f326(f72(x43421,x43422,x43424,x43423),x43425)),x43426))
% 178.51/178.25 [4348]E(f326(f309(x43481,x43482,f326(f72(x43483,x43482,x43481,x43484),x43485)),x43486),f326(f309(x43483,x43482,x43484),f326(f309(x43481,x43483,x43485),x43486)))
% 178.51/178.25 [4349]E(f326(f310(x43491,x43492,f326(f72(x43493,x43492,x43491,x43494),x43495)),x43496),f326(f310(x43491,x43493,x43495),f326(f310(x43493,x43492,x43494),x43496)))
% 178.51/178.25 [4377]E(f326(f142(x43771,x43772,x43773,f326(f142(x43771,x43772,x43773,x43774),x43775)),x43776),f326(f142(x43771,x43772,x43773,x43774),f326(f326(f134(x43772),x43775),x43776)))
% 178.51/178.25 [4513]E(f326(f257(x45131,x45131,x45132,x45133,f31(x45131),x45134),f326(f326(f251(x45131,x45132),x45135),x45136)),f326(f326(f251(x45131,x45133),x45135),f326(x45134,x45136)))
% 178.51/178.25 [4514]E(f326(f257(x45141,x45142,x45143,x45143,x45144,f31(x45143)),f326(f326(f251(x45141,x45143),x45145),x45146)),f326(f326(f251(x45142,x45143),f326(x45144,x45145)),x45146))
% 178.51/178.25 [4602]E(f326(f326(f154(f921(x46021,x46022),f921(x46021,x46023)),f326(f256(x46021,x46022,f921(x46021,x46023)),f326(f326(f9(x46021,f922(x46022,x46023),f922(x46022,f921(x46021,x46023))),f326(f326(f10(f922(x46023,f921(x46021,x46023)),f922(f922(x46022,x46023),f922(x46022,f921(x46021,x46023))),x46021),f10(x46023,f921(x46021,x46023),x46022)),f251(x46021,x46023))),x46024))),f326(f326(f181(x46021,x46022),x46025),x46026)),f326(f326(f181(x46021,x46023),x46025),f326(f326(f154(x46022,x46023),x46024),x46026)))
% 178.51/178.25 [4001]E(f94(x40011,x40012,x40013,f326(f326(f326(f90(x40011),x40014),x40015),x40016)),f326(f326(f326(x40013,x40014),x40015),x40016))
% 178.51/178.25 [4002]E(f95(x40021,x40022,x40023,f326(f326(f326(f90(x40021),x40024),x40025),x40026)),f326(f326(f326(x40023,x40024),x40025),x40026))
% 178.51/178.25 [4195]E(f326(f326(f72(x41951,x41952,x41953,f326(f18(x41952,x41951),x41954)),x41955),x41956),x41954)
% 178.51/178.25 [4227]E(f326(f309(x42271,x42272,x42273),f326(f309(x42274,x42271,x42275),x42276)),f326(f309(x42274,x42272,f326(f326(f10(x42271,x42272,x42274),x42273),x42275)),x42276))
% 178.51/178.25 [4233]E(f326(f326(f39(x42331,f922(x42332,a910)),f326(f309(x42333,x42331,x42334),x42335)),x42336),f326(f326(f39(x42333,f922(x42332,a910)),x42335),f326(f326(f10(x42331,f922(x42332,a910),x42333),x42336),x42334)))
% 178.51/178.25 [4234]E(f326(f326(f40(x42341,f922(x42342,a910)),f326(f309(x42343,x42341,x42344),x42345)),x42346),f326(f326(f40(x42343,f922(x42342,a910)),x42345),f326(f326(f10(x42341,f922(x42342,a910),x42343),x42346),x42344)))
% 178.51/178.25 [4235]E(f326(f326(f39(x42351,f922(x42352,a910)),x42353),f326(f326(f10(x42354,f922(x42352,a910),x42351),x42355),x42356)),f326(f326(f39(x42354,f922(x42352,a910)),f326(f309(x42351,x42354,x42356),x42353)),x42355))
% 178.51/178.25 [4236]E(f326(f326(f40(x42361,f922(x42362,a910)),x42363),f326(f326(f10(x42364,f922(x42362,a910),x42361),x42365),x42366)),f326(f326(f40(x42364,f922(x42362,a910)),f326(f309(x42361,x42364,x42366),x42363)),x42365))
% 178.51/178.25 [4294]E(f326(f326(f40(x42941,f922(x42942,a910)),x42943),f326(f326(f10(f922(x42944,a910),f922(x42942,a910),x42941),f309(x42944,x42942,x42945)),x42946)),f326(f309(x42944,x42942,x42945),f326(f326(f40(x42941,f922(x42944,a910)),x42943),x42946)))
% 178.51/178.25 [4295]E(f326(f326(f40(x42951,f922(x42952,a910)),x42953),f326(f326(f10(f922(x42954,a910),f922(x42952,a910),x42951),f284(x42954,x42952,x42955)),x42956)),f326(f284(x42954,x42952,x42955),f326(f326(f40(x42951,f922(x42954,a910)),x42953),x42956)))
% 178.51/178.25 [4296]E(f326(f326(f39(x42961,f922(x42962,a910)),x42963),f326(f326(f10(f922(x42964,a910),f922(x42962,a910),x42961),f310(x42962,x42964,x42965)),x42966)),f326(f310(x42962,x42964,x42965),f326(f326(f39(x42961,f922(x42964,a910)),x42963),x42966)))
% 178.51/178.25 [4297]E(f326(f326(f40(x42971,f922(x42972,a910)),x42973),f326(f326(f10(f922(x42974,a910),f922(x42972,a910),x42971),f310(x42972,x42974,x42975)),x42976)),f326(f310(x42972,x42974,x42975),f326(f326(f40(x42971,f922(x42974,a910)),x42973),x42976)))
% 178.51/178.25 [4382]E(f326(f142(x43821,x43822,f326(f9(x43822,x43821,x43821),x43823),x43824),f326(f168(x43822),f326(f326(f151(x43822),x43825),x43826))),f326(f326(x43823,x43825),f326(f142(x43821,x43822,f326(f9(x43822,x43821,x43821),x43823),x43824),f326(f168(x43822),x43826))))
% 178.51/178.25 [4441]E(f326(f326(f20(f921(x44411,x44412),x44412,x44413),f326(f326(f10(x44414,f922(x44412,x44413),f921(x44411,x44412)),x44415),f326(f326(f10(x44411,x44414,f921(x44411,x44412)),x44416),f250(x44411,x44412)))),f255(x44411,x44412)),f326(f256(x44411,x44412,x44413),f326(f326(f10(x44414,f922(x44412,x44413),x44411),x44415),x44416)))
% 178.51/178.25 [4448]E(f326(f142(x44481,x44482,f326(f9(x44482,x44481,x44481),x44483),f326(f142(x44481,x44482,f326(f9(x44482,x44481,x44481),x44483),x44484),f326(f168(x44482),x44485))),f326(f168(x44482),x44486)),f326(f142(x44481,x44482,f326(f9(x44482,x44481,x44481),x44483),x44484),f326(f168(x44482),f326(f326(f134(x44482),x44486),x44485))))
% 178.51/178.25 [4450]E(f326(f326(f154(f921(x44501,x44502),f921(x44503,x44502)),f326(f256(x44501,x44502,f921(x44503,x44502)),f326(f326(f10(x44503,f922(x44502,f921(x44503,x44502)),x44501),f251(x44503,x44502)),x44504))),f326(f326(f181(x44501,x44502),x44505),x44506)),f326(f326(f181(x44503,x44502),f326(f326(f154(x44501,x44503),x44504),x44505)),x44506))
% 178.51/178.25 [4495]P106(f326(f326(f234(f922(x44951,a910)),f326(f284(x44952,x44951,x44953),f326(f326(f39(x44954,f922(x44952,a910)),x44955),x44956))),f326(f326(f39(x44954,f922(x44951,a910)),x44955),f326(f326(f10(f922(x44952,a910),f922(x44951,a910),x44954),f284(x44952,x44951,x44953)),x44956))))
% 178.51/178.25 [4307]E(f326(f326(f181(x43071,x43072),f326(f326(f159(x43071,x43073),x43074),f326(f250(x43071,x43072),x43075))),f326(f326(f159(x43072,x43076),x43074),f326(f255(x43071,x43072),x43075))),f326(f326(f159(f921(x43071,x43072),f326(f326(f181(x43071,x43072),x43073),x43076)),x43074),x43075))
% 178.51/178.25 [4365]E(f326(f326(f110(f922(f921(x43651,x43652),a910)),f326(f326(f288(x43651,x43653,x43652),x43654),x43655)),f326(f326(f288(x43651,x43653,x43652),x43654),x43656)),f326(f326(f288(x43651,x43653,x43652),x43654),f326(f326(f110(f922(f921(x43653,x43652),a910)),x43655),x43656)))
% 178.51/178.25 [4460]E(f326(f326(f308(f921(x44601,x44602)),f326(f326(f251(x44601,x44602),x44603),x44604)),f326(f326(f110(f922(f921(x44601,x44602),a910)),f326(f326(f253(x44601,x44602),x44605),f326(f18(f922(x44602,a910),x44601),f326(f326(f308(x44602),x44604),x44606)))),f326(f326(f253(x44601,x44602),f326(f326(f308(x44601),x44603),x44605)),f326(f18(f922(x44602,a910),x44601),x44606)))),f326(f326(f253(x44601,x44602),f326(f326(f308(x44601),x44603),x44605)),f326(f18(f922(x44602,a910),x44601),f326(f326(f308(x44602),x44604),x44606))))
% 178.51/178.25 [4540]E(f326(f326(f101(f922(x45401,a910)),f326(f310(x45401,x45402,f326(f72(f921(x45402,x45403),x45402,x45401,f250(x45402,x45403)),x45404)),x45405)),f326(f310(x45401,x45403,f326(f72(f921(x45402,x45403),x45403,x45401,f255(x45402,x45403)),x45404)),x45406)),f326(f310(x45401,f921(x45402,x45403),x45404),f326(f326(f253(x45402,x45403),x45405),f326(f18(f922(x45403,a910),x45402),x45406))))
% 178.51/178.25 [4388]E(f326(f326(f110(f922(f921(x43881,x43882),a910)),f326(f326(f288(x43881,x43883,x43882),x43884),x43885)),f326(f326(f288(x43881,x43883,x43882),x43886),x43885)),f326(f326(f288(x43881,x43883,x43882),f326(f326(f110(f922(f921(x43881,x43883),a910)),x43884),x43886)),x43885))
% 178.51/178.25 [4521]E(f326(f326(f39(x45211,f922(x45212,a910)),x45213),f326(f326(f9(x45211,f922(x45214,f922(x45212,a910)),f922(x45212,a910)),f326(f326(f10(f922(x45214,a910),f922(f922(x45214,f922(x45212,a910)),f922(x45212,a910)),x45211),f39(x45214,f922(x45212,a910))),x45215)),x45216)),f326(f326(f39(x45214,f922(x45212,a910)),f326(f326(f40(x45211,f922(x45214,a910)),x45213),x45215)),x45216))
% 178.51/178.25 [4522]E(f326(f326(f40(x45221,f922(x45222,a910)),x45223),f326(f326(f9(x45221,f922(x45224,f922(x45222,a910)),f922(x45222,a910)),f326(f326(f10(f922(x45224,a910),f922(f922(x45224,f922(x45222,a910)),f922(x45222,a910)),x45221),f40(x45224,f922(x45222,a910))),x45225)),x45226)),f326(f326(f40(x45224,f922(x45222,a910)),f326(f326(f40(x45221,f922(x45224,a910)),x45223),x45225)),x45226))
% 178.51/178.25 [4574]E(f326(f256(x45741,x45742,f921(x45743,x45744)),f326(f326(f9(x45741,f922(x45742,x45744),f922(x45742,f921(x45743,x45744))),f326(f326(f10(f922(x45744,f921(x45743,x45744)),f922(f922(x45742,x45744),f922(x45742,f921(x45743,x45744))),x45741),f10(x45744,f921(x45743,x45744),x45742)),f326(f326(f10(x45743,f922(x45744,f921(x45743,x45744)),x45741),f251(x45743,x45744)),x45745))),x45746)),f257(x45741,x45743,x45742,x45744,x45745,x45746))
% 178.51/178.25 [4597]E(f326(f309(x45971,x45972,f326(f326(f20(x45971,x45972,x45972),f326(f326(f20(x45971,x45972,f922(x45972,x45972)),f326(f326(f10(a910,f922(x45972,f922(x45972,x45972)),x45971),f96(x45972)),x45973)),x45974)),x45975)),x45976),f326(f326(f110(f922(x45972,a910)),f326(f309(x45971,x45972,x45974),f326(f326(f101(f922(x45971,a910)),x45976),f326(f261(x45971),x45973)))),f326(f309(x45971,x45972,x45975),f326(f326(f101(f922(x45971,a910)),x45976),f326(f261(x45971),f326(f326(f10(a910,a910,x45971),a321),x45973))))))
% 178.51/178.25 [4609]E(f326(f309(x46091,f921(x46092,x46093),f326(f326(f20(x46091,x46093,f921(x46092,x46093)),f326(f326(f10(x46092,f922(x46093,f921(x46092,x46093)),x46091),f251(x46092,x46093)),x46094)),x46095)),x46096),f326(f326(f253(x46092,x46093),f326(f309(x46091,x46092,x46094),x46096)),f326(f326(f10(f922(x46091,a910),f922(x46093,a910),x46092),f309(x46091,x46093,x46095)),f326(f326(f9(x46092,f922(x46091,a910),f922(x46091,a910)),f326(f326(f10(f922(x46091,a910),f922(f922(x46091,a910),f922(x46091,a910)),x46092),f101(f922(x46091,a910))),f326(f326(f10(f922(x46092,a910),f922(x46091,a910),x46092),f310(x46091,x46092,x46094)),f326(f326(f9(x46092,f922(x46092,a910),f922(x46092,a910)),f308(x46092)),f188(f922(x46092,a910)))))),x46096))))
% 178.51/178.25 [4634]E(f245(x46341,x46342,x46343,x46344,x46345,x46346),f326(x46344,f326(f261(x46341),f326(f326(f10(f922(f922(x46343,x46341),a910),a910,x46341),f86(f922(x46343,x46341))),f326(f326(f10(f922(f922(x46343,x46341),a910),f922(f922(x46343,x46341),a910),x46341),f326(f20(f922(x46343,x46341),a910,a910),f326(f326(f10(a910,f922(a910,a910),f922(x46343,x46341)),a325),f326(f326(f9(f922(x46343,x46341),f922(f922(x46343,x46341),a910),a910),f328(f922(x46343,x46341))),x46345)))),f326(f326(f9(x46341,f922(f922(x46343,x46341),x46341),f922(f922(x46343,x46341),a910)),f326(f326(f10(f922(x46341,a910),f922(f922(f922(x46343,x46341),x46341),f922(f922(x46343,x46341),a910)),x46341),f10(x46341,a910,f922(x46343,x46341))),a323)),f326(f326(f9(f922(x46343,x46341),x46343,x46341),f7(f922(x46343,x46341))),x46346)))))))
% 178.51/178.25 [4422]E(f326(f72(x44221,x44222,x44223,x44224),f74(x44223,x44221,x44225,x44226,x44227)),f74(x44223,x44222,f326(f72(x44221,x44222,x44223,x44224),x44225),x44226,f326(x44224,x44227)))
% 178.51/178.25 [4557]E(f326(f255(x45571,x45572),f326(f257(x45573,x45571,x45574,x45572,x45575,x45576),x45577)),f326(x45576,f326(f255(x45573,x45574),x45577)))
% 178.51/178.25 [4558]E(f326(f250(x45581,x45582),f326(f257(x45583,x45581,x45584,x45582,x45585,x45586),x45587)),f326(x45585,f326(f250(x45583,x45584),x45587)))
% 178.51/178.25 [4270]E(f326(f326(f181(x42701,x42702),f326(f326(f159(x42701,x42703),x42704),x42705)),f326(f326(f159(x42702,x42706),x42704),x42707)),f326(f326(f159(f921(x42701,x42702),f326(f326(f181(x42701,x42702),x42703),x42706)),x42704),f326(f326(f251(x42701,x42702),x42705),x42707)))
% 178.51/178.25 [4337]E(f326(f326(f326(f258(x43371,x43372,x43373,x43374),x43375),x43376),x43377),f326(f326(f256(x43372,x43373,x43374),x43376),f326(x43375,x43377)))
% 178.51/178.25 [4347]E(f326(f326(f326(f258(x43471,x43472,x43473,x43474),x43475),x43476),x43477),f326(f326(x43476,f326(f250(x43472,x43473),f326(x43475,x43477))),f326(f255(x43472,x43473),f326(x43475,x43477))))
% 178.51/178.25 [4400]E(f326(f72(x44001,x44002,x44003,x44004),f326(f72(x44005,x44001,x44003,x44006),x44007)),f326(f72(x44005,x44002,x44003,f326(f72(x44001,x44002,x44005,x44004),x44006)),x44007))
% 178.51/178.25 [4578]E(f326(f257(x45781,x45782,x45783,x45783,x45784,f31(x45783)),f326(f257(x45781,x45781,x45785,x45783,f31(x45781),x45786),x45787)),f326(f326(f251(x45782,x45783),f326(x45784,f326(f250(x45781,x45785),x45787))),f326(x45786,f326(f255(x45781,x45785),x45787))))
% 178.51/178.25 [4579]E(f326(f257(x45791,x45791,x45792,x45793,f31(x45791),x45794),f326(f257(x45795,x45791,x45792,x45792,x45796,f31(x45792)),x45797)),f326(f326(f251(x45791,x45793),f326(x45796,f326(f250(x45795,x45792),x45797))),f326(x45794,f326(f255(x45795,x45792),x45797))))
% 178.51/178.25 [4595]E(f326(f257(x45951,x45952,x45953,x45953,x45954,f31(x45953)),f326(f257(x45955,x45951,x45953,x45953,x45956,f31(x45953)),x45957)),f326(f257(x45955,x45952,x45953,x45953,f326(f72(x45951,x45952,x45955,x45954),x45956),f31(x45953)),x45957))
% 178.51/178.25 [4596]E(f326(f257(x45961,x45961,x45962,x45963,f31(x45961),x45964),f326(f257(x45961,x45961,x45965,x45962,f31(x45961),x45966),x45967)),f326(f257(x45961,x45961,x45965,x45963,f31(x45961),f326(f72(x45962,x45963,x45965,x45964),x45966)),x45967))
% 178.51/178.25 [4606]E(f326(f257(x46061,x46062,x46063,x46063,x46064,f31(x46063)),f326(f257(x46061,x46061,x46065,x46063,f31(x46061),x46066),x46067)),f326(f257(x46062,x46062,x46065,x46063,f31(x46062),x46066),f326(f257(x46061,x46062,x46065,x46065,x46064,f31(x46065)),x46067)))
% 178.51/178.25 [4304]E(f326(f326(f288(x43041,x43042,x43043),f326(f326(f288(x43041,x43044,x43042),x43045),x43046)),x43047),f326(f326(f288(x43041,x43044,x43043),x43045),f326(f326(f288(x43044,x43042,x43043),x43046),x43047)))
% 178.51/178.25 [4371]E(f326(f326(f256(x43711,x43712,x43713),f326(f72(x43714,f922(x43712,x43713),x43711,x43715),x43716)),x43717),f326(f326(x43715,f326(x43716,f326(f250(x43711,x43712),x43717))),f326(f255(x43711,x43712),x43717)))
% 178.51/178.25 [4453]E(f326(f142(x44531,x44532,f326(f9(x44532,x44531,x44531),x44533),x44534),f326(f168(x44532),f326(f326(f154(x44535,x44532),x44536),x44537))),f326(f142(x44531,x44535,f326(f9(x44535,x44531,x44531),f326(f72(x44532,f922(x44531,x44531),x44535,x44533),x44536)),x44534),f326(f168(x44535),x44537)))
% 178.51/178.25 [4401]E(f326(f326(f40(x44011,f922(f921(x44012,x44013),a910)),x44014),f326(f326(f10(f922(f921(x44015,x44013),a910),f922(f921(x44012,x44013),a910),x44011),f326(f288(x44012,x44015,x44013),x44016)),x44017)),f326(f326(f288(x44012,x44015,x44013),x44016),f326(f326(f40(x44011,f922(f921(x44015,x44013),a910)),x44014),x44017)))
% 178.51/178.25 [4545]E(f326(f326(f40(x45451,f922(f921(x45452,x45453),a910)),x45454),f326(f326(f9(x45451,f922(f921(x45455,x45453),a910),f922(f921(x45452,x45453),a910)),f326(f326(f10(f922(f921(x45452,x45455),a910),f922(f922(f921(x45455,x45453),a910),f922(f921(x45452,x45453),a910)),x45451),f288(x45452,x45455,x45453)),x45456)),x45457)),f326(f326(f288(x45452,x45455,x45453),f326(f326(f40(x45451,f922(f921(x45452,x45455),a910)),x45454),x45456)),x45457))
% 178.51/178.25 [4546]E(f326(f142(x45461,x45462,f326(f326(f9(x45461,f922(x45462,x45463),f922(x45462,x45461)),f326(f326(f10(f922(x45463,x45461),f922(f922(x45462,x45463),f922(x45462,x45461)),x45461),f10(x45463,x45461,x45462)),x45464)),x45465),x45466),x45467),f326(f142(x45461,x45463,x45464,x45466),f326(f326(f154(x45462,x45463),x45465),x45467)))
% 178.51/178.25 [4607]E(f326(f326(f39(x46071,f922(x46072,a910)),x46073),f326(f326(f10(f922(x46074,f922(x46072,a910)),f922(x46072,a910),x46071),f326(f39(x46074,f922(x46072,a910)),x46075)),f326(f326(f9(x46071,f922(x46074,f922(x46072,a910)),f922(x46074,f922(x46072,a910))),f326(f326(f10(f922(f922(x46072,a910),f922(x46072,a910)),f922(f922(x46074,f922(x46072,a910)),f922(x46074,f922(x46072,a910))),x46071),f10(f922(x46072,a910),f922(x46072,a910),x46074)),f326(f326(f10(f922(x46072,a910),f922(f922(x46072,a910),f922(x46072,a910)),x46071),f110(f922(x46072,a910))),x46076))),x46077))),f326(f326(f110(f922(x46072,a910)),f326(f326(f39(x46071,f922(x46072,a910)),x46073),x46076)),f326(f326(f39(x46074,f922(x46072,a910)),x46075),x46077)))
% 178.51/178.25 [4608]E(f326(f326(f40(x46081,f922(x46082,a910)),x46083),f326(f326(f10(f922(x46084,f922(x46082,a910)),f922(x46082,a910),x46081),f326(f40(x46084,f922(x46082,a910)),x46085)),f326(f326(f9(x46081,f922(x46084,f922(x46082,a910)),f922(x46084,f922(x46082,a910))),f326(f326(f10(f922(f922(x46082,a910),f922(x46082,a910)),f922(f922(x46084,f922(x46082,a910)),f922(x46084,f922(x46082,a910))),x46081),f10(f922(x46082,a910),f922(x46082,a910),x46084)),f326(f326(f10(f922(x46082,a910),f922(f922(x46082,a910),f922(x46082,a910)),x46081),f101(f922(x46082,a910))),x46086))),x46087))),f326(f326(f101(f922(x46082,a910)),f326(f326(f40(x46081,f922(x46082,a910)),x46083),x46086)),f326(f326(f40(x46084,f922(x46082,a910)),x46085),x46087)))
% 178.51/178.25 [4600]E(f197(x46001,x46002,f326(f326(f326(x46003,x46004),x46005),x46006),f326(f326(f9(x46001,f921(a99,a99),f922(a99,f916(x46002))),f326(f326(f9(x46001,a99,f922(f921(a99,a99),f922(a99,f916(x46002)))),f326(f326(f9(x46001,a99,f922(a99,f922(f921(a99,a99),f922(a99,f916(x46002))))),x46007),x46004)),x46005)),x46006)),f326(f326(f326(f209(x46001,x46002,x46003,x46007),x46004),x46005),x46006))
% 178.51/178.25 [4614]E(f198(x46141,x46142,f326(f326(f326(x46143,x46144),x46145),x46146),f326(f326(f9(x46141,f921(a99,a99),f922(a99,f916(x46142))),f326(f326(f9(x46141,a99,f922(f921(a99,a99),f922(a99,f916(x46142)))),f326(f326(f9(x46141,a99,f922(a99,f922(f921(a99,a99),f922(a99,f916(x46142))))),x46147),x46144)),x46145)),x46146)),f211(x46141,x46142,x46143,x46147,x46144,x46145,x46146))
% 178.51/178.25 [4605]E(f195(x46051,x46052,f326(f326(f326(x46053,x46054),x46055),x46056),f326(f326(f9(x46051,f921(a99,a99),f922(a99,f916(f918(x46052)))),f326(f326(f9(x46051,a99,f922(f921(a99,a99),f922(a99,f916(f918(x46052))))),f326(f326(f9(x46051,a99,f922(a99,f922(f921(a99,a99),f922(a99,f916(f918(x46052)))))),x46057),x46054)),x46055)),x46056)),f326(f326(f326(f205(x46051,x46052,x46053,x46057),x46054),x46055),x46056))
% 178.51/178.25 [4616]E(f196(x46161,x46162,f326(f326(f326(x46163,x46164),x46165),x46166),f326(f326(f9(x46161,f921(a99,a99),f922(a99,f916(f918(x46162)))),f326(f326(f9(x46161,a99,f922(f921(a99,a99),f922(a99,f916(f918(x46162))))),f326(f326(f9(x46161,a99,f922(a99,f922(f921(a99,a99),f922(a99,f916(f918(x46162)))))),x46167),x46164)),x46165)),x46166)),f207(x46161,x46162,x46163,x46167,x46164,x46165,x46166))
% 178.51/178.25 [4515]E(f326(f257(x45151,x45152,x45153,x45154,x45155,x45156),f326(f326(f251(x45151,x45153),x45157),x45158)),f326(f326(f251(x45152,x45154),f326(x45155,x45157)),f326(x45156,x45158)))
% 178.51/178.25 [4618]E(f326(f326(f154(f921(x46181,x46182),f921(x46183,x46184)),f326(f256(x46181,x46182,f921(x46183,x46184)),f326(f326(f9(x46181,f922(x46182,x46184),f922(x46182,f921(x46183,x46184))),f326(f326(f10(f922(x46184,f921(x46183,x46184)),f922(f922(x46182,x46184),f922(x46182,f921(x46183,x46184))),x46181),f10(x46184,f921(x46183,x46184),x46182)),f326(f326(f10(x46183,f922(x46184,f921(x46183,x46184)),x46181),f251(x46183,x46184)),x46185))),x46186))),f326(f326(f181(x46181,x46182),x46187),x46188)),f326(f326(f181(x46183,x46184),f326(f326(f154(x46181,x46183),x46185),x46187)),f326(f326(f154(x46182,x46184),x46186),x46188)))
% 178.51/178.25 [4621]E(f326(f326(f154(f921(x46211,x46212),x46213),f326(f256(x46211,x46212,x46213),f326(f326(f10(f922(x46212,f921(x46211,x46214)),f922(x46212,x46213),x46211),f326(f10(f921(x46211,x46214),x46213,x46212),x46215)),f326(f326(f9(x46211,f922(x46212,x46214),f922(x46212,f921(x46211,x46214))),f326(f326(f10(f922(x46214,f921(x46211,x46214)),f922(f922(x46212,x46214),f922(x46212,f921(x46211,x46214))),x46211),f10(x46214,f921(x46211,x46214),x46212)),f251(x46211,x46214))),x46216)))),f326(f326(f181(x46211,x46212),x46217),x46218)),f326(f326(f154(f921(x46211,x46214),x46213),x46215),f326(f326(f181(x46211,x46214),x46217),f326(f326(f154(x46212,x46214),x46216),x46218))))
% 178.51/178.25 [4549]E(f326(f326(f154(f921(x45491,x45492),x45493),f326(f256(x45491,x45492,x45493),f326(f326(f10(f922(x45492,f921(x45494,x45492)),f922(x45492,x45493),x45491),f326(f10(f921(x45494,x45492),x45493,x45492),x45495)),f326(f326(f10(x45494,f922(x45492,f921(x45494,x45492)),x45491),f251(x45494,x45492)),x45496)))),f326(f326(f181(x45491,x45492),x45497),x45498)),f326(f326(f154(f921(x45494,x45492),x45493),x45495),f326(f326(f181(x45494,x45492),f326(f326(f154(x45491,x45494),x45496),x45497)),x45498)))
% 178.51/178.25 [4506]E(f326(f326(f256(x45061,x45062,x45063),f326(f326(f10(f922(x45062,f921(x45064,x45065)),f922(x45062,x45063),x45061),f326(f10(f921(x45064,x45065),x45063,x45062),f326(f256(x45064,x45065,x45063),x45066))),x45067)),x45068),f326(f326(f256(x45064,x45065,x45063),x45066),f326(f326(f256(x45061,x45062,f921(x45064,x45065)),x45067),x45068)))
% 178.51/178.25 [4622]E(f326(f326(f40(f921(x46221,x46222),f922(f921(x46223,x46224),a910)),f326(f326(f253(x46221,x46222),x46225),f326(f18(f922(x46222,a910),x46221),x46226))),f326(f256(x46221,x46222,f922(f921(x46223,x46224),a910)),f326(f326(f9(x46221,f922(x46222,f922(x46223,f922(x46224,a910))),f922(x46222,f922(f921(x46223,x46224),a910))),f326(f326(f10(f922(f922(x46223,f922(x46224,a910)),f922(f921(x46223,x46224),a910)),f922(f922(x46222,f922(x46223,f922(x46224,a910))),f922(x46222,f922(f921(x46223,x46224),a910))),x46221),f10(f922(x46223,f922(x46224,a910)),f922(f921(x46223,x46224),a910),x46222)),f326(f326(f10(f922(x46223,a910),f922(f922(x46223,f922(x46224,a910)),f922(f921(x46223,x46224),a910)),x46221),f253(x46223,x46224)),x46227))),f326(f326(f10(f922(x46224,a910),f922(x46223,f922(x46224,a910)),x46222),f18(f922(x46224,a910),x46223)),x46228)))),f326(f326(f253(x46223,x46224),f326(f326(f40(x46221,f922(x46223,a910)),x46225),x46227)),f326(f18(f922(x46224,a910),x46223),f326(f326(f40(x46222,f922(x46224,a910)),x46226),x46228))))
% 178.51/178.25 [4563]E(f326(f326(f258(x45631,x45632,x45633,x45634),f326(f326(f258(x45631,x45635,x45636,f921(x45632,x45633)),x45637),x45638)),x45639),f326(f326(f258(x45631,x45635,x45636,x45634),x45637),f326(f326(f9(x45635,f922(x45632,f922(x45633,x45634)),f922(x45636,x45634)),f326(f326(f10(f922(x45636,f921(x45632,x45633)),f922(f922(x45632,f922(x45633,x45634)),f922(x45636,x45634)),x45635),f258(x45636,x45632,x45633,x45634)),x45638)),x45639)))
% 178.51/178.25 [4592]E(f326(f72(f921(x45921,x45922),f921(x45923,x45924),f921(x45925,x45926),f257(x45921,x45923,x45922,x45924,x45927,x45928)),f257(x45925,x45921,x45926,x45922,x45929,x459210)),f257(x45925,x45923,x45926,x45924,f326(f72(x45921,x45923,x45925,x45927),x45929),f326(f72(x45922,x45924,x45926,x45928),x459210)))
% 178.51/178.25 [4598]E(f326(f257(x45981,x45982,x45983,x45984,x45985,x45986),f326(f257(x45987,x45981,x45988,x45983,x45989,x459810),x459811)),f326(f257(x45987,x45982,x45988,x45984,f326(f72(x45981,x45982,x45987,x45985),x45989),f326(f72(x45983,x45984,x45988,x45986),x459810)),x459811))
% 178.51/178.25 [4746]~P3(x47461)+P3(f918(x47461))
% 178.51/178.25 [4747]~P62(x47471)+P62(f918(x47471))
% 178.51/178.25 [4748]~P104(x47481)+P104(f915(x47481))
% 178.51/178.25 [4751]~P143(x47511)+~E(f77(x47511),f2(x47511))
% 178.51/178.25 [4753]~E(x47531,f2(a99))+E(f326(a24,x47531),f2(a1))
% 178.51/178.25 [4754]~E(x47541,f2(a1))+E(f81(a1,x47541),f2(a1))
% 178.51/178.25 [4760]~P144(x47601)+P27(x47601,f2(x47601))
% 178.51/178.25 [4762]~P109(x47621)+P12(x47621,f113(x47621))
% 178.51/178.25 [4771]P106(x47711)+P106(f326(a321,x47711))
% 178.51/178.25 [4825]~P144(x48251)+~P27(x48251,f77(x48251))
% 178.51/178.25 [4866]~P106(x48661)+~P106(f326(a321,x48661))
% 178.51/178.25 [4887]E(f326(a104,x48871),f2(a914))+~P106(f326(a193,x48871))
% 178.51/178.25 [4953]~P68(x49531)+P15(x49531,x49531,f80(x49531))
% 178.51/178.25 [4954]~P101(x49541)+P13(x49541,x49541,f110(x49541))
% 178.51/178.25 [4955]~P97(x49551)+P13(x49551,x49551,f80(x49551))
% 178.51/178.25 [4956]~P102(x49561)+P13(x49561,x49561,f101(x49561))
% 178.51/178.25 [4957]~P109(x49571)+P13(x49571,x49571,f232(x49571))
% 178.51/178.25 [4958]~P109(x49581)+P13(x49581,x49581,f233(x49581))
% 178.51/178.25 [4757]~E(x47571,f2(a914))+E(f326(f100(a1),x47571),f2(a1))
% 178.51/178.25 [4764]~P95(x47641)+E(f326(f103(x47641),a82),f2(x47641))
% 178.51/178.25 [4767]~E(f580(x47671),f2(a914))+E(f326(f165(a914),x47671),f2(a914))
% 178.51/178.25 [4768]~P108(x47681)+E(f236(x47681,f234(x47681)),f232(x47681))
% 178.51/178.25 [4769]~P108(x47691)+E(f237(x47691,f234(x47691)),f233(x47691))
% 178.51/178.25 [4770]~P91(x47701)+E(f81(x47701,f2(x47701)),f2(x47701))
% 178.51/178.25 [4779]~P144(x47791)+E(f326(f100(x47791),f77(a914)),f77(x47791))
% 178.51/178.25 [4780]~P144(x47801)+E(f326(f100(x47801),f2(a914)),f2(x47801))
% 178.51/178.25 [4781]~P141(x47811)+E(f326(f102(x47811),f77(a1)),f77(x47811))
% 178.51/178.25 [4782]~P141(x47821)+E(f326(f102(x47821),f2(a1)),f2(x47821))
% 178.51/178.25 [4783]E(x47831,f2(a914))+~E(f326(f100(a1),x47831),f2(a1))
% 178.51/178.25 [4819]~P119(x48191)+E(f326(f75(x48191),f77(x48191)),f77(x48191))
% 178.51/178.25 [4820]~P87(x48201)+E(f326(f75(x48201),f2(x48201)),f2(x48201))
% 178.51/178.25 [4821]~P96(x48211)+E(f326(f78(x48211),f188(x48211)),f241(x48211))
% 178.51/178.25 [4822]~P74(x48221)+E(f326(f78(x48221),f2(x48221)),f2(x48221))
% 178.51/178.25 [4823]~P96(x48231)+E(f326(f78(x48231),f241(x48231)),f188(x48231))
% 178.51/178.25 [4824]~P83(x48241)+E(f326(f165(x48241),f113(x48241)),f2(x48241))
% 178.51/178.25 [4842]~P36(x48421)+P40(f326(f172(a1),x48421))
% 178.51/178.25 [4871]~P95(x48711)+E(f326(f78(x48711),f77(x48711)),f326(f103(x48711),a97))
% 178.51/178.25 [4886]~P95(x48861)+P27(x48861,f326(f103(x48861),a82))
% 178.51/178.25 [4912]P36(x49121)+~P40(f326(f172(a1),x49121))
% 178.51/178.25 [4959]E(f326(f100(a1),f326(a104,x49591)),x49591)+P106(f326(a193,x49591))
% 178.51/178.25 [5029]~P116(x50291)+E(f244(x50291,f77(x50291),f80(x50291)),f243(x50291))
% 178.51/178.25 [5062]~P95(x50621)+~P27(x50621,f326(f103(x50621),a97))
% 178.51/178.25 [5215]E(f326(f75(a1),x52151),x52151)+P106(f326(f326(f235(a1),x52151),f2(a1)))
% 178.51/178.25 [5233]~E(f326(a104,x52331),f2(a914))+P106(f326(f326(f234(a1),x52331),f2(a1)))
% 178.51/178.25 [5300]~P106(f326(a193,x53001))+P106(f326(f326(f235(a1),x53001),f2(a1)))
% 178.51/178.25 [5340]~P125(x53401)+P106(f326(f326(f234(x53401),f2(x53401)),f77(x53401)))
% 178.51/178.25 [5341]~P141(x53411)+P106(f326(f326(f328(x53411),f77(x53411)),f109(x53411)))
% 178.51/178.25 [5342]~P144(x53421)+P106(f326(f326(f328(x53421),f77(x53421)),f186(x53421)))
% 178.51/178.25 [5343]~P141(x53431)+P106(f326(f326(f328(x53431),f2(x53431)),f109(x53431)))
% 178.51/178.25 [5344]~P144(x53441)+P106(f326(f326(f328(x53441),f2(x53441)),f186(x53441)))
% 178.51/178.25 [5345]~P125(x53451)+P106(f326(f326(f235(x53451),f2(x53451)),f77(x53451)))
% 178.51/178.25 [5398]E(x53981,f77(a914))+~P106(f326(f326(f286(a914),x53981),f77(a914)))
% 178.51/178.25 [5399]E(x53991,f2(a914))+~P106(f326(f326(f234(a914),x53991),f2(a914)))
% 178.51/178.25 [5441]E(f326(a104,x54411),f2(a914))+~P106(f326(f326(f234(a1),x54411),f2(a1)))
% 178.51/178.25 [5502]P106(f326(a193,x55021))+~P106(f326(f326(f235(a1),x55021),f2(a1)))
% 178.51/178.25 [5509]~P109(x55091)+P15(x55091,f915(x55091),f148(x55091,x55091,f7(x55091)))
% 178.51/178.25 [5527]P40(x55271)+~P106(f326(f326(f234(a1),f2(a1)),f332(x55271)))
% 178.51/178.25 [5532]E(f326(f75(a1),x55321),f326(f78(a1),x55321))+~P106(f326(f326(f235(a1),x55321),f2(a1)))
% 178.51/178.25 [5703]~P125(x57031)+~P106(f326(f326(f234(x57031),f77(x57031)),f2(x57031)))
% 178.51/178.25 [5704]~P125(x57041)+~P106(f326(f326(f235(x57041),f77(x57041)),f2(x57041)))
% 178.51/178.25 [5718]~E(x57181,f2(a914))+P106(f326(f326(f234(a1),f326(f100(a1),x57181)),f2(a1)))
% 178.51/178.25 [5719]~E(x57191,f2(a1))+P106(f326(f326(f235(a1),f326(f75(a1),x57191)),f77(a1)))
% 178.51/178.25 [5841]~P83(x58411)+E(f142(x58411,x58411,f79(x58411),f2(x58411)),f165(x58411))
% 178.51/178.25 [6024]~P103(x60241)+P24(a914,x60241,f100(x60241),f241(f922(a914,a910)))
% 178.51/178.25 [6222]E(x62221,f2(a914))+~P106(f326(f326(f234(a1),f326(f100(a1),x62221)),f2(a1)))
% 178.51/178.25 [6223]E(x62231,f2(a1))+~P106(f326(f326(f235(a1),f326(f75(a1),x62231)),f77(a1)))
% 178.51/178.25 [7031]~P106(f326(f326(f235(a1),x70311),f2(a1)))+P106(f326(f326(f235(a1),f326(f326(f79(a1),x70311),x70311)),f2(a1)))
% 178.51/178.25 [7583]P106(f326(f326(f235(a1),x75831),f2(a1)))+~P106(f326(f326(f235(a1),f326(f326(f79(a1),x75831),x75831)),f2(a1)))
% 178.51/178.25 [8124]E(x81241,f326(a5,f2(a914)))+P106(f326(f326(f235(a914),f326(f326(f3(a914),f326(a22,x81241)),f326(a112,f2(a914)))),f326(a22,x81241)))
% 178.51/178.25 [8880]~P106(f326(f326(f235(a1),x88801),f2(a1)))+P106(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x88801),x88801)),a97)),f2(a1)))
% 178.51/178.25 [8977]~P106(f326(f326(f235(a1),x89771),f2(a1)))+P106(f326(f326(f235(a1),f326(f326(f79(a1),f326(f326(f79(a1),f77(a1)),x89771)),x89771)),f2(a1)))
% 178.51/178.25 [9295]P106(f326(f326(f235(a1),x92951),f2(a1)))+~P106(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x92951),x92951)),a97)),f2(a1)))
% 178.51/178.25 [9357]P106(f326(f326(f235(a1),x93571),f2(a1)))+~P106(f326(f326(f235(a1),f326(f326(f79(a1),f326(f326(f79(a1),f77(a1)),x93571)),x93571)),f2(a1)))
% 178.51/178.25 [4860]~E(a82,x48601)+E(f326(f326(f79(a1),x48601),x48601),a82)
% 178.51/178.25 [4861]~E(x48611,a82)+E(f326(f326(f79(a1),x48611),x48611),a82)
% 178.51/178.25 [4872]E(x48721,f2(a1))+E(f326(f326(f36(a1),x48721),x48721),f77(a1))
% 178.51/178.25 [5006]E(x50061,a82)+~E(f326(f326(f79(a1),x50061),x50061),a82)
% 178.51/178.25 [5007]E(a82,x50071)+~E(f326(f326(f79(a1),x50071),x50071),a82)
% 178.51/178.25 [5019]~P4(x50191)+E(f37(x50191,f188(f922(x50191,a910))),f188(x50191))
% 178.51/178.25 [5020]~P4(x50201)+E(f37(x50201,f241(f922(x50201,a910))),f241(x50201))
% 178.51/178.25 [5021]~P4(x50211)+E(f38(x50211,f188(f922(x50211,a910))),f241(x50211))
% 178.51/178.25 [5022]~P4(x50221)+E(f38(x50221,f241(f922(x50221,a910))),f188(x50221))
% 178.51/178.25 [5023]~P109(x50231)+E(f139(x50231,f188(f922(x50231,a910))),f113(x50231))
% 178.51/178.25 [5170]E(x51701,f2(a914))+P106(f326(f326(f235(a914),f2(a914)),x51701))
% 178.51/178.25 [5190]~P5(x51901)+P106(f326(f326(f234(a1),f2(a1)),x51901))
% 178.51/178.25 [5224]~E(f326(f103(a914),x52241),f2(a914))+P106(f326(f326(f234(a1),x52241),a82))
% 178.51/178.25 [5229]P40(x52291)+P106(f326(f326(f328(a1),f332(x52291)),x52291))
% 178.51/178.25 [5230]E(x52301,f326(a5,f2(a914)))+P106(f326(f326(f234(a99),f77(a99)),x52301))
% 178.51/178.25 [5271]P106(f326(a193,x52711))+P106(f326(f326(f234(a1),f2(a1)),x52711))
% 178.51/178.25 [5322]E(f326(f100(a1),f326(a104,x53221)),f2(a1))+P106(f326(f326(f234(a1),f2(a1)),x53221))
% 178.51/178.25 [5379]E(f326(f100(a1),f326(f103(a914),x53791)),f326(f103(a1),x53791))+P106(f326(a193,f326(f103(a1),x53791)))
% 178.51/178.25 [5405]E(f326(f103(a914),x54051),f2(a914))+~P106(f326(a193,f326(f103(a1),x54051)))
% 178.51/178.25 [5406]E(f326(f103(a914),x54061),f2(a914))+~P106(f326(f326(f234(a1),x54061),a82))
% 178.51/178.25 [5438]P5(x54381)+~P106(f326(f326(f234(a1),f2(a1)),x54381))
% 178.51/178.25 [5512]E(f326(a112,f817(x55121)),x55121)+~P106(f326(f326(f235(a914),f2(a914)),x55121))
% 178.51/178.25 [5521]E(f326(a112,f326(f103(a914),x55211)),f77(a914))+~P106(f326(a193,f326(f103(a1),x55211)))
% 178.51/178.25 [5528]E(f326(f100(a1),f341(x55281)),x55281)+~P106(f326(f326(f235(a1),f2(a1)),x55281))
% 178.51/178.25 [5535]~E(x55351,f326(a5,f2(a914)))+~P106(f326(f326(f234(a99),f77(a99)),x55351))
% 178.51/178.25 [5542]E(f326(f100(a1),f326(f103(a914),x55421)),f2(a1))+~P106(f326(a193,f326(f103(a1),x55421)))
% 178.51/178.25 [5568]E(f326(f165(a914),x55681),f2(a914))+P106(f326(f326(f328(a914),f580(x55681)),f326(f172(a914),x55681)))
% 178.51/178.25 [5588]E(f326(f100(a1),f326(a104,x55881)),x55881)+~P106(f326(f326(f234(a1),f2(a1)),x55881))
% 178.51/178.25 [5596]~P106(f326(a193,x55961))+~P106(f326(f326(f234(a1),f2(a1)),x55961))
% 178.51/178.25 [5696]E(f326(f326(f79(a914),f77(a914)),f326(f103(a914),x56961)),f77(a914))+~P106(f326(f326(f235(a1),x56961),a82))
% 178.51/178.25 [5761]E(x57611,f2(a914))+~P106(f326(f326(f235(a914),x57611),f326(a112,f2(a914))))
% 178.51/178.25 [5800]E(f326(f326(f3(a914),f326(f103(a914),x58001)),f77(a914)),f2(a914))+~P106(f326(f326(f234(a1),x58001),a82))
% 178.51/178.25 [5801]E(f326(f326(f79(a914),f326(f103(a914),x58011)),f77(a914)),f77(a914))+~P106(f326(f326(f235(a1),x58011),a82))
% 178.51/178.25 [5813]~P40(x58131)+E(f326(f35(a914),f326(f309(a1,a914,a104),x58131)),f326(f35(a1),x58131))
% 178.51/178.25 [5842]~P109(x58421)+E(f236(x58421,f326(f9(x58421,x58421,a910),f234(x58421))),f233(x58421))
% 178.51/178.25 [5843]~P109(x58431)+E(f237(x58431,f326(f9(x58431,x58431,a910),f234(x58431))),f232(x58431))
% 178.51/178.25 [5853]E(f45(a914,f326(a112,f2(a914)),f326(f103(a914),x58531)),f326(a112,f2(a914)))+~P106(f326(a193,f326(f103(a1),x58531)))
% 178.51/178.25 [5862]~P106(f326(f326(f235(a1),f2(a1)),x58621))+P106(f326(f326(f234(a1),f77(a1)),x58621))
% 178.51/178.25 [5863]P106(f326(f326(f235(a1),f2(a1)),x58631))+~P106(f326(f326(f234(a1),f77(a1)),x58631))
% 178.51/178.25 [5874]E(f326(a112,f326(f326(f3(a914),x58741),f77(a914))),x58741)+~P106(f326(f326(f235(a914),f2(a914)),x58741))
% 178.51/178.25 [5930]P106(f326(f326(f235(a914),f2(a914)),f341(x59301)))+~P106(f326(f326(f235(a1),f2(a1)),x59301))
% 178.51/178.25 [5991]E(f45(a1,f326(f103(a1),a97),x59911),f326(f326(f3(a1),x59911),f77(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x59911))
% 178.51/178.25 [6037]~P106(f326(f326(f235(a1),a82),x60371))+P106(f326(f326(f235(a914),f2(a914)),f326(f103(a914),x60371)))
% 178.51/178.25 [6042]E(f326(a22,f808(x60421)),x60421)+~P106(f326(f326(f328(a914),x60421),f241(f922(a914,a910))))
% 178.51/178.25 [6091]P106(f326(f326(f235(a914),f2(a914)),f326(a104,x60911)))+~P106(f326(f326(f235(a1),f2(a1)),x60911))
% 178.51/178.25 [6140]~P106(f326(f326(f235(a914),f2(a914)),x61401))+P106(f326(f326(f235(a1),f2(a1)),f326(f100(a1),x61401)))
% 178.51/178.25 [6175]~P106(f326(f326(f235(a914),f2(a914)),f326(a104,x61751)))+P106(f326(f326(f235(a1),f2(a1)),x61751))
% 178.51/178.25 [6189]~P40(x61891)+E(f326(f309(a914,a1,f100(a1)),f326(f309(a1,a914,a104),x61891)),x61891)
% 178.51/178.25 [6202]P106(f326(f326(f235(a1),a82),x62021))+~P106(f326(f326(f235(a914),f2(a914)),f326(f103(a914),x62021)))
% 178.51/178.25 [6261]P106(f326(f326(f235(a914),f2(a914)),x62611))+~P106(f326(f326(f235(a1),f2(a1)),f326(f100(a1),x62611)))
% 178.51/178.25 [6378]E(f326(f309(a914,a1,f100(a1)),f326(f281(a914),f326(a104,x63781))),f326(f301(a1,f2(a1)),x63781))+~P106(f326(f326(f234(a1),f2(a1)),x63781))
% 178.51/178.25 [6395]~P125(x63951)+P106(f326(f326(f235(x63951),f2(x63951)),f326(f326(f79(x63951),f77(x63951)),f77(x63951))))
% 178.51/178.25 [6445]P106(f326(f326(f235(a914),f326(a112,f2(a914))),f326(a104,x64451)))+~P106(f326(f326(f235(a1),f77(a1)),x64451))
% 178.51/178.25 [6545]E(x65451,f2(a1))+P106(f326(f49(f2(a1),x65451),f326(f326(f251(a1,a1),f2(a1)),f2(a1))))
% 178.51/178.25 [6715]~P106(f326(f326(f235(a914),f326(a112,f2(a914))),f326(a104,x67151)))+P106(f326(f326(f235(a1),f77(a1)),x67151))
% 178.51/178.25 [7142]~P118(x71421)+P37(x71421,f326(f261(f921(x71421,x71421)),f326(f256(x71421,x71421,a910),f235(x71421))))
% 178.51/178.25 [5748]E(f326(f103(a914),f326(f326(f3(a1),x57481),a97)),f326(a112,f326(f103(a914),x57481)))+P106(f326(a193,f326(f103(a1),x57481)))
% 178.51/178.25 [5764]~P36(x57641)+E(f326(f326(f154(a914,a1),f100(a1)),f326(f326(f154(a1,a914),a104),x57641)),x57641)
% 178.51/178.25 [5880]E(f326(f78(a1),f326(f100(a1),f326(a112,f376(x58801)))),x58801)+~P106(f326(f326(f235(a1),x58801),f2(a1)))
% 178.51/178.25 [5890]E(f326(f326(f79(a914),f77(a914)),f326(f103(a914),x58901)),f326(f103(a914),f326(f326(f3(a1),x58901),a97)))+P106(f326(f326(f235(a1),x58901),a82))
% 178.51/178.25 [5932]E(f326(f326(f36(a1),f326(f103(a1),a97)),x59321),f326(f103(a1),a97))+~P106(f326(f326(f235(a1),f2(a1)),x59321))
% 178.51/178.25 [6033]E(f326(f326(f3(a914),f326(f103(a914),x60331)),f77(a914)),f326(f103(a914),f326(f326(f79(a1),x60331),a97)))+P106(f326(f326(f234(a1),x60331),a82))
% 178.51/178.25 [6034]E(f326(f326(f79(a914),f326(f103(a914),x60341)),f77(a914)),f326(f103(a914),f326(f326(f3(a1),x60341),a97)))+P106(f326(f326(f235(a1),x60341),a82))
% 178.51/178.25 [6078]E(f326(a104,f326(f326(f79(a1),f77(a1)),x60781)),f326(a112,f326(a104,x60781)))+~P106(f326(f326(f234(a1),f2(a1)),x60781))
% 178.51/178.25 [6112]E(f326(a112,f326(f326(f3(a914),x61121),f326(a112,f2(a914)))),x61121)+~P106(f326(f326(f235(a914),f2(a914)),x61121))
% 178.51/178.25 [6328]E(f45(a914,f326(a112,f2(a914)),f326(f103(a914),x63281)),f326(a104,f45(a1,f77(a1),f326(f103(a1),x63281))))+P106(f326(a193,f326(f103(a1),x63281)))
% 178.51/178.25 [6371]~P106(f326(f326(f234(a1),a82),x63711))+P106(f326(f326(f234(a1),a82),f326(f326(f79(a1),x63711),x63711)))
% 178.51/178.25 [6372]~P106(f326(f326(f235(a1),a97),x63721))+P106(f326(f326(f234(a1),a97),f326(f326(f79(a1),x63721),x63721)))
% 178.51/178.25 [6373]~P106(f326(f326(f235(a1),a82),x63731))+P106(f326(f326(f235(a1),a82),f326(f326(f79(a1),x63731),x63731)))
% 178.51/178.25 [6374]~P106(f326(f326(f235(a1),a97),x63741))+P106(f326(f326(f235(a1),a97),f326(f326(f79(a1),x63741),x63741)))
% 178.51/178.25 [6559]~P106(f326(f61(x65591),f241(f922(x65591,a910))))+P106(f326(f61(f918(x65591)),f241(f922(f918(x65591),a910))))
% 178.51/178.25 [6645]~P106(f326(f326(f234(a1),f2(a1)),x66451))+P106(f326(f326(f235(a1),f2(a1)),f326(f326(f79(a1),f77(a1)),x66451)))
% 178.51/178.25 [6652]E(f326(f250(a1,a1),f47(f77(a1),f326(f103(a1),x66521))),f326(f326(f36(a1),f77(a1)),f326(f103(a1),x66521)))+~P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x66521)))
% 178.51/178.25 [6674]E(f326(f255(a1,a1),f47(f77(a1),f326(f103(a1),x66741))),f45(a1,f77(a1),f326(f103(a1),x66741)))+~P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x66741)))
% 178.51/178.25 [6686]P106(f326(f61(x66861),f241(f922(x66861,a910))))+~P106(f326(f61(f918(x66861)),f241(f922(f918(x66861),a910))))
% 178.51/178.25 [6716]P106(f326(f326(f234(a1),a82),x67161))+~P106(f326(f326(f234(a1),a82),f326(f326(f79(a1),x67161),x67161)))
% 178.51/178.25 [6717]P106(f326(f326(f235(a1),a82),x67171))+~P106(f326(f326(f235(a1),a82),f326(f326(f79(a1),x67171),x67171)))
% 178.51/178.25 [6718]P106(f326(f326(f235(a1),a97),x67181))+~P106(f326(f326(f234(a1),a97),f326(f326(f79(a1),x67181),x67181)))
% 178.51/178.25 [6719]P106(f326(f326(f235(a1),a97),x67191))+~P106(f326(f326(f235(a1),a97),f326(f326(f79(a1),x67191),x67191)))
% 178.51/178.25 [7035]~P106(f326(f61(x70351),f241(f922(x70351,a910))))+P106(f326(f326(f235(a914),f2(a914)),f326(f35(x70351),f241(f922(x70351,a910)))))
% 178.51/178.25 [7622]P106(f326(f61(a914),x76221))+~P106(f326(f61(a1),f326(f309(a914,a1,f100(a1)),x76221)))
% 178.51/178.25 [5671]~E(a97,x56711)+E(f326(f326(f3(a1),f326(f326(f79(a1),x56711),x56711)),a97),a97)
% 178.51/178.25 [5672]~E(x56721,a97)+E(f326(f326(f3(a1),f326(f326(f79(a1),x56721),x56721)),a97),a97)
% 178.51/178.25 [6197]E(x61971,a97)+~E(f326(f326(f3(a1),f326(f326(f79(a1),x61971),x61971)),a97),a97)
% 178.51/178.25 [6198]E(a97,x61981)+~E(f326(f326(f3(a1),f326(f326(f79(a1),x61981),x61981)),a97),a97)
% 178.51/178.25 [6614]~E(f326(f103(a914),x66141),f2(a914))+P106(f326(a193,f326(f103(a1),f326(f326(f79(a1),x66141),a97))))
% 178.51/178.25 [6965]~P106(f326(a193,f326(f103(a1),x69651)))+P106(f326(a193,f326(f103(a1),f326(f326(f79(a1),x69651),x69651))))
% 178.51/178.25 [6966]~P106(f326(f326(f234(a1),x69661),a82))+P106(f326(f326(f234(a1),f326(f326(f79(a1),x69661),x69661)),a82))
% 178.51/178.25 [6967]~P106(f326(f326(f234(a1),x69671),a97))+P106(f326(f326(f234(a1),f326(f326(f79(a1),x69671),x69671)),a97))
% 178.51/178.25 [6968]~P106(f326(f326(f235(a1),x69681),a82))+P106(f326(f326(f235(a1),f326(f326(f79(a1),x69681),x69681)),a82))
% 178.51/178.25 [6969]~P106(f326(f326(f234(a1),x69691),a97))+P106(f326(f326(f235(a1),f326(f326(f79(a1),x69691),x69691)),a97))
% 178.51/178.25 [7288]E(f326(f103(a914),x72881),f2(a914))+~P106(f326(a193,f326(f103(a1),f326(f326(f79(a1),x72881),a97))))
% 178.51/178.25 [7537]~P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x75371)))+P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),f326(f326(f79(a1),x75371),x75371))))
% 178.51/178.25 [7538]P106(f326(a193,f326(f103(a1),x75381)))+~P106(f326(a193,f326(f103(a1),f326(f326(f79(a1),x75381),x75381))))
% 178.51/178.25 [7539]P106(f326(f326(f234(a1),x75391),a82))+~P106(f326(f326(f234(a1),f326(f326(f79(a1),x75391),x75391)),a82))
% 178.51/178.25 [7540]P106(f326(f326(f234(a1),x75401),a97))+~P106(f326(f326(f234(a1),f326(f326(f79(a1),x75401),x75401)),a97))
% 178.51/178.25 [7541]P106(f326(f326(f234(a1),x75411),a97))+~P106(f326(f326(f235(a1),f326(f326(f79(a1),x75411),x75411)),a97))
% 178.51/178.25 [7542]P106(f326(f326(f235(a1),x75421),a82))+~P106(f326(f326(f235(a1),f326(f326(f79(a1),x75421),x75421)),a82))
% 178.51/178.25 [7897]E(f326(a106,f525(x78971)),x78971)+~P106(f326(f326(f328(f922(f921(a914,a914),a910)),x78971),a98))
% 178.51/178.25 [6532]~P95(x65321)+E(f326(f103(x65321),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f77(x65321))
% 178.51/178.25 [7015]~P106(f326(a193,f326(f103(a1),x70151)))+E(f326(f103(a914),f326(f326(f3(a1),f326(f326(f79(a1),x70151),x70151)),a97)),f2(a914))
% 178.51/178.25 [8070]~P106(f326(f326(f235(a1),f326(f103(a1),x80701)),f2(a1)))+E(f326(f250(a1,a1),f326(a51,f50(f326(f78(a1),f77(a1)),f326(f78(a1),f326(f103(a1),x80701))))),f326(f326(f36(a1),f77(a1)),f326(f103(a1),x80701)))
% 178.51/178.25 [8083]~P106(f326(f326(f235(a1),f326(f103(a1),x80831)),f2(a1)))+E(f326(f255(a1,a1),f326(a51,f50(f326(f78(a1),f77(a1)),f326(f78(a1),f326(f103(a1),x80831))))),f45(a1,f77(a1),f326(f103(a1),x80831)))
% 178.51/178.25 [8131]~P106(f326(f326(f234(a1),a82),x81311))+P106(f326(f326(f234(a1),a82),f326(f326(f3(a1),f326(f326(f79(a1),x81311),x81311)),a97)))
% 178.51/178.25 [8132]~P106(f326(f326(f234(a1),a97),x81321))+P106(f326(f326(f234(a1),a97),f326(f326(f3(a1),f326(f326(f79(a1),x81321),x81321)),a97)))
% 178.51/178.25 [8133]~P106(f326(f326(f234(a1),a82),x81331))+P106(f326(f326(f235(a1),a82),f326(f326(f3(a1),f326(f326(f79(a1),x81331),x81331)),a97)))
% 178.51/178.25 [8134]~P106(f326(f326(f235(a1),a97),x81341))+P106(f326(f326(f235(a1),a97),f326(f326(f3(a1),f326(f326(f79(a1),x81341),x81341)),a97)))
% 178.51/178.25 [8425]~P95(x84251)+~P27(x84251,f326(f103(x84251),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))
% 178.51/178.25 [8606]P106(f326(f326(f234(a1),a82),x86061))+~P106(f326(f326(f234(a1),a82),f326(f326(f3(a1),f326(f326(f79(a1),x86061),x86061)),a97)))
% 178.51/178.25 [8607]P106(f326(f326(f234(a1),a82),x86071))+~P106(f326(f326(f235(a1),a82),f326(f326(f3(a1),f326(f326(f79(a1),x86071),x86071)),a97)))
% 178.51/178.25 [8608]P106(f326(f326(f234(a1),a97),x86081))+~P106(f326(f326(f234(a1),a97),f326(f326(f3(a1),f326(f326(f79(a1),x86081),x86081)),a97)))
% 178.51/178.25 [8609]P106(f326(f326(f235(a1),a97),x86091))+~P106(f326(f326(f235(a1),a97),f326(f326(f3(a1),f326(f326(f79(a1),x86091),x86091)),a97)))
% 178.51/178.25 [8927]E(f326(f103(a914),f326(f326(f3(a1),f326(f326(f79(a1),x89271),x89271)),a97)),f326(f326(f85(a914,a914),f326(f103(a914),x89271)),f326(f326(f10(a914,a914,a914),a112),f326(f326(f20(a914,a914,a914),f79(a914)),f7(a914)))))+P106(f326(a193,f326(f103(a1),x89271)))
% 178.51/178.25 [9790]E(x97901,f188(f922(f921(a914,a914),a910)))+P106(f326(f326(f328(f921(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910))),f326(f326(f251(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910)),x97901),f188(f922(f921(a914,a914),a910)))),a33))
% 178.51/178.25 [8854]~P106(f326(a193,f326(f103(a1),x88541)))+P106(f326(a193,f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),x88541),x88541)),a97))))
% 178.51/178.25 [8855]~P106(f326(f326(f235(a1),x88551),a82))+P106(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x88551),x88551)),a97)),a82))
% 178.51/178.25 [8856]~P106(f326(f326(f234(a1),x88561),a97))+P106(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x88561),x88561)),a97)),a97))
% 178.51/178.25 [8857]~P106(f326(f326(f235(a1),x88571),a82))+P106(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x88571),x88571)),a97)),a82))
% 178.51/178.25 [8858]~P106(f326(f326(f235(a1),x88581),a97))+P106(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x88581),x88581)),a97)),a97))
% 178.51/178.25 [8968]~P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x89681)))+P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),x89681),x89681)),a97))))
% 178.51/178.25 [9126]~P95(x91261)+E(f326(f326(f79(x91261),f77(x91261)),f77(x91261)),f326(f103(x91261),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))
% 178.51/178.25 [9279]P106(f326(a193,f326(f103(a1),x92791)))+~P106(f326(a193,f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),x92791),x92791)),a97))))
% 178.51/178.25 [9280]P106(f326(f326(f234(a1),x92801),a97))+~P106(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x92801),x92801)),a97)),a97))
% 178.51/178.25 [9281]P106(f326(f326(f235(a1),x92811),a82))+~P106(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x92811),x92811)),a97)),a82))
% 178.51/178.25 [9282]P106(f326(f326(f235(a1),x92821),a82))+~P106(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x92821),x92821)),a97)),a82))
% 178.51/178.25 [9283]P106(f326(f326(f235(a1),x92831),a97))+~P106(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x92831),x92831)),a97)),a97))
% 178.51/178.25 [9835]~P106(f326(f61(f921(a914,a914)),x98351))+P106(f326(f326(f328(f921(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910))),f326(f326(f251(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910)),f188(f922(f921(a914,a914),a910))),x98351)),a69))
% 178.51/178.25 [9611]~P144(x96111)+E(f326(f326(f243(x96111),f77(x96111)),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f77(x96111))
% 178.51/178.25 [9612]~P144(x96121)+E(f326(f326(f243(x96121),f2(x96121)),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f2(x96121))
% 178.51/178.25 [10059]~P106(f326(f326(f235(a914),f77(a914)),x100591))+P106(f326(f326(f235(a914),f2(a914)),f326(f326(f36(a914),x100591),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 178.51/178.25 [10065]~P106(f326(f326(f235(a914),f2(a914)),x100651))+P106(f326(f326(f235(a914),f2(a914)),f326(f326(f36(a914),f326(f326(f79(a914),x100651),f77(a914))),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 178.51/178.25 [10105]~E(f45(a914,x101051,f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f77(a914))+P106(f326(f326(f235(a914),f2(a914)),f45(a914,x101051,f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 178.51/178.25 [10124]E(f45(a914,x101241,f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f77(a914))+~P106(f326(f326(f235(a914),f2(a914)),f45(a914,x101241,f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 178.51/178.25 [4788]~P6(x47881,x47882)+P43(x47881,x47882)
% 178.51/178.25 [4789]~P37(x47891,x47892)+P57(x47891,x47892)
% 178.51/178.25 [4790]~P44(x47901,x47902)+P57(x47901,x47902)
% 178.51/178.25 [4792]~P6(x47921,x47922)+P49(x47921,x47922)
% 178.51/178.25 [4794]~P14(x47941,x47942)+P49(x47941,x47942)
% 178.51/178.25 [4796]~P6(x47961,x47962)+P50(x47961,x47962)
% 178.51/178.25 [4798]~P14(x47981,x47982)+P50(x47981,x47982)
% 178.51/178.25 [4799]~P6(x47991,x47992)+P14(x47991,x47992)
% 178.51/178.25 [4749]~E(x47491,x47492)+E(f268(x47491,x47492),f77(a99))
% 178.51/178.25 [4752]E(f216(x47521,x47522),x47521)+~E(x47522,f2(a914))
% 178.51/178.25 [4759]~E(x47592,f113(x47591))+E(f152(x47591,x47592),f113(x47591))
% 178.51/178.25 [4778]~E(f152(x47782,x47781),f113(x47782))+E(x47781,f113(x47782))
% 178.51/178.25 [4803]~P1(x48032)+P1(f922(x48031,x48032))
% 178.51/178.25 [4804]~P107(x48042)+P107(f922(x48041,x48042))
% 178.51/178.25 [4805]~P108(x48052)+P108(f922(x48051,x48052))
% 178.51/178.25 [4806]~P110(x48062)+P110(f922(x48061,x48062))
% 178.51/178.25 [4807]~P2(x48072)+P2(f922(x48071,x48072))
% 178.51/178.25 [4808]~P78(x48082)+P78(f922(x48081,x48082))
% 178.51/178.25 [4809]~P98(x48092)+P79(f922(x48091,x48092))
% 178.51/178.25 [4810]~P78(x48102)+P101(f922(x48101,x48102))
% 178.51/178.25 [4811]~P78(x48112)+P102(f922(x48111,x48112))
% 178.51/178.25 [4812]~P99(x48122)+P99(f922(x48121,x48122))
% 178.51/178.25 [4813]~P4(x48132)+P4(f922(x48131,x48132))
% 178.51/178.25 [4814]~P96(x48142)+P96(f922(x48141,x48142))
% 178.51/178.25 [4815]~P90(x48152)+P90(f922(x48151,x48152))
% 178.51/178.25 [4816]~P117(x48162)+P117(f922(x48161,x48162))
% 178.51/178.25 [4817]~P98(x48172)+P100(f922(x48171,x48172))
% 178.51/178.25 [4818]~P98(x48182)+P98(f922(x48181,x48182))
% 178.51/178.25 [4831]E(x48311,x48312)+~E(f326(a112,x48311),f326(a112,x48312))
% 178.51/178.25 [4832]E(x48321,x48322)+~E(f326(a106,x48321),f326(a106,x48322))
% 178.51/178.25 [4833]E(x48331,x48332)+~E(f326(a5,x48331),f326(a5,x48332))
% 178.51/178.25 [4835]E(x48351,x48352)+~E(f326(a22,x48351),f326(a22,x48352))
% 178.51/178.25 [4888]P39(x48881,x48882)+~E(f705(x48882,x48881),f706(x48882,x48881))
% 178.51/178.25 [4918]~P57(x49181,x49182)+P39(x49181,f306(x49181,x49182))
% 178.51/178.25 [4919]~P51(x49191,x49192)+P51(x49191,f306(x49191,x49192))
% 178.51/178.25 [4932]~P60(x49321)+E(f45(x49321,x49322,x49322),f2(x49321))
% 178.51/178.25 [4966]~P37(x49661,x49662)+P37(f915(x49661),f146(x49661,x49662))
% 178.51/178.25 [4967]~P37(x49671,x49672)+P37(f915(x49671),f145(x49671,x49672))
% 178.51/178.25 [4968]~P38(x49681,x49682)+P38(f915(x49681),f147(x49681,x49682))
% 178.51/178.25 [4969]~P38(x49691,x49692)+P38(f915(x49691),f158(x49691,x49692))
% 178.51/178.25 [4970]~P51(x49701,x49702)+P51(f915(x49701),f158(x49701,x49702))
% 178.51/178.25 [5067]~P37(x50671,x50672)+P37(f922(x50671,a910),f317(x50671,x50672))
% 178.51/178.25 [5068]~P37(x50681,x50682)+P37(f922(x50681,a910),f318(x50681,x50682))
% 178.51/178.25 [5199]~P5(x51991)+P40(f302(a1,x51991,x51992))
% 178.51/178.25 [5303]~P37(x53031,x53032)+P59(x53031,f67(x53031,x53031,x53032))
% 178.51/178.25 [5807]~P80(x58071)+P24(x58071,x58071,f78(x58071),x58072)
% 178.51/178.25 [4773]~E(x47732,f113(x47731))+E(f326(f167(x47731),x47732),f113(x47731))
% 178.51/178.25 [4774]~E(x47742,f113(x47741))+E(f326(f168(x47741),x47742),f113(x47741))
% 178.51/178.25 [4837]E(x48371,f326(a104,x48372))+~E(f326(f100(a1),x48371),x48372)
% 178.51/178.25 [4840]E(x48401,f113(x48402))+~E(f326(f167(x48402),x48401),f113(x48402))
% 178.51/178.25 [4841]E(x48411,f113(x48412))+~E(f326(f168(x48412),x48411),f113(x48412))
% 178.51/178.25 [4857]~P95(x48571)+E(f326(f103(x48571),x48572),f326(f102(x48571),x48572))
% 178.51/178.25 [4865]~P3(x48651)+P106(f326(f61(x48651),x48652))
% 178.51/178.25 [4873]~E(f666(x48732,x48731),f113(x48731))+E(f179(x48731,x48732),f113(f915(x48731)))
% 178.51/178.25 [4882]~E(x48822,f113(x48821))+E(f326(f172(x48821),x48822),f188(f922(x48821,a910)))
% 178.51/178.25 [4883]~E(x48832,f113(x48831))+E(f188(f922(x48831,a910)),f326(f172(x48831),x48832))
% 178.51/178.25 [4885]E(x48851,x48852)+~E(f326(f100(a1),x48851),f326(f100(a1),x48852))
% 178.51/178.25 [4889]E(f214(x48891,x48892),f2(a914))+P106(f326(f61(x48891),x48892))
% 178.51/178.25 [4907]~P119(x49071)+E(f81(x49071,f81(x49071,x49072)),f81(x49071,x49072))
% 178.51/178.25 [4921]~P113(x49211)+E(f326(f326(f243(x49211),x49212),f77(a914)),x49212)
% 178.51/178.25 [4922]~P82(x49221)+E(f326(f326(f243(x49221),x49222),f77(a914)),x49222)
% 178.51/178.25 [4923]~P51(x49231,x49232)+E(f326(f285(x49231,x49231),x49232),x49232)
% 178.51/178.25 [4927]E(x49271,x49272)+E(f268(x49271,x49272),f326(f326(f79(a99),x49272),f77(a99)))
% 178.51/178.25 [4930]E(f326(f35(x49301),x49302),f2(a914))+P106(f326(f61(x49301),x49302))
% 178.51/178.25 [4933]~E(f152(x49331,x49332),x49332)+P106(f326(f137(x49331),x49332))
% 178.51/178.25 [4936]~P79(x49361)+E(f326(f326(f110(x49361),x49362),f188(x49361)),x49362)
% 178.51/178.25 [4937]~P74(x49371)+E(f326(f326(f3(x49371),x49372),f2(x49371)),x49372)
% 178.51/178.25 [4938]~P113(x49381)+E(f326(f326(f80(x49381),x49382),f77(x49381)),x49382)
% 178.51/178.25 [4939]~P75(x49391)+E(f326(f326(f80(x49391),x49392),f77(x49391)),x49392)
% 178.51/178.25 [4940]~P82(x49401)+E(f326(f326(f80(x49401),x49402),f77(x49401)),x49402)
% 178.51/178.25 [4941]~P100(x49411)+E(f326(f326(f101(x49411),x49412),f241(x49411)),x49412)
% 178.51/178.25 [4942]~P70(x49421)+E(f326(f326(f79(x49421),x49422),f2(x49421)),x49422)
% 178.51/178.25 [4943]~P113(x49431)+E(f326(f326(f79(x49431),x49432),f2(x49431)),x49432)
% 178.51/178.25 [4944]~P83(x49441)+E(f326(f326(f79(x49441),x49442),f2(x49441)),x49442)
% 178.51/178.25 [4945]~P122(x49451)+E(f326(f326(f289(x49451),x49452),f77(x49451)),x49452)
% 178.51/178.25 [4946]~P60(x49461)+E(f326(f326(f36(x49461),x49462),f77(x49461)),x49462)
% 178.51/178.25 [4947]~P113(x49471)+E(f326(f326(f243(x49471),x49472),f2(a914)),f77(x49471))
% 178.51/178.25 [4948]~P116(x49481)+E(f326(f326(f243(x49481),x49482),f2(a914)),f77(x49481))
% 178.51/178.25 [4949]~E(x49492,f188(f922(x49491,a910)))+E(f326(f35(x49491),x49492),f2(a914))
% 178.51/178.25 [4960]~P60(x49601)+E(f45(x49601,x49602,f2(x49601)),x49602)
% 178.51/178.25 [4971]~P100(x49711)+E(f326(f326(f110(x49711),x49712),f241(x49711)),f241(x49711))
% 178.51/178.25 [4972]~P113(x49721)+E(f326(f326(f80(x49721),x49722),f2(x49721)),f2(x49721))
% 178.51/178.25 [4973]~P131(x49731)+E(f326(f326(f80(x49731),x49732),f2(x49731)),f2(x49731))
% 178.51/178.25 [4974]~P79(x49741)+E(f326(f326(f101(x49741),x49742),f188(x49741)),f188(x49741))
% 178.51/178.25 [4975]~P123(x49751)+E(f326(f326(f289(x49751),x49752),f2(x49751)),f2(x49751))
% 178.51/178.25 [4976]~P60(x49761)+E(f326(f326(f36(x49761),x49762),f2(x49761)),f2(x49761))
% 178.51/178.25 [4978]~P60(x49781)+E(f45(x49781,x49782,f77(x49781)),f2(x49781))
% 178.51/178.25 [4979]~P60(x49791)+E(f45(x49791,f2(x49791),x49792),f2(x49791))
% 178.51/178.25 [5008]E(x50081,f2(a914))+E(f55(x50082,x50081,f113(x50082)),f113(f915(x50082)))
% 178.51/178.25 [5031]P51(x50311,x50312)+~E(f326(f285(x50311,x50311),x50312),x50312)
% 178.51/178.25 [5032]P37(x50321,x50322)+~E(f581(x50322,x50321),f188(f922(x50321,a910)))
% 178.51/178.25 [5033]E(x50331,f113(x50332))+~E(f326(f172(x50332),x50331),f188(f922(x50332,a910)))
% 178.51/178.25 [5034]E(x50341,f113(x50342))+~E(f188(f922(x50342,a910)),f326(f172(x50342),x50341))
% 178.51/178.25 [5037]~E(x50371,x50372)+P106(f326(f326(a323,x50371),x50372))
% 178.51/178.25 [5047]P106(x50471)+P106(f326(f326(a329,x50471),x50472))
% 178.51/178.25 [5048]E(x50481,f113(x50482))+E(f326(f326(f164(x50482),x50481),f2(a914)),f326(f141(x50482),x50481))
% 178.51/178.25 [5051]E(f152(x50511,x50512),x50512)+~P106(f326(f137(x50511),x50512))
% 178.51/178.25 [5058]~P106(x50582)+P106(f326(f326(a324,x50581),x50582))
% 178.51/178.25 [5059]~P106(x50591)+P106(f326(f326(a324,x50591),x50592))
% 178.51/178.25 [5060]~P106(x50602)+P106(f326(f326(a329,x50601),x50602))
% 178.51/178.25 [5070]~E(f667(x50702,x50701),f671(x50702,x50701))+P106(f326(f137(x50701),x50702))
% 178.51/178.25 [5077]E(f326(f261(x50771),x50772),f188(f922(x50771,a910)))+P106(f326(x50772,f505(x50772)))
% 178.51/178.25 [5078]E(f188(f922(x50781,a910)),f326(f261(x50781),x50782))+P106(f326(x50782,f506(x50782)))
% 178.51/178.25 [5151]~P119(x51511)+E(f326(f326(f80(x51511),x51512),f81(x51511,x51512)),f326(f75(x51511),x51512))
% 178.51/178.25 [5163]~E(x51631,f2(a1))+E(f46(x51631,x51632),f326(f326(f251(a1,a1),f2(a1)),f2(a1)))
% 178.51/178.25 [5195]~P57(x51951,x51952)+P57(x51951,f326(f285(x51951,x51951),x51952))
% 178.51/178.25 [5196]~P38(x51961,x51962)+P38(x51961,f326(f285(x51961,x51961),x51962))
% 178.51/178.25 [5197]~P39(x51971,x51972)+P39(x51971,f326(f285(x51971,x51971),x51972))
% 178.51/178.25 [5198]~P51(x51981,x51982)+P51(x51981,f326(f285(x51981,x51981),x51982))
% 178.51/178.25 [5220]E(x52201,x52202)+~P106(f326(f326(a323,x52201),x52202))
% 178.51/178.25 [5231]P106(x52311)+~P106(f326(f326(a325,x52312),x52311))
% 178.51/178.25 [5232]P106(x52321)+~P106(f326(f326(a325,x52321),x52322))
% 178.51/178.25 [5237]~P117(x52371)+P106(f326(f326(f234(x52371),x52372),f241(x52371)))
% 178.51/178.25 [5238]~P113(x52381)+P106(f326(f326(f286(x52381),x52382),f2(x52381)))
% 178.51/178.25 [5242]E(x52421,x52422)+~E(f326(x52421,f333(x52422,x52421)),f326(x52422,f333(x52422,x52421)))
% 178.51/178.25 [5273]E(x52731,f2(a914))+E(f216(x52731,f45(a914,x52732,x52731)),f216(x52732,x52731))
% 178.51/178.25 [5278]~P109(x52781)+P12(x52781,f326(f326(f151(x52781),x52782),f113(x52781)))
% 178.51/178.25 [5280]E(x52801,f2(a1))+P106(f326(f49(x52802,x52801),f46(x52802,x52801)))
% 178.51/178.25 [5298]~P14(x52982,x52981)+P106(f326(f326(x52981,f800(x52981)),f800(x52981)))
% 178.51/178.25 [5301]~E(x53011,x53012)+P106(f326(f326(f235(a914),x53011),f326(a112,x53012)))
% 178.51/178.25 [5311]~E(x53111,f2(a914))+P106(f326(f326(f235(a914),x53111),f326(a112,x53112)))
% 178.51/178.25 [5321]P106(f326(x53211,x53212))+P106(f326(f326(f234(a1),f2(a1)),f366(x53211)))
% 178.51/178.25 [5384]E(f326(f326(f308(x53842),f370(x53842,x53841)),f433(x53842,x53841)),x53841)+E(x53841,f188(f922(x53842,a910)))
% 178.51/178.25 [5385]P57(x53851,x53852)+~P57(x53851,f326(f285(x53851,x53851),x53852))
% 178.51/178.25 [5386]P38(x53861,x53862)+~P38(x53861,f326(f285(x53861,x53861),x53862))
% 178.51/178.25 [5387]P39(x53871,x53872)+~P39(x53871,f326(f285(x53871,x53871),x53872))
% 178.51/178.25 [5388]P51(x53881,x53882)+~P51(x53881,f326(f285(x53881,x53881),x53882))
% 178.51/178.25 [5391]~E(f45(a914,x53912,x53911),f2(a914))+E(f326(f326(f80(a914),x53911),f371(x53911,x53912)),x53912)
% 178.51/178.25 [5392]~E(f45(a1,x53922,x53921),f2(a1))+E(f326(f326(f80(a1),x53921),f335(x53921,x53922)),x53922)
% 178.51/178.25 [5419]~P106(f326(x54191,x54192))+P106(f326(f326(f234(a1),f2(a1)),f334(x54191)))
% 178.51/178.25 [5430]E(f326(f326(f3(a914),f326(a104,x54301)),f326(a104,x54302)),f326(a104,x54301))+~P106(f326(a193,x54302))
% 178.51/178.25 [5459]E(f271(x54591,x54592),f77(a99))+~P106(f326(f326(f234(a99),x54591),f77(a99)))
% 178.51/178.25 [5543]~P106(f326(f326(a924,x55431),x55432))+P106(f326(f326(a925,x55431),x55432))
% 178.51/178.25 [5554]E(f326(f326(f164(x55541),x55542),f667(x55542,x55541)),f326(f326(f164(x55541),x55542),f671(x55542,x55541)))+P106(f326(f137(x55541),x55542))
% 178.51/178.25 [5597]~P106(f326(x55971,f89(x55972,x55971)))+P106(f326(x55971,f582(x55972,x55971)))
% 178.51/178.25 [5661]P59(x56611,x56612)+~P106(f326(f314(x56611,x56612),f539(x56612,x56611)))
% 178.51/178.25 [5804]~P14(x58042,x58041)+P106(f326(f326(x58041,f803(x58041,x58042)),f803(x58041,x58042)))
% 178.51/178.25 [5805]~P14(x58052,x58051)+P106(f326(f326(x58051,f806(x58051,x58052)),f806(x58051,x58052)))
% 178.51/178.25 [5814]~E(f326(a112,f45(a914,x58141,x58142)),x58142)+E(f45(a914,f326(a112,x58141),x58142),f2(a914))
% 178.51/178.25 [5869]P37(x58691,x58692)+P106(f326(f326(f328(x58691),f598(x58692,x58691)),f599(x58692,x58691)))
% 178.51/178.25 [5876]~P95(x58761)+P106(f326(f326(f328(x58761),f326(f103(x58761),x58762)),f109(x58761)))
% 178.51/178.25 [5877]~P141(x58771)+P106(f326(f326(f328(x58771),f326(f100(x58771),x58772)),f109(x58771)))
% 178.51/178.25 [5878]~P144(x58781)+P106(f326(f326(f328(x58781),f326(f100(x58781),x58782)),f186(x58781)))
% 178.51/178.25 [5879]~P141(x58791)+P106(f326(f326(f328(x58791),f326(f102(x58791),x58792)),f109(x58791)))
% 178.51/178.25 [6022]~P38(x60221,x60222)+E(f326(f326(f288(x60221,x60221,x60221),x60222),f306(x60221,x60222)),x60222)
% 178.51/178.25 [6036]E(f326(a112,f45(a914,x60361,x60362)),x60362)+E(f45(a914,f326(a112,x60361),x60362),f326(a112,f45(a914,x60361,x60362)))
% 178.51/178.25 [6458]P37(x64581,x64582)+~P106(f326(f326(f328(x64581),f540(x64582,x64581)),f315(x64581,x64582)))
% 178.51/178.25 [6495]~P125(x64951)+~P106(f326(f326(f235(x64951),f326(f100(x64951),x64952)),f2(x64951)))
% 178.51/178.25 [6496]~P87(x64961)+~P106(f326(f326(f235(x64961),f326(f75(x64961),x64962)),f2(x64961)))
% 178.51/178.25 [6528]E(x65281,f188(f922(x65282,a910)))+~P106(f326(f326(f328(x65282),f370(x65282,x65281)),f433(x65282,x65281)))
% 178.51/178.25 [6586]P106(f326(f326(f235(a1),x65861),f45(a1,x65862,x65861)))+~P106(f326(f326(f235(a1),x65861),f2(a1)))
% 178.51/178.25 [6688]E(f326(f326(f308(a914),f326(a112,x66881)),f302(a914,x66882,x66881)),f302(a914,x66882,f326(a112,x66881)))+~P106(f326(f326(f234(a914),x66882),f326(a112,x66881)))
% 178.51/178.25 [6778]~P109(x67781)+P12(x67781,f150(x67781,x67781,f7(x67781),x67782))
% 178.51/178.25 [6908]E(f326(f167(x69081),x69082),x69082)+~P106(f326(f326(f234(a914),f326(f189(f915(x69081)),x69082)),f77(a914)))
% 178.51/178.25 [6928]~P87(x69281)+P106(f326(f326(f234(x69281),f326(f78(x69281),f326(f75(x69281),x69282))),f2(x69281)))
% 178.51/178.25 [6961]~P37(x69611,x69612)+P37(x69611,f326(f326(f288(x69611,x69611,x69611),x69612),f306(x69611,x69612)))
% 178.51/178.25 [6962]~P51(x69621,x69622)+P51(x69621,f326(f326(f288(x69621,x69621,x69621),x69622),f306(x69621,x69622)))
% 178.51/178.25 [7181]~P106(f326(f326(f235(a1),x71812),f2(a1)))+P106(f326(f326(f234(a1),f45(a1,x71811,x71812)),f2(a1)))
% 178.51/178.25 [7578]~P144(x75781)+E(f190(x75781,f326(f326(f9(x75781,x75781,x75781),f79(x75781)),f77(x75781)),x75782,f2(x75781)),f326(f100(x75781),x75782))
% 178.51/178.25 [7608]~P127(x76081)+~P106(f326(f326(f235(x76081),f326(f326(f80(x76081),x76082),x76082)),f2(x76081)))
% 178.51/178.25 [10211]~P119(x102111)+~P106(f326(f326(f235(x102111),f326(f326(f243(x102111),x102112),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f2(x102111)))
% 178.51/178.25 [4838]~E(x48382,f113(x48381))+E(f326(f189(f915(x48381)),x48382),f2(a914))
% 178.51/178.25 [4874]~E(x48741,f2(a914))+E(f326(f326(f79(a914),x48741),x48742),x48742)
% 178.51/178.25 [4875]~E(x48752,f2(a914))+E(f326(f326(f80(a914),x48751),x48752),f2(a914))
% 178.51/178.25 [4877]~E(x48771,f2(a914))+E(f326(f326(f80(a914),x48771),x48772),f2(a914))
% 178.51/178.25 [4878]~E(x48782,f2(a1))+E(f326(f326(f36(a1),x48781),x48782),f2(a1))
% 178.51/178.25 [4879]~E(x48792,f2(a914))+E(f326(f326(f243(a914),x48791),x48792),f77(a914))
% 178.51/178.25 [4890]E(x48901,f113(x48902))+~E(f326(f189(f915(x48902)),x48901),f2(a914))
% 178.51/178.25 [4891]~P78(x48911)+E(f326(f326(f110(x48911),x48912),x48912),x48912)
% 178.51/178.25 [4893]~P101(x48931)+E(f326(f326(f110(x48931),x48932),x48932),x48932)
% 178.51/178.25 [4895]~P97(x48951)+E(f326(f326(f80(x48951),x48952),x48952),x48952)
% 178.51/178.25 [4896]~P78(x48961)+E(f326(f326(f101(x48961),x48962),x48962),x48962)
% 178.51/178.25 [4898]~P102(x48981)+E(f326(f326(f101(x48981),x48982),x48982),x48982)
% 178.51/178.25 [4900]~P109(x49001)+E(f326(f326(f232(x49001),x49002),x49002),x49002)
% 178.51/178.25 [4902]~P109(x49021)+E(f326(f326(f233(x49021),x49022),x49022),x49022)
% 178.51/178.25 [4920]~P74(x49201)+E(f326(f326(f3(x49201),x49202),x49202),f2(x49201))
% 178.51/178.25 [4934]~P74(x49341)+E(f326(f78(x49341),f326(f78(x49341),x49342)),x49342)
% 178.51/178.25 [4935]~P96(x49351)+E(f326(f78(x49351),f326(f78(x49351),x49352)),x49352)
% 178.51/178.25 [4952]~E(x49522,f2(a914))+E(f326(f326(f243(a914),x49521),x49522),f326(a112,f2(a914)))
% 178.51/178.25 [4987]~P79(x49871)+E(f326(f326(f110(x49871),f188(x49871)),x49872),x49872)
% 178.51/178.25 [4988]~P113(x49881)+E(f326(f326(f80(x49881),f77(x49881)),x49882),x49882)
% 178.51/178.25 [4989]~P75(x49891)+E(f326(f326(f80(x49891),f77(x49891)),x49892),x49892)
% 178.51/178.25 [4990]~P82(x49901)+E(f326(f326(f80(x49901),f77(x49901)),x49902),x49902)
% 178.51/178.25 [4991]~P100(x49911)+E(f326(f326(f101(x49911),f241(x49911)),x49912),x49912)
% 178.51/178.25 [4992]~P70(x49921)+E(f326(f326(f79(x49921),f2(x49921)),x49922),x49922)
% 178.51/178.25 [4993]~P113(x49931)+E(f326(f326(f79(x49931),f2(x49931)),x49932),x49932)
% 178.51/178.25 [4994]~P83(x49941)+E(f326(f326(f79(x49941),f2(x49941)),x49942),x49942)
% 178.51/178.25 [5012]~P100(x50121)+E(f326(f326(f110(x50121),f241(x50121)),x50122),f241(x50121))
% 178.51/178.25 [5013]~P113(x50131)+E(f326(f326(f80(x50131),f2(x50131)),x50132),f2(x50131))
% 178.51/178.25 [5014]~P131(x50141)+E(f326(f326(f80(x50141),f2(x50141)),x50142),f2(x50141))
% 178.51/178.25 [5015]~P79(x50151)+E(f326(f326(f101(x50151),f188(x50151)),x50152),f188(x50151))
% 178.51/178.25 [5016]~P122(x50161)+E(f326(f326(f289(x50161),f2(x50161)),x50162),f2(x50161))
% 178.51/178.25 [5017]~P60(x50171)+E(f326(f326(f36(x50171),f2(x50171)),x50172),f2(x50171))
% 178.51/178.25 [5018]~P82(x50181)+E(f326(f326(f243(x50181),f77(x50181)),x50182),f77(x50181))
% 178.51/178.25 [5026]E(x50261,f113(x50262))+E(f144(x50262,f326(f168(x50262),x50261)),f326(f141(x50262),x50261))
% 178.51/178.25 [5027]E(x50271,f113(x50272))+E(f326(f141(x50272),f326(f168(x50272),x50271)),f144(x50272,x50271))
% 178.51/178.25 [5028]E(x50281,f2(a914))+~E(f326(f326(f79(a914),x50282),x50281),x50282)
% 178.51/178.25 [5035]~P95(x50351)+E(f326(f102(x50351),f326(f103(a1),x50352)),f326(f103(x50351),x50352))
% 178.51/178.25 [5036]~P141(x50361)+E(f326(f102(x50361),f326(f100(a1),x50362)),f326(f100(x50361),x50362))
% 178.51/178.25 [5043]E(x50431,f77(a914))+~E(f326(f326(f80(a914),x50432),x50431),f77(a914))
% 178.51/178.25 [5044]E(x50441,f77(a914))+~E(f326(f326(f80(a914),x50441),x50442),f77(a914))
% 178.51/178.25 [5045]E(x50451,f2(a914))+~E(f326(f326(f79(a914),x50452),x50451),f2(a914))
% 178.51/178.25 [5046]E(x50461,f2(a914))+~E(f326(f326(f79(a914),x50461),x50462),f2(a914))
% 178.51/178.25 [5063]~P119(x50631)+E(f326(f75(x50631),f326(f100(x50631),x50632)),f326(f100(x50631),x50632))
% 178.51/178.25 [5064]~P87(x50641)+E(f326(f75(x50641),f326(f75(x50641),x50642)),f326(f75(x50641),x50642))
% 178.51/178.25 [5065]~P87(x50651)+E(f326(f75(x50651),f326(f78(x50651),x50652)),f326(f75(x50651),x50652))
% 178.51/178.25 [5066]~P70(x50661)+E(f326(f165(x50661),f326(f168(x50661),x50662)),f326(f165(x50661),x50662))
% 178.51/178.25 [5071]~E(x50711,f326(a112,f2(a914)))+E(f326(f326(f243(a914),x50711),x50712),f326(a112,f2(a914)))
% 178.51/178.25 [5080]~P74(x50801)+E(f326(f326(f3(x50801),f2(x50801)),x50802),f326(f78(x50801),x50802))
% 178.51/178.25 [5081]~E(x50812,f2(a914))+E(f139(a914,f326(f301(a914,x50811),x50812)),f113(a914))
% 178.51/178.25 [5090]~P95(x50901)+E(f326(f326(f79(x50901),x50902),f326(f103(x50901),a82)),x50902)
% 178.51/178.25 [5091]E(x50911,f2(a1))+E(f47(f326(f75(a1),x50912),f326(f75(a1),x50911)),f53(x50912,x50911))
% 178.51/178.25 [5107]~E(x51071,x51072)+P106(f326(f326(f234(a914),x51071),x51072))
% 178.51/178.25 [5111]~E(x51111,x51112)+P106(f326(f326(f286(a914),x51111),x51112))
% 178.51/178.25 [5118]~E(x51181,f2(a99))+E(f326(f326(f79(a914),f326(a22,x51181)),x51182),x51182)
% 178.51/178.25 [5132]~P5(x51321)+P5(f326(f326(f243(a1),x51321),x51322))
% 178.51/178.25 [5133]~P96(x51331)+E(f326(f326(f110(x51331),x51332),f326(f78(x51331),x51332)),f241(x51331))
% 178.51/178.25 [5134]~P96(x51341)+E(f326(f326(f101(x51341),x51342),f326(f78(x51341),x51342)),f188(x51341))
% 178.51/178.25 [5135]~P74(x51351)+E(f326(f326(f79(x51351),x51352),f326(f78(x51351),x51352)),f2(x51351))
% 178.51/178.25 [5160]E(x51601,f2(a914))+~E(f326(f78(a1),f326(f100(a1),x51602)),f326(f100(a1),x51601))
% 178.51/178.25 [5161]E(x51611,f2(a914))+~E(f326(f78(a1),f326(f100(a1),x51611)),f326(f100(a1),x51612))
% 178.51/178.25 [5171]E(f194(x51711,x51712),f2(a1))+P106(f326(f326(f234(a1),x51712),x51711))
% 178.51/178.25 [5172]E(f178(x51721,x51722),f113(a1))+P106(f326(f326(f234(a1),x51721),x51722))
% 178.51/178.25 [5173]E(f240(x51731,x51732),f2(a99))+P106(f326(f326(f235(a99),x51731),x51732))
% 178.51/178.25 [5186]E(x51861,f326(a112,f2(a914)))+~E(f326(f326(f80(a914),x51862),x51861),f326(a112,f2(a914)))
% 178.51/178.25 [5187]E(x51871,f326(a112,f2(a914)))+~E(f326(f326(f80(a914),x51871),x51872),f326(a112,f2(a914)))
% 178.51/178.25 [5188]~P107(x51881)+P106(f326(f326(f234(x51881),x51882),x51882))
% 178.51/178.25 [5189]~P113(x51891)+P106(f326(f326(f286(x51891),x51892),x51892))
% 178.51/178.25 [5192]~P95(x51921)+E(f326(f326(f80(x51921),x51922),f326(f103(x51921),a97)),f326(f78(x51921),x51922))
% 178.51/178.25 [5212]~P95(x52121)+E(f326(f78(x52121),f326(f103(x52121),x52122)),f326(f103(x52121),f326(f78(a1),x52122)))
% 178.51/178.25 [5213]~P141(x52131)+E(f326(f78(x52131),f326(f102(x52131),x52132)),f326(f102(x52131),f326(f78(a1),x52132)))
% 178.51/178.25 [5243]~E(x52431,f326(a112,x52432))+P106(f326(f326(f235(a914),f2(a914)),x52431))
% 178.51/178.25 [5261]~P109(x52611)+E(f326(f78(f922(x52611,a910)),f326(f281(x52611),x52612)),f326(f282(x52611),x52612))
% 178.51/178.25 [5262]~P109(x52621)+E(f326(f78(f922(x52621,a910)),f326(f300(x52621),x52622)),f326(f303(x52621),x52622))
% 178.51/178.25 [5263]~P109(x52631)+E(f326(f78(f922(x52631,a910)),f326(f303(x52631),x52632)),f326(f300(x52631),x52632))
% 178.51/178.25 [5264]~P109(x52641)+E(f326(f78(f922(x52641,a910)),f326(f282(x52641),x52642)),f326(f281(x52641),x52642))
% 178.51/178.25 [5272]~E(f326(f100(a1),x52722),x52721)+P106(f326(f326(f234(a1),f2(a1)),x52721))
% 178.51/178.25 [5279]~E(x52792,f2(a1))+E(f53(x52791,x52792),f326(f326(f251(a1,a1),f2(a1)),f326(f75(a1),x52791)))
% 178.51/178.25 [5281]~P1(x52811)+P106(f326(f326(f234(x52811),f188(x52811)),x52812))
% 178.51/178.25 [5282]~P113(x52821)+P106(f326(f326(f286(x52821),f77(x52821)),x52822))
% 178.51/178.25 [5316]E(x53161,x53162)+~E(f326(f326(f79(a1),x53161),x53161),f326(f326(f79(a1),x53162),x53162))
% 178.51/178.25 [5320]~P106(f326(x53201,x53202))+P106(f326(x53201,f326(a104,f334(x53201))))
% 178.51/178.25 [5346]~P119(x53461)+E(f326(f326(f80(x53461),f81(x53461,x53462)),f326(f75(x53461),x53462)),x53462)
% 178.51/178.25 [5353]~E(x53532,f2(a914))+E(f84(f921(a914,a914),f48(x53531,x53532)),f326(f326(f251(a914,a914),f2(a914)),x53531))
% 178.51/178.25 [5358]~E(x53581,x53582)+~P106(f326(f326(f235(a914),x53581),x53582))
% 178.51/178.25 [5359]~E(x53591,x53592)+~P106(f326(f326(f235(a1),x53591),x53592))
% 178.51/178.25 [5362]~P144(x53621)+E(f326(f326(f79(x53621),f77(x53621)),f326(f100(x53621),x53622)),f326(f100(x53621),f326(a112,x53622)))
% 178.51/178.25 [5366]~E(x53661,f2(a914))+~P106(f326(f326(f235(a914),x53662),x53661))
% 178.51/178.25 [5380]E(f152(x53801,x53802),x53802)+~E(f326(f189(f915(x53801)),f152(x53801,x53802)),f326(f189(f915(x53801)),x53802))
% 178.51/178.25 [5381]E(f326(f35(x53811),f326(f172(x53811),x53812)),f326(f189(f915(x53811)),x53812))+~P106(f326(f137(x53811),x53812))
% 178.51/178.25 [5396]~P106(f326(x53961,f336(x53961)))+P106(f326(x53961,f326(f100(a1),x53962)))
% 178.51/178.25 [5407]E(f240(x54071,x54072),x54072)+~P106(f326(f326(f235(a99),x54071),x54072))
% 178.51/178.25 [5409]E(f271(x54091,x54092),f77(a99))+~P106(f326(f326(f235(a99),x54092),x54091))
% 178.51/178.25 [5410]E(f178(x54101,x54102),f113(a1))+~P106(f326(f326(f235(a1),x54102),x54101))
% 178.51/178.25 [5411]E(f128(x54111,x54112),f115(a1))+~P106(f326(f326(f235(a1),x54111),x54112))
% 178.51/178.25 [5413]~P110(x54131)+E(f302(x54131,x54132,x54132),f326(f326(f308(x54131),x54132),f188(f922(x54131,a910))))
% 178.51/178.25 [5433]~E(f326(f326(f3(a914),x54331),x54332),f2(a914))+P106(f326(f326(f234(a914),x54331),x54332))
% 178.51/178.25 [5456]~E(x54562,f2(a914))+E(f55(x54561,x54562,f113(x54561)),f326(f326(f151(f915(x54561)),f113(x54561)),f113(f915(x54561))))
% 178.51/178.25 [5460]~P107(x54601)+~P106(f326(f326(f235(x54601),x54602),x54602))
% 178.51/178.25 [5462]~E(f45(a1,x54621,x54622),f2(a1))+E(f45(a1,x54621,f326(f78(a1),x54622)),f2(a1))
% 178.51/178.25 [5464]~E(f45(a1,x54641,x54642),f2(a1))+E(f45(a1,f326(f78(a1),x54641),x54642),f2(a1))
% 178.51/178.25 [5471]E(f326(f301(a914,x54711),f326(a112,x54712)),f188(f922(a914,a910)))+P106(f326(f326(f234(a914),x54711),x54712))
% 178.51/178.25 [5494]E(f139(a914,f326(f301(a914,x54941),x54942)),f113(a914))+P106(f326(f326(f235(a914),x54941),x54942))
% 178.51/178.25 [5499]~E(f326(f35(x54991),f326(f172(x54991),x54992)),f326(f189(f915(x54991)),x54992))+P106(f326(f137(x54991),x54992))
% 178.51/178.25 [5503]~P106(f326(f137(x55031),x55032))+P106(f326(f137(x55031),f326(f167(x55031),x55032)))
% 178.51/178.25 [5504]~P106(f326(f137(x55041),x55042))+P106(f326(f137(x55041),f326(f171(x55041),x55042)))
% 178.51/178.25 [5505]~P106(f326(f137(x55051),x55052))+P106(f326(f137(x55051),f326(f168(x55051),x55052)))
% 178.51/178.25 [5513]P106(f326(x55131,x55132))+~P106(f326(x55131,f326(a104,f366(x55131))))
% 178.51/178.25 [5514]P106(f326(f326(f234(a914),x55142),x55141))+P106(f326(f326(f234(a914),x55141),x55142))
% 178.51/178.25 [5515]P106(f326(f326(f234(a1),x55152),x55151))+P106(f326(f326(f234(a1),x55151),x55152))
% 178.51/178.25 [5519]~P87(x55191)+P106(f326(f326(f234(x55191),x55192),f326(f75(x55191),x55192)))
% 178.51/178.25 [5522]P106(f326(x55221,f337(x55221)))+~P106(f326(x55221,f326(f100(a1),x55222)))
% 178.51/178.25 [5547]E(f326(f326(f3(a914),x55471),x55472),f2(a914))+~P106(f326(f326(f234(a914),x55471),x55472))
% 178.51/178.25 [5548]E(f326(f326(f36(a914),x55481),x55482),f2(a914))+~P106(f326(f326(f235(a914),x55481),x55482))
% 178.51/178.25 [5566]E(f45(a914,x55661,x55662),x55661)+~P106(f326(f326(f235(a914),x55661),x55662))
% 178.51/178.25 [5574]E(f45(a1,x55741,f326(f78(a1),x55742)),f290(x55741,x55742))+P106(f326(f326(f234(a1),f2(a1)),x55742))
% 178.51/178.25 [5586]E(f326(f326(f3(a1),x55861),x55862),f194(x55861,x55862))+~P106(f326(f326(f234(a1),x55862),x55861))
% 178.51/178.25 [5606]P106(f326(f326(f234(a1),f2(a1)),f336(x56061)))+P106(f326(x56061,f326(f100(a1),x56062)))
% 178.51/178.25 [5619]~P125(x56191)+P106(f326(f326(f234(x56191),f2(x56191)),f326(f100(x56191),x56192)))
% 178.51/178.25 [5620]~P87(x56201)+P106(f326(f326(f234(x56201),f2(x56201)),f326(f75(x56201),x56202)))
% 178.51/178.25 [5647]E(f326(f326(f79(a914),x56471),f672(x56472,x56471)),x56472)+~P106(f326(f326(f234(a914),x56471),x56472))
% 178.51/178.25 [5662]E(f302(a1,x56621,x56622),f188(f922(a1,a910)))+~P106(f326(f326(f235(a1),x56622),x56621))
% 178.51/178.25 [5664]~P119(x56641)+E(f326(f326(f80(x56641),f326(f75(x56641),x56642)),f326(f75(x56641),x56642)),f326(f326(f80(x56641),x56642),x56642))
% 178.51/178.25 [5670]E(f139(a914,f326(f301(a914,x56701),f326(a112,x56702))),f113(a914))+P106(f326(f326(f234(a914),x56701),x56702))
% 178.51/178.25 [5674]E(f326(f326(f36(a1),x56741),x56742),f291(x56741,x56742))+~P106(f326(f326(f234(a1),f2(a1)),x56742))
% 178.51/178.25 [5694]P106(f326(f137(x56941),x56942))+~P106(f326(f137(x56941),f326(f167(x56941),x56942)))
% 178.51/178.25 [5695]P106(f326(f137(x56951),x56952))+~P106(f326(f137(x56951),f326(f168(x56951),x56952)))
% 178.51/178.25 [5720]P106(f326(f61(a914),x57201))+P106(f326(f326(f328(a914),f375(x57201,x57202)),x57201))
% 178.51/178.25 [5721]P106(f326(f61(a914),x57211))+P106(f326(f326(f328(a914),f406(x57211,x57212)),x57211))
% 178.51/178.25 [5724]P106(f326(f326(f235(a914),x57242),f326(a112,x57241)))+P106(f326(f326(f235(a914),x57241),x57242))
% 178.51/178.25 [5725]E(f45(a1,x57251,x57252),f290(x57251,x57252))+~P106(f326(f326(f234(a1),f2(a1)),x57252))
% 178.51/178.25 [5729]E(f139(a914,f326(f301(a914,x57291),x57292)),f113(a914))+~P106(f326(f326(f234(a914),x57292),x57291))
% 178.51/178.25 [5730]~P80(x57301)+E(f326(f309(x57301,x57301,f78(x57301)),f326(f281(x57301),x57302)),f326(f303(x57301),f326(f78(x57301),x57302)))
% 178.51/178.25 [5731]~P80(x57311)+E(f326(f309(x57311,x57311,f78(x57311)),f326(f300(x57311),x57312)),f326(f282(x57311),f326(f78(x57311),x57312)))
% 178.51/178.25 [5732]~P80(x57321)+E(f326(f309(x57321,x57321,f78(x57321)),f326(f303(x57321),x57322)),f326(f281(x57321),f326(f78(x57321),x57322)))
% 178.51/178.25 [5733]~P80(x57331)+E(f326(f309(x57331,x57331,f78(x57331)),f326(f282(x57331),x57332)),f326(f300(x57331),f326(f78(x57331),x57332)))
% 178.51/178.25 [5744]E(x57441,f188(f922(x57442,a910)))+P106(f326(f326(f328(x57442),f408(x57441,x57442)),x57441))
% 178.51/178.25 [5745]E(x57451,f188(f922(x57452,a910)))+P106(f326(f326(f328(x57452),f412(x57451,x57452)),x57451))
% 178.51/178.25 [5756]~P106(f326(f326(f235(a914),x57561),x57562))+P106(f326(f326(f234(a914),x57561),x57562))
% 178.51/178.25 [5757]~P106(f326(f326(f235(a1),x57571),x57572))+P106(f326(f326(f234(a1),x57571),x57572))
% 178.51/178.25 [5773]E(f47(x57731,x57732),f326(f326(f251(a1,a1),f2(a1)),x57731))+~P106(f326(f326(f235(a1),x57731),x57732))
% 178.51/178.25 [5775]E(f215(f326(f78(a1),x57751),f326(f78(a1),x57752)),f215(x57751,x57752))+~P106(f326(f326(f235(a1),x57752),f2(a1)))
% 178.51/178.25 [5786]E(x57861,x57862)+~E(f326(a5,f326(a112,f326(a22,x57861))),f326(a5,f326(a112,f326(a22,x57862))))
% 178.51/178.25 [5791]E(f47(x57911,x57912),f326(f326(f251(a1,a1),f2(a1)),x57911))+~P106(f326(f326(f234(a1),x57912),f2(a1)))
% 178.51/178.25 [5820]E(f45(a914,f326(f103(a914),x58201),f326(f103(a914),x58202)),f2(a914))+~P106(f326(a193,f326(f103(a1),x58201)))
% 178.51/178.25 [5834]P106(f326(f326(f234(a1),f2(a1)),f337(x58341)))+~P106(f326(x58341,f326(f100(a1),x58342)))
% 178.51/178.25 [5867]P40(f302(a1,x58671,x58672))+~P106(f326(f326(f234(a1),f2(a1)),x58671))
% 178.51/178.25 [5872]~P106(f326(f61(x58721),x58722))+P106(f326(f61(f922(x58721,a910)),f326(f307(x58721),x58722)))
% 178.51/178.25 [5885]E(f326(f326(f79(a1),x58851),f326(f100(a1),f342(x58852,x58851))),x58852)+~P106(f326(f326(f234(a1),x58851),x58852))
% 178.51/178.25 [5893]P106(f326(f326(f234(a914),x58931),x58932))+P106(f326(f326(f234(a914),f326(a112,x58932)),x58931))
% 178.51/178.25 [5937]E(f326(f326(f36(a914),f326(f103(a914),x59371)),f326(f103(a914),x59372)),f2(a914))+~P106(f326(a193,f326(f103(a1),x59371)))
% 178.51/178.25 [5938]E(f326(f326(f80(a914),f326(f103(a914),x59381)),f326(f103(a914),x59382)),f2(a914))+~P106(f326(f326(f235(a1),x59381),a82))
% 178.51/178.25 [5940]P106(f326(f326(f234(a914),x59401),f326(a112,x59402)))+~P106(f326(f326(f234(a914),x59401),x59402))
% 178.51/178.25 [5942]P106(f326(f326(f235(a914),x59421),f326(a112,x59422)))+~P106(f326(f326(f234(a914),x59421),x59422))
% 178.51/178.25 [5944]P106(f326(f326(f235(a914),x59441),f326(a112,x59442)))+~P106(f326(f326(f235(a914),x59441),x59442))
% 178.51/178.25 [5947]~E(x59471,x59472)+P106(f326(f326(f235(a1),x59471),f326(f326(f79(a1),x59472),f77(a1))))
% 178.51/178.25 [5950]E(f45(a1,x59501,x59502),f2(a1))+E(f326(f326(f3(a1),x59502),f45(a1,x59501,x59502)),f45(a1,f326(f78(a1),x59501),x59502))
% 178.51/178.25 [5959]E(x59591,f113(x59592))+P106(f326(f326(f328(x59592),f144(x59592,x59591)),f326(f172(x59592),x59591)))
% 178.51/178.25 [5971]E(f84(f921(a914,a914),f48(x59711,x59712)),f326(f326(f251(a914,a914),f2(a914)),x59711))+~P106(f326(f326(f235(a914),x59711),x59712))
% 178.51/178.25 [6015]E(f326(f326(f3(a914),f326(f103(a914),x60151)),f326(f103(a914),x60152)),f326(f103(a914),x60151))+~P106(f326(f326(f235(a1),x60152),a82))
% 178.51/178.25 [6016]E(f326(f326(f79(a914),f326(f103(a914),x60161)),f326(f103(a914),x60162)),f326(f103(a914),x60162))+~P106(f326(f326(f235(a1),x60161),a82))
% 178.51/178.25 [6023]E(f326(a112,f326(f326(f79(a914),x60231),f819(x60232,x60231))),x60232)+~P106(f326(f326(f235(a914),x60231),x60232))
% 178.51/178.25 [6047]P106(f326(x60471,x60472))+~P106(f326(x60471,f326(a88,f572(x60472,x60471))))
% 178.51/178.25 [6048]P106(f326(x60481,x60482))+~P106(f326(x60481,f326(a5,f820(x60482,x60481))))
% 178.51/178.25 [6057]~P106(f326(f326(f235(a914),x60571),f326(a112,x60572)))+P106(f326(f326(f234(a914),x60571),x60572))
% 178.51/178.25 [6103]E(f326(f326(f308(a914),x61031),f326(f301(a914,x61032),x61031)),f326(f301(a914,x61032),f326(a112,x61031)))+~P106(f326(f326(f234(a914),x61032),x61031))
% 178.51/178.25 [6105]E(x61051,f113(x61052))+E(f326(f326(f134(x61052),f114(x61052,x61051)),f326(f326(f151(x61052),f144(x61052,x61051)),f113(x61052))),x61051)
% 178.51/178.25 [6122]P106(f326(f61(x61221),x61222))+~P106(f326(f326(f235(a914),f2(a914)),f326(f35(x61221),x61222)))
% 178.51/178.25 [6125]~E(x61251,f188(f922(x61252,a910)))+~P106(f326(f326(f235(a914),f2(a914)),f326(f35(x61252),x61251)))
% 178.51/178.25 [6137]~P106(f326(f326(f235(a914),x61371),x61372))+P106(f326(f326(f234(a914),f326(a112,x61371)),x61372))
% 178.51/178.25 [6141]~P109(x61411)+E(f150(x61411,x61411,f7(x61411),f152(x61411,x61412)),f139(x61411,f326(f172(x61411),x61412)))
% 178.51/178.25 [6144]E(x61441,f113(x61442))+P106(f326(f326(f328(x61442),f326(f141(x61442),x61441)),f326(f172(x61442),x61441)))
% 178.51/178.25 [6150]~P125(x61501)+P106(f326(f326(f235(x61501),x61502),f326(f326(f79(x61501),x61502),f77(x61501))))
% 178.51/178.25 [6152]~P87(x61521)+P106(f326(f326(f234(x61521),f326(f78(x61521),x61522)),f326(f75(x61521),x61522)))
% 178.51/178.25 [6182]P106(f326(f61(a914),x61821))+~P106(f326(f326(f234(a914),f406(x61821,x61822)),x61822))
% 178.51/178.25 [6183]P106(f326(f61(a914),x61831))+~P106(f326(f326(f235(a914),f375(x61831,x61832)),x61832))
% 178.51/178.25 [6186]~P106(f326(f61(f921(x61861,x61861)),x61862))+P106(f326(f61(x61861),f326(f280(x61861),x61862)))
% 178.51/178.25 [6245]~P106(f326(f326(f235(a914),x62452),f326(a112,x62451)))+~P106(f326(f326(f235(a914),x62451),x62452))
% 178.51/178.25 [6246]~P110(x62461)+E(f326(f326(f101(f922(x62461,a910)),f326(f300(x62461),x62462)),f326(f282(x62461),x62462)),f326(f326(f308(x62461),x62462),f188(f922(x62461,a910))))
% 178.51/178.25 [6258]P106(f326(f61(x62581),x62582))+~P106(f326(f61(f922(x62581,a910)),f326(f307(x62581),x62582)))
% 178.51/178.25 [6281]P106(f326(f326(f234(a914),f326(a112,x62811)),f326(a112,x62812)))+~P106(f326(f326(f234(a914),x62811),x62812))
% 178.51/178.25 [6282]P106(f326(f326(f234(a914),f326(a22,x62821)),f326(a22,x62822)))+~P106(f326(f326(f234(a99),x62821),x62822))
% 178.51/178.25 [6283]P106(f326(f326(f234(a99),f326(a5,x62831)),f326(a5,x62832)))+~P106(f326(f326(f234(a914),x62831),x62832))
% 178.51/178.25 [6285]P106(f326(f326(f235(a914),f326(a112,x62851)),f326(a112,x62852)))+~P106(f326(f326(f235(a914),x62851),x62852))
% 178.51/178.25 [6286]P106(f326(f326(f235(a914),f326(a22,x62861)),f326(a22,x62862)))+~P106(f326(f326(f235(a99),x62861),x62862))
% 178.51/178.25 [6287]P106(f326(f326(f235(a99),f326(a5,x62871)),f326(a5,x62872)))+~P106(f326(f326(f235(a914),x62871),x62872))
% 178.51/178.25 [6292]E(x62921,x62922)+~E(f326(f309(a914,a1,f100(a1)),x62921),f326(f309(a914,a1,f100(a1)),x62922))
% 178.51/178.25 [6308]P106(f326(f326(f234(a914),x63081),x63082))+~P106(f326(f326(f234(a914),f326(a112,x63081)),x63082))
% 178.51/178.25 [6311]P106(f326(f326(f235(a914),x63111),x63112))+~P106(f326(f326(f234(a914),f326(a112,x63111)),x63112))
% 178.51/178.25 [6312]P106(f326(f326(f235(a914),x63121),x63122))+~P106(f326(f326(f235(a914),f326(a112,x63121)),x63122))
% 178.51/178.25 [6331]E(f45(a1,x63311,x63312),f2(a1))+E(f326(f326(f3(a1),f45(a1,x63311,x63312)),x63312),f45(a1,x63311,f326(f78(a1),x63312)))
% 178.51/178.25 [6398]E(f326(f35(f922(x63981,a910)),f326(f307(x63981),x63982)),f326(f326(f243(a914),f326(a112,f326(a112,f2(a914)))),f326(f35(x63981),x63982)))+~P106(f326(f61(x63981),x63982))
% 178.51/178.25 [6401]E(x64011,f113(x64012))+E(f326(f326(f164(x64012),x64011),f326(f326(f3(a914),f326(f189(f915(x64012)),x64011)),f77(a914))),f144(x64012,x64011))
% 178.51/178.25 [6423]E(x64231,f113(x64232))+E(f326(f326(f134(x64232),f326(f171(x64232),x64231)),f326(f326(f151(x64232),f326(f141(x64232),x64231)),f113(x64232))),f326(f167(x64232),x64231))
% 178.51/178.25 [6455]~P106(f326(f61(x64551),f37(f922(x64551,a910),x64552)))+P106(f326(f61(f922(x64551,a910)),x64552))
% 178.51/178.25 [6477]P106(f326(f326(f234(a914),f326(f103(a914),x64771)),f326(f103(a914),x64772)))+~P106(f326(f326(f234(a1),x64771),a82))
% 178.51/178.25 [6498]~P106(f326(f326(f235(a1),x64981),x64982))+P106(f326(f326(f234(a1),x64981),f326(f326(f3(a1),x64982),f77(a1))))
% 178.51/178.25 [6499]~P106(f326(f326(f234(a1),x64991),x64992))+P106(f326(f326(f235(a1),x64991),f326(f326(f79(a1),x64992),f77(a1))))
% 178.51/178.25 [6500]~P106(f326(f326(f235(a1),x65001),x65002))+P106(f326(f326(f235(a1),x65001),f326(f326(f79(a1),x65002),f77(a1))))
% 178.51/178.25 [6502]~P106(f326(f326(f234(a1),x65021),x65022))+P106(f326(f326(f234(a914),f326(f103(a914),x65021)),f326(f103(a914),x65022)))
% 178.51/178.25 [6503]~P106(f326(f326(f234(a1),x65031),x65032))+P106(f326(f326(f234(a1),f326(f103(a1),x65031)),f326(f103(a1),x65032)))
% 178.51/178.25 [6505]~P106(f326(f326(f234(a914),x65051),x65052))+P106(f326(f326(f234(a1),f326(f100(a1),x65051)),f326(f100(a1),x65052)))
% 178.51/178.25 [6506]~P106(f326(f326(f235(a1),x65061),x65062))+P106(f326(f326(f235(a1),f326(f103(a1),x65061)),f326(f103(a1),x65062)))
% 178.51/178.25 [6508]~P106(f326(f326(f235(a914),x65081),x65082))+P106(f326(f326(f235(a1),f326(f100(a1),x65081)),f326(f100(a1),x65082)))
% 178.51/178.25 [6529]~P106(f326(f326(f234(a914),x65291),x65292))+~P106(f326(f326(f234(a914),f326(a112,x65292)),x65291))
% 178.51/178.25 [6572]~P106(f326(f326(f234(a914),f326(a112,x65721)),f326(a112,x65722)))+P106(f326(f326(f234(a914),x65721),x65722))
% 178.51/178.25 [6573]~P106(f326(f326(f234(a99),f326(a5,x65731)),f326(a5,x65732)))+P106(f326(f326(f234(a914),x65731),x65732))
% 178.51/178.25 [6574]~P106(f326(f326(f234(a914),f326(a22,x65741)),f326(a22,x65742)))+P106(f326(f326(f234(a99),x65741),x65742))
% 178.51/178.25 [6576]~P106(f326(f326(f235(a914),f326(a112,x65761)),f326(a112,x65762)))+P106(f326(f326(f235(a914),x65761),x65762))
% 178.51/178.25 [6577]~P106(f326(f326(f235(a99),f326(a5,x65771)),f326(a5,x65772)))+P106(f326(f326(f235(a914),x65771),x65772))
% 178.51/178.25 [6578]~P106(f326(f326(f235(a914),f326(a104,x65781)),f326(a104,x65782)))+P106(f326(f326(f235(a1),x65781),x65782))
% 178.51/178.25 [6579]~P106(f326(f326(f235(a914),f326(a22,x65791)),f326(a22,x65792)))+P106(f326(f326(f235(a99),x65791),x65792))
% 178.51/178.25 [6620]~P106(f326(f326(f235(a914),f326(a104,x66202)),f326(a104,x66201)))+P106(f326(f326(f235(a1),f2(a1)),x66201))
% 178.51/178.25 [6651]P106(f326(f326(f234(a1),f2(a1)),f45(a1,x66511,x66512)))+~P106(f326(f326(f235(a1),f2(a1)),x66512))
% 178.51/178.25 [6812]P37(x68121,x68122)+~E(f326(f326(f288(x68121,x68121,x68121),x68122),x68122),f188(f922(f921(x68121,x68121),a910)))
% 178.51/178.25 [6826]~P37(x68261,x68262)+P37(x68261,f326(f326(f288(x68261,x68261,x68261),x68262),x68262))
% 178.51/178.25 [6837]P106(f326(f326(f234(a1),x68371),x68372))+~P106(f326(f326(f235(a1),x68371),f326(f326(f79(a1),x68372),f77(a1))))
% 178.51/178.25 [6838]P106(f326(f326(f235(a1),x68381),x68382))+~P106(f326(f326(f234(a1),x68381),f326(f326(f3(a1),x68382),f77(a1))))
% 178.51/178.25 [6841]P106(f326(f326(f234(a914),x68411),x68412))+~P106(f326(f326(f234(a1),f326(f100(a1),x68411)),f326(f100(a1),x68412)))
% 178.51/178.25 [6842]P106(f326(f326(f234(a1),x68421),x68422))+~P106(f326(f326(f234(a1),f326(f103(a1),x68421)),f326(f103(a1),x68422)))
% 178.51/178.25 [6844]P106(f326(f326(f235(a914),x68441),x68442))+~P106(f326(f326(f235(a1),f326(f100(a1),x68441)),f326(f100(a1),x68442)))
% 178.51/178.25 [6845]P106(f326(f326(f235(a1),x68451),x68452))+~P106(f326(f326(f235(a914),f326(f103(a914),x68451)),f326(f103(a914),x68452)))
% 178.51/178.25 [6846]P106(f326(f326(f235(a1),x68461),x68462))+~P106(f326(f326(f235(a1),f326(f103(a1),x68461)),f326(f103(a1),x68462)))
% 178.51/178.25 [6943]~E(f696(x69432,x69431),f113(x69431))+E(f326(f142(f915(x69431),f915(x69431),f134(x69431),f113(x69431)),x69432),f113(x69431))
% 178.51/178.25 [6944]~E(f702(x69442,x69441),f113(x69441))+E(f326(f142(f915(x69441),f915(x69441),f134(x69441),f113(x69441)),x69442),f113(x69441))
% 178.51/178.25 [6948]~P4(x69481)+E(f326(f142(x69481,x69481,f110(x69481),f188(x69481)),x69482),f37(x69481,f326(f172(x69481),x69482)))
% 178.51/178.25 [6949]~P4(x69491)+E(f326(f142(x69491,x69491,f101(x69491),f241(x69491)),x69492),f38(x69491,f326(f172(x69491),x69492)))
% 178.51/178.25 [6963]E(x69631,f2(a99))+E(f326(f326(f79(a914),f326(a22,f326(f326(f3(a99),x69631),f77(a99)))),f326(a112,x69632)),f326(f326(f79(a914),f326(a22,x69631)),x69632))
% 178.51/178.25 [7012]P106(f326(f326(f235(a1),f326(f326(f3(a1),x70121),x70122)),f2(a1)))+~P106(f326(f326(f235(a1),x70121),x70122))
% 178.51/178.25 [7037]~P109(x70371)+E(f326(f326(f110(f922(x70371,a910)),f326(f326(f308(x70371),x70372),f188(f922(x70371,a910)))),f326(f303(x70371),x70372)),f326(f282(x70371),x70372))
% 178.51/178.25 [7110]~P59(x71101,x71102)+P37(x71101,f326(f261(f921(x71101,x71101)),f326(f256(x71101,x71101,a910),x71102)))
% 178.51/178.25 [7111]~P59(x71111,x71112)+P57(x71111,f326(f261(f921(x71111,x71111)),f326(f256(x71111,x71111,a910),x71112)))
% 178.51/178.25 [7112]~P49(x71121,x71122)+P38(x71121,f326(f261(f921(x71121,x71121)),f326(f256(x71121,x71121,a910),x71122)))
% 178.51/178.25 [7113]~P50(x71131,x71132)+P51(x71131,f326(f261(f921(x71131,x71131)),f326(f256(x71131,x71131,a910),x71132)))
% 178.51/178.25 [7114]E(x71141,f188(f922(x71142,a910)))+~P106(f326(f326(f234(f922(x71142,a910)),x71141),f188(f922(x71142,a910))))
% 178.51/178.25 [7197]~P106(f326(f326(f235(a914),f2(a914)),x71972))+P106(f326(f326(f234(a914),f45(a914,x71971,x71972)),x71972))
% 178.51/178.25 [7198]~P106(f326(f326(f234(a1),f2(a1)),x71981))+P106(f326(f326(f234(a1),f45(a1,x71981,x71982)),x71981))
% 178.51/178.25 [7199]~P106(f326(f326(f235(a914),f2(a914)),x71992))+P106(f326(f326(f235(a914),f45(a914,x71991,x71992)),x71992))
% 178.51/178.25 [7201]~P106(f326(f326(f235(a1),f2(a1)),x72012))+P106(f326(f326(f235(a1),f45(a1,x72011,x72012)),x72012))
% 178.51/178.25 [7278]~P110(x72781)+E(f326(f326(f3(f922(x72781,a910)),f326(f326(f308(x72781),x72782),f188(f922(x72781,a910)))),f326(f281(x72781),x72782)),f326(f326(f308(x72781),x72782),f188(f922(x72781,a910))))
% 178.51/178.25 [7351]~P43(x73511,x73512)+P52(x73511,f241(f922(x73511,a910)),f326(f261(f921(x73511,x73511)),f326(f256(x73511,x73511,a910),x73512)))
% 178.51/178.25 [7352]P106(f326(x73521,x73522))+P106(f326(f326(f328(f922(f921(a914,a914),a910)),f572(x73522,x73521)),a98))
% 178.51/178.25 [7397]E(f326(f326(f134(a914),f139(a914,f326(f301(a914,x73971),x73972))),f326(f326(f151(a914),x73972),f113(a914))),f139(a914,f326(f301(a914,x73971),f326(a112,x73972))))+~P106(f326(f326(f234(a914),x73971),x73972))
% 178.51/178.25 [7546]E(x75461,f2(a914))+~E(f326(f142(a914,a914,f79(a914),x75461),x75462),f2(a914))
% 178.51/178.25 [7570]~P106(f326(f326(f235(a1),f326(f326(f3(a1),x75701),x75702)),f2(a1)))+P106(f326(f326(f235(a1),x75701),x75702))
% 178.51/178.25 [7599]P37(x75991,x75992)+~P37(x75991,f326(f326(f288(x75991,x75991,x75991),x75992),x75992))
% 178.51/178.25 [7625]~P106(f326(f326(f234(a914),f326(a112,x76251)),x76252))+P106(f185(a910,a238,f326(f234(a914),x76251),x76252))
% 178.51/178.25 [7777]P24(a914,a914,f326(f326(f9(a914,a914,a914),f3(a914)),x77771),x77772)+P106(f326(f326(f328(a914),f583(x77771,x77772)),x77772))
% 178.51/178.25 [7833]E(f326(f326(f326(f65(a914,x78331,f79(a914)),f326(f18(a914,x78331),f77(a914))),f2(a914)),x78332),f326(f35(x78331),x78332))+~P106(f326(f61(x78331),x78332))
% 178.51/178.25 [7874]P24(a914,a914,f326(f326(f9(a914,a914,a914),f3(a914)),x78741),x78742)+~P106(f326(f326(f234(a914),x78741),f583(x78741,x78742)))
% 178.51/178.25 [7929]P37(x79291,x79292)+P106(f326(f326(f234(f922(x79291,a910)),f581(x79292,x79291)),f326(f284(x79291,x79291,x79292),f581(x79292,x79291))))
% 178.51/178.25 [7934]P59(x79341,x79342)+~P37(x79341,f326(f261(f921(x79341,x79341)),f326(f256(x79341,x79341,a910),x79342)))
% 178.51/178.25 [7935]P49(x79351,x79352)+~P38(x79351,f326(f261(f921(x79351,x79351)),f326(f256(x79351,x79351,a910),x79352)))
% 178.51/178.25 [7936]P50(x79361,x79362)+~P51(x79361,f326(f261(f921(x79361,x79361)),f326(f256(x79361,x79361,a910),x79362)))
% 178.51/178.25 [8003]P106(f326(f326(f234(a914),f326(a112,x80031)),x80032))+~P106(f185(a910,a238,f326(f234(a914),x80031),x80032))
% 178.51/178.25 [8058]P106(f326(f326(f328(f921(a914,a914)),f326(f326(f251(a914,a914),x80581),x80582)),f306(a914,a316)))+~P106(f326(f326(f234(a914),x80581),x80582))
% 178.51/178.25 [8153]P43(x81531,x81532)+~P52(x81531,f241(f922(x81531,a910)),f326(f261(f921(x81531,x81531)),f326(f256(x81531,x81531,a910),x81532)))
% 178.51/178.25 [8208]~P106(f326(f137(x82081),x82082))+P106(f326(f137(f922(x82081,a910)),f326(f326(f154(f915(x82081),f922(x82081,a910)),f172(x82081)),f54(x82081,x82082))))
% 178.51/178.25 [8403]~P37(x84031,f326(f285(x84031,x84031),x84032))+P37(x84031,f326(f285(x84031,x84031),f326(f326(f288(x84031,x84031,x84031),x84032),f306(x84031,x84032))))
% 178.51/178.25 [8501]P25(x85011,a914,f823(x85012,x85011),x85012,f326(f301(a914,f2(a914)),f326(f35(x85011),x85012)))+~P106(f326(f61(x85011),x85012))
% 178.51/178.25 [8502]P25(a914,x85021,f824(x85022,x85021),f326(f301(a914,f2(a914)),f326(f35(x85021),x85022)),x85022)+~P106(f326(f61(x85021),x85022))
% 178.51/178.25 [8519]P25(a914,x85191,f825(x85192,x85191),f302(a914,f77(a914),f326(f35(x85191),x85192)),x85192)+~P106(f326(f61(x85191),x85192))
% 178.51/178.25 [8529]P106(f326(f61(f921(x85291,x85291)),f326(f326(f288(x85291,x85291,x85291),x85292),f306(x85291,x85292))))+~P106(f326(f61(f921(x85291,x85291)),x85292))
% 178.51/178.25 [8556]E(x85561,f2(a1))+P106(f326(f49(x85562,x85561),f326(f326(f251(a1,a1),f326(f326(f36(a1),x85562),x85561)),f45(a1,x85562,x85561))))
% 178.51/178.25 [8569]~P106(f326(f326(f328(f921(a914,a914)),f326(f326(f251(a914,a914),x85691),x85692)),f306(a914,a316)))+P106(f326(f326(f234(a914),x85691),x85692))
% 178.51/178.25 [8584]~P83(x85841)+E(f326(f142(x85841,x85841,f326(f9(x85841,x85841,x85841),f79(x85841)),f2(x85841)),f326(f168(x85841),x85842)),f326(f142(x85841,x85841,f79(x85841),f2(x85841)),x85842))
% 178.51/178.25 [8754]~P109(x87541)+E(f326(f142(f915(x87541),x87541,f326(f9(x87541,f915(x87541),f915(x87541)),f148(x87541,x87541,f7(x87541))),f113(x87541)),x87542),f150(x87541,x87541,f7(x87541),x87542))
% 178.51/178.25 [8865]~P57(x88651,f326(f261(f921(x88651,x88651)),f326(f256(x88651,x88651,a910),x88652)))+P57(x88651,f326(f261(f921(x88651,x88651)),f326(f256(x88651,x88651,a910),f242(x88651,x88651,x88652))))
% 178.51/178.25 [8879]P106(f326(f326(f328(f921(a914,a914)),f326(f326(f251(a914,a914),x88791),x88792)),f326(f326(f288(a914,a914,a914),a316),f306(a914,a316))))+~P106(f326(f326(f235(a914),x88791),x88792))
% 178.51/178.25 [8925]~P106(f326(f61(f921(x89251,x89251)),f326(f326(f288(x89251,x89251,x89251),x89252),f306(x89251,x89252))))+P106(f326(f61(f921(x89251,x89251)),x89252))
% 178.51/178.25 [8983]~P57(x89831,f326(f261(f921(x89831,x89831)),f326(f256(x89831,x89831,a910),f242(x89831,x89831,x89832))))+P57(x89831,f326(f261(f921(x89831,x89831)),f326(f256(x89831,x89831,a910),x89832)))
% 178.51/178.25 [9180]P57(x91801,x91802)+P106(f326(f326(f328(f921(x91801,x91801)),f326(f326(f251(x91801,x91801),f614(x91802,x91801)),f614(x91802,x91801))),f326(f326(f288(x91801,x91801,x91801),x91802),f306(x91801,x91802))))
% 178.51/178.25 [9181]P57(x91811,x91812)+P106(f326(f326(f328(f921(x91811,x91811)),f326(f326(f251(x91811,x91811),f624(x91812,x91811)),f624(x91812,x91811))),f326(f326(f288(x91811,x91811,x91811),x91812),f306(x91811,x91812))))
% 178.51/178.25 [9298]~P106(f326(f326(f328(f921(a914,a914)),f326(f326(f251(a914,a914),x92981),x92982)),f326(f326(f288(a914,a914,a914),a316),f306(a914,a316))))+P106(f326(f326(f235(a914),x92981),x92982))
% 178.51/178.25 [5257]~P95(x52571)+E(f326(f326(f79(x52571),f326(f103(x52571),a82)),x52572),x52572)
% 178.51/178.25 [5287]~P96(x52871)+E(f326(f326(f110(x52871),f326(f78(x52871),x52872)),x52872),f241(x52871))
% 178.51/178.25 [5288]~P96(x52881)+E(f326(f326(f101(x52881),f326(f78(x52881),x52882)),x52882),f188(x52881))
% 178.51/178.25 [5289]~P67(x52891)+E(f326(f326(f79(x52891),f326(f78(x52891),x52892)),x52892),f2(x52891))
% 178.51/178.25 [5290]~P74(x52901)+E(f326(f326(f79(x52901),f326(f78(x52901),x52902)),x52902),f2(x52901))
% 178.51/178.25 [5324]~P95(x53241)+E(f326(f326(f80(x53241),f326(f103(x53241),a97)),x53242),f326(f78(x53241),x53242))
% 178.51/178.25 [5486]~P115(x54861)+E(f326(f326(f80(x54861),f326(f78(x54861),f77(x54861))),x54862),f326(f78(x54861),x54862))
% 178.51/178.25 [5531]E(f326(f75(a1),x55311),f77(a1))+~E(f326(f75(a1),f326(f326(f80(a1),x55311),x55312)),f77(a1))
% 178.51/178.25 [5622]~P95(x56221)+E(f326(f326(f79(x56221),f77(x56221)),f326(f103(x56221),x56222)),f326(f103(x56221),f326(f326(f3(a1),x56222),a97)))
% 178.51/178.25 [5675]~P78(x56751)+E(f12(x56751,f326(f326(f308(x56751),x56752),f188(f922(x56751,a910)))),x56752)
% 178.51/178.25 [5676]~P78(x56761)+E(f13(x56761,f326(f326(f308(x56761),x56762),f188(f922(x56761,a910)))),x56762)
% 178.51/178.25 [5677]~P4(x56771)+E(f37(x56771,f326(f326(f308(x56771),x56772),f188(f922(x56771,a910)))),x56772)
% 178.51/178.25 [5678]~P109(x56781)+E(f16(x56781,f326(f326(f308(x56781),x56782),f188(f922(x56781,a910)))),x56782)
% 178.51/178.25 [5679]~P4(x56791)+E(f38(x56791,f326(f326(f308(x56791),x56792),f188(f922(x56791,a910)))),x56792)
% 178.51/178.25 [5680]~P109(x56801)+E(f17(x56801,f326(f326(f308(x56801),x56802),f188(f922(x56801,a910)))),x56802)
% 178.51/178.25 [5702]E(f326(f326(f79(a914),x57021),f326(f326(f3(a914),x57022),x57021)),x57022)+P106(f326(f326(f235(a914),x57022),x57021))
% 178.51/178.25 [5739]E(x57391,f113(x57392))+P106(f326(f326(f235(a914),f2(a914)),f326(f189(f915(x57392)),x57391)))
% 178.51/178.25 [5864]~P109(x58641)+E(f14(x58641,f232(x58641),f326(f326(f308(x58641),x58642),f188(f922(x58641,a910)))),x58642)
% 178.51/178.25 [5865]~P109(x58651)+E(f15(x58651,f233(x58651),f326(f326(f308(x58651),x58652),f188(f922(x58651,a910)))),x58652)
% 178.51/178.25 [5926]E(f326(f326(f3(a914),x59261),f326(f326(f3(a914),x59261),x59262)),x59262)+~P106(f326(f326(f234(a914),x59262),x59261))
% 178.51/178.25 [5927]E(f326(f326(f79(a914),x59271),f326(f326(f3(a914),x59272),x59271)),x59272)+~P106(f326(f326(f234(a914),x59271),x59272))
% 178.51/178.25 [5949]E(f45(a914,f326(f326(f3(a914),x59491),x59492),x59492),f45(a914,x59491,x59492))+P106(f326(f326(f235(a914),x59491),x59492))
% 178.51/178.25 [5960]E(f326(f78(a1),f326(f326(f36(a1),x59601),f326(f78(a1),x59602))),f291(x59601,x59602))+P106(f326(f326(f234(a1),f2(a1)),x59602))
% 178.51/178.25 [5962]~E(x59622,f2(a914))+P106(f326(f326(f235(a914),f2(a914)),f326(f326(f243(a914),x59621),x59622)))
% 178.51/178.25 [6025]~P95(x60251)+E(f326(f326(f79(x60251),f326(f78(x60251),f77(x60251))),f326(f103(x60251),x60252)),f326(f103(x60251),f326(f326(f79(a1),x60252),a97)))
% 178.51/178.25 [6027]E(f326(f326(f243(a914),f326(f103(a914),x60271)),x60272),f326(f326(f243(a914),f2(a914)),x60272))+~P106(f326(a193,f326(f103(a1),x60271)))
% 178.51/178.25 [6129]E(f326(f141(a914),f139(a914,f326(f301(a914,x61291),x61292))),x61291)+~P106(f326(f326(f235(a914),x61291),x61292))
% 178.51/178.25 [6145]E(f326(f326(f80(a914),f326(f103(a914),x61451)),f326(f103(a914),x61452)),f326(f103(a914),f326(f326(f80(a1),x61451),x61452)))+P106(f326(f326(f235(a1),x61451),a82))
% 178.51/178.25 [6151]~P127(x61511)+P106(f326(f326(f234(x61511),f2(x61511)),f326(f326(f80(x61511),x61512),x61512)))
% 178.51/178.25 [6163]E(f326(f326(f3(a914),f326(a112,x61631)),x61632),f326(a112,f326(f326(f3(a914),x61631),x61632)))+~P106(f326(f326(f234(a914),x61632),x61631))
% 178.51/178.25 [6166]E(f45(a914,f326(f326(f3(a914),x61661),x61662),x61662),f45(a914,x61661,x61662))+~P106(f326(f326(f234(a914),x61662),x61661))
% 178.51/178.25 [6218]E(f326(f326(f243(a914),f326(a104,x62181)),x62182),f326(a104,f326(f326(f243(a1),x62181),x62182)))+~P106(f326(f326(f234(a1),f2(a1)),x62181))
% 178.51/178.25 [6236]P106(f326(f137(x62361),x62362))+P106(f326(f326(f235(a914),f667(x62362,x62361)),f326(f189(f915(x62361)),x62362)))
% 178.51/178.25 [6237]P106(f326(f137(x62371),x62372))+P106(f326(f326(f235(a914),f671(x62372,x62371)),f326(f189(f915(x62371)),x62372)))
% 178.51/178.25 [6252]~E(x62521,f113(x62522))+~P106(f326(f326(f235(a914),f2(a914)),f326(f189(f915(x62522)),x62521)))
% 178.51/178.25 [6263]E(f144(a914,f139(a914,f326(f301(a914,x62631),x62632))),f326(f326(f3(a914),x62632),f77(a914)))+~P106(f326(f326(f235(a914),x62631),x62632))
% 178.51/178.25 [6266]E(f326(f326(f79(a1),x62661),f326(f100(a1),f326(a112,f344(x62662,x62661)))),x62662)+~P106(f326(f326(f235(a1),x62661),x62662))
% 178.51/178.25 [6273]E(x62731,f2(a914))+E(f326(f326(f80(a914),x62732),f326(f326(f243(a914),x62732),f326(f326(f3(a914),x62731),f77(a914)))),f326(f326(f243(a914),x62732),x62731))
% 178.51/178.25 [6302]E(f326(f326(f80(a914),f326(a104,x63021)),f326(a104,x63022)),f326(a104,f326(f326(f80(a1),x63021),x63022)))+~P106(f326(f326(f234(a1),f2(a1)),x63021))
% 178.51/178.25 [6303]E(f326(f326(f36(a914),f326(a104,x63031)),f326(a104,x63032)),f326(a104,f326(f326(f36(a1),x63031),x63032)))+~P106(f326(f326(f234(a1),f2(a1)),x63031))
% 178.51/178.25 [6318]~P113(x63181)+E(f326(f326(f79(x63181),x63182),x63182),f326(f326(f80(x63181),f326(f326(f79(x63181),f77(x63181)),f77(x63181))),x63182))
% 178.51/178.25 [6340]E(f326(f326(f3(a1),f326(f100(a1),x63401)),f326(f100(a1),x63402)),f326(f100(a1),f326(f326(f3(a914),x63401),x63402)))+~P106(f326(f326(f234(a914),x63402),x63401))
% 178.51/178.25 [6342]E(f326(f326(f251(a1,a1),f326(f103(a1),a97)),f326(f326(f79(a1),x63421),x63422)),f50(x63421,x63422))+~P106(f326(f326(f234(a1),x63422),f2(a1)))
% 178.51/178.25 [6375]E(f179(x63751,x63752),f113(f915(x63751)))+P106(f326(f326(f328(f915(x63751)),f666(x63752,x63751)),f326(f172(f915(x63751)),x63752)))
% 178.51/178.25 [6385]E(f116(a1,f326(f129(a1),x63851),f128(x63852,f326(f326(f79(a1),x63851),f77(a1)))),f128(x63852,x63851))+P106(f326(f326(f235(a1),x63852),x63851))
% 178.51/178.25 [6439]~P106(f326(f326(f286(a914),x64391),x64392))+P106(f326(f326(f286(a914),x64391),f326(f326(f79(a914),x64392),x64391)))
% 178.51/178.25 [6461]E(f326(f326(f151(a1),x64611),f178(f326(f326(f79(a1),x64611),f77(a1)),x64612)),f178(x64611,x64612))+~P106(f326(f326(f234(a1),x64611),x64612))
% 178.51/178.25 [6501]~P106(f326(f326(f235(a914),x65012),x65011))+P106(f326(f326(f235(a914),f2(a914)),f326(f326(f3(a914),x65011),x65012)))
% 178.51/178.25 [6534]~P106(f326(f326(f235(a914),x65341),f326(a104,x65342)))+P106(f326(f326(f235(a1),f326(f100(a1),x65341)),x65342))
% 178.51/178.25 [6563]~P109(x65631)+E(f326(f326(f110(f922(x65631,a910)),f326(f281(x65631),x65632)),f326(f326(f308(x65631),x65632),f188(f922(x65631,a910)))),f326(f300(x65631),x65632))
% 178.51/178.25 [6564]~P106(f326(f326(f234(a1),f2(a1)),x65641))+P106(f326(f326(f234(a1),f2(a1)),f326(f326(f243(a1),x65641),x65642)))
% 178.51/178.25 [6567]~P106(f326(f326(f235(a914),f2(a914)),x65671))+P106(f326(f326(f235(a914),f2(a914)),f326(f326(f243(a914),x65671),x65672)))
% 178.51/178.25 [6594]~E(f326(x65941,f2(a914)),f2(a914))+E(f326(f326(f8(a914,a914),x65941),f302(a914,f326(a112,f2(a914)),x65942)),f326(f326(f8(a914,a914),x65941),f302(a914,f2(a914),x65942)))
% 178.51/178.25 [6659]~P95(x66591)+E(f326(f326(f80(x66591),f326(f326(f79(x66591),f77(x66591)),f77(x66591))),f326(f103(x66591),x66592)),f326(f103(x66591),f326(f326(f79(a1),x66592),x66592)))
% 178.51/178.25 [6676]E(f326(f326(f308(a1),x66761),f302(a1,f326(f326(f79(a1),x66761),f77(a1)),x66762)),f302(a1,x66761,x66762))+P106(f326(f326(f235(a1),x66762),x66761))
% 178.51/178.25 [6677]P106(f326(f326(f235(a914),x66771),f326(a104,x66772)))+~P106(f326(f326(f235(a1),f326(f100(a1),x66771)),x66772))
% 178.51/178.25 [6775]P106(f326(f326(f286(a914),x67751),x67752))+~P106(f326(f326(f286(a914),x67751),f326(f326(f79(a914),x67752),x67751)))
% 178.51/178.25 [6780]E(f326(a104,f326(f326(f36(a1),f326(f103(a1),x67801)),f326(f103(a1),x67802))),f326(f326(f36(a914),f326(f103(a914),x67801)),f326(f103(a914),x67802)))+P106(f326(a193,f326(f103(a1),x67801)))
% 178.51/178.25 [6839]P106(f326(f326(f235(a914),x68391),x68392))+~P106(f326(f326(f235(a914),f2(a914)),f326(f326(f3(a914),x68392),x68391)))
% 178.51/178.25 [6882]P106(f326(f326(f235(a914),f2(a914)),x68821))+~P106(f326(f326(f235(a914),f2(a914)),f326(f326(f80(a914),x68822),x68821)))
% 178.51/178.25 [6883]P106(f326(f326(f235(a914),f2(a914)),x68831))+~P106(f326(f326(f235(a914),f2(a914)),f326(f326(f80(a914),x68831),x68832)))
% 178.51/178.25 [6902]~P106(f326(f326(f234(a1),x69021),f2(a1)))+E(f326(f326(f80(a914),f326(a104,f326(f78(a1),x69021))),f326(a104,f326(f78(a1),x69022))),f326(a104,f326(f326(f80(a1),x69021),x69022)))
% 178.51/178.25 [6960]~E(x69602,f188(f922(x69601,a910)))+P106(f326(f326(f234(f922(x69601,a910)),x69602),f326(f78(f922(x69601,a910)),x69602)))
% 178.51/178.25 [7022]~P95(x70221)+E(f326(f326(f79(x70221),f326(f326(f79(x70221),f2(x70221)),f326(f103(x70221),x70222))),f326(f103(x70221),x70222)),f326(f103(x70221),f326(f326(f79(a1),x70222),x70222)))
% 178.51/178.25 [7076]~P106(f326(f326(f235(a1),x70761),x70762))+P106(f326(f326(f234(a1),f326(f326(f79(a1),x70761),f77(a1))),x70762))
% 178.51/178.25 [7143]E(x71431,f2(a914))+~P106(f326(f326(f234(a1),f326(f100(a1),x71432)),f326(f78(a1),f326(f100(a1),x71431))))
% 178.51/178.25 [7144]E(x71441,f2(a914))+~P106(f326(f326(f234(a1),f326(f100(a1),x71441)),f326(f78(a1),f326(f100(a1),x71442))))
% 178.51/178.25 [7246]E(f326(f326(f251(a1,a1),f326(f103(a1),a97)),f326(f326(f79(a1),x72461),x72462)),f50(x72461,x72462))+~P106(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),x72461),x72462)))
% 178.51/178.25 [7290]~P26(x72901,x72902)+P37(x72901,f326(f250(f922(f921(x72901,x72901),a910),f922(f921(x72901,x72901),a910)),x72902))
% 178.51/178.25 [7309]~P106(f326(f326(f234(a914),f326(a112,f2(a914))),x73091))+P106(f326(f326(f234(a914),f326(a112,f2(a914))),f326(f326(f243(a914),x73091),x73092)))
% 178.51/178.25 [7487]~P106(f326(f326(f234(a1),x74871),x74872))+P106(f326(f326(f234(a1),f326(f326(f79(a1),x74871),x74871)),f326(f326(f79(a1),x74872),x74872)))
% 178.51/178.25 [7492]~P106(f326(f326(f235(a1),x74921),x74922))+P106(f326(f326(f235(a1),f326(f326(f79(a1),x74921),x74921)),f326(f326(f79(a1),x74922),x74922)))
% 178.51/178.25 [7547]~P106(f326(f326(f235(a914),f2(a914)),x75471))+P106(f326(f326(f235(a914),f326(f326(f3(a914),x75471),f326(a112,x75472))),x75471))
% 178.51/178.25 [7581]P106(f326(f326(f234(a914),f326(a112,f2(a914))),x75811))+~P106(f326(f326(f234(a914),f326(a112,f2(a914))),f326(f326(f80(a914),x75812),x75811)))
% 178.51/178.25 [7582]P106(f326(f326(f234(a914),f326(a112,f2(a914))),x75821))+~P106(f326(f326(f234(a914),f326(a112,f2(a914))),f326(f326(f80(a914),x75821),x75822)))
% 178.51/178.25 [7586]P106(f326(f326(f234(a914),f326(f326(f164(a914),x75861),x75862)),f326(f165(a914),x75861)))+~P106(f326(f326(f235(a914),x75862),f326(f189(f915(a914)),x75861)))
% 178.51/178.25 [7624]P106(f326(f326(f235(a1),x76241),x76242))+~P106(f326(f326(f234(a1),f326(f326(f79(a1),x76241),f77(a1))),x76242))
% 178.51/178.25 [7666]P106(f326(f61(x76661),f241(f922(x76661,a910))))+~P106(f326(f61(f922(x76662,x76661)),f241(f922(f922(x76662,x76661),a910))))
% 178.51/178.25 [7667]P106(f326(f61(x76671),f241(f922(x76671,a910))))+~P106(f326(f61(f920(x76672,x76671)),f241(f922(f920(x76672,x76671),a910))))
% 178.51/178.25 [7668]P106(f326(f61(x76681),f241(f922(x76681,a910))))+~P106(f326(f61(f920(x76681,x76682)),f241(f922(f920(x76681,x76682),a910))))
% 178.51/178.25 [7707]E(x77071,f188(f922(x77072,a910)))+~P106(f326(f326(f234(f922(x77072,a910)),x77071),f326(f78(f922(x77072,a910)),x77071)))
% 178.51/178.25 [7843]E(f326(f142(f915(x78431),f915(x78431),f134(x78431),f113(x78431)),x78432),f113(x78431))+P106(f326(f326(f328(f915(x78431)),f696(x78432,x78431)),f326(f172(f915(x78431)),x78432)))
% 178.51/178.25 [7844]E(f326(f142(f915(x78441),f915(x78441),f134(x78441),f113(x78441)),x78442),f113(x78441))+P106(f326(f326(f328(f915(x78441)),f702(x78442,x78441)),f326(f172(f915(x78441)),x78442)))
% 178.51/178.25 [8076]P106(f326(f326(f234(a1),x80761),x80762))+~P106(f326(f326(f234(a1),f326(f326(f79(a1),x80761),x80761)),f326(f326(f79(a1),x80762),x80762)))
% 178.51/178.25 [8081]P106(f326(f326(f235(a1),x80811),x80812))+~P106(f326(f326(f235(a1),f326(f326(f79(a1),x80811),x80811)),f326(f326(f79(a1),x80812),x80812)))
% 178.51/178.25 [8173]~P113(x81731)+E(f326(f326(f80(x81731),f326(f326(f79(x81731),f77(x81731)),f77(x81731))),f326(f326(f8(a914,x81731),f100(x81731)),f302(a914,f77(a914),x81732))),f326(f326(f80(x81731),f326(f100(x81731),x81732)),f326(f326(f79(x81731),f326(f100(x81731),x81732)),f77(x81731))))
% 178.51/178.25 [8222]P106(f326(f326(f328(a914),x82221),x82222))+~P106(f326(f326(f328(a1),f326(f100(a1),x82221)),f326(f309(a914,a1,f100(a1)),x82222)))
% 178.51/178.25 [8375]~P106(f326(f61(x83751),x83752))+E(f326(f309(a914,x83751,f542(x83752,x83751)),f326(f261(a914),f326(f326(f9(a914,a914,a910),f235(a914)),f543(x83752,x83751)))),x83752)
% 178.51/178.25 [8652]P53(x86521,x86522)+P106(f326(f326(f328(f921(x86521,x86521)),f326(f326(f251(x86521,x86521),f477(x86522,x86521)),f477(x86522,x86521))),x86522))
% 178.51/178.25 [8653]P38(x86531,x86532)+P106(f326(f326(f328(f921(x86531,x86531)),f326(f326(f251(x86531,x86531),f793(x86532,x86531)),f798(x86532,x86531))),x86532))
% 178.51/178.25 [8654]P38(x86541,x86542)+P106(f326(f326(f328(f921(x86541,x86541)),f326(f326(f251(x86541,x86541),f798(x86542,x86541)),f799(x86542,x86541))),x86542))
% 178.51/178.25 [8655]P39(x86551,x86552)+P106(f326(f326(f328(f921(x86551,x86551)),f326(f326(f251(x86551,x86551),f706(x86552,x86551)),f705(x86552,x86551))),x86552))
% 178.51/178.25 [8656]P39(x86561,x86562)+P106(f326(f326(f328(f921(x86561,x86561)),f326(f326(f251(x86561,x86561),f705(x86562,x86561)),f706(x86562,x86561))),x86562))
% 178.51/178.25 [8657]P51(x86571,x86572)+P106(f326(f326(f328(f921(x86571,x86571)),f326(f326(f251(x86571,x86571),f801(x86572,x86571)),f802(x86572,x86571))),x86572))
% 178.51/178.25 [8797]~P95(x87971)+E(f326(f326(f3(x87971),f77(x87971)),f326(f103(x87971),x87972)),f326(f103(x87971),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f78(a1),x87972))))
% 178.51/178.25 [8922]~P106(f326(f326(f235(f922(a914,a910)),x89221),x89222))+P106(f326(f326(f235(f922(a1,a910)),f326(f309(a914,a1,f100(a1)),x89221)),f326(f309(a914,a1,f100(a1)),x89222)))
% 178.51/178.25 [8956]~P106(f326(f326(f235(a1),x89561),x89562))+P106(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x89561),x89561)),a97)),f326(f326(f79(a1),x89562),x89562)))
% 178.51/178.25 [8958]~P106(f326(f326(f235(a1),x89581),x89582))+P106(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x89581),x89581)),a97)),f326(f326(f79(a1),x89582),x89582)))
% 178.51/178.25 [9031]~P106(f326(f326(f328(a914),x90311),f326(f172(a914),x90312)))+P106(f326(f326(f234(a914),x90311),f326(f142(a914,a914,f79(a914),f2(a914)),x90312)))
% 178.51/178.25 [9120]P46(x91201,x91202)+~P106(f326(f326(f328(f921(x91201,x91201)),f326(f326(f251(x91201,x91201),f389(x91202,x91201)),f389(x91202,x91201))),x91202))
% 178.51/178.25 [9121]P38(x91211,x91212)+~P106(f326(f326(f328(f921(x91211,x91211)),f326(f326(f251(x91211,x91211),f793(x91212,x91211)),f799(x91212,x91211))),x91212))
% 178.51/178.25 [9122]P51(x91221,x91222)+~P106(f326(f326(f328(f921(x91221,x91221)),f326(f326(f251(x91221,x91221),f802(x91222,x91221)),f801(x91222,x91221))),x91222))
% 178.51/178.25 [9261]~P106(f326(f326(f234(f922(a1,a910)),f326(f309(a914,a1,f100(a1)),x92611)),f326(f309(a914,a1,f100(a1)),x92612)))+P106(f326(f326(f234(f922(a914,a910)),x92611),x92612))
% 178.51/178.25 [9262]~P106(f326(f326(f235(f922(a1,a910)),f326(f309(a914,a1,f100(a1)),x92621)),f326(f309(a914,a1,f100(a1)),x92622)))+P106(f326(f326(f235(f922(a914,a910)),x92621),x92622))
% 178.51/178.25 [9347]P106(f326(f326(f235(a1),x93471),x93472))+~P106(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93471),x93471)),a97)),f326(f326(f79(a1),x93472),x93472)))
% 178.51/178.25 [9349]P106(f326(f326(f235(a1),x93491),x93492))+~P106(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93491),x93491)),a97)),f326(f326(f79(a1),x93492),x93492)))
% 178.51/178.25 [10231]~P104(x102311)+E(f116(f915(x102311),f326(f129(f915(x102311)),f113(x102311)),f326(f326(f326(f96(f916(f915(x102311))),f326(f326(f235(a1),f2(a1)),x102312)),f326(f118(f921(x102311,f915(x102311)),f915(x102311),f131(x102311,f915(x102311),f132(x102311,f326(f326(f3(a1),x102312),f77(a1))),f132(f915(x102311),f326(f326(f3(a1),x102312),f77(a1))))),f326(f256(x102311,f915(x102311),f916(f915(x102311))),f326(f326(f10(f922(f915(x102311),f915(x102311)),f922(f915(x102311),f916(f915(x102311))),x102311),f326(f10(f915(x102311),f916(f915(x102311)),f915(x102311)),f129(f915(x102311)))),f151(x102311))))),f115(f915(x102311)))),f132(f915(x102311),x102312))
% 178.51/178.25 [10253]~P106(f326(f61(x102531),x102532))+E(f326(f189(f915(x102531)),f89(f915(x102531),f326(f326(f20(f915(x102531),a910,a910),f326(f326(f10(a910,f922(a910,a910),f915(x102531)),a325),f326(f326(f9(f915(x102531),f922(x102531,a910),a910),f326(f326(f10(f922(x102531,a910),f922(f922(x102531,a910),a910),f915(x102531)),a323),f172(x102531))),x102532))),f137(x102531)))),f214(x102531,x102532))
% 178.51/178.25 [6262]E(f326(f326(f79(a914),f326(f326(f3(a914),x62621),x62622)),x62622),x62621)+~P106(f326(f326(f234(a914),x62622),x62621))
% 178.51/178.25 [6336]E(f326(f326(f36(a914),f326(f326(f80(a914),x63361),x63362)),x63362),x63361)+~P106(f326(f326(f235(a914),f2(a914)),x63362))
% 178.51/178.25 [6337]E(f326(f326(f36(a914),f326(f326(f80(a914),x63371),x63372)),x63371),x63372)+~P106(f326(f326(f235(a914),f2(a914)),x63371))
% 178.51/178.25 [6341]~P70(x63411)+E(f326(f326(f8(a914,x63411),f326(f164(x63411),x63412)),f326(f301(a914,f2(a914)),f326(f189(f915(x63411)),x63412))),f326(f165(x63411),x63412))
% 178.51/178.25 [6453]E(f45(a914,f326(a112,f326(f326(f80(a914),x64531),x64532)),x64531),f77(a914))+~P106(f326(f326(f235(a914),f77(a914)),x64531))
% 178.51/178.25 [6459]E(f326(a112,f326(f326(f79(a914),f326(f103(a914),x64591)),x64592)),f326(f326(f79(a914),f77(a914)),x64592))+~P106(f326(a193,f326(f103(a1),x64591)))
% 178.51/178.25 [6488]E(f326(a104,f326(f326(f243(a1),f326(f103(a1),x64881)),x64882)),f326(f326(f243(a914),f326(f103(a914),x64881)),x64882))+P106(f326(a193,f326(f103(a1),x64881)))
% 178.51/178.25 [6731]E(f326(f326(f3(a914),x67311),f326(f103(a914),f326(f326(f79(a1),x67312),a97))),f326(f326(f3(a914),f326(a112,x67311)),f326(f103(a914),x67312)))+~P106(f326(f326(f235(a1),a82),x67312))
% 178.51/178.25 [6811]E(x68111,f2(a914))+E(f326(a112,f326(f326(f79(a914),f326(f326(f3(a914),x68111),f77(a914))),x68112)),f326(f326(f79(a914),x68111),x68112))
% 178.51/178.25 [6852]E(x68521,f2(a1))+P106(f326(f326(f235(a1),f2(a1)),f326(f326(f243(a1),f326(f75(a1),x68521)),x68522)))
% 178.51/178.25 [6867]~E(x68672,f2(a914))+P106(f326(f326(f235(a1),f2(a1)),f326(f326(f243(a1),f326(f75(a1),x68671)),x68672)))
% 178.51/178.25 [6905]E(x69051,f2(a914))+E(f326(f326(f79(a914),x69052),f326(f326(f80(a914),f326(f326(f3(a914),x69051),f77(a914))),x69052)),f326(f326(f80(a914),x69051),x69052))
% 178.51/178.25 [6953]~P106(f326(f326(f234(a1),x69531),x69532))+P106(f326(f326(f235(a1),f326(f326(f79(a1),x69531),a97)),x69532))
% 178.51/178.25 [7079]E(f326(f326(f151(a914),x70791),f139(a914,f326(f301(a914,f326(a112,x70791)),x70792))),f139(a914,f326(f301(a914,x70791),x70792)))+~P106(f326(f326(f235(a914),x70791),x70792))
% 178.51/178.25 [7281]E(x72811,x72812)+~E(f326(f326(f3(a1),f326(f326(f79(a1),x72811),x72811)),a97),f326(f326(f3(a1),f326(f326(f79(a1),x72812),x72812)),a97))
% 178.51/178.25 [7284]E(x72841,f113(x72842))+E(f265(x72842,f326(f326(f154(x72842,f921(a99,x72842)),f326(f251(a99,x72842),f77(a99))),x72841)),f274(x72842,x72841))
% 178.51/178.25 [7517]P106(f326(f326(f234(a1),x75171),x75172))+~P106(f326(f326(f235(a1),f326(f326(f79(a1),x75171),a97)),x75172))
% 178.51/178.25 [7982]~P106(f326(f326(f235(a914),x79821),x79822))+P106(f326(f326(f328(f921(a914,a914)),f326(f326(f251(a914,a914),x79821),x79822)),a239))
% 178.51/178.25 [8199]~P106(f326(f326(f235(a99),f2(a99)),x81991))+P106(f326(f326(f235(a99),f326(f250(a99,f921(a99,a99)),f326(f266(x81991),x81992))),x81991))
% 178.51/178.25 [8456]~P38(x84561,x84562)+P38(x84561,f326(f326(f110(f922(f921(x84561,x84561),a910)),x84562),f306(x84561,f188(f922(f921(x84561,x84561),a910)))))
% 178.51/178.25 [8457]~P39(x84571,x84572)+P39(x84571,f326(f326(f110(f922(f921(x84571,x84571),a910)),x84572),f306(x84571,f188(f922(f921(x84571,x84571),a910)))))
% 178.51/178.25 [8505]~P87(x85051)+P106(f326(f326(f234(x85051),f326(f75(x85051),f326(f165(x85051),x85052))),f326(f165(x85051),f326(f326(f154(x85051,x85051),f75(x85051)),x85052))))
% 178.51/178.25 [8531]P106(f326(f326(f235(a914),x85311),x85312))+~P106(f326(f326(f328(f921(a914,a914)),f326(f326(f251(a914,a914),x85311),x85312)),a239))
% 178.51/178.25 [8676]E(f326(f326(f251(x86761,x86761),f622(x86762,x86761)),f622(x86762,x86761)),x86762)+~P106(f326(f326(f328(f921(x86761,x86761)),x86762),f306(x86761,f188(f922(f921(x86761,x86761),a910)))))
% 178.51/178.25 [8719]E(f326(f301(a914,x87191),f326(f326(f79(a914),x87191),f326(f35(a914),x87192))),x87192)+~P106(f326(f326(f234(f922(a914,a910)),x87192),f326(f301(a914,x87191),f326(f326(f79(a914),x87191),f326(f35(a914),x87192)))))
% 178.51/178.25 [8949]P39(x89491,x89492)+~P39(x89491,f326(f326(f110(f922(f921(x89491,x89491),a910)),x89492),f306(x89491,f188(f922(f921(x89491,x89491),a910)))))
% 178.51/178.25 [9075]E(f326(f326(f36(a1),f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),x90751),x90751)),a97))),f326(f103(a1),f326(f326(f79(a1),x90752),x90752))),f326(f326(f36(a1),f326(f103(a1),x90751)),f326(f103(a1),x90752)))+~P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x90752)))
% 178.51/178.25 [9165]~P38(x91651,x91652)+P106(f326(f326(f234(f922(f921(x91651,x91651),a910)),f326(f326(f288(x91651,x91651,x91651),x91652),x91652)),x91652))
% 178.51/178.25 [9191]E(f177(f915(x91911),f326(f326(f10(a910,a910,f915(x91911)),a321),f326(f326(f9(f915(x91911),f915(x91911),a910),a323),f113(x91911))),x91912),f179(x91911,f179(x91911,x91912)))+~P12(a914,f326(f168(a914),f326(f326(f154(f915(x91911),a914),f189(f915(x91911))),x91912)))
% 178.51/178.25 [9194]E(f326(f326(f36(a1),f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),x91941),x91941)),a97))),f326(f103(a1),f326(f326(f79(a1),x91942),x91942))),f326(f326(f36(a1),f326(f326(f79(a1),f326(f103(a1),x91941)),f77(a1))),f326(f103(a1),x91942)))+P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x91942)))
% 178.51/178.25 [10040]P106(f326(a193,x100402))+E(f326(f326(f85(a1,a914),f326(f326(f3(a1),x100401),x100402)),f326(f326(f20(a1,a914,a914),f326(f326(f9(a1,a914,f922(a914,a914)),f326(f326(f10(a910,f922(a914,f922(a914,a914)),a1),f96(a914)),a193)),f2(a914))),a104)),f326(f326(f3(a914),f326(a104,x100401)),f326(a104,x100402)))
% 178.51/178.25 [10048]E(f326(f326(f85(a1,a914),f326(f103(a1),f326(f326(f79(a1),x100481),f326(f78(a1),x100482)))),f326(f326(f20(a1,a914,a914),f326(f326(f9(a1,a914,f922(a914,a914)),f326(f326(f10(a910,f922(a914,f922(a914,a914)),a1),f96(a914)),a193)),f2(a914))),a104)),f326(f326(f3(a914),f326(f103(a914),x100481)),f326(f103(a914),x100482)))+P106(f326(f326(f235(a1),x100482),a82))
% 178.51/178.25 [10049]~P26(x100491,x100492)+P106(f326(f326(f234(f922(f921(x100491,x100491),a910)),f326(f326(f288(x100491,x100491,x100491),f326(f250(f922(f921(x100491,x100491),a910),f922(f921(x100491,x100491),a910)),x100492)),f326(f255(f922(f921(x100491,x100491),a910),f922(f921(x100491,x100491),a910)),x100492))),f326(f250(f922(f921(x100491,x100491),a910),f922(f921(x100491,x100491),a910)),x100492)))
% 178.51/178.25 [10106]~E(f326(f35(a914),f326(f261(a914),f326(f326(f20(a914,a910,a910),f326(f326(f10(a910,f922(a910,a910),a914),a325),f326(f326(f9(a914,f922(a914,a910),a910),f328(a914)),x101061))),f326(f326(f9(a914,a914,a910),f235(a914)),f326(a112,x101062))))),f2(a914))+~P106(f326(f326(f328(a914),f2(a914)),x101061))
% 178.51/178.25 [10161]E(f45(a1,f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),x101611),x101611)),a97)),f326(f103(a1),f326(f326(f79(a1),x101612),x101612))),f326(f326(f79(a1),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f45(a1,f326(f103(a1),x101611),f326(f103(a1),x101612)))),f77(a1)))+~P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x101612)))
% 178.51/178.25 [10170]E(f45(a1,f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),x101701),x101701)),a97)),f326(f103(a1),f326(f326(f79(a1),x101702),x101702))),f326(f326(f3(a1),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f45(a1,f326(f326(f79(a1),f326(f103(a1),x101701)),f77(a1)),f326(f103(a1),x101702)))),f77(a1)))+P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x101702)))
% 178.51/178.25 [10220]~P4(x102201)+E(f37(x102201,f326(f261(x102201),f326(f326(f10(f922(x102201,a910),a910,x102201),f87(x102201)),f326(f326(f10(f922(x102201,a910),f922(x102201,a910),x102201),f326(f20(x102201,a910,a910),f326(f326(f10(a910,f922(a910,a910),x102201),a329),f326(f326(f9(x102201,f922(x102201,a910),a910),f328(x102201)),x102202)))),f234(x102201))))),f38(x102201,x102202))
% 178.51/178.25 [10246]~P37(x102461,x102462)+P59(x102461,f326(f326(f9(x102461,f922(f921(x102461,x102461),a910),f922(x102461,a910)),f326(f326(f10(f922(x102461,f922(f922(f921(x102461,x102461),a910),a910)),f922(f922(f921(x102461,x102461),a910),f922(x102461,a910)),x102461),f9(x102461,f922(f921(x102461,x102461),a910),a910)),f326(f326(f10(f922(x102461,f921(x102461,x102461)),f922(x102461,f922(f922(f921(x102461,x102461),a910),a910)),x102461),f326(f10(f921(x102461,x102461),f922(f922(f921(x102461,x102461),a910),a910),x102461),f328(f921(x102461,x102461)))),f251(x102461,x102461)))),x102462))
% 178.51/178.25 [10247]~P7(x102471,f241(f922(x102471,a910)),x102472)+P6(x102471,f326(f326(f9(x102471,f922(f921(x102471,x102471),a910),f922(x102471,a910)),f326(f326(f10(f922(x102471,f922(f922(f921(x102471,x102471),a910),a910)),f922(f922(f921(x102471,x102471),a910),f922(x102471,a910)),x102471),f9(x102471,f922(f921(x102471,x102471),a910),a910)),f326(f326(f10(f922(x102471,f921(x102471,x102471)),f922(x102471,f922(f922(f921(x102471,x102471),a910),a910)),x102471),f326(f10(f921(x102471,x102471),f922(f922(f921(x102471,x102471),a910),a910),x102471),f328(f921(x102471,x102471)))),f251(x102471,x102471)))),x102472))
% 178.51/178.25 [10293]P37(x102931,x102932)+~P59(x102931,f326(f326(f9(x102931,f922(f921(x102931,x102931),a910),f922(x102931,a910)),f326(f326(f10(f922(x102931,f922(f922(f921(x102931,x102931),a910),a910)),f922(f922(f921(x102931,x102931),a910),f922(x102931,a910)),x102931),f9(x102931,f922(f921(x102931,x102931),a910),a910)),f326(f326(f10(f922(x102931,f921(x102931,x102931)),f922(x102931,f922(f922(f921(x102931,x102931),a910),a910)),x102931),f326(f10(f921(x102931,x102931),f922(f922(f921(x102931,x102931),a910),a910),x102931),f328(f921(x102931,x102931)))),f251(x102931,x102931)))),x102932))
% 178.51/178.25 [10294]P7(x102941,f241(f922(x102941,a910)),x102942)+~P6(x102941,f326(f326(f9(x102941,f922(f921(x102941,x102941),a910),f922(x102941,a910)),f326(f326(f10(f922(x102941,f922(f922(f921(x102941,x102941),a910),a910)),f922(f922(f921(x102941,x102941),a910),f922(x102941,a910)),x102941),f9(x102941,f922(f921(x102941,x102941),a910),a910)),f326(f326(f10(f922(x102941,f921(x102941,x102941)),f922(x102941,f922(f922(f921(x102941,x102941),a910),a910)),x102941),f326(f10(f921(x102941,x102941),f922(f922(f921(x102941,x102941),a910),a910),x102941),f328(f921(x102941,x102941)))),f251(x102941,x102941)))),x102942))
% 178.51/178.25 [7467]E(f326(f326(f79(a914),f326(f103(a914),f326(f326(f3(a1),x74671),a97))),x74672),f326(a112,f326(f326(f79(a914),f326(f103(a914),x74671)),x74672)))+P106(f326(a193,f326(f103(a1),x74671)))
% 178.51/178.25 [7900]~P95(x79001)+E(f326(f326(f79(x79001),f326(f326(f79(x79001),f77(x79001)),f326(f103(x79001),x79002))),f326(f103(x79001),x79002)),f326(f103(x79001),f326(f326(f3(a1),f326(f326(f79(a1),x79002),x79002)),a97)))
% 178.51/178.25 [8533]~P106(f326(f326(f234(a1),x85331),x85332))+P106(f326(f326(f234(a1),f326(f326(f79(a1),x85331),x85331)),f326(f326(f3(a1),f326(f326(f79(a1),x85332),x85332)),a97)))
% 178.51/178.25 [8535]~P106(f326(f326(f234(a1),x85351),x85352))+P106(f326(f326(f235(a1),f326(f326(f79(a1),x85351),x85351)),f326(f326(f3(a1),f326(f326(f79(a1),x85352),x85352)),a97)))
% 178.51/178.25 [8960]P106(f326(f326(f234(a1),x89601),x89602))+~P106(f326(f326(f234(a1),f326(f326(f79(a1),x89601),x89601)),f326(f326(f3(a1),f326(f326(f79(a1),x89602),x89602)),a97)))
% 178.51/178.25 [8962]P106(f326(f326(f234(a1),x89621),x89622))+~P106(f326(f326(f235(a1),f326(f326(f79(a1),x89621),x89621)),f326(f326(f3(a1),f326(f326(f79(a1),x89622),x89622)),a97)))
% 178.51/178.25 [9250]~P106(f326(f326(f234(a1),x92501),x92502))+P106(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x92501),x92501)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),x92502),x92502)),a97)))
% 178.51/178.25 [9252]~P106(f326(f326(f235(a1),x92521),x92522))+P106(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x92521),x92521)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),x92522),x92522)),a97)))
% 178.51/178.25 [9521]P106(f326(f326(f234(a1),x95211),x95212))+~P106(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x95211),x95211)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),x95212),x95212)),a97)))
% 178.51/178.25 [9523]P106(f326(f326(f235(a1),x95231),x95232))+~P106(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x95231),x95231)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),x95232),x95232)),a97)))
% 178.51/178.25 [9556]~P106(f326(f61(x95561),x95562))+P106(f326(f61(f922(x95561,a910)),f326(f261(f922(x95561,a910)),f326(f326(f9(f922(x95561,a910),f922(x95561,a910),a910),f234(f922(x95561,a910))),x95562))))
% 178.51/178.25 [9606]~E(f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),x96061),f188(f922(f921(a914,a914),a910)))),f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),x96062),f188(f922(f921(a914,a914),a910)))))+P106(f326(f326(f328(f921(f921(a914,a914),f921(a914,a914))),f326(f326(f251(f921(a914,a914),f921(a914,a914)),x96061),x96062)),a108))
% 178.51/178.25 [9701]E(f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),x97011),f188(f922(f921(a914,a914),a910)))),f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),x97012),f188(f922(f921(a914,a914),a910)))))+~P106(f326(f326(f328(f921(f921(a914,a914),f921(a914,a914))),f326(f326(f251(f921(a914,a914),f921(a914,a914)),x97011),x97012)),a108))
% 178.51/178.25 [9737]P106(f326(f326(f234(a1),f2(a1)),f642(x97371,x97372)))+E(f326(f261(a1),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a325),f326(f234(a1),f2(a1)))),x97371)),f326(f261(a1),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a325),f326(f234(a1),f2(a1)))),x97372)))
% 178.51/178.25 [10230]~P4(x102301)+E(f38(x102301,f326(f261(x102301),f326(f326(f10(f922(x102301,a910),a910,x102301),f87(x102301)),f326(f326(f10(f922(x102301,a910),f922(x102301,a910),x102301),f326(f20(x102301,a910,a910),f326(f326(f10(a910,f922(a910,a910),x102301),a329),f326(f326(f9(x102301,f922(x102301,a910),a910),f328(x102301)),x102302)))),f326(f9(x102301,x102301,a910),f234(x102301)))))),f37(x102301,x102302))
% 178.51/178.25 [10252]P106(f326(f326(f328(a914),f2(a914)),x102521))+E(f326(f35(a914),f326(f261(a914),f326(f326(f20(a914,a910,a910),f326(f326(f10(a910,f922(a910,a910),a914),a325),f326(f326(f9(a914,f922(a914,a910),a910),f326(f326(f10(a914,f922(f922(a914,a910),a910),a914),f328(a914)),a112)),x102521))),f326(f326(f9(a914,a914,a910),f235(a914)),x102522)))),f326(f35(a914),f326(f261(a914),f326(f326(f20(a914,a910,a910),f326(f326(f10(a910,f922(a910,a910),a914),a325),f326(f326(f9(a914,f922(a914,a910),a910),f328(a914)),x102521))),f326(f326(f9(a914,a914,a910),f235(a914)),f326(a112,x102522))))))
% 178.51/178.25 [10313]P106(f326(f326(f286(a914),x103131),x103132))+~P106(f326(f326(f328(a914),x103132),f293(a914,f326(f326(f20(a914,f922(a914,a910),f922(a914,a910)),f326(f326(f10(f922(a914,f922(a910,a910)),f922(f922(a914,a910),f922(a914,a910)),a914),f20(a914,a910,a910)),f326(f326(f10(f922(a914,a910),f922(a914,f922(a910,a910)),a914),f326(f10(a910,f922(a910,a910),a914),a325)),f286(a914)))),f326(f326(f10(f922(a914,a910),f922(a914,a910),a914),f326(f10(a910,a910,a914),a321)),f326(f9(a914,a914,a910),f286(a914)))),x103131)))
% 178.51/178.25 [10314]P106(f326(f326(f286(a914),x103141),x103142))+~P106(f326(f326(f328(a914),x103141),f297(a914,f326(f326(f20(a914,f922(a914,a910),f922(a914,a910)),f326(f326(f10(f922(a914,f922(a910,a910)),f922(f922(a914,a910),f922(a914,a910)),a914),f20(a914,a910,a910)),f326(f326(f10(f922(a914,a910),f922(a914,f922(a910,a910)),a914),f326(f10(a910,f922(a910,a910),a914),a325)),f286(a914)))),f326(f326(f10(f922(a914,a910),f922(a914,a910),a914),f326(f10(a910,a910,a914),a321)),f326(f9(a914,a914,a910),f286(a914)))),x103142)))
% 178.51/178.25 [10315]~P106(f326(f326(f286(a914),x103151),x103152))+~P106(f326(f326(f328(a914),x103152),f297(a914,f326(f326(f20(a914,f922(a914,a910),f922(a914,a910)),f326(f326(f10(f922(a914,f922(a910,a910)),f922(f922(a914,a910),f922(a914,a910)),a914),f20(a914,a910,a910)),f326(f326(f10(f922(a914,a910),f922(a914,f922(a910,a910)),a914),f326(f10(a910,f922(a910,a910),a914),a325)),f286(a914)))),f326(f326(f10(f922(a914,a910),f922(a914,a910),a914),f326(f10(a910,a910,a914),a321)),f326(f9(a914,a914,a910),f286(a914)))),x103151)))
% 178.51/178.25 [10316]~P106(f326(f326(f286(a914),x103161),x103162))+~P106(f326(f326(f328(a914),x103161),f293(a914,f326(f326(f20(a914,f922(a914,a910),f922(a914,a910)),f326(f326(f10(f922(a914,f922(a910,a910)),f922(f922(a914,a910),f922(a914,a910)),a914),f20(a914,a910,a910)),f326(f326(f10(f922(a914,a910),f922(a914,f922(a910,a910)),a914),f326(f10(a910,f922(a910,a910),a914),a325)),f286(a914)))),f326(f326(f10(f922(a914,a910),f922(a914,a910),a914),f326(f10(a910,a910,a914),a321)),f326(f9(a914,a914,a910),f286(a914)))),x103162)))
% 178.51/178.25 [7771]~P95(x77711)+E(f326(f326(f80(x77711),x77712),f326(f103(x77711),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),x77712)
% 178.51/178.25 [8028]~P95(x80281)+E(f326(f326(f79(x80281),f326(f103(x80281),x80282)),f77(x80281)),f326(f103(x80281),f326(f326(f79(a1),x80282),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))
% 178.51/178.25 [8171]P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x81712)))+E(f326(f326(f243(a1),x81711),f326(f103(a914),f326(f326(f3(a1),f326(f326(f79(a1),x81712),x81712)),a97))),f77(a1))
% 178.51/178.25 [9581]~P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x95812)))+E(f326(f326(f243(a1),x95811),f326(f103(a914),f326(f326(f3(a1),f326(f326(f79(a1),x95812),x95812)),a97))),f326(f326(f85(a1,a1),f326(f326(f243(a1),x95811),f326(f103(a914),x95812))),f326(f326(f20(a1,a1,a1),f326(f326(f10(a1,f922(a1,a1),a1),f80(a1)),f326(f80(a1),x95811))),f7(a1))))
% 178.51/178.25 [9958]~P106(f326(f326(f234(a914),f648(x99582,x99581)),f326(x99581,f648(x99582,x99581))))+P106(f326(f61(a914),f326(f261(a914),f326(f326(f9(a914,a914,a910),f326(f326(f10(a914,f922(a914,a910),a914),f234(a914)),x99581)),x99582))))
% 178.51/178.25 [10096]~P106(f326(f326(f234(a914),f326(f103(a914),x100961)),f326(a112,x100962)))+P106(f326(f326(f85(a1,a910),f326(f103(a1),f326(f326(f79(a1),x100961),a97))),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a329),f326(f326(f10(a910,a910,a1),a321),a193))),f326(f326(f9(a1,a914,a910),f326(f326(f10(a914,f922(a914,a910),a1),f234(a914)),a104)),x100962))))
% 178.51/178.25 [10097]~P106(f326(f326(f235(a914),f326(f103(a914),x100971)),f326(a112,x100972)))+P106(f326(f326(f85(a1,a910),f326(f103(a1),f326(f326(f79(a1),x100971),a97))),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a329),f326(f326(f10(a910,a910,a1),a321),a193))),f326(f326(f9(a1,a914,a910),f326(f326(f10(a914,f922(a914,a910),a1),f235(a914)),a104)),x100972))))
% 178.51/178.25 [10145]P106(f326(f326(f234(a914),f326(f103(a914),x101451)),f326(a112,x101452)))+~P106(f326(f326(f85(a1,a910),f326(f103(a1),f326(f326(f79(a1),x101451),a97))),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a329),f326(f326(f10(a910,a910,a1),a321),a193))),f326(f326(f9(a1,a914,a910),f326(f326(f10(a914,f922(a914,a910),a1),f234(a914)),a104)),x101452))))
% 178.51/178.25 [10146]P106(f326(f326(f235(a914),f326(f103(a914),x101461)),f326(a112,x101462)))+~P106(f326(f326(f85(a1,a910),f326(f103(a1),f326(f326(f79(a1),x101461),a97))),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a329),f326(f326(f10(a910,a910,a1),a321),a193))),f326(f326(f9(a1,a914,a910),f326(f326(f10(a914,f922(a914,a910),a1),f235(a914)),a104)),x101462))))
% 178.51/178.25 [10176]~P106(f326(f326(f234(a914),f326(a112,x101762)),f326(f103(a914),x101761)))+P106(f326(f326(f85(a1,a910),f326(f103(a1),f326(f326(f79(a1),x101761),a97))),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a325),f326(f326(f10(a910,a910,a1),a321),a193))),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a329),f326(f326(f10(a910,a910,a1),a321),a193))),f326(f326(f10(a914,a910,a1),f326(f234(a914),x101762)),a104)))))
% 178.51/178.25 [10177]~P106(f326(f326(f235(a914),f326(a112,x101772)),f326(f103(a914),x101771)))+P106(f326(f326(f85(a1,a910),f326(f103(a1),f326(f326(f79(a1),x101771),a97))),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a325),f326(f326(f10(a910,a910,a1),a321),a193))),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a329),f326(f326(f10(a910,a910,a1),a321),a193))),f326(f326(f10(a914,a910,a1),f326(f235(a914),x101772)),a104)))))
% 178.51/178.25 [10218]P106(f326(f326(f234(a914),f326(a112,x102181)),f326(f103(a914),x102182)))+~P106(f326(f326(f85(a1,a910),f326(f103(a1),f326(f326(f79(a1),x102182),a97))),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a325),f326(f326(f10(a910,a910,a1),a321),a193))),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a329),f326(f326(f10(a910,a910,a1),a321),a193))),f326(f326(f10(a914,a910,a1),f326(f234(a914),x102181)),a104)))))
% 178.51/178.25 [10219]P106(f326(f326(f235(a914),f326(a112,x102191)),f326(f103(a914),x102192)))+~P106(f326(f326(f85(a1,a910),f326(f103(a1),f326(f326(f79(a1),x102192),a97))),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a325),f326(f326(f10(a910,a910,a1),a321),a193))),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a329),f326(f326(f10(a910,a910,a1),a321),a193))),f326(f326(f10(a914,a910,a1),f326(f235(a914),x102191)),a104)))))
% 178.51/178.25 [10303]~P106(f326(f326(f328(a914),f2(a914)),x103031))+E(f326(a112,f326(f35(a914),f326(f261(a914),f326(f326(f20(a914,a910,a910),f326(f326(f10(a910,f922(a910,a910),a914),a325),f326(f326(f9(a914,f922(a914,a910),a910),f326(f326(f10(a914,f922(f922(a914,a910),a910),a914),f328(a914)),a112)),x103031))),f326(f326(f9(a914,a914,a910),f235(a914)),x103032))))),f326(f35(a914),f326(f261(a914),f326(f326(f20(a914,a910,a910),f326(f326(f10(a910,f922(a910,a910),a914),a325),f326(f326(f9(a914,f922(a914,a910),a910),f328(a914)),x103031))),f326(f326(f9(a914,a914,a910),f235(a914)),f326(a112,x103032))))))
% 178.51/178.25 [8702]~P95(x87021)+E(f326(f326(f80(x87021),f326(f103(x87021),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),x87022),x87022)
% 178.51/178.25 [8763]~P95(x87631)+E(f326(f326(f79(x87631),f77(x87631)),f326(f103(x87631),x87632)),f326(f103(x87631),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),x87632)))
% 178.51/178.25 [8825]~P95(x88251)+E(f326(f326(f3(x88251),f326(f103(x88251),x88252)),f77(x88251)),f326(f103(x88251),f326(f326(f79(a1),x88252),f326(f78(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 178.51/178.25 [8979]~P106(f326(f326(f235(a914),f326(f103(a914),a82)),x89792))+E(f326(f326(f3(a914),x89791),f326(f326(f3(a914),x89792),f326(f103(a914),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f3(a914),f326(a112,x89791)),x89792))
% 178.51/178.25 [9624]~P113(x96241)+E(f326(f326(f80(x96241),x96242),x96242),f326(f326(f243(x96241),x96242),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 178.51/178.25 [9625]~P82(x96251)+E(f326(f326(f243(x96251),x96252),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f80(x96251),x96252),x96252))
% 178.51/178.25 [9627]~P95(x96271)+E(f326(f326(f80(x96271),x96272),f326(f103(x96271),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f79(x96271),x96272),x96272))
% 178.51/178.25 [9876]~P119(x98761)+E(f326(f326(f243(x98761),f326(f75(x98761),x98762)),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f243(x98761),x98762),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 178.51/178.25 [9877]~P141(x98771)+E(f326(f326(f243(x98771),f326(f78(x98771),x98772)),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f243(x98771),x98772),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 178.51/178.25 [9873]~P95(x98731)+E(f326(f326(f80(x98731),f326(f103(x98731),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x98732),f326(f326(f79(x98731),x98732),x98732))
% 178.51/178.25 [9991]~P119(x99911)+E(f326(f75(x99911),f326(f326(f243(x99911),x99912),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x99911),x99912),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 178.51/178.25 [10056]~P119(x100561)+P106(f326(f326(f234(x100561),f2(x100561)),f326(f326(f243(x100561),x100562),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 178.51/178.25 [10209]~E(f326(a112,x102092),f326(f103(a914),x102091))+P106(f326(f326(f85(a1,a910),f326(f103(a1),f326(f326(f79(a1),x102091),a97))),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a325),f326(f326(f10(a910,a910,a1),a321),a193))),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a329),f326(f326(f10(a910,a910,a1),a321),a193))),f326(f326(f9(a1,a914,a910),f326(f326(f10(a914,f922(a914,a910),a1),a323),a104)),x102092)))))
% 178.51/178.25 [10210]~E(f326(f103(a914),x102101),f326(a112,x102102))+P106(f326(f326(f85(a1,a910),f326(f103(a1),f326(f326(f79(a1),x102101),a97))),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a325),f326(f326(f10(a910,a910,a1),a321),a193))),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a329),f326(f326(f10(a910,a910,a1),a321),a193))),f326(f326(f9(a1,a914,a910),f326(f326(f10(a914,f922(a914,a910),a1),a323),a104)),x102102)))))
% 178.51/178.25 [10255]E(f326(a112,x102551),f326(f103(a914),x102552))+~P106(f326(f326(f85(a1,a910),f326(f103(a1),f326(f326(f79(a1),x102552),a97))),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a325),f326(f326(f10(a910,a910,a1),a321),a193))),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a329),f326(f326(f10(a910,a910,a1),a321),a193))),f326(f326(f9(a1,a914,a910),f326(f326(f10(a914,f922(a914,a910),a1),a323),a104)),x102551)))))
% 178.51/178.25 [10256]E(f326(f103(a914),x102561),f326(a112,x102562))+~P106(f326(f326(f85(a1,a910),f326(f103(a1),f326(f326(f79(a1),x102561),a97))),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a325),f326(f326(f10(a910,a910,a1),a321),a193))),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a329),f326(f326(f10(a910,a910,a1),a321),a193))),f326(f326(f9(a1,a914,a910),f326(f326(f10(a914,f922(a914,a910),a1),a323),a104)),x102562)))))
% 178.51/178.25 [10304]~P14(x103041,x103042)+P106(f326(f326(f328(f922(x103041,a910)),f810(x103042,x103041)),f326(f326(f10(f922(x103041,a910),a910,f922(x103041,a910)),f86(x103041)),f326(f326(f10(f922(x103041,a910),f922(x103041,a910),f922(x103041,a910)),f326(f20(x103041,a910,a910),f326(f326(f10(a910,f922(a910,a910),x103041),a325),f326(f326(f20(x103041,x103041,a910),x103042),f7(x103041))))),f326(f326(f9(f922(x103041,a910),f922(x103041,f922(x103041,a910)),f922(x103041,a910)),f326(f326(f10(f922(f922(x103041,a910),a910),f922(f922(x103041,f922(x103041,a910)),f922(x103041,a910)),f922(x103041,a910)),f10(f922(x103041,a910),a910,x103041)),a323)),x103042)))))
% 178.51/178.25 [10054]~P95(x100541)+E(f326(f326(f243(x100541),f326(f103(x100541),a97)),f326(f326(f80(a914),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x100542)),f77(x100541))
% 178.51/178.25 [10055]~P141(x100551)+E(f326(f326(f243(x100551),f326(f78(x100551),f77(x100551))),f326(f326(f80(a914),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x100552)),f77(x100551))
% 178.51/178.25 [10058]~P82(x100581)+E(f326(f326(f243(x100581),x100582),f326(f103(a914),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),f326(f326(f80(x100581),f326(f326(f80(x100581),x100582),x100582)),x100582))
% 178.51/178.25 [10235]~P106(f326(f326(f234(a1),f2(a1)),x102352))+E(f45(a1,f326(f326(f79(a1),f77(a1)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102351)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102352)),f326(f326(f79(a1),f77(a1)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f45(a1,x102351,x102352))))
% 178.51/178.25 [10258]~P106(f326(f326(f234(a1),f2(a1)),x102582))+E(f326(f326(f36(a1),f326(f326(f79(a1),f77(a1)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102581))),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102582)),f326(f326(f36(a1),x102581),x102582))
% 178.51/178.25 [10260]~P106(f326(f326(f234(a1),x102602),f2(a1)))+E(f326(f326(f36(a1),f326(f326(f79(a1),f77(a1)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102601))),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102602)),f326(f326(f36(a1),f326(f326(f79(a1),x102601),f77(a1))),x102602))
% 178.51/178.25 [10261]~P106(f326(f326(f234(a1),x102612),f2(a1)))+E(f45(a1,f326(f326(f79(a1),f77(a1)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102611)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102612)),f326(f326(f3(a1),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f45(a1,f326(f326(f79(a1),x102611),f77(a1)),x102612))),f77(a1)))
% 178.51/178.25 [10136]~P95(x101361)+E(f326(f326(f243(x101361),f326(f103(x101361),a97)),f326(a112,f326(f326(f80(a914),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101362))),f326(f103(x101361),a97))
% 178.51/178.25 [10138]~P141(x101381)+E(f326(f326(f243(x101381),f326(f78(x101381),f77(x101381))),f326(a112,f326(f326(f80(a914),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101382))),f326(f78(x101381),f77(x101381)))
% 178.51/178.25 [5121]P38(x51211,x51212)+~P7(x51211,x51213,x51212)
% 178.51/178.25 [5123]P51(x51231,x51232)+~P7(x51231,x51233,x51232)
% 178.51/178.25 [5295]~P23(x52951,x52952,x52953)+P28(x52951,x52952,x52953)
% 178.51/178.25 [5297]~P7(x52971,x52972,x52973)+P52(x52971,x52972,x52973)
% 178.51/178.25 [8237]~E(x82372,x82373)+P34(x82371,x82371,a323,x82372,x82373)
% 178.51/178.25 [8776]E(x87761,x87762)+~P34(x87763,x87763,a323,x87761,x87762)
% 178.51/178.25 [4925]E(f169(x49251,x49252,x49253),f113(x49251))+~E(x49252,f2(a914))
% 178.51/178.25 [5093]~E(f169(x50932,x50931,x50933),f113(x50932))+E(x50931,f2(a914))
% 178.51/178.25 [5302]~P37(x53021,x53023)+P37(x53021,f320(x53021,x53022,x53023))
% 178.51/178.25 [5412]~P29(x54121,x54122,x54123)+P31(a1,x54121,f178(x54122,x54123))
% 178.51/178.25 [5484]P29(x54841,x54842,x54843)+~P31(a1,x54841,f178(x54842,x54843))
% 178.51/178.25 [5555]~P7(x55551,x55552,x55553)+P7(f915(x55551),f161(x55551,x55552),f158(x55551,x55553))
% 178.51/178.25 [5556]~P52(x55561,x55562,x55563)+P52(f915(x55561),f161(x55561,x55562),f158(x55561,x55563))
% 178.51/178.25 [5667]P54(x56671,x56672,x56673)+~E(f596(x56673,x56672,x56671),f597(x56673,x56672,x56671))
% 178.51/178.25 [5668]P55(x56681,x56682,x56683)+~E(f617(x56683,x56682,x56681),f618(x56683,x56682,x56681))
% 178.51/178.25 [8243]~E(x82432,x82433)+P25(x82431,x82431,f31(x82431),x82432,x82433)
% 178.51/178.25 [8784]E(x87841,x87842)+~P25(x87843,x87843,f31(x87843),x87841,x87842)
% 178.51/178.25 [4880]~E(f326(f168(x48802),x48801),x48803)+E(x48801,f326(f168(x48802),x48803))
% 178.51/178.25 [4881]~E(x48812,f326(f168(x48811),x48813))+E(f326(f168(x48811),x48812),x48813)
% 178.51/178.25 [4931]E(x49311,x49312)+~E(f326(f168(x49313),x49311),f326(f168(x49313),x49312))
% 178.51/178.25 [5147]~P6(x51473,x51471)+P106(f326(f326(x51471,x51472),x51472))
% 178.51/178.25 [5148]~P43(x51483,x51481)+P106(f326(f326(x51481,x51482),x51482))
% 178.51/178.25 [5150]~P59(x51501,x51502)+P106(f326(f314(x51501,x51502),x51503))
% 178.51/178.25 [5216]~P37(x52161,x52162)+P37(f915(x52161),f326(f143(x52161,x52162),x52163))
% 178.51/178.25 [5221]~P106(f326(x52212,x52213))+~E(f326(f261(x52211),x52212),f188(f922(x52211,a910)))
% 178.51/178.25 [5222]~P106(f326(x52222,x52223))+~E(f188(f922(x52221,a910)),f326(f261(x52221),x52222))
% 178.51/178.25 [5234]E(x52341,f2(a914))+E(f144(x52342,f169(x52342,x52341,x52343)),x52343)
% 178.51/178.25 [5253]~P106(f326(x52531,x52533))+P106(f326(x52531,f89(x52532,x52531)))
% 178.51/178.25 [5254]~P106(f326(x52541,x52543))+P106(f326(x52541,f737(x52541,x52542)))
% 178.51/178.25 [5266]E(x52661,f2(a914))+E(f326(f141(x52662),f169(x52662,x52661,x52663)),x52663)
% 178.51/178.25 [5373]~E(x53732,x53733)+P106(f326(f326(f328(x53731),x53732),f326(a323,x53733)))
% 178.51/178.25 [5389]~E(x53892,f2(a914))+E(f326(f172(x53891),f169(x53891,x53892,x53893)),f188(f922(x53891,a910)))
% 178.51/178.25 [5434]E(f326(f168(x54341),x54342),f326(f326(f151(x54341),x54343),f113(x54341)))+~E(x54342,f326(f326(f151(x54341),x54343),f113(x54341)))
% 178.51/178.25 [5435]~E(x54353,f326(f326(f151(x54351),x54352),f113(x54351)))+E(f326(f326(f151(x54351),x54352),f113(x54351)),f326(f168(x54351),x54353))
% 178.51/178.25 [5480]~P33(x54801,x54802,x54803)+P33(x54801,x54802,f326(f168(x54801),x54803))
% 178.51/178.25 [5481]~P31(x54811,x54812,x54813)+P31(x54811,x54812,f326(f168(x54811),x54813))
% 178.51/178.25 [5485]E(f326(f35(x54851),f816(x54852,x54853,x54851)),x54852)+~E(f326(f35(x54851),x54853),f326(a112,x54852))
% 178.51/178.25 [5492]~P37(x54921,x54923)+P106(f326(f326(f328(x54921),x54922),f315(x54921,x54923)))
% 178.51/178.25 [5496]~E(f326(f168(x54962),x54961),f326(f326(f151(x54962),x54963),f113(x54962)))+E(x54961,f326(f326(f151(x54962),x54963),f113(x54962)))
% 178.51/178.25 [5497]~E(f326(f326(f151(x54972),x54973),f113(x54972)),f326(f168(x54972),x54971))+E(x54971,f326(f326(f151(x54972),x54973),f113(x54972)))
% 178.51/178.25 [5520]E(f84(f921(a914,a914),f48(x55201,x55202)),x55203)+~P106(f326(f48(x55201,x55202),x55203))
% 178.51/178.25 [5559]P33(x55591,x55592,x55593)+~P33(x55591,x55592,f326(f168(x55591),x55593))
% 178.51/178.25 [5560]P31(x55601,x55602,x55603)+~P31(x55601,x55602,f326(f168(x55601),x55603))
% 178.51/178.25 [5598]P106(f326(f326(x55981,x55982),x55982))+~P106(f326(f269(x55983,x55981),x55982))
% 178.51/178.25 [5599]~P106(f326(f326(x55992,x55993),x55993))+P106(f326(f269(x55991,x55992),x55993))
% 178.51/178.25 [5621]~E(x56212,f113(x56211))+P106(f326(f326(f328(f915(x56211)),x56212),f161(x56211,x56213)))
% 178.51/178.25 [5630]~P52(x56301,x56302,x56303)+P52(x56301,x56302,f326(f285(x56301,x56301),x56303))
% 178.51/178.25 [5631]~P55(x56311,x56312,x56313)+P55(x56311,x56312,f326(f285(x56311,x56311),x56313))
% 178.51/178.25 [5648]~P60(x56481)+E(f45(x56481,f45(x56481,x56482,x56483),x56483),f45(x56481,x56482,x56483))
% 178.51/178.25 [5750]E(x57501,x57502)+~P106(f326(f326(f328(x57503),x57501),f326(a323,x57502)))
% 178.51/178.25 [5796]~P144(x57961)+E(f190(x57961,x57962,f2(a914),x57963),x57963)
% 178.51/178.25 [5818]P52(x58181,x58182,x58183)+~P52(x58181,x58182,f326(f285(x58181,x58181),x58183))
% 178.51/178.25 [5819]P55(x58191,x58192,x58193)+~P55(x58191,x58192,f326(f285(x58191,x58191),x58193))
% 178.51/178.25 [5823]~P109(x58232)+E(f150(x58231,x58232,x58233,f113(x58231)),f113(x58231))
% 178.51/178.25 [5835]E(f170(x58351,x58352,f152(x58351,x58353)),f152(x58351,f170(x58351,x58352,x58353)))+~P106(f326(f137(x58351),x58353))
% 178.51/178.25 [5934]~P106(f326(f326(x59343,x59342),x59342))+P106(f326(f326(f328(x59341),x59342),f269(x59341,x59343)))
% 178.51/178.25 [5936]E(f326(f136(x59361,x59362),x59363),f113(x59361))+P106(f326(x59362,f675(x59363,x59362,x59361)))
% 178.51/178.25 [6004]E(f68(x60041,x60042,x60043),x60042)+P106(f326(x60043,f738(x60042,x60041,x60043)))
% 178.51/178.25 [6096]~P106(f326(f137(x60961),x60962))+P106(f326(f137(x60961),f176(x60961,x60962,x60963)))
% 178.51/178.25 [6097]~P106(f326(f137(x60971),x60973))+P106(f326(f137(x60971),f170(x60971,x60972,x60973)))
% 178.51/178.25 [6098]~P106(f326(f137(x60981),x60983))+P106(f326(f137(x60981),f177(x60981,x60982,x60983)))
% 178.51/178.25 [6099]~P106(f326(f137(x60991),x60993))+P106(f326(f137(x60991),f140(x60991,x60992,x60993)))
% 178.51/178.25 [6100]~P146(x61001,x61003,x61002)+P106(f326(x61001,f45(a1,x61002,x61003)))
% 178.51/178.25 [6116]~P33(x61163,x61161,x61162)+P106(f326(x61161,f750(x61162,x61161,x61163)))
% 178.51/178.25 [6117]~P35(x61173,x61171,x61172)+P106(f326(x61171,f757(x61172,x61171,x61173)))
% 178.51/178.25 [6118]~P35(x61183,x61181,x61182)+P106(f326(x61181,f767(x61182,x61181,x61183)))
% 178.51/178.25 [6119]~P33(x61193,x61191,x61192)+P106(f326(x61191,f782(x61192,x61191,x61193)))
% 178.51/178.25 [6120]~P33(x61203,x61201,x61202)+P106(f326(x61201,f790(x61201,x61202,x61203)))
% 178.51/178.25 [6124]P106(f326(f326(x61241,x61242),x61242))+~P106(f326(f326(f328(x61243),x61242),f269(x61243,x61241)))
% 178.51/178.25 [6139]E(f326(f136(x61391,x61392),x61393),f177(x61391,x61392,x61393))+P106(f326(x61392,f722(x61393,x61392,x61391)))
% 178.51/178.25 [6178]~P106(f326(f137(x61781),x61783))+P106(f326(f137(f915(x61781)),f55(x61781,x61782,x61783)))
% 178.51/178.25 [6212]~P110(x62121)+E(f326(f326(f101(f922(x62121,a910)),f326(f281(x62121),x62122)),f302(x62121,x62122,x62123)),f188(f922(x62121,a910)))
% 178.51/178.25 [6213]~P110(x62131)+E(f326(f326(f101(f922(x62131,a910)),f326(f300(x62131),x62132)),f305(x62131,x62132,x62133)),f188(f922(x62131,a910)))
% 178.51/178.25 [6214]~P110(x62141)+E(f326(f326(f101(f922(x62141,a910)),f326(f300(x62141),x62142)),f304(x62141,x62142,x62143)),f188(f922(x62141,a910)))
% 178.51/178.25 [6448]E(f326(f136(x64481,x64482),x64483),x64483)+~P106(f326(x64482,f676(x64483,x64482,x64481)))
% 178.51/178.25 [6450]E(f326(f326(f308(x64501),f881(x64502,x64503,x64501)),f816(x64502,x64503,x64501)),x64503)+~E(f326(f35(x64501),x64503),f326(a112,x64502))
% 178.51/178.25 [6466]P146(x64661,x64662,x64663)+~P106(f326(x64661,f45(a1,x64663,x64662)))
% 178.51/178.25 [6516]P31(x65161,x65162,x65163)+~P106(f326(x65162,f758(x65163,x65162,x65161)))
% 178.51/178.25 [6517]P31(x65171,x65172,x65173)+~P106(f326(x65172,f764(x65172,x65173,x65171)))
% 178.51/178.25 [6518]P31(x65181,x65182,x65183)+~P106(f326(x65182,f765(x65183,x65182,x65181)))
% 178.51/178.25 [6519]P29(x65191,x65192,x65193)+~P106(f326(x65191,f783(x65193,x65192,x65191)))
% 178.51/178.25 [6520]P30(x65201,x65202,x65203)+~P106(f326(x65201,f829(x65203,x65202,x65201)))
% 178.51/178.25 [6522]E(f177(x65221,x65222,x65223),x65223)+~P106(f326(x65222,f717(x65223,x65222,x65221)))
% 178.51/178.25 [6603]~P106(f326(x66032,f573(x66033,x66032,x66031)))+P106(f326(f247(x66031,x66032),x66033))
% 178.51/178.25 [6604]~P106(f326(x66042,f677(x66043,x66042,x66041)))+P106(f326(f160(x66041,x66042),x66043))
% 178.51/178.25 [6853]~P106(f326(f314(x68531,x68532),f384(x68533,x68532,x68531)))+P106(f326(f314(x68531,x68532),x68533))
% 178.51/178.25 [6854]~P106(f326(f314(x68541,x68542),f390(x68543,x68542,x68541)))+P106(f326(f314(x68541,x68542),x68543))
% 178.51/178.25 [7468]~P60(x74681)+E(f326(f326(f79(x74681),f326(f326(f80(x74681),x74682),f326(f326(f36(x74681),x74683),x74682))),f45(x74681,x74683,x74682)),x74683)
% 178.51/178.25 [7497]P29(x74971,x74972,x74973)+P106(f326(f326(f328(a1),f783(x74973,x74972,x74971)),f302(a1,x74972,x74973)))
% 178.51/178.25 [7921]E(f326(f326(f251(x79211,x79211),f476(x79212,x79213,x79211)),f476(x79212,x79213,x79211)),x79213)+~P106(f326(f326(f328(f921(x79211,x79211)),x79213),f262(x79211,x79212)))
% 178.51/178.25 [8036]~P106(f326(f326(f328(x80361),f526(x80363,x80362,x80361)),f315(x80361,x80363)))+P106(f326(f326(f328(x80361),x80362),f315(x80361,x80363)))
% 178.51/178.25 [8037]~P106(f326(f326(f328(x80371),f602(x80373,x80372,x80371)),f315(x80371,x80373)))+P106(f326(f326(f328(x80371),x80372),f315(x80371,x80373)))
% 178.51/178.25 [8038]~P106(f326(f326(f328(x80381),f605(x80383,x80382,x80381)),f315(x80381,x80383)))+P106(f326(f326(f328(x80381),x80382),f315(x80381,x80383)))
% 178.51/178.25 [8130]P33(a1,x81301,f178(x81302,x81303))+P29(f326(f72(a910,a910,a1,a321),x81301),x81302,x81303)
% 178.51/178.25 [8218]~P60(x82181)+E(f326(f326(f79(x82181),f326(f326(f80(x82181),f326(f326(f36(x82181),x82182),x82183)),x82183)),f45(x82181,x82182,x82183)),x82182)
% 178.51/178.25 [8264]~E(f326(f35(x82641),x82642),f326(a112,x82643))+~P106(f326(f326(f328(x82641),f881(x82643,x82642,x82641)),f816(x82643,x82642,x82641)))
% 178.51/178.25 [8694]~P33(a1,x86941,f178(x86942,x86943))+~P29(f326(f72(a910,a910,a1,a321),x86941),x86942,x86943)
% 178.51/178.25 [8881]P106(f326(f326(f234(f922(f921(x88811,x88811),a910)),f306(x88811,x88812)),f306(x88811,x88813)))+~P106(f326(f326(f234(f922(f921(x88811,x88811),a910)),x88812),f306(x88811,x88813)))
% 178.51/178.25 [9161]E(x91611,f113(x91612))+~P106(f326(f326(f328(f921(f915(x91612),f915(x91612))),f326(f326(f251(f915(x91612),f915(x91612)),x91611),f113(x91612))),f158(x91612,x91613)))
% 178.51/178.25 [9185]E(x91851,f113(x91852))+~P106(f326(f326(f328(f921(f915(x91852),f915(x91852))),f326(f326(f251(f915(x91852),f915(x91852)),f113(x91852)),x91851)),f158(x91852,x91853)))
% 178.51/178.25 [9310]E(f326(f326(f151(x93101),f691(x93102,x93103,x93101)),f692(x93102,x93103,x93101)),x93103)+~P106(f326(f326(f328(f921(f915(x93101),f915(x93101))),f326(f326(f251(f915(x93101),f915(x93101)),f113(x93101)),x93103)),f147(x93101,x93102)))
% 178.51/178.25 [9549]~P127(x95491)+~P106(f326(f326(f235(x95491),f326(f326(f79(x95491),f326(f326(f80(x95491),x95492),x95492)),f326(f326(f80(x95491),x95493),x95493))),f2(x95491)))
% 178.51/178.25 [9598]P106(f326(f61(x95981),x95982))+~P106(f326(f326(f328(f921(f922(x95981,a910),f922(x95981,a910))),f326(f326(f251(f922(x95981,a910),f922(x95981,a910)),x95983),x95982)),f313(x95981)))
% 178.51/178.25 [9902]~P47(x99021,x99022,x99023)+P106(f326(f326(f234(a1),f326(f326(f72(f921(a1,a1),a1,x99021,f250(a1,a1)),f212(x99021)),f230(x99021,x99022,f227(x99021,x99023)))),f2(a1)))
% 178.51/178.25 [9903]~P48(x99031,x99032,x99033)+P106(f326(f326(f235(a1),f326(f326(f72(f921(a1,a1),a1,x99031,f250(a1,a1)),f212(x99031)),f230(x99031,x99032,f227(x99031,x99033)))),f2(a1)))
% 178.51/178.25 [10022]P48(x100221,x100222,x100223)+~P106(f326(f326(f235(a1),f326(f326(f72(f921(a1,a1),a1,x100221,f250(a1,a1)),f212(x100221)),f230(x100221,x100222,f227(x100221,x100223)))),f2(a1)))
% 178.51/178.25 [10023]P47(x100231,x100232,x100233)+~P106(f326(f326(f234(a1),f326(f326(f72(f921(a1,a1),a1,x100231,f250(a1,a1)),f212(x100231)),f230(x100231,x100232,f227(x100231,x100233)))),f2(a1)))
% 178.51/178.25 [10368]~P119(x103681)+~P106(f326(f326(f235(x103681),f326(f326(f79(x103681),f326(f326(f243(x103681),x103682),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103681),x103683),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f2(x103681)))
% 178.51/178.25 [4910]~E(x49103,f113(x49101))+E(f326(f326(f134(x49101),x49102),x49103),x49102)
% 178.51/178.25 [4911]~E(x49112,f113(x49111))+E(f326(f326(f134(x49111),x49112),x49113),x49113)
% 178.51/178.25 [4917]~E(x49172,f2(a914))+E(f326(f326(f175(x49171),x49172),x49173),f113(x49171))
% 178.51/178.25 [4926]~E(x49263,f113(x49261))+E(f326(f326(f175(x49261),x49262),x49263),f113(x49261))
% 178.51/178.25 [4965]~E(x49651,x49653)+E(x49651,f326(f326(f134(x49652),f113(x49652)),x49653))
% 178.51/178.25 [5056]~P1(x50562)+E(f326(f188(f922(x50561,x50562)),x50563),f188(x50562))
% 178.51/178.25 [5057]~P117(x50572)+E(f326(f241(f922(x50571,x50572)),x50573),f241(x50572))
% 178.51/178.25 [5075]E(x50751,f113(x50752))+~E(f326(f326(f134(x50752),x50753),x50751),x50753)
% 178.51/178.25 [5076]E(x50761,f113(x50762))+~E(f326(f326(f134(x50762),x50761),x50763),x50763)
% 178.51/178.25 [5084]E(x50841,f113(x50842))+~E(f326(f326(f134(x50842),x50843),x50841),f113(x50842))
% 178.51/178.25 [5085]E(x50851,f113(x50852))+~E(f326(f326(f134(x50852),x50851),x50853),f113(x50852))
% 178.51/178.25 [5114]~E(x51142,f2(a914))+E(f326(f326(f80(a914),x51141),x51142),f326(f326(f80(a914),x51143),x51142))
% 178.51/178.25 [5116]~E(x51161,f2(a914))+E(f326(f326(f80(a914),x51161),x51162),f326(f326(f80(a914),x51161),x51163))
% 178.51/178.25 [5174]~P78(x51741)+E(f326(f326(f110(x51741),x51742),x51743),f326(f326(f110(x51741),x51743),x51742))
% 178.51/178.25 [5176]~P101(x51761)+E(f326(f326(f110(x51761),x51762),x51763),f326(f326(f110(x51761),x51763),x51762))
% 178.51/178.25 [5177]~P113(x51771)+E(f326(f326(f80(x51771),x51772),x51773),f326(f326(f80(x51771),x51773),x51772))
% 178.51/178.25 [5178]~P78(x51781)+E(f326(f326(f101(x51781),x51782),x51783),f326(f326(f101(x51781),x51783),x51782))
% 178.51/178.25 [5180]~P102(x51801)+E(f326(f326(f101(x51801),x51802),x51803),f326(f326(f101(x51801),x51803),x51802))
% 178.51/178.25 [5181]~P113(x51811)+E(f326(f326(f79(x51811),x51812),x51813),f326(f326(f79(x51811),x51813),x51812))
% 178.51/178.25 [5183]~P109(x51831)+E(f326(f326(f232(x51831),x51832),x51833),f326(f326(f232(x51831),x51833),x51832))
% 178.51/178.25 [5185]~P109(x51851)+E(f326(f326(f233(x51851),x51852),x51853),f326(f326(f233(x51851),x51853),x51852))
% 178.51/178.25 [5248]E(f45(a914,x52481,x52482),f2(a914))+~E(x52481,f326(f326(f80(a914),x52482),x52483))
% 178.51/178.25 [5249]E(f45(a1,x52491,x52492),f2(a1))+~E(x52491,f326(f326(f80(a1),x52492),x52493))
% 178.51/178.25 [5314]E(x53141,x53142)+~E(f326(f326(f79(a914),x53143),x53141),f326(f326(f79(a914),x53143),x53142))
% 178.51/178.25 [5315]E(x53151,x53152)+~E(f326(f326(f79(a914),x53151),x53153),f326(f326(f79(a914),x53152),x53153))
% 178.51/178.25 [5325]~P96(x53251)+E(f326(f326(f101(x53251),x53252),f326(f78(x53251),x53253)),f326(f326(f3(x53251),x53252),x53253))
% 178.51/178.25 [5326]~P67(x53261)+E(f326(f326(f79(x53261),x53262),f326(f78(x53261),x53263)),f326(f326(f3(x53261),x53262),x53263))
% 178.51/178.25 [5327]~P74(x53271)+E(f326(f326(f79(x53271),x53272),f326(f78(x53271),x53273)),f326(f326(f3(x53271),x53272),x53273))
% 178.51/178.25 [5328]~P115(x53281)+E(f326(f326(f79(x53281),x53282),f326(f78(x53281),x53283)),f326(f326(f3(x53281),x53282),x53283))
% 178.51/178.25 [5329]~P74(x53291)+E(f326(f326(f3(x53291),x53292),f326(f78(x53291),x53293)),f326(f326(f79(x53291),x53292),x53293))
% 178.51/178.25 [5367]~P106(f326(x53673,x53672))+P106(f326(f326(f328(x53671),x53672),x53673))
% 178.51/178.25 [5369]~P70(x53692)+E(f326(f326(f8(x53691,x53692),x53693),f188(f922(x53691,a910))),f2(x53692))
% 178.51/178.25 [5371]~P75(x53712)+E(f326(f326(f11(x53711,x53712),x53713),f188(f922(x53711,a910))),f77(x53712))
% 178.51/178.25 [5424]~E(x54242,f326(f326(f79(a914),x54241),x54243))+P106(f326(f326(f234(a914),x54241),x54242))
% 178.51/178.25 [5427]~E(x54272,f188(f922(x54271,a910)))+E(f326(f326(f60(x54271),x54272),x54273),f188(f922(f922(x54271,a910),a910)))
% 178.51/178.25 [5428]~E(x54282,f188(f922(x54281,a910)))+E(f188(f922(f922(x54281,a910),a910)),f326(f326(f60(x54281),x54282),x54283))
% 178.51/178.25 [5500]~E(f326(f283(x55002,x55003),x55001),f188(f922(x55003,a910)))+E(x55001,f188(f922(f921(x55002,x55003),a910)))
% 178.51/178.25 [5501]~E(f326(f263(x55012,x55013),x55011),f188(f922(x55012,a910)))+E(x55011,f188(f922(f921(x55012,x55013),a910)))
% 178.51/178.25 [5533]E(f326(f283(x55331,x55332),x55333),f188(f922(x55332,a910)))+~E(x55333,f188(f922(f921(x55331,x55332),a910)))
% 178.51/178.25 [5534]E(f326(f263(x55341,x55342),x55343),f188(f922(x55341,a910)))+~E(x55343,f188(f922(f921(x55341,x55342),a910)))
% 178.51/178.25 [5537]E(f273(x55371,x55372,x55373),f326(f326(f3(a99),x55372),x55373))+P106(f326(f326(f235(a99),x55372),x55373))
% 178.51/178.25 [5553]P106(f326(x55531,x55532))+~P106(f326(f326(f328(x55533),x55532),x55531))
% 178.51/178.25 [5591]E(x55911,x55912)+~E(f326(f78(f922(x55913,a910)),x55911),f326(f78(f922(x55913,a910)),x55912))
% 178.51/178.25 [5602]~E(x56021,f188(f922(x56022,a910)))+~P106(f326(f326(f328(x56022),x56023),x56021))
% 178.51/178.25 [5632]~E(x56322,f326(f326(f79(a1),x56321),f326(f100(a1),x56323)))+P106(f326(f326(f234(a1),x56321),x56322))
% 178.51/178.25 [5646]E(f326(f326(f308(x56461),x56462),x56463),x56463)+~P106(f326(f326(f328(x56461),x56462),x56463))
% 178.51/178.25 [5657]E(x56571,f188(f922(x56572,a910)))+~E(f326(f326(f60(x56572),x56571),x56573),f188(f922(f922(x56572,a910),a910)))
% 178.51/178.25 [5658]E(x56581,f188(f922(x56582,a910)))+~E(f188(f922(f922(x56582,a910),a910)),f326(f326(f60(x56582),x56581),x56583))
% 178.51/178.25 [5665]~P111(x56651)+E(f326(f326(f80(x56651),f326(f78(x56651),x56652)),f326(f78(x56651),x56653)),f326(f326(f80(x56651),x56652),x56653))
% 178.51/178.25 [5666]~P63(x56661)+E(f326(f326(f289(x56661),f326(f78(x56661),x56662)),f326(f78(x56661),x56663)),f326(f326(f289(x56661),x56662),x56663))
% 178.51/178.25 [5698]~P106(f326(x56983,x56982))+P106(f326(f326(f328(x56981),x56982),f326(f261(x56981),x56983)))
% 178.51/178.25 [5723]E(x57231,f2(a914))+E(f326(f172(x57232),f169(x57232,x57231,x57233)),f326(f326(f308(x57232),x57233),f188(f922(x57232,a910))))
% 178.51/178.25 [5743]E(f170(x57431,x57432,x57433),x57433)+P106(f326(f326(f328(x57431),x57432),f326(f172(x57431),x57433)))
% 178.51/178.25 [5827]~P106(f326(f137(x58271),x58273))+P106(f326(f137(x58271),f326(f136(x58271,x58272),x58273)))
% 178.51/178.25 [5870]~P60(x58701)+E(f326(f326(f36(x58701),f45(x58701,x58702,x58703)),x58703),f2(x58701))
% 178.51/178.25 [5889]E(f176(x58891,f326(f326(f151(x58891),x58892),f113(x58891)),x58893),f113(x58891))+P106(f326(f326(f328(a914),f2(a914)),x58893))
% 178.51/178.25 [5895]E(x58951,f2(a914))+E(f326(f171(x58952),f169(x58952,x58951,x58953)),f169(x58952,f326(f326(f3(a914),x58951),f77(a914)),x58953))
% 178.51/178.25 [5946]E(f326(f326(f151(x59461),x59462),x59463),f140(x59461,x59462,x59463))+P106(f326(f326(f328(x59461),x59462),f326(f172(x59461),x59463)))
% 178.51/178.25 [5955]E(x59551,x59552)+~E(f326(f326(f80(a914),f326(a112,x59553)),x59551),f326(f326(f80(a914),f326(a112,x59553)),x59552))
% 178.51/178.25 [5956]~E(x59562,f326(f326(f79(a1),x59561),f326(f100(a1),f326(a112,x59563))))+P106(f326(f326(f235(a1),x59561),x59562))
% 178.51/178.25 [6026]~P30(x60261,x60262,x60263)+P31(a914,x60261,f139(a914,f326(f301(a914,x60262),x60263)))
% 178.51/178.25 [6077]~E(x60773,f113(x60771))+E(f326(f326(f326(f183(f915(x60771),f915(x60771)),x60772),f167(x60771)),x60773),f113(x60771))
% 178.51/178.25 [6081]P106(f326(x60811,x60812))+~P106(f326(f326(f328(x60813),x60812),f326(f261(x60813),x60811)))
% 178.51/178.25 [6111]E(x61111,x61112)+~E(f326(f326(f308(x61113),x61111),f188(f922(x61113,a910))),f326(f326(f308(x61113),x61112),f188(f922(x61113,a910))))
% 178.51/178.25 [6126]~P110(x61261)+E(f326(f326(f101(f922(x61261,a910)),f326(f281(x61261),x61262)),f326(f301(x61261,x61262),x61263)),f188(f922(x61261,a910)))
% 178.51/178.25 [6165]E(f140(x61651,x61652,x61653),x61653)+~P106(f326(f326(f328(x61651),x61652),f326(f172(x61651),x61653)))
% 178.51/178.25 [6185]~P80(x61851)+E(f326(f309(x61851,x61851,f78(x61851)),f326(f301(x61851,x61852),x61853)),f304(x61851,f326(f78(x61851),x61853),f326(f78(x61851),x61852)))
% 178.51/178.25 [6196]E(f326(f189(f915(x61961)),f170(x61961,x61962,x61963)),f326(f189(f915(x61961)),x61963))+P106(f326(f326(f328(x61961),x61962),f326(f172(x61961),x61963)))
% 178.51/178.25 [6251]~P110(x62511)+E(f326(f326(f101(f922(x62511,a910)),f326(f301(x62511,x62512),x62513)),f326(f282(x62511),x62513)),f188(f922(x62511,a910)))
% 178.51/178.25 [6271]~P80(x62711)+E(f326(f309(x62711,x62711,f78(x62711)),f302(x62711,x62712,x62713)),f302(x62711,f326(f78(x62711),x62713),f326(f78(x62711),x62712)))
% 178.51/178.25 [6272]~P80(x62721)+E(f326(f309(x62721,x62721,f78(x62721)),f305(x62721,x62722,x62723)),f305(x62721,f326(f78(x62721),x62723),f326(f78(x62721),x62722)))
% 178.51/178.25 [6338]E(f176(x63381,f326(f326(f151(x63381),x63382),f113(x63381)),x63383),f326(f326(f151(x63381),x63382),f113(x63381)))+~P106(f326(f326(f328(a914),f2(a914)),x63383))
% 178.51/178.25 [6343]P30(x63431,x63432,x63433)+~P31(a914,x63431,f139(a914,f326(f301(a914,x63432),x63433)))
% 178.51/178.25 [6346]~P80(x63461)+E(f326(f309(x63461,x63461,f78(x63461)),f304(x63461,x63462,x63463)),f326(f301(x63461,f326(f78(x63461),x63463)),f326(f78(x63461),x63462)))
% 178.51/178.25 [6367]~P61(x63671)+E(f45(x63671,f326(f78(x63671),f45(x63671,x63672,x63673)),x63673),f45(x63671,f326(f78(x63671),x63672),x63673))
% 178.51/178.25 [6464]~P106(f326(f61(f921(x64642,x64641)),x64643))+P106(f326(f61(x64641),f326(f283(x64642,x64641),x64643)))
% 178.51/178.25 [6465]~P106(f326(f61(f921(x64651,x64652)),x64653))+P106(f326(f61(x64651),f326(f263(x64651,x64652),x64653)))
% 178.51/178.25 [6470]~P110(x64701)+E(f326(f326(f101(f922(x64701,a910)),f302(x64701,x64702,x64703)),f326(f303(x64701),x64703)),f188(f922(x64701,a910)))
% 178.51/178.25 [6471]~P110(x64711)+E(f326(f326(f101(f922(x64711,a910)),f305(x64711,x64712,x64713)),f326(f282(x64711),x64713)),f188(f922(x64711,a910)))
% 178.51/178.25 [6472]~P110(x64721)+E(f326(f326(f101(f922(x64721,a910)),f304(x64721,x64722,x64723)),f326(f303(x64721),x64723)),f188(f922(x64721,a910)))
% 178.51/178.25 [6543]E(f326(f326(f164(x65431),x65432),f620(x65432,x65433,x65431)),x65433)+~P106(f326(f326(f328(x65431),x65433),f326(f172(x65431),x65432)))
% 178.51/178.25 [6687]E(x66871,f113(x66872))+~E(f326(f326(f326(f183(f915(x66872),f915(x66872)),x66873),f167(x66872)),x66871),f113(x66872))
% 178.51/178.25 [6791]~P106(f326(f61(f921(x67912,x67911)),x67913))+P106(f326(f61(f921(x67911,x67912)),f326(f285(x67912,x67911),x67913)))
% 178.51/178.25 [6945]P55(x69451,x69452,x69453)+P106(f326(f326(f328(x69451),f618(x69453,x69452,x69451)),x69452))
% 178.51/178.25 [6946]P55(x69461,x69462,x69463)+P106(f326(f326(f328(x69461),f617(x69463,x69462,x69461)),x69462))
% 178.51/178.25 [6956]P106(f326(f314(x69561,x69562),x69563))+P106(f326(f326(x69562,f384(x69563,x69562,x69561)),x69563))
% 178.51/178.25 [6957]P106(f326(f314(x69571,x69572),x69573))+P106(f326(f326(x69572,f390(x69573,x69572,x69571)),x69573))
% 178.51/178.25 [6988]E(f326(f189(f915(x69881)),f170(x69881,x69882,x69883)),f326(f326(f3(a914),f326(f189(f915(x69881)),x69883)),f77(a914)))+~P106(f326(f326(f328(x69881),x69882),f326(f172(x69881),x69883)))
% 178.51/178.25 [7027]P106(f326(f247(x70271,x70272),x70273))+P106(f326(f326(f328(x70271),f573(x70273,x70272,x70271)),x70273))
% 178.51/178.25 [7036]~P106(f326(f61(f921(x70362,x70361)),f326(f285(x70361,x70362),x70363)))+P106(f326(f61(f921(x70361,x70362)),x70363))
% 178.51/178.25 [7091]~P106(f326(f326(f328(x70911),x70912),f326(f172(x70911),f114(x70911,x70913))))+P106(f326(f326(f328(x70911),x70912),f326(f172(x70911),x70913)))
% 178.51/178.25 [7125]E(f326(f136(x71251,x71252),x71253),x71253)+P106(f326(f326(f328(x71251),f676(x71253,x71252,x71251)),f326(f172(x71251),x71253)))
% 178.51/178.25 [7141]E(f326(f136(x71411,x71412),x71413),f113(x71411))+P106(f326(f326(f328(x71411),f675(x71413,x71412,x71411)),f326(f172(x71411),x71413)))
% 178.51/178.25 [7165]P31(x71651,x71652,x71653)+P106(f326(f326(f328(x71651),f758(x71653,x71652,x71651)),f326(f172(x71651),x71653)))
% 178.51/178.25 [7166]P31(x71661,x71662,x71663)+P106(f326(f326(f328(x71661),f765(x71663,x71662,x71661)),f326(f172(x71661),x71663)))
% 178.51/178.25 [7167]P31(x71671,x71672,x71673)+P106(f326(f326(f328(x71671),f764(x71672,x71673,x71671)),f326(f172(x71671),x71673)))
% 178.51/178.25 [7170]E(f177(x71701,x71702,x71703),x71703)+P106(f326(f326(f328(x71701),f717(x71703,x71702,x71701)),f326(f172(x71701),x71703)))
% 178.51/178.25 [7247]P106(f326(f160(x72471,x72472),x72473))+P106(f326(f326(f328(x72471),f677(x72473,x72472,x72471)),f326(f172(x72471),x72473)))
% 178.51/178.25 [7256]~P33(x72561,x72563,x72562)+P106(f326(f326(f328(x72561),f750(x72562,x72563,x72561)),f326(f172(x72561),x72562)))
% 178.51/178.25 [7257]~P35(x72571,x72573,x72572)+P106(f326(f326(f328(x72571),f757(x72572,x72573,x72571)),f326(f172(x72571),x72572)))
% 178.51/178.25 [7258]~P35(x72581,x72583,x72582)+P106(f326(f326(f328(x72581),f767(x72582,x72583,x72581)),f326(f172(x72581),x72582)))
% 178.51/178.25 [7259]~P33(x72591,x72593,x72592)+P106(f326(f326(f328(x72591),f782(x72592,x72593,x72591)),f326(f172(x72591),x72592)))
% 178.51/178.25 [7260]~P33(x72601,x72602,x72603)+P106(f326(f326(f328(x72601),f790(x72602,x72603,x72601)),f326(f172(x72601),x72603)))
% 178.51/178.25 [7294]P106(f326(f326(f328(x72941),x72942),f901(x72943,x72942,x72941)))+~P106(f326(f326(f328(x72941),x72942),f37(f922(x72941,a910),x72943)))
% 178.51/178.25 [7295]~P70(x72951)+E(f326(f326(f79(x72951),f326(f326(f8(a914,x72951),x72952),f326(f281(a914),x72953))),f326(x72952,x72953)),f326(f326(f8(a914,x72951),x72952),f326(f281(a914),f326(a112,x72953))))
% 178.51/178.25 [7307]P30(x73071,x73072,x73073)+P106(f326(f326(f328(a914),f829(x73073,x73072,x73071)),f326(f301(a914,x73072),x73073)))
% 178.51/178.25 [7385]~P33(x73852,x73851,x73853)+P106(f326(x73851,f326(f326(f164(x73852),x73853),f753(x73853,x73851,x73852))))
% 178.51/178.25 [7398]~P106(f326(f326(f328(x73981),x73982),f386(x73982,x73983,x73981)))+P106(f326(f326(f328(x73981),x73982),f38(f922(x73981,a910),x73983)))
% 178.51/178.25 [7431]~P70(x74311)+E(f326(f326(f79(x74311),f326(f326(f8(a914,x74311),x74312),f326(f300(a914),x74313))),f326(x74312,f326(a112,x74313))),f326(f326(f8(a914,x74311),x74312),f326(f300(a914),f326(a112,x74313))))
% 178.51/178.25 [7568]P106(f326(f326(f328(f915(x75681)),x75682),f161(x75681,x75683)))+P106(f326(f326(f328(x75681),f658(x75683,x75682,x75681)),f326(f172(x75681),x75682)))
% 178.51/178.25 [7584]~P106(f326(f326(f328(f915(x75841)),x75842),f161(x75841,f315(x75841,x75843))))+P106(f326(f326(f328(f915(x75841)),x75842),f315(f915(x75841),f157(x75841,x75843))))
% 178.51/178.25 [7609]~P106(f326(f326(f328(f915(x76091)),x76092),f315(f915(x76091),f157(x76091,x76093))))+P106(f326(f326(f328(f915(x76091)),x76092),f161(x76091,f315(x76091,x76093))))
% 178.51/178.25 [7642]E(f326(f326(f326(f183(f915(x76421),f915(x76421)),x76422),f167(x76421)),x76423),x76423)+~P106(f326(f326(f234(a914),f326(f189(f915(x76421)),x76423)),f77(a914)))
% 178.51/178.25 [7675]E(f326(f326(f134(x76751),f760(x76752,x76753,x76751)),f326(f326(f151(x76751),x76753),f761(x76752,x76753,x76751))),x76752)+~P106(f326(f326(f328(x76751),x76753),f326(f172(x76751),x76752)))
% 178.51/178.25 [7676]E(f326(f326(f134(x76761),f755(x76762,x76763,x76761)),f326(f326(f151(x76761),x76763),f756(x76762,x76763,x76761))),x76762)+~P106(f326(f326(f328(x76761),x76763),f326(f172(x76761),x76762)))
% 178.51/178.25 [7677]E(f326(f326(f134(x76771),f762(x76772,x76773,x76771)),f326(f326(f151(x76771),x76773),f763(x76772,x76773,x76771))),x76772)+~P106(f326(f326(f328(x76771),x76773),f326(f172(x76771),x76772)))
% 178.51/178.25 [7699]~P24(x76991,x76992,x76993,f241(f922(x76991,a910)))+P24(f915(x76991),f915(x76992),f326(f154(x76991,x76992),x76993),f241(f922(f915(x76991),a910)))
% 178.51/178.25 [7845]E(x78451,f326(f326(f79(a914),f326(f326(f80(a914),f326(f250(a914,a914),x78452)),x78453)),f326(f255(a914,a914),x78452)))+~P106(f326(f48(x78451,x78453),x78452))
% 178.51/178.25 [7853]P24(x78531,x78532,x78533,f241(f922(x78531,a910)))+~P24(f915(x78531),f915(x78532),f326(f154(x78531,x78532),x78533),f241(f922(f915(x78531),a910)))
% 178.51/178.25 [7896]P106(f326(f326(f328(f922(x78961,a910)),f386(x78962,x78963,x78961)),x78963))+P106(f326(f326(f328(x78961),x78962),f38(f922(x78961,a910),x78963)))
% 178.51/178.25 [7986]P106(f326(f326(f328(f915(x79861)),x79862),f161(x79861,x79863)))+~P106(f326(f326(f328(x79861),f658(x79863,x79862,x79861)),x79863))
% 178.51/178.25 [8085]P31(x80851,x80852,x80853)+~P106(f326(x80852,f326(f326(f164(x80851),x80853),f759(x80853,x80852,x80851))))
% 178.51/178.25 [8109]E(x81091,x81092)+~E(f326(f326(f9(x81093,f922(x81093,a910),a910),f328(x81093)),x81091),f326(f326(f9(x81093,f922(x81093,a910),a910),f328(x81093)),x81092))
% 178.51/178.25 [8117]~P106(f326(f326(f328(f921(x81171,x81171)),x81173),f262(x81171,x81172)))+P106(f326(f326(f328(x81171),f476(x81172,x81173,x81171)),x81172))
% 178.51/178.25 [8119]~P106(f326(f326(f328(x81191),x81193),f37(f922(x81191,a910),x81192)))+P106(f326(f326(f328(f922(x81191,a910)),f901(x81192,x81193,x81191)),x81192))
% 178.51/178.25 [8238]P24(x82381,x82382,f91(x82382,x82381,f241(f922(x82382,a910)),x82383),f241(f922(x82381,a910)))+~E(f326(f309(x82382,x82381,x82383),f241(f922(x82382,a910))),f241(f922(x82381,a910)))
% 178.51/178.25 [8291]~P106(f326(f326(f328(x82911),x82912),f326(f172(x82911),f755(x82913,x82912,x82911))))+~P106(f326(f326(f328(x82911),x82912),f326(f172(x82911),x82913)))
% 178.51/178.25 [8292]~P106(f326(f326(f328(x82921),x82922),f326(f172(x82921),f763(x82923,x82922,x82921))))+~P106(f326(f326(f328(x82921),x82922),f326(f172(x82921),x82923)))
% 178.51/178.25 [8316]P30(f326(f72(a910,a910,a914,a321),x83161),x83162,x83163)+P33(a914,x83161,f139(a914,f326(f301(a914,x83162),x83163)))
% 178.51/178.25 [8476]E(x84761,f113(x84762))+P106(f326(f326(f328(x84762),f326(f250(x84762,f921(a99,a99)),f326(f274(x84762,x84761),x84763))),f326(f172(x84762),x84761)))
% 178.51/178.25 [8574]~P69(x85741)+E(f326(f142(x85741,x85741,f326(f9(x85741,x85741,x85741),f79(x85741)),x85742),f326(f168(x85741),x85743)),f326(f142(x85741,x85741,f79(x85741),x85742),x85743))
% 178.51/178.25 [8764]~P24(x87642,x87641,x87643,f241(f922(x87642,a910)))+E(f326(f309(x87641,x87642,f91(x87642,x87641,f241(f922(x87642,a910)),x87643)),f241(f922(x87641,a910))),f241(f922(x87642,a910)))
% 178.51/178.25 [8834]~P30(f326(f72(a910,a910,a914,a321),x88341),x88342,x88343)+~P33(a914,x88341,f139(a914,f326(f301(a914,x88342),x88343)))
% 178.51/178.25 [9081]~P109(x90811)+E(f326(f172(x90811),f149(x90811,x90811,f7(x90811),x90812,x90813)),f326(f326(f308(x90811),x90812),f326(f172(x90811),x90813)))
% 178.51/178.25 [9090]~E(f326(x90903,f326(f91(x90901,x90902,f241(f922(x90901,a910)),x90903),f809(x90903,x90902,x90901))),f809(x90903,x90902,x90901))+E(f326(f309(x90901,x90902,x90903),f241(f922(x90901,a910))),f241(f922(x90902,a910)))
% 178.51/178.25 [9092]P106(f326(f326(f235(a914),f2(a914)),f625(x90921,x90922,x90923)))+~P106(f326(f326(f328(f921(x90923,x90923)),x90922),f326(f326(f288(x90923,x90923,x90923),x90921),f306(x90923,x90921))))
% 178.51/178.25 [9368]~P57(x93681,x93682)+~P106(f326(f326(f328(f921(x93681,x93681)),f326(f326(f251(x93681,x93681),x93683),x93683)),f326(f326(f288(x93681,x93681,x93681),x93682),f306(x93681,x93682))))
% 178.51/178.25 [9504]~E(f326(f326(f101(f922(f921(x95041,x95041),a910)),f326(f285(x95041,x95041),x95042)),f306(x95041,x95042)),f188(f922(f921(x95041,x95041),a910)))+~P106(f326(f326(f328(f921(x95041,x95041)),f326(f326(f251(x95041,x95041),x95043),x95043)),f326(f326(f288(x95041,x95041,x95041),x95042),f306(x95041,x95042))))
% 178.51/178.25 [9694]~P106(f326(f61(x96941),x96942))+P106(f326(f326(f234(a914),f326(f35(x96941),f326(f326(f3(f922(x96941,a910)),x96942),f326(f326(f308(x96941),x96943),f188(f922(x96941,a910)))))),f326(f35(x96941),x96942)))
% 178.51/178.25 [5236]~E(x52363,f113(x52361))+E(f144(x52361,f326(f326(f151(x52361),x52362),x52363)),x52362)
% 178.51/178.25 [5245]~E(x52453,f113(x52451))+E(f114(x52451,f326(f326(f151(x52451),x52452),x52453)),f113(x52451))
% 178.51/178.25 [5275]E(x52751,f113(x52752))+E(f144(x52752,f326(f326(f151(x52752),x52753),x52751)),f144(x52752,x52751))
% 178.51/178.25 [5277]E(x52771,f113(x52772))+E(f144(x52772,f326(f326(f134(x52772),x52773),x52771)),f144(x52772,x52771))
% 178.51/178.25 [5283]~E(x52833,f113(x52831))+E(f114(x52831,f326(f326(f134(x52831),x52832),x52833)),f114(x52831,x52832))
% 178.51/178.25 [5285]~E(x52853,f113(x52851))+E(f144(x52851,f326(f326(f134(x52851),x52852),x52853)),f144(x52851,x52852))
% 178.51/178.25 [5319]E(x53191,f113(x53192))+E(f326(f141(x53192),f326(f326(f134(x53192),x53191),x53193)),f326(f141(x53192),x53191))
% 178.51/178.25 [5347]~E(x53472,f113(x53471))+E(f326(f141(x53471),f326(f326(f134(x53471),x53472),x53473)),f326(f141(x53471),x53473))
% 178.51/178.25 [5400]~P78(x54001)+E(f326(f326(f110(x54001),x54002),f326(f326(f101(x54001),x54002),x54003)),x54002)
% 178.51/178.25 [5401]~P78(x54011)+E(f326(f326(f101(x54011),x54012),f326(f326(f110(x54011),x54012),x54013)),x54012)
% 178.51/178.25 [5402]~P109(x54021)+E(f326(f326(f232(x54021),x54022),f326(f326(f233(x54021),x54022),x54023)),x54022)
% 178.51/178.25 [5403]~P109(x54031)+E(f326(f326(f233(x54031),x54032),f326(f326(f232(x54031),x54032),x54033)),x54032)
% 178.51/178.25 [5422]~P60(x54221)+E(f45(x54221,f326(f326(f80(x54221),x54222),x54223),x54223),f2(x54221))
% 178.51/178.25 [5423]~P60(x54231)+E(f45(x54231,f326(f326(f80(x54231),x54232),x54233),x54232),f2(x54231))
% 178.51/178.25 [5495]~P67(x54951)+E(f326(f78(x54951),f326(f326(f3(x54951),x54952),x54953)),f326(f326(f3(x54951),x54953),x54952))
% 178.51/178.25 [5557]E(x55571,f113(x55572))+E(f114(x55572,f326(f326(f151(x55572),x55573),x55571)),f326(f326(f151(x55572),x55573),f114(x55572,x55571)))
% 178.51/178.25 [5558]E(x55581,f113(x55582))+E(f114(x55582,f326(f326(f134(x55582),x55583),x55581)),f326(f326(f134(x55582),x55583),f114(x55582,x55581)))
% 178.51/178.25 [5561]~P4(x55611)+E(f37(x55611,f326(f326(f308(x55611),x55612),x55613)),f326(f326(f110(x55611),x55612),f37(x55611,x55613)))
% 178.51/178.25 [5562]~P4(x55621)+E(f38(x55621,f326(f326(f308(x55621),x55622),x55623)),f326(f326(f101(x55621),x55622),f38(x55621,x55623)))
% 178.51/178.25 [5607]~P78(x56071)+E(f326(f326(f110(x56071),x56072),f326(f326(f110(x56071),x56072),x56073)),f326(f326(f110(x56071),x56072),x56073))
% 178.51/178.25 [5609]~P101(x56091)+E(f326(f326(f110(x56091),x56092),f326(f326(f110(x56091),x56092),x56093)),f326(f326(f110(x56091),x56092),x56093))
% 178.51/178.25 [5610]~P97(x56101)+E(f326(f326(f80(x56101),x56102),f326(f326(f80(x56101),x56102),x56103)),f326(f326(f80(x56101),x56102),x56103))
% 178.51/178.25 [5611]~P78(x56111)+E(f326(f326(f101(x56111),x56112),f326(f326(f101(x56111),x56112),x56113)),f326(f326(f101(x56111),x56112),x56113))
% 178.51/178.25 [5613]~P102(x56131)+E(f326(f326(f101(x56131),x56132),f326(f326(f101(x56131),x56132),x56133)),f326(f326(f101(x56131),x56132),x56133))
% 178.51/178.25 [5615]~P109(x56151)+E(f326(f326(f232(x56151),x56152),f326(f326(f232(x56151),x56152),x56153)),f326(f326(f232(x56151),x56152),x56153))
% 178.51/178.25 [5617]~P109(x56171)+E(f326(f326(f233(x56171),x56172),f326(f326(f233(x56171),x56172),x56173)),f326(f326(f233(x56171),x56172),x56173))
% 178.51/178.25 [5624]~P60(x56241)+E(f45(x56241,f326(f326(f79(x56241),x56242),x56243),x56243),f45(x56241,x56242,x56243))
% 178.51/178.25 [5625]~P60(x56251)+E(f45(x56251,f326(f326(f79(x56251),x56252),x56253),x56252),f45(x56251,x56253,x56252))
% 178.51/178.25 [5633]~P111(x56331)+E(f326(f326(f80(x56331),x56332),f326(f78(x56331),x56333)),f326(f78(x56331),f326(f326(f80(x56331),x56332),x56333)))
% 178.51/178.25 [5634]~P63(x56341)+E(f326(f326(f289(x56341),x56342),f326(f78(x56341),x56343)),f326(f78(x56341),f326(f326(f289(x56341),x56342),x56343)))
% 178.51/178.25 [5635]~P83(x56351)+E(f326(f326(f79(x56351),x56352),f326(f165(x56351),x56353)),f326(f165(x56351),f326(f326(f151(x56351),x56352),x56353)))
% 178.51/178.25 [5663]~P111(x56631)+E(f326(f326(f80(x56631),f326(f78(x56631),x56632)),x56633),f326(f326(f80(x56631),x56632),f326(f78(x56631),x56633)))
% 178.51/178.25 [5669]~P7(x56691,x56692,x56693)+E(f37(f922(x56691,a910),f326(f326(f60(x56691),x56692),x56693)),x56692)
% 178.51/178.25 [5735]~P116(x57351)+E(f326(f326(f80(x57351),x57352),f326(f326(f243(x57351),x57352),x57353)),f326(f326(f243(x57351),x57352),f326(a112,x57353)))
% 178.51/178.25 [5736]~P113(x57361)+E(f326(f326(f80(x57361),x57362),f326(f326(f243(x57361),x57362),x57363)),f326(f326(f243(x57361),x57362),f326(a112,x57363)))
% 178.51/178.25 [5746]~P74(x57461)+E(f326(f326(f79(x57461),f326(f78(x57461),x57462)),f326(f326(f79(x57461),x57462),x57463)),x57463)
% 178.51/178.25 [5769]~P144(x57691)+E(f326(f326(f243(x57691),f326(f100(x57691),x57692)),x57693),f326(f100(x57691),f326(f326(f243(a914),x57692),x57693)))
% 178.51/178.25 [5770]~P141(x57701)+E(f326(f326(f243(x57701),f326(f102(x57701),x57702)),x57703),f326(f102(x57701),f326(f326(f243(a1),x57702),x57703)))
% 178.51/178.25 [5776]~P87(x57761)+E(f326(f75(x57761),f326(f326(f3(x57761),x57762),x57763)),f326(f75(x57761),f326(f326(f3(x57761),x57763),x57762)))
% 178.51/178.25 [5778]~P119(x57781)+E(f326(f326(f80(x57781),f81(x57781,x57782)),f81(x57781,x57783)),f81(x57781,f326(f326(f80(x57781),x57782),x57783)))
% 178.51/178.25 [5782]E(x57821,f113(x57822))+E(f326(f326(f134(x57822),f326(f171(x57822),x57821)),x57823),f326(f171(x57822),f326(f326(f134(x57822),x57821),x57823)))
% 178.51/178.25 [5787]~E(x57872,f326(a112,f326(f326(f79(a914),x57871),x57873)))+P106(f326(f326(f235(a914),x57871),x57872))
% 178.51/178.25 [5788]~P119(x57881)+E(f326(f326(f243(x57881),f326(f75(x57881),x57882)),x57883),f326(f75(x57881),f326(f326(f243(x57881),x57882),x57883)))
% 178.51/178.25 [5789]~P111(x57891)+E(f326(f326(f80(x57891),f326(f78(x57891),x57892)),x57893),f326(f78(x57891),f326(f326(f80(x57891),x57892),x57893)))
% 178.51/178.25 [5790]~P122(x57901)+E(f326(f326(f289(x57901),f326(f78(x57901),x57902)),x57903),f326(f78(x57901),f326(f326(f289(x57901),x57902),x57903)))
% 178.51/178.25 [5888]E(f600(x58881,x58882,x58883),f619(x58881,x58882,x58883))+E(f326(f326(f101(f922(x58883,a910)),x58882),x58881),f188(f922(x58883,a910)))
% 178.51/178.25 [5903]~P70(x59032)+E(f326(f326(f8(x59031,x59032),f326(f18(x59032,x59031),f2(x59032))),x59033),f2(x59032))
% 178.51/178.25 [5904]~P75(x59042)+E(f326(f326(f11(x59041,x59042),f326(f18(x59042,x59041),f77(x59042))),x59043),f77(x59042))
% 178.51/178.25 [5906]~P95(x59061)+E(f326(f326(f3(x59061),f326(f103(x59061),x59062)),f326(f103(x59061),x59063)),f326(f103(x59061),f326(f326(f3(a1),x59062),x59063)))
% 178.51/178.25 [5909]~P144(x59091)+E(f326(f326(f80(x59091),f326(f100(x59091),x59092)),f326(f100(x59091),x59093)),f326(f100(x59091),f326(f326(f80(a914),x59092),x59093)))
% 178.51/178.25 [5910]~P144(x59101)+E(f326(f326(f79(x59101),f326(f100(x59101),x59102)),f326(f100(x59101),x59103)),f326(f100(x59101),f326(f326(f79(a914),x59102),x59103)))
% 178.51/178.25 [5911]~P141(x59111)+E(f326(f326(f3(x59111),f326(f102(x59111),x59112)),f326(f102(x59111),x59113)),f326(f102(x59111),f326(f326(f3(a1),x59112),x59113)))
% 178.51/178.25 [5912]~P141(x59121)+E(f326(f326(f80(x59121),f326(f102(x59121),x59122)),f326(f102(x59121),x59123)),f326(f102(x59121),f326(f326(f80(a1),x59122),x59123)))
% 178.51/178.25 [5913]~P141(x59131)+E(f326(f326(f79(x59131),f326(f102(x59131),x59132)),f326(f102(x59131),x59133)),f326(f102(x59131),f326(f326(f79(a1),x59132),x59133)))
% 178.51/178.25 [5914]~P95(x59141)+E(f326(f326(f80(x59141),f326(f103(x59141),x59142)),f326(f103(x59141),x59143)),f326(f103(x59141),f326(f326(f80(a1),x59142),x59143)))
% 178.51/178.25 [5915]~P95(x59151)+E(f326(f326(f79(x59151),f326(f103(x59151),x59152)),f326(f103(x59151),x59153)),f326(f103(x59151),f326(f326(f79(a1),x59152),x59153)))
% 178.51/178.25 [5963]~E(x59633,x59632)+P106(f326(f326(f234(f922(x59631,a910)),x59632),x59633))
% 178.51/178.25 [5969]~E(x59692,x59693)+P106(f326(f326(f234(f922(x59691,a910)),x59692),x59693))
% 178.51/178.25 [5974]~P119(x59741)+E(f326(f326(f80(x59741),f326(f75(x59741),x59742)),f326(f75(x59741),x59743)),f326(f75(x59741),f326(f326(f80(x59741),x59742),x59743)))
% 178.51/178.25 [5975]~P65(x59751)+E(f326(f326(f289(x59751),f326(f75(x59751),x59752)),f326(f75(x59751),x59753)),f326(f75(x59751),f326(f326(f289(x59751),x59752),x59753)))
% 178.51/178.25 [5976]~P96(x59761)+E(f326(f326(f101(x59761),f326(f78(x59761),x59762)),f326(f78(x59761),x59763)),f326(f78(x59761),f326(f326(f110(x59761),x59762),x59763)))
% 178.51/178.25 [5977]~P96(x59771)+E(f326(f326(f110(x59771),f326(f78(x59771),x59772)),f326(f78(x59771),x59773)),f326(f78(x59771),f326(f326(f101(x59771),x59772),x59773)))
% 178.51/178.25 [5978]~P74(x59781)+E(f326(f326(f79(x59781),f326(f78(x59781),x59782)),f326(f78(x59781),x59783)),f326(f78(x59781),f326(f326(f79(x59781),x59783),x59782)))
% 178.51/178.25 [5979]~P67(x59791)+E(f326(f326(f79(x59791),f326(f78(x59791),x59792)),f326(f78(x59791),x59793)),f326(f78(x59791),f326(f326(f79(x59791),x59792),x59793)))
% 178.51/178.25 [5980]~P76(x59801)+E(f326(f326(f233(x59801),f326(f78(x59801),x59802)),f326(f78(x59801),x59803)),f326(f78(x59801),f326(f326(f232(x59801),x59802),x59803)))
% 178.51/178.25 [5981]~P76(x59811)+E(f326(f326(f232(x59811),f326(f78(x59811),x59812)),f326(f78(x59811),x59813)),f326(f78(x59811),f326(f326(f233(x59811),x59812),x59813)))
% 178.51/178.25 [5982]~P83(x59821)+E(f326(f326(f79(x59821),f326(f165(x59821),x59822)),f326(f165(x59821),x59823)),f326(f165(x59821),f326(f326(f134(x59821),x59822),x59823)))
% 178.51/178.25 [5983]E(x59831,f188(f922(x59832,a910)))+~E(f326(f326(f110(f922(x59832,a910)),x59833),x59831),f188(f922(x59832,a910)))
% 178.51/178.25 [5984]E(x59841,f188(f922(x59842,a910)))+~E(f326(f326(f110(f922(x59842,a910)),x59841),x59843),f188(f922(x59842,a910)))
% 178.51/178.25 [5985]~P147(x59851,x59853,x59852)+P106(f326(x59851,f326(f326(f36(a1),x59852),x59853)))
% 178.51/178.25 [6050]~P106(f326(f61(x60501),x60503))+P106(f326(f61(x60501),f326(f326(f308(x60501),x60502),x60503)))
% 178.51/178.25 [6051]~P106(f326(f137(x60511),x60513))+P106(f326(f137(x60511),f326(f326(f175(x60511),x60512),x60513)))
% 178.51/178.25 [6052]~P106(f326(f137(x60521),x60523))+P106(f326(f137(x60521),f326(f326(f138(x60521),x60522),x60523)))
% 178.51/178.25 [6082]~P78(x60821)+P106(f326(f326(f234(x60821),x60822),f326(f326(f110(x60821),x60823),x60822)))
% 178.51/178.25 [6083]~P101(x60831)+P106(f326(f326(f234(x60831),x60832),f326(f326(f110(x60831),x60833),x60832)))
% 178.51/178.25 [6084]~P78(x60841)+P106(f326(f326(f234(x60841),x60842),f326(f326(f110(x60841),x60842),x60843)))
% 178.51/178.25 [6085]~P101(x60851)+P106(f326(f326(f234(x60851),x60852),f326(f326(f110(x60851),x60852),x60853)))
% 178.51/178.25 [6086]~P109(x60861)+P106(f326(f326(f234(x60861),x60862),f326(f326(f233(x60861),x60863),x60862)))
% 178.51/178.25 [6087]~P109(x60871)+P106(f326(f326(f234(x60871),x60872),f326(f326(f233(x60871),x60872),x60873)))
% 178.51/178.25 [6101]~E(x61011,f2(a914))+E(f326(f326(f36(a914),f326(f326(f80(a914),x61011),x61012)),f326(f326(f80(a914),x61011),x61013)),f2(a914))
% 178.51/178.25 [6180]~P95(x61801)+E(f326(f326(f3(x61801),f326(f103(x61801),x61802)),f326(f103(x61801),x61803)),f326(f103(x61801),f326(f326(f79(a1),x61802),f326(f78(a1),x61803))))
% 178.51/178.25 [6238]E(x62381,f2(a914))+E(f326(f326(f36(a914),f326(f326(f80(a914),x62381),x62382)),f326(f326(f80(a914),x62381),x62383)),f326(f326(f36(a914),x62382),x62383))
% 178.51/178.25 [6269]E(f152(x62691,f326(f326(f151(x62691),x62692),x62693)),f326(f326(f151(x62691),x62692),f152(x62691,x62693)))+P106(f326(f326(f328(x62691),x62692),f326(f172(x62691),x62693)))
% 178.51/178.25 [6306]P147(x63061,x63062,x63063)+~P106(f326(x63061,f326(f326(f36(a1),x63063),x63062)))
% 178.51/178.25 [6380]E(x63801,f113(x63802))+E(f326(f326(f151(x63802),f326(f141(x63802),x63801)),f326(f326(f175(x63802),x63803),f326(f171(x63802),x63801))),f326(f326(f175(x63802),f326(a112,x63803)),x63801))
% 178.51/178.25 [6388]E(f326(f326(f3(f922(x63881,a910)),x63882),x63883),x63882)+~E(f326(f326(f101(f922(x63881,a910)),x63882),x63883),f188(f922(x63881,a910)))
% 178.51/178.25 [6402]E(f152(x64021,f326(f326(f151(x64021),x64022),x64023)),f152(x64021,x64023))+~P106(f326(f326(f328(x64021),x64022),f326(f172(x64021),x64023)))
% 178.51/178.25 [6432]~P106(f326(f326(f234(a914),x64321),x64323))+P106(f326(f326(f234(a914),x64321),f326(f326(f79(a914),x64322),x64323)))
% 178.51/178.25 [6434]~P106(f326(f326(f234(a914),x64341),x64342))+P106(f326(f326(f234(a914),x64341),f326(f326(f79(a914),x64342),x64343)))
% 178.51/178.25 [6436]~P106(f326(f326(f235(a914),x64361),x64363))+P106(f326(f326(f235(a914),x64361),f326(f326(f79(a914),x64362),x64363)))
% 178.51/178.25 [6438]~P106(f326(f326(f235(a914),x64381),x64382))+P106(f326(f326(f235(a914),x64381),f326(f326(f79(a914),x64382),x64383)))
% 178.51/178.25 [6478]P106(f326(f61(x64781),x64782))+~P106(f326(f61(x64781),f326(f326(f308(x64781),x64783),x64782)))
% 178.51/178.25 [6479]P106(f326(f137(x64791),x64792))+~P106(f326(f137(x64791),f326(f326(f151(x64791),x64793),x64792)))
% 178.51/178.25 [6480]P106(f326(f137(x64801),x64802))+~P106(f326(f137(x64801),f326(f326(f134(x64801),x64803),x64802)))
% 178.51/178.25 [6481]P106(f326(f137(x64811),x64812))+~P106(f326(f137(x64811),f326(f326(f134(x64811),x64812),x64813)))
% 178.51/178.25 [6533]~P113(x65331)+E(f326(f326(f79(x65331),x65332),f326(f326(f80(x65331),x65333),x65332)),f326(f326(f80(x65331),f326(f326(f79(x65331),x65333),f77(x65331))),x65332))
% 178.51/178.25 [6580]~E(x65801,x65802)+~P106(f326(f326(f235(f922(x65803,a910)),x65801),x65802))
% 178.51/178.25 [6625]P106(f326(f326(f328(x66251),x66252),x66253))+P106(f326(f326(f328(x66251),x66252),f326(f78(f922(x66251,a910)),x66253)))
% 178.51/178.25 [6631]E(f144(x66311,f326(f326(f138(x66311),x66312),x66313)),f144(x66311,x66313))+~P106(f326(f326(f235(a914),x66312),f326(f189(f915(x66311)),x66313)))
% 178.51/178.25 [6632]E(f326(f326(f175(x66321),x66322),f114(x66321,x66323)),f326(f326(f175(x66321),x66322),x66323))+~P106(f326(f326(f235(a914),x66322),f326(f189(f915(x66321)),x66323)))
% 178.51/178.25 [6689]E(f326(f326(f326(f183(f915(x66891),f915(x66891)),x66892),f167(x66891)),x66893),x66893)+~E(f45(a914,x66892,f326(f189(f915(x66891)),x66893)),f2(a914))
% 178.51/178.25 [6696]~P7(x66961,x66963,x66962)+E(f326(f326(f288(x66961,x66961,x66961),f326(f285(x66961,x66961),x66962)),x66962),x66962)
% 178.51/178.25 [6738]~E(f326(f326(f110(f922(x67381,a910)),x67382),x67383),x67383)+P106(f326(f326(f234(f922(x67381,a910)),x67382),x67383))
% 178.51/178.25 [6743]~P54(x67431,x67431,x67433)+P54(x67431,x67431,f326(f326(f183(f921(x67431,x67431),a910),x67432),x67433))
% 178.51/178.25 [6746]~P106(f326(f326(f328(x67461),x67463),f326(f172(x67461),x67462)))+P106(f326(f326(f235(a914),f2(a914)),f326(f189(f915(x67461)),x67462)))
% 178.51/178.25 [6773]~P87(x67731)+E(f326(f75(x67731),f326(f326(f79(x67731),f326(f75(x67731),x67732)),f326(f75(x67731),x67733))),f326(f326(f79(x67731),f326(f75(x67731),x67732)),f326(f75(x67731),x67733)))
% 178.51/178.25 [6784]E(f326(f326(f36(a914),f326(f326(f80(a914),x67841),x67842)),f326(f326(f80(a914),x67841),x67843)),f326(f326(f36(a914),x67842),x67843))+~P106(f326(f326(f235(a914),f2(a914)),x67841))
% 178.51/178.25 [6923]~P106(f326(f61(x69231),x69233))+E(f326(f326(f64(x69231,f922(x69231,a910),f308(x69231)),x69232),x69233),f326(f326(f110(f922(x69231,a910)),x69233),x69232))
% 178.51/178.25 [6981]E(f326(f326(f110(f922(x69811,a910)),x69812),x69813),x69812)+~P106(f326(f326(f234(f922(x69811,a910)),x69813),x69812))
% 178.51/178.25 [6983]E(f326(f326(f110(f922(x69831,a910)),x69832),x69833),x69833)+~P106(f326(f326(f234(f922(x69831,a910)),x69832),x69833))
% 178.51/178.25 [6984]E(f326(f326(f101(f922(x69841,a910)),x69842),x69843),x69843)+~P106(f326(f326(f234(f922(x69841,a910)),x69843),x69842))
% 178.51/178.25 [6985]E(f326(f326(f101(f922(x69851,a910)),x69852),x69853),x69852)+~P106(f326(f326(f234(f922(x69851,a910)),x69852),x69853))
% 178.51/178.25 [7034]~P106(f326(f137(x70341),x70342))+E(f326(f326(f3(f922(x70341,a910)),f326(f172(x70341),x70342)),f326(f326(f308(x70341),x70343),f188(f922(x70341,a910)))),f326(f172(x70341),f170(x70341,x70343,x70342)))
% 178.51/178.25 [7086]P37(x70861,x70862)+~P37(x70861,f326(f326(f183(f921(x70861,x70861),a910),x70863),x70862))
% 178.51/178.25 [7153]P106(f326(f49(x71531,x71532),f326(a51,x71533)))+~P106(f326(f49(f326(f78(a1),x71531),f326(f78(a1),x71532)),x71533))
% 178.51/178.25 [7158]E(f326(f326(f3(f922(x71581,a910)),f326(f326(f308(x71581),x71582),x71583)),f326(f326(f308(x71581),x71582),f188(f922(x71581,a910)))),x71583)+P106(f326(f326(f328(x71581),x71582),x71583))
% 178.51/178.25 [7179]E(f326(f326(f101(f922(x71791,a910)),f326(f172(x71791),x71792)),f326(f172(x71791),x71793)),f188(f922(x71791,a910)))+~P106(f326(f137(x71791),f326(f326(f134(x71791),x71792),x71793)))
% 178.51/178.25 [7194]~P106(f326(f326(f328(x71941),x71942),f326(f172(x71941),x71943)))+~P106(f326(f137(x71941),f326(f326(f151(x71941),x71942),x71943)))
% 178.51/178.25 [7266]P31(x72661,x72662,x72663)+P106(f326(f326(f235(a914),f759(x72663,x72662,x72661)),f326(f189(f915(x72661)),x72663)))
% 178.51/178.25 [7276]E(f326(f326(f101(f922(x72761,a910)),x72762),x72763),f188(f922(x72761,a910)))+P106(f326(f326(f328(x72761),f600(x72763,x72762,x72761)),x72762))
% 178.51/178.25 [7277]E(f326(f326(f101(f922(x72771,a910)),x72772),x72773),f188(f922(x72771,a910)))+P106(f326(f326(f328(x72771),f619(x72773,x72772,x72771)),x72773))
% 178.51/178.25 [7280]E(f114(x72801,f326(f326(f175(x72801),x72802),x72803)),f326(f326(f175(x72801),f326(f326(f3(a914),x72802),f77(a914))),x72803))+~P106(f326(f326(f234(a914),x72802),f326(f189(f915(x72801)),x72803)))
% 178.51/178.25 [7340]~P33(x73403,x73402,x73401)+P106(f326(f326(f235(a914),f753(x73401,x73402,x73403)),f326(f189(f915(x73403)),x73401)))
% 178.51/178.25 [7358]P106(f326(f326(f235(a914),f2(a914)),x73581))+P106(f326(f326(f234(a914),f326(f326(f80(a914),x73582),x73581)),f326(f326(f80(a914),x73583),x73581)))
% 178.51/178.25 [7359]P106(f326(f326(f235(a914),f2(a914)),x73591))+P106(f326(f326(f234(a914),f326(f326(f80(a914),x73591),x73592)),f326(f326(f80(a914),x73591),x73593)))
% 178.51/178.25 [7362]~P106(f326(f326(f328(x73621),x73622),x73623))+~P106(f326(f326(f328(x73621),x73622),f326(f78(f922(x73621,a910)),x73623)))
% 178.51/178.25 [7368]~P106(f326(f326(f235(f922(x73681,a910)),x73682),x73683))+P106(f326(f326(f234(f922(x73681,a910)),x73682),x73683))
% 178.51/178.25 [7476]~P106(f326(f326(f234(a914),x74763),x74762))+P106(f326(f326(f234(a914),f326(f326(f3(a914),x74761),x74762)),f326(f326(f3(a914),x74761),x74763)))
% 178.51/178.25 [7477]~P106(f326(f326(f234(a914),x74771),x74773))+P106(f326(f326(f234(a914),f326(f326(f3(a914),x74771),x74772)),f326(f326(f3(a914),x74773),x74772)))
% 178.51/178.25 [7479]~P106(f326(f326(f234(a914),x74792),x74793))+P106(f326(f326(f234(a914),f326(f326(f80(a914),x74791),x74792)),f326(f326(f80(a914),x74791),x74793)))
% 178.51/178.25 [7481]~P106(f326(f326(f234(a914),x74811),x74813))+P106(f326(f326(f234(a914),f326(f326(f80(a914),x74811),x74812)),f326(f326(f80(a914),x74813),x74812)))
% 178.51/178.25 [7482]~P106(f326(f326(f234(a914),x74822),x74823))+P106(f326(f326(f234(a914),f326(f326(f79(a914),x74821),x74822)),f326(f326(f79(a914),x74821),x74823)))
% 178.51/178.25 [7483]~P106(f326(f326(f234(a914),x74831),x74833))+P106(f326(f326(f234(a914),f326(f326(f79(a914),x74831),x74832)),f326(f326(f79(a914),x74833),x74832)))
% 178.51/178.25 [7484]~P106(f326(f326(f234(a914),x74841),x74843))+P106(f326(f326(f234(a914),f326(f326(f36(a914),x74841),x74842)),f326(f326(f36(a914),x74843),x74842)))
% 178.51/178.25 [7485]~P106(f326(f326(f234(a1),x74852),x74853))+P106(f326(f326(f234(a1),f326(f326(f79(a1),x74851),x74852)),f326(f326(f79(a1),x74851),x74853)))
% 178.51/178.25 [7488]~P106(f326(f326(f235(a914),x74882),x74883))+P106(f326(f326(f235(a914),f326(f326(f79(a914),x74881),x74882)),f326(f326(f79(a914),x74881),x74883)))
% 178.51/178.25 [7489]~P106(f326(f326(f235(a914),x74891),x74893))+P106(f326(f326(f235(a914),f326(f326(f79(a914),x74891),x74892)),f326(f326(f79(a914),x74893),x74892)))
% 178.51/178.25 [7490]~P106(f326(f326(f235(a1),x74901),x74903))+P106(f326(f326(f235(a1),f326(f326(f79(a1),x74901),x74902)),f326(f326(f79(a1),x74903),x74902)))
% 178.51/178.25 [7567]E(x75671,x75672)+~P106(f326(f326(f328(x75673),x75671),f326(f326(f308(x75673),x75672),f188(f922(x75673,a910)))))
% 178.51/178.25 [7569]~E(f326(f326(f101(f922(x75691,a910)),x75692),x75693),f188(f922(x75691,a910)))+P106(f326(f326(f234(f922(x75691,a910)),x75692),f326(f78(f922(x75691,a910)),x75693)))
% 178.51/178.25 [7574]P106(f326(f326(f328(f922(x75741,a910)),x75742),f326(f307(x75741),x75743)))+~P106(f326(f326(f234(f922(x75741,a910)),x75742),x75743))
% 178.51/178.25 [7626]E(f326(f326(f151(x76261),f326(f326(f164(x76261),x76262),x76263)),f326(f326(f138(x76261),f326(a112,x76263)),x76262)),f326(f326(f138(x76261),x76263),x76262))+~P106(f326(f326(f235(a914),x76263),f326(f189(f915(x76261)),x76262)))
% 178.51/178.25 [7652]P106(f326(f326(f328(f921(x76521,x76521)),x76522),f306(x76521,x76523)))+~P106(f326(f326(f328(f921(x76521,x76521)),x76522),x76523))
% 178.51/178.25 [7661]~P106(f326(f326(f328(f922(x76611,a910)),x76612),f326(f307(x76611),x76613)))+P106(f326(f326(f234(f922(x76611,a910)),x76612),x76613))
% 178.51/178.25 [7705]P106(f326(f326(f234(f922(x77051,a910)),x77052),f37(f922(x77051,a910),x77053)))+~P106(f326(f326(f328(f922(x77051,a910)),x77052),x77053))
% 178.51/178.25 [7727]~P141(x77271)+E(f326(f326(f80(x77271),f326(f326(f243(x77271),f326(f78(x77271),f77(x77271))),x77272)),f326(f326(f243(x77271),x77273),x77272)),f326(f326(f243(x77271),f326(f78(x77271),x77273)),x77272))
% 178.51/178.25 [7749]E(f326(f326(f164(x77491),x77492),f326(f326(f3(a914),f326(f189(f915(x77491)),x77492)),f326(a112,x77493))),f326(f326(f164(x77491),f326(f168(x77491),x77492)),x77493))+~P106(f326(f326(f235(a914),x77493),f326(f189(f915(x77491)),x77492)))
% 178.51/178.25 [7766]~E(f326(f326(f101(f922(x77661,a910)),f740(x77663,x77662,x77661)),x77663),f188(f922(x77661,a910)))+E(f326(f326(f101(f922(x77661,a910)),f37(f922(x77661,a910),x77662)),x77663),f188(f922(x77661,a910)))
% 178.51/178.25 [7828]~P106(f326(f326(f328(x78283),x78282),f326(f172(x78283),x78281)))+P106(f326(f326(f235(a914),f620(x78281,x78282,x78283)),f326(f189(f915(x78283)),x78281)))
% 178.51/178.25 [7836]P106(f326(f326(f328(x78361),f326(f326(f164(x78361),x78362),x78363)),f326(f172(x78361),x78362)))+~P106(f326(f326(f235(a914),x78363),f326(f189(f915(x78361)),x78362)))
% 178.51/178.25 [7932]~P106(f326(x79322,f718(x79323,x79322,x79321)))+E(f326(f326(f138(x79321),f326(f189(f915(x79321)),f177(x79321,x79322,x79323))),x79323),f113(x79321))
% 178.51/178.25 [7945]P106(f326(f326(f234(f922(f915(x79451),a910)),f161(x79451,x79452)),f161(x79451,x79453)))+~P106(f326(f326(f234(f922(x79451,a910)),x79452),x79453))
% 178.51/178.25 [7946]P106(f326(f326(f234(f922(f915(x79461),a910)),f160(x79461,x79462)),f160(x79461,x79463)))+~P106(f326(f326(f234(f922(x79461,a910)),x79462),x79463))
% 178.51/178.25 [7972]E(f326(f326(f101(f922(x79721,a910)),f37(f922(x79721,a910),x79722)),x79723),f188(f922(x79721,a910)))+P106(f326(f326(f328(f922(x79721,a910)),f740(x79723,x79722,x79721)),x79722))
% 178.51/178.25 [7974]~P106(f326(f326(f328(f922(x79741,a910)),x79743),x79742))+P106(f326(f326(f234(f922(x79741,a910)),f38(f922(x79741,a910),x79742)),x79743))
% 178.51/178.25 [7976]E(f326(f326(f101(f922(x79761,a910)),x79762),x79763),f188(f922(x79761,a910)))+~P106(f326(f326(f234(f922(x79761,a910)),x79762),f326(f78(f922(x79761,a910)),x79763)))
% 178.51/178.25 [8023]E(f326(f326(f3(a914),f326(f326(f79(a914),f326(f165(a914),x80231)),x80232)),f326(f326(f164(a914),x80231),x80233)),f326(f165(a914),f326(f326(f159(a914,x80231),x80233),x80232)))+~P106(f326(f326(f235(a914),x80233),f326(f189(f915(a914)),x80231)))
% 178.51/178.25 [8074]P106(f326(f326(f234(a914),x80741),x80742))+~P106(f326(f326(f234(a914),f326(f326(f79(a914),x80743),x80741)),f326(f326(f79(a914),x80743),x80742)))
% 178.51/178.25 [8077]P106(f326(f326(f235(a914),x80771),x80772))+~P106(f326(f326(f235(a914),f326(f326(f79(a914),x80773),x80771)),f326(f326(f79(a914),x80773),x80772)))
% 178.51/178.25 [8078]P106(f326(f326(f235(a914),x80781),x80782))+~P106(f326(f326(f235(a914),f326(f326(f80(a914),x80783),x80781)),f326(f326(f80(a914),x80783),x80782)))
% 178.51/178.25 [8079]P106(f326(f326(f235(a914),x80791),x80792))+~P106(f326(f326(f235(a914),f326(f326(f80(a914),x80791),x80793)),f326(f326(f80(a914),x80792),x80793)))
% 178.51/178.25 [8107]P106(f326(f326(f235(a914),f2(a914)),x81071))+~P106(f326(f326(f235(a914),f326(f326(f80(a914),x81072),x81071)),f326(f326(f80(a914),x81073),x81071)))
% 178.51/178.25 [8108]P106(f326(f326(f235(a914),f2(a914)),x81081))+~P106(f326(f326(f235(a914),f326(f326(f80(a914),x81081),x81082)),f326(f326(f80(a914),x81081),x81083)))
% 178.51/178.25 [8181]E(f246(x81811,x81812,x81813),x81812)+~P106(f326(f326(f234(f922(x81811,a910)),x81813),f326(f326(f308(x81811),x81812),f188(f922(x81811,a910)))))
% 178.51/178.25 [8231]~P106(f326(f137(x82311),x82313))+E(f326(f136(x82311,f326(f326(f10(a910,a910,x82311),a321),f326(a323,x82312))),x82313),f170(x82311,x82312,x82313))
% 178.51/178.25 [8256]E(f326(f326(f138(x82561),f326(f189(f915(x82561)),f177(x82561,x82562,x82563))),x82563),f113(x82561))+P106(f326(f326(f328(x82561),f718(x82563,x82562,x82561)),f326(f172(x82561),x82563)))
% 178.51/178.25 [8260]E(f326(f326(f134(x82601),f326(f326(f175(x82601),x82602),x82603)),f326(f326(f151(x82601),f326(f326(f164(x82601),x82603),x82602)),f113(x82601))),f326(f326(f175(x82601),f326(a112,x82602)),x82603))+~P106(f326(f326(f235(a914),x82602),f326(f189(f915(x82601)),x82603)))
% 178.51/178.25 [8321]E(f326(f136(x83211,f326(f326(f10(a910,a910,x83211),a321),f326(a323,x83212))),x83213),x83213)+P106(f326(f326(f328(x83211),x83212),f326(f172(x83211),x83213)))
% 178.51/178.25 [8327]P106(f326(f326(f234(f922(f922(x83271,a910),a910)),f247(x83271,x83272)),f247(x83271,x83273)))+~P106(f326(f326(f234(f922(x83271,a910)),x83272),x83273))
% 178.51/178.25 [8366]~P106(f326(f137(x83661),x83663))+P106(f326(f137(x83661),f326(f326(f326(f183(f915(x83661),f915(x83661)),x83662),f167(x83661)),x83663)))
% 178.51/178.25 [8372]~P106(f326(f326(f235(a914),x83722),x83723))+P106(f326(f326(f235(a914),f326(f326(f80(a914),f326(a112,x83721)),x83722)),f326(f326(f80(a914),f326(a112,x83721)),x83723)))
% 178.51/178.25 [8392]P106(f326(f326(f234(f922(f922(x83921,a910),a910)),f326(f307(x83921),x83922)),f326(f307(x83921),x83923)))+~P106(f326(f326(f234(f922(x83921,a910)),x83922),x83923))
% 178.51/178.25 [8461]~E(f326(f309(x84611,x84612,x84613),f241(f922(x84611,a910))),f241(f922(x84612,a910)))+E(f326(f72(x84611,x84612,x84612,x84613),f91(x84611,x84612,f241(f922(x84611,a910)),x84613)),f31(x84612))
% 178.51/178.25 [8555]~P106(f326(f326(f234(f922(x85551,a910)),x85553),x85552))+P106(f326(f326(f234(f922(x85551,a910)),f326(f78(f922(x85551,a910)),x85552)),f326(f78(f922(x85551,a910)),x85553)))
% 178.51/178.25 [8587]E(f326(f309(a914,a914,f326(f326(f9(a914,a914,a914),f3(a914)),x85871)),f326(f301(a914,x85872),x85873)),f326(f301(a914,f326(f326(f3(a914),x85872),x85871)),f326(f326(f3(a914),x85873),x85871)))+~P106(f326(f326(f235(a914),x85871),x85873))
% 178.51/178.25 [8613]~P83(x86131)+E(f326(f326(f79(x86131),x86132),f326(f142(x86131,x86131,f79(x86131),f2(x86131)),x86133)),f326(f142(x86131,x86131,f79(x86131),x86132),x86133))
% 178.51/178.25 [8688]~P87(x86881)+P106(f326(f326(f234(x86881),f326(f75(x86881),f326(f326(f3(x86881),x86882),x86883))),f326(f326(f79(x86881),f326(f75(x86881),x86882)),f326(f75(x86881),x86883))))
% 178.51/178.25 [8689]~P87(x86891)+P106(f326(f326(f234(x86891),f326(f75(x86891),f326(f326(f79(x86891),x86892),x86893))),f326(f326(f79(x86891),f326(f75(x86891),x86892)),f326(f75(x86891),x86893))))
% 178.51/178.25 [8700]E(f326(f326(f79(a1),f326(f326(f80(a1),x87001),f45(a1,f326(f326(f36(a1),x87002),x87001),x87003))),f45(a1,x87002,x87001)),f45(a1,x87002,f326(f326(f80(a1),x87001),x87003)))+~P106(f326(f326(f235(a1),f2(a1)),x87003))
% 178.51/178.25 [8706]E(f326(f326(f134(x87061),f326(f326(f175(x87061),x87062),x87063)),f326(f326(f151(x87061),f326(f141(x87061),f326(f326(f138(x87061),x87062),x87063))),f113(x87061))),f326(f326(f175(x87061),f326(a112,x87062)),x87063))+~P106(f326(f326(f235(a914),x87062),f326(f189(f915(x87061)),x87063)))
% 178.51/178.25 [8726]E(f326(f267(x87261,f326(f326(f154(x87261,f921(a99,x87261)),f326(f251(a99,x87261),f77(a99))),x87262)),f326(a5,x87263)),f326(f326(f164(x87261),x87262),x87263))+~P106(f326(f326(f235(a914),x87263),f326(f189(f915(x87261)),x87262)))
% 178.51/178.25 [8794]P106(f326(f326(f328(f921(x87941,x87941)),x87942),f326(f326(f288(x87941,x87941,x87941),x87943),f306(x87941,x87943))))+~P106(f326(f326(f328(f921(x87941,x87941)),x87942),x87943))
% 178.51/178.25 [8805]E(f326(f309(x88051,x88052,x88053),f241(f922(x88051,a910))),f241(f922(x88052,a910)))+~E(f326(f72(x88051,x88052,x88052,x88053),f91(x88051,x88052,f241(f922(x88051,a910)),x88053)),f31(x88052))
% 178.51/178.25 [8814]P106(f326(f326(f234(a914),x88141),x88142))+~P106(f326(f326(f234(a914),f326(f326(f80(a914),f326(a112,x88143)),x88141)),f326(f326(f80(a914),f326(a112,x88143)),x88142)))
% 178.51/178.25 [8830]P106(f326(f326(f234(f922(x88301,a910)),x88302),x88303))+~P106(f326(f326(f234(f922(x88301,a910)),f326(f78(f922(x88301,a910)),x88303)),f326(f78(f922(x88301,a910)),x88302)))
% 178.51/178.25 [8853]P106(f326(f137(x88531),x88532))+~P106(f326(f137(x88531),f326(f326(f326(f183(f915(x88531),f915(x88531)),x88533),f167(x88531)),x88532)))
% 178.51/178.25 [8926]E(f326(f284(x89261,x89261,f306(x89261,x89262)),x89263),x89263)+~P106(f326(f326(f234(f922(x89261,a910)),f326(f284(x89261,x89261,x89262),x89263)),x89263))
% 178.51/178.25 [8974]~P109(x89741)+P12(x89741,f326(f136(x89741,f326(f326(f9(x89741,x89741,a910),a323),f326(x89742,x89743))),x89743))
% 178.51/178.25 [8981]~P106(f326(f326(f234(a914),x89811),x89812))+P106(f326(f326(f234(a914),x89811),f326(f142(a914,a914,f79(a914),x89812),x89813)))
% 178.51/178.25 [9067]~P106(f326(f326(f328(f921(x90671,x90671)),x90672),f306(x90671,x90673)))+P106(f326(f326(f328(f921(x90671,x90671)),x90672),f326(f326(f183(f921(x90671,x90671),a910),f623(x90673,x90672,x90671)),x90673)))
% 178.51/178.25 [9148]~P83(x91481)+E(f326(f326(f79(x91481),x91482),f326(f142(x91481,x91481,f326(f9(x91481,x91481,x91481),f79(x91481)),f2(x91481)),f326(f168(x91481),x91483))),f326(f142(x91481,x91481,f79(x91481),x91482),x91483))
% 178.51/178.25 [9265]~P25(x92652,x92651,x92653,f241(f922(x92652,a910)),f241(f922(x92651,a910)))+E(f91(x92651,x92652,f241(f922(x92651,a910)),f91(x92652,x92651,f241(f922(x92652,a910)),x92653)),x92653)
% 178.51/178.25 [9418]P54(x94181,x94182,x94183)+P106(f326(f326(f328(f921(x94181,x94182)),f326(f326(f251(x94181,x94182),f615(x94183,x94182,x94181)),f597(x94183,x94182,x94181))),x94183))
% 178.51/178.25 [9419]P54(x94191,x94192,x94193)+P106(f326(f326(f328(f921(x94191,x94192)),f326(f326(f251(x94191,x94192),f615(x94193,x94192,x94191)),f596(x94193,x94192,x94191))),x94193))
% 178.51/178.25 [9489]~P106(f326(f326(f328(f921(x94891,x94891)),x94892),f326(f326(f288(x94891,x94891,x94891),x94893),f306(x94891,x94893))))+P106(f326(f326(f328(f921(x94891,x94891)),x94892),f326(f326(f183(f921(x94891,x94891),a910),f625(x94893,x94892,x94891)),x94893)))
% 178.51/178.25 [9490]~P106(f326(x94901,f326(f326(f164(x94902),x94903),f326(f189(f915(x94902)),f177(x94902,x94901,x94903)))))+~P106(f326(f326(f235(a914),f326(f189(f915(x94902)),f177(x94902,x94901,x94903))),f326(f189(f915(x94902)),x94903)))
% 178.51/178.25 [9579]~P106(f326(f326(f234(f922(x95791,a910)),x95792),x95793))+P106(f326(f326(f234(f922(x95791,a910)),f326(f326(f9(x95791,f922(x95791,a910),a910),f328(x95791)),x95792)),f326(f326(f9(x95791,f922(x95791,a910),a910),f328(x95791)),x95793)))
% 178.51/178.25 [9641]~P106(f326(f326(f328(f921(f922(x96411,a910),f922(x96411,a910))),f326(f326(f251(f922(x96411,a910),f922(x96411,a910)),x96412),x96413)),f313(x96411)))+P106(f326(f326(f235(f922(x96411,a910)),x96412),x96413))
% 178.51/178.25 [9669]P55(x96691,x96692,x96693)+~P106(f326(f326(f328(f921(x96691,x96691)),f326(f326(f251(x96691,x96691),f618(x96693,x96692,x96691)),f617(x96693,x96692,x96691))),x96693))
% 178.51/178.25 [9670]P55(x96701,x96702,x96703)+~P106(f326(f326(f328(f921(x96701,x96701)),f326(f326(f251(x96701,x96701),f617(x96703,x96702,x96701)),f618(x96703,x96702,x96701))),x96703))
% 178.51/178.25 [9708]~P106(f326(f326(f328(f921(f915(x97081),f915(x97081))),f326(f326(f251(f915(x97081),f915(x97081)),x97082),x97082)),f147(x97081,x97083)))+P106(f326(f326(f328(f921(x97081,x97081)),f326(f326(f251(x97081,x97081),f647(x97082,x97083,x97081)),f647(x97082,x97083,x97081))),x97083))
% 178.51/178.25 [9758]P106(f326(f326(f234(f922(x97581,a910)),x97582),x97583))+~P106(f326(f326(f234(f922(x97581,a910)),f326(f326(f9(x97581,f922(x97581,a910),a910),f328(x97581)),x97582)),f326(f326(f9(x97581,f922(x97581,a910),a910),f328(x97581)),x97583)))
% 178.51/178.25 [9839]E(f326(f326(f3(a914),f326(f326(f8(a914,a914),x98391),f326(f281(a914),x98392))),f326(f326(f8(a914,a914),x98393),f326(f281(a914),x98392))),f326(f326(f8(a914,a914),f326(f326(f20(a914,a914,a914),f326(f326(f10(a914,f922(a914,a914),a914),f3(a914)),x98391)),x98393)),f326(f281(a914),x98392)))+~P106(f326(f326(f234(a914),f326(x98393,f409(x98392,x98391,x98393))),f326(x98391,f409(x98392,x98391,x98393))))
% 178.51/178.25 [5824]~P74(x58241)+E(f326(f326(f3(x58241),f326(f326(f79(x58241),x58242),x58243)),x58243),x58242)
% 178.51/178.25 [5825]~P74(x58251)+E(f326(f326(f79(x58251),f326(f326(f3(x58251),x58252),x58253)),x58253),x58252)
% 178.51/178.25 [6059]~P74(x60591)+E(f326(f326(f79(x60591),x60592),f326(f326(f79(x60591),f326(f78(x60591),x60592)),x60593)),x60593)
% 178.51/178.25 [6142]~P82(x61421)+E(f326(f326(f80(x61421),f326(f326(f243(x61421),x61422),x61423)),x61422),f326(f326(f243(x61421),x61422),f326(a112,x61423)))
% 178.51/178.25 [6143]~P113(x61431)+E(f326(f326(f80(x61431),f326(f326(f243(x61431),x61432),x61433)),x61432),f326(f326(f243(x61431),x61432),f326(a112,x61433)))
% 178.51/178.25 [6364]~P119(x63641)+E(f326(f75(x63641),f326(f326(f243(x63641),f326(f78(x63641),x63642)),x63643)),f326(f75(x63641),f326(f326(f243(x63641),x63642),x63643)))
% 178.51/178.25 [6411]~P82(x64111)+E(f326(f326(f80(x64111),f326(f326(f243(x64111),x64112),x64113)),x64112),f326(f326(f80(x64111),x64112),f326(f326(f243(x64111),x64112),x64113)))
% 178.51/178.25 [6469]E(f326(f326(f3(a99),f326(f326(f79(a99),x64691),x64692)),x64693),f273(x64691,x64692,x64693))+~P106(f326(f326(f235(a99),x64692),x64693))
% 178.51/178.25 [6492]~E(f326(f326(f138(x64921),x64923),x64922),f113(x64921))+P106(f326(f326(f234(a914),f326(f189(f915(x64921)),x64922)),x64923))
% 178.51/178.25 [6630]E(f326(f326(f80(a914),f326(f103(a914),x66301)),f326(f326(f80(a914),f326(f103(a914),x66302)),x66303)),f2(a914))+~P106(f326(f326(f235(a1),x66301),a82))
% 178.51/178.25 [6646]~P63(x66461)+E(f326(f326(f243(x66461),f326(f326(f289(x66461),f77(x66461)),x66462)),x66463),f326(f326(f289(x66461),f77(x66461)),f326(f326(f243(x66461),x66462),x66463)))
% 178.51/178.25 [6725]E(f326(f326(f3(a914),f326(f326(f79(a914),x67251),x67252)),x67253),f326(f326(f3(a914),x67251),f326(f326(f3(a914),x67253),x67252)))+~P106(f326(f326(f234(a914),x67252),x67253))
% 178.51/178.25 [6727]E(f326(f326(f3(a914),f326(f326(f79(a914),x67271),x67272)),x67273),f326(f326(f79(a914),x67271),f326(f326(f3(a914),x67272),x67273)))+~P106(f326(f326(f234(a914),x67273),x67272))
% 178.51/178.25 [6764]~P78(x67641)+P106(f326(f326(f234(x67641),f326(f326(f101(x67641),x67642),x67643)),x67643))
% 178.51/178.25 [6765]~P102(x67651)+P106(f326(f326(f234(x67651),f326(f326(f101(x67651),x67652),x67653)),x67653))
% 178.51/178.25 [6766]~P78(x67661)+P106(f326(f326(f234(x67661),f326(f326(f101(x67661),x67662),x67663)),x67662))
% 178.51/178.25 [6767]~P102(x67671)+P106(f326(f326(f234(x67671),f326(f326(f101(x67671),x67672),x67673)),x67672))
% 178.51/178.25 [6768]~P109(x67681)+P106(f326(f326(f234(x67681),f326(f326(f232(x67681),x67682),x67683)),x67683))
% 178.51/178.25 [6769]~P109(x67691)+P106(f326(f326(f234(x67691),f326(f326(f232(x67691),x67692),x67693)),x67692))
% 178.51/178.25 [6783]E(f326(f326(f36(a1),f326(f326(f36(a1),x67831),x67832)),x67833),f326(f326(f36(a1),x67831),f326(f326(f80(a1),x67832),x67833)))+~P106(f326(f326(f235(a1),f2(a1)),x67833))
% 178.51/178.25 [6835]~P113(x68351)+E(f326(f326(f79(x68351),f326(f326(f80(x68351),x68352),x68353)),x68353),f326(f326(f80(x68351),f326(f326(f79(x68351),x68352),f77(x68351))),x68353))
% 178.51/178.25 [6836]~P95(x68361)+E(f326(f326(f80(x68361),f326(f78(x68361),f326(f103(x68361),x68362))),x68363),f326(f326(f80(x68361),f326(f103(x68361),f326(f78(a1),x68362))),x68363))
% 178.51/178.25 [6909]~P83(x69091)+E(f326(f165(x69091),f326(f326(f154(x69092,x69091),f326(f18(x69091,x69092),f2(x69091))),x69093)),f2(x69091))
% 178.51/178.25 [6925]E(f326(f326(f79(a914),f326(f103(a914),x69251)),f326(f326(f79(a914),f326(f103(a914),x69252)),x69253)),f326(f326(f79(a914),f326(f103(a914),x69252)),x69253))+~P106(f326(a193,f326(f103(a1),x69251)))
% 178.51/178.25 [6939]~P4(x69391)+E(f37(x69391,f326(f326(f308(x69391),x69392),f326(f326(f308(x69391),x69393),f188(f922(x69391,a910))))),f326(f326(f110(x69391),x69392),x69393))
% 178.51/178.25 [6940]~P4(x69401)+E(f38(x69401,f326(f326(f308(x69401),x69402),f326(f326(f308(x69401),x69403),f188(f922(x69401,a910))))),f326(f326(f101(x69401),x69402),x69403))
% 178.51/178.25 [6964]E(f326(f326(f175(x69641),x69642),x69643),x69643)+~P106(f326(f326(f234(a914),f326(f189(f915(x69641)),x69643)),x69642))
% 178.51/178.25 [6976]E(f326(f326(f138(x69761),x69762),x69763),f113(x69761))+~P106(f326(f326(f234(a914),f326(f189(f915(x69761)),x69763)),x69762))
% 178.51/178.25 [6987]E(f326(f326(f79(a914),f326(f326(f3(a914),x69871),x69872)),x69873),f326(f326(f3(a914),f326(f326(f79(a914),x69871),x69873)),x69872))+~P106(f326(f326(f234(a914),x69872),x69871))
% 178.51/178.25 [7001]~P106(f326(f326(f235(a914),x70011),x70013))+P106(f326(f326(f235(a914),f326(f326(f3(a914),x70011),x70012)),x70013))
% 178.51/178.25 [7028]~P109(x70281)+E(f170(x70281,x70282,f326(f326(f148(x70281,x70281,f7(x70281)),x70282),x70283)),x70283)
% 178.51/178.25 [7115]E(f326(f326(f3(a914),f326(f326(f79(a914),x71151),x71152)),f326(a112,x71153)),f326(f326(f3(a914),x71151),f326(a112,f326(f326(f3(a914),x71153),x71152))))+~P106(f326(f326(f234(a914),x71152),x71153))
% 178.51/178.25 [7116]~P119(x71161)+P106(f326(f326(f234(x71161),f2(x71161)),f326(f326(f243(x71161),f326(f75(x71161),x71162)),x71163)))
% 178.51/178.25 [7163]P23(x71631,x71632,x71633)+~P106(f326(f326(f234(f922(f913(x71631),a910)),x71633),x71632))
% 178.51/178.25 [7206]~P106(f326(f61(x72061),x72062))+P106(f326(f61(x72061),f326(f326(f3(f922(x72061,a910)),x72062),x72063)))
% 178.51/178.25 [7207]~P106(f326(f61(x72071),x72073))+P106(f326(f61(x72071),f326(f326(f101(f922(x72071,a910)),x72072),x72073)))
% 178.51/178.25 [7208]~P106(f326(f61(x72081),x72082))+P106(f326(f61(x72081),f326(f326(f101(f922(x72081,a910)),x72082),x72083)))
% 178.51/178.25 [7348]~P37(x73481,x73483)+P37(x73481,f326(f326(f101(f922(f921(x73481,x73481),a910)),x73482),x73483))
% 178.51/178.25 [7349]~P37(x73491,x73492)+P37(x73491,f326(f326(f101(f922(f921(x73491,x73491),a910)),x73492),x73493))
% 178.51/178.25 [7472]~P78(x74721)+E(f12(x74721,f326(f172(x74721),f326(f326(f151(x74721),x74722),x74723))),f326(f142(x74721,x74721,f110(x74721),x74722),x74723))
% 178.51/178.25 [7473]~P78(x74731)+E(f13(x74731,f326(f172(x74731),f326(f326(f151(x74731),x74732),x74733))),f326(f142(x74731,x74731,f101(x74731),x74732),x74733))
% 178.51/178.25 [7474]~P109(x74741)+E(f16(x74741,f326(f172(x74741),f326(f326(f151(x74741),x74742),x74743))),f326(f142(x74741,x74741,f232(x74741),x74742),x74743))
% 178.51/178.25 [7475]~P109(x74751)+E(f17(x74751,f326(f172(x74751),f326(f326(f151(x74751),x74752),x74753))),f326(f142(x74751,x74751,f233(x74751),x74752),x74753))
% 178.51/178.25 [7536]~P106(f326(f61(x75361),x75362))+P106(f326(f326(f234(a914),f326(f35(x75361),x75362)),f326(f35(x75361),f326(f326(f308(x75361),x75363),x75362))))
% 178.51/178.25 [7543]E(f326(f326(f110(f922(a914,a910)),f326(f301(a914,x75431),x75432)),f326(f301(a914,x75432),f326(f326(f79(a914),x75432),x75433))),f326(f301(a914,x75431),f326(f326(f79(a914),x75432),x75433)))+~P106(f326(f326(f234(a914),x75431),x75432))
% 178.51/178.25 [7552]P106(f326(f326(f234(a914),x75521),x75522))+~P106(f326(f326(f234(a914),f326(f326(f79(a914),x75523),x75521)),x75522))
% 178.51/178.25 [7553]P106(f326(f326(f234(a914),x75531),x75532))+~P106(f326(f326(f234(a914),f326(f326(f79(a914),x75531),x75533)),x75532))
% 178.51/178.25 [7554]P106(f326(f326(f235(a914),x75541),x75542))+~P106(f326(f326(f235(a914),f326(f326(f79(a914),x75541),x75543)),x75542))
% 178.51/178.25 [7593]~P109(x75931)+E(f14(x75931,f232(x75931),f326(f172(x75931),f326(f326(f151(x75931),x75932),x75933))),f326(f142(x75931,x75931,f232(x75931),x75932),x75933))
% 178.51/178.25 [7594]~P109(x75941)+E(f15(x75941,f233(x75941),f326(f172(x75941),f326(f326(f151(x75941),x75942),x75943))),f326(f142(x75941,x75941,f233(x75941),x75942),x75943))
% 178.51/178.25 [7598]~E(x75982,f188(f922(f921(x75981,x75981),a910)))+P106(f326(f326(f234(f922(f921(x75981,x75981),a910)),x75982),x75983))
% 178.51/178.25 [7700]E(f326(f326(f110(f922(x77001,a910)),x77002),f326(f326(f3(f922(x77001,a910)),x77003),x77002)),x77003)+~P106(f326(f326(f234(f922(x77001,a910)),x77002),x77003))
% 178.51/178.25 [7701]~P106(f326(f326(f234(a914),x77011),f326(f326(f79(a914),x77013),x77012)))+P106(f326(f326(f234(a914),f326(f326(f3(a914),x77011),x77012)),x77013))
% 178.51/178.25 [7702]~P106(f326(f326(f235(a914),x77021),f326(f326(f3(a914),x77023),x77022)))+P106(f326(f326(f235(a914),f326(f326(f79(a914),x77021),x77022)),x77023))
% 178.51/178.25 [7756]E(x77561,f113(x77562))+E(f326(f141(x77562),f326(f326(f326(f183(f915(x77562),f915(x77562)),x77563),f167(x77562)),x77561)),f326(f326(f164(x77562),x77561),f45(a914,x77563,f326(f189(f915(x77562)),x77561))))
% 178.51/178.25 [7765]E(f326(f326(f308(x77651),x77652),f326(f326(f3(f922(x77651,a910)),x77653),f326(f326(f308(x77651),x77652),f188(f922(x77651,a910))))),x77653)+~P106(f326(f326(f328(x77651),x77652),x77653))
% 178.51/178.25 [7923]P106(f326(f326(f234(a914),x79231),f326(f326(f79(a914),x79232),x79233)))+~P106(f326(f326(f234(a914),f326(f326(f3(a914),x79231),x79233)),x79232))
% 178.51/178.25 [7924]P106(f326(f326(f235(a914),x79241),f326(f326(f3(a914),x79242),x79243)))+~P106(f326(f326(f235(a914),f326(f326(f79(a914),x79241),x79243)),x79242))
% 178.51/178.25 [7949]P106(f326(f61(x79491),x79492))+~P106(f326(f61(x79491),f326(f326(f110(f922(x79491,a910)),x79493),x79492)))
% 178.51/178.25 [7950]P106(f326(f61(x79501),x79502))+~P106(f326(f61(x79501),f326(f326(f110(f922(x79501,a910)),x79502),x79503)))
% 178.51/178.25 [8022]~P46(x80221,x80223)+P106(f326(f326(f328(f921(x80221,x80221)),f326(f326(f251(x80221,x80221),x80222),x80222)),x80223))
% 178.51/178.25 [8154]E(f326(f326(f164(a914),f139(a914,f326(f301(a914,x81541),x81542))),x81543),f326(f326(f79(a914),x81541),x81543))+~P106(f326(f326(f235(a914),f326(f326(f79(a914),x81541),x81543)),x81542))
% 178.51/178.25 [8220]E(f326(f326(f175(a914),x82201),f139(a914,f326(f301(a914,x82202),x82203))),f139(a914,f326(f301(a914,x82202),f326(f326(f79(a914),x82202),x82201))))+~P106(f326(f326(f234(a914),f326(f326(f79(a914),x82202),x82201)),x82203))
% 178.51/178.25 [8276]~P95(x82761)+E(f326(f326(f243(x82761),x82762),f326(f103(a914),f326(f326(f79(a1),x82763),x82763))),f326(f326(f85(x82761,x82761),f326(f326(f243(x82761),x82762),f326(f103(a914),x82763))),f326(f326(f20(x82761,x82761,x82761),f80(x82761)),f7(x82761))))
% 178.51/178.25 [8536]E(f326(f326(f134(x85361),f326(f326(f175(x85361),x85362),x85363)),f326(f326(f151(x85361),f326(f326(f164(x85361),x85363),x85362)),f326(f326(f138(x85361),f326(a112,x85362)),x85363))),x85363)+~P106(f326(f326(f235(a914),x85362),f326(f189(f915(x85361)),x85363)))
% 178.51/178.25 [8543]P106(f326(f326(f234(f922(x85431,a910)),f314(x85431,x85432)),f314(x85431,x85433)))+~P106(f326(f326(f234(f922(x85431,f922(x85431,a910))),x85433),x85432))
% 178.51/178.25 [8544]~P55(x85441,x85442,x85443)+P55(x85441,x85442,f326(f326(f3(f922(f921(x85441,x85441),a910)),x85443),f306(x85441,f188(f922(f921(x85441,x85441),a910)))))
% 178.51/178.25 [8563]P106(f326(f326(f234(f922(x85631,a910)),f315(x85631,x85632)),f315(x85631,x85633)))+~P106(f326(f326(f234(f922(f921(x85631,x85631),a910)),x85633),x85632))
% 178.51/178.25 [8570]~P127(x85701)+P106(f326(f326(f234(x85701),f2(x85701)),f326(f326(f79(x85701),f326(f326(f80(x85701),x85702),x85702)),f326(f326(f80(x85701),x85703),x85703))))
% 178.51/178.25 [8602]P106(f326(f326(f234(f922(x86021,a910)),f326(f280(x86021),x86022)),f326(f280(x86021),x86023)))+~P106(f326(f326(f234(f922(f921(x86021,x86021),a910)),x86022),x86023))
% 178.51/178.25 [8631]~P53(x86311,x86312)+~P106(f326(f326(f328(f921(x86311,x86311)),f326(f326(f251(x86311,x86311),x86313),x86313)),x86312))
% 178.51/178.25 [8633]~P37(x86331,x86332)+~P106(f326(f326(f328(f921(x86331,x86331)),f326(f326(f251(x86331,x86331),x86333),x86333)),x86332))
% 178.51/178.25 [8690]P106(f326(f326(f234(f922(x86901,a910)),f37(f922(x86901,a910),x86902)),f37(f922(x86901,a910),x86903)))+~P106(f326(f326(f234(f922(f922(x86901,a910),a910)),x86902),x86903))
% 178.51/178.25 [8691]P106(f326(f326(f234(f922(x86911,a910)),f38(f922(x86911,a910),x86912)),f38(f922(x86911,a910),x86913)))+~P106(f326(f326(f234(f922(f922(x86911,a910),a910)),x86913),x86912))
% 178.51/178.25 [8745]~P7(x87451,x87453,x87452)+P106(f326(f326(f234(f922(f921(x87451,x87451),a910)),x87452),f326(f326(f253(x87451,x87451),x87453),f326(f18(f922(x87451,a910),x87451),x87453))))
% 178.51/178.25 [8746]~P52(x87461,x87463,x87462)+P106(f326(f326(f234(f922(f921(x87461,x87461),a910)),x87462),f326(f326(f253(x87461,x87461),x87463),f326(f18(f922(x87461,a910),x87461),x87463))))
% 178.51/178.25 [8795]~P87(x87951)+P106(f326(f326(f234(x87951),f326(f326(f3(x87951),f326(f75(x87951),x87952)),f326(f75(x87951),x87953))),f326(f75(x87951),f326(f326(f3(x87951),x87953),x87952))))
% 178.51/178.25 [8796]~P87(x87961)+P106(f326(f326(f234(x87961),f326(f326(f3(x87961),f326(f75(x87961),x87962)),f326(f75(x87961),x87963))),f326(f75(x87961),f326(f326(f3(x87961),x87962),x87963))))
% 178.51/178.25 [8828]P106(f326(f326(f234(f922(f921(x88281,x88281),a910)),f306(x88281,x88282)),f306(x88281,x88283)))+~P106(f326(f326(f234(f922(f921(x88281,x88281),a910)),x88282),x88283))
% 178.51/178.25 [8939]~P24(x89392,x89391,x89393,f241(f922(x89392,a910)))+E(f326(f72(x89391,x89392,x89392,f91(x89392,x89391,f241(f922(x89392,a910)),x89393)),x89393),f31(x89392))
% 178.51/178.25 [8999]P55(x89991,x89992,x89993)+~P55(x89991,x89992,f326(f326(f3(f922(f921(x89991,x89991),a910)),x89993),f306(x89991,f188(f922(f921(x89991,x89991),a910)))))
% 178.51/178.25 [9019]P106(f326(f326(f234(f922(f921(f915(x90191),f915(x90191)),a910)),f157(x90191,x90192)),f157(x90191,x90193)))+~P106(f326(f326(f234(f922(f921(x90191,x90191),a910)),x90192),x90193))
% 178.51/178.25 [9020]P106(f326(f326(f234(f922(f921(f915(x90201),f915(x90201)),a910)),f158(x90201,x90202)),f158(x90201,x90203)))+~P106(f326(f326(f234(f922(f921(x90201,x90201),a910)),x90202),x90203))
% 178.51/178.25 [9041]~P52(x90411,x90413,x90412)+P106(f326(f326(f234(f922(f921(x90411,x90411),a910)),x90412),f326(f326(f288(x90411,x90411,x90411),f326(f285(x90411,x90411),x90412)),x90412)))
% 178.51/178.25 [9093]~P106(f326(f137(x90931),x90932))+E(f326(f136(x90931,f326(f326(f9(x90931,f922(x90931,a910),a910),f328(x90931)),f326(f172(x90931),f176(x90931,x90932,x90933)))),x90932),f176(x90931,x90932,x90933))
% 178.51/178.25 [9146]E(x91461,x91462)+~P106(f326(f326(f328(f921(x91463,x91463)),f326(f326(f251(x91463,x91463),x91461),x91462)),f306(x91463,f188(f922(f921(x91463,x91463),a910)))))
% 178.51/178.25 [9228]P106(f326(f326(f328(x92281),x92282),f315(x92281,x92283)))+P106(f326(f326(f328(f921(x92281,x92281)),f326(f326(f251(x92281,x92281),f526(x92283,x92282,x92281)),x92282)),x92283))
% 178.51/178.25 [9229]P106(f326(f326(f328(x92291),x92292),f315(x92291,x92293)))+P106(f326(f326(f328(f921(x92291,x92291)),f326(f326(f251(x92291,x92291),f602(x92293,x92292,x92291)),x92292)),x92293))
% 178.51/178.25 [9230]P106(f326(f326(f328(x92301),x92302),f315(x92301,x92303)))+P106(f326(f326(f328(f921(x92301,x92301)),f326(f326(f251(x92301,x92301),f605(x92303,x92302,x92301)),x92302)),x92303))
% 178.51/178.25 [9266]P24(x92661,x92662,x92663,f241(f922(x92661,a910)))+~E(f326(f72(x92662,x92661,x92661,f91(x92661,x92662,f241(f922(x92661,a910)),x92663)),x92663),f31(x92661))
% 178.51/178.25 [9319]~P106(f326(f326(f328(f915(x93191)),x93193),f161(x93191,x93192)))+P106(f326(f160(x93191,f326(f326(f9(x93191,f922(x93191,a910),a910),f328(x93191)),x93192)),x93193))
% 178.51/178.25 [9342]P106(f326(x93423,x93422))+E(f326(f261(x93421),f326(f326(f20(x93421,a910,a910),f326(f326(f10(a910,f922(a910,a910),x93421),a325),f326(a323,x93422))),x93423)),f188(f922(x93421,a910)))
% 178.51/178.25 [9359]~P87(x93591)+P106(f326(f326(f234(x93591),f326(f75(x93591),f326(f326(f3(x93591),f326(f75(x93591),x93592)),f326(f75(x93591),x93593)))),f326(f75(x93591),f326(f326(f3(x93591),x93592),x93593))))
% 178.51/178.25 [9373]~P106(f326(x93733,x93732))+E(f326(f261(x93731),f326(f326(f20(x93731,a910,a910),f326(f326(f10(a910,f922(a910,a910),x93731),a325),f326(a323,x93732))),x93733)),f326(f326(f308(x93731),x93732),f188(f922(x93731,a910))))
% 178.51/178.25 [9380]~P106(f326(f326(f328(f922(x93801,a910)),x93803),f326(f307(x93801),x93802)))+P106(f326(f247(x93801,f326(f326(f9(x93801,f922(x93801,a910),a910),f328(x93801)),x93802)),x93803))
% 178.51/178.25 [9417]P37(x94171,x94172)+P106(f326(f326(f328(f921(x94171,x94171)),f326(f326(f251(x94171,x94171),f326(f564(x94172,x94171),f326(a112,x94173))),f326(f564(x94172,x94171),x94173))),x94172))
% 178.51/178.25 [9558]P106(f326(f326(f328(f915(x95581)),x95582),f161(x95581,x95583)))+~P106(f326(f160(x95581,f326(f326(f9(x95581,f922(x95581,a910),a910),f328(x95581)),x95583)),x95582))
% 178.51/178.25 [9571]P106(f326(f326(f328(f922(x95711,a910)),x95712),f326(f307(x95711),x95713)))+~P106(f326(f247(x95711,f326(f326(f9(x95711,f922(x95711,a910),a910),f328(x95711)),x95713)),x95712))
% 178.51/178.25 [9636]P106(f326(f326(f328(x96361),f326(f267(x96361,x96362),x96363)),f326(f172(x96361),f326(f326(f154(f921(a99,x96361),x96361),f255(a99,x96361)),x96362))))+~P106(f326(f326(f235(a99),x96363),f326(f165(a99),f326(f326(f154(f921(a99,x96361),a99),f250(a99,x96361)),x96362))))
% 178.51/178.25 [9687]P106(f326(f326(f234(f922(f921(f915(x96871),f915(x96871)),a910)),f158(x96871,x96872)),f326(f326(f253(f915(x96871),f915(x96871)),f161(x96871,x96873)),f326(f18(f922(f915(x96871),a910),f915(x96871)),f161(x96871,x96873)))))+~P106(f326(f326(f234(f922(f921(x96871,x96871),a910)),x96872),f326(f326(f253(x96871,x96871),x96873),f326(f18(f922(x96871,a910),x96871),x96873))))
% 178.51/178.25 [9711]P106(f326(f326(f328(x97111),f326(f250(x97111,f921(a99,a99)),f326(f265(x97111,x97112),x97113))),f326(f172(x97111),f326(f326(f154(f921(a99,x97111),x97111),f255(a99,x97111)),x97112))))+~P106(f326(f326(f235(a99),f2(a99)),f326(f165(a99),f326(f326(f154(f921(a99,x97111),a99),f250(a99,x97111)),x97112))))
% 178.51/178.25 [9726]~P106(f326(f326(f234(f922(f921(x97261,x97261),a910)),x97262),f326(f326(f253(x97261,x97261),x97263),f326(f18(f922(x97261,a910),x97261),x97263))))+P106(f326(f326(f234(f922(f921(x97261,x97261),a910)),f326(f326(f288(x97261,x97261,x97261),x97262),f306(x97261,x97262))),f326(f326(f253(x97261,x97261),x97263),f326(f18(f922(x97261,a910),x97261),x97263))))
% 178.51/178.25 [10025]~P37(x100251,x100252)+~P106(f326(f326(f328(f921(x100251,x100251)),f326(f326(f251(x100251,x100251),f326(x100253,f326(a112,f566(x100252,x100251,x100253)))),f326(x100253,f566(x100252,x100251,x100253)))),x100252))
% 178.51/178.25 [10026]~P37(x100261,x100262)+~P106(f326(f326(f328(f921(x100261,x100261)),f326(f326(f251(x100261,x100261),f326(x100263,f326(a112,f609(x100263,x100262,x100261)))),f326(x100263,f609(x100263,x100262,x100261)))),x100262))
% 178.51/178.25 [10272]P106(f326(f326(f234(f922(f921(f922(x102721,a910),f922(x102721,a910)),a910)),f326(f326(f288(f922(x102721,a910),f922(x102721,a910),f922(x102721,a910)),f317(x102721,x102722)),f326(f326(f110(f922(f921(f922(x102721,a910),f922(x102721,a910)),a910)),f317(x102721,x102723)),f326(f326(f308(f921(f922(x102721,a910),f922(x102721,a910))),f326(f326(f251(f922(x102721,a910),f922(x102721,a910)),f188(f922(x102721,a910))),f188(f922(x102721,a910)))),f188(f922(f921(f922(x102721,a910),f922(x102721,a910)),a910)))))),f317(x102721,x102722)))+~P106(f326(f326(f234(f922(f921(x102721,x102721),a910)),f326(f326(f288(x102721,x102721,x102721),x102722),x102723)),x102722))
% 178.51/178.25 [10273]P106(f326(f326(f234(f922(f921(f922(x102731,a910),f922(x102731,a910)),a910)),f326(f326(f288(f922(x102731,a910),f922(x102731,a910),f922(x102731,a910)),f318(x102731,x102732)),f326(f326(f110(f922(f921(f922(x102731,a910),f922(x102731,a910)),a910)),f318(x102731,x102733)),f326(f326(f308(f921(f922(x102731,a910),f922(x102731,a910))),f326(f326(f251(f922(x102731,a910),f922(x102731,a910)),f188(f922(x102731,a910))),f188(f922(x102731,a910)))),f188(f922(f921(f922(x102731,a910),f922(x102731,a910)),a910)))))),f318(x102731,x102732)))+~P106(f326(f326(f234(f922(f921(x102731,x102731),a910)),f326(f326(f288(x102731,x102731,x102731),x102732),x102733)),x102732))
% 178.51/178.25 [7471]~P106(f326(f326(f234(a914),x74712),x74711))+E(f326(f326(f3(a914),f326(a112,f326(f326(f3(a914),x74711),x74712))),x74713),f326(f326(f3(a914),f326(a112,x74711)),f326(f326(f79(a914),x74712),x74713)))
% 178.51/178.25 [7510]~P60(x75101)+E(f326(f326(f79(x75101),f45(x75101,x75102,x75103)),f326(f326(f80(x75101),f326(f326(f36(x75101),x75102),x75103)),x75103)),x75102)
% 178.51/178.25 [7706]E(f326(f326(f80(a914),f326(f103(a914),x77061)),f326(f326(f80(a914),f326(f103(a914),x77062)),x77063)),f326(f326(f80(a914),f326(f103(a914),f326(f326(f80(a1),x77061),x77062))),x77063))+P106(f326(f326(f235(a1),x77061),a82))
% 178.51/178.25 [8163]~P106(f326(f326(f234(a914),x81633),x81632))+P106(f326(f326(f234(a914),x81631),f326(f326(f3(a914),f326(f326(f79(a914),x81632),x81631)),x81633)))
% 178.51/178.25 [8357]~P106(f326(f326(f234(a914),x83571),x83572))+E(f326(f326(f134(a914),f139(a914,f326(f301(a914,x83571),x83572))),f139(a914,f326(f301(a914,x83572),f326(f326(f79(a914),x83572),x83573)))),f139(a914,f326(f301(a914,x83571),f326(f326(f79(a914),x83572),x83573))))
% 178.51/178.25 [8610]~P106(f326(f61(x86101),x86102))+E(f326(a112,f326(f35(x86101),f326(f326(f3(f922(x86101,a910)),x86102),f326(f326(f308(x86101),x86103),f188(f922(x86101,a910)))))),f326(f35(x86101),f326(f326(f308(x86101),x86103),x86102)))
% 178.51/178.25 [8649]~P106(f326(f61(x86491),x86492))+E(f326(f326(f79(a914),f77(a914)),f326(f35(x86491),f326(f326(f3(f922(x86491,a910)),x86492),f326(f326(f308(x86491),x86493),f188(f922(x86491,a910)))))),f326(f35(x86491),f326(f326(f308(x86491),x86493),x86492)))
% 178.51/178.25 [8837]E(f326(f326(f3(a914),f326(f35(x88371),x88372)),f326(f35(x88371),f326(f326(f101(f922(x88371,a910)),x88372),x88373))),f326(f35(x88371),f326(f326(f3(f922(x88371,a910)),x88372),x88373)))+~P106(f326(f61(x88371),f326(f326(f101(f922(x88371,a910)),x88372),x88373)))
% 178.51/178.25 [9088]~P5(f326(x90882,f400(x90882,x90883,x90881)))+E(f326(f100(a1),f326(f326(f8(x90881,a914),f326(f326(f10(a1,a914,x90881),a104),x90882)),x90883)),f326(f326(f8(x90881,a1),x90882),x90883))
% 178.51/178.25 [9089]~P5(f326(x90892,f401(x90892,x90893,x90891)))+E(f326(f100(a1),f326(f326(f11(x90891,a914),f326(f326(f10(a1,a914,x90891),a104),x90892)),x90893)),f326(f326(f11(x90891,a1),x90892),x90893))
% 178.51/178.25 [9129]~P106(f326(f61(x91291),x91293))+P106(f326(f326(f234(a914),f326(f326(f3(a914),f326(f35(x91291),x91292)),f326(f35(x91291),x91293))),f326(f35(x91291),f326(f326(f3(f922(x91291,a910)),x91292),x91293))))
% 178.51/178.25 [9156]P106(f326(f326(f328(x91561),f400(x91562,x91563,x91561)),x91563))+E(f326(f100(a1),f326(f326(f8(x91561,a914),f326(f326(f10(a1,a914,x91561),a104),x91562)),x91563)),f326(f326(f8(x91561,a1),x91562),x91563))
% 178.51/178.25 [9157]P106(f326(f326(f328(x91571),f401(x91572,x91573,x91571)),x91573))+E(f326(f100(a1),f326(f326(f11(x91571,a914),f326(f326(f10(a1,a914,x91571),a104),x91572)),x91573)),f326(f326(f11(x91571,a1),x91572),x91573))
% 178.51/178.25 [9220]E(f84(x92201,f326(f326(f9(x92201,f922(x92201,a910),a910),f328(x92201)),f326(f326(f3(f922(x92201,a910)),x92202),f326(f326(f308(x92201),x92203),f188(f922(x92201,a910)))))),f246(x92201,x92203,x92202))+P106(f326(f326(f234(f922(x92201,a910)),x92202),f326(f326(f308(x92201),x92203),f188(f922(x92201,a910)))))
% 178.51/178.25 [9572]E(f326(f326(f154(f915(x95721),x95721),f326(f326(f9(f915(x95721),a914,x95721),f164(x95721)),x95722)),f326(f136(f915(x95721),f326(f326(f10(a914,a910,f915(x95721)),f326(f235(a914),x95722)),f189(f915(x95721)))),x95723)),f326(f326(f164(f915(x95721)),f179(x95721,x95723)),x95722))+~P106(f326(f326(f235(a914),x95722),f326(f189(f915(f915(x95721))),f179(x95721,x95723))))
% 178.51/178.25 [9659]E(f326(f136(x96591,x96592),x96593),f177(x96591,x96592,x96593))+P106(f326(f326(f328(x96591),f722(x96593,x96592,x96591)),f326(f172(x96591),f326(f326(f138(x96591),f326(f189(f915(x96591)),f177(x96591,x96592,x96593))),x96593))))
% 178.51/178.25 [9799]E(f326(f326(f138(x97991),f326(f189(f915(x97991)),f177(x97991,x97992,x97993))),x97993),f113(x97991))+~P106(f326(x97992,f326(f141(x97991),f326(f326(f138(x97991),f326(f189(f915(x97991)),f177(x97991,x97992,x97993))),x97993))))
% 178.51/178.25 [9891]~P106(f326(f326(f328(f921(x98911,x98911)),x98912),f306(x98911,x98913)))+P106(f326(f326(f328(f921(x98911,x98911)),x98912),f326(f326(f40(a914,f922(f921(x98911,x98911),a910)),f241(f922(a914,a910))),f326(f326(f9(a914,f922(f921(x98911,x98911),a910),f922(f921(x98911,x98911),a910)),f183(f921(x98911,x98911),a910)),x98913))))
% 178.51/178.25 [9951]~P106(f326(f326(f234(f922(x99511,a910)),f326(f326(f40(a914,f922(x99511,a910)),f326(f301(a914,f2(a914)),f479(x99513,x99512,x99511))),x99512)),x99513))+P106(f326(f326(f234(f922(x99511,a910)),f326(f326(f40(a914,f922(x99511,a910)),f241(f922(a914,a910))),x99512)),x99513))
% 178.51/178.25 [9998]~P106(f326(f326(f235(a1),f2(a1)),x99983))+P106(f326(f326(f235(a1),x99981),f326(f326(f79(a1),x99982),f326(f326(f80(a1),f326(f326(f79(a1),f326(f75(a1),f326(f326(f3(a1),x99982),x99981))),f77(a1))),x99983))))
% 178.51/178.25 [10012]~P37(x100121,f326(f326(f110(f922(f921(x100121,x100121),a910)),x100122),x100123))+P37(x100121,f326(f326(f110(f922(f921(x100121,x100121),a910)),f326(f326(f110(f922(f921(x100121,x100121),a910)),f326(f326(f288(x100121,x100121,x100121),x100122),x100122)),f326(f326(f288(x100121,x100121,x100121),x100123),x100122))),x100123))
% 178.51/178.25 [10087]P37(x100871,f326(f326(f110(f922(f921(x100871,x100871),a910)),x100872),x100873))+~P37(x100871,f326(f326(f110(f922(f921(x100871,x100871),a910)),f326(f326(f110(f922(f921(x100871,x100871),a910)),f326(f326(f288(x100871,x100871,x100871),x100872),x100872)),f326(f326(f288(x100871,x100871,x100871),x100873),x100872))),x100873))
% 178.51/178.25 [9663]~P141(x96631)+E(f326(f102(x96631),f326(a88,f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),f326(f326(f251(a914,a914),x96632),x96633)),f188(f922(f921(a914,a914),a910)))))),f326(f326(f3(x96631),f326(f100(x96631),x96632)),f326(f100(x96631),x96633)))
% 178.51/178.25 [9746]P106(f326(x97463,x97462))+E(f326(f261(x97461),f326(f326(f20(x97461,a910,a910),f326(f326(f10(a910,f922(a910,a910),x97461),a325),f326(f326(f9(x97461,x97461,a910),a323),x97462))),x97463)),f188(f922(x97461,a910)))
% 178.51/178.25 [9748]~P106(f326(x97483,x97482))+E(f326(f261(x97481),f326(f326(f20(x97481,a910,a910),f326(f326(f10(a910,f922(a910,a910),x97481),a325),f326(f326(f9(x97481,x97481,a910),a323),x97482))),x97483)),f326(f326(f308(x97481),x97482),f188(f922(x97481,a910))))
% 178.51/178.25 [9977]E(x99771,x99772)+P106(f326(f326(f242(x99773,x99773,f326(f326(f10(f922(x99773,a910),f922(x99773,a910),x99773),f326(f10(a910,a910,x99773),a321)),a323)),x99771),x99772))
% 178.51/178.25 [10067]~E(x100671,x100672)+~P106(f326(f326(f242(x100673,x100673,f326(f326(f10(f922(x100673,a910),f922(x100673,a910),x100673),f326(f10(a910,a910,x100673),a321)),a323)),x100671),x100672))
% 178.51/178.25 [10079]~P106(f326(f61(x100791),x100793))+E(f326(f326(f64(x100791,f922(x100791,a910),f326(f326(f10(f922(x100791,a910),f922(f922(x100791,a910),f922(x100791,a910)),x100791),f326(f9(f922(x100791,a910),f922(x100791,a910),f922(x100791,a910)),f3(f922(x100791,a910)))),f326(f326(f9(x100791,f922(x100791,a910),f922(x100791,a910)),f308(x100791)),f188(f922(x100791,a910))))),x100792),x100793),f326(f326(f3(f922(x100791,a910)),x100792),x100793))
% 178.51/178.25 [10111]~P106(f326(f326(f235(a1),f2(a1)),x101113))+P106(f326(f326(f235(a1),f326(f326(f3(a1),x101111),f326(f326(f80(a1),f326(f326(f79(a1),f326(f75(a1),f326(f326(f3(a1),x101111),x101112))),f77(a1))),x101113))),x101112))
% 178.51/178.25 [10364]~P106(f326(f326(f328(x103641),x103643),f315(x103641,x103642)))+P106(f326(f314(x103641,f326(f326(f9(x103641,f922(f921(x103641,x103641),a910),f922(x103641,a910)),f326(f326(f10(f922(x103641,f922(f922(f921(x103641,x103641),a910),a910)),f922(f922(f921(x103641,x103641),a910),f922(x103641,a910)),x103641),f9(x103641,f922(f921(x103641,x103641),a910),a910)),f326(f326(f10(f922(x103641,f921(x103641,x103641)),f922(x103641,f922(f922(f921(x103641,x103641),a910),a910)),x103641),f326(f10(f921(x103641,x103641),f922(f922(f921(x103641,x103641),a910),a910),x103641),f328(f921(x103641,x103641)))),f251(x103641,x103641)))),x103642)),x103643))
% 178.51/178.25 [10378]P106(f326(f326(f328(x103781),x103782),f315(x103781,x103783)))+~P106(f326(f314(x103781,f326(f326(f9(x103781,f922(f921(x103781,x103781),a910),f922(x103781,a910)),f326(f326(f10(f922(x103781,f922(f922(f921(x103781,x103781),a910),a910)),f922(f922(f921(x103781,x103781),a910),f922(x103781,a910)),x103781),f9(x103781,f922(f921(x103781,x103781),a910),a910)),f326(f326(f10(f922(x103781,f921(x103781,x103781)),f922(x103781,f922(f922(f921(x103781,x103781),a910),a910)),x103781),f326(f10(f921(x103781,x103781),f922(f922(f921(x103781,x103781),a910),a910),x103781),f328(f921(x103781,x103781)))),f251(x103781,x103781)))),x103783)),x103782))
% 178.51/178.25 [9949]~P106(f326(f61(x99491),f326(f261(x99491),x99493)))+P106(f326(f61(x99491),f326(f261(x99491),f326(f326(f20(x99491,a910,a910),f326(f326(f10(a910,f922(a910,a910),x99491),a325),x99492)),x99493))))
% 178.51/178.25 [9950]~P106(f326(f61(x99501),f326(f261(x99501),x99502)))+P106(f326(f61(x99501),f326(f261(x99501),f326(f326(f20(x99501,a910,a910),f326(f326(f10(a910,f922(a910,a910),x99501),a325),x99502)),x99503))))
% 178.51/178.25 [10046]P106(f326(f61(x100461),f326(f261(x100461),x100462)))+~P106(f326(f61(x100461),f326(f261(x100461),f326(f326(f20(x100461,a910,a910),f326(f326(f10(a910,f922(a910,a910),x100461),a324),x100463)),x100462))))
% 178.51/178.25 [10047]P106(f326(f61(x100471),f326(f261(x100471),x100472)))+~P106(f326(f61(x100471),f326(f261(x100471),f326(f326(f20(x100471,a910,a910),f326(f326(f10(a910,f922(a910,a910),x100471),a324),x100472)),x100473))))
% 178.51/178.25 [10341]~P106(f326(f61(x103411),x103412))+P106(f326(f61(f915(x103411)),f326(f261(f915(x103411)),f326(f326(f20(f915(x103411),a910,a910),f326(f326(f10(a910,f922(a910,a910),f915(x103411)),a325),f326(f326(f9(f915(x103411),f922(x103411,a910),a910),f326(f326(f10(f922(x103411,a910),f922(f922(x103411,a910),a910),f915(x103411)),f234(f922(x103411,a910))),f172(x103411))),x103412))),f326(f326(f9(f915(x103411),a914,a910),f326(f326(f10(a914,f922(a914,a910),f915(x103411)),a323),f189(f915(x103411)))),x103413)))))
% 178.51/178.25 [10342]~P106(f326(f61(x103421),x103422))+P106(f326(f61(f915(x103421)),f326(f261(f915(x103421)),f326(f326(f20(f915(x103421),a910,a910),f326(f326(f10(a910,f922(a910,a910),f915(x103421)),a325),f326(f326(f9(f915(x103421),f922(x103421,a910),a910),f326(f326(f10(f922(x103421,a910),f922(f922(x103421,a910),a910),f915(x103421)),f234(f922(x103421,a910))),f172(x103421))),x103422))),f326(f326(f9(f915(x103421),a914,a910),f326(f326(f10(a914,f922(a914,a910),f915(x103421)),f234(a914)),f189(f915(x103421)))),x103423)))))
% 178.51/178.25 [10060]~P113(x100601)+E(f326(f326(f243(x100601),x100602),f326(f326(f80(a914),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x100603)),f326(f326(f80(x100601),f326(f326(f243(x100601),x100602),x100603)),f326(f326(f243(x100601),x100602),x100603)))
% 178.51/178.25 [10092]~P82(x100921)+E(f326(f326(f243(x100921),f326(f326(f243(x100921),x100922),x100923)),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f243(x100921),x100922),f326(f326(f80(a914),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x100923)))
% 178.51/178.25 [10137]~P141(x101371)+E(f326(f326(f243(x101371),f326(f78(x101371),x101372)),f326(f326(f80(a914),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101373)),f326(f326(f243(x101371),x101372),f326(f326(f80(a914),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101373)))
% 178.51/178.25 [10280]~P119(x102801)+P106(f326(f326(f234(x102801),f2(x102801)),f326(f326(f79(x102801),f326(f326(f243(x102801),x102802),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x102801),x102803),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))))
% 178.51/178.25 [10147]~P113(x101471)+E(f326(f326(f243(x101471),x101472),f326(a112,f326(f326(f80(a914),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101473))),f326(f326(f80(x101471),x101472),f326(f326(f80(x101471),f326(f326(f243(x101471),x101472),x101473)),f326(f326(f243(x101471),x101472),x101473))))
% 178.51/178.25 [10197]~P82(x101971)+E(f326(f326(f80(x101971),x101972),f326(f326(f243(x101971),f326(f326(f243(x101971),x101972),x101973)),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x101971),x101972),f326(a112,f326(f326(f80(a914),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101973))))
% 178.51/178.25 [10234]~P119(x102341)+P106(f326(f326(f234(x102341),f2(x102341)),f326(f326(f243(x102341),x102342),f326(f326(f80(a914),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102343))))
% 178.51/178.25 [10317]~P95(x103171)+E(f326(f326(f3(x103171),f326(f326(f79(x103171),f326(f326(f243(x103171),x103172),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103171),x103173),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f326(f326(f80(x103171),f326(f326(f80(x103171),f326(f103(x103171),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103172)),x103173)),f326(f326(f243(x103171),f326(f326(f3(x103171),x103172),x103173)),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 178.51/178.25 [10318]~P95(x103181)+E(f326(f326(f79(x103181),f326(f326(f79(x103181),f326(f326(f243(x103181),x103182),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103181),x103183),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f326(f326(f80(x103181),f326(f326(f80(x103181),f326(f103(x103181),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103182)),x103183)),f326(f326(f243(x103181),f326(f326(f79(x103181),x103182),x103183)),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 178.51/178.25 [4853]E(x48531,x48532)+~E(f30(x48533,x48531),f30(x48534,x48532))
% 178.51/178.25 [4854]E(x48541,x48542)+~E(f30(x48541,x48543),f30(x48542,x48544))
% 178.51/178.25 [4855]E(x48551,x48552)+~E(f29(x48553,x48551),f29(x48554,x48552))
% 178.51/178.25 [4856]E(x48561,x48562)+~E(f29(x48561,x48563),f29(x48562,x48564))
% 178.51/178.25 [7966]P24(x79661,x79662,x79663,x79664)+~E(f513(x79664,x79663,x79662,x79661),f520(x79664,x79663,x79662,x79661))
% 178.51/178.25 [8254]P34(x82541,x82542,x82543,x82544,f113(x82542))+~E(x82544,f113(x82541))
% 178.51/178.25 [8255]P34(x82551,x82552,x82553,f113(x82551),x82554)+~E(x82554,f113(x82552))
% 178.51/178.25 [8785]~P34(x87852,x87853,x87854,x87851,f113(x87853))+E(x87851,f113(x87852))
% 178.51/178.25 [8786]~P34(x87863,x87862,x87864,f113(x87863),x87861)+E(x87861,f113(x87862))
% 178.51/178.25 [5241]~P16(x52413,x52411,x52414)+E(f326(f326(x52411,x52412),x52412),x52412)
% 178.51/178.25 [5493]P106(f326(x54932,x54934))+E(f326(f136(x54931,x54932),f169(x54931,x54933,x54934)),f113(x54931))
% 178.51/178.25 [5530]~E(x55304,f188(f922(x55301,a910)))+E(f326(f309(x55301,x55302,x55303),x55304),f188(f922(x55302,a910)))
% 178.51/178.25 [5774]~P106(f326(x57742,x57744))+E(f326(f136(x57741,x57742),f169(x57741,x57743,x57744)),f169(x57741,x57743,x57744))
% 178.51/178.25 [5803]~E(f326(f309(x58032,x58033,x58034),x58031),f188(f922(x58033,a910)))+E(x58031,f188(f922(x58032,a910)))
% 178.51/178.25 [5990]~P6(x59901,x59903)+E(f270(x59901,x59902,f269(x59901,x59903),x59904),x59904)
% 178.51/178.25 [6102]~P109(x61022)+E(f326(f326(f148(x61021,x61022,x61023),x61024),f113(x61021)),f326(f326(f151(x61021),x61024),f113(x61021)))
% 178.51/178.25 [6463]~E(x64631,f188(f922(x64632,a910)))+~P106(f326(f62(x64632,x64633,x64631),x64634))
% 178.51/178.25 [6485]~P58(x64851,x64853,x64854,x64852)+P106(f326(f61(x64851),x64852))
% 178.51/178.25 [6487]~P58(x64871,x64873,x64872,x64874)+P106(f326(f61(x64871),x64872))
% 178.51/178.25 [6494]~P58(x64942,x64943,x64944,x64941)+~E(x64941,f188(f922(x64942,a910)))
% 178.51/178.25 [6527]~P110(x65271)+E(f326(f326(f101(f922(x65271,a910)),f326(f301(x65271,x65272),x65273)),f302(x65271,x65273,x65274)),f188(f922(x65271,a910)))
% 178.51/178.25 [6555]~P106(f326(f326(x65553,x65554),x65552))+P106(f326(f326(f328(x65551),x65552),f292(x65551,x65553,x65554)))
% 178.51/178.25 [6556]~P106(f326(f326(x65563,x65564),x65562))+P106(f326(f326(f328(x65561),x65562),f293(x65561,x65563,x65564)))
% 178.51/178.25 [6557]~P106(f326(f326(x65573,x65572),x65574))+P106(f326(f326(f328(x65571),x65572),f294(x65571,x65573,x65574)))
% 178.51/178.25 [6558]~P106(f326(f326(x65583,x65582),x65584))+P106(f326(f326(f328(x65581),x65582),f297(x65581,x65583,x65584)))
% 178.51/178.25 [6700]~P110(x67001)+E(f326(f326(f101(f922(x67001,a910)),f302(x67001,x67002,x67003)),f305(x67001,x67003,x67004)),f188(f922(x67001,a910)))
% 178.51/178.25 [6701]~P110(x67011)+E(f326(f326(f101(f922(x67011,a910)),f302(x67011,x67012,x67013)),f304(x67011,x67013,x67014)),f188(f922(x67011,a910)))
% 178.51/178.25 [6702]~P110(x67021)+E(f326(f326(f101(f922(x67021,a910)),f305(x67021,x67022,x67023)),f302(x67021,x67023,x67024)),f188(f922(x67021,a910)))
% 178.51/178.25 [6703]~P110(x67031)+E(f326(f326(f101(f922(x67031,a910)),f304(x67031,x67032,x67033)),f305(x67031,x67033,x67034)),f188(f922(x67031,a910)))
% 178.51/178.25 [6704]~P110(x67041)+E(f326(f326(f101(f922(x67041,a910)),f304(x67041,x67042,x67043)),f304(x67041,x67043,x67044)),f188(f922(x67041,a910)))
% 178.51/178.25 [6741]P106(f326(f326(x67411,x67412),f563(x67412,x67411)))+~P106(f326(f248(x67413,x67414,x67411),x67412))
% 178.51/178.25 [6820]~P109(x68202)+E(f326(f172(x68201),f150(x68201,x68202,x68203,x68204)),f326(f172(x68201),x68204))
% 178.51/178.25 [6872]~P144(x68721)+E(f190(x68721,x68722,f326(a112,x68723),x68724),f190(x68721,x68722,x68723,f326(x68722,x68724)))
% 178.51/178.25 [6934]~P106(f326(f326(f328(x69344),x69343),f292(x69344,x69341,x69342)))+P106(f326(f326(x69341,x69342),x69343))
% 178.51/178.25 [6935]~P106(f326(f326(f328(x69354),x69353),f293(x69354,x69351,x69352)))+P106(f326(f326(x69351,x69352),x69353))
% 178.51/178.25 [6936]~P106(f326(f326(f328(x69364),x69362),f294(x69364,x69361,x69363)))+P106(f326(f326(x69361,x69362),x69363))
% 178.51/178.25 [6937]~P106(f326(f326(f328(x69374),x69372),f297(x69374,x69371,x69373)))+P106(f326(f326(x69371,x69372),x69373))
% 178.51/178.25 [7013]E(f326(f35(f920(x70131,x70132)),f312(x70131,x70132,x70133,x70134)),f2(a914))+P106(f326(f61(x70132),x70134))
% 178.51/178.25 [7014]E(f326(f35(f920(x70141,x70142)),f312(x70141,x70142,x70143,x70144)),f2(a914))+P106(f326(f61(x70141),x70143))
% 178.51/178.25 [7215]~P13(x72154,x72151,x72152)+E(f326(f72(x72151,x72151,x72151,f326(x72152,x72153)),f326(x72152,x72153)),f326(x72152,x72153))
% 178.51/178.25 [7456]E(f276(x74561,x74562,x74563,x74564),f326(f251(f922(a99,f922(a910,f918(f916(x74561)))),f921(a99,a99)),f41(x74561)))+~P106(f326(f326(f234(a99),x74563),f2(a99)))
% 178.51/178.25 [8086]~E(x80862,x80863)+P106(f326(f326(f328(f921(x80861,x80861)),f326(f326(f251(x80861,x80861),x80862),x80863)),f306(x80861,x80864)))
% 178.51/178.25 [8115]~P24(x81151,x81152,x81153,f241(f922(x81151,a910)))+E(f326(f76(x81151,x81152,f241(f922(x81151,a910)),x81153),f326(x81153,x81154)),x81154)
% 178.51/178.25 [8116]~P24(x81161,x81162,x81163,f241(f922(x81161,a910)))+E(f326(f91(x81161,x81162,f241(f922(x81161,a910)),x81163),f326(x81163,x81164)),x81164)
% 178.51/178.25 [8203]~P106(f326(f326(f328(f915(x82031)),f326(f326(f151(x82031),x82034),x82032)),f161(x82031,x82033)))+P106(f326(f326(f328(f915(x82031)),x82032),f161(x82031,x82033)))
% 178.51/178.25 [8204]~P106(f326(f326(f328(f915(x82041)),f326(f326(f134(x82041),x82044),x82042)),f161(x82041,x82043)))+P106(f326(f326(f328(f915(x82041)),x82042),f161(x82041,x82043)))
% 178.51/178.25 [8205]~P106(f326(f326(f328(f915(x82051)),f326(f326(f134(x82051),x82052),x82054)),f161(x82051,x82053)))+P106(f326(f326(f328(f915(x82051)),x82052),f161(x82051,x82053)))
% 178.51/178.25 [8216]~P109(x82161)+P12(x82161,f326(f326(f154(x82162,x82161),x82163),f150(x82162,x82161,x82163,x82164)))
% 178.51/178.25 [8315]P24(x83154,x83153,x83151,x83152)+E(f326(x83151,f513(x83152,x83151,x83153,x83154)),f326(x83151,f520(x83152,x83151,x83153,x83154)))
% 178.51/178.25 [8421]~P24(x84212,x84211,x84214,x84213)+P24(x84211,x84212,f76(x84212,x84211,x84213,x84214),f326(f309(x84212,x84211,x84214),x84213))
% 178.51/178.25 [8561]P37(f921(x85612,x85614),f279(x85612,x85614,x85611,x85613))+P106(f326(x85611,f568(x85612,x85613,x85614,x85611)))
% 178.51/178.25 [8674]E(x86741,x86742)+~P106(f326(f326(f328(f921(x86743,x86743)),f326(f326(f251(x86743,x86743),x86741),x86742)),f262(x86743,x86744)))
% 178.51/178.25 [8737]~P106(f326(f61(f920(x87373,x87371)),f312(x87373,x87371,x87374,x87372)))+P106(f326(f61(x87371),x87372))
% 178.51/178.25 [8738]~P106(f326(f61(f920(x87381,x87383)),f312(x87381,x87383,x87382,x87384)))+P106(f326(f61(x87381),x87382))
% 178.51/178.25 [8747]~P24(x87471,x87472,x87473,x87474)+P25(x87471,x87472,x87473,x87474,f326(f309(x87471,x87472,x87473),x87474))
% 178.51/178.25 [8748]P10(x87481,x87482,x87483,x87484)+~E(f326(x87484,f830(x87482,x87484,x87483,x87481)),f326(x87484,f831(x87482,x87484,x87483,x87481)))
% 178.51/178.25 [8838]~P25(x88382,x88383,x88384,x88381,f188(f922(x88383,a910)))+E(x88381,f188(f922(x88382,a910)))
% 178.51/178.25 [8839]~P25(x88393,x88392,x88394,f188(f922(x88393,a910)),x88391)+E(x88391,f188(f922(x88392,a910)))
% 178.51/178.25 [8931]P37(f921(x89311,x89312),f279(x89311,x89312,x89313,x89314))+~P37(x89312,f326(x89314,f568(x89311,x89314,x89312,x89313)))
% 178.51/178.25 [9494]E(f326(f326(f159(x94941,x94942),f669(x94943,x94944,x94942,x94941)),f670(x94943,x94944,x94942,x94941)),x94944)+~P106(f326(f326(f328(f921(f915(x94941),f915(x94941))),f326(f326(f251(f915(x94941),f915(x94941)),x94942),x94944)),f157(x94941,x94943)))
% 178.51/178.25 [9499]~P106(f326(f326(f328(f921(f915(x94991),f915(x94991))),f326(f326(f251(f915(x94991),f915(x94991)),x94992),x94993)),f145(x94991,x94994)))+P106(f326(f326(f328(f921(f915(x94991),f915(x94991))),f326(f326(f251(f915(x94991),f915(x94991)),x94992),x94993)),f147(x94991,x94994)))
% 178.51/178.25 [9609]P106(f326(f61(x96091),x96092))+~P106(f326(f326(f328(f921(f922(x96091,a910),f922(x96091,a910))),f326(f326(f251(f922(x96091,a910),f922(x96091,a910)),x96093),x96092)),f318(x96091,x96094)))
% 178.51/178.25 [9610]P106(f326(f61(x96101),x96102))+~P106(f326(f326(f328(f921(f922(x96101,a910),f922(x96101,a910))),f326(f326(f251(f922(x96101,a910),f922(x96101,a910)),x96102),x96103)),f318(x96101,x96104)))
% 178.51/178.25 [9613]~E(x96131,f188(f922(x96132,a910)))+~P106(f326(f326(f328(f921(f922(x96132,a910),f922(x96132,a910))),f326(f326(f251(f922(x96132,a910),f922(x96132,a910)),x96133),x96131)),f318(x96132,x96134)))
% 178.51/178.25 [10245]P10(x102451,x102452,x102453,x102454)+~P106(f326(f326(f256(x102451,x102451,a910),f326(f326(f9(x102451,f922(x102451,x102452),f922(x102451,a910)),f326(f326(f10(f922(x102452,a910),f922(f922(x102451,x102452),f922(x102451,a910)),x102451),f10(x102452,a910,x102451)),f326(f326(f10(x102452,f922(x102452,a910),x102451),a323),x102454))),x102454)),f578(x102454,x102453,x102452,x102451)))
% 178.51/178.25 [5139]~E(x51392,f113(x51391))+E(f326(f326(f159(x51391,x51392),x51393),x51394),f113(x51391))
% 178.51/178.25 [5140]~E(x51404,f113(x51401))+E(f326(f326(f154(x51401,x51402),x51403),x51404),f113(x51402))
% 178.51/178.25 [5375]E(x53751,f113(x53752))+~E(f326(f326(f154(x53752,x53753),x53754),x53751),f113(x53753))
% 178.51/178.25 [5376]E(x53761,f113(x53762))+~E(f326(f326(f159(x53762,x53761),x53763),x53764),f113(x53762))
% 178.51/178.25 [5414]E(x54141,x54142)+~E(f326(f326(f134(x54143),x54144),x54141),f326(f326(f134(x54143),x54144),x54142))
% 178.51/178.25 [5415]E(x54151,x54152)+~E(f326(f326(f134(x54153),x54151),x54154),f326(f326(f134(x54153),x54152),x54154))
% 178.51/178.25 [5567]P106(f326(x55673,x55672))+E(f170(x55671,x55672,f326(f136(x55671,x55673),x55674)),f326(f136(x55671,x55673),x55674))
% 178.51/178.25 [5569]~P106(f326(x55692,x55693))+P33(x55691,x55692,f326(f326(f151(x55691),x55693),x55694))
% 178.51/178.25 [5578]E(x55781,x55782)+~E(f139(a914,f326(f301(a914,x55781),x55783)),f326(f326(f151(a914),x55782),x55784))
% 178.51/178.25 [5626]~P26(x56262,x56263)+P26(x56261,f326(f326(f73(x56262,x56261),x56263),x56264))
% 178.51/178.25 [5627]~P37(x56272,x56273)+P37(x56271,f326(f326(f287(x56272,x56271),x56273),x56274))
% 178.51/178.25 [5628]~P38(x56282,x56283)+P38(x56281,f326(f326(f287(x56282,x56281),x56283),x56284))
% 178.51/178.25 [5629]~P51(x56292,x56293)+P51(x56291,f326(f326(f287(x56292,x56291),x56293),x56294))
% 178.51/178.25 [5758]~P33(x57581,x57582,x57584)+P33(x57581,x57582,f326(f326(f151(x57581),x57583),x57584))
% 178.51/178.25 [5759]~P33(x57591,x57592,x57594)+P33(x57591,x57592,f326(f326(f134(x57591),x57593),x57594))
% 178.51/178.25 [5760]~P33(x57601,x57602,x57603)+P33(x57601,x57602,f326(f326(f134(x57601),x57603),x57604))
% 178.51/178.25 [5846]~E(x58461,f113(x58462))+~E(f326(f326(f134(x58462),x58463),f326(f326(f151(x58462),x58464),f113(x58462))),x58461)
% 178.51/178.25 [5871]~P31(x58713,x58711,f326(f326(f151(x58713),x58712),x58714))+P106(f326(x58711,x58712))
% 178.51/178.25 [5881]E(f114(x58811,x58812),x58813)+~E(f326(f326(f134(x58811),x58813),f326(f326(f151(x58811),x58814),f113(x58811))),x58812)
% 178.51/178.25 [5882]E(f144(x58821,x58822),x58823)+~E(f326(f326(f134(x58821),x58824),f326(f326(f151(x58821),x58823),f113(x58821))),x58822)
% 178.51/178.25 [5992]~E(f139(a914,f326(f301(a914,x59921),x59922)),f326(f326(f151(a914),x59923),x59924))+P106(f326(f326(f235(a914),x59921),x59922))
% 178.51/178.25 [6010]P31(x60101,x60102,x60103)+~P31(x60101,x60102,f326(f326(f151(x60101),x60104),x60103))
% 178.51/178.25 [6011]P31(x60111,x60112,x60113)+~P31(x60111,x60112,f326(f326(f134(x60111),x60114),x60113))
% 178.51/178.25 [6012]P31(x60121,x60122,x60123)+~P31(x60121,x60122,f326(f326(f134(x60121),x60123),x60124))
% 178.51/178.25 [6203]E(x62031,f326(f326(f134(x62032),f326(f168(x62032),x62033)),f326(f326(f151(x62032),x62034),f113(x62032))))+~E(f326(f168(x62032),x62031),f326(f326(f151(x62032),x62034),x62033))
% 178.51/178.25 [6383]~P110(x63831)+E(f326(f326(f101(f922(x63831,a910)),f326(f301(x63831,x63832),x63833)),f326(f301(x63831,x63833),x63834)),f188(f922(x63831,a910)))
% 178.51/178.25 [6394]E(f326(f326(f164(x63941),f169(x63941,x63942,x63943)),x63944),x63943)+~P106(f326(f326(f235(a914),x63944),x63942))
% 178.51/178.25 [6421]~P70(x64211)+E(f326(f165(x64211),f326(f326(f154(a1,x64211),x64212),f178(x64213,x64214))),f326(f326(f8(a1,x64211),x64212),f326(f172(a1),f178(x64213,x64214))))
% 178.51/178.25 [6422]~P70(x64221)+E(f326(f326(f8(a1,x64221),x64222),f326(f172(a1),f178(x64223,x64224))),f326(f165(x64221),f326(f326(f154(a1,x64221),x64222),f178(x64223,x64224))))
% 178.51/178.25 [6568]~E(x65682,f326(f326(f134(x65681),f326(f168(x65681),x65684)),f326(f326(f151(x65681),x65683),f113(x65681))))+E(f326(f168(x65681),x65682),f326(f326(f151(x65681),x65683),x65684))
% 178.51/178.25 [6584]~P18(x65842,x65843,x65844,x65841)+E(f326(x65841,f188(f922(x65842,a910))),f31(x65843))
% 178.51/178.25 [6611]~P110(x66111)+E(f326(f326(f101(f922(x66111,a910)),f305(x66111,x66112,x66113)),f326(f301(x66111,x66113),x66114)),f188(f922(x66111,a910)))
% 178.51/178.25 [6823]E(x68231,f188(f922(x68232,a910)))+~E(f312(x68233,x68232,x68234,x68231),f188(f922(f920(x68233,x68232),a910)))
% 178.51/178.25 [6824]E(x68241,f188(f922(x68242,a910)))+~E(f312(x68242,x68243,x68241,x68244),f188(f922(f920(x68242,x68243),a910)))
% 178.51/178.25 [6893]~P109(x68932)+E(f326(f189(f915(x68931)),f150(x68931,x68932,x68933,x68934)),f326(f189(f915(x68931)),x68934))
% 178.51/178.25 [6904]~P106(f326(f249(x69043,x69044,x69041),x69042))+P106(f326(f326(x69041,f541(x69042,x69041)),x69042))
% 178.51/178.25 [6947]~P106(f326(f61(x69472),x69474))+P106(f326(f61(x69471),f326(f309(x69472,x69471,x69473),x69474)))
% 178.51/178.25 [7175]~P24(x71752,x71751,x71753,x71754)+E(f326(f35(x71751),f326(f309(x71752,x71751,x71753),x71754)),f326(f35(x71752),x71754))
% 178.51/178.25 [7193]E(f326(f309(x71931,x71932,x71933),f326(f310(x71931,x71932,x71933),x71934)),x71934)+~E(f326(f309(x71931,x71932,x71933),f241(f922(x71931,a910))),f241(f922(x71932,a910)))
% 178.51/178.25 [7607]~P24(x76071,x76072,x76073,f241(f922(x76071,a910)))+E(f326(f310(x76071,x76072,x76073),f326(f309(x76071,x76072,x76073),x76074)),x76074)
% 178.51/178.25 [7884]E(x78841,x78842)+~P106(f326(f326(f328(x78843),x78841),f326(f172(x78843),f169(x78843,x78844,x78842))))
% 178.51/178.25 [7893]~E(x78931,f2(a914))+~P106(f326(f326(f328(x78932),x78933),f326(f172(x78932),f169(x78932,x78931,x78934))))
% 178.51/178.25 [7926]P106(f326(x79261,x79262))+~P106(f326(f326(f328(x79263),x79262),f326(f172(x79263),f177(x79263,x79261,x79264))))
% 178.51/178.25 [8033]~P106(f326(f326(f328(f915(x80331)),f326(f326(f151(x80331),x80332),x80334)),f161(x80331,x80333)))+P106(f326(f326(f328(x80331),x80332),x80333))
% 178.51/178.25 [8160]~P106(f326(f326(f328(x81601),x81602),f326(f172(x81601),f176(x81601,x81603,x81604))))+P106(f326(f326(f328(x81601),x81602),f326(f172(x81601),x81603)))
% 178.51/178.25 [8161]~P106(f326(f326(f328(x81611),x81612),f326(f172(x81611),f170(x81611,x81614,x81613))))+P106(f326(f326(f328(x81611),x81612),f326(f172(x81611),x81613)))
% 178.51/178.25 [8162]~P106(f326(f326(f328(x81621),x81622),f326(f172(x81621),f177(x81621,x81624,x81623))))+P106(f326(f326(f328(x81621),x81622),f326(f172(x81621),x81623)))
% 178.51/178.25 [8172]E(f326(f189(f915(x81721)),x81722),x81723)+~P106(f326(f326(f328(f915(x81721)),x81722),f326(f172(f915(x81721)),f55(x81721,x81723,x81724))))
% 178.51/178.25 [8267]P106(f326(x82673,x82672))+E(f326(f136(x82671,f326(f326(f10(a910,a910,x82671),a321),f326(a323,x82672))),f326(f136(x82671,x82673),x82674)),f326(f136(x82671,x82673),x82674))
% 178.51/178.25 [8373]E(f326(f326(f164(x83731),f177(x83731,x83732,x83733)),x83734),f326(f326(f164(x83731),x83733),x83734))+~P106(f326(f326(f235(a914),x83734),f326(f189(f915(x83731)),f177(x83731,x83732,x83733))))
% 178.51/178.25 [8459]~P70(x84591)+E(f326(f326(f8(a914,x84591),f326(f326(f10(a914,x84591,a914),x84592),a112)),f326(f301(a914,x84593),x84594)),f326(f326(f8(a914,x84591),x84592),f326(f301(a914,f326(a112,x84593)),f326(a112,x84594))))
% 178.51/178.25 [8468]~P70(x84681)+E(f326(f326(f8(a914,x84681),f326(f326(f10(a914,x84681,a914),x84682),a112)),f302(a914,x84683,x84684)),f326(f326(f8(a914,x84681),x84682),f302(a914,f326(a112,x84683),f326(a112,x84684))))
% 178.51/178.25 [8595]~P24(x85951,x85953,x85954,f241(f922(x85951,a910)))+P24(x85951,f922(x85952,x85953),f326(f326(f10(x85953,f922(x85952,x85953),x85951),f18(x85953,x85952)),x85954),f241(f922(x85951,a910)))
% 178.51/178.25 [8679]~P24(x86792,x86791,x86794,x86793)+E(f326(f309(x86791,x86792,f76(x86792,x86791,x86793,x86794)),f326(f309(x86792,x86791,x86794),x86793)),x86793)
% 178.51/178.25 [8739]~P106(f326(f326(f328(f921(x87391,x87391)),f326(f326(f251(x87391,x87391),x87392),x87394)),f262(x87391,x87393)))+P106(f326(f326(f328(x87391),x87392),x87393))
% 178.51/178.25 [8862]~P24(x88622,x88621,x88623,f241(f922(x88622,a910)))+E(f326(f309(x88621,x88622,f91(x88622,x88621,f241(f922(x88622,a910)),x88623)),f326(f309(x88622,x88621,x88623),x88624)),x88624)
% 178.51/178.25 [8937]~P25(x89371,x89372,x89373,x89374,f241(f922(x89372,a910)))+E(f326(f309(x89371,x89372,x89373),f241(f922(x89371,a910))),f241(f922(x89372,a910)))
% 178.51/178.25 [8970]~E(f326(f326(f8(x89701,a914),x89704),x89703),f326(a112,x89702))+P106(f326(f326(f328(x89701),f897(x89702,x89703,x89704,x89701)),x89703))
% 178.51/178.25 [8991]~E(f326(f326(f8(x89914,a914),x89911),x89913),f326(a112,x89912))+P106(f326(f326(f235(a914),f2(a914)),f326(x89911,f897(x89912,x89913,x89911,x89914))))
% 178.51/178.25 [9002]~P106(f326(f61(x90022),x90024))+P106(f326(f326(f234(a914),f326(f35(x90021),f326(f309(x90022,x90021,x90023),x90024))),f326(f35(x90022),x90024)))
% 178.51/178.25 [9003]E(f326(f326(f251(x90031,x90032),f640(x90033,x90034,x90032,x90031)),f641(x90033,x90034,x90032,x90031)),x90034)+~P106(f326(f326(f328(f921(x90031,x90032)),x90034),f326(f285(x90032,x90031),x90033)))
% 178.51/178.25 [9011]P24(x90111,x90112,x90113,x90114)+P106(f326(f326(f328(x90111),f513(x90114,x90113,x90112,x90111)),x90114))
% 178.51/178.25 [9012]P24(x90121,x90122,x90123,x90124)+P106(f326(f326(f328(x90121),f520(x90124,x90123,x90122,x90121)),x90124))
% 178.51/178.25 [9080]P10(x90801,x90802,x90803,x90804)+P106(f326(f326(f328(f921(x90801,x90801)),f578(x90804,x90803,x90802,x90801)),x90803))
% 178.51/178.25 [9134]P106(f326(x91341,x91342))+~P106(f326(x91341,f326(f326(f251(x91343,x91344),f394(x91344,x91343,x91341)),f395(x91344,x91343,x91341))))
% 178.51/178.25 [9151]E(f326(f189(f915(x91511)),x91512),f326(f189(f915(x91511)),x91513))+~P106(f326(f326(f328(f921(f915(x91511),f915(x91511))),f326(f326(f251(f915(x91511),f915(x91511)),x91512),x91513)),f145(x91511,x91514)))
% 178.51/178.25 [9152]E(f326(f189(f915(x91521)),x91522),f326(f189(f915(x91521)),x91523))+~P106(f326(f326(f328(f921(f915(x91521),f915(x91521))),f326(f326(f251(f915(x91521),f915(x91521)),x91522),x91523)),f157(x91521,x91524)))
% 178.51/178.25 [9155]E(f326(f189(f915(x91551)),x91552),f326(f189(f915(x91551)),x91553))+~P106(f326(f326(f328(f921(f915(x91551),f915(x91551))),f326(f326(f251(f915(x91551),f915(x91551)),x91552),x91553)),f158(x91551,x91554)))
% 178.51/178.25 [9224]P106(f326(f326(f234(a914),f155(x92241,x92242,x92243)),f155(x92241,x92244,x92243)))+P106(f326(f326(f328(x92241),f668(x92244,x92242,x92243,x92241)),f326(f172(x92241),x92243)))
% 178.51/178.25 [9227]E(f326(f189(f915(x92271)),x92272),f326(f189(f915(x92271)),x92273))+~P106(f326(f326(f328(f921(f915(x92271),f915(x92271))),f326(f326(f251(f915(x92271),f915(x92271)),x92272),x92273)),f306(f915(x92271),f157(x92271,x92274))))
% 178.51/178.25 [9345]P106(f326(f326(f286(a914),x93451),x93452))+P106(f326(f326(f234(f922(a914,a910)),f295(a914,f286(a914),x93451,x93452)),f295(a914,f286(a914),x93453,x93454)))
% 178.51/178.25 [9465]~P24(x94651,x94652,x94653,x94654)+~P106(f326(f326(f235(a914),f326(f35(x94652),f326(f309(x94651,x94652,x94653),x94654))),f326(f35(x94651),x94654)))
% 178.51/178.25 [9512]~P106(f326(f326(f328(f921(f915(x95121),f915(x95121))),f326(f326(f251(f915(x95121),f915(x95121)),x95122),x95123)),f157(x95121,x95124)))+P106(f326(f326(f328(f921(f915(x95121),f915(x95121))),f326(f326(f251(f915(x95121),f915(x95121)),x95122),x95123)),f158(x95121,f306(x95121,x95124))))
% 178.51/178.25 [9516]~P106(f326(f326(f328(f921(f915(x95161),f915(x95161))),f326(f326(f251(f915(x95161),f915(x95161)),x95162),x95163)),f158(x95161,x95164)))+P106(f326(f326(f328(f921(f915(x95161),f915(x95161))),f326(f326(f251(f915(x95161),f915(x95161)),x95162),x95163)),f306(f915(x95161),f157(x95161,x95164))))
% 178.51/178.25 [9532]P106(f326(f326(f328(f921(x95321,x95321)),f326(f326(f251(x95321,x95321),x95322),x95323)),f306(x95321,x95324)))+~P106(f326(f326(f328(f921(x95321,x95321)),f326(f326(f251(x95321,x95321),x95322),x95323)),f326(f326(f288(x95321,x95321,x95321),x95324),f306(x95321,x95324))))
% 178.51/178.25 [9604]P106(f326(f326(f286(a914),x96041),x96042))+~P106(f326(f326(f235(f922(a914,a910)),f295(a914,f286(a914),x96043,x96044)),f295(a914,f286(a914),x96041,x96042)))
% 178.51/178.25 [9727]E(f326(f326(f134(x97271),f684(x97272,x97273,x97274,x97271)),f326(f326(f151(x97271),f685(x97272,x97273,x97274,x97271)),f687(x97272,x97273,x97274,x97271))),x97274)+~P106(f326(f326(f328(f921(f915(x97271),f915(x97271))),f326(f326(f251(f915(x97271),f915(x97271)),x97274),x97273)),f157(x97271,x97272)))
% 178.51/178.25 [9728]E(f326(f326(f134(x97281),f684(x97282,x97283,x97284,x97281)),f326(f326(f151(x97281),f686(x97282,x97283,x97284,x97281)),f687(x97282,x97283,x97284,x97281))),x97283)+~P106(f326(f326(f328(f921(f915(x97281),f915(x97281))),f326(f326(f251(f915(x97281),f915(x97281)),x97284),x97283)),f157(x97281,x97282)))
% 178.51/178.25 [9806]P106(f326(f326(f328(f921(x98061,x98061)),f326(f326(f251(x98061,x98061),x98062),f639(x98063,x98064,x98062,x98061))),f306(x98061,x98063)))+~P106(f326(f326(f328(f921(x98061,x98061)),f326(f326(f251(x98061,x98061),x98062),x98064)),f326(f326(f288(x98061,x98061,x98061),x98063),f306(x98061,x98063))))
% 178.51/178.25 [9874]P106(f326(f326(f234(a914),f155(x98741,x98742,x98743)),f155(x98741,x98744,x98743)))+~P106(f326(f326(f235(a914),f326(x98742,f668(x98744,x98742,x98743,x98741))),f326(x98744,f668(x98744,x98742,x98743,x98741))))
% 178.51/178.25 [9945]P106(f326(f326(f328(f921(x99451,x99451)),f326(f326(f251(x99451,x99451),f630(x99452,x99453,x99454,x99451)),x99453)),f306(x99451,x99452)))+~P106(f326(f326(f328(f921(x99451,x99451)),f326(f326(f251(x99451,x99451),x99454),x99453)),f326(f326(f288(x99451,x99451,x99451),x99452),f306(x99451,x99452))))
% 178.51/178.25 [5395]~E(x53952,x53953)+E(f170(x53951,x53952,f326(f326(f151(x53951),x53953),x53954)),x53954)
% 178.51/178.25 [5523]P106(f326(x55232,x55233))+E(f177(x55231,x55232,f326(f326(f151(x55231),x55233),x55234)),f113(x55231))
% 178.51/178.25 [5590]~P90(x55902)+E(f326(f326(f78(f922(x55901,x55902)),x55903),x55904),f326(f78(x55902),f326(x55903,x55904)))
% 178.51/178.25 [5603]~E(x56032,f2(a914))+E(f326(f326(f138(x56031),x56032),f326(f326(f151(x56031),x56033),x56034)),f326(f326(f151(x56031),x56033),x56034))
% 178.51/178.25 [5604]P106(f326(x56042,x56043))+E(f326(f136(x56041,x56042),f326(f326(f151(x56041),x56043),x56044)),f326(f136(x56041,x56042),x56044))
% 178.51/178.25 [5741]~E(x57412,x57414)+P106(f326(f326(f326(f308(x57411),x57412),x57413),x57414))
% 178.51/178.25 [5749]E(x57491,f113(x57492))+E(f144(x57493,f326(f326(f154(x57492,x57493),x57494),x57491)),f326(x57494,f144(x57492,x57491)))
% 178.51/178.25 [5763]~E(x57631,f63(x57632,x57634))+E(f326(x57631,f326(f326(f308(x57632),x57633),f188(f922(x57632,a910)))),x57633)
% 178.51/178.25 [5798]E(x57981,f113(x57982))+E(f326(f141(x57983),f326(f326(f154(x57982,x57983),x57984),x57981)),f326(x57984,f326(f141(x57982),x57981)))
% 178.51/178.25 [5901]~P106(f326(x59013,x59014))+P106(f326(f326(f326(f308(x59011),x59012),x59013),x59014))
% 178.51/178.25 [6029]~P17(x60292,x60294,x60291)+E(f326(x60291,f326(f326(f308(x60292),x60293),f188(f922(x60292,a910)))),x60293)
% 178.51/178.25 [6055]~E(x60552,x60553)+P106(f326(f326(f328(x60551),x60552),f326(f326(f308(x60551),x60553),x60554)))
% 178.51/178.25 [6060]~P78(x60601)+E(f326(f326(f110(x60601),x60602),f326(f326(f110(x60601),x60603),x60604)),f326(f326(f110(x60601),x60603),f326(f326(f110(x60601),x60602),x60604)))
% 178.51/178.25 [6062]~P101(x60621)+E(f326(f326(f110(x60621),x60622),f326(f326(f110(x60621),x60623),x60624)),f326(f326(f110(x60621),x60623),f326(f326(f110(x60621),x60622),x60624)))
% 178.51/178.25 [6063]~P113(x60631)+E(f326(f326(f80(x60631),x60632),f326(f326(f80(x60631),x60633),x60634)),f326(f326(f80(x60631),x60633),f326(f326(f80(x60631),x60632),x60634)))
% 178.51/178.25 [6064]~P78(x60641)+E(f326(f326(f101(x60641),x60642),f326(f326(f101(x60641),x60643),x60644)),f326(f326(f101(x60641),x60643),f326(f326(f101(x60641),x60642),x60644)))
% 178.51/178.25 [6066]~P102(x60661)+E(f326(f326(f101(x60661),x60662),f326(f326(f101(x60661),x60663),x60664)),f326(f326(f101(x60661),x60663),f326(f326(f101(x60661),x60662),x60664)))
% 178.51/178.25 [6067]~P113(x60671)+E(f326(f326(f79(x60671),x60672),f326(f326(f79(x60671),x60673),x60674)),f326(f326(f79(x60671),x60673),f326(f326(f79(x60671),x60672),x60674)))
% 178.51/178.25 [6069]~P109(x60691)+E(f326(f326(f232(x60691),x60692),f326(f326(f232(x60691),x60693),x60694)),f326(f326(f232(x60691),x60693),f326(f326(f232(x60691),x60692),x60694)))
% 178.51/178.25 [6071]~P109(x60711)+E(f326(f326(f233(x60711),x60712),f326(f326(f233(x60711),x60713),x60714)),f326(f326(f233(x60711),x60713),f326(f326(f233(x60711),x60712),x60714)))
% 178.51/178.25 [6076]E(x60761,x60762)+E(f170(x60763,x60761,f326(f326(f151(x60763),x60762),x60764)),f326(f326(f151(x60763),x60762),f170(x60763,x60761,x60764)))
% 178.51/178.25 [6089]~P106(f326(x60892,x60893))+E(f326(f136(x60891,x60892),f326(f326(f151(x60891),x60893),x60894)),f326(f326(f151(x60891),x60893),f326(f136(x60891,x60892),x60894)))
% 178.51/178.25 [6224]~P106(f326(x62242,x62243))+E(f177(x62241,x62242,f326(f326(f151(x62241),x62243),x62244)),f326(f326(f151(x62241),x62243),f177(x62241,x62242,x62244)))
% 178.51/178.25 [6274]P23(x62741,x62742,x62743)+~P23(x62741,x62742,f326(f326(f308(f913(x62741)),x62744),x62743))
% 178.51/178.25 [6290]E(x62901,f188(f922(x62902,a910)))+E(f326(f326(f39(x62902,f922(x62903,a910)),x62901),f326(f18(f922(x62903,a910),x62902),x62904)),x62904)
% 178.51/178.25 [6291]E(x62911,f188(f922(x62912,a910)))+E(f326(f326(f40(x62912,f922(x62913,a910)),x62911),f326(f18(f922(x62913,a910),x62912),x62914)),x62914)
% 178.51/178.25 [6300]~E(x63004,f188(f922(x63002,a910)))+E(f326(f326(f253(x63001,x63002),x63003),f326(f18(f922(x63002,a910),x63001),x63004)),f188(f922(f921(x63001,x63002),a910)))
% 178.51/178.25 [6301]~E(x63013,f188(f922(x63011,a910)))+E(f326(f326(f253(x63011,x63012),x63013),f326(f18(f922(x63012,a910),x63011),x63014)),f188(f922(f921(x63011,x63012),a910)))
% 178.51/178.25 [6355]E(x63551,f2(a914))+E(f326(f326(f138(x63552),x63551),f326(f326(f151(x63552),x63553),x63554)),f326(f326(f138(x63552),f326(f326(f3(a914),x63551),f77(a914))),x63554))
% 178.51/178.25 [6376]E(x63761,f188(f922(x63762,a910)))+E(f326(f309(x63762,x63763,f326(f18(x63763,x63762),x63764)),x63761),f326(f326(f308(x63763),x63764),f188(f922(x63763,a910))))
% 178.51/178.25 [6379]E(f326(f310(x63791,x63792,f326(f18(x63792,x63791),x63793)),x63794),f188(f922(x63791,a910)))+P106(f326(f326(f328(x63792),x63793),x63794))
% 178.51/178.25 [6446]~E(x64463,f188(f922(x64461,a910)))+E(f326(f326(f39(x64461,f922(x64462,a910)),x64463),f326(f18(f922(x64462,a910),x64461),x64464)),f241(f922(x64462,a910)))
% 178.51/178.25 [6447]~E(x64473,f188(f922(x64471,a910)))+E(f326(f326(f40(x64471,f922(x64472,a910)),x64473),f326(f18(f922(x64472,a910),x64471),x64474)),f188(f922(x64472,a910)))
% 178.51/178.25 [6449]~P60(x64491)+E(f45(x64491,f326(f326(f80(x64491),x64492),x64493),f326(f326(f80(x64491),x64492),x64494)),f326(f326(f80(x64491),x64492),f45(x64491,x64493,x64494)))
% 178.51/178.25 [6621]E(f326(f310(x66211,x66212,f326(f18(x66212,x66211),x66213)),x66214),f241(f922(x66211,a910)))+~P106(f326(f326(f328(x66212),x66213),x66214))
% 178.51/178.25 [6644]~P106(f326(f326(f328(x66441),x66442),x66444))+P106(f326(f326(f328(x66441),x66442),f326(f326(f308(x66441),x66443),x66444)))
% 178.51/178.25 [6649]P106(f326(x66491,x66492))+~P106(f326(f160(x66493,x66491),f326(f326(f151(x66493),x66492),x66494)))
% 178.51/178.25 [6658]~E(x66583,f326(f326(f3(a914),f326(f189(f915(x66581)),x66582)),f77(a914)))+E(f114(x66581,f326(f326(f159(x66581,x66582),x66583),x66584)),f114(x66581,x66582))
% 178.51/178.25 [6678]~P109(x66781)+E(f326(f326(f101(f922(x66781,a910)),f326(f300(x66781),x66782)),f302(x66781,x66783,x66784)),f302(x66781,x66783,f326(f326(f232(x66781),x66782),x66784)))
% 178.51/178.25 [6679]~P109(x66791)+E(f326(f326(f101(f922(x66791,a910)),f326(f282(x66791),x66792)),f302(x66791,x66793,x66794)),f302(x66791,f326(f326(f233(x66791),x66792),x66793),x66794))
% 178.51/178.25 [6695]E(f326(f326(f101(f922(x66951,a910)),x66952),f326(f326(f308(x66951),x66953),x66954)),f326(f326(f101(f922(x66951,a910)),x66952),x66954))+P106(f326(f326(f328(x66951),x66953),x66952))
% 178.51/178.25 [6707]E(f170(x67071,x67072,f326(f326(f134(x67071),x67073),x67074)),f326(f326(f134(x67071),x67073),f170(x67071,x67072,x67074)))+P106(f326(f326(f328(x67071),x67072),f326(f172(x67071),x67073)))
% 178.51/178.25 [6712]~P82(x67121)+E(f326(f326(f80(x67121),f326(f326(f243(x67121),x67122),x67123)),f326(f326(f243(x67121),x67122),x67124)),f326(f326(f243(x67121),x67122),f326(f326(f79(a914),x67123),x67124)))
% 178.51/178.25 [6713]~P113(x67131)+E(f326(f326(f80(x67131),f326(f326(f243(x67131),x67132),x67133)),f326(f326(f243(x67131),x67132),x67134)),f326(f326(f243(x67131),x67132),f326(f326(f79(a914),x67133),x67134)))
% 178.51/178.25 [6749]~P99(x67491)+E(f326(f326(f101(x67491),f326(f326(f110(x67491),x67492),x67493)),f326(f326(f110(x67491),x67492),x67494)),f326(f326(f110(x67491),x67492),f326(f326(f101(x67491),x67493),x67494)))
% 178.51/178.25 [6750]~P113(x67501)+E(f326(f326(f79(x67501),f326(f326(f80(x67501),x67502),x67503)),f326(f326(f80(x67501),x67502),x67504)),f326(f326(f80(x67501),x67502),f326(f326(f79(x67501),x67503),x67504)))
% 178.51/178.25 [6751]~P99(x67511)+E(f326(f326(f110(x67511),f326(f326(f101(x67511),x67512),x67513)),f326(f326(f101(x67511),x67512),x67514)),f326(f326(f101(x67511),x67512),f326(f326(f110(x67511),x67513),x67514)))
% 178.51/178.25 [6752]~P109(x67521)+E(f326(f326(f233(x67521),f326(f326(f232(x67521),x67522),x67523)),f326(f326(f232(x67521),x67522),x67524)),f326(f326(f232(x67521),x67522),f326(f326(f233(x67521),x67523),x67524)))
% 178.51/178.25 [6753]~P109(x67531)+E(f326(f326(f232(x67531),f326(f326(f233(x67531),x67532),x67533)),f326(f326(f233(x67531),x67532),x67534)),f326(f326(f233(x67531),x67532),f326(f326(f232(x67531),x67533),x67534)))
% 178.51/178.25 [6786]~P60(x67861)+E(f45(x67861,f326(f326(f80(x67861),x67862),x67863),f326(f326(f80(x67861),x67864),x67863)),f326(f326(f80(x67861),f45(x67861,x67862,x67864)),x67863))
% 178.51/178.25 [6789]~E(f326(f189(f915(x67891)),x67893),f326(f189(f915(x67892)),x67894))+E(f326(f326(f154(f921(x67891,x67892),x67892),f255(x67891,x67892)),f326(f326(f181(x67891,x67892),x67893),x67894)),x67894)
% 178.51/178.25 [6790]~E(f326(f189(f915(x67901)),x67903),f326(f189(f915(x67902)),x67904))+E(f326(f326(f154(f921(x67901,x67902),x67901),f250(x67901,x67902)),f326(f326(f181(x67901,x67902),x67903),x67904)),x67903)
% 178.51/178.25 [6795]P106(f326(f160(x67951,x67952),x67953))+~P106(f326(f160(x67951,x67952),f326(f326(f151(x67951),x67954),x67953)))
% 178.51/178.25 [6796]P106(f326(f160(x67961,x67962),x67963))+~P106(f326(f160(x67961,x67962),f326(f326(f134(x67961),x67964),x67963)))
% 178.51/178.25 [6797]P106(f326(f160(x67971,x67972),x67973))+~P106(f326(f160(x67971,x67972),f326(f326(f134(x67971),x67973),x67974)))
% 178.51/178.25 [6802]~P61(x68021)+E(f45(x68021,f326(f326(f3(x68021),x68022),f45(x68021,x68023,x68024)),x68024),f45(x68021,f326(f326(f3(x68021),x68022),x68023),x68024))
% 178.51/178.25 [6803]~P60(x68031)+E(f45(x68031,f326(f326(f80(x68031),x68032),f45(x68031,x68033,x68034)),x68034),f45(x68031,f326(f326(f80(x68031),x68032),x68033),x68034))
% 178.51/178.25 [6805]~P60(x68051)+E(f45(x68051,f326(f326(f79(x68051),x68052),f45(x68051,x68053,x68054)),x68054),f45(x68051,f326(f326(f79(x68051),x68052),x68053),x68054))
% 178.51/178.25 [6885]~P109(x68851)+E(f326(f326(f101(f922(x68851,a910)),f302(x68851,x68852,x68853)),f326(f300(x68851),x68854)),f302(x68851,x68852,f326(f326(f232(x68851),x68853),x68854)))
% 178.51/178.25 [6886]~P109(x68861)+E(f326(f326(f101(f922(x68861,a910)),f302(x68861,x68862,x68863)),f326(f282(x68861),x68864)),f302(x68861,f326(f326(f233(x68861),x68862),x68864),x68863))
% 178.51/178.25 [6889]~E(f326(f189(f915(x68891)),x68893),f326(f189(f915(x68892)),x68894))+E(f326(f326(f181(x68891,x68892),f326(f168(x68891),x68893)),f326(f168(x68892),x68894)),f326(f168(f921(x68891,x68892)),f326(f326(f181(x68891,x68892),x68893),x68894)))
% 178.51/178.25 [6901]E(x69011,f326(f326(f3(a914),f326(f189(f915(x69012)),x69013)),f77(a914)))+E(f114(x69012,f326(f326(f159(x69012,x69013),x69011),x69014)),f326(f326(f159(x69012,f114(x69012,x69013)),x69011),x69014))
% 178.51/178.25 [6916]~P106(f326(f137(x69162),x69164))+P106(f326(f137(f921(x69161,x69162)),f326(f326(f181(x69161,x69162),x69163),x69164)))
% 178.51/178.25 [6917]~P106(f326(f137(x69171),x69173))+P106(f326(f137(f921(x69171,x69172)),f326(f326(f181(x69171,x69172),x69173),x69174)))
% 178.51/178.25 [7178]E(f326(f326(f36(a914),x71781),x71782),x71783)+~P106(f326(f48(x71781,x71782),f326(f326(f251(a914,a914),x71783),x71784)))
% 178.51/178.25 [7202]E(f45(a914,x72021,x72022),x72023)+~P106(f326(f48(x72021,x72022),f326(f326(f251(a914,a914),x72024),x72023)))
% 178.51/178.25 [7205]P106(f326(f137(x72051),x72052))+~P106(f326(f137(x72053),f326(f326(f154(x72051,x72053),x72054),x72052)))
% 178.51/178.25 [7213]~P23(x72131,x72132,f326(f326(f308(f913(x72131)),x72133),x72134))+P23(x72131,x72132,f326(f326(f308(f913(x72131)),x72133),f188(f922(f913(x72131),a910))))
% 178.51/178.25 [7289]E(f170(x72891,x72892,f326(f326(f134(x72891),x72893),x72894)),f326(f326(f134(x72891),f170(x72891,x72892,x72893)),x72894))+~P106(f326(f326(f328(x72891),x72892),f326(f172(x72891),x72893)))
% 178.51/178.25 [7380]~P61(x73801)+E(f45(x73801,f326(f326(f3(x73801),f45(x73801,x73802,x73803)),x73804),x73803),f45(x73801,f326(f326(f3(x73801),x73802),x73804),x73803))
% 178.51/178.25 [7383]~P60(x73831)+E(f45(x73831,f326(f326(f80(x73831),f45(x73831,x73832,x73833)),x73834),x73833),f45(x73831,f326(f326(f80(x73831),x73832),x73834),x73833))
% 178.51/178.25 [7384]~P60(x73841)+E(f45(x73841,f326(f326(f79(x73841),f45(x73841,x73842,x73843)),x73844),x73843),f45(x73841,f326(f326(f79(x73841),x73842),x73844),x73843))
% 178.51/178.25 [7576]~E(x75761,f326(f326(f151(x75762),x75763),x75764))+~P106(f326(f326(f234(a914),f326(f189(f915(x75762)),x75761)),f326(f189(f915(x75762)),x75764)))
% 178.51/178.25 [7778]P24(x77781,x77782,x77783,f326(f172(x77781),x77784))+~P106(f326(f137(x77782),f326(f326(f154(x77781,x77782),x77783),x77784)))
% 178.51/178.25 [7851]~P106(f326(f326(f234(f922(x78511,a910)),x78512),x78514))+P106(f326(f326(f234(f922(x78511,a910)),x78512),f326(f326(f308(x78511),x78513),x78514)))
% 178.51/178.25 [7885]~P61(x78851)+E(f45(x78851,f326(f326(f3(x78851),f45(x78851,x78852,x78853)),f45(x78851,x78854,x78853)),x78853),f45(x78851,f326(f326(f3(x78851),x78852),x78854),x78853))
% 178.51/178.25 [7886]~P60(x78861)+E(f45(x78861,f326(f326(f80(x78861),f45(x78861,x78862,x78863)),f45(x78861,x78864,x78863)),x78863),f45(x78861,f326(f326(f80(x78861),x78862),x78864),x78863))
% 178.51/178.25 [7887]~P60(x78871)+E(f45(x78871,f326(f326(f79(x78871),f45(x78871,x78872,x78873)),f45(x78871,x78874,x78873)),x78873),f45(x78871,f326(f326(f79(x78871),x78872),x78874),x78873))
% 178.51/178.25 [7990]~E(f326(x79904,f445(x79904,x79903,x79901,x79902)),f188(f922(x79902,a910)))+E(f326(f326(f40(x79901,f922(x79902,a910)),x79903),x79904),f188(f922(x79902,a910)))
% 178.51/178.25 [7991]~E(f326(x79914,f413(x79914,x79913,x79911,x79912)),f241(f922(x79912,a910)))+E(f326(f326(f39(x79911,f922(x79912,a910)),x79913),x79914),f241(f922(x79912,a910)))
% 178.51/178.25 [7992]~E(f326(x79924,f414(x79924,x79923,x79922,x79921)),f241(f922(x79922,a910)))+E(f326(f326(f39(x79921,f922(x79922,a910)),x79923),x79924),f241(f922(x79922,a910)))
% 178.51/178.25 [7993]~E(f326(x79934,f446(x79934,x79933,x79932,x79931)),f188(f922(x79932,a910)))+E(f326(f326(f40(x79931,f922(x79932,a910)),x79933),x79934),f188(f922(x79932,a910)))
% 178.51/178.25 [8374]P106(f326(x83741,x83742))+~P106(f326(f326(f328(x83743),x83742),f326(f326(f101(f922(x83743,a910)),x83744),f326(f261(x83743),x83741))))
% 178.51/178.25 [8411]~P106(f326(f326(f234(f922(x84111,a910)),x84113),x84114))+P106(f326(f326(f234(f922(x84111,a910)),f326(f326(f308(x84111),x84112),x84113)),f326(f326(f308(x84111),x84112),x84114)))
% 178.51/178.25 [8588]P106(f326(x85882,x85883))+E(f326(f326(f138(x85881),f326(f189(f915(x85881)),f177(x85881,x85882,f326(f326(f151(x85881),x85883),x85884)))),f326(f326(f151(x85881),x85883),x85884)),f326(f326(f151(x85881),x85883),x85884))
% 178.51/178.25 [8693]~P106(f326(f326(f235(a914),f326(x86934,x86932)),f326(x86934,x86933)))+P106(f326(f326(f328(f921(x86931,x86931)),f326(f326(f251(x86931,x86931),x86932),x86933)),f326(f326(f287(a914,x86931),a239),x86934)))
% 178.51/178.25 [8789]~P106(f326(x87892,f741(x87894,x87892,x87893,x87891)))+E(f177(x87891,x87892,f326(f326(f134(x87891),x87893),x87894)),f326(f326(f134(x87891),x87893),f177(x87891,x87892,x87894)))
% 178.51/178.25 [8866]P24(f915(x88661),f915(x88662),f326(f154(x88661,x88662),x88663),x88664)+~P24(x88661,x88662,x88663,f37(f922(x88661,a910),f326(f309(f915(x88661),f922(x88661,a910),f172(x88661)),x88664)))
% 178.51/178.25 [8941]~P106(f326(x89412,x89413))+E(f326(f326(f138(x89411),f326(f189(f915(x89411)),f177(x89411,x89412,f326(f326(f151(x89411),x89413),x89414)))),f326(f326(f151(x89411),x89413),x89414)),f326(f326(f138(x89411),f326(f189(f915(x89411)),f177(x89411,x89412,x89414))),x89414))
% 178.51/178.25 [8982]~E(x89822,x89823)+E(f326(f136(x89821,f326(f326(f10(a910,a910,x89821),a321),f326(a323,x89822))),f326(f326(f151(x89821),x89823),x89824)),f326(f136(x89821,f326(f326(f10(a910,a910,x89821),a321),f326(a323,x89822))),x89824))
% 178.51/178.25 [8992]E(f326(f326(f40(x89921,f922(x89922,a910)),x89923),x89924),f188(f922(x89922,a910)))+P106(f326(f326(f328(x89921),f445(x89924,x89923,x89921,x89922)),x89923))
% 178.51/178.25 [8993]E(f326(f326(f39(x89931,f922(x89932,a910)),x89933),x89934),f241(f922(x89932,a910)))+P106(f326(f326(f328(x89931),f413(x89934,x89933,x89931,x89932)),x89933))
% 178.51/178.25 [8994]E(f326(f326(f39(x89941,f922(x89942,a910)),x89943),x89944),f241(f922(x89942,a910)))+P106(f326(f326(f328(x89941),f414(x89944,x89943,x89942,x89941)),x89943))
% 178.51/178.25 [8995]E(f326(f326(f40(x89951,f922(x89952,a910)),x89953),x89954),f188(f922(x89952,a910)))+P106(f326(f326(f328(x89951),f446(x89954,x89953,x89952,x89951)),x89953))
% 178.51/178.25 [9033]P106(f326(f326(f235(a914),f326(x90331,x90332)),f326(x90331,x90333)))+~P106(f326(f326(f328(f921(x90334,x90334)),f326(f326(f251(x90334,x90334),x90332),x90333)),f326(f326(f287(a914,x90334),a239),x90331)))
% 178.51/178.25 [9059]E(f177(x90591,x90592,f326(f326(f134(x90591),x90593),x90594)),f326(f326(f134(x90591),x90593),f177(x90591,x90592,x90594)))+P106(f326(f326(f328(x90591),f741(x90594,x90592,x90593,x90591)),f326(f172(x90591),x90593)))
% 178.51/178.25 [9110]~P25(x91101,x91102,x91103,f241(f922(x91101,a910)),f241(f922(x91102,a910)))+E(f326(f309(x91101,x91102,x91103),f326(f78(f922(x91101,a910)),x91104)),f326(f78(f922(x91102,a910)),f326(f309(x91101,x91102,x91103),x91104)))
% 178.51/178.25 [9213]P106(f326(f326(f328(x92131),f509(x92132,x92133,x92134,x92131)),x92133))+~P106(f326(f326(f328(f922(x92131,a910)),x92134),f326(f326(f60(x92131),x92133),x92132)))
% 178.51/178.25 [9216]E(x92161,x92162)+~P106(f326(f326(f328(f921(x92163,x92163)),f326(f326(f251(x92163,x92163),x92161),x92162)),f326(f326(f183(f921(x92163,x92163),a910),f2(a914)),x92164)))
% 178.51/178.25 [9297]E(f326(f284(x92971,x92971,x92972),f326(f326(f308(x92971),f509(x92972,x92973,x92974,x92971)),f188(f922(x92971,a910)))),x92974)+~P106(f326(f326(f328(f922(x92971,a910)),x92974),f326(f326(f60(x92971),x92973),x92972)))
% 178.51/178.25 [9302]~P106(f326(f326(f328(f921(x93021,x93021)),f326(f326(f251(x93021,x93021),x93023),x93022)),f306(x93021,x93024)))+P106(f326(f326(f328(f921(x93021,x93021)),f326(f326(f251(x93021,x93021),x93022),x93023)),f306(x93021,f326(f285(x93021,x93021),x93024))))
% 178.51/178.25 [9315]~P60(x93151)+E(f326(f326(f79(x93151),f326(f326(f79(x93151),f326(f326(f80(x93151),x93152),f326(f326(f36(x93151),x93153),x93152))),f45(x93151,x93153,x93152))),x93154),f326(f326(f79(x93151),x93153),x93154))
% 178.51/178.25 [9326]~P106(f326(f326(f328(x93261),x93263),x93264))+P106(f326(f326(f328(f922(x93261,a910)),f326(f284(x93261,x93261,x93262),f326(f326(f308(x93261),x93263),f188(f922(x93261,a910))))),f326(f326(f60(x93261),x93264),x93262)))
% 178.51/178.25 [9338]P106(f326(f326(f328(f921(x93381,x93381)),f326(f326(f251(x93381,x93381),x93382),x93383)),f306(x93381,x93384)))+~P106(f326(f326(f328(f921(x93381,x93381)),f326(f326(f251(x93381,x93381),x93383),x93382)),f306(x93381,f326(f285(x93381,x93381),x93384))))
% 178.51/178.25 [9424]E(f326(f326(f159(x94241,f326(f168(x94241),x94242)),f326(f326(f3(a914),f326(f326(f3(a914),f326(f189(f915(x94241)),x94242)),x94243)),f77(a914))),x94244),f326(f168(x94241),f326(f326(f159(x94241,x94242),x94243),x94244)))+~P106(f326(f326(f235(a914),x94243),f326(f189(f915(x94241)),x94242)))
% 178.51/178.25 [9427]~P106(f326(x94272,f735(x94274,x94272,x94273,x94271)))+E(f326(f326(f138(x94271),f326(f189(f915(x94271)),f177(x94271,x94272,f326(f326(f134(x94271),x94273),x94274)))),f326(f326(f134(x94271),x94273),x94274)),f326(f326(f138(x94271),f326(f189(f915(x94271)),f177(x94271,x94272,x94274))),x94274))
% 178.51/178.25 [9473]~P24(x94732,x94731,x94733,f241(f922(x94732,a910)))+P106(f326(f326(f234(f922(x94731,a910)),f326(f309(x94732,x94731,x94733),f326(f78(f922(x94732,a910)),x94734))),f326(f78(f922(x94731,a910)),f326(f309(x94732,x94731,x94733),x94734))))
% 178.51/178.25 [9485]~P4(x94851)+E(f326(f142(x94851,x94852,f326(f9(x94852,x94851,x94851),f326(f326(f10(x94851,f922(x94851,x94851),x94852),f101(x94851)),x94853)),f241(x94851)),x94854),f326(f326(f39(x94852,x94851),f326(f172(x94852),x94854)),x94853))
% 178.51/178.25 [9486]~P4(x94861)+E(f326(f142(x94861,x94862,f326(f9(x94862,x94861,x94861),f326(f326(f10(x94861,f922(x94861,x94861),x94862),f110(x94861)),x94863)),f188(x94861)),x94864),f326(f326(f40(x94862,x94861),f326(f172(x94862),x94864)),x94863))
% 178.51/178.25 [9496]E(f326(f326(f138(x94961),f326(f189(f915(x94961)),f177(x94961,x94962,f326(f326(f134(x94961),x94963),x94964)))),f326(f326(f134(x94961),x94963),x94964)),f326(f326(f138(x94961),f326(f189(f915(x94961)),f177(x94961,x94962,x94964))),x94964))+P106(f326(f326(f328(x94961),f735(x94964,x94962,x94963,x94961)),f326(f172(x94961),x94963)))
% 178.51/178.25 [9566]~P106(f326(f326(f328(f921(f915(x95664),f915(x95664))),f326(f326(f251(f915(x95664),f915(x95664)),x95663),x95662)),f157(x95664,x95661)))+P106(f326(f326(f235(a914),f669(x95661,x95662,x95663,x95664)),f326(f189(f915(x95664)),x95663)))
% 178.51/178.25 [9567]~P60(x95671)+E(f326(f326(f79(x95671),f326(f326(f79(x95671),f326(f326(f80(x95671),f326(f326(f36(x95671),x95672),x95673)),x95673)),f45(x95671,x95672,x95673))),x95674),f326(f326(f79(x95671),x95672),x95674))
% 178.51/178.25 [9594]~P106(f326(f326(f328(f921(f915(x95941),f915(x95941))),f326(f326(f251(f915(x95941),f915(x95941)),x95942),x95943)),f326(f285(f915(x95941),f915(x95941)),f157(x95941,x95944))))+P106(f326(f326(f328(f921(f915(x95941),f915(x95941))),f326(f326(f251(f915(x95941),f915(x95941)),x95942),x95943)),f157(x95941,f326(f285(x95941,x95941),x95944))))
% 178.51/178.25 [9595]P106(f326(f326(f328(f921(f915(x95951),f915(x95951))),f326(f326(f251(f915(x95951),f915(x95951)),x95952),x95953)),f326(f285(f915(x95951),f915(x95951)),f157(x95951,x95954))))+~P106(f326(f326(f328(f921(f915(x95951),f915(x95951))),f326(f326(f251(f915(x95951),f915(x95951)),x95952),x95953)),f157(x95951,f326(f285(x95951,x95951),x95954))))
% 178.51/178.25 [9639]~P106(f326(f326(f328(x96391),x96393),f326(f263(x96391,x96392),x96394)))+P106(f326(f326(f328(f921(x96391,x96392)),f326(f326(f251(x96391,x96392),x96393),f567(x96394,x96392,x96393,x96391))),x96394))
% 178.51/178.25 [9640]~P106(f326(f326(f328(x96401),x96403),f326(f263(x96401,x96402),x96404)))+P106(f326(f326(f328(f921(x96401,x96402)),f326(f326(f251(x96401,x96402),x96403),f570(x96404,x96402,x96403,x96401))),x96404))
% 178.51/178.25 [9801]~P106(f326(f326(f328(f921(x98011,x98011)),f326(f326(f251(x98011,x98011),x98012),x98014)),f326(f326(f288(x98011,x98011,x98011),x98013),f306(x98011,x98013))))+P106(f326(f326(f328(f921(x98011,x98011)),f326(f326(f251(x98011,x98011),x98012),f630(x98013,x98014,x98012,x98011))),x98013))
% 178.51/178.25 [9959]P10(x99591,x99592,x99593,x99594)+P106(f326(f326(f328(f921(x99591,x99591)),f326(f326(f251(x99591,x99591),f831(x99592,x99594,x99593,x99591)),f830(x99592,x99594,x99593,x99591))),x99593))
% 178.51/178.25 [9966]~P106(f326(f326(f328(f921(x99662,x99661)),x99664),f326(f285(x99661,x99662),x99663)))+P106(f326(f326(f328(f921(x99661,x99662)),f326(f326(f251(x99661,x99662),f641(x99663,x99664,x99661,x99662)),f640(x99663,x99664,x99661,x99662))),x99663))
% 178.51/178.25 [9990]~P106(f326(f326(f328(f921(f915(x99901),f915(x99901))),f326(f326(f251(f915(x99901),f915(x99901)),x99904),x99903)),f157(x99901,x99902)))+P106(f326(f326(f328(f921(x99901,x99901)),f326(f326(f251(x99901,x99901),f685(x99902,x99903,x99904,x99901)),f686(x99902,x99903,x99904,x99901))),x99902))
% 178.51/178.25 [10081]~P106(f326(f326(f328(f921(f915(x100811),f915(x100811))),f326(f326(f251(f915(x100811),f915(x100811)),x100812),x100814)),f157(x100811,x100813)))+P106(f326(f326(f328(f921(x100811,x100811)),f326(f326(f251(x100811,x100811),f326(f326(f164(x100811),x100812),f669(x100813,x100814,x100812,x100811))),f670(x100813,x100814,x100812,x100811))),x100813))
% 178.51/178.25 [10103]~P106(f326(f61(x101032),x101034))+E(f326(f326(f326(f65(f922(x101031,a910),x101032,f110(f922(x101031,a910))),f326(f326(f9(x101032,f922(x101031,a910),f922(x101031,a910)),f326(f326(f10(x101031,f922(f922(x101031,a910),f922(x101031,a910)),x101032),f308(x101031)),x101033)),f188(f922(x101031,a910)))),f188(f922(x101031,a910))),x101034),f326(f309(x101032,x101031,x101033),x101034))
% 178.51/178.25 [10198]~P24(x101981,x101982,x101983,f241(f922(x101981,a910)))+P106(f326(f326(f234(f922(x101981,a910)),f326(f310(x101981,x101982,x101983),f326(f326(f308(x101982),x101984),f188(f922(x101982,a910))))),f326(f326(f308(x101981),f84(x101981,f326(f326(f9(x101981,x101982,a910),f326(f326(f10(x101982,f922(x101982,a910),x101981),a323),x101983)),x101984))),f188(f922(x101981,a910)))))
% 178.51/178.25 [5809]~E(f326(f326(f134(x58091),x58092),x58094),x58093)+E(f326(f326(f175(x58091),f326(f189(f915(x58091)),x58092)),x58093),x58092)
% 178.51/178.25 [5810]~E(f326(f326(f134(x58102),x58103),x58101),x58104)+E(x58101,f326(f326(f138(x58102),f326(f189(f915(x58102)),x58103)),x58104))
% 178.51/178.25 [5821]~E(x58214,f2(a914))+E(f326(f326(f164(x58211),f326(f326(f151(x58211),x58212),x58213)),x58214),x58212)
% 178.51/178.25 [6368]~P113(x63681)+E(f326(f326(f243(x63681),f326(f326(f243(x63681),x63682),x63683)),x63684),f326(f326(f243(x63681),x63682),f326(f326(f80(a914),x63683),x63684)))
% 178.51/178.25 [6369]~P82(x63691)+E(f326(f326(f243(x63691),f326(f326(f243(x63691),x63692),x63693)),x63694),f326(f326(f243(x63691),x63692),f326(f326(f80(a914),x63693),x63694)))
% 178.51/178.25 [6377]E(x63771,f2(a914))+E(f326(f326(f164(x63772),f326(f326(f151(x63772),x63773),x63774)),x63771),f326(f326(f164(x63772),x63774),f326(f326(f3(a914),x63771),f77(a914))))
% 178.51/178.25 [6404]~P122(x64041)+E(f326(f326(f289(x64041),f326(f326(f80(x64041),x64042),x64043)),x64044),f326(f326(f80(x64041),x64042),f326(f326(f289(x64041),x64043),x64044)))
% 178.51/178.25 [6406]~P78(x64061)+E(f326(f326(f110(x64061),f326(f326(f110(x64061),x64062),x64063)),x64064),f326(f326(f110(x64061),x64062),f326(f326(f110(x64061),x64063),x64064)))
% 178.51/178.25 [6408]~P101(x64081)+E(f326(f326(f110(x64081),f326(f326(f110(x64081),x64082),x64083)),x64084),f326(f326(f110(x64081),x64082),f326(f326(f110(x64081),x64083),x64084)))
% 178.51/178.25 [6409]~P68(x64091)+E(f326(f326(f80(x64091),f326(f326(f80(x64091),x64092),x64093)),x64094),f326(f326(f80(x64091),x64092),f326(f326(f80(x64091),x64093),x64094)))
% 178.51/178.25 [6410]~P113(x64101)+E(f326(f326(f80(x64101),f326(f326(f80(x64101),x64102),x64103)),x64104),f326(f326(f80(x64101),x64102),f326(f326(f80(x64101),x64103),x64104)))
% 178.51/178.25 [6412]~P78(x64121)+E(f326(f326(f101(x64121),f326(f326(f101(x64121),x64122),x64123)),x64124),f326(f326(f101(x64121),x64122),f326(f326(f101(x64121),x64123),x64124)))
% 178.51/178.25 [6414]~P102(x64141)+E(f326(f326(f101(x64141),f326(f326(f101(x64141),x64142),x64143)),x64144),f326(f326(f101(x64141),x64142),f326(f326(f101(x64141),x64143),x64144)))
% 178.51/178.25 [6415]~P69(x64151)+E(f326(f326(f79(x64151),f326(f326(f79(x64151),x64152),x64153)),x64154),f326(f326(f79(x64151),x64152),f326(f326(f79(x64151),x64153),x64154)))
% 178.51/178.25 [6416]~P113(x64161)+E(f326(f326(f79(x64161),f326(f326(f79(x64161),x64162),x64163)),x64164),f326(f326(f79(x64161),x64162),f326(f326(f79(x64161),x64163),x64164)))
% 178.51/178.25 [6418]~P109(x64181)+E(f326(f326(f232(x64181),f326(f326(f232(x64181),x64182),x64183)),x64184),f326(f326(f232(x64181),x64182),f326(f326(f232(x64181),x64183),x64184)))
% 178.51/178.25 [6420]~P109(x64201)+E(f326(f326(f233(x64201),f326(f326(f233(x64201),x64202),x64203)),x64204),f326(f326(f233(x64201),x64202),f326(f326(f233(x64201),x64203),x64204)))
% 178.51/178.25 [6429]~P60(x64291)+E(f45(x64291,f326(f326(f79(x64291),x64292),f326(f326(f80(x64291),x64293),x64294)),x64294),f45(x64291,x64292,x64294))
% 178.51/178.25 [6430]~P60(x64301)+E(f45(x64301,f326(f326(f79(x64301),x64302),f326(f326(f80(x64301),x64303),x64304)),x64303),f45(x64301,x64302,x64303))
% 178.51/178.25 [6569]E(f326(f326(f164(x65691),f326(f326(f175(x65691),x65692),x65693)),x65694),f326(f326(f164(x65691),x65693),x65694))+~P106(f326(f326(f235(a914),x65694),x65692))
% 178.51/178.25 [6745]~E(x67452,x67454)+P106(f326(f326(f172(x67451),f326(f326(f151(x67451),x67452),x67453)),x67454))
% 178.51/178.25 [6747]~P113(x67471)+E(f326(f326(f80(x67471),f326(f326(f80(x67471),x67472),x67473)),x67474),f326(f326(f80(x67471),f326(f326(f80(x67471),x67472),x67474)),x67473))
% 178.51/178.25 [6748]~P113(x67481)+E(f326(f326(f79(x67481),f326(f326(f79(x67481),x67482),x67483)),x67484),f326(f326(f79(x67481),f326(f326(f79(x67481),x67482),x67484)),x67483))
% 178.51/178.25 [6808]~P144(x68082)+E(f326(f326(f8(x68081,x68082),f326(f18(x68082,x68081),x68083)),x68084),f326(f326(f80(x68082),f326(f100(x68082),f326(f35(x68081),x68084))),x68083))
% 178.51/178.25 [6979]E(f326(f326(f101(f922(x69791,a910)),f326(f326(f308(x69791),x69792),x69793)),x69794),f326(f326(f101(f922(x69791,a910)),x69793),x69794))+P106(f326(f326(f328(x69791),x69792),x69794))
% 178.51/178.25 [7046]~P99(x70461)+E(f326(f326(f101(x70461),f326(f326(f110(x70461),x70462),x70463)),f326(f326(f110(x70461),x70464),x70463)),f326(f326(f110(x70461),f326(f326(f101(x70461),x70462),x70464)),x70463))
% 178.51/178.25 [7047]~P80(x70471)+E(f326(f326(f232(x70471),f326(f326(f3(x70471),x70472),x70473)),f326(f326(f3(x70471),x70474),x70473)),f326(f326(f3(x70471),f326(f326(f232(x70471),x70472),x70474)),x70473))
% 178.51/178.25 [7048]~P80(x70481)+E(f326(f326(f233(x70481),f326(f326(f3(x70481),x70482),x70483)),f326(f326(f3(x70481),x70484),x70483)),f326(f326(f3(x70481),f326(f326(f233(x70481),x70482),x70484)),x70483))
% 178.51/178.25 [7050]~P114(x70501)+E(f326(f326(f79(x70501),f326(f326(f80(x70501),x70502),x70503)),f326(f326(f80(x70501),x70504),x70503)),f326(f326(f80(x70501),f326(f326(f79(x70501),x70502),x70504)),x70503))
% 178.51/178.25 [7051]~P99(x70511)+E(f326(f326(f110(x70511),f326(f326(f101(x70511),x70512),x70513)),f326(f326(f101(x70511),x70514),x70513)),f326(f326(f101(x70511),f326(f326(f110(x70511),x70512),x70514)),x70513))
% 178.51/178.25 [7052]~P85(x70521)+E(f326(f326(f232(x70521),f326(f326(f79(x70521),x70522),x70523)),f326(f326(f79(x70521),x70524),x70523)),f326(f326(f79(x70521),f326(f326(f232(x70521),x70522),x70524)),x70523))
% 178.51/178.25 [7053]~P85(x70531)+E(f326(f326(f233(x70531),f326(f326(f79(x70531),x70532),x70533)),f326(f326(f79(x70531),x70534),x70533)),f326(f326(f79(x70531),f326(f326(f233(x70531),x70532),x70534)),x70533))
% 178.51/178.25 [7054]~P122(x70541)+E(f326(f326(f3(x70541),f326(f326(f289(x70541),x70542),x70543)),f326(f326(f289(x70541),x70544),x70543)),f326(f326(f289(x70541),f326(f326(f3(x70541),x70542),x70544)),x70543))
% 178.51/178.25 [7055]~P122(x70551)+E(f326(f326(f79(x70551),f326(f326(f289(x70551),x70552),x70553)),f326(f326(f289(x70551),x70554),x70553)),f326(f326(f289(x70551),f326(f326(f79(x70551),x70552),x70554)),x70553))
% 178.51/178.25 [7056]~P109(x70561)+E(f326(f326(f233(x70561),f326(f326(f232(x70561),x70562),x70563)),f326(f326(f232(x70561),x70564),x70563)),f326(f326(f232(x70561),f326(f326(f233(x70561),x70562),x70564)),x70563))
% 178.51/178.25 [7057]~P113(x70571)+E(f326(f326(f80(x70571),f326(f326(f243(x70571),x70572),x70573)),f326(f326(f243(x70571),x70574),x70573)),f326(f326(f243(x70571),f326(f326(f80(x70571),x70572),x70574)),x70573))
% 178.51/178.25 [7058]~P75(x70581)+E(f326(f326(f80(x70581),f326(f326(f243(x70581),x70582),x70583)),f326(f326(f243(x70581),x70584),x70583)),f326(f326(f243(x70581),f326(f326(f80(x70581),x70582),x70584)),x70583))
% 178.51/178.25 [7059]~P63(x70591)+E(f326(f326(f289(x70591),f326(f326(f243(x70591),x70592),x70593)),f326(f326(f243(x70591),x70594),x70593)),f326(f326(f243(x70591),f326(f326(f289(x70591),x70592),x70594)),x70593))
% 178.51/178.25 [7060]~P109(x70601)+E(f326(f326(f232(x70601),f326(f326(f233(x70601),x70602),x70603)),f326(f326(f233(x70601),x70604),x70603)),f326(f326(f233(x70601),f326(f326(f232(x70601),x70602),x70604)),x70603))
% 178.51/178.25 [7061]~P113(x70611)+E(f326(f326(f79(x70611),f326(f326(f80(x70611),x70612),x70613)),f326(f326(f80(x70611),x70614),x70613)),f326(f326(f80(x70611),f326(f326(f79(x70611),x70612),x70614)),x70613))
% 178.51/178.25 [7092]E(f326(f326(f159(x70921,x70922),x70923),x70924),x70922)+~P106(f326(f326(f234(a914),f326(f189(f915(x70921)),x70922)),x70923))
% 178.51/178.25 [7118]~P106(f326(x71183,x71184))+P106(f326(f326(f326(f110(f922(x71181,a910)),x71182),x71183),x71184))
% 178.51/178.25 [7120]~P106(f326(x71202,x71204))+P106(f326(f326(f326(f110(f922(x71201,a910)),x71202),x71203),x71204))
% 178.51/178.25 [7140]E(f326(f326(f164(x71401),f326(f326(f134(x71401),x71402),x71403)),x71404),f326(f326(f164(x71401),x71402),x71404))+~P106(f326(f326(f235(a914),x71404),f326(f189(f915(x71401)),x71402)))
% 178.51/178.25 [7151]E(f326(f326(f3(f922(x71511,a910)),f326(f326(f308(x71511),x71512),x71513)),x71514),f326(f326(f3(f922(x71511,a910)),x71513),x71514))+~P106(f326(f326(f328(x71511),x71512),x71514))
% 178.51/178.25 [7191]~E(f139(a914,f326(f301(a914,x71911),x71912)),f326(f326(f151(a914),x71914),x71913))+E(f139(a914,f326(f301(a914,f326(f326(f79(a914),x71911),f77(a914))),x71912)),x71913)
% 178.51/178.25 [7214]~P106(f326(f326(f172(x72141),x72143),x72144))+P106(f326(f326(f172(x72141),f326(f326(f151(x72141),x72142),x72143)),x72144))
% 178.51/178.25 [7264]E(x72641,f2(a914))+E(f326(f326(f151(x72642),x72643),f326(f326(f175(x72642),f326(f326(f3(a914),x72641),f77(a914))),x72644)),f326(f326(f175(x72642),x72641),f326(f326(f151(x72642),x72643),x72644)))
% 178.51/178.25 [7364]E(f326(f326(f164(x73641),x73642),f326(f326(f3(a914),x73643),f326(f189(f915(x73641)),x73644))),f326(f326(f164(x73641),f326(f326(f134(x73641),x73644),x73642)),x73643))+P106(f326(f326(f235(a914),x73643),f326(f189(f915(x73641)),x73644)))
% 178.51/178.25 [7394]E(f326(f326(f101(f922(x73941,a910)),x73942),f326(f326(f308(x73941),x73943),x73944)),f326(f326(f308(x73941),x73943),f326(f326(f101(f922(x73941,a910)),x73942),x73944)))+~P106(f326(f326(f328(x73941),x73943),x73942))
% 178.51/178.25 [7432]E(f326(f326(f164(x74321),f326(f326(f159(x74321,x74322),x74323),x74324)),x74323),x74324)+~P106(f326(f326(f235(a914),x74323),f326(f189(f915(x74321)),x74322)))
% 178.51/178.25 [7454]E(x74541,f188(f922(x74542,a910)))+E(f326(f309(f921(x74543,x74542),x74543,f250(x74543,x74542)),f326(f326(f253(x74543,x74542),x74544),f326(f18(f922(x74542,a910),x74543),x74541))),x74544)
% 178.51/178.25 [7455]E(x74551,f188(f922(x74552,a910)))+E(f326(f309(f921(x74552,x74553),x74553,f255(x74552,x74553)),f326(f326(f253(x74552,x74553),x74551),f326(f18(f922(x74553,a910),x74552),x74554))),x74554)
% 178.51/178.25 [7527]E(f326(f326(f3(f922(x75271,a910)),f326(f326(f308(x75271),x75272),x75273)),x75274),f326(f326(f308(x75271),x75272),f326(f326(f3(f922(x75271,a910)),x75273),x75274)))+P106(f326(f326(f328(x75271),x75272),x75274))
% 178.51/178.25 [7562]~E(x75624,f188(f922(x75622,a910)))+E(f326(f309(f921(x75621,x75622),x75621,f250(x75621,x75622)),f326(f326(f253(x75621,x75622),x75623),f326(f18(f922(x75622,a910),x75621),x75624))),f188(f922(x75621,a910)))
% 178.51/178.25 [7563]~E(x75633,f188(f922(x75631,a910)))+E(f326(f309(f921(x75631,x75632),x75632,f255(x75631,x75632)),f326(f326(f253(x75631,x75632),x75633),f326(f18(f922(x75632,a910),x75631),x75634))),f188(f922(x75632,a910)))
% 178.51/178.25 [7616]~P106(f326(f326(f328(x76161),x76162),x76164))+P106(f326(f326(f328(x76161),x76162),f326(f326(f110(f922(x76161,a910)),x76163),x76164)))
% 178.51/178.25 [7619]~P106(f326(f326(f328(x76191),x76192),x76193))+P106(f326(f326(f328(x76191),x76192),f326(f326(f110(f922(x76191,a910)),x76193),x76194)))
% 178.51/178.25 [7637]E(f326(f326(f101(f922(x76371,a910)),f326(f326(f308(x76371),x76372),x76373)),x76374),f326(f326(f308(x76371),x76372),f326(f326(f101(f922(x76371,a910)),x76373),x76374)))+~P106(f326(f326(f328(x76371),x76372),x76374))
% 178.51/178.25 [7907]P106(f326(x79071,x79072))+~P106(f326(f326(f326(f101(f922(x79073,a910)),x79074),x79071),x79072))
% 178.51/178.25 [7908]P106(f326(x79081,x79082))+~P106(f326(f326(f326(f101(f922(x79083,a910)),x79081),x79084),x79082))
% 178.51/178.25 [7909]E(f326(f326(f8(x79091,a914),x79092),f326(f326(f3(f922(x79091,a910)),x79093),f326(f326(f308(x79091),x79094),f188(f922(x79091,a910))))),f326(f326(f8(x79091,a914),x79092),x79093))+P106(f326(f326(f328(x79091),x79094),x79093))
% 178.51/178.25 [7914]~P70(x79141)+E(f326(f165(x79141),f326(f326(f154(a914,x79141),x79142),f139(a914,f326(f301(a914,x79143),x79144)))),f326(f326(f8(a914,x79141),x79142),f326(f172(a914),f139(a914,f326(f301(a914,x79143),x79144)))))
% 178.51/178.25 [7915]~P70(x79151)+E(f326(f326(f8(a914,x79151),x79152),f326(f172(a914),f139(a914,f326(f301(a914,x79153),x79154)))),f326(f165(x79151),f326(f326(f154(a914,x79151),x79152),f139(a914,f326(f301(a914,x79153),x79154)))))
% 178.51/178.25 [8026]~E(x80263,x80264)+P106(f326(f62(x80261,x80262,f326(f326(f308(x80261),x80263),f188(f922(x80261,a910)))),x80264))
% 178.51/178.25 [8122]P106(f326(f326(f328(x81221),x81222),f326(f172(x81221),x81223)))+~P106(f326(f326(f328(x81221),x81222),f326(f172(x81221),f326(f326(f175(x81221),x81224),x81223))))
% 178.51/178.25 [8123]P106(f326(f326(f328(x81231),x81232),f326(f172(x81231),x81233)))+~P106(f326(f326(f328(x81231),x81232),f326(f172(x81231),f326(f326(f138(x81231),x81234),x81233))))
% 178.51/178.25 [8193]P106(f326(f326(f328(x81931),x81932),x81933))+~P106(f326(f326(f328(x81931),x81932),f326(f326(f3(f922(x81931,a910)),x81933),x81934)))
% 178.51/178.25 [8195]P106(f326(f326(f328(x81951),x81952),x81953))+~P106(f326(f326(f328(x81951),x81952),f326(f326(f101(f922(x81951,a910)),x81954),x81953)))
% 178.51/178.25 [8198]P106(f326(f326(f328(x81981),x81982),x81983))+~P106(f326(f326(f328(x81981),x81982),f326(f326(f101(f922(x81981,a910)),x81983),x81984)))
% 178.51/178.25 [8213]E(f326(f326(f134(x82131),f326(f326(f175(x82131),x82132),x82133)),f326(f326(f151(x82131),x82134),f326(f326(f138(x82131),f326(a112,x82132)),x82133))),f326(f326(f159(x82131,x82133),x82132),x82134))+~P106(f326(f326(f235(a914),x82132),f326(f189(f915(x82131)),x82133)))
% 178.51/178.25 [8236]P106(f326(f326(f328(x82361),x82362),x82363))+~P106(f326(f326(f234(f922(x82361,a910)),f326(f326(f308(x82361),x82362),x82364)),x82363))
% 178.51/178.25 [8272]~P106(f326(f326(f328(x82721),x82722),x82723))+~P106(f326(f326(f328(x82721),x82722),f326(f326(f3(f922(x82721,a910)),x82724),x82723)))
% 178.51/178.25 [8302]~P106(f326(f326(f235(a914),x83024),f326(f189(f915(x83021)),x83023)))+P106(f326(f326(f328(x83021),x83022),f326(f172(x83021),f326(f326(f159(x83021,x83023),x83024),x83022))))
% 178.51/178.25 [8353]E(f326(f326(f164(x83531),f326(f326(f138(x83531),x83532),x83533)),x83534),f326(f326(f164(x83531),x83533),f326(f326(f79(a914),x83532),x83534)))+~P106(f326(f326(f234(a914),f326(f326(f79(a914),x83532),x83534)),f326(f189(f915(x83531)),x83533)))
% 178.51/178.25 [8362]~P144(x83622)+E(f326(f326(f8(x83621,x83622),f326(f326(f10(a914,x83622,x83621),f100(x83622)),x83623)),x83624),f326(f100(x83622),f326(f326(f8(x83621,a914),x83623),x83624)))
% 178.51/178.25 [8363]~P141(x83632)+E(f326(f326(f8(x83631,x83632),f326(f326(f10(a1,x83632,x83631),f102(x83632)),x83633)),x83634),f326(f102(x83632),f326(f326(f8(x83631,a1),x83633),x83634)))
% 178.51/178.25 [8413]~P66(x84132)+E(f326(f326(f11(x84131,x84132),f326(f326(f10(x84132,x84132,x84131),f75(x84132)),x84133)),x84134),f326(f75(x84132),f326(f326(f11(x84131,x84132),x84133),x84134)))
% 178.51/178.25 [8414]~P67(x84142)+E(f326(f326(f8(x84141,x84142),f326(f326(f10(x84142,x84142,x84141),f78(x84142)),x84143)),x84144),f326(f78(x84142),f326(f326(f8(x84141,x84142),x84143),x84144)))
% 178.51/178.25 [8416]E(f326(f326(f8(x84161,a914),x84162),f326(f326(f3(f922(x84161,a910)),x84163),f326(f326(f308(x84161),x84164),f188(f922(x84161,a910))))),f326(f326(f3(a914),f326(f326(f8(x84161,a914),x84162),x84163)),f326(x84162,x84164)))+~P106(f326(f326(f328(x84161),x84164),x84163))
% 178.51/178.25 [8435]P106(f326(f326(f234(f922(x84351,a910)),x84352),x84353))+~P106(f326(f326(f234(f922(x84351,a910)),f326(f326(f308(x84351),x84354),x84352)),x84353))
% 178.51/178.25 [8559]~E(f326(f309(x85592,x85593,x85591),f241(f922(x85592,a910))),f241(f922(x85593,a910)))+E(f326(x85591,f326(f91(x85592,x85593,f241(f922(x85592,a910)),x85591),x85594)),x85594)
% 178.51/178.25 [8640]P37(x86401,x86402)+~P37(x86401,f326(f326(f308(f921(x86401,x86401)),f326(f326(f251(x86401,x86401),x86403),x86404)),x86402))
% 178.51/178.25 [8641]P57(x86411,x86412)+~P57(x86411,f326(f326(f308(f921(x86411,x86411)),f326(f326(f251(x86411,x86411),x86413),x86414)),x86412))
% 178.51/178.25 [8646]~P109(x86461)+E(f326(f326(f148(x86461,x86461,f7(x86461)),x86462),f326(f326(f148(x86461,x86461,f7(x86461)),x86463),x86464)),f326(f326(f148(x86461,x86461,f7(x86461)),x86463),f326(f326(f148(x86461,x86461,f7(x86461)),x86462),x86464)))
% 178.51/178.25 [8661]E(x86611,x86612)+~P106(f326(f62(x86613,x86614,f326(f326(f308(x86613),x86611),f188(f922(x86613,a910)))),x86612))
% 178.51/178.25 [8670]E(f326(f326(f134(x86701),f326(f326(f175(x86701),x86702),x86703)),f326(f326(f175(x86701),x86704),f326(f326(f138(x86701),x86702),x86703))),f326(f326(f175(x86701),f326(f326(f79(a914),x86702),x86704)),x86703))+~P106(f326(f326(f234(a914),f326(f326(f79(a914),x86702),x86704)),f326(f189(f915(x86701)),x86703)))
% 178.51/178.25 [8709]P106(f326(f61(x87091),x87092))+~E(x87092,f326(f309(a914,x87091,x87093),f326(f261(a914),f326(f326(f9(a914,a914,a910),f235(a914)),x87094))))
% 178.51/178.25 [8729]~P92(x87291)+E(f326(f142(x87291,x87291,f79(x87291),f326(f326(f79(x87291),x87292),x87293)),x87294),f326(f326(f79(x87291),x87292),f326(f142(x87291,x87291,f79(x87291),x87293),x87294)))
% 178.51/178.25 [8765]P106(f326(f326(f234(f922(x87651,a910)),f326(f263(x87651,x87652),x87653)),f326(f263(x87651,x87652),x87654)))+~P106(f326(f326(f234(f922(f921(x87651,x87652),a910)),x87653),x87654))
% 178.51/178.25 [8777]~P106(f326(f326(f234(a914),x87772),x87774))+P106(f326(f326(f234(f922(x87771,a910)),f326(f172(x87771),f326(f326(f175(x87771),x87772),x87773))),f326(f172(x87771),f326(f326(f175(x87771),x87774),x87773))))
% 178.51/178.25 [8778]~P106(f326(f326(f234(a914),x87784),x87782))+P106(f326(f326(f234(f922(x87781,a910)),f326(f172(x87781),f326(f326(f138(x87781),x87782),x87783))),f326(f172(x87781),f326(f326(f138(x87781),x87784),x87783))))
% 178.51/178.25 [8835]~P106(f326(f61(x88351),f326(f326(f3(f922(x88351,a910)),x88352),x88354)))+P106(f326(f61(x88351),f326(f326(f3(f922(x88351,a910)),x88352),f326(f326(f308(x88351),x88353),x88354))))
% 178.51/178.25 [8877]P106(f326(f326(f328(f921(x88771,x88771)),x88772),f306(x88771,x88773)))+~P106(f326(f326(f328(f921(x88771,x88771)),x88772),f326(f326(f183(f921(x88771,x88771),a910),x88774),x88773)))
% 178.51/178.25 [8963]~P106(f326(f61(x89631),f326(f326(f3(f922(x89631,a910)),x89632),f326(f326(f308(x89631),x89634),x89633))))+P106(f326(f61(x89631),f326(f326(f3(f922(x89631,a910)),x89632),x89633)))
% 178.51/178.25 [9174]~P78(x91741)+P106(f326(f326(f234(x91741),f326(f326(f110(x91741),x91742),f326(f326(f101(x91741),x91743),x91744))),f326(f326(f101(x91741),f326(f326(f110(x91741),x91742),x91743)),f326(f326(f110(x91741),x91742),x91744))))
% 178.51/178.25 [9175]~P109(x91751)+P106(f326(f326(f234(x91751),f326(f326(f233(x91751),x91752),f326(f326(f232(x91751),x91753),x91754))),f326(f326(f232(x91751),f326(f326(f233(x91751),x91752),x91753)),f326(f326(f233(x91751),x91752),x91754))))
% 178.51/178.25 [9322]E(x93221,x93222)+~P106(f326(f326(f328(f921(x93223,x93223)),f326(f326(f251(x93223,x93223),x93221),x93222)),f326(f172(f921(x93223,x93223)),f326(f326(f181(x93223,x93223),x93224),x93224))))
% 178.51/178.25 [9353]~P106(f326(f326(f328(f921(x93531,x93531)),f326(f326(f251(x93531,x93531),x93533),x93532)),f306(x93531,x93534)))+~P37(x93531,f326(f326(f308(f921(x93531,x93531)),f326(f326(f251(x93531,x93531),x93532),x93533)),x93534))
% 178.51/178.25 [9354]~P106(f326(f326(f328(f921(x93541,x93541)),f326(f326(f251(x93541,x93541),x93543),x93542)),f306(x93541,x93544)))+~P57(x93541,f326(f326(f308(f921(x93541,x93541)),f326(f326(f251(x93541,x93541),x93542),x93543)),x93544))
% 178.51/178.25 [9358]E(x93581,x93582)+E(f326(f136(x93583,f326(f326(f10(a910,a910,x93583),a321),f326(a323,x93581))),f326(f326(f151(x93583),x93582),x93584)),f326(f326(f151(x93583),x93582),f326(f136(x93583,f326(f326(f10(a910,a910,x93583),a321),f326(a323,x93581))),x93584)))
% 178.51/178.25 [9387]~P25(x93872,x93871,x93873,f241(f922(x93872,a910)),f241(f922(x93871,a910)))+E(f326(f309(x93871,x93872,f91(x93872,x93871,f241(f922(x93872,a910)),x93873)),x93874),f326(f310(x93872,x93871,x93873),x93874))
% 178.51/178.25 [9403]~P78(x94031)+P106(f326(f326(f234(x94031),f326(f326(f110(x94031),f326(f326(f101(x94031),x94032),x94033)),f326(f326(f101(x94031),x94032),x94034))),f326(f326(f101(x94031),x94032),f326(f326(f110(x94031),x94033),x94034))))
% 178.51/178.25 [9404]~P109(x94041)+P106(f326(f326(f234(x94041),f326(f326(f233(x94041),f326(f326(f232(x94041),x94042),x94043)),f326(f326(f232(x94041),x94042),x94044))),f326(f326(f232(x94041),x94042),f326(f326(f233(x94041),x94043),x94044))))
% 178.51/178.25 [9467]~P25(x94672,x94671,x94674,f241(f922(x94672,a910)),f241(f922(x94671,a910)))+E(f326(f261(x94671),f326(f326(f10(x94672,a910,x94671),x94673),f91(x94672,x94671,f241(f922(x94672,a910)),x94674))),f326(f309(x94672,x94671,x94674),f326(f261(x94672),x94673)))
% 178.51/178.25 [9481]~E(f326(f309(x94812,x94811,x94813),f241(f922(x94812,a910))),f241(f922(x94811,a910)))+P106(f326(f326(f234(f922(x94811,a910)),f326(f78(f922(x94811,a910)),f326(f309(x94812,x94811,x94813),x94814))),f326(f309(x94812,x94811,x94813),f326(f78(f922(x94812,a910)),x94814))))
% 178.51/178.25 [9814]P106(f326(f326(f328(f921(x98141,x98141)),f326(f326(f251(x98141,x98141),x98142),x98143)),f326(f285(x98141,x98141),f326(f326(f288(x98141,x98141,x98141),x98144),f306(x98141,x98144)))))+~P106(f326(f326(f328(f921(x98141,x98141)),f326(f326(f251(x98141,x98141),x98142),x98143)),f326(f326(f288(x98141,x98141,x98141),f326(f285(x98141,x98141),x98144)),f306(x98141,f326(f285(x98141,x98141),x98144)))))
% 178.51/178.25 [9815]~P106(f326(f326(f328(f921(x98151,x98151)),f326(f326(f251(x98151,x98151),x98152),x98153)),f326(f285(x98151,x98151),f326(f326(f288(x98151,x98151,x98151),x98154),f306(x98151,x98154)))))+P106(f326(f326(f328(f921(x98151,x98151)),f326(f326(f251(x98151,x98151),x98152),x98153)),f326(f326(f288(x98151,x98151,x98151),f326(f285(x98151,x98151),x98154)),f306(x98151,f326(f285(x98151,x98151),x98154)))))
% 178.51/178.25 [9836]~P106(f326(f326(f328(x98362),x98364),f326(f283(x98361,x98362),x98363)))+P106(f326(f326(f328(f921(x98361,x98362)),f326(f326(f251(x98361,x98362),f557(x98363,x98361,x98364,x98362)),x98364)),x98363))
% 178.51/178.25 [9837]~P106(f326(f326(f328(x98372),x98374),f326(f283(x98371,x98372),x98373)))+P106(f326(f326(f328(f921(x98371,x98372)),f326(f326(f251(x98371,x98372),f560(x98373,x98371,x98374,x98372)),x98374)),x98373))
% 178.51/178.25 [9862]~P106(f326(f326(f328(x98621),x98624),f326(f326(f110(f922(x98621,a910)),x98622),x98623)))+P106(f326(f326(f326(f110(f922(x98621,a910)),f326(f326(f9(x98621,f922(x98621,a910),a910),f328(x98621)),x98622)),f326(f326(f9(x98621,f922(x98621,a910),a910),f328(x98621)),x98623)),x98624))
% 178.51/178.25 [9863]~P106(f326(f326(f328(x98631),x98634),f326(f326(f101(f922(x98631,a910)),x98632),x98633)))+P106(f326(f326(f326(f101(f922(x98631,a910)),f326(f326(f9(x98631,f922(x98631,a910),a910),f328(x98631)),x98632)),f326(f326(f9(x98631,f922(x98631,a910),a910),f328(x98631)),x98633)),x98634))
% 178.51/178.25 [9943]~P106(f326(f326(f328(f921(x99431,x99431)),f326(f326(f251(x99431,x99431),x99434),x99433)),f326(f326(f288(x99431,x99431,x99431),x99432),f306(x99431,x99432))))+P106(f326(f326(f328(f921(x99431,x99431)),f326(f326(f251(x99431,x99431),f639(x99432,x99433,x99434,x99431)),x99433)),x99432))
% 178.51/178.25 [9978]P106(f326(f326(f328(x99781),x99782),f326(f326(f110(f922(x99781,a910)),x99783),x99784)))+~P106(f326(f326(f326(f110(f922(x99781,a910)),f326(f326(f9(x99781,f922(x99781,a910),a910),f328(x99781)),x99783)),f326(f326(f9(x99781,f922(x99781,a910),a910),f328(x99781)),x99784)),x99782))
% 178.51/178.25 [9979]P106(f326(f326(f328(x99791),x99792),f326(f326(f101(f922(x99791,a910)),x99793),x99794)))+~P106(f326(f326(f326(f101(f922(x99791,a910)),f326(f326(f9(x99791,f922(x99791,a910),a910),f328(x99791)),x99793)),f326(f326(f9(x99791,f922(x99791,a910),a910),f328(x99791)),x99794)),x99792))
% 178.51/178.25 [10250]P32(x102501,f326(f326(f9(x102501,f922(f921(x102501,x102501),a910),f922(x102501,a910)),f326(f326(f10(f922(x102501,f922(f922(f921(x102501,x102501),a910),a910)),f922(f922(f921(x102501,x102501),a910),f922(x102501,a910)),x102501),f9(x102501,f922(f921(x102501,x102501),a910),a910)),f326(f326(f10(f922(x102501,f921(x102501,x102501)),f922(x102501,f922(f922(f921(x102501,x102501),a910),a910)),x102501),f326(f10(f921(x102501,x102501),f922(f922(f921(x102501,x102501),a910),a910),x102501),f328(f921(x102501,x102501)))),f251(x102501,x102501)))),x102502),x102503,x102504)+~P106(f326(f326(f328(f921(f915(x102501),f915(x102501))),f326(f326(f251(f915(x102501),f915(x102501)),x102503),x102504)),f158(x102501,x102502)))
% 178.51/178.25 [10254]P58(x102541,f326(f326(f9(x102541,f922(f921(x102541,x102541),a910),f922(x102541,a910)),f326(f326(f10(f922(x102541,f922(f922(f921(x102541,x102541),a910),a910)),f922(f922(f921(x102541,x102541),a910),f922(x102541,a910)),x102541),f9(x102541,f922(f921(x102541,x102541),a910),a910)),f326(f326(f10(f922(x102541,f921(x102541,x102541)),f922(x102541,f922(f922(f921(x102541,x102541),a910),a910)),x102541),f326(f10(f921(x102541,x102541),f922(f922(f921(x102541,x102541),a910),a910),x102541),f328(f921(x102541,x102541)))),f251(x102541,x102541)))),x102542),x102543,x102544)+~P106(f326(f326(f328(f921(f922(x102541,a910),f922(x102541,a910))),f326(f326(f251(f922(x102541,a910),f922(x102541,a910)),x102543),x102544)),f318(x102541,x102542)))
% 178.51/178.25 [10292]E(x102921,x102922)+~E(f326(f326(f9(x102923,f922(f921(x102923,x102924),a910),f922(x102924,a910)),f326(f326(f10(f922(x102924,f922(f922(f921(x102923,x102924),a910),a910)),f922(f922(f921(x102923,x102924),a910),f922(x102924,a910)),x102923),f9(x102924,f922(f921(x102923,x102924),a910),a910)),f326(f326(f10(f922(x102924,f921(x102923,x102924)),f922(x102924,f922(f922(f921(x102923,x102924),a910),a910)),x102923),f326(f10(f921(x102923,x102924),f922(f922(f921(x102923,x102924),a910),a910),x102924),f328(f921(x102923,x102924)))),f251(x102923,x102924)))),x102921),f326(f326(f9(x102923,f922(f921(x102923,x102924),a910),f922(x102924,a910)),f326(f326(f10(f922(x102924,f922(f922(f921(x102923,x102924),a910),a910)),f922(f922(f921(x102923,x102924),a910),f922(x102924,a910)),x102923),f9(x102924,f922(f921(x102923,x102924),a910),a910)),f326(f326(f10(f922(x102924,f921(x102923,x102924)),f922(x102924,f922(f922(f921(x102923,x102924),a910),a910)),x102923),f326(f10(f921(x102923,x102924),f922(f922(f921(x102923,x102924),a910),a910),x102924),f328(f921(x102923,x102924)))),f251(x102923,x102924)))),x102922))
% 178.51/178.25 [10295]~P32(x102951,f326(f326(f9(x102951,f922(f921(x102951,x102951),a910),f922(x102951,a910)),f326(f326(f10(f922(x102951,f922(f922(f921(x102951,x102951),a910),a910)),f922(f922(f921(x102951,x102951),a910),f922(x102951,a910)),x102951),f9(x102951,f922(f921(x102951,x102951),a910),a910)),f326(f326(f10(f922(x102951,f921(x102951,x102951)),f922(x102951,f922(f922(f921(x102951,x102951),a910),a910)),x102951),f326(f10(f921(x102951,x102951),f922(f922(f921(x102951,x102951),a910),a910),x102951),f328(f921(x102951,x102951)))),f251(x102951,x102951)))),x102954),x102952,x102953)+P106(f326(f326(f328(f921(f915(x102951),f915(x102951))),f326(f326(f251(f915(x102951),f915(x102951)),x102952),x102953)),f158(x102951,x102954)))
% 178.51/178.25 [10296]~P58(x102961,f326(f326(f9(x102961,f922(f921(x102961,x102961),a910),f922(x102961,a910)),f326(f326(f10(f922(x102961,f922(f922(f921(x102961,x102961),a910),a910)),f922(f922(f921(x102961,x102961),a910),f922(x102961,a910)),x102961),f9(x102961,f922(f921(x102961,x102961),a910),a910)),f326(f326(f10(f922(x102961,f921(x102961,x102961)),f922(x102961,f922(f922(f921(x102961,x102961),a910),a910)),x102961),f326(f10(f921(x102961,x102961),f922(f922(f921(x102961,x102961),a910),a910),x102961),f328(f921(x102961,x102961)))),f251(x102961,x102961)))),x102964),x102962,x102963)+P106(f326(f326(f328(f921(f922(x102961,a910),f922(x102961,a910))),f326(f326(f251(f922(x102961,a910),f922(x102961,a910)),x102962),x102963)),f318(x102961,x102964)))
% 178.51/178.25 [7687]~P95(x76871)+E(f326(f326(f80(x76871),f326(f103(x76871),x76872)),f326(f326(f80(x76871),f326(f103(x76871),x76873)),x76874)),f326(f326(f80(x76871),f326(f103(x76871),f326(f326(f80(a1),x76872),x76873))),x76874))
% 178.51/178.25 [7688]~P95(x76881)+E(f326(f326(f79(x76881),f326(f103(x76881),x76882)),f326(f326(f3(x76881),f326(f103(x76881),x76883)),x76884)),f326(f326(f3(x76881),f326(f103(x76881),f326(f326(f79(a1),x76882),x76883))),x76884))
% 178.51/178.25 [7689]~P95(x76891)+E(f326(f326(f79(x76891),f326(f103(x76891),x76892)),f326(f326(f79(x76891),f326(f103(x76891),x76893)),x76894)),f326(f326(f79(x76891),f326(f103(x76891),f326(f326(f79(a1),x76892),x76893))),x76894))
% 178.51/178.25 [7728]~P144(x77281)+E(f326(f165(x77281),f326(f326(f154(x77282,x77281),f326(f18(x77281,x77282),x77283)),x77284)),f326(f326(f80(x77281),f326(f100(x77281),f326(f189(f915(x77282)),x77284))),x77283))
% 178.51/178.25 [7963]E(f326(f267(x79631,f326(f326(f151(f921(a99,x79631)),x79632),x79633)),x79634),f326(f255(a99,x79631),x79632))+~P106(f326(f326(f235(a99),x79634),f326(f250(a99,x79631),x79632)))
% 178.51/178.25 [8004]~P95(x80041)+E(f326(f326(f79(x80041),f326(f103(x80041),x80042)),f326(f326(f3(x80041),x80043),f326(f103(x80041),x80044))),f326(f326(f79(x80041),f326(f103(x80041),f326(f326(f79(a1),x80042),f326(f78(a1),x80044)))),x80043))
% 178.51/178.25 [8135]E(f326(f267(x81351,x81352),f326(f326(f3(a99),x81353),f326(f250(a99,x81351),x81354))),f326(f267(x81351,f326(f326(f151(f921(a99,x81351)),x81354),x81352)),x81353))+P106(f326(f326(f235(a99),x81353),f326(f250(a99,x81351),x81354)))
% 178.51/178.25 [8565]~P106(f326(f326(f328(x85651),x85652),f326(f172(x85651),f114(x85651,x85654))))+P106(f326(f326(f328(x85651),x85652),f326(f172(x85651),f114(x85651,f326(f326(f134(x85651),x85653),x85654)))))
% 178.51/178.25 [8566]~P106(f326(f326(f328(x85661),x85662),f326(f172(x85661),f114(x85661,x85663))))+P106(f326(f326(f328(x85661),x85662),f326(f172(x85661),f114(x85661,f326(f326(f134(x85661),x85663),x85664)))))
% 178.51/178.25 [8583]E(f326(f326(f110(f922(x85831,a910)),f326(f326(f101(f922(x85831,a910)),x85832),x85833)),x85834),f326(f326(f101(f922(x85831,a910)),x85832),f326(f326(f110(f922(x85831,a910)),x85833),x85834)))+~P106(f326(f326(f234(f922(x85831,a910)),x85834),x85832))
% 178.51/178.25 [8891]~E(f326(f326(f110(f922(x88911,a910)),f326(f326(f101(f922(x88911,a910)),x88913),x88914)),x88912),f326(f326(f101(f922(x88911,a910)),x88913),f326(f326(f110(f922(x88911,a910)),x88914),x88912)))+P106(f326(f326(f234(f922(x88911,a910)),x88912),x88913))
% 178.51/178.25 [9179]~P106(f326(f326(f234(f922(x91791,a910)),x91792),f326(f326(f110(f922(x91791,a910)),x91793),x91794)))+P106(f326(f326(f234(f922(x91791,a910)),f326(f326(f3(f922(x91791,a910)),x91792),x91793)),x91794))
% 178.51/178.25 [9294]~E(f326(f309(x92941,x92942,x92943),f241(f922(x92941,a910))),f241(f922(x92942,a910)))+E(f326(f309(x92941,x92942,x92943),f326(f309(x92942,x92941,f91(x92941,x92942,f241(f922(x92941,a910)),x92943)),x92944)),x92944)
% 178.51/178.25 [9299]P106(f326(f326(f234(f922(x92991,a910)),x92992),f326(f326(f110(f922(x92991,a910)),x92993),x92994)))+~P106(f326(f326(f234(f922(x92991,a910)),f326(f326(f3(f922(x92991,a910)),x92992),x92993)),x92994))
% 178.51/178.25 [9382]~P87(x93821)+E(f326(f75(x93821),f326(f326(f8(x93822,x93821),f326(f326(f10(x93821,x93821,x93822),f75(x93821)),x93823)),x93824)),f326(f326(f8(x93822,x93821),f326(f326(f10(x93821,x93821,x93822),f75(x93821)),x93823)),x93824))
% 178.51/178.25 [9557]~P87(x95571)+P106(f326(f326(f234(x95571),f2(x95571)),f326(f326(f8(x95572,x95571),f326(f326(f10(x95571,x95571,x95572),f75(x95571)),x95573)),x95574)))
% 178.51/178.25 [9561]~P67(x95611)+E(f326(f165(x95611),f326(f326(f154(x95612,x95611),f326(f72(x95611,x95611,x95612,f78(x95611)),x95613)),x95614)),f326(f78(x95611),f326(f165(x95611),f326(f326(f154(x95612,x95611),x95613),x95614))))
% 178.51/178.25 [9710]~P87(x97101)+P106(f326(f326(f234(x97101),f326(f75(x97101),f326(f326(f8(x97102,x97101),x97103),x97104))),f326(f326(f8(x97102,x97101),f326(f326(f10(x97101,x97101,x97102),f75(x97101)),x97103)),x97104)))
% 178.51/178.25 [9739]~E(f326(f326(f79(a914),x97391),x97394),f326(f326(f79(a914),x97393),x97392))+P106(f326(f326(f328(f921(f921(a914,a914),f921(a914,a914))),f326(f326(f251(f921(a914,a914),f921(a914,a914)),f326(f326(f251(a914,a914),x97391),x97392)),f326(f326(f251(a914,a914),x97393),x97394))),a108))
% 178.51/178.25 [9740]~P106(f326(f326(f235(a914),x97401),x97403))+P106(f326(f326(f328(f921(f921(a914,a914),f921(a914,a914))),f326(f326(f251(f921(a914,a914),f921(a914,a914)),f326(f326(f251(a914,a914),x97401),x97402)),f326(f326(f251(a914,a914),x97403),x97404))),a32))
% 178.51/178.25 [9741]~P106(f326(f326(f235(a914),x97411),x97413))+P106(f326(f326(f328(f921(f921(a914,a914),f921(a914,a914))),f326(f326(f251(f921(a914,a914),f921(a914,a914)),f326(f326(f251(a914,a914),x97411),x97412)),f326(f326(f251(a914,a914),x97413),x97414))),a70))
% 178.51/178.25 [9887]E(f326(f326(f79(a914),x98871),x98872),f326(f326(f79(a914),x98873),x98874))+~P106(f326(f326(f328(f921(f921(a914,a914),f921(a914,a914))),f326(f326(f251(f921(a914,a914),f921(a914,a914)),f326(f326(f251(a914,a914),x98871),x98874)),f326(f326(f251(a914,a914),x98873),x98872))),a108))
% 178.51/178.25 [9918]E(f326(f326(f164(x99181),f326(f326(f138(x99181),f326(f189(f915(x99181)),f177(x99181,x99182,x99183))),x99183)),x99184),f326(f326(f164(x99181),x99183),f326(f326(f79(a914),x99184),f326(f189(f915(x99181)),f177(x99181,x99182,x99183)))))+~P106(f326(f326(f235(a914),x99184),f326(f189(f915(x99181)),f326(f326(f138(x99181),f326(f189(f915(x99181)),f177(x99181,x99182,x99183))),x99183))))
% 178.51/178.25 [9934]~P106(f326(f326(f328(x99342),x99344),f326(f326(f39(x99341,f922(x99342,a910)),f241(f922(x99341,a910))),x99343)))+P106(f326(f326(f326(f39(x99341,f922(x99342,a910)),f241(f922(x99341,a910))),f326(f326(f10(f922(x99342,a910),f922(x99342,a910),x99341),f326(f9(x99342,f922(x99342,a910),a910),f328(x99342))),x99343)),x99344))
% 178.51/178.25 [9935]~P106(f326(f326(f328(x99352),x99354),f326(f326(f40(x99351,f922(x99352,a910)),f241(f922(x99351,a910))),x99353)))+P106(f326(f326(f326(f40(x99351,f922(x99352,a910)),f241(f922(x99351,a910))),f326(f326(f10(f922(x99352,a910),f922(x99352,a910),x99351),f326(f9(x99352,f922(x99352,a910),a910),f328(x99352))),x99353)),x99354))
% 178.51/178.25 [10005]~P106(f326(f49(x100051,x100052),f326(f326(f251(a1,a1),x100054),x100053)))+P106(f326(f49(f326(f78(a1),x100051),x100052),f326(f326(f251(a1,a1),f326(f326(f326(f96(a1),f326(f326(a323,x100053),f2(a1))),f326(f78(a1),x100054)),f326(f326(f3(a1),f326(f78(a1),x100054)),f77(a1)))),f326(f326(f326(f96(a1),f326(f326(a323,x100053),f2(a1))),f2(a1)),f326(f326(f3(a1),x100052),x100053)))))
% 178.51/178.25 [10017]P106(f326(f326(f328(x100171),x100172),f326(f326(f39(x100173,f922(x100171,a910)),f241(f922(x100173,a910))),x100174)))+~P106(f326(f326(f326(f39(x100173,f922(x100171,a910)),f241(f922(x100173,a910))),f326(f326(f10(f922(x100171,a910),f922(x100171,a910),x100173),f326(f9(x100171,f922(x100171,a910),a910),f328(x100171))),x100174)),x100172))
% 178.51/178.25 [10018]P106(f326(f326(f328(x100181),x100182),f326(f326(f40(x100183,f922(x100181,a910)),f241(f922(x100183,a910))),x100184)))+~P106(f326(f326(f326(f40(x100183,f922(x100181,a910)),f241(f922(x100183,a910))),f326(f326(f10(f922(x100181,a910),f922(x100181,a910),x100183),f326(f9(x100181,f922(x100181,a910),a910),f328(x100181))),x100184)),x100182))
% 178.51/178.25 [10030]E(f326(f326(f40(a914,f922(x100301,a910)),f241(f922(a914,a910))),x100302),f326(f326(f40(a914,f922(x100301,a910)),f241(f922(a914,a910))),x100303))+~E(f326(f326(f40(a914,f922(x100301,a910)),f326(f301(a914,f2(a914)),f480(x100302,x100304,x100303,x100301))),x100303),f326(f326(f40(a914,f922(x100301,a910)),f326(f301(a914,f2(a914)),f326(f326(f79(a914),f480(x100302,x100304,x100303,x100301)),x100304))),x100302))
% 178.51/178.25 [10376]~P106(f326(f326(f234(f922(f921(x103761,x103762),a910)),x103763),x103764))+P106(f326(f326(f234(f922(x103761,f922(x103762,a910))),f326(f326(f9(x103761,f922(f921(x103761,x103762),a910),f922(x103762,a910)),f326(f326(f10(f922(x103762,f922(f922(f921(x103761,x103762),a910),a910)),f922(f922(f921(x103761,x103762),a910),f922(x103762,a910)),x103761),f9(x103762,f922(f921(x103761,x103762),a910),a910)),f326(f326(f10(f922(x103762,f921(x103761,x103762)),f922(x103762,f922(f922(f921(x103761,x103762),a910),a910)),x103761),f326(f10(f921(x103761,x103762),f922(f922(f921(x103761,x103762),a910),a910),x103762),f328(f921(x103761,x103762)))),f251(x103761,x103762)))),x103763)),f326(f326(f9(x103761,f922(f921(x103761,x103762),a910),f922(x103762,a910)),f326(f326(f10(f922(x103762,f922(f922(f921(x103761,x103762),a910),a910)),f922(f922(f921(x103761,x103762),a910),f922(x103762,a910)),x103761),f9(x103762,f922(f921(x103761,x103762),a910),a910)),f326(f326(f10(f922(x103762,f921(x103761,x103762)),f922(x103762,f922(f922(f921(x103761,x103762),a910),a910)),x103761),f326(f10(f921(x103761,x103762),f922(f922(f921(x103761,x103762),a910),a910),x103762),f328(f921(x103761,x103762)))),f251(x103761,x103762)))),x103764)))
% 178.51/178.25 [10393]P106(f326(f326(f234(f922(f921(x103931,x103932),a910)),x103933),x103934))+~P106(f326(f326(f234(f922(x103931,f922(x103932,a910))),f326(f326(f9(x103931,f922(f921(x103931,x103932),a910),f922(x103932,a910)),f326(f326(f10(f922(x103932,f922(f922(f921(x103931,x103932),a910),a910)),f922(f922(f921(x103931,x103932),a910),f922(x103932,a910)),x103931),f9(x103932,f922(f921(x103931,x103932),a910),a910)),f326(f326(f10(f922(x103932,f921(x103931,x103932)),f922(x103932,f922(f922(f921(x103931,x103932),a910),a910)),x103931),f326(f10(f921(x103931,x103932),f922(f922(f921(x103931,x103932),a910),a910),x103932),f328(f921(x103931,x103932)))),f251(x103931,x103932)))),x103933)),f326(f326(f9(x103931,f922(f921(x103931,x103932),a910),f922(x103932,a910)),f326(f326(f10(f922(x103932,f922(f922(f921(x103931,x103932),a910),a910)),f922(f922(f921(x103931,x103932),a910),f922(x103932,a910)),x103931),f9(x103932,f922(f921(x103931,x103932),a910),a910)),f326(f326(f10(f922(x103932,f921(x103931,x103932)),f922(x103932,f922(f922(f921(x103931,x103932),a910),a910)),x103931),f326(f10(f921(x103931,x103932),f922(f922(f921(x103931,x103932),a910),a910),x103932),f328(f921(x103931,x103932)))),f251(x103931,x103932)))),x103934)))
% 178.51/178.25 [9430]~P106(f326(f326(f328(f921(x94301,x94301)),x94302),f306(x94301,x94304)))+P106(f326(f326(f328(f921(x94301,x94301)),x94302),f306(x94301,f326(f326(f110(f922(f921(x94301,x94301),a910)),x94303),x94304))))
% 178.51/178.25 [9431]~P106(f326(f326(f328(f921(x94311,x94311)),x94312),f306(x94311,x94313)))+P106(f326(f326(f328(f921(x94311,x94311)),x94312),f306(x94311,f326(f326(f110(f922(f921(x94311,x94311),a910)),x94313),x94314))))
% 178.51/178.25 [10117]~P106(f326(f326(f234(a914),f326(f326(f79(a914),x101171),x101174)),f326(f326(f79(a914),x101173),x101172)))+P106(f326(f326(f234(a1),f326(a88,f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),f326(f326(f251(a914,a914),x101171),x101172)),f188(f922(f921(a914,a914),a910)))))),f326(a88,f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),f326(f326(f251(a914,a914),x101173),x101174)),f188(f922(f921(a914,a914),a910)))))))
% 178.51/178.25 [10118]~P106(f326(f326(f235(a914),f326(f326(f79(a914),x101181),x101184)),f326(f326(f79(a914),x101183),x101182)))+P106(f326(f326(f235(a1),f326(a88,f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),f326(f326(f251(a914,a914),x101181),x101182)),f188(f922(f921(a914,a914),a910)))))),f326(a88,f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),f326(f326(f251(a914,a914),x101183),x101184)),f188(f922(f921(a914,a914),a910)))))))
% 178.51/178.25 [10195]P106(f326(f326(f234(a914),f326(f326(f79(a914),x101951),x101952)),f326(f326(f79(a914),x101953),x101954)))+~P106(f326(f326(f234(a1),f326(a88,f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),f326(f326(f251(a914,a914),x101951),x101954)),f188(f922(f921(a914,a914),a910)))))),f326(a88,f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),f326(f326(f251(a914,a914),x101953),x101952)),f188(f922(f921(a914,a914),a910)))))))
% 178.51/178.25 [10196]P106(f326(f326(f235(a914),f326(f326(f79(a914),x101961),x101962)),f326(f326(f79(a914),x101963),x101964)))+~P106(f326(f326(f235(a1),f326(a88,f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),f326(f326(f251(a914,a914),x101961),x101964)),f188(f922(f921(a914,a914),a910)))))),f326(a88,f326(f284(f921(a914,a914),f921(a914,a914),a108),f326(f326(f308(f921(a914,a914)),f326(f326(f251(a914,a914),x101963),x101962)),f188(f922(f921(a914,a914),a910)))))))
% 178.51/178.25 [10236]P106(f326(f326(f234(f922(x102361,a910)),f326(f326(f40(a914,f922(x102361,a910)),f241(f922(a914,a910))),x102362)),f326(f326(f40(a914,f922(x102361,a910)),f241(f922(a914,a910))),x102363)))+~P106(f326(f326(f234(f922(x102361,a910)),f326(f326(f40(a914,f922(x102361,a910)),f326(f301(a914,f2(a914)),f481(x102363,x102364,x102362,x102361))),x102362)),f326(f326(f40(a914,f922(x102361,a910)),f326(f301(a914,f2(a914)),f326(f326(f79(a914),f481(x102363,x102364,x102362,x102361)),x102364))),x102363)))
% 178.51/178.25 [10299]P106(f326(f326(f234(a99),x102994),f2(a99)))+E(f326(f326(f258(f921(a99,a99),f921(x102991,f922(a917,a322)),f921(a99,a99),f921(f922(a99,f922(a910,f918(f916(x102991)))),f921(a99,a99))),f326(x102992,x102993)),f326(f326(f10(f922(f922(a99,f922(a910,f918(f916(x102991)))),f922(f921(a99,a99),f921(f922(a99,f922(a910,f918(f916(x102991)))),f921(a99,a99)))),f922(f921(a99,a99),f921(f922(a99,f922(a910,f918(f916(x102991)))),f921(a99,a99))),f921(x102991,f922(a917,a322))),f326(f258(f921(a99,a99),f922(a99,f922(a910,f918(f916(x102991)))),f921(a99,a99),f921(f922(a99,f922(a910,f918(f916(x102991)))),f921(a99,a99))),f276(x102991,x102992,f326(f326(f3(a99),x102994),f77(a99)),x102993))),f326(f326(f10(f922(f922(a99,f922(a910,f918(f916(x102991)))),f922(a99,f922(a910,f918(f916(x102991))))),f922(f922(a99,f922(a910,f918(f916(x102991)))),f922(f921(a99,a99),f921(f922(a99,f922(a910,f918(f916(x102991)))),f921(a99,a99)))),f921(x102991,f922(a917,a322))),f326(f10(f922(a99,f922(a910,f918(f916(x102991)))),f922(f921(a99,a99),f921(f922(a99,f922(a910,f918(f916(x102991)))),f921(a99,a99))),f922(a99,f922(a910,f918(f916(x102991))))),f251(f922(a99,f922(a910,f918(f916(x102991)))),f921(a99,a99)))),f326(f326(f10(f922(a99,f922(a910,f918(f916(x102991)))),f922(f922(a99,f922(a910,f918(f916(x102991)))),f922(a99,f922(a910,f918(f916(x102991))))),f921(x102991,f922(a917,a322))),f44(x102991)),f326(f326(f10(x102991,f922(a99,f922(a910,f918(f916(x102991)))),f921(x102991,f922(a917,a322))),f42(x102991)),f250(x102991,f922(a917,a322))))))),f276(x102991,x102992,x102994,x102993))
% 178.51/178.25 [10365]~P106(f326(f326(f328(x103652),x103654),f326(f283(x103651,x103652),x103653)))+P106(f326(f249(x103651,x103652,f326(f326(f9(x103651,f922(f921(x103651,x103652),a910),f922(x103652,a910)),f326(f326(f10(f922(x103652,f922(f922(f921(x103651,x103652),a910),a910)),f922(f922(f921(x103651,x103652),a910),f922(x103652,a910)),x103651),f9(x103652,f922(f921(x103651,x103652),a910),a910)),f326(f326(f10(f922(x103652,f921(x103651,x103652)),f922(x103652,f922(f922(f921(x103651,x103652),a910),a910)),x103651),f326(f10(f921(x103651,x103652),f922(f922(f921(x103651,x103652),a910),a910),x103652),f328(f921(x103651,x103652)))),f251(x103651,x103652)))),x103653)),x103654))
% 178.51/178.25 [10366]~P106(f326(f326(f328(x103661),x103664),f326(f263(x103661,x103662),x103663)))+P106(f326(f248(x103661,x103662,f326(f326(f9(x103661,f922(f921(x103661,x103662),a910),f922(x103662,a910)),f326(f326(f10(f922(x103662,f922(f922(f921(x103661,x103662),a910),a910)),f922(f922(f921(x103661,x103662),a910),f922(x103662,a910)),x103661),f9(x103662,f922(f921(x103661,x103662),a910),a910)),f326(f326(f10(f922(x103662,f921(x103661,x103662)),f922(x103662,f922(f922(f921(x103661,x103662),a910),a910)),x103661),f326(f10(f921(x103661,x103662),f922(f922(f921(x103661,x103662),a910),a910),x103662),f328(f921(x103661,x103662)))),f251(x103661,x103662)))),x103663)),x103664))
% 178.51/178.25 [10379]P106(f326(f326(f328(x103791),x103792),f326(f283(x103793,x103791),x103794)))+~P106(f326(f249(x103793,x103791,f326(f326(f9(x103793,f922(f921(x103793,x103791),a910),f922(x103791,a910)),f326(f326(f10(f922(x103791,f922(f922(f921(x103793,x103791),a910),a910)),f922(f922(f921(x103793,x103791),a910),f922(x103791,a910)),x103793),f9(x103791,f922(f921(x103793,x103791),a910),a910)),f326(f326(f10(f922(x103791,f921(x103793,x103791)),f922(x103791,f922(f922(f921(x103793,x103791),a910),a910)),x103793),f326(f10(f921(x103793,x103791),f922(f922(f921(x103793,x103791),a910),a910),x103791),f328(f921(x103793,x103791)))),f251(x103793,x103791)))),x103794)),x103792))
% 178.51/178.25 [10380]P106(f326(f326(f328(x103801),x103802),f326(f263(x103801,x103803),x103804)))+~P106(f326(f248(x103801,x103803,f326(f326(f9(x103801,f922(f921(x103801,x103803),a910),f922(x103803,a910)),f326(f326(f10(f922(x103803,f922(f922(f921(x103801,x103803),a910),a910)),f922(f922(f921(x103801,x103803),a910),f922(x103803,a910)),x103801),f9(x103803,f922(f921(x103801,x103803),a910),a910)),f326(f326(f10(f922(x103803,f921(x103801,x103803)),f922(x103803,f922(f922(f921(x103801,x103803),a910),a910)),x103801),f326(f10(f921(x103801,x103803),f922(f922(f921(x103801,x103803),a910),a910),x103803),f328(f921(x103801,x103803)))),f251(x103801,x103803)))),x103804)),x103802))
% 178.51/178.25 [10041]P106(f326(f160(x100411,x100412),x100413))+~P106(f326(f160(x100411,f326(f326(f20(x100411,a910,a910),f326(f326(f10(a910,f922(a910,a910),x100411),a325),x100414)),x100412)),x100413))
% 178.51/178.25 [10042]P106(f326(f160(x100421,x100422),x100423))+~P106(f326(f160(x100421,f326(f326(f20(x100421,a910,a910),f326(f326(f10(a910,f922(a910,a910),x100421),a325),x100422)),x100424)),x100423))
% 178.51/178.25 [10119]~P113(x101191)+E(f326(f326(f80(x101191),f326(f326(f79(x101191),f77(x101191)),f77(x101191))),f326(f326(f8(a914,x101191),f326(f326(f10(x101191,x101191,a914),f326(f79(x101191),x101192)),f326(f326(f9(a914,x101191,x101191),f326(f326(f10(x101191,f922(x101191,x101191),a914),f80(x101191)),f100(x101191))),x101193))),f326(f281(a914),x101194))),f326(f326(f80(x101191),f326(f100(x101191),x101194)),f326(f326(f79(x101191),x101192),f326(f326(f79(x101191),x101192),f326(f326(f80(x101191),f326(f100(x101191),f326(f326(f3(a914),x101194),f77(a914)))),x101193)))))
% 178.51/178.25 [10257]P106(f326(x102571,f571(x102572,x102573,x102574,x102571)))+P37(x102572,f326(f261(f921(x102572,x102572)),f326(f256(x102572,x102572,a910),f326(f326(f10(f922(x102572,a910),f922(x102572,a910),x102572),f326(f20(x102572,a910,a910),f326(f326(f10(a910,f922(a910,a910),x102572),a325),x102571))),f326(f326(f9(x102572,f922(x102572,x102572),f922(x102572,a910)),f326(f326(f10(f922(x102572,a910),f922(f922(x102572,x102572),f922(x102572,a910)),x102572),f10(x102572,a910,x102572)),a323)),x102573)))))
% 178.51/178.25 [10274]~P106(f326(f326(f235(a914),f326(x102744,f326(x102743,f571(x102741,x102743,x102744,x102742)))),f326(x102744,f571(x102741,x102743,x102744,x102742))))+P37(x102741,f326(f261(f921(x102741,x102741)),f326(f256(x102741,x102741,a910),f326(f326(f10(f922(x102741,a910),f922(x102741,a910),x102741),f326(f20(x102741,a910,a910),f326(f326(f10(a910,f922(a910,a910),x102741),a325),x102742))),f326(f326(f9(x102741,f922(x102741,x102741),f922(x102741,a910)),f326(f326(f10(f922(x102741,a910),f922(f922(x102741,x102741),f922(x102741,a910)),x102741),f10(x102741,a910,x102741)),a323)),x102743)))))
% 178.51/178.25 [10350]~P4(x103501)+E(f37(x103501,f326(f261(x103501),f326(f326(f10(f922(f922(x103502,x103501),a910),a910,x103501),f86(f922(x103502,x103501))),f326(f326(f10(f922(f922(x103502,x103501),a910),f922(f922(x103502,x103501),a910),x103501),f326(f20(f922(x103502,x103501),a910,a910),f326(f326(f10(a910,f922(a910,a910),f922(x103502,x103501)),a325),f326(f326(f9(f922(x103502,x103501),f922(f922(x103502,x103501),a910),a910),f328(f922(x103502,x103501))),x103503)))),f326(f326(f9(x103501,f922(f922(x103502,x103501),x103501),f922(f922(x103502,x103501),a910)),f326(f326(f10(f922(x103501,a910),f922(f922(f922(x103502,x103501),x103501),f922(f922(x103502,x103501),a910)),x103501),f10(x103501,a910,f922(x103502,x103501))),a323)),f326(f326(f9(f922(x103502,x103501),x103502,x103501),f7(f922(x103502,x103501))),x103504)))))),f326(f37(f922(x103502,x103501),x103503),x103504))
% 178.51/178.25 [10351]~P4(x103511)+E(f37(x103511,f326(f261(x103511),f326(f326(f10(f922(f922(x103512,x103511),a910),a910,x103511),f86(f922(x103512,x103511))),f326(f326(f10(f922(f922(x103512,x103511),a910),f922(f922(x103512,x103511),a910),x103511),f326(f20(f922(x103512,x103511),a910,a910),f326(f326(f10(a910,f922(a910,a910),f922(x103512,x103511)),a325),f326(f326(f9(f922(x103512,x103511),f922(f922(x103512,x103511),a910),a910),f328(f922(x103512,x103511))),x103513)))),f326(f326(f9(x103511,f922(f922(x103512,x103511),x103511),f922(f922(x103512,x103511),a910)),f326(f326(f10(f922(x103511,a910),f922(f922(f922(x103512,x103511),x103511),f922(f922(x103512,x103511),a910)),x103511),f10(x103511,a910,f922(x103512,x103511))),a323)),f326(f326(f9(f922(x103512,x103511),x103512,x103511),f7(f922(x103512,x103511))),x103514)))))),f326(f37(f922(x103512,x103511),x103513),x103514))
% 178.51/178.25 [10352]~P4(x103521)+E(f38(x103521,f326(f261(x103521),f326(f326(f10(f922(f922(x103522,x103521),a910),a910,x103521),f86(f922(x103522,x103521))),f326(f326(f10(f922(f922(x103522,x103521),a910),f922(f922(x103522,x103521),a910),x103521),f326(f20(f922(x103522,x103521),a910,a910),f326(f326(f10(a910,f922(a910,a910),f922(x103522,x103521)),a325),f326(f326(f9(f922(x103522,x103521),f922(f922(x103522,x103521),a910),a910),f328(f922(x103522,x103521))),x103523)))),f326(f326(f9(x103521,f922(f922(x103522,x103521),x103521),f922(f922(x103522,x103521),a910)),f326(f326(f10(f922(x103521,a910),f922(f922(f922(x103522,x103521),x103521),f922(f922(x103522,x103521),a910)),x103521),f10(x103521,a910,f922(x103522,x103521))),a323)),f326(f326(f9(f922(x103522,x103521),x103522,x103521),f7(f922(x103522,x103521))),x103524)))))),f326(f38(f922(x103522,x103521),x103523),x103524))
% 178.51/178.25 [10353]~P4(x103531)+E(f38(x103531,f326(f261(x103531),f326(f326(f10(f922(f922(x103532,x103531),a910),a910,x103531),f86(f922(x103532,x103531))),f326(f326(f10(f922(f922(x103532,x103531),a910),f922(f922(x103532,x103531),a910),x103531),f326(f20(f922(x103532,x103531),a910,a910),f326(f326(f10(a910,f922(a910,a910),f922(x103532,x103531)),a325),f326(f326(f9(f922(x103532,x103531),f922(f922(x103532,x103531),a910),a910),f328(f922(x103532,x103531))),x103533)))),f326(f326(f9(x103531,f922(f922(x103532,x103531),x103531),f922(f922(x103532,x103531),a910)),f326(f326(f10(f922(x103531,a910),f922(f922(f922(x103532,x103531),x103531),f922(f922(x103532,x103531),a910)),x103531),f10(x103531,a910,f922(x103532,x103531))),a323)),f326(f326(f9(f922(x103532,x103531),x103532,x103531),f7(f922(x103532,x103531))),x103534)))))),f326(f38(f922(x103532,x103531),x103533),x103534))
% 178.51/178.25 [10407]~P106(f326(f326(f328(f921(x104071,x104071)),f326(f326(f251(x104071,x104071),x104073),x104074)),f326(f326(f110(f922(f921(x104071,x104071),a910)),x104072),f306(x104071,f188(f922(f921(x104071,x104071),a910))))))+P106(f326(f326(f326(f326(f110(f922(x104071,f922(x104071,a910))),f326(f326(f9(x104071,f922(f921(x104071,x104071),a910),f922(x104071,a910)),f326(f326(f10(f922(x104071,f922(f922(f921(x104071,x104071),a910),a910)),f922(f922(f921(x104071,x104071),a910),f922(x104071,a910)),x104071),f9(x104071,f922(f921(x104071,x104071),a910),a910)),f326(f326(f10(f922(x104071,f921(x104071,x104071)),f922(x104071,f922(f922(f921(x104071,x104071),a910),a910)),x104071),f326(f10(f921(x104071,x104071),f922(f922(f921(x104071,x104071),a910),a910),x104071),f328(f921(x104071,x104071)))),f251(x104071,x104071)))),x104072)),a323),x104073),x104074))
% 178.51/178.25 [10417]P106(f326(f326(f328(f921(x104171,x104171)),f326(f326(f251(x104171,x104171),x104172),x104173)),f326(f326(f110(f922(f921(x104171,x104171),a910)),x104174),f306(x104171,f188(f922(f921(x104171,x104171),a910))))))+~P106(f326(f326(f326(f326(f110(f922(x104171,f922(x104171,a910))),f326(f326(f9(x104171,f922(f921(x104171,x104171),a910),f922(x104171,a910)),f326(f326(f10(f922(x104171,f922(f922(f921(x104171,x104171),a910),a910)),f922(f922(f921(x104171,x104171),a910),f922(x104171,a910)),x104171),f9(x104171,f922(f921(x104171,x104171),a910),a910)),f326(f326(f10(f922(x104171,f921(x104171,x104171)),f922(x104171,f922(f922(f921(x104171,x104171),a910),a910)),x104171),f326(f10(f921(x104171,x104171),f922(f922(f921(x104171,x104171),a910),a910),x104171),f328(f921(x104171,x104171)))),f251(x104171,x104171)))),x104174)),a323),x104172),x104173))
% 178.51/178.25 [10361]E(f326(f326(f151(f915(x103611)),f326(f326(f151(x103611),x103612),f326(f142(f915(x103611),f915(x103611),f134(x103611),f113(x103611)),f326(f326(f154(f915(x103611),f915(x103611)),f156(f915(x103611),x103611,f113(x103611),f326(f326(f10(f915(x103611),f922(f915(x103611),f915(x103611)),x103611),f18(f915(x103611),f915(x103611))),f326(f326(f9(x103611,f915(x103611),f915(x103611)),f151(x103611)),f113(x103611))))),x103613)))),f179(x103611,f326(f326(f151(f915(x103611)),x103614),f326(f142(f915(f915(x103611)),f915(f915(x103611)),f134(f915(x103611)),f113(f915(x103611))),f326(f326(f154(f915(x103611),f915(f915(x103611))),f156(f915(f915(x103611)),x103611,f113(f915(x103611)),f326(f18(f922(f915(x103611),f915(f915(x103611))),x103611),f326(f326(f9(f915(x103611),f915(f915(x103611)),f915(f915(x103611))),f151(f915(x103611))),f113(f915(x103611)))))),x103613))))),f179(x103611,f326(f326(f151(f915(x103611)),f326(f326(f151(x103611),x103612),x103614)),x103613)))+~P106(f326(f314(f915(f915(x103611)),f180(x103611)),f326(f326(f151(f915(x103611)),f326(f326(f151(x103611),x103612),x103614)),x103613)))
% 178.51/178.25 [10406]~P106(f326(f61(x104062),f326(f261(x104062),x104064)))+P106(f326(f61(x104061),f326(f261(x104061),f326(f326(f10(f922(x104062,a910),a910,x104061),f86(x104062)),f326(f326(f9(x104061,f922(x104062,a910),f922(x104062,a910)),f326(f326(f10(f922(x104062,f922(a910,a910)),f922(f922(x104062,a910),f922(x104062,a910)),x104061),f20(x104062,a910,a910)),f326(f326(f10(f922(x104062,a910),f922(x104062,f922(a910,a910)),x104061),f326(f10(a910,f922(a910,a910),x104062),a325)),f326(f326(f9(x104061,f922(x104062,x104061),f922(x104062,a910)),f326(f326(f10(f922(x104061,a910),f922(f922(x104062,x104061),f922(x104062,a910)),x104061),f10(x104061,a910,x104062)),a323)),x104063)))),x104064)))))
% 178.51/178.25 [8929]P24(x89291,x89292,x89293,x89294)+~P25(x89291,x89292,x89293,x89294,x89295)
% 178.51/178.25 [5448]E(x54481,x54482)+~E(f169(x54483,x54481,x54484),f169(x54483,x54482,x54485))
% 178.51/178.25 [5449]E(x54491,x54492)+~E(f126(x54493,x54494,x54491),f126(x54493,x54495,x54492))
% 178.51/178.25 [5450]E(x54501,x54502)+~E(f126(x54503,x54501,x54504),f126(x54503,x54502,x54505))
% 178.51/178.25 [8266]~E(f326(x82663,x82664),x82665)+E(f74(x82661,x82662,x82663,x82664,x82665),x82663)
% 178.51/178.25 [8787]~E(f74(x87874,x87875,x87871,x87872,x87873),x87871)+E(f326(x87871,x87872),x87873)
% 178.51/178.25 [9401]~P25(x94012,x94011,x94014,x94013,x94015)+P25(x94011,x94012,f76(x94012,x94011,x94013,x94014),x94015,x94013)
% 178.51/178.25 [9402]~P25(x94022,x94021,x94024,x94023,x94025)+P25(x94021,x94022,f91(x94022,x94021,x94023,x94024),x94025,x94023)
% 178.51/178.25 [6255]P106(f326(f249(x62551,x62552,x62553),x62554))+~P106(f326(f326(x62553,x62555),x62554))
% 178.51/178.25 [6257]P106(f326(f248(x62571,x62572,x62573),x62574))+~P106(f326(f326(x62573,x62574),x62575))
% 178.51/178.25 [6736]~E(x67365,f2(a99))+E(f326(f198(x67361,x67362,x67363,x67364),x67365),f115(x67362))
% 178.51/178.25 [6737]~E(x67375,f2(a99))+E(f326(f196(x67371,x67372,x67373,x67374),x67375),f124(x67372))
% 178.51/178.25 [6874]~E(x68743,f2(a99))+E(f326(f272(x68741,x68742,x68743,x68744),x68745),f326(f251(x68741,x68742),x68745))
% 178.51/178.25 [7919]~P19(x79194,x79191,x79192,x79195)+E(f326(f72(x79191,x79191,x79191,f326(x79192,x79193)),f326(x79192,x79193)),f326(x79192,x79193))
% 178.51/178.25 [8303]~P15(x83035,x83031,x83032)+E(f326(f72(x83031,x83031,x83031,f326(x83032,x83033)),f326(x83032,x83034)),f326(f72(x83031,x83031,x83031,f326(x83032,x83034)),f326(x83032,x83033)))
% 178.51/178.25 [8623]P106(f326(f326(f328(f921(x86231,x86231)),f326(f326(f251(x86231,x86231),x86232),x86233)),f320(x86231,x86234,x86235)))+~P106(f326(f326(f235(a914),f326(x86234,x86232)),f326(x86234,x86233)))
% 178.51/178.25 [8715]~P106(f326(f326(f328(x87154),x87153),f298(x87154,x87151,x87152,x87155)))+P106(f326(f326(x87151,x87152),x87153))
% 178.51/178.25 [8716]~P106(f326(f326(f328(x87164),x87163),f295(x87164,x87161,x87162,x87165)))+P106(f326(f326(x87161,x87162),x87163))
% 178.51/178.25 [8717]~P106(f326(f326(f328(x87174),x87172),f298(x87174,x87171,x87175,x87173)))+P106(f326(f326(x87171,x87172),x87173))
% 178.51/178.25 [8718]~P106(f326(f326(f328(x87184),x87182),f295(x87184,x87181,x87185,x87183)))+P106(f326(f326(x87181,x87182),x87183))
% 178.51/178.25 [8799]~P25(x87991,x87993,x87995,x87992,x87994)+E(f326(f35(x87991),x87992),f326(f35(x87993),x87994))
% 178.51/178.25 [8847]~P25(x88471,x88472,x88473,x88474,x88475)+E(f326(f309(x88471,x88472,x88473),x88474),x88475)
% 178.51/178.25 [8867]~P56(x88672,x88671,x88675,x88673,x88674)+E(f326(f309(x88671,x88672,x88673),x88674),f241(f922(x88672,a910)))
% 178.51/178.25 [9311]~P34(x93111,x93112,x93113,x93114,x93115)+P34(x93111,x93112,x93113,f326(f168(x93111),x93114),f326(f168(x93112),x93115))
% 178.51/178.25 [9313]~P34(x93131,x93132,x93133,f326(f168(x93131),x93134),x93135)+P34(x93131,x93132,x93133,x93134,f326(f168(x93132),x93135))
% 178.51/178.25 [9314]~P34(x93141,x93142,x93143,x93144,f326(f168(x93142),x93145))+P34(x93141,x93142,x93143,f326(f168(x93141),x93144),x93145)
% 178.51/178.25 [9320]P34(x93201,x93202,x93203,x93204,x93205)+~P34(x93201,x93202,x93203,f326(f168(x93201),x93204),f326(f168(x93202),x93205))
% 178.51/178.25 [9729]P106(f326(f326(f328(f921(f915(x97291),f915(x97291))),f326(f326(f251(f915(x97291),f915(x97291)),f326(f326(f151(x97291),x97292),x97293)),f326(f326(f151(x97291),x97292),x97294))),f157(x97291,x97295)))+~P106(f326(f326(f328(f921(f915(x97291),f915(x97291))),f326(f326(f251(f915(x97291),f915(x97291)),x97293),x97294)),f157(x97291,x97295)))
% 178.51/178.25 [9730]P106(f326(f326(f328(f921(f915(x97301),f915(x97301))),f326(f326(f251(f915(x97301),f915(x97301)),f326(f326(f134(x97301),x97302),x97303)),f326(f326(f134(x97301),x97302),x97304))),f147(x97301,x97305)))+~P106(f326(f326(f328(f921(f915(x97301),f915(x97301))),f326(f326(f251(f915(x97301),f915(x97301)),x97303),x97304)),f147(x97301,x97305)))
% 178.51/178.25 [9925]E(f326(f326(f151(x99251),f652(x99252,x99253,x99254,x99255,x99251)),f653(x99252,x99253,x99254,x99255,x99251)),x99255)+~P106(f326(f326(f328(f921(f915(x99251),f915(x99251))),f326(f326(f251(f915(x99251),f915(x99251)),x99255),f326(f326(f151(x99251),x99254),x99253))),f158(x99251,x99252)))
% 178.51/178.25 [9946]E(f326(f326(f151(x99461),f654(x99462,x99463,x99464,x99465,x99461)),f655(x99462,x99463,x99464,x99465,x99461)),x99463)+~P106(f326(f326(f328(f921(f915(x99461),f915(x99461))),f326(f326(f251(f915(x99461),f915(x99461)),f326(f326(f151(x99461),x99465),x99464)),x99463)),f158(x99461,x99462)))
% 178.51/178.25 [10093]~P106(f326(f326(f328(f921(f915(x100931),f915(x100931))),f326(f326(f251(f915(x100931),f915(x100931)),f326(f326(f151(x100931),x100935),x100932)),x100934)),f158(x100931,x100933)))+P106(f326(f326(f328(f921(f915(x100931),f915(x100931))),f326(f326(f251(f915(x100931),f915(x100931)),x100932),f655(x100933,x100934,x100932,x100935,x100931))),f158(x100931,x100933)))
% 178.51/178.25 [10162]~P106(f326(f326(f328(f921(f915(x101621),f915(x101621))),f326(f326(f251(f915(x101621),f915(x101621)),x101625),f326(f326(f151(x101621),x101624),x101623))),f158(x101621,x101622)))+P106(f326(f326(f328(f921(f915(x101621),f915(x101621))),f326(f326(f251(f915(x101621),f915(x101621)),f653(x101622,x101623,x101624,x101625,x101621)),x101623)),f158(x101621,x101622)))
% 178.51/178.25 [10355]P106(f326(f326(f328(f921(x103551,x103551)),f326(f326(f251(x103551,x103551),f326(x103552,f326(f326(f79(a914),x103553),x103554))),f326(x103552,x103553))),f306(x103551,x103555)))+~P106(f326(f326(f328(f921(x103551,x103551)),f326(f326(f251(x103551,x103551),f326(x103552,f326(a112,f616(x103554,x103553,x103555,x103552,x103551)))),f326(x103552,f616(x103554,x103553,x103555,x103552,x103551)))),f306(x103551,x103555)))
% 178.51/178.25 [5416]E(x54161,x54162)+~E(f326(f326(f151(x54163),x54164),x54161),f326(f326(f151(x54163),x54165),x54162))
% 178.51/178.25 [5417]E(x54171,x54172)+~E(f326(f326(f151(x54173),x54171),x54174),f326(f326(f151(x54173),x54172),x54175))
% 178.51/178.25 [5465]P106(f326(x54651,x54652))+~E(f326(f136(x54653,x54651),x54654),f326(f326(f151(x54653),x54652),x54655))
% 178.51/178.25 [5466]P106(f326(x54661,x54662))+~E(f326(f326(f151(x54663),x54662),x54664),f326(f136(x54663,x54661),x54665))
% 178.51/178.25 [5623]~E(f326(f326(f138(x56231),x56233),x56232),f326(f326(f151(x56231),x56234),x56235))+E(f326(f326(f164(x56231),x56232),x56233),x56234)
% 178.51/178.25 [5762]~P13(x57624,x57625,x57621)+E(f326(f326(x57621,x57622),f326(f326(x57621,x57622),x57623)),f326(f326(x57621,x57622),x57623))
% 178.51/178.25 [6315]~E(x63154,f2(a99))+E(f326(f326(f117(x63151,x63152,x63153),x63154),x63155),f326(f326(f251(f915(x63152),x63151),f113(x63152)),x63155))
% 178.51/178.25 [6387]~P109(x63872)+~E(f326(f326(f148(x63871,x63872,x63873),x63874),x63875),f113(x63871))
% 178.51/178.25 [6776]E(x67761,x67762)+~E(f326(f326(f134(x67763),x67764),f326(f326(f151(x67763),x67761),f113(x67763))),f326(f326(f134(x67763),x67765),f326(f326(f151(x67763),x67762),f113(x67763))))
% 178.51/178.25 [6777]E(x67771,x67772)+~E(f326(f326(f134(x67773),x67771),f326(f326(f151(x67773),x67774),f113(x67773))),f326(f326(f134(x67773),x67772),f326(f326(f151(x67773),x67775),f113(x67773))))
% 178.51/178.25 [7090]E(f326(f326(f308(x70901),f326(x70902,x70903)),f326(f309(x70904,x70901,x70902),x70905)),f326(f309(x70904,x70901,x70902),x70905))+~P106(f326(f326(f328(x70904),x70903),x70905))
% 178.51/178.25 [7097]~P106(f326(x70974,f326(x70973,x70975)))+P106(f326(f326(f310(x70971,x70972,x70973),x70974),x70975))
% 178.51/178.25 [7100]~P106(f326(f326(x71003,x71005),x71004))+P106(f326(f326(f242(x71001,x71002,x71003),x71004),x71005))
% 178.51/178.25 [7195]~E(f326(f309(x71951,x71952,x71953),x71954),x71955)+E(f326(f309(f922(x71951,a910),f922(x71952,a910),f309(x71951,x71952,x71953)),f326(f307(x71951),x71954)),f326(f307(x71952),x71955))
% 178.51/178.25 [7224]E(f326(f270(x72241,x72242,x72243,x72244),x72245),f326(x72244,x72245))+~P106(f326(f326(f328(x72241),x72245),x72243))
% 178.51/178.25 [7535]P24(x75351,x75352,x75353,x75354)+~P24(x75351,x75352,x75353,f326(f326(f308(x75351),x75355),x75354))
% 178.51/178.25 [7600]P106(f326(x76001,x76002))+~P106(f326(f326(f92(x76003,x76004,x76001),x76005),x76002))
% 178.51/178.25 [7641]~P106(f326(f326(f328(x76414),x76413),x76415))+P106(f326(f326(f328(x76411),f326(x76412,x76413)),f326(f309(x76414,x76411,x76412),x76415)))
% 178.51/178.25 [7662]~P109(x76622)+E(f150(x76621,x76622,x76623,f326(f136(x76621,x76624),x76625)),f326(f136(x76621,x76624),f150(x76621,x76622,x76623,x76625)))
% 178.51/178.25 [7693]P106(f326(x76931,f326(x76932,x76933)))+~P106(f326(f326(f310(x76934,x76935,x76932),x76931),x76933))
% 178.51/178.25 [7696]P106(f326(f326(x76961,x76962),x76963))+~P106(f326(f326(f242(x76964,x76965,x76961),x76963),x76962))
% 178.51/178.25 [7697]P106(f326(f326(x76971,x76972),x76973))+~P106(f326(f326(f92(x76974,x76971,x76975),x76972),x76973))
% 178.51/178.25 [7758]~P106(f326(f326(f328(x77583),f326(x77584,x77582)),x77585))+P106(f326(f326(f328(x77581),x77582),f326(f310(x77581,x77583,x77584),x77585)))
% 178.51/178.25 [8148]~P106(f326(f326(f328(x81485),x81483),f326(f310(x81485,x81481,x81482),x81484)))+P106(f326(f326(f328(x81481),f326(x81482,x81483)),x81484))
% 178.51/178.25 [8440]~P15(x84402,x84401,x84403)+E(f326(f142(x84401,x84402,f326(f9(x84402,x84401,x84401),x84403),x84404),f152(x84402,x84405)),f326(f326(f64(x84402,x84401,x84403),x84404),f326(f172(x84402),x84405)))
% 178.51/178.25 [8462]E(f326(x84621,f482(x84622,x84621,x84623,x84624)),x84624)+~P106(f326(f326(f328(x84625),x84624),f326(f309(x84623,x84625,x84621),x84622)))
% 178.51/178.25 [8762]~E(x87622,f326(f326(f151(x87621),x87624),x87625))+P106(f326(f326(f328(f921(f915(x87621),f915(x87621))),f326(f326(f251(f915(x87621),f915(x87621)),f113(x87621)),x87622)),f147(x87621,x87623)))
% 178.51/178.25 [8808]E(f326(x88081,f326(f91(x88082,x88083,x88084,x88081),x88085)),x88085)+~P106(f326(f326(f328(x88083),x88085),f326(f309(x88082,x88083,x88081),x88084)))
% 178.51/178.25 [8811]P24(x88111,x88112,f91(x88112,x88111,x88113,x88114),x88115)+~P106(f326(f326(f234(f922(x88111,a910)),x88115),f326(f309(x88112,x88111,x88114),x88113)))
% 178.51/178.25 [8818]~P34(x88181,x88183,x88185,x88182,x88184)+E(f326(f189(f915(x88181)),x88182),f326(f189(f915(x88183)),x88184))
% 178.51/178.25 [8829]P106(f326(f326(f234(f922(x88291,a910)),f326(f326(f39(x88292,f922(x88291,a910)),x88293),x88294)),f326(x88294,x88295)))+~P106(f326(f326(f328(x88292),x88295),x88293))
% 178.51/178.25 [8883]~P56(x88831,x88832,x88833,x88835,x88834)+E(f326(f309(x88831,x88832,x88833),f241(f922(x88831,a910))),x88834)
% 178.51/178.25 [9108]E(f326(f136(x91081,x91082),f742(x91083,x91084,x91085,x91082,x91081)),x91083)+~E(f326(f136(x91081,x91082),x91085),f326(f326(f151(x91081),x91084),x91083))
% 178.51/178.25 [9109]E(f326(f136(x91091,x91092),f745(x91093,x91092,x91094,x91095,x91091)),x91094)+~E(f326(f326(f151(x91091),x91095),x91094),f326(f136(x91091,x91092),x91093))
% 178.51/178.25 [9200]E(f326(f189(f915(x92001)),x92002),x92003)+~P106(f326(f326(f328(f921(f915(x92001),f915(x92001))),f326(f326(f251(f915(x92001),f915(x92001)),x92004),x92002)),f326(f143(x92001,x92005),x92003)))
% 178.51/178.25 [9201]E(f326(f189(f915(x92011)),x92012),x92013)+~P106(f326(f326(f328(f921(f915(x92011),f915(x92011))),f326(f326(f251(f915(x92011),f915(x92011)),x92012),x92014)),f326(f143(x92011,x92015),x92013)))
% 178.51/178.25 [9270]P106(f326(f326(f328(x92701),f482(x92702,x92703,x92701,x92704)),x92702))+~P106(f326(f326(f328(x92705),x92704),f326(f309(x92701,x92705,x92703),x92702)))
% 178.51/178.25 [9428]E(f326(f309(x94281,x94282,x94283),f484(x94284,x94283,x94281,x94285,x94282)),x94285)+~P106(f326(f326(f234(f922(x94282,a910)),x94285),f326(f309(x94281,x94282,x94283),x94284)))
% 178.51/178.25 [9747]P106(f326(f326(f328(f921(f915(x97471),f915(x97471))),f326(f326(f251(f915(x97471),f915(x97471)),f326(f326(f151(x97471),x97472),x97473)),f326(f326(f151(x97471),x97472),x97474))),f306(f915(x97471),f157(x97471,x97475))))+~P106(f326(f326(f328(f921(f915(x97471),f915(x97471))),f326(f326(f251(f915(x97471),f915(x97471)),x97473),x97474)),f306(f915(x97471),f157(x97471,x97475))))
% 178.51/178.25 [9778]~E(f326(x97783,f694(x97785,x97784,x97783,x97782,x97781)),f326(x97785,f694(x97785,x97784,x97783,x97782,x97781)))+E(f326(f326(f154(x97781,x97782),x97783),x97784),f326(f326(f154(x97781,x97782),x97785),x97784))
% 178.51/178.25 [9853]~E(f326(f136(x98531,x98535),x98534),f326(f326(f151(x98531),x98533),x98532))+E(f326(f326(f134(x98531),f743(x98532,x98533,x98534,x98535,x98531)),f326(f326(f151(x98531),x98533),f742(x98532,x98533,x98534,x98535,x98531))),x98534)
% 178.51/178.25 [9854]~E(f326(f326(f151(x98541),x98545),x98544),f326(f136(x98541,x98543),x98542))+E(f326(f326(f134(x98541),f746(x98542,x98543,x98544,x98545,x98541)),f326(f326(f151(x98541),x98545),f745(x98542,x98543,x98544,x98545,x98541))),x98542)
% 178.51/178.25 [9858]E(f326(f326(f154(x98581,x98582),x98583),x98584),f326(f326(f154(x98581,x98582),x98585),x98584))+P106(f326(f326(f328(x98581),f694(x98583,x98584,x98585,x98582,x98581)),f326(f172(x98581),x98584)))
% 178.51/178.25 [9888]~P106(f326(f326(f328(x98885),x98884),f326(f284(x98881,x98885,x98883),x98882)))+P106(f326(f326(f328(x98881),f501(x98882,x98883,x98881,x98884,x98885)),x98882))
% 178.51/178.25 [9889]~P106(f326(f326(f328(x98895),x98894),f326(f284(x98891,x98895,x98893),x98892)))+P106(f326(f326(f328(x98891),f510(x98892,x98893,x98891,x98894,x98895)),x98892))
% 178.51/178.25 [9919]~P106(f326(f326(f234(f922(x99195,a910)),x99194),f326(f309(x99191,x99195,x99193),x99192)))+P106(f326(f326(f234(f922(x99191,a910)),f484(x99192,x99193,x99191,x99194,x99195)),x99192))
% 178.51/178.25 [10356]E(x103561,f2(a99))+E(f223(f921(f915(x103562),x103563),f921(x103562,x103563),f326(f326(f251(f915(x103562),x103563),f113(x103562)),x103564),f326(f256(x103562,x103563,f921(f915(x103562),x103563)),f326(f326(f9(x103562,f922(x103563,f921(f915(x103562),x103563)),f922(x103563,f921(f915(x103562),x103563))),f326(f326(f10(f922(f921(f915(x103562),x103563),f921(f915(x103562),x103563)),f922(f922(x103563,f921(f915(x103562),x103563)),f922(x103563,f921(f915(x103562),x103563))),x103562),f10(f921(f915(x103562),x103563),f921(f915(x103562),x103563),x103563)),f326(f326(f10(f922(f915(x103562),f922(x103563,f921(f915(x103562),x103563))),f922(f921(f915(x103562),x103563),f921(f915(x103562),x103563)),x103562),f256(f915(x103562),x103563,f921(f915(x103562),x103563))),f326(f326(f10(f922(f915(x103562),f915(x103562)),f922(f915(x103562),f922(x103563,f921(f915(x103562),x103563))),x103562),f326(f10(f915(x103562),f922(x103563,f921(f915(x103562),x103563)),f915(x103562)),f251(f915(x103562),x103563))),f151(x103562))))),f326(f117(x103563,x103562,x103565),f326(f326(f3(a99),x103561),f77(a99))))),f326(x103565,x103564)),f326(f326(f117(x103563,x103562,x103565),x103561),x103564))
% 178.51/178.25 [6192]E(x61921,x61922)+~E(f326(f255(x61923,x61924),f326(f326(f251(x61923,x61924),x61925),x61921)),x61922)
% 178.51/178.25 [6193]E(x61931,x61932)+~E(f326(f250(x61933,x61934),f326(f326(f251(x61933,x61934),x61931),x61935)),x61932)
% 178.51/178.25 [6462]~E(x64623,f326(f326(f134(x64621),x64624),f326(f326(f151(x64621),x64622),x64625)))+P106(f326(f326(f328(x64621),x64622),f326(f172(x64621),x64623)))
% 178.51/178.25 [6861]E(f326(f309(x68611,x68612,f326(f18(x68612,x68611),x68613)),x68614),f326(f326(f308(x68612),x68613),f188(f922(x68612,a910))))+~P106(f326(f326(f328(x68611),x68615),x68614))
% 178.51/178.25 [6933]E(f326(f326(f110(f922(x69331,a910)),f326(f172(x69331),x69332)),f326(f172(x69331),x69333)),f326(f172(x69331),x69334))+~E(f166(x69331,x69335,x69334),f326(f326(f251(f915(x69331),f915(x69331)),x69332),x69333))
% 178.51/178.25 [7033]~P109(x70332)+E(f326(f189(f915(x70331)),f326(f326(f148(x70331,x70332,x70333),x70334),x70335)),f326(a112,f326(f189(f915(x70331)),x70335)))
% 178.51/178.25 [7045]~P109(x70452)+E(f326(f172(x70451),f326(f326(f148(x70451,x70452,x70453),x70454),x70455)),f326(f326(f308(x70451),x70454),f326(f172(x70451),x70455)))
% 178.51/178.25 [7318]~P113(x73181)+E(f326(f326(f80(x73181),f326(f326(f80(x73181),x73182),x73183)),f326(f326(f80(x73181),x73184),x73185)),f326(f326(f80(x73181),f326(f326(f80(x73181),x73182),x73184)),f326(f326(f80(x73181),x73183),x73185)))
% 178.51/178.25 [7319]~P113(x73191)+E(f326(f326(f79(x73191),f326(f326(f79(x73191),x73192),x73193)),f326(f326(f79(x73191),x73194),x73195)),f326(f326(f79(x73191),f326(f326(f79(x73191),x73192),x73194)),f326(f326(f79(x73191),x73193),x73195)))
% 178.51/178.25 [7320]~P63(x73201)+E(f326(f326(f289(x73201),f326(f326(f80(x73201),x73202),x73203)),f326(f326(f80(x73201),x73204),x73205)),f326(f326(f80(x73201),f326(f326(f289(x73201),x73202),x73204)),f326(f326(f289(x73201),x73203),x73205)))
% 178.51/178.25 [7334]~P109(x73341)+E(f302(x73341,f326(f326(f233(x73341),x73342),x73343),f326(f326(f232(x73341),x73344),x73345)),f326(f326(f101(f922(x73341,a910)),f302(x73341,x73342,x73344)),f302(x73341,x73343,x73345)))
% 178.51/178.25 [7335]~P109(x73351)+E(f305(x73351,f326(f326(f233(x73351),x73352),x73353),f326(f326(f232(x73351),x73354),x73355)),f326(f326(f101(f922(x73351,a910)),f305(x73351,x73352,x73354)),f305(x73351,x73353,x73355)))
% 178.51/178.25 [7336]~P109(x73361)+E(f304(x73361,f326(f326(f233(x73361),x73362),x73363),f326(f326(f232(x73361),x73364),x73365)),f326(f326(f101(f922(x73361,a910)),f304(x73361,x73362,x73364)),f304(x73361,x73363,x73365)))
% 178.51/178.25 [7337]~P109(x73371)+E(f326(f326(f101(f922(x73371,a910)),f326(f301(x73371,x73372),x73373)),f326(f301(x73371,x73374),x73375)),f326(f301(x73371,f326(f326(f233(x73371),x73372),x73374)),f326(f326(f232(x73371),x73373),x73375)))
% 178.51/178.25 [7457]~P106(f326(x74571,f391(x74573,x74572,x74571)))+P106(f326(x74571,f326(f326(f251(x74572,x74573),x74574),x74575)))
% 178.51/178.25 [7565]~E(x75652,f326(x75654,x75655))+P106(f326(f326(f328(x75651),x75652),f326(f309(x75653,x75651,x75654),f241(f922(x75653,a910)))))
% 178.51/178.25 [7638]~P15(x76383,x76382,x76384)+P15(x76381,x76382,f326(f326(f10(x76383,f922(x76382,x76382),x76381),x76384),x76385))
% 178.51/178.25 [7639]~P13(x76393,x76392,x76394)+P13(x76391,x76392,f326(f326(f10(x76393,f922(x76392,x76392),x76391),x76394),x76395))
% 178.51/178.25 [7775]~P24(x77751,x77752,x77753,x77754)+P24(x77751,x77752,x77753,f326(f326(f3(f922(x77751,a910)),x77754),x77755))
% 178.51/178.25 [7928]~P106(f326(f326(x79283,x79284),x79285))+P106(f326(f326(f256(x79281,x79282,a910),x79283),f326(f326(f251(x79281,x79282),x79284),x79285)))
% 178.51/178.25 [8039]~P106(f326(x80392,x80394))+~E(f326(f326(f138(x80391),f326(f189(f915(x80391)),f177(x80391,x80392,x80393))),x80393),f326(f326(f151(x80391),x80394),x80395))
% 178.51/178.25 [8059]P24(x80591,x80592,x80593,x80594)+~P24(x80591,x80592,x80593,f326(f326(f110(f922(x80591,a910)),x80595),x80594))
% 178.51/178.25 [8060]P24(x80601,x80602,x80603,x80604)+~P24(x80601,x80602,x80603,f326(f326(f110(f922(x80601,a910)),x80604),x80605))
% 178.51/178.25 [8106]~P109(x81062)+E(f326(f326(f148(x81061,x81062,x81063),x81064),f150(x81061,x81062,x81063,x81065)),f150(x81061,x81062,x81063,f326(f326(f151(x81061),x81064),x81065)))
% 178.51/178.25 [8417]~P13(x84172,x84171,x84173)+E(f326(f142(x84171,x84172,f326(f9(x84172,x84171,x84171),x84173),x84174),x84175),f326(f326(f64(x84172,x84171,x84173),x84174),f326(f172(x84172),x84175)))
% 178.51/178.25 [8445]~E(f326(f326(f138(x84451),f326(f189(f915(x84451)),f177(x84451,x84452,x84453))),x84453),f326(f326(f151(x84451),x84454),x84455))+E(f326(f326(f134(x84451),f177(x84451,x84452,x84453)),f326(f326(f151(x84451),x84454),x84455)),x84453)
% 178.51/178.25 [8472]P106(f326(f326(x84721,x84722),x84723))+~P106(f326(f326(f256(x84724,x84725,a910),x84721),f326(f326(f251(x84724,x84725),x84722),x84723)))
% 178.51/178.25 [8946]P106(f326(f326(f234(f922(x89461,a910)),f326(f309(x89462,x89461,x89463),x89464)),f326(f309(x89462,x89461,x89463),x89465)))+~P106(f326(f326(f234(f922(x89462,a910)),x89464),x89465))
% 178.51/178.25 [8947]P106(f326(f326(f234(f922(x89471,a910)),f326(f310(x89471,x89472,x89473),x89474)),f326(f310(x89471,x89472,x89473),x89475)))+~P106(f326(f326(f234(f922(x89472,a910)),x89474),x89475))
% 178.51/178.25 [9026]E(x90261,f2(a99))+E(f326(f326(f258(x90262,x90263,x90262,f921(x90263,x90262)),f326(x90264,x90265)),f272(x90263,x90262,f326(f326(f3(a99),x90261),f77(a99)),x90264)),f326(f272(x90263,x90262,x90261,x90264),x90265))
% 178.51/178.25 [9133]P106(f326(f326(f254(x91331,x91332,a910,x91333),x91334),x91335))+~P106(f326(x91333,f326(f326(f251(x91331,x91332),x91334),x91335)))
% 178.51/178.25 [9407]~P106(f326(f326(f254(x94072,x94073,a910,x94071),x94074),x94075))+P106(f326(x94071,f326(f326(f251(x94072,x94073),x94074),x94075)))
% 178.51/178.25 [9589]~P106(f326(f326(f328(x95892),x95895),f326(f309(x95891,x95892,x95894),x95893)))+P106(f326(f326(f328(x95891),f326(f91(x95891,x95892,x95893,x95894),x95895)),x95893))
% 178.51/178.25 [9689]~P106(f326(f61(x96893),f326(f309(x96892,x96893,x96895),f241(f922(x96892,a910)))))+P106(f326(f61(x96891),f326(f309(x96892,x96891,f326(f326(f10(x96893,x96891,x96892),x96894),x96895)),f241(f922(x96892,a910)))))
% 178.51/178.25 [9714]P106(f326(f326(f234(f922(f922(x97141,a910),a910)),f326(f309(f922(x97142,a910),f922(x97141,a910),f309(x97142,x97141,x97143)),f326(f307(x97142),x97144))),f326(f307(x97141),x97145)))+~P106(f326(f326(f234(f922(x97141,a910)),f326(f309(x97142,x97141,x97143),x97144)),x97145))
% 178.51/178.25 [9786]E(x97861,x97862)+~P106(f326(f66(x97863,x97864,x97865,x97861,f188(f922(x97863,a910))),x97862))
% 178.51/178.25 [9802]E(f326(f326(f251(x98021,x98022),f553(x98023,x98024,x98025,x98022,x98021)),f555(x98023,x98024,x98025,x98022,x98021)),x98025)+~P106(f326(f326(f328(f921(x98021,x98022)),x98025),f326(f326(f253(x98021,x98022),x98024),x98023)))
% 178.51/178.25 [9894]P106(f326(f326(f328(x98941),f553(x98942,x98943,x98944,x98945,x98941)),x98943))+~P106(f326(f326(f328(f921(x98941,x98945)),x98944),f326(f326(f253(x98941,x98945),x98943),x98942)))
% 178.51/178.25 [9994]P23(x99945,x99944,f326(f326(f308(f913(x99945)),f326(f326(f326(f90(x99945),x99941),x99943),x99942)),f188(f922(f913(x99945),a910))))+P106(f326(f326(x99941,f502(x99942,x99943,x99944,x99945,x99941)),f503(x99942,x99943,x99944,x99945,x99941)))
% 178.51/178.25 [10050]P106(f326(f326(f328(x100501),f555(x100502,x100503,x100504,x100501,x100505)),f326(x100502,f553(x100502,x100503,x100504,x100501,x100505))))+~P106(f326(f326(f328(f921(x100505,x100501)),x100504),f326(f326(f253(x100505,x100501),x100503),x100502)))
% 178.51/178.25 [10070]P106(f326(f326(f328(f921(x100701,x100701)),f326(f326(f251(x100701,x100701),x100702),f636(x100703,x100704,x100705,x100702,x100701))),x100703))+~P106(f326(f326(f328(f921(x100701,x100701)),f326(f326(f251(x100701,x100701),x100702),x100705)),f326(f326(f183(f921(x100701,x100701),a910),f326(a112,x100704)),x100703)))
% 178.51/178.25 [10071]P106(f326(f326(f328(f921(x100711,x100711)),f326(f326(f251(x100711,x100711),x100712),f637(x100713,x100714,x100715,x100712,x100711))),x100713))+~P106(f326(f326(f328(f921(x100711,x100711)),f326(f326(f251(x100711,x100711),x100712),x100715)),f326(f326(f183(f921(x100711,x100711),a910),f326(a112,x100714)),x100713)))
% 178.51/178.25 [10088]~P106(f326(f326(f328(f921(f915(x100881),f915(x100881))),f326(f326(f251(f915(x100881),f915(x100881)),f326(f326(f151(x100881),x100882),x100885)),x100884)),f158(x100881,x100883)))+P106(f326(f326(f328(f921(x100881,x100881)),f326(f326(f251(x100881,x100881),x100882),f654(x100883,x100884,x100885,x100882,x100881))),x100883))
% 178.51/178.25 [10090]~P23(x100901,x100902,f326(f326(f308(f913(x100901)),f326(f326(f326(f90(x100901),f92(x100901,x100903,x100904)),x100905),x100903)),f188(f922(f913(x100901),a910))))+P23(x100901,x100902,f326(f326(f308(f913(x100901)),f326(f326(f326(f90(x100901),x100903),f29(x100904,x100905)),f92(x100901,x100903,f326(f72(a910,a910,a912,a321),x100904)))),f188(f922(f913(x100901),a910))))
% 178.51/178.25 [10091]~P28(x100911,x100912,f326(f326(f308(f913(x100911)),f326(f326(f326(f90(x100911),f92(x100911,x100913,x100914)),x100915),x100913)),f188(f922(f913(x100911),a910))))+P28(x100911,x100912,f326(f326(f308(f913(x100911)),f326(f326(f326(f90(x100911),x100913),f29(x100914,x100915)),f92(x100911,x100913,f326(f72(a910,a910,a912,a321),x100914)))),f188(f922(f913(x100911),a910))))
% 178.51/178.25 [10382]P23(x103821,x103822,f326(f326(f308(f913(x103821)),f326(f326(f326(f90(x103821),x103823),x103824),x103825)),f188(f922(f913(x103821),a910))))+~P23(x103821,x103822,f326(f326(f308(f913(x103821)),f326(f326(f326(f90(x103821),f326(f18(f922(a912,a910),x103821),f326(f326(f9(a912,a912,a910),a323),f503(x103825,x103824,x103822,x103821,x103823)))),x103824),f326(f18(f922(a912,a910),x103821),f326(x103825,f502(x103825,x103824,x103822,x103821,x103823))))),f188(f922(f913(x103821),a910))))
% 178.51/178.25 [6540]P106(f326(x65402,x65404))+E(f177(x65401,x65402,f326(f326(f134(x65401),x65403),f326(f326(f151(x65401),x65404),x65405))),f177(x65401,x65402,x65403))
% 178.51/178.25 [6589]~P78(x65892)+E(f326(f326(f326(f110(f922(x65891,x65892)),x65893),x65894),x65895),f326(f326(f110(x65892),f326(x65893,x65895)),f326(x65894,x65895)))
% 178.51/178.25 [6591]~P2(x65912)+E(f326(f326(f326(f3(f922(x65911,x65912)),x65913),x65914),x65915),f326(f326(f3(x65912),f326(x65913,x65915)),f326(x65914,x65915)))
% 178.51/178.25 [6593]~P78(x65932)+E(f326(f326(f326(f101(f922(x65931,x65932)),x65933),x65934),x65935),f326(f326(f101(x65932),f326(x65933,x65935)),f326(x65934,x65935)))
% 178.51/178.25 [6612]E(x66121,x66122)+E(f326(f326(f164(x66123),f326(f326(f159(x66123,x66124),x66121),x66125)),x66122),f326(f326(f164(x66123),x66124),x66122))
% 178.51/178.25 [6879]~E(x68794,f188(f922(x68793,a910)))+E(f326(f326(f110(f922(x68791,a910)),x68792),f326(f326(f40(x68793,f922(x68791,a910)),x68794),x68795)),x68792)
% 178.51/178.25 [6880]~E(x68804,f188(f922(x68803,a910)))+E(f326(f326(f3(f922(x68801,a910)),x68802),f326(f326(f40(x68803,f922(x68801,a910)),x68804),x68805)),x68802)
% 178.51/178.25 [6881]~E(x68814,f188(f922(x68813,a910)))+E(f326(f326(f101(f922(x68811,a910)),x68812),f326(f326(f39(x68813,f922(x68811,a910)),x68814),x68815)),x68812)
% 178.51/178.25 [6897]~E(x68974,f188(f922(x68973,a910)))+E(f326(f326(f308(x68971),x68972),f326(f326(f40(x68973,f922(x68971,a910)),x68974),x68975)),f326(f326(f308(x68971),x68972),f188(f922(x68971,a910))))
% 178.51/178.25 [7685]E(f326(f326(f164(x76851),f326(f326(f154(x76852,x76851),x76853),x76854)),x76855),f326(x76853,f326(f326(f164(x76852),x76854),x76855)))+~P106(f326(f326(f235(a914),x76855),f326(f189(f915(x76852)),x76854)))
% 178.51/178.25 [7746]E(f326(f326(f110(f922(x77461,a910)),f326(x77462,x77463)),f326(f326(f40(x77464,f922(x77461,a910)),x77465),x77462)),f326(f326(f40(x77464,f922(x77461,a910)),x77465),x77462))+~P106(f326(f326(f328(x77464),x77463),x77465))
% 178.51/178.25 [7747]E(f326(f326(f101(f922(x77471,a910)),f326(x77472,x77473)),f326(f326(f39(x77474,f922(x77471,a910)),x77475),x77472)),f326(f326(f39(x77474,f922(x77471,a910)),x77475),x77472))+~P106(f326(f326(f328(x77474),x77473),x77475))
% 178.51/178.25 [8340]~E(x83403,f188(f922(x83401,a910)))+E(f326(f326(f40(x83401,f922(x83402,a910)),x83403),f326(f326(f10(f922(x83402,a910),f922(x83402,a910),x83401),f326(f308(x83402),x83404)),x83405)),f188(f922(x83402,a910)))
% 178.51/178.25 [8345]~P106(f326(f326(f328(x83454),x83453),x83455))+P106(f326(f326(f234(f922(x83451,a910)),f326(x83452,x83453)),f326(f326(f40(x83454,f922(x83451,a910)),x83455),x83452)))
% 178.51/178.25 [8471]~E(f326(x84714,x84712),x84715)+P106(f326(f326(f328(x84711),x84712),f326(f310(x84711,x84713,x84714),f326(f326(f308(x84713),x84715),f188(f922(x84713,a910))))))
% 178.51/178.25 [8518]~P54(x85181,x85182,f326(f285(x85182,x85181),x85183))+E(f326(f326(f101(f922(x85181,a910)),f326(f284(x85182,x85181,x85183),x85184)),f326(f284(x85182,x85181,x85183),x85185)),f326(f284(x85182,x85181,x85183),f326(f326(f101(f922(x85182,a910)),x85184),x85185)))
% 178.51/178.25 [8592]E(x85921,f2(a99))+E(f326(f118(x85922,x85923,f326(x85924,f326(f326(f3(a99),x85921),f77(a99)))),f326(f326(f9(x85922,a99,f916(x85923)),x85925),x85921)),f326(f198(x85922,x85923,x85924,x85925),x85921))
% 178.51/178.25 [8630]E(x86301,f188(f922(x86302,a910)))+E(f326(f326(f40(x86302,f922(x86303,a910)),x86301),f326(f326(f10(f922(x86303,a910),f922(x86303,a910),x86302),f326(f308(x86303),x86304)),x86305)),f326(f326(f308(x86303),x86304),f326(f326(f40(x86302,f922(x86303,a910)),x86301),x86305)))
% 178.51/178.25 [8680]~P24(x86802,x86801,x86803,f241(f922(x86802,a910)))+E(f326(f326(f3(f922(x86801,a910)),f326(f309(x86802,x86801,x86803),x86804)),f326(f309(x86802,x86801,x86803),x86805)),f326(f309(x86802,x86801,x86803),f326(f326(f3(f922(x86802,a910)),x86804),x86805)))
% 178.51/178.25 [8681]~P24(x86812,x86811,x86813,f241(f922(x86812,a910)))+E(f326(f326(f101(f922(x86811,a910)),f326(f309(x86812,x86811,x86813),x86814)),f326(f309(x86812,x86811,x86813),x86815)),f326(f309(x86812,x86811,x86813),f326(f326(f101(f922(x86812,a910)),x86814),x86815)))
% 178.51/178.25 [8749]~P106(f326(f326(f67(x87491,x87492,x87495),x87493),x87494))+P106(f326(f326(f328(f921(x87491,x87492)),f326(f326(f251(x87491,x87492),x87493),x87494)),x87495))
% 178.51/178.25 [8781]P106(f326(f326(f328(x87811),x87812),f326(f283(x87813,x87811),x87814)))+~P106(f326(f326(f328(f921(x87813,x87811)),f326(f326(f251(x87813,x87811),x87815),x87812)),x87814))
% 178.51/178.25 [8783]P106(f326(f326(f328(x87831),x87832),f326(f263(x87831,x87833),x87834)))+~P106(f326(f326(f328(f921(x87831,x87833)),f326(f326(f251(x87831,x87833),x87832),x87835)),x87834))
% 178.51/178.25 [8930]P106(f326(f326(f67(x89301,x89302,x89303),x89304),x89305))+~P106(f326(f326(f328(f921(x89301,x89302)),f326(f326(f251(x89301,x89302),x89304),x89305)),x89303))
% 178.51/178.25 [8969]E(f326(x89691,x89692),x89693)+~P106(f326(f326(f328(x89694),x89692),f326(f310(x89694,x89695,x89691),f326(f326(f308(x89695),x89693),f188(f922(x89695,a910))))))
% 178.51/178.25 [9197]P106(f326(f326(f328(f921(x91971,x91972)),f326(f326(f251(x91971,x91972),x91973),x91974)),f326(f285(x91972,x91971),x91975)))+~P106(f326(f326(f328(f921(x91972,x91971)),f326(f326(f251(x91972,x91971),x91974),x91973)),x91975))
% 178.51/178.25 [9215]~P106(f326(f326(x92151,x92155),x92154))+P106(f326(f326(x92151,f326(f255(x92152,x92153),f326(f326(f251(x92152,x92153),x92154),x92155))),f326(f250(x92152,x92153),f326(f326(f251(x92152,x92153),x92154),x92155))))
% 178.51/178.25 [9245]~P106(f326(f326(f328(f921(x92452,x92451)),f326(f326(f251(x92452,x92451),x92454),x92453)),f326(f285(x92451,x92452),x92455)))+P106(f326(f326(f328(f921(x92451,x92452)),f326(f326(f251(x92451,x92452),x92453),x92454)),x92455))
% 178.51/178.25 [9277]~P106(f326(f326(f328(f921(x92773,x92771)),f326(f326(f251(x92773,x92771),x92775),x92772)),x92774))+P106(f326(f326(f328(x92771),x92772),f326(f284(x92773,x92771,x92774),f326(f326(f308(x92773),x92775),f188(f922(x92773,a910))))))
% 178.51/178.25 [9324]P106(f326(f326(f328(f921(x93241,x93242)),f326(f326(f251(x93241,x93242),x93243),x93244)),x93245))+~P106(f326(f326(f328(x93242),x93244),f326(f284(x93241,x93242,x93245),f326(f326(f308(x93241),x93243),f188(f922(x93241,a910))))))
% 178.51/178.25 [9414]~P70(x94141)+E(f326(f326(f8(a914,x94141),x94142),f302(a914,f326(f326(f79(a914),x94143),x94144),f326(f326(f79(a914),x94145),x94144))),f326(f326(f8(a914,x94141),f326(f326(f10(a914,x94141,a914),x94142),f326(f326(f9(a914,a914,a914),f79(a914)),x94144))),f302(a914,x94143,x94145)))
% 178.51/178.25 [9433]~P70(x94331)+E(f326(f326(f8(a914,x94331),x94332),f326(f301(a914,f326(f326(f79(a914),x94333),x94334)),f326(f326(f79(a914),x94335),x94334))),f326(f326(f8(a914,x94331),f326(f326(f10(a914,x94331,a914),x94332),f326(f326(f9(a914,a914,a914),f79(a914)),x94334))),f326(f301(a914,x94333),x94335)))
% 178.51/178.25 [9491]~P24(x94911,x94912,x94913,f241(f922(x94911,a910)))+E(f326(f326(f154(x94911,x94912),x94913),f326(f136(x94911,f326(f326(f10(a910,a910,x94911),a321),f326(a323,x94914))),x94915)),f326(f136(x94912,f326(f326(f10(a910,a910,x94912),a321),f326(a323,f326(x94913,x94914)))),f326(f326(f154(x94911,x94912),x94913),x94915)))
% 178.51/178.25 [9509]~P24(x95091,x95092,x95093,f326(f326(f308(x95091),x95094),f326(f172(x95091),x95095)))+E(f326(f326(f154(x95091,x95092),x95093),f326(f136(x95091,f326(f326(f10(a910,a910,x95091),a321),f326(a323,x95094))),x95095)),f326(f136(x95092,f326(f326(f10(a910,a910,x95092),a321),f326(a323,f326(x95093,x95094)))),f326(f326(f154(x95091,x95092),x95093),x95095)))
% 178.51/178.25 [9677]P106(f326(f326(f328(f921(f915(x96771),f915(x96771))),f326(f326(f251(f915(x96771),f915(x96771)),f326(f326(f151(x96771),x96772),x96773)),f326(f326(f151(x96771),x96774),x96773))),f157(x96771,x96775)))+~P106(f326(f326(f328(f921(x96771,x96771)),f326(f326(f251(x96771,x96771),x96772),x96774)),x96775))
% 178.51/178.25 [9797]E(f326(f326(f308(x97971),f565(x97972,x97973,x97974,x97975,x97971)),f577(x97972,x97973,x97974,x97975,x97971)),f326(f326(f308(x97971),x97974),x97973))+~P106(f326(f62(x97971,x97975,f326(f326(f308(x97971),x97974),x97973)),x97972))
% 178.51/178.25 [9798]E(f326(f326(f308(x97981),f588(x97982,x97983,x97984,x97985,x97981)),f603(x97982,x97983,x97984,x97985,x97981)),f326(f326(f308(x97981),x97984),x97983))+~P106(f326(f62(x97981,x97985,f326(f326(f308(x97981),x97984),x97983)),x97982))
% 178.51/178.25 [9879]P106(f326(f326(f328(x98791),f429(x98792,x98793,x98794,x98795,x98791)),x98794))+P106(f326(f326(f326(f39(x98791,f922(x98795,a910)),x98794),x98793),x98792))
% 178.51/178.25 [9884]P106(f326(f326(f328(x98841),f420(x98842,x98843,x98841,x98844,x98845)),x98843))+P106(f326(f326(f328(x98845),x98844),f326(f326(f39(x98841,f922(x98845,a910)),x98843),x98842)))
% 178.51/178.25 [9892]P106(f326(f326(f328(x98921),f421(x98922,x98923,x98921,x98924,x98925)),x98923))+P106(f326(f326(f234(f922(x98925,a910)),x98924),f326(f326(f39(x98921,f922(x98925,a910)),x98923),x98922)))
% 178.51/178.25 [9893]P106(f326(f326(f328(x98931),f836(x98932,x98933,x98934,x98935,x98931)),x98935))+P106(f326(f326(f234(f922(x98934,a910)),x98933),f326(f326(f39(x98931,f922(x98934,a910)),x98935),x98932)))
% 178.51/178.25 [9895]P106(f326(f326(x98951,f471(x98952,x98951,x98953,x98954,x98955)),x98952))+~P106(f326(f326(f326(f40(x98955,f922(x98954,a910)),x98953),x98951),x98952))
% 178.51/178.25 [9899]P106(f326(f326(f328(x98991),f471(x98992,x98993,x98994,x98995,x98991)),x98994))+~P106(f326(f326(f326(f40(x98991,f922(x98995,a910)),x98994),x98993),x98992))
% 178.51/178.25 [9900]P52(x99004,f326(f326(f39(x99001,f922(x99004,a910)),x99005),x99003),f326(f326(f39(x99001,f922(f921(x99004,x99004),a910)),x99005),x99002))+P106(f326(f326(f328(x99001),f773(x99002,x99003,x99004,x99005,x99001)),x99005))
% 178.51/178.25 [9901]P52(x99014,f326(f326(f40(x99011,f922(x99014,a910)),x99015),x99013),f326(f326(f40(x99011,f922(f921(x99014,x99014),a910)),x99015),x99012))+P106(f326(f326(f328(x99011),f828(x99012,x99013,x99014,x99015,x99011)),x99015))
% 178.51/178.25 [9911]P106(f326(f326(f328(x99111),f466(x99112,x99113,x99111,x99114,x99115)),x99113))+~P106(f326(f326(f328(x99115),x99114),f326(f326(f40(x99111,f922(x99115,a910)),x99113),x99112)))
% 178.51/178.25 [9917]P106(f326(f326(f328(x99171),x99172),f326(x99173,f466(x99173,x99174,x99175,x99172,x99171))))+~P106(f326(f326(f328(x99171),x99172),f326(f326(f40(x99175,f922(x99171,a910)),x99174),x99173)))
% 178.51/178.25 [9999]~P106(f326(f326(x99994,f429(x99995,x99994,x99993,x99992,x99991)),x99995))+P106(f326(f326(f326(f39(x99991,f922(x99992,a910)),x99993),x99994),x99995))
% 178.51/178.25 [10002]~P106(f326(f326(f328(x100021),x100022),f326(x100025,f420(x100025,x100024,x100023,x100022,x100021))))+P106(f326(f326(f328(x100021),x100022),f326(f326(f39(x100023,f922(x100021,a910)),x100024),x100025)))
% 178.51/178.25 [10006]~P52(x100061,f326(x100064,f773(x100065,x100064,x100061,x100063,x100062)),f326(x100065,f773(x100065,x100064,x100061,x100063,x100062)))+P52(x100061,f326(f326(f39(x100062,f922(x100061,a910)),x100063),x100064),f326(f326(f39(x100062,f922(f921(x100061,x100061),a910)),x100063),x100065))
% 178.51/178.25 [10007]~P52(x100071,f326(x100074,f828(x100075,x100074,x100071,x100073,x100072)),f326(x100075,f828(x100075,x100074,x100071,x100073,x100072)))+P52(x100071,f326(f326(f40(x100072,f922(x100071,a910)),x100073),x100074),f326(f326(f40(x100072,f922(f921(x100071,x100071),a910)),x100073),x100075))
% 178.51/178.25 [10008]~P106(f326(f326(f234(f922(x100081,a910)),x100082),f326(x100085,f421(x100085,x100084,x100083,x100082,x100081))))+P106(f326(f326(f234(f922(x100081,a910)),x100082),f326(f326(f39(x100083,f922(x100081,a910)),x100084),x100085)))
% 178.51/178.25 [10009]~P106(f326(f326(f234(f922(x100091,a910)),x100092),f326(x100095,f836(x100095,x100092,x100091,x100094,x100093))))+P106(f326(f326(f234(f922(x100091,a910)),x100092),f326(f326(f39(x100093,f922(x100091,a910)),x100094),x100095)))
% 178.51/178.25 [10074]~P106(f326(f326(f328(x100741),f565(x100745,x100744,x100743,x100742,x100741)),f577(x100745,x100744,x100743,x100742,x100741)))+~P106(f326(f62(x100741,x100742,f326(f326(f308(x100741),x100743),x100744)),x100745))
% 178.51/178.25 [10075]~P106(f326(f326(f328(x100751),f588(x100755,x100754,x100753,x100752,x100751)),f603(x100755,x100754,x100753,x100752,x100751)))+~P106(f326(f62(x100751,x100752,f326(f326(f308(x100751),x100753),x100754)),x100755))
% 178.51/178.25 [10076]~P106(f326(f326(f328(f921(x100761,x100761)),f326(f326(f251(x100761,x100761),x100762),x100765)),f326(f326(f183(f921(x100761,x100761),a910),f326(a112,x100764)),x100763)))+P106(f326(f326(f328(f921(x100761,x100761)),f326(f326(f251(x100761,x100761),x100762),f638(x100763,x100764,x100765,x100762,x100761))),f326(f326(f183(f921(x100761,x100761),a910),x100764),x100763)))
% 178.51/178.25 [10082]P106(f326(f66(x100821,x100821,x100822,f565(x100823,x100824,x100825,x100822,x100821),f577(x100823,x100824,x100825,x100822,x100821)),x100823))+~P106(f326(f62(x100821,x100822,f326(f326(f308(x100821),x100825),x100824)),x100823))
% 178.51/178.25 [10083]P106(f326(f66(x100831,x100831,x100832,f588(x100833,x100834,x100835,x100832,x100831),f603(x100833,x100834,x100835,x100832,x100831)),x100833))+~P106(f326(f62(x100831,x100832,f326(f326(f308(x100831),x100835),x100834)),x100833))
% 178.51/178.25 [10095]~P109(x100951)+P12(x100951,f326(f326(f154(x100952,x100951),x100953),f326(f136(x100952,f326(f326(f9(x100952,x100951,a910),f326(f326(f10(x100951,f922(x100951,a910),x100952),a323),x100953)),f326(x100954,x100955))),x100955)))
% 178.51/178.25 [10134]~P106(f326(f326(f328(x101342),x101345),f326(f284(x101341,x101342,x101344),x101343)))+P106(f326(f326(f328(f921(x101341,x101342)),f326(f326(f251(x101341,x101342),f501(x101343,x101344,x101341,x101345,x101342)),x101345)),x101344))
% 178.51/178.25 [10135]~P106(f326(f326(f328(x101352),x101355),f326(f284(x101351,x101352,x101354),x101353)))+P106(f326(f326(f328(f921(x101351,x101352)),f326(f326(f251(x101351,x101352),f510(x101353,x101354,x101351,x101355,x101352)),x101355)),x101354))
% 178.51/178.25 [10155]~P106(f326(f326(f328(f921(x101551,x101551)),f326(f326(f251(x101551,x101551),x101555),x101554)),f326(f326(f183(f921(x101551,x101551),a910),f326(a112,x101553)),x101552)))+P106(f326(f326(f328(f921(x101551,x101551)),f326(f326(f251(x101551,x101551),f638(x101552,x101553,x101554,x101555,x101551)),x101554)),x101552))
% 178.51/178.25 [10158]~P106(f326(f326(f328(f921(x101581,x101581)),f326(f326(f251(x101581,x101581),x101585),x101584)),f326(f326(f183(f921(x101581,x101581),a910),f326(a112,x101583)),x101582)))+P106(f326(f326(f328(f921(x101581,x101581)),f326(f326(f251(x101581,x101581),f636(x101582,x101583,x101584,x101585,x101581)),x101584)),f326(f326(f183(f921(x101581,x101581),a910),x101583),x101582)))
% 178.51/178.25 [10159]~P106(f326(f326(f328(f921(x101591,x101591)),f326(f326(f251(x101591,x101591),x101595),x101594)),f326(f326(f183(f921(x101591,x101591),a910),f326(a112,x101593)),x101592)))+P106(f326(f326(f328(f921(x101591,x101591)),f326(f326(f251(x101591,x101591),f637(x101592,x101593,x101594,x101595,x101591)),x101594)),f326(f326(f183(f921(x101591,x101591),a910),x101593),x101592)))
% 178.51/178.25 [10160]~P106(f326(f326(f328(f921(f915(x101601),f915(x101601))),f326(f326(f251(f915(x101601),f915(x101601)),x101605),f326(f326(f151(x101601),x101604),x101603))),f158(x101601,x101602)))+P106(f326(f326(f328(f921(x101601,x101601)),f326(f326(f251(x101601,x101601),f652(x101602,x101603,x101604,x101605,x101601)),x101604)),x101602))
% 178.51/178.25 [7767]~E(x77673,f188(f922(x77672,a910)))+E(f326(f326(f110(f922(x77671,a910)),f326(f326(f40(x77672,f922(x77671,a910)),x77673),x77674)),x77675),x77675)
% 178.51/178.25 [7768]~E(x77683,f188(f922(x77682,a910)))+E(f326(f326(f101(f922(x77681,a910)),f326(f326(f39(x77682,f922(x77681,a910)),x77683),x77684)),x77685),x77685)
% 178.51/178.25 [8187]~E(x81873,f188(f922(x81872,a910)))+E(f326(f326(f3(f922(x81871,a910)),f326(f326(f39(x81872,f922(x81871,a910)),x81873),x81874)),x81875),f326(f326(f3(f922(x81871,a910)),f241(f922(x81871,a910))),x81875))
% 178.51/178.25 [8314]E(f326(f326(f159(x83141,f326(f326(f134(x83141),x83142),x83143)),x83144),x83145),f326(f326(f134(x83141),f326(f326(f159(x83141,x83142),x83144),x83145)),x83143))+~P106(f326(f326(f235(a914),x83144),f326(f189(f915(x83141)),x83142)))
% 178.51/178.25 [8582]E(f326(f326(f164(x85821),f326(f326(f154(a914,x85821),x85822),f139(a914,f326(f301(a914,x85823),x85824)))),x85825),f326(x85822,f326(f326(f79(a914),x85823),x85825)))+~P106(f326(f326(f235(a914),x85825),f326(f326(f3(a914),x85824),x85823)))
% 178.51/178.25 [8596]E(x85961,f2(a99))+E(f122(x85962,x85963,f326(x85964,f326(f326(f3(a99),x85961),f77(a99))),f326(f326(f9(x85962,a99,f916(f918(x85963))),x85965),x85961)),f326(f196(x85962,x85963,x85964,x85965),x85961))
% 178.51/178.25 [8620]~E(x86203,f188(f922(x86201,a910)))+E(f326(f326(f39(x86201,f922(x86202,a910)),x86203),f326(f326(f10(f922(x86202,a910),f922(x86202,a910),x86201),f326(f3(f922(x86202,a910)),x86204)),x86205)),f241(f922(x86202,a910)))
% 178.51/178.25 [8621]~E(x86213,f188(f922(x86211,a910)))+E(f326(f326(f39(x86211,f922(x86212,a910)),x86213),f326(f326(f10(f922(x86212,a910),f922(x86212,a910),x86211),f326(f101(f922(x86212,a910)),x86214)),x86215)),f241(f922(x86212,a910)))
% 178.51/178.25 [8622]~E(x86223,f188(f922(x86221,a910)))+E(f326(f326(f40(x86221,f922(x86222,a910)),x86223),f326(f326(f10(f922(x86222,a910),f922(x86222,a910),x86221),f326(f110(f922(x86222,a910)),x86224)),x86225)),f188(f922(x86222,a910)))
% 178.51/178.25 [8624]~P145(x86242)+E(f326(f326(f8(x86241,x86242),f326(f326(f10(x86242,x86242,x86241),f326(f80(x86242),x86243)),x86244)),x86245),f326(f326(f80(x86242),x86243),f326(f326(f8(x86241,x86242),x86244),x86245)))
% 178.51/178.25 [8914]E(x89141,f188(f922(x89142,a910)))+E(f326(f326(f39(x89142,f922(x89143,a910)),x89141),f326(f326(f10(f922(x89143,a910),f922(x89143,a910),x89142),f326(f3(f922(x89143,a910)),x89144)),x89145)),f326(f326(f3(f922(x89143,a910)),x89144),f326(f326(f40(x89142,f922(x89143,a910)),x89141),x89145)))
% 178.51/178.25 [8915]E(x89151,f188(f922(x89152,a910)))+E(f326(f326(f39(x89152,f922(x89153,a910)),x89151),f326(f326(f10(f922(x89153,a910),f922(x89153,a910),x89152),f326(f101(f922(x89153,a910)),x89154)),x89155)),f326(f326(f101(f922(x89153,a910)),x89154),f326(f326(f39(x89152,f922(x89153,a910)),x89151),x89155)))
% 178.51/178.25 [8916]E(x89161,f188(f922(x89162,a910)))+E(f326(f326(f40(x89162,f922(x89163,a910)),x89161),f326(f326(f10(f922(x89163,a910),f922(x89163,a910),x89162),f326(f110(f922(x89163,a910)),x89164)),x89165)),f326(f326(f110(f922(x89163,a910)),x89164),f326(f326(f40(x89162,f922(x89163,a910)),x89161),x89165)))
% 178.51/178.25 [9115]~P106(f326(f326(f235(a914),f326(x91154,x91152)),f326(x91154,x91153)))+P106(f326(f326(f328(f921(x91151,x91151)),f326(f326(f251(x91151,x91151),x91152),x91153)),f153(x91151,f326(f326(f151(f922(x91151,a914)),x91154),x91155))))
% 178.51/178.25 [9378]~P24(x93782,x93781,x93783,f326(f326(f110(f922(x93782,a910)),x93784),x93785))+E(f326(f326(f101(f922(x93781,a910)),f326(f309(x93782,x93781,x93783),f326(f326(f3(f922(x93782,a910)),x93784),x93785))),f326(f309(x93782,x93781,x93783),f326(f326(f3(f922(x93782,a910)),x93785),x93784))),f188(f922(x93781,a910)))
% 178.51/178.25 [9638]~P24(x96383,x96381,x96385,f241(f922(x96383,a910)))+E(f326(f72(x96381,x96382,x96383,f326(f72(x96383,x96382,x96381,x96384),f91(x96383,x96381,f241(f922(x96383,a910)),x96385))),x96385),x96384)
% 178.51/178.25 [9673]~P106(f326(f326(f234(f922(x96733,a910)),f326(f284(x96731,x96733,x96734),x96732)),x96735))+P106(f326(f326(f234(f922(x96731,a910)),x96732),f326(f78(f922(x96731,a910)),f326(f284(x96733,x96731,f326(f285(x96731,x96733),x96734)),f326(f78(f922(x96733,a910)),x96735)))))
% 178.51/178.25 [9698]~P24(x96981,x96982,x96983,f326(f326(f308(x96981),x96984),x96985))+~P106(f326(f326(f328(x96982),f326(x96983,x96984)),f326(f309(x96981,x96982,x96983),f326(f326(f3(f922(x96981,a910)),x96985),f326(f326(f308(x96981),x96984),f188(f922(x96981,a910)))))))
% 178.51/178.25 [9751]P106(f326(f326(f234(f922(x97511,a910)),f326(f284(x97512,x97511,x97513),x97514)),x97515))+~P106(f326(f326(f234(f922(x97512,a910)),x97514),f326(f78(f922(x97512,a910)),f326(f284(x97511,x97512,f326(f285(x97512,x97511),x97513)),f326(f78(f922(x97511,a910)),x97515)))))
% 178.51/178.25 [9824]~P87(x98241)+P106(f326(f326(f234(x98241),f326(f75(x98241),f326(f326(f3(x98241),f326(f326(f79(x98241),x98242),x98243)),f326(f326(f79(x98241),x98244),x98245)))),f326(f326(f79(x98241),f326(f75(x98241),f326(f326(f3(x98241),x98242),x98244))),f326(f75(x98241),f326(f326(f3(x98241),x98243),x98245)))))
% 178.51/178.25 [9932]P106(f326(f326(f328(x99321),f467(x99322,x99323,x99324,x99321,x99325)),x99324))+P106(f326(f326(f234(f922(x99325,a910)),f326(f326(f40(x99321,f922(x99325,a910)),x99324),x99323)),x99322))
% 178.51/178.25 [10113]~P106(f326(f326(f234(f922(x101131,a910)),f326(x101134,f467(x101135,x101134,x101133,x101132,x101131))),x101135))+P106(f326(f326(f234(f922(x101131,a910)),f326(f326(f40(x101132,f922(x101131,a910)),x101133),x101134)),x101135))
% 178.51/178.25 [8728]E(f326(f326(f134(x87281),x87282),f326(f326(f159(x87281,x87283),f326(f326(f3(a914),x87284),f326(f189(f915(x87281)),x87282))),x87285)),f326(f326(f159(x87281,f326(f326(f134(x87281),x87282),x87283)),x87284),x87285))+P106(f326(f326(f235(a914),x87284),f326(f189(f915(x87281)),x87282)))
% 178.51/178.25 [8756]~P139(x87561)+E(f326(f326(f79(x87561),f326(f326(f80(x87561),x87562),x87563)),f326(f326(f79(x87561),f326(f326(f80(x87561),x87564),x87563)),x87565)),f326(f326(f79(x87561),f326(f326(f80(x87561),f326(f326(f79(x87561),x87562),x87564)),x87563)),x87565))
% 178.51/178.25 [9333]~P145(x93331)+E(f326(f165(x93331),f326(f326(f154(x93332,x93331),f326(f326(f10(x93331,x93331,x93332),f326(f80(x93331),x93333)),x93334)),x93335)),f326(f326(f80(x93331),x93333),f326(f165(x93331),f326(f326(f154(x93332,x93331),x93334),x93335))))
% 178.51/178.25 [9508]E(f326(f189(f915(x95081)),f326(f326(f175(x95081),f326(f326(f232(a914),f326(f189(f915(x95081)),x95082)),f326(f189(f915(x95083)),x95084))),x95082)),f326(f189(f915(x95083)),f326(f326(f175(x95083),f326(f326(f232(a914),f326(f189(f915(x95081)),x95082)),f326(f189(f915(x95083)),x95084))),x95084)))+P106(f326(x95085,f326(f326(f181(x95081,x95083),x95082),x95084)))
% 178.51/178.25 [9761]~P145(x97612)+E(f326(f326(f8(x97611,x97612),f326(f326(f9(x97611,x97612,x97612),f326(f326(f10(x97612,f922(x97612,x97612),x97611),f80(x97612)),x97613)),x97614)),x97615),f326(f326(f80(x97612),f326(f326(f8(x97611,x97612),x97613),x97615)),x97614))
% 178.51/178.25 [9762]~P64(x97622)+E(f326(f326(f8(x97621,x97622),f326(f326(f9(x97621,x97622,x97622),f326(f326(f10(x97622,f922(x97622,x97622),x97621),f289(x97622)),x97623)),x97624)),x97625),f326(f326(f289(x97622),f326(f326(f8(x97621,x97622),x97623),x97625)),x97624))
% 178.51/178.25 [9769]~P67(x97692)+E(f326(f326(f8(x97691,x97692),f326(f326(f20(x97691,x97692,x97692),f326(f326(f10(x97692,f922(x97692,x97692),x97691),f3(x97692)),x97693)),x97694)),x97695),f326(f326(f3(x97692),f326(f326(f8(x97691,x97692),x97693),x97695)),f326(f326(f8(x97691,x97692),x97694),x97695)))
% 178.51/178.25 [9770]~P70(x97702)+E(f326(f326(f8(x97701,x97702),f326(f326(f20(x97701,x97702,x97702),f326(f326(f10(x97702,f922(x97702,x97702),x97701),f79(x97702)),x97703)),x97704)),x97705),f326(f326(f79(x97702),f326(f326(f8(x97701,x97702),x97703),x97705)),f326(f326(f8(x97701,x97702),x97704),x97705)))
% 178.51/178.25 [9771]~P75(x97712)+E(f326(f326(f11(x97711,x97712),f326(f326(f20(x97711,x97712,x97712),f326(f326(f10(x97712,f922(x97712,x97712),x97711),f80(x97712)),x97713)),x97714)),x97715),f326(f326(f80(x97712),f326(f326(f11(x97711,x97712),x97713),x97715)),f326(f326(f11(x97711,x97712),x97714),x97715)))
% 178.51/178.25 [9809]~E(x98093,f188(f922(x98091,a910)))+E(f326(f326(f39(x98091,f922(x98092,a910)),x98093),f326(f326(f9(x98091,f922(x98092,a910),f922(x98092,a910)),f326(f326(f10(f922(x98092,a910),f922(f922(x98092,a910),f922(x98092,a910)),x98091),f3(f922(x98092,a910))),x98094)),x98095)),f241(f922(x98092,a910)))
% 178.51/178.25 [9810]~E(x98103,f188(f922(x98101,a910)))+E(f326(f326(f39(x98101,f922(x98102,a910)),x98103),f326(f326(f9(x98101,f922(x98102,a910),f922(x98102,a910)),f326(f326(f10(f922(x98102,a910),f922(f922(x98102,a910),f922(x98102,a910)),x98101),f101(f922(x98102,a910))),x98104)),x98105)),f241(f922(x98102,a910)))
% 178.51/178.25 [9811]~E(x98113,f188(f922(x98111,a910)))+E(f326(f326(f40(x98111,f922(x98112,a910)),x98113),f326(f326(f9(x98111,f922(x98112,a910),f922(x98112,a910)),f326(f326(f10(f922(x98112,a910),f922(f922(x98112,a910),f922(x98112,a910)),x98111),f110(f922(x98112,a910))),x98114)),x98115)),f188(f922(x98112,a910)))
% 178.51/178.25 [9832]E(x98321,f188(f922(x98322,a910)))+E(f326(f326(f39(x98322,f922(x98323,a910)),x98321),f326(f326(f9(x98322,f922(x98323,a910),f922(x98323,a910)),f326(f326(f10(f922(x98323,a910),f922(f922(x98323,a910),f922(x98323,a910)),x98322),f3(f922(x98323,a910))),x98324)),x98325)),f326(f326(f3(f922(x98323,a910)),f326(f326(f39(x98322,f922(x98323,a910)),x98321),x98324)),x98325))
% 178.51/178.25 [9833]E(x98331,f188(f922(x98332,a910)))+E(f326(f326(f39(x98332,f922(x98333,a910)),x98331),f326(f326(f9(x98332,f922(x98333,a910),f922(x98333,a910)),f326(f326(f10(f922(x98333,a910),f922(f922(x98333,a910),f922(x98333,a910)),x98332),f101(f922(x98333,a910))),x98334)),x98335)),f326(f326(f101(f922(x98333,a910)),f326(f326(f39(x98332,f922(x98333,a910)),x98331),x98334)),x98335))
% 178.51/178.25 [9834]E(x98341,f188(f922(x98342,a910)))+E(f326(f326(f40(x98342,f922(x98343,a910)),x98341),f326(f326(f9(x98342,f922(x98343,a910),f922(x98343,a910)),f326(f326(f10(f922(x98343,a910),f922(f922(x98343,a910),f922(x98343,a910)),x98342),f110(f922(x98343,a910))),x98344)),x98345)),f326(f326(f110(f922(x98343,a910)),f326(f326(f40(x98342,f922(x98343,a910)),x98341),x98344)),x98345))
% 178.51/178.25 [9383]~P106(f326(f326(f234(a914),x93831),x93834))+E(f326(f326(f3(a914),f326(f326(f79(a914),f326(f326(f80(a914),x93831),x93832)),x93833)),f326(f326(f79(a914),f326(f326(f80(a914),x93834),x93832)),x93835)),f326(f326(f3(a914),x93833),f326(f326(f79(a914),f326(f326(f80(a914),f326(f326(f3(a914),x93834),x93831)),x93832)),x93835)))
% 178.51/178.25 [9981]~P145(x99811)+E(f326(f165(x99811),f326(f326(f154(x99812,x99811),f326(f326(f9(x99812,x99811,x99811),f326(f326(f10(x99811,f922(x99811,x99811),x99812),f80(x99811)),x99813)),x99814)),x99815)),f326(f326(f80(x99811),f326(f165(x99811),f326(f326(f154(x99812,x99811),x99813),x99815))),x99814))
% 178.51/178.25 [9987]~P67(x99871)+E(f326(f165(x99871),f326(f326(f154(x99872,x99871),f326(f326(f20(x99872,x99871,x99871),f326(f326(f10(x99871,f922(x99871,x99871),x99872),f3(x99871)),x99873)),x99874)),x99875)),f326(f326(f3(x99871),f326(f165(x99871),f326(f326(f154(x99872,x99871),x99873),x99875))),f326(f165(x99871),f326(f326(f154(x99872,x99871),x99874),x99875))))
% 178.51/178.25 [9988]~P70(x99881)+E(f326(f165(x99881),f326(f326(f154(x99882,x99881),f326(f326(f20(x99882,x99881,x99881),f326(f326(f10(x99881,f922(x99881,x99881),x99882),f79(x99881)),x99883)),x99884)),x99885)),f326(f326(f79(x99881),f326(f165(x99881),f326(f326(f154(x99882,x99881),x99883),x99885))),f326(f165(x99881),f326(f326(f154(x99882,x99881),x99884),x99885))))
% 178.51/178.25 [10126]P106(f326(x101261,f326(f326(f181(x101262,x101263),x101264),x101265)))+~P106(f326(x101261,f326(f326(f181(x101262,x101263),f326(f326(f175(x101262),f326(f326(f232(a914),f326(f189(f915(x101262)),x101264)),f326(f189(f915(x101263)),x101265))),x101264)),f326(f326(f175(x101263),f326(f326(f232(a914),f326(f189(f915(x101262)),x101264)),f326(f189(f915(x101263)),x101265))),x101265))))
% 178.51/178.25 [10392]~P106(f326(f326(f328(f921(x103922,x103921)),f326(f326(f251(x103922,x103921),x103924),x103925)),f326(f285(x103921,x103922),x103923)))+P106(f326(f326(f242(x103921,x103922,f326(f326(f9(x103921,f922(f921(x103921,x103922),a910),f922(x103922,a910)),f326(f326(f10(f922(x103922,f922(f922(f921(x103921,x103922),a910),a910)),f922(f922(f921(x103921,x103922),a910),f922(x103922,a910)),x103921),f9(x103922,f922(f921(x103921,x103922),a910),a910)),f326(f326(f10(f922(x103922,f921(x103921,x103922)),f922(x103922,f922(f922(f921(x103921,x103922),a910),a910)),x103921),f326(f10(f921(x103921,x103922),f922(f922(f921(x103921,x103922),a910),a910),x103922),f328(f921(x103921,x103922)))),f251(x103921,x103922)))),x103923)),x103924),x103925))
% 178.51/178.25 [10403]P106(f326(f326(f328(f921(x104031,x104032)),f326(f326(f251(x104031,x104032),x104033),x104034)),f326(f285(x104032,x104031),x104035)))+~P106(f326(f326(f242(x104032,x104031,f326(f326(f9(x104032,f922(f921(x104032,x104031),a910),f922(x104031,a910)),f326(f326(f10(f922(x104031,f922(f922(f921(x104032,x104031),a910),a910)),f922(f922(f921(x104032,x104031),a910),f922(x104031,a910)),x104032),f9(x104031,f922(f921(x104032,x104031),a910),a910)),f326(f326(f10(f922(x104031,f921(x104032,x104031)),f922(x104031,f922(f922(f921(x104032,x104031),a910),a910)),x104032),f326(f10(f921(x104032,x104031),f922(f922(f921(x104032,x104031),a910),a910),x104031),f328(f921(x104032,x104031)))),f251(x104032,x104031)))),x104035)),x104033),x104034))
% 178.51/178.25 [9637]~P106(f326(f326(f234(a914),x96374),x96371))+E(f326(f326(f3(a914),f326(f326(f79(a914),f326(f326(f80(a914),x96371),x96372)),x96373)),f326(f326(f79(a914),f326(f326(f80(a914),x96374),x96372)),x96375)),f326(f326(f3(a914),f326(f326(f79(a914),f326(f326(f80(a914),f326(f326(f3(a914),x96371),x96374)),x96372)),x96373)),x96375))
% 178.51/178.25 [5442]E(x54421,x54422)+~E(f27(x54423,x54424,x54421),f27(x54425,x54426,x54422))
% 178.51/178.25 [5443]E(x54431,x54432)+~E(f27(x54433,x54431,x54434),f27(x54435,x54432,x54436))
% 178.51/178.25 [5444]E(x54441,x54442)+~E(f27(x54441,x54443,x54444),f27(x54442,x54445,x54446))
% 178.51/178.25 [5445]E(x54451,x54452)+~E(f26(x54453,x54454,x54451),f26(x54455,x54456,x54452))
% 178.51/178.25 [5446]E(x54461,x54462)+~E(f26(x54463,x54461,x54464),f26(x54465,x54462,x54466))
% 178.51/178.25 [5447]E(x54471,x54472)+~E(f26(x54471,x54473,x54474),f26(x54472,x54475,x54476))
% 178.51/178.25 [7465]E(x74651,x74652)+~E(f220(x74653,x74654,x74655,x74651),f220(x74653,x74654,x74656,x74652))
% 178.51/178.25 [7466]E(x74661,x74662)+~E(f220(x74663,x74664,x74661,x74665),f220(x74663,x74664,x74662,x74666))
% 178.51/178.25 [8568]~P18(x85685,x85681,x85682,x85686)+E(f326(f72(x85681,x85681,x85681,f326(x85682,x85683)),f326(x85682,x85684)),f326(f72(x85681,x85681,x85681,f326(x85682,x85684)),f326(x85682,x85683)))
% 178.51/178.25 [8800]~P56(x88004,x88005,x88002,x88001,x88006)+E(f326(x88001,f326(x88002,x88003)),x88003)
% 178.51/178.25 [8967]P24(x89671,x89672,x89673,x89674)+~P24(x89671,x89675,f326(f72(x89672,x89675,x89671,x89676),x89673),x89674)
% 178.51/178.25 [9040]~E(x90406,x90404)+E(f326(f74(x90401,x90402,x90403,x90404,x90405),x90406),x90405)
% 178.51/178.25 [9046]E(x90461,x90462)+E(f326(f74(x90463,x90464,x90465,x90462,x90466),x90461),f326(x90465,x90461))
% 178.51/178.25 [9058]~P24(x90584,x90582,f326(f72(x90581,x90582,x90584,x90583),x90585),x90586)+P24(x90581,x90582,x90583,f326(f309(x90584,x90581,x90585),x90586))
% 178.51/178.25 [9772]P106(f326(f61(x97721),x97722))+~P106(f326(f66(x97721,x97723,x97724,x97725,x97722),x97726))
% 178.51/178.25 [9781]~P106(f326(f326(f328(x97814),x97813),f299(x97814,x97815,x97811,x97812,x97816)))+P106(f326(f326(x97811,x97812),x97813))
% 178.51/178.25 [9782]~P106(f326(f326(f328(x97824),x97823),f296(x97824,x97821,x97825,x97822,x97826)))+P106(f326(f326(x97821,x97822),x97823))
% 178.51/178.25 [9783]~P106(f326(f326(f328(x97834),x97832),f299(x97834,x97831,x97835,x97836,x97833)))+P106(f326(f326(x97831,x97832),x97833))
% 178.51/178.25 [9784]~P106(f326(f326(f328(x97844),x97842),f296(x97844,x97845,x97841,x97846,x97843)))+P106(f326(f326(x97841,x97842),x97843))
% 178.51/178.25 [10275]P11(x102751,x102752,x102753,x102754,x102755,x102756)+~E(f326(f326(x102756,f851(x102753,x102756,x102755,x102752,x102754,x102751)),f854(x102753,x102756,x102755,x102752,x102754,x102751)),f326(f326(x102756,f852(x102753,x102756,x102755,x102752,x102754,x102751)),f853(x102753,x102756,x102755,x102752,x102754,x102751)))
% 178.51/178.25 [5952]E(x59521,x59522)+~E(f326(f326(f251(x59523,x59524),x59525),x59521),f326(f326(f251(x59523,x59524),x59526),x59522))
% 178.51/178.25 [5954]E(x59541,x59542)+~E(f326(f326(f251(x59543,x59544),x59541),x59545),f326(f326(f251(x59543,x59544),x59542),x59546))
% 178.51/178.25 [6095]~P15(x60955,x60956,x60951)+E(f326(f326(x60951,x60952),f326(f326(x60951,x60953),x60954)),f326(f326(x60951,x60953),f326(f326(x60951,x60952),x60954)))
% 178.51/178.25 [7529]~P32(x75294,x75291,f326(f326(f151(x75294),x75292),x75295),f326(f326(f151(x75294),x75293),x75296))+P106(f326(f326(x75291,x75292),x75293))
% 178.51/178.25 [7881]P32(x78811,x78812,x78813,x78814)+~P32(x78811,x78812,f326(f326(f151(x78811),x78815),x78813),f326(f326(f151(x78811),x78816),x78814))
% 178.51/178.25 [8904]~P56(x89045,x89041,x89042,x89046,x89044)+P106(f326(f326(f328(x89041),f326(x89042,x89043)),x89044))
% 178.51/178.25 [9106]~E(x91063,f326(f326(f151(x91061),x91065),x91066))+P106(f326(f326(f328(f921(f915(x91061),f915(x91061))),f326(f326(f251(f915(x91061),f915(x91061)),x91062),f326(f326(f134(x91061),x91062),x91063))),f147(x91061,x91064)))
% 178.51/178.25 [9339]~P34(x93391,x93392,x93393,x93395,x93396)+P34(x93391,x93392,x93393,f326(f326(f175(x93391),x93394),x93395),f326(f326(f175(x93392),x93394),x93396))
% 178.51/178.25 [9340]~P34(x93401,x93402,x93403,x93405,x93406)+P34(x93401,x93402,x93403,f326(f326(f138(x93401),x93404),x93405),f326(f326(f138(x93402),x93404),x93406))
% 178.51/178.25 [9599]E(f326(f309(x95991,x95992,f74(x95991,x95992,x95993,x95994,x95995)),x95996),f326(f309(x95991,x95992,x95993),x95996))+P106(f326(f326(f328(x95991),x95994),x95996))
% 178.51/178.25 [9602]E(f326(f326(f154(x96021,x96022),f74(x96021,x96022,x96023,x96024,x96025)),x96026),f326(f326(f154(x96021,x96022),x96023),x96026))+P106(f326(f326(f328(x96021),x96024),f326(f172(x96021),x96026)))
% 178.51/178.25 [9844]~P22(x98444,x98442,x98445,x98443,x98446,x98441)+E(f326(x98441,f188(f922(x98442,a910))),x98443)
% 178.51/178.25 [10077]~E(f326(x100774,f326(f250(x100771,x100773),x100775)),f326(x100776,f326(f250(x100771,x100773),x100775)))+E(f326(f257(x100771,x100772,x100773,x100773,x100774,f31(x100773)),x100775),f326(f257(x100771,x100772,x100773,x100773,x100776,f31(x100773)),x100775))
% 178.51/178.25 [10078]~E(f326(x100784,f326(f255(x100781,x100782),x100785)),f326(x100786,f326(f255(x100781,x100782),x100785)))+E(f326(f257(x100781,x100781,x100782,x100783,f31(x100781),x100784),x100785),f326(f257(x100781,x100781,x100782,x100783,f31(x100781),x100786),x100785))
% 178.51/178.25 [10122]~E(f326(f257(x101222,x101226,x101223,x101223,x101221,f31(x101223)),x101224),f326(f257(x101222,x101226,x101223,x101223,x101225,f31(x101223)),x101224))+E(f326(x101221,f326(f250(x101222,x101223),x101224)),f326(x101225,f326(f250(x101222,x101223),x101224)))
% 178.51/178.25 [10123]~E(f326(f257(x101232,x101232,x101233,x101236,f31(x101232),x101231),x101234),f326(f257(x101232,x101232,x101233,x101236,f31(x101232),x101235),x101234))+E(f326(x101231,f326(f255(x101232,x101233),x101234)),f326(x101235,f326(f255(x101232,x101233),x101234)))
% 178.51/178.25 [9007]P106(f326(f326(f328(x90071),x90072),x90073))+~P106(f326(f326(f328(f921(x90071,x90074)),f326(f326(f251(x90071,x90074),x90072),x90075)),f326(f326(f253(x90071,x90074),x90073),x90076)))
% 178.51/178.25 [9023]P106(f326(f326(f328(x90231),x90232),f326(x90233,x90234)))+~P106(f326(f326(f328(f921(x90235,x90231)),f326(f326(f251(x90235,x90231),x90234),x90232)),f326(f326(f253(x90235,x90231),x90236),x90233)))
% 178.51/178.25 [9458]P106(f326(f326(f328(f921(x94581,x94581)),f326(f326(f251(x94581,x94581),f326(x94582,x94583)),f326(x94582,x94584))),x94585))+~P106(f326(f326(f328(f921(x94586,x94586)),f326(f326(f251(x94586,x94586),x94583),x94584)),f326(f326(f287(x94581,x94586),x94585),x94582)))
% 178.51/178.25 [9478]~P106(f326(f326(f328(f921(x94784,x94784)),f326(f326(f251(x94784,x94784),f326(x94786,x94782)),f326(x94786,x94783))),x94785))+P106(f326(f326(f328(f921(x94781,x94781)),f326(f326(f251(x94781,x94781),x94782),x94783)),f326(f326(f287(x94784,x94781),x94785),x94786)))
% 178.51/178.25 [10125]E(f326(f326(f251(x101251,x101252),f649(x101253,x101254,x101255,x101256,x101252,x101251)),f650(x101253,x101254,x101255,x101256,x101252,x101251)),x101256)+~P106(f326(f326(f328(f921(x101251,x101252)),x101256),f326(f326(f288(x101251,x101255,x101252),x101254),x101253)))
% 178.51/178.25 [10346]~P106(f326(f326(f328(f921(x103461,x103466)),x103465),f326(f326(f288(x103461,x103462,x103466),x103464),x103463)))+P106(f326(f326(f328(f921(x103461,x103462)),f326(f326(f251(x103461,x103462),f649(x103463,x103464,x103462,x103465,x103466,x103461)),f651(x103463,x103464,x103462,x103465,x103466,x103461))),x103464))
% 178.51/178.25 [10347]~P106(f326(f326(f328(f921(x103476,x103472)),x103475),f326(f326(f288(x103476,x103471,x103472),x103474),x103473)))+P106(f326(f326(f328(f921(x103471,x103472)),f326(f326(f251(x103471,x103472),f651(x103473,x103474,x103471,x103475,x103472,x103476)),f650(x103473,x103474,x103471,x103475,x103472,x103476))),x103473))
% 178.51/178.25 [10348]P11(x103481,x103482,x103483,x103484,x103485,x103486)+P106(f326(f326(f328(f921(x103482,x103482)),f326(f326(f251(x103482,x103482),f853(x103483,x103486,x103485,x103482,x103484,x103481)),f854(x103483,x103486,x103485,x103482,x103484,x103481))),x103485))
% 178.51/178.25 [10349]P11(x103491,x103492,x103493,x103494,x103495,x103496)+P106(f326(f326(f328(f921(x103491,x103491)),f326(f326(f251(x103491,x103491),f852(x103493,x103496,x103495,x103492,x103494,x103491)),f851(x103493,x103496,x103495,x103492,x103494,x103491))),x103494))
% 178.51/178.25 [7951]~P4(x79512)+E(f326(f326(f39(x79511,x79512),x79513),f326(f326(f9(x79511,x79514,x79512),x79515),x79516)),f326(f326(f326(f39(x79511,f922(x79514,x79512)),x79513),x79515),x79516))
% 178.51/178.25 [7952]~P4(x79522)+E(f326(f326(f40(x79521,x79522),x79523),f326(f326(f9(x79521,x79524,x79522),x79525),x79526)),f326(f326(f326(f40(x79521,f922(x79524,x79522)),x79523),x79525),x79526))
% 178.51/178.25 [8711]E(f326(f326(f40(x87111,f922(x87112,a910)),x87113),f326(f326(f10(f922(x87112,a910),f922(x87112,a910),x87111),f326(f308(x87112),x87114)),x87115)),f326(f326(f308(x87112),x87114),f326(f326(f40(x87111,f922(x87112,a910)),x87113),x87115)))+~P106(f326(f326(f328(x87111),x87116),x87113))
% 178.51/178.25 [9159]~P4(x91592)+E(f326(f326(f39(x91591,x91592),x91593),f326(f326(f10(f922(x91594,x91592),x91592,x91591),f326(f39(x91594,x91592),x91595)),f326(f9(x91594,x91591,x91592),x91596))),f326(f326(f39(x91594,x91592),x91595),f326(f326(f10(f922(x91591,x91592),x91592,x91594),f326(f39(x91591,x91592),x91593)),x91596)))
% 178.51/178.25 [9160]~P4(x91602)+E(f326(f326(f40(x91601,x91602),x91603),f326(f326(f10(f922(x91604,x91602),x91602,x91601),f326(f40(x91604,x91602),x91605)),f326(f9(x91604,x91601,x91602),x91606))),f326(f326(f40(x91604,x91602),x91605),f326(f326(f10(f922(x91601,x91602),x91602,x91604),f326(f40(x91601,x91602),x91603)),x91606)))
% 178.51/178.25 [9365]P106(f326(f326(f328(x93651),x93652),f326(f172(x93651),x93653)))+~P106(f326(f326(f328(f921(x93654,x93651)),f326(f326(f251(x93654,x93651),x93655),x93652)),f326(f172(f921(x93654,x93651)),f326(f326(f181(x93654,x93651),x93656),x93653))))
% 178.51/178.25 [9366]P106(f326(f326(f328(x93661),x93662),f326(f172(x93661),x93663)))+~P106(f326(f326(f328(f921(x93661,x93664)),f326(f326(f251(x93661,x93664),x93662),x93665)),f326(f172(f921(x93661,x93664)),f326(f326(f181(x93661,x93664),x93663),x93666))))
% 178.51/178.25 [9474]P106(f326(f326(f234(f922(x94741,a910)),f326(f284(x94742,x94741,x94743),x94744)),x94745))+~P106(f326(f326(f234(f922(f921(x94742,x94741),a910)),x94743),f326(f326(f253(x94742,x94741),x94746),f326(f18(f922(x94741,a910),x94742),x94745))))
% 178.51/178.25 [9479]~P25(x94794,x94792,x94795,f241(f922(x94794,a910)),f241(f922(x94792,a910)))+E(f326(f326(f39(x94791,f922(x94792,a910)),x94793),f326(f326(f10(f922(x94794,a910),f922(x94792,a910),x94791),f309(x94794,x94792,x94795)),x94796)),f326(f309(x94794,x94792,x94795),f326(f326(f39(x94791,f922(x94794,a910)),x94793),x94796)))
% 178.51/178.25 [9676]P106(f326(f326(f328(f921(f915(x96761),f915(x96761))),f326(f326(f251(f915(x96761),f915(x96761)),f326(f326(f151(x96761),x96762),x96763)),f326(f326(f151(x96761),x96764),x96765))),f147(x96761,x96766)))+~P106(f326(f326(f328(f921(x96761,x96761)),f326(f326(f251(x96761,x96761),x96762),x96764)),x96766))
% 178.51/178.25 [10121]E(f326(f326(f251(x101211,x101212),f589(x101213,x101214,x101215,x101212,x101211,x101216)),f590(x101213,x101214,x101215,x101212,x101211,x101216)),x101216)+P106(f326(f326(f328(x101215),x101214),f326(f326(f256(x101211,x101212,f922(x101215,a910)),x101213),x101216)))
% 178.51/178.25 [10127]E(f326(f326(f251(x101271,x101272),f591(x101273,x101274,x101272,x101271,x101275,x101276)),f592(x101273,x101274,x101272,x101271,x101275,x101276)),x101273)+~P106(f326(f326(f328(x101276),x101275),f326(f326(f256(x101271,x101272,f922(x101276,a910)),x101274),x101273)))
% 178.51/178.25 [10290]P106(f326(f326(f328(x102901),x102902),f326(f326(x102903,f591(x102904,x102903,x102905,x102906,x102902,x102901)),f592(x102904,x102903,x102905,x102906,x102902,x102901))))+~P106(f326(f326(f328(x102901),x102902),f326(f326(f256(x102906,x102905,f922(x102901,a910)),x102903),x102904)))
% 178.51/178.25 [10319]~P106(f326(f326(f328(x103191),x103192),f326(f326(x103195,f589(x103195,x103192,x103191,x103194,x103193,x103196)),f590(x103195,x103192,x103191,x103194,x103193,x103196))))+P106(f326(f326(f328(x103191),x103192),f326(f326(f256(x103193,x103194,f922(x103191,a910)),x103195),x103196)))
% 178.51/178.25 [8612]E(x86121,x86122)+E(f326(f326(f159(x86123,f326(f326(f159(x86123,x86124),x86121),x86125)),x86122),x86126),f326(f326(f159(x86123,f326(f326(f159(x86123,x86124),x86122),x86126)),x86121),x86125))
% 178.51/178.25 [9736]~P106(f326(f326(f328(x97363),x97366),x97365))+E(f326(f326(f308(x97361),x97362),f326(f309(x97363,x97361,x97364),f326(f326(f3(f922(x97363,a910)),x97365),f326(f326(f308(x97363),x97366),f188(f922(x97363,a910)))))),f326(f309(x97363,x97361,f74(x97363,x97361,x97364,x97366,x97362)),x97365))
% 178.51/178.25 [9238]~P106(f326(f326(x92384,x92385),x92386))+P106(f326(f326(f326(f326(f110(f922(x92381,f922(x92382,a910))),x92383),x92384),x92385),x92386))
% 178.51/178.25 [9240]~P106(f326(f326(x92403,x92405),x92406))+P106(f326(f326(f326(f326(f110(f922(x92401,f922(x92402,a910))),x92403),x92404),x92405),x92406))
% 178.51/178.25 [9529]P106(f326(f326(x95291,x95292),x95293))+~P106(f326(f326(f326(f326(f101(f922(x95294,f922(x95295,a910))),x95296),x95291),x95292),x95293))
% 178.51/178.25 [9530]P106(f326(f326(x95301,x95302),x95303))+~P106(f326(f326(f326(f326(f101(f922(x95304,f922(x95305,a910))),x95301),x95306),x95302),x95303))
% 178.51/178.25 [9969]~P70(x99692)+E(f326(f326(f8(x99691,x99692),f326(f326(f9(x99691,f922(x99693,a910),x99692),f326(f326(f10(f922(x99693,x99692),f922(f922(x99693,a910),x99692),x99691),f8(x99693,x99692)),x99694)),x99695)),x99696),f326(f326(f8(f921(x99691,x99693),x99692),f326(f256(x99691,x99693,x99692),x99694)),f326(f326(f253(x99691,x99693),x99696),f326(f18(f922(x99693,a910),x99691),x99695))))
% 178.51/178.25 [9970]~P75(x99702)+E(f326(f326(f11(x99701,x99702),f326(f326(f9(x99701,f922(x99703,a910),x99702),f326(f326(f10(f922(x99703,x99702),f922(f922(x99703,a910),x99702),x99701),f11(x99703,x99702)),x99704)),x99705)),x99706),f326(f326(f11(f921(x99701,x99703),x99702),f326(f256(x99701,x99703,x99702),x99704)),f326(f326(f253(x99701,x99703),x99706),f326(f18(f922(x99703,a910),x99701),x99705))))
% 178.51/178.25 [10104]~P70(x101042)+E(f326(f326(f8(x101041,x101042),f326(f326(f9(x101041,f922(x101043,a910),x101042),f326(f326(f10(f922(x101043,x101042),f922(f922(x101043,a910),x101042),x101041),f8(x101043,x101042)),f326(f9(x101043,x101041,x101042),x101044))),x101045)),x101046),f326(f326(f8(x101043,x101042),f326(f326(f9(x101043,f922(x101041,a910),x101042),f326(f326(f10(f922(x101041,x101042),f922(f922(x101041,a910),x101042),x101043),f8(x101041,x101042)),x101044)),x101046)),x101045))
% 178.51/178.25 [10415]~P106(f326(f326(f328(f921(x104151,x104152)),f326(f326(f251(x104151,x104152),x104155),x104156)),f326(f326(f110(f922(f921(x104151,x104152),a910)),x104153),x104154)))+P106(f326(f326(f326(f326(f110(f922(x104151,f922(x104152,a910))),f326(f326(f9(x104151,f922(f921(x104151,x104152),a910),f922(x104152,a910)),f326(f326(f10(f922(x104152,f922(f922(f921(x104151,x104152),a910),a910)),f922(f922(f921(x104151,x104152),a910),f922(x104152,a910)),x104151),f9(x104152,f922(f921(x104151,x104152),a910),a910)),f326(f326(f10(f922(x104152,f921(x104151,x104152)),f922(x104152,f922(f922(f921(x104151,x104152),a910),a910)),x104151),f326(f10(f921(x104151,x104152),f922(f922(f921(x104151,x104152),a910),a910),x104152),f328(f921(x104151,x104152)))),f251(x104151,x104152)))),x104153)),f326(f326(f9(x104151,f922(f921(x104151,x104152),a910),f922(x104152,a910)),f326(f326(f10(f922(x104152,f922(f922(f921(x104151,x104152),a910),a910)),f922(f922(f921(x104151,x104152),a910),f922(x104152,a910)),x104151),f9(x104152,f922(f921(x104151,x104152),a910),a910)),f326(f326(f10(f922(x104152,f921(x104151,x104152)),f922(x104152,f922(f922(f921(x104151,x104152),a910),a910)),x104151),f326(f10(f921(x104151,x104152),f922(f922(f921(x104151,x104152),a910),a910),x104152),f328(f921(x104151,x104152)))),f251(x104151,x104152)))),x104154)),x104155),x104156))
% 178.51/178.25 [10416]~P106(f326(f326(f328(f921(x104161,x104162)),f326(f326(f251(x104161,x104162),x104165),x104166)),f326(f326(f101(f922(f921(x104161,x104162),a910)),x104163),x104164)))+P106(f326(f326(f326(f326(f101(f922(x104161,f922(x104162,a910))),f326(f326(f9(x104161,f922(f921(x104161,x104162),a910),f922(x104162,a910)),f326(f326(f10(f922(x104162,f922(f922(f921(x104161,x104162),a910),a910)),f922(f922(f921(x104161,x104162),a910),f922(x104162,a910)),x104161),f9(x104162,f922(f921(x104161,x104162),a910),a910)),f326(f326(f10(f922(x104162,f921(x104161,x104162)),f922(x104162,f922(f922(f921(x104161,x104162),a910),a910)),x104161),f326(f10(f921(x104161,x104162),f922(f922(f921(x104161,x104162),a910),a910),x104162),f328(f921(x104161,x104162)))),f251(x104161,x104162)))),x104163)),f326(f326(f9(x104161,f922(f921(x104161,x104162),a910),f922(x104162,a910)),f326(f326(f10(f922(x104162,f922(f922(f921(x104161,x104162),a910),a910)),f922(f922(f921(x104161,x104162),a910),f922(x104162,a910)),x104161),f9(x104162,f922(f921(x104161,x104162),a910),a910)),f326(f326(f10(f922(x104162,f921(x104161,x104162)),f922(x104162,f922(f922(f921(x104161,x104162),a910),a910)),x104161),f326(f10(f921(x104161,x104162),f922(f922(f921(x104161,x104162),a910),a910),x104162),f328(f921(x104161,x104162)))),f251(x104161,x104162)))),x104164)),x104165),x104166))
% 178.51/178.25 [10425]P106(f326(f326(f328(f921(x104251,x104252)),f326(f326(f251(x104251,x104252),x104253),x104254)),f326(f326(f110(f922(f921(x104251,x104252),a910)),x104255),x104256)))+~P106(f326(f326(f326(f326(f110(f922(x104251,f922(x104252,a910))),f326(f326(f9(x104251,f922(f921(x104251,x104252),a910),f922(x104252,a910)),f326(f326(f10(f922(x104252,f922(f922(f921(x104251,x104252),a910),a910)),f922(f922(f921(x104251,x104252),a910),f922(x104252,a910)),x104251),f9(x104252,f922(f921(x104251,x104252),a910),a910)),f326(f326(f10(f922(x104252,f921(x104251,x104252)),f922(x104252,f922(f922(f921(x104251,x104252),a910),a910)),x104251),f326(f10(f921(x104251,x104252),f922(f922(f921(x104251,x104252),a910),a910),x104252),f328(f921(x104251,x104252)))),f251(x104251,x104252)))),x104255)),f326(f326(f9(x104251,f922(f921(x104251,x104252),a910),f922(x104252,a910)),f326(f326(f10(f922(x104252,f922(f922(f921(x104251,x104252),a910),a910)),f922(f922(f921(x104251,x104252),a910),f922(x104252,a910)),x104251),f9(x104252,f922(f921(x104251,x104252),a910),a910)),f326(f326(f10(f922(x104252,f921(x104251,x104252)),f922(x104252,f922(f922(f921(x104251,x104252),a910),a910)),x104251),f326(f10(f921(x104251,x104252),f922(f922(f921(x104251,x104252),a910),a910),x104252),f328(f921(x104251,x104252)))),f251(x104251,x104252)))),x104256)),x104253),x104254))
% 178.51/178.25 [10426]P106(f326(f326(f328(f921(x104261,x104262)),f326(f326(f251(x104261,x104262),x104263),x104264)),f326(f326(f101(f922(f921(x104261,x104262),a910)),x104265),x104266)))+~P106(f326(f326(f326(f326(f101(f922(x104261,f922(x104262,a910))),f326(f326(f9(x104261,f922(f921(x104261,x104262),a910),f922(x104262,a910)),f326(f326(f10(f922(x104262,f922(f922(f921(x104261,x104262),a910),a910)),f922(f922(f921(x104261,x104262),a910),f922(x104262,a910)),x104261),f9(x104262,f922(f921(x104261,x104262),a910),a910)),f326(f326(f10(f922(x104262,f921(x104261,x104262)),f922(x104262,f922(f922(f921(x104261,x104262),a910),a910)),x104261),f326(f10(f921(x104261,x104262),f922(f922(f921(x104261,x104262),a910),a910),x104262),f328(f921(x104261,x104262)))),f251(x104261,x104262)))),x104265)),f326(f326(f9(x104261,f922(f921(x104261,x104262),a910),f922(x104262,a910)),f326(f326(f10(f922(x104262,f922(f922(f921(x104261,x104262),a910),a910)),f922(f922(f921(x104261,x104262),a910),f922(x104262,a910)),x104261),f9(x104262,f922(f921(x104261,x104262),a910),a910)),f326(f326(f10(f922(x104262,f921(x104261,x104262)),f922(x104262,f922(f922(f921(x104261,x104262),a910),a910)),x104261),f326(f10(f921(x104261,x104262),f922(f922(f921(x104261,x104262),a910),a910),x104262),f328(f921(x104261,x104262)))),f251(x104261,x104262)))),x104266)),x104263),x104264))
% 178.51/178.25 [10409]~P106(f326(f326(f328(f921(x104092,x104093)),f326(f326(f251(x104092,x104093),x104095),x104096)),f326(f326(f39(x104091,f922(f921(x104092,x104093),a910)),f241(f922(x104091,a910))),x104094)))+P106(f326(f326(f326(f326(f39(x104091,f922(x104092,f922(x104093,a910))),f241(f922(x104091,a910))),f326(f326(f10(f922(f921(x104092,x104093),a910),f922(x104092,f922(x104093,a910)),x104091),f326(f9(x104092,f922(f921(x104092,x104093),a910),f922(x104093,a910)),f326(f326(f10(f922(x104093,f922(f922(f921(x104092,x104093),a910),a910)),f922(f922(f921(x104092,x104093),a910),f922(x104093,a910)),x104092),f9(x104093,f922(f921(x104092,x104093),a910),a910)),f326(f326(f10(f922(x104093,f921(x104092,x104093)),f922(x104093,f922(f922(f921(x104092,x104093),a910),a910)),x104092),f326(f10(f921(x104092,x104093),f922(f922(f921(x104092,x104093),a910),a910),x104093),f328(f921(x104092,x104093)))),f251(x104092,x104093))))),x104094)),x104095),x104096))
% 178.51/178.25 [10410]~P106(f326(f326(f328(f921(x104102,x104103)),f326(f326(f251(x104102,x104103),x104105),x104106)),f326(f326(f40(x104101,f922(f921(x104102,x104103),a910)),f241(f922(x104101,a910))),x104104)))+P106(f326(f326(f326(f326(f40(x104101,f922(x104102,f922(x104103,a910))),f241(f922(x104101,a910))),f326(f326(f10(f922(f921(x104102,x104103),a910),f922(x104102,f922(x104103,a910)),x104101),f326(f9(x104102,f922(f921(x104102,x104103),a910),f922(x104103,a910)),f326(f326(f10(f922(x104103,f922(f922(f921(x104102,x104103),a910),a910)),f922(f922(f921(x104102,x104103),a910),f922(x104103,a910)),x104102),f9(x104103,f922(f921(x104102,x104103),a910),a910)),f326(f326(f10(f922(x104103,f921(x104102,x104103)),f922(x104103,f922(f922(f921(x104102,x104103),a910),a910)),x104102),f326(f10(f921(x104102,x104103),f922(f922(f921(x104102,x104103),a910),a910),x104103),f328(f921(x104102,x104103)))),f251(x104102,x104103))))),x104104)),x104105),x104106))
% 178.51/178.25 [10419]P106(f326(f326(f328(f921(x104191,x104192)),f326(f326(f251(x104191,x104192),x104193),x104194)),f326(f326(f39(x104195,f922(f921(x104191,x104192),a910)),f241(f922(x104195,a910))),x104196)))+~P106(f326(f326(f326(f326(f39(x104195,f922(x104191,f922(x104192,a910))),f241(f922(x104195,a910))),f326(f326(f10(f922(f921(x104191,x104192),a910),f922(x104191,f922(x104192,a910)),x104195),f326(f9(x104191,f922(f921(x104191,x104192),a910),f922(x104192,a910)),f326(f326(f10(f922(x104192,f922(f922(f921(x104191,x104192),a910),a910)),f922(f922(f921(x104191,x104192),a910),f922(x104192,a910)),x104191),f9(x104192,f922(f921(x104191,x104192),a910),a910)),f326(f326(f10(f922(x104192,f921(x104191,x104192)),f922(x104192,f922(f922(f921(x104191,x104192),a910),a910)),x104191),f326(f10(f921(x104191,x104192),f922(f922(f921(x104191,x104192),a910),a910),x104192),f328(f921(x104191,x104192)))),f251(x104191,x104192))))),x104196)),x104193),x104194))
% 178.51/178.25 [10420]P106(f326(f326(f328(f921(x104201,x104202)),f326(f326(f251(x104201,x104202),x104203),x104204)),f326(f326(f40(x104205,f922(f921(x104201,x104202),a910)),f241(f922(x104205,a910))),x104206)))+~P106(f326(f326(f326(f326(f40(x104205,f922(x104201,f922(x104202,a910))),f241(f922(x104205,a910))),f326(f326(f10(f922(f921(x104201,x104202),a910),f922(x104201,f922(x104202,a910)),x104205),f326(f9(x104201,f922(f921(x104201,x104202),a910),f922(x104202,a910)),f326(f326(f10(f922(x104202,f922(f922(f921(x104201,x104202),a910),a910)),f922(f922(f921(x104201,x104202),a910),f922(x104202,a910)),x104201),f9(x104202,f922(f921(x104201,x104202),a910),a910)),f326(f326(f10(f922(x104202,f921(x104201,x104202)),f922(x104202,f922(f922(f921(x104201,x104202),a910),a910)),x104201),f326(f10(f921(x104201,x104202),f922(f922(f921(x104201,x104202),a910),a910),x104202),f328(f921(x104201,x104202)))),f251(x104201,x104202))))),x104206)),x104203),x104204))
% 178.51/178.25 [7634]E(f326(x76341,f326(x76342,x76343)),f326(x76344,x76343))+~E(f326(f72(x76345,x76346,x76347,x76341),x76342),x76344)
% 178.51/178.25 [9752]E(x97521,x97522)+E(f74(x97523,x97524,f74(x97523,x97524,x97525,x97521,x97526),x97522,x97527),f74(x97523,x97524,f74(x97523,x97524,x97525,x97522,x97527),x97521,x97526))
% 178.51/178.25 [9843]~P21(x98433,x98434,x98431,x98435,x98436,x98437)+E(f326(f326(x98431,x98432),x98432),x98432)
% 178.51/178.25 [6194]~E(f326(f326(f154(x61941,x61945),x61946),x61942),f326(f326(f154(x61943,x61945),x61947),x61944))+E(f326(f189(f915(x61941)),x61942),f326(f189(f915(x61943)),x61944))
% 178.51/178.25 [8643]E(f326(x86431,f326(x86432,x86433)),f326(x86434,x86433))+~E(f326(f72(x86435,x86436,x86437,x86431),x86432),f326(f72(x86436,x86436,x86437,f31(x86436)),x86434))
% 178.51/178.25 [8996]~P34(x89964,x89965,x89961,f326(f326(f151(x89964),x89962),x89966),f326(f326(f151(x89965),x89963),x89967))+P106(f326(f326(x89961,x89962),x89963))
% 178.51/178.25 [9372]P34(x93721,x93722,x93723,x93724,x93725)+~P34(x93721,x93722,x93723,f326(f326(f151(x93721),x93726),x93724),f326(f326(f151(x93722),x93727),x93725))
% 178.51/178.25 [10003]P106(f326(f326(x100031,x100032),f561(x100033,x100032,x100034,x100031)))+~P106(f326(f326(f252(x100035,x100036,x100037,x100031,x100034),x100032),x100033))
% 178.51/178.25 [10027]P106(f326(f326(x100271,f561(x100272,x100273,x100271,x100274)),x100272))+~P106(f326(f326(f252(x100275,x100276,x100277,x100274,x100271),x100273),x100272))
% 178.51/178.25 [6241]E(x62411,x62412)+~E(f326(f326(f326(f90(x62413),x62414),x62415),x62411),f326(f326(f326(f90(x62413),x62416),x62417),x62412))
% 178.51/178.25 [6242]E(x62421,x62422)+~E(f326(f326(f326(f90(x62423),x62424),x62421),x62425),f326(f326(f326(f90(x62423),x62426),x62422),x62427))
% 178.51/178.25 [6243]E(x62431,x62432)+~E(f326(f326(f326(f90(x62433),x62431),x62434),x62435),f326(f326(f326(f90(x62433),x62432),x62436),x62437))
% 178.51/178.25 [9113]~P19(x91136,x91131,x91133,x91137)+E(f326(f72(x91131,x91131,x91132,f326(x91133,x91134)),f326(f72(x91131,x91131,x91132,f326(x91133,x91134)),x91135)),f326(f72(x91131,x91131,x91132,f326(x91133,x91134)),x91135))
% 178.51/178.25 [9482]~P34(x94823,x94822,x94824,f326(f326(f154(x94821,x94823),x94825),x94826),x94827)+P34(x94821,x94822,f326(f326(f10(x94823,f922(x94822,a910),x94821),x94824),x94825),x94826,x94827)
% 178.51/178.25 [9505]P34(x95051,x95052,x95053,f326(f326(f154(x95054,x95051),x95055),x95056),x95057)+~P34(x95054,x95052,f326(f326(f10(x95051,f922(x95052,a910),x95054),x95053),x95055),x95056,x95057)
% 178.51/178.25 [9112]~P106(f326(f326(f328(x91121),x91122),f326(f326(x91125,x91126),x91127)))+P106(f326(f326(f328(x91121),x91122),f326(f326(f256(x91123,x91124,f922(x91121,a910)),x91125),f326(f326(f251(x91123,x91124),x91126),x91127))))
% 178.51/178.25 [9396]P106(f326(f326(f326(x93961,x93962),x93963),x93964))+~P106(f326(f326(f326(f256(x93965,x93966,f922(x93967,a910)),x93961),f326(f326(f251(x93965,x93966),x93962),x93963)),x93964))
% 178.51/178.25 [9544]P106(f326(f326(f328(x95441),f326(f326(x95442,x95443),x95444)),f326(f309(f921(x95445,x95446),x95441,f326(f256(x95445,x95446,x95441),x95442)),x95447)))+~P106(f326(f326(f328(f921(x95445,x95446)),f326(f326(f251(x95445,x95446),x95443),x95444)),x95447))
% 178.51/178.25 [9890]P106(f326(f326(f328(f921(f915(x98901),f915(x98901))),f326(f326(f251(f915(x98901),f915(x98901)),f326(f326(f134(x98901),x98902),f326(f326(f151(x98901),x98903),x98904))),f326(f326(f134(x98901),x98902),f326(f326(f151(x98901),x98905),x98906)))),f147(x98901,x98907)))+~P106(f326(f326(f328(f921(x98901,x98901)),f326(f326(f251(x98901,x98901),x98903),x98905)),x98907))
% 178.51/178.25 [9954]~P34(x99541,x99543,x99544,x99546,f326(f326(f154(x99542,x99543),x99545),x99547))+P34(x99541,x99542,f326(f326(f9(x99541,f922(x99542,x99543),f922(x99542,a910)),f326(f326(f10(f922(x99543,a910),f922(f922(x99542,x99543),f922(x99542,a910)),x99541),f10(x99543,a910,x99542)),x99544)),x99545),x99546,x99547)
% 178.51/178.25 [10031]P34(x100311,x100312,x100313,x100314,f326(f326(f154(x100315,x100312),x100316),x100317))+~P34(x100311,x100315,f326(f326(f9(x100311,f922(x100315,x100312),f922(x100315,a910)),f326(f326(f10(f922(x100312,a910),f922(f922(x100315,x100312),f922(x100315,a910)),x100311),f10(x100312,a910,x100315)),x100313)),x100316),x100314,x100317)
% 178.51/178.25 [10333]P106(f326(f326(f328(x103331),f430(x103332,x103333,x103334,x103335,x103336,x103337,x103331)),x103335))+P106(f326(f326(f326(f326(f39(x103331,f922(x103337,f922(x103336,a910))),x103335),x103334),x103333),x103332))
% 178.51/178.25 [10334]P106(f326(f326(f328(x103341),f785(x103342,x103343,x103344,x103345,x103346,x103347,x103341)),x103347))+P106(f326(f326(f326(f326(f39(x103341,f922(x103343,f922(x103342,a910))),x103347),x103346),x103345),x103344))
% 178.51/178.25 [10335]P106(f326(f326(f328(x103351),f472(x103352,x103353,x103354,x103355,x103356,x103357,x103351)),x103355))+~P106(f326(f326(f326(f326(f40(x103351,f922(x103357,f922(x103356,a910))),x103355),x103354),x103353),x103352))
% 178.51/178.26 [10336]P106(f326(f326(f328(x103361),f786(x103362,x103363,x103364,x103365,x103366,x103367,x103361)),x103365))+~P106(f326(f326(f326(f326(f40(x103361,f922(x103367,f922(x103366,a910))),x103365),x103364),x103363),x103362))
% 178.51/178.26 [10371]P106(f326(f326(f326(x103711,f472(x103712,x103713,x103711,x103714,x103715,x103716,x103717)),x103713),x103712))+~P106(f326(f326(f326(f326(f40(x103717,f922(x103716,f922(x103715,a910))),x103714),x103711),x103713),x103712))
% 178.51/178.26 [10372]P106(f326(f326(f326(x103721,f786(x103722,x103723,x103721,x103724,x103725,x103726,x103727)),x103723),x103722))+~P106(f326(f326(f326(f326(f40(x103727,f922(x103726,f922(x103725,a910))),x103724),x103721),x103723),x103722))
% 178.51/178.26 [10389]~P106(f326(f326(f326(x103895,f430(x103897,x103896,x103895,x103894,x103893,x103892,x103891)),x103896),x103897))+P106(f326(f326(f326(f326(f39(x103891,f922(x103892,f922(x103893,a910))),x103894),x103895),x103896),x103897))
% 178.51/178.26 [10390]~P106(f326(f326(f326(x103905,f785(x103903,x103902,x103907,x103906,x103905,x103904,x103901)),x103906),x103907))+P106(f326(f326(f326(f326(f39(x103901,f922(x103902,f922(x103903,a910))),x103904),x103905),x103906),x103907))
% 178.51/178.26 [10408]~P106(f326(f326(f328(f921(x104081,x104083)),f326(f326(f251(x104081,x104083),x104086),x104087)),f326(f326(f288(x104081,x104082,x104083),x104084),x104085)))+P106(f326(f326(f252(x104081,x104082,x104083,f326(f326(f9(x104081,f922(f921(x104081,x104082),a910),f922(x104082,a910)),f326(f326(f10(f922(x104082,f922(f922(f921(x104081,x104082),a910),a910)),f922(f922(f921(x104081,x104082),a910),f922(x104082,a910)),x104081),f9(x104082,f922(f921(x104081,x104082),a910),a910)),f326(f326(f10(f922(x104082,f921(x104081,x104082)),f922(x104082,f922(f922(f921(x104081,x104082),a910),a910)),x104081),f326(f10(f921(x104081,x104082),f922(f922(f921(x104081,x104082),a910),a910),x104082),f328(f921(x104081,x104082)))),f251(x104081,x104082)))),x104084),f326(f326(f9(x104082,f922(f921(x104082,x104083),a910),f922(x104083,a910)),f326(f326(f10(f922(x104083,f922(f922(f921(x104082,x104083),a910),a910)),f922(f922(f921(x104082,x104083),a910),f922(x104083,a910)),x104082),f9(x104083,f922(f921(x104082,x104083),a910),a910)),f326(f326(f10(f922(x104083,f921(x104082,x104083)),f922(x104083,f922(f922(f921(x104082,x104083),a910),a910)),x104082),f326(f10(f921(x104082,x104083),f922(f922(f921(x104082,x104083),a910),a910),x104083),f328(f921(x104082,x104083)))),f251(x104082,x104083)))),x104085)),x104086),x104087))
% 178.51/178.26 [10418]P106(f326(f326(f328(f921(x104181,x104182)),f326(f326(f251(x104181,x104182),x104183),x104184)),f326(f326(f288(x104181,x104185,x104182),x104186),x104187)))+~P106(f326(f326(f252(x104181,x104185,x104182,f326(f326(f9(x104181,f922(f921(x104181,x104185),a910),f922(x104185,a910)),f326(f326(f10(f922(x104185,f922(f922(f921(x104181,x104185),a910),a910)),f922(f922(f921(x104181,x104185),a910),f922(x104185,a910)),x104181),f9(x104185,f922(f921(x104181,x104185),a910),a910)),f326(f326(f10(f922(x104185,f921(x104181,x104185)),f922(x104185,f922(f922(f921(x104181,x104185),a910),a910)),x104181),f326(f10(f921(x104181,x104185),f922(f922(f921(x104181,x104185),a910),a910),x104185),f328(f921(x104181,x104185)))),f251(x104181,x104185)))),x104186),f326(f326(f9(x104185,f922(f921(x104185,x104182),a910),f922(x104182,a910)),f326(f326(f10(f922(x104182,f922(f922(f921(x104185,x104182),a910),a910)),f922(f922(f921(x104185,x104182),a910),f922(x104182,a910)),x104185),f9(x104182,f922(f921(x104185,x104182),a910),a910)),f326(f326(f10(f922(x104182,f921(x104185,x104182)),f922(x104182,f922(f922(f921(x104185,x104182),a910),a910)),x104185),f326(f10(f921(x104185,x104182),f922(f922(f921(x104185,x104182),a910),a910),x104182),f328(f921(x104185,x104182)))),f251(x104185,x104182)))),x104187)),x104183),x104184))
% 178.51/178.26 [10345]~P145(x103452)+E(f326(f326(f8(x103451,x103452),f326(f326(f9(x103451,f922(x103453,a910),x103452),f326(f326(f10(f922(x103453,x103452),f922(f922(x103453,a910),x103452),x103451),f8(x103453,x103452)),f326(f326(f9(x103451,f922(x103453,x103452),f922(x103453,x103452)),f326(f326(f10(f922(x103452,x103452),f922(f922(x103453,x103452),f922(x103453,x103452)),x103451),f10(x103452,x103452,x103453)),f326(f326(f10(x103452,f922(x103452,x103452),x103451),f80(x103452)),x103454))),x103455))),x103456)),x103457),f326(f326(f80(x103452),f326(f326(f8(x103451,x103452),x103454),x103457)),f326(f326(f8(x103453,x103452),x103455),x103456)))
% 178.51/178.26 [9429]~P18(x94297,x94291,x94293,x94298)+E(f326(f72(x94291,x94291,x94292,f326(x94293,x94294)),f326(f72(x94291,x94291,x94292,f326(x94293,x94295)),x94296)),f326(f72(x94291,x94291,x94292,f326(x94293,x94295)),f326(f72(x94291,x94291,x94292,f326(x94293,x94294)),x94296)))
% 178.51/178.26 [10413]E(f326(f326(f251(x104131,x104132),f326(x104133,f558(x104134,x104135,x104133,x104136,x104137,x104138,x104132,x104131))),f326(x104135,f559(x104134,x104135,x104133,x104136,x104137,x104138,x104132,x104131))),x104138)+~P106(f326(f326(f328(f921(x104131,x104132)),x104138),f326(f309(f921(x104137,x104136),f921(x104131,x104132),f257(x104137,x104131,x104136,x104132,x104133,x104135)),x104134)))
% 178.51/178.26 [10431]~P106(f326(f326(f328(f921(x104318,x104317)),x104316),f326(f309(f921(x104311,x104312),f921(x104318,x104317),f257(x104311,x104318,x104312,x104317,x104315,x104314)),x104313)))+P106(f326(f326(f328(f921(x104311,x104312)),f326(f326(f251(x104311,x104312),f558(x104313,x104314,x104315,x104312,x104311,x104316,x104317,x104318)),f559(x104313,x104314,x104315,x104312,x104311,x104316,x104317,x104318))),x104313))
% 178.51/178.26 [9880]P106(f326(f326(f328(f921(f921(x98801,x98802),f921(x98801,x98802))),f326(f326(f251(f921(x98801,x98802),f921(x98801,x98802)),f326(f326(f251(x98801,x98802),x98803),x98804)),f326(f326(f251(x98801,x98802),x98805),x98806))),f319(x98801,x98802,x98807,x98808)))+~P106(f326(f326(f328(f921(x98801,x98801)),f326(f326(f251(x98801,x98801),x98803),x98805)),x98807))
% 178.51/178.26 [10402]E(f326(f142(x104021,x104022,f326(f9(x104022,x104021,x104021),x104023),f326(x104024,x104025)),x104026),f326(x104024,f326(f142(x104027,x104022,f326(f9(x104022,x104027,x104027),x104028),x104025),x104026)))+P106(f326(f326(f328(x104022),f733(x104025,x104028,x104024,x104023,x104027,x104021,x104026,x104022)),f326(f172(x104022),x104026)))
% 178.51/178.26 [10421]~E(f326(f72(x104211,x104211,x104217,f326(x104213,f733(x104215,x104218,x104214,x104213,x104217,x104211,x104216,x104212))),x104214),f326(f72(x104217,x104211,x104217,x104214),f326(x104218,f733(x104215,x104218,x104214,x104213,x104217,x104211,x104216,x104212))))+E(f326(f142(x104211,x104212,f326(f9(x104212,x104211,x104211),x104213),f326(x104214,x104215)),x104216),f326(x104214,f326(f142(x104217,x104212,f326(f9(x104212,x104217,x104217),x104218),x104215),x104216)))
% 178.51/178.26 [8648]E(f326(x86481,f326(x86482,x86483)),f326(x86484,f326(x86485,x86483)))+~E(f326(f72(x86486,x86487,x86488,x86481),x86482),f326(f72(x86489,x86487,x86488,x86484),x86485))
% 178.51/178.26 [10251]P106(f326(f326(f328(f921(x102511,x102512)),f326(f326(f251(x102511,x102512),f326(x102513,x102514)),f326(x102515,x102516))),f326(f309(f921(x102517,x102518),f921(x102511,x102512),f257(x102517,x102511,x102518,x102512,x102513,x102515)),x102519)))+~P106(f326(f326(f328(f921(x102517,x102518)),f326(f326(f251(x102517,x102518),x102514),x102516)),x102519))
% 178.51/178.26 [8942]~E(f326(x89424,f326(x89425,x89426)),f326(x89429,f326(x894210,x894211)))+E(f326(f326(f72(x89421,x89422,x89423,x89424),x89425),x89426),f326(f326(f72(x89427,x89422,x89428,x89429),x894210),x894211))
% 178.51/178.26 [4755]~P109(x47551)+~P102(x47551)+E(f101(x47551),f232(x47551))
% 178.51/178.26 [4756]~P109(x47561)+~P101(x47561)+E(f110(x47561),f233(x47561))
% 178.51/178.26 [5005]~P119(x50051)+~P95(x50051)+E(f326(f75(x50051),f326(f103(x50051),a97)),f77(x50051))
% 178.51/178.26 [5299]E(x52991,f2(a1))+E(f81(a1,x52991),f326(f78(a1),f77(a1)))+P106(f326(f326(f235(a1),f2(a1)),x52991))
% 178.51/178.26 [5508]E(x55081,f2(a1))+E(f81(a1,x55081),f77(a1))+~P106(f326(f326(f235(a1),f2(a1)),x55081))
% 178.51/178.26 [7533]~P40(x75331)+P106(f326(f61(a1),x75331))+~P106(f326(f61(a914),f326(f309(a1,a914,a104),x75331)))
% 178.51/178.26 [9842]E(x98421,f188(f922(f921(a914,a914),a910)))+~P106(f326(f61(f921(a914,a914)),x98421))+P106(f326(f326(f328(f921(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910))),f326(f326(f251(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910)),f188(f922(f921(a914,a914),a910))),x98421)),a34))
% 178.51/178.26 [10004]E(x100041,f2(a914))+E(x100041,f326(a112,f2(a914)))+~P106(f326(f326(f235(a914),x100041),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 178.51/178.26 [10283]E(x102831,f2(a99))+E(f326(f326(f79(a1),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(a24,f326(f326(f36(a99),x102831),f326(f103(a99),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))),f77(a1)),f326(a24,x102831))+E(f45(a99,x102831,f326(f103(a99),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f2(a99))
% 178.51/178.26 [10131]E(x101311,f2(a99))+~E(f45(a99,x101311,f326(f103(a99),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f2(a99))+E(f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(a24,f326(f326(f36(a99),x101311),f326(f103(a99),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f326(a24,x101311))
% 178.51/178.26 [4836]~P57(x48361,x48362)+P44(x48361,x48362)+~P45(a910)
% 178.51/178.26 [4765]~P144(x47651)+P27(x47651,x47652)+~E(x47652,f2(x47651))
% 178.51/178.26 [4766]~P109(x47661)+P12(x47661,x47662)+~E(x47662,f113(x47661))
% 178.51/178.26 [4775]~P119(x47751)+~E(x47752,f2(x47751))+E(f81(x47751,x47752),f2(x47751))
% 178.51/178.26 [4776]~P91(x47761)+~E(x47762,f2(x47761))+E(f81(x47761,x47762),f2(x47761))
% 178.51/178.26 [4784]~P144(x47842)+~P27(x47842,x47841)+E(x47841,f2(x47842))
% 178.51/178.26 [4829]~P119(x48292)+~E(f81(x48292,x48291),f2(x48292))+E(x48291,f2(x48292))
% 178.51/178.26 [4843]~P3(x48432)+~P3(x48431)+P3(f922(x48431,x48432))
% 178.51/178.26 [4844]~P3(x48442)+~P3(x48441)+P3(f920(x48441,x48442))
% 178.51/178.26 [4845]~P3(x48452)+~P3(x48451)+P3(f921(x48451,x48452))
% 178.51/178.26 [4846]~P5(x48462)+~P5(x48461)+P5(f194(x48461,x48462))
% 178.51/178.26 [4847]~P62(x48472)+~P62(x48471)+P62(f922(x48471,x48472))
% 178.51/178.26 [4848]~P62(x48482)+~P62(x48481)+P62(f920(x48481,x48482))
% 178.51/178.26 [4849]~P62(x48492)+~P62(x48491)+P62(f921(x48491,x48492))
% 178.51/178.26 [4850]~P104(x48502)+~P104(x48501)+P104(f921(x48501,x48502))
% 178.51/178.26 [4977]~P109(x49771)+~P12(x49771,x49772)+P12(x49771,f152(x49771,x49772))
% 178.51/178.26 [5225]~P5(x52252)+~P5(x52251)+P5(f45(a1,x52251,x52252))
% 178.51/178.26 [4786]~P76(x47861)+~E(x47862,f2(x47861))+E(f326(f78(x47861),x47862),x47862)
% 178.51/178.26 [4801]~P141(x48011)+~E(x48012,f2(a1))+E(f326(f102(x48011),x48012),f2(x48011))
% 178.51/178.26 [4802]~P93(x48021)+~E(x48022,f2(a1))+E(f326(f102(x48021),x48022),f2(x48021))
% 178.51/178.26 [4826]~P74(x48261)+~E(f2(x48261),x48262)+E(f326(f78(x48261),x48262),f2(x48261))
% 178.51/178.26 [4827]~P87(x48271)+~E(x48272,f2(x48271))+E(f326(f75(x48271),x48272),f2(x48271))
% 178.51/178.26 [4828]~P74(x48281)+~E(x48282,f2(x48281))+E(f326(f78(x48281),x48282),f2(x48281))
% 178.51/178.26 [4852]~P76(x48522)+E(x48521,f2(x48522))+~E(f326(f78(x48522),x48521),x48521)
% 178.51/178.26 [4858]E(x48581,f326(a104,x48582))+~E(x48581,f2(a914))+~E(x48582,f326(f100(a1),x48581))
% 178.51/178.26 [4859]E(f326(a104,x48591),x48592)+~E(x48592,f2(a914))+~E(x48591,f326(f100(a1),x48592))
% 178.51/178.26 [4863]~P93(x48632)+E(x48631,f2(a1))+~E(f326(f102(x48632),x48631),f2(x48632))
% 178.51/178.26 [4867]~P87(x48672)+E(x48671,f2(x48672))+~E(f326(f75(x48672),x48671),f2(x48672))
% 178.51/178.26 [4868]~P74(x48682)+E(x48681,f2(x48682))+~E(f326(f78(x48682),x48681),f2(x48682))
% 178.51/178.26 [4869]~P74(x48691)+E(f2(x48691),x48692)+~E(f326(f78(x48691),x48692),f2(x48691))
% 178.51/178.26 [5052]~P109(x50521)+~P12(x50521,x50522)+P12(x50521,f326(f171(x50521),x50522))
% 178.51/178.26 [5079]~P106(x50792)+~P106(x50791)+P106(f326(f326(a325,x50791),x50792))
% 178.51/178.26 [5117]~E(f77(a914),f2(a914))+E(f326(f35(x51171),x51172),f2(a914))+~P106(f326(f61(x51171),x51172))
% 178.51/178.26 [5153]~P116(x51531)+~P145(x51531)+E(f326(f326(f243(x51531),f2(x51531)),f326(a112,x51532)),f2(x51531))
% 178.51/178.26 [5193]~P109(x51931)+P12(x51931,f139(x51931,x51932))+~P106(f326(f61(x51931),x51932))
% 178.51/178.26 [5194]~P109(x51941)+P12(x51941,f725(x51942,x51941))+~P106(f326(f61(x51941),x51942))
% 178.51/178.26 [5217]~P109(x52171)+E(f326(f172(x52171),f139(x52171,x52172)),x52172)+~P106(f326(f61(x52171),x52172))
% 178.51/178.26 [5218]~P109(x52181)+E(f326(f172(x52181),f725(x52182,x52181)),x52182)+~P106(f326(f61(x52181),x52182))
% 178.51/178.26 [5247]P106(x52471)+P106(x52472)+~P106(f326(f326(a324,x52472),x52471))
% 178.51/178.26 [5260]E(x52601,f188(f922(x52602,a910)))+~E(f326(f35(x52602),x52601),f2(a914))+~P106(f326(f61(x52602),x52601))
% 178.51/178.26 [5265]P106(x52651)+~P106(x52652)+~P106(f326(f326(a329,x52652),x52651))
% 178.51/178.26 [5317]~P73(x53171)+E(f326(f75(x53171),x53172),x53172)+P106(f326(f326(f235(x53171),x53172),f2(x53171)))
% 178.51/178.26 [5377]~P62(x53772)+~P106(f326(f56(x53772),x53771))+P106(f326(x53771,f726(x53771,x53772)))
% 178.51/178.26 [5378]~P62(x53782)+~P106(f326(f56(x53782),x53781))+P106(f326(x53781,f734(x53781,x53782)))
% 178.51/178.26 [5420]E(x54201,f113(x54202))+P106(f326(f137(x54202),f114(x54202,x54201)))+~P106(f326(f137(x54202),x54201))
% 178.51/178.26 [5425]~P109(x54251)+~P106(f326(f61(x54251),x54252))+P106(f326(f137(x54251),f139(x54251,x54252)))
% 178.51/178.26 [5426]~P109(x54261)+~P106(f326(f61(x54261),x54262))+P106(f326(f137(x54261),f725(x54262,x54261)))
% 178.51/178.26 [5431]~P141(x54311)+E(f326(f100(x54311),f326(a104,x54312)),f326(f102(x54311),x54312))+P106(f326(f326(f235(a1),x54312),f2(a1)))
% 178.51/178.26 [5458]P6(x54582,x54581)+E(f326(x54581,f507(x54581)),f326(x54581,f511(x54581)))+P106(f326(f326(x54581,f507(x54581)),f511(x54581)))
% 178.51/178.26 [5470]E(f326(f100(a1),f372(x54701,x54702)),x54701)+P106(f326(x54702,f326(a104,x54701)))+~P106(f326(x54702,f2(a914)))
% 178.51/178.26 [5482]~P62(x54821)+~P106(f326(x54822,f739(x54822,x54821)))+P106(f326(f57(x54821),x54822))
% 178.51/178.26 [5483]~P62(x54831)+~P106(f326(x54832,f749(x54832,x54831)))+P106(f326(f57(x54831),x54832))
% 178.51/178.26 [5518]~P119(x55181)+~E(f81(x55181,x55182),f326(f78(x55181),f77(x55181)))+P106(f326(f326(f235(x55181),x55182),f2(x55181)))
% 178.51/178.26 [5592]~E(x55922,f2(a1))+E(f215(x55921,x55922),f326(f326(f251(a1,a1),f2(a1)),f77(a1)))+P106(f326(f326(f235(a1),x55922),f2(a1)))
% 178.51/178.26 [5593]~E(x55931,f2(a1))+E(f215(x55931,x55932),f326(f326(f251(a1,a1),f2(a1)),f77(a1)))+P106(f326(f326(f235(a1),x55932),f2(a1)))
% 178.51/178.26 [5645]E(f326(f100(a1),f372(x56451,x56452)),x56451)+P106(f326(x56452,f326(a104,x56451)))+P106(f326(f326(f235(a1),x56451),f2(a1)))
% 178.51/178.26 [5712]~P119(x57121)+E(f81(x57121,x57122),f326(f78(x57121),f77(x57121)))+~P106(f326(f326(f235(x57121),x57122),f2(x57121)))
% 178.51/178.26 [5713]~P87(x57131)+E(f326(f75(x57131),x57132),f326(f78(x57131),x57132))+~P106(f326(f326(f234(x57131),x57132),f2(x57131)))
% 178.51/178.26 [5714]~P87(x57141)+E(f326(f75(x57141),x57142),f326(f78(x57141),x57142))+~P106(f326(f326(f235(x57141),x57142),f2(x57141)))
% 178.51/178.26 [5715]~P73(x57151)+E(f326(f75(x57151),x57152),f326(f78(x57151),x57152))+~P106(f326(f326(f235(x57151),x57152),f2(x57151)))
% 178.51/178.26 [5815]~P106(f326(x58151,f372(x58152,x58151)))+P106(f326(x58151,f326(a104,x58152)))+~P106(f326(x58151,f2(a914)))
% 178.51/178.26 [5822]E(x58221,f2(a914))+E(f326(a112,f818(x58222,x58221)),x58221)+~P106(f326(f326(f235(a914),x58221),f326(a112,x58222)))
% 178.51/178.26 [5826]P6(x58261,x58262)+~E(f326(x58262,f507(x58262)),f326(x58262,f511(x58262)))+~P106(f326(f326(x58262,f507(x58262)),f511(x58262)))
% 178.51/178.26 [5844]~P109(x58441)+P12(x58441,x58442)+P106(f326(f326(f234(a914),f708(x58442,x58441)),f709(x58442,x58441)))
% 178.51/178.26 [5845]~P109(x58451)+P12(x58451,x58452)+P106(f326(f326(f234(a914),f716(x58452,x58451)),f720(x58452,x58451)))
% 178.51/178.26 [5931]~P87(x59311)+~E(x59312,f2(x59311))+P106(f326(f326(f234(x59311),f326(f75(x59311),x59312)),f2(x59311)))
% 178.51/178.26 [6028]~P106(f326(x60281,f372(x60282,x60281)))+P106(f326(x60281,f326(a104,x60282)))+P106(f326(f326(f235(a1),x60282),f2(a1)))
% 178.51/178.26 [6053]~P106(f326(x60531,f326(a104,x60532)))+P106(f326(x60531,f2(a914)))+~P106(f326(f326(f235(a1),x60532),f2(a1)))
% 178.51/178.26 [6397]~P119(x63971)+~P106(f326(f326(f235(x63971),x63972),f2(x63971)))+P106(f326(f326(f235(x63971),f81(x63971,x63972)),f2(x63971)))
% 178.51/178.26 [6513]~P119(x65131)+P106(f326(f326(f234(x65131),f326(f102(x65131),x65132)),f2(x65131)))+~P106(f326(f326(f234(a1),x65132),f2(a1)))
% 178.51/178.26 [6514]~P119(x65141)+P106(f326(f326(f235(x65141),f326(f102(x65141),x65142)),f2(x65141)))+~P106(f326(f326(f235(a1),x65142),f2(a1)))
% 178.51/178.26 [6523]~P87(x65232)+E(x65231,f2(x65232))+~P106(f326(f326(f234(x65232),f326(f75(x65232),x65231)),f2(x65232)))
% 178.51/178.26 [6601]~P141(x66011)+~P106(f326(f326(f328(x66011),x66012),f109(x66011)))+P106(f326(f326(f328(x66011),f326(f78(x66011),x66012)),f109(x66011)))
% 178.51/178.26 [6633]~P119(x66331)+~P106(f326(f326(f235(x66331),f81(x66331,x66332)),f2(x66331)))+P106(f326(f326(f235(x66331),x66332),f2(x66331)))
% 178.51/178.26 [6806]~P119(x68062)+~P106(f326(f326(f234(x68062),f326(f102(x68062),x68061)),f2(x68062)))+P106(f326(f326(f234(a1),x68061),f2(a1)))
% 178.51/178.26 [6807]~P119(x68072)+~P106(f326(f326(f235(x68072),f326(f102(x68072),x68071)),f2(x68072)))+P106(f326(f326(f235(a1),x68071),f2(a1)))
% 178.51/178.26 [7310]~P76(x73101)+~P106(f326(f326(f234(x73101),x73102),f2(x73101)))+P106(f326(f326(f234(x73101),f326(f326(f79(x73101),x73102),x73102)),f2(x73101)))
% 178.51/178.26 [7312]~P119(x73121)+~P106(f326(f326(f235(x73121),x73122),f2(x73121)))+P106(f326(f326(f235(x73121),f326(f326(f79(x73121),x73122),x73122)),f2(x73121)))
% 178.51/178.26 [7313]~P76(x73131)+~P106(f326(f326(f235(x73131),x73132),f2(x73131)))+P106(f326(f326(f235(x73131),f326(f326(f79(x73131),x73132),x73132)),f2(x73131)))
% 178.51/178.26 [7875]~P76(x78751)+~P106(f326(f326(f234(x78751),f326(f326(f79(x78751),x78752),x78752)),f2(x78751)))+P106(f326(f326(f234(x78751),x78752),f2(x78751)))
% 178.51/178.26 [7876]~P119(x78761)+~P106(f326(f326(f235(x78761),f326(f326(f79(x78761),x78762),x78762)),f2(x78761)))+P106(f326(f326(f235(x78761),x78762),f2(x78761)))
% 178.51/178.26 [7877]~P76(x78771)+~P106(f326(f326(f235(x78771),f326(f326(f79(x78771),x78772),x78772)),f2(x78771)))+P106(f326(f326(f235(x78771),x78772),f2(x78771)))
% 178.51/178.26 [4904]~E(x49042,f77(a914))+~E(x49041,f77(a914))+E(f326(f326(f80(a914),x49041),x49042),f77(a914))
% 178.51/178.26 [4905]~E(x49052,f77(a1))+~E(x49051,f77(a1))+E(f326(f326(f80(a1),x49051),x49052),f77(a1))
% 178.51/178.26 [4906]~E(x49062,f2(a914))+~E(x49061,f2(a914))+E(f326(f326(f79(a914),x49061),x49062),f2(a914))
% 178.51/178.26 [4961]~P122(x49612)+E(x49611,f2(x49612))+E(f326(f326(f289(x49612),x49611),x49611),f77(x49612))
% 178.51/178.26 [4962]~P60(x49622)+E(x49621,f2(x49622))+E(f326(f326(f36(x49622),x49621),x49621),f77(x49622))
% 178.51/178.26 [4963]~P123(x49632)+E(x49631,f2(x49632))+E(f326(f326(f289(x49632),x49631),x49631),f77(x49632))
% 178.51/178.26 [4983]~P142(x49831)+~E(x49832,f77(x49831))+E(f326(f326(f80(x49831),x49832),x49832),f77(x49831))
% 178.51/178.26 [4984]~P76(x49841)+~E(x49842,f2(x49841))+E(f326(f326(f79(x49841),x49842),x49842),f2(x49841))
% 178.51/178.26 [4985]~P123(x49851)+~E(x49852,f2(x49851))+E(f326(f326(f289(x49851),x49852),x49852),f2(x49851))
% 178.51/178.26 [5030]~E(x50302,f2(a914))+~E(x50301,f2(a914))+E(f326(f78(a1),f326(f100(a1),x50301)),f326(f100(a1),x50302))
% 178.51/178.26 [5049]E(x50491,f77(a914))+E(x50492,f2(a914))+~E(f326(f326(f80(a914),x50492),x50491),x50492)
% 178.51/178.26 [5061]E(x50611,f2(a914))+E(x50612,f2(a914))+~E(f326(f326(f80(a914),x50612),x50611),f2(a914))
% 178.51/178.26 [5088]~E(x50882,f2(a914))+~E(x50881,f326(a112,f2(a914)))+E(f326(f326(f79(a914),x50881),x50882),f326(a112,f2(a914)))
% 178.51/178.26 [5089]~E(x50891,f2(a914))+~E(x50892,f326(a112,f2(a914)))+E(f326(f326(f79(a914),x50891),x50892),f326(a112,f2(a914)))
% 178.51/178.26 [5096]E(x50961,f77(a1))+E(x50962,f326(f103(a1),a97))+~E(f326(f326(f80(a1),x50961),x50962),f77(a1))
% 178.51/178.26 [5097]E(x50971,f77(a1))+E(x50972,f326(f103(a1),a97))+~E(f326(f326(f80(a1),x50972),x50971),f77(a1))
% 178.51/178.26 [5098]E(x50981,f77(a1))+E(x50981,f326(f103(a1),a97))+~E(f326(f326(f80(a1),x50982),x50981),f77(a1))
% 178.51/178.26 [5100]E(x51001,f77(a1))+E(x51001,f326(f103(a1),a97))+~E(f326(f326(f80(a1),x51001),x51002),f77(a1))
% 178.51/178.26 [5125]~P76(x51252)+E(x51251,f2(x51252))+~E(f326(f326(f79(x51252),x51251),x51251),f2(x51252))
% 178.51/178.26 [5131]~E(x51311,f326(f103(a1),a97))+~E(x51312,f326(f103(a1),a97))+E(f326(f326(f80(a1),x51311),x51312),f77(a1))
% 178.51/178.26 [5142]E(x51421,f2(a914))+E(x51422,f2(a914))+~E(f326(f326(f79(a914),x51422),x51421),f326(a112,f2(a914)))
% 178.51/178.26 [5152]~P63(x51521)+~P95(x51521)+E(f326(f326(f289(x51521),x51522),f326(f103(x51521),a82)),f2(x51521))
% 178.51/178.26 [5159]~P142(x51591)+~E(x51592,f326(f78(x51591),f77(x51591)))+E(f326(f326(f80(x51591),x51592),x51592),f77(x51591))
% 178.51/178.26 [5164]~P5(x51642)+~P5(x51641)+P5(f326(f326(f80(a1),x51641),x51642))
% 178.51/178.26 [5165]~P5(x51652)+~P5(x51651)+P5(f326(f326(f79(a1),x51651),x51652))
% 178.51/178.26 [5166]~P5(x51662)+~P5(x51661)+P5(f326(f326(f36(a1),x51661),x51662))
% 178.51/178.26 [5168]~E(x51682,f2(a1))+E(x51681,f2(a1))+E(f46(x51681,x51682),f326(f326(f251(a1,a1),f2(a1)),x51681))
% 178.51/178.26 [5191]~E(x51912,f326(a112,f2(a914)))+~E(x51911,f326(a112,f2(a914)))+E(f326(f326(f80(a914),x51911),x51912),f326(a112,f2(a914)))
% 178.51/178.26 [5208]E(x52081,f2(a914))+E(x52082,f326(a112,f2(a914)))+~E(f326(f326(f243(a914),x52082),x52081),f326(a112,f2(a914)))
% 178.51/178.26 [5209]E(x52091,f2(a914))+E(x52091,f326(a112,f2(a914)))+~E(f326(f326(f79(a914),x52092),x52091),f326(a112,f2(a914)))
% 178.51/178.26 [5210]E(x52101,f2(a914))+E(x52101,f326(a112,f2(a914)))+~E(f326(f326(f79(a914),x52101),x52102),f326(a112,f2(a914)))
% 178.51/178.26 [5219]~P63(x52191)+~P95(x52191)+E(f326(f326(f289(x52191),x52192),f326(f103(x52191),a97)),f326(f78(x52191),x52192))
% 178.51/178.26 [5239]E(x52391,f326(a104,x52392))+~E(x52391,f2(a914))+P106(f326(f326(f234(a1),f2(a1)),x52392))
% 178.51/178.26 [5240]E(f326(a104,x52401),x52402)+~E(x52402,f2(a914))+P106(f326(f326(f234(a1),f2(a1)),x52401))
% 178.51/178.26 [5256]E(x52561,f326(a112,f2(a914)))+E(x52562,f326(a112,f2(a914)))+~E(f326(f326(f79(a914),x52561),x52562),f326(a112,f2(a914)))
% 178.51/178.26 [5267]~E(x52671,f326(a104,x52672))+E(x52671,f2(a914))+P106(f326(f326(f234(a1),f2(a1)),x52672))
% 178.51/178.26 [5268]~E(f326(a104,x52682),x52681)+E(x52681,f2(a914))+P106(f326(f326(f234(a1),f2(a1)),x52682))
% 178.51/178.26 [5291]~P78(x52911)+E(f326(f63(x52911,f110(x52911)),x52912),f12(x52911,x52912))+~P106(f326(f61(x52911),x52912))
% 178.51/178.26 [5292]~P78(x52921)+E(f326(f63(x52921,f101(x52921)),x52922),f13(x52921,x52922))+~P106(f326(f61(x52921),x52922))
% 178.51/178.26 [5293]~P109(x52931)+E(f326(f63(x52931,f232(x52931)),x52932),f16(x52931,x52932))+~P106(f326(f61(x52931),x52932))
% 178.51/178.26 [5294]~P109(x52941)+E(f326(f63(x52941,f233(x52941)),x52942),f17(x52941,x52942))+~P106(f326(f61(x52941),x52942))
% 178.51/178.26 [5372]E(x53721,x53722)+~E(f326(f326(f3(a914),x53722),x53721),f2(a914))+~E(f326(f326(f3(a914),x53721),x53722),f2(a914))
% 178.51/178.26 [5390]P5(x53901)+~P40(x53902)+~P106(f326(f326(f328(a1),x53901),x53902))
% 178.51/178.26 [5421]~P119(x54211)+~E(f81(x54211,x54212),f77(x54211))+P106(f326(f326(f235(x54211),f2(x54211)),x54212))
% 178.51/178.26 [5432]~P95(x54321)+E(f326(f100(x54321),f326(f103(a914),x54322)),f326(f103(x54321),x54322))+P106(f326(a193,f326(f103(a1),x54322)))
% 178.51/178.26 [5437]~P44(x54371,x54372)+P45(a910)+P106(f326(f61(f921(x54371,x54371)),x54372))
% 178.51/178.26 [5510]~P109(x55101)+E(f326(f63(x55101,f232(x55101)),x55102),f14(x55101,f232(x55101),x55102))+~P106(f326(f61(x55101),x55102))
% 178.51/178.26 [5511]~P109(x55111)+E(f326(f63(x55111,f233(x55111)),x55112),f15(x55111,f233(x55111),x55112))+~P106(f326(f61(x55111),x55112))
% 178.51/178.26 [5525]E(x55251,x55252)+P106(f326(f326(f235(a914),x55252),x55251))+P106(f326(f326(f235(a914),x55251),x55252))
% 178.51/178.26 [5526]E(x55261,x55262)+P106(f326(f326(f235(a1),x55262),x55261))+P106(f326(f326(f235(a1),x55261),x55262))
% 178.51/178.26 [5579]~P95(x55791)+E(f326(f100(x55791),f326(f103(a914),x55792)),f2(x55791))+~P106(f326(a193,f326(f103(a1),x55792)))
% 178.51/178.26 [5582]~E(x55822,f326(a104,x55821))+E(x55821,f326(f100(a1),x55822))+~P106(f326(f326(f234(a1),f2(a1)),x55821))
% 178.51/178.26 [5583]~E(f326(a104,x55831),x55832)+E(x55831,f326(f100(a1),x55832))+~P106(f326(f326(f234(a1),f2(a1)),x55831))
% 178.51/178.26 [5584]~E(x55841,f326(a104,x55842))+E(f326(f100(a1),x55841),x55842)+~P106(f326(f326(f234(a1),f2(a1)),x55842))
% 178.51/178.26 [5594]E(x55941,f326(a104,x55942))+~E(x55942,f326(f100(a1),x55941))+~P106(f326(f326(f234(a1),f2(a1)),x55942))
% 178.51/178.26 [5595]E(f326(a104,x55951),x55952)+~E(x55951,f326(f100(a1),x55952))+~P106(f326(f326(f234(a1),f2(a1)),x55951))
% 178.51/178.26 [5636]~P87(x56362)+E(x56361,f2(x56362))+P106(f326(f326(f235(x56362),f2(x56362)),f326(f75(x56362),x56361)))
% 178.51/178.26 [5701]~P119(x57011)+E(f81(x57011,x57012),f77(x57011))+~P106(f326(f326(f235(x57011),f2(x57011)),x57012))
% 178.51/178.26 [5705]~P95(x57051)+E(f326(f100(x57051),f326(f103(a914),x57052)),f2(x57051))+P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x57052)))
% 178.51/178.26 [5716]~P87(x57161)+E(f326(f75(x57161),x57162),x57162)+~P106(f326(f326(f234(x57161),f2(x57161)),x57162))
% 178.51/178.26 [5717]~P87(x57171)+E(f326(f75(x57171),x57172),x57172)+~P106(f326(f326(f235(x57171),f2(x57171)),x57172))
% 178.51/178.26 [5726]E(x57261,f2(a914))+~E(f139(a914,f326(f301(a914,x57262),x57261)),f113(a914))+P106(f326(f326(f234(a914),x57261),x57262))
% 178.51/178.26 [5737]~P70(x57371)+E(f326(f326(f8(x57371,x57371),f7(x57371)),f326(f172(x57371),x57372)),f326(f165(x57371),x57372))+~P106(f326(f137(x57371),x57372))
% 178.51/178.26 [5740]~P141(x57401)+E(f326(f100(x57401),f326(a104,x57402)),f326(f102(x57401),x57402))+~P106(f326(f326(f234(a1),f2(a1)),x57402))
% 178.51/178.26 [5767]E(x57671,x57672)+P106(f326(f326(f235(a914),x57671),x57672))+~P106(f326(f326(f234(a914),x57671),x57672))
% 178.51/178.26 [5768]E(x57681,x57682)+P106(f326(f326(f235(a1),x57681),x57682))+~P106(f326(f326(f234(a1),x57681),x57682))
% 178.51/178.26 [5771]E(x57711,f77(a1))+~E(f326(f326(f80(a1),x57712),x57711),f77(a1))+~P106(f326(f326(f235(a1),f2(a1)),x57712))
% 178.51/178.26 [5772]E(x57721,f77(a1))+~E(f326(f326(f80(a1),x57721),x57722),f77(a1))+~P106(f326(f326(f235(a1),f2(a1)),x57721))
% 178.51/178.26 [5812]~P40(x58122)+P106(f326(f326(f234(a1),f2(a1)),x58121))+~P106(f326(f326(f328(a1),x58121),x58122))
% 178.51/178.26 [5831]~P57(x58311,x58312)+P37(x58311,x58312)+~P106(f326(f61(f921(x58311,x58311)),x58312))
% 178.51/178.26 [5833]~P57(x58331,x58332)+P44(x58331,x58332)+~P106(f326(f61(f921(x58331,x58331)),x58332))
% 178.51/178.26 [5875]E(x58751,f188(f922(x58752,a910)))+~P106(f326(f61(x58752),x58751))+P106(f326(f326(f235(a914),f2(a914)),f326(f35(x58752),x58751)))
% 178.51/178.26 [5902]~P106(f326(x59021,x59022))+P106(f326(x59021,f2(a914)))+P106(f326(f326(f235(a914),f890(x59022,x59021)),x59022))
% 178.51/178.26 [5925]E(x59251,f2(a914))+~E(f326(f165(a914),x59252),f2(a914))+~P106(f326(f326(f328(a914),x59251),f326(f172(a914),x59252)))
% 178.51/178.26 [5993]E(x59931,x59932)+~P106(f326(f326(f234(a914),x59932),x59931))+~P106(f326(f326(f234(a914),x59931),x59932))
% 178.51/178.26 [5994]E(x59941,x59942)+~P106(f326(f326(f234(a1),x59942),x59941))+~P106(f326(f326(f234(a1),x59941),x59942))
% 178.51/178.26 [6003]E(x60031,x60032)+~P106(f326(f326(f286(a914),x60032),x60031))+~P106(f326(f326(f286(a914),x60031),x60032))
% 178.51/178.26 [6005]E(f326(f35(x60051),x60052),f2(a914))+~P106(f326(f61(x60051),x60052))+P106(f326(f326(f328(x60051),f891(x60052,x60051)),x60052))
% 178.51/178.26 [6014]E(f50(x60141,x60142),f46(x60141,x60142))+P106(f326(f326(f234(a1),f2(a1)),x60141))+~P106(f326(f326(f235(a1),f2(a1)),x60142))
% 178.51/178.26 [6040]~P106(f326(x60401,f367(x60401)))+P106(f326(x60401,f326(a104,x60402)))+~P106(f326(f326(f234(a1),f2(a1)),x60402))
% 178.51/178.26 [6043]P106(f326(f326(f234(a914),x60431),f407(x60432)))+~P106(f326(f61(a914),x60432))+~P106(f326(f326(f328(a914),x60431),x60432))
% 178.51/178.26 [6044]P106(f326(f326(f235(a914),x60441),f381(x60442)))+~P106(f326(f61(a914),x60442))+~P106(f326(f326(f328(a914),x60441),x60442))
% 178.51/178.26 [6075]E(x60751,x60752)+~P106(f326(f326(f235(a914),x60751),f326(a112,x60752)))+P106(f326(f326(f235(a914),x60751),x60752))
% 178.51/178.26 [6107]E(x61071,f326(a112,x61072))+~P106(f326(f326(f234(a914),x61071),f326(a112,x61072)))+P106(f326(f326(f234(a914),x61071),x61072))
% 178.51/178.26 [6123]P106(f326(x61231,f368(x61231)))+~P106(f326(x61231,f326(a104,x61232)))+~P106(f326(f326(f234(a1),f2(a1)),x61232))
% 178.51/178.26 [6138]~P106(f326(x61381,x61382))+~P106(f326(f326(f234(a1),f2(a1)),x61382))+P106(f326(x61381,f326(f100(a1),f338(x61381))))
% 178.51/178.26 [6149]~P87(x61492)+~E(x61491,f2(x61492))+~P106(f326(f326(f235(x61492),f2(x61492)),f326(f75(x61492),x61491)))
% 178.51/178.26 [6173]~P57(x61731,x61732)+P37(x61731,f326(f285(x61731,x61731),x61732))+~P106(f326(f61(f921(x61731,x61731)),x61732))
% 178.51/178.26 [6181]~P95(x61811)+E(f326(f100(x61811),f326(f103(a914),x61812)),f326(f103(x61811),x61812))+~P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x61812)))
% 178.51/178.26 [6184]E(f326(a112,x61841),x61842)+~P106(f326(f326(f235(a914),x61841),x61842))+P106(f326(f326(f235(a914),f326(a112,x61841)),x61842))
% 178.51/178.26 [6200]E(f326(f326(f36(a1),x62001),x62002),f2(a1))+~P106(f326(f326(f234(a1),x62001),f2(a1)))+~P106(f326(f326(f235(a1),x62002),x62001))
% 178.51/178.26 [6211]E(f45(a1,x62111,x62112),x62111)+~P106(f326(f326(f234(a1),x62111),f2(a1)))+~P106(f326(f326(f235(a1),x62112),x62111))
% 178.51/178.26 [6225]E(f47(x62251,x62252),f46(x62251,x62252))+~P106(f326(f326(f234(a1),f2(a1)),x62251))+~P106(f326(f326(f234(a1),f2(a1)),x62252))
% 178.51/178.26 [6235]E(f326(f326(f36(a1),x62351),x62352),f2(a1))+~P106(f326(f326(f234(a1),f2(a1)),x62351))+~P106(f326(f326(f235(a1),x62351),x62352))
% 178.51/178.26 [6247]E(f45(a914,f326(f103(a914),x62471),f326(f103(a914),x62472)),f326(f103(a914),x62471))+P106(f326(a193,f326(f103(a1),x62471)))+~P106(f326(a193,f326(f103(a1),x62472)))
% 178.51/178.26 [6249]E(f45(a1,x62491,x62492),x62491)+~P106(f326(f326(f234(a1),f2(a1)),x62491))+~P106(f326(f326(f235(a1),x62491),x62492))
% 178.51/178.26 [6250]E(x62501,x62502)+~P106(f326(f326(f235(a914),x62501),f326(a112,x62502)))+~P106(f326(f326(f234(a914),x62502),x62501))
% 178.51/178.26 [6264]~P76(x62641)+~P106(f326(f326(f234(x62641),x62642),f2(x62641)))+P106(f326(f326(f234(x62641),x62642),f326(f78(x62641),x62642)))
% 178.51/178.26 [6265]~P119(x62651)+~P106(f326(f326(f235(x62651),x62652),f2(x62651)))+P106(f326(f326(f235(x62651),x62652),f326(f78(x62651),x62652)))
% 178.51/178.26 [6275]~P4(x62751)+E(f326(f326(f64(x62751,x62751,f110(x62751)),f188(x62751)),x62752),f37(x62751,x62752))+~P106(f326(f61(x62751),x62752))
% 178.51/178.26 [6276]~P4(x62761)+E(f326(f326(f64(x62761,x62761,f101(x62761)),f241(x62761)),x62762),f38(x62761,x62762))+~P106(f326(f61(x62761),x62762))
% 178.51/178.26 [6293]~P119(x62931)+~P106(f326(f326(f234(a1),f2(a1)),x62932))+P106(f326(f326(f234(x62931),f2(x62931)),f326(f102(x62931),x62932)))
% 178.51/178.26 [6294]~P125(x62941)+~P106(f326(f326(f235(a914),f2(a914)),x62942))+P106(f326(f326(f235(x62941),f2(x62941)),f326(f100(x62941),x62942)))
% 178.51/178.26 [6295]~P119(x62951)+~P106(f326(f326(f235(a1),f2(a1)),x62952))+P106(f326(f326(f235(x62951),f2(x62951)),f326(f102(x62951),x62952)))
% 178.51/178.26 [6298]~P5(x62982)+~P5(x62981)+E(f326(f309(a914,a1,f100(a1)),f302(a914,f326(a104,x62981),f326(a104,x62982))),f302(a1,x62981,x62982))
% 178.51/178.26 [6304]P106(f326(x63041,x63042))+~P106(f326(f326(f234(a1),f2(a1)),x63042))+~P106(f326(x63041,f326(f100(a1),f343(x63041))))
% 178.51/178.26 [6335]E(f326(f326(f79(a914),f326(f103(a914),x63351)),f326(f103(a914),x63352)),f326(f103(a914),x63351))+P106(f326(f326(f235(a1),x63351),a82))+~P106(f326(f326(f235(a1),x63352),a82))
% 178.51/178.26 [6339]~P119(x63391)+P106(f326(f326(f235(x63391),f2(x63391)),f81(x63391,x63392)))+~P106(f326(f326(f235(x63391),f2(x63391)),x63392))
% 178.51/178.26 [6352]~P80(x63521)+~P106(f326(f326(f234(x63521),x63522),f2(x63521)))+P106(f326(f326(f234(x63521),f2(x63521)),f326(f78(x63521),x63522)))
% 178.51/178.26 [6353]~P80(x63531)+~P106(f326(f326(f235(x63531),x63532),f2(x63531)))+P106(f326(f326(f235(x63531),f2(x63531)),f326(f78(x63531),x63532)))
% 178.51/178.26 [6356]E(x63561,f241(f922(x63562,a910)))+~E(f326(f35(x63562),x63561),f326(f35(x63562),f241(f922(x63562,a910))))+~P106(f326(f61(x63562),f241(f922(x63562,a910))))
% 178.51/178.26 [6382]~P106(f326(f326(f235(a914),f2(a914)),x63822))+~P106(f326(f326(f286(a914),x63821),x63822))+P106(f326(f326(f234(a914),x63821),x63822))
% 178.51/178.26 [6389]~P76(x63891)+P106(f326(f326(f234(x63891),x63892),f2(x63891)))+~P106(f326(f326(f234(x63891),x63892),f326(f78(x63891),x63892)))
% 178.51/178.26 [6390]~P119(x63901)+P106(f326(f326(f235(x63901),x63902),f2(x63901)))+~P106(f326(f326(f235(x63901),x63902),f326(f78(x63901),x63902)))
% 178.51/178.26 [6399]~P95(x63991)+P106(f326(f326(f328(x63991),f326(f103(x63991),x63992)),f186(x63991)))+~P106(f326(f326(f234(a1),a82),x63992))
% 178.51/178.26 [6428]E(x64281,f2(a914))+~P106(f326(f326(f235(a914),x64281),f326(a112,x64282)))+P106(f326(f326(f235(a914),f818(x64282,x64281)),x64282))
% 178.51/178.26 [6452]~P119(x64521)+~P106(f326(f326(f235(x64521),f2(x64521)),f81(x64521,x64522)))+P106(f326(f326(f235(x64521),f2(x64521)),x64522))
% 178.51/178.26 [6454]~E(f326(f103(a914),x64542),f326(f103(a914),x64541))+P106(f326(f326(f234(a1),f326(f103(a1),x64541)),f2(a1)))+~P106(f326(a193,f326(f103(a1),x64542)))
% 178.51/178.26 [6483]E(f326(f250(a1,a1),f50(x64831,x64832)),f326(f326(f36(a1),x64831),x64832))+~P106(f326(f326(f235(a1),x64831),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x64832))
% 178.51/178.26 [6521]E(f326(f255(a1,a1),f50(x65211,x65212)),f45(a1,x65211,x65212))+~P106(f326(f326(f235(a1),x65211),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x65212))
% 178.51/178.26 [6524]~P119(x65242)+~P106(f326(f326(f234(x65242),f2(x65242)),f326(f102(x65242),x65241)))+P106(f326(f326(f234(a1),f2(a1)),x65241))
% 178.51/178.26 [6525]~P125(x65252)+~P106(f326(f326(f235(x65252),f2(x65252)),f326(f100(x65252),x65251)))+P106(f326(f326(f235(a914),f2(a914)),x65251))
% 178.51/178.26 [6526]~P119(x65262)+~P106(f326(f326(f235(x65262),f2(x65262)),f326(f102(x65262),x65261)))+P106(f326(f326(f235(a1),f2(a1)),x65261))
% 178.51/178.26 [6530]E(f326(f250(a1,a1),f47(x65301,x65302)),f326(f326(f36(a1),x65301),x65302))+~P106(f326(f326(f234(a1),f2(a1)),x65302))+~P106(f326(f326(f235(a1),f2(a1)),x65301))
% 178.51/178.26 [6544]E(f326(f255(a1,a1),f47(x65441,x65442)),f45(a1,x65441,x65442))+~P106(f326(f326(f234(a1),f2(a1)),x65442))+~P106(f326(f326(f235(a1),f2(a1)),x65441))
% 178.51/178.26 [6560]~P80(x65601)+P106(f326(f326(f234(x65601),x65602),f2(x65601)))+~P106(f326(f326(f234(x65601),f2(x65601)),f326(f78(x65601),x65602)))
% 178.51/178.26 [6561]~P80(x65611)+P106(f326(f326(f235(x65611),x65612),f2(x65611)))+~P106(f326(f326(f235(x65611),f2(x65611)),f326(f78(x65611),x65612)))
% 178.51/178.26 [6587]P106(f326(f49(x65871,x65872),f50(x65871,x65872)))+~P106(f326(f326(f235(a1),x65871),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x65872))
% 178.51/178.26 [6613]P106(f326(f49(x66131,x66132),f47(x66131,x66132)))+~P106(f326(f326(f234(a1),f2(a1)),x66131))+~P106(f326(f326(f235(a1),f2(a1)),x66132))
% 178.51/178.26 [6656]~P80(x66561)+P106(f326(f326(f234(x66561),f326(f78(x66561),x66562)),f2(x66561)))+~P106(f326(f326(f234(x66561),f2(x66561)),x66562))
% 178.51/178.26 [6657]~P80(x66571)+P106(f326(f326(f235(x66571),f326(f78(x66571),x66572)),f2(x66571)))+~P106(f326(f326(f235(x66571),f2(x66571)),x66572))
% 178.51/178.26 [6675]E(f326(f326(f3(a914),f326(a104,x66751)),f326(a104,x66752)),f326(a104,f194(x66751,x66752)))+~P106(f326(f326(f234(a1),f2(a1)),x66752))+~P106(f326(f326(f234(a1),f2(a1)),x66751))
% 178.51/178.26 [6693]P106(f326(f326(f234(a1),f2(a1)),f194(x66931,x66932)))+~P106(f326(f326(f234(a1),f2(a1)),x66932))+~P106(f326(f326(f234(a1),f2(a1)),x66931))
% 178.51/178.26 [6730]~P106(f326(x67301,x67302))+P106(f326(x67301,f2(a914)))+P106(f326(x67301,f326(f326(f79(a914),f890(x67302,x67301)),f77(a914))))
% 178.51/178.26 [6813]E(f326(f103(a914),x68131),f326(f103(a914),x68132))+~P106(f326(f326(f234(a1),f326(f103(a1),x68132)),f2(a1)))+~P106(f326(a193,f326(f103(a1),x68131)))
% 178.51/178.26 [6825]~E(x68251,f2(a914))+~E(f678(x68252,x68251),f2(a914))+E(f326(f142(a914,a914,f79(a914),x68251),x68252),f2(a914))
% 178.51/178.26 [6849]~P106(f326(f61(x68491),f775(x68492,x68491)))+~P106(f326(f61(f922(x68491,a910)),x68492))+P106(f326(f61(x68491),f37(f922(x68491,a910),x68492)))
% 178.51/178.26 [6855]E(x68551,x68552)+P106(f326(f326(f235(a1),x68551),x68552))+~P106(f326(f326(f235(a1),x68551),f326(f326(f79(a1),x68552),f77(a1))))
% 178.51/178.26 [6856]P106(f326(f326(f234(a914),f326(a104,x68561)),f326(a104,x68562)))+~P106(f326(f326(f234(a1),f2(a1)),x68562))+~P106(f326(f326(f234(a1),x68561),x68562))
% 178.51/178.26 [6857]P106(f326(f326(f234(a914),f326(a104,x68571)),f326(a104,x68572)))+~P106(f326(f326(f235(a1),f2(a1)),x68571))+~P106(f326(f326(f234(a1),x68571),x68572))
% 178.51/178.26 [6859]P106(f326(f326(f235(a914),f326(a104,x68591)),f326(a104,x68592)))+~P106(f326(f326(f234(a1),f2(a1)),x68591))+~P106(f326(f326(f235(a1),x68591),x68592))
% 178.51/178.26 [6860]P106(f326(f326(f235(a914),f326(a104,x68601)),f326(a104,x68602)))+~P106(f326(f326(f235(a1),f2(a1)),x68602))+~P106(f326(f326(f235(a1),x68601),x68602))
% 178.51/178.26 [6871]E(f45(a914,f326(a104,x68711),f326(a104,x68712)),f326(a104,f45(a1,x68711,x68712)))+~P106(f326(f326(f234(a1),f2(a1)),x68712))+~P106(f326(f326(f234(a1),f2(a1)),x68711))
% 178.51/178.26 [6895]~P80(x68951)+~P106(f326(f326(f234(x68951),f326(f78(x68951),x68952)),f2(x68951)))+P106(f326(f326(f234(x68951),f2(x68951)),x68952))
% 178.51/178.26 [6896]~P80(x68961)+~P106(f326(f326(f235(x68961),f326(f78(x68961),x68962)),f2(x68961)))+P106(f326(f326(f235(x68961),f2(x68961)),x68962))
% 178.51/178.26 [6911]~P106(f326(f326(f235(a1),a82),x69112))+~P106(f326(f326(f235(a1),x69111),x69112))+P106(f326(f326(f235(a914),f326(f103(a914),x69111)),f326(f103(a914),x69112)))
% 178.51/178.26 [7002]~P106(f326(f326(f234(a1),f2(a1)),x70021))+P106(f326(f326(f235(a914),f326(a104,x70021)),x70022))+~P106(f326(f326(f235(a1),x70021),f326(f100(a1),x70022)))
% 178.51/178.26 [7007]P106(f326(x70071,x70072))+~P106(f326(x70071,f326(a22,f815(x70071,x70072))))+~P106(f326(f326(f328(a914),x70072),f241(f922(a914,a910))))
% 178.51/178.26 [7018]E(x70181,f2(a1))+E(f45(a1,x70182,x70181),f2(a1))+E(f326(f326(f3(a1),f326(f78(a1),f326(f326(f36(a1),x70182),x70181))),f77(a1)),f326(f326(f36(a1),x70182),f326(f78(a1),x70181)))
% 178.51/178.26 [7032]~P106(f326(f326(f234(a1),f2(a1)),x70321))+~P106(f326(f326(f235(a914),f326(a104,x70321)),x70322))+P106(f326(f326(f235(a1),x70321),f326(f100(a1),x70322)))
% 178.51/178.26 [7066]~P106(f326(f326(f234(a914),f326(a104,x70661)),f326(a104,x70662)))+~P106(f326(f326(f234(a1),f2(a1)),x70662))+P106(f326(f326(f234(a1),x70661),x70662))
% 178.51/178.26 [7067]~P106(f326(f326(f234(a914),f326(a104,x70671)),f326(a104,x70672)))+~P106(f326(f326(f235(a1),f2(a1)),x70671))+P106(f326(f326(f234(a1),x70671),x70672))
% 178.51/178.26 [7096]P106(f326(f326(f234(a1),x70961),x70962))+~P106(f326(f326(f234(a914),f326(f103(a914),x70961)),f326(f103(a914),x70962)))+P106(f326(f326(f234(a1),x70961),a82))
% 178.51/178.26 [7121]P106(f326(f326(f234(a1),f2(a1)),f45(a1,x71211,x71212)))+~P106(f326(f326(f234(a1),f2(a1)),x71212))+~P106(f326(f326(f234(a1),f2(a1)),x71211))
% 178.51/178.26 [7220]P106(f326(f326(f235(a1),a82),x72201))+~P106(f326(f326(f235(a1),x72202),x72201))+~P106(f326(f326(f235(a914),f326(f103(a914),x72202)),f326(f103(a914),x72201)))
% 178.51/178.26 [7273]E(f326(f326(f251(a1,a1),f326(f326(f36(a1),x72731),x72732)),f45(a1,x72731,x72732)),f50(x72731,x72732))+~P106(f326(f326(f235(a1),x72731),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x72732))
% 178.51/178.26 [7293]E(f326(f326(f251(a1,a1),f326(f326(f36(a1),x72931),x72932)),f45(a1,x72931,x72932)),f47(x72931,x72932))+~P106(f326(f326(f234(a1),f2(a1)),x72932))+~P106(f326(f326(f234(a1),f2(a1)),x72931))
% 178.51/178.26 [7345]~P97(x73452)+E(x73451,f113(x73452))+E(f326(f142(x73452,x73452,f80(x73452),f326(f141(x73452),x73451)),f326(f171(x73452),x73451)),f326(f63(x73452,f80(x73452)),f326(f172(x73452),x73451)))
% 178.51/178.26 [7462]~E(x74621,f2(a914))+E(f326(f142(a914,a914,f79(a914),x74621),x74622),f2(a914))+P106(f326(f326(f328(a914),f678(x74622,x74621)),f326(f172(a914),x74622)))
% 178.51/178.26 [7512]~P106(f326(f326(f234(a1),x75121),f2(a1)))+P106(f326(f326(f234(a1),f326(f326(f36(a1),x75121),x75122)),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x75122))
% 178.51/178.26 [7513]~P106(f326(f326(f235(a1),x75132),f2(a1)))+P106(f326(f326(f234(a1),f326(f326(f36(a1),x75131),x75132)),f2(a1)))+~P106(f326(f326(f234(a1),f2(a1)),x75131))
% 178.51/178.26 [7514]~P106(f326(f326(f235(a1),x75142),f2(a1)))+P106(f326(f326(f235(a1),f326(f326(f36(a1),x75141),x75142)),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x75141))
% 178.51/178.26 [7516]~P106(f326(f326(f235(a1),x75161),f2(a1)))+P106(f326(f326(f235(a1),f326(f326(f36(a1),x75161),x75162)),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x75162))
% 178.51/178.26 [7523]P106(f326(f326(f328(f922(x75231,a910)),f775(x75232,x75231)),x75232))+~P106(f326(f61(f922(x75231,a910)),x75232))+P106(f326(f61(x75231),f37(f922(x75231,a910),x75232)))
% 178.51/178.26 [7613]P24(x76131,x76131,x76132,f241(f922(x76131,a910)))+~E(f326(f309(x76131,x76131,x76132),f241(f922(x76131,a910))),f241(f922(x76131,a910)))+~P106(f326(f61(x76131),f241(f922(x76131,a910))))
% 178.51/178.26 [7732]~P24(x77321,x77321,x77322,f241(f922(x77321,a910)))+E(f326(f309(x77321,x77321,x77322),f241(f922(x77321,a910))),f241(f922(x77321,a910)))+~P106(f326(f61(x77321),f241(f922(x77321,a910))))
% 178.51/178.26 [7869]E(f326(f326(f36(a1),x78691),x78692),f326(f103(a1),a97))+~P106(f326(f326(f234(a1),f326(f326(f79(a1),x78691),x78692)),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x78691))
% 178.51/178.26 [7925]~P106(f326(f326(f235(a1),x79252),f2(a1)))+~P106(f326(f326(f235(a1),f326(f326(f36(a1),x79251),x79252)),f2(a1)))+P106(f326(f326(f235(a1),f2(a1)),x79251))
% 178.51/178.26 [7930]E(f326(f326(f79(a1),x79301),x79302),f45(a1,x79301,x79302))+~P106(f326(f326(f234(a1),f326(f326(f79(a1),x79301),x79302)),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x79301))
% 178.51/178.26 [7933]P106(f326(f326(f235(a1),x79331),f2(a1)))+~P106(f326(f326(f235(a1),f326(f326(f36(a1),x79331),x79332)),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x79332))
% 178.51/178.26 [8617]~P109(x86171)+P12(x86171,x86172)+~P106(f326(f326(f234(x86171),f326(f326(f164(x86171),x86172),f708(x86172,x86171))),f326(f326(f164(x86171),x86172),f709(x86172,x86171))))
% 178.51/178.26 [8618]~P109(x86181)+P12(x86181,x86182)+~P106(f326(f326(f234(x86181),f326(f326(f164(x86181),x86182),f716(x86182,x86181))),f326(f326(f164(x86181),x86182),f720(x86182,x86181))))
% 178.51/178.26 [5868]E(x58681,f2(a1))+~E(f45(a1,x58682,x58681),f2(a1))+E(f326(f326(f36(a1),x58682),f326(f78(a1),x58681)),f326(f78(a1),f326(f326(f36(a1),x58682),x58681)))
% 178.51/178.26 [5886]~P40(x58862)+~P40(x58861)+P40(f326(f326(f110(f922(a1,a910)),x58861),x58862))
% 178.51/178.26 [5887]~P40(x58872)+~P40(x58871)+P40(f326(f326(f101(f922(a1,a910)),x58871),x58872))
% 178.51/178.26 [5905]~P63(x59051)+~P95(x59051)+E(f326(f78(x59051),f326(f326(f289(x59051),f77(x59051)),x59052)),f326(f326(f289(x59051),f326(f103(x59051),a97)),x59052))
% 178.51/178.26 [6032]E(x60321,f2(a1))+~E(f45(a1,x60322,x60321),f2(a1))+E(f326(f326(f36(a1),f326(f78(a1),x60322)),x60321),f326(f78(a1),f326(f326(f36(a1),x60322),x60321)))
% 178.51/178.26 [6167]~P109(x61671)+P12(x61671,x61672)+P106(f326(f326(f235(a914),f709(x61672,x61671)),f326(f189(f915(x61671)),x61672)))
% 178.51/178.26 [6168]~P109(x61681)+P12(x61681,x61682)+P106(f326(f326(f235(a914),f720(x61682,x61681)),f326(f189(f915(x61681)),x61682)))
% 178.51/178.26 [6329]~P95(x63291)+~E(f326(f103(x63291),x63292),f2(x63291))+P27(x63291,f326(f103(x63291),f326(f326(f79(a1),x63292),f326(f78(a1),a82))))
% 178.51/178.26 [6330]~P95(x63301)+~E(f326(f103(x63301),x63302),f2(x63301))+P27(x63301,f326(f103(x63301),f326(f326(f79(a1),a82),f326(f78(a1),x63302))))
% 178.51/178.26 [6332]E(f326(a51,f47(f326(f78(a1),x63321),f326(f78(a1),x63322))),f46(x63321,x63322))+P106(f326(f326(f234(a1),f2(a1)),x63321))+P106(f326(f326(f235(a1),f2(a1)),x63322))
% 178.51/178.26 [6460]~E(x64602,f2(a914))+~E(x64601,f2(a914))+P106(f326(f326(f234(a1),f326(f100(a1),x64601)),f326(f78(a1),f326(f100(a1),x64602))))
% 178.51/178.26 [6489]E(f326(f326(f79(a914),f326(f103(a914),x64891)),f326(f103(a914),x64892)),f326(f103(a914),f326(f326(f79(a1),x64891),x64892)))+P106(f326(f326(f235(a1),x64891),a82))+P106(f326(f326(f235(a1),x64892),a82))
% 178.51/178.26 [6622]~P76(x66221)+~P106(f326(f326(f234(x66221),f2(x66221)),x66222))+P106(f326(f326(f234(x66221),f326(f78(x66221),x66222)),x66222))
% 178.51/178.26 [6623]~P76(x66231)+~P106(f326(f326(f235(x66231),f2(x66231)),x66232))+P106(f326(f326(f235(x66231),f326(f78(x66231),x66232)),x66232))
% 178.51/178.26 [6799]E(f326(f326(f3(a914),f326(a104,x67991)),f326(a104,x67992)),f326(a104,f326(f326(f3(a1),x67991),x67992)))+~P106(f326(f326(f234(a1),f2(a1)),x67992))+~P106(f326(f326(f234(a1),x67992),x67991))
% 178.51/178.26 [6833]E(f326(a104,f45(a1,f326(f103(a1),x68331),f326(f103(a1),x68332))),f45(a914,f326(f103(a914),x68331),f326(f103(a914),x68332)))+P106(f326(a193,f326(f103(a1),x68331)))+P106(f326(a193,f326(f103(a1),x68332)))
% 178.51/178.26 [6850]~P76(x68501)+P106(f326(f326(f234(x68501),f2(x68501)),x68502))+~P106(f326(f326(f234(x68501),f326(f78(x68501),x68502)),x68502))
% 178.51/178.26 [6851]~P76(x68511)+P106(f326(f326(f235(x68511),f2(x68511)),x68512))+~P106(f326(f326(f235(x68511),f326(f78(x68511),x68512)),x68512))
% 178.51/178.26 [6863]~P76(x68631)+~P106(f326(f326(f234(x68631),f2(x68631)),x68632))+P106(f326(f326(f234(x68631),f2(x68631)),f326(f326(f79(x68631),x68632),x68632)))
% 178.51/178.26 [6865]~P76(x68651)+~P106(f326(f326(f235(x68651),f2(x68651)),x68652))+P106(f326(f326(f235(x68651),f2(x68651)),f326(f326(f79(x68651),x68652),x68652)))
% 178.51/178.26 [6877]E(f326(f326(f79(a914),f326(a104,x68771)),f326(a104,x68772)),f326(a104,f326(f326(f79(a1),x68771),x68772)))+~P106(f326(f326(f234(a1),f2(a1)),x68772))+~P106(f326(f326(f234(a1),f2(a1)),x68771))
% 178.51/178.26 [6888]E(x68881,f2(a914))+P106(f326(f326(f235(a914),f2(a914)),x68882))+~P106(f326(f326(f235(a914),f2(a914)),f326(f326(f243(a914),x68882),x68881)))
% 178.51/178.26 [6921]~P95(x69211)+E(f326(f103(x69211),x69212),f2(x69211))+~P27(x69211,f326(f103(x69211),f326(f326(f79(a1),a82),f326(f78(a1),x69212))))
% 178.51/178.26 [6922]~P95(x69221)+E(f326(f103(x69221),x69222),f2(x69221))+~P27(x69221,f326(f103(x69221),f326(f326(f79(a1),x69222),f326(f78(a1),a82))))
% 178.51/178.26 [6980]~P106(f326(f61(x69801),x69802))+~P106(f326(f61(x69801),f241(f922(x69801,a910))))+P106(f326(f61(x69801),f326(f78(f922(x69801,a910)),x69802)))
% 178.51/178.26 [7003]~P106(f326(f326(f235(a1),f2(a1)),x70032))+~P106(f326(f326(f234(a1),x70032),x70031))+P106(f326(f326(f235(a1),f2(a1)),f326(f326(f36(a1),x70031),x70032)))
% 178.51/178.26 [7004]~P106(f326(f326(f234(a1),x70041),f2(a1)))+~P106(f326(f326(f235(a1),x70042),f2(a1)))+P106(f326(f326(f234(a1),f2(a1)),f326(f326(f36(a1),x70041),x70042)))
% 178.51/178.26 [7040]~P106(f326(f326(f234(a1),f2(a1)),x70402))+~P106(f326(f326(f234(a1),f2(a1)),x70401))+P106(f326(f326(f234(a1),f2(a1)),f326(f326(f80(a1),x70401),x70402)))
% 178.51/178.26 [7041]~P106(f326(f326(f234(a1),f2(a1)),x70412))+~P106(f326(f326(f234(a1),f2(a1)),x70411))+P106(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),x70411),x70412)))
% 178.51/178.26 [7042]~P106(f326(f326(f234(a1),f2(a1)),x70422))+~P106(f326(f326(f234(a1),f2(a1)),x70421))+P106(f326(f326(f234(a1),f2(a1)),f326(f326(f36(a1),x70421),x70422)))
% 178.51/178.26 [7043]~P106(f326(f326(f234(a1),f2(a1)),x70431))+~P106(f326(f326(f235(a1),f2(a1)),x70432))+P106(f326(f326(f234(a1),f2(a1)),f326(f326(f36(a1),x70431),x70432)))
% 178.51/178.26 [7044]~P106(f326(f326(f235(a914),f2(a914)),x70442))+~P106(f326(f326(f235(a914),f2(a914)),x70441))+P106(f326(f326(f235(a914),f2(a914)),f326(f326(f80(a914),x70441),x70442)))
% 178.51/178.26 [7108]E(x71081,f2(a1))+E(f45(a1,x71082,x71081),f2(a1))+E(f326(f326(f3(a1),f326(f78(a1),f326(f326(f36(a1),x71082),x71081))),f77(a1)),f326(f326(f36(a1),f326(f78(a1),x71082)),x71081))
% 178.51/178.26 [7164]P106(f326(f326(f235(a914),f2(a914)),x71641))+P106(f326(f326(f235(a914),f2(a914)),x71642))+~P106(f326(f326(f235(a914),f2(a914)),f326(f326(f79(a914),x71642),x71641)))
% 178.51/178.26 [7168]~P76(x71681)+P106(f326(f326(f234(x71681),f2(x71681)),x71682))+~P106(f326(f326(f234(x71681),f2(x71681)),f326(f326(f79(x71681),x71682),x71682)))
% 178.51/178.26 [7169]~P76(x71691)+P106(f326(f326(f235(x71691),f2(x71691)),x71692))+~P106(f326(f326(f235(x71691),f2(x71691)),f326(f326(f79(x71691),x71692),x71692)))
% 178.51/178.26 [7221]~P106(f326(f61(x72211),x72212))+P106(f326(f61(x72211),f241(f922(x72211,a910))))+~P106(f326(f61(x72211),f326(f78(f922(x72211,a910)),x72212)))
% 178.51/178.26 [7285]P106(f326(f326(f234(a1),x72851),f2(a1)))+~P106(f326(f326(f235(a1),x72852),f2(a1)))+~P106(f326(f326(f234(a1),f2(a1)),f326(f326(f36(a1),x72851),x72852)))
% 178.51/178.26 [7291]~P106(f326(f326(f235(a1),f2(a1)),x72911))+P106(f326(f326(f234(a1),x72911),x72912))+~P106(f326(f326(f235(a1),f2(a1)),f326(f326(f36(a1),x72912),x72911)))
% 178.51/178.26 [7292]~P106(f326(f326(f234(a1),f2(a1)),x72922))+P106(f326(f326(f234(a1),x72921),x72922))+~P106(f326(f326(f235(a1),f2(a1)),f326(f326(f36(a1),x72922),x72921)))
% 178.51/178.26 [7322]P106(f326(f326(f234(a1),f2(a1)),x73221))+~P106(f326(f326(f235(a1),f2(a1)),x73222))+~P106(f326(f326(f234(a1),f2(a1)),f326(f326(f36(a1),x73221),x73222)))
% 178.51/178.26 [7323]P106(f326(f326(f235(a1),f2(a1)),x73231))+~P106(f326(f326(f234(a1),f2(a1)),x73232))+~P106(f326(f326(f235(a1),f2(a1)),f326(f326(f36(a1),x73232),x73231)))
% 178.51/178.26 [7763]~P106(f326(f61(x77632),f241(f922(x77632,a910))))+~P106(f326(f61(x77631),f241(f922(x77631,a910))))+P106(f326(f61(f920(x77631,x77632)),f241(f922(f920(x77631,x77632),a910))))
% 178.51/178.26 [7764]~P106(f326(f61(x77642),f241(f922(x77642,a910))))+~P106(f326(f61(x77641),f241(f922(x77641,a910))))+P106(f326(f61(f921(x77641,x77642)),f241(f922(f921(x77641,x77642),a910))))
% 178.51/178.26 [7834]~P106(f326(f326(f235(a914),f326(a112,f2(a914))),x78341))+~P106(f326(f326(f235(a914),f326(a112,f2(a914))),x78342))+P106(f326(f326(f235(a914),x78341),f326(f326(f80(a914),x78342),x78341)))
% 178.51/178.26 [7835]~P106(f326(f326(f235(a914),f326(a112,f2(a914))),x78351))+~P106(f326(f326(f235(a914),f326(a112,f2(a914))),x78352))+P106(f326(f326(f235(a914),x78351),f326(f326(f80(a914),x78351),x78352)))
% 178.51/178.26 [7868]E(f326(f35(x78681),f241(f922(x78681,a910))),f326(a112,f2(a914)))+P106(f326(f61(x78682),f241(f922(x78682,a910))))+~P106(f326(f61(f922(x78682,x78681)),f241(f922(f922(x78682,x78681),a910))))
% 178.51/178.26 [7994]~P106(f326(f326(f234(a914),f326(a112,f2(a914))),x79941))+~P106(f326(f326(f234(a914),f326(a112,f2(a914))),x79942))+P106(f326(f326(f234(a914),f326(a112,f2(a914))),f326(f326(f80(a914),x79941),x79942)))
% 178.51/178.26 [7995]~P106(f326(f326(f235(a914),f326(a112,f2(a914))),x79952))+~P106(f326(f326(f235(a914),f326(a112,f2(a914))),x79951))+P106(f326(f326(f235(a914),f326(a112,f2(a914))),f326(f326(f80(a914),x79951),x79952)))
% 178.51/178.26 [8664]E(x86641,f113(x86642))+~P106(f326(f137(x86642),x86641))+E(f177(x86642,f326(f326(f10(a910,a910,x86642),a321),f326(f326(f9(x86642,x86642,a910),a323),f144(x86642,x86641))),x86641),f114(x86642,x86641))
% 178.51/178.26 [8758]~P40(x87582)+~P40(x87581)+E(f326(f309(a914,a1,f100(a1)),f326(f326(f110(f922(a914,a910)),f326(f309(a1,a914,a104),x87581)),f326(f309(a1,a914,a104),x87582))),f326(f326(f110(f922(a1,a910)),x87581),x87582))
% 178.51/178.26 [8759]~P40(x87592)+~P40(x87591)+E(f326(f309(a914,a1,f100(a1)),f326(f326(f101(f922(a914,a910)),f326(f309(a1,a914,a104),x87591)),f326(f309(a1,a914,a104),x87592))),f326(f326(f101(f922(a1,a910)),x87591),x87592))
% 178.51/178.26 [9423]~P95(x94231)+~E(f326(f103(x94231),x94232),f77(x94231))+P27(x94231,f326(f103(x94231),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f78(a1),x94232))))
% 178.51/178.26 [9674]~P95(x96741)+E(f326(f103(x96741),x96742),f77(x96741))+~P27(x96741,f326(f103(x96741),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f78(a1),x96742))))
% 178.51/178.26 [10428]E(x104281,f2(a1))+E(x104282,f2(a1))+E(f326(f257(a1,a1,a1,a1,f31(a1),f326(f80(a1),f81(a1,x104282))),f326(f326(f326(f96(f921(a1,a1)),f326(f326(a323,f81(a1,x104281)),f81(a1,x104282))),f53(x104281,x104282)),f326(f326(f256(a1,a1,f921(a1,a1)),f326(f326(f20(a1,f922(a1,f921(a1,a1)),f922(a1,f921(a1,a1))),f326(f326(f10(f922(a1,f922(f921(a1,a1),f921(a1,a1))),f922(f922(a1,f921(a1,a1)),f922(a1,f921(a1,a1))),a1),f20(a1,f921(a1,a1),f921(a1,a1))),f326(f326(f10(f921(a1,a1),f922(a1,f922(f921(a1,a1),f921(a1,a1))),a1),f326(f9(a1,f921(a1,a1),f922(f921(a1,a1),f921(a1,a1))),f326(f326(f10(a910,f922(f921(a1,a1),f922(f921(a1,a1),f921(a1,a1))),a1),f96(f921(a1,a1))),f326(f326(f9(a1,a1,a910),a323),f2(a1))))),f326(f326(f9(a1,a1,f921(a1,a1)),f326(f326(f10(a1,f922(a1,f921(a1,a1)),a1),f251(a1,a1)),f78(a1))),f2(a1))))),f326(f326(f9(a1,f922(a1,a1),f922(a1,f921(a1,a1))),f326(f326(f10(f922(a1,f921(a1,a1)),f922(f922(a1,a1),f922(a1,f921(a1,a1))),a1),f10(a1,f921(a1,a1),a1)),f326(f326(f10(a1,f922(a1,f921(a1,a1)),a1),f251(a1,a1)),f326(f326(f9(a1,a1,a1),f326(f326(f10(a1,f922(a1,a1),a1),f3(a1)),f78(a1))),f77(a1))))),f326(f3(a1),f326(f75(a1),x104282))))),f53(x104281,x104282)))),f46(x104281,x104282))
% 178.51/178.26 [10429]E(x104291,f2(a1))+E(x104292,f2(a1))+E(f326(f257(a1,a1,a1,a1,f31(a1),f326(f80(a1),f81(a1,x104292))),f326(f326(f326(f96(f921(a1,a1)),f326(f326(a324,f326(f326(a325,f326(f326(f235(a1),f2(a1)),x104292)),f326(f326(f234(a1),f2(a1)),x104291))),f326(f326(a325,f326(f326(f235(a1),x104292),f2(a1))),f326(f326(f235(a1),x104291),f2(a1))))),f53(x104291,x104292)),f326(f326(f256(a1,a1,f921(a1,a1)),f326(f326(f20(a1,f922(a1,f921(a1,a1)),f922(a1,f921(a1,a1))),f326(f326(f10(f922(a1,f922(f921(a1,a1),f921(a1,a1))),f922(f922(a1,f921(a1,a1)),f922(a1,f921(a1,a1))),a1),f20(a1,f921(a1,a1),f921(a1,a1))),f326(f326(f10(f921(a1,a1),f922(a1,f922(f921(a1,a1),f921(a1,a1))),a1),f326(f9(a1,f921(a1,a1),f922(f921(a1,a1),f921(a1,a1))),f326(f326(f10(a910,f922(f921(a1,a1),f922(f921(a1,a1),f921(a1,a1))),a1),f96(f921(a1,a1))),f326(f326(f9(a1,a1,a910),a323),f2(a1))))),f326(f326(f9(a1,a1,f921(a1,a1)),f326(f326(f10(a1,f922(a1,f921(a1,a1)),a1),f251(a1,a1)),f78(a1))),f2(a1))))),f326(f326(f9(a1,f922(a1,a1),f922(a1,f921(a1,a1))),f326(f326(f10(f922(a1,f921(a1,a1)),f922(f922(a1,a1),f922(a1,f921(a1,a1))),a1),f10(a1,f921(a1,a1),a1)),f326(f326(f10(a1,f922(a1,f921(a1,a1)),a1),f251(a1,a1)),f326(f326(f9(a1,a1,a1),f326(f326(f10(a1,f922(a1,a1),a1),f3(a1)),f78(a1))),f77(a1))))),f326(f3(a1),f326(f75(a1),x104292))))),f53(x104291,x104292)))),f46(x104291,x104292))
% 178.51/178.26 [5894]~P119(x58941)+~P95(x58941)+E(f326(f75(x58941),f326(f326(f243(x58941),f326(f103(x58941),a97)),x58942)),f77(x58941))
% 178.51/178.26 [6400]~P141(x64001)+~P106(f326(f326(f235(a1),x64002),f2(a1)))+E(f326(f78(x64001),f326(f100(x64001),f326(a104,f326(f78(a1),x64002)))),f326(f102(x64001),x64002))
% 178.51/178.26 [6606]P106(f326(f326(f234(a99),x66061),f77(a99)))+E(f326(f326(f79(a99),f77(a99)),f271(x66061,f326(f326(f36(a99),x66062),x66061))),f271(x66061,x66062))+P106(f326(f326(f235(a99),x66062),x66061))
% 178.51/178.26 [7209]~P93(x72091)+~P106(f326(f326(f328(x72091),x72092),f109(x72091)))+~E(f326(f326(f79(x72091),f326(f326(f79(x72091),f77(x72091)),x72092)),x72092),f2(x72091))
% 178.51/178.26 [7324]~P106(f326(f326(f234(a1),x73242),f2(a1)))+~P106(f326(f326(f235(a1),x73241),f2(a1)))+E(f326(f250(a1,a1),f326(a51,f47(f326(f78(a1),x73241),f326(f78(a1),x73242)))),f326(f326(f36(a1),x73241),x73242))
% 178.51/178.26 [7341]~P106(f326(f326(f234(a1),x73412),f2(a1)))+~P106(f326(f326(f235(a1),x73411),f2(a1)))+E(f326(f255(a1,a1),f326(a51,f47(f326(f78(a1),x73411),f326(f78(a1),x73412)))),f45(a1,x73411,x73412))
% 178.51/178.26 [7347]~P106(f326(f326(f235(a1),x73472),f2(a1)))+E(f326(f250(a1,a1),f326(a51,f50(f326(f78(a1),x73471),f326(f78(a1),x73472)))),f326(f326(f36(a1),x73471),x73472))+~P106(f326(f326(f235(a1),f2(a1)),x73471))
% 178.51/178.26 [7365]~P106(f326(f326(f235(a1),x73652),f2(a1)))+E(f326(f255(a1,a1),f326(a51,f50(f326(f78(a1),x73651),f326(f78(a1),x73652)))),f45(a1,x73651,x73652))+~P106(f326(f326(f235(a1),f2(a1)),x73651))
% 178.51/178.26 [7418]E(f326(f326(f36(a1),f326(f326(f243(a1),x74181),x74182)),x74181),f326(f326(f243(a1),x74181),f326(f326(f3(a914),x74182),f326(a112,f2(a914)))))+~P106(f326(f326(f235(a914),f2(a914)),x74182))+~P106(f326(f326(f235(a1),f2(a1)),x74181))
% 178.51/178.26 [7519]~P106(f326(f326(f235(a914),f2(a914)),x75191))+~P106(f326(f326(f235(a914),f2(a914)),x75192))+P106(f326(f326(f235(a914),f326(f326(f3(a914),x75191),x75192)),x75191))
% 178.51/178.26 [7520]~P106(f326(f326(f235(a914),f2(a914)),x75201))+~P106(f326(f326(f235(a914),f77(a914)),x75202))+P106(f326(f326(f235(a914),f326(f326(f36(a914),x75201),x75202)),x75201))
% 178.51/178.26 [7521]~P106(f326(f326(f235(a1),f2(a1)),x75211))+~P106(f326(f326(f235(a1),f77(a1)),x75212))+P106(f326(f326(f235(a1),f326(f326(f36(a1),x75211),x75212)),x75211))
% 178.51/178.26 [7659]E(x76591,f2(a914))+~E(x76592,f2(a1))+~P106(f326(f326(f235(a1),f2(a1)),f326(f326(f243(a1),f326(f75(a1),x76592)),x76591)))
% 178.51/178.26 [8071]~E(x80712,f113(f915(x80711)))+E(f326(f189(f915(f915(x80711))),f179(x80711,x80712)),f2(a914))+~P12(a914,f326(f168(a914),f326(f326(f154(f915(x80711),a914),f189(f915(x80711))),x80712)))
% 178.51/178.26 [8317]P106(f326(x83171,x83172))+~P106(f326(x83171,f326(a106,f537(x83171,x83172))))+~P106(f326(f326(f328(f922(f921(a914,a914),a910)),x83172),a98))
% 178.51/178.26 [8333]E(x83331,f113(f915(x83332)))+E(f326(f189(f915(x83332)),f326(f326(f164(f915(x83332)),x83331),f2(a914))),f326(f189(f915(f915(x83332))),f179(x83332,x83331)))+~P12(a914,f326(f168(a914),f326(f326(f154(f915(x83332),a914),f189(f915(x83332))),x83331)))
% 178.51/178.26 [8473]~P38(x84731,x84732)+~P39(x84731,x84732)+P38(x84731,f326(f326(f3(f922(f921(x84731,x84731),a910)),x84732),f306(x84731,f188(f922(f921(x84731,x84731),a910)))))
% 178.51/178.26 [9043]~P106(f326(f61(x90431),f326(f261(x90431),x90432)))+~P106(f326(f61(x90431),f241(f922(x90431,a910))))+P106(f326(f61(x90431),f326(f261(x90431),f326(f326(f10(a910,a910,x90431),a321),x90432))))
% 178.51/178.26 [9107]E(f326(f326(f251(a914,a914),f326(a112,f326(f326(f36(a914),f326(f326(f3(a914),x91071),x91072)),x91072))),f45(a914,f326(f326(f3(a914),x91071),x91072),x91072)),f84(f921(a914,a914),f48(x91071,x91072)))+~P106(f326(f326(f235(a914),f2(a914)),x91072))+~P106(f326(f326(f234(a914),x91072),x91071))
% 178.51/178.26 [9388]~P106(f326(f61(x93881),f326(f261(x93881),x93882)))+P106(f326(f61(x93881),f241(f922(x93881,a910))))+~P106(f326(f61(x93881),f326(f261(x93881),f326(f326(f10(a910,a910,x93881),a321),x93882))))
% 178.51/178.26 [10115]P26(x101151,x101152)+~P37(x101151,f326(f250(f922(f921(x101151,x101151),a910),f922(f921(x101151,x101151),a910)),x101152))+~P106(f326(f326(f234(f922(f921(x101151,x101151),a910)),f326(f326(f288(x101151,x101151,x101151),f326(f250(f922(f921(x101151,x101151),a910),f922(f921(x101151,x101151),a910)),x101152)),f326(f255(f922(f921(x101151,x101151),a910),f922(f921(x101151,x101151),a910)),x101152))),f326(f250(f922(f921(x101151,x101151),a910),f922(f921(x101151,x101151),a910)),x101152)))
% 178.51/178.26 [7448]~P106(f326(f326(f235(a914),f2(a914)),x74482))+P106(f326(f326(f235(a914),x74481),x74482))+E(f326(a112,f326(f326(f36(a914),f326(f326(f3(a914),x74481),x74482)),x74482)),f326(f326(f36(a914),x74481),x74482))
% 178.51/178.26 [7585]~P106(f326(f326(f235(a914),f2(a914)),x75852))+~P106(f326(f326(f234(a914),x75852),x75851))+E(f326(a112,f326(f326(f36(a914),f326(f326(f3(a914),x75851),x75852)),x75852)),f326(f326(f36(a914),x75851),x75852))
% 178.51/178.26 [8537]~P95(x85371)+~P93(x85371)+~P27(x85371,f326(f103(x85371),f326(f326(f3(a1),f326(f326(f79(a1),x85372),x85372)),a97)))
% 178.51/178.26 [9296]E(x92961,f2(a914))+E(f326(f326(f256(a914,a914,f921(a914,a914)),f326(f326(f10(a914,f922(a914,f921(a914,a914)),a914),f251(a914,a914)),a112)),f84(f921(a914,a914),f48(f326(f326(f3(a914),x92962),x92961),x92961))),f84(f921(a914,a914),f48(x92962,x92961)))+P106(f326(f326(f235(a914),x92962),x92961))
% 178.51/178.26 [9477]~P38(x94771,x94772)+~P51(x94771,x94772)+P106(f326(f326(f234(f922(f921(x94771,x94771),a910)),f326(f326(f288(x94771,x94771,x94771),f326(f285(x94771,x94771),x94772)),x94772)),x94772))
% 178.51/178.26 [9738]P106(f326(x97382,f642(x97382,x97381)))+P106(f326(x97381,f642(x97382,x97381)))+E(f326(f261(a1),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a325),f326(f234(a1),f2(a1)))),x97381)),f326(f261(a1),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a325),f326(f234(a1),f2(a1)))),x97382)))
% 178.51/178.26 [9742]~P106(f326(x97422,f642(x97422,x97421)))+~P106(f326(x97421,f642(x97422,x97421)))+E(f326(f261(a1),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a325),f326(f234(a1),f2(a1)))),x97421)),f326(f261(a1),f326(f326(f20(a1,a910,a910),f326(f326(f10(a910,f922(a910,a910),a1),a325),f326(f234(a1),f2(a1)))),x97422)))
% 178.51/178.26 [10284]~P106(f326(f326(f286(a914),x102842),x102841))+P106(f326(f326(f286(a914),x102841),x102842))+P106(f326(f326(f328(a914),x102841),f293(a914,f326(f326(f20(a914,f922(a914,a910),f922(a914,a910)),f326(f326(f10(f922(a914,f922(a910,a910)),f922(f922(a914,a910),f922(a914,a910)),a914),f20(a914,a910,a910)),f326(f326(f10(f922(a914,a910),f922(a914,f922(a910,a910)),a914),f326(f10(a910,f922(a910,a910),a914),a325)),f286(a914)))),f326(f326(f10(f922(a914,a910),f922(a914,a910),a914),f326(f10(a910,a910,a914),a321)),f326(f9(a914,a914,a910),f286(a914)))),x102842)))
% 178.51/178.26 [10285]~P106(f326(f326(f286(a914),x102852),x102851))+P106(f326(f326(f286(a914),x102851),x102852))+P106(f326(f326(f328(a914),x102852),f297(a914,f326(f326(f20(a914,f922(a914,a910),f922(a914,a910)),f326(f326(f10(f922(a914,f922(a910,a910)),f922(f922(a914,a910),f922(a914,a910)),a914),f20(a914,a910,a910)),f326(f326(f10(f922(a914,a910),f922(a914,f922(a910,a910)),a914),f326(f10(a910,f922(a910,a910),a914),a325)),f286(a914)))),f326(f326(f10(f922(a914,a910),f922(a914,a910),a914),f326(f10(a910,a910,a914),a321)),f326(f9(a914,a914,a910),f286(a914)))),x102851)))
% 178.51/178.26 [7792]~P64(x77921)+~P95(x77921)+E(f326(f326(f289(x77921),x77922),f326(f103(x77921),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),x77922)
% 178.51/178.26 [9422]~P95(x94221)+~E(f326(f103(x94221),x94222),f77(x94221))+P27(x94221,f326(f103(x94221),f326(f326(f79(a1),x94222),f326(f78(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 178.51/178.26 [9607]~P142(x96071)+~E(x96072,f77(x96071))+E(f326(f326(f243(x96071),x96072),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f77(x96071))
% 178.51/178.26 [9608]~P142(x96081)+~E(x96082,f2(x96081))+E(f326(f326(f243(x96081),x96082),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f2(x96081))
% 178.51/178.26 [9623]~P142(x96231)+~E(x96232,f326(f78(x96231),f77(x96231)))+E(f326(f326(f243(x96231),x96232),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f77(x96231))
% 178.51/178.26 [9675]~P95(x96751)+E(f326(f103(x96751),x96752),f77(x96751))+~P27(x96751,f326(f103(x96751),f326(f326(f79(a1),x96752),f326(f78(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 178.51/178.26 [10057]~P119(x100572)+E(x100571,f2(x100572))+P106(f326(f326(f235(x100572),f2(x100572)),f326(f326(f243(x100572),x100571),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 178.51/178.26 [10114]~P119(x101142)+~E(x101141,f2(x101142))+~P106(f326(f326(f235(x101142),f2(x101142)),f326(f326(f243(x101142),x101141),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 178.51/178.26 [10139]P106(f326(f326(f234(a1),x101391),f2(a1)))+P106(f326(f326(f235(a1),x101392),x101391))+E(f326(f43(x101391),f47(x101392,f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101391))),f47(x101392,x101391))
% 178.51/178.26 [10140]~P106(f326(f326(f235(a1),f2(a1)),x101401))+P106(f326(f326(f235(a1),x101402),x101401))+E(f326(f43(x101401),f47(x101402,f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101401))),f47(x101402,x101401))
% 178.51/178.26 [10141]P106(f326(f326(f234(a1),x101411),f2(a1)))+P106(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),x101412),x101411)))+E(f326(f43(x101411),f50(x101412,f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101411))),f50(x101412,x101411))
% 178.51/178.26 [10142]~P106(f326(f326(f235(a1),f2(a1)),x101421))+P106(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),x101422),x101421)))+E(f326(f43(x101421),f50(x101422,f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101421))),f50(x101422,x101421))
% 178.51/178.26 [10143]~P144(x101431)+~P106(f326(f326(f234(a1),f2(a1)),x101432))+E(f326(f100(x101431),f326(a104,f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101432))),f326(f326(f79(x101431),f326(f100(x101431),f326(a104,x101432))),f326(f100(x101431),f326(a104,x101432))))
% 178.51/178.26 [5226]~P146(x52261,x52263,x52262)+~E(x52263,f2(a1))+P106(f326(x52261,x52262))
% 178.51/178.26 [5351]~P109(x53511)+~P12(x53511,x53513)+P12(x53511,f170(x53511,x53512,x53513))
% 178.51/178.26 [5352]~P109(x53521)+~P12(x53521,x53523)+P12(x53521,f177(x53521,x53522,x53523))
% 178.51/178.26 [4914]~P74(x49142)+~E(x49143,f326(f78(x49142),x49141))+E(x49141,f326(f78(x49142),x49143))
% 178.51/178.26 [4916]~P74(x49161)+~E(f326(f78(x49161),x49163),x49162)+E(f326(f78(x49161),x49162),x49163)
% 178.51/178.26 [4995]~P103(x49953)+E(x49951,x49952)+~E(f326(f100(x49953),x49951),f326(f100(x49953),x49952))
% 178.51/178.26 [4996]~P74(x49963)+E(x49961,x49962)+~E(f326(f78(x49963),x49961),f326(f78(x49963),x49962))
% 178.51/178.26 [4997]~P96(x49973)+E(x49971,x49972)+~E(f326(f78(x49973),x49971),f326(f78(x49973),x49972))
% 178.51/178.26 [4998]~P93(x49983)+E(x49981,x49982)+~E(f326(f102(x49983),x49981),f326(f102(x49983),x49982))
% 178.51/178.26 [4999]~P109(x49993)+E(x49991,x49992)+~E(f326(f281(x49993),x49991),f326(f281(x49993),x49992))
% 178.51/178.26 [5000]~P109(x50003)+E(x50001,x50002)+~E(f326(f300(x50003),x50001),f326(f300(x50003),x50002))
% 178.51/178.26 [5001]~P109(x50013)+E(x50011,x50012)+~E(f326(f303(x50013),x50011),f326(f303(x50013),x50012))
% 178.51/178.26 [5002]~P109(x50023)+E(x50021,x50022)+~E(f326(f282(x50023),x50021),f326(f282(x50023),x50022))
% 178.51/178.26 [5104]~P62(x51041)+~P106(f326(x51042,x51043))+P106(f326(f56(x51041),x51042))
% 178.51/178.26 [5144]~P62(x51443)+P106(f326(x51441,x51442))+~P106(f326(f57(x51443),x51441))
% 178.51/178.26 [5246]~P147(x52461,x52462,x52463)+~E(x52462,f2(a1))+P106(f326(x52461,f2(a1)))
% 178.51/178.26 [5286]~E(x52861,f2(a914))+E(f816(x52861,x52862,x52863),f188(f922(x52863,a910)))+~E(f326(f35(x52863),x52862),f326(a112,x52861))
% 178.51/178.26 [5436]~E(x54362,f2(a914))+E(f326(f250(a914,a914),x54361),f2(a914))+~P106(f326(f48(x54363,x54362),x54361))
% 178.51/178.26 [5479]P106(f326(x54791,x54792))+~E(x54793,f326(f100(a1),x54792))+~P106(f326(x54791,f326(a104,x54793)))
% 178.51/178.26 [5958]~E(x59583,f2(a914))+~P106(f326(x59581,x59582))+P106(f326(x59581,f45(a914,x59582,x59583)))
% 178.51/178.26 [6195]~P104(x61952)+~P104(x61951)+E(f131(x61951,x61952,f132(x61951,x61953),f132(x61952,x61953)),f132(f921(x61951,x61952),x61953))
% 178.51/178.26 [6381]~E(x63813,f2(a914))+P106(f326(x63811,x63812))+~P106(f326(x63811,f45(a914,x63812,x63813)))
% 178.51/178.26 [7065]E(x70651,f2(a914))+~P106(f326(x70652,f378(x70651,x70653,x70652)))+P106(f326(x70652,f45(a914,x70653,x70651)))
% 178.51/178.26 [7174]~P4(x71741)+~P106(f326(f326(f234(x71741),x71742),f385(x71743,x71742,x71741)))+P106(f326(f326(f234(x71741),x71742),f38(x71741,x71743)))
% 178.51/178.26 [7176]~P106(f326(x71761,x71762))+~P106(f326(x71761,f378(x71763,x71762,x71761)))+P106(f326(x71761,f45(a914,x71762,x71763)))
% 178.51/178.26 [7279]E(x72791,f113(x72792))+E(f326(f326(f151(x72792),f690(x72793,x72791,x72792)),f693(x72793,x72791,x72792)),x72791)+~P106(f326(f326(f328(f915(x72792)),x72791),f161(x72792,x72793)))
% 178.51/178.26 [7311]~P141(x73111)+~P106(f326(f326(f328(x73111),x73112),f109(x73111)))+P106(f326(f326(f328(x73111),f326(f326(f243(x73111),x73112),x73113)),f109(x73111)))
% 178.51/178.26 [7631]P37(x76311,x76312)+~P106(f326(f326(f328(x76311),x76313),f599(x76312,x76311)))+P106(f326(f326(f328(x76311),f613(x76312,x76311,x76313)),f599(x76312,x76311)))
% 178.51/178.26 [7895]E(x78951,f113(x78952))+~P106(f326(f326(f328(f915(x78952)),x78951),f161(x78952,x78953)))+P106(f326(f326(f328(f915(x78952)),f693(x78953,x78951,x78952)),f161(x78952,x78953)))
% 178.51/178.26 [7947]E(x79471,f2(a914))+E(f326(f326(f79(a914),f326(f326(f80(a914),x79471),f379(x79471,x79472,x79473))),f378(x79471,x79472,x79473)),x79472)+P106(f326(x79473,f45(a914,x79472,x79471)))
% 178.51/178.26 [7989]~P106(f326(x79893,x79892))+E(f326(f326(f79(a914),f326(f326(f80(a914),x79891),f379(x79891,x79892,x79893))),f378(x79891,x79892,x79893)),x79892)+P106(f326(x79893,f45(a914,x79892,x79891)))
% 178.51/178.26 [8126]P106(f326(f326(f235(a1),x81261),f362(x81262,x81263,x81261)))+P106(f326(f326(x81263,f326(f326(f36(a1),x81262),x81261)),f45(a1,x81262,x81261)))+~P106(f326(f326(f235(a1),x81261),f2(a1)))
% 178.51/178.26 [8388]P106(f326(f326(x83882,f326(f326(f36(a1),x83881),x83883)),f45(a1,x83881,x83883)))+~P106(f326(f326(f235(a1),x83883),f2(a1)))+P106(f326(f326(f234(a1),f362(x83881,x83882,x83883)),f2(a1)))
% 178.51/178.26 [8571]E(f326(f326(f79(a1),f326(f326(f80(a1),x85711),f363(x85712,x85713,x85711))),f362(x85712,x85713,x85711)),x85712)+P106(f326(f326(x85713,f326(f326(f36(a1),x85712),x85711)),f45(a1,x85712,x85711)))+~P106(f326(f326(f235(a1),x85711),f2(a1)))
% 178.51/178.26 [8806]~P106(f326(f326(x88061,f363(x88062,x88061,x88063)),f362(x88062,x88061,x88063)))+P106(f326(f326(x88061,f326(f326(f36(a1),x88062),x88063)),f45(a1,x88062,x88063)))+~P106(f326(f326(f235(a1),x88063),f2(a1)))
% 178.51/178.26 [9056]~P109(x90561)+~P12(x90561,x90563)+P12(x90561,f149(x90561,x90561,f7(x90561),x90562,x90563))
% 178.51/178.26 [9554]~P126(x95542)+E(x95541,f2(x95542))+~P106(f326(f326(f234(x95542),f326(f326(f79(x95542),f326(f326(f80(x95542),x95543),x95543)),f326(f326(f80(x95542),x95541),x95541))),f2(x95542)))
% 178.51/178.26 [9555]~P126(x95552)+E(x95551,f2(x95552))+~P106(f326(f326(f234(x95552),f326(f326(f79(x95552),f326(f326(f80(x95552),x95551),x95551)),f326(f326(f80(x95552),x95553),x95553))),f2(x95552)))
% 178.51/178.26 [10359]~P119(x103591)+~P106(f326(f326(f235(x103591),x103592),f2(x103591)))+P106(f326(f326(f235(x103591),f326(f326(f243(x103591),x103592),f326(a112,f326(f326(f80(a914),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103593)))),f2(x103591)))
% 178.51/178.26 [10369]~P119(x103692)+E(x103691,f2(x103692))+~P106(f326(f326(f234(x103692),f326(f326(f79(x103692),f326(f326(f243(x103692),x103693),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103692),x103691),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f2(x103692)))
% 178.51/178.26 [10370]~P119(x103702)+E(x103701,f2(x103702))+~P106(f326(f326(f234(x103702),f326(f326(f79(x103702),f326(f326(f243(x103702),x103701),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103702),x103703),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f2(x103702)))
% 178.51/178.26 [4950]~E(x49502,x49503)+~P67(x49501)+E(f326(f326(f3(x49501),x49502),x49503),f2(x49501))
% 178.51/178.26 [4951]~E(x49512,x49513)+~P74(x49511)+E(f326(f326(f3(x49511),x49512),x49513),f2(x49511))
% 178.51/178.26 [4964]~P138(x49641)+~E(x49643,f2(x49641))+E(f326(f326(f79(x49641),x49642),x49643),x49642)
% 178.51/178.26 [4981]~P140(x49811)+~E(x49813,f2(x49811))+E(f326(f326(f80(x49811),x49812),x49813),f2(x49811))
% 178.51/178.26 [4982]~P140(x49821)+~E(x49822,f2(x49821))+E(f326(f326(f80(x49821),x49822),x49823),f2(x49821))
% 178.51/178.26 [5004]~E(x50043,f113(x50041))+~E(x50042,f113(x50041))+E(f326(f326(f134(x50041),x50042),x50043),f113(x50041))
% 178.51/178.26 [5094]~P138(x50942)+E(x50941,f2(x50942))+~E(f326(f326(f79(x50942),x50943),x50941),x50943)
% 178.51/178.26 [5095]~P74(x50951)+~E(x50952,f326(f78(x50951),x50953))+E(f326(f326(f79(x50951),x50952),x50953),f2(x50951))
% 178.51/178.26 [5102]E(x51021,f113(x51022))+E(x51023,f2(a914))+~E(f326(f326(f175(x51022),x51023),x51021),f113(x51022))
% 178.51/178.26 [5112]~P67(x51123)+E(x51121,x51122)+~E(f326(f326(f3(x51123),x51121),x51122),f2(x51123))
% 178.51/178.26 [5113]~P74(x51133)+E(x51131,x51132)+~E(f326(f326(f3(x51133),x51131),x51132),f2(x51133))
% 178.51/178.26 [5126]~P142(x51262)+E(x51261,f2(x51262))+~E(f326(f326(f243(x51262),x51261),x51263),f2(x51262))
% 178.51/178.26 [5127]~P79(x51272)+E(x51271,f188(x51272))+~E(f326(f326(f110(x51272),x51273),x51271),f188(x51272))
% 178.51/178.26 [5128]~P79(x51282)+E(x51281,f188(x51282))+~E(f326(f326(f110(x51282),x51281),x51283),f188(x51282))
% 178.51/178.26 [5129]~P100(x51292)+E(x51291,f241(x51292))+~E(f326(f326(f101(x51292),x51293),x51291),f241(x51292))
% 178.51/178.26 [5130]~P100(x51302)+E(x51301,f241(x51302))+~E(f326(f326(f101(x51302),x51301),x51303),f241(x51302))
% 178.51/178.26 [5200]~P74(x52002)+E(x52001,f326(f78(x52002),x52003))+~E(f326(f326(f79(x52002),x52001),x52003),f2(x52002))
% 178.51/178.26 [5201]~P74(x52011)+E(f326(f78(x52011),x52012),x52013)+~E(f326(f326(f79(x52011),x52012),x52013),f2(x52011))
% 178.51/178.26 [5203]~E(x52032,x52033)+~P107(x52031)+P106(f326(f326(f234(x52031),x52032),x52033))
% 178.51/178.26 [5205]~E(x52052,x52053)+~P110(x52051)+P106(f326(f326(f234(x52051),x52052),x52053))
% 178.51/178.26 [5304]~P121(x53041)+~E(x53042,f326(f78(x53041),x53043))+E(f326(f326(f80(x53041),x53042),x53042),f326(f326(f80(x53041),x53043),x53043))
% 178.51/178.26 [5312]~P109(x53121)+~P12(x53121,x53123)+P12(x53121,f326(f326(f175(x53121),x53122),x53123))
% 178.51/178.26 [5313]~P109(x53131)+~P12(x53131,x53133)+P12(x53131,f326(f326(f138(x53131),x53132),x53133))
% 178.51/178.26 [5349]E(x53491,x53492)+E(x53493,f2(a914))+~E(f326(f326(f80(a914),x53493),x53491),f326(f326(f80(a914),x53493),x53492))
% 178.51/178.26 [5350]E(x53501,x53502)+E(x53503,f2(a914))+~E(f326(f326(f80(a914),x53501),x53503),f326(f326(f80(a914),x53502),x53503))
% 178.51/178.26 [5429]~E(x54292,x54293)+~P110(x54291)+E(f302(x54291,x54292,x54293),f326(f326(f308(x54291),x54292),f188(f922(x54291,a910))))
% 178.51/178.26 [5477]~E(x54771,x54772)+~P109(x54773)+~P106(f326(f326(f235(x54773),x54771),x54772))
% 178.51/178.26 [5478]~E(x54781,x54782)+~P110(x54783)+~P106(f326(f326(f235(x54783),x54781),x54782))
% 178.51/178.26 [5490]~P110(x54901)+E(f326(f301(x54901,x54902),x54903),f188(f922(x54901,a910)))+P106(f326(f326(f235(x54901),x54902),x54903))
% 178.51/178.26 [5538]~P110(x55381)+E(f302(x55381,x55382,x55383),f188(f922(x55381,a910)))+P106(f326(f326(f234(x55381),x55382),x55383))
% 178.51/178.26 [5539]~P110(x55391)+E(f304(x55391,x55392,x55393),f188(f922(x55391,a910)))+P106(f326(f326(f235(x55391),x55392),x55393))
% 178.51/178.26 [5540]~P110(x55401)+E(f188(f922(x55401,a910)),f302(x55401,x55402,x55403))+P106(f326(f326(f234(x55401),x55402),x55403))
% 178.51/178.26 [5541]~P110(x55411)+E(f188(f922(x55411,a910)),f304(x55411,x55412,x55413))+P106(f326(f326(f235(x55411),x55412),x55413))
% 178.51/178.26 [5549]~P101(x55491)+~E(f326(f326(f110(x55491),x55492),x55493),x55493)+P106(f326(f326(f234(x55491),x55492),x55493))
% 178.51/178.26 [5550]~P102(x55501)+~E(f326(f326(f101(x55501),x55502),x55503),x55502)+P106(f326(f326(f234(x55501),x55502),x55503))
% 178.51/178.26 [5551]~P109(x55511)+~E(f326(f326(f232(x55511),x55512),x55513),x55512)+P106(f326(f326(f234(x55511),x55512),x55513))
% 178.51/178.26 [5552]~P109(x55521)+~E(f326(f326(f233(x55521),x55522),x55523),x55523)+P106(f326(f326(f234(x55521),x55522),x55523))
% 178.51/178.26 [5571]~P109(x55711)+P12(x55711,x55712)+~P12(x55711,f326(f326(f151(x55711),x55713),x55712))
% 178.51/178.26 [5572]~P109(x55721)+P12(x55721,x55722)+~P12(x55721,f326(f326(f134(x55721),x55723),x55722))
% 178.51/178.26 [5573]~P109(x55731)+P12(x55731,x55732)+~P12(x55731,f326(f326(f134(x55731),x55732),x55733))
% 178.51/178.26 [5638]~P109(x56381)+P106(f326(f326(f234(x56381),x56383),x56382))+P106(f326(f326(f234(x56381),x56382),x56383))
% 178.51/178.26 [5643]~P109(x56431)+P106(f326(f326(f235(x56431),x56433),x56432))+P106(f326(f326(f234(x56431),x56432),x56433))
% 178.51/178.26 [5681]~P101(x56811)+E(f326(f326(f110(x56811),x56812),x56813),x56812)+~P106(f326(f326(f234(x56811),x56813),x56812))
% 178.51/178.26 [5683]~P101(x56831)+E(f326(f326(f110(x56831),x56832),x56833),x56833)+~P106(f326(f326(f234(x56831),x56832),x56833))
% 178.51/178.26 [5684]~P102(x56841)+E(f326(f326(f101(x56841),x56842),x56843),x56843)+~P106(f326(f326(f234(x56841),x56843),x56842))
% 178.51/178.26 [5686]~P102(x56861)+E(f326(f326(f101(x56861),x56862),x56863),x56862)+~P106(f326(f326(f234(x56861),x56862),x56863))
% 178.51/178.26 [5687]~P109(x56871)+E(f326(f326(f232(x56871),x56872),x56873),x56873)+~P106(f326(f326(f234(x56871),x56873),x56872))
% 178.51/178.26 [5689]~P109(x56891)+E(f326(f326(f232(x56891),x56892),x56893),x56892)+~P106(f326(f326(f234(x56891),x56892),x56893))
% 178.51/178.26 [5690]~P109(x56901)+E(f326(f326(f233(x56901),x56902),x56903),x56902)+~P106(f326(f326(f234(x56901),x56903),x56902))
% 178.51/178.26 [5692]~P109(x56921)+E(f326(f326(f233(x56921),x56922),x56923),x56923)+~P106(f326(f326(f234(x56921),x56922),x56923))
% 178.51/178.26 [5699]~P122(x56992)+E(x56991,f2(x56992))+E(f326(f326(f289(x56992),f326(f78(x56992),x56993)),f326(f78(x56992),x56991)),f326(f326(f289(x56992),x56993),x56991))
% 178.51/178.26 [5751]~P110(x57511)+E(f326(f301(x57511,x57512),x57513),f188(f922(x57511,a910)))+~P106(f326(f326(f234(x57511),x57513),x57512))
% 178.51/178.26 [5783]~P110(x57831)+E(f302(x57831,x57832,x57833),f188(f922(x57831,a910)))+~P106(f326(f326(f235(x57831),x57833),x57832))
% 178.51/178.26 [5784]~P110(x57841)+E(f305(x57841,x57842,x57843),f188(f922(x57841,a910)))+~P106(f326(f326(f234(x57841),x57843),x57842))
% 178.51/178.26 [5785]~P110(x57851)+E(f304(x57851,x57852,x57853),f188(f922(x57851,a910)))+~P106(f326(f326(f234(x57851),x57853),x57852))
% 178.51/178.26 [5837]~E(f326(f326(f3(a914),x58371),x58373),x58372)+E(x58371,f326(f326(f79(a914),x58372),x58373))+~P106(f326(f326(f234(a914),x58373),x58371))
% 178.51/178.26 [5838]~E(x58381,f326(f326(f79(a914),x58383),x58382))+E(f326(f326(f3(a914),x58381),x58382),x58383)+~P106(f326(f326(f234(a914),x58382),x58381))
% 178.51/178.26 [5883]~P106(f326(x58831,x58833))+P106(f326(x58831,f423(x58831,x58832)))+~P106(f326(f326(f234(a914),x58833),x58832))
% 178.51/178.26 [5884]~P106(f326(x58841,x58843))+P106(f326(x58841,f444(x58841,x58842)))+~P106(f326(f326(f235(a914),x58843),x58842))
% 178.51/178.26 [5892]~P110(x58921)+~E(f326(f301(x58921,x58922),x58923),f188(f922(x58921,a910)))+~P106(f326(f326(f235(x58921),x58922),x58923))
% 178.51/178.26 [5897]~P107(x58971)+~P106(f326(f326(f235(x58971),x58972),x58973))+P106(f326(f326(f234(x58971),x58972),x58973))
% 178.51/178.26 [5899]~P110(x58991)+~P106(f326(f326(f235(x58991),x58992),x58993))+P106(f326(f326(f234(x58991),x58992),x58993))
% 178.51/178.26 [6017]~P110(x60171)+~E(f302(x60171,x60172,x60173),f188(f922(x60171,a910)))+~P106(f326(f326(f234(x60171),x60172),x60173))
% 178.51/178.26 [6018]~P110(x60181)+~E(f304(x60181,x60182,x60183),f188(f922(x60181,a910)))+~P106(f326(f326(f235(x60181),x60182),x60183))
% 178.51/178.26 [6019]~P110(x60191)+~E(f188(f922(x60191,a910)),f302(x60191,x60192,x60193))+~P106(f326(f326(f234(x60191),x60192),x60193))
% 178.51/178.26 [6020]~P110(x60201)+~E(f188(f922(x60201,a910)),f304(x60201,x60202,x60203))+~P106(f326(f326(f235(x60201),x60202),x60203))
% 178.51/178.26 [6030]P106(f326(x60301,x60302))+~P106(f326(x60301,f424(x60301,x60303)))+~P106(f326(f326(f234(a914),x60302),x60303))
% 178.51/178.26 [6031]P106(f326(x60311,x60312))+~P106(f326(x60311,f473(x60311,x60313)))+~P106(f326(f326(f235(a914),x60312),x60313))
% 178.51/178.26 [6039]~E(x60391,f326(a112,x60393))+P106(f326(f326(f235(a914),x60391),f326(a112,x60392)))+~P106(f326(f326(f235(a914),x60393),x60392))
% 178.51/178.26 [6058]E(x60581,x60582)+~E(f326(f326(f80(a914),x60583),x60581),f326(f326(f80(a914),x60583),x60582))+~P106(f326(f326(f235(a914),f2(a914)),x60583))
% 178.51/178.26 [6114]E(f326(x61141,f874(x61141,x61142,x61143)),f77(a914))+~E(f326(f326(f8(x61143,a914),x61141),x61142),f77(a914))+~P106(f326(f61(x61143),x61142))
% 178.51/178.26 [6130]~P4(x61301)+P106(f326(f326(f234(x61301),x61302),f37(x61301,x61303)))+~P106(f326(f326(f328(x61301),x61302),x61303))
% 178.51/178.26 [6153]~P107(x61531)+~P106(f326(f326(f235(x61531),x61533),x61532))+~P106(f326(f326(f234(x61531),x61532),x61533))
% 178.51/178.26 [6157]~P107(x61571)+~P106(f326(f326(f235(x61571),x61573),x61572))+~P106(f326(f326(f235(x61571),x61572),x61573))
% 178.51/178.26 [6160]~P109(x61601)+~P106(f326(f326(f235(x61601),x61603),x61602))+~P106(f326(f326(f234(x61601),x61602),x61603))
% 178.51/178.26 [6161]~P109(x61611)+~P106(f326(f326(f235(x61611),x61613),x61612))+~P106(f326(f326(f235(x61611),x61612),x61613))
% 178.51/178.26 [6162]~P110(x61621)+~P106(f326(f326(f235(x61621),x61623),x61622))+~P106(f326(f326(f235(x61621),x61622),x61623))
% 178.51/178.26 [6187]~E(f326(x61872,f875(x61872,x61873,x61871)),f2(a914))+E(f326(f326(f8(x61871,a914),x61872),x61873),f2(a914))+~P106(f326(f61(x61871),x61873))
% 178.51/178.26 [6188]~E(f326(x61882,f807(x61882,x61883,x61881)),f77(a914))+E(f326(f326(f11(x61881,a914),x61882),x61883),f77(a914))+~P106(f326(f61(x61881),x61883))
% 178.51/178.26 [6204]~P108(x62041)+~P106(f326(f326(f235(x62041),x62043),x62042))+P106(f326(f326(f328(x62041),x62042),f326(f303(x62041),x62043)))
% 178.51/178.26 [6205]~P108(x62051)+~P106(f326(f326(f234(x62051),x62053),x62052))+P106(f326(f326(f328(x62051),x62052),f326(f282(x62051),x62053)))
% 178.51/178.26 [6206]~P108(x62061)+~P106(f326(f326(f235(x62061),x62062),x62063))+P106(f326(f326(f328(x62061),x62062),f326(f281(x62061),x62063)))
% 178.51/178.26 [6207]~P108(x62071)+~P106(f326(f326(f234(x62071),x62072),x62073))+P106(f326(f326(f328(x62071),x62072),f326(f300(x62071),x62073)))
% 178.51/178.26 [6208]~P115(x62081)+~P106(f326(f326(f286(x62081),x62082),x62083))+P106(f326(f326(f286(x62081),x62082),f326(f78(x62081),x62083)))
% 178.51/178.26 [6220]E(f326(x62201,f876(x62201,x62202,x62203)),f326(a112,f2(a914)))+~E(f326(f326(f8(x62203,a914),x62201),x62202),f326(a112,f2(a914)))+~P106(f326(f61(x62203),x62202))
% 178.51/178.26 [6305]~P4(x63051)+~P106(f326(f326(f328(x63051),x63053),x63052))+P106(f326(f326(f234(x63051),f38(x63051,x63052)),x63053))
% 178.51/178.26 [6325]~P106(f326(f326(f234(a914),x63251),x63253))+P106(f326(f326(f234(a914),x63251),x63252))+~P106(f326(f326(f234(a914),x63253),x63252))
% 178.51/178.26 [6326]~P106(f326(f326(f234(a1),x63261),x63263))+P106(f326(f326(f234(a1),x63261),x63262))+~P106(f326(f326(f234(a1),x63263),x63262))
% 178.51/178.26 [6327]~P106(f326(f326(f286(a914),x63271),x63273))+P106(f326(f326(f286(a914),x63271),x63272))+~P106(f326(f326(f286(a914),x63273),x63272))
% 178.51/178.26 [6347]~P108(x63471)+~P106(f326(f326(f328(x63471),x63473),f326(f282(x63471),x63472)))+P106(f326(f326(f234(x63471),x63472),x63473))
% 178.51/178.26 [6348]~P108(x63481)+~P106(f326(f326(f328(x63481),x63482),f326(f300(x63481),x63483)))+P106(f326(f326(f234(x63481),x63482),x63483))
% 178.51/178.26 [6349]~P108(x63491)+~P106(f326(f326(f328(x63491),x63493),f326(f303(x63491),x63492)))+P106(f326(f326(f235(x63491),x63492),x63493))
% 178.51/178.26 [6350]~P108(x63501)+~P106(f326(f326(f328(x63501),x63502),f326(f281(x63501),x63503)))+P106(f326(f326(f235(x63501),x63502),x63503))
% 178.51/178.26 [6351]~P115(x63511)+~P106(f326(f326(f286(x63511),x63512),f326(f78(x63511),x63513)))+P106(f326(f326(f286(x63511),x63512),x63513))
% 178.51/178.26 [6425]~P106(f326(x64251,x64252))+P106(f326(x64251,f791(x64251)))+~P106(f326(f326(f328(x64253),x64252),f241(f922(x64253,a910))))
% 178.51/178.26 [6570]~P65(x65701)+P106(f326(f326(f235(x65701),f2(x65701)),f892(x65703,x65702,x65701)))+P106(f326(f326(f234(x65701),x65702),x65703))
% 178.51/178.26 [6571]~P66(x65711)+P106(f326(f326(f235(x65711),f2(x65711)),f899(x65713,x65712,x65711)))+P106(f326(f326(f234(x65711),x65712),x65713))
% 178.51/178.26 [6639]~P80(x66391)+~P106(f326(f326(f234(x66391),x66393),f326(f78(x66391),x66392)))+P106(f326(f326(f234(x66391),x66392),f326(f78(x66391),x66393)))
% 178.51/178.26 [6641]~P80(x66411)+~P106(f326(f326(f235(x66411),x66413),f326(f78(x66411),x66412)))+P106(f326(f326(f235(x66411),x66412),f326(f78(x66411),x66413)))
% 178.51/178.26 [6653]~P106(f326(f326(f235(a914),x66531),x66533))+~P106(f326(f326(f235(a914),x66533),x66532))+P106(f326(f326(f235(a914),f326(a112,x66531)),x66532))
% 178.51/178.26 [6681]~P125(x66811)+P106(f326(f326(f234(x66811),f326(f100(x66811),x66812)),f326(f100(x66811),x66813)))+~P106(f326(f326(f234(a914),x66812),x66813))
% 178.51/178.26 [6682]~P119(x66821)+P106(f326(f326(f234(x66821),f326(f102(x66821),x66822)),f326(f102(x66821),x66823)))+~P106(f326(f326(f234(a1),x66822),x66823))
% 178.51/178.26 [6684]~P119(x66841)+P106(f326(f326(f235(x66841),f326(f102(x66841),x66842)),f326(f102(x66841),x66843)))+~P106(f326(f326(f235(a1),x66842),x66843))
% 178.51/178.26 [6685]~P125(x66851)+P106(f326(f326(f235(x66851),f326(f100(x66851),x66852)),f326(f100(x66851),x66853)))+~P106(f326(f326(f235(a914),x66852),x66853))
% 178.51/178.26 [6691]~P109(x66911)+E(f326(f326(f110(f922(x66911,a910)),f326(f281(x66911),x66912)),f326(f301(x66911,x66912),x66913)),f326(f281(x66911),x66913))+~P106(f326(f326(f234(x66911),x66912),x66913))
% 178.51/178.26 [6721]~P80(x67211)+~P106(f326(f326(f234(x67211),x67213),x67212))+P106(f326(f326(f234(x67211),f326(f78(x67211),x67212)),f326(f78(x67211),x67213)))
% 178.51/178.26 [6723]~P96(x67231)+~P106(f326(f326(f234(x67231),x67233),x67232))+P106(f326(f326(f234(x67231),f326(f78(x67231),x67232)),f326(f78(x67231),x67233)))
% 178.51/178.26 [6724]~P80(x67241)+~P106(f326(f326(f235(x67241),x67243),x67242))+P106(f326(f326(f235(x67241),f326(f78(x67241),x67242)),f326(f78(x67241),x67243)))
% 178.51/178.26 [6758]~P109(x67581)+E(f326(f326(f110(f922(x67581,a910)),f326(f281(x67581),x67582)),f302(x67581,x67582,x67583)),f326(f300(x67581),x67583))+~P106(f326(f326(f234(x67581),x67582),x67583))
% 178.51/178.26 [6759]~P109(x67591)+E(f326(f326(f110(f922(x67591,a910)),f326(f300(x67591),x67592)),f305(x67591,x67592,x67593)),f326(f281(x67591),x67593))+~P106(f326(f326(f235(x67591),x67592),x67593))
% 178.51/178.26 [6760]~P109(x67601)+E(f326(f326(f110(f922(x67601,a910)),f326(f300(x67601),x67602)),f304(x67601,x67602,x67603)),f326(f300(x67601),x67603))+~P106(f326(f326(f234(x67601),x67602),x67603))
% 178.51/178.26 [6794]~P109(x67941)+E(f326(f326(f110(f922(x67941,a910)),f326(f301(x67941,x67942),x67943)),f326(f282(x67941),x67943)),f326(f282(x67941),x67942))+~P106(f326(f326(f234(x67941),x67942),x67943))
% 178.51/178.26 [6950]~P109(x69501)+E(f326(f326(f110(f922(x69501,a910)),f302(x69501,x69502,x69503)),f326(f303(x69501),x69503)),f326(f282(x69501),x69502))+~P106(f326(f326(f234(x69501),x69502),x69503))
% 178.51/178.26 [6951]~P109(x69511)+E(f326(f326(f110(f922(x69511,a910)),f305(x69511,x69512,x69513)),f326(f282(x69511),x69513)),f326(f303(x69511),x69512))+~P106(f326(f326(f235(x69511),x69512),x69513))
% 178.51/178.26 [6952]~P109(x69521)+E(f326(f326(f110(f922(x69521,a910)),f304(x69521,x69522,x69523)),f326(f303(x69521),x69523)),f326(f303(x69521),x69522))+~P106(f326(f326(f234(x69521),x69522),x69523))
% 178.51/178.26 [6971]P106(f326(x69711,x69712))+~P106(f326(f326(f234(a914),x69712),x69713))+P106(f326(f326(f328(a914),f424(x69711,x69713)),f302(a914,f2(a914),x69713)))
% 178.51/178.26 [7005]E(x70051,x70052)+~E(f326(f326(f164(x70053),x70051),f621(x70053,x70052,x70051)),f326(f326(f164(x70053),x70052),f621(x70053,x70052,x70051)))+~E(f326(f189(f915(x70053)),x70051),f326(f189(f915(x70053)),x70052))
% 178.51/178.26 [7010]~E(x70103,f326(f326(f36(a914),x70101),x70102))+~P106(f326(f326(f235(a914),f2(a914)),x70102))+P106(f326(f326(f235(a914),x70101),f326(f326(f80(a914),x70102),f326(a112,x70103))))
% 178.51/178.26 [7026]~P106(f326(x70261,x70263))+~P106(f326(f326(f234(a914),x70263),x70262))+P106(f326(f326(f328(a914),f423(x70261,x70262)),f302(a914,f2(a914),x70262)))
% 178.51/178.26 [7063]~P106(f326(x70631,x70633))+P106(f326(x70631,f426(x70631,x70632)))+~P106(f326(f326(f328(a914),x70633),f302(a914,f2(a914),x70632)))
% 178.51/178.26 [7081]~P125(x70813)+~P106(f326(f326(f234(x70813),f326(f100(x70813),x70811)),f326(f100(x70813),x70812)))+P106(f326(f326(f234(a914),x70811),x70812))
% 178.51/178.26 [7082]~P119(x70823)+~P106(f326(f326(f234(x70823),f326(f102(x70823),x70821)),f326(f102(x70823),x70822)))+P106(f326(f326(f234(a1),x70821),x70822))
% 178.51/178.26 [7084]~P125(x70843)+~P106(f326(f326(f235(x70843),f326(f100(x70843),x70841)),f326(f100(x70843),x70842)))+P106(f326(f326(f235(a914),x70841),x70842))
% 178.51/178.26 [7085]~P119(x70853)+~P106(f326(f326(f235(x70853),f326(f102(x70853),x70851)),f326(f102(x70853),x70852)))+P106(f326(f326(f235(a1),x70851),x70852))
% 178.51/178.26 [7102]~P125(x71021)+~P106(f326(f326(f235(x71021),f77(x71021)),x71022))+P106(f326(f326(f235(x71021),f77(x71021)),f326(f326(f243(x71021),x71022),f326(a112,x71023))))
% 178.51/178.26 [7104]~P80(x71041)+~P106(f326(f326(f234(x71041),f326(f78(x71041),x71043)),f326(f78(x71041),x71042)))+P106(f326(f326(f234(x71041),x71042),x71043))
% 178.51/178.26 [7105]~P96(x71051)+~P106(f326(f326(f234(x71051),f326(f78(x71051),x71053)),f326(f78(x71051),x71052)))+P106(f326(f326(f234(x71051),x71052),x71053))
% 178.51/178.26 [7106]~P80(x71061)+~P106(f326(f326(f235(x71061),f326(f78(x71061),x71063)),f326(f78(x71061),x71062)))+P106(f326(f326(f235(x71061),x71062),x71063))
% 178.51/178.26 [7130]P106(f326(x71301,x71302))+~P106(f326(x71301,f425(x71301,x71303)))+~P106(f326(f326(f328(a914),x71302),f302(a914,f2(a914),x71303)))
% 178.51/178.26 [7152]~P65(x71521)+P106(f326(f326(f235(x71521),f892(x71523,x71522,x71521)),f77(x71521)))+P106(f326(f326(f234(x71521),x71522),x71523))
% 178.51/178.26 [7171]~E(f45(a914,x71713,x71712),f45(a914,x71711,x71712))+E(f326(f326(f79(a914),x71711),f326(f326(f80(a914),x71712),f383(x71711,x71712,x71713))),x71713)+~P106(f326(f326(f234(a914),x71711),x71713))
% 178.51/178.26 [7227]E(f326(f326(f8(x72271,a914),x72272),x72273),f2(a914))+~P106(f326(f61(x72271),x72273))+P106(f326(f326(f328(x72271),f875(x72272,x72273,x72271)),x72273))
% 178.51/178.26 [7228]E(f326(f326(f11(x72281,a914),x72282),x72283),f77(a914))+~P106(f326(f61(x72281),x72283))+P106(f326(f326(f328(x72281),f807(x72282,x72283,x72281)),x72283))
% 178.51/178.26 [7250]~P109(x72501)+~P106(f326(f326(f234(x72501),x72502),x72503))+P106(f326(f326(f234(f922(x72501,a910)),f326(f281(x72501),x72502)),f326(f281(x72501),x72503)))
% 178.51/178.26 [7251]~P110(x72511)+~P106(f326(f326(f234(x72511),x72512),x72513))+P106(f326(f326(f234(f922(x72511,a910)),f326(f300(x72511),x72512)),f326(f300(x72511),x72513)))
% 178.51/178.26 [7252]~P109(x72521)+~P106(f326(f326(f234(x72521),x72523),x72522))+P106(f326(f326(f234(f922(x72521,a910)),f326(f303(x72521),x72522)),f326(f303(x72521),x72523)))
% 178.51/178.26 [7253]~P110(x72531)+~P106(f326(f326(f234(x72531),x72533),x72532))+P106(f326(f326(f234(f922(x72531,a910)),f326(f282(x72531),x72532)),f326(f282(x72531),x72533)))
% 178.51/178.26 [7254]~P109(x72541)+~P106(f326(f326(f235(x72541),x72542),x72543))+P106(f326(f326(f235(f922(x72541,a910)),f326(f281(x72541),x72542)),f326(f281(x72541),x72543)))
% 178.51/178.26 [7265]~P4(x72651)+P106(f326(f326(f234(x72651),x72652),f38(x72651,x72653)))+P106(f326(f326(f328(x72651),f385(x72653,x72652,x72651)),x72653))
% 178.51/178.26 [7271]~P80(x72711)+P106(f326(f326(f234(x72711),f326(f326(f3(x72711),x72712),x72713)),f2(x72711)))+~P106(f326(f326(f234(x72711),x72712),x72713))
% 178.51/178.26 [7272]~P80(x72721)+P106(f326(f326(f235(x72721),f326(f326(f3(x72721),x72722),x72723)),f2(x72721)))+~P106(f326(f326(f235(x72721),x72722),x72723))
% 178.51/178.26 [7314]P106(f326(x73141,x73142))+P106(f326(f326(f234(a914),f425(x73141,x73143)),x73143))+~P106(f326(f326(f328(a914),x73142),f302(a914,f2(a914),x73143)))
% 178.51/178.26 [7354]~E(f326(f326(f8(x73541,a914),x73542),x73543),f77(a914))+~P106(f326(f61(x73541),x73543))+P106(f326(f326(f328(x73541),f874(x73542,x73543,x73541)),x73543))
% 178.51/178.26 [7355]~P106(f326(x73551,x73553))+P106(f326(f326(f234(a914),f426(x73551,x73552)),x73552))+~P106(f326(f326(f328(a914),x73553),f302(a914,f2(a914),x73552)))
% 178.51/178.26 [7395]~P4(x73951)+P106(f326(f326(f328(x73951),f754(x73953,x73952,x73951)),x73952))+P106(f326(f326(f234(x73951),f37(x73951,x73952)),x73953))
% 178.51/178.26 [7429]~E(f326(f326(f8(x74291,a914),x74292),x74293),f326(a112,f2(a914)))+~P106(f326(f61(x74291),x74293))+P106(f326(f326(f328(x74291),f876(x74292,x74293,x74291)),x74293))
% 178.51/178.26 [7440]E(x74401,f2(a914))+P106(f326(x74402,f45(a914,x74403,x74401)))+P106(f326(f326(f235(a914),f378(x74401,x74403,x74402)),x74401))
% 178.51/178.26 [7549]~P106(f326(x75491,x75492))+P106(f326(x75491,f45(a914,x75492,x75493)))+P106(f326(f326(f235(a914),f378(x75493,x75492,x75491)),x75493))
% 178.51/178.26 [7663]E(x76631,f113(x76632))+~P106(f326(f326(f328(f915(x76632)),x76631),f161(x76632,x76633)))+P106(f326(f326(f328(x76632),f690(x76633,x76631,x76632)),x76633))
% 178.51/178.26 [7686]~P109(x76861)+E(f326(f326(f110(f922(x76861,a910)),f326(f326(f308(x76861),x76862),f188(f922(x76861,a910)))),f305(x76861,x76862,x76863)),f326(f301(x76861,x76862),x76863))+~P106(f326(f326(f235(x76861),x76862),x76863))
% 178.51/178.26 [7708]~P109(x77081)+E(f326(f326(f110(f922(x77081,a910)),f326(f326(f308(x77081),x77082),f188(f922(x77081,a910)))),f304(x77081,x77082,x77083)),f302(x77081,x77082,x77083))+~P106(f326(f326(f234(x77081),x77082),x77083))
% 178.51/178.26 [7814]~P109(x78141)+P106(f326(f326(f234(x78141),x78142),x78143))+~P106(f326(f326(f234(f922(x78141,a910)),f326(f303(x78141),x78143)),f326(f303(x78141),x78142)))
% 178.51/178.26 [7815]~P110(x78151)+P106(f326(f326(f234(x78151),x78152),x78153))+~P106(f326(f326(f234(f922(x78151,a910)),f326(f282(x78151),x78153)),f326(f282(x78151),x78152)))
% 178.51/178.26 [7816]~P109(x78161)+P106(f326(f326(f234(x78161),x78162),x78163))+~P106(f326(f326(f234(f922(x78161,a910)),f326(f281(x78161),x78162)),f326(f281(x78161),x78163)))
% 178.51/178.26 [7817]~P110(x78171)+P106(f326(f326(f234(x78171),x78172),x78173))+~P106(f326(f326(f234(f922(x78171,a910)),f326(f300(x78171),x78172)),f326(f300(x78171),x78173)))
% 178.51/178.26 [7818]~P109(x78181)+P106(f326(f326(f235(x78181),x78182),x78183))+~P106(f326(f326(f235(f922(x78181,a910)),f326(f281(x78181),x78182)),f326(f281(x78181),x78183)))
% 178.51/178.26 [7841]~P80(x78411)+~P106(f326(f326(f234(x78411),f326(f326(f3(x78411),x78412),x78413)),f2(x78411)))+P106(f326(f326(f234(x78411),x78412),x78413))
% 178.51/178.26 [7842]~P80(x78421)+~P106(f326(f326(f235(x78421),f326(f326(f3(x78421),x78422),x78423)),f2(x78421)))+P106(f326(f326(f235(x78421),x78422),x78423))
% 178.51/178.26 [7996]E(x79961,f2(a914))+~E(f326(f142(a914,a914,f79(a914),x79962),x79963),f2(a914))+~P106(f326(f326(f328(a914),x79961),f326(f172(a914),x79963)))
% 178.51/178.26 [8000]~P4(x80001)+~P106(f326(f326(f234(x80001),f754(x80003,x80002,x80001)),x80003))+P106(f326(f326(f234(x80001),f37(x80001,x80002)),x80003))
% 178.51/178.26 [8151]P106(f326(f326(f234(a1),f2(a1)),f364(x81511,x81512,x81513)))+P106(f326(f326(x81512,f326(f326(f36(a1),x81511),x81513)),f45(a1,x81511,x81513)))+~P106(f326(f326(f235(a1),f2(a1)),x81513))
% 178.51/178.26 [8239]E(x82391,x82392)+~E(f326(f189(f915(x82393)),x82391),f326(f189(f915(x82393)),x82392))+~P106(f326(f326(f256(x82393,x82393,a910),a323),f662(x82393,x82391,x82392)))
% 178.51/178.26 [8306]~P37(x83062,x83063)+E(x83061,f188(f922(x83062,a910)))+~P106(f326(f326(f234(f922(x83062,a910)),x83061),f326(f284(x83062,x83062,x83063),x83061)))
% 178.51/178.26 [8335]~P66(x83351)+~P106(f326(f326(f234(x83351),x83352),f326(f326(f79(x83351),x83353),f899(x83353,x83352,x83351))))+P106(f326(f326(f234(x83351),x83352),x83353))
% 178.51/178.26 [8370]P52(x83701,x83702,x83703)+P106(f326(f326(f328(x83701),f574(x83703,x83702,x83701)),x83702))+P106(f326(f326(f328(f921(x83701,x83701)),f575(x83703,x83702,x83701)),x83703))
% 178.51/178.26 [8391]P106(f326(f326(x83912,f326(f326(f36(a1),x83911),x83913)),f45(a1,x83911,x83913)))+~P106(f326(f326(f235(a1),f2(a1)),x83913))+P106(f326(f326(f235(a1),f364(x83911,x83912,x83913)),x83913))
% 178.51/178.26 [8415]E(f326(f309(a914,a914,f326(f326(f9(a914,a914,a914),f3(a914)),x84151)),f326(f301(a914,x84152),x84153)),f188(f922(a914,a910)))+P106(f326(f326(f235(a914),x84151),x84153))+P106(f326(f326(f235(a914),x84152),x84153))
% 178.51/178.26 [8526]E(f326(f309(a914,a914,f326(f326(f9(a914,a914,a914),f3(a914)),x85261)),f326(f301(a914,x85262),x85263)),f326(f326(f308(a914),f2(a914)),f188(f922(a914,a910))))+P106(f326(f326(f235(a914),x85261),x85263))+~P106(f326(f326(f235(a914),x85262),x85263))
% 178.51/178.26 [8540]~P109(x85401)+E(f149(x85401,x85401,f7(x85401),x85402,x85403),x85403)+~P106(f326(f326(f328(x85401),x85402),f326(f172(x85401),x85403)))
% 178.51/178.26 [8553]P24(x85531,x85531,x85532,x85533)+~P106(f326(f61(x85531),x85533))+~P106(f326(f326(f234(f922(x85531,a910)),x85533),f326(f309(x85531,x85531,x85532),x85533)))
% 178.51/178.26 [8578]E(f326(f326(f79(a1),f326(f326(f80(a1),x85781),f365(x85782,x85783,x85781))),f364(x85782,x85783,x85781)),x85782)+P106(f326(f326(x85783,f326(f326(f36(a1),x85782),x85781)),f45(a1,x85782,x85781)))+~P106(f326(f326(f235(a1),f2(a1)),x85781))
% 178.51/178.26 [8813]~P106(f326(f326(x88131,f365(x88132,x88131,x88133)),f364(x88132,x88131,x88133)))+P106(f326(f326(x88131,f326(f326(f36(a1),x88132),x88133)),f45(a1,x88132,x88133)))+~P106(f326(f326(f235(a1),f2(a1)),x88133))
% 178.51/178.26 [9706]~P106(f326(f61(x97061),x97062))+~P106(f326(f326(f328(x97061),x97063),x97062))+P106(f326(f326(f235(a914),f326(f35(x97061),f326(f326(f3(f922(x97061,a910)),x97062),f326(f326(f308(x97061),x97063),f188(f922(x97061,a910)))))),f326(f35(x97061),x97062)))
% 178.51/178.26 [10298]P52(x102981,x102982,x102983)+~P106(f326(f326(f256(x102981,x102981,a910),f326(f326(f9(x102981,f922(x102981,a910),f922(x102981,a910)),f326(f326(f10(f922(a910,a910),f922(f922(x102981,a910),f922(x102981,a910)),x102981),f10(a910,a910,x102981)),f326(f326(f10(a910,f922(a910,a910),x102981),a325),f326(f326(f9(x102981,f922(x102981,a910),a910),f328(x102981)),x102982)))),f326(f326(f9(x102981,f922(x102981,a910),a910),f328(x102981)),x102982))),f575(x102983,x102982,x102981)))+P106(f326(f326(f328(x102981),f574(x102983,x102982,x102981)),x102982))
% 178.51/178.26 [5660]~P122(x56602)+E(x56601,f2(x56602))+E(f326(f326(f289(x56602),x56603),f326(f78(x56602),x56601)),f326(f78(x56602),f326(f326(f289(x56602),x56603),x56601)))
% 178.51/178.26 [5799]~E(x57993,f188(f922(x57991,a910)))+~E(x57992,f188(f922(x57991,a910)))+E(f326(f326(f110(f922(x57991,a910)),x57992),x57993),f188(f922(x57991,a910)))
% 178.51/178.26 [5857]~E(x58573,f2(a914))+~P106(f326(x58571,f2(a914)))+P106(f326(x58571,f326(f326(f36(a914),x58572),x58573)))
% 178.51/178.26 [6009]~P66(x60092)+E(x60091,f2(x60092))+E(f326(f326(f289(x60092),f326(f75(x60092),x60093)),f326(f75(x60092),x60091)),f326(f75(x60092),f326(f326(f289(x60092),x60093),x60091)))
% 178.51/178.26 [6177]~P106(f326(f61(x61771),x61773))+E(f326(f35(x61771),f326(f326(f308(x61771),x61772),x61773)),f326(a112,f326(f35(x61771),x61773)))+P106(f326(f326(f328(x61771),x61772),x61773))
% 178.51/178.26 [6253]~E(x62532,f2(a914))+P106(f326(x62531,f2(a914)))+~P106(f326(x62531,f326(f326(f36(a914),x62533),x62532)))
% 178.51/178.26 [6270]~P106(f326(f61(x62701),x62703))+E(f326(f35(x62701),f326(f326(f308(x62701),x62702),x62703)),f326(f35(x62701),x62703))+~P106(f326(f326(f328(x62701),x62702),x62703))
% 178.51/178.26 [6307]~P106(f326(f61(x63071),x63073))+E(f326(f35(x63071),f326(f326(f308(x63071),x63072),x63073)),f326(f326(f79(a914),f77(a914)),f326(f35(x63071),x63073)))+P106(f326(f326(f328(x63071),x63072),x63073))
% 178.51/178.26 [6314]~P61(x63141)+E(f326(f326(f36(x63141),x63142),f326(f78(x63141),x63143)),f326(f78(x63141),f326(f326(f36(x63141),x63142),x63143)))+~P106(f326(f326(f286(x63141),x63143),x63142))
% 178.51/178.26 [6426]E(f326(f326(f79(a914),x64261),f877(x64261,x64262,x64263)),x64262)+~P106(f326(x64263,f2(a914)))+P106(f326(x64263,f326(f326(f3(a914),x64262),x64261)))
% 178.51/178.26 [6427]E(f326(f326(f79(a914),x64271),f878(x64271,x64272,x64273)),x64272)+~P106(f326(x64273,f2(a914)))+P106(f326(x64273,f326(f326(f3(a914),x64272),x64271)))
% 178.51/178.26 [6451]~P61(x64511)+E(f326(f326(f36(x64511),f326(f78(x64511),x64512)),x64513),f326(f78(x64511),f326(f326(f36(x64511),x64512),x64513)))+~P106(f326(f326(f286(x64511),x64513),x64512))
% 178.51/178.26 [6475]~P4(x64751)+~P106(f326(f61(x64751),x64753))+E(f326(f326(f64(x64751,x64751,f110(x64751)),x64752),x64753),f326(f326(f110(x64751),x64752),f37(x64751,x64753)))
% 178.51/178.26 [6476]~P4(x64761)+~P106(f326(f61(x64761),x64763))+E(f326(f326(f64(x64761,x64761,f101(x64761)),x64762),x64763),f326(f326(f101(x64761),x64762),f38(x64761,x64763)))
% 178.51/178.26 [6482]~P95(x64821)+~E(f326(f103(x64821),x64822),f326(f103(x64821),x64823))+P27(x64821,f326(f103(x64821),f326(f326(f79(a1),x64822),f326(f78(a1),x64823))))
% 178.51/178.26 [6491]~P141(x64911)+E(f326(f326(f3(x64911),f326(f100(x64911),x64912)),f326(f100(x64911),x64913)),f326(f100(x64911),f326(f326(f3(a914),x64912),x64913)))+~P106(f326(f326(f234(a914),x64913),x64912))
% 178.51/178.26 [6497]~P115(x64971)+~P106(f326(f326(f286(x64971),x64972),x64973))+P106(f326(f326(f286(x64971),f326(f78(x64971),x64972)),x64973))
% 178.51/178.26 [6581]E(f326(f326(f79(a914),x65811),f877(x65811,x65812,x65813)),x65812)+P106(f326(f326(f235(a914),x65812),x65811))+P106(f326(x65813,f326(f326(f3(a914),x65812),x65811)))
% 178.51/178.26 [6582]E(f326(f326(f79(a914),x65821),f878(x65821,x65822,x65823)),x65822)+P106(f326(f326(f235(a914),x65822),x65821))+P106(f326(x65823,f326(f326(f3(a914),x65822),x65821)))
% 178.51/178.26 [6598]~P119(x65981)+E(f326(f326(f80(x65981),f326(f75(x65981),x65982)),x65983),f326(f75(x65981),f326(f326(f80(x65981),x65982),x65983)))+~P106(f326(f326(f234(x65981),f2(x65981)),x65983))
% 178.51/178.26 [6599]~P65(x65991)+E(f326(f326(f289(x65991),f326(f75(x65991),x65992)),x65993),f326(f75(x65991),f326(f326(f289(x65991),x65992),x65993)))+~P106(f326(f326(f235(x65991),f2(x65991)),x65993))
% 178.51/178.26 [6607]~P78(x66071)+~P106(f326(f61(x66071),x66073))+E(f326(f326(f64(x66071,x66071,f110(x66071)),x66072),x66073),f12(x66071,f326(f326(f308(x66071),x66072),x66073)))
% 178.51/178.26 [6608]~P78(x66081)+~P106(f326(f61(x66081),x66083))+E(f326(f326(f64(x66081,x66081,f101(x66081)),x66082),x66083),f13(x66081,f326(f326(f308(x66081),x66082),x66083)))
% 178.51/178.26 [6609]~P109(x66091)+~P106(f326(f61(x66091),x66093))+E(f326(f326(f64(x66091,x66091,f232(x66091)),x66092),x66093),f16(x66091,f326(f326(f308(x66091),x66092),x66093)))
% 178.51/178.26 [6610]~P109(x66101)+~P106(f326(f61(x66101),x66103))+E(f326(f326(f64(x66101,x66101,f233(x66101)),x66102),x66103),f17(x66101,f326(f326(f308(x66101),x66102),x66103)))
% 178.51/178.26 [6655]E(x66551,f113(x66552))+~E(f179(x66552,x66553),f113(f915(x66552)))+~P106(f326(f326(f328(f915(x66552)),x66551),f326(f172(f915(x66552)),x66553)))
% 178.51/178.26 [6699]~P106(f326(f137(x66991),x66993))+P106(f326(f326(f328(x66991),x66992),f326(f172(x66991),x66993)))+P106(f326(f137(x66991),f326(f326(f151(x66991),x66992),x66993)))
% 178.51/178.26 [6710]~P97(x67101)+~P106(f326(f61(x67101),x67103))+E(f326(f63(x67101,f80(x67101)),f326(f326(f308(x67101),x67102),x67103)),f326(f326(f64(x67101,x67101,f80(x67101)),x67102),x67103))
% 178.51/178.26 [6732]~P109(x67321)+~P106(f326(f61(x67321),x67323))+E(f14(x67321,f232(x67321),f326(f326(f308(x67321),x67322),x67323)),f326(f326(f64(x67321,x67321,f232(x67321)),x67322),x67323))
% 178.51/178.26 [6733]~P109(x67331)+~P106(f326(f61(x67331),x67333))+E(f15(x67331,f233(x67331),f326(f326(f308(x67331),x67332),x67333)),f326(f326(f64(x67331,x67331,f233(x67331)),x67332),x67333))
% 178.51/178.26 [6735]P106(f326(x67351,f2(a914)))+~P106(f326(f326(f235(a914),x67352),x67353))+~P106(f326(x67351,f326(f326(f3(a914),x67352),x67353)))
% 178.51/178.26 [6755]~P87(x67551)+P106(f326(f326(f234(x67551),x67552),x67553))+~P106(f326(f326(f234(x67551),f326(f75(x67551),x67552)),x67553))
% 178.51/178.26 [6756]~P119(x67561)+P106(f326(f326(f235(x67561),x67562),x67563))+~P106(f326(f326(f235(x67561),f326(f75(x67561),x67562)),x67563))
% 178.51/178.26 [6757]~P115(x67571)+P106(f326(f326(f286(x67571),x67572),x67573))+~P106(f326(f326(f286(x67571),f326(f78(x67571),x67572)),x67573))
% 178.51/178.26 [6774]E(x67741,f113(x67742))+E(f326(f141(x67742),f326(f326(f138(x67742),x67743),x67741)),f326(f326(f164(x67742),x67741),x67743))+~P106(f326(f326(f235(a914),x67743),f326(f189(f915(x67742)),x67741)))
% 178.51/178.26 [6827]~P106(f326(x68271,x68273))+P106(f326(x68271,f474(x68271,x68272)))+~P106(f326(f326(f328(a914),x68273),f326(f301(a914,f2(a914)),x68272)))
% 178.51/178.26 [6847]P106(f326(x68471,x68472))+~P106(f326(f326(f235(a914),x68472),x68473))+P106(f326(f326(f328(a914),f473(x68471,x68473)),f326(f301(a914,f2(a914)),x68473)))
% 178.51/178.26 [6862]~P125(x68621)+~P106(f326(f326(f234(x68621),f77(x68621)),x68622))+P106(f326(f326(f234(x68621),f77(x68621)),f326(f326(f243(x68621),x68622),x68623)))
% 178.51/178.26 [6864]~P125(x68641)+~P106(f326(f326(f234(x68641),f2(x68641)),x68642))+P106(f326(f326(f234(x68641),f2(x68641)),f326(f326(f243(x68641),x68642),x68643)))
% 178.51/178.26 [6866]~P125(x68661)+~P106(f326(f326(f235(x68661),f2(x68661)),x68662))+P106(f326(f326(f235(x68661),f2(x68661)),f326(f326(f243(x68661),x68662),x68663)))
% 178.51/178.26 [6891]~P106(f326(x68911,x68913))+~P106(f326(f326(f235(a914),x68913),x68912))+P106(f326(f326(f328(a914),f444(x68911,x68912)),f326(f301(a914,f2(a914)),x68912)))
% 178.51/178.26 [6899]P106(f326(f61(x68991),x68992))+~P106(f326(f61(x68991),x68993))+~P106(f326(f326(f234(f922(x68991,a910)),x68992),x68993))
% 178.51/178.26 [6906]~P106(f326(f326(f286(a914),x69061),x69062))+~P106(f326(f326(f286(a914),x69061),x69063))+P106(f326(f326(f286(a914),x69061),f326(f326(f3(a914),x69062),x69063)))
% 178.51/178.26 [6907]P106(f326(x69071,x69072))+~P106(f326(x69071,f475(x69071,x69073)))+~P106(f326(f326(f328(a914),x69072),f326(f301(a914,f2(a914)),x69073)))
% 178.51/178.26 [6918]E(x69181,f2(a914))+P106(f326(x69182,f377(x69181,x69183,x69182)))+~P106(f326(x69182,f326(f326(f36(a914),x69183),x69181)))
% 178.51/178.26 [6926]~P126(x69262)+E(x69261,f2(x69262))+~E(f326(f326(f79(x69262),f326(f326(f80(x69262),x69263),x69263)),f326(f326(f80(x69262),x69261),x69261)),f2(x69262))
% 178.51/178.26 [6927]~P126(x69272)+E(x69271,f2(x69272))+~E(f326(f326(f79(x69272),f326(f326(f80(x69272),x69271),x69271)),f326(f326(f80(x69272),x69273),x69273)),f2(x69272))
% 178.51/178.26 [6972]E(x69721,f2(a914))+~P106(f326(x69722,f373(x69721,x69723,x69722)))+P106(f326(x69722,f326(f326(f36(a914),x69723),x69721)))
% 178.51/178.26 [6977]~P109(x69771)+~P12(x69771,x69773)+P12(x69771,f326(f326(f148(x69771,x69771,f7(x69771)),x69772),x69773))
% 178.51/178.26 [7019]P106(f326(x70191,f377(x70192,x70193,x70191)))+P106(f326(x70191,f2(a914)))+~P106(f326(x70191,f326(f326(f36(a914),x70193),x70192)))
% 178.51/178.26 [7025]~P95(x70251)+E(f326(f103(x70251),x70252),f326(f103(x70251),x70253))+~P27(x70251,f326(f103(x70251),f326(f326(f79(a1),x70252),f326(f78(a1),x70253))))
% 178.51/178.26 [7088]E(x70881,f2(a1))+E(x70882,f2(a1))+~P106(f326(f49(x70882,x70882),f326(f326(f251(a1,a1),x70883),x70881)))
% 178.51/178.26 [7089]E(x70891,f77(a1))+E(x70892,f2(a1))+~P106(f326(f49(x70892,x70892),f326(f326(f251(a1,a1),x70891),x70893)))
% 178.51/178.26 [7103]P106(f326(x71031,x71032))+P106(f326(f326(f235(a914),f475(x71031,x71033)),x71033))+~P106(f326(f326(f328(a914),x71032),f326(f301(a914,f2(a914)),x71033)))
% 178.51/178.26 [7126]~P106(f326(x71261,f877(x71263,x71262,x71261)))+~P106(f326(x71261,f2(a914)))+P106(f326(x71261,f326(f326(f3(a914),x71262),x71263)))
% 178.51/178.26 [7127]~P106(f326(x71271,f878(x71273,x71272,x71271)))+~P106(f326(x71271,f2(a914)))+P106(f326(x71271,f326(f326(f3(a914),x71272),x71273)))
% 178.51/178.26 [7128]~P106(f326(x71281,f373(x71283,x71282,x71281)))+~P106(f326(x71281,f2(a914)))+P106(f326(x71281,f326(f326(f36(a914),x71282),x71283)))
% 178.51/178.26 [7148]~P106(f326(x71481,x71483))+P106(f326(f326(f235(a914),f474(x71481,x71482)),x71482))+~P106(f326(f326(f328(a914),x71483),f326(f301(a914,f2(a914)),x71482)))
% 178.51/178.26 [7149]E(f326(f326(f3(a914),f326(f326(f3(a914),x71491),x71492)),f326(f326(f3(a914),x71493),x71492)),f326(f326(f3(a914),x71491),x71493))+~P106(f326(f326(f234(a914),x71492),x71491))+~P106(f326(f326(f234(a914),x71492),x71493))
% 178.51/178.26 [7184]~P80(x71841)+~P106(f326(f326(f234(x71841),f326(f78(x71841),x71843)),x71842))+P106(f326(f326(f234(x71841),f326(f78(x71841),x71842)),x71843))
% 178.51/178.26 [7186]~P87(x71861)+~P106(f326(f326(f234(x71861),f326(f75(x71861),x71862)),x71863))+P106(f326(f326(f234(x71861),f326(f78(x71861),x71862)),x71863))
% 178.51/178.26 [7188]~P80(x71881)+~P106(f326(f326(f235(x71881),f326(f78(x71881),x71883)),x71882))+P106(f326(f326(f235(x71881),f326(f78(x71881),x71882)),x71883))
% 178.51/178.26 [7189]~P119(x71891)+~P106(f326(f326(f235(x71891),f326(f75(x71891),x71892)),x71893))+P106(f326(f326(f235(x71891),f326(f78(x71891),x71892)),x71893))
% 178.51/178.26 [7222]~P106(f326(x72223,f877(x72222,x72221,x72223)))+P106(f326(f326(f235(a914),x72221),x72222))+P106(f326(x72223,f326(f326(f3(a914),x72221),x72222)))
% 178.51/178.26 [7223]~P106(f326(x72233,f878(x72232,x72231,x72233)))+P106(f326(f326(f235(a914),x72231),x72232))+P106(f326(x72233,f326(f326(f3(a914),x72231),x72232)))
% 178.51/178.26 [7275]~E(f792(x72753,x72752,x72751),f787(x72753,x72752,x72751))+E(f326(f326(f101(f922(x72751,a910)),x72752),f37(f922(x72751,a910),x72753)),f188(f922(x72751,a910)))+P106(f326(f326(f328(f922(x72751,a910)),x72752),x72753))
% 178.51/178.26 [7283]~P106(f326(f61(x72831),x72833))+P106(f326(f61(x72831),f38(f922(x72831,a910),x72832)))+~P106(f326(f326(f328(f922(x72831,a910)),x72833),x72832))
% 178.51/178.26 [7343]~P109(x73431)+E(f326(f326(f110(f922(x73431,a910)),f326(f301(x73431,x73432),x73433)),f326(f326(f308(x73431),x73433),f188(f922(x73431,a910)))),f302(x73431,x73432,x73433))+~P106(f326(f326(f234(x73431),x73432),x73433))
% 178.51/178.26 [7344]E(x73441,f2(a914))+P106(f326(f326(f235(a914),f374(x73441,x73443,x73442)),x73441))+P106(f326(x73442,f326(f326(f36(a914),x73443),x73441)))
% 178.51/178.26 [7373]P106(f326(f326(f235(a914),f326(f189(f915(x73731)),x73732)),f784(x73733,x73731)))+~P106(f326(f61(f915(x73731)),x73733))+~P106(f326(f326(f328(f915(x73731)),x73732),x73733))
% 178.51/178.26 [7379]E(x73791,x73792)+~P106(f326(f326(f234(f922(x73793,a910)),x73791),x73792))+P106(f326(f326(f235(f922(x73793,a910)),x73791),x73792))
% 178.51/178.26 [7392]E(x73921,x73922)+~E(f326(f189(f915(x73923)),x73921),f326(f189(f915(x73923)),x73922))+P106(f326(f326(f235(a914),f621(x73923,x73921,x73922)),f326(f189(f915(x73923)),x73922)))
% 178.51/178.26 [7441]P7(x74411,x74412,x74413)+~E(f326(f263(x74411,x74411),x74413),x74412)+~E(f326(f326(f288(x74411,x74411,x74411),f326(f285(x74411,x74411),x74413)),x74413),x74413)
% 178.51/178.26 [7518]~P106(f326(x75181,f2(a914)))+P106(f326(f326(f235(a914),f374(x75183,x75182,x75181)),x75183))+P106(f326(x75181,f326(f326(f36(a914),x75182),x75183)))
% 178.51/178.26 [7528]~P109(x75281)+E(f326(f326(f110(f922(x75281,a910)),f305(x75281,x75282,x75283)),f326(f326(f308(x75281),x75283),f188(f922(x75281,a910)))),f304(x75281,x75282,x75283))+~P106(f326(f326(f235(x75281),x75282),x75283))
% 178.51/178.26 [7620]~P106(f326(f61(x76201),x76203))+P106(f326(f326(f234(a914),f326(f35(x76201),x76202)),f326(f35(x76201),x76203)))+~P106(f326(f326(f234(f922(x76201,a910)),x76202),x76203))
% 178.51/178.26 [7621]~P106(f326(f61(x76211),x76213))+P106(f326(f326(f235(a914),f326(f35(x76211),x76212)),f326(f35(x76211),x76213)))+~P106(f326(f326(f235(f922(x76211,a910)),x76212),x76213))
% 178.51/178.26 [7751]E(x77511,x77512)+~P106(f326(f326(f234(f922(x77513,a910)),x77512),x77511))+~P106(f326(f326(f234(f922(x77513,a910)),x77511),x77512))
% 178.51/178.26 [7754]~P109(x77541)+P12(x77541,x77542)+~P12(x77541,f326(f326(f148(x77541,x77541,f7(x77541)),x77543),x77542))
% 178.51/178.26 [7823]~P106(f326(f326(f235(a914),x78233),x78232))+~P106(f326(f326(f235(a914),x78233),x78231))+P106(f326(f326(f235(a914),f326(f326(f3(a914),x78231),x78232)),f326(f326(f3(a914),x78231),x78233)))
% 178.51/178.26 [7824]~P106(f326(f326(f234(a914),x78242),x78241))+~P106(f326(f326(f235(a914),x78241),x78243))+P106(f326(f326(f235(a914),f326(f326(f3(a914),x78241),x78242)),f326(f326(f3(a914),x78243),x78242)))
% 178.51/178.26 [7839]~P106(f326(f326(f235(a1),x78392),f2(a1)))+~P106(f326(f326(f234(a1),x78393),x78391))+P106(f326(f326(f234(a1),f326(f326(f36(a1),x78391),x78392)),f326(f326(f36(a1),x78393),x78392)))
% 178.51/178.26 [7856]~P106(f326(f326(f235(a914),f2(a914)),x78563))+~P106(f326(f326(f234(a914),x78563),x78562))+P106(f326(f326(f234(a914),f326(f326(f36(a914),x78561),x78562)),f326(f326(f36(a914),x78561),x78563)))
% 178.51/178.26 [7857]~P106(f326(f326(f235(a1),f2(a1)),x78572))+~P106(f326(f326(f234(a1),x78571),x78573))+P106(f326(f326(f234(a1),f326(f326(f36(a1),x78571),x78572)),f326(f326(f36(a1),x78573),x78572)))
% 178.51/178.26 [7861]~P106(f326(f326(f235(a914),f2(a914)),x78612))+~P106(f326(f326(f235(a914),x78611),x78613))+P106(f326(f326(f235(a914),f326(f326(f80(a914),x78611),x78612)),f326(f326(f80(a914),x78613),x78612)))
% 178.51/178.26 [7862]~P106(f326(f326(f235(a914),f2(a914)),x78621))+~P106(f326(f326(f235(a914),x78622),x78623))+P106(f326(f326(f235(a914),f326(f326(f80(a914),x78621),x78622)),f326(f326(f80(a914),x78621),x78623)))
% 178.51/178.26 [7863]~P106(f326(f326(f235(a1),f2(a1)),x78631))+~P106(f326(f326(f235(a1),x78632),x78633))+P106(f326(f326(f235(a1),f326(f326(f80(a1),x78631),x78632)),f326(f326(f80(a1),x78631),x78633)))
% 178.51/178.26 [7910]E(x79101,f2(a914))+E(f326(f326(f79(a914),f326(f326(f80(a914),x79101),f373(x79101,x79102,x79103))),f374(x79101,x79102,x79103)),x79102)+P106(f326(x79103,f326(f326(f36(a914),x79102),x79101)))
% 178.51/178.26 [7969]E(f326(f326(f79(a914),f326(f326(f80(a914),x79691),f373(x79691,x79692,x79693))),f374(x79691,x79692,x79693)),x79692)+~P106(f326(x79693,f2(a914)))+P106(f326(x79693,f326(f326(f36(a914),x79692),x79691)))
% 178.51/178.26 [7987]~P106(f326(f61(x79871),x79873))+P106(f326(f326(f328(x79871),f883(x79872,x79873,x79871)),x79873))+P106(f326(f326(f235(a914),f2(a914)),f326(f326(f11(x79871,a914),x79872),x79873)))
% 178.51/178.26 [7988]~P106(f326(f61(x79881),x79883))+P106(f326(f326(f328(x79881),f896(x79882,x79883,x79881)),x79883))+P106(f326(f326(f235(a914),f2(a914)),f326(f326(f11(x79881,a914),x79882),x79883)))
% 178.51/178.26 [8274]E(x82741,f188(f922(x82742,a910)))+E(x82741,f326(f326(f308(x82742),x82743),f188(f922(x82742,a910))))+~P106(f326(f326(f234(f922(x82742,a910)),x82741),f326(f326(f308(x82742),x82743),f188(f922(x82742,a910)))))
% 178.51/178.26 [8307]~P106(f326(f326(f235(a914),f77(a914)),x83073))+P106(f326(f326(f234(a914),x83071),x83072))+~P106(f326(f326(f286(a914),f326(f326(f243(a914),x83073),x83071)),f326(f326(f243(a914),x83073),x83072)))
% 178.51/178.26 [8309]~P106(f326(f326(f235(a914),f2(a914)),x83093))+P106(f326(f326(f234(a914),x83091),x83092))+~P106(f326(f326(f234(a914),f326(f326(f80(a914),x83093),x83091)),f326(f326(f80(a914),x83093),x83092)))
% 178.51/178.26 [8310]~P106(f326(f326(f235(a914),f2(a914)),x83103))+P106(f326(f326(f234(a914),x83101),x83102))+~P106(f326(f326(f234(a914),f326(f326(f80(a914),x83101),x83103)),f326(f326(f80(a914),x83102),x83103)))
% 178.51/178.26 [8312]~P106(f326(f326(f235(a914),f2(a914)),x83123))+P106(f326(f326(f235(a914),x83121),x83122))+~P106(f326(f326(f235(a914),f326(f326(f243(a914),x83123),x83121)),f326(f326(f243(a914),x83123),x83122)))
% 178.51/178.26 [8351]~E(f326(f326(f101(f922(x83511,a910)),f787(x83513,x83512,x83511)),f792(x83513,x83512,x83511)),f188(f922(x83511,a910)))+E(f326(f326(f101(f922(x83511,a910)),x83512),f37(f922(x83511,a910),x83513)),f188(f922(x83511,a910)))+P106(f326(f326(f328(f922(x83511,a910)),x83512),x83513))
% 178.51/178.26 [8365]E(x83651,f113(x83652))+~E(f326(f142(f915(x83652),f915(x83652),f134(x83652),f113(x83652)),x83653),f113(x83652))+~P106(f326(f326(f328(f915(x83652)),x83651),f326(f172(f915(x83652)),x83653)))
% 178.51/178.26 [8420]E(x84201,f188(f922(f922(x84202,a910),a910)))+P106(f326(f326(f328(f922(x84202,a910)),f388(x84203,x84201,x84202)),x84201))+P106(f326(f326(f234(f922(x84202,a910)),f38(f922(x84202,a910),x84201)),x84203))
% 178.51/178.26 [8426]~P70(x84261)+~P75(x84261)+E(f326(f326(f8(a1,x84261),f326(f326(f10(a914,x84261,a1),x84262),a104)),f326(f309(a914,a1,f100(a1)),x84263)),f326(f326(f8(a914,x84261),x84262),x84263))
% 178.51/178.26 [8427]~P70(x84271)+~P75(x84271)+E(f326(f326(f11(a1,x84271),f326(f326(f10(a914,x84271,a1),x84272),a104)),f326(f309(a914,a1,f100(a1)),x84273)),f326(f326(f11(a914,x84271),x84272),x84273))
% 178.51/178.26 [8469]~P106(f326(f61(x84691),x84693))+~P106(f326(f326(f235(a914),f2(a914)),f326(x84692,f883(x84692,x84693,x84691))))+P106(f326(f326(f235(a914),f2(a914)),f326(f326(f11(x84691,a914),x84692),x84693)))
% 178.51/178.26 [8470]~P106(f326(f61(x84701),x84703))+~P106(f326(f326(f235(a914),f2(a914)),f326(x84702,f896(x84702,x84703,x84701))))+P106(f326(f326(f235(a914),f2(a914)),f326(f326(f11(x84701,a914),x84702),x84703)))
% 178.51/178.26 [8506]~P64(x85062)+E(x85061,f77(x85062))+E(f326(f326(f289(x85062),f326(f326(f3(x85062),f326(f326(f243(x85062),x85061),x85063)),f77(x85062))),f326(f326(f3(x85062),x85061),f77(x85062))),f326(f326(f8(a914,x85062),f326(f243(x85062),x85061)),f326(f301(a914,f2(a914)),x85063)))
% 178.51/178.26 [8564]E(x85641,f2(a914))+~P106(f326(x85643,f326(f326(f36(a914),x85642),x85641)))+P106(f326(f326(f235(a914),x85642),f326(f326(f80(a914),x85641),f326(a112,f377(x85641,x85642,x85643)))))
% 178.51/178.26 [8581]P106(f326(x85811,f2(a914)))+~P106(f326(x85811,f326(f326(f36(a914),x85812),x85813)))+P106(f326(f326(f235(a914),x85812),f326(f326(f80(a914),x85813),f326(a112,f377(x85813,x85812,x85811)))))
% 178.51/178.26 [8619]E(x86191,f2(a914))+~P106(f326(x86193,f326(f326(f36(a914),x86192),x86191)))+P106(f326(f326(f234(a914),f326(f326(f80(a914),x86191),f377(x86191,x86192,x86193))),x86192))
% 178.51/178.26 [8650]P106(f326(x86501,f2(a914)))+~P106(f326(x86501,f326(f326(f36(a914),x86503),x86502)))+P106(f326(f326(f234(a914),f326(f326(f80(a914),x86502),f377(x86502,x86503,x86501))),x86503))
% 178.51/178.26 [8658]~P109(x86581)+E(f326(f326(f148(x86581,x86581,f7(x86581)),x86582),x86583),f149(x86581,x86581,f7(x86581),x86582,x86583))+P106(f326(f326(f328(x86581),x86582),f326(f172(x86581),x86583)))
% 178.51/178.26 [8692]~E(f326(x86923,f585(x86922,x86923,x86921)),f326(x86923,f587(x86922,x86923,x86921)))+~P59(x86921,f326(x86923,f586(x86922,x86923,x86921)))+P59(x86921,f326(f326(f40(x86922,f922(x86921,f922(x86921,a910))),f241(f922(x86922,a910))),x86923))
% 178.51/178.26 [8701]E(x87011,f188(f922(f922(x87012,a910),a910)))+~P106(f326(f326(f234(f922(x87012,a910)),f388(x87013,x87011,x87012)),x87013))+P106(f326(f326(f234(f922(x87012,a910)),f38(f922(x87012,a910),x87011)),x87013))
% 178.51/178.26 [8761]~P66(x87611)+~P106(f326(f326(f235(x87611),x87612),x87613))+P106(f326(f326(f235(x87611),x87612),f326(f326(f289(x87611),f326(f326(f79(x87611),x87612),x87613)),f326(f326(f79(x87611),f77(x87611)),f77(x87611)))))
% 178.51/178.26 [8819]~P106(f326(f326(x88191,f393(x88191,x88193,x88192)),f396(x88191,x88193,x88192)))+P106(f326(f326(x88191,x88192),x88193))+~P106(f326(f314(f921(a1,a1),a52),f326(f326(f251(a1,a1),x88192),x88193)))
% 178.51/178.26 [8820]~P106(f326(f326(x88201,f397(x88201,x88203,x88202)),f398(x88201,x88203,x88202)))+P106(f326(f326(x88201,x88202),x88203))+~P106(f326(f314(f921(a1,a1),a58),f326(f326(f251(a1,a1),x88202),x88203)))
% 178.51/178.26 [8821]~P106(f326(f326(x88211,f399(x88211,x88213,x88212)),f402(x88211,x88213,x88212)))+P106(f326(f326(x88211,x88212),x88213))+~P106(f326(f314(f921(a1,a1),a221),f326(f326(f251(a1,a1),x88212),x88213)))
% 178.51/178.26 [8822]~P106(f326(f326(x88221,f404(x88221,x88223,x88222)),f405(x88221,x88223,x88222)))+P106(f326(f326(x88221,x88222),x88223))+~P106(f326(f314(f921(a914,a914),a219),f326(f326(f251(a914,a914),x88222),x88223)))
% 178.51/178.26 [8823]~P106(f326(f326(x88231,f673(x88231,x88233,x88232)),f679(x88231,x88233,x88232)))+P106(f326(f326(x88231,x88232),x88233))+~P106(f326(f314(f921(a1,a1),a182),f326(f326(f251(a1,a1),x88232),x88233)))
% 178.51/178.26 [8824]~P106(f326(f326(x88241,f771(x88241,x88243,x88242)),f772(x88241,x88243,x88242)))+P106(f326(f326(x88241,x88242),x88243))+~P106(f326(f314(f921(a1,a1),a133),f326(f326(f251(a1,a1),x88242),x88243)))
% 178.51/178.26 [9097]P106(f326(f326(x90971,x90972),x90973))+P106(f326(f314(f921(a914,a914),a219),f326(f326(f251(a914,a914),f404(x90971,x90973,x90972)),f405(x90971,x90973,x90972))))+~P106(f326(f314(f921(a914,a914),a219),f326(f326(f251(a914,a914),x90972),x90973)))
% 178.51/178.26 [9098]P106(f326(f326(x90981,x90982),x90983))+P106(f326(f314(f921(a1,a1),a52),f326(f326(f251(a1,a1),f393(x90981,x90983,x90982)),f396(x90981,x90983,x90982))))+~P106(f326(f314(f921(a1,a1),a52),f326(f326(f251(a1,a1),x90982),x90983)))
% 178.51/178.26 [9099]P106(f326(f326(x90991,x90992),x90993))+P106(f326(f314(f921(a1,a1),a58),f326(f326(f251(a1,a1),f397(x90991,x90993,x90992)),f398(x90991,x90993,x90992))))+~P106(f326(f314(f921(a1,a1),a58),f326(f326(f251(a1,a1),x90992),x90993)))
% 178.51/178.26 [9100]P106(f326(f326(x91001,x91002),x91003))+P106(f326(f314(f921(a1,a1),a221),f326(f326(f251(a1,a1),f399(x91001,x91003,x91002)),f402(x91001,x91003,x91002))))+~P106(f326(f314(f921(a1,a1),a221),f326(f326(f251(a1,a1),x91002),x91003)))
% 178.51/178.26 [9101]P106(f326(f326(x91011,x91012),x91013))+P106(f326(f314(f921(a1,a1),a182),f326(f326(f251(a1,a1),f673(x91011,x91013,x91012)),f679(x91011,x91013,x91012))))+~P106(f326(f314(f921(a1,a1),a182),f326(f326(f251(a1,a1),x91012),x91013)))
% 178.51/178.26 [9102]P106(f326(f326(x91021,x91022),x91023))+P106(f326(f314(f921(a1,a1),a133),f326(f326(f251(a1,a1),f771(x91021,x91023,x91022)),f772(x91021,x91023,x91022))))+~P106(f326(f314(f921(a1,a1),a133),f326(f326(f251(a1,a1),x91022),x91023)))
% 178.51/178.26 [9435]~P106(f326(f61(x94351),x94353))+P106(f326(f326(f328(f921(f922(x94351,a910),f922(x94351,a910))),f326(f326(f251(f922(x94351,a910),f922(x94351,a910)),x94352),x94353)),f313(x94351)))+~P106(f326(f326(f235(f922(x94351,a910)),x94352),x94353))
% 178.51/178.26 [9510]~P59(x95101,f326(x95103,f586(x95102,x95103,x95101)))+P59(x95101,f326(f326(f40(x95102,f922(x95101,f922(x95101,a910))),f241(f922(x95102,a910))),x95103))+~E(f326(f326(f101(f922(x95101,a910)),f248(x95101,x95101,f326(x95103,f585(x95102,x95103,x95101)))),f249(x95101,x95101,f326(x95103,f587(x95102,x95103,x95101)))),f188(f922(x95101,a910)))
% 178.51/178.26 [9719]P52(x97191,x97192,x97193)+P106(f326(f326(f328(f921(x97191,x97191)),f575(x97193,x97192,x97191)),x97193))+~P106(f326(f326(f328(f921(x97191,x97191)),f326(f326(f251(x97191,x97191),f574(x97193,x97192,x97191)),f574(x97193,x97192,x97191))),x97193))
% 178.51/178.26 [10301]P52(x103011,x103012,x103013)+~P106(f326(f326(f256(x103011,x103011,a910),f326(f326(f9(x103011,f922(x103011,a910),f922(x103011,a910)),f326(f326(f10(f922(a910,a910),f922(f922(x103011,a910),f922(x103011,a910)),x103011),f10(a910,a910,x103011)),f326(f326(f10(a910,f922(a910,a910),x103011),a325),f326(f326(f9(x103011,f922(x103011,a910),a910),f328(x103011)),x103012)))),f326(f326(f9(x103011,f922(x103011,a910),a910),f328(x103011)),x103012))),f575(x103013,x103012,x103011)))+~P106(f326(f326(f328(f921(x103011,x103011)),f326(f326(f251(x103011,x103011),f574(x103013,x103012,x103011)),f574(x103013,x103012,x103011))),x103013))
% 178.51/178.26 [5839]~P60(x58392)+E(x58391,f2(x58392))+E(f326(f326(f36(x58392),f326(f326(f80(x58392),x58393),x58391)),x58391),x58393)
% 178.51/178.26 [5840]~P60(x58402)+E(x58401,f2(x58402))+E(f326(f326(f36(x58402),f326(f326(f80(x58402),x58401),x58403)),x58401),x58403)
% 178.51/178.26 [6654]~P70(x66541)+~E(f326(x66542,f2(a914)),f2(x66541))+E(f326(f326(f8(a914,x66541),x66542),f326(f301(a914,f326(a112,f2(a914))),x66543)),f326(f326(f8(a914,x66541),x66542),f326(f301(a914,f2(a914)),x66543)))
% 178.51/178.26 [6787]~P60(x67872)+E(x67871,f2(x67872))+E(f326(f326(f36(x67872),f326(f326(f79(x67872),x67873),x67871)),x67871),f326(f326(f79(x67872),f326(f326(f36(x67872),x67873),x67871)),f77(x67872)))
% 178.51/178.26 [6788]~P60(x67882)+E(x67881,f2(x67882))+E(f326(f326(f36(x67882),f326(f326(f79(x67882),x67881),x67883)),x67881),f326(f326(f79(x67882),f326(f326(f36(x67882),x67883),x67881)),f77(x67882)))
% 178.51/178.26 [7008]~P106(f326(x70083,f2(a1)))+P106(f326(f326(f234(a914),x70081),x70082))+P106(f326(x70083,f326(f100(a1),f326(f326(f3(a914),x70082),x70081))))
% 178.51/178.26 [7109]P106(f326(f326(f235(a914),x71092),x71091))+P106(f326(f326(f234(a914),x71091),x71092))+P106(f326(x71093,f326(f100(a1),f326(f326(f3(a914),x71092),x71091))))
% 178.51/178.26 [7182]E(f326(f326(f79(a914),f326(f103(a914),x71821)),f326(f326(f79(a914),f326(f103(a914),x71822)),x71823)),f326(f326(f79(a914),f326(f103(a914),x71821)),x71823))+P106(f326(a193,f326(f103(a1),x71821)))+~P106(f326(a193,f326(f103(a1),x71822)))
% 178.51/178.26 [7262]~E(x72622,f326(f326(f36(a914),x72623),x72621))+~P106(f326(f326(f235(a914),f2(a914)),x72621))+P106(f326(f326(f234(a914),f326(f326(f80(a914),x72621),x72622)),x72623))
% 178.51/178.26 [7376]~P106(f326(f61(x73761),x73763))+~P106(f326(f61(x73761),x73762))+P106(f326(f61(x73761),f326(f326(f110(f922(x73761,a910)),x73762),x73763)))
% 178.51/178.26 [7426]~P38(x74261,x74263)+~P38(x74261,x74262)+P38(x74261,f326(f326(f101(f922(f921(x74261,x74261),a910)),x74262),x74263))
% 178.51/178.26 [7427]~P51(x74271,x74273)+~P51(x74271,x74272)+P51(x74271,f326(f326(f110(f922(f921(x74271,x74271),a910)),x74272),x74273))
% 178.51/178.26 [7428]~P51(x74281,x74283)+~P51(x74281,x74282)+P51(x74281,f326(f326(f101(f922(f921(x74281,x74281),a910)),x74282),x74283))
% 178.51/178.26 [7669]~P109(x76691)+~P106(f326(f61(x76691),x76692))+E(f139(x76691,f326(f326(f3(f922(x76691,a910)),x76692),f326(f326(f308(x76691),x76693),f188(f922(x76691,a910))))),f170(x76691,x76693,f139(x76691,x76692)))
% 178.51/178.26 [7730]P106(f326(x77301,f2(a1)))+~P106(f326(f326(f235(a914),x77302),x77303))+~P106(f326(x77301,f326(f100(a1),f326(f326(f3(a914),x77302),x77303))))
% 178.51/178.26 [7748]~P106(f326(f61(x77481),x77482))+E(f326(f35(x77481),f326(f326(f3(f922(x77481,a910)),x77482),f326(f326(f308(x77481),x77483),f188(f922(x77481,a910))))),f326(f35(x77481),x77482))+P106(f326(f326(f328(x77481),x77483),x77482))
% 178.51/178.26 [7878]~P125(x78781)+~P106(f326(f326(f235(x78781),f77(x78781)),x78782))+P106(f326(f326(f235(x78781),f77(x78781)),f326(f326(f80(x78781),x78782),f326(f326(f243(x78781),x78782),x78783))))
% 178.51/178.26 [7920]~P106(f326(f61(x79201),x79203))+E(f326(f326(f3(a914),f326(f35(x79201),x79202)),f326(f35(x79201),x79203)),f326(f35(x79201),f326(f326(f3(f922(x79201,a910)),x79202),x79203)))+~P106(f326(f326(f234(f922(x79201,a910)),x79203),x79202))
% 178.51/178.26 [7977]~P106(f326(f326(f234(a914),x79772),x79773))+~P106(f326(f326(f234(a914),x79771),f326(f326(f3(a914),x79773),x79772)))+P106(f326(f326(f234(a914),f326(f326(f79(a914),x79771),x79772)),x79773))
% 178.51/178.26 [8029]P106(f326(f61(x80291),x80292))+~P106(f326(f61(x80291),x80293))+~P106(f326(f61(x80291),f326(f326(f3(f922(x80291,a910)),x80292),x80293)))
% 178.51/178.26 [8035]~P106(f326(f61(x80351),x80352))+E(f326(f35(x80351),f326(f326(f3(f922(x80351,a910)),x80352),f326(f326(f308(x80351),x80353),f188(f922(x80351,a910))))),f326(f326(f3(a914),f326(f35(x80351),x80352)),f77(a914)))+~P106(f326(f326(f328(x80351),x80353),x80352))
% 178.51/178.26 [8110]P59(x81101,x81102)+~P59(x81101,x81103)+~P106(f326(f326(f234(f922(x81101,f922(x81101,a910))),x81102),x81103))
% 178.51/178.26 [8150]~P106(f326(f326(f234(a914),x81503),x81502))+P106(f326(f326(f234(a914),x81501),f326(f326(f3(a914),x81502),x81503)))+~P106(f326(f326(f234(a914),f326(f326(f79(a914),x81501),x81503)),x81502))
% 178.51/178.26 [8168]P37(x81681,x81682)+~P37(x81681,x81683)+~P106(f326(f326(f234(f922(f921(x81681,x81681),a910)),x81682),x81683))
% 178.51/178.26 [8169]P57(x81691,x81692)+~P57(x81691,x81693)+~P106(f326(f326(f234(f922(f921(x81691,x81691),a910)),x81692),x81693))
% 178.51/178.26 [8170]P39(x81701,x81702)+~P39(x81701,x81703)+~P106(f326(f326(f234(f922(f921(x81701,x81701),a910)),x81702),x81703))
% 178.51/178.26 [8398]~P125(x83981)+~P106(f326(f326(f235(x83981),f77(x83981)),x83982))+P106(f326(f326(f235(x83981),f326(f326(f243(x83981),x83982),x83983)),f326(f326(f80(x83981),x83982),f326(f326(f243(x83981),x83982),x83983))))
% 178.51/178.26 [8488]~P106(f326(x84881,f2(a1)))+~P106(f326(x84881,f326(f326(f3(a1),f326(f100(a1),x84882)),f326(f100(a1),x84883))))+P106(f326(x84881,f326(f100(a1),f326(f326(f3(a914),x84882),x84883))))
% 178.51/178.26 [8503]~P106(f326(f326(f234(a914),x85033),x85032))+P106(f326(x85031,f326(f326(f3(a1),f326(f100(a1),x85032)),f326(f100(a1),x85033))))+~P106(f326(x85031,f326(f100(a1),f326(f326(f3(a914),x85032),x85033))))
% 178.51/178.26 [8523]P106(f326(f326(f235(a914),x85231),x85232))+~P106(f326(x85233,f326(f326(f3(a1),f326(f100(a1),x85231)),f326(f100(a1),x85232))))+P106(f326(x85233,f326(f100(a1),f326(f326(f3(a914),x85231),x85232))))
% 178.51/178.26 [8575]~P126(x85752)+E(x85751,f2(x85752))+P106(f326(f326(f235(x85752),f2(x85752)),f326(f326(f79(x85752),f326(f326(f80(x85752),x85753),x85753)),f326(f326(f80(x85752),x85751),x85751))))
% 178.51/178.26 [8576]~P126(x85762)+E(x85761,f2(x85762))+P106(f326(f326(f235(x85762),f2(x85762)),f326(f326(f79(x85762),f326(f326(f80(x85762),x85761),x85761)),f326(f326(f80(x85762),x85763),x85763))))
% 178.51/178.26 [8675]~P106(f326(f326(f235(a914),f2(a914)),x86751))+~P106(f326(f326(f235(a1),x86752),x86753))+P106(f326(f326(f235(a1),f326(f326(f80(a1),f326(f100(a1),x86751)),x86752)),f326(f326(f80(a1),f326(f100(a1),x86751)),x86753)))
% 178.51/178.26 [8730]E(f326(f326(f101(f922(x87301,a910)),x87302),f37(f922(x87301,a910),x87303)),f188(f922(x87301,a910)))+P106(f326(f326(f328(f922(x87301,a910)),x87302),x87303))+P106(f326(f326(f328(f922(x87301,a910)),f787(x87303,x87302,x87301)),f326(f326(f308(f922(x87301,a910)),x87302),x87303)))
% 178.51/178.26 [8731]E(f326(f326(f101(f922(x87311,a910)),x87312),f37(f922(x87311,a910),x87313)),f188(f922(x87311,a910)))+P106(f326(f326(f328(f922(x87311,a910)),x87312),x87313))+P106(f326(f326(f328(f922(x87311,a910)),f792(x87313,x87312,x87311)),f326(f326(f308(f922(x87311,a910)),x87312),x87313)))
% 178.51/178.26 [8760]E(x87601,x87602)+~E(f326(f189(f915(x87603)),x87601),f326(f189(f915(x87603)),x87602))+P106(f326(f326(f328(f921(x87603,x87603)),f662(x87603,x87601,x87602)),f326(f172(f921(x87603,x87603)),f326(f326(f181(x87603,x87603),x87602),x87601))))
% 178.51/178.26 [9010]E(f306(x90101,x90102),f306(x90101,x90103))+~P106(f326(f326(f234(f922(f921(x90101,x90101),a910)),x90103),f306(x90101,x90102)))+~P106(f326(f326(f234(f922(f921(x90101,x90101),a910)),x90102),x90103))
% 178.51/178.26 [9077]~P52(x90771,f241(f922(x90771,a910)),x90773)+P106(f326(f326(f234(f922(f921(f915(x90771),f915(x90771)),a910)),f157(x90771,x90772)),f158(x90771,x90773)))+~P106(f326(f326(f234(f922(f921(x90771,x90771),a910)),x90772),x90773))
% 178.51/178.26 [9272]P37(x92721,x92722)+~P106(f326(f326(f328(x92721),x92723),f599(x92722,x92721)))+P106(f326(f326(f328(f921(x92721,x92721)),f326(f326(f251(x92721,x92721),f613(x92722,x92721,x92723)),x92723)),x92722))
% 178.51/178.26 [9307]~P106(f326(f61(x93071),x93072))+P106(f326(f61(f922(x93071,a910)),f326(f326(f60(x93071),x93072),x93073)))+~P106(f326(f326(f234(f922(f921(x93071,x93071),a910)),x93073),f326(f326(f253(x93071,x93071),x93072),f326(f18(f922(x93071,a910),x93071),x93072))))
% 178.51/178.26 [9343]P52(x93431,x93432,x93433)+P106(f326(f326(f328(x93431),f562(x93433,x93432,x93431)),x93432))+~P106(f326(f326(f234(f922(f921(x93431,x93431),a910)),x93433),f326(f326(f253(x93431,x93431),x93432),f326(f18(f922(x93431,a910),x93431),x93432))))
% 178.51/178.26 [9344]P52(x93441,x93442,x93443)+P106(f326(f326(f328(x93441),f569(x93442,x93443,x93441)),x93442))+~P106(f326(f326(f234(f922(f921(x93441,x93441),a910)),x93443),f326(f326(f253(x93441,x93441),x93442),f326(f18(f922(x93441,a910),x93441),x93442))))
% 178.51/178.26 [9377]~P66(x93771)+~P106(f326(f326(f235(x93771),x93772),x93773))+P106(f326(f326(f235(x93771),f326(f326(f289(x93771),f326(f326(f79(x93771),x93772),x93773)),f326(f326(f79(x93771),f77(x93771)),f77(x93771)))),x93773))
% 178.51/178.26 [9408]~P65(x94081)+P106(f326(f326(f234(x94081),x94082),x94083))+~P106(f326(f326(f234(x94081),f326(f326(f80(x94081),f892(x94083,x94082,x94081)),x94082)),x94083))
% 178.51/178.26 [9545]E(f326(f189(f915(f915(x95451))),f326(f136(f915(x95451),f326(f326(f10(a914,a910,f915(x95451)),f326(f235(a914),x95452)),f189(f915(x95451)))),f179(x95451,x95453))),f326(f189(f915(x95451)),f326(f326(f164(f915(x95451)),x95453),x95452)))+~P12(a914,f326(f168(a914),f326(f326(f154(f915(x95451),a914),f189(f915(x95451))),x95453)))+~P106(f326(f326(f235(a914),x95452),f326(f189(f915(f915(x95451))),x95453)))
% 178.51/178.26 [9666]~P37(x96661,x96662)+P26(x96661,f326(f326(f251(f922(f921(x96661,x96661),a910),f922(f921(x96661,x96661),a910)),x96662),x96663))+~P106(f326(f326(f234(f922(f921(x96661,x96661),a910)),f326(f326(f288(x96661,x96661,x96661),x96662),x96663)),x96662))
% 178.51/178.26 [9672]E(f326(f326(f154(f915(x96721),x96721),f326(f326(f9(f915(x96721),a914,x96721),f164(x96721)),x96722)),f326(f136(f915(x96721),f326(f326(f10(a914,a910,f915(x96721)),f326(f235(a914),x96722)),f189(f915(x96721)))),f179(x96721,x96723))),f326(f326(f164(f915(x96721)),x96723),x96722))+~P12(a914,f326(f168(a914),f326(f326(f154(f915(x96721),a914),f189(f915(x96721))),x96723)))+~P106(f326(f326(f235(a914),x96722),f326(f189(f915(f915(x96721))),x96723)))
% 178.51/178.26 [9807]P52(x98071,x98072,x98073)+~P106(f326(f326(f328(f921(x98071,x98071)),f326(f326(f251(x98071,x98071),f562(x98073,x98072,x98071)),f562(x98073,x98072,x98071))),x98073))+~P106(f326(f326(f234(f922(f921(x98071,x98071),a910)),x98073),f326(f326(f253(x98071,x98071),x98072),f326(f18(f922(x98071,a910),x98071),x98072))))
% 178.51/178.26 [9808]P52(x98081,x98082,x98083)+~P106(f326(f326(f328(f921(x98081,x98081)),f326(f326(f251(x98081,x98081),f569(x98082,x98083,x98081)),f569(x98082,x98083,x98081))),x98083))+~P106(f326(f326(f234(f922(f921(x98081,x98081),a910)),x98083),f326(f326(f253(x98081,x98081),x98082),f326(f18(f922(x98081,a910),x98081),x98082))))
% 178.51/178.26 [9976]~P141(x99761)+~P124(x99761)+E(f326(f326(f289(x99761),f326(f102(x99761),f326(f326(f72(f921(a1,a1),a1,x99762,f250(a1,a1)),f212(x99762)),x99763))),f326(f102(x99761),f326(f326(f72(f921(a1,a1),a1,x99762,f255(a1,a1)),f212(x99762)),x99763))),f222(x99762,x99761,x99763))
% 178.51/178.26 [10171]~E(x101713,f2(a914))+~E(f326(f189(f915(x101711)),f326(f326(f164(f915(x101711)),x101712),f712(x101713,x101711,x101712))),x101713)+E(f326(f326(f154(a914,f915(x101711)),f326(f326(f9(a914,f915(a914),f915(x101711)),f326(f326(f10(f922(a914,x101711),f922(f915(a914),f915(x101711)),a914),f154(a914,x101711)),f326(f9(a914,a914,x101711),f326(f326(f10(f915(x101711),f922(a914,x101711),a914),f164(x101711)),f326(f164(f915(x101711)),x101712))))),f139(a914,f326(f301(a914,f2(a914)),f326(f189(f915(f915(x101711))),x101712))))),f139(a914,f326(f301(a914,f2(a914)),x101713))),f179(x101711,x101712))
% 178.51/178.26 [10172]E(x101721,f113(f915(x101722)))+~E(f326(f189(f915(x101722)),f326(f326(f164(f915(x101722)),x101721),f712(x101723,x101722,x101721))),x101723)+E(f326(f326(f154(a914,f915(x101722)),f326(f326(f9(a914,f915(a914),f915(x101722)),f326(f326(f10(f922(a914,x101722),f922(f915(a914),f915(x101722)),a914),f154(a914,x101722)),f326(f9(a914,a914,x101722),f326(f326(f10(f915(x101722),f922(a914,x101722),a914),f164(x101722)),f326(f164(f915(x101722)),x101721))))),f139(a914,f326(f301(a914,f2(a914)),f326(f189(f915(f915(x101722))),x101721))))),f139(a914,f326(f301(a914,f2(a914)),x101723))),f179(x101722,x101721))
% 178.51/178.26 [10173]~E(x101733,f2(a914))+E(f326(f326(f154(a914,f915(x101731)),f326(f326(f9(a914,f915(a914),f915(x101731)),f326(f326(f10(f922(a914,x101731),f922(f915(a914),f915(x101731)),a914),f154(a914,x101731)),f326(f9(a914,a914,x101731),f326(f326(f10(f915(x101731),f922(a914,x101731),a914),f164(x101731)),f326(f164(f915(x101731)),x101732))))),f139(a914,f326(f301(a914,f2(a914)),f326(f189(f915(f915(x101731))),x101732))))),f139(a914,f326(f301(a914,f2(a914)),x101733))),f179(x101731,x101732))+P106(f326(f326(f235(a914),f712(x101733,x101731,x101732)),f326(f189(f915(f915(x101731))),x101732)))
% 178.51/178.26 [10174]E(x101741,f113(f915(x101742)))+E(f326(f326(f154(a914,f915(x101742)),f326(f326(f9(a914,f915(a914),f915(x101742)),f326(f326(f10(f922(a914,x101742),f922(f915(a914),f915(x101742)),a914),f154(a914,x101742)),f326(f9(a914,a914,x101742),f326(f326(f10(f915(x101742),f922(a914,x101742),a914),f164(x101742)),f326(f164(f915(x101742)),x101741))))),f139(a914,f326(f301(a914,f2(a914)),f326(f189(f915(f915(x101742))),x101741))))),f139(a914,f326(f301(a914,f2(a914)),x101743))),f179(x101742,x101741))+P106(f326(f326(f235(a914),f712(x101743,x101742,x101741)),f326(f189(f915(f915(x101742))),x101741)))
% 178.51/178.26 [7917]E(f326(f326(f79(a914),f326(f103(a914),x79171)),f326(f326(f79(a914),f326(f103(a914),x79172)),x79173)),f326(f326(f79(a914),f326(f103(a914),f326(f326(f79(a1),x79171),x79172))),x79173))+P106(f326(a193,f326(f103(a1),x79171)))+P106(f326(a193,f326(f103(a1),x79172)))
% 178.51/178.26 [8667]~P106(f326(f61(x86671),x86672))+~P106(f326(f326(f328(x86671),x86673),x86672))+E(f326(a112,f326(f35(x86671),f326(f326(f3(f922(x86671,a910)),x86672),f326(f326(f308(x86671),x86673),f188(f922(x86671,a910)))))),f326(f35(x86671),x86672))
% 178.51/178.26 [8682]~P106(f326(f61(x86821),x86822))+~P106(f326(f326(f328(x86821),x86823),x86822))+E(f326(f326(f79(a914),f77(a914)),f326(f35(x86821),f326(f326(f3(f922(x86821,a910)),x86822),f326(f326(f308(x86821),x86823),f188(f922(x86821,a910)))))),f326(f35(x86821),x86822))
% 178.51/178.26 [8769]~P109(x87691)+~P106(f326(f61(x87691),x87693))+E(f326(f326(f148(x87691,x87691,f7(x87691)),x87692),f139(x87691,f326(f326(f3(f922(x87691,a910)),x87693),f326(f326(f308(x87691),x87692),f188(f922(x87691,a910)))))),f139(x87691,f326(f326(f308(x87691),x87692),x87693)))
% 178.51/178.26 [8935]~P106(f326(f61(x89351),x89353))+~P106(f326(f61(x89351),x89352))+E(f326(f326(f79(a914),f326(f35(x89351),f326(f326(f110(f922(x89351,a910)),x89352),x89353))),f326(f35(x89351),f326(f326(f101(f922(x89351,a910)),x89352),x89353))),f326(f326(f79(a914),f326(f35(x89351),x89352)),f326(f35(x89351),x89353)))
% 178.51/178.26 [10120]~P24(x101201,f922(f922(x101201,a910),a910),f326(f326(f9(x101201,f922(f921(x101201,x101201),a910),f922(f922(x101201,a910),a910)),f326(f326(f10(f922(x101201,a910),f922(f922(f921(x101201,x101201),a910),f922(f922(x101201,a910),a910)),x101201),f60(x101201)),f326(f326(f9(x101201,f922(x101201,a910),f922(x101201,a910)),f308(x101201)),f188(f922(x101201,a910))))),x101203),x101202)+~P106(f326(f61(x101201),x101202))+E(f326(f35(f922(x101201,a910)),f326(f326(f60(x101201),x101202),x101203)),f326(f35(x101201),x101202))
% 178.51/178.26 [8182]~P95(x81821)+P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x81823)))+E(f326(f326(f243(x81821),x81822),f326(f103(a914),f326(f326(f3(a1),f326(f326(f79(a1),x81823),x81823)),a97))),f77(x81821))
% 178.51/178.26 [9648]~P95(x96481)+~P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x96483)))+E(f326(f326(f243(x96481),x96482),f326(f103(a914),f326(f326(f3(a1),f326(f326(f79(a1),x96483),x96483)),a97))),f326(f326(f85(x96481,x96481),f326(f326(f243(x96481),x96482),f326(f103(a914),x96483))),f326(f326(f20(x96481,x96481,x96481),f326(f326(f10(x96481,f922(x96481,x96481),x96481),f80(x96481)),f326(f80(x96481),x96482))),f7(x96481))))
% 178.51/178.26 [10039]~P106(f326(f137(x100391),x100393))+~P106(f326(f326(f328(x100391),x100392),f326(f172(x100391),x100393)))+E(f326(f326(f138(x100391),f326(f189(f915(x100391)),f177(x100391,f326(f326(f10(a910,a910,x100391),a321),f326(f326(f9(x100391,x100391,a910),a323),x100392)),f326(f168(x100391),x100393)))),f326(f168(x100391),x100393)),f326(f326(f151(x100391),x100392),f326(f168(x100391),f177(x100391,f326(f326(f10(a910,a910,x100391),a321),f326(f326(f9(x100391,x100391,a910),a323),x100392)),x100393))))
% 178.51/178.26 [10101]P106(f326(f326(f234(f922(f921(x101011,x101011),a910)),f306(x101011,x101012)),x101013))+~P106(f326(f326(f234(f922(f921(x101011,x101011),a910)),f306(x101011,f188(f922(f921(x101011,x101011),a910)))),x101013))+~P106(f326(f326(f234(f922(f921(x101011,x101011),a910)),f326(f326(f288(x101011,x101011,x101011),f326(f326(f101(f922(f921(x101011,x101011),a910)),f306(x101011,x101012)),x101013)),x101012)),x101013))
% 178.51/178.26 [9956]~P106(f326(f61(x99561),f326(f261(x99561),x99563)))+~P106(f326(f61(x99561),f326(f261(x99561),x99562)))+P106(f326(f61(x99561),f326(f261(x99561),f326(f326(f20(x99561,a910,a910),f326(f326(f10(a910,f922(a910,a910),x99561),a324),x99562)),x99563))))
% 178.51/178.26 [10233]P106(f326(f326(f234(f922(f921(x102331,x102331),a910)),f326(f326(f288(x102331,x102331,x102331),x102332),f306(x102331,x102332))),x102333))+~P106(f326(f326(f234(f922(f921(x102331,x102331),a910)),x102332),x102333))+~P106(f326(f326(f234(f922(f921(x102331,x102331),a910)),f326(f326(f288(x102331,x102331,x102331),f326(f326(f101(f922(f921(x102331,x102331),a910)),f326(f326(f288(x102331,x102331,x102331),x102332),f306(x102331,x102332))),x102333)),x102332)),x102333))
% 178.51/178.26 [10187]~P119(x101872)+E(x101871,f2(x101872))+~E(f326(f326(f79(x101872),f326(f326(f243(x101872),x101873),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x101872),x101871),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f2(x101872))
% 178.51/178.26 [10188]~P119(x101882)+E(x101881,f2(x101882))+~E(f326(f326(f79(x101882),f326(f326(f243(x101882),x101881),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x101882),x101883),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f2(x101882))
% 178.51/178.26 [10193]~P106(f326(f137(x101931),x101933))+~P106(f326(f326(f328(x101931),x101932),f326(f172(x101931),x101933)))+E(f326(f168(x101931),f326(f171(x101931),f326(f326(f138(x101931),f326(f189(f915(x101931)),f177(x101931,f326(f326(f10(a910,a910,x101931),a321),f326(f326(f9(x101931,x101931,a910),a323),x101932)),x101933))),x101933))),f177(x101931,f326(f326(f10(a910,a910,x101931),a321),f326(f326(f9(x101931,x101931,a910),a323),x101932)),f326(f168(x101931),x101933)))
% 178.51/178.26 [10281]~P119(x102812)+E(x102811,f2(x102812))+P106(f326(f326(f235(x102812),f2(x102812)),f326(f326(f79(x102812),f326(f326(f243(x102812),x102813),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x102812),x102811),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))))
% 178.51/178.26 [10282]~P119(x102822)+E(x102821,f2(x102822))+P106(f326(f326(f235(x102822),f2(x102822)),f326(f326(f79(x102822),f326(f326(f243(x102822),x102821),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x102822),x102823),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))))
% 178.51/178.26 [10343]~P119(x103431)+P106(f326(f326(f234(x103431),f2(x103431)),x103432))+~P106(f326(f326(f234(x103431),f2(x103431)),f326(f326(f243(x103431),x103432),f326(a112,f326(f326(f80(a914),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103433)))))
% 178.51/178.26 [5673]~P23(x56731,x56734,x56733)+P23(x56731,x56732,x56733)+~P23(x56731,x56732,x56734)
% 178.51/178.26 [5136]~E(x51362,f89(x51363,x51361))+P106(f326(x51361,x51362))+~P106(f326(x51361,x51364))
% 178.51/178.26 [5383]E(f68(x53833,x53832,x53834),x53832)+E(x53831,f738(x53832,x53833,x53834))+~P106(f326(x53834,x53831))
% 178.51/178.26 [6711]E(f68(x67111,x67112,x67113),f84(x67111,x67113))+~E(f774(x67112,x67111,x67113,x67114),x67114)+~P106(f326(x67113,x67114))
% 178.51/178.26 [6919]~P37(x69192,x69194)+~P37(x69191,x69193)+P37(f921(x69191,x69192),f319(x69191,x69192,x69193,x69194))
% 178.51/178.26 [6920]~P38(x69202,x69204)+~P38(x69201,x69203)+P38(f921(x69201,x69202),f319(x69201,x69202,x69203,x69204))
% 178.51/178.26 [5323]~P6(x53234,x53231)+~E(f326(x53231,x53232),f326(x53231,x53233))+P106(f326(f326(x53231,x53232),x53233))
% 178.51/178.26 [5487]~P6(x54874,x54871)+E(f326(x54871,x54872),f326(x54871,x54873))+~P106(f326(f326(x54871,x54872),x54873))
% 178.51/178.26 [5488]~P14(x54884,x54881)+E(f326(x54881,x54882),f326(x54881,x54883))+~P106(f326(f326(x54881,x54882),x54883))
% 178.51/178.26 [5580]~P17(x55803,x55804,x55801)+E(f326(x55801,x55802),f326(f63(x55803,x55804),x55802))+~P106(f326(f61(x55803),x55802))
% 178.51/178.26 [5581]~P8(x55813,x55814,x55811)+E(f326(x55811,x55812),f326(f63(x55813,x55814),x55812))+~P106(f326(f61(x55813),x55812))
% 178.51/178.26 [5706]~P6(x57064,x57061)+~P106(f326(f326(x57061,x57063),x57062))+P106(f326(f326(x57061,x57062),x57063))
% 178.51/178.26 [5707]~P50(x57074,x57071)+~P106(f326(f326(x57071,x57073),x57072))+P106(f326(f326(x57071,x57072),x57073))
% 178.51/178.26 [5708]~P14(x57084,x57081)+~P106(f326(f326(x57081,x57083),x57082))+P106(f326(f326(x57081,x57082),x57083))
% 178.51/178.26 [5709]~P14(x57093,x57091)+P106(f326(f326(x57091,x57092),x57092))+~P106(f326(f326(x57091,x57094),x57092))
% 178.51/178.26 [5710]~P14(x57103,x57101)+P106(f326(f326(x57101,x57102),x57102))+~P106(f326(f326(x57101,x57102),x57104))
% 178.51/178.26 [5781]E(x57811,x57812)+~E(f326(f250(x57813,x57814),x57811),f326(f250(x57813,x57814),x57812))+~E(f326(f255(x57813,x57814),x57811),f326(f255(x57813,x57814),x57812))
% 178.51/178.26 [5808]E(x58081,x58082)+~P106(f326(f48(x58083,x58084),x58082))+~P106(f326(f48(x58083,x58084),x58081))
% 178.51/178.26 [6008]~P70(x60082)+E(f231(x60081,x60082,x60083,x60084),f2(x60082))+P106(f326(f61(x60081),x60084))
% 178.51/178.26 [6056]~P6(x60563,x60562)+~P106(f326(x60561,x60564))+P106(f326(x60561,f821(x60561,x60562,x60563)))
% 178.51/178.26 [6148]~P106(f326(f314(x61481,x61482),x61484))+P106(f326(f314(x61481,x61482),x61483))+~P106(f326(f326(x61482,x61483),x61484))
% 178.51/178.26 [6955]~P29(x69551,x69553,x69554)+P106(f326(x69551,x69552))+~P106(f326(f326(f328(a1),x69552),f302(a1,x69553,x69554)))
% 178.51/178.26 [7145]~P6(x71451,x71453)+~P106(f326(x71452,x71454))+P106(f326(f326(f328(x71451),f821(x71452,x71453,x71451)),f269(x71451,x71453)))
% 178.51/178.26 [8024]E(x80241,f2(a914))+~P106(f326(x80242,x80243))+P106(f326(x80242,f769(x80242,x80243,x80241,x80244)))
% 178.51/178.26 [8105]~P109(x81052)+~P106(f326(f137(x81051),x81054))+P106(f326(f137(x81051),f150(x81051,x81052,x81053,x81054)))
% 178.51/178.26 [8149]E(f68(x81491,x81492,x81493),f84(x81491,x81493))+~P106(f326(x81493,x81494))+P106(f326(x81493,f774(x81492,x81491,x81493,x81494)))
% 178.51/178.26 [8325]~P106(f326(f61(x83252),x83254))+~P106(f326(f61(x83251),x83253))+P106(f326(f61(f920(x83251,x83252)),f312(x83251,x83252,x83253,x83254)))
% 178.51/178.26 [8326]~P106(f326(f137(x83262),x83264))+~P106(f326(f137(x83261),x83263))+P106(f326(f137(f921(x83261,x83262)),f59(x83261,x83262,x83263,x83264)))
% 178.51/178.26 [8329]P106(f326(f326(f328(f915(x83291)),f326(f326(f134(x83291),x83292),x83293)),f161(x83291,x83294)))+~P106(f326(f326(f328(f915(x83291)),x83293),f161(x83291,x83294)))+~P106(f326(f326(f328(f915(x83291)),x83292),f161(x83291,x83294)))
% 178.51/178.26 [8605]E(x86051,f2(a914))+P106(f326(x86052,x86053))+~P106(f326(x86052,f770(x86052,x86053,x86051,x86054)))
% 178.51/178.26 [8642]~P109(x86423)+~P106(f326(f137(x86421),f150(x86421,x86423,x86424,x86422)))+P106(f326(f137(x86421),x86422))
% 178.51/178.26 [8924]~P106(f326(f326(f328(f921(x89241,x89241)),f326(f326(f251(x89241,x89241),x89242),x89244)),f306(x89241,x89243)))+P106(f326(f326(f328(x89241),x89242),f315(x89241,x89243)))+~P106(f326(f326(f328(x89241),x89244),f315(x89241,x89243)))
% 178.51/178.26 [5307]~P70(x53072)+E(f326(f326(f8(x53071,x53072),x53073),x53074),f2(x53072))+P106(f326(f61(x53071),x53074))
% 178.51/178.26 [5310]~P75(x53102)+E(f326(f326(f11(x53101,x53102),x53103),x53104),f77(x53102))+P106(f326(f61(x53101),x53104))
% 178.51/178.26 [5452]~P71(x54523)+E(x54521,x54522)+~E(f326(f326(f79(x54523),x54524),x54521),f326(f326(f79(x54523),x54524),x54522))
% 178.51/178.26 [5453]~P72(x54533)+E(x54531,x54532)+~E(f326(f326(f79(x54533),x54534),x54531),f326(f326(f79(x54533),x54534),x54532))
% 178.51/178.26 [5455]~P71(x54553)+E(x54551,x54552)+~E(f326(f326(f79(x54553),x54551),x54554),f326(f326(f79(x54553),x54552),x54554))
% 178.51/178.26 [5576]~P4(x55763)+E(x55761,f188(f922(x55762,a910)))+E(f326(f326(f39(x55762,x55763),x55761),f326(f18(x55763,x55762),x55764)),x55764)
% 178.51/178.26 [5577]~P4(x55773)+E(x55771,f188(f922(x55772,a910)))+E(f326(f326(f40(x55772,x55773),x55771),f326(f18(x55773,x55772),x55774)),x55774)
% 178.51/178.26 [5727]~E(x57274,f188(f922(x57271,a910)))+~E(x57274,f326(f326(f308(x57271),x57272),x57273))+P106(f326(f326(f328(x57271),x57272),x57273))
% 178.51/178.26 [5794]~P110(x57943)+E(x57941,x57942)+~E(f302(x57943,x57944,x57941),f326(f326(f308(x57943),x57942),f188(f922(x57943,a910))))
% 178.51/178.26 [5795]~P110(x57953)+E(x57951,x57952)+~E(f302(x57953,x57951,x57952),f326(f326(f308(x57953),x57954),f188(f922(x57953,a910))))
% 178.51/178.26 [5855]~P35(x58553,x58551,x58554)+P35(x58553,x58551,f326(f326(f151(x58553),x58552),x58554))+P106(f326(x58551,x58552))
% 178.51/178.26 [5957]~P31(x59571,x59572,x59574)+~P106(f326(x59572,x59573))+P31(x59571,x59572,f326(f326(f151(x59571),x59573),x59574))
% 178.51/178.26 [6104]P106(f326(x61041,x61042))+~P106(f326(f247(x61043,x61041),x61044))+~P106(f326(f326(f328(x61043),x61042),x61044))
% 178.51/178.26 [6113]~P31(x61131,x61132,x61134)+~P31(x61131,x61132,x61133)+P31(x61131,x61132,f326(f326(f134(x61131),x61133),x61134))
% 178.51/178.26 [6127]P33(x61271,x61272,x61273)+~P33(x61271,x61272,f326(f326(f151(x61271),x61274),x61273))+P106(f326(x61272,x61274))
% 178.51/178.26 [6128]P35(x61281,x61282,x61283)+~P35(x61281,x61282,f326(f326(f151(x61281),x61284),x61283))+P106(f326(x61282,x61284))
% 178.51/178.26 [6201]P33(x62011,x62012,x62013)+P33(x62011,x62012,x62014)+~P33(x62011,x62012,f326(f326(f134(x62011),x62014),x62013))
% 178.51/178.26 [6221]~P70(x62211)+E(f326(f326(f8(a914,x62211),x62212),f326(f301(a914,x62213),f326(a112,x62214))),f2(x62211))+~P106(f326(f326(f235(a914),x62214),x62213))
% 178.51/178.26 [6226]~P61(x62261)+~E(f45(x62261,x62262,x62263),f45(x62261,x62264,x62263))+E(f45(x62261,f326(f78(x62261),x62262),x62263),f45(x62261,f326(f78(x62261),x62264),x62263))
% 178.51/178.26 [6296]P106(f326(x62961,x62962))+~E(f326(f136(x62963,x62961),x62964),x62964)+~P106(f326(f326(f328(x62963),x62962),f326(f172(x62963),x62964)))
% 178.51/178.26 [6316]~E(f326(f326(f79(a914),x63163),x63162),f326(f326(f79(a914),x63161),x63164))+~P106(f326(f326(f235(a914),x63163),x63164))+P106(f326(f326(f235(a914),x63161),x63162))
% 178.51/178.26 [6322]P33(x63221,x63222,x63223)+~P106(f326(x63222,x63224))+~P106(f326(f326(f328(x63221),x63224),f326(f172(x63221),x63223)))
% 178.51/178.26 [6363]~P31(x63633,x63631,x63634)+P106(f326(x63631,x63632))+~P106(f326(f326(f328(x63633),x63632),f326(f172(x63633),x63634)))
% 178.51/178.26 [6365]~E(f326(f136(x63651,x63652),x63653),f113(x63651))+~P106(f326(x63652,x63654))+~P106(f326(f326(f328(x63651),x63654),f326(f172(x63651),x63653)))
% 178.51/178.26 [6366]~E(f177(x63663,x63661,x63664),x63664)+P106(f326(x63661,x63662))+~P106(f326(f326(f328(x63663),x63662),f326(f172(x63663),x63664)))
% 178.51/178.26 [6393]~E(x63934,f188(f922(x63932,a910)))+~E(x63933,f188(f922(x63931,a910)))+E(f312(x63931,x63932,x63933,x63934),f188(f922(f920(x63931,x63932),a910)))
% 178.51/178.26 [6542]P106(f326(x65421,x65422))+~P106(f326(f160(x65423,x65421),x65424))+~P106(f326(f326(f328(x65423),x65422),f326(f172(x65423),x65424)))
% 178.51/178.26 [6680]~P30(x66801,x66803,x66804)+P106(f326(x66801,x66802))+~P106(f326(f326(f328(a914),x66802),f326(f301(a914,x66803),x66804)))
% 178.51/178.26 [6815]~P70(x68151)+E(f326(f326(f8(a914,x68151),x68152),f302(a914,x68153,f326(a112,x68154))),f2(x68151))+~P106(f326(f326(f235(a914),f326(a112,x68154)),x68153))
% 178.51/178.26 [6958]~P109(x69581)+E(f326(f326(f3(f922(x69581,a910)),f326(f301(x69581,x69582),x69583)),f326(f301(x69581,x69582),x69584)),f326(f301(x69581,x69584),x69583))+~P106(f326(f326(f234(x69581),x69582),x69584))
% 178.51/178.26 [7029]~E(x70293,x70294)+E(x70291,f2(a914))+P106(f326(f326(f328(x70292),x70293),f326(f172(x70292),f169(x70292,x70291,x70294))))
% 178.51/178.26 [7308]~P106(f326(f326(f328(f915(x73081)),x73084),f161(x73081,x73083)))+P106(f326(f326(f328(x73081),x73082),x73083))+~P106(f326(f326(f328(x73081),x73082),f326(f172(x73081),x73084)))
% 178.51/178.26 [7315]~P37(x73151,x73152)+P106(f326(f326(f328(x73151),f612(x73152,x73151,x73153)),x73153))+~P106(f326(f326(f328(x73151),x73154),x73153))
% 178.51/178.26 [7370]~P70(x73701)+E(f326(f326(f326(f65(x73701,x73702,f79(x73701)),x73703),f2(x73701)),x73704),f326(f326(f8(x73702,x73701),x73703),x73704))+~P106(f326(f61(x73702),x73704))
% 178.51/178.26 [7372]~P75(x73721)+E(f326(f326(f326(f65(x73721,x73722,f80(x73721)),x73723),f77(x73721)),x73724),f326(f326(f11(x73722,x73721),x73723),x73724))+~P106(f326(f61(x73722),x73724))
% 178.51/178.26 [7401]P24(x74011,x74012,x74013,x74014)+~E(f326(f35(x74012),f326(f309(x74011,x74012,x74013),x74014)),f326(f35(x74011),x74014))+~P106(f326(f61(x74011),x74014))
% 178.51/178.26 [7591]~P70(x75911)+E(f326(f326(f79(x75911),f326(x75912,x75913)),f326(f326(f8(a914,x75911),x75912),f304(a914,x75913,x75914))),f326(f326(f8(a914,x75911),x75912),f302(a914,x75913,x75914)))+~P106(f326(f326(f234(a914),x75913),x75914))
% 178.51/178.26 [7601]~P70(x76011)+~P24(x76012,x76011,x76013,x76014)+E(f326(f326(f8(x76011,x76011),f31(x76011)),f326(f309(x76012,x76011,x76013),x76014)),f326(f326(f8(x76012,x76011),x76013),x76014))
% 178.51/178.26 [7602]~P75(x76021)+~P24(x76022,x76021,x76023,x76024)+E(f326(f326(f11(x76021,x76021),f31(x76021)),f326(f309(x76022,x76021,x76023),x76024)),f326(f326(f11(x76022,x76021),x76023),x76024))
% 178.51/178.26 [7651]E(f326(f35(f920(x76511,x76512)),f312(x76511,x76512,x76513,x76514)),f326(f326(f79(a914),f326(f35(x76511),x76513)),f326(f35(x76512),x76514)))+~P106(f326(f61(x76512),x76514))+~P106(f326(f61(x76511),x76513))
% 178.51/178.26 [7731]E(x77311,x77312)+P106(f326(f326(f328(x77313),x77311),f326(f172(x77313),f170(x77313,x77312,x77314))))+~P106(f326(f326(f328(x77313),x77311),f326(f172(x77313),x77314)))
% 178.51/178.26 [7956]~P70(x79561)+E(f326(f326(f79(x79561),f326(f326(f8(a914,x79561),x79562),f326(f301(a914,x79563),x79564))),f326(x79562,x79564)),f326(f326(f8(a914,x79561),x79562),f326(f301(a914,x79563),f326(a112,x79564))))+P106(f326(f326(f235(a914),x79564),x79563))
% 178.51/178.26 [8006]~P24(x80061,x80062,x80063,f241(f922(x80061,a910)))+~P106(f326(f61(x80062),x80064))+P106(f326(f61(x80061),f326(f310(x80061,x80062,x80063),x80064)))
% 178.51/178.26 [8120]P106(f326(f326(f328(f915(x81201)),f326(f326(f151(x81201),x81202),x81203)),f161(x81201,x81204)))+~P106(f326(f326(f328(f915(x81201)),x81203),f161(x81201,x81204)))+~P106(f326(f326(f328(x81201),x81202),x81204))
% 178.51/178.26 [8206]~E(f326(f309(x82063,x82061,x82064),f241(f922(x82063,a910))),f241(f922(x82061,a910)))+P106(f326(f61(x82061),x82062))+~P106(f326(f61(x82063),f326(f310(x82063,x82061,x82064),x82062)))
% 178.51/178.26 [8297]~P24(x82971,x82973,x82974,x82972)+P106(f326(f61(x82971),x82972))+~P106(f326(f61(x82973),f326(f309(x82971,x82973,x82974),x82972)))
% 178.51/178.26 [8319]~E(x83192,x83193)+P106(f326(f326(f328(f921(x83191,x83191)),f326(f326(f251(x83191,x83191),x83192),x83193)),f262(x83191,x83194)))+~P106(f326(f326(f328(x83191),x83192),x83194))
% 178.51/178.26 [8352]~P70(x83521)+E(f326(f326(f79(x83521),f326(f326(f8(a914,x83521),x83522),f302(a914,x83523,x83524))),f326(x83522,f326(a112,x83524))),f326(f326(f8(a914,x83521),x83522),f302(a914,x83523,f326(a112,x83524))))+P106(f326(f326(f235(a914),f326(a112,x83524)),x83523))
% 178.51/178.26 [8412]P106(f326(x84121,x84122))+~P106(f326(x84121,f326(f326(f164(x84123),x84124),f661(x84121,x84124,x84123))))+~P106(f326(f326(f328(x84123),x84122),f326(f172(x84123),x84124)))
% 178.51/178.26 [8552]~P106(f326(f326(f328(x85521),x85522),f315(x85521,x85524)))+P106(f326(f326(f328(f915(x85521)),f326(f326(f151(x85521),x85522),x85523)),f315(f915(x85521),f157(x85521,x85524))))+~P106(f326(f326(f328(f915(x85521)),x85523),f315(f915(x85521),f157(x85521,x85524))))
% 178.51/178.26 [8567]~P24(x85672,x85673,x85674,f532(x85674,x85673,x85672,x85671))+P24(x85672,x85673,x85674,f38(f922(x85672,a910),x85671))+E(x85671,f188(f922(f922(x85672,a910),a910)))
% 178.51/178.26 [8833]E(x88331,x88332)+~P106(f326(f326(f328(f921(x88333,x88333)),f326(f326(f251(x88333,x88333),x88331),x88332)),f306(x88333,x88334)))+P106(f326(f326(f328(x88333),x88331),f326(f263(x88333,x88333),x88334)))
% 178.51/178.26 [9111]E(x91111,f2(a914))+P106(f326(x91112,x91113))+P106(f326(f326(f328(x91114),f770(x91112,x91113,x91111,x91114)),f326(f172(x91114),f169(x91114,x91111,x91113))))
% 178.51/178.26 [9123]E(x91231,f2(a914))+~P106(f326(x91233,x91234))+P106(f326(f326(f328(x91232),f769(x91233,x91234,x91231,x91232)),f326(f172(x91232),f169(x91232,x91231,x91234))))
% 178.51/178.26 [9125]~P25(x91251,x91252,x91253,f241(f922(x91251,a910)),f241(f922(x91252,a910)))+~P106(f326(f61(x91252),x91254))+P106(f326(f61(x91251),f326(f310(x91251,x91252,x91253),x91254)))
% 178.51/178.26 [9128]P24(x91282,x91283,x91284,f38(f922(x91282,a910),x91281))+E(x91281,f188(f922(f922(x91282,a910),a910)))+P106(f326(f326(f328(f922(x91282,a910)),f532(x91284,x91283,x91282,x91281)),x91281))
% 178.51/178.26 [9243]~P25(x92433,x92431,x92434,f241(f922(x92433,a910)),f241(f922(x92431,a910)))+P106(f326(f61(x92431),x92432))+~P106(f326(f61(x92433),f326(f310(x92433,x92431,x92434),x92432)))
% 178.51/178.26 [9260]P106(f326(f61(x92601),x92602))+~P106(f326(f61(x92604),f326(f309(x92601,x92604,x92603),x92602)))+P106(f326(f326(f328(x92601),f576(x92603,x92604,x92602,x92601)),x92602))
% 178.51/178.26 [9355]~P4(x93552)+E(f326(f326(f64(x93551,x93552,f326(f326(f10(x93552,f922(x93552,x93552),x93551),f101(x93552)),x93553)),f241(x93552)),x93554),f326(f326(f39(x93551,x93552),x93554),x93553))+~P106(f326(f61(x93551),x93554))
% 178.51/178.26 [9356]~P4(x93562)+E(f326(f326(f64(x93561,x93562,f326(f326(f10(x93562,f922(x93562,x93562),x93561),f110(x93562)),x93563)),f188(x93562)),x93564),f326(f326(f40(x93561,x93562),x93564),x93563))+~P106(f326(f61(x93561),x93564))
% 178.51/178.26 [9384]~P106(f326(f326(f286(a914),x93843),x93844))+P106(f326(f326(f286(a914),x93841),x93842))+P106(f326(f326(f235(f922(a914,a910)),f295(a914,f286(a914),x93841,x93842)),f295(a914,f286(a914),x93843,x93844)))
% 178.51/178.26 [9397]~P106(f326(f326(f286(a914),x93972),x93974))+~P106(f326(f326(f286(a914),x93973),x93971))+P106(f326(f326(f234(f922(a914,a910)),f295(a914,f286(a914),x93971,x93972)),f295(a914,f286(a914),x93973,x93974)))
% 178.51/178.26 [9440]P106(f326(x94401,x94402))+~P106(f326(x94401,f326(f326(f164(x94403),x94404),f697(x94402,x94401,x94404,x94403))))+~P106(f326(f326(f328(x94403),x94402),f326(f172(x94403),x94404)))
% 178.51/178.26 [9461]E(x94611,x94612)+~P106(f326(f326(f328(f921(x94613,x94613)),f326(f326(f251(x94613,x94613),x94611),x94612)),f306(x94613,x94614)))+P106(f326(f326(f328(f921(x94613,x94613)),f326(f326(f251(x94613,x94613),x94611),x94612)),f326(f326(f288(x94613,x94613,x94613),x94614),f306(x94613,x94614))))
% 178.51/178.26 [9511]~E(f326(f189(f915(x95111)),x95112),f326(f189(f915(x95111)),x95113))+~P106(f326(f326(f328(f921(f915(x95111),f915(x95111))),f326(f326(f251(f915(x95111),f915(x95111)),x95112),x95113)),f147(x95111,x95114)))+P106(f326(f326(f328(f921(f915(x95111),f915(x95111))),f326(f326(f251(f915(x95111),f915(x95111)),x95112),x95113)),f145(x95111,x95114)))
% 178.51/178.26 [9632]P106(f326(f326(f286(a914),x96321),x96322))+~P106(f326(f326(f286(a914),x96323),x96321))+~P106(f326(f326(f234(f922(a914,a910)),f295(a914,f286(a914),x96323,x96321)),f295(a914,f286(a914),x96324,x96322)))
% 178.51/178.26 [9633]P106(f326(f326(f286(a914),x96331),x96332))+~P106(f326(f326(f286(a914),x96333),x96331))+~P106(f326(f326(f235(f922(a914,a910)),f295(a914,f286(a914),x96333,x96331)),f295(a914,f286(a914),x96334,x96332)))
% 178.51/178.26 [9634]P106(f326(f326(f286(a914),x96341),x96342))+~P106(f326(f326(f286(a914),x96342),x96343))+~P106(f326(f326(f234(f922(a914,a910)),f295(a914,f286(a914),x96342,x96343)),f295(a914,f286(a914),x96341,x96344)))
% 178.51/178.26 [9635]P106(f326(f326(f286(a914),x96351),x96352))+~P106(f326(f326(f286(a914),x96352),x96353))+~P106(f326(f326(f235(f922(a914,a910)),f295(a914,f286(a914),x96352,x96353)),f295(a914,f286(a914),x96351,x96354)))
% 178.51/178.26 [9755]P31(x97551,f326(f326(f20(x97551,a910,a910),f326(f326(f10(a910,f922(a910,a910),x97551),a324),f326(f326(f10(a910,a910,x97551),a321),x97552))),f326(a323,x97553)),x97554)+~P106(f326(x97552,x97553))+~P35(x97551,x97552,f326(f326(f151(x97551),x97553),x97554))
% 178.51/178.26 [9920]~P31(x99201,f326(f326(f20(x99201,a910,a910),f326(f326(f10(a910,f922(a910,a910),x99201),a324),f326(f326(f10(a910,a910,x99201),a321),x99202))),f326(a323,x99203)),x99204)+~P106(f326(x99202,x99203))+P35(x99201,x99202,f326(f326(f151(x99201),x99203),x99204))
% 178.51/178.26 [9924]~P35(x99241,x99242,x99244)+~P31(x99241,f326(f326(f20(x99241,a910,a910),f326(f326(f10(a910,f922(a910,a910),x99241),a324),f326(f326(f10(a910,a910,x99241),a321),x99242))),f326(a323,x99243)),x99244)+P35(x99241,x99242,f326(f326(f151(x99241),x99243),x99244))
% 178.51/178.26 [9957]~P67(x99571)+E(f326(f326(f8(a914,x99571),f326(f326(f20(a914,x99571,x99571),f326(f326(f10(x99571,f922(x99571,x99571),a914),f3(x99571)),x99572)),f326(f326(f10(a914,x99571,a914),x99572),f326(f326(f9(a914,a914,a914),f79(a914)),f77(a914))))),f302(a914,x99573,x99574)),f2(x99571))+P106(f326(f326(f234(a914),x99573),x99574))
% 178.51/178.26 [10186]~P37(x101862,x101864)+~P24(x101862,x101861,x101863,f241(f922(x101862,a910)))+P37(x101861,f326(f309(f921(x101862,x101862),f921(x101861,x101861),f257(x101862,x101861,x101862,x101861,x101863,x101863)),x101864))
% 178.51/178.26 [10381]~E(f326(f189(f915(x103811)),x103813),f326(f189(f915(x103811)),x103812))+P106(f326(f326(f328(f921(f915(x103811),f915(x103811))),f326(f326(f251(f915(x103811),f915(x103811)),x103812),x103813)),f158(x103811,x103814)))+~P106(f326(f326(f256(x103811,x103811,a910),f326(f326(f9(x103811,f922(f921(x103811,x103811),a910),f922(x103811,a910)),f326(f326(f10(f922(x103811,f922(f922(f921(x103811,x103811),a910),a910)),f922(f922(f921(x103811,x103811),a910),f922(x103811,a910)),x103811),f9(x103811,f922(f921(x103811,x103811),a910),a910)),f326(f326(f10(f922(x103811,f921(x103811,x103811)),f922(x103811,f922(f922(f921(x103811,x103811),a910),a910)),x103811),f326(f10(f921(x103811,x103811),f922(f922(f921(x103811,x103811),a910),a910),x103811),f328(f921(x103811,x103811)))),f251(x103811,x103811)))),x103814)),f664(x103814,x103813,x103812,x103811)))
% 178.51/178.26 [6277]~P60(x62771)+~E(x62772,f2(x62771))+E(f326(f326(f36(x62771),f326(f326(f80(x62771),x62772),x62773)),f326(f326(f80(x62771),x62772),x62774)),f2(x62771))
% 178.51/178.26 [6319]E(x63191,f113(x63192))+E(x63193,f326(f326(f3(a914),f326(f189(f915(x63192)),x63191)),f77(a914)))+E(f144(x63192,f326(f326(f159(x63192,x63191),x63193),x63194)),f144(x63192,x63191))
% 178.51/178.26 [6354]E(x63541,x63542)+P106(f326(x63543,x63542))+~P106(f326(f326(f326(f308(x63544),x63541),x63543),x63542))
% 178.51/178.26 [6370]~P70(x63701)+~P106(f326(f137(x63702),x63704))+E(f326(f165(x63701),f326(f326(f154(x63702,x63701),x63703),x63704)),f326(f326(f8(x63702,x63701),x63703),f326(f172(x63702),x63704)))
% 178.51/178.26 [6386]~P75(x63862)+~P106(f326(f61(x63861),x63864))+E(f326(f326(f11(x63861,x63862),f326(f18(x63862,x63861),x63863)),x63864),f326(f326(f243(x63862),x63863),f326(f35(x63861),x63864)))
% 178.51/178.26 [6440]~P63(x64402)+E(x64401,f2(x64402))+E(f326(f326(f289(x64402),f326(f326(f80(x64402),x64403),x64401)),f326(f326(f80(x64402),x64404),x64401)),f326(f326(f289(x64402),x64403),x64404))
% 178.51/178.26 [6441]~P63(x64412)+E(x64411,f2(x64412))+E(f326(f326(f289(x64412),f326(f326(f80(x64412),x64411),x64413)),f326(f326(f80(x64412),x64411),x64414)),f326(f326(f289(x64412),x64413),x64414))
% 178.51/178.26 [6442]~P60(x64422)+E(x64421,f2(x64422))+E(f326(f326(f36(x64422),f326(f326(f80(x64422),x64423),x64421)),f326(f326(f80(x64422),x64424),x64421)),f326(f326(f36(x64422),x64423),x64424))
% 178.51/178.26 [6444]~P60(x64442)+E(x64441,f2(x64442))+E(f326(f326(f36(x64442),f326(f326(f80(x64442),x64441),x64443)),f326(f326(f80(x64442),x64441),x64444)),f326(f326(f36(x64442),x64443),x64444))
% 178.51/178.26 [6510]P106(f326(x65101,x65102))+~E(x65103,f326(f326(f79(a914),x65104),x65102))+~P106(f326(x65101,f326(f326(f3(a914),x65103),x65104)))
% 178.51/178.26 [6597]~P106(f326(x65972,x65973))+~P106(f326(f160(x65971,x65972),x65974))+P106(f326(f160(x65971,x65972),f326(f326(f151(x65971),x65973),x65974)))
% 178.51/178.26 [6637]E(x66371,f113(x66372))+~E(x66373,f326(f326(f3(a914),f326(f189(f915(x66372)),x66371)),f77(a914)))+E(f144(x66372,f326(f326(f159(x66372,x66371),x66373),x66374)),x66374)
% 178.51/178.26 [6660]~P101(x66601)+~P106(f326(f326(f234(x66601),x66602),x66604))+P106(f326(f326(f234(x66601),x66602),f326(f326(f110(x66601),x66603),x66604)))
% 178.51/178.26 [6661]~P101(x66611)+~P106(f326(f326(f234(x66611),x66612),x66613))+P106(f326(f326(f234(x66611),x66612),f326(f326(f110(x66611),x66613),x66614)))
% 178.51/178.26 [6663]~P109(x66631)+~P106(f326(f326(f234(x66631),x66632),x66634))+P106(f326(f326(f234(x66631),x66632),f326(f326(f233(x66631),x66633),x66634)))
% 178.51/178.26 [6665]~P109(x66651)+~P106(f326(f326(f234(x66651),x66652),x66653))+P106(f326(f326(f234(x66651),x66652),f326(f326(f233(x66651),x66653),x66654)))
% 178.51/178.26 [6666]~P101(x66661)+~P106(f326(f326(f235(x66661),x66662),x66664))+P106(f326(f326(f235(x66661),x66662),f326(f326(f110(x66661),x66663),x66664)))
% 178.51/178.26 [6667]~P101(x66671)+~P106(f326(f326(f235(x66671),x66672),x66673))+P106(f326(f326(f235(x66671),x66672),f326(f326(f110(x66671),x66673),x66674)))
% 178.51/178.26 [6669]~P109(x66691)+~P106(f326(f326(f235(x66691),x66692),x66694))+P106(f326(f326(f235(x66691),x66692),f326(f326(f233(x66691),x66693),x66694)))
% 178.51/178.26 [6671]~P109(x66711)+~P106(f326(f326(f235(x66711),x66712),x66713))+P106(f326(f326(f235(x66711),x66712),f326(f326(f233(x66711),x66713),x66714)))
% 178.51/178.26 [6761]~E(f326(f326(f164(x67611),x67612),x67613),x67614)+E(f326(f326(f159(x67611,x67612),x67613),x67614),x67612)+~P106(f326(f326(f235(a914),x67613),f326(f189(f915(x67611)),x67612)))
% 178.51/178.26 [6801]P106(f326(x68011,x68012))+~P106(f326(x68013,x68012))+~P106(f326(f326(f234(f922(x68014,a910)),x68013),x68011))
% 178.51/178.26 [6834]~E(f326(f326(f159(x68341,x68342),x68343),x68344),x68342)+E(f326(f326(f164(x68341),x68342),x68343),x68344)+~P106(f326(f326(f235(a914),x68343),f326(f189(f915(x68341)),x68342)))
% 178.51/178.26 [6848]~P106(f326(f160(x68481,x68482),x68484))+~P106(f326(f160(x68481,x68482),x68483))+P106(f326(f160(x68481,x68482),f326(f326(f134(x68481),x68483),x68484)))
% 178.51/178.26 [6954]E(x69541,f188(f922(x69542,a910)))+E(x69543,f188(f922(x69544,a910)))+~E(f326(f326(f253(x69544,x69542),x69543),f326(f18(f922(x69542,a910),x69544),x69541)),f188(f922(f921(x69544,x69542),a910)))
% 178.51/178.26 [6974]E(x69741,x69742)+P106(f326(f326(f328(x69743),x69741),x69744))+~P106(f326(f326(f328(x69743),x69741),f326(f326(f308(x69743),x69742),x69744)))
% 178.51/178.26 [6991]~P109(x69911)+P106(f326(f326(f234(x69911),x69912),x69913))+~P106(f326(f326(f234(x69911),x69912),f326(f326(f232(x69911),x69914),x69913)))
% 178.51/178.26 [6993]~P109(x69931)+P106(f326(f326(f234(x69931),x69932),x69933))+~P106(f326(f326(f234(x69931),x69932),f326(f326(f232(x69931),x69933),x69934)))
% 178.51/178.26 [6995]~P102(x69951)+P106(f326(f326(f234(x69951),x69952),x69953))+~P106(f326(f326(f234(x69951),x69952),f326(f326(f101(x69951),x69954),x69953)))
% 178.51/178.26 [6997]~P102(x69971)+P106(f326(f326(f234(x69971),x69972),x69973))+~P106(f326(f326(f234(x69971),x69972),f326(f326(f101(x69971),x69973),x69974)))
% 178.51/178.26 [6998]~P109(x69981)+P106(f326(f326(f235(x69981),x69982),x69983))+~P106(f326(f326(f235(x69981),x69982),f326(f326(f232(x69981),x69984),x69983)))
% 178.51/178.26 [6999]~P109(x69991)+P106(f326(f326(f235(x69991),x69992),x69993))+~P106(f326(f326(f235(x69991),x69992),f326(f326(f232(x69991),x69993),x69994)))
% 178.51/178.26 [7020]~E(f326(f326(f164(x70201),x70203),x70204),x70202)+P106(f326(f326(f328(x70201),x70202),f326(f172(x70201),x70203)))+~P106(f326(f326(f235(a914),x70204),f326(f189(f915(x70201)),x70203)))
% 178.51/178.26 [7030]~P109(x70301)+~P12(x70301,f326(f326(f151(x70301),x70302),f326(f326(f151(x70301),x70303),x70304)))+P106(f326(f326(f234(x70301),x70302),x70303))
% 178.51/178.26 [7172]~P31(x71722,x71721,x71723)+P106(f326(x71721,f326(f326(f164(x71722),x71723),x71724)))+~P106(f326(f326(f235(a914),x71724),f326(f189(f915(x71722)),x71723)))
% 178.51/178.26 [7190]E(x71901,f2(a1))+E(f326(f326(f36(a1),x71902),x71901),x71903)+~P106(f326(f49(x71902,x71901),f326(f326(f251(a1,a1),x71903),x71904)))
% 178.51/178.26 [7212]E(f45(a1,x72122,x72121),x72123)+E(x72121,f2(a1))+~P106(f326(f49(x72122,x72121),f326(f326(f251(a1,a1),x72124),x72123)))
% 178.51/178.26 [7332]P106(f326(f326(f328(x73321),x73322),x73323))+~P106(f326(f326(f328(x73321),x73322),x73324))+~P106(f326(f326(f235(f922(x73321,a910)),x73324),x73323))
% 178.51/178.26 [7333]P106(f326(f326(f328(x73331),x73332),x73333))+~P106(f326(f326(f328(x73331),x73332),x73334))+~P106(f326(f326(f234(f922(x73331,a910)),x73334),x73333))
% 178.51/178.26 [7445]P33(x74451,x74452,x74453)+~P106(f326(x74452,f326(f326(f164(x74451),x74453),x74454)))+~P106(f326(f326(f235(a914),x74454),f326(f189(f915(x74451)),x74453)))
% 178.51/178.26 [7557]~P108(x75572)+~P106(f326(f326(f235(f922(x75571,x75572)),x75573),x75574))+P106(f326(f326(f234(f922(x75571,x75572)),x75573),x75574))
% 178.51/178.26 [7640]~P23(x76401,x76402,x76404)+P23(x76401,x76402,f326(f326(f308(f913(x76401)),x76403),x76404))+~P23(x76401,x76402,f326(f326(f308(f913(x76401)),x76403),f188(f922(f913(x76401),a910))))
% 178.51/178.26 [7682]~P106(f326(f326(f328(x76821),x76822),x76824))+P106(f326(f326(f328(x76821),x76822),f37(f922(x76821,a910),x76823)))+~P106(f326(f326(f328(f922(x76821,a910)),x76824),x76823))
% 178.51/178.26 [7684]~P113(x76841)+~P106(f326(f326(f234(a914),x76843),x76844))+P106(f326(f326(f286(x76841),f326(f326(f243(x76841),x76842),x76843)),f326(f326(f243(x76841),x76842),x76844)))
% 178.51/178.26 [7711]~P85(x77111)+~P106(f326(f326(f234(x77111),x77113),x77114))+P106(f326(f326(f234(x77111),f326(f326(f79(x77111),x77112),x77113)),f326(f326(f79(x77111),x77112),x77114)))
% 178.51/178.26 [7712]~P86(x77121)+~P106(f326(f326(f234(x77121),x77123),x77124))+P106(f326(f326(f234(x77121),f326(f326(f79(x77121),x77122),x77123)),f326(f326(f79(x77121),x77122),x77124)))
% 178.51/178.26 [7713]~P85(x77131)+~P106(f326(f326(f234(x77131),x77132),x77134))+P106(f326(f326(f234(x77131),f326(f326(f79(x77131),x77132),x77133)),f326(f326(f79(x77131),x77134),x77133)))
% 178.51/178.26 [7714]~P86(x77141)+~P106(f326(f326(f234(x77141),x77142),x77144))+P106(f326(f326(f234(x77141),f326(f326(f79(x77141),x77142),x77143)),f326(f326(f79(x77141),x77144),x77143)))
% 178.51/178.26 [7715]~P84(x77151)+~P106(f326(f326(f235(x77151),x77153),x77154))+P106(f326(f326(f235(x77151),f326(f326(f79(x77151),x77152),x77153)),f326(f326(f79(x77151),x77152),x77154)))
% 178.51/178.26 [7716]~P85(x77161)+~P106(f326(f326(f235(x77161),x77163),x77164))+P106(f326(f326(f235(x77161),f326(f326(f79(x77161),x77162),x77163)),f326(f326(f79(x77161),x77162),x77164)))
% 178.51/178.26 [7717]~P84(x77171)+~P106(f326(f326(f235(x77171),x77172),x77174))+P106(f326(f326(f235(x77171),f326(f326(f79(x77171),x77172),x77173)),f326(f326(f79(x77171),x77174),x77173)))
% 178.51/178.26 [7718]~P85(x77181)+~P106(f326(f326(f235(x77181),x77182),x77184))+P106(f326(f326(f235(x77181),f326(f326(f79(x77181),x77182),x77183)),f326(f326(f79(x77181),x77184),x77183)))
% 178.51/178.26 [7725]~P111(x77251)+~P94(x77251)+E(f326(f326(f3(x77251),f326(f326(f80(x77251),x77252),f326(f103(x77251),x77253))),f326(f326(f80(x77251),x77254),f326(f103(x77251),x77253))),f326(f326(f80(x77251),f326(f326(f3(x77251),x77252),x77254)),f326(f103(x77251),x77253)))
% 178.51/178.26 [7726]~P139(x77261)+~P94(x77261)+E(f326(f326(f79(x77261),f326(f326(f80(x77261),x77262),f326(f103(x77261),x77263))),f326(f326(f80(x77261),x77264),f326(f103(x77261),x77263))),f326(f326(f80(x77261),f326(f326(f79(x77261),x77262),x77264)),f326(f103(x77261),x77263)))
% 178.51/178.26 [7762]~P70(x77621)+E(f326(f326(f79(x77621),f326(x77622,x77623)),f326(f326(f8(a914,x77621),x77622),f302(a914,f326(a112,x77623),x77624))),f326(f326(f8(a914,x77621),x77622),f302(a914,x77623,x77624)))+~P106(f326(f326(f234(a914),x77623),x77624))
% 178.51/178.26 [7774]~P24(x77742,x77741,x77743,f326(f172(x77742),x77744))+~P106(f326(f137(x77742),x77744))+P106(f326(f137(x77741),f326(f326(f154(x77742,x77741),x77743),x77744)))
% 178.51/178.26 [7821]~P106(f326(f326(f234(a914),x78212),x78214))+~P106(f326(f326(f234(a914),x78211),x78213))+P106(f326(f326(f234(a914),f326(f326(f80(a914),x78211),x78212)),f326(f326(f80(a914),x78213),x78214)))
% 178.51/178.26 [7822]~P106(f326(f326(f234(a914),x78222),x78224))+~P106(f326(f326(f234(a914),x78221),x78223))+P106(f326(f326(f234(a914),f326(f326(f79(a914),x78221),x78222)),f326(f326(f79(a914),x78223),x78224)))
% 178.51/178.26 [7825]~P106(f326(f326(f235(a914),x78252),x78254))+~P106(f326(f326(f235(a914),x78251),x78253))+P106(f326(f326(f235(a914),f326(f326(f79(a914),x78251),x78252)),f326(f326(f79(a914),x78253),x78254)))
% 178.51/178.26 [7826]~P106(f326(f326(f234(a1),x78262),x78264))+~P106(f326(f326(f235(a1),x78261),x78263))+P106(f326(f326(f235(a1),f326(f326(f79(a1),x78261),x78262)),f326(f326(f79(a1),x78263),x78264)))
% 178.51/178.26 [7873]P106(f326(f326(f328(x78731),x78732),x78733))+~P106(f326(f326(f328(x78731),x78732),f38(f922(x78731,a910),x78734)))+~P106(f326(f326(f328(f922(x78731,a910)),x78733),x78734))
% 178.51/178.26 [7889]~P106(f326(x78891,f659(x78891,x78893,x78892)))+P106(f326(x78891,f326(f326(f164(x78892),x78893),x78894)))+~P106(f326(f326(f235(a914),x78894),f326(f189(f915(x78892)),x78893)))
% 178.51/178.26 [7894]P106(f326(x78941,x78942))+~P106(f326(f326(f328(x78944),x78942),f326(f172(x78944),x78943)))+P106(f326(f326(f235(a914),f661(x78941,x78943,x78944)),f326(f189(f915(x78944)),x78943)))
% 178.51/178.26 [7941]~P108(x79411)+~P106(f326(f326(f235(f922(x79412,x79411)),x79414),x79413))+~P106(f326(f326(f234(f922(x79412,x79411)),x79413),x79414))
% 178.51/178.26 [7985]~P106(f326(x79854,x79852))+~P106(f326(f326(f328(x79851),x79852),x79853))+P106(f326(f326(f328(x79851),x79852),f326(f326(f101(f922(x79851,a910)),x79853),f326(f261(x79851),x79854))))
% 178.51/178.26 [8127]~P106(f326(f326(f328(x81271),x81273),x81274))+~P106(f326(f326(f235(f922(x81271,a910)),x81272),x81274))+P106(f326(f326(f235(f922(x81271,a910)),x81272),f326(f326(f308(x81271),x81273),x81274)))
% 178.51/178.26 [8129]E(f326(f326(f101(f922(x81291,a910)),x81292),x81293),f188(f922(x81291,a910)))+~E(f326(f326(f101(f922(x81291,a910)),f37(f922(x81291,a910),x81294)),x81293),f188(f922(x81291,a910)))+~P106(f326(f326(f328(f922(x81291,a910)),x81292),x81294))
% 178.51/178.26 [8202]P106(f326(f326(f328(x82021),x82022),x82023))+~P106(f326(f326(f234(f922(x82021,a910)),x82023),f326(f326(f308(x82021),x82022),x82024)))+P106(f326(f326(f234(f922(x82021,a910)),x82023),x82024))
% 178.51/178.26 [8219]P106(f326(f326(f328(x82192),f659(x82191,x82193,x82192)),f326(f172(x82192),x82193)))+P106(f326(x82191,f326(f326(f164(x82192),x82193),x82194)))+~P106(f326(f326(f235(a914),x82194),f326(f189(f915(x82192)),x82193)))
% 178.51/178.26 [8227]~P106(f326(f326(f234(f922(x82271,a910)),x82272),x82274))+P106(f326(f326(f234(f922(x82271,a910)),x82272),x82273))+~P106(f326(f326(f234(f922(x82271,a910)),x82274),x82273))
% 178.51/178.26 [8228]~P106(f326(f326(f235(f922(x82281,a910)),x82282),x82284))+~P106(f326(f326(f234(f922(x82281,a910)),x82284),x82283))+P106(f326(f326(f235(f922(x82281,a910)),x82282),x82283))
% 178.51/178.26 [8229]~P106(f326(f326(f234(f922(x82291,a910)),x82292),x82294))+~P106(f326(f326(f235(f922(x82291,a910)),x82294),x82293))+P106(f326(f326(f235(f922(x82291,a910)),x82292),x82293))
% 178.51/178.26 [8230]~P106(f326(f326(f235(f922(x82301,a910)),x82302),x82304))+P106(f326(f326(f235(f922(x82301,a910)),x82302),x82303))+~P106(f326(f326(f235(f922(x82301,a910)),x82304),x82303))
% 178.51/178.26 [8273]~P106(f326(f326(f328(x82731),x82734),x82733))+~P106(f326(f326(f235(f922(x82731,a910)),x82732),f326(f326(f308(x82731),x82734),x82733)))+P106(f326(f326(f235(f922(x82731,a910)),x82732),x82733))
% 178.51/178.26 [8284]~P85(x82841)+P106(f326(f326(f234(x82841),x82842),x82843))+~P106(f326(f326(f234(x82841),f326(f326(f79(x82841),x82844),x82842)),f326(f326(f79(x82841),x82844),x82843)))
% 178.51/178.26 [8286]~P85(x82861)+P106(f326(f326(f234(x82861),x82862),x82863))+~P106(f326(f326(f234(x82861),f326(f326(f79(x82861),x82862),x82864)),f326(f326(f79(x82861),x82863),x82864)))
% 178.51/178.26 [8288]~P85(x82881)+P106(f326(f326(f235(x82881),x82882),x82883))+~P106(f326(f326(f235(x82881),f326(f326(f79(x82881),x82884),x82882)),f326(f326(f79(x82881),x82884),x82883)))
% 178.51/178.26 [8290]~P85(x82901)+P106(f326(f326(f235(x82901),x82902),x82903))+~P106(f326(f326(f235(x82901),f326(f326(f79(x82901),x82902),x82904)),f326(f326(f79(x82901),x82903),x82904)))
% 178.51/178.26 [8336]P106(f326(x83361,x83362))+~E(f326(f326(f138(x83363),f326(f189(f915(x83363)),f177(x83363,x83361,x83364))),x83364),f113(x83363))+~P106(f326(f326(f328(x83363),x83362),f326(f172(x83363),x83364)))
% 178.51/178.26 [8454]P106(f326(x84541,x84542))+~P106(f326(f326(f328(x84543),x84542),f326(f172(x84543),x84544)))+P106(f326(f326(f235(a914),f326(f189(f915(x84543)),f326(f136(x84543,x84541),x84544))),f326(f189(f915(x84543)),x84544)))
% 178.51/178.26 [8940]~P106(f326(x89401,f752(x89401,x89403,x89402,x89404)))+P106(f326(x89401,f326(f326(f164(x89402),x89403),x89404)))+~P106(f326(f326(f235(a914),x89404),f326(f189(f915(x89402)),x89403)))
% 178.51/178.26 [8964]~P24(x89644,x89643,x89641,f241(f922(x89644,a910)))+E(f326(x89641,f521(x89642,x89641,x89643,x89644)),x89642)+~P106(f326(f326(f328(x89643),x89642),f326(f309(x89644,x89643,x89641),f241(f922(x89644,a910)))))
% 178.51/178.26 [9032]E(f177(x90321,x90322,x90323),f326(f326(f175(x90321),x90324),x90323))+P106(f326(f326(f235(a914),f723(x90322,x90323,x90321,x90324)),x90324))+P106(f326(f326(f235(a914),x90324),f326(f189(f915(x90321)),x90323)))
% 178.51/178.26 [9035]E(f177(x90351,x90352,x90353),f326(f326(f175(x90351),x90354),x90353))+P106(f326(f326(f235(a914),f723(x90352,x90353,x90351,x90354)),x90354))+P106(f326(x90352,f326(f326(f164(x90351),x90353),x90354)))
% 178.51/178.26 [9070]P106(f326(x90701,x90702))+~P106(f326(f326(f328(x90704),x90702),f326(f172(x90704),x90703)))+P106(f326(f326(f235(a914),f697(x90702,x90701,x90703,x90704)),f326(f189(f915(x90704)),x90703)))
% 178.51/178.26 [9072]E(f177(x90721,x90722,x90723),f326(f326(f175(x90721),x90724),x90723))+P106(f326(f326(f235(a914),x90724),f326(f189(f915(x90721)),x90723)))+P106(f326(f326(f235(a914),f723(x90722,x90723,x90721,x90724)),f326(f189(f915(x90721)),x90723)))
% 178.51/178.26 [9079]E(f177(x90791,x90792,x90793),f326(f326(f175(x90791),x90794),x90793))+P106(f326(x90792,f326(f326(f164(x90791),x90793),x90794)))+P106(f326(f326(f235(a914),f723(x90792,x90793,x90791,x90794)),f326(f189(f915(x90791)),x90793)))
% 178.51/178.26 [9104]~P125(x91044)+P106(f326(f326(f328(x91041),f904(x91042,x91043,x91041,x91044)),x91043))+P106(f326(f326(f235(x91044),f2(x91044)),f326(f326(f11(x91041,x91044),x91042),x91043)))
% 178.51/178.26 [9105]~P125(x91054)+P106(f326(f326(f328(x91051),f905(x91052,x91053,x91051,x91054)),x91053))+P106(f326(f326(f234(x91054),f2(x91054)),f326(f326(f11(x91051,x91054),x91052),x91053)))
% 178.51/178.26 [9130]~P106(f326(f61(x91301),x91304))+P106(f326(f326(f328(x91301),f544(x91302,x91303,x91304,x91301)),x91304))+P106(f326(f61(f921(x91301,x91303)),f326(f326(f253(x91301,x91303),x91304),x91302)))
% 178.51/178.26 [9162]P106(f326(f326(f328(x91622),f752(x91621,x91623,x91622,x91624)),f326(f172(x91622),x91623)))+P106(f326(x91621,f326(f326(f164(x91622),x91623),x91624)))+~P106(f326(f326(f235(a914),x91624),f326(f189(f915(x91622)),x91623)))
% 178.51/178.26 [9291]P106(f326(f326(f234(a914),x92914),f326(f189(f915(x92912)),f177(x92912,x92913,x92911))))+P106(f326(f326(f235(a914),f724(x92911,x92912,x92913,x92914)),x92914))+~P106(f326(f326(f234(a914),x92914),f326(f189(f915(x92912)),x92911)))
% 178.51/178.26 [9444]E(f177(x94441,x94442,x94443),f326(f326(f175(x94441),x94444),x94443))+~P106(f326(x94442,f326(f326(f164(x94441),x94443),f723(x94442,x94443,x94441,x94444))))+P106(f326(f326(f235(a914),x94444),f326(f189(f915(x94441)),x94443)))
% 178.51/178.26 [9451]E(f177(x94511,x94512,x94513),f326(f326(f175(x94511),x94514),x94513))+~P106(f326(x94512,f326(f326(f164(x94511),x94513),f723(x94512,x94513,x94511,x94514))))+P106(f326(x94512,f326(f326(f164(x94511),x94513),x94514)))
% 178.51/178.26 [9455]~P106(f326(f61(x94551),x94553))+~P106(f326(f61(x94552),f326(x94554,f544(x94554,x94552,x94553,x94551))))+P106(f326(f61(f921(x94551,x94552)),f326(f326(f253(x94551,x94552),x94553),x94554)))
% 178.51/178.26 [9463]~P125(x94631)+~P106(f326(f326(f234(x94631),f2(x94631)),f326(x94633,f905(x94633,x94634,x94632,x94631))))+P106(f326(f326(f234(x94631),f2(x94631)),f326(f326(f11(x94632,x94631),x94633),x94634)))
% 178.51/178.26 [9464]~P125(x94641)+~P106(f326(f326(f235(x94641),f2(x94641)),f326(x94643,f904(x94643,x94644,x94642,x94641))))+P106(f326(f326(f235(x94641),f2(x94641)),f326(f326(f11(x94642,x94641),x94643),x94644)))
% 178.51/178.26 [9472]~E(f326(f189(f915(x94724)),x94722),f326(f189(f915(x94724)),x94723))+P106(f326(f326(f328(f921(f915(x94724),f915(x94724))),f326(f326(f251(f915(x94724),f915(x94724)),x94723),x94722)),f158(x94724,x94721)))+P106(f326(f326(f235(a914),f645(x94721,x94722,x94723,x94724)),f326(f189(f915(x94724)),x94723)))
% 178.51/178.26 [9524]~P106(f326(x95243,f326(f326(f164(x95242),x95244),f724(x95244,x95242,x95243,x95241))))+P106(f326(f326(f234(a914),x95241),f326(f189(f915(x95242)),f177(x95242,x95243,x95244))))+~P106(f326(f326(f234(a914),x95241),f326(f189(f915(x95242)),x95244)))
% 178.51/178.26 [9603]E(f326(f326(f175(x96031),f660(x96032,x96033,x96034,x96031)),x96033),f326(f326(f175(x96031),f660(x96032,x96033,x96034,x96031)),x96034))+~P106(f326(f326(f328(f921(f915(x96031),f915(x96031))),f326(f326(f251(f915(x96031),f915(x96031)),x96034),x96033)),f147(x96031,x96032)))+P106(f326(f326(f235(a914),f326(f189(f915(x96031)),x96034)),f326(f189(f915(x96031)),x96033)))
% 178.51/178.26 [9668]~P106(f326(f326(f235(a914),f2(a914)),x96683))+~P106(f326(f326(f235(a914),x96684),x96681))+P106(f326(f326(f235(a914),f326(f326(f79(a914),f326(f326(f80(a914),x96681),f45(a914,x96682,x96683))),x96684)),f326(f326(f80(a914),x96681),x96683)))
% 178.51/178.26 [9860]~P108(x98602)+~P106(f326(f326(f234(x98602),f326(x98603,f908(x98604,x98603,x98601,x98602))),f326(x98604,f908(x98604,x98603,x98601,x98602))))+P106(f326(f326(f234(f922(x98601,x98602)),x98603),x98604))
% 178.51/178.26 [9962]~P67(x99621)+E(f326(f326(f8(a914,x99621),f326(f326(f20(a914,x99621,x99621),f326(f326(f10(x99621,f922(x99621,x99621),a914),f3(x99621)),x99622)),f326(f326(f10(a914,x99621,a914),x99622),f326(f326(f9(a914,a914,a914),f79(a914)),f77(a914))))),f302(a914,x99623,x99624)),f326(f326(f3(x99621),f326(x99622,x99623)),f326(x99622,f326(f326(f79(a914),x99624),f77(a914)))))+~P106(f326(f326(f234(a914),x99623),x99624))
% 178.51/178.26 [10038]~P37(x100383,f326(f326(f288(x100383,x100383,x100383),x100382),f306(x100383,x100382)))+~P106(f326(f326(f328(f921(x100383,x100383)),f326(f326(f251(x100383,x100383),f326(x100381,f326(a112,f838(x100382,x100381,x100383)))),f326(x100381,f838(x100382,x100381,x100383)))),f306(x100383,x100382)))+E(f326(x100381,f326(f326(f79(a914),f837(x100382,x100381,x100383)),x100384)),f326(x100381,f837(x100382,x100381,x100383)))
% 178.51/178.26 [7024]E(f326(f326(f134(x70241),x70242),x70243),x70244)+~E(x70243,f326(f326(f138(x70241),f326(f189(f915(x70241)),x70242)),x70244))+~E(f326(f326(f175(x70241),f326(f189(f915(x70241)),x70242)),x70244),x70242)
% 178.51/178.26 [7077]~P64(x70772)+E(x70771,f2(x70772))+E(f326(f326(f289(x70772),f326(f326(f243(x70772),x70773),x70774)),f326(f326(f243(x70772),x70771),x70774)),f326(f326(f243(x70772),f326(f326(f289(x70772),x70773),x70771)),x70774))
% 178.51/178.26 [7229]~P102(x72291)+~P106(f326(f326(f234(x72291),x72293),x72294))+P106(f326(f326(f234(x72291),f326(f326(f101(x72291),x72292),x72293)),x72294))
% 178.51/178.26 [7230]~P102(x72301)+~P106(f326(f326(f234(x72301),x72302),x72304))+P106(f326(f326(f234(x72301),f326(f326(f101(x72301),x72302),x72303)),x72304))
% 178.51/178.26 [7232]~P109(x72321)+~P106(f326(f326(f234(x72321),x72323),x72324))+P106(f326(f326(f234(x72321),f326(f326(f232(x72321),x72322),x72323)),x72324))
% 178.51/178.26 [7234]~P109(x72341)+~P106(f326(f326(f234(x72341),x72342),x72344))+P106(f326(f326(f234(x72341),f326(f326(f232(x72341),x72342),x72343)),x72344))
% 178.51/178.26 [7235]~P102(x72351)+~P106(f326(f326(f235(x72351),x72353),x72354))+P106(f326(f326(f235(x72351),f326(f326(f101(x72351),x72352),x72353)),x72354))
% 178.51/178.26 [7236]~P102(x72361)+~P106(f326(f326(f235(x72361),x72362),x72364))+P106(f326(f326(f235(x72361),f326(f326(f101(x72361),x72362),x72363)),x72364))
% 178.51/178.26 [7238]~P109(x72381)+~P106(f326(f326(f235(x72381),x72383),x72384))+P106(f326(f326(f235(x72381),f326(f326(f232(x72381),x72382),x72383)),x72384))
% 178.51/178.26 [7240]~P109(x72401)+~P106(f326(f326(f235(x72401),x72402),x72404))+P106(f326(f326(f235(x72401),f326(f326(f232(x72401),x72402),x72403)),x72404))
% 178.51/178.26 [7263]~P106(f326(x72633,x72634))+~P106(f326(x72632,x72634))+P106(f326(f326(f326(f101(f922(x72631,a910)),x72632),x72633),x72634))
% 178.51/178.26 [7387]P23(x73871,x73872,x73873)+~P23(x73871,x73874,x73873)+~P106(f326(f326(f234(f922(f913(x73871),a910)),x73874),x73872))
% 178.51/178.26 [7388]P23(x73881,x73882,x73883)+~P23(x73881,x73882,x73884)+~P106(f326(f326(f234(f922(f913(x73881),a910)),x73883),x73884))
% 178.51/178.26 [7522]~P60(x75221)+E(f326(f326(f36(x75221),f326(f326(f243(x75221),x75222),x75223)),f326(f326(f243(x75221),x75224),x75223)),f326(f326(f243(x75221),f326(f326(f36(x75221),x75222),x75224)),x75223))+~P106(f326(f326(f286(x75221),x75224),x75222))
% 178.51/178.26 [7752]~P70(x77521)+E(f326(f326(f79(x77521),f326(x77522,x77523)),f326(f326(f8(a914,x77521),x77522),f326(f301(a914,f326(a112,x77523)),x77524))),f326(f326(f8(a914,x77521),x77522),f326(f301(a914,x77523),x77524)))+~P106(f326(f326(f235(a914),x77523),x77524))
% 178.51/178.26 [7770]E(x77701,x77702)+P106(f326(f326(f172(x77703),x77704),x77702))+~P106(f326(f326(f172(x77703),f326(f326(f151(x77703),x77701),x77704)),x77702))
% 178.51/178.26 [7782]~P109(x77821)+P106(f326(f326(f234(x77821),x77822),x77823))+~P106(f326(f326(f234(x77821),f326(f326(f233(x77821),x77824),x77822)),x77823))
% 178.51/178.26 [7784]~P109(x77841)+P106(f326(f326(f234(x77841),x77842),x77843))+~P106(f326(f326(f234(x77841),f326(f326(f233(x77841),x77842),x77844)),x77843))
% 178.51/178.26 [7786]~P101(x77861)+P106(f326(f326(f234(x77861),x77862),x77863))+~P106(f326(f326(f234(x77861),f326(f326(f110(x77861),x77864),x77862)),x77863))
% 178.51/178.26 [7788]~P101(x77881)+P106(f326(f326(f234(x77881),x77882),x77883))+~P106(f326(f326(f234(x77881),f326(f326(f110(x77881),x77882),x77884)),x77883))
% 178.51/178.26 [7789]~P109(x77891)+P106(f326(f326(f235(x77891),x77892),x77893))+~P106(f326(f326(f235(x77891),f326(f326(f233(x77891),x77894),x77892)),x77893))
% 178.51/178.26 [7790]~P109(x77901)+P106(f326(f326(f235(x77901),x77902),x77903))+~P106(f326(f326(f235(x77901),f326(f326(f233(x77901),x77902),x77904)),x77903))
% 178.51/178.26 [7865]~P106(f326(f326(f328(x78651),x78652),x78654))+P106(f326(f326(f328(x78651),x78652),x78653))+P106(f326(f326(f328(x78651),x78652),f326(f326(f3(f922(x78651,a910)),x78654),x78653)))
% 178.51/178.26 [7948]P106(f326(x79481,x79482))+P106(f326(x79483,x79482))+~P106(f326(f326(f326(f110(f922(x79484,a910)),x79483),x79481),x79482))
% 178.51/178.26 [7959]~P106(f326(f326(f328(x79591),x79592),x79594))+~P106(f326(f326(f328(x79591),x79592),x79593))+P106(f326(f326(f328(x79591),x79592),f326(f326(f101(f922(x79591,a910)),x79593),x79594)))
% 178.51/178.26 [8007]~P101(x80071)+~P106(f326(f61(x80071),x80074))+E(f326(f326(f64(x80071,x80071,f110(x80071)),x80072),f326(f326(f308(x80071),x80073),x80074)),f326(f326(f110(x80071),x80073),f326(f326(f64(x80071,x80071,f110(x80071)),x80072),x80074)))
% 178.51/178.26 [8008]~P102(x80081)+~P106(f326(f61(x80081),x80084))+E(f326(f326(f64(x80081,x80081,f101(x80081)),x80082),f326(f326(f308(x80081),x80083),x80084)),f326(f326(f101(x80081),x80083),f326(f326(f64(x80081,x80081,f101(x80081)),x80082),x80084)))
% 178.51/178.26 [8009]~P109(x80091)+~P106(f326(f61(x80091),x80094))+E(f326(f326(f64(x80091,x80091,f232(x80091)),x80092),f326(f326(f308(x80091),x80093),x80094)),f326(f326(f232(x80091),x80093),f326(f326(f64(x80091,x80091,f232(x80091)),x80092),x80094)))
% 178.51/178.26 [8010]~P109(x80101)+~P106(f326(f61(x80101),x80104))+E(f326(f326(f64(x80101,x80101,f233(x80101)),x80102),f326(f326(f308(x80101),x80103),x80104)),f326(f326(f233(x80101),x80103),f326(f326(f64(x80101,x80101,f233(x80101)),x80102),x80104)))
% 178.51/178.26 [8011]~P111(x80111)+~P94(x80111)+E(f326(f326(f3(x80111),f326(f326(f80(x80111),f326(f103(x80111),x80112)),x80113)),f326(f326(f80(x80111),f326(f103(x80111),x80112)),x80114)),f326(f326(f80(x80111),f326(f103(x80111),x80112)),f326(f326(f3(x80111),x80113),x80114)))
% 178.51/178.26 [8012]~P139(x80121)+~P94(x80121)+E(f326(f326(f79(x80121),f326(f326(f80(x80121),f326(f103(x80121),x80122)),x80123)),f326(f326(f80(x80121),f326(f103(x80121),x80122)),x80124)),f326(f326(f80(x80121),f326(f103(x80121),x80122)),f326(f326(f79(x80121),x80123),x80124)))
% 178.51/178.26 [8125]E(x81251,x81252)+P106(f326(f326(f328(x81253),x81251),f326(f172(x81253),x81254)))+~P106(f326(f326(f328(x81253),x81251),f326(f172(x81253),f326(f326(f151(x81253),x81252),x81254))))
% 178.51/178.26 [8295]P54(x82951,x82952,x82953)+~P54(x82951,x82952,x82954)+~P106(f326(f326(f234(f922(f921(x82951,x82952),a910)),x82953),x82954))
% 178.51/178.26 [8338]P106(f326(f326(f328(x83381),x83382),x83383))+P106(f326(f326(f328(x83381),x83382),x83384))+~P106(f326(f326(f328(x83381),x83382),f326(f326(f110(f922(x83381,a910)),x83384),x83383)))
% 178.51/178.26 [8348]~P52(x83481,x83484,x83483)+~P106(f326(f326(f328(x83481),x83482),x83484))+P106(f326(f326(f328(f921(x83481,x83481)),f326(f326(f251(x83481,x83481),x83482),x83482)),x83483))
% 178.51/178.26 [8360]~P106(f326(f61(x83602),x83604))+~P106(f326(f61(x83601),x83603))+P106(f326(f61(f921(x83601,x83602)),f326(f326(f253(x83601,x83602),x83603),f326(f18(f922(x83602,a910),x83601),x83604))))
% 178.51/178.26 [8361]~P106(f326(f326(f328(x83611),x83612),x83614))+~P106(f326(f326(f234(f922(x83611,a910)),x83613),x83614))+P106(f326(f326(f234(f922(x83611,a910)),f326(f326(f308(x83611),x83612),x83613)),x83614))
% 178.51/178.26 [8368]~P75(x83682)+~P144(x83682)+E(f326(f326(f11(x83681,x83682),f326(f326(f10(a914,x83682,x83681),f100(x83682)),x83683)),x83684),f326(f100(x83682),f326(f326(f11(x83681,a914),x83683),x83684)))
% 178.51/178.26 [8369]~P75(x83692)+~P141(x83692)+E(f326(f326(f11(x83691,x83692),f326(f326(f10(a1,x83692,x83691),f102(x83692)),x83693)),x83694),f326(f102(x83692),f326(f326(f11(x83691,a1),x83693),x83694)))
% 178.51/178.26 [8393]E(f326(f326(f3(f922(x83931,a910)),x83932),f326(f326(f3(f922(x83931,a910)),x83933),x83934)),x83934)+~P106(f326(f326(f234(f922(x83931,a910)),x83932),x83933))+~P106(f326(f326(f234(f922(x83931,a910)),x83934),x83932))
% 178.51/178.26 [8489]~P106(f326(f61(x84891),x84894))+E(f326(f326(f3(a914),f326(f326(f8(x84891,a914),x84892),x84893)),f326(f326(f8(x84891,a914),x84892),x84894)),f326(f326(f8(x84891,a914),x84892),f326(f326(f3(f922(x84891,a910)),x84893),x84894)))+~P106(f326(f326(f234(f922(x84891,a910)),x84894),x84893))
% 178.51/178.26 [8639]~P7(x86391,x86394,x86393)+~P106(f326(f326(f328(x86391),x86392),x86394))+P106(f326(f326(f328(x86391),x86392),f326(f284(x86391,x86391,x86393),f326(f326(f308(x86391),x86392),f188(f922(x86391,a910))))))
% 178.51/178.26 [8699]~P106(f326(f326(f234(f922(x86991,a910)),x86992),x86993))+~P106(f326(f326(f234(f922(x86991,a910)),x86992),x86994))+P106(f326(f326(f234(f922(x86991,a910)),x86992),f326(f326(f101(f922(x86991,a910)),x86993),x86994)))
% 178.51/178.26 [8801]E(x88011,f188(f922(x88012,a910)))+P106(f326(f61(x88013),x88014))+~P106(f326(f61(f921(x88013,x88012)),f326(f326(f253(x88013,x88012),x88014),f326(f18(f922(x88012,a910),x88013),x88011))))
% 178.51/178.26 [8802]E(x88021,f188(f922(x88022,a910)))+P106(f326(f61(x88023),x88024))+~P106(f326(f61(f921(x88022,x88023)),f326(f326(f253(x88022,x88023),x88021),f326(f18(f922(x88023,a910),x88022),x88024))))
% 178.51/178.26 [8875]P106(f326(f326(f328(x88751),x88752),f315(x88751,x88753)))+~P106(f326(f326(f328(x88751),x88754),f315(x88751,x88753)))+~P106(f326(f326(f328(f921(x88751,x88751)),f326(f326(f251(x88751,x88751),x88752),x88754)),x88753))
% 178.51/178.26 [8932]~P37(x89321,x89324)+P106(f326(f326(f328(f921(x89321,x89321)),f326(f326(f251(x89321,x89321),x89323),x89322)),f306(x89321,x89324)))+P37(x89321,f326(f326(f308(f921(x89321,x89321)),f326(f326(f251(x89321,x89321),x89322),x89323)),x89324))
% 178.51/178.26 [8933]~P57(x89331,x89334)+P106(f326(f326(f328(f921(x89331,x89331)),f326(f326(f251(x89331,x89331),x89333),x89332)),f306(x89331,x89334)))+P57(x89331,f326(f326(f308(f921(x89331,x89331)),f326(f326(f251(x89331,x89331),x89332),x89333)),x89334))
% 178.51/178.26 [9015]~E(x90152,x90153)+~P106(f326(f326(f328(x90151),x90152),f326(f172(x90151),x90154)))+P106(f326(f326(f328(f921(x90151,x90151)),f326(f326(f251(x90151,x90151),x90152),x90153)),f326(f172(f921(x90151,x90151)),f326(f326(f181(x90151,x90151),x90154),x90154))))
% 178.51/178.26 [9103]~E(x91033,x91034)+P106(f326(f326(f256(x91031,x91031,a910),a323),x91032))+~P106(f326(f326(f328(f921(x91031,x91031)),x91032),f326(f172(f921(x91031,x91031)),f326(f326(f181(x91031,x91031),x91033),x91034))))
% 178.51/178.26 [9147]P106(f326(f326(f328(f921(f915(x91471),f915(x91471))),f326(f326(f251(f915(x91471),f915(x91471)),x91472),x91473)),f147(x91471,x91474)))+~E(f326(f326(f175(x91471),f326(f189(f915(x91471)),x91472)),x91473),x91472)+~P106(f326(f326(f235(a914),f326(f189(f915(x91471)),x91472)),f326(f189(f915(x91471)),x91473)))
% 178.51/178.26 [9150]~P51(x91501,x91504)+~P106(f326(f326(f328(f921(x91501,x91501)),f326(f326(f251(x91501,x91501),x91503),x91502)),x91504))+P106(f326(f326(f328(f921(x91501,x91501)),f326(f326(f251(x91501,x91501),x91502),x91503)),x91504))
% 178.51/178.26 [9241]~P106(f326(f61(x92411),x92414))+P106(f326(f326(f328(x92411),f462(x92412,x92413,x92414,x92411)),x92414))+P106(f326(f61(x92413),f326(f326(f40(x92411,f922(x92413,a910)),x92414),x92412)))
% 178.51/178.26 [9242]~P106(f326(f61(x92421),x92424))+P106(f326(f326(f328(x92421),f584(x92422,x92423,x92424,x92421)),x92424))+P106(f326(f61(x92423),f326(f326(f40(x92421,f922(x92423,a910)),x92424),x92422)))
% 178.51/178.26 [9327]P106(f326(f326(f328(f921(x93271,x93271)),x93272),f326(f326(f288(x93271,x93271,x93271),x93273),f306(x93271,x93273))))+~P106(f326(f326(f235(a914),f2(a914)),x93274))+~P106(f326(f326(f328(f921(x93271,x93271)),x93272),f326(f326(f183(f921(x93271,x93271),a910),x93274),x93273)))
% 178.51/178.26 [9335]~P37(x93351,x93352)+~P106(f326(f326(f328(f921(x93351,x93351)),f326(f326(f251(x93351,x93351),x93354),x93353)),x93352))+~P106(f326(f326(f328(f921(x93351,x93351)),f326(f326(f251(x93351,x93351),x93353),x93354)),x93352))
% 178.51/178.26 [9462]~P106(f326(f61(x94621),x94624))+E(f326(f326(f8(x94621,a914),f326(f326(f10(f922(x94622,a910),a914,x94621),f35(x94622)),x94623)),x94624),f326(f35(f921(x94621,x94622)),f326(f326(f253(x94621,x94622),x94624),x94623)))+P106(f326(f326(f328(x94621),f545(x94623,x94622,x94624,x94621)),x94624))
% 178.51/178.26 [9466]~P106(f326(f137(x94661),x94662))+P106(f326(f137(x94661),f326(f326(f159(x94661,x94662),x94663),x94664)))+P106(f326(f326(f328(x94661),x94664),f326(f326(f3(f922(x94661,a910)),f326(f172(x94661),x94662)),f326(f326(f308(x94661),f326(f326(f164(x94661),x94662),x94663)),f188(f922(x94661,a910))))))
% 178.51/178.26 [9483]~P106(f326(f61(x94832),x94833))+~P106(f326(f61(x94831),f326(x94834,f462(x94834,x94831,x94833,x94832))))+P106(f326(f61(x94831),f326(f326(f40(x94832,f922(x94831,a910)),x94833),x94834)))
% 178.51/178.26 [9484]~P106(f326(f61(x94842),x94843))+~P106(f326(f61(x94841),f326(x94844,f584(x94844,x94841,x94843,x94842))))+P106(f326(f61(x94841),f326(f326(f40(x94842,f922(x94841,a910)),x94843),x94844)))
% 178.51/178.26 [9562]~P106(f326(f326(f328(f921(x95621,x95621)),x95622),f326(f326(f288(x95621,x95621,x95621),x95624),f306(x95621,x95624))))+P106(f326(f326(f328(f921(x95621,x95621)),x95622),f326(f326(f288(x95621,x95621,x95621),x95623),f306(x95621,x95623))))+~P106(f326(f326(f234(f922(f921(x95621,x95621),a910)),x95624),x95623))
% 178.51/178.26 [9570]E(f326(f326(f175(x95701),f660(x95704,x95703,x95702,x95701)),x95703),f326(f326(f175(x95701),f660(x95704,x95703,x95702,x95701)),x95702))+~P106(f326(f326(f328(f921(f915(x95701),f915(x95701))),f326(f326(f251(f915(x95701),f915(x95701)),x95702),x95703)),f147(x95701,x95704)))+E(f326(f326(f175(x95701),f326(f189(f915(x95701)),x95702)),x95703),x95702)
% 178.51/178.26 [9586]~P106(f326(f61(x95861),x95864))+E(f326(f326(f8(x95861,a914),f326(f326(f10(f922(x95862,a910),a914,x95861),f35(x95862)),x95863)),x95864),f326(f35(f921(x95861,x95862)),f326(f326(f253(x95861,x95862),x95864),x95863)))+~P106(f326(f61(x95862),f326(x95863,f545(x95863,x95862,x95864,x95861))))
% 178.51/178.26 [9590]~E(f326(f189(f915(x95901)),x95903),f326(f189(f915(x95901)),x95902))+P106(f326(f326(f328(f921(f915(x95901),f915(x95901))),f326(f326(f251(f915(x95901),f915(x95901)),x95902),x95903)),f158(x95901,x95904)))+P106(f326(f326(f328(f921(x95901,x95901)),f664(x95904,x95903,x95902,x95901)),f326(f172(f921(x95901,x95901)),f326(f326(f181(x95901,x95901),x95902),x95903))))
% 178.51/178.26 [9680]~P106(f326(f326(f328(f921(f915(x96801),f915(x96801))),f326(f326(f251(f915(x96801),f915(x96801)),x96802),x96803)),f147(x96801,x96804)))+E(f326(f326(f175(x96801),f326(f189(f915(x96801)),x96802)),x96803),x96802)+P106(f326(f326(f235(a914),f660(x96804,x96803,x96802,x96801)),f326(f326(f232(a914),f326(f189(f915(x96801)),x96802)),f326(f189(f915(x96801)),x96803))))
% 178.51/178.26 [9704]~P106(f326(f326(f328(f921(f915(x97041),f915(x97041))),f326(f326(f251(f915(x97041),f915(x97041)),x97042),x97043)),f147(x97041,x97044)))+P106(f326(f326(f235(a914),f326(f189(f915(x97041)),x97042)),f326(f189(f915(x97041)),x97043)))+P106(f326(f326(f235(a914),f660(x97044,x97043,x97042,x97041)),f326(f326(f232(a914),f326(f189(f915(x97041)),x97042)),f326(f189(f915(x97041)),x97043))))
% 178.51/178.26 [10107]~P106(f326(f326(f328(f921(f915(x101071),f915(x101071))),f326(f326(f251(f915(x101071),f915(x101071)),x101072),x101073)),f147(x101071,x101074)))+E(f326(f326(f175(x101071),f326(f189(f915(x101071)),x101072)),x101073),x101072)+P106(f326(f326(f328(f921(x101071,x101071)),f326(f326(f251(x101071,x101071),f326(f326(f164(x101071),x101072),f660(x101074,x101073,x101072,x101071))),f326(f326(f164(x101071),x101073),f660(x101074,x101073,x101072,x101071)))),x101074))
% 178.51/178.26 [10108]~P106(f326(f326(f328(f921(f915(x101081),f915(x101081))),f326(f326(f251(f915(x101081),f915(x101081)),x101082),x101083)),f147(x101081,x101084)))+P106(f326(f326(f235(a914),f326(f189(f915(x101081)),x101082)),f326(f189(f915(x101081)),x101083)))+P106(f326(f326(f328(f921(x101081,x101081)),f326(f326(f251(x101081,x101081),f326(f326(f164(x101081),x101082),f660(x101084,x101083,x101082,x101081))),f326(f326(f164(x101081),x101083),f660(x101084,x101083,x101082,x101081)))),x101084))
% 178.51/178.26 [10164]~E(f326(f189(f915(x101641)),x101642),f326(f189(f915(x101641)),x101643))+P106(f326(f326(f328(f921(f915(x101641),f915(x101641))),f326(f326(f251(f915(x101641),f915(x101641)),x101642),x101643)),f158(x101641,x101644)))+~P106(f326(f326(f328(f921(x101641,x101641)),f326(f326(f251(x101641,x101641),f326(f326(f164(x101641),x101642),f645(x101644,x101643,x101642,x101641))),f326(f326(f164(x101641),x101643),f645(x101644,x101643,x101642,x101641)))),x101644))
% 178.51/178.26 [10312]~P70(x103121)+~P106(f326(f61(x103122),x103124))+E(f326(f165(x103121),f326(f326(f154(x103122,x103121),x103123),f89(f915(x103122),f326(f326(f20(f915(x103122),a910,a910),f326(f326(f10(a910,f922(a910,a910),f915(x103122)),a325),f326(f326(f9(f915(x103122),f922(x103122,a910),a910),f326(f326(f10(f922(x103122,a910),f922(f922(x103122,a910),a910),f915(x103122)),a323),f172(x103122))),x103124))),f137(x103122))))),f231(x103122,x103121,x103123,x103124))
% 178.51/178.26 [7603]~P63(x76032)+E(x76031,f2(x76032))+E(f326(f326(f289(x76032),f326(f326(f79(x76032),x76033),f326(f326(f80(x76032),x76034),x76031))),x76031),f326(f326(f79(x76032),x76034),f326(f326(f289(x76032),x76033),x76031)))
% 178.51/178.26 [7604]~P60(x76042)+E(x76041,f2(x76042))+E(f326(f326(f36(x76042),f326(f326(f79(x76042),x76043),f326(f326(f80(x76042),x76044),x76041))),x76041),f326(f326(f79(x76042),x76044),f326(f326(f36(x76042),x76043),x76041)))
% 178.51/178.26 [7605]~P60(x76052)+E(x76051,f2(x76052))+E(f326(f326(f36(x76052),f326(f326(f79(x76052),x76053),f326(f326(f80(x76052),x76051),x76054))),x76051),f326(f326(f79(x76052),x76054),f326(f326(f36(x76052),x76053),x76051)))
% 178.51/178.26 [7829]~P64(x78292)+E(x78291,f2(x78292))+E(f326(f326(f289(x78292),f326(f326(f3(x78292),x78293),f326(f326(f80(x78292),x78291),x78294))),x78291),f326(f326(f3(x78292),f326(f326(f289(x78292),x78293),x78291)),x78294))
% 178.51/178.26 [7830]~P63(x78302)+E(x78301,f2(x78302))+E(f326(f326(f289(x78302),f326(f326(f79(x78302),x78303),f326(f326(f80(x78302),x78304),x78301))),x78301),f326(f326(f79(x78302),f326(f326(f289(x78302),x78303),x78301)),x78304))
% 178.51/178.26 [7831]~P64(x78312)+E(x78311,f2(x78312))+E(f326(f326(f289(x78312),f326(f326(f79(x78312),x78313),f326(f326(f80(x78312),x78311),x78314))),x78311),f326(f326(f79(x78312),f326(f326(f289(x78312),x78313),x78311)),x78314))
% 178.51/178.26 [8521]~P106(f326(f160(x85211,x85213),x85214))+~P106(f326(f160(x85211,x85212),x85214))+P106(f326(f160(x85211,f326(f326(f101(f922(x85211,a910)),x85212),x85213)),x85214))
% 178.51/178.26 [8890]~E(f326(f326(f288(x88901,x88901,x88901),x88902),x88904),f188(f922(f921(x88901,x88901),a910)))+~E(f326(f326(f288(x88901,x88901,x88901),x88902),x88903),f188(f922(f921(x88901,x88901),a910)))+E(f326(f326(f288(x88901,x88901,x88901),x88902),f326(f326(f110(f922(f921(x88901,x88901),a910)),x88903),x88904)),f188(f922(f921(x88901,x88901),a910)))
% 178.51/178.26 [9016]~P106(f326(f326(f234(f922(x90161,a910)),x90163),x90164))+~P106(f326(f326(f234(f922(x90161,a910)),x90162),x90164))+P106(f326(f326(f234(f922(x90161,a910)),f326(f326(f110(f922(x90161,a910)),x90162),x90163)),x90164))
% 178.51/178.26 [9389]~P106(f326(f61(x93891),x93894))+~P106(f326(f61(x93891),x93893))+E(f326(f326(f3(a914),f326(f326(f79(a914),f326(f326(f8(x93891,a914),x93892),x93893)),f326(f326(f8(x93891,a914),x93892),x93894))),f326(f326(f8(x93891,a914),x93892),f326(f326(f101(f922(x93891,a910)),x93893),x93894))),f326(f326(f8(x93891,a914),x93892),f326(f326(f110(f922(x93891,a910)),x93893),x93894)))
% 178.51/178.26 [9480]~P106(f326(f326(f328(x94801),x94803),x94802))+~P106(f326(f326(f234(f922(x94801,a910)),x94802),f326(f326(f308(x94801),x94803),x94804)))+P106(f326(f326(f234(f922(x94801,a910)),f326(f326(f3(f922(x94801,a910)),x94802),f326(f326(f308(x94801),x94803),f188(f922(x94801,a910))))),x94804))
% 178.51/178.26 [9654]~P106(f326(f326(f328(x96541),x96543),x96542))+P106(f326(f326(f234(f922(x96541,a910)),x96542),f326(f326(f308(x96541),x96543),x96544)))+~P106(f326(f326(f234(f922(x96541,a910)),f326(f326(f3(f922(x96541,a910)),x96542),f326(f326(f308(x96541),x96543),f188(f922(x96541,a910))))),x96544))
% 178.51/178.26 [9744]~P106(f326(f326(f234(a914),x97441),x97443))+~P106(f326(f326(f235(a914),x97442),x97444))+P106(f326(f326(f328(f921(f921(a914,a914),f921(a914,a914))),f326(f326(f251(f921(a914,a914),f921(a914,a914)),f326(f326(f251(a914,a914),x97441),x97442)),f326(f326(f251(a914,a914),x97443),x97444))),a32))
% 178.51/178.26 [9745]~P106(f326(f326(f234(a914),x97452),x97454))+~P106(f326(f326(f234(a914),x97451),x97453))+P106(f326(f326(f328(f921(f921(a914,a914),f921(a914,a914))),f326(f326(f251(f921(a914,a914),f921(a914,a914)),f326(f326(f251(a914,a914),x97451),x97452)),f326(f326(f251(a914,a914),x97453),x97454))),a70))
% 178.51/178.26 [10036]~P106(f326(f326(f328(f915(x100361)),x100364),f161(x100361,x100363)))+~P106(f326(f326(f328(f915(x100361)),x100364),f161(x100361,x100362)))+P106(f326(f160(x100361,f326(f326(f101(f922(x100361,a910)),f326(f326(f9(x100361,f922(x100361,a910),a910),f328(x100361)),x100362)),f326(f326(f9(x100361,f922(x100361,a910),a910),f328(x100361)),x100363))),x100364))
% 178.51/178.26 [10130]~P24(x101301,f922(f922(x101301,a910),a910),f326(f326(f9(x101301,f922(f921(x101301,x101301),a910),f922(f922(x101301,a910),a910)),f326(f326(f10(f922(x101301,a910),f922(f922(f921(x101301,x101301),a910),f922(f922(x101301,a910),a910)),x101301),f60(x101301)),f326(f326(f9(x101301,f922(x101301,a910),f922(x101301,a910)),f308(x101301)),f188(f922(x101301,a910))))),x101303),x101302)+~P106(f326(f326(f328(x101301),x101304),x101302))+E(f326(f326(f3(f922(f922(x101301,a910),a910)),f326(f326(f60(x101301),x101302),x101303)),f326(f326(f60(x101301),f326(f326(f308(x101301),x101304),f188(f922(x101301,a910)))),x101303)),f326(f326(f60(x101301),f326(f326(f3(f922(x101301,a910)),x101302),f326(f326(f308(x101301),x101304),f188(f922(x101301,a910))))),x101303))
% 178.51/178.26 [10263]~P52(x102631,x102632,x102634)+~P106(f326(f326(f328(f921(x102631,x102631)),x102633),x102634))+P106(f326(f326(f256(x102631,x102631,a910),f326(f326(f9(x102631,f922(x102631,a910),f922(x102631,a910)),f326(f326(f10(f922(a910,a910),f922(f922(x102631,a910),f922(x102631,a910)),x102631),f10(a910,a910,x102631)),f326(f326(f10(a910,f922(a910,a910),x102631),a325),f326(f326(f9(x102631,f922(x102631,a910),a910),f328(x102631)),x102632)))),f326(f326(f9(x102631,f922(x102631,a910),a910),f328(x102631)),x102632))),x102633))
% 178.51/178.26 [10278]P106(f326(f61(x102781),x102782))+~P106(f326(f61(x102783),f326(f309(x102781,x102783,x102784),x102782)))+~P106(f326(f61(x102781),f326(f261(x102781),f326(f326(f20(x102781,a910,a910),f326(f326(f10(a910,f922(a910,a910),x102781),a325),f326(f326(f9(x102781,f922(x102781,a910),a910),f328(x102781)),x102782))),f326(f326(f9(x102781,x102783,a910),f326(f326(f10(x102783,f922(x102783,a910),x102781),a323),x102784)),f326(x102784,f576(x102784,x102783,x102782,x102781)))))))
% 178.51/178.26 [8279]~P64(x82792)+E(x82791,f2(x82792))+E(f326(f326(f289(x82792),f326(f326(f3(x82792),f326(f326(f80(x82792),x82791),x82793)),x82794)),x82791),f326(f326(f3(x82792),x82793),f326(f326(f289(x82792),x82794),x82791)))
% 178.51/178.26 [8280]~P64(x82802)+E(x82801,f2(x82802))+E(f326(f326(f289(x82802),f326(f326(f79(x82802),f326(f326(f80(x82802),x82801),x82803)),x82804)),x82801),f326(f326(f79(x82802),x82803),f326(f326(f289(x82802),x82804),x82801)))
% 178.51/178.26 [9176]~E(f326(f326(f288(x91761,x91761,x91761),x91763),x91764),f188(f922(f921(x91761,x91761),a910)))+~E(f326(f326(f288(x91761,x91761,x91761),x91762),x91764),f188(f922(f921(x91761,x91761),a910)))+E(f326(f326(f288(x91761,x91761,x91761),f326(f326(f110(f922(f921(x91761,x91761),a910)),x91762),x91763)),x91764),f188(f922(f921(x91761,x91761),a910)))
% 178.51/178.26 [9952]~P106(f326(f160(x99521,x99523),x99524))+~P106(f326(f160(x99521,x99522),x99524))+P106(f326(f160(x99521,f326(f326(f20(x99521,a910,a910),f326(f326(f10(a910,f922(a910,a910),x99521),a325),x99522)),x99523)),x99524))
% 178.51/178.26 [10199]P106(f326(x101991,f551(x101992,x101993,x101991,x101994)))+~P106(f326(f61(x101994),f326(f261(x101994),x101991)))+P106(f326(f61(x101993),f326(f261(x101993),f326(f326(f10(f922(x101994,a910),a910,x101993),f86(x101994)),f326(f326(f10(f922(x101994,a910),f922(x101994,a910),x101993),f326(f20(x101994,a910,a910),f326(f326(f10(a910,f922(a910,a910),x101994),a325),x101991))),x101992)))))
% 178.51/178.26 [10217]~P106(f326(f61(x102172),f326(f261(x102172),x102173)))+~P106(f326(f61(x102171),f326(f261(x102171),f326(f326(f9(x102171,x102172,a910),x102174),f551(x102174,x102171,x102173,x102172)))))+P106(f326(f61(x102171),f326(f261(x102171),f326(f326(f10(f922(x102172,a910),a910,x102171),f86(x102172)),f326(f326(f10(f922(x102172,a910),f922(x102172,a910),x102171),f326(f20(x102172,a910,a910),f326(f326(f10(a910,f922(a910,a910),x102172),a325),x102173))),x102174)))))
% 178.51/178.26 [10291]~P106(f326(f61(x102911),x102914))+P106(f326(f326(f328(x102911),f795(x102912,x102913,x102914,x102911)),x102914))+P106(f326(f61(x102913),f326(f261(x102913),f326(f326(f10(f922(x102911,a910),a910,x102913),f86(x102911)),f326(f326(f10(f922(x102911,a910),f922(x102911,a910),x102913),f326(f20(x102911,a910,a910),f326(f326(f10(a910,f922(a910,a910),x102911),a325),f326(f326(f9(x102911,f922(x102911,a910),a910),f328(x102911)),x102914)))),x102912)))))
% 178.51/178.26 [10297]~P106(f326(f61(x102972),x102973))+~P106(f326(f61(x102971),f326(f261(x102971),f326(f326(f9(x102971,x102972,a910),x102974),f795(x102974,x102971,x102973,x102972)))))+P106(f326(f61(x102971),f326(f261(x102971),f326(f326(f10(f922(x102972,a910),a910,x102971),f86(x102972)),f326(f326(f10(f922(x102972,a910),f922(x102972,a910),x102971),f326(f20(x102972,a910,a910),f326(f326(f10(a910,f922(a910,a910),x102972),a325),f326(f326(f9(x102972,f922(x102972,a910),a910),f328(x102972)),x102973)))),x102974)))))
% 178.51/178.26 [5214]~E(x52142,x52144)+E(f169(x52141,x52142,x52143),f169(x52141,x52144,x52145))+~E(x52142,f2(a914))
% 178.51/178.26 [5469]E(x54691,x54692)+~E(f169(x54694,x54693,x54691),f169(x54694,x54695,x54692))+E(x54693,f2(a914))
% 178.51/178.26 [6740]E(x67401,x67402)+~E(f326(x67403,x67401),f326(x67403,x67402))+~P24(x67404,x67405,x67403,f241(f922(x67404,a910)))
% 178.51/178.26 [7635]E(x76351,x76352)+~P24(x76353,x76354,x76355,f241(f922(x76353,a910)))+~E(f326(f309(x76353,x76354,x76355),x76351),f326(f309(x76353,x76354,x76355),x76352))
% 178.51/178.26 [7882]P24(x78822,x78823,f512(x78824,x78823,x78822,x78821),x78821)+~E(f326(f309(x78823,x78822,x78825),x78824),x78821)+E(x78821,f188(f922(x78822,a910)))
% 178.51/178.26 [8404]~P106(f326(f326(x84043,x84042),x84045))+~P106(f326(f326(x84043,x84044),x84042))+P106(f326(f326(f328(x84041),x84042),f298(x84041,x84043,x84044,x84045)))
% 178.51/178.26 [8405]~P106(f326(f326(x84053,x84052),x84055))+~P106(f326(f326(x84053,x84054),x84052))+P106(f326(f326(f328(x84051),x84052),f295(x84051,x84053,x84054,x84055)))
% 178.51/178.26 [8707]~P24(x87071,x87072,x87073,x87074)+P25(x87071,x87072,x87073,x87074,x87075)+~E(f326(f309(x87071,x87072,x87073),x87074),x87075)
% 178.51/178.26 [8840]~P25(x88401,x88403,x88404,x88402,x88405)+~P106(f326(f61(x88403),x88405))+P106(f326(f61(x88401),x88402))
% 178.51/178.26 [8841]~P25(x88413,x88411,x88414,x88415,x88412)+~P106(f326(f61(x88413),x88415))+P106(f326(f61(x88411),x88412))
% 178.51/178.26 [8973]~P24(x89731,x89733,x89735,f241(f922(x89731,a910)))+~P24(x89733,x89732,x89734,f241(f922(x89733,a910)))+P24(x89731,x89732,f326(f72(x89733,x89732,x89731,x89734),x89735),f241(f922(x89731,a910)))
% 178.51/178.26 [9539]P106(f326(f326(f328(f921(x95391,x95391)),f326(f326(f251(x95391,x95391),x95392),x95393)),f306(x95391,x95394)))+~P106(f326(f326(f328(f921(x95391,x95391)),f326(f326(f251(x95391,x95391),x95392),x95395)),f306(x95391,x95394)))+~P106(f326(f326(f328(f921(x95391,x95391)),f326(f326(f251(x95391,x95391),x95395),x95393)),f306(x95391,x95394)))
% 178.51/178.26 [9577]~P109(x95772)+~P106(f326(f137(x95771),x95775))+P106(f326(f137(x95771),f149(x95771,x95772,x95773,x95774,x95775)))
% 178.51/178.26 [5544]~E(x55442,f113(x55441))+E(f326(f326(f134(x55441),x55442),x55443),f326(f326(f151(x55441),x55444),x55445))+~E(x55443,f326(f326(f151(x55441),x55444),x55445))
% 178.51/178.26 [5545]~E(x55452,f113(x55451))+E(f326(f326(f134(x55451),x55452),x55453),f326(f326(f151(x55451),x55454),x55455))+~E(f326(f326(f151(x55451),x55454),x55455),x55453)
% 178.51/178.26 [6697]~E(f326(f189(f915(x66971)),x66975),f326(f189(f915(x66972)),x66974))+E(f326(f326(f154(f921(x66971,x66972),x66972),f255(x66971,x66972)),x66973),x66974)+~E(f326(f326(f181(x66971,x66972),x66975),x66974),x66973)
% 178.51/178.26 [6698]~E(f326(f189(f915(x66981)),x66984),f326(f189(f915(x66982)),x66985))+E(f326(f326(f154(f921(x66981,x66982),x66981),f250(x66981,x66982)),x66983),x66984)+~E(f326(f326(f181(x66981,x66982),x66984),x66985),x66983)
% 178.51/178.26 [7173]~P109(x71731)+~P12(x71731,f326(f326(f154(x71732,x71731),x71733),x71735))+P12(x71731,f326(f326(f154(x71732,x71731),x71733),f326(f136(x71732,x71734),x71735)))
% 178.51/178.26 [7217]~P106(f326(x72173,x72175))+~P106(f326(f326(x72172,x72174),x72175))+P106(f326(f326(f92(x72171,x72172,x72173),x72174),x72175))
% 178.51/178.26 [7316]~P109(x73161)+P12(x73161,f326(f326(f154(x73162,x73161),x73163),f170(x73162,x73164,x73165)))+~P12(x73161,f326(f326(f154(x73162,x73161),x73163),x73165))
% 178.51/178.26 [7339]~P54(x73393,x73392,x73395)+~P54(x73391,x73393,x73394)+P54(x73391,x73392,f326(f326(f288(x73391,x73393,x73392),x73394),x73395))
% 178.51/178.26 [7434]E(x74341,x74342)+~P24(x74343,x74344,x74345,f241(f922(x74343,a910)))+~E(f326(f326(f154(x74343,x74344),x74345),x74341),f326(f326(f154(x74343,x74344),x74345),x74342))
% 178.51/178.26 [7589]~P106(f326(f326(f234(a914),x75891),f326(x75893,x75895)))+P106(f326(f326(f234(a914),x75891),f155(x75892,x75893,x75894)))+~P106(f326(f326(f328(x75892),x75895),f326(f172(x75892),x75894)))
% 178.51/178.26 [7590]~P106(f326(f326(f235(a914),x75901),f326(x75903,x75905)))+P106(f326(f326(f235(a914),x75901),f155(x75902,x75903,x75904)))+~P106(f326(f326(f328(x75902),x75905),f326(f172(x75902),x75904)))
% 178.51/178.26 [7978]P106(f326(x79781,x79782))+~P106(f326(x79781,x79783))+~P106(f326(f326(f328(x79784),x79782),f326(f172(x79784),f169(x79784,x79785,x79783))))
% 178.51/178.26 [7979]P106(f326(x79791,x79792))+~P106(f326(x79791,x79793))+~P106(f326(f326(f328(x79794),x79793),f326(f172(x79794),f169(x79794,x79795,x79792))))
% 178.51/178.26 [7984]~P110(x79841)+P106(f326(f326(f234(f922(x79841,a910)),f302(x79841,x79842,x79843)),f302(x79841,x79844,x79845)))+P106(f326(f326(f234(x79841),x79842),x79843))
% 178.51/178.26 [8005]~P4(x80051)+P106(f326(f326(f234(x80051),f326(f326(f39(x80052,x80051),x80053),x80054)),f326(x80054,x80055)))+~P106(f326(f326(f328(x80052),x80055),x80053))
% 178.51/178.26 [8072]~P24(x80721,x80722,x80724,x80723)+E(f326(f76(x80721,x80722,x80723,x80724),f326(x80724,x80725)),x80725)+~P106(f326(f326(f328(x80721),x80725),x80723))
% 178.51/178.26 [8073]~P24(x80731,x80732,x80734,x80733)+E(f326(f91(x80731,x80732,x80733,x80734),f326(x80734,x80735)),x80735)+~P106(f326(f326(f328(x80731),x80735),x80733))
% 178.51/178.26 [8268]~P106(f326(x82681,x82685))+P106(f326(x82681,f369(x82681,x82682,x82683,x82684)))+~P106(f326(f326(f328(x82684),x82685),x82683))
% 178.51/178.26 [8269]~P106(f326(x82691,x82695))+P106(f326(x82691,f369(x82691,x82692,x82693,x82694)))+~P106(f326(f326(f328(x82694),x82695),x82692))
% 178.51/178.26 [8358]P106(f326(f61(x83581),x83582))+~P106(f326(f61(x83583),x83584))+~P106(f326(f326(f234(f922(x83581,a910)),x83582),f326(f309(x83583,x83581,x83585),x83584)))
% 178.51/178.26 [8525]E(x85251,x85252)+~P24(x85253,x85254,x85255,f326(f326(f110(f922(x85253,a910)),f326(f172(x85253),x85251)),f326(f172(x85253),x85252)))+~E(f326(f326(f154(x85253,x85254),x85255),x85251),f326(f326(f154(x85253,x85254),x85255),x85252))
% 178.51/178.26 [8577]~P110(x85771)+~P106(f326(f326(f235(f922(x85771,a910)),f302(x85771,x85774,x85775)),f302(x85771,x85772,x85773)))+P106(f326(f326(f234(x85771),x85772),x85773))
% 178.51/178.26 [8638]~P24(x86381,x86384,x86385,f241(f922(x86381,a910)))+~P106(f326(f326(f328(x86384),f326(x86385,x86382)),f326(f309(x86381,x86384,x86385),x86383)))+P106(f326(f326(f328(x86381),x86382),x86383))
% 178.51/178.26 [8713]P106(f326(x87131,x87132))+~P106(f326(x87131,f380(x87131,x87133,x87134,x87135)))+~P106(f326(f326(f328(x87135),x87132),x87134))
% 178.51/178.26 [8714]P106(f326(x87141,x87142))+~P106(f326(x87141,f380(x87141,x87143,x87144,x87145)))+~P106(f326(f326(f328(x87145),x87142),x87143))
% 178.51/178.26 [9013]~P24(x90132,x90133,x90131,x90134)+E(f326(x90131,f326(f76(x90132,x90133,x90134,x90131),x90135)),x90135)+~P106(f326(f326(f328(x90133),x90135),f326(f309(x90132,x90133,x90131),x90134)))
% 178.51/178.26 [9116]E(x91161,f113(x91162))+E(f326(f326(f151(x91162),x91163),f680(x91164,x91163,x91165,x91161,x91162)),x91161)+~E(f326(f326(f134(x91162),x91161),x91165),f326(f326(f151(x91162),x91163),x91164))
% 178.51/178.26 [9117]E(x91171,f113(x91172))+E(f326(f326(f151(x91172),x91173),f681(x91174,x91171,x91175,x91173,x91172)),x91171)+~E(f326(f326(f134(x91172),x91171),x91174),f326(f326(f151(x91172),x91173),x91175))
% 178.51/178.26 [9135]E(f326(f326(f151(x91352),x91353),f680(x91354,x91353,x91351,x91355,x91352)),x91355)+~E(f326(f326(f134(x91352),x91355),x91351),f326(f326(f151(x91352),x91353),x91354))+E(x91351,f326(f326(f151(x91352),x91353),x91354))
% 178.51/178.26 [9136]E(f326(f326(f151(x91361),x91362),f681(x91364,x91365,x91363,x91362,x91361)),x91365)+~E(f326(f326(f134(x91361),x91365),x91364),f326(f326(f151(x91361),x91362),x91363))+E(f326(f326(f151(x91361),x91362),x91363),x91364)
% 178.51/178.26 [9212]~E(f326(f309(x92123,x92122,x92124),f241(f922(x92123,a910))),f241(f922(x92122,a910)))+~E(f326(f309(x92121,x92123,x92125),f241(f922(x92121,a910))),f241(f922(x92123,a910)))+E(f326(f309(x92121,x92122,f326(f72(x92123,x92122,x92121,x92124),x92125)),f241(f922(x92121,a910))),f241(f922(x92122,a910)))
% 178.51/178.26 [9583]E(x95831,f113(x95832))+~E(f326(f326(f134(x95832),x95831),x95833),f326(f326(f151(x95832),x95835),x95834))+E(f326(f326(f134(x95832),f681(x95833,x95831,x95834,x95835,x95832)),x95833),x95834)
% 178.51/178.26 [9584]E(x95841,f113(x95842))+~E(f326(f326(f134(x95842),x95841),x95845),f326(f326(f151(x95842),x95844),x95843))+E(f326(f326(f134(x95842),f680(x95843,x95844,x95845,x95841,x95842)),x95845),x95843)
% 178.51/178.26 [9591]E(f326(f326(f134(x95912),f680(x95914,x95913,x95911,x95915,x95912)),x95911),x95914)+~E(f326(f326(f134(x95912),x95915),x95911),f326(f326(f151(x95912),x95913),x95914))+E(x95911,f326(f326(f151(x95912),x95913),x95914))
% 178.51/178.26 [9592]~E(f326(f326(f134(x95921),x95925),x95924),f326(f326(f151(x95921),x95922),x95923))+E(f326(f326(f134(x95921),f681(x95924,x95925,x95923,x95922,x95921)),x95924),x95923)+E(f326(f326(f151(x95921),x95922),x95923),x95924)
% 178.51/178.26 [9593]E(f326(f326(f134(x95931),x95935),f683(x95933,x95932,x95934,x95935,x95931)),x95932)+E(f326(f326(f134(x95931),x95932),f682(x95933,x95932,x95934,x95935,x95931)),x95935)+~E(f326(f326(f134(x95931),x95935),x95934),f326(f326(f134(x95931),x95932),x95933))
% 178.51/178.26 [9630]~P109(x96301)+P12(x96301,f326(f326(f154(x96302,x96301),x96303),f149(x96302,x96301,x96303,x96304,x96305)))+~P12(x96301,f326(f326(f154(x96302,x96301),x96303),x96305))
% 178.51/178.26 [9649]~P58(x96495,x96491,x96494,x96493)+P106(f326(f326(x96491,x96492),f531(x96493,x96494,x96491,x96495,x96492)))+~P106(f326(f326(f328(x96495),x96492),x96494))
% 178.51/178.26 [9650]~P58(x96505,x96501,x96504,x96503)+P106(f326(f326(x96501,x96502),f797(x96503,x96504,x96501,x96505,x96502)))+~P106(f326(f326(f328(x96505),x96502),x96504))
% 178.51/178.26 [9756]~P106(f326(f326(f328(f921(x97561,x97561)),f326(f326(f251(x97561,x97561),x97565),x97563)),f306(x97561,x97564)))+P106(f326(f326(f328(f921(x97561,x97561)),f326(f326(f251(x97561,x97561),x97562),x97563)),f326(f326(f288(x97561,x97561,x97561),x97564),f306(x97561,x97564))))+~P106(f326(f326(f328(f921(x97561,x97561)),f326(f326(f251(x97561,x97561),x97562),x97565)),f326(f326(f288(x97561,x97561,x97561),x97564),f306(x97561,x97564))))
% 178.51/178.26 [9757]~P106(f326(f326(f328(f921(x97571,x97571)),f326(f326(f251(x97571,x97571),x97572),x97575)),f306(x97571,x97574)))+P106(f326(f326(f328(f921(x97571,x97571)),f326(f326(f251(x97571,x97571),x97572),x97573)),f326(f326(f288(x97571,x97571,x97571),x97574),f306(x97571,x97574))))+~P106(f326(f326(f328(f921(x97571,x97571)),f326(f326(f251(x97571,x97571),x97575),x97573)),f326(f326(f288(x97571,x97571,x97571),x97574),f306(x97571,x97574))))
% 178.51/178.26 [9759]P106(f326(f326(f328(f921(f915(x97591),f915(x97591))),f326(f326(f251(f915(x97591),f915(x97591)),x97592),x97593)),f158(x97591,f306(x97591,x97594))))+~P106(f326(f326(f328(f921(f915(x97591),f915(x97591))),f326(f326(f251(f915(x97591),f915(x97591)),x97592),x97595)),f158(x97591,f306(x97591,x97594))))+~P106(f326(f326(f328(f921(f915(x97591),f915(x97591))),f326(f326(f251(f915(x97591),f915(x97591)),x97595),x97593)),f158(x97591,f306(x97591,x97594))))
% 178.51/178.26 [9763]E(f326(f326(f134(x97631),x97632),f682(x97633,x97632,x97634,x97635,x97631)),x97635)+E(f326(f326(f134(x97631),f683(x97633,x97632,x97634,x97635,x97631)),x97633),x97634)+~E(f326(f326(f134(x97631),x97632),x97633),f326(f326(f134(x97631),x97635),x97634))
% 178.51/178.26 [9764]E(f326(f326(f134(x97641),x97642),f683(x97643,x97644,x97645,x97642,x97641)),x97644)+E(f326(f326(f134(x97641),f682(x97643,x97644,x97645,x97642,x97641)),x97645),x97643)+~E(f326(f326(f134(x97641),x97642),x97645),f326(f326(f134(x97641),x97644),x97643))
% 178.51/178.26 [9818]P106(f326(f326(f328(f921(x98181,x98181)),f326(f326(f251(x98181,x98181),x98182),x98183)),f326(f326(f288(x98181,x98181,x98181),x98184),f306(x98181,x98184))))+~P106(f326(f326(f328(f921(x98181,x98181)),f326(f326(f251(x98181,x98181),x98182),x98185)),f326(f326(f288(x98181,x98181,x98181),x98184),f306(x98181,x98184))))+~P106(f326(f326(f328(f921(x98181,x98181)),f326(f326(f251(x98181,x98181),x98185),x98183)),f326(f326(f288(x98181,x98181,x98181),x98184),f306(x98181,x98184))))
% 178.51/178.26 [9845]P34(x98451,x98452,x98453,x98454,x98455)+~E(f326(f189(f915(x98451)),x98454),f326(f189(f915(x98452)),x98455))+~P106(f326(f326(f256(x98451,x98452,a910),x98453),f698(x98455,x98454,x98453,x98452,x98451)))
% 178.51/178.26 [9846]P34(x98461,x98462,x98463,x98464,x98465)+~E(f326(f189(f915(x98461)),x98464),f326(f189(f915(x98462)),x98465))+~P106(f326(f326(f256(x98461,x98462,a910),x98463),f699(x98463,x98465,x98464,x98462,x98461)))
% 178.51/178.26 [9851]E(f326(f326(f134(x98511),f682(x98512,x98513,x98514,x98515,x98511)),x98514),x98512)+~E(f326(f326(f134(x98511),x98513),x98512),f326(f326(f134(x98511),x98515),x98514))+E(f326(f326(f134(x98511),f683(x98512,x98513,x98514,x98515,x98511)),x98512),x98514)
% 178.51/178.26 [9866]~P109(x98662)+E(f326(f326(f148(x98661,x98662,x98663),x98664),x98665),f326(f326(f151(x98661),x98664),x98665))+P106(f326(f326(f328(x98661),f744(x98664,x98663,x98665,x98661,x98662)),f326(f172(x98661),x98665)))
% 178.51/178.26 [9870]~P58(x98701,x98704,x98703,x98702)+~P106(f326(f326(f328(x98701),x98705),x98703))+P106(f326(f326(f328(x98701),f531(x98702,x98703,x98704,x98701,x98705)),x98702))
% 178.51/178.26 [9871]~P58(x98711,x98714,x98713,x98712)+~P106(f326(f326(f328(x98711),x98715),x98713))+P106(f326(f326(f328(x98711),f797(x98712,x98713,x98714,x98711,x98715)),x98712))
% 178.51/178.26 [9985]~P106(f326(f326(f328(f921(f922(x99851,a910),f922(x99851,a910))),f326(f326(f251(f922(x99851,a910),f922(x99851,a910)),x99854),x99853)),f318(x99851,x99852)))+~P106(f326(f326(f328(x99851),x99855),x99854))+P106(f326(f326(f328(x99851),f608(x99852,x99853,x99854,x99851,x99855)),x99853))
% 178.51/178.26 [9996]~P109(x99962)+E(f326(f326(f148(x99961,x99962,x99963),x99964),x99965),f326(f326(f151(x99961),x99964),x99965))+~P106(f326(f326(f234(x99962),f326(x99963,x99964)),f326(x99963,f744(x99964,x99963,x99965,x99961,x99962))))
% 178.51/178.26 [10045]~P24(x100453,x100454,x100455,f241(f922(x100453,a910)))+P106(f326(x100451,x100452))+~P106(f326(x100451,f326(f91(x100453,x100454,f241(f922(x100453,a910)),x100455),f811(x100452,x100451,x100455,x100454,x100453))))
% 178.51/178.26 [10181]P34(x101811,x101812,x101813,x101814,x101815)+~E(f326(f189(f915(x101811)),x101814),f326(f189(f915(x101812)),x101815))+~P106(f326(f326(x101813,f326(f326(f164(x101811),x101814),f700(x101815,x101814,x101813,x101812,x101811))),f326(f326(f164(x101812),x101815),f700(x101815,x101814,x101813,x101812,x101811))))
% 178.51/178.26 [10182]P34(x101821,x101822,x101823,x101824,x101825)+~E(f326(f189(f915(x101821)),x101824),f326(f189(f915(x101822)),x101825))+~P106(f326(f326(x101823,f326(f326(f164(x101821),x101824),f736(x101823,x101825,x101822,x101824,x101821))),f326(f326(f164(x101822),x101825),f736(x101823,x101825,x101822,x101824,x101821))))
% 178.51/178.26 [6770]~P16(x67702,x67705,x67701)+~P106(f326(f61(x67702),x67704))+E(f326(x67701,f326(f326(f308(x67702),x67703),x67704)),f326(f326(f64(x67702,x67702,x67705),x67703),x67704))
% 178.51/178.26 [6771]~E(x67713,x67714)+~E(x67712,x67715)+E(f326(f326(f308(x67711),x67712),f326(f326(f308(x67711),x67713),f188(f922(x67711,a910)))),f326(f326(f308(x67711),x67714),f326(f326(f308(x67711),x67715),f188(f922(x67711,a910)))))
% 178.51/178.26 [6782]P106(f326(x67822,x67825))+E(f177(x67821,x67822,f326(f326(f134(x67821),x67823),x67824)),f177(x67821,x67822,x67823))+~P106(f326(f326(f328(x67821),x67825),f326(f172(x67821),x67823)))
% 178.51/178.26 [6818]E(f326(x68181,x68182),f188(f922(x68183,a910)))+~E(f326(f326(f40(x68184,f922(x68183,a910)),x68185),x68181),f188(f922(x68183,a910)))+~P106(f326(f326(f328(x68184),x68182),x68185))
% 178.51/178.26 [6819]E(f326(x68191,x68192),f241(f922(x68193,a910)))+~E(f326(f326(f39(x68194,f922(x68193,a910)),x68195),x68191),f241(f922(x68193,a910)))+~P106(f326(f326(f328(x68194),x68192),x68195))
% 178.51/178.26 [7326]~E(x73262,x73264)+~P138(x73261)+E(f326(f326(f79(x73261),f326(f326(f80(x73261),x73262),x73263)),f326(f326(f80(x73261),x73264),x73265)),f326(f326(f79(x73261),f326(f326(f80(x73261),x73262),x73265)),f326(f326(f80(x73261),x73264),x73263)))
% 178.51/178.26 [7386]~P4(x73861)+~P106(f326(f326(f328(x73864),x73863),x73865))+P106(f326(f326(f234(x73861),f326(x73862,x73863)),f326(f326(f40(x73864,x73861),x73865),x73862)))
% 178.51/178.26 [7439]~P108(x74391)+P106(f326(f326(f234(x74391),f326(x74392,x74393)),f326(x74394,x74393)))+~P106(f326(f326(f234(f922(x74395,x74391)),x74392),x74394))
% 178.51/178.26 [7558]E(x75581,x75582)+E(x75583,x75581)+~E(f326(f326(f308(x75584),x75581),f326(f326(f308(x75584),x75585),f188(f922(x75584,a910)))),f326(f326(f308(x75584),x75582),f326(f326(f308(x75584),x75583),f188(f922(x75584,a910)))))
% 178.51/178.26 [7559]E(x75591,x75592)+E(x75593,x75591)+~E(f326(f326(f308(x75594),x75593),f326(f326(f308(x75594),x75592),f188(f922(x75594,a910)))),f326(f326(f308(x75594),x75595),f326(f326(f308(x75594),x75591),f188(f922(x75594,a910)))))
% 178.51/178.26 [7560]E(x75601,x75602)+E(x75601,x75603)+~E(f326(f326(f308(x75604),x75603),f326(f326(f308(x75604),x75602),f188(f922(x75604,a910)))),f326(f326(f308(x75604),x75605),f326(f326(f308(x75604),x75601),f188(f922(x75604,a910)))))
% 178.51/178.26 [7561]E(x75611,x75612)+E(x75611,x75613)+~E(f326(f326(f308(x75614),x75611),f326(f326(f308(x75614),x75615),f188(f922(x75614,a910)))),f326(f326(f308(x75614),x75612),f326(f326(f308(x75614),x75613),f188(f922(x75614,a910)))))
% 178.51/178.26 [8082]P24(x80821,x80822,x80823,x80824)+~P24(x80821,x80822,x80823,x80825)+~P106(f326(f326(f234(f922(x80821,a910)),x80824),x80825))
% 178.51/178.26 [8111]~E(f326(x81113,x81115),x81114)+~P24(x81111,x81112,x81113,f241(f922(x81111,a910)))+E(f326(f91(x81111,x81112,f241(f922(x81111,a910)),x81113),x81114),x81115)
% 178.51/178.26 [8257]E(x82571,x82572)+~E(f326(f309(x82573,x82574,x82575),x82571),f326(f309(x82573,x82574,x82575),x82572))+~P24(x82573,x82574,x82575,f326(f326(f110(f922(x82573,a910)),x82571),x82572))
% 178.51/178.26 [8328]P106(f326(x83282,x83284))+E(f326(f326(f138(x83281),f326(f189(f915(x83281)),f177(x83281,x83282,x83283))),x83283),f326(f326(f151(x83281),x83284),x83285))+~E(f326(f326(f134(x83281),f177(x83281,x83282,x83283)),f326(f326(f151(x83281),x83284),x83285)),x83283)
% 178.51/178.26 [8356]~P24(x83561,x83562,x83563,x83565)+~P24(x83561,x83562,x83563,x83564)+P24(x83561,x83562,x83563,f326(f326(f101(f922(x83561,a910)),x83564),x83565))
% 178.51/178.26 [8463]~P70(x84631)+E(f326(f326(f79(x84631),f326(x84632,x84633)),f326(f165(x84631),f326(f326(f154(x84634,x84631),x84632),f170(x84634,x84633,x84635)))),f326(f165(x84631),f326(f326(f154(x84634,x84631),x84632),x84635)))+~P106(f326(f326(f328(x84634),x84633),f326(f172(x84634),x84635)))
% 178.51/178.26 [8551]~P109(x85511)+~P12(x85511,f326(f326(f154(x85512,x85511),x85513),x85515))+P12(x85511,f326(f326(f154(x85512,x85511),x85513),f326(f326(f148(x85512,x85511,x85513),x85514),x85515)))
% 178.51/178.26 [8634]~P4(x86341)+P106(f326(f326(f234(x86341),f326(f326(f39(x86342,x86341),x86343),x86344)),f326(f326(f39(x86342,x86341),x86345),x86344)))+~P106(f326(f326(f234(f922(x86342,a910)),x86345),x86343))
% 178.51/178.26 [8635]~P4(x86351)+P106(f326(f326(f234(x86351),f326(f326(f40(x86352,x86351),x86353),x86354)),f326(f326(f40(x86352,x86351),x86355),x86354)))+~P106(f326(f326(f234(f922(x86352,a910)),x86353),x86355))
% 178.51/178.26 [8668]~P109(x86683)+P106(f326(f137(x86681),x86682))+~P106(f326(f137(x86681),f326(f326(f148(x86681,x86683,x86684),x86685),x86682)))
% 178.51/178.26 [8812]~P109(x88121)+~P106(f326(f326(f328(x88122),x88123),f326(f172(x88122),x88124)))+~P106(f326(f137(x88122),f326(f326(f148(x88122,x88121,x88125),x88123),x88124)))
% 178.51/178.26 [8902]~P109(x89021)+P12(x89021,f326(f326(f154(x89022,x89021),x89023),x89024))+~P12(x89021,f326(f326(f154(x89022,x89021),x89023),f326(f326(f148(x89022,x89021,x89023),x89025),x89024)))
% 178.51/178.26 [8948]~P24(x89482,x89481,x89484,x89483)+E(f326(f309(x89481,x89482,f91(x89482,x89481,x89483,x89484)),f326(f309(x89482,x89481,x89484),x89485)),x89485)+~P106(f326(f326(f234(f922(x89482,a910)),x89485),x89483))
% 178.51/178.26 [9001]~P109(x90012)+E(f326(f326(f148(x90011,x90012,x90013),x90014),x90015),f149(x90011,x90012,x90013,x90014,x90015))+P106(f326(f326(f328(x90012),f326(x90013,x90014)),f326(f309(x90011,x90012,x90013),f326(f172(x90011),x90015))))
% 178.51/178.26 [9082]~P109(x90822)+E(f149(x90821,x90822,x90823,x90824,x90825),x90825)+~P106(f326(f326(f328(x90822),f326(x90823,x90824)),f326(f309(x90821,x90822,x90823),f326(f172(x90821),x90825))))
% 178.51/178.26 [9096]~P24(x90962,x90961,x90963,x90965)+P106(f326(f326(f235(f922(x90961,a910)),f326(f309(x90962,x90961,x90963),x90964)),f326(f309(x90962,x90961,x90963),x90965)))+~P106(f326(f326(f235(f922(x90962,a910)),x90964),x90965))
% 178.51/178.26 [9253]~P24(x92531,x92532,x92533,f241(f922(x92531,a910)))+~P106(f326(f326(f234(f922(x92532,a910)),x92534),f326(f309(x92531,x92532,x92533),x92535)))+P106(f326(f326(f234(f922(x92531,a910)),f326(f310(x92531,x92532,x92533),x92534)),x92535))
% 178.51/178.26 [9276]~E(f326(f309(x92763,x92761,x92764),f241(f922(x92763,a910))),f241(f922(x92761,a910)))+P106(f326(f326(f234(f922(x92761,a910)),x92762),f326(f309(x92763,x92761,x92764),x92765)))+~P106(f326(f326(f234(f922(x92763,a910)),f326(f310(x92763,x92761,x92764),x92762)),x92765))
% 178.51/178.26 [9381]~P24(x93811,x93814,x93815,f241(f922(x93811,a910)))+~P106(f326(f326(f234(f922(x93814,a910)),f326(f309(x93811,x93814,x93815),x93812)),f326(f309(x93811,x93814,x93815),x93813)))+P106(f326(f326(f234(f922(x93811,a910)),x93812),x93813))
% 178.51/178.26 [9507]~P83(x95071)+~E(f326(x95073,f719(x95073,x95074,x95075,x95072,x95071)),f2(x95071))+E(f326(f165(x95071),f326(f326(f154(x95072,x95071),x95073),f326(f136(x95072,x95074),x95075))),f326(f165(x95071),f326(f326(f154(x95072,x95071),x95073),x95075)))
% 178.51/178.26 [9534]~P25(x95341,x95342,x95343,f241(f922(x95341,a910)),f241(f922(x95342,a910)))+~P106(f326(f326(f234(f922(x95342,a910)),x95344),f326(f309(x95341,x95342,x95343),x95345)))+P106(f326(f326(f234(f922(x95341,a910)),f326(f310(x95341,x95342,x95343),x95344)),x95345))
% 178.51/178.26 [9563]~P25(x95633,x95631,x95634,f241(f922(x95633,a910)),f241(f922(x95631,a910)))+P106(f326(f326(f234(f922(x95631,a910)),x95632),f326(f309(x95633,x95631,x95634),x95635)))+~P106(f326(f326(f234(f922(x95633,a910)),f326(f310(x95633,x95631,x95634),x95632)),x95635))
% 178.51/178.26 [9697]~P15(x96971,x96972,x96973)+~P106(f326(f61(x96971),x96975))+P106(f326(f66(x96971,x96972,x96973,x96974,x96975),f326(f326(f64(x96971,x96972,x96973),x96974),x96975)))
% 178.51/178.26 [9776]~P25(x97762,x97761,x97764,f241(f922(x97762,a910)),f241(f922(x97761,a910)))+~P25(x97761,x97763,x97765,f241(f922(x97761,a910)),f241(f922(x97763,a910)))+E(f326(f72(x97761,x97762,x97763,f91(x97762,x97761,f241(f922(x97762,a910)),x97764)),f91(x97761,x97763,f241(f922(x97761,a910)),x97765)),f91(x97762,x97763,f241(f922(x97762,a910)),f326(f72(x97761,x97763,x97762,x97765),x97764)))
% 178.51/178.26 [9777]P106(f326(x97771,f643(x97772,x97771,x97773,x97774,x97775)))+~P106(f326(f326(f234(f922(x97775,a910)),x97774),x97773))+P106(f326(f326(f234(f922(x97775,a910)),f326(f326(f101(f922(x97775,a910)),x97774),f326(f261(x97775),x97771))),f326(f326(f101(f922(x97775,a910)),x97773),f326(f261(x97775),x97772))))
% 178.51/178.26 [9791]~P83(x97911)+~P106(f326(x97914,f719(x97913,x97914,x97915,x97912,x97911)))+E(f326(f165(x97911),f326(f326(f154(x97912,x97911),x97913),f326(f136(x97912,x97914),x97915))),f326(f165(x97911),f326(f326(f154(x97912,x97911),x97913),x97915)))
% 178.51/178.26 [9868]~P4(x98685)+P106(f326(f326(f328(x98681),f419(x98682,x98683,x98681,x98684,x98685)),x98683))+P106(f326(f326(f234(x98685),x98684),f326(f326(f39(x98681,x98685),x98683),x98682)))
% 178.51/178.26 [9872]~P83(x98721)+E(f326(f165(x98721),f326(f326(f154(x98722,x98721),x98723),f326(f136(x98722,x98724),x98725))),f326(f165(x98721),f326(f326(f154(x98722,x98721),x98723),x98725)))+P106(f326(f326(f328(x98722),f719(x98723,x98724,x98725,x98722,x98721)),f326(f172(x98722),x98725)))
% 178.51/178.26 [9882]~P106(f326(x98825,f643(x98825,x98823,x98824,x98822,x98821)))+~P106(f326(f326(f234(f922(x98821,a910)),x98822),x98824))+P106(f326(f326(f234(f922(x98821,a910)),f326(f326(f101(f922(x98821,a910)),x98822),f326(f261(x98821),x98823))),f326(f326(f101(f922(x98821,a910)),x98824),f326(f261(x98821),x98825))))
% 178.51/178.26 [9898]~P24(x98985,x98983,x98984,f241(f922(x98985,a910)))+P106(f326(x98981,x98982))+P106(f326(f326(f328(x98983),f811(x98982,x98981,x98984,x98983,x98985)),f326(f309(x98985,x98983,x98984),f241(f922(x98985,a910)))))
% 178.51/178.26 [9921]P34(x99211,x99212,x99213,x99214,x99215)+~E(f326(f189(f915(x99212)),x99215),f326(f189(f915(x99211)),x99214))+P106(f326(f326(f235(a914),f700(x99215,x99214,x99213,x99212,x99211)),f326(f189(f915(x99211)),x99214)))
% 178.51/178.26 [9922]P34(x99221,x99222,x99223,x99224,x99225)+~E(f326(f189(f915(x99222)),x99225),f326(f189(f915(x99221)),x99224))+P106(f326(f326(f235(a914),f736(x99223,x99225,x99222,x99224,x99221)),f326(f189(f915(x99221)),x99224)))
% 178.51/178.26 [9953]P106(f326(f326(f328(x99531),f643(x99532,x99533,x99534,x99535,x99531)),x99535))+~P106(f326(f326(f234(f922(x99531,a910)),x99535),x99534))+P106(f326(f326(f234(f922(x99531,a910)),f326(f326(f101(f922(x99531,a910)),x99535),f326(f261(x99531),x99533))),f326(f326(f101(f922(x99531,a910)),x99534),f326(f261(x99531),x99532))))
% 178.51/178.26 [9997]~P4(x99971)+~P106(f326(f326(f234(x99971),x99972),f326(x99975,f419(x99975,x99974,x99973,x99972,x99971))))+P106(f326(f326(f234(x99971),x99972),f326(f326(f39(x99973,x99971),x99974),x99975)))
% 178.51/178.26 [10034]~P75(x100341)+~P106(f326(f61(x100342),x100345))+E(f326(f326(f326(f65(x100341,x100342,f80(x100341)),f326(f326(f20(x100342,x100341,x100341),f326(f326(f10(x100341,f922(x100341,x100341),x100342),f80(x100341)),x100343)),x100344)),f77(x100341)),x100345),f326(f326(f80(x100341),f326(f326(f326(f65(x100341,x100342,f80(x100341)),x100343),f77(x100341)),x100345)),f326(f326(f326(f65(x100341,x100342,f80(x100341)),x100344),f77(x100341)),x100345)))
% 178.51/178.26 [10089]~P106(f326(f326(f328(f921(f922(x100891,a910),f922(x100891,a910))),f326(f326(f251(f922(x100891,a910),f922(x100891,a910)),x100895),x100894)),f318(x100891,x100893)))+~P106(f326(f326(f328(x100891),x100892),x100895))+P106(f326(f326(f328(f921(x100891,x100891)),f326(f326(f251(x100891,x100891),x100892),f608(x100893,x100894,x100895,x100891,x100892))),x100893))
% 178.51/178.26 [10214]~P106(f326(f326(f328(f921(f915(x102141),f915(x102141))),f326(f326(f251(f915(x102141),f915(x102141)),f326(f326(f134(x102141),x102145),x102142)),f326(f326(f134(x102141),x102145),x102143))),f147(x102141,x102144)))+P106(f326(f326(f328(f921(f915(x102141),f915(x102141))),f326(f326(f251(f915(x102141),f915(x102141)),x102142),x102143)),f147(x102141,x102144)))+P106(f326(f326(f328(f921(x102141,x102141)),f326(f326(f251(x102141,x102141),f688(x102144,x102143,x102142,x102145,x102141)),f688(x102144,x102143,x102142,x102145,x102141))),x102144))
% 178.51/178.26 [7442]~E(x74423,x74425)+E(f326(f326(f164(x74421),f326(f326(f159(x74421,x74422),x74423),x74424)),x74425),x74424)+~P106(f326(f326(f235(a914),x74423),f326(f189(f915(x74421)),x74422)))
% 178.51/178.26 [7555]~E(f326(f326(f134(x75551),x75552),x75554),f326(f326(f134(x75551),x75553),x75555))+E(f326(f326(f175(x75551),f326(f189(f915(x75551)),x75552)),x75553),x75552)+P106(f326(f326(f234(a914),f326(f189(f915(x75551)),x75553)),f326(f189(f915(x75551)),x75552)))
% 178.51/178.26 [8043]~E(f326(f326(f134(x80431),x80432),x80434),f326(f326(f134(x80431),x80433),x80435))+E(f326(f326(f175(x80431),f326(f189(f915(x80431)),x80432)),x80433),x80432)+~P106(f326(f326(f234(a914),f326(f189(f915(x80431)),x80432)),f326(f189(f915(x80431)),x80433)))
% 178.51/178.26 [8067]~P106(f326(f61(x80671),f326(x80674,x80675)))+~P106(f326(f326(f328(x80672),x80675),x80673))+P106(f326(f61(x80671),f326(f326(f39(x80672,f922(x80671,a910)),x80673),x80674)))
% 178.51/178.26 [8241]~P52(x82411,x82413,x82415)+~P52(x82411,x82412,x82414)+P52(x82411,f326(f326(f110(f922(x82411,a910)),x82412),x82413),f326(f326(f110(f922(f921(x82411,x82411),a910)),x82414),x82415))
% 178.51/178.26 [8242]~P52(x82421,x82423,x82425)+~P52(x82421,x82422,x82424)+P52(x82421,f326(f326(f101(f922(x82421,a910)),x82422),x82423),f326(f326(f101(f922(f921(x82421,x82421),a910)),x82424),x82425))
% 178.51/178.26 [8589]E(f326(f326(f251(x85891,x85892),f326(f326(f164(x85891),x85893),x85894)),f326(f326(f164(x85892),x85895),x85894)),f326(f326(f164(f921(x85891,x85892)),f326(f326(f181(x85891,x85892),x85893),x85895)),x85894))+~P106(f326(f326(f235(a914),x85894),f326(f189(f915(x85891)),x85893)))+~P106(f326(f326(f235(a914),x85894),f326(f189(f915(x85892)),x85895)))
% 178.51/178.26 [8741]~P52(x87411,x87413,x87414)+P106(f326(f326(f328(x87411),x87412),x87413))+~P106(f326(f326(f328(f921(x87411,x87411)),f326(f326(f251(x87411,x87411),x87415),x87412)),x87414))
% 178.51/178.26 [8742]~P52(x87421,x87423,x87424)+P106(f326(f326(f328(x87421),x87422),x87423))+~P106(f326(f326(f328(f921(x87421,x87421)),f326(f326(f251(x87421,x87421),x87422),x87425)),x87424))
% 178.51/178.26 [8743]~P7(x87431,x87433,x87434)+P106(f326(f326(f328(x87431),x87432),x87433))+~P106(f326(f326(f328(f921(x87431,x87431)),f326(f326(f251(x87431,x87431),x87435),x87432)),x87434))
% 178.51/178.26 [8744]~P7(x87441,x87443,x87444)+P106(f326(f326(f328(x87441),x87442),x87443))+~P106(f326(f326(f328(f921(x87441,x87441)),f326(f326(f251(x87441,x87441),x87442),x87445)),x87444))
% 178.51/178.26 [9025]~P7(x90251,x90255,x90252)+E(f326(f284(x90251,x90251,x90252),f326(f326(f308(x90251),x90253),f188(f922(x90251,a910)))),f326(f284(x90251,x90251,x90252),f326(f326(f308(x90251),x90254),f188(f922(x90251,a910)))))+~P106(f326(f326(f328(f921(x90251,x90251)),f326(f326(f251(x90251,x90251),x90253),x90254)),x90252))
% 178.51/178.26 [9209]P106(f326(x92091,x92092))+~P106(f326(f326(f328(x92093),x92092),x92095))+P106(f326(f326(f328(x92093),f380(x92091,x92094,x92095,x92093)),f326(f326(f110(f922(x92093,a910)),x92095),x92094)))
% 178.51/178.26 [9210]P106(f326(x92101,x92102))+~P106(f326(f326(f328(x92103),x92102),x92104))+P106(f326(f326(f328(x92103),f380(x92101,x92104,x92105,x92103)),f326(f326(f110(f922(x92103,a910)),x92105),x92104)))
% 178.51/178.26 [9218]~P106(f326(x92182,x92185))+~P106(f326(f326(f328(x92181),x92185),x92184))+P106(f326(f326(f328(x92181),f369(x92182,x92183,x92184,x92181)),f326(f326(f110(f922(x92181,a910)),x92184),x92183)))
% 178.51/178.26 [9219]~P106(f326(x92192,x92195))+~P106(f326(f326(f328(x92191),x92195),x92193))+P106(f326(f326(f328(x92191),f369(x92192,x92193,x92194,x92191)),f326(f326(f110(f922(x92191,a910)),x92194),x92193)))
% 178.51/178.26 [9234]~P106(f326(f326(f234(f922(x92341,a910)),x92343),x92345))+~P106(f326(f326(f234(f922(x92341,a910)),x92342),x92344))+P106(f326(f326(f234(f922(x92341,a910)),f326(f326(f110(f922(x92341,a910)),x92342),x92343)),f326(f326(f110(f922(x92341,a910)),x92344),x92345)))
% 178.51/178.26 [9235]~P106(f326(f326(f234(f922(x92351,a910)),x92355),x92353))+~P106(f326(f326(f234(f922(x92351,a910)),x92352),x92354))+P106(f326(f326(f234(f922(x92351,a910)),f326(f326(f3(f922(x92351,a910)),x92352),x92353)),f326(f326(f3(f922(x92351,a910)),x92354),x92355)))
% 178.51/178.26 [9236]~P106(f326(f326(f234(f922(x92361,a910)),x92363),x92365))+~P106(f326(f326(f234(f922(x92361,a910)),x92362),x92364))+P106(f326(f326(f234(f922(x92361,a910)),f326(f326(f101(f922(x92361,a910)),x92362),x92363)),f326(f326(f101(f922(x92361,a910)),x92364),x92365)))
% 178.51/178.26 [9330]P106(f326(f326(f328(f921(x93301,x93301)),f326(f326(f251(x93301,x93301),x93302),x93303)),f320(x93301,x93304,x93305)))+~P106(f326(f326(f234(a914),f326(x93304,x93302)),f326(x93304,x93303)))+~P106(f326(f326(f328(f921(x93301,x93301)),f326(f326(f251(x93301,x93301),x93302),x93303)),x93305))
% 178.51/178.26 [9517]P106(f326(f326(f328(f921(x95171,x95171)),f326(f326(f251(x95171,x95171),x95172),x95173)),f306(x95171,x95174)))+~P106(f326(f326(f328(f921(x95171,x95171)),f326(f326(f251(x95171,x95171),x95172),x95175)),f306(x95171,x95174)))+~P106(f326(f326(f328(f921(x95171,x95171)),f326(f326(f251(x95171,x95171),x95175),x95173)),x95174))
% 178.51/178.26 [9518]P106(f326(f326(f328(f921(x95181,x95181)),f326(f326(f251(x95181,x95181),x95182),x95183)),f306(x95181,x95184)))+~P106(f326(f326(f328(f921(x95181,x95181)),f326(f326(f251(x95181,x95181),x95185),x95183)),f306(x95181,x95184)))+~P106(f326(f326(f328(f921(x95181,x95181)),f326(f326(f251(x95181,x95181),x95182),x95185)),x95184))
% 178.51/178.26 [9617]E(x96171,x96172)+E(f326(a112,f626(x96173,x96174,x96171,x96172,x96175)),x96174)+~P106(f326(f326(f328(f921(x96175,x96175)),f326(f326(f251(x96175,x96175),x96172),x96171)),f326(f326(f183(f921(x96175,x96175),a910),x96174),x96173)))
% 178.51/178.26 [9618]E(x96181,x96182)+E(f326(a112,f628(x96183,x96184,x96181,x96182,x96185)),x96184)+~P106(f326(f326(f328(f921(x96185,x96185)),f326(f326(f251(x96185,x96185),x96182),x96181)),f326(f326(f183(f921(x96185,x96185),a910),x96184),x96183)))
% 178.51/178.26 [9619]E(x96191,f2(a914))+E(f326(a112,f626(x96192,x96191,x96193,x96194,x96195)),x96191)+~P106(f326(f326(f328(f921(x96195,x96195)),f326(f326(f251(x96195,x96195),x96194),x96193)),f326(f326(f183(f921(x96195,x96195),a910),x96191),x96192)))
% 178.51/178.26 [9620]E(x96201,f2(a914))+E(f326(a112,f628(x96202,x96201,x96203,x96204,x96205)),x96201)+~P106(f326(f326(f328(f921(x96205,x96205)),f326(f326(f251(x96205,x96205),x96204),x96203)),f326(f326(f183(f921(x96205,x96205),a910),x96201),x96202)))
% 178.51/178.26 [9645]P106(f326(f326(f328(f921(x96451,x96451)),f326(f326(f251(x96451,x96451),x96452),x96453)),f326(f326(f288(x96451,x96451,x96451),x96454),f306(x96451,x96454))))+~P106(f326(f326(f328(f921(x96451,x96451)),f326(f326(f251(x96451,x96451),x96452),x96455)),x96454))+~P106(f326(f326(f328(f921(x96451,x96451)),f326(f326(f251(x96451,x96451),x96455),x96453)),x96454))
% 178.51/178.26 [9655]~P106(f326(f326(f328(f921(x96551,x96551)),f326(f326(f251(x96551,x96551),x96552),x96555)),f306(x96551,x96554)))+P106(f326(f326(f328(f921(x96551,x96551)),f326(f326(f251(x96551,x96551),x96552),x96553)),f326(f326(f288(x96551,x96551,x96551),x96554),f306(x96551,x96554))))+~P106(f326(f326(f328(f921(x96551,x96551)),f326(f326(f251(x96551,x96551),x96555),x96553)),x96554))
% 178.51/178.26 [9691]~P7(x96911,x96915,x96912)+~P106(f326(f326(f328(f921(x96911,x96911)),f326(f326(f251(x96911,x96911),x96913),x96914)),x96912))+P106(f326(f326(f234(f922(x96911,a910)),f326(f284(x96911,x96911,x96912),f326(f326(f308(x96911),x96913),f188(f922(x96911,a910))))),f326(f284(x96911,x96911,x96912),f326(f326(f308(x96911),x96914),f188(f922(x96911,a910))))))
% 178.51/178.26 [9749]P106(f326(f326(f328(f921(x97491,x97491)),f326(f326(f251(x97491,x97491),x97492),x97493)),f326(f326(f288(x97491,x97491,x97491),x97494),f306(x97491,x97494))))+~P106(f326(f326(f328(f921(x97491,x97491)),f326(f326(f251(x97491,x97491),x97492),x97495)),f326(f326(f288(x97491,x97491,x97491),x97494),f306(x97491,x97494))))+~P106(f326(f326(f328(f921(x97491,x97491)),f326(f326(f251(x97491,x97491),x97495),x97493)),x97494))
% 178.51/178.26 [9750]P106(f326(f326(f328(f921(x97501,x97501)),f326(f326(f251(x97501,x97501),x97502),x97503)),f326(f326(f288(x97501,x97501,x97501),x97504),f306(x97501,x97504))))+~P106(f326(f326(f328(f921(x97501,x97501)),f326(f326(f251(x97501,x97501),x97505),x97503)),f326(f326(f288(x97501,x97501,x97501),x97504),f306(x97501,x97504))))+~P106(f326(f326(f328(f921(x97501,x97501)),f326(f326(f251(x97501,x97501),x97502),x97505)),x97504))
% 178.51/178.26 [9800]~P106(f326(f66(x98001,x98001,x98004,x98002,x98003),x98005))+P106(f326(f326(f328(x98001),x98002),x98003))+P106(f326(f62(x98001,x98004,f326(f326(f308(x98001),x98002),x98003)),x98005))
% 178.51/178.26 [9838]~E(f326(f309(x98383,x98382,x98385),x98384),x98381)+E(x98381,f188(f922(x98382,a910)))+P106(f326(f326(f234(f922(x98383,a910)),f326(f309(x98382,x98383,f512(x98384,x98383,x98382,x98381)),x98381)),x98384))
% 178.51/178.26 [9885]~P4(x98855)+P106(f326(f326(f328(x98851),f465(x98852,x98853,x98854,x98851,x98855)),x98854))+P106(f326(f326(f234(x98855),f326(f326(f40(x98851,x98855),x98854),x98853)),x98852))
% 178.51/178.26 [9940]P34(x99401,x99402,x99403,x99404,x99405)+~E(f326(f189(f915(x99401)),x99404),f326(f189(f915(x99402)),x99405))+P106(f326(f326(f328(f921(x99401,x99402)),f698(x99405,x99404,x99403,x99402,x99401)),f326(f172(f921(x99401,x99402)),f326(f326(f181(x99401,x99402),x99404),x99405))))
% 178.51/178.26 [9941]P34(x99411,x99412,x99413,x99414,x99415)+~E(f326(f189(f915(x99411)),x99414),f326(f189(f915(x99412)),x99415))+P106(f326(f326(f328(f921(x99411,x99412)),f699(x99413,x99415,x99414,x99412,x99411)),f326(f172(f921(x99411,x99412)),f326(f326(f181(x99411,x99412),x99414),x99415))))
% 178.51/178.26 [10068]E(x100681,x100682)+P106(f326(f326(f328(f921(x100683,x100683)),f326(f326(f251(x100683,x100683),x100681),f629(x100684,x100685,x100682,x100681,x100683))),x100684))+~P106(f326(f326(f328(f921(x100683,x100683)),f326(f326(f251(x100683,x100683),x100681),x100682)),f326(f326(f183(f921(x100683,x100683),a910),x100685),x100684)))
% 178.51/178.26 [10069]E(x100691,f2(a914))+P106(f326(f326(f328(f921(x100692,x100692)),f326(f326(f251(x100692,x100692),x100693),f629(x100694,x100691,x100695,x100693,x100692))),x100694))+~P106(f326(f326(f328(f921(x100692,x100692)),f326(f326(f251(x100692,x100692),x100693),x100695)),f326(f326(f183(f921(x100692,x100692),a910),x100691),x100694)))
% 178.51/178.26 [10110]~P4(x101101)+~P106(f326(f326(f234(x101101),f326(x101104,f465(x101105,x101104,x101103,x101102,x101101))),x101105))+P106(f326(f326(f234(x101101),f326(f326(f40(x101102,x101101),x101103),x101104)),x101105))
% 178.51/178.26 [10151]E(x101511,x101512)+P106(f326(f326(f328(f921(x101513,x101513)),f326(f326(f251(x101513,x101513),f627(x101514,x101515,x101511,x101512,x101513)),x101511)),x101514))+~P106(f326(f326(f328(f921(x101513,x101513)),f326(f326(f251(x101513,x101513),x101512),x101511)),f326(f326(f183(f921(x101513,x101513),a910),x101515),x101514)))
% 178.51/178.26 [10152]E(x101521,f2(a914))+P106(f326(f326(f328(f921(x101522,x101522)),f326(f326(f251(x101522,x101522),f627(x101523,x101521,x101524,x101525,x101522)),x101524)),x101523))+~P106(f326(f326(f328(f921(x101522,x101522)),f326(f326(f251(x101522,x101522),x101525),x101524)),f326(f326(f183(f921(x101522,x101522),a910),x101521),x101523)))
% 178.51/178.26 [10156]E(x101561,x101562)+P106(f326(f326(f328(f921(x101563,x101563)),f326(f326(f251(x101563,x101563),x101561),f627(x101564,x101565,x101562,x101561,x101563))),f326(f326(f183(f921(x101563,x101563),a910),f626(x101564,x101565,x101562,x101561,x101563)),x101564)))+~P106(f326(f326(f328(f921(x101563,x101563)),f326(f326(f251(x101563,x101563),x101561),x101562)),f326(f326(f183(f921(x101563,x101563),a910),x101565),x101564)))
% 178.51/178.26 [10157]E(x101571,f2(a914))+P106(f326(f326(f328(f921(x101572,x101572)),f326(f326(f251(x101572,x101572),x101573),f627(x101574,x101571,x101575,x101573,x101572))),f326(f326(f183(f921(x101572,x101572),a910),f626(x101574,x101571,x101575,x101573,x101572)),x101574)))+~P106(f326(f326(f328(f921(x101572,x101572)),f326(f326(f251(x101572,x101572),x101573),x101575)),f326(f326(f183(f921(x101572,x101572),a910),x101571),x101574)))
% 178.51/178.26 [10205]E(x102051,x102052)+P106(f326(f326(f328(f921(x102053,x102053)),f326(f326(f251(x102053,x102053),f629(x102054,x102055,x102051,x102052,x102053)),x102051)),f326(f326(f183(f921(x102053,x102053),a910),f628(x102054,x102055,x102051,x102052,x102053)),x102054)))+~P106(f326(f326(f328(f921(x102053,x102053)),f326(f326(f251(x102053,x102053),x102052),x102051)),f326(f326(f183(f921(x102053,x102053),a910),x102055),x102054)))
% 178.51/178.26 [10206]E(x102061,f2(a914))+P106(f326(f326(f328(f921(x102062,x102062)),f326(f326(f251(x102062,x102062),f629(x102063,x102061,x102064,x102065,x102062)),x102064)),f326(f326(f183(f921(x102062,x102062),a910),f628(x102063,x102061,x102064,x102065,x102062)),x102063)))+~P106(f326(f326(f328(f921(x102062,x102062)),f326(f326(f251(x102062,x102062),x102065),x102064)),f326(f326(f183(f921(x102062,x102062),a910),x102061),x102063)))
% 178.51/178.26 [10241]~P70(x102412)+~P106(f326(f61(x102411),x102415))+E(f326(f326(f8(x102411,x102412),f326(f326(f9(x102411,x102412,x102412),f326(f326(f20(x102411,x102412,f922(x102412,x102412)),f326(f326(f10(a910,f922(x102412,f922(x102412,x102412)),x102411),f96(x102412)),f326(f326(f9(x102411,f922(x102411,a910),a910),f328(x102411)),x102413))),x102414)),f2(x102412))),x102415),f326(f326(f8(x102411,x102412),x102414),f326(f326(f101(f922(x102411,a910)),x102415),x102413)))
% 178.51/178.26 [8809]~P70(x88091)+~P106(f326(f61(x88094),x88095))+E(f326(f326(f79(x88091),f326(x88092,x88093)),f326(f326(f8(x88094,x88091),x88092),f326(f326(f3(f922(x88094,a910)),x88095),f326(f326(f308(x88094),x88093),f188(f922(x88094,a910)))))),f326(f326(f8(x88094,x88091),x88092),f326(f326(f308(x88094),x88093),x88095)))
% 178.51/178.26 [8810]~P75(x88101)+~P106(f326(f61(x88104),x88105))+E(f326(f326(f80(x88101),f326(x88102,x88103)),f326(f326(f11(x88104,x88101),x88102),f326(f326(f3(f922(x88104,a910)),x88105),f326(f326(f308(x88104),x88103),f188(f922(x88104,a910)))))),f326(f326(f11(x88104,x88101),x88102),f326(f326(f308(x88104),x88103),x88105)))
% 178.51/178.26 [9142]~P109(x91422)+~P12(x91422,f326(f168(x91422),f326(f326(f154(x91421,x91422),x91424),x91425)))+E(f326(f136(x91421,f326(f326(f10(x91422,a910,x91421),f326(f235(x91422),x91423)),x91424)),x91425),f177(x91421,f326(f326(f10(x91422,a910,x91421),f326(f235(x91422),x91423)),x91424),x91425))
% 178.51/178.26 [9166]~P70(x91661)+E(f326(f326(f79(x91661),f326(f326(f8(a914,x91661),x91662),f302(a914,x91663,x91664))),f326(f326(f8(a914,x91661),x91662),f302(a914,f326(f326(f79(a914),x91664),f77(a914)),f326(f326(f79(a914),x91664),x91665)))),f326(f326(f8(a914,x91661),x91662),f302(a914,x91663,f326(f326(f79(a914),x91664),x91665))))+~P106(f326(f326(f234(a914),x91663),f326(f326(f79(a914),x91664),f77(a914))))
% 178.51/178.26 [9167]~P106(f326(f326(f328(x91671),x91674),x91675))+~P106(f326(f326(f234(f922(x91671,a910)),f326(f172(x91671),x91672)),x91675))+P106(f326(f326(f234(f922(x91671,a910)),f326(f172(x91671),f326(f326(f159(x91671,x91672),x91673),x91674))),x91675))
% 178.51/178.26 [9390]~P4(x93902)+~P106(f326(f61(x93901),x93905))+E(f326(f326(f64(x93901,x93902,f326(f326(f10(x93902,f922(x93902,x93902),x93901),f110(x93902)),x93903)),x93904),x93905),f326(f326(f110(x93902),x93904),f326(f326(f40(x93901,x93902),x93905),x93903)))
% 178.51/178.26 [9391]~P4(x93912)+~P106(f326(f61(x93911),x93915))+E(f326(f326(f64(x93911,x93912,f326(f326(f10(x93912,f922(x93912,x93912),x93911),f101(x93912)),x93913)),x93914),x93915),f326(f326(f101(x93912),x93914),f326(f326(f39(x93911,x93912),x93915),x93913)))
% 178.51/178.26 [9442]E(f326(x94421,x94422),f326(x94421,x94423))+P106(f326(f326(f235(a914),f326(x94421,x94422)),f326(x94421,x94423)))+~P106(f326(f326(f328(f921(x94424,x94424)),f326(f326(f251(x94424,x94424),x94422),x94423)),f153(x94424,f326(f326(f151(f922(x94424,a914)),x94421),x94425))))
% 178.51/178.26 [9475]~E(f326(x94754,x94752),f326(x94754,x94753))+~P106(f326(f326(f328(f921(x94751,x94751)),f326(f326(f251(x94751,x94751),x94752),x94753)),f153(x94751,x94755)))+P106(f326(f326(f328(f921(x94751,x94751)),f326(f326(f251(x94751,x94751),x94752),x94753)),f153(x94751,f326(f326(f151(f922(x94751,a914)),x94754),x94755))))
% 178.51/178.26 [9495]~P24(x94951,x94952,x94953,x94955)+P24(x94951,x94952,x94953,f326(f326(f308(x94951),x94954),x94955))+P106(f326(f326(f328(x94952),f326(x94953,x94954)),f326(f309(x94951,x94952,x94953),f326(f326(f3(f922(x94951,a910)),x94955),f326(f326(f308(x94951),x94954),f188(f922(x94951,a910)))))))
% 178.51/178.26 [9498]P106(f326(x94982,x94985))+~P106(f326(f326(f328(x94981),x94985),f326(f172(x94981),x94983)))+E(f326(f326(f138(x94981),f326(f189(f915(x94981)),f177(x94981,x94982,f326(f326(f134(x94981),x94983),x94984)))),f326(f326(f134(x94981),x94983),x94984)),f326(f326(f134(x94981),f326(f326(f138(x94981),f326(f189(f915(x94981)),f177(x94981,x94982,x94983))),x94983)),x94984))
% 178.51/178.26 [9503]~P106(f326(f326(f328(f921(x95031,x95031)),f326(f326(f251(x95031,x95031),x95032),x95033)),f153(x95031,x95035)))+~P106(f326(f326(f234(a914),f326(x95034,x95032)),f326(x95034,x95033)))+P106(f326(f326(f328(f921(x95031,x95031)),f326(f326(f251(x95031,x95031),x95032),x95033)),f153(x95031,f326(f326(f151(f922(x95031,a914)),x95034),x95035))))
% 178.51/178.26 [9568]P106(f326(f326(f328(f921(x95684,x95684)),f326(f326(f251(x95684,x95684),x95682),x95683)),f153(x95684,x95685)))+P106(f326(f326(f235(a914),f326(x95681,x95682)),f326(x95681,x95683)))+~P106(f326(f326(f328(f921(x95684,x95684)),f326(f326(f251(x95684,x95684),x95682),x95683)),f153(x95684,f326(f326(f151(f922(x95684,a914)),x95681),x95685))))
% 178.51/178.26 [9721]~P106(f326(f326(f328(f921(f915(x97211),f915(x97211))),f326(f326(f251(f915(x97211),f915(x97211)),x97212),x97214)),f158(x97211,x97215)))+~P106(f326(f326(f235(a914),x97213),f326(f189(f915(x97211)),x97212)))+P106(f326(f326(f328(f921(x97211,x97211)),f326(f326(f251(x97211,x97211),f326(f326(f164(x97211),x97212),x97213)),f326(f326(f164(x97211),x97214),x97213))),x97215))
% 178.51/178.26 [9963]E(x99631,f2(a1))+~P106(f326(f49(x99633,x99631),f326(f326(f251(a1,a1),x99634),x99635)))+P106(f326(f49(f326(f326(f80(a1),x99632),x99633),x99631),f326(f326(f251(a1,a1),f326(f326(f79(a1),f326(f326(f80(a1),x99632),x99634)),f326(f326(f36(a1),f326(f326(f80(a1),x99632),x99635)),x99631))),f45(a1,f326(f326(f80(a1),x99632),x99635),x99631))))
% 178.51/178.26 [9964]~P106(f326(f326(f235(a914),f2(a914)),x99643))+~P106(f326(f48(x99642,x99643),f326(f326(f251(a914,a914),x99644),x99645)))+P106(f326(f48(f326(f326(f80(a914),x99641),x99642),x99643),f326(f326(f251(a914,a914),f326(f326(f79(a914),f326(f326(f80(a914),x99641),x99644)),f326(f326(f36(a914),f326(f326(f80(a914),x99641),x99645)),x99643))),f45(a914,f326(f326(f80(a914),x99641),x99645),x99643))))
% 178.51/178.26 [10264]~P70(x102642)+~P106(f326(f61(x102641),x102644))+E(f326(f326(f8(x102641,x102642),x102643),f326(f261(x102641),f326(f326(f20(x102641,a910,a910),f326(f326(f10(a910,f922(a910,a910),x102641),a325),f326(f326(f9(x102641,f922(x102641,a910),a910),f328(x102641)),x102644))),f326(f326(f9(x102641,f922(x102641,a910),a910),f328(x102641)),x102645)))),f326(f326(f8(x102641,x102642),f326(f326(f9(x102641,x102642,x102642),f326(f326(f20(x102641,x102642,f922(x102642,x102642)),f326(f326(f10(a910,f922(x102642,f922(x102642,x102642)),x102641),f96(x102642)),f326(f326(f9(x102641,f922(x102641,a910),a910),f328(x102641)),x102645))),x102643)),f2(x102642))),x102644))
% 178.51/178.26 [8442]~E(f326(f326(f134(x84421),x84422),x84425),f326(f326(f134(x84421),x84423),x84424))+E(f326(f326(f134(x84421),f326(f326(f138(x84421),f326(f189(f915(x84421)),x84422)),x84423)),x84424),x84425)+P106(f326(f326(f234(a914),f326(f189(f915(x84421)),x84423)),f326(f189(f915(x84421)),x84422)))
% 178.51/178.26 [8637]~E(f326(f326(f134(x86372),x86373),x86371),f326(f326(f134(x86372),x86374),x86375))+E(x86371,f326(f326(f134(x86372),f326(f326(f138(x86372),f326(f189(f915(x86372)),x86373)),x86374)),x86375))+~P106(f326(f326(f234(a914),f326(f189(f915(x86372)),x86373)),f326(f189(f915(x86372)),x86374)))
% 178.51/178.26 [8724]~E(f326(f326(f79(a914),f326(f326(f80(a914),x87243),x87244)),x87241),f326(f326(f79(a914),f326(f326(f80(a914),x87242),x87244)),x87245))+~P106(f326(f326(f234(a914),x87243),x87242))+E(x87241,f326(f326(f79(a914),f326(f326(f80(a914),f326(f326(f3(a914),x87242),x87243)),x87244)),x87245))
% 178.51/178.26 [8725]~E(f326(f326(f79(a914),f326(f326(f80(a914),x87251),x87253)),x87254),f326(f326(f79(a914),f326(f326(f80(a914),x87252),x87253)),x87255))+~P106(f326(f326(f234(a914),x87252),x87251))+E(f326(f326(f79(a914),f326(f326(f80(a914),f326(f326(f3(a914),x87251),x87252)),x87253)),x87254),x87255)
% 178.51/178.26 [8893]E(f326(f326(f79(a914),f326(f326(f80(a914),x88931),x88932)),x88933),f326(f326(f79(a914),f326(f326(f80(a914),x88934),x88932)),x88935))+~P106(f326(f326(f234(a914),x88934),x88931))+~E(x88935,f326(f326(f79(a914),f326(f326(f80(a914),f326(f326(f3(a914),x88931),x88934)),x88932)),x88933))
% 178.51/178.26 [8894]E(f326(f326(f79(a914),f326(f326(f80(a914),x88941),x88942)),x88943),f326(f326(f79(a914),f326(f326(f80(a914),x88944),x88942)),x88945))+~P106(f326(f326(f234(a914),x88944),x88941))+~E(f326(f326(f79(a914),f326(f326(f80(a914),f326(f326(f3(a914),x88941),x88944)),x88942)),x88943),x88945)
% 178.51/178.26 [9775]~P63(x97752)+~P106(f326(f61(x97751),x97755))+E(f326(f326(f11(x97751,x97752),f326(f326(f20(x97751,x97752,x97752),f326(f326(f10(x97752,f922(x97752,x97752),x97751),f289(x97752)),x97753)),x97754)),x97755),f326(f326(f289(x97752),f326(f326(f11(x97751,x97752),x97753),x97755)),f326(f326(f11(x97751,x97752),x97754),x97755)))
% 178.51/178.26 [9904]~E(f631(x99045,x99044,x99043,x99042,x99041),f632(x99045,x99044,x99043,x99042,x99041))+P106(f326(f326(f328(f921(x99041,x99041)),f326(f326(f251(x99041,x99041),x99042),x99043)),f306(x99041,x99044)))+~P106(f326(f326(f328(f921(x99041,x99041)),f326(f326(f251(x99041,x99041),x99042),x99043)),f306(x99041,f326(f326(f110(f922(f921(x99041,x99041),a910)),x99044),x99045))))
% 178.51/178.26 [9905]~E(f633(x99055,x99054,x99053,x99052,x99051),f634(x99055,x99054,x99053,x99052,x99051))+P106(f326(f326(f328(f921(x99051,x99051)),f326(f326(f251(x99051,x99051),x99052),x99053)),f306(x99051,x99054)))+~P106(f326(f326(f328(f921(x99051,x99051)),f326(f326(f251(x99051,x99051),x99052),x99053)),f306(x99051,f326(f326(f110(f922(f921(x99051,x99051),a910)),x99054),x99055))))
% 178.51/178.26 [10100]P106(f326(f326(f328(f921(x101001,x101001)),f326(f326(f251(x101001,x101001),x101002),f634(x101005,x101004,x101003,x101002,x101001))),f306(x101001,x101004)))+P106(f326(f326(f328(f921(x101001,x101001)),f326(f326(f251(x101001,x101001),x101002),x101003)),f306(x101001,x101004)))+~P106(f326(f326(f328(f921(x101001,x101001)),f326(f326(f251(x101001,x101001),x101002),x101003)),f306(x101001,f326(f326(f110(f922(f921(x101001,x101001),a910)),x101004),x101005))))
% 178.51/178.26 [10178]P106(f326(f326(f328(f921(x101781,x101781)),f326(f326(f251(x101781,x101781),f632(x101785,x101784,x101783,x101782,x101781)),x101783)),f306(x101781,x101784)))+P106(f326(f326(f328(f921(x101781,x101781)),f326(f326(f251(x101781,x101781),x101782),x101783)),f306(x101781,x101784)))+~P106(f326(f326(f328(f921(x101781,x101781)),f326(f326(f251(x101781,x101781),x101782),x101783)),f306(x101781,f326(f326(f110(f922(f921(x101781,x101781),a910)),x101784),x101785))))
% 178.51/178.26 [10212]P106(f326(f326(f328(f921(x102121,x102121)),f326(f326(f251(x102121,x102121),x102122),x102123)),f306(x102121,x102124)))+P106(f326(f326(f328(f921(x102121,x102121)),f326(f326(f251(x102121,x102121),f631(x102125,x102124,x102123,x102122,x102121)),f632(x102125,x102124,x102123,x102122,x102121))),x102125))+~P106(f326(f326(f328(f921(x102121,x102121)),f326(f326(f251(x102121,x102121),x102122),x102123)),f306(x102121,f326(f326(f110(f922(f921(x102121,x102121),a910)),x102124),x102125))))
% 178.51/178.26 [10213]P106(f326(f326(f328(f921(x102131,x102131)),f326(f326(f251(x102131,x102131),x102132),x102133)),f306(x102131,x102134)))+P106(f326(f326(f328(f921(x102131,x102131)),f326(f326(f251(x102131,x102131),f634(x102135,x102134,x102133,x102132,x102131)),f633(x102135,x102134,x102133,x102132,x102131))),x102135))+~P106(f326(f326(f328(f921(x102131,x102131)),f326(f326(f251(x102131,x102131),x102132),x102133)),f306(x102131,f326(f326(f110(f922(f921(x102131,x102131),a910)),x102134),x102135))))
% 178.51/178.26 [10367]~P106(f326(f326(f328(f921(f915(x103671),f915(x103671))),f326(f326(f251(f915(x103671),f915(x103671)),x103674),x103675)),f158(x103671,x103672)))+~P106(f326(f326(f328(f921(x103671,x103671)),x103673),f326(f172(f921(x103671,x103671)),f326(f326(f181(x103671,x103671),x103674),x103675))))+P106(f326(f326(f256(x103671,x103671,a910),f326(f326(f9(x103671,f922(f921(x103671,x103671),a910),f922(x103671,a910)),f326(f326(f10(f922(x103671,f922(f922(f921(x103671,x103671),a910),a910)),f922(f922(f921(x103671,x103671),a910),f922(x103671,a910)),x103671),f9(x103671,f922(f921(x103671,x103671),a910),a910)),f326(f326(f10(f922(x103671,f921(x103671,x103671)),f922(x103671,f922(f922(f921(x103671,x103671),a910),a910)),x103671),f326(f10(f921(x103671,x103671),f922(f922(f921(x103671,x103671),a910),a910),x103671),f328(f921(x103671,x103671)))),f251(x103671,x103671)))),x103672)),x103673))
% 178.51/178.26 [9804]~P106(f326(f326(f234(a914),x98043),x98042))+~P106(f326(f326(f234(a914),f326(f326(f79(a914),f326(f326(f80(a914),x98043),x98044)),x98041)),f326(f326(f79(a914),f326(f326(f80(a914),x98042),x98044)),x98045)))+P106(f326(f326(f234(a914),x98041),f326(f326(f79(a914),f326(f326(f80(a914),f326(f326(f3(a914),x98042),x98043)),x98044)),x98045)))
% 178.51/178.26 [9805]~P106(f326(f326(f234(a914),x98053),x98052))+~P106(f326(f326(f235(a914),f326(f326(f79(a914),f326(f326(f80(a914),x98053),x98054)),x98051)),f326(f326(f79(a914),f326(f326(f80(a914),x98052),x98054)),x98055)))+P106(f326(f326(f235(a914),x98051),f326(f326(f79(a914),f326(f326(f80(a914),f326(f326(f3(a914),x98052),x98053)),x98054)),x98055)))
% 178.51/178.26 [9822]~P106(f326(f326(f234(a914),x98221),x98224))+P106(f326(f326(f234(a914),f326(f326(f79(a914),f326(f326(f80(a914),x98221),x98222)),x98223)),f326(f326(f79(a914),f326(f326(f80(a914),x98224),x98222)),x98225)))+~P106(f326(f326(f234(a914),x98223),f326(f326(f79(a914),f326(f326(f80(a914),f326(f326(f3(a914),x98224),x98221)),x98222)),x98225)))
% 178.51/178.26 [9823]~P106(f326(f326(f234(a914),x98231),x98234))+P106(f326(f326(f235(a914),f326(f326(f79(a914),f326(f326(f80(a914),x98231),x98232)),x98233)),f326(f326(f79(a914),f326(f326(f80(a914),x98234),x98232)),x98235)))+~P106(f326(f326(f235(a914),x98233),f326(f326(f79(a914),f326(f326(f80(a914),f326(f326(f3(a914),x98234),x98231)),x98232)),x98235)))
% 178.51/178.26 [9938]~P106(f326(f326(f234(a914),x99382),x99381))+~P106(f326(f326(f234(a914),f326(f326(f79(a914),f326(f326(f80(a914),x99381),x99383)),x99384)),f326(f326(f79(a914),f326(f326(f80(a914),x99382),x99383)),x99385)))+P106(f326(f326(f234(a914),f326(f326(f79(a914),f326(f326(f80(a914),f326(f326(f3(a914),x99381),x99382)),x99383)),x99384)),x99385))
% 178.51/178.26 [9939]~P106(f326(f326(f234(a914),x99392),x99391))+~P106(f326(f326(f235(a914),f326(f326(f79(a914),f326(f326(f80(a914),x99391),x99393)),x99394)),f326(f326(f79(a914),f326(f326(f80(a914),x99392),x99393)),x99395)))+P106(f326(f326(f235(a914),f326(f326(f79(a914),f326(f326(f80(a914),f326(f326(f3(a914),x99391),x99392)),x99393)),x99394)),x99395))
% 178.51/178.26 [9982]~P106(f326(f326(f234(a914),x99824),x99821))+P106(f326(f326(f234(a914),f326(f326(f79(a914),f326(f326(f80(a914),x99821),x99822)),x99823)),f326(f326(f79(a914),f326(f326(f80(a914),x99824),x99822)),x99825)))+~P106(f326(f326(f234(a914),f326(f326(f79(a914),f326(f326(f80(a914),f326(f326(f3(a914),x99821),x99824)),x99822)),x99823)),x99825))
% 178.51/178.26 [9983]~P106(f326(f326(f234(a914),x99834),x99831))+P106(f326(f326(f235(a914),f326(f326(f79(a914),f326(f326(f80(a914),x99831),x99832)),x99833)),f326(f326(f79(a914),f326(f326(f80(a914),x99834),x99832)),x99835)))+~P106(f326(f326(f235(a914),f326(f326(f79(a914),f326(f326(f80(a914),f326(f326(f3(a914),x99831),x99834)),x99832)),x99833)),x99835))
% 178.51/178.26 [10200]~P10(x102001,x102002,x102005,x102003)+~P106(f326(f326(f328(f921(x102001,x102001)),x102004),x102005))+P106(f326(f326(f256(x102001,x102001,a910),f326(f326(f9(x102001,f922(x102001,x102002),f922(x102001,a910)),f326(f326(f10(f922(x102002,a910),f922(f922(x102001,x102002),f922(x102001,a910)),x102001),f10(x102002,a910,x102001)),f326(f326(f10(x102002,f922(x102002,a910),x102001),a323),x102003))),x102003)),x102004))
% 178.51/178.26 [8601]~P18(x86016,x86011,x86012,x86014)+E(f326(f72(x86011,x86011,x86011,f326(x86012,x86013)),f326(x86014,x86015)),f326(f72(x86011,x86011,x86011,f326(x86014,x86015)),f326(x86012,x86013)))+~P106(f326(f61(x86016),x86015))
% 178.51/178.26 [9037]~P24(x90371,x90373,x90375,x90376)+~P24(x90373,x90372,x90374,f326(f309(x90371,x90373,x90375),x90376))+P24(x90371,x90372,f326(f72(x90373,x90372,x90371,x90374),x90375),x90376)
% 178.51/178.26 [9600]~P106(f326(f326(x96003,x96002),x96006))+~P106(f326(f326(x96004,x96005),x96002))+P106(f326(f326(f328(x96001),x96002),f299(x96001,x96003,x96004,x96005,x96006)))
% 178.51/178.26 [9601]~P106(f326(f326(x96014,x96012),x96016))+~P106(f326(f326(x96013,x96015),x96012))+P106(f326(f326(f328(x96011),x96012),f296(x96011,x96013,x96014,x96015,x96016)))
% 178.51/178.26 [9722]E(x97221,x97222)+E(x97223,x97224)+~P106(f326(f326(f328(f921(f915(x97225),f915(x97225))),f326(f326(f251(f915(x97225),f915(x97225)),f326(f326(f151(x97225),x97223),x97221)),f326(f326(f151(x97225),x97224),x97222))),f157(x97225,x97226)))
% 178.51/178.26 [9731]~E(x97312,x97314)+P106(f326(f326(f328(f921(f915(x97311),f915(x97311))),f326(f326(f251(f915(x97311),f915(x97311)),f326(f326(f151(x97311),x97312),x97313)),f326(f326(f151(x97311),x97314),x97315))),f145(x97311,x97316)))+~P106(f326(f326(f328(f921(f915(x97311),f915(x97311))),f326(f326(f251(f915(x97311),f915(x97311)),x97313),x97315)),f145(x97311,x97316)))
% 178.51/178.26 [9732]~E(x97322,x97324)+P106(f326(f326(f328(f921(f915(x97321),f915(x97321))),f326(f326(f251(f915(x97321),f915(x97321)),f326(f326(f151(x97321),x97322),x97323)),f326(f326(f151(x97321),x97324),x97325))),f147(x97321,x97326)))+~P106(f326(f326(f328(f921(f915(x97321),f915(x97321))),f326(f326(f251(f915(x97321),f915(x97321)),x97323),x97325)),f147(x97321,x97326)))
% 178.51/178.26 [9733]~E(x97332,x97334)+P106(f326(f326(f328(f921(f915(x97331),f915(x97331))),f326(f326(f251(f915(x97331),f915(x97331)),f326(f326(f151(x97331),x97332),x97333)),f326(f326(f151(x97331),x97334),x97335))),f157(x97331,x97336)))+~P106(f326(f326(f328(f921(f915(x97331),f915(x97331))),f326(f326(f251(f915(x97331),f915(x97331)),x97333),x97335)),f157(x97331,x97336)))
% 178.51/178.26 [9734]~E(x97342,x97344)+P106(f326(f326(f328(f921(f915(x97341),f915(x97341))),f326(f326(f251(f915(x97341),f915(x97341)),f326(f326(f134(x97341),x97342),x97343)),f326(f326(f134(x97341),x97344),x97345))),f157(x97341,x97346)))+~P106(f326(f326(f328(f921(f915(x97341),f915(x97341))),f326(f326(f251(f915(x97341),f915(x97341)),x97343),x97345)),f157(x97341,x97346)))
% 178.51/178.26 [9735]~E(x97353,x97355)+P106(f326(f326(f328(f921(f915(x97351),f915(x97351))),f326(f326(f251(f915(x97351),f915(x97351)),f326(f326(f134(x97351),x97352),x97353)),f326(f326(f134(x97351),x97354),x97355))),f157(x97351,x97356)))+~P106(f326(f326(f328(f921(f915(x97351),f915(x97351))),f326(f326(f251(f915(x97351),f915(x97351)),x97352),x97354)),f157(x97351,x97356)))
% 178.51/178.26 [9792]E(x97921,x97922)+P106(f326(f326(f328(f921(f915(x97923),f915(x97923))),f326(f326(f251(f915(x97923),f915(x97923)),x97921),x97922)),f157(x97923,x97924)))+~P106(f326(f326(f328(f921(f915(x97923),f915(x97923))),f326(f326(f251(f915(x97923),f915(x97923)),f326(f326(f151(x97923),x97925),x97921)),f326(f326(f151(x97923),x97926),x97922))),f157(x97923,x97924)))
% 178.51/178.26 [9942]~E(x99423,x99425)+P106(f326(f326(f328(f921(f915(x99421),f915(x99421))),f326(f326(f251(f915(x99421),f915(x99421)),f326(f326(f134(x99421),x99422),f326(f326(f151(x99421),x99423),f113(x99421)))),f326(f326(f134(x99421),x99424),f326(f326(f151(x99421),x99425),f113(x99421))))),f157(x99421,x99426)))+~P106(f326(f326(f328(f921(f915(x99421),f915(x99421))),f326(f326(f251(f915(x99421),f915(x99421)),x99422),x99424)),f157(x99421,x99426)))
% 178.51/178.26 [9986]E(x99861,x99862)+E(x99863,x99864)+~P106(f326(f326(f328(f921(f915(x99865),f915(x99865))),f326(f326(f251(f915(x99865),f915(x99865)),f326(f326(f134(x99865),x99863),f326(f326(f151(x99865),x99861),f113(x99865)))),f326(f326(f134(x99865),x99864),f326(f326(f151(x99865),x99862),f113(x99865))))),f157(x99865,x99866)))
% 178.51/178.26 [10013]E(x100131,x100132)+~P106(f326(f326(f328(f921(f915(x100133),f915(x100133))),f326(f326(f251(f915(x100133),f915(x100133)),f326(f326(f134(x100133),x100131),f326(f326(f151(x100133),x100135),f113(x100133)))),f326(f326(f134(x100133),x100132),f326(f326(f151(x100133),x100136),f113(x100133))))),f157(x100133,x100134)))+P106(f326(f326(f328(f921(f915(x100133),f915(x100133))),f326(f326(f251(f915(x100133),f915(x100133)),x100131),x100132)),f157(x100133,x100134)))
% 178.51/178.26 [10051]~P106(f326(f326(f328(f921(f922(x100511,a910),f922(x100511,a910))),f326(f326(f251(f922(x100511,a910),f922(x100511,a910)),x100512),x100514)),f318(x100511,x100516)))+~P106(f326(f326(f328(f921(f922(x100511,a910),f922(x100511,a910))),f326(f326(f251(f922(x100511,a910),f922(x100511,a910)),x100513),x100515)),f318(x100511,x100516)))+P106(f326(f326(f328(f921(f922(x100511,a910),f922(x100511,a910))),f326(f326(f251(f922(x100511,a910),f922(x100511,a910)),f326(f326(f110(f922(x100511,a910)),x100512),x100513)),f326(f326(f110(f922(x100511,a910)),x100514),x100515))),f318(x100511,x100516)))
% 178.51/178.26 [5847]~E(f326(f326(f134(x58471),x58476),x58473),x58475)+E(f326(f326(f134(x58471),x58472),x58473),f326(f326(f151(x58471),x58474),x58475))+~E(x58472,f326(f326(f151(x58471),x58474),x58476))
% 178.51/178.26 [5848]~E(f326(f326(f134(x58481),x58486),x58483),x58485)+E(f326(f326(f134(x58481),x58482),x58483),f326(f326(f134(x58481),x58484),x58485))+~E(x58482,f326(f326(f134(x58481),x58484),x58486))
% 178.51/178.26 [5850]E(f326(f326(f134(x58501),x58502),x58503),f326(f326(f151(x58501),x58504),x58505))+~E(f326(f326(f151(x58501),x58504),x58506),x58502)+~E(x58505,f326(f326(f134(x58501),x58506),x58503))
% 178.51/178.26 [5852]~E(f326(f326(f134(x58521),x58522),x58526),x58524)+E(f326(f326(f134(x58521),x58522),x58523),f326(f326(f134(x58521),x58524),x58525))+~E(x58523,f326(f326(f134(x58521),x58526),x58525))
% 178.51/178.26 [7006]E(f326(x70061,x70062),f326(x70063,x70062))+~E(f326(f326(f154(x70064,x70065),x70061),x70066),f326(f326(f154(x70064,x70065),x70063),x70066))+~P106(f326(f326(f328(x70064),x70062),f326(f172(x70064),x70066)))
% 178.51/178.26 [7389]~P18(x73894,x73895,x73896,x73891)+E(f326(f326(x73891,x73892),x73893),f326(f326(f64(x73894,x73895,x73896),x73893),x73892))+~P106(f326(f61(x73894),x73892))
% 178.51/178.26 [7460]~E(x74602,f326(x74604,x74606))+~P106(f326(f326(f328(x74603),x74606),x74605))+P106(f326(f326(f328(x74601),x74602),f326(f309(x74603,x74601,x74604),x74605)))
% 178.51/178.26 [7461]~E(f326(x74614,x74612),x74616)+~P106(f326(f326(f328(x74613),x74616),x74615))+P106(f326(f326(f328(x74611),x74612),f326(f310(x74611,x74613,x74614),x74615)))
% 178.51/178.26 [7903]~P32(x79031,x79032,x79034,x79036)+P32(x79031,x79032,f326(f326(f151(x79031),x79033),x79034),f326(f326(f151(x79031),x79035),x79036))+~P106(f326(f326(x79032,x79033),x79035))
% 178.51/178.26 [8903]~P56(x89034,x89035,x89031,x89032,x89036)+E(f326(x89031,f326(x89032,x89033)),x89033)+~P106(f326(f326(f328(x89035),x89033),x89036))
% 178.51/178.26 [9400]~P25(x94002,x94001,x94005,x94004,x94003)+E(f326(f91(x94001,x94002,x94003,f91(x94002,x94001,x94004,x94005)),x94006),f326(x94005,x94006))+~P106(f326(f326(f328(x94002),x94006),x94004))
% 178.51/178.26 [9411]~P24(x94111,x94112,x94113,x94116)+P24(x94111,x94112,f74(x94111,x94112,x94113,x94114,x94115),x94116)+P106(f326(f326(f328(x94112),x94115),f326(f309(x94111,x94112,x94113),x94116)))
% 178.51/178.26 [9724]E(x97241,x97242)+E(f326(f189(f915(x97243)),x97244),f326(f189(f915(x97243)),x97245))+~P106(f326(f326(f328(f921(f915(x97243),f915(x97243))),f326(f326(f251(f915(x97243),f915(x97243)),f326(f326(f151(x97243),x97241),x97244)),f326(f326(f151(x97243),x97242),x97245))),f145(x97243,x97246)))
% 178.51/178.26 [9787]~P15(x97871,x97872,x97873)+E(f326(f326(f64(x97871,x97872,x97873),x97874),x97875),x97876)+~P106(f326(f66(x97871,x97872,x97873,x97874,x97875),x97876))
% 178.51/178.26 [9795]E(f326(f189(f915(x97951)),x97952),f326(f189(f915(x97951)),x97953))+P106(f326(f326(f328(f921(f915(x97951),f915(x97951))),f326(f326(f251(f915(x97951),f915(x97951)),x97952),x97953)),f145(x97951,x97954)))+~P106(f326(f326(f328(f921(f915(x97951),f915(x97951))),f326(f326(f251(f915(x97951),f915(x97951)),f326(f326(f151(x97951),x97955),x97952)),f326(f326(f151(x97951),x97956),x97953))),f145(x97951,x97954)))
% 178.51/178.26 [9816]~P106(f326(f326(f328(f921(x98161,x98161)),f326(f326(f251(x98161,x98161),x98162),x98164)),f306(x98161,x98166)))+P106(f326(f326(f328(f921(f915(x98161),f915(x98161))),f326(f326(f251(f915(x98161),f915(x98161)),f326(f326(f151(x98161),x98162),x98163)),f326(f326(f151(x98161),x98164),x98165))),f306(f915(x98161),f157(x98161,x98166))))+~P106(f326(f326(f328(f921(f915(x98161),f915(x98161))),f326(f326(f251(f915(x98161),f915(x98161)),x98163),x98165)),f306(f915(x98161),f157(x98161,x98166))))
% 178.51/178.26 [9992]~P106(f326(x99922,x99926))+~E(f326(f136(x99921,x99922),x99923),f326(f326(f151(x99921),x99924),x99925))+~P106(f326(f326(f328(x99921),x99926),f326(f172(x99921),f743(x99925,x99924,x99923,x99922,x99921))))
% 178.51/178.26 [9993]~P106(f326(x99934,x99936))+~E(f326(f326(f151(x99931),x99932),x99933),f326(f136(x99931,x99934),x99935))+~P106(f326(f326(f328(x99931),x99936),f326(f172(x99931),f746(x99935,x99934,x99933,x99932,x99931))))
% 178.51/178.26 [10302]~P70(x103022)+E(f326(f326(f8(x103021,x103022),f326(f326(f10(f922(x103023,a910),x103022,x103021),f326(f8(x103023,x103022),x103024)),f326(f326(f10(f922(x103023,a910),f922(x103023,a910),x103021),f261(x103023)),f326(f326(f10(f922(x103023,a910),f922(x103023,a910),x103021),f326(f20(x103023,a910,a910),f326(f326(f10(a910,f922(a910,a910),x103023),a325),f326(f326(f9(x103023,f922(x103023,a910),a910),f328(x103023)),x103025)))),f326(f9(x103023,x103021,a910),f326(f326(f10(x103021,f922(x103021,a910),x103023),a323),x103026)))))),f326(f309(x103023,x103021,x103026),x103025)),f326(f326(f8(x103023,x103022),x103024),x103025))+~P106(f326(f61(x103023),x103025))
% 178.51/178.26 [7062]~P109(x70623)+P106(f326(x70622,x70625))+E(f326(f136(x70621,x70622),f326(f326(f148(x70621,x70623,x70624),x70625),x70626)),f326(f136(x70621,x70622),x70626))
% 178.51/178.26 [7064]P106(f326(x70641,x70642))+~E(f166(x70643,x70641,x70644),f326(f326(f251(f915(x70643),f915(x70643)),x70645),x70646))+~P106(f326(f326(f328(x70643),x70642),f326(f172(x70643),x70645)))
% 178.51/178.26 [7107]~P106(f326(x71072,x71076))+~E(f166(x71071,x71072,x71073),f326(f326(f251(f915(x71071),f915(x71071)),x71074),x71075))+~P106(f326(f326(f328(x71071),x71076),f326(f172(x71071),x71075)))
% 178.51/178.26 [7769]~P13(x77691,x77692,x77693)+~P106(f326(f61(x77691),x77696))+E(f326(f326(f64(x77691,x77692,x77693),x77694),f326(f326(f308(x77691),x77695),x77696)),f326(f326(f64(x77691,x77692,x77693),f326(f326(x77693,x77695),x77694)),x77696))
% 178.51/178.26 [7820]~P109(x78202)+~P106(f326(f326(f234(x78202),f326(x78203,x78204)),f326(x78203,x78205)))+E(f326(f326(f148(x78201,x78202,x78203),x78204),f326(f326(f151(x78201),x78205),x78206)),f326(f326(f151(x78201),x78204),f326(f326(f151(x78201),x78205),x78206)))
% 178.51/178.26 [7931]E(x79311,x79312)+~E(f326(f326(f253(x79313,x79314),x79311),f326(f18(f922(x79314,a910),x79313),x79315)),f326(f326(f253(x79313,x79314),x79312),f326(f18(f922(x79314,a910),x79313),x79315)))+~P106(f326(f326(f328(x79314),x79316),x79315))
% 178.51/178.26 [7997]~P13(x79971,x79972,x79973)+~P106(f326(f61(x79971),x79976))+E(f326(f326(f64(x79971,x79972,x79973),x79974),f326(f326(f308(x79971),x79975),x79976)),f326(f326(x79973,x79975),f326(f326(f64(x79971,x79972,x79973),x79974),x79976)))
% 178.51/178.26 [8112]~P15(x81121,x81122,x81123)+~P106(f326(f61(x81121),x81126))+E(f326(f326(f64(x81121,x81122,x81123),f326(f326(x81123,x81124),x81125)),x81126),f326(f326(x81123,x81124),f326(f326(f64(x81121,x81122,x81123),x81125),x81126)))
% 178.51/178.26 [8180]~P19(x81802,x81805,x81806,x81801)+~P106(f326(f61(x81802),x81804))+E(f326(x81801,f326(f326(f308(x81802),x81803),x81804)),f326(f72(x81805,x81805,x81805,f326(x81801,x81804)),f326(x81806,x81803)))
% 178.51/178.26 [8212]~P109(x82122)+P106(f326(f326(f234(x82122),f326(x82123,x82124)),f326(x82123,x82125)))+E(f326(f326(f148(x82121,x82122,x82123),x82124),f326(f326(f151(x82121),x82125),x82126)),f326(f326(f151(x82121),x82125),f326(f326(f148(x82121,x82122,x82123),x82124),x82126)))
% 178.51/178.26 [8349]~E(f326(f189(f915(x83491)),x83495),f326(f189(f915(x83492)),x83496))+~E(f326(f189(f915(x83491)),x83493),f326(f189(f915(x83492)),x83494))+E(f326(f326(f134(f921(x83491,x83492)),f326(f326(f181(x83491,x83492),x83493),x83494)),f326(f326(f181(x83491,x83492),x83495),x83496)),f326(f326(f181(x83491,x83492),f326(f326(f134(x83491),x83493),x83495)),f326(f326(f134(x83492),x83494),x83496)))
% 178.51/178.26 [8460]~E(x84602,f326(f309(x84603,x84601,x84604),x84606))+P106(f326(f326(f234(f922(x84601,a910)),x84602),f326(f309(x84603,x84601,x84604),x84605)))+~P106(f326(f326(f234(f922(x84603,a910)),x84606),x84605))
% 178.51/178.26 [8562]~P109(x85625)+E(f326(x85621,x85622),f326(x85621,x85623))+E(f326(f326(f148(x85624,x85625,x85621),x85622),f326(f326(f148(x85624,x85625,x85621),x85623),x85626)),f326(f326(f148(x85624,x85625,x85621),x85623),f326(f326(f148(x85624,x85625,x85621),x85622),x85626)))
% 178.51/178.26 [8733]~P106(f326(f326(f328(x87332),x87334),f326(x87336,x87333)))+~P106(f326(f326(f328(x87331),x87333),x87335))+P106(f326(f326(f328(f921(x87331,x87332)),f326(f326(f251(x87331,x87332),x87333),x87334)),f326(f326(f253(x87331,x87332),x87335),x87336)))
% 178.51/178.26 [9207]~P70(x92072)+~P24(x92074,x92071,x92075,x92076)+E(f326(f326(f8(x92071,x92072),x92073),f326(f309(x92074,x92071,x92075),x92076)),f326(f326(f8(x92074,x92072),f326(f72(x92071,x92072,x92074,x92073),x92075)),x92076))
% 178.51/178.26 [9208]~P75(x92082)+~P24(x92084,x92081,x92085,x92086)+E(f326(f326(f11(x92081,x92082),x92083),f326(f309(x92084,x92081,x92085),x92086)),f326(f326(f11(x92084,x92082),f326(f72(x92081,x92082,x92084,x92083),x92085)),x92086))
% 178.51/178.26 [9255]~P34(x92552,x92555,x92551,x92553,x92556)+P106(f326(f326(x92551,f326(f326(f164(x92552),x92553),x92554)),f326(f326(f164(x92555),x92556),x92554)))+~P106(f326(f326(f235(a914),x92554),f326(f189(f915(x92555)),x92556)))
% 178.51/178.26 [9256]~P34(x92562,x92565,x92561,x92563,x92566)+P106(f326(f326(x92561,f326(f326(f164(x92562),x92563),x92564)),f326(f326(f164(x92565),x92566),x92564)))+~P106(f326(f326(f235(a914),x92564),f326(f189(f915(x92562)),x92563)))
% 178.51/178.26 [9267]~E(f326(f309(x92671,x92672,x92673),x92674),x92676)+E(f326(f309(x92671,x92672,x92673),f326(f309(x92672,x92671,f91(x92671,x92672,x92674,x92673)),x92675)),x92675)+~P106(f326(f326(f234(f922(x92672,a910)),x92675),x92676))
% 178.51/178.26 [9470]~P18(x94703,x94701,x94706,x94702)+~P106(f326(f61(x94703),x94704))+E(f326(f72(x94701,x94701,x94701,f326(x94702,f326(f326(f3(f922(x94703,a910)),x94704),f326(f326(f308(x94703),x94705),f188(f922(x94703,a910)))))),f326(x94706,x94705)),f326(x94702,f326(f326(f308(x94703),x94705),x94704)))
% 178.51/178.26 [10080]~E(f326(f309(x100802,x100804,x100806),f241(f922(x100802,a910))),f241(f922(x100804,a910)))+~E(f326(f309(x100801,x100803,x100805),f241(f922(x100801,a910))),f241(f922(x100803,a910)))+E(f326(f309(f921(x100801,x100802),f921(x100803,x100804),f257(x100801,x100803,x100802,x100804,x100805,x100806)),f241(f922(f921(x100801,x100802),a910))),f241(f922(f921(x100803,x100804),a910)))
% 178.51/178.26 [10128]~P24(x101283,x101284,x101285,f326(x101286,f538(x101286,x101285,x101284,x101283,x101282,x101281)))+P24(x101283,x101284,x101285,f326(f326(f39(x101282,f922(x101283,a910)),x101281),x101286))+E(x101281,f188(f922(x101282,a910)))
% 178.51/178.26 [10185]P24(x101856,x101855,x101854,f326(f326(f39(x101852,f922(x101856,a910)),x101851),x101853))+E(x101851,f188(f922(x101852,a910)))+P106(f326(f326(f328(x101852),f538(x101853,x101854,x101855,x101856,x101852,x101851)),x101851))
% 178.51/178.26 [10190]P106(f326(f326(f328(x101901),f604(x101902,x101903,x101904,x101905,x101906,x101901)),x101906))+P106(f326(f326(f234(f922(f921(x101901,x101904),a910)),f326(f326(f253(x101901,x101904),x101906),x101903)),f326(f326(f253(x101901,x101904),x101905),x101902)))+~P106(f326(f326(f234(f922(x101901,a910)),x101906),x101905))
% 178.51/178.26 [10226]P23(x102266,x102265,f326(f326(f308(f913(x102266)),f326(f326(f326(f90(x102266),x102264),x102263),x102262)),f188(f922(f913(x102266),a910))))+~P23(x102266,x102265,f326(f326(f308(f913(x102266)),f326(f326(f326(f90(x102266),x102264),x102263),x102261)),f188(f922(f913(x102266),a910))))+P106(f326(f326(x102261,f556(x102262,x102261,x102263,x102264,x102265,x102266)),f665(x102262,x102261,x102263,x102264,x102265,x102266)))
% 178.51/178.26 [10227]P23(x102276,x102275,f326(f326(f308(f913(x102276)),f326(f326(f326(f90(x102276),x102271),x102273),x102272)),f188(f922(f913(x102276),a910))))+~P23(x102276,x102275,f326(f326(f308(f913(x102276)),f326(f326(f326(f90(x102276),x102274),x102273),x102272)),f188(f922(f913(x102276),a910))))+P106(f326(f326(x102271,f780(x102271,x102272,x102273,x102274,x102275,x102276)),f870(x102271,x102272,x102273,x102274,x102275,x102276)))
% 178.51/178.26 [10269]~P23(x102691,x102692,f326(f326(f308(f913(x102691)),f326(f326(f326(f90(x102691),x102693),x102694),x102696)),f188(f922(f913(x102691),a910))))+P23(x102691,x102692,f326(f326(f308(f913(x102691)),f326(f326(f326(f90(x102691),x102693),x102694),x102695)),f188(f922(f913(x102691),a910))))+~P106(f326(f326(x102695,f556(x102695,x102696,x102694,x102693,x102692,x102691)),f665(x102695,x102696,x102694,x102693,x102692,x102691)))
% 178.51/178.26 [10270]~P23(x102701,x102702,f326(f326(f308(f913(x102701)),f326(f326(f326(f90(x102701),x102706),x102704),x102705)),f188(f922(f913(x102701),a910))))+P23(x102701,x102702,f326(f326(f308(f913(x102701)),f326(f326(f326(f90(x102701),x102703),x102704),x102705)),f188(f922(f913(x102701),a910))))+~P106(f326(f326(x102706,f780(x102703,x102705,x102704,x102706,x102702,x102701)),f870(x102703,x102705,x102704,x102706,x102702,x102701)))
% 178.51/178.26 [10320]~P106(f326(f326(f234(f922(x103202,a910)),f326(x103204,f604(x103206,x103204,x103202,x103205,x103203,x103201))),f326(x103206,f604(x103206,x103204,x103202,x103205,x103203,x103201))))+~P106(f326(f326(f234(f922(x103201,a910)),x103203),x103205))+P106(f326(f326(f234(f922(f921(x103201,x103202),a910)),f326(f326(f253(x103201,x103202),x103203),x103204)),f326(f326(f253(x103201,x103202),x103205),x103206)))
% 178.51/178.26 [7953]~P106(f326(x79531,x79535))+~P106(f326(x79536,x79534))+P106(f326(x79531,f326(f255(x79532,x79533),f326(f326(f251(x79532,x79533),x79534),x79535))))
% 178.51/178.26 [7954]~P106(f326(x79541,x79544))+~P106(f326(x79546,x79545))+P106(f326(x79541,f326(f250(x79542,x79543),f326(f326(f251(x79542,x79543),x79544),x79545))))
% 178.51/178.26 [8002]~P106(f326(f326(x80024,x80026),x80025))+~P106(f326(f326(f328(x80021),x80026),x80023))+P106(f326(f326(f326(f40(x80021,f922(x80022,a910)),x80023),x80024),x80025))
% 178.51/178.26 [8301]~P106(f326(f326(f328(x83011),x83012),f326(x83015,x83016)))+~P106(f326(f326(f328(x83013),x83016),x83014))+P106(f326(f326(f328(x83011),x83012),f326(f326(f40(x83013,f922(x83011,a910)),x83014),x83015)))
% 178.51/178.26 [8343]P106(f326(f326(x83431,x83432),x83433))+~P106(f326(f326(x83434,x83432),x83433))+~P106(f326(f326(f234(f922(x83435,f922(x83436,a910))),x83434),x83431))
% 178.51/178.26 [8483]P106(f326(f326(x84831,x84832),x84833))+~P106(f326(f326(f328(x84834),x84832),x84835))+~P106(f326(f326(f326(f39(x84834,f922(x84836,a910)),x84835),x84831),x84833))
% 178.51/178.26 [8616]P106(f326(f326(f328(x86161),x86162),f326(x86163,x86164)))+~P106(f326(f326(f328(x86165),x86164),x86166))+~P106(f326(f326(f328(x86161),x86162),f326(f326(f39(x86165,f922(x86161,a910)),x86166),x86163)))
% 178.51/178.26 [8882]~P10(x88824,x88825,x88826,x88821)+E(f326(x88821,x88822),f326(x88821,x88823))+~P106(f326(f326(f328(f921(x88824,x88824)),f326(f326(f251(x88824,x88824),x88822),x88823)),x88826))
% 178.51/178.26 [8917]P106(f326(f326(f234(f922(x89171,a910)),x89172),f326(x89173,x89174)))+~P106(f326(f326(f328(x89175),x89174),x89176))+~P106(f326(f326(f234(f922(x89171,a910)),x89172),f326(f326(f39(x89175,f922(x89171,a910)),x89176),x89173)))
% 178.51/178.26 [8950]~P54(x89503,x89504,f326(f285(x89504,x89503),x89505))+E(x89501,f188(f922(x89502,a910)))+E(f326(f326(f39(x89502,f922(x89503,a910)),x89501),f326(f326(f10(f922(x89504,a910),f922(x89503,a910),x89502),f284(x89504,x89503,x89505)),x89506)),f326(f284(x89504,x89503,x89505),f326(f326(f39(x89502,f922(x89504,a910)),x89501),x89506)))
% 178.51/178.26 [9028]P106(f326(f326(f328(x90281),x90282),f326(f284(x90283,x90281,x90284),x90285)))+~P106(f326(f326(f328(x90283),x90286),x90285))+~P106(f326(f326(f328(f921(x90283,x90281)),f326(f326(f251(x90283,x90281),x90286),x90282)),x90284))
% 178.51/178.26 [9332]P106(f326(f326(f234(f922(x93321,a910)),f326(f284(x93322,x93321,x93323),x93324)),f326(f284(x93322,x93321,x93325),x93326)))+~P106(f326(f326(f234(f922(x93322,a910)),x93324),x93326))+~P106(f326(f326(f234(f922(f921(x93322,x93321),a910)),x93323),x93325))
% 178.51/178.26 [9519]~P106(f326(f326(f328(x95192),x95196),x95194))+~P106(f326(f326(f234(f922(x95191,a910)),x95193),x95195))+P106(f326(f326(f234(f922(f921(x95191,x95192),a910)),f326(f326(f253(x95191,x95192),x95193),f326(f18(f922(x95192,a910),x95191),x95194))),f326(f326(f253(x95191,x95192),x95195),f326(f18(f922(x95192,a910),x95191),x95194))))
% 178.51/178.26 [9531]~P34(x95311,x95312,x95313,x95315,x95316)+P106(f326(f326(f256(x95311,x95312,a910),x95313),x95314))+~P106(f326(f326(f328(f921(x95311,x95312)),x95314),f326(f172(f921(x95311,x95312)),f326(f326(f181(x95311,x95312),x95315),x95316))))
% 178.51/178.26 [9678]~E(x96783,x96785)+P106(f326(f326(f328(f921(f915(x96781),f915(x96781))),f326(f326(f251(f915(x96781),f915(x96781)),f326(f326(f151(x96781),x96782),x96783)),f326(f326(f151(x96781),x96784),x96785))),f157(x96781,x96786)))+~P106(f326(f326(f328(f921(x96781,x96781)),f326(f326(f251(x96781,x96781),x96782),x96784)),x96786))
% 178.51/178.26 [9684]~E(f326(f189(f915(x96841)),x96843),f326(f189(f915(x96841)),x96845))+P106(f326(f326(f328(f921(f915(x96841),f915(x96841))),f326(f326(f251(f915(x96841),f915(x96841)),f326(f326(f151(x96841),x96842),x96843)),f326(f326(f151(x96841),x96844),x96845))),f145(x96841,x96846)))+~P106(f326(f326(f328(f921(x96841,x96841)),f326(f326(f251(x96841,x96841),x96842),x96844)),x96846))
% 178.51/178.26 [9716]P106(f326(f326(f328(f921(x97161,x97161)),f326(f326(f251(x97161,x97161),x97162),x97163)),f326(f326(f183(f921(x97161,x97161),a910),f326(a112,x97164)),x97165)))+~P106(f326(f326(f328(f921(x97161,x97161)),f326(f326(f251(x97161,x97161),x97166),x97163)),x97165))+~P106(f326(f326(f328(f921(x97161,x97161)),f326(f326(f251(x97161,x97161),x97162),x97166)),f326(f326(f183(f921(x97161,x97161),a910),x97164),x97165)))
% 178.51/178.26 [9717]P106(f326(f326(f328(f921(x97171,x97171)),f326(f326(f251(x97171,x97171),x97172),x97173)),f326(f326(f183(f921(x97171,x97171),a910),f326(a112,x97174)),x97175)))+~P106(f326(f326(f328(f921(x97171,x97171)),f326(f326(f251(x97171,x97171),x97172),x97176)),x97175))+~P106(f326(f326(f328(f921(x97171,x97171)),f326(f326(f251(x97171,x97171),x97176),x97173)),f326(f326(f183(f921(x97171,x97171),a910),x97174),x97175)))
% 178.51/178.26 [9720]~P106(f326(f326(f328(x97204),x97205),x97206))+P106(f326(f326(f234(f922(x97201,a910)),x97202),x97203))+~P106(f326(f326(f234(f922(f921(x97201,x97204),a910)),f326(f326(f253(x97201,x97204),x97202),f326(f18(f922(x97204,a910),x97201),x97206))),f326(f326(f253(x97201,x97204),x97203),f326(f18(f922(x97204,a910),x97201),x97206))))
% 178.51/178.26 [9765]E(x97651,x97652)+~P106(f326(f326(f328(f921(f915(x97653),f915(x97653))),f326(f326(f251(f915(x97653),f915(x97653)),f326(f326(f151(x97653),x97651),x97655)),f326(f326(f151(x97653),x97652),x97656))),f145(x97653,x97654)))+P106(f326(f326(f328(f921(x97653,x97653)),f326(f326(f251(x97653,x97653),x97651),x97652)),x97654))
% 178.51/178.26 [9766]E(x97661,x97662)+~P106(f326(f326(f328(f921(f915(x97663),f915(x97663))),f326(f326(f251(f915(x97663),f915(x97663)),f326(f326(f151(x97663),x97661),x97665)),f326(f326(f151(x97663),x97662),x97666))),f147(x97663,x97664)))+P106(f326(f326(f328(f921(x97663,x97663)),f326(f326(f251(x97663,x97663),x97661),x97662)),x97664))
% 178.51/178.26 [9767]E(x97671,x97672)+~P106(f326(f326(f328(f921(f915(x97673),f915(x97673))),f326(f326(f251(f915(x97673),f915(x97673)),f326(f326(f151(x97673),x97671),x97675)),f326(f326(f151(x97673),x97672),x97676))),f157(x97673,x97674)))+P106(f326(f326(f328(f921(x97673,x97673)),f326(f326(f251(x97673,x97673),x97671),x97672)),x97674))
% 178.51/178.26 [9803]P106(f326(f326(f328(f921(f915(x98031),f915(x98031))),f326(f326(f251(f915(x98031),f915(x98031)),f326(f326(f151(x98031),x98032),x98033)),f326(f326(f151(x98031),x98034),x98035))),f158(x98031,x98036)))+~P106(f326(f326(f328(f921(f915(x98031),f915(x98031))),f326(f326(f251(f915(x98031),f915(x98031)),x98033),x98035)),f158(x98031,x98036)))+~P106(f326(f326(f328(f921(x98031,x98031)),f326(f326(f251(x98031,x98031),x98032),x98034)),x98036))
% 178.51/178.26 [9820]P106(f326(x98201,x98202))+~P106(f326(x98201,f469(x98201,x98203,x98204,x98205,x98206)))+~P106(f326(f326(f328(x98206),x98202),f326(f326(f40(x98205,f922(x98206,a910)),x98204),x98203)))
% 178.51/178.26 [9825]~P106(f326(f326(f328(f921(f915(x98251),f915(x98251))),f326(f326(f251(f915(x98251),f915(x98251)),f326(f326(f151(x98251),x98252),x98255)),f326(f326(f151(x98251),x98253),x98256))),f145(x98251,x98254)))+P106(f326(f326(f328(f921(f915(x98251),f915(x98251))),f326(f326(f251(f915(x98251),f915(x98251)),x98255),x98256)),f145(x98251,x98254)))+P106(f326(f326(f328(f921(x98251,x98251)),f326(f326(f251(x98251,x98251),x98252),x98253)),x98254))
% 178.51/178.26 [9826]~P106(f326(f326(f328(f921(f915(x98261),f915(x98261))),f326(f326(f251(f915(x98261),f915(x98261)),f326(f326(f151(x98261),x98262),x98265)),f326(f326(f151(x98261),x98263),x98266))),f147(x98261,x98264)))+P106(f326(f326(f328(f921(f915(x98261),f915(x98261))),f326(f326(f251(f915(x98261),f915(x98261)),x98265),x98266)),f147(x98261,x98264)))+P106(f326(f326(f328(f921(x98261,x98261)),f326(f326(f251(x98261,x98261),x98262),x98263)),x98264))
% 178.51/178.26 [9827]~P106(f326(f326(f328(f921(f915(x98271),f915(x98271))),f326(f326(f251(f915(x98271),f915(x98271)),f326(f326(f151(x98271),x98272),x98275)),f326(f326(f151(x98271),x98273),x98276))),f157(x98271,x98274)))+P106(f326(f326(f328(f921(f915(x98271),f915(x98271))),f326(f326(f251(f915(x98271),f915(x98271)),x98275),x98276)),f157(x98271,x98274)))+P106(f326(f326(f328(f921(x98271,x98271)),f326(f326(f251(x98271,x98271),x98272),x98273)),x98274))
% 178.51/178.26 [9915]P106(f326(x99151,x99152))+P106(f326(f326(f328(x99153),f470(x99151,x99154,x99155,x99153,x99156)),x99155))+~P106(f326(f326(f328(x99156),x99152),f326(f326(f40(x99153,f922(x99156,a910)),x99155),x99154)))
% 178.51/178.26 [9926]~E(x99262,x99264)+P106(f326(f326(f328(f921(f915(x99261),f915(x99261))),f326(f326(f251(f915(x99261),f915(x99261)),f326(f326(f134(x99261),x99262),f326(f326(f151(x99261),x99263),f113(x99261)))),f326(f326(f134(x99261),x99264),f326(f326(f151(x99261),x99265),f113(x99261))))),f157(x99261,x99266)))+~P106(f326(f326(f328(f921(x99261,x99261)),f326(f326(f251(x99261,x99261),x99263),x99265)),x99266))
% 178.51/178.26 [10001]E(x100011,x100012)+~P106(f326(f326(f328(f921(f915(x100013),f915(x100013))),f326(f326(f251(f915(x100013),f915(x100013)),f326(f326(f134(x100013),x100015),f326(f326(f151(x100013),x100011),f113(x100013)))),f326(f326(f134(x100013),x100016),f326(f326(f151(x100013),x100012),f113(x100013))))),f157(x100013,x100014)))+P106(f326(f326(f328(f921(x100013,x100013)),f326(f326(f251(x100013,x100013),x100011),x100012)),x100014))
% 178.51/178.26 [10032]~P106(f326(f326(f328(f921(f915(x100321),f915(x100321))),f326(f326(f251(f915(x100321),f915(x100321)),f326(f326(f134(x100321),x100325),f326(f326(f151(x100321),x100322),f113(x100321)))),f326(f326(f134(x100321),x100326),f326(f326(f151(x100321),x100323),f113(x100321))))),f157(x100321,x100324)))+P106(f326(f326(f328(f921(f915(x100321),f915(x100321))),f326(f326(f251(f915(x100321),f915(x100321)),x100325),x100326)),f157(x100321,x100324)))+P106(f326(f326(f328(f921(x100321,x100321)),f326(f326(f251(x100321,x100321),x100322),x100323)),x100324))
% 178.51/178.26 [10052]P106(f326(x100521,x100522))+P106(f326(f326(f328(x100523),f469(x100521,x100524,x100525,x100526,x100523)),f326(x100524,f470(x100521,x100524,x100525,x100526,x100523))))+~P106(f326(f326(f328(x100523),x100522),f326(f326(f40(x100526,f922(x100523,a910)),x100525),x100524)))
% 178.51/178.26 [10194]P106(f326(f326(f328(x101941),f839(x101942,x101943,x101944,x101945,x101946,x101941)),x101945))+~P106(f326(f326(f234(f922(x101941,a910)),x101946),x101945))+P106(f326(f326(f234(f922(x101944,a910)),f326(f326(f39(x101941,f922(x101944,a910)),x101945),x101943)),f326(f326(f39(x101941,f922(x101944,a910)),x101945),x101942)))
% 178.51/178.26 [10321]~P106(f326(f326(f234(f922(x103211,a910)),f326(x103214,f839(x103215,x103214,x103211,x103213,x103216,x103212))),f326(x103215,f839(x103215,x103214,x103211,x103213,x103216,x103212))))+~P106(f326(f326(f234(f922(x103212,a910)),x103216),x103213))+P106(f326(f326(f234(f922(x103211,a910)),f326(f326(f39(x103212,f922(x103211,a910)),x103213),x103214)),f326(f326(f39(x103212,f922(x103211,a910)),x103213),x103215)))
% 178.51/178.26 [9048]~P15(x90483,x90484,x90481)+~P106(f326(f61(x90483),x90486))+E(f326(f326(x90481,x90482),f326(f326(f64(x90483,x90484,x90481),x90485),f326(f326(f3(f922(x90483,a910)),x90486),f326(f326(f308(x90483),x90482),f188(f922(x90483,a910)))))),f326(f326(f64(x90483,x90484,x90481),x90485),f326(f326(f308(x90483),x90482),x90486)))
% 178.51/178.26 [9341]~P106(f326(f326(f328(x93415),x93413),x93416))+P106(f326(f326(f234(f922(x93411,a910)),f326(x93412,x93413)),x93414))+~P106(f326(f326(f234(f922(x93411,a910)),f326(f326(f40(x93415,f922(x93411,a910)),x93416),x93412)),x93414))
% 178.51/178.26 [9975]~P7(x99751,x99755,x99754)+P106(f326(f326(f328(f921(x99751,x99751)),f326(f326(f251(x99751,x99751),x99752),x99753)),x99754))+~P106(f326(f326(f328(x99751),x99756),f326(f326(f101(f922(x99751,a910)),f326(f284(x99751,x99751,x99754),f326(f326(f308(x99751),x99752),f188(f922(x99751,a910))))),f326(f284(x99751,x99751,x99754),f326(f326(f308(x99751),x99753),f188(f922(x99751,a910)))))))
% 178.51/178.26 [8770]~P111(x87702)+~E(f326(f326(f79(x87702),f326(f326(f80(x87702),x87704),x87705)),x87701),f326(f326(f79(x87702),f326(f326(f80(x87702),x87703),x87705)),x87706))+E(x87701,f326(f326(f79(x87702),f326(f326(f80(x87702),f326(f326(f3(x87702),x87703),x87704)),x87705)),x87706))
% 178.51/178.26 [8771]~P111(x87711)+~E(f326(f326(f79(x87711),f326(f326(f80(x87711),x87712),x87714)),x87715),f326(f326(f79(x87711),f326(f326(f80(x87711),x87713),x87714)),x87716))+E(f326(f326(f79(x87711),f326(f326(f80(x87711),f326(f326(f3(x87711),x87712),x87713)),x87714)),x87715),x87716)
% 178.51/178.26 [8953]~P111(x89531)+E(f326(f326(f79(x89531),f326(f326(f80(x89531),x89532),x89533)),x89534),f326(f326(f79(x89531),f326(f326(f80(x89531),x89535),x89533)),x89536))+~E(x89536,f326(f326(f79(x89531),f326(f326(f80(x89531),f326(f326(f3(x89531),x89532),x89535)),x89533)),x89534))
% 178.51/178.26 [8954]~P111(x89541)+E(f326(f326(f79(x89541),f326(f326(f80(x89541),x89542),x89543)),x89544),f326(f326(f79(x89541),f326(f326(f80(x89541),x89545),x89543)),x89546))+~E(f326(f326(f79(x89541),f326(f326(f80(x89541),f326(f326(f3(x89541),x89542),x89545)),x89543)),x89544),x89546)
% 178.51/178.26 [9278]~P106(f326(f326(x92784,x92785),x92786))+~P106(f326(f326(x92783,x92785),x92786))+P106(f326(f326(f326(f326(f101(f922(x92781,f922(x92782,a910))),x92783),x92784),x92785),x92786))
% 178.51/178.26 [9540]P106(f326(f326(x95401,x95402),x95403))+P106(f326(f326(x95404,x95402),x95403))+~P106(f326(f326(f326(f326(f110(f922(x95405,f922(x95406,a910))),x95404),x95401),x95402),x95403))
% 178.51/178.26 [9840]~P112(x98401)+~P106(f326(f326(f234(x98401),f326(f326(f79(x98401),f326(f326(f80(x98401),x98404),x98405)),x98402)),f326(f326(f79(x98401),f326(f326(f80(x98401),x98403),x98405)),x98406)))+P106(f326(f326(f234(x98401),x98402),f326(f326(f79(x98401),f326(f326(f80(x98401),f326(f326(f3(x98401),x98403),x98404)),x98405)),x98406)))
% 178.51/178.26 [9841]~P112(x98411)+~P106(f326(f326(f235(x98411),f326(f326(f79(x98411),f326(f326(f80(x98411),x98414),x98415)),x98412)),f326(f326(f79(x98411),f326(f326(f80(x98411),x98413),x98415)),x98416)))+P106(f326(f326(f235(x98411),x98412),f326(f326(f79(x98411),f326(f326(f80(x98411),f326(f326(f3(x98411),x98413),x98414)),x98415)),x98416)))
% 178.51/178.26 [9864]~P112(x98641)+P106(f326(f326(f234(x98641),f326(f326(f79(x98641),f326(f326(f80(x98641),x98642),x98643)),x98644)),f326(f326(f79(x98641),f326(f326(f80(x98641),x98645),x98643)),x98646)))+~P106(f326(f326(f234(x98641),x98644),f326(f326(f79(x98641),f326(f326(f80(x98641),f326(f326(f3(x98641),x98645),x98642)),x98643)),x98646)))
% 178.51/178.26 [9865]~P112(x98651)+P106(f326(f326(f235(x98651),f326(f326(f79(x98651),f326(f326(f80(x98651),x98652),x98653)),x98654)),f326(f326(f79(x98651),f326(f326(f80(x98651),x98655),x98653)),x98656)))+~P106(f326(f326(f235(x98651),x98654),f326(f326(f79(x98651),f326(f326(f80(x98651),f326(f326(f3(x98651),x98655),x98652)),x98653)),x98656)))
% 178.51/178.26 [9967]~P112(x99671)+~P106(f326(f326(f234(x99671),f326(f326(f79(x99671),f326(f326(f80(x99671),x99672),x99674)),x99675)),f326(f326(f79(x99671),f326(f326(f80(x99671),x99673),x99674)),x99676)))+P106(f326(f326(f234(x99671),f326(f326(f79(x99671),f326(f326(f80(x99671),f326(f326(f3(x99671),x99672),x99673)),x99674)),x99675)),x99676))
% 178.51/178.26 [9968]~P112(x99681)+~P106(f326(f326(f235(x99681),f326(f326(f79(x99681),f326(f326(f80(x99681),x99682),x99684)),x99685)),f326(f326(f79(x99681),f326(f326(f80(x99681),x99683),x99684)),x99686)))+P106(f326(f326(f235(x99681),f326(f326(f79(x99681),f326(f326(f80(x99681),f326(f326(f3(x99681),x99682),x99683)),x99684)),x99685)),x99686))
% 178.51/178.26 [10015]~P112(x100151)+P106(f326(f326(f234(x100151),f326(f326(f79(x100151),f326(f326(f80(x100151),x100152),x100153)),x100154)),f326(f326(f79(x100151),f326(f326(f80(x100151),x100155),x100153)),x100156)))+~P106(f326(f326(f234(x100151),f326(f326(f79(x100151),f326(f326(f80(x100151),f326(f326(f3(x100151),x100152),x100155)),x100153)),x100154)),x100156))
% 178.51/178.26 [10016]~P112(x100161)+P106(f326(f326(f235(x100161),f326(f326(f79(x100161),f326(f326(f80(x100161),x100162),x100163)),x100164)),f326(f326(f79(x100161),f326(f326(f80(x100161),x100165),x100163)),x100166)))+~P106(f326(f326(f235(x100161),f326(f326(f79(x100161),f326(f326(f80(x100161),f326(f326(f3(x100161),x100162),x100165)),x100163)),x100164)),x100166))
% 178.51/178.26 [10179]~P70(x101792)+~P106(f326(f61(x101791),x101796))+E(f326(f326(f8(x101791,x101792),f326(f326(f20(x101791,x101792,x101792),f326(f326(f20(x101791,x101792,f922(x101792,x101792)),f326(f326(f10(a910,f922(x101792,f922(x101792,x101792)),x101791),f96(x101792)),x101793)),x101794)),x101795)),x101796),f326(f326(f79(x101792),f326(f326(f8(x101791,x101792),x101794),f326(f326(f101(f922(x101791,a910)),x101796),f326(f261(x101791),x101793)))),f326(f326(f8(x101791,x101792),x101795),f326(f326(f101(f922(x101791,a910)),x101796),f326(f78(f922(x101791,a910)),f326(f261(x101791),x101793))))))
% 178.51/178.26 [10237]P106(f326(f326(f328(x102372),x102374),x102376))+P106(f326(f326(f328(x102372),x102375),x102376))+E(f326(f310(x102371,x102372,f326(f326(f9(x102371,x102372,x102372),f326(f326(f9(x102371,x102372,f922(x102372,x102372)),f326(f326(f10(a910,f922(x102372,f922(x102372,x102372)),x102371),f96(x102372)),f326(f326(f9(x102371,f922(x102371,a910),a910),f328(x102371)),x102373))),x102374)),x102375)),x102376),f188(f922(x102371,a910)))
% 178.51/178.26 [10238]P106(f326(f326(f328(x102382),x102385),x102386))+~P106(f326(f326(f328(x102382),x102384),x102386))+E(f326(f310(x102381,x102382,f326(f326(f9(x102381,x102382,x102382),f326(f326(f9(x102381,x102382,f922(x102382,x102382)),f326(f326(f10(a910,f922(x102382,f922(x102382,x102382)),x102381),f96(x102382)),f326(f326(f9(x102381,f922(x102381,a910),a910),f328(x102381)),x102383))),x102384)),x102385)),x102386),x102383)
% 178.51/178.26 [10239]P106(f326(f326(f328(x102392),x102394),x102396))+~P106(f326(f326(f328(x102392),x102395),x102396))+E(f326(f310(x102391,x102392,f326(f326(f9(x102391,x102392,x102392),f326(f326(f9(x102391,x102392,f922(x102392,x102392)),f326(f326(f10(a910,f922(x102392,f922(x102392,x102392)),x102391),f96(x102392)),f326(f326(f9(x102391,f922(x102391,a910),a910),f328(x102391)),x102393))),x102394)),x102395)),x102396),f326(f78(f922(x102391,a910)),x102393))
% 178.51/178.26 [10240]~P106(f326(f326(f328(x102402),x102404),x102406))+~P106(f326(f326(f328(x102402),x102405),x102406))+E(f326(f310(x102401,x102402,f326(f326(f9(x102401,x102402,x102402),f326(f326(f9(x102401,x102402,f922(x102402,x102402)),f326(f326(f10(a910,f922(x102402,f922(x102402,x102402)),x102401),f96(x102402)),f326(f326(f9(x102401,f922(x102401,a910),a910),f328(x102401)),x102403))),x102404)),x102405)),x102406),f241(f922(x102401,a910)))
% 178.51/178.26 [8803]E(x88031,x88032)+~P56(x88034,x88035,x88033,x88036,x88037)+~E(f326(x88033,x88031),f326(x88033,x88032))
% 178.51/178.26 [8832]~P9(x88326,x88325,x88327,x88324,x88321)+E(f326(f326(x88321,x88322),x88323),x88324)+P106(f326(f61(x88325),x88323))
% 178.51/178.26 [9707]P42(x97071,x97072,x97073,x97074,x97075,f326(f326(x97073,x97076),x97077))+~E(f326(f326(x97073,x97076),x97077),x97074)+~E(x97075,f188(f922(x97071,a910)))
% 178.51/178.26 [9886]~P106(f326(x98866,x98863))+~P106(f326(f326(f328(f921(x98862,x98862)),f326(f326(f251(x98862,x98862),x98864),x98865)),f326(x98867,x98863)))+P106(f326(f326(f328(f921(f921(x98861,x98862),f921(x98861,x98862))),f326(f326(f251(f921(x98861,x98862),f921(x98861,x98862)),f326(f326(f251(x98861,x98862),x98863),x98864)),f326(f326(f251(x98861,x98862),x98863),x98865))),f279(x98861,x98862,x98866,x98867)))
% 178.51/178.26 [10305]~P42(x103052,x103057,x103053,x103056,x103051,f326(f326(x103053,x103055),x103054))+E(f326(f326(x103053,f461(x103054,x103055,x103051,x103056,x103053,x103057,x103052)),f468(x103054,x103055,x103051,x103056,x103053,x103057,x103052)),f326(f326(x103053,x103055),x103054))+E(x103051,f188(f922(x103052,a910)))
% 178.51/178.26 [10306]~P42(x103067,x103066,x103061,x103064,x103065,f326(f326(x103061,x103062),x103063))+E(f326(f326(x103061,f461(x103063,x103062,x103065,x103064,x103061,x103066,x103067)),f468(x103063,x103062,x103065,x103064,x103061,x103066,x103067)),f326(f326(x103061,x103062),x103063))+E(f326(f326(x103061,x103062),x103063),x103064)
% 178.51/178.26 [9375]~P34(x93751,x93752,x93753,x93755,x93757)+P34(x93751,x93752,x93753,f326(f326(f151(x93751),x93754),x93755),f326(f326(f151(x93752),x93756),x93757))+~P106(f326(f326(x93753,x93754),x93756))
% 178.51/178.26 [9392]P34(x93921,x93922,x93923,x93924,x93925)+~P34(x93921,x93922,x93923,f326(f326(f134(x93921),x93926),x93924),f326(f326(f134(x93922),x93927),x93925))+~E(f326(f189(f915(x93921)),x93926),f326(f189(f915(x93922)),x93927))
% 178.51/178.26 [9393]P34(x93931,x93932,x93933,x93934,x93935)+~P34(x93931,x93932,x93933,f326(f326(f134(x93931),x93934),x93936),f326(f326(f134(x93932),x93935),x93937))+~E(f326(f189(f915(x93931)),x93934),f326(f189(f915(x93932)),x93935))
% 178.51/178.26 [9605]~P34(x96051,x96052,x96053,x96055,x96057)+~P34(x96051,x96052,x96053,x96054,x96056)+P34(x96051,x96052,x96053,f326(f326(f134(x96051),x96054),x96055),f326(f326(f134(x96052),x96056),x96057))
% 178.51/178.26 [9960]~P106(f326(f66(x99601,x99604,x99605,x99606,x99603),x99607))+P106(f326(f66(x99601,x99604,x99605,x99606,f326(f326(f308(x99601),x99602),x99603)),f326(f326(x99605,x99602),x99607)))+P106(f326(f326(f328(x99601),x99602),x99603))
% 178.51/178.26 [10337]~P42(x103372,x103377,x103376,x103375,x103371,f326(f326(x103376,x103374),x103373))+E(x103371,f188(f922(x103372,a910)))+P106(f326(f326(f328(x103372),f461(x103373,x103374,x103371,x103375,x103376,x103377,x103372)),x103371))
% 178.51/178.26 [10338]~P42(x103385,x103387,x103381,x103384,x103386,f326(f326(x103381,x103382),x103383))+E(f326(f326(x103381,x103382),x103383),x103384)+P106(f326(f326(f328(x103385),f461(x103383,x103382,x103386,x103384,x103381,x103387,x103385)),x103386))
% 178.51/178.26 [10430]E(f326(f326(f251(x104301,x104302),x104303),x104304),f326(f326(f251(x104301,x104302),x104305),x104306))+P106(f326(f326(f328(f921(f921(x104301,x104302),f921(x104301,x104302))),f326(f326(f251(f921(x104301,x104302),f921(x104301,x104302)),f326(f326(f251(x104301,x104302),f844(x104307,x104304,x104303,x104306,x104305,x104302,x104301)),f847(x104307,x104304,x104303,x104306,x104305,x104302,x104301))),f326(f326(f251(x104301,x104302),x104303),x104304))),f306(f921(x104301,x104302),x104307)))+~P106(f326(f326(f328(f921(f921(x104301,x104302),f921(x104301,x104302))),f326(f326(f251(f921(x104301,x104302),f921(x104301,x104302)),f326(f326(f251(x104301,x104302),x104305),x104306)),f326(f326(f251(x104301,x104302),x104303),x104304))),f306(f921(x104301,x104302),x104307)))
% 178.51/178.26 [9073]~P20(x90734,x90735,x90736,x90737,x90731)+~P106(f326(f61(x90735),x90733))+E(f326(f326(x90731,x90732),x90733),f326(f326(f326(f65(x90734,x90735,x90736),x90732),x90737),x90733))
% 178.51/178.26 [9074]~P9(x90744,x90745,x90746,x90747,x90741)+~P106(f326(f61(x90745),x90743))+E(f326(f326(x90741,x90742),x90743),f326(f326(f326(f65(x90744,x90745,x90746),x90742),x90747),x90743))
% 178.51/178.26 [9671]~P23(x96711,x96712,f326(f326(f308(f913(x96711)),f326(f326(f326(f90(x96711),x96713),x96714),x96717)),f188(f922(f913(x96711),a910))))+P23(x96711,x96712,f326(f326(f308(f913(x96711)),f326(f326(f326(f90(x96711),x96713),f30(x96714,x96715)),x96716)),f188(f922(f913(x96711),a910))))+~P23(x96711,x96712,f326(f326(f308(f913(x96711)),f326(f326(f326(f90(x96711),x96717),x96715),x96716)),f188(f922(f913(x96711),a910))))
% 178.51/178.26 [9859]~P22(x98593,x98594,x98595,x98597,x98596,x98591)+~P106(f326(f61(x98594),x98592))+E(f326(x98591,x98592),f326(f326(f326(f65(x98593,x98594,x98595),x98596),x98597),x98592))
% 178.51/178.26 [10010]P42(x100101,x100102,x100103,x100104,x100105,f326(f326(x100103,x100106),x100107))+~P42(x100101,x100102,x100103,x100104,f326(f326(f3(f922(x100101,a910)),x100105),f326(f326(f308(x100101),x100106),f188(f922(x100101,a910)))),x100107)+~P106(f326(f326(f328(x100101),x100106),x100105))
% 178.51/178.26 [10271]~P23(x102711,x102712,f326(f326(f308(f913(x102711)),f326(f326(f326(f90(x102711),f92(x102711,x102713,x102714)),x102715),x102717)),f188(f922(f913(x102711),a910))))+P23(x102711,x102712,f326(f326(f308(f913(x102711)),f326(f326(f326(f90(x102711),x102713),f27(x102714,x102715,x102716)),x102717)),f188(f922(f913(x102711),a910))))+~P23(x102711,x102712,f326(f326(f308(f913(x102711)),f326(f326(f326(f90(x102711),f92(x102711,x102713,f326(f72(a910,a910,a912,a321),x102714))),x102716),x102717)),f188(f922(f913(x102711),a910))))
% 178.51/178.26 [10362]P106(f326(f326(x103627,f789(x103624,x103625,x103621,x103626,x103623,x103622,x103627)),f788(x103624,x103625,x103621,x103626,x103623,x103622,x103627)))+~P106(f326(f326(x103627,f326(f255(x103622,x103623),x103626)),f326(f250(x103622,x103623),x103626)))+P106(f326(x103621,f326(f326(f256(x103622,x103623,x103624),x103625),x103626)))
% 178.51/178.26 [10363]P23(x103637,x103636,f326(f326(f308(f913(x103637)),f326(f326(f326(f90(x103637),x103631),x103634),x103632)),f188(f922(f913(x103637),a910))))+~P23(x103637,x103636,f326(f326(f308(f913(x103637)),f326(f326(f326(f90(x103637),x103635),x103634),x103633)),f188(f922(f913(x103637),a910))))+P106(f326(f326(x103631,f879(x103632,x103631,x103633,x103634,x103635,x103636,x103637)),f889(x103632,x103631,x103633,x103634,x103635,x103636,x103637)))
% 178.51/178.26 [10373]~P42(x103732,x103733,x103734,x103735,x103731,f326(f326(x103734,x103737),x103736))+P42(x103732,x103733,x103734,x103735,f326(f326(f3(f922(x103732,a910)),x103731),f326(f326(f308(x103732),f461(x103736,x103737,x103731,x103735,x103734,x103733,x103732)),f188(f922(x103732,a910)))),f468(x103736,x103737,x103731,x103735,x103734,x103733,x103732))+E(x103731,f188(f922(x103732,a910)))
% 178.51/178.26 [10374]~P42(x103745,x103746,x103741,x103744,x103747,f326(f326(x103741,x103742),x103743))+P42(x103745,x103746,x103741,x103744,f326(f326(f3(f922(x103745,a910)),x103747),f326(f326(f308(x103745),f461(x103743,x103742,x103747,x103744,x103741,x103746,x103745)),f188(f922(x103745,a910)))),f468(x103743,x103742,x103747,x103744,x103741,x103746,x103745))+E(f326(f326(x103741,x103742),x103743),x103744)
% 178.51/178.26 [10375]~P23(x103751,x103752,f326(f326(f308(f913(x103751)),f326(f326(f326(f90(x103751),x103757),x103754),x103756)),f188(f922(f913(x103751),a910))))+P23(x103751,x103752,f326(f326(f308(f913(x103751)),f326(f326(f326(f90(x103751),x103753),x103754),x103755)),f188(f922(f913(x103751),a910))))+~P106(f326(f326(x103755,f879(x103755,x103753,x103756,x103754,x103757,x103752,x103751)),f898(x103755,x103753,x103756,x103754,x103757,x103752,x103751)))
% 178.51/178.26 [10396]~P106(f326(x103961,f326(f326(x103965,f788(x103964,x103965,x103961,x103966,x103963,x103962,x103967)),f789(x103964,x103965,x103961,x103966,x103963,x103962,x103967))))+~P106(f326(f326(x103967,f326(f255(x103962,x103963),x103966)),f326(f250(x103962,x103963),x103966)))+P106(f326(x103961,f326(f326(f256(x103962,x103963,x103964),x103965),x103966)))
% 178.51/178.26 [10397]~P23(x103971,x103972,f326(f326(f308(f913(x103971)),f326(f326(f326(f90(x103971),x103974),x103975),x103977)),f188(f922(f913(x103971),a910))))+~P23(x103971,x103972,f326(f326(f308(f913(x103971)),f326(f326(f326(f90(x103971),x103973),x103975),x103976)),f188(f922(f913(x103971),a910))))+P23(x103971,x103972,f326(f326(f308(f913(x103971)),f326(f326(f326(f90(x103971),f326(f326(f20(x103971,f922(a912,a910),f922(a912,a910)),f326(f326(f10(f922(a912,f922(a910,a910)),f922(f922(a912,a910),f922(a912,a910)),x103971),f20(a912,a910,a910)),f326(f326(f10(f922(a912,a910),f922(a912,f922(a910,a910)),x103971),f326(f10(a910,f922(a910,a910),a912),a324)),x103973))),x103974)),x103975),f326(f326(f20(x103971,f922(a912,a910),f922(a912,a910)),f326(f326(f10(f922(a912,f922(a910,a910)),f922(f922(a912,a910),f922(a912,a910)),x103971),f20(a912,a910,a910)),f326(f326(f10(f922(a912,a910),f922(a912,f922(a910,a910)),x103971),f326(f10(a910,f922(a910,a910),a912),a324)),x103976))),x103977))),f188(f922(f913(x103971),a910))))
% 178.51/178.26 [9692]P106(f326(f326(f234(f922(f921(x96921,x96922),a910)),f326(f326(f288(x96921,x96923,x96922),x96924),x96925)),f326(f326(f288(x96921,x96923,x96922),x96926),x96927)))+~P106(f326(f326(f234(f922(f921(x96923,x96922),a910)),x96925),x96927))+~P106(f326(f326(f234(f922(f921(x96921,x96923),a910)),x96924),x96926))
% 178.51/178.26 [10424]E(f326(f326(f251(x104241,x104242),x104243),x104244),f326(f326(f251(x104241,x104242),x104245),x104246))+~P106(f326(f326(f328(f921(f921(x104241,x104242),f921(x104241,x104242))),f326(f326(f251(f921(x104241,x104242),f921(x104241,x104242)),f326(f326(f251(x104241,x104242),x104243),x104244)),f326(f326(f251(x104241,x104242),x104245),x104246))),f306(f921(x104241,x104242),x104247)))+P106(f326(f326(f328(f921(f921(x104241,x104242),f921(x104241,x104242))),f326(f326(f251(f921(x104241,x104242),f921(x104241,x104242)),f326(f326(f251(x104241,x104242),x104243),x104244)),f326(f326(f251(x104241,x104242),f844(x104247,x104246,x104245,x104244,x104243,x104242,x104241)),f847(x104247,x104246,x104245,x104244,x104243,x104242,x104241)))),x104247))
% 178.51/178.26 [10021]~P106(f326(f326(f328(x100211),x100216),x100215))+P106(f326(f66(x100211,x100212,x100213,x100214,x100215),f326(f326(x100213,x100216),x100217)))+~P106(f326(f66(x100211,x100212,x100213,x100214,f326(f326(f3(f922(x100211,a910)),x100215),f326(f326(f308(x100211),x100216),f188(f922(x100211,a910))))),x100217))
% 178.51/178.26 [10437]~P145(x104371)+~P24(f921(x104372,x104373),x104371,f326(f256(x104372,x104373,x104371),f326(f326(f9(x104372,f922(x104373,x104371),f922(x104373,x104371)),f326(f326(f10(f922(x104371,x104371),f922(f922(x104373,x104371),f922(x104373,x104371)),x104372),f10(x104371,x104371,x104373)),f326(f326(f10(x104371,f922(x104371,x104371),x104372),f80(x104371)),x104374))),x104375)),f326(f326(f253(x104372,x104373),x104376),f326(f18(f922(x104373,a910),x104372),x104377)))+E(f326(f326(f8(x104371,x104371),f31(x104371)),f326(f261(x104371),f326(f326(f10(f922(x104372,a910),a910,x104371),f86(x104372)),f326(f326(f10(f922(x104372,f922(x104373,a910)),f922(x104372,a910),x104371),f326(f10(f922(x104373,a910),a910,x104372),f86(x104373))),f326(f326(f9(x104371,f922(x104372,f922(x104373,a910)),f922(x104372,f922(x104373,a910))),f326(f326(f10(f922(x104372,f922(f922(x104373,a910),f922(x104373,a910))),f922(f922(x104372,f922(x104373,a910)),f922(x104372,f922(x104373,a910))),x104371),f20(x104372,f922(x104373,a910),f922(x104373,a910))),f326(f326(f10(f922(x104372,f922(x104373,f922(a910,a910))),f922(x104372,f922(f922(x104373,a910),f922(x104373,a910))),x104371),f326(f10(f922(x104373,f922(a910,a910)),f922(f922(x104373,a910),f922(x104373,a910)),x104372),f20(x104373,a910,a910))),f326(f326(f10(f922(x104372,f922(x104373,a910)),f922(x104372,f922(x104373,f922(a910,a910))),x104371),f326(f10(f922(x104373,a910),f922(x104373,f922(a910,a910)),x104372),f326(f10(a910,f922(a910,a910),x104373),a325))),f326(f326(f9(x104371,f922(x104372,f922(x104373,x104371)),f922(x104372,f922(x104373,a910))),f326(f326(f10(f922(f922(x104373,x104371),f922(x104373,a910)),f922(f922(x104372,f922(x104373,x104371)),f922(x104372,f922(x104373,a910))),x104371),f10(f922(x104373,x104371),f922(x104373,a910),x104372)),f326(f326(f10(f922(x104371,a910),f922(f922(x104373,x104371),f922(x104373,a910)),x104371),f10(x104371,a910,x104373)),a323))),f326(f326(f9(x104372,f922(x104373,x104371),f922(x104373,x104371)),f326(f326(f10(f922(x104371,x104371),f922(f922(x104373,x104371),f922(x104373,x104371)),x104372),f10(x104371,x104371,x104373)),f326(f326(f10(x104371,f922(x104371,x104371),x104372),f80(x104371)),x104374))),x104375)))))),f326(f326(f9(x104372,f922(x104373,a910),f922(x104373,a910)),f326(f326(f10(f922(a910,a910),f922(f922(x104373,a910),f922(x104373,a910)),x104372),f10(a910,a910,x104373)),f326(f326(f10(a910,f922(a910,a910),x104372),a325),f326(f326(f9(x104372,f922(x104372,a910),a910),f328(x104372)),x104376)))),f326(f326(f9(x104373,f922(x104373,a910),a910),f328(x104373)),x104377))))))),f326(f326(f80(x104371),f326(f326(f8(x104372,x104371),x104374),x104376)),f326(f326(f8(x104373,x104371),x104375),x104377)))
% 178.51/178.26 [9696]~P25(x96961,x96963,x96965,x96966,x96968)+~P25(x96963,x96962,x96964,x96968,x96967)+P25(x96961,x96962,f326(f72(x96963,x96962,x96961,x96964),x96965),x96966,x96967)
% 178.51/178.26 [9725]P25(x97251,x97252,x97253,x97254,x97255)+~P25(x97256,x97251,x97257,x97258,x97254)+~P25(x97256,x97252,f326(f72(x97251,x97252,x97256,x97253),x97257),x97258,x97255)
% 178.51/178.26 [9857]~P106(f326(f326(x98574,x98576),x98578))+~P106(f326(f326(x98575,x98578),x98577))+P106(f326(f326(f252(x98571,x98572,x98573,x98574,x98575),x98576),x98577))
% 178.51/178.26 [9447]~P18(x94478,x94471,x94473,x94475)+~P106(f326(f61(x94478),x94476))+E(f326(f72(x94471,x94471,x94472,f326(x94473,x94474)),f326(f72(x94471,x94471,x94472,f326(x94475,x94476)),x94477)),f326(f72(x94471,x94471,x94472,f326(x94475,x94476)),f326(f72(x94471,x94471,x94472,f326(x94473,x94474)),x94477)))
% 178.51/178.26 [9847]~P21(x98477,x98472,x98475,x98478,x98476,x98471)+~P106(f326(f61(x98472),x98474))+E(f326(x98471,f326(f326(f308(x98472),x98473),x98474)),f326(f326(x98475,f326(x98476,x98473)),f326(x98471,x98474)))
% 178.51/178.26 [9965]~P24(x99652,x99654,x99656,x99658)+~P24(x99651,x99653,x99655,x99657)+P24(f921(x99651,x99652),f921(x99653,x99654),f257(x99651,x99653,x99652,x99654,x99655,x99656),f326(f326(f253(x99651,x99652),x99657),f326(f18(f922(x99652,a910),x99651),x99658)))
% 178.51/178.26 [9631]P106(f326(f326(f328(f921(x96311,x96312)),f326(f326(f251(x96311,x96312),x96313),x96314)),f326(f326(f288(x96311,x96315,x96312),x96316),x96317)))+~P106(f326(f326(f328(f921(x96311,x96315)),f326(f326(f251(x96311,x96315),x96313),x96318)),x96316))+~P106(f326(f326(f328(f921(x96315,x96312)),f326(f326(f251(x96315,x96312),x96318),x96314)),x96317))
% 178.51/178.26 [9828]~P106(f326(f326(f234(f922(f921(x98283,x98282),a910)),x98285),f326(f326(f253(x98283,x98282),x98288),f326(f18(f922(x98282,a910),x98283),x98287))))+~P106(f326(f326(f234(f922(f921(x98281,x98283),a910)),x98284),f326(f326(f253(x98281,x98283),x98286),f326(f18(f922(x98283,a910),x98281),x98288))))+P106(f326(f326(f234(f922(f921(x98281,x98282),a910)),f326(f326(f288(x98281,x98283,x98282),x98284),x98285)),f326(f326(f253(x98281,x98282),x98286),f326(f18(f922(x98282,a910),x98281),x98287))))
% 178.51/178.26 [9881]~E(x98813,x98815)+P106(f326(f326(f328(f921(f921(x98811,x98812),f921(x98811,x98812))),f326(f326(f251(f921(x98811,x98812),f921(x98811,x98812)),f326(f326(f251(x98811,x98812),x98813),x98814)),f326(f326(f251(x98811,x98812),x98815),x98816))),f319(x98811,x98812,x98817,x98818)))+~P106(f326(f326(f328(f921(x98812,x98812)),f326(f326(f251(x98812,x98812),x98814),x98816)),x98818))
% 178.51/178.26 [9984]E(x99841,x99842)+~P106(f326(f326(f328(f921(f921(x99843,x99845),f921(x99843,x99845))),f326(f326(f251(f921(x99843,x99845),f921(x99843,x99845)),f326(f326(f251(x99843,x99845),x99841),x99846)),f326(f326(f251(x99843,x99845),x99842),x99847))),f319(x99843,x99845,x99844,x99848)))+P106(f326(f326(f328(f921(x99843,x99843)),f326(f326(f251(x99843,x99843),x99841),x99842)),x99844))
% 178.51/178.26 [10000]~P106(f326(f326(f328(f921(f921(x100001,x100005),f921(x100001,x100005))),f326(f326(f251(f921(x100001,x100005),f921(x100001,x100005)),f326(f326(f251(x100001,x100005),x100002),x100006)),f326(f326(f251(x100001,x100005),x100003),x100007))),f319(x100001,x100005,x100004,x100008)))+P106(f326(f326(f328(f921(x100001,x100001)),f326(f326(f251(x100001,x100001),x100002),x100003)),x100004))+P106(f326(f326(f328(f921(x100005,x100005)),f326(f326(f251(x100005,x100005),x100006),x100007)),x100008))
% 178.51/178.26 [9916]~P22(x99167,x99165,x99161,x99168,x99162,x99164)+~P106(f326(f61(x99165),x99166))+E(f326(f326(x99161,f326(x99162,x99163)),f326(x99164,f326(f326(f3(f922(x99165,a910)),x99166),f326(f326(f308(x99165),x99163),f188(f922(x99165,a910)))))),f326(x99164,f326(f326(f308(x99165),x99163),x99166)))
% 178.51/178.26 [9399]~P106(f326(f326(f326(x93995,x93998),x93996),x93997))+~P106(f326(f326(f328(x93991),x93998),x93994))+P106(f326(f326(f326(f326(f40(x93991,f922(x93992,f922(x93993,a910))),x93994),x93995),x93996),x93997))
% 178.51/178.26 [9616]P106(f326(f326(f326(x96161,x96162),x96163),x96164))+~P106(f326(f326(f328(x96165),x96162),x96166))+~P106(f326(f326(f326(f326(f39(x96165,f922(x96167,f922(x96168,a910))),x96166),x96161),x96163),x96164))
% 178.51/178.26 [9821]~P20(x98213,x98212,x98214,x98218,x98211)+~P106(f326(f61(x98212),x98217))+E(f326(f326(x98211,f326(f326(f20(x98212,x98213,x98213),f326(f326(f10(x98213,f922(x98213,x98213),x98212),x98214),x98215)),x98216)),x98217),f326(f326(x98214,f326(f326(x98211,x98215),x98217)),f326(f326(x98211,x98216),x98217)))
% 178.51/178.26 [10086]~E(f326(f309(x100862,x100864,x100866),x100868),x1008610)+~E(f326(f309(x100861,x100863,x100865),x100867),x100869)+E(f326(f309(f921(x100861,x100862),f921(x100863,x100864),f257(x100861,x100863,x100862,x100864,x100865,x100866)),f326(f326(f253(x100861,x100862),x100867),f326(f18(f922(x100862,a910),x100861),x100868))),f326(f326(f253(x100863,x100864),x100869),f326(f18(f922(x100864,a910),x100863),x1008610)))
% 178.51/178.26 [5054]~P43(x50541,x50542)+~P49(x50541,x50542)+~P50(x50541,x50542)+P6(x50541,x50542)
% 178.51/178.26 [5010]~P109(x50102)+~P12(x50102,x50101)+P12(x50102,f114(x50102,x50101))+E(x50101,f113(x50102))
% 178.51/178.26 [5011]~P109(x50112)+~P12(x50112,x50111)+P12(x50112,f707(x50111,x50112))+E(x50111,f113(x50112))
% 178.51/178.26 [5258]~P4(x52582)+E(f12(x52582,x52581),f37(x52582,x52581))+E(x52581,f188(f922(x52582,a910)))+~P106(f326(f61(x52582),x52581))
% 178.51/178.26 [5259]~P4(x52592)+E(f13(x52592,x52591),f38(x52592,x52591))+E(x52591,f188(f922(x52592,a910)))+~P106(f326(f61(x52592),x52591))
% 178.51/178.26 [5418]~P109(x54182)+~P12(x54182,x54181)+E(x54181,f113(x54182))+E(f326(f326(f151(x54182),f727(x54181,x54182)),f707(x54181,x54182)),x54181)
% 178.51/178.26 [6232]~P78(x62322)+E(x62321,f188(f922(x62322,a910)))+P106(f326(f326(f234(x62322),f13(x62322,x62321)),f12(x62322,x62321)))+~P106(f326(f61(x62322),x62321))
% 178.51/178.26 [6244]~P40(x62442)+~P40(x62441)+E(x62441,x62442)+~E(f326(f309(a1,a914,a104),x62441),f326(f309(a1,a914,a104),x62442))
% 178.51/178.26 [9257]~P119(x92571)+~P106(f326(f326(f328(x92571),x92572),f109(x92571)))+P106(f326(f326(f235(x92571),f326(f326(f79(x92571),f326(f326(f79(x92571),f77(x92571)),x92572)),x92572)),f2(x92571)))+~P106(f326(f326(f235(x92571),x92572),f2(x92571)))
% 178.51/178.26 [9500]~P119(x95001)+~P106(f326(f326(f328(x95001),x95002),f109(x95001)))+~P106(f326(f326(f235(x95001),f326(f326(f79(x95001),f326(f326(f79(x95001),f77(x95001)),x95002)),x95002)),f2(x95001)))+P106(f326(f326(f235(x95001),x95002),f2(x95001)))
% 178.51/178.26 [5069]~P116(x50692)+~P145(x50692)+E(x50691,f2(a914))+E(f326(f326(f243(x50692),f2(x50692)),x50691),f2(x50692))
% 178.51/178.26 [5072]~P116(x50721)+~P145(x50721)+~E(x50722,f2(a914))+E(f326(f326(f243(x50721),f2(x50721)),x50722),f77(x50721))
% 178.51/178.26 [5244]~P142(x52442)+E(x52441,f77(x52442))+E(x52441,f326(f78(x52442),f77(x52442)))+~E(f326(f326(f80(x52442),x52441),x52441),f77(x52442))
% 178.51/178.26 [5498]~P91(x54982)+E(x54981,f2(x54982))+E(f81(x54982,x54981),f326(f78(x54982),f77(x54982)))+P106(f326(f326(f235(x54982),f2(x54982)),x54981))
% 178.51/178.26 [5738]~P91(x57382)+E(f81(x57382,x57381),f77(x57382))+E(x57381,f2(x57382))+~P106(f326(f326(f235(x57382),f2(x57382)),x57381))
% 178.51/178.26 [5747]E(x57471,x57472)+~E(f326(f103(a914),x57471),f326(f103(a914),x57472))+P106(f326(a193,f326(f103(a1),x57472)))+P106(f326(a193,f326(f103(a1),x57471)))
% 178.51/178.26 [5797]~P93(x57971)+~E(x57972,f2(x57971))+E(f326(f326(f79(x57971),x57972),x57972),f2(x57971))+~P106(f326(f326(f328(x57971),x57972),f109(x57971)))
% 178.51/178.26 [5836]E(x58361,f2(a1))+~E(f326(f326(f36(a1),x58362),x58361),f2(a1))+P106(f326(f326(f235(a1),x58361),x58362))+P106(f326(f326(f235(a1),x58362),x58361))
% 178.51/178.26 [5866]E(x58661,f2(a1))+~E(f326(f326(f36(a1),x58662),x58661),f2(a1))+P106(f326(f326(f234(a1),x58662),f2(a1)))+P106(f326(f326(f235(a1),x58662),x58661))
% 178.51/178.26 [5900]E(x59001,f2(a1))+~E(f326(f326(f36(a1),x59002),x59001),f2(a1))+P106(f326(f326(f234(a1),f2(a1)),x59002))+P106(f326(f326(f235(a1),x59001),x59002))
% 178.51/178.26 [5935]~P93(x59352)+E(x59351,f2(x59352))+~E(f326(f326(f79(x59352),x59351),x59351),f2(x59352))+~P106(f326(f326(f328(x59352),x59351),f109(x59352)))
% 178.51/178.26 [6006]E(f326(f103(a914),x60061),f326(f103(a914),x60062))+~E(f326(f103(a1),x60062),f2(a1))+P106(f326(a193,f326(f103(a1),x60062)))+~P106(f326(a193,f326(f103(a1),x60061)))
% 178.51/178.26 [6035]~E(f326(f103(a914),x60352),f326(f103(a914),x60351))+E(f326(f103(a1),x60351),f2(a1))+P106(f326(a193,f326(f103(a1),x60351)))+~P106(f326(a193,f326(f103(a1),x60352)))
% 178.51/178.26 [6045]~P109(x60452)+E(x60451,f188(f922(x60452,a910)))+~P106(f326(f61(x60452),x60451))+P106(f326(f326(f328(x60452),f16(x60452,x60451)),x60451))
% 178.51/178.26 [6046]~P109(x60462)+E(x60461,f188(f922(x60462,a910)))+~P106(f326(f61(x60462),x60461))+P106(f326(f326(f328(x60462),f17(x60462,x60461)),x60461))
% 178.51/178.26 [6209]~P119(x62091)+~P95(x62091)+P106(f326(f326(f234(x62091),f2(x62091)),f326(f103(x62091),x62092)))+~P106(f326(f326(f234(a1),a82),x62092))
% 178.51/178.26 [6210]~P119(x62101)+~P95(x62101)+P106(f326(f326(f235(x62101),f2(x62101)),f326(f103(x62101),x62102)))+~P106(f326(f326(f235(a1),a82),x62102))
% 178.51/178.26 [6231]~P119(x62311)+~P95(x62311)+E(f326(f75(x62311),f326(f103(x62311),x62312)),f326(f103(x62311),x62312))+P106(f326(f326(f235(x62311),f326(f103(x62311),x62312)),f2(x62311)))
% 178.51/178.26 [6268]E(x62681,x62682)+~E(f326(a104,x62681),f326(a104,x62682))+~P106(f326(f326(f234(a1),f2(a1)),x62682))+~P106(f326(f326(f234(a1),f2(a1)),x62681))
% 178.51/178.26 [6467]~P95(x64672)+~P119(x64672)+~P106(f326(f326(f234(x64672),f2(x64672)),f326(f103(x64672),x64671)))+P106(f326(f326(f234(a1),a82),x64671))
% 178.51/178.26 [6468]~P95(x64682)+~P119(x64682)+~P106(f326(f326(f235(x64682),f2(x64682)),f326(f103(x64682),x64681)))+P106(f326(f326(f235(a1),a82),x64681))
% 178.51/178.26 [6473]~P119(x64731)+~P95(x64731)+P106(f326(f326(f234(x64731),f326(f103(x64731),x64732)),f2(x64731)))+~P106(f326(f326(f234(a1),x64732),a82))
% 178.51/178.26 [6474]~P119(x64741)+~P95(x64741)+P106(f326(f326(f235(x64741),f326(f103(x64741),x64742)),f2(x64741)))+~P106(f326(f326(f235(a1),x64742),a82))
% 178.51/178.26 [6792]~P95(x67922)+~P119(x67922)+~P106(f326(f326(f234(x67922),f326(f103(x67922),x67921)),f2(x67922)))+P106(f326(f326(f234(a1),x67921),a82))
% 178.51/178.26 [6793]~P95(x67932)+~P119(x67932)+~P106(f326(f326(f235(x67932),f326(f103(x67932),x67931)),f2(x67932)))+P106(f326(f326(f235(a1),x67931),a82))
% 178.51/178.26 [6884]~P119(x68841)+~P95(x68841)+E(f326(f75(x68841),f326(f103(x68841),x68842)),f326(f78(x68841),f326(f103(x68841),x68842)))+~P106(f326(f326(f235(x68841),f326(f103(x68841),x68842)),f2(x68841)))
% 178.51/178.26 [6903]E(f326(f103(a914),x69031),f326(f103(a914),x69032))+~E(f326(f103(a1),x69032),f2(a1))+~P106(f326(f326(f234(a1),f326(f103(a1),x69031)),f2(a1)))+~P106(f326(a193,f326(f103(a1),x69031)))
% 178.51/178.26 [7776]~P109(x77762)+E(x77761,f188(f922(x77762,a910)))+~P106(f326(f61(x77762),x77761))+P106(f326(f326(f234(x77762),f14(x77762,f232(x77762),x77761)),f15(x77762,f233(x77762),x77761)))
% 178.51/178.26 [8088]~P5(x80881)+~P40(x80882)+P106(f326(f326(f328(a1),x80881),x80882))+~P106(f326(f326(f328(a914),f326(a104,x80881)),f326(f309(a1,a914,a104),x80882)))
% 178.51/178.26 [6041]~P141(x60412)+E(x60411,f2(a1))+E(f326(f78(x60412),f326(f102(x60412),f326(f78(a1),x60411))),f326(f102(x60412),x60411))+~P106(f326(f326(f235(a1),x60411),f2(a1)))
% 178.51/178.26 [6115]~P93(x61151)+~P95(x61151)+~P27(x61151,f326(f103(x61151),x61152))+P27(x61151,f326(f103(x61151),f326(f326(f79(a1),x61152),x61152)))
% 178.51/178.26 [6456]~P76(x64562)+E(x64561,f188(f922(x64562,a910)))+E(f17(x64562,f326(f309(x64562,x64562,f78(x64562)),x64561)),f326(f78(x64562),f16(x64562,x64561)))+~P106(f326(f61(x64562),x64561))
% 178.51/178.26 [6457]~P76(x64572)+E(x64571,f188(f922(x64572,a910)))+E(f16(x64572,f326(f309(x64572,x64572,f78(x64572)),x64571)),f326(f78(x64572),f17(x64572,x64571)))+~P106(f326(f61(x64572),x64571))
% 178.51/178.26 [6490]~P93(x64901)+~P95(x64901)+P27(x64901,f326(f103(x64901),x64902))+~P27(x64901,f326(f103(x64901),f326(f326(f79(a1),x64902),x64902)))
% 178.51/178.26 [6583]E(x65831,f2(a1))+E(f326(a51,f50(f326(f78(a1),x65831),f326(f78(a1),x65832))),f46(x65831,x65832))+P106(f326(f326(f234(a1),f2(a1)),x65832))+~P106(f326(f326(f234(a1),f2(a1)),x65831))
% 178.51/178.26 [8860]~P40(x88602)+~P40(x88601)+P106(f326(f326(f235(f922(a914,a910)),f326(f309(a1,a914,a104),x88601)),f326(f309(a1,a914,a104),x88602)))+~P106(f326(f326(f235(f922(a1,a910)),x88601),x88602))
% 178.51/178.26 [9091]~E(f729(x90912,x90911),f730(x90912,x90911))+~P106(f326(f137(x90911),f731(x90912,x90911)))+~P106(f326(f137(f915(x90911)),x90912))+P106(f326(f137(x90911),f326(f142(f915(x90911),f915(x90911),f134(x90911),f113(x90911)),x90912)))
% 178.51/178.26 [9177]~P40(x91772)+~P40(x91771)+~P106(f326(f326(f234(f922(a914,a910)),f326(f309(a1,a914,a104),x91771)),f326(f309(a1,a914,a104),x91772)))+P106(f326(f326(f234(f922(a1,a910)),x91771),x91772))
% 178.51/178.26 [9178]~P40(x91782)+~P40(x91781)+~P106(f326(f326(f235(f922(a914,a910)),f326(f309(a1,a914,a104),x91781)),f326(f309(a1,a914,a104),x91782)))+P106(f326(f326(f235(f922(a1,a910)),x91781),x91782))
% 178.51/178.26 [9184]~E(f729(x91842,x91841),f730(x91842,x91841))+~P106(f326(f137(f915(x91841)),x91842))+P106(f326(f137(x91841),f326(f142(f915(x91841),f915(x91841),f134(x91841),f113(x91841)),x91842)))+P106(f326(f326(f328(f915(x91841)),f731(x91842,x91841)),f326(f172(f915(x91841)),x91842)))
% 178.51/178.26 [9225]~P106(f326(f137(x92251),f731(x92252,x92251)))+~P106(f326(f137(f915(x92251)),x92252))+P106(f326(f137(x92251),f326(f142(f915(x92251),f915(x92251),f134(x92251),f113(x92251)),x92252)))+P106(f326(f326(f328(f915(x92251)),f730(x92252,x92251)),f326(f172(f915(x92251)),x92252)))
% 178.51/178.26 [9226]~P106(f326(f137(x92261),f731(x92262,x92261)))+~P106(f326(f137(f915(x92261)),x92262))+P106(f326(f137(x92261),f326(f142(f915(x92261),f915(x92261),f134(x92261),f113(x92261)),x92262)))+P106(f326(f326(f328(f915(x92261)),f729(x92262,x92261)),f326(f172(f915(x92261)),x92262)))
% 178.51/178.26 [9303]~P106(f326(f137(f915(x93031)),x93032))+P106(f326(f137(x93031),f326(f142(f915(x93031),f915(x93031),f134(x93031),f113(x93031)),x93032)))+P106(f326(f326(f328(f915(x93031)),f730(x93032,x93031)),f326(f172(f915(x93031)),x93032)))+P106(f326(f326(f328(f915(x93031)),f731(x93032,x93031)),f326(f172(f915(x93031)),x93032)))
% 178.51/178.26 [9304]~P106(f326(f137(f915(x93041)),x93042))+P106(f326(f137(x93041),f326(f142(f915(x93041),f915(x93041),f134(x93041),f113(x93041)),x93042)))+P106(f326(f326(f328(f915(x93041)),f729(x93042,x93041)),f326(f172(f915(x93041)),x93042)))+P106(f326(f326(f328(f915(x93041)),f731(x93042,x93041)),f326(f172(f915(x93041)),x93042)))
% 178.51/178.26 [9318]~E(f326(f326(f101(f922(x93181,a910)),f326(f172(x93181),f730(x93182,x93181))),f326(f172(x93181),f729(x93182,x93181))),f188(f922(x93181,a910)))+~P106(f326(f137(x93181),f731(x93182,x93181)))+~P106(f326(f137(f915(x93181)),x93182))+P106(f326(f137(x93181),f326(f142(f915(x93181),f915(x93181),f134(x93181),f113(x93181)),x93182)))
% 178.51/178.26 [9379]~E(f326(f326(f101(f922(x93791,a910)),f326(f172(x93791),f730(x93792,x93791))),f326(f172(x93791),f729(x93792,x93791))),f188(f922(x93791,a910)))+~P106(f326(f137(f915(x93791)),x93792))+P106(f326(f137(x93791),f326(f142(f915(x93791),f915(x93791),f134(x93791),f113(x93791)),x93792)))+P106(f326(f326(f328(f915(x93791)),f731(x93792,x93791)),f326(f172(f915(x93791)),x93792)))
% 178.51/178.26 [9664]E(x96641,f2(a1))+E(x96642,f2(a1))+E(f326(f326(f85(a1,f921(a1,a1)),f326(f326(a217,x96642),x96641)),f326(f326(f20(a1,a1,f921(a1,a1)),f326(f326(f10(a1,f922(a1,f921(a1,a1)),a1),f251(a1,a1)),f326(f36(a1),x96642))),f326(f36(a1),x96641))),f215(x96642,x96641))+P106(f326(f326(f235(a1),x96641),f2(a1)))
% 178.51/178.26 [8408]~P95(x84082)+~P119(x84082)+~P106(f326(f326(f234(x84082),f326(f103(x84082),x84081)),f77(x84082)))+P106(f326(f326(f234(a1),x84081),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))
% 178.51/178.26 [8409]~P95(x84092)+~P119(x84092)+~P106(f326(f326(f235(x84092),f326(f103(x84092),x84091)),f77(x84092)))+P106(f326(f326(f235(a1),x84091),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))
% 178.51/178.26 [8677]~P119(x86771)+~P95(x86771)+P106(f326(f326(f234(x86771),f326(f103(x86771),x86772)),f77(x86771)))+~P106(f326(f326(f234(a1),x86772),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))
% 178.51/178.26 [8678]~P119(x86781)+~P95(x86781)+P106(f326(f326(f235(x86781),f326(f103(x86781),x86782)),f77(x86781)))+~P106(f326(f326(f235(a1),x86782),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))
% 178.51/178.26 [8888]~P95(x88882)+~P119(x88882)+~P106(f326(f326(f234(x88882),f77(x88882)),f326(f103(x88882),x88881)))+P106(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),x88881))
% 178.51/178.26 [8889]~P95(x88892)+~P119(x88892)+~P106(f326(f326(f235(x88892),f77(x88892)),f326(f103(x88892),x88891)))+P106(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),x88891))
% 178.51/178.26 [9263]~P119(x92631)+~P95(x92631)+P106(f326(f326(f234(x92631),f77(x92631)),f326(f103(x92631),x92632)))+~P106(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),x92632))
% 178.51/178.26 [9264]~P119(x92641)+~P95(x92641)+P106(f326(f326(f235(x92641),f77(x92641)),f326(f103(x92641),x92642)))+~P106(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),x92642))
% 178.51/178.26 [9794]~P142(x97942)+E(x97941,f77(x97942))+E(x97941,f326(f78(x97942),f77(x97942)))+~E(f326(f326(f243(x97942),x97941),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f77(x97942))
% 178.51/178.26 [10062]~P65(x100621)+~P95(x100621)+~P106(f326(f326(f235(x100621),f2(x100621)),x100622))+P106(f326(f326(f235(x100621),f2(x100621)),f326(f326(f289(x100621),x100622),f326(f103(x100621),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 178.51/178.26 [10116]~P65(x101161)+~P95(x101161)+P106(f326(f326(f235(x101161),f2(x101161)),x101162))+~P106(f326(f326(f235(x101161),f2(x101161)),f326(f326(f289(x101161),x101162),f326(f103(x101161),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 178.51/178.26 [10404]~P141(x104042)+E(x104041,f2(a1))+P106(f326(f326(f235(a1),x104041),f2(a1)))+E(f326(f326(f256(a1,a1,x104042),f326(f326(f9(a1,f922(a1,f922(x104042,x104042)),f922(a1,x104042)),f326(f326(f10(f922(f922(x104042,x104042),x104042),f922(f922(a1,f922(x104042,x104042)),f922(a1,x104042)),a1),f10(f922(x104042,x104042),x104042,a1)),f326(f326(f10(x104042,f922(f922(x104042,x104042),x104042),a1),f85(x104042,x104042)),f102(x104042)))),f326(f326(f9(a1,f922(x104042,x104042),f922(x104042,x104042)),f326(f326(f10(f922(x104042,f922(x104042,x104042)),f922(f922(x104042,x104042),f922(x104042,x104042)),a1),f20(x104042,x104042,x104042)),f326(f326(f9(a1,f922(x104042,x104042),f922(x104042,f922(x104042,x104042))),f326(f326(f10(f922(x104042,f922(x104042,x104042)),f922(f922(x104042,x104042),f922(x104042,f922(x104042,x104042))),a1),f10(x104042,f922(x104042,x104042),x104042)),f326(f326(f10(a910,f922(x104042,f922(x104042,x104042)),a1),f96(x104042)),f326(f326(f9(a1,a1,a910),a323),f2(a1))))),f326(f326(f20(x104042,x104042,x104042),f79(x104042)),f7(x104042))))),f326(f326(f9(x104042,x104042,x104042),f326(f326(f10(x104042,f922(x104042,x104042),x104042),f79(x104042)),f326(f326(f20(x104042,x104042,x104042),f79(x104042)),f7(x104042)))),f77(x104042))))),f46(x104041,f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f102(x104042),x104041))
% 178.51/178.26 [5507]~P38(x55071,x55073)+~P51(x55071,x55073)+~P52(x55071,x55072,x55073)+P7(x55071,x55072,x55073)
% 178.51/178.26 [5038]~P93(x50383)+~P95(x50383)+E(x50381,x50382)+~E(f326(f103(x50383),x50381),f326(f103(x50383),x50382))
% 178.51/178.26 [5517]~P49(x55171,x55172)+~P50(x55171,x55172)+P14(x55171,x55172)+~P106(f326(f326(x55172,x55173),x55173))
% 178.51/178.26 [6021]P14(x60212,x60211)+E(f326(x60211,f804(x60211)),f326(x60211,f805(x60211)))+P106(f326(f326(x60211,f804(x60211)),f805(x60211)))+~P106(f326(f326(x60211,x60213),x60213))
% 178.51/178.26 [6219]~P106(f326(x62191,x62192))+~P106(f326(x62191,x62193))+~P106(f326(f326(f234(a914),x62193),f890(x62192,x62191)))+P106(f326(x62191,f2(a914)))
% 178.51/178.26 [6288]P14(x62881,x62882)+P106(f326(f326(x62882,f804(x62882)),f804(x62882)))+P106(f326(f326(x62882,f804(x62882)),f805(x62882)))+~P106(f326(f326(x62882,x62883),x62883))
% 178.51/178.26 [6289]P14(x62891,x62892)+P106(f326(f326(x62892,f804(x62892)),f805(x62892)))+P106(f326(f326(x62892,f805(x62892)),f805(x62892)))+~P106(f326(f326(x62892,x62893),x62893))
% 178.51/178.26 [6647]P147(x66472,x66471,x66473)+E(x66471,f2(a1))+P106(f326(f326(f234(a1),f2(a1)),f856(x66473,x66471,x66472)))+P106(f326(f326(f235(a1),x66471),f2(a1)))
% 178.51/178.26 [6648]P146(x66482,x66481,x66483)+E(x66481,f2(a1))+P106(f326(f326(f234(a1),f2(a1)),f861(x66483,x66481,x66482)))+P106(f326(f326(f235(a1),x66481),f2(a1)))
% 178.51/178.26 [6772]P146(x67721,x67722,x67723)+~P106(f326(x67721,x67723))+P106(f326(f326(f234(a1),f2(a1)),f861(x67723,x67722,x67721)))+P106(f326(f326(f235(a1),x67722),f2(a1)))
% 178.51/178.26 [6798]P147(x67981,x67982,x67983)+P106(f326(f326(f234(a1),f2(a1)),f856(x67983,x67982,x67981)))+~P106(f326(x67981,f2(a1)))+P106(f326(f326(f235(a1),x67982),f2(a1)))
% 178.51/178.26 [6828]P147(x68282,x68281,x68283)+E(x68281,f2(a1))+~P106(f326(x68282,f857(x68283,x68281,x68282)))+P106(f326(f326(f235(a1),x68281),f2(a1)))
% 178.51/178.26 [6829]P146(x68292,x68291,x68293)+E(x68291,f2(a1))+~P106(f326(x68292,f861(x68293,x68291,x68292)))+P106(f326(f326(f235(a1),x68291),f2(a1)))
% 178.51/178.26 [6929]~P109(x69291)+~P4(x69291)+~P106(f326(f326(f235(x69291),x69292),f37(x69291,x69293)))+P106(f326(f326(f235(x69291),x69292),f766(x69293,x69292,x69291)))
% 178.51/178.26 [6938]P146(x69381,x69382,x69383)+~P106(f326(x69381,x69383))+~P106(f326(x69381,f861(x69383,x69382,x69381)))+P106(f326(f326(f235(a1),x69382),f2(a1)))
% 178.51/178.26 [6970]P147(x69701,x69702,x69703)+~P106(f326(x69701,f857(x69703,x69702,x69701)))+~P106(f326(x69701,f2(a1)))+P106(f326(f326(f235(a1),x69702),f2(a1)))
% 178.51/178.26 [7218]P147(x72182,x72181,x72183)+E(x72181,f2(a1))+P106(f326(f326(f234(a1),f2(a1)),f856(x72183,x72181,x72182)))+P106(f326(f326(f235(a1),x72181),f855(x72183,x72181,x72182)))
% 178.51/178.26 [7219]P146(x72192,x72191,x72193)+E(x72191,f2(a1))+P106(f326(f326(f234(a1),f2(a1)),f861(x72193,x72191,x72192)))+P106(f326(f326(f235(a1),x72191),f860(x72193,x72191,x72192)))
% 178.51/178.26 [7338]P146(x73381,x73382,x73383)+~P106(f326(x73381,x73383))+P106(f326(f326(f234(a1),f2(a1)),f861(x73383,x73382,x73381)))+P106(f326(f326(f235(a1),x73382),f860(x73383,x73382,x73381)))
% 178.51/178.26 [7357]P147(x73571,x73572,x73573)+P106(f326(f326(f234(a1),f2(a1)),f856(x73573,x73572,x73571)))+P106(f326(f326(f235(a1),x73572),f855(x73573,x73572,x73571)))+~P106(f326(x73571,f2(a1)))
% 178.51/178.26 [7390]P147(x73902,x73901,x73903)+E(x73901,f2(a1))+~P106(f326(x73902,f857(x73903,x73901,x73902)))+P106(f326(f326(f235(a1),x73901),f855(x73903,x73901,x73902)))
% 178.51/178.26 [7391]P146(x73912,x73911,x73913)+E(x73911,f2(a1))+~P106(f326(x73912,f861(x73913,x73911,x73912)))+P106(f326(f326(f235(a1),x73911),f860(x73913,x73911,x73912)))
% 178.51/178.26 [7435]P147(x74352,x74351,x74353)+E(x74351,f2(a1))+P106(f326(f326(f234(a1),f2(a1)),f856(x74353,x74351,x74352)))+~P106(f326(x74352,f859(x74353,x74351,x74352)))
% 178.51/178.26 [7436]P146(x74362,x74361,x74363)+E(x74361,f2(a1))+P106(f326(f326(f234(a1),f2(a1)),f861(x74363,x74361,x74362)))+~P106(f326(x74362,f860(x74363,x74361,x74362)))
% 178.51/178.26 [7530]P146(x75301,x75302,x75303)+~P106(f326(x75301,x75303))+~P106(f326(x75301,f861(x75303,x75302,x75301)))+P106(f326(f326(f235(a1),x75302),f860(x75303,x75302,x75301)))
% 178.51/178.26 [7545]P147(x75451,x75452,x75453)+~P106(f326(x75451,f857(x75453,x75452,x75451)))+P106(f326(f326(f235(a1),x75452),f855(x75453,x75452,x75451)))+~P106(f326(x75451,f2(a1)))
% 178.51/178.26 [7548]P146(x75481,x75482,x75483)+~P106(f326(x75481,x75483))+P106(f326(f326(f234(a1),f2(a1)),f861(x75483,x75482,x75481)))+~P106(f326(x75481,f860(x75483,x75482,x75481)))
% 178.51/178.26 [7564]P147(x75641,x75642,x75643)+P106(f326(f326(f234(a1),f2(a1)),f856(x75643,x75642,x75641)))+~P106(f326(x75641,f859(x75643,x75642,x75641)))+~P106(f326(x75641,f2(a1)))
% 178.51/178.26 [7587]P147(x75872,x75871,x75873)+E(x75871,f2(a1))+~P106(f326(x75872,f857(x75873,x75871,x75872)))+~P106(f326(x75872,f859(x75873,x75871,x75872)))
% 178.51/178.26 [7588]P146(x75882,x75881,x75883)+E(x75881,f2(a1))+~P106(f326(x75882,f861(x75883,x75881,x75882)))+~P106(f326(x75882,f860(x75883,x75881,x75882)))
% 178.51/178.26 [7674]P146(x76741,x76742,x76743)+~P106(f326(x76741,x76743))+~P106(f326(x76741,f861(x76743,x76742,x76741)))+~P106(f326(x76741,f860(x76743,x76742,x76741)))
% 178.51/178.26 [7692]P147(x76921,x76922,x76923)+~P106(f326(x76921,f857(x76923,x76922,x76921)))+~P106(f326(x76921,f859(x76923,x76922,x76921)))+~P106(f326(x76921,f2(a1)))
% 178.51/178.26 [7735]P147(x77352,x77351,x77353)+E(x77351,f2(a1))+P106(f326(f326(f234(a1),f2(a1)),f856(x77353,x77351,x77352)))+P106(f326(f326(f234(a1),f855(x77353,x77351,x77352)),f2(a1)))
% 178.51/178.26 [7736]P146(x77362,x77361,x77363)+E(x77361,f2(a1))+P106(f326(f326(f234(a1),f2(a1)),f861(x77363,x77361,x77362)))+P106(f326(f326(f234(a1),f860(x77363,x77361,x77362)),f2(a1)))
% 178.51/178.26 [7737]~P89(x77371)+~P106(f326(f326(f234(x77371),x77373),f2(x77371)))+~P106(f326(f326(f234(x77371),x77372),f2(x77371)))+P106(f326(f326(f234(x77371),f326(f326(f79(x77371),x77372),x77373)),f2(x77371)))
% 178.51/178.26 [7738]~P141(x77381)+~P106(f326(f326(f328(x77381),x77383),f109(x77381)))+~P106(f326(f326(f328(x77381),x77382),f109(x77381)))+P106(f326(f326(f328(x77381),f326(f326(f3(x77381),x77382),x77383)),f109(x77381)))
% 178.51/178.26 [7739]~P141(x77391)+~P106(f326(f326(f328(x77391),x77393),f109(x77391)))+~P106(f326(f326(f328(x77391),x77392),f109(x77391)))+P106(f326(f326(f328(x77391),f326(f326(f80(x77391),x77392),x77393)),f109(x77391)))
% 178.51/178.26 [7740]~P144(x77401)+~P106(f326(f326(f328(x77401),x77403),f186(x77401)))+~P106(f326(f326(f328(x77401),x77402),f186(x77401)))+P106(f326(f326(f328(x77401),f326(f326(f80(x77401),x77402),x77403)),f186(x77401)))
% 178.51/178.26 [7741]~P141(x77411)+~P106(f326(f326(f328(x77411),x77413),f109(x77411)))+~P106(f326(f326(f328(x77411),x77412),f109(x77411)))+P106(f326(f326(f328(x77411),f326(f326(f79(x77411),x77412),x77413)),f109(x77411)))
% 178.51/178.26 [7742]~P144(x77421)+~P106(f326(f326(f328(x77421),x77423),f186(x77421)))+~P106(f326(f326(f328(x77421),x77422),f186(x77421)))+P106(f326(f326(f328(x77421),f326(f326(f79(x77421),x77422),x77423)),f186(x77421)))
% 178.51/178.26 [7743]~P89(x77431)+~P106(f326(f326(f234(x77431),x77433),f2(x77431)))+~P106(f326(f326(f235(x77431),x77432),f2(x77431)))+P106(f326(f326(f235(x77431),f326(f326(f79(x77431),x77432),x77433)),f2(x77431)))
% 178.51/178.26 [7744]~P89(x77441)+~P106(f326(f326(f234(x77441),x77442),f2(x77441)))+~P106(f326(f326(f235(x77441),x77443),f2(x77441)))+P106(f326(f326(f235(x77441),f326(f326(f79(x77441),x77442),x77443)),f2(x77441)))
% 178.51/178.26 [7745]~P89(x77451)+~P106(f326(f326(f235(x77451),x77453),f2(x77451)))+~P106(f326(f326(f235(x77451),x77452),f2(x77451)))+P106(f326(f326(f235(x77451),f326(f326(f79(x77451),x77452),x77453)),f2(x77451)))
% 178.51/178.26 [7772]P147(x77723,x77721,x77722)+E(x77721,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x77721),f857(x77722,x77721,x77723))),f856(x77722,x77721,x77723)),x77722)+P106(f326(f326(f235(a1),x77721),f2(a1)))
% 178.51/178.26 [7773]P146(x77733,x77731,x77732)+E(x77731,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x77731),f862(x77732,x77731,x77733))),f861(x77732,x77731,x77733)),x77732)+P106(f326(f326(f235(a1),x77731),f2(a1)))
% 178.51/178.26 [7854]P146(x78541,x78542,x78543)+~P106(f326(x78541,x78543))+P106(f326(f326(f234(a1),f2(a1)),f861(x78543,x78542,x78541)))+P106(f326(f326(f234(a1),f860(x78543,x78542,x78541)),f2(a1)))
% 178.51/178.26 [7883]P147(x78831,x78832,x78833)+P106(f326(f326(f234(a1),f2(a1)),f856(x78833,x78832,x78831)))+~P106(f326(x78831,f2(a1)))+P106(f326(f326(f234(a1),f855(x78833,x78832,x78831)),f2(a1)))
% 178.51/178.26 [7892]P146(x78923,x78921,x78922)+~P106(f326(x78923,x78922))+E(f326(f326(f79(a1),f326(f326(f80(a1),x78921),f862(x78922,x78921,x78923))),f861(x78922,x78921,x78923)),x78922)+P106(f326(f326(f235(a1),x78921),f2(a1)))
% 178.51/178.26 [7898]P147(x78982,x78981,x78983)+E(x78981,f2(a1))+~P106(f326(x78982,f857(x78983,x78981,x78982)))+P106(f326(f326(f234(a1),f855(x78983,x78981,x78982)),f2(a1)))
% 178.51/178.26 [7899]P146(x78992,x78991,x78993)+E(x78991,f2(a1))+~P106(f326(x78992,f861(x78993,x78991,x78992)))+P106(f326(f326(f234(a1),f860(x78993,x78991,x78992)),f2(a1)))
% 178.51/178.26 [7904]P147(x79043,x79041,x79042)+E(f326(f326(f79(a1),f326(f326(f80(a1),x79041),f857(x79042,x79041,x79043))),f856(x79042,x79041,x79043)),x79042)+~P106(f326(x79043,f2(a1)))+P106(f326(f326(f235(a1),x79041),f2(a1)))
% 178.51/178.26 [7960]P146(x79601,x79602,x79603)+~P106(f326(x79601,x79603))+~P106(f326(x79601,f861(x79603,x79602,x79601)))+P106(f326(f326(f234(a1),f860(x79603,x79602,x79601)),f2(a1)))
% 178.51/178.26 [7964]P147(x79641,x79642,x79643)+~P106(f326(x79641,f857(x79643,x79642,x79641)))+~P106(f326(x79641,f2(a1)))+P106(f326(f326(f234(a1),f855(x79643,x79642,x79641)),f2(a1)))
% 178.51/178.26 [8030]~P126(x80301)+~P106(f326(f326(f234(x80301),f326(f326(f80(x80301),x80303),x80302)),f2(x80301)))+P106(f326(f326(f234(x80301),x80302),f2(x80301)))+P106(f326(f326(f234(x80301),x80303),f2(x80301)))
% 178.51/178.26 [8031]~P65(x80311)+~P106(f326(f326(f234(x80311),f326(f326(f289(x80311),x80313),x80312)),f2(x80311)))+P106(f326(f326(f234(x80311),x80312),f2(x80311)))+P106(f326(f326(f234(x80311),x80313),f2(x80311)))
% 178.51/178.26 [8032]~P65(x80321)+~P106(f326(f326(f235(x80321),f326(f326(f289(x80321),x80323),x80322)),f2(x80321)))+P106(f326(f326(f235(x80321),x80322),f2(x80321)))+P106(f326(f326(f235(x80321),x80323),f2(x80321)))
% 178.51/178.26 [8144]P147(x81443,x81441,x81442)+E(x81441,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x81441),f857(x81442,x81441,x81443))),f856(x81442,x81441,x81443)),x81442)+P106(f326(f326(f235(a1),x81441),f855(x81442,x81441,x81443)))
% 178.51/178.26 [8145]P146(x81453,x81451,x81452)+E(x81451,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x81451),f862(x81452,x81451,x81453))),f861(x81452,x81451,x81453)),x81452)+P106(f326(f326(f235(a1),x81451),f860(x81452,x81451,x81453)))
% 178.51/178.26 [8157]P147(x81573,x81571,x81572)+E(x81571,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x81571),f859(x81572,x81571,x81573))),f855(x81572,x81571,x81573)),x81572)+P106(f326(f326(f234(a1),f2(a1)),f856(x81572,x81571,x81573)))
% 178.51/178.26 [8158]P146(x81583,x81581,x81582)+E(x81581,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x81581),f863(x81582,x81581,x81583))),f860(x81582,x81581,x81583)),x81582)+P106(f326(f326(f234(a1),f2(a1)),f861(x81582,x81581,x81583)))
% 178.51/178.26 [8200]P146(x82003,x82001,x82002)+~P106(f326(x82003,x82002))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82001),f862(x82002,x82001,x82003))),f861(x82002,x82001,x82003)),x82002)+P106(f326(f326(f235(a1),x82001),f860(x82002,x82001,x82003)))
% 178.51/178.26 [8209]P147(x82093,x82091,x82092)+E(f326(f326(f79(a1),f326(f326(f80(a1),x82091),f857(x82092,x82091,x82093))),f856(x82092,x82091,x82093)),x82092)+P106(f326(f326(f235(a1),x82091),f855(x82092,x82091,x82093)))+~P106(f326(x82093,f2(a1)))
% 178.51/178.26 [8215]P146(x82153,x82151,x82152)+~P106(f326(x82153,x82152))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82151),f863(x82152,x82151,x82153))),f860(x82152,x82151,x82153)),x82152)+P106(f326(f326(f234(a1),f2(a1)),f861(x82152,x82151,x82153)))
% 178.51/178.26 [8221]P147(x82213,x82211,x82212)+E(f326(f326(f79(a1),f326(f326(f80(a1),x82211),f859(x82212,x82211,x82213))),f855(x82212,x82211,x82213)),x82212)+P106(f326(f326(f234(a1),f2(a1)),f856(x82212,x82211,x82213)))+~P106(f326(x82213,f2(a1)))
% 178.51/178.26 [8232]P147(x82323,x82321,x82322)+E(x82321,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82321),f857(x82322,x82321,x82323))),f856(x82322,x82321,x82323)),x82322)+~P106(f326(x82323,f859(x82322,x82321,x82323)))
% 178.51/178.26 [8233]P146(x82333,x82331,x82332)+E(x82331,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82331),f862(x82332,x82331,x82333))),f861(x82332,x82331,x82333)),x82332)+~P106(f326(x82333,f860(x82332,x82331,x82333)))
% 178.51/178.26 [8234]P147(x82343,x82341,x82342)+E(x82341,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82341),f859(x82342,x82341,x82343))),f855(x82342,x82341,x82343)),x82342)+~P106(f326(x82343,f857(x82342,x82341,x82343)))
% 178.51/178.26 [8235]P146(x82353,x82351,x82352)+E(x82351,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82351),f863(x82352,x82351,x82353))),f860(x82352,x82351,x82353)),x82352)+~P106(f326(x82353,f861(x82352,x82351,x82353)))
% 178.51/178.26 [8293]P146(x82933,x82931,x82932)+~P106(f326(x82933,x82932))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82931),f862(x82932,x82931,x82933))),f861(x82932,x82931,x82933)),x82932)+~P106(f326(x82933,f860(x82932,x82931,x82933)))
% 178.51/178.26 [8294]P146(x82943,x82941,x82942)+~P106(f326(x82943,x82942))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82941),f863(x82942,x82941,x82943))),f860(x82942,x82941,x82943)),x82942)+~P106(f326(x82943,f861(x82942,x82941,x82943)))
% 178.51/178.26 [8304]P147(x83043,x83041,x83042)+E(f326(f326(f79(a1),f326(f326(f80(a1),x83041),f857(x83042,x83041,x83043))),f856(x83042,x83041,x83043)),x83042)+~P106(f326(x83043,f859(x83042,x83041,x83043)))+~P106(f326(x83043,f2(a1)))
% 178.51/178.26 [8305]P147(x83053,x83051,x83052)+E(f326(f326(f79(a1),f326(f326(f80(a1),x83051),f859(x83052,x83051,x83053))),f855(x83052,x83051,x83053)),x83052)+~P106(f326(x83053,f857(x83052,x83051,x83053)))+~P106(f326(x83053,f2(a1)))
% 178.51/178.26 [8401]P147(x84013,x84011,x84012)+E(x84011,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x84011),f857(x84012,x84011,x84013))),f856(x84012,x84011,x84013)),x84012)+P106(f326(f326(f234(a1),f855(x84012,x84011,x84013)),f2(a1)))
% 178.51/178.26 [8402]P146(x84023,x84021,x84022)+E(x84021,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x84021),f862(x84022,x84021,x84023))),f861(x84022,x84021,x84023)),x84022)+P106(f326(f326(f234(a1),f860(x84022,x84021,x84023)),f2(a1)))
% 178.51/178.26 [8441]P146(x84413,x84411,x84412)+~P106(f326(x84413,x84412))+E(f326(f326(f79(a1),f326(f326(f80(a1),x84411),f862(x84412,x84411,x84413))),f861(x84412,x84411,x84413)),x84412)+P106(f326(f326(f234(a1),f860(x84412,x84411,x84413)),f2(a1)))
% 178.51/178.26 [8446]P147(x84463,x84461,x84462)+E(f326(f326(f79(a1),f326(f326(f80(a1),x84461),f857(x84462,x84461,x84463))),f856(x84462,x84461,x84463)),x84462)+~P106(f326(x84463,f2(a1)))+P106(f326(f326(f234(a1),f855(x84462,x84461,x84463)),f2(a1)))
% 178.51/178.26 [8579]P147(x85793,x85791,x85792)+E(x85791,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x85791),f859(x85792,x85791,x85793))),f855(x85792,x85791,x85793)),x85792)+E(f326(f326(f79(a1),f326(f326(f80(a1),x85791),f857(x85792,x85791,x85793))),f856(x85792,x85791,x85793)),x85792)
% 178.51/178.26 [8580]P146(x85803,x85801,x85802)+E(x85801,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x85801),f863(x85802,x85801,x85803))),f860(x85802,x85801,x85803)),x85802)+E(f326(f326(f79(a1),f326(f326(f80(a1),x85801),f862(x85802,x85801,x85803))),f861(x85802,x85801,x85803)),x85802)
% 178.51/178.26 [8600]P146(x86003,x86001,x86002)+~P106(f326(x86003,x86002))+E(f326(f326(f79(a1),f326(f326(f80(a1),x86001),f863(x86002,x86001,x86003))),f860(x86002,x86001,x86003)),x86002)+E(f326(f326(f79(a1),f326(f326(f80(a1),x86001),f862(x86002,x86001,x86003))),f861(x86002,x86001,x86003)),x86002)
% 178.51/178.26 [8611]P147(x86113,x86111,x86112)+E(f326(f326(f79(a1),f326(f326(f80(a1),x86111),f859(x86112,x86111,x86113))),f855(x86112,x86111,x86113)),x86112)+E(f326(f326(f79(a1),f326(f326(f80(a1),x86111),f857(x86112,x86111,x86113))),f856(x86112,x86111,x86113)),x86112)+~P106(f326(x86113,f2(a1)))
% 178.51/178.26 [9271]~P126(x92711)+~E(x92713,f2(x92711))+~E(x92712,f2(x92711))+P106(f326(f326(f234(x92711),f326(f326(f79(x92711),f326(f326(f80(x92711),x92712),x92712)),f326(f326(f80(x92711),x92713),x92713))),f2(x92711)))
% 178.51/178.26 [10340]~P119(x103401)+~E(x103403,f2(x103401))+~E(x103402,f2(x103401))+P106(f326(f326(f234(x103401),f326(f326(f79(x103401),f326(f326(f243(x103401),x103402),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103401),x103403),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f2(x103401)))
% 178.51/178.26 [4986]~E(x49863,x49861)+~P122(x49862)+E(x49861,f2(x49862))+E(f326(f326(f289(x49862),x49863),x49861),f77(x49862))
% 178.51/178.26 [5039]~P79(x50391)+~E(x50393,f188(x50391))+~E(x50392,f188(x50391))+E(f326(f326(f110(x50391),x50392),x50393),f188(x50391))
% 178.51/178.26 [5040]~P100(x50401)+~E(x50403,f241(x50401))+~E(x50402,f241(x50401))+E(f326(f326(f101(x50401),x50402),x50403),f241(x50401))
% 178.51/178.26 [5137]~P122(x51373)+E(x51371,x51372)+E(x51372,f2(x51373))+~E(f326(f326(f289(x51373),x51371),x51372),f77(x51373))
% 178.51/178.26 [5154]~P140(x51542)+E(x51541,f2(x51542))+E(x51543,f2(x51542))+~E(f326(f326(f80(x51542),x51543),x51541),f2(x51542))
% 178.51/178.26 [5156]~P133(x51562)+E(x51561,f2(x51562))+E(x51563,f2(x51562))+~E(f326(f326(f80(x51562),x51563),x51561),f2(x51562))
% 178.51/178.26 [5536]~P121(x55363)+E(x55361,x55362)+E(x55361,f326(f78(x55363),x55362))+~E(f326(f326(f80(x55363),x55361),x55361),f326(f326(f80(x55363),x55362),x55362))
% 178.51/178.26 [5575]~P96(x55751)+E(f326(f78(x55751),x55752),x55753)+~E(f326(f326(f110(x55751),x55752),x55753),f241(x55751))+~E(f326(f326(f101(x55751),x55752),x55753),f188(x55751))
% 178.51/178.26 [5654]~P119(x56543)+E(x56541,x56542)+P106(f326(f326(f235(x56543),x56542),x56541))+P106(f326(f326(f235(x56543),x56541),x56542))
% 178.51/178.26 [5655]~P109(x56553)+E(x56551,x56552)+P106(f326(f326(f235(x56553),x56552),x56551))+P106(f326(f326(f235(x56553),x56551),x56552))
% 178.51/178.26 [5656]~E(x56562,x56563)+~P109(x56561)+P106(f326(f326(f235(x56561),x56562),x56563))+P106(f326(f326(f234(x56561),x56562),x56563))
% 178.51/178.26 [5916]~P110(x59163)+E(x59161,x59162)+~P106(f326(f326(f234(x59163),x59162),x59161))+P106(f326(f326(f235(x59163),x59162),x59161))
% 178.51/178.26 [5918]~P109(x59183)+E(x59181,x59182)+~P106(f326(f326(f234(x59183),x59181),x59182))+P106(f326(f326(f235(x59183),x59181),x59182))
% 178.51/178.26 [5924]~P110(x59243)+E(x59241,x59242)+~P106(f326(f326(f234(x59243),x59241),x59242))+P106(f326(f326(f235(x59243),x59241),x59242))
% 178.51/178.26 [6038]P146(x60381,x60382,x60383)+~P106(f326(x60381,x60383))+P106(f326(f326(f235(a1),x60382),f2(a1)))+P106(f326(f326(f235(a1),f2(a1)),x60382))
% 178.51/178.26 [6088]P147(x60881,x60882,x60883)+~P106(f326(x60881,f2(a1)))+P106(f326(f326(f235(a1),x60882),f2(a1)))+P106(f326(f326(f235(a1),f2(a1)),x60882))
% 178.51/178.26 [6093]~P78(x60931)+E(f326(f326(f110(x60931),x60932),f13(x60931,x60933)),x60932)+~P106(f326(f61(x60931),x60933))+~P106(f326(f326(f328(x60931),x60932),x60933))
% 178.51/178.26 [6094]~P78(x60941)+E(f326(f326(f101(x60941),x60942),f12(x60941,x60943)),x60942)+~P106(f326(f61(x60941),x60943))+~P106(f326(f326(f328(x60941),x60942),x60943))
% 178.51/178.26 [6131]~P78(x61311)+E(f326(f326(f110(x61311),x61312),f12(x61311,x61313)),f12(x61311,x61313))+~P106(f326(f61(x61311),x61313))+~P106(f326(f326(f328(x61311),x61312),x61313))
% 178.51/178.26 [6132]~P78(x61321)+E(f326(f326(f101(x61321),x61322),f13(x61321,x61323)),f13(x61321,x61323))+~P106(f326(f61(x61321),x61323))+~P106(f326(f326(f328(x61321),x61322),x61323))
% 178.51/178.26 [6133]~P109(x61331)+E(f326(f326(f232(x61331),x61332),f16(x61331,x61333)),f16(x61331,x61333))+~P106(f326(f61(x61331),x61333))+~P106(f326(f326(f328(x61331),x61332),x61333))
% 178.51/178.26 [6134]~P109(x61341)+E(f326(f326(f233(x61341),x61342),f17(x61341,x61343)),f17(x61341,x61343))+~P106(f326(f61(x61341),x61343))+~P106(f326(f326(f328(x61341),x61342),x61343))
% 178.51/178.26 [6172]E(x61721,x61722)+~P110(x61723)+~P106(f326(f326(f234(x61723),x61722),x61721))+~P106(f326(f326(f234(x61723),x61721),x61722))
% 178.51/178.26 [6317]~P107(x63171)+P106(f326(f326(f235(x63171),x63173),x63172))+~P106(f326(f326(f234(x63171),x63173),x63172))+P106(f326(f326(f234(x63171),x63172),x63173))
% 178.51/178.26 [6344]~P109(x63441)+~P106(f326(f61(x63441),x63443))+P106(f326(f326(f234(x63441),x63442),f17(x63441,x63443)))+~P106(f326(f326(f328(x63441),x63442),x63443))
% 178.51/178.26 [6391]~P109(x63911)+E(f326(f326(f232(x63911),x63912),f15(x63911,f233(x63911),x63913)),x63912)+~P106(f326(f61(x63911),x63913))+~P106(f326(f326(f328(x63911),x63912),x63913))
% 178.51/178.26 [6392]~P109(x63921)+E(f326(f326(f233(x63921),x63922),f14(x63921,f232(x63921),x63923)),x63922)+~P106(f326(f61(x63921),x63923))+~P106(f326(f326(f328(x63921),x63922),x63923))
% 178.51/178.26 [6535]E(x65351,x65352)+~E(f326(f326(f3(a914),x65351),x65353),f326(f326(f3(a914),x65352),x65353))+~P106(f326(f326(f234(a914),x65353),x65351))+~P106(f326(f326(f234(a914),x65353),x65352))
% 178.51/178.26 [6562]~P109(x65621)+~P106(f326(f61(x65621),x65622))+~P106(f326(f326(f328(x65621),x65623),x65622))+P106(f326(f326(f234(x65621),f16(x65621,x65622)),x65623))
% 178.51/178.26 [6626]P147(x66262,x66261,x66263)+E(x66261,f2(a1))+P106(f326(f326(f235(a1),x66261),f855(x66263,x66261,x66262)))+P106(f326(f326(f235(a1),f2(a1)),x66261))
% 178.51/178.26 [6627]P146(x66272,x66271,x66273)+E(x66271,f2(a1))+P106(f326(f326(f235(a1),x66271),f860(x66273,x66271,x66272)))+P106(f326(f326(f235(a1),f2(a1)),x66271))
% 178.51/178.26 [6628]~P109(x66281)+E(f326(f326(f232(x66281),x66282),f14(x66281,f232(x66281),x66283)),f14(x66281,f232(x66281),x66283))+~P106(f326(f61(x66281),x66283))+~P106(f326(f326(f328(x66281),x66282),x66283))
% 178.51/178.26 [6629]~P109(x66291)+E(f326(f326(f233(x66291),x66292),f15(x66291,f233(x66291),x66293)),f15(x66291,f233(x66291),x66293))+~P106(f326(f61(x66291),x66293))+~P106(f326(f326(f328(x66291),x66292),x66293))
% 178.51/178.26 [6634]~P106(f326(x66341,x66342))+P106(f326(x66341,f382(x66342,x66341,x66343)))+P106(f326(x66341,f2(a914)))+~P106(f326(f326(f235(a914),x66342),x66343))
% 178.51/178.26 [6692]~P106(f326(x66921,x66922))+~P106(f326(f61(x66923),x66922))+P106(f326(x66921,f508(x66921,x66922,x66923)))+P106(f326(x66921,f188(f922(x66923,a910))))
% 178.51/178.26 [6705]~P119(x67051)+~P95(x67051)+P106(f326(f326(f234(x67051),f326(f103(x67051),x67052)),f326(f103(x67051),x67053)))+~P106(f326(f326(f234(a1),x67052),x67053))
% 178.51/178.26 [6706]~P119(x67061)+~P95(x67061)+P106(f326(f326(f235(x67061),f326(f103(x67061),x67062)),f326(f103(x67061),x67063)))+~P106(f326(f326(f235(a1),x67062),x67063))
% 178.51/178.26 [6709]~P106(f326(x67091,x67093))+~P106(f326(f61(x67092),x67093))+P106(f326(f61(x67092),f508(x67091,x67093,x67092)))+P106(f326(x67091,f188(f922(x67092,a910))))
% 178.51/178.26 [6742]P146(x67421,x67422,x67423)+~P106(f326(x67421,x67423))+P106(f326(f326(f235(a1),x67422),f860(x67423,x67422,x67421)))+P106(f326(f326(f235(a1),f2(a1)),x67422))
% 178.51/178.26 [6779]P147(x67791,x67792,x67793)+P106(f326(f326(f235(a1),x67792),f855(x67793,x67792,x67791)))+~P106(f326(x67791,f2(a1)))+P106(f326(f326(f235(a1),f2(a1)),x67792))
% 178.51/178.26 [6809]~P108(x68091)+~P94(x68091)+E(f326(f326(f232(x68091),f326(f103(x68091),x68092)),f326(f103(x68091),x68093)),f326(f103(x68091),x68093))+P106(f326(f326(f234(x68091),f326(f103(x68091),x68092)),f326(f103(x68091),x68093)))
% 178.51/178.26 [6810]~P108(x68101)+~P94(x68101)+E(f326(f326(f233(x68101),f326(f103(x68101),x68102)),f326(f103(x68101),x68103)),f326(f103(x68101),x68102))+P106(f326(f326(f234(x68101),f326(f103(x68101),x68102)),f326(f103(x68101),x68103)))
% 178.51/178.26 [6868]P147(x68682,x68681,x68683)+E(x68681,f2(a1))+~P106(f326(x68682,f859(x68683,x68681,x68682)))+P106(f326(f326(f235(a1),f2(a1)),x68681))
% 178.51/178.26 [6869]P146(x68692,x68691,x68693)+E(x68691,f2(a1))+~P106(f326(x68692,f860(x68693,x68691,x68692)))+P106(f326(f326(f235(a1),f2(a1)),x68691))
% 178.51/178.26 [6873]P106(f326(x68731,x68732))+~P106(f326(f61(x68733),x68732))+P106(f326(x68731,f900(x68731,x68732,x68733)))+~P106(f326(x68731,f188(f922(x68733,a910))))
% 178.51/178.26 [6890]~P94(x68901)+~P60(x68901)+~E(f45(x68901,f326(f103(x68901),x68903),f326(f103(x68901),x68902)),f2(x68901))+P106(f326(f326(f286(x68901),f326(f103(x68901),x68902)),f326(f103(x68901),x68903)))
% 178.51/178.26 [6894]P106(f326(x68941,x68942))+P106(f326(f61(x68943),f900(x68941,x68942,x68943)))+~P106(f326(f61(x68943),x68942))+~P106(f326(x68941,f188(f922(x68943,a910))))
% 178.51/178.26 [6959]P146(x69591,x69592,x69593)+~P106(f326(x69591,x69593))+~P106(f326(x69591,f860(x69593,x69592,x69591)))+P106(f326(f326(f235(a1),f2(a1)),x69592))
% 178.51/178.26 [6989]P147(x69891,x69892,x69893)+~P106(f326(x69891,f859(x69893,x69892,x69891)))+~P106(f326(x69891,f2(a1)))+P106(f326(f326(f235(a1),f2(a1)),x69892))
% 178.51/178.26 [7094]~P95(x70943)+~P119(x70943)+~P106(f326(f326(f234(x70943),f326(f103(x70943),x70941)),f326(f103(x70943),x70942)))+P106(f326(f326(f234(a1),x70941),x70942))
% 178.51/178.26 [7095]~P95(x70953)+~P119(x70953)+~P106(f326(f326(f235(x70953),f326(f103(x70953),x70951)),f326(f103(x70953),x70952)))+P106(f326(f326(f235(a1),x70951),x70952))
% 178.51/178.26 [7122]~P109(x71221)+~P12(x71221,x71223)+P12(x71221,f326(f326(f151(x71221),x71222),x71223))+~P106(f326(f326(f234(x71221),x71222),f710(x71223,x71222,x71221)))
% 178.51/178.26 [7123]~P109(x71231)+~P12(x71231,x71233)+P12(x71231,f326(f326(f151(x71231),x71232),x71233))+~P106(f326(f326(f234(x71231),x71232),f713(x71233,x71232,x71231)))
% 178.51/178.26 [7124]~P109(x71241)+~P12(x71241,x71243)+P12(x71241,f326(f326(f151(x71241),x71242),x71243))+~P106(f326(f326(f234(x71241),x71242),f751(x71242,x71243,x71241)))
% 178.51/178.26 [7196]~P94(x71961)+~P60(x71961)+E(f45(x71961,f326(f103(x71961),x71962),f326(f103(x71961),x71963)),f2(x71961))+~P106(f326(f326(f286(x71961),f326(f103(x71961),x71963)),f326(f103(x71961),x71962)))
% 178.51/178.26 [7210]P147(x72102,x72101,x72103)+E(x72101,f2(a1))+P106(f326(f326(f235(a1),x72101),f2(a1)))+P106(f326(f326(f235(a1),f856(x72103,x72101,x72102)),x72101))
% 178.51/178.26 [7211]P146(x72112,x72111,x72113)+E(x72111,f2(a1))+P106(f326(f326(f235(a1),x72111),f2(a1)))+P106(f326(f326(f235(a1),f861(x72113,x72111,x72112)),x72111))
% 178.51/178.26 [7248]P147(x72482,x72481,x72483)+E(x72481,f2(a1))+P106(f326(f326(f234(a1),f855(x72483,x72481,x72482)),f2(a1)))+P106(f326(f326(f235(a1),f2(a1)),x72481))
% 178.51/178.26 [7249]P146(x72492,x72491,x72493)+E(x72491,f2(a1))+P106(f326(f326(f234(a1),f860(x72493,x72491,x72492)),f2(a1)))+P106(f326(f326(f235(a1),f2(a1)),x72491))
% 178.51/178.26 [7274]~P109(x72741)+~P12(x72741,x72743)+E(f326(f326(f148(x72741,x72741,f7(x72741)),x72742),f170(x72741,x72742,x72743)),x72743)+~P106(f326(f326(f328(x72741),x72742),f326(f172(x72741),x72743)))
% 178.51/178.26 [7321]P146(x73211,x73212,x73213)+~P106(f326(x73211,x73213))+P106(f326(f326(f235(a1),x73212),f2(a1)))+P106(f326(f326(f235(a1),f861(x73213,x73212,x73211)),x73212))
% 178.51/178.26 [7327]~P108(x73271)+~P94(x73271)+E(f326(f326(f232(x73271),f326(f103(x73271),x73272)),f326(f103(x73271),x73273)),f326(f103(x73271),x73272))+~P106(f326(f326(f234(x73271),f326(f103(x73271),x73272)),f326(f103(x73271),x73273)))
% 178.51/178.26 [7328]~P108(x73281)+~P94(x73281)+E(f326(f326(f233(x73281),f326(f103(x73281),x73282)),f326(f103(x73281),x73283)),f326(f103(x73281),x73283))+~P106(f326(f326(f234(x73281),f326(f103(x73281),x73282)),f326(f103(x73281),x73283)))
% 178.51/178.26 [7342]P147(x73421,x73422,x73423)+~P106(f326(x73421,f2(a1)))+P106(f326(f326(f235(a1),x73422),f2(a1)))+P106(f326(f326(f235(a1),f856(x73423,x73422,x73421)),x73422))
% 178.51/178.26 [7350]P146(x73501,x73502,x73503)+~P106(f326(x73501,x73503))+P106(f326(f326(f234(a1),f860(x73503,x73502,x73501)),f2(a1)))+P106(f326(f326(f235(a1),f2(a1)),x73502))
% 178.51/178.26 [7374]P147(x73741,x73742,x73743)+~P106(f326(x73741,f2(a1)))+P106(f326(f326(f234(a1),f855(x73743,x73742,x73741)),f2(a1)))+P106(f326(f326(f235(a1),f2(a1)),x73742))
% 178.51/178.26 [7402]~P106(f326(x74021,x74022))+P106(f326(x74021,f2(a914)))+~P106(f326(f326(f235(a914),x74022),x74023))+P106(f326(f326(f235(a914),f382(x74022,x74021,x74023)),x74023))
% 178.51/178.26 [7419]~P109(x74191)+~P12(x74191,x74193)+P12(x74191,f326(f326(f151(x74191),x74192),x74193))+P106(f326(f326(f328(x74191),f710(x74193,x74192,x74191)),f326(f172(x74191),x74193)))
% 178.51/178.26 [7420]~P109(x74201)+~P12(x74201,x74203)+P12(x74201,f326(f326(f151(x74201),x74202),x74203))+P106(f326(f326(f328(x74201),f713(x74203,x74202,x74201)),f326(f172(x74201),x74203)))
% 178.51/178.26 [7421]~P109(x74211)+~P12(x74211,x74213)+P12(x74211,f326(f326(f151(x74211),x74212),x74213))+P106(f326(f326(f328(x74211),f751(x74212,x74213,x74211)),f326(f172(x74211),x74213)))
% 178.51/178.26 [7534]~P109(x75341)+~P4(x75341)+~P106(f326(f326(f235(x75341),x75343),f37(x75341,x75342)))+P106(f326(f326(f328(x75341),f766(x75342,x75343,x75341)),x75342))
% 178.51/178.26 [7690]~P109(x76901)+~P4(x76901)+~P106(f326(f326(f235(x76901),f38(x76901,x76903)),x76902))+P106(f326(f326(f328(x76901),f387(x76902,x76903,x76901)),x76903))
% 178.51/178.26 [7691]~P109(x76911)+~P4(x76911)+~P106(f326(f326(f235(x76911),f38(x76911,x76913)),x76912))+P106(f326(f326(f235(x76911),f387(x76912,x76913,x76911)),x76912))
% 178.51/178.26 [7703]P147(x77032,x77031,x77033)+E(x77031,f2(a1))+P106(f326(f326(f235(a1),x77031),f855(x77033,x77031,x77032)))+P106(f326(f326(f235(a1),f856(x77033,x77031,x77032)),x77031))
% 178.51/178.26 [7704]P146(x77042,x77041,x77043)+E(x77041,f2(a1))+P106(f326(f326(f235(a1),x77041),f860(x77043,x77041,x77042)))+P106(f326(f326(f235(a1),f861(x77043,x77041,x77042)),x77041))
% 178.51/178.26 [7793]P147(x77933,x77931,x77932)+E(x77931,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x77931),f859(x77932,x77931,x77933))),f855(x77932,x77931,x77933)),x77932)+P106(f326(f326(f235(a1),f2(a1)),x77931))
% 178.51/178.26 [7794]P146(x77943,x77941,x77942)+E(x77941,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x77941),f863(x77942,x77941,x77943))),f860(x77942,x77941,x77943)),x77942)+P106(f326(f326(f235(a1),f2(a1)),x77941))
% 178.51/178.26 [7797]~P134(x77971)+~P106(f326(f326(f234(x77971),x77973),f2(x77971)))+P106(f326(f326(f234(x77971),f326(f326(f80(x77971),x77972),x77973)),f2(x77971)))+~P106(f326(f326(f234(x77971),f2(x77971)),x77972))
% 178.51/178.26 [7799]~P134(x77991)+~P106(f326(f326(f234(x77991),x77992),f2(x77991)))+P106(f326(f326(f234(x77991),f326(f326(f80(x77991),x77992),x77993)),f2(x77991)))+~P106(f326(f326(f234(x77991),f2(x77991)),x77993))
% 178.51/178.26 [7800]~P126(x78001)+~P106(f326(f326(f234(x78001),x78003),f2(x78001)))+P106(f326(f326(f234(x78001),f326(f326(f80(x78001),x78002),x78003)),f2(x78001)))+~P106(f326(f326(f234(x78001),f2(x78001)),x78002))
% 178.51/178.26 [7801]~P126(x78011)+~P106(f326(f326(f234(x78011),x78012),f2(x78011)))+P106(f326(f326(f234(x78011),f326(f326(f80(x78011),x78012),x78013)),f2(x78011)))+~P106(f326(f326(f234(x78011),f2(x78011)),x78013))
% 178.51/178.26 [7802]~P65(x78021)+~P106(f326(f326(f234(x78021),x78023),f2(x78021)))+P106(f326(f326(f234(x78021),f326(f326(f289(x78021),x78022),x78023)),f2(x78021)))+~P106(f326(f326(f234(x78021),f2(x78021)),x78022))
% 178.51/178.26 [7803]~P65(x78031)+~P106(f326(f326(f234(x78031),x78032),f2(x78031)))+P106(f326(f326(f234(x78031),f326(f326(f289(x78031),x78032),x78033)),f2(x78031)))+~P106(f326(f326(f234(x78031),f2(x78031)),x78033))
% 178.51/178.26 [7804]~P66(x78041)+~P106(f326(f326(f234(x78041),x78042),f2(x78041)))+P106(f326(f326(f234(x78041),f326(f326(f289(x78041),x78042),x78043)),f2(x78041)))+~P106(f326(f326(f235(x78041),f2(x78041)),x78043))
% 178.51/178.26 [7805]~P66(x78051)+~P106(f326(f326(f235(x78051),x78053),f2(x78051)))+P106(f326(f326(f234(x78051),f326(f326(f289(x78051),x78052),x78053)),f2(x78051)))+~P106(f326(f326(f234(x78051),f2(x78051)),x78052))
% 178.51/178.26 [7807]~P132(x78071)+~P106(f326(f326(f235(x78071),x78073),f2(x78071)))+P106(f326(f326(f235(x78071),f326(f326(f80(x78071),x78072),x78073)),f2(x78071)))+~P106(f326(f326(f235(x78071),f2(x78071)),x78072))
% 178.51/178.26 [7808]~P132(x78081)+~P106(f326(f326(f235(x78081),x78082),f2(x78081)))+P106(f326(f326(f235(x78081),f326(f326(f80(x78081),x78082),x78083)),f2(x78081)))+~P106(f326(f326(f235(x78081),f2(x78081)),x78083))
% 178.51/178.26 [7809]~P65(x78091)+~P106(f326(f326(f235(x78091),x78093),f2(x78091)))+P106(f326(f326(f235(x78091),f326(f326(f289(x78091),x78092),x78093)),f2(x78091)))+~P106(f326(f326(f235(x78091),f2(x78091)),x78092))
% 178.51/178.26 [7810]~P65(x78101)+~P106(f326(f326(f235(x78101),x78102),f2(x78101)))+P106(f326(f326(f235(x78101),f326(f326(f289(x78101),x78102),x78103)),f2(x78101)))+~P106(f326(f326(f235(x78101),f2(x78101)),x78103))
% 178.51/178.26 [7811]~P66(x78111)+~P106(f326(f326(f235(x78111),x78113),f2(x78111)))+P106(f326(f326(f235(x78111),f326(f326(f289(x78111),x78112),x78113)),f2(x78111)))+~P106(f326(f326(f235(x78111),f2(x78111)),x78112))
% 178.51/178.26 [7812]~P66(x78121)+~P106(f326(f326(f235(x78121),x78122),f2(x78121)))+P106(f326(f326(f235(x78121),f326(f326(f289(x78121),x78122),x78123)),f2(x78121)))+~P106(f326(f326(f235(x78121),f2(x78121)),x78123))
% 178.51/178.26 [7827]P146(x78271,x78272,x78273)+~P106(f326(x78271,x78273))+P106(f326(f326(f235(a1),x78272),f860(x78273,x78272,x78271)))+P106(f326(f326(f235(a1),f861(x78273,x78272,x78271)),x78272))
% 178.51/178.26 [7840]P147(x78401,x78402,x78403)+P106(f326(f326(f235(a1),x78402),f855(x78403,x78402,x78401)))+~P106(f326(x78401,f2(a1)))+P106(f326(f326(f235(a1),f856(x78403,x78402,x78401)),x78402))
% 178.51/178.26 [7890]P147(x78902,x78901,x78903)+E(x78901,f2(a1))+~P106(f326(x78902,f859(x78903,x78901,x78902)))+P106(f326(f326(f235(a1),f856(x78903,x78901,x78902)),x78901))
% 178.51/178.26 [7891]P146(x78912,x78911,x78913)+E(x78911,f2(a1))+~P106(f326(x78912,f860(x78913,x78911,x78912)))+P106(f326(f326(f235(a1),f861(x78913,x78911,x78912)),x78911))
% 178.51/178.26 [7901]P146(x79013,x79011,x79012)+~P106(f326(x79013,x79012))+E(f326(f326(f79(a1),f326(f326(f80(a1),x79011),f863(x79012,x79011,x79013))),f860(x79012,x79011,x79013)),x79012)+P106(f326(f326(f235(a1),f2(a1)),x79011))
% 178.51/178.26 [7916]P147(x79163,x79161,x79162)+E(f326(f326(f79(a1),f326(f326(f80(a1),x79161),f859(x79162,x79161,x79163))),f855(x79162,x79161,x79163)),x79162)+~P106(f326(x79163,f2(a1)))+P106(f326(f326(f235(a1),f2(a1)),x79161))
% 178.51/178.26 [7944]~P106(f326(x79441,x79443))+~P106(f326(f61(x79442),x79443))+P106(f326(f326(f328(x79442),f488(x79441,x79443,x79442)),f508(x79441,x79443,x79442)))+P106(f326(x79441,f188(f922(x79442,a910))))
% 178.51/178.26 [7955]P146(x79551,x79552,x79553)+~P106(f326(x79551,x79553))+~P106(f326(x79551,f860(x79553,x79552,x79551)))+P106(f326(f326(f235(a1),f861(x79553,x79552,x79551)),x79552))
% 178.51/178.26 [7961]P147(x79611,x79612,x79613)+~P106(f326(x79611,f859(x79613,x79612,x79611)))+~P106(f326(x79611,f2(a1)))+P106(f326(f326(f235(a1),f856(x79613,x79612,x79611)),x79612))
% 178.51/178.26 [8061]~P126(x80611)+~P106(f326(f326(f234(x80611),f326(f326(f80(x80611),x80613),x80612)),f2(x80611)))+P106(f326(f326(f234(x80611),x80612),f2(x80611)))+P106(f326(f326(f234(x80611),f2(x80611)),x80612))
% 178.51/178.26 [8062]~P126(x80621)+~P106(f326(f326(f234(x80621),f326(f326(f80(x80621),x80622),x80623)),f2(x80621)))+P106(f326(f326(f234(x80621),x80622),f2(x80621)))+P106(f326(f326(f234(x80621),f2(x80621)),x80622))
% 178.51/178.26 [8063]~P65(x80631)+~P106(f326(f326(f234(x80631),f326(f326(f289(x80631),x80633),x80632)),f2(x80631)))+P106(f326(f326(f234(x80631),x80632),f2(x80631)))+P106(f326(f326(f234(x80631),f2(x80631)),x80632))
% 178.51/178.26 [8064]~P65(x80641)+~P106(f326(f326(f234(x80641),f326(f326(f289(x80641),x80642),x80643)),f2(x80641)))+P106(f326(f326(f234(x80641),x80642),f2(x80641)))+P106(f326(f326(f234(x80641),f2(x80641)),x80642))
% 178.51/178.26 [8065]~P65(x80651)+~P106(f326(f326(f235(x80651),f326(f326(f289(x80651),x80653),x80652)),f2(x80651)))+P106(f326(f326(f235(x80651),x80652),f2(x80651)))+P106(f326(f326(f235(x80651),f2(x80651)),x80652))
% 178.51/178.26 [8066]~P65(x80661)+~P106(f326(f326(f235(x80661),f326(f326(f289(x80661),x80662),x80663)),f2(x80661)))+P106(f326(f326(f235(x80661),x80662),f2(x80661)))+P106(f326(f326(f235(x80661),f2(x80661)),x80662))
% 178.51/178.26 [8089]~P126(x80891)+~P106(f326(f326(f234(x80891),f326(f326(f80(x80891),x80892),x80893)),f2(x80891)))+P106(f326(f326(f234(x80891),f2(x80891)),x80892))+P106(f326(f326(f234(x80891),f2(x80891)),x80893))
% 178.51/178.26 [8090]~P65(x80901)+~P106(f326(f326(f234(x80901),f326(f326(f289(x80901),x80902),x80903)),f2(x80901)))+P106(f326(f326(f234(x80901),f2(x80901)),x80902))+P106(f326(f326(f234(x80901),f2(x80901)),x80903))
% 178.51/178.26 [8091]~P65(x80911)+~P106(f326(f326(f235(x80911),f326(f326(f289(x80911),x80912),x80913)),f2(x80911)))+P106(f326(f326(f235(x80911),f2(x80911)),x80912))+P106(f326(f326(f235(x80911),f2(x80911)),x80913))
% 178.51/178.26 [8113]P147(x81132,x81131,x81133)+E(x81131,f2(a1))+P106(f326(f326(f234(a1),f855(x81133,x81131,x81132)),f2(a1)))+P106(f326(f326(f235(a1),f856(x81133,x81131,x81132)),x81131))
% 178.51/178.26 [8114]P146(x81142,x81141,x81143)+E(x81141,f2(a1))+P106(f326(f326(f234(a1),f860(x81143,x81141,x81142)),f2(a1)))+P106(f326(f326(f235(a1),f861(x81143,x81141,x81142)),x81141))
% 178.51/178.26 [8121]~P125(x81211)+~P106(f326(f326(f235(x81211),x81212),f77(x81211)))+P106(f326(f326(f235(x81211),f326(f326(f243(x81211),x81212),f326(a112,x81213))),f77(x81211)))+~P106(f326(f326(f235(x81211),f2(x81211)),x81212))
% 178.51/178.26 [8174]~P109(x81741)+~E(x81743,f113(x81741))+~P12(x81741,f326(f168(x81741),x81743))+E(f326(f142(x81741,x81741,f326(f9(x81741,x81741,x81741),f233(x81741)),x81742),f326(f168(x81741),x81743)),x81742)
% 178.51/178.26 [8177]P146(x81771,x81772,x81773)+~P106(f326(x81771,x81773))+P106(f326(f326(f234(a1),f860(x81773,x81772,x81771)),f2(a1)))+P106(f326(f326(f235(a1),f861(x81773,x81772,x81771)),x81772))
% 178.51/178.26 [8184]P147(x81841,x81842,x81843)+~P106(f326(x81841,f2(a1)))+P106(f326(f326(f234(a1),f855(x81843,x81842,x81841)),f2(a1)))+P106(f326(f326(f235(a1),f856(x81843,x81842,x81841)),x81842))
% 178.51/178.26 [8396]P147(x83963,x83961,x83962)+E(x83961,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x83961),f859(x83962,x83961,x83963))),f855(x83962,x83961,x83963)),x83962)+P106(f326(f326(f235(a1),f856(x83962,x83961,x83963)),x83961))
% 178.51/178.26 [8397]P146(x83973,x83971,x83972)+E(x83971,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x83971),f863(x83972,x83971,x83973))),f860(x83972,x83971,x83973)),x83972)+P106(f326(f326(f235(a1),f861(x83972,x83971,x83973)),x83971))
% 178.51/178.26 [8432]P146(x84323,x84321,x84322)+~P106(f326(x84323,x84322))+E(f326(f326(f79(a1),f326(f326(f80(a1),x84321),f863(x84322,x84321,x84323))),f860(x84322,x84321,x84323)),x84322)+P106(f326(f326(f235(a1),f861(x84322,x84321,x84323)),x84321))
% 178.51/178.26 [8433]~P70(x84331)+~P75(x84331)+~P40(x84333)+E(f326(f326(f8(a914,x84331),f326(f326(f10(a1,x84331,a914),x84332),f100(a1))),f326(f309(a1,a914,a104),x84333)),f326(f326(f8(a1,x84331),x84332),x84333))
% 178.51/178.26 [8434]~P70(x84341)+~P75(x84341)+~P40(x84343)+E(f326(f326(f11(a914,x84341),f326(f326(f10(a1,x84341,a914),x84342),f100(a1))),f326(f309(a1,a914,a104),x84343)),f326(f326(f11(a1,x84341),x84342),x84343))
% 178.51/178.26 [8443]P147(x84433,x84431,x84432)+E(f326(f326(f79(a1),f326(f326(f80(a1),x84431),f859(x84432,x84431,x84433))),f855(x84432,x84431,x84433)),x84432)+~P106(f326(x84433,f2(a1)))+P106(f326(f326(f235(a1),f856(x84432,x84431,x84433)),x84431))
% 178.51/178.26 [8465]~E(x84652,f2(a914))+~E(f326(f250(a914,a914),x84653),f2(a914))+~E(x84651,f326(f326(f79(a914),f326(f326(f80(a914),f326(f250(a914,a914),x84653)),x84652)),f326(f255(a914,a914),x84653)))+P106(f326(f48(x84651,x84652),x84653))
% 178.51/178.26 [8522]P106(f326(x85221,x85222))+~P106(f326(f326(f328(x85223),f903(x85221,x85222,x85223)),f900(x85221,x85222,x85223)))+~P106(f326(f61(x85223),x85222))+~P106(f326(x85221,f188(f922(x85223,a910))))
% 178.51/178.26 [9143]P106(f326(x91431,x91432))+~P106(f326(f61(x91433),x91432))+~P106(f326(x91431,f326(f326(f308(x91433),f903(x91431,x91432,x91433)),f900(x91431,x91432,x91433))))+~P106(f326(x91431,f188(f922(x91433,a910))))
% 178.51/178.26 [9374]P106(f326(f326(f234(a1),x93741),f2(a1)))+~P106(f326(f326(f235(a1),f326(f326(f79(a1),f326(f326(f80(a1),x93743),x93741)),x93742)),f2(a1)))+~P106(f326(f326(f234(a1),f2(a1)),x93742))+~P106(f326(f326(f235(a1),f2(a1)),x93743))
% 178.51/178.26 [5986]~P78(x59862)+E(x59861,f188(f922(x59862,a910)))+~P106(f326(f61(x59862),x59861))+E(f12(x59862,f326(f326(f308(x59862),x59863),x59861)),f326(f326(f110(x59862),x59863),f12(x59862,x59861)))
% 178.51/178.26 [5987]~P78(x59872)+E(x59871,f188(f922(x59872,a910)))+~P106(f326(f61(x59872),x59871))+E(f13(x59872,f326(f326(f308(x59872),x59873),x59871)),f326(f326(f101(x59872),x59873),f13(x59872,x59871)))
% 178.51/178.26 [5988]~P109(x59882)+E(x59881,f188(f922(x59882,a910)))+~P106(f326(f61(x59882),x59881))+E(f16(x59882,f326(f326(f308(x59882),x59883),x59881)),f326(f326(f232(x59882),x59883),f16(x59882,x59881)))
% 178.51/178.26 [5989]~P109(x59892)+E(x59891,f188(f922(x59892,a910)))+~P106(f326(f61(x59892),x59891))+E(f17(x59892,f326(f326(f308(x59892),x59893),x59891)),f326(f326(f233(x59892),x59893),f17(x59892,x59891)))
% 178.51/178.26 [6313]~P126(x63131)+~E(x63133,f2(x63131))+~E(x63132,f2(x63131))+E(f326(f326(f79(x63131),f326(f326(f80(x63131),x63132),x63132)),f326(f326(f80(x63131),x63133),x63133)),f2(x63131))
% 178.51/178.26 [6384]~P97(x63842)+E(x63841,f188(f922(x63842,a910)))+~P106(f326(f61(x63842),x63841))+E(f326(f63(x63842,f80(x63842)),f326(f326(f308(x63842),x63843),x63841)),f326(f326(f80(x63842),x63843),f326(f63(x63842,f80(x63842)),x63841)))
% 178.51/178.26 [6511]~P109(x65112)+E(x65111,f188(f922(x65112,a910)))+~P106(f326(f61(x65112),x65111))+E(f14(x65112,f232(x65112),f326(f326(f308(x65112),x65113),x65111)),f326(f326(f232(x65112),x65113),f14(x65112,f232(x65112),x65111)))
% 178.51/178.26 [6512]~P109(x65122)+E(x65121,f188(f922(x65122,a910)))+~P106(f326(f61(x65122),x65121))+E(f15(x65122,f233(x65122),f326(f326(f308(x65122),x65123),x65121)),f326(f326(f233(x65122),x65123),f15(x65122,f233(x65122),x65121)))
% 178.51/178.26 [7023]~P68(x70231)+~P106(f326(f61(x70231),x70233))+E(f326(f63(x70231,f80(x70231)),f326(f326(f308(x70231),x70232),x70233)),f326(f326(f64(x70231,x70231,f80(x70231)),x70232),x70233))+P106(f326(f326(f328(x70231),x70232),x70233))
% 178.51/178.26 [7101]~E(f326(f326(f79(a1),x71012),f326(f326(f80(a1),x71013),x71011)),x71013)+~P106(f326(f326(f235(a1),f2(a1)),x71013))+P106(f326(f326(f234(a1),f77(a1)),x71011))+~P106(f326(f326(f235(a1),x71012),x71013))
% 178.51/178.26 [7129]~E(f326(f326(f79(a1),x71292),f326(f326(f80(a1),x71293),x71291)),x71293)+P106(f326(f326(f234(a1),x71291),f77(a1)))+~P106(f326(f326(f234(a1),f2(a1)),x71292))+~P106(f326(f326(f235(a1),f2(a1)),x71293))
% 178.51/178.26 [7147]E(x71471,f2(a914))+~P106(f326(f48(x71473,x71471),x71472))+~P106(f326(f326(f235(a914),f2(a914)),x71471))+P106(f326(f326(f235(a914),f326(f255(a914,a914),x71472)),x71471))
% 178.51/178.26 [7177]~P137(x71771)+~P106(f326(f326(f234(x71771),x71772),f2(x71771)))+~P106(f326(f326(f234(x71771),x71773),f2(x71771)))+E(f326(f326(f80(x71771),f326(f75(x71771),x71772)),f326(f75(x71771),x71773)),f326(f75(x71771),f326(f326(f80(x71771),x71772),x71773)))
% 178.51/178.26 [7225]~P137(x72251)+~P106(f326(f326(f234(x72251),x72252),f2(x72251)))+E(f326(f326(f80(x72251),f326(f75(x72251),x72252)),f326(f75(x72251),x72253)),f326(f75(x72251),f326(f326(f80(x72251),x72252),x72253)))+~P106(f326(f326(f234(x72251),f2(x72251)),x72253))
% 178.51/178.26 [7226]~P137(x72261)+~P106(f326(f326(f234(x72261),x72263),f2(x72261)))+E(f326(f326(f80(x72261),f326(f75(x72261),x72262)),f326(f75(x72261),x72263)),f326(f75(x72261),f326(f326(f80(x72261),x72262),x72263)))+~P106(f326(f326(f234(x72261),f2(x72261)),x72262))
% 178.51/178.26 [7282]~P137(x72821)+E(f326(f326(f80(x72821),f326(f75(x72821),x72822)),f326(f75(x72821),x72823)),f326(f75(x72821),f326(f326(f80(x72821),x72822),x72823)))+~P106(f326(f326(f234(x72821),f2(x72821)),x72822))+~P106(f326(f326(f234(x72821),f2(x72821)),x72823))
% 178.51/178.26 [7299]~P112(x72991)+~P106(f326(f326(f234(x72991),x72993),f2(x72991)))+~P106(f326(f326(f234(x72991),x72992),f2(x72991)))+P106(f326(f326(f234(x72991),f2(x72991)),f326(f326(f80(x72991),x72992),x72993)))
% 178.51/178.26 [7300]~P126(x73001)+~P106(f326(f326(f234(x73001),x73003),f2(x73001)))+~P106(f326(f326(f234(x73001),x73002),f2(x73001)))+P106(f326(f326(f234(x73001),f2(x73001)),f326(f326(f80(x73001),x73002),x73003)))
% 178.51/178.26 [7301]~P65(x73011)+~P106(f326(f326(f234(x73011),x73013),f2(x73011)))+~P106(f326(f326(f234(x73011),x73012),f2(x73011)))+P106(f326(f326(f234(x73011),f2(x73011)),f326(f326(f289(x73011),x73012),x73013)))
% 178.51/178.26 [7302]~P66(x73021)+~P106(f326(f326(f235(x73021),x73023),f2(x73021)))+~P106(f326(f326(f234(x73021),x73022),f2(x73021)))+P106(f326(f326(f234(x73021),f2(x73021)),f326(f326(f289(x73021),x73022),x73023)))
% 178.51/178.26 [7303]~P126(x73031)+~P106(f326(f326(f235(x73031),x73033),f2(x73031)))+~P106(f326(f326(f235(x73031),x73032),f2(x73031)))+P106(f326(f326(f235(x73031),f2(x73031)),f326(f326(f80(x73031),x73032),x73033)))
% 178.51/178.26 [7304]~P65(x73041)+~P106(f326(f326(f235(x73041),x73043),f2(x73041)))+~P106(f326(f326(f235(x73041),x73042),f2(x73041)))+P106(f326(f326(f235(x73041),f2(x73041)),f326(f326(f289(x73041),x73042),x73043)))
% 178.51/178.26 [7305]~P66(x73051)+~P106(f326(f326(f235(x73051),x73053),f2(x73051)))+~P106(f326(f326(f235(x73051),x73052),f2(x73051)))+P106(f326(f326(f235(x73051),f2(x73051)),f326(f326(f289(x73051),x73052),x73053)))
% 178.51/178.26 [7306]~P125(x73061)+~P106(f326(f326(f235(a914),f2(a914)),x73063))+~P106(f326(f326(f235(x73061),f77(x73061)),x73062))+P106(f326(f326(f235(x73061),f77(x73061)),f326(f326(f243(x73061),x73062),x73063)))
% 178.51/178.26 [7403]~P112(x74031)+~P106(f326(f326(f234(x74031),f2(x74031)),x74033))+~P106(f326(f326(f234(x74031),f2(x74031)),x74032))+P106(f326(f326(f234(x74031),f2(x74031)),f326(f326(f80(x74031),x74032),x74033)))
% 178.51/178.26 [7404]~P134(x74041)+~P106(f326(f326(f234(x74041),f2(x74041)),x74043))+~P106(f326(f326(f234(x74041),f2(x74041)),x74042))+P106(f326(f326(f234(x74041),f2(x74041)),f326(f326(f80(x74041),x74042),x74043)))
% 178.51/178.26 [7405]~P126(x74051)+~P106(f326(f326(f234(x74051),f2(x74051)),x74053))+~P106(f326(f326(f234(x74051),f2(x74051)),x74052))+P106(f326(f326(f234(x74051),f2(x74051)),f326(f326(f80(x74051),x74052),x74053)))
% 178.51/178.26 [7407]~P65(x74071)+~P106(f326(f326(f234(x74071),f2(x74071)),x74073))+~P106(f326(f326(f234(x74071),f2(x74071)),x74072))+P106(f326(f326(f234(x74071),f2(x74071)),f326(f326(f289(x74071),x74072),x74073)))
% 178.51/178.26 [7408]~P66(x74081)+~P106(f326(f326(f235(x74081),f2(x74081)),x74083))+~P106(f326(f326(f234(x74081),f2(x74081)),x74082))+P106(f326(f326(f234(x74081),f2(x74081)),f326(f326(f289(x74081),x74082),x74083)))
% 178.51/178.26 [7409]~P125(x74091)+~P106(f326(f326(f235(x74091),f77(x74091)),x74093))+~P106(f326(f326(f235(x74091),f77(x74091)),x74092))+P106(f326(f326(f235(x74091),f77(x74091)),f326(f326(f80(x74091),x74092),x74093)))
% 178.51/178.26 [7410]~P132(x74101)+~P106(f326(f326(f235(x74101),f2(x74101)),x74103))+~P106(f326(f326(f235(x74101),f2(x74101)),x74102))+P106(f326(f326(f235(x74101),f2(x74101)),f326(f326(f80(x74101),x74102),x74103)))
% 178.51/178.26 [7413]~P89(x74131)+~P106(f326(f326(f235(x74131),f2(x74131)),x74133))+~P106(f326(f326(f235(x74131),f2(x74131)),x74132))+P106(f326(f326(f235(x74131),f2(x74131)),f326(f326(f79(x74131),x74132),x74133)))
% 178.51/178.26 [7414]~P65(x74141)+~P106(f326(f326(f235(x74141),f2(x74141)),x74143))+~P106(f326(f326(f235(x74141),f2(x74141)),x74142))+P106(f326(f326(f235(x74141),f2(x74141)),f326(f326(f289(x74141),x74142),x74143)))
% 178.51/178.26 [7415]~P66(x74151)+~P106(f326(f326(f235(x74151),f2(x74151)),x74153))+~P106(f326(f326(f235(x74151),f2(x74151)),x74152))+P106(f326(f326(f235(x74151),f2(x74151)),f326(f326(f289(x74151),x74152),x74153)))
% 178.51/178.26 [7493]~P78(x74931)+~P106(f326(f61(x74931),x74933))+E(f12(x74931,f326(f326(f308(x74931),x74932),x74933)),x74932)+~E(f326(f326(f3(f922(x74931,a910)),x74933),f326(f326(f308(x74931),x74932),f188(f922(x74931,a910)))),f188(f922(x74931,a910)))
% 178.51/178.26 [7494]~P78(x74941)+~P106(f326(f61(x74941),x74943))+E(f13(x74941,f326(f326(f308(x74941),x74942),x74943)),x74942)+~E(f326(f326(f3(f922(x74941,a910)),x74943),f326(f326(f308(x74941),x74942),f188(f922(x74941,a910)))),f188(f922(x74941,a910)))
% 178.51/178.26 [7495]~P109(x74951)+~P106(f326(f61(x74951),x74953))+E(f16(x74951,f326(f326(f308(x74951),x74952),x74953)),x74952)+~E(f326(f326(f3(f922(x74951,a910)),x74953),f326(f326(f308(x74951),x74952),f188(f922(x74951,a910)))),f188(f922(x74951,a910)))
% 178.51/178.26 [7496]~P109(x74961)+~P106(f326(f61(x74961),x74963))+E(f17(x74961,f326(f326(f308(x74961),x74962),x74963)),x74962)+~E(f326(f326(f3(f922(x74961,a910)),x74963),f326(f326(f308(x74961),x74962),f188(f922(x74961,a910)))),f188(f922(x74961,a910)))
% 178.51/178.26 [7498]~P126(x74981)+P106(f326(f326(f234(x74981),x74982),f2(x74981)))+P106(f326(f326(f234(x74981),f2(x74981)),x74983))+~P106(f326(f326(f234(x74981),f2(x74981)),f326(f326(f80(x74981),x74983),x74982)))
% 178.51/178.26 [7499]~P126(x74991)+P106(f326(f326(f234(x74991),x74992),f2(x74991)))+P106(f326(f326(f234(x74991),f2(x74991)),x74993))+~P106(f326(f326(f234(x74991),f2(x74991)),f326(f326(f80(x74991),x74992),x74993)))
% 178.51/178.26 [7500]~P65(x75001)+P106(f326(f326(f234(x75001),x75002),f2(x75001)))+P106(f326(f326(f234(x75001),f2(x75001)),x75003))+~P106(f326(f326(f234(x75001),f2(x75001)),f326(f326(f289(x75001),x75003),x75002)))
% 178.51/178.26 [7501]~P65(x75011)+P106(f326(f326(f234(x75011),x75012),f2(x75011)))+P106(f326(f326(f234(x75011),f2(x75011)),x75013))+~P106(f326(f326(f234(x75011),f2(x75011)),f326(f326(f289(x75011),x75012),x75013)))
% 178.51/178.26 [7502]~P126(x75021)+P106(f326(f326(f234(x75021),x75022),f2(x75021)))+P106(f326(f326(f234(x75021),f2(x75021)),x75022))+~P106(f326(f326(f234(x75021),f2(x75021)),f326(f326(f80(x75021),x75023),x75022)))
% 178.51/178.26 [7503]~P126(x75031)+P106(f326(f326(f234(x75031),x75032),f2(x75031)))+P106(f326(f326(f234(x75031),f2(x75031)),x75032))+~P106(f326(f326(f234(x75031),f2(x75031)),f326(f326(f80(x75031),x75032),x75033)))
% 178.51/178.26 [7504]~P65(x75041)+P106(f326(f326(f234(x75041),x75042),f2(x75041)))+P106(f326(f326(f234(x75041),f2(x75041)),x75042))+~P106(f326(f326(f234(x75041),f2(x75041)),f326(f326(f289(x75041),x75043),x75042)))
% 178.51/178.26 [7505]~P65(x75051)+P106(f326(f326(f234(x75051),x75052),f2(x75051)))+P106(f326(f326(f234(x75051),f2(x75051)),x75052))+~P106(f326(f326(f234(x75051),f2(x75051)),f326(f326(f289(x75051),x75052),x75053)))
% 178.51/178.26 [7506]~P65(x75061)+P106(f326(f326(f235(x75061),x75062),f2(x75061)))+P106(f326(f326(f235(x75061),f2(x75061)),x75063))+~P106(f326(f326(f235(x75061),f2(x75061)),f326(f326(f289(x75061),x75063),x75062)))
% 178.51/178.26 [7507]~P65(x75071)+P106(f326(f326(f235(x75071),x75072),f2(x75071)))+P106(f326(f326(f235(x75071),f2(x75071)),x75073))+~P106(f326(f326(f235(x75071),f2(x75071)),f326(f326(f289(x75071),x75072),x75073)))
% 178.51/178.26 [7508]~P65(x75081)+P106(f326(f326(f235(x75081),x75082),f2(x75081)))+P106(f326(f326(f235(x75081),f2(x75081)),x75082))+~P106(f326(f326(f235(x75081),f2(x75081)),f326(f326(f289(x75081),x75083),x75082)))
% 178.51/178.26 [7509]~P65(x75091)+P106(f326(f326(f235(x75091),x75092),f2(x75091)))+P106(f326(f326(f235(x75091),f2(x75091)),x75092))+~P106(f326(f326(f235(x75091),f2(x75091)),f326(f326(f289(x75091),x75092),x75093)))
% 178.51/178.26 [7579]~P106(f326(f326(f286(a914),x75791),x75793))+P106(f326(f326(f286(a914),x75791),x75792))+~P106(f326(f326(f234(a914),x75792),x75793))+~P106(f326(f326(f286(a914),x75791),f326(f326(f3(a914),x75793),x75792)))
% 178.51/178.26 [7580]~P106(f326(f326(f286(a914),x75801),x75803))+P106(f326(f326(f286(a914),x75801),x75802))+~P106(f326(f326(f234(a914),x75803),x75802))+~P106(f326(f326(f286(a914),x75801),f326(f326(f3(a914),x75802),x75803)))
% 178.51/178.26 [7595]~E(f326(f326(f101(f922(x75951,a910)),f326(f172(x75951),x75952)),f326(f172(x75951),x75953)),f188(f922(x75951,a910)))+~P106(f326(f137(x75951),x75953))+~P106(f326(f137(x75951),x75952))+P106(f326(f137(x75951),f326(f326(f134(x75951),x75952),x75953)))
% 178.51/178.26 [7596]~P109(x75961)+~P106(f326(f61(x75961),x75963))+E(f14(x75961,f232(x75961),f326(f326(f308(x75961),x75962),x75963)),x75962)+~E(f326(f326(f3(f922(x75961,a910)),x75963),f326(f326(f308(x75961),x75962),f188(f922(x75961,a910)))),f188(f922(x75961,a910)))
% 178.51/178.26 [7597]~P109(x75971)+~P106(f326(f61(x75971),x75973))+E(f15(x75971,f233(x75971),f326(f326(f308(x75971),x75972),x75973)),x75972)+~E(f326(f326(f3(f922(x75971,a910)),x75973),f326(f326(f308(x75971),x75972),f188(f922(x75971,a910)))),f188(f922(x75971,a910)))
% 178.51/178.26 [7611]~P87(x76111)+~P106(f326(f326(f234(x76111),x76112),x76113))+~P106(f326(f326(f234(x76111),f326(f78(x76111),x76112)),x76113))+P106(f326(f326(f234(x76111),f326(f75(x76111),x76112)),x76113))
% 178.51/178.26 [7612]~P119(x76121)+~P106(f326(f326(f235(x76121),x76122),x76123))+~P106(f326(f326(f235(x76121),f326(f78(x76121),x76122)),x76123))+P106(f326(f326(f235(x76121),f326(f75(x76121),x76122)),x76123))
% 178.51/178.26 [7679]~P132(x76791)+P106(f326(f326(f235(x76791),f2(x76791)),x76792))+~P106(f326(f326(f235(x76791),f2(x76791)),x76793))+~P106(f326(f326(f235(x76791),f2(x76791)),f326(f326(f80(x76791),x76793),x76792)))
% 178.51/178.26 [7680]~P132(x76801)+P106(f326(f326(f235(x76801),f2(x76801)),x76802))+~P106(f326(f326(f235(x76801),f2(x76801)),x76803))+~P106(f326(f326(f235(x76801),f2(x76801)),f326(f326(f80(x76801),x76802),x76803)))
% 178.51/178.26 [7975]E(x79751,x79752)+~P106(f326(f61(x79753),x79751))+~P106(f326(f326(f234(a914),f326(f35(x79753),x79751)),f326(f35(x79753),x79752)))+~P106(f326(f326(f234(f922(x79753,a910)),x79752),x79751))
% 178.51/178.26 [8118]~P106(f326(f326(f235(a1),x81181),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x81182))+~P106(f326(f326(f234(a1),x81182),x81183))+P106(f326(f326(f234(a1),f326(f326(f36(a1),x81181),x81182)),f326(f326(f36(a1),x81181),x81183)))
% 178.51/178.26 [8128]~P106(f326(f326(f234(a1),f2(a1)),x81281))+~P106(f326(f326(f235(a1),f2(a1)),x81283))+~P106(f326(f326(f234(a1),x81283),x81282))+P106(f326(f326(f234(a1),f326(f326(f36(a1),x81281),x81282)),f326(f326(f36(a1),x81281),x81283)))
% 178.51/178.26 [8262]E(f326(x82621,f354(x82622,x82621,x82623)),x82622)+~P106(f326(f326(f234(a1),x82622),f326(x82621,x82623)))+P106(f326(f326(f235(a914),f355(x82622,x82621,x82623)),x82623))+~P106(f326(f326(f234(a1),f326(x82621,f2(a914))),x82622))
% 178.51/178.26 [8263]E(f326(x82631,f356(x82632,x82631,x82633)),x82632)+~P106(f326(f326(f234(a1),x82632),f326(x82631,x82633)))+P106(f326(f326(f235(a914),f357(x82632,x82631,x82633)),x82633))+~P106(f326(f326(f234(a1),f326(x82631,f2(a914))),x82632))
% 178.51/178.26 [8359]~P106(f326(f61(x83591),x83593))+~P106(f326(f326(f235(a914),f326(f35(x83591),x83592)),f326(f35(x83591),x83593)))+~P106(f326(f326(f234(f922(x83591,a910)),x83592),x83593))+P106(f326(f326(f235(f922(x83591,a910)),x83592),x83593))
% 178.51/178.26 [8386]E(f326(f326(f79(a1),f434(x83863,x83861,x83862)),f435(x83863,x83861,x83862)),x83861)+E(f326(f326(f3(a1),x83861),x83862),x83861)+~P106(f326(f326(f235(a1),f2(a1)),x83862))+~P106(f326(f326(f328(a1),f326(f326(f3(a1),x83861),f77(a1))),x83863))
% 178.51/178.26 [8387]E(f326(f326(f3(a1),f436(x83873,x83871,x83872)),f437(x83873,x83871,x83872)),x83871)+E(f326(f326(f79(a1),x83871),x83872),x83871)+~P106(f326(f326(f235(a1),f2(a1)),x83872))+~P106(f326(f326(f328(a1),f326(f326(f79(a1),x83871),f77(a1))),x83873))
% 178.51/178.26 [8438]~P106(f326(f326(f234(a914),x84383),x84381))+P106(f326(f326(f234(a914),x84381),x84382))+~P106(f326(f326(f234(a914),x84383),x84382))+~P106(f326(f326(f234(a914),f326(f326(f3(a914),x84381),x84383)),f326(f326(f3(a914),x84382),x84383)))
% 178.51/178.26 [8439]~P106(f326(f326(f234(a914),x84393),x84391))+P106(f326(f326(f235(a914),x84391),x84392))+~P106(f326(f326(f234(a914),x84393),x84392))+~P106(f326(f326(f235(a914),f326(f326(f3(a914),x84391),x84393)),f326(f326(f3(a914),x84392),x84393)))
% 178.51/178.26 [8458]~P109(x84582)+E(x84581,f113(x84582))+~P12(x84582,f326(f168(x84582),x84581))+E(f326(f142(x84582,x84582,f326(f9(x84582,x84582,x84582),f233(x84582)),x84583),f326(f168(x84582),x84581)),f326(f326(f233(x84582),f326(f326(f164(x84582),x84581),f2(a914))),x84583))
% 178.51/178.26 [8527]E(f326(f326(f3(a1),x85271),x85272),x85271)+~P106(f326(f326(f235(a1),f2(a1)),x85272))+P106(f326(f326(f328(a1),f434(x85273,x85271,x85272)),x85273))+~P106(f326(f326(f328(a1),f326(f326(f3(a1),x85271),f77(a1))),x85273))
% 178.51/178.26 [8528]E(f326(f326(f79(a1),x85281),x85282),x85281)+~P106(f326(f326(f235(a1),f2(a1)),x85282))+P106(f326(f326(f328(a1),f436(x85283,x85281,x85282)),x85283))+~P106(f326(f326(f328(a1),f326(f326(f79(a1),x85281),f77(a1))),x85283))
% 178.51/178.26 [8598]~P106(f326(f326(f234(a1),x85981),f326(x85982,x85983)))+P106(f326(f326(f235(a914),f355(x85981,x85982,x85983)),x85983))+P106(f326(f326(f234(a914),f354(x85981,x85982,x85983)),x85983))+~P106(f326(f326(f234(a1),f326(x85982,f2(a914))),x85981))
% 178.51/178.26 [8599]~P106(f326(f326(f234(a1),x85991),f326(x85992,x85993)))+P106(f326(f326(f235(a914),f357(x85991,x85992,x85993)),x85993))+P106(f326(f326(f234(a914),f356(x85991,x85992,x85993)),x85993))+~P106(f326(f326(f234(a1),f326(x85992,f2(a914))),x85991))
% 178.51/178.26 [8671]E(f326(f326(f3(a1),x86711),x86712),x86711)+~P106(f326(f326(f235(a1),f2(a1)),x86712))+P106(f326(f326(f328(a1),f435(x86713,x86711,x86712)),f302(a1,f77(a1),x86712)))+~P106(f326(f326(f328(a1),f326(f326(f3(a1),x86711),f77(a1))),x86713))
% 178.51/178.26 [8672]E(f326(f326(f79(a1),x86721),x86722),x86721)+~P106(f326(f326(f235(a1),f2(a1)),x86722))+P106(f326(f326(f328(a1),f437(x86723,x86721,x86722)),f302(a1,f77(a1),x86722)))+~P106(f326(f326(f328(a1),f326(f326(f79(a1),x86721),f77(a1))),x86723))
% 178.51/178.26 [8804]~P125(x88041)+~P106(f326(f326(f235(x88041),x88042),f77(x88041)))+~P106(f326(f326(f235(x88041),f2(x88041)),x88042))+P106(f326(f326(f235(x88041),f326(f326(f80(x88041),x88042),f326(f326(f243(x88041),x88042),x88043))),f326(f326(f243(x88041),x88042),x88043)))
% 178.51/178.26 [8897]~P106(f326(x88971,x88972))+P106(f326(x88971,f2(a914)))+~P106(f326(f326(f235(a914),x88972),x88973))+~P106(f326(x88971,f45(a914,f326(a112,f382(x88972,x88971,x88973)),x88973)))
% 178.51/178.26 [9049]E(f405(x90491,x90492,x90493),f2(a914))+P106(f326(f326(x90491,x90493),x90492))+P106(f326(f326(x90491,f405(x90491,x90492,x90493)),f45(a914,f404(x90491,x90492,x90493),f405(x90491,x90492,x90493))))+~P106(f326(f314(f921(a914,a914),a219),f326(f326(f251(a914,a914),x90493),x90492)))
% 178.51/178.26 [9085]~P24(x90851,x90851,x90852,x90853)+E(f326(f309(x90851,x90851,x90852),x90853),x90853)+~P106(f326(f61(x90851),x90853))+~P106(f326(f326(f234(f922(x90851,a910)),f326(f309(x90851,x90851,x90852),x90853)),x90853))
% 178.51/178.26 [9300]P106(f326(f326(x93001,x93002),x93003))+P106(f326(f326(f235(a1),f771(x93001,x93003,x93002)),f772(x93001,x93003,x93002)))+P106(f326(f326(x93001,f771(x93001,x93003,x93002)),f326(f326(f79(a1),f772(x93001,x93003,x93002)),f77(a1))))+~P106(f326(f314(f921(a1,a1),a133),f326(f326(f251(a1,a1),x93002),x93003)))
% 178.51/178.26 [9317]P106(f326(f326(x93171,x93172),x93173))+~P106(f326(f326(f235(a1),f402(x93171,x93173,x93172)),f2(a1)))+P106(f326(f326(x93171,f326(f78(a1),f399(x93171,x93173,x93172))),f326(f78(a1),f402(x93171,x93173,x93172))))+~P106(f326(f314(f921(a1,a1),a221),f326(f326(f251(a1,a1),x93172),x93173)))
% 178.51/178.26 [9506]P106(f326(f326(x95061,x95062),x95063))+P106(f326(f326(x95061,f326(f326(f79(a1),f673(x95061,x95063,x95062)),f77(a1))),f679(x95061,x95063,x95062)))+~P106(f326(f326(f234(a1),f673(x95061,x95063,x95062)),f679(x95061,x95063,x95062)))+~P106(f326(f314(f921(a1,a1),a182),f326(f326(f251(a1,a1),x95062),x95063)))
% 178.51/178.26 [9947]~P62(x99472)+~P62(x99471)+~P106(f326(f56(f921(x99471,x99472)),x99473))+P106(f326(f56(x99471),f326(f326(f10(f922(x99472,a910),a910,x99471),f56(x99472)),f326(f326(f10(f922(x99472,f921(x99471,x99472)),f922(x99472,a910),x99471),f326(f10(f921(x99471,x99472),a910,x99472),x99473)),f251(x99471,x99472)))))
% 178.51/178.26 [9948]~P62(x99482)+~P62(x99481)+~P106(f326(f57(f921(x99481,x99482)),x99483))+P106(f326(f57(x99481),f326(f326(f10(f922(x99482,a910),a910,x99481),f57(x99482)),f326(f326(f10(f922(x99482,f921(x99481,x99482)),f922(x99482,a910),x99481),f326(f10(f921(x99481,x99482),a910,x99482),x99483)),f251(x99481,x99482)))))
% 178.51/178.26 [10043]~P62(x100432)+~P62(x100431)+P106(f326(f56(f921(x100431,x100432)),x100433))+~P106(f326(f56(x100431),f326(f326(f10(f922(x100432,a910),a910,x100431),f56(x100432)),f326(f326(f10(f922(x100432,f921(x100431,x100432)),f922(x100432,a910),x100431),f326(f10(f921(x100431,x100432),a910,x100432),x100433)),f251(x100431,x100432)))))
% 178.51/178.26 [10044]~P62(x100442)+~P62(x100441)+P106(f326(f57(f921(x100441,x100442)),x100443))+~P106(f326(f57(x100441),f326(f326(f10(f922(x100442,a910),a910,x100441),f57(x100442)),f326(f326(f10(f922(x100442,f921(x100441,x100442)),f922(x100442,a910),x100441),f326(f10(f921(x100441,x100442),a910,x100442),x100443)),f251(x100441,x100442)))))
% 178.51/178.26 [10203]E(f326(x102031,f354(x102032,x102031,x102033)),x102032)+~P106(f326(f326(f234(a1),x102032),f326(x102031,x102033)))+~P106(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x102031,f326(f326(f79(a914),f355(x102032,x102031,x102033)),f77(a914)))),f326(x102031,f355(x102032,x102031,x102033))))),f77(a1)))+~P106(f326(f326(f234(a1),f326(x102031,f2(a914))),x102032))
% 178.51/178.26 [10204]E(f326(x102041,f356(x102042,x102041,x102043)),x102042)+~P106(f326(f326(f234(a1),x102042),f326(x102041,x102043)))+~P106(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x102041,f326(f326(f79(a914),f357(x102042,x102041,x102043)),f77(a914)))),f326(x102041,f357(x102042,x102041,x102043))))),f77(a1)))+~P106(f326(f326(f234(a1),f326(x102041,f2(a914))),x102042))
% 178.51/178.26 [10207]~P106(f326(f326(f234(a1),x102071),f326(x102072,x102073)))+~P106(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x102072,f326(f326(f79(a914),f355(x102071,x102072,x102073)),f77(a914)))),f326(x102072,f355(x102071,x102072,x102073))))),f77(a1)))+P106(f326(f326(f234(a914),f354(x102071,x102072,x102073)),x102073))+~P106(f326(f326(f234(a1),f326(x102072,f2(a914))),x102071))
% 178.51/178.26 [10208]~P106(f326(f326(f234(a1),x102081),f326(x102082,x102083)))+~P106(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x102082,f326(f326(f79(a914),f357(x102081,x102082,x102083)),f77(a914)))),f326(x102082,f357(x102081,x102082,x102083))))),f77(a1)))+P106(f326(f326(f234(a914),f356(x102081,x102082,x102083)),x102083))+~P106(f326(f326(f234(a1),f326(x102082,f2(a914))),x102081))
% 178.51/178.26 [10267]E(x102671,x102672)+~E(f326(f142(f915(x102673),f915(x102673),f134(x102673),f113(x102673)),x102671),f326(f142(f915(x102673),f915(x102673),f134(x102673),f113(x102673)),x102672))+~E(f326(f189(f915(f915(x102673))),x102671),f326(f189(f915(f915(x102673))),x102672))+~P106(f326(f326(f256(f915(x102673),f915(x102673),a910),f326(f326(f9(f915(x102673),f922(f915(x102673),a914),f922(f915(x102673),a910)),f326(f326(f10(f922(a914,a910),f922(f922(f915(x102673),a914),f922(f915(x102673),a910)),f915(x102673)),f10(a914,a910,f915(x102673))),f326(f326(f10(a914,f922(a914,a910),f915(x102673)),a323),f189(f915(x102673))))),f189(f915(x102673)))),f703(x102671,x102672,x102673)))
% 178.51/178.26 [10268]E(x102681,x102682)+~E(f326(f142(f915(x102683),f915(x102683),f134(x102683),f113(x102683)),x102681),f326(f142(f915(x102683),f915(x102683),f134(x102683),f113(x102683)),x102682))+~E(f326(f189(f915(f915(x102683))),x102681),f326(f189(f915(f915(x102683))),x102682))+~P106(f326(f326(f256(f915(x102683),f915(x102683),a910),f326(f326(f9(f915(x102683),f922(f915(x102683),a914),f922(f915(x102683),a910)),f326(f326(f10(f922(a914,a910),f922(f922(f915(x102683),a914),f922(f915(x102683),a910)),f915(x102683)),f10(a914,a910,f915(x102683))),f326(f326(f10(a914,f922(a914,a910),f915(x102683)),a323),f189(f915(x102683))))),f189(f915(x102683)))),f704(x102682,x102681,x102683)))
% 178.51/178.26 [7011]~E(f77(a914),f2(a914))+~P106(f326(f61(x70111),x70113))+~P106(f326(f61(x70111),x70112))+E(f326(f326(f79(a914),f326(f35(x70111),x70112)),f326(f35(x70111),x70113)),f326(f35(x70111),f326(f326(f110(f922(x70111,a910)),x70112),x70113)))
% 178.51/178.26 [7422]~P102(x74221)+~P106(f326(f61(x74221),x74222))+~P106(f326(f326(f328(x74221),x74223),x74222))+P106(f326(f326(f234(x74221),f326(f63(x74221,f101(x74221)),x74222)),x74223))
% 178.51/178.26 [7423]~P109(x74231)+~P106(f326(f61(x74231),x74232))+~P106(f326(f326(f328(x74231),x74233),x74232))+P106(f326(f326(f234(x74231),f326(f63(x74231,f232(x74231)),x74232)),x74233))
% 178.51/178.26 [7673]~P106(f326(f61(x76731),x76733))+~P106(f326(f61(x76731),x76732))+~E(f326(f326(f101(f922(x76731,a910)),x76732),x76733),f188(f922(x76731,a910)))+E(f326(f326(f79(a914),f326(f35(x76731),x76732)),f326(f35(x76731),x76733)),f326(f35(x76731),f326(f326(f110(f922(x76731,a910)),x76732),x76733)))
% 178.51/178.26 [8444]~P37(x84441,x84443)+~P37(x84441,x84442)+~E(f326(f326(f101(f922(x84441,a910)),f326(f263(x84441,x84441),x84442)),f326(f283(x84441,x84441),x84443)),f188(f922(x84441,a910)))+P37(x84441,f326(f326(f110(f922(f921(x84441,x84441),a910)),x84442),x84443))
% 178.51/178.26 [8539]E(x85391,f326(f326(f36(a914),x85392),x85393))+~P106(f326(f326(f235(a914),f2(a914)),x85393))+~P106(f326(f326(f235(a914),x85392),f326(f326(f80(a914),x85393),f326(a112,x85391))))+~P106(f326(f326(f234(a914),f326(f326(f80(a914),x85393),x85391)),x85392))
% 178.51/178.26 [8669]~P106(f326(f61(x86691),x86692))+~P106(f326(f61(x86691),x86693))+E(f326(f326(f79(a914),f326(f35(x86691),x86692)),f326(f35(x86691),x86693)),f326(f35(x86691),f326(f326(f110(f922(x86691,a910)),x86692),x86693)))+P106(f326(f326(f328(x86691),f884(x86693,x86692,x86691)),f326(f326(f101(f922(x86691,a910)),x86692),x86693)))
% 178.51/178.26 [9061]~P126(x90612)+~E(x90611,f2(x90612))+~E(x90613,f2(x90612))+~P106(f326(f326(f235(x90612),f2(x90612)),f326(f326(f79(x90612),f326(f326(f80(x90612),x90613),x90613)),f326(f326(f80(x90612),x90611),x90611))))
% 178.51/178.26 [9585]~P37(x95851,x95853)+~P37(x95851,x95852)+P37(x95851,f326(f326(f110(f922(f921(x95851,x95851),a910)),x95852),x95853))+~P106(f326(f326(f234(f922(f921(x95851,x95851),a910)),f326(f326(f288(x95851,x95851,x95851),x95852),x95853)),x95852))
% 178.51/178.26 [9723]~P106(f326(x97231,x97233))+~P106(f326(f61(x97232),x97233))+P106(f326(x97231,f188(f922(x97232,a910))))+~P106(f326(x97231,f326(f326(f3(f922(x97232,a910)),f508(x97231,x97233,x97232)),f326(f326(f308(x97232),f488(x97231,x97233,x97232)),f188(f922(x97232,a910))))))
% 178.51/178.26 [8844]~P106(f326(f326(f235(a1),f2(a1)),x88443))+P106(f326(f326(f234(a1),f2(a1)),x88441))+~P106(f326(f326(f235(a1),x88442),x88443))+~P106(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),f326(f326(f80(a1),x88443),x88441)),x88442)))
% 178.51/178.26 [8868]~P78(x88681)+~P106(f326(f61(x88681),x88682))+E(f326(f326(f3(f922(x88681,a910)),x88682),f326(f326(f308(x88681),x88683),f188(f922(x88681,a910)))),f188(f922(x88681,a910)))+E(f326(f326(f110(x88681),x88683),f12(x88681,f326(f326(f3(f922(x88681,a910)),x88682),f326(f326(f308(x88681),x88683),f188(f922(x88681,a910)))))),f12(x88681,f326(f326(f308(x88681),x88683),x88682)))
% 178.51/178.26 [8869]~P78(x88691)+~P106(f326(f61(x88691),x88692))+E(f326(f326(f3(f922(x88691,a910)),x88692),f326(f326(f308(x88691),x88693),f188(f922(x88691,a910)))),f188(f922(x88691,a910)))+E(f326(f326(f101(x88691),x88693),f13(x88691,f326(f326(f3(f922(x88691,a910)),x88692),f326(f326(f308(x88691),x88693),f188(f922(x88691,a910)))))),f13(x88691,f326(f326(f308(x88691),x88693),x88692)))
% 178.51/178.26 [8870]~P109(x88701)+~P106(f326(f61(x88701),x88702))+E(f326(f326(f3(f922(x88701,a910)),x88702),f326(f326(f308(x88701),x88703),f188(f922(x88701,a910)))),f188(f922(x88701,a910)))+E(f326(f326(f232(x88701),x88703),f16(x88701,f326(f326(f3(f922(x88701,a910)),x88702),f326(f326(f308(x88701),x88703),f188(f922(x88701,a910)))))),f16(x88701,f326(f326(f308(x88701),x88703),x88702)))
% 178.51/178.26 [8871]~P109(x88711)+~P106(f326(f61(x88711),x88712))+E(f326(f326(f3(f922(x88711,a910)),x88712),f326(f326(f308(x88711),x88713),f188(f922(x88711,a910)))),f188(f922(x88711,a910)))+E(f326(f326(f233(x88711),x88713),f17(x88711,f326(f326(f3(f922(x88711,a910)),x88712),f326(f326(f308(x88711),x88713),f188(f922(x88711,a910)))))),f17(x88711,f326(f326(f308(x88711),x88713),x88712)))
% 178.51/178.26 [8943]~P109(x89431)+~P106(f326(f61(x89431),x89432))+E(f326(f326(f3(f922(x89431,a910)),x89432),f326(f326(f308(x89431),x89433),f188(f922(x89431,a910)))),f188(f922(x89431,a910)))+E(f326(f326(f232(x89431),x89433),f14(x89431,f232(x89431),f326(f326(f3(f922(x89431,a910)),x89432),f326(f326(f308(x89431),x89433),f188(f922(x89431,a910)))))),f14(x89431,f232(x89431),f326(f326(f308(x89431),x89433),x89432)))
% 178.51/178.26 [8944]~P109(x89441)+~P106(f326(f61(x89441),x89442))+E(f326(f326(f3(f922(x89441,a910)),x89442),f326(f326(f308(x89441),x89443),f188(f922(x89441,a910)))),f188(f922(x89441,a910)))+E(f326(f326(f233(x89441),x89443),f15(x89441,f233(x89441),f326(f326(f3(f922(x89441,a910)),x89442),f326(f326(f308(x89441),x89443),f188(f922(x89441,a910)))))),f15(x89441,f233(x89441),f326(f326(f308(x89441),x89443),x89442)))
% 178.51/178.26 [9525]E(x95251,x95252)+~E(f326(f142(f915(x95253),f915(x95253),f134(x95253),f113(x95253)),x95251),f326(f142(f915(x95253),f915(x95253),f134(x95253),f113(x95253)),x95252))+~E(f326(f189(f915(f915(x95253))),x95251),f326(f189(f915(f915(x95253))),x95252))+P106(f326(f326(f328(f921(f915(x95253),f915(x95253))),f703(x95251,x95252,x95253)),f326(f172(f921(f915(x95253),f915(x95253))),f326(f326(f181(f915(x95253),f915(x95253)),x95252),x95251))))
% 178.51/178.26 [9526]E(x95261,x95262)+~E(f326(f142(f915(x95263),f915(x95263),f134(x95263),f113(x95263)),x95261),f326(f142(f915(x95263),f915(x95263),f134(x95263),f113(x95263)),x95262))+~E(f326(f189(f915(f915(x95263))),x95261),f326(f189(f915(f915(x95263))),x95262))+P106(f326(f326(f328(f921(f915(x95263),f915(x95263))),f704(x95262,x95261,x95263)),f326(f172(f921(f915(x95263),f915(x95263))),f326(f326(f181(f915(x95263),f915(x95263)),x95261),x95262))))
% 178.51/178.26 [10383]~P99(x103832)+E(x103831,f188(f922(x103832,a910)))+~P106(f326(f61(x103832),x103831))+E(f13(x103832,f326(f261(x103832),f326(f326(f10(f922(x103832,a910),a910,x103832),f86(x103832)),f326(f326(f9(x103832,f922(x103832,a910),f922(x103832,a910)),f326(f326(f10(f922(x103832,f922(a910,a910)),f922(f922(x103832,a910),f922(x103832,a910)),x103832),f20(x103832,a910,a910)),f326(f326(f10(f922(x103832,a910),f922(x103832,f922(a910,a910)),x103832),f326(f10(a910,f922(a910,a910),x103832),a325)),f326(f326(f9(x103832,f922(x103832,x103832),f922(x103832,a910)),f326(f326(f10(f922(x103832,a910),f922(f922(x103832,x103832),f922(x103832,a910)),x103832),f10(x103832,a910,x103832)),a323)),f326(f110(x103832),x103833))))),f326(f326(f9(x103832,f922(x103832,a910),a910),f328(x103832)),x103831))))),f326(f326(f110(x103832),x103833),f13(x103832,x103831)))
% 178.51/178.26 [10384]~P99(x103842)+E(x103841,f188(f922(x103842,a910)))+~P106(f326(f61(x103842),x103841))+E(f12(x103842,f326(f261(x103842),f326(f326(f10(f922(x103842,a910),a910,x103842),f86(x103842)),f326(f326(f9(x103842,f922(x103842,a910),f922(x103842,a910)),f326(f326(f10(f922(x103842,f922(a910,a910)),f922(f922(x103842,a910),f922(x103842,a910)),x103842),f20(x103842,a910,a910)),f326(f326(f10(f922(x103842,a910),f922(x103842,f922(a910,a910)),x103842),f326(f10(a910,f922(a910,a910),x103842),a325)),f326(f326(f9(x103842,f922(x103842,x103842),f922(x103842,a910)),f326(f326(f10(f922(x103842,a910),f922(f922(x103842,x103842),f922(x103842,a910)),x103842),f10(x103842,a910,x103842)),a323)),f326(f101(x103842),x103843))))),f326(f326(f9(x103842,f922(x103842,a910),a910),f328(x103842)),x103841))))),f326(f326(f101(x103842),x103843),f12(x103842,x103841)))
% 178.51/178.26 [10385]~P77(x103852)+E(x103851,f188(f922(x103852,a910)))+~P106(f326(f61(x103852),x103851))+E(f16(x103852,f326(f261(x103852),f326(f326(f10(f922(x103852,a910),a910,x103852),f86(x103852)),f326(f326(f9(x103852,f922(x103852,a910),f922(x103852,a910)),f326(f326(f10(f922(x103852,f922(a910,a910)),f922(f922(x103852,a910),f922(x103852,a910)),x103852),f20(x103852,a910,a910)),f326(f326(f10(f922(x103852,a910),f922(x103852,f922(a910,a910)),x103852),f326(f10(a910,f922(a910,a910),x103852),a325)),f326(f326(f9(x103852,f922(x103852,x103852),f922(x103852,a910)),f326(f326(f10(f922(x103852,a910),f922(f922(x103852,x103852),f922(x103852,a910)),x103852),f10(x103852,a910,x103852)),a323)),f326(f79(x103852),x103853))))),f326(f326(f9(x103852,f922(x103852,a910),a910),f328(x103852)),x103851))))),f326(f326(f79(x103852),x103853),f16(x103852,x103851)))
% 178.51/178.26 [10386]~P77(x103862)+E(x103861,f188(f922(x103862,a910)))+~P106(f326(f61(x103862),x103861))+E(f17(x103862,f326(f261(x103862),f326(f326(f10(f922(x103862,a910),a910,x103862),f86(x103862)),f326(f326(f9(x103862,f922(x103862,a910),f922(x103862,a910)),f326(f326(f10(f922(x103862,f922(a910,a910)),f922(f922(x103862,a910),f922(x103862,a910)),x103862),f20(x103862,a910,a910)),f326(f326(f10(f922(x103862,a910),f922(x103862,f922(a910,a910)),x103862),f326(f10(a910,f922(a910,a910),x103862),a325)),f326(f326(f9(x103862,f922(x103862,x103862),f922(x103862,a910)),f326(f326(f10(f922(x103862,a910),f922(f922(x103862,x103862),f922(x103862,a910)),x103862),f10(x103862,a910,x103862)),a323)),f326(f79(x103862),x103863))))),f326(f326(f9(x103862,f922(x103862,a910),a910),f328(x103862)),x103861))))),f326(f326(f79(x103862),x103863),f17(x103862,x103861)))
% 178.51/178.26 [10387]~P109(x103872)+E(x103871,f188(f922(x103872,a910)))+~P106(f326(f61(x103872),x103871))+E(f15(x103872,f233(x103872),f326(f261(x103872),f326(f326(f10(f922(x103872,a910),a910,x103872),f86(x103872)),f326(f326(f9(x103872,f922(x103872,a910),f922(x103872,a910)),f326(f326(f10(f922(x103872,f922(a910,a910)),f922(f922(x103872,a910),f922(x103872,a910)),x103872),f20(x103872,a910,a910)),f326(f326(f10(f922(x103872,a910),f922(x103872,f922(a910,a910)),x103872),f326(f10(a910,f922(a910,a910),x103872),a325)),f326(f326(f9(x103872,f922(x103872,x103872),f922(x103872,a910)),f326(f326(f10(f922(x103872,a910),f922(f922(x103872,x103872),f922(x103872,a910)),x103872),f10(x103872,a910,x103872)),a323)),f326(f232(x103872),x103873))))),f326(f326(f9(x103872,f922(x103872,a910),a910),f328(x103872)),x103871))))),f326(f326(f232(x103872),x103873),f15(x103872,f233(x103872),x103871)))
% 178.51/178.26 [10388]~P109(x103882)+E(x103881,f188(f922(x103882,a910)))+~P106(f326(f61(x103882),x103881))+E(f14(x103882,f232(x103882),f326(f261(x103882),f326(f326(f10(f922(x103882,a910),a910,x103882),f86(x103882)),f326(f326(f9(x103882,f922(x103882,a910),f922(x103882,a910)),f326(f326(f10(f922(x103882,f922(a910,a910)),f922(f922(x103882,a910),f922(x103882,a910)),x103882),f20(x103882,a910,a910)),f326(f326(f10(f922(x103882,a910),f922(x103882,f922(a910,a910)),x103882),f326(f10(a910,f922(a910,a910),x103882),a325)),f326(f326(f9(x103882,f922(x103882,x103882),f922(x103882,a910)),f326(f326(f10(f922(x103882,a910),f922(f922(x103882,x103882),f922(x103882,a910)),x103882),f10(x103882,a910,x103882)),a323)),f326(f233(x103882),x103883))))),f326(f326(f9(x103882,f922(x103882,a910),a910),f328(x103882)),x103881))))),f326(f326(f233(x103882),x103883),f14(x103882,f232(x103882),x103881)))
% 178.51/178.26 [10109]~P119(x101091)+~E(x101093,f2(x101091))+~E(x101092,f2(x101091))+E(f326(f326(f79(x101091),f326(f326(f243(x101091),x101092),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x101091),x101093),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f2(x101091))
% 178.51/178.26 [10248]~P125(x102481)+~P106(f326(f326(f234(x102481),f2(x102481)),x102483))+P106(f326(f326(f234(x102481),x102482),x102483))+~P106(f326(f326(f234(x102481),f326(f326(f243(x102481),x102482),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x102481),x102483),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 178.51/178.26 [10308]~P119(x103082)+~E(x103081,f2(x103082))+~E(x103083,f2(x103082))+~P106(f326(f326(f235(x103082),f2(x103082)),f326(f326(f79(x103082),f326(f326(f243(x103082),x103083),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103082),x103081),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))))
% 178.51/178.26 [6892]~P6(x68923,x68922)+~P106(f326(x68921,x68924))+~P106(f326(f326(f328(x68923),x68924),f269(x68923,x68922)))+P106(f326(x68921,f822(x68921,x68922,x68923)))
% 178.51/178.26 [8779]P25(x87791,x87792,f826(x87793,x87792,x87794,x87791),x87794,x87793)+~E(f326(f35(x87791),x87794),f326(f35(x87792),x87793))+~P106(f326(f61(x87792),x87793))+~P106(f326(f61(x87791),x87794))
% 178.51/178.26 [9488]E(x94881,x94882)+~E(f656(x94881,x94882,x94884,x94883),f657(x94881,x94882,x94884,x94883))+P106(f326(f326(f328(f921(f915(x94883),f915(x94883))),f326(f326(f251(f915(x94883),f915(x94883)),x94882),x94881)),f147(x94883,x94884)))+P106(f326(f326(f328(f921(f915(x94883),f915(x94883))),f326(f326(f251(f915(x94883),f915(x94883)),x94881),x94882)),f147(x94883,x94884)))
% 178.51/178.26 [5024]~P63(x50242)+~E(x50244,f2(x50242))+~E(x50241,f2(x50242))+E(x50241,f326(f326(f289(x50242),x50243),x50244))
% 178.51/178.26 [5025]~P63(x50251)+~E(x50253,f2(x50251))+~E(x50254,f2(x50251))+E(f326(f326(f289(x50251),x50252),x50253),x50254)
% 178.51/178.26 [5145]~P63(x51452)+E(x51451,f2(x51452))+~E(x51453,f2(x51452))+~E(x51451,f326(f326(f289(x51452),x51454),x51453))
% 178.51/178.26 [5146]~P63(x51462)+E(x51461,f2(x51462))+~E(x51463,f2(x51462))+~E(f326(f326(f289(x51462),x51464),x51463),x51461)
% 178.51/178.26 [5330]~P122(x53302)+E(x53301,f2(x53302))+~E(f326(f326(f289(x53302),x53303),x53301),x53304)+E(x53303,f326(f326(f80(x53302),x53304),x53301))
% 178.51/178.26 [5332]~P122(x53322)+E(x53321,f2(x53322))+~E(f326(f326(f80(x53322),x53323),x53321),x53324)+E(x53323,f326(f326(f289(x53322),x53324),x53321))
% 178.51/178.26 [5333]~P63(x53332)+E(x53331,f2(x53332))+~E(f326(f326(f289(x53332),x53333),x53331),x53334)+E(x53333,f326(f326(f80(x53332),x53334),x53331))
% 178.51/178.26 [5334]~P63(x53342)+E(x53341,f2(x53342))+~E(f326(f326(f80(x53342),x53343),x53341),x53344)+E(x53343,f326(f326(f289(x53342),x53344),x53341))
% 178.51/178.26 [5335]~P122(x53352)+E(x53351,f2(x53352))+~E(x53353,f326(f326(f289(x53352),x53354),x53351))+E(f326(f326(f80(x53352),x53353),x53351),x53354)
% 178.51/178.26 [5337]~P122(x53372)+E(x53371,f2(x53372))+~E(x53373,f326(f326(f80(x53372),x53374),x53371))+E(f326(f326(f289(x53372),x53373),x53371),x53374)
% 178.51/178.26 [5338]~P63(x53382)+E(x53381,f2(x53382))+~E(x53383,f326(f326(f289(x53382),x53384),x53381))+E(f326(f326(f80(x53382),x53383),x53381),x53384)
% 178.51/178.26 [5339]~P63(x53392)+E(x53391,f2(x53392))+~E(x53393,f326(f326(f80(x53392),x53394),x53391))+E(f326(f326(f289(x53392),x53393),x53391),x53394)
% 178.51/178.26 [5363]~P63(x53632)+~E(x53631,f2(x53632))+~E(f326(f326(f80(x53632),x53631),x53634),x53633)+E(x53631,f326(f326(f289(x53632),x53633),x53634))
% 178.51/178.26 [5364]~P63(x53641)+~E(x53644,f2(x53641))+~E(x53642,f326(f326(f80(x53641),x53644),x53643))+E(f326(f326(f289(x53641),x53642),x53643),x53644)
% 178.51/178.26 [5439]~E(x54393,x54394)+~E(x54392,x54393)+~P110(x54391)+E(f302(x54391,x54392,x54393),f326(f326(f308(x54391),x54394),f188(f922(x54391,a910))))
% 178.51/178.26 [5644]~E(f114(x56442,x56441),x56443)+~E(f144(x56442,x56441),x56444)+E(x56441,f113(x56442))+E(f326(f326(f134(x56442),x56443),f326(f326(f151(x56442),x56444),f113(x56442))),x56441)
% 178.51/178.26 [6279]~P125(x62793)+E(x62791,x62792)+~E(f326(f326(f243(x62793),x62794),x62791),f326(f326(f243(x62793),x62794),x62792))+~P106(f326(f326(f235(x62793),f77(x62793)),x62794))
% 178.51/178.26 [6280]E(x62801,x62802)+~E(f326(f326(f308(x62803),x62804),x62801),f326(f326(f308(x62803),x62804),x62802))+P106(f326(f326(f328(x62803),x62804),x62802))+P106(f326(f326(f328(x62803),x62804),x62801))
% 178.51/178.26 [6323]E(f326(x63231,x63232),f77(a914))+~E(f326(f326(f11(x63233,a914),x63231),x63234),f77(a914))+~P106(f326(f61(x63233),x63234))+~P106(f326(f326(f328(x63233),x63232),x63234))
% 178.51/178.26 [6324]E(f326(x63241,x63242),f2(a914))+~E(f326(f326(f8(x63243,a914),x63241),x63244),f2(a914))+~P106(f326(f61(x63243),x63244))+~P106(f326(f326(f328(x63243),x63242),x63244))
% 178.51/178.26 [6546]~P110(x65461)+~P106(f326(f326(f234(x65461),x65464),x65463))+P106(f326(f326(f234(x65461),x65462),x65463))+~P106(f326(f326(f234(x65461),x65462),x65464))
% 178.51/178.26 [6547]~P107(x65471)+~P106(f326(f326(f234(x65471),x65472),x65474))+P106(f326(f326(f234(x65471),x65472),x65473))+~P106(f326(f326(f234(x65471),x65474),x65473))
% 178.51/178.26 [6548]~P110(x65481)+~P106(f326(f326(f235(x65481),x65484),x65483))+P106(f326(f326(f235(x65481),x65482),x65483))+~P106(f326(f326(f234(x65481),x65482),x65484))
% 178.51/178.26 [6549]~P110(x65491)+~P106(f326(f326(f235(x65491),x65492),x65494))+P106(f326(f326(f235(x65491),x65492),x65493))+~P106(f326(f326(f234(x65491),x65494),x65493))
% 178.51/178.26 [6550]~P110(x65501)+~P106(f326(f326(f235(x65501),x65504),x65503))+P106(f326(f326(f235(x65501),x65502),x65503))+~P106(f326(f326(f235(x65501),x65502),x65504))
% 178.51/178.26 [6551]~P107(x65511)+~P106(f326(f326(f235(x65511),x65512),x65514))+P106(f326(f326(f235(x65511),x65512),x65513))+~P106(f326(f326(f234(x65511),x65514),x65513))
% 178.51/178.26 [6552]~P107(x65521)+~P106(f326(f326(f235(x65521),x65524),x65523))+P106(f326(f326(f235(x65521),x65522),x65523))+~P106(f326(f326(f234(x65521),x65522),x65524))
% 178.51/178.26 [6553]~P107(x65531)+~P106(f326(f326(f235(x65531),x65532),x65534))+P106(f326(f326(f235(x65531),x65532),x65533))+~P106(f326(f326(f235(x65531),x65534),x65533))
% 178.51/178.26 [6554]~P113(x65541)+~P106(f326(f326(f286(x65541),x65542),x65544))+P106(f326(f326(f286(x65541),x65542),x65543))+~P106(f326(f326(f286(x65541),x65544),x65543))
% 178.51/178.26 [6635]~P35(x66354,x66353,x66352)+E(x66351,f757(x66352,x66353,x66354))+~P106(f326(x66353,x66351))+~P106(f326(f326(f328(x66354),x66351),f326(f172(x66354),x66352)))
% 178.51/178.26 [6636]~P35(x66364,x66363,x66362)+E(x66361,f767(x66362,x66363,x66364))+~P106(f326(x66363,x66361))+~P106(f326(f326(f328(x66364),x66361),f326(f172(x66364),x66362)))
% 178.51/178.26 [6785]~P4(x67851)+~P106(f326(f326(f234(x67851),x67852),f38(x67851,x67854)))+P106(f326(f326(f234(x67851),x67852),x67853))+~P106(f326(f326(f328(x67851),x67853),x67854))
% 178.51/178.26 [6932]~P109(x69321)+~P12(x69321,f326(f326(f151(x69321),x69322),x69324))+~P106(f326(f326(f328(x69321),x69323),f326(f172(x69321),x69324)))+P106(f326(f326(f234(x69321),x69322),x69323))
% 178.51/178.26 [7021]~P4(x70211)+~P106(f326(f326(f234(x70211),f37(x70211,x70214)),x70213))+P106(f326(f326(f234(x70211),x70212),x70213))+~P106(f326(f326(f328(x70211),x70212),x70214))
% 178.51/178.26 [7425]~P109(x74251)+E(f326(f326(f110(f922(x74251,a910)),f326(f301(x74251,x74252),x74253)),f326(f301(x74251,x74253),x74254)),f326(f301(x74251,x74252),x74254))+~P106(f326(f326(f234(x74251),x74253),x74254))+~P106(f326(f326(f234(x74251),x74252),x74253))
% 178.51/178.26 [7469]P35(x74691,x74692,x74693)+~E(f768(x74693,x74692,x74691,x74694),x74694)+~P106(f326(x74692,x74694))+~P106(f326(f326(f328(x74691),x74694),f326(f172(x74691),x74693)))
% 178.51/178.26 [7470]P35(x74701,x74702,x74703)+~E(f776(x74703,x74702,x74701,x74704),x74704)+~P106(f326(x74702,x74704))+~P106(f326(f326(f328(x74701),x74704),f326(f172(x74701),x74703)))
% 178.51/178.26 [7544]~P109(x75441)+E(f326(f326(f110(f922(x75441,a910)),f326(f301(x75441,x75442),x75443)),f302(x75441,x75443,x75444)),f302(x75441,x75442,x75444))+~P106(f326(f326(f234(x75441),x75443),x75444))+~P106(f326(f326(f234(x75441),x75442),x75443))
% 178.51/178.26 [7606]~P109(x76061)+E(f326(f326(f110(f922(x76061,a910)),f305(x76061,x76062,x76063)),f326(f301(x76061,x76063),x76064)),f305(x76061,x76062,x76064))+~P106(f326(f326(f234(x76061),x76063),x76064))+~P106(f326(f326(f235(x76061),x76062),x76063))
% 178.51/178.26 [7623]~P109(x76231)+E(f326(f326(f110(f922(x76231,a910)),f302(x76231,x76232,x76233)),f305(x76231,x76233,x76234)),f326(f301(x76231,x76232),x76234))+~P106(f326(f326(f234(x76231),x76232),x76233))+~P106(f326(f326(f235(x76231),x76233),x76234))
% 178.51/178.26 [7654]~P109(x76541)+E(f326(f326(f110(f922(x76541,a910)),f302(x76541,x76542,x76543)),f304(x76541,x76543,x76544)),f302(x76541,x76542,x76544))+~P106(f326(f326(f234(x76541),x76543),x76544))+~P106(f326(f326(f234(x76541),x76542),x76543))
% 178.51/178.26 [7655]~P109(x76551)+E(f326(f326(f110(f922(x76551,a910)),f305(x76551,x76552,x76553)),f302(x76551,x76553,x76554)),f304(x76551,x76552,x76554))+~P106(f326(f326(f234(x76551),x76553),x76554))+~P106(f326(f326(f235(x76551),x76552),x76553))
% 178.51/178.26 [7656]~P109(x76561)+E(f326(f326(f110(f922(x76561,a910)),f304(x76561,x76562,x76563)),f305(x76561,x76563,x76564)),f305(x76561,x76562,x76564))+~P106(f326(f326(f234(x76561),x76562),x76563))+~P106(f326(f326(f235(x76561),x76563),x76564))
% 178.51/178.26 [7657]~P109(x76571)+E(f326(f326(f110(f922(x76571,a910)),f304(x76571,x76572,x76573)),f304(x76571,x76573,x76574)),f304(x76571,x76572,x76574))+~P106(f326(f326(f234(x76571),x76573),x76574))+~P106(f326(f326(f234(x76571),x76572),x76573))
% 178.51/178.26 [8428]P24(x84281,x84282,f527(x84283,x84282,x84284,x84281),x84284)+~P106(f326(f61(x84282),x84283))+~P106(f326(f61(x84281),x84284))+~P106(f326(f326(f234(a914),f326(f35(x84281),x84284)),f326(f35(x84282),x84283)))
% 178.51/178.26 [8449]P35(x84491,x84492,x84493)+~P106(f326(x84492,x84494))+P106(f326(x84492,f768(x84493,x84492,x84491,x84494)))+~P106(f326(f326(f328(x84491),x84494),f326(f172(x84491),x84493)))
% 178.51/178.26 [8450]P35(x84501,x84502,x84503)+~P106(f326(x84502,x84504))+P106(f326(x84502,f776(x84503,x84502,x84501,x84504)))+~P106(f326(f326(f328(x84501),x84504),f326(f172(x84501),x84503)))
% 178.51/178.26 [8504]~P75(x85041)+~E(f326(x85043,f871(x85043,x85044,x85042,x85041)),f77(x85041))+E(f326(f326(f326(f65(x85041,x85042,f80(x85041)),x85043),f77(x85041)),x85044),f77(x85041))+~P106(f326(f61(x85042),x85044))
% 178.51/178.26 [8768]~P125(x87681)+~P106(f326(f326(f234(x87681),f2(x87681)),x87683))+P106(f326(f326(f234(x87681),x87682),x87683))+~P106(f326(f326(f234(x87681),f326(f326(f243(x87681),x87682),f326(a112,x87684))),f326(f326(f243(x87681),x87683),f326(a112,x87684))))
% 178.51/178.26 [9086]P35(x90861,x90862,x90863)+~P106(f326(x90862,x90864))+~P106(f326(f326(f328(x90861),x90864),f326(f172(x90861),x90863)))+P106(f326(f326(f328(x90861),f768(x90863,x90862,x90861,x90864)),f326(f172(x90861),x90863)))
% 178.51/178.26 [9087]P35(x90871,x90872,x90873)+~P106(f326(x90872,x90874))+~P106(f326(f326(f328(x90871),x90874),f326(f172(x90871),x90873)))+P106(f326(f326(f328(x90871),f776(x90873,x90872,x90871,x90874)),f326(f172(x90871),x90873)))
% 178.51/178.26 [9163]~P75(x91631)+E(f326(f326(f326(f65(x91631,x91632,f80(x91631)),x91633),f77(x91631)),x91634),f77(x91631))+~P106(f326(f61(x91632),x91634))+P106(f326(f326(f328(x91632),f871(x91633,x91634,x91632,x91631)),x91634))
% 178.51/178.26 [9660]~P106(f326(f326(f286(a914),x96601),x96603))+~P106(f326(f326(f286(a914),x96601),x96602))+~P106(f326(f326(f286(a914),x96604),x96603))+~P106(f326(f326(f235(f922(a914,a910)),f295(a914,f286(a914),x96601,x96603)),f295(a914,f286(a914),x96602,x96604)))
% 178.51/178.26 [9665]~P106(f326(f326(f234(a1),x96654),f2(a1)))+P106(f326(f326(f234(a1),f326(f326(f79(a1),f326(f326(f80(a1),x96651),f45(a1,x96652,x96653))),x96654)),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x96653))+~P106(f326(f326(f235(a1),x96651),x96654))
% 178.51/178.26 [10102]~P106(f326(f61(x101021),x101022))+~P106(f326(f326(f328(x101021),x101024),x101022))+~P106(f326(f326(f328(x101021),x101023),x101022))+P106(f326(f326(f235(a914),f326(f35(x101021),f326(f326(f3(f922(x101021,a910)),f326(f326(f3(f922(x101021,a910)),x101022),f326(f326(f308(x101021),x101023),f188(f922(x101021,a910))))),f326(f326(f308(x101021),x101024),f188(f922(x101021,a910)))))),f326(f35(x101021),x101022)))
% 178.51/178.26 [7133]~P102(x71331)+~P106(f326(f326(f234(x71331),x71332),x71334))+~P106(f326(f326(f234(x71331),x71332),x71333))+P106(f326(f326(f234(x71331),x71332),f326(f326(f101(x71331),x71333),x71334)))
% 178.51/178.26 [7136]~P109(x71361)+~P106(f326(f326(f234(x71361),x71362),x71364))+~P106(f326(f326(f234(x71361),x71362),x71363))+P106(f326(f326(f234(x71361),x71362),f326(f326(f232(x71361),x71363),x71364)))
% 178.51/178.26 [7137]~P109(x71371)+~P106(f326(f326(f235(x71371),x71372),x71374))+~P106(f326(f326(f235(x71371),x71372),x71373))+P106(f326(f326(f235(x71371),x71372),f326(f326(f232(x71371),x71373),x71374)))
% 178.51/178.26 [7138]~P115(x71381)+~P106(f326(f326(f286(x71381),x71382),x71384))+~P106(f326(f326(f286(x71381),x71382),x71383))+P106(f326(f326(f286(x71381),x71382),f326(f326(f3(x71381),x71383),x71384)))
% 178.51/178.26 [7139]~P113(x71391)+~P106(f326(f326(f286(x71391),x71392),x71394))+~P106(f326(f326(f286(x71391),x71392),x71393))+P106(f326(f326(f286(x71391),x71392),f326(f326(f79(x71391),x71393),x71394)))
% 178.51/178.26 [7159]~P64(x71592)+E(x71591,f2(x71592))+E(f326(f326(f289(x71592),f326(f326(f243(x71592),x71591),x71593)),f326(f326(f243(x71592),x71591),x71594)),f326(f326(f243(x71592),x71591),f326(f326(f3(a914),x71593),x71594)))+~P106(f326(f326(f234(a914),x71594),x71593))
% 178.51/178.26 [7204]~P109(x72041)+~P12(x72041,f326(f326(f151(x72041),x72043),x72044))+P12(x72041,f326(f326(f151(x72041),x72042),f326(f326(f151(x72041),x72043),x72044)))+~P106(f326(f326(f234(x72041),x72042),x72043))
% 178.51/178.26 [7241]~P89(x72411)+~P106(f326(f326(f234(x72411),f2(x72411)),x72414))+~P106(f326(f326(f234(x72411),x72412),x72413))+P106(f326(f326(f234(x72411),x72412),f326(f326(f79(x72411),x72413),x72414)))
% 178.51/178.26 [7242]~P89(x72421)+~P106(f326(f326(f234(x72421),f2(x72421)),x72423))+~P106(f326(f326(f234(x72421),x72422),x72424))+P106(f326(f326(f234(x72421),x72422),f326(f326(f79(x72421),x72423),x72424)))
% 178.51/178.26 [7243]~P125(x72431)+~P106(f326(f326(f235(x72431),f2(x72431)),x72433))+~P106(f326(f326(f235(x72431),x72432),x72434))+P106(f326(f326(f235(x72431),x72432),f326(f326(f79(x72431),x72433),x72434)))
% 178.51/178.26 [7244]~P89(x72441)+~P106(f326(f326(f234(x72441),x72442),x72444))+~P106(f326(f326(f235(x72441),f2(x72441)),x72443))+P106(f326(f326(f235(x72441),x72442),f326(f326(f79(x72441),x72443),x72444)))
% 178.51/178.26 [7245]~P89(x72451)+~P106(f326(f326(f234(x72451),f2(x72451)),x72453))+~P106(f326(f326(f235(x72451),x72452),x72454))+P106(f326(f326(f235(x72451),x72452),f326(f326(f79(x72451),x72453),x72454)))
% 178.51/178.26 [7286]~P109(x72861)+P106(f326(f326(f234(x72861),x72862),x72863))+P106(f326(f326(f234(x72861),x72862),x72864))+~P106(f326(f326(f234(x72861),x72862),f326(f326(f233(x72861),x72864),x72863)))
% 178.51/178.26 [7287]~P109(x72871)+P106(f326(f326(f235(x72871),x72872),x72873))+P106(f326(f326(f235(x72871),x72872),x72874))+~P106(f326(f326(f235(x72871),x72872),f326(f326(f233(x72871),x72874),x72873)))
% 178.51/178.26 [7577]~P110(x75772)+~P62(x75771)+~P106(f326(f326(f235(f922(x75771,x75772)),x75773),x75774))+P106(f326(f326(f234(f922(x75771,x75772)),x75773),x75774))
% 178.51/178.26 [7937]~P66(x79371)+~P106(f326(f326(f235(x79371),x79374),f2(x79371)))+~P106(f326(f326(f234(x79371),x79373),f326(f326(f289(x79371),x79372),x79374)))+P106(f326(f326(f234(x79371),x79372),f326(f326(f80(x79371),x79373),x79374)))
% 178.51/178.26 [7938]~P66(x79381)+~P106(f326(f326(f235(x79381),x79384),f2(x79381)))+~P106(f326(f326(f234(x79381),x79383),f326(f326(f80(x79381),x79382),x79384)))+P106(f326(f326(f234(x79381),x79382),f326(f326(f289(x79381),x79383),x79384)))
% 178.51/178.26 [7939]~P66(x79391)+~P106(f326(f326(f235(x79391),x79394),f2(x79391)))+~P106(f326(f326(f235(x79391),x79393),f326(f326(f289(x79391),x79392),x79394)))+P106(f326(f326(f235(x79391),x79392),f326(f326(f80(x79391),x79393),x79394)))
% 178.51/178.26 [7940]~P66(x79401)+~P106(f326(f326(f235(x79401),x79404),f2(x79401)))+~P106(f326(f326(f235(x79401),x79403),f326(f326(f80(x79401),x79402),x79404)))+P106(f326(f326(f235(x79401),x79402),f326(f326(f289(x79401),x79403),x79404)))
% 178.51/178.26 [8044]~P112(x80441)+~P106(f326(f326(f234(x80441),x80442),f2(x80441)))+~P106(f326(f326(f234(x80441),x80444),x80443))+P106(f326(f326(f234(x80441),f326(f326(f80(x80441),x80442),x80443)),f326(f326(f80(x80441),x80442),x80444)))
% 178.51/178.26 [8045]~P126(x80451)+~P106(f326(f326(f235(x80451),x80452),f2(x80451)))+~P106(f326(f326(f234(x80451),x80454),x80453))+P106(f326(f326(f234(x80451),f326(f326(f80(x80451),x80452),x80453)),f326(f326(f80(x80451),x80452),x80454)))
% 178.51/178.26 [8046]~P112(x80461)+~P106(f326(f326(f234(x80461),x80463),f2(x80461)))+~P106(f326(f326(f234(x80461),x80464),x80462))+P106(f326(f326(f234(x80461),f326(f326(f80(x80461),x80462),x80463)),f326(f326(f80(x80461),x80464),x80463)))
% 178.51/178.26 [8047]~P65(x80471)+~P106(f326(f326(f234(x80471),x80473),f2(x80471)))+~P106(f326(f326(f234(x80471),x80474),x80472))+P106(f326(f326(f234(x80471),f326(f326(f289(x80471),x80472),x80473)),f326(f326(f289(x80471),x80474),x80473)))
% 178.51/178.26 [8051]~P126(x80511)+~P106(f326(f326(f235(x80511),x80513),f2(x80511)))+~P106(f326(f326(f235(x80511),x80514),x80512))+P106(f326(f326(f235(x80511),f326(f326(f80(x80511),x80512),x80513)),f326(f326(f80(x80511),x80514),x80513)))
% 178.51/178.26 [8052]~P126(x80521)+~P106(f326(f326(f235(x80521),x80522),f2(x80521)))+~P106(f326(f326(f235(x80521),x80524),x80523))+P106(f326(f326(f235(x80521),f326(f326(f80(x80521),x80522),x80523)),f326(f326(f80(x80521),x80522),x80524)))
% 178.51/178.26 [8053]~P66(x80531)+~P106(f326(f326(f235(x80531),x80533),f2(x80531)))+~P106(f326(f326(f235(x80531),x80534),x80532))+P106(f326(f326(f235(x80531),f326(f326(f289(x80531),x80532),x80533)),f326(f326(f289(x80531),x80534),x80533)))
% 178.51/178.26 [8054]~P125(x80541)+~P106(f326(f326(f235(x80541),f77(x80541)),x80542))+~P106(f326(f326(f234(a914),x80543),x80544))+P106(f326(f326(f234(x80541),f326(f326(f243(x80541),x80542),x80543)),f326(f326(f243(x80541),x80542),x80544)))
% 178.51/178.26 [8055]~P125(x80551)+~P106(f326(f326(f234(x80551),f77(x80551)),x80552))+~P106(f326(f326(f234(a914),x80553),x80554))+P106(f326(f326(f234(x80551),f326(f326(f243(x80551),x80552),x80553)),f326(f326(f243(x80551),x80552),x80554)))
% 178.51/178.26 [8057]~P125(x80571)+~P106(f326(f326(f235(x80571),f77(x80571)),x80572))+~P106(f326(f326(f235(a914),x80573),x80574))+P106(f326(f326(f235(x80571),f326(f326(f243(x80571),x80572),x80573)),f326(f326(f243(x80571),x80572),x80574)))
% 178.51/178.26 [8084]P106(f326(f326(f235(a914),f2(a914)),f326(x80841,x80842)))+~P106(f326(f61(x80843),x80844))+~P106(f326(f326(f328(x80843),x80842),x80844))+~P106(f326(f326(f235(a914),f2(a914)),f326(f326(f11(x80843,a914),x80841),x80844)))
% 178.51/178.26 [8092]~P136(x80921)+~P106(f326(f326(f234(x80921),x80923),x80924))+~P106(f326(f326(f234(x80921),f2(x80921)),x80922))+P106(f326(f326(f234(x80921),f326(f326(f80(x80921),x80922),x80923)),f326(f326(f80(x80921),x80922),x80924)))
% 178.51/178.26 [8093]~P135(x80931)+~P106(f326(f326(f234(x80931),x80933),x80934))+~P106(f326(f326(f234(x80931),f2(x80931)),x80932))+P106(f326(f326(f234(x80931),f326(f326(f80(x80931),x80932),x80933)),f326(f326(f80(x80931),x80932),x80934)))
% 178.51/178.26 [8094]~P126(x80941)+~P106(f326(f326(f235(x80941),f2(x80941)),x80942))+~P106(f326(f326(f234(x80941),x80943),x80944))+P106(f326(f326(f234(x80941),f326(f326(f80(x80941),x80942),x80943)),f326(f326(f80(x80941),x80942),x80944)))
% 178.51/178.26 [8095]~P136(x80951)+~P106(f326(f326(f234(x80951),x80952),x80954))+~P106(f326(f326(f234(x80951),f2(x80951)),x80953))+P106(f326(f326(f234(x80951),f326(f326(f80(x80951),x80952),x80953)),f326(f326(f80(x80951),x80954),x80953)))
% 178.51/178.26 [8096]~P65(x80961)+~P106(f326(f326(f234(x80961),x80962),x80964))+~P106(f326(f326(f234(x80961),f2(x80961)),x80963))+P106(f326(f326(f234(x80961),f326(f326(f289(x80961),x80962),x80963)),f326(f326(f289(x80961),x80964),x80963)))
% 178.51/178.26 [8097]~P125(x80971)+~P106(f326(f326(f234(x80971),x80972),x80974))+~P106(f326(f326(f234(x80971),f2(x80971)),x80972))+P106(f326(f326(f234(x80971),f326(f326(f243(x80971),x80972),x80973)),f326(f326(f243(x80971),x80974),x80973)))
% 178.51/178.26 [8099]~P132(x80991)+~P106(f326(f326(f235(x80991),x80993),x80994))+~P106(f326(f326(f235(x80991),f2(x80991)),x80992))+P106(f326(f326(f235(x80991),f326(f326(f80(x80991),x80992),x80993)),f326(f326(f80(x80991),x80992),x80994)))
% 178.51/178.26 [8100]~P120(x81001)+~P106(f326(f326(f235(x81001),x81003),x81004))+~P106(f326(f326(f235(x81001),f2(x81001)),x81002))+P106(f326(f326(f235(x81001),f326(f326(f80(x81001),x81002),x81003)),f326(f326(f80(x81001),x81002),x81004)))
% 178.51/178.26 [8101]~P126(x81011)+~P106(f326(f326(f235(x81011),x81012),x81014))+~P106(f326(f326(f235(x81011),f2(x81011)),x81013))+P106(f326(f326(f235(x81011),f326(f326(f80(x81011),x81012),x81013)),f326(f326(f80(x81011),x81014),x81013)))
% 178.51/178.26 [8102]~P132(x81021)+~P106(f326(f326(f235(x81021),x81022),x81024))+~P106(f326(f326(f235(x81021),f2(x81021)),x81023))+P106(f326(f326(f235(x81021),f326(f326(f80(x81021),x81022),x81023)),f326(f326(f80(x81021),x81024),x81023)))
% 178.51/178.26 [8103]~P126(x81031)+~P106(f326(f326(f235(x81031),x81033),x81034))+~P106(f326(f326(f235(x81031),f2(x81031)),x81032))+P106(f326(f326(f235(x81031),f326(f326(f80(x81031),x81032),x81033)),f326(f326(f80(x81031),x81032),x81034)))
% 178.51/178.26 [8104]~P66(x81041)+~P106(f326(f326(f235(x81041),x81042),x81044))+~P106(f326(f326(f235(x81041),f2(x81041)),x81043))+P106(f326(f326(f235(x81041),f326(f326(f289(x81041),x81042),x81043)),f326(f326(f289(x81041),x81044),x81043)))
% 178.51/178.26 [8146]~P108(x81462)+P106(f326(f326(f235(f922(x81461,x81462)),x81464),x81463))+~P106(f326(f326(f234(f922(x81461,x81462)),x81464),x81463))+P106(f326(f326(f234(f922(x81461,x81462)),x81463),x81464))
% 178.51/178.26 [8186]P106(f326(f326(f328(x81861),x81862),x81863))+P106(f326(f326(f328(x81861),x81862),x81864))+~P106(f326(f326(f234(f922(x81861,a910)),x81864),x81863))+P106(f326(f326(f235(f922(x81861,a910)),x81864),f326(f326(f308(x81861),x81862),x81863)))
% 178.51/178.26 [8341]P106(f326(f326(f328(x83411),x83412),x83413))+P106(f326(f326(f328(x83411),x83412),x83414))+~P106(f326(f326(f235(f922(x83411,a910)),x83414),f326(f326(f308(x83411),x83412),x83413)))+P106(f326(f326(f234(f922(x83411,a910)),x83414),x83413))
% 178.51/178.26 [8406]~P126(x84061)+P106(f326(f326(f235(x84061),x84063),x84062))+P106(f326(f326(f235(x84061),x84062),x84063))+~P106(f326(f326(f235(x84061),f326(f326(f80(x84061),x84064),x84062)),f326(f326(f80(x84061),x84064),x84063)))
% 178.51/178.26 [8407]~P126(x84071)+P106(f326(f326(f235(x84071),x84073),x84072))+P106(f326(f326(f235(x84071),x84072),x84073))+~P106(f326(f326(f235(x84071),f326(f326(f80(x84071),x84072),x84074)),f326(f326(f80(x84071),x84073),x84074)))
% 178.51/178.26 [8418]~P126(x84181)+P106(f326(f326(f235(x84181),x84184),f2(x84181)))+P106(f326(f326(f235(x84181),x84182),x84183))+~P106(f326(f326(f235(x84181),f326(f326(f80(x84181),x84182),x84184)),f326(f326(f80(x84181),x84183),x84184)))
% 178.51/178.26 [8419]~P126(x84191)+P106(f326(f326(f235(x84191),x84194),f2(x84191)))+P106(f326(f326(f235(x84191),x84192),x84193))+~P106(f326(f326(f235(x84191),f326(f326(f80(x84191),x84194),x84192)),f326(f326(f80(x84191),x84194),x84193)))
% 178.51/178.26 [8422]~P126(x84221)+P106(f326(f326(f235(x84221),x84222),x84223))+P106(f326(f326(f235(x84221),f2(x84221)),x84224))+~P106(f326(f326(f235(x84221),f326(f326(f80(x84221),x84224),x84223)),f326(f326(f80(x84221),x84224),x84222)))
% 178.51/178.26 [8423]~P126(x84231)+P106(f326(f326(f235(x84231),x84232),x84233))+P106(f326(f326(f235(x84231),f2(x84231)),x84234))+~P106(f326(f326(f235(x84231),f326(f326(f80(x84231),x84233),x84234)),f326(f326(f80(x84231),x84232),x84234)))
% 178.51/178.26 [8436]~P126(x84361)+P106(f326(f326(f235(x84361),x84362),f2(x84361)))+P106(f326(f326(f235(x84361),f2(x84361)),x84362))+~P106(f326(f326(f235(x84361),f326(f326(f80(x84361),x84363),x84362)),f326(f326(f80(x84361),x84364),x84362)))
% 178.51/178.26 [8437]~P126(x84371)+P106(f326(f326(f235(x84371),x84372),f2(x84371)))+P106(f326(f326(f235(x84371),f2(x84371)),x84372))+~P106(f326(f326(f235(x84371),f326(f326(f80(x84371),x84372),x84373)),f326(f326(f80(x84371),x84372),x84374)))
% 178.51/178.26 [8466]~P126(x84661)+~P106(f326(f326(f235(x84661),x84664),f2(x84661)))+P106(f326(f326(f234(x84661),x84662),x84663))+~P106(f326(f326(f234(x84661),f326(f326(f80(x84661),x84664),x84663)),f326(f326(f80(x84661),x84664),x84662)))
% 178.51/178.26 [8467]~P126(x84671)+~P106(f326(f326(f235(x84671),x84674),f2(x84671)))+P106(f326(f326(f235(x84671),x84672),x84673))+~P106(f326(f326(f235(x84671),f326(f326(f80(x84671),x84674),x84673)),f326(f326(f80(x84671),x84674),x84672)))
% 178.51/178.26 [8478]~P125(x84783)+~P106(f326(f326(f235(x84783),f77(x84783)),x84784))+P106(f326(f326(f234(a914),x84781),x84782))+~P106(f326(f326(f234(x84783),f326(f326(f243(x84783),x84784),x84781)),f326(f326(f243(x84783),x84784),x84782)))
% 178.51/178.26 [8480]~P125(x84803)+~P106(f326(f326(f235(x84803),f77(x84803)),x84804))+P106(f326(f326(f235(a914),x84801),x84802))+~P106(f326(f326(f235(x84803),f326(f326(f243(x84803),x84804),x84801)),f326(f326(f243(x84803),x84804),x84802)))
% 178.51/178.26 [8490]~P126(x84901)+P106(f326(f326(f234(x84901),x84902),x84903))+~P106(f326(f326(f235(x84901),f2(x84901)),x84904))+~P106(f326(f326(f234(x84901),f326(f326(f80(x84901),x84904),x84902)),f326(f326(f80(x84901),x84904),x84903)))
% 178.51/178.26 [8491]~P132(x84911)+P106(f326(f326(f234(x84911),x84912),x84913))+~P106(f326(f326(f235(x84911),f2(x84911)),x84914))+~P106(f326(f326(f234(x84911),f326(f326(f80(x84911),x84914),x84912)),f326(f326(f80(x84911),x84914),x84913)))
% 178.51/178.26 [8492]~P132(x84921)+P106(f326(f326(f234(x84921),x84922),x84923))+~P106(f326(f326(f235(x84921),f2(x84921)),x84924))+~P106(f326(f326(f234(x84921),f326(f326(f80(x84921),x84922),x84924)),f326(f326(f80(x84921),x84923),x84924)))
% 178.51/178.26 [8493]~P126(x84931)+P106(f326(f326(f235(x84931),x84932),x84933))+~P106(f326(f326(f235(x84931),f2(x84931)),x84934))+~P106(f326(f326(f235(x84931),f326(f326(f80(x84931),x84934),x84932)),f326(f326(f80(x84931),x84934),x84933)))
% 178.51/178.26 [8494]~P132(x84941)+P106(f326(f326(f235(x84941),x84942),x84943))+~P106(f326(f326(f234(x84941),f2(x84941)),x84944))+~P106(f326(f326(f235(x84941),f326(f326(f80(x84941),x84944),x84942)),f326(f326(f80(x84941),x84944),x84943)))
% 178.51/178.26 [8495]~P129(x84951)+P106(f326(f326(f235(x84951),x84952),x84953))+~P106(f326(f326(f234(x84951),f2(x84951)),x84954))+~P106(f326(f326(f235(x84951),f326(f326(f80(x84951),x84954),x84952)),f326(f326(f80(x84951),x84954),x84953)))
% 178.51/178.26 [8496]~P125(x84961)+~P106(f326(f326(f234(x84961),f2(x84961)),x84963))+P106(f326(f326(f235(x84961),x84962),x84963))+~P106(f326(f326(f235(x84961),f326(f326(f243(x84961),x84962),x84964)),f326(f326(f243(x84961),x84963),x84964)))
% 178.51/178.26 [8497]~P132(x84971)+P106(f326(f326(f235(x84971),x84972),x84973))+~P106(f326(f326(f234(x84971),f2(x84971)),x84974))+~P106(f326(f326(f235(x84971),f326(f326(f80(x84971),x84972),x84974)),f326(f326(f80(x84971),x84973),x84974)))
% 178.51/178.26 [8498]~P129(x84981)+P106(f326(f326(f235(x84981),x84982),x84983))+~P106(f326(f326(f234(x84981),f2(x84981)),x84984))+~P106(f326(f326(f235(x84981),f326(f326(f80(x84981),x84982),x84984)),f326(f326(f80(x84981),x84983),x84984)))
% 178.51/178.26 [8542]P106(f326(f326(f328(x85421),x85422),x85423))+~P106(f326(f326(f234(f922(x85421,a910)),x85423),x85424))+~P106(f326(f326(f235(f922(x85421,a910)),x85423),x85424))+P106(f326(f326(f235(f922(x85421,a910)),x85423),f326(f326(f308(x85421),x85422),x85424)))
% 178.51/178.26 [8918]E(f326(f326(f3(a1),f448(x89181,x89182,x89183,x89184)),f449(x89181,x89182,x89183,x89184)),x89184)+~P106(f326(f326(f235(a1),f2(a1)),x89183))+~P106(f326(f326(f234(a1),x89181),x89184))+P106(f326(f326(f234(a1),x89181),f326(f326(f79(a1),x89184),x89183)))
% 178.51/178.26 [8919]E(f326(f326(f3(a1),f457(x89191,x89192,x89193,x89194)),f458(x89191,x89192,x89193,x89194)),x89194)+~P106(f326(f326(f235(a1),f2(a1)),x89193))+~P106(f326(f326(f235(a1),x89191),x89194))+P106(f326(f326(f235(a1),x89191),f326(f326(f79(a1),x89194),x89193)))
% 178.51/178.26 [9069]~E(f326(f326(f164(x90691),x90693),f674(x90694,x90693,x90691,x90692)),f326(f326(f164(x90691),x90694),f674(x90694,x90693,x90691,x90692)))+E(f326(f326(f175(x90691),x90692),x90693),f326(f326(f175(x90691),x90692),x90694))+~P106(f326(f326(f234(a914),x90692),f326(f189(f915(x90691)),x90693)))+~P106(f326(f326(f234(a914),x90692),f326(f189(f915(x90691)),x90694)))
% 178.51/178.26 [9131]~P106(f326(f326(f235(a1),f2(a1)),x91313))+~P106(f326(f326(f234(a1),x91311),x91314))+P106(f326(f326(f328(a1),f448(x91311,x91312,x91313,x91314)),x91312))+P106(f326(f326(f234(a1),x91311),f326(f326(f79(a1),x91314),x91313)))
% 178.51/178.26 [9132]~P106(f326(f326(f235(a1),f2(a1)),x91323))+~P106(f326(f326(f235(a1),x91321),x91324))+P106(f326(f326(f328(a1),f457(x91321,x91322,x91323,x91324)),x91322))+P106(f326(f326(f235(a1),x91321),f326(f326(f79(a1),x91324),x91323)))
% 178.51/178.26 [9172]~P102(x91721)+~P106(f326(f61(x91721),x91723))+~P106(f326(f326(f328(x91721),x91724),x91723))+P106(f326(f326(f234(x91721),f326(f326(f64(x91721,x91721,f101(x91721)),x91722),x91723)),f326(f326(f101(x91721),x91724),x91722)))
% 178.51/178.26 [9173]~P109(x91731)+~P106(f326(f61(x91731),x91733))+~P106(f326(f326(f328(x91731),x91734),x91733))+P106(f326(f326(f234(x91731),f326(f326(f64(x91731,x91731,f232(x91731)),x91732),x91733)),f326(f326(f232(x91731),x91734),x91732)))
% 178.51/178.26 [9217]E(f326(f326(f175(x92171),x92172),x92173),f326(f326(f175(x92171),x92172),x92174))+P106(f326(f326(f235(a914),f674(x92173,x92174,x92171,x92172)),x92172))+~P106(f326(f326(f234(a914),x92172),f326(f189(f915(x92171)),x92173)))+~P106(f326(f326(f234(a914),x92172),f326(f189(f915(x92171)),x92174)))
% 178.51/178.26 [9222]~P106(f326(f326(f235(a1),f2(a1)),x92223))+~P106(f326(f326(f234(a1),x92221),x92222))+P106(f326(f326(f328(a1),f449(x92221,x92224,x92223,x92222)),f302(a1,f77(a1),x92223)))+P106(f326(f326(f234(a1),x92221),f326(f326(f79(a1),x92222),x92223)))
% 178.51/178.26 [9223]~P106(f326(f326(f235(a1),f2(a1)),x92233))+~P106(f326(f326(f235(a1),x92231),x92232))+P106(f326(f326(f328(a1),f458(x92231,x92234,x92233,x92232)),f302(a1,f77(a1),x92233)))+P106(f326(f326(f235(a1),x92231),f326(f326(f79(a1),x92232),x92233)))
% 178.51/178.26 [9546]~P101(x95461)+~P106(f326(f61(x95461),x95464))+P106(f326(f326(f328(x95461),f902(x95462,x95463,x95464,x95461)),x95464))+P106(f326(f326(f234(x95461),f326(f326(f64(x95461,x95461,f110(x95461)),x95462),x95464)),f326(f326(f110(x95461),x95463),x95462)))
% 178.51/178.26 [9547]~P109(x95471)+~P106(f326(f61(x95471),x95474))+P106(f326(f326(f328(x95471),f606(x95472,x95473,x95474,x95471)),x95474))+P106(f326(f326(f234(x95471),f326(f326(f64(x95471,x95471,f233(x95471)),x95472),x95474)),f326(f326(f233(x95471),x95473),x95472)))
% 178.51/178.26 [9682]~P101(x96821)+~P106(f326(f61(x96821),x96823))+~P106(f326(f326(f234(x96821),f902(x96822,x96824,x96823,x96821)),x96824))+P106(f326(f326(f234(x96821),f326(f326(f64(x96821,x96821,f110(x96821)),x96822),x96823)),f326(f326(f110(x96821),x96824),x96822)))
% 178.51/178.26 [9683]~P109(x96831)+~P106(f326(f61(x96831),x96833))+~P106(f326(f326(f234(x96831),f606(x96832,x96834,x96833,x96831)),x96834))+P106(f326(f326(f234(x96831),f326(f326(f64(x96831,x96831,f233(x96831)),x96832),x96833)),f326(f326(f233(x96831),x96834),x96832)))
% 178.51/178.26 [9685]~P106(f326(f326(f234(a1),f2(a1)),x96854))+~P106(f326(f326(f235(a1),f2(a1)),x96853))+~P106(f326(f326(f235(a1),x96854),x96851))+P106(f326(f326(f235(a1),f326(f326(f79(a1),f326(f326(f80(a1),x96851),f45(a1,x96852,x96853))),x96854)),f326(f326(f80(a1),x96851),x96853)))
% 178.51/178.26 [10072]E(x100721,x100722)+P106(f326(f326(f328(f921(f915(x100723),f915(x100723))),f326(f326(f251(f915(x100723),f915(x100723)),x100722),x100721)),f147(x100723,x100724)))+P106(f326(f326(f328(f921(f915(x100723),f915(x100723))),f326(f326(f251(f915(x100723),f915(x100723)),x100721),x100722)),f147(x100723,x100724)))+~P106(f326(f326(f328(f921(x100723,x100723)),f326(f326(f251(x100723,x100723),f656(x100721,x100722,x100724,x100723)),f657(x100721,x100722,x100724,x100723))),x100724))
% 178.51/178.26 [10073]E(x100731,x100732)+P106(f326(f326(f328(f921(f915(x100733),f915(x100733))),f326(f326(f251(f915(x100733),f915(x100733)),x100732),x100731)),f147(x100733,x100734)))+P106(f326(f326(f328(f921(f915(x100733),f915(x100733))),f326(f326(f251(f915(x100733),f915(x100733)),x100731),x100732)),f147(x100733,x100734)))+~P106(f326(f326(f328(f921(x100733,x100733)),f326(f326(f251(x100733,x100733),f657(x100731,x100732,x100734,x100733)),f656(x100731,x100732,x100734,x100733))),x100734))
% 178.51/178.26 [7645]~P101(x76451)+~P106(f326(f326(f234(x76451),x76453),x76454))+~P106(f326(f326(f234(x76451),x76452),x76454))+P106(f326(f326(f234(x76451),f326(f326(f110(x76451),x76452),x76453)),x76454))
% 178.51/178.26 [7648]~P109(x76481)+~P106(f326(f326(f234(x76481),x76483),x76484))+~P106(f326(f326(f234(x76481),x76482),x76484))+P106(f326(f326(f234(x76481),f326(f326(f233(x76481),x76482),x76483)),x76484))
% 178.51/178.26 [7649]~P109(x76491)+~P106(f326(f326(f235(x76491),x76493),x76494))+~P106(f326(f326(f235(x76491),x76492),x76494))+P106(f326(f326(f235(x76491),f326(f326(f233(x76491),x76492),x76493)),x76494))
% 178.51/178.26 [7962]~E(x79621,x79623)+E(f139(a914,f326(f301(a914,x79621),x79622)),f326(f326(f151(a914),x79623),x79624))+~E(f139(a914,f326(f301(a914,f326(f326(f79(a914),x79621),f77(a914))),x79622)),x79624)+~P106(f326(f326(f235(a914),x79621),x79622))
% 178.51/178.26 [7970]~P109(x79701)+P106(f326(f326(f234(x79701),x79702),x79703))+P106(f326(f326(f234(x79701),x79704),x79703))+~P106(f326(f326(f234(x79701),f326(f326(f232(x79701),x79704),x79702)),x79703))
% 178.51/178.26 [7971]~P109(x79711)+P106(f326(f326(f235(x79711),x79712),x79713))+P106(f326(f326(f235(x79711),x79714),x79713))+~P106(f326(f326(f235(x79711),f326(f326(f232(x79711),x79714),x79712)),x79713))
% 178.51/178.26 [8244]~P65(x82441)+~P106(f326(f326(f235(x82441),f2(x82441)),x82443))+~P106(f326(f326(f234(x82441),x82442),f326(f326(f289(x82441),x82444),x82443)))+P106(f326(f326(f234(x82441),f326(f326(f80(x82441),x82442),x82443)),x82444))
% 178.51/178.26 [8245]~P66(x82451)+~P106(f326(f326(f235(x82451),f2(x82451)),x82453))+~P106(f326(f326(f234(x82451),x82452),f326(f326(f289(x82451),x82454),x82453)))+P106(f326(f326(f234(x82451),f326(f326(f80(x82451),x82452),x82453)),x82454))
% 178.51/178.26 [8246]~P65(x82461)+~P106(f326(f326(f235(x82461),f2(x82461)),x82463))+~P106(f326(f326(f234(x82461),x82462),f326(f326(f80(x82461),x82464),x82463)))+P106(f326(f326(f234(x82461),f326(f326(f289(x82461),x82462),x82463)),x82464))
% 178.51/178.26 [8248]~P66(x82481)+~P106(f326(f326(f235(x82481),f2(x82481)),x82483))+~P106(f326(f326(f234(x82481),x82482),f326(f326(f80(x82481),x82484),x82483)))+P106(f326(f326(f234(x82481),f326(f326(f289(x82481),x82482),x82483)),x82484))
% 178.51/178.26 [8249]~P65(x82491)+~P106(f326(f326(f235(x82491),f2(x82491)),x82493))+~P106(f326(f326(f235(x82491),x82492),f326(f326(f289(x82491),x82494),x82493)))+P106(f326(f326(f235(x82491),f326(f326(f80(x82491),x82492),x82493)),x82494))
% 178.51/178.26 [8250]~P66(x82501)+~P106(f326(f326(f235(x82501),f2(x82501)),x82503))+~P106(f326(f326(f235(x82501),x82502),f326(f326(f289(x82501),x82504),x82503)))+P106(f326(f326(f235(x82501),f326(f326(f80(x82501),x82502),x82503)),x82504))
% 178.51/178.26 [8251]~P65(x82511)+~P106(f326(f326(f235(x82511),f2(x82511)),x82513))+~P106(f326(f326(f235(x82511),x82512),f326(f326(f80(x82511),x82514),x82513)))+P106(f326(f326(f235(x82511),f326(f326(f289(x82511),x82512),x82513)),x82514))
% 178.51/178.26 [8253]~P66(x82531)+~P106(f326(f326(f235(x82531),f2(x82531)),x82533))+~P106(f326(f326(f235(x82531),x82532),f326(f326(f80(x82531),x82534),x82533)))+P106(f326(f326(f235(x82531),f326(f326(f289(x82531),x82532),x82533)),x82534))
% 178.51/178.26 [8376]~P65(x83761)+~P106(f326(f326(f235(x83761),f2(x83761)),x83764))+P106(f326(f326(f234(x83761),x83762),f326(f326(f80(x83761),x83763),x83764)))+~P106(f326(f326(f234(x83761),f326(f326(f289(x83761),x83762),x83764)),x83763))
% 178.51/178.26 [8377]~P65(x83771)+~P106(f326(f326(f235(x83771),f2(x83771)),x83774))+P106(f326(f326(f234(x83771),x83772),f326(f326(f289(x83771),x83773),x83774)))+~P106(f326(f326(f234(x83771),f326(f326(f80(x83771),x83772),x83774)),x83773))
% 178.51/178.26 [8379]~P66(x83791)+~P106(f326(f326(f235(x83791),f2(x83791)),x83794))+P106(f326(f326(f234(x83791),x83792),f326(f326(f80(x83791),x83793),x83794)))+~P106(f326(f326(f234(x83791),f326(f326(f289(x83791),x83792),x83794)),x83793))
% 178.51/178.26 [8380]~P66(x83801)+~P106(f326(f326(f235(x83801),f2(x83801)),x83804))+P106(f326(f326(f234(x83801),x83802),f326(f326(f289(x83801),x83803),x83804)))+~P106(f326(f326(f234(x83801),f326(f326(f80(x83801),x83802),x83804)),x83803))
% 178.51/178.26 [8381]~P65(x83811)+~P106(f326(f326(f235(x83811),f2(x83811)),x83814))+P106(f326(f326(f235(x83811),x83812),f326(f326(f80(x83811),x83813),x83814)))+~P106(f326(f326(f235(x83811),f326(f326(f289(x83811),x83812),x83814)),x83813))
% 178.51/178.26 [8382]~P65(x83821)+~P106(f326(f326(f235(x83821),f2(x83821)),x83824))+P106(f326(f326(f235(x83821),x83822),f326(f326(f289(x83821),x83823),x83824)))+~P106(f326(f326(f235(x83821),f326(f326(f80(x83821),x83822),x83824)),x83823))
% 178.51/178.26 [8384]~P66(x83841)+~P106(f326(f326(f235(x83841),f2(x83841)),x83844))+P106(f326(f326(f235(x83841),x83842),f326(f326(f80(x83841),x83843),x83844)))+~P106(f326(f326(f235(x83841),f326(f326(f289(x83841),x83842),x83844)),x83843))
% 178.51/178.26 [8385]~P66(x83851)+~P106(f326(f326(f235(x83851),f2(x83851)),x83854))+P106(f326(f326(f235(x83851),x83852),f326(f326(f289(x83851),x83853),x83854)))+~P106(f326(f326(f235(x83851),f326(f326(f80(x83851),x83852),x83854)),x83853))
% 178.51/178.26 [8545]~P66(x85451)+~P106(f326(f326(f235(x85451),x85453),f2(x85451)))+~P106(f326(f326(f234(x85451),f326(f326(f289(x85451),x85454),x85453)),x85452))+P106(f326(f326(f234(x85451),f326(f326(f80(x85451),x85452),x85453)),x85454))
% 178.51/178.26 [8546]~P66(x85461)+~P106(f326(f326(f235(x85461),x85463),f2(x85461)))+~P106(f326(f326(f234(x85461),f326(f326(f80(x85461),x85464),x85463)),x85462))+P106(f326(f326(f234(x85461),f326(f326(f289(x85461),x85462),x85463)),x85464))
% 178.51/178.26 [8547]~P66(x85471)+~P106(f326(f326(f235(x85471),x85473),f2(x85471)))+~P106(f326(f326(f235(x85471),f326(f326(f289(x85471),x85474),x85473)),x85472))+P106(f326(f326(f235(x85471),f326(f326(f80(x85471),x85472),x85473)),x85474))
% 178.51/178.26 [8548]~P66(x85481)+~P106(f326(f326(f235(x85481),x85483),f2(x85481)))+~P106(f326(f326(f235(x85481),f326(f326(f80(x85481),x85484),x85483)),x85482))+P106(f326(f326(f235(x85481),f326(f326(f289(x85481),x85482),x85483)),x85484))
% 178.51/178.26 [8560]~P106(f326(x85601,x85604))+~P106(f326(f326(f235(a914),x85602),f326(f326(f80(a914),x85603),f326(a112,x85604))))+P106(f326(x85601,f326(f326(f36(a914),x85602),x85603)))+~P106(f326(f326(f234(a914),f326(f326(f80(a914),x85603),x85604)),x85602))
% 178.51/178.26 [8766]~P101(x87661)+~P106(f326(f61(x87661),x87664))+~P106(f326(f326(f328(x87661),x87662),x87664))+P106(f326(f326(f234(x87661),f326(f326(f110(x87661),x87662),x87663)),f326(f326(f64(x87661,x87661,f110(x87661)),x87663),x87664)))
% 178.51/178.26 [8767]~P109(x87671)+~P106(f326(f61(x87671),x87674))+~P106(f326(f326(f328(x87671),x87672),x87674))+P106(f326(f326(f234(x87671),f326(f326(f233(x87671),x87672),x87673)),f326(f326(f64(x87671,x87671,f233(x87671)),x87673),x87674)))
% 178.51/178.26 [8920]~P106(f326(f61(x89201),x89202))+E(f326(f35(x89201),f326(f326(f3(f922(x89201,a910)),x89202),f326(f326(f308(x89201),x89203),x89204))),f326(f326(f3(a914),f326(f35(x89201),f326(f326(f3(f922(x89201,a910)),x89202),x89204))),f77(a914)))+P106(f326(f326(f328(x89201),x89203),x89204))+~P106(f326(f326(f328(x89201),x89203),x89202))
% 178.51/178.26 [8997]E(f326(f326(f79(a1),f452(x89971,x89972,x89973,x89974)),f453(x89971,x89972,x89973,x89974)),x89974)+~P106(f326(f326(f235(a1),f2(a1)),x89973))+~P106(f326(f326(f234(a1),x89974),x89971))+P106(f326(f326(f234(a1),f326(f326(f3(a1),x89974),x89973)),x89971))
% 178.51/178.26 [8998]E(f326(f326(f79(a1),f459(x89981,x89982,x89983,x89984)),f460(x89981,x89982,x89983,x89984)),x89984)+~P106(f326(f326(f235(a1),f2(a1)),x89983))+~P106(f326(f326(f235(a1),x89984),x89981))+P106(f326(f326(f235(a1),f326(f326(f3(a1),x89984),x89983)),x89981))
% 178.51/178.26 [9202]~P106(f326(f326(f235(a1),f2(a1)),x92023))+~P106(f326(f326(f234(a1),x92024),x92021))+P106(f326(f326(f328(a1),f452(x92021,x92022,x92023,x92024)),x92022))+P106(f326(f326(f234(a1),f326(f326(f3(a1),x92024),x92023)),x92021))
% 178.51/178.26 [9203]~P106(f326(f326(f235(a1),f2(a1)),x92033))+~P106(f326(f326(f235(a1),x92034),x92031))+P106(f326(f326(f328(a1),f459(x92031,x92032,x92033,x92034)),x92032))+P106(f326(f326(f235(a1),f326(f326(f3(a1),x92034),x92033)),x92031))
% 178.51/178.26 [9289]~P106(f326(f326(f235(a1),f2(a1)),x92892))+~P106(f326(f326(f234(a1),x92891),x92893))+P106(f326(f326(f328(a1),f453(x92893,x92894,x92892,x92891)),f302(a1,f77(a1),x92892)))+P106(f326(f326(f234(a1),f326(f326(f3(a1),x92891),x92892)),x92893))
% 178.51/178.26 [9290]~P106(f326(f326(f235(a1),f2(a1)),x92902))+~P106(f326(f326(f235(a1),x92901),x92903))+P106(f326(f326(f328(a1),f460(x92903,x92904,x92902,x92901)),f302(a1,f77(a1),x92902)))+P106(f326(f326(f235(a1),f326(f326(f3(a1),x92901),x92902)),x92903))
% 178.51/178.26 [9308]~P106(f326(f326(f234(a1),f2(a1)),x93084))+~P106(f326(f326(f235(a1),f2(a1)),x93083))+~P106(f326(f326(f235(a1),x93084),x93081))+P106(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),f326(f326(f80(a1),x93081),f45(a1,x93082,x93083))),x93084)))
% 178.51/178.26 [9337]E(x93371,x93372)+~P39(x93373,x93374)+~P106(f326(f326(f328(f921(x93373,x93373)),f326(f326(f251(x93373,x93373),x93372),x93371)),x93374))+~P106(f326(f326(f328(f921(x93373,x93373)),f326(f326(f251(x93373,x93373),x93371),x93372)),x93374))
% 178.51/178.26 [9370]~P102(x93701)+~P106(f326(f61(x93701),x93704))+~P106(f326(f326(f234(x93701),x93702),f872(x93703,x93702,x93704,x93701)))+P106(f326(f326(f234(x93701),f326(f326(f101(x93701),x93702),x93703)),f326(f326(f64(x93701,x93701,f101(x93701)),x93703),x93704)))
% 178.51/178.26 [9371]~P109(x93711)+~P106(f326(f61(x93711),x93714))+~P106(f326(f326(f234(x93711),x93712),f359(x93713,x93712,x93714,x93711)))+P106(f326(f326(f234(x93711),f326(f326(f232(x93711),x93712),x93713)),f326(f326(f64(x93711,x93711,f232(x93711)),x93713),x93714)))
% 178.51/178.26 [9386]~P106(f326(f326(f234(a1),x93864),f2(a1)))+~P106(f326(f326(f235(a1),f2(a1)),x93862))+~P106(f326(f326(f235(a1),x93861),x93864))+P106(f326(f326(f235(a1),f326(f326(f80(a1),x93861),x93862)),f326(f326(f79(a1),f326(f326(f80(a1),x93861),f45(a1,x93863,x93862))),x93864)))
% 178.51/178.26 [9412]P106(f326(f61(x94121),x94122))+~P106(f326(f61(x94121),x94123))+~P106(f326(f326(f328(f922(x94121,a910)),x94122),f326(f326(f60(x94121),x94123),x94124)))+~P106(f326(f326(f234(f922(f921(x94121,x94121),a910)),x94124),f326(f326(f253(x94121,x94121),x94123),f326(f18(f922(x94121,a910),x94121),x94123))))
% 178.51/178.26 [9436]~P102(x94361)+~P106(f326(f61(x94361),x94364))+P106(f326(f326(f328(x94361),f872(x94362,x94363,x94364,x94361)),x94364))+P106(f326(f326(f234(x94361),f326(f326(f101(x94361),x94363),x94362)),f326(f326(f64(x94361,x94361,f101(x94361)),x94362),x94364)))
% 178.51/178.26 [9437]~P109(x94371)+~P106(f326(f61(x94371),x94374))+P106(f326(f326(f328(x94371),f359(x94372,x94373,x94374,x94371)),x94374))+P106(f326(f326(f234(x94371),f326(f326(f232(x94371),x94373),x94372)),f326(f326(f64(x94371,x94371,f232(x94371)),x94372),x94374)))
% 178.51/178.26 [9849]~P106(f326(f61(x98492),x98494))+~P106(f326(f61(x98491),x98493))+~P106(f326(f326(f234(a914),f326(f35(x98492),x98494)),f326(f35(x98491),x98493)))+P106(f326(f326(f234(f922(x98491,a910)),f326(f309(x98492,x98491,f527(x98493,x98491,x98494,x98492)),x98494)),x98493))
% 178.51/178.26 [9487]~P106(f326(f326(f328(x94871),x94872),x94874))+P106(f326(f326(f328(x94871),x94872),x94873))+~P106(f326(f326(f235(f922(x94871,a910)),x94874),f326(f326(f308(x94871),x94872),x94873)))+P106(f326(f326(f235(f922(x94871,a910)),f326(f326(f3(f922(x94871,a910)),x94874),f326(f326(f308(x94871),x94872),f188(f922(x94871,a910))))),x94873))
% 178.51/178.26 [9662]~P106(f326(f326(f328(x96621),x96622),x96624))+P106(f326(f326(f328(x96621),x96622),x96623))+P106(f326(f326(f235(f922(x96621,a910)),x96624),f326(f326(f308(x96621),x96622),x96623)))+~P106(f326(f326(f235(f922(x96621,a910)),f326(f326(f3(f922(x96621,a910)),x96624),f326(f326(f308(x96621),x96622),f188(f922(x96621,a910))))),x96623))
% 178.51/178.26 [9688]P106(f326(f326(f328(x96881),x96882),x96883))+~P106(f326(f326(f234(f922(x96881,a910)),x96884),x96883))+P106(f326(f326(f235(f922(x96881,a910)),x96884),f326(f326(f308(x96881),x96882),x96883)))+~P106(f326(f326(f235(f922(x96881,a910)),f326(f326(f3(f922(x96881,a910)),x96884),f326(f326(f308(x96881),x96882),f188(f922(x96881,a910))))),x96883))
% 178.51/178.26 [9693]~P106(f326(f326(f328(x96931),x96933),x96932))+~P106(f326(f326(f235(f922(x96931,a910)),x96932),x96934))+P106(f326(f326(f235(f922(x96931,a910)),x96932),f326(f326(f308(x96931),x96933),x96934)))+~P106(f326(f326(f235(f922(x96931,a910)),f326(f326(f3(f922(x96931,a910)),x96932),f326(f326(f308(x96931),x96933),f188(f922(x96931,a910))))),x96934))
% 178.51/178.26 [9709]~P106(f326(f326(f234(f922(x97091,a910)),x97092),x97094))+~P106(f326(f326(f235(f922(x97091,a910)),x97092),x97094))+P106(f326(f326(f235(f922(x97091,a910)),x97092),f326(f326(f308(x97091),x97093),x97094)))+~P106(f326(f326(f235(f922(x97091,a910)),f326(f326(f3(f922(x97091,a910)),x97092),f326(f326(f308(x97091),x97093),f188(f922(x97091,a910))))),x97094))
% 178.51/178.26 [9754]~P110(x97542)+~P62(x97541)+~P106(f326(f326(f234(f922(x97541,x97542)),x97543),x97544))+P106(f326(f57(x97541),f326(f326(f20(x97541,x97542,a910),f326(f326(f10(x97542,f922(x97542,a910),x97541),f234(x97542)),x97543)),x97544)))
% 178.51/178.26 [9897]~P110(x98972)+~P62(x98971)+P106(f326(f326(f234(f922(x98971,x98972)),x98973),x98974))+~P106(f326(f57(x98971),f326(f326(f20(x98971,x98972,a910),f326(f326(f10(x98972,f922(x98972,a910),x98971),f234(x98972)),x98973)),x98974)))
% 178.51/178.26 [10063]E(f326(f326(f164(x100631),f326(f326(f164(f915(x100631)),f179(x100631,x100632)),x100633)),x100634),f326(f326(f164(x100631),f326(f326(f164(f915(x100631)),x100632),x100634)),x100633))+~P106(f326(f326(f235(a914),x100633),f326(f189(f915(f915(x100631))),f179(x100631,x100632))))+~P12(a914,f326(f168(a914),f326(f326(f154(f915(x100631),a914),f189(f915(x100631))),x100632)))+~P106(f326(f326(f235(a914),x100634),f326(f189(f915(f915(x100631))),f326(f136(f915(x100631),f326(f326(f10(a914,a910,f915(x100631)),f326(f235(a914),x100633)),f189(f915(x100631)))),x100632))))
% 178.51/178.26 [10084]~P106(f326(f326(f328(f921(a914,a914)),x100844),x100841))+~P106(f326(f326(f328(f921(f921(a914,a914),f921(a914,a914))),f326(f326(f251(f921(a914,a914),f921(a914,a914)),x100844),x100842)),a32))+~P106(f326(f326(f328(f921(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910))),f326(f326(f251(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910)),x100841),x100843)),a33))+P106(f326(f326(f328(f921(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910))),f326(f326(f251(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910)),x100841),f326(f326(f308(f921(a914,a914)),x100842),x100843))),a33))
% 178.51/178.26 [10085]~P106(f326(f326(f328(f921(a914,a914)),x100854),x100851))+~P106(f326(f326(f328(f921(f921(a914,a914),f921(a914,a914))),f326(f326(f251(f921(a914,a914),f921(a914,a914)),x100854),x100852)),a70))+~P106(f326(f326(f328(f921(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910))),f326(f326(f251(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910)),x100851),x100853)),a71))+P106(f326(f326(f328(f921(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910))),f326(f326(f251(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910)),x100851),f326(f326(f308(f921(a914,a914)),x100852),x100853))),a71))
% 178.51/178.26 [9974]~P110(x99742)+~P62(x99741)+~P106(f326(f326(f235(f922(x99741,x99742)),x99743),x99744))+P106(f326(f56(x99741),f326(f326(f10(a910,a910,x99741),a321),f326(f326(f20(x99741,x99742,a910),f326(f326(f10(x99742,f922(x99742,a910),x99741),a323),x99743)),x99744))))
% 178.51/178.26 [10098]~P106(f326(f326(f328(f921(a914,a914)),x100984),x100983))+~P106(f326(f326(f328(f921(f921(a914,a914),f921(a914,a914))),f326(f326(f251(f921(a914,a914),f921(a914,a914)),x100981),x100984)),a70))+~P106(f326(f326(f328(f921(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910))),f326(f326(f251(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910)),x100982),x100983)),a69))+P106(f326(f326(f328(f921(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910))),f326(f326(f251(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910)),f326(f326(f308(f921(a914,a914)),x100981),x100982)),x100983)),a69))
% 178.51/178.26 [10099]~P106(f326(f326(f328(f921(a914,a914)),x100994),x100993))+~P106(f326(f326(f328(f921(f921(a914,a914),f921(a914,a914))),f326(f326(f251(f921(a914,a914),f921(a914,a914)),x100991),x100994)),a32))+~P106(f326(f326(f328(f921(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910))),f326(f326(f251(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910)),x100992),x100993)),a34))+P106(f326(f326(f328(f921(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910))),f326(f326(f251(f922(f921(a914,a914),a910),f922(f921(a914,a914),a910)),f326(f326(f308(f921(a914,a914)),x100991),x100992)),x100993)),a34))
% 178.51/178.26 [6228]~P6(x62284,x62281)+~P106(f326(f326(x62281,x62282),x62285))+P106(f326(f326(x62281,x62282),x62283))+~P106(f326(f326(x62281,x62285),x62283))
% 178.51/178.26 [6229]~P49(x62294,x62291)+~P106(f326(f326(x62291,x62292),x62295))+P106(f326(f326(x62291,x62292),x62293))+~P106(f326(f326(x62291,x62295),x62293))
% 178.51/178.26 [6230]~P14(x62304,x62301)+~P106(f326(f326(x62301,x62302),x62305))+P106(f326(f326(x62301,x62302),x62303))+~P106(f326(f326(x62301,x62305),x62303))
% 178.51/178.26 [8905]~P6(x89054,x89053)+~P106(f326(x89051,x89055))+P106(f326(x89052,f833(x89052,x89051,x89053,x89054)))+P106(f326(x89051,f832(x89052,x89051,x89053,x89054)))
% 178.51/178.26 [9139]~P6(x91394,x91393)+~P106(f326(x91392,x91395))+~P106(f326(x91391,f832(x91391,x91392,x91393,x91394)))+P106(f326(x91391,f833(x91391,x91392,x91393,x91394)))
% 178.51/178.26 [9321]~P6(x93214,x93213)+~P106(f326(x93211,x93215))+P106(f326(f326(f328(x93214),f833(x93212,x93211,x93213,x93214)),f269(x93214,x93213)))+P106(f326(x93211,f832(x93212,x93211,x93213,x93214)))
% 178.51/178.26 [9445]~P6(x94451,x94454)+~P106(f326(x94453,x94455))+~P106(f326(x94452,f832(x94452,x94453,x94454,x94451)))+P106(f326(f326(f328(x94451),f833(x94452,x94453,x94454,x94451)),f269(x94451,x94454)))
% 178.51/178.26 [9743]~P38(x97431,x97434)+P106(f326(f326(f328(f921(f915(x97431),f915(x97431))),f326(f326(f251(f915(x97431),f915(x97431)),x97432),x97433)),f147(x97431,x97434)))+~P106(f326(f326(f328(f921(f915(x97431),f915(x97431))),f326(f326(f251(f915(x97431),f915(x97431)),x97432),x97435)),f147(x97431,x97434)))+~P106(f326(f326(f328(f921(f915(x97431),f915(x97431))),f326(f326(f251(f915(x97431),f915(x97431)),x97435),x97433)),f147(x97431,x97434)))
% 178.51/178.26 [5468]~P67(x54685)+E(x54681,x54682)+~E(x54683,x54684)+~E(f326(f326(f3(x54685),x54683),x54684),f326(f326(f3(x54685),x54681),x54682))
% 178.51/178.26 [6345]~P16(x63455,x63451,x63453)+E(f326(f326(x63451,x63452),f326(x63453,x63454)),f326(x63453,x63454))+~P106(f326(f61(x63455),x63454))+~P106(f326(f326(f328(x63455),x63452),x63454))
% 178.51/178.26 [6537]~P80(x65371)+~E(f326(f326(f3(x65371),x65374),x65375),f326(f326(f3(x65371),x65372),x65373))+~P106(f326(f326(f234(x65371),x65374),x65375))+P106(f326(f326(f234(x65371),x65372),x65373))
% 178.51/178.26 [6539]~P80(x65391)+~E(f326(f326(f3(x65391),x65394),x65395),f326(f326(f3(x65391),x65392),x65393))+~P106(f326(f326(f235(x65391),x65394),x65395))+P106(f326(f326(f235(x65391),x65392),x65393))
% 178.51/178.26 [7511]~E(x75112,f326(f326(f151(x75111),x75114),x75115))+P106(f326(f326(f328(f915(x75111)),x75112),f161(x75111,x75113)))+~P106(f326(f326(f328(f915(x75111)),x75115),f161(x75111,x75113)))+~P106(f326(f326(f328(x75111),x75114),x75113))
% 178.51/178.26 [7911]~E(f326(f189(f915(x79111)),x79113),f326(f189(f915(x79112)),x79114))+~E(f326(f326(f154(f921(x79111,x79112),x79112),f255(x79111,x79112)),x79115),x79114)+~E(f326(f326(f154(f921(x79111,x79112),x79111),f250(x79111,x79112)),x79115),x79113)+E(f326(f326(f181(x79111,x79112),x79113),x79114),x79115)
% 178.51/178.26 [8240]~P110(x82401)+P106(f326(f326(f235(f922(x82401,a910)),f302(x82401,x82402,x82403)),f302(x82401,x82404,x82405)))+~P106(f326(f326(f234(x82401),x82404),x82405))+P106(f326(f326(f234(x82401),x82402),x82403))
% 178.51/178.26 [8334]~P110(x83341)+P106(f326(f326(f234(f922(x83341,a910)),f302(x83341,x83342,x83343)),f302(x83341,x83344,x83345)))+~P106(f326(f326(f234(x83341),x83343),x83345))+~P106(f326(f326(f234(x83341),x83344),x83342))
% 178.51/178.26 [8452]~P109(x84521)+P106(f326(f326(f234(x84521),x84522),x84523))+P106(f326(f326(f234(x84521),x84524),x84523))+~P106(f326(f326(f234(f922(x84521,a910)),f326(f301(x84521,x84523),x84522)),f326(f301(x84521,x84524),x84525)))
% 178.51/178.26 [8453]~P109(x84531)+P106(f326(f326(f234(x84531),x84532),x84533))+P106(f326(f326(f234(x84531),x84532),x84534))+~P106(f326(f326(f234(f922(x84531,a910)),f326(f301(x84531,x84533),x84532)),f326(f301(x84531,x84535),x84534)))
% 178.51/178.26 [8683]~P110(x86831)+~P106(f326(f326(f234(f922(x86831,a910)),f302(x86831,x86834,x86832)),f302(x86831,x86835,x86833)))+P106(f326(f326(f234(x86831),x86832),x86833))+~P106(f326(f326(f234(x86831),x86834),x86832))
% 178.51/178.26 [8684]~P110(x86841)+~P106(f326(f326(f235(f922(x86841,a910)),f302(x86841,x86844,x86842)),f302(x86841,x86845,x86843)))+P106(f326(f326(f234(x86841),x86842),x86843))+~P106(f326(f326(f234(x86841),x86844),x86842))
% 178.51/178.26 [8685]~P110(x86851)+~P106(f326(f326(f234(f922(x86851,a910)),f302(x86851,x86853,x86854)),f302(x86851,x86852,x86855)))+P106(f326(f326(f234(x86851),x86852),x86853))+~P106(f326(f326(f234(x86851),x86853),x86854))
% 178.51/178.26 [8686]~P110(x86861)+~P106(f326(f326(f235(f922(x86861,a910)),f302(x86861,x86863,x86864)),f302(x86861,x86862,x86865)))+P106(f326(f326(f234(x86861),x86862),x86863))+~P106(f326(f326(f234(x86861),x86863),x86864))
% 178.51/178.26 [6227]~P16(x62272,x62275,x62273)+E(x62271,f188(f922(x62272,a910)))+~P106(f326(f61(x62272),x62271))+E(f326(x62273,f326(f326(f308(x62272),x62274),x62271)),f326(f326(x62275,x62274),f326(x62273,x62271)))
% 178.51/178.26 [7009]~E(x70091,x70092)+~E(f326(f326(f101(f922(x70093,a910)),x70094),x70095),f188(f922(x70093,a910)))+~P106(f326(f326(f328(x70093),x70092),x70095))+~P106(f326(f326(f328(x70093),x70091),x70094))
% 178.51/178.26 [7087]~P17(x70872,x70875,x70871)+~P106(f326(f61(x70872),x70874))+E(f326(x70871,f326(f326(f308(x70872),x70873),x70874)),f326(f326(f64(x70872,x70872,x70875),x70873),x70874))+P106(f326(f326(f328(x70872),x70873),x70874))
% 178.51/178.26 [7155]~P70(x71552)+~P106(f326(f61(x71551),x71555))+E(f326(f326(f8(x71551,x71552),x71553),f326(f326(f308(x71551),x71554),x71555)),f326(f326(f79(x71552),f326(x71553,x71554)),f326(f326(f8(x71551,x71552),x71553),x71555)))+P106(f326(f326(f328(x71551),x71554),x71555))
% 178.51/178.26 [7157]~P75(x71572)+~P106(f326(f61(x71571),x71575))+E(f326(f326(f11(x71571,x71572),x71573),f326(f326(f308(x71571),x71574),x71575)),f326(f326(f80(x71572),f326(x71573,x71574)),f326(f326(f11(x71571,x71572),x71573),x71575)))+P106(f326(f326(f328(x71571),x71574),x71575))
% 178.51/178.26 [7658]~P17(x76582,x76585,x76581)+~P106(f326(f61(x76582),x76584))+E(f326(x76581,f326(f326(f308(x76582),x76583),x76584)),x76583)+~E(f326(f326(f3(f922(x76582,a910)),x76584),f326(f326(f308(x76582),x76583),f188(f922(x76582,a910)))),f188(f922(x76582,a910)))
% 178.51/178.26 [7983]~P113(x79831)+~P106(f326(f326(f286(x79831),x79832),x79834))+~P106(f326(f326(f234(a914),x79833),x79835))+P106(f326(f326(f286(x79831),f326(f326(f243(x79831),x79832),x79833)),f326(f326(f243(x79831),x79834),x79835)))
% 178.51/178.26 [8014]~P101(x80141)+~P106(f326(f326(f234(x80141),x80143),x80145))+~P106(f326(f326(f234(x80141),x80142),x80144))+P106(f326(f326(f234(x80141),f326(f326(f110(x80141),x80142),x80143)),f326(f326(f110(x80141),x80144),x80145)))
% 178.51/178.26 [8015]~P102(x80151)+~P106(f326(f326(f234(x80151),x80153),x80155))+~P106(f326(f326(f234(x80151),x80152),x80154))+P106(f326(f326(f234(x80151),f326(f326(f101(x80151),x80152),x80153)),f326(f326(f101(x80151),x80154),x80155)))
% 178.51/178.26 [8016]~P86(x80161)+~P106(f326(f326(f234(x80161),x80163),x80165))+~P106(f326(f326(f234(x80161),x80162),x80164))+P106(f326(f326(f234(x80161),f326(f326(f79(x80161),x80162),x80163)),f326(f326(f79(x80161),x80164),x80165)))
% 178.51/178.26 [8017]~P109(x80171)+~P106(f326(f326(f234(x80171),x80173),x80175))+~P106(f326(f326(f234(x80171),x80172),x80174))+P106(f326(f326(f234(x80171),f326(f326(f232(x80171),x80172),x80173)),f326(f326(f232(x80171),x80174),x80175)))
% 178.51/178.26 [8018]~P109(x80181)+~P106(f326(f326(f234(x80181),x80183),x80185))+~P106(f326(f326(f234(x80181),x80182),x80184))+P106(f326(f326(f234(x80181),f326(f326(f233(x80181),x80182),x80183)),f326(f326(f233(x80181),x80184),x80185)))
% 178.51/178.26 [8019]~P84(x80191)+~P106(f326(f326(f234(x80191),x80193),x80195))+~P106(f326(f326(f235(x80191),x80192),x80194))+P106(f326(f326(f235(x80191),f326(f326(f79(x80191),x80192),x80193)),f326(f326(f79(x80191),x80194),x80195)))
% 178.51/178.26 [8020]~P84(x80201)+~P106(f326(f326(f234(x80201),x80202),x80204))+~P106(f326(f326(f235(x80201),x80203),x80205))+P106(f326(f326(f235(x80201),f326(f326(f79(x80201),x80202),x80203)),f326(f326(f79(x80201),x80204),x80205)))
% 178.51/178.26 [8021]~P84(x80211)+~P106(f326(f326(f235(x80211),x80213),x80215))+~P106(f326(f326(f235(x80211),x80212),x80214))+P106(f326(f326(f235(x80211),f326(f326(f79(x80211),x80212),x80213)),f326(f326(f79(x80211),x80214),x80215)))
% 178.51/178.26 [8156]~P138(x81565)+E(x81561,x81562)+E(x81563,x81564)+~E(f326(f326(f79(x81565),f326(f326(f80(x81565),x81563),x81561)),f326(f326(f80(x81565),x81564),x81562)),f326(f326(f79(x81565),f326(f326(f80(x81565),x81563),x81562)),f326(f326(f80(x81565),x81564),x81561)))
% 178.51/178.26 [8354]~P109(x83544)+~P106(f326(f137(x83541),x83543))+P106(f326(f326(f328(x83541),x83542),f326(f172(x83541),x83543)))+P106(f326(f137(x83541),f326(f326(f148(x83541,x83544,x83545),x83542),x83543)))
% 178.51/178.26 [8499]~P67(x84991)+E(f326(f326(f3(x84991),f326(f326(f8(a914,x84991),x84992),f326(f301(a914,x84993),x84994))),f326(f326(f8(a914,x84991),x84992),f326(f301(a914,x84993),x84995))),f326(f326(f8(a914,x84991),x84992),f326(f301(a914,x84995),x84994)))+~P106(f326(f326(f234(a914),x84995),x84994))+~P106(f326(f326(f234(a914),x84993),x84995))
% 178.51/178.26 [8500]~P70(x85001)+E(f326(f326(f79(x85001),f326(f326(f8(a914,x85001),x85002),f326(f301(a914,x85003),x85004))),f326(f326(f8(a914,x85001),x85002),f326(f301(a914,x85004),x85005))),f326(f326(f8(a914,x85001),x85002),f326(f301(a914,x85003),x85005)))+~P106(f326(f326(f234(a914),x85004),x85005))+~P106(f326(f326(f234(a914),x85003),x85004))
% 178.51/178.26 [8826]~P64(x88262)+E(x88261,f2(x88262))+E(x88263,f2(x88262))+E(f326(f326(f289(x88262),f326(f326(f3(x88262),f326(f326(f80(x88262),x88264),x88261)),f326(f326(f80(x88262),x88265),x88263))),f326(f326(f80(x88262),x88263),x88261)),f326(f326(f3(x88262),f326(f326(f289(x88262),x88264),x88263)),f326(f326(f289(x88262),x88265),x88261)))
% 178.51/178.26 [8827]~P64(x88272)+E(x88271,f2(x88272))+E(x88273,f2(x88272))+E(f326(f326(f289(x88272),f326(f326(f79(x88272),f326(f326(f80(x88272),x88274),x88271)),f326(f326(f80(x88272),x88275),x88273))),f326(f326(f80(x88272),x88273),x88271)),f326(f326(f79(x88272),f326(f326(f289(x88272),x88274),x88273)),f326(f326(f289(x88272),x88275),x88271)))
% 178.51/178.26 [8836]~E(x88362,f326(x88363,x88361))+E(x88361,f521(x88362,x88363,x88364,x88365))+~P24(x88365,x88364,x88363,f241(f922(x88365,a910)))+~P106(f326(f326(f328(x88364),x88362),f326(f309(x88365,x88364,x88363),f241(f922(x88365,a910)))))
% 178.51/178.26 [9053]~P119(x90531)+~P106(f326(f326(f235(x90531),f326(f75(x90531),x90532)),x90534))+P106(f326(f326(f235(x90531),f326(f326(f80(x90531),f326(f75(x90531),x90532)),f326(f75(x90531),x90533))),f326(f326(f80(x90531),x90534),x90535)))+~P106(f326(f326(f235(x90531),f326(f75(x90531),x90533)),x90535))
% 178.51/178.26 [9164]~P24(x91641,x91643,x91645,x91642)+~P106(f326(f61(x91643),x91644))+P106(f326(f326(f234(a914),f326(f35(x91641),x91642)),f326(f35(x91643),x91644)))+~P106(f326(f326(f234(f922(x91643,a910)),f326(f309(x91641,x91643,x91645),x91642)),x91644))
% 178.51/178.26 [9231]~P70(x92312)+~P24(x92311,x92311,x92314,x92315)+~P106(f326(f61(x92311),x92315))+E(f326(f326(f8(x92311,x92312),f326(f72(x92311,x92312,x92311,x92313),x92314)),x92315),f326(f326(f8(x92311,x92312),x92313),f326(f309(x92311,x92311,x92314),x92315)))
% 178.51/178.26 [9232]~P75(x92322)+~P24(x92321,x92321,x92324,x92325)+~P106(f326(f61(x92321),x92325))+E(f326(f326(f11(x92321,x92322),f326(f72(x92321,x92322,x92321,x92323),x92324)),x92325),f326(f326(f11(x92321,x92322),x92323),f326(f309(x92321,x92321,x92324),x92325)))
% 178.51/178.26 [9350]~P37(x93501,x93502)+~P106(f326(f326(f328(x93501),x93503),x93504))+~P106(f326(f326(f328(x93501),x93505),x93504))+~P106(f326(f326(f328(f921(x93501,x93501)),f326(f326(f251(x93501,x93501),x93505),f612(x93502,x93501,x93504))),x93502))
% 178.51/178.26 [9385]~P24(x93852,x93853,x93855,x93851)+E(x93851,f188(f922(x93852,a910)))+E(f326(f309(x93853,x93852,f524(x93854,x93853,x93852,x93851)),x93854),x93851)+~P106(f326(f326(f234(f922(x93853,a910)),f326(f309(x93852,x93853,x93855),x93851)),x93854))
% 178.51/178.26 [9878]~P109(x98785)+~P4(x98785)+P106(f326(f326(f328(x98781),f464(x98782,x98783,x98781,x98784,x98785)),x98783))+~P106(f326(f326(f235(x98785),x98784),f326(f326(f40(x98781,x98785),x98783),x98782)))
% 178.51/178.26 [9883]~P109(x98831)+~P4(x98831)+P106(f326(f326(f235(x98831),x98832),f326(x98833,f464(x98833,x98834,x98835,x98832,x98831))))+~P106(f326(f326(f235(x98831),x98832),f326(f326(f40(x98835,x98831),x98834),x98833)))
% 178.51/178.26 [9961]~P68(x99611)+~P106(f326(f66(x99611,x99611,f80(x99611),x99612,x99613),x99615))+P106(f326(f326(f328(x99611),x99612),x99613))+P106(f326(f66(x99611,x99611,f80(x99611),x99614,f326(f326(f308(x99611),x99612),x99613)),f326(f326(f80(x99611),x99614),x99615)))
% 178.51/178.26 [10165]~P70(x101652)+~P106(f326(f61(x101651),x101655))+E(f326(f326(f8(x101651,x101652),f326(f326(f9(x101651,x101652,x101652),f326(f326(f20(x101651,x101652,f922(x101652,x101652)),f326(f326(f10(a910,f922(x101652,f922(x101652,x101652)),x101651),f96(x101652)),f326(a323,x101653))),x101654)),f2(x101652))),x101655),f2(x101652))+P106(f326(f326(f328(x101651),x101653),x101655))
% 178.51/178.26 [10166]~P75(x101662)+~P106(f326(f61(x101661),x101665))+E(f326(f326(f11(x101661,x101662),f326(f326(f9(x101661,x101662,x101662),f326(f326(f20(x101661,x101662,f922(x101662,x101662)),f326(f326(f10(a910,f922(x101662,f922(x101662,x101662)),x101661),f96(x101662)),f326(a323,x101663))),x101664)),f77(x101662))),x101665),f77(x101662))+P106(f326(f326(f328(x101661),x101663),x101665))
% 178.51/178.26 [10167]~P70(x101672)+~P106(f326(f61(x101671),x101675))+E(f326(f326(f8(x101671,x101672),f326(f326(f9(x101671,x101672,x101672),f326(f326(f20(x101671,x101672,f922(x101672,x101672)),f326(f326(f10(a910,f922(x101672,f922(x101672,x101672)),x101671),f96(x101672)),f326(a323,x101673))),x101674)),f2(x101672))),x101675),f326(x101674,x101673))+~P106(f326(f326(f328(x101671),x101673),x101675))
% 178.51/178.26 [10168]~P75(x101682)+~P106(f326(f61(x101681),x101685))+E(f326(f326(f11(x101681,x101682),f326(f326(f9(x101681,x101682,x101682),f326(f326(f20(x101681,x101682,f922(x101682,x101682)),f326(f326(f10(a910,f922(x101682,f922(x101682,x101682)),x101681),f96(x101682)),f326(a323,x101683))),x101684)),f77(x101682))),x101685),f326(x101684,x101683))+~P106(f326(f326(f328(x101681),x101683),x101685))
% 178.51/178.26 [10221]~P70(x102212)+~P106(f326(f61(x102211),x102215))+E(f326(f326(f8(x102211,x102212),f326(f326(f9(x102211,x102212,x102212),f326(f326(f20(x102211,x102212,f922(x102212,x102212)),f326(f326(f10(a910,f922(x102212,f922(x102212,x102212)),x102211),f96(x102212)),f326(f326(f9(x102211,x102211,a910),a323),x102213))),x102214)),f2(x102212))),x102215),f2(x102212))+P106(f326(f326(f328(x102211),x102213),x102215))
% 178.51/178.26 [10222]~P75(x102222)+~P106(f326(f61(x102221),x102225))+E(f326(f326(f11(x102221,x102222),f326(f326(f9(x102221,x102222,x102222),f326(f326(f20(x102221,x102222,f922(x102222,x102222)),f326(f326(f10(a910,f922(x102222,f922(x102222,x102222)),x102221),f96(x102222)),f326(f326(f9(x102221,x102221,a910),a323),x102223))),x102224)),f77(x102222))),x102225),f77(x102222))+P106(f326(f326(f328(x102221),x102223),x102225))
% 178.51/178.26 [10224]~P70(x102242)+~P106(f326(f61(x102241),x102245))+E(f326(f326(f8(x102241,x102242),f326(f326(f9(x102241,x102242,x102242),f326(f326(f20(x102241,x102242,f922(x102242,x102242)),f326(f326(f10(a910,f922(x102242,f922(x102242,x102242)),x102241),f96(x102242)),f326(f326(f9(x102241,x102241,a910),a323),x102243))),x102244)),f2(x102242))),x102245),f326(x102244,x102243))+~P106(f326(f326(f328(x102241),x102243),x102245))
% 178.51/178.26 [10225]~P75(x102252)+~P106(f326(f61(x102251),x102255))+E(f326(f326(f11(x102251,x102252),f326(f326(f9(x102251,x102252,x102252),f326(f326(f20(x102251,x102252,f922(x102252,x102252)),f326(f326(f10(a910,f922(x102252,f922(x102252,x102252)),x102251),f96(x102252)),f326(f326(f9(x102251,x102251,a910),a323),x102253))),x102254)),f77(x102252))),x102255),f326(x102254,x102253))+~P106(f326(f326(f328(x102251),x102253),x102255))
% 178.51/178.26 [8013]~P67(x80132)+~P106(f326(f61(x80131),x80134))+E(f326(f326(f8(x80131,x80132),x80133),f326(f326(f3(f922(x80131,a910)),x80134),f326(f326(f308(x80131),x80135),f188(f922(x80131,a910))))),f326(f326(f8(x80131,x80132),x80133),x80134))+P106(f326(f326(f328(x80131),x80135),x80134))
% 178.51/178.26 [8507]~P111(x85072)+~P106(f326(f61(x85071),x85074))+E(f326(f326(f8(x85071,x85072),x85073),f326(f326(f3(f922(x85071,a910)),x85074),f326(f326(f308(x85071),x85075),f188(f922(x85071,a910))))),f326(f326(f3(x85072),f326(f326(f8(x85071,x85072),x85073),x85074)),f326(x85073,x85075)))+~P106(f326(f326(f328(x85071),x85075),x85074))
% 178.51/178.26 [8508]~P67(x85082)+~P106(f326(f61(x85081),x85084))+E(f326(f326(f8(x85081,x85082),x85083),f326(f326(f3(f922(x85081,a910)),x85084),f326(f326(f308(x85081),x85085),f188(f922(x85081,a910))))),f326(f326(f3(x85082),f326(f326(f8(x85081,x85082),x85083),x85084)),f326(x85083,x85085)))+~P106(f326(f326(f328(x85081),x85085),x85084))
% 178.51/178.26 [8520]~P113(x85201)+~P106(f326(f326(f234(a914),x85203),x85205))+~P106(f326(f326(f286(x85201),f326(f326(f243(x85201),x85202),x85205)),x85204))+P106(f326(f326(f286(x85201),f326(f326(f243(x85201),x85202),x85203)),x85204))
% 178.51/178.26 [8538]~P67(x85381)+~P106(f326(f61(x85382),x85384))+E(f326(f326(f3(x85381),f326(f326(f8(x85382,x85381),x85383),x85384)),f326(f326(f8(x85382,x85381),x85383),x85385)),f326(f326(f8(x85382,x85381),x85383),f326(f326(f3(f922(x85382,a910)),x85384),x85385)))+~P106(f326(f326(f234(f922(x85382,a910)),x85385),x85384))
% 178.51/178.26 [8557]P106(f326(f61(x85571),f326(x85572,x85573)))+~P106(f326(f61(x85574),x85575))+~P106(f326(f326(f328(x85574),x85573),x85575))+~P106(f326(f61(x85571),f326(f326(f40(x85574,f922(x85571,a910)),x85575),x85572)))
% 178.51/178.26 [9009]~P7(x90091,x90095,x90094)+~E(f326(f284(x90091,x90091,x90094),f326(f326(f308(x90091),x90092),f188(f922(x90091,a910)))),f326(f284(x90091,x90091,x90094),f326(f326(f308(x90091),x90093),f188(f922(x90091,a910)))))+~P106(f326(f326(f328(x90091),x90093),x90095))+P106(f326(f326(f328(f921(x90091,x90091)),f326(f326(f251(x90091,x90091),x90092),x90093)),x90094))
% 178.51/178.26 [9306]~P106(f326(x93061,x93065))+P106(f326(x93061,f358(x93061,x93062,x93063,x93064)))+P106(f326(x93061,f346(x93061,x93062,x93063,x93064)))+~P106(f326(f326(f328(x93064),x93065),f326(f326(f110(f922(x93064,a910)),x93063),x93062)))
% 178.51/178.26 [9492]~P106(f326(x94921,x94925))+P106(f326(x94921,f346(x94921,x94922,x94923,x94924)))+P106(f326(f326(f328(x94924),f358(x94921,x94922,x94923,x94924)),x94922))+~P106(f326(f326(f328(x94924),x94925),f326(f326(f110(f922(x94924,a910)),x94923),x94922)))
% 178.51/178.26 [9493]~P106(f326(x94931,x94935))+P106(f326(x94931,f358(x94931,x94932,x94933,x94934)))+P106(f326(f326(f328(x94934),f346(x94931,x94932,x94933,x94934)),x94933))+~P106(f326(f326(f328(x94934),x94935),f326(f326(f110(f922(x94934,a910)),x94933),x94932)))
% 178.51/178.26 [9497]P106(f326(x94971,x94972))+~P106(f326(x94971,f403(x94971,x94973,x94974,x94975)))+~P106(f326(x94971,f392(x94971,x94973,x94974,x94975)))+~P106(f326(f326(f328(x94975),x94972),f326(f326(f110(f922(x94975,a910)),x94974),x94973)))
% 178.51/178.26 [9502]~P38(x95021,x95024)+~P106(f326(f326(f328(f921(x95021,x95021)),f326(f326(f251(x95021,x95021),x95022),x95025)),x95024))+P106(f326(f326(f328(f921(x95021,x95021)),f326(f326(f251(x95021,x95021),x95022),x95023)),x95024))+~P106(f326(f326(f328(f921(x95021,x95021)),f326(f326(f251(x95021,x95021),x95025),x95023)),x95024))
% 178.51/178.26 [9541]E(x95411,x95412)+~P106(f326(f326(f328(f921(x95413,x95413)),f326(f326(f251(x95413,x95413),x95411),x95412)),f306(x95413,x95415)))+P106(f326(f326(f328(x95413),x95411),x95414))+~P106(f326(f326(f234(f922(f921(x95413,x95413),a910)),x95415),f326(f326(f253(x95413,x95413),x95414),f326(f18(f922(x95413,a910),x95413),x95414))))
% 178.51/178.26 [9559]P106(f326(x95591,x95592))+~P106(f326(x95591,f392(x95591,x95594,x95595,x95593)))+P106(f326(f326(f328(x95593),f403(x95591,x95594,x95595,x95593)),x95594))+~P106(f326(f326(f328(x95593),x95592),f326(f326(f110(f922(x95593,a910)),x95595),x95594)))
% 178.51/178.26 [9560]P106(f326(x95601,x95602))+~P106(f326(x95601,f403(x95601,x95604,x95605,x95603)))+P106(f326(f326(f328(x95603),f392(x95601,x95604,x95605,x95603)),x95605))+~P106(f326(f326(f328(x95603),x95602),f326(f326(f110(f922(x95603,a910)),x95605),x95604)))
% 178.51/178.26 [9626]P106(f326(x96261,x96262))+P106(f326(f326(f328(x96263),f403(x96261,x96264,x96265,x96263)),x96264))+P106(f326(f326(f328(x96263),f392(x96261,x96264,x96265,x96263)),x96265))+~P106(f326(f326(f328(x96263),x96262),f326(f326(f110(f922(x96263,a910)),x96265),x96264)))
% 178.51/178.26 [9628]~P106(f326(x96282,x96285))+P106(f326(f326(f328(x96281),f358(x96282,x96283,x96284,x96281)),x96283))+P106(f326(f326(f328(x96281),f346(x96282,x96283,x96284,x96281)),x96284))+~P106(f326(f326(f328(x96281),x96285),f326(f326(f110(f922(x96281,a910)),x96284),x96283)))
% 178.51/178.26 [9785]~P7(x97851,x97855,x97854)+~P106(f326(f326(f328(x97851),x97853),x97855))+P106(f326(f326(f328(f921(x97851,x97851)),f326(f326(f251(x97851,x97851),x97852),x97853)),x97854))+~P106(f326(f326(f234(f922(x97851,a910)),f326(f284(x97851,x97851,x97854),f326(f326(f308(x97851),x97853),f188(f922(x97851,a910))))),f326(f284(x97851,x97851,x97854),f326(f326(f308(x97851),x97852),f188(f922(x97851,a910))))))
% 178.51/178.26 [9912]~P109(x99125)+~P4(x99125)+P106(f326(f326(f328(x99121),f422(x99122,x99123,x99124,x99121,x99125)),x99124))+~P106(f326(f326(f235(x99125),f326(f326(f39(x99121,x99125),x99124),x99123)),x99122))
% 178.51/178.26 [9944]~P86(x99445)+~P83(x99445)+P106(f326(f326(f328(x99441),f695(x99442,x99443,x99444,x99441,x99445)),f326(f172(x99441),x99444)))+P106(f326(f326(f234(x99445),f326(f165(x99445),f326(f326(f154(x99441,x99445),x99443),x99444))),f326(f165(x99445),f326(f326(f154(x99441,x99445),x99442),x99444))))
% 178.51/178.26 [10053]~P109(x100531)+~P4(x100531)+P106(f326(f326(f235(x100531),f326(x100532,f422(x100533,x100532,x100534,x100535,x100531))),x100533))+~P106(f326(f326(f235(x100531),f326(f326(f39(x100535,x100531),x100534),x100532)),x100533))
% 178.51/178.26 [10183]~P86(x101831)+~P83(x101831)+~P106(f326(f326(f234(x101831),f326(x101833,f695(x101835,x101833,x101834,x101832,x101831))),f326(x101835,f695(x101835,x101833,x101834,x101832,x101831))))+P106(f326(f326(f234(x101831),f326(f165(x101831),f326(f326(f154(x101832,x101831),x101833),x101834))),f326(f165(x101831),f326(f326(f154(x101832,x101831),x101835),x101834))))
% 178.51/178.26 [8849]~P70(x88491)+~P106(f326(f61(x88494),x88495))+~P106(f326(f326(f328(x88494),x88493),x88495))+E(f326(f326(f79(x88491),f326(x88492,x88493)),f326(f326(f8(x88494,x88491),x88492),f326(f326(f3(f922(x88494,a910)),x88495),f326(f326(f308(x88494),x88493),f188(f922(x88494,a910)))))),f326(f326(f8(x88494,x88491),x88492),x88495))
% 178.51/178.26 [8850]~P75(x88501)+~P106(f326(f61(x88504),x88505))+~P106(f326(f326(f328(x88504),x88503),x88505))+E(f326(f326(f80(x88501),f326(x88502,x88503)),f326(f326(f11(x88504,x88501),x88502),f326(f326(f3(f922(x88504,a910)),x88505),f326(f326(f308(x88504),x88503),f188(f922(x88504,a910)))))),f326(f326(f11(x88504,x88501),x88502),x88505))
% 178.51/178.26 [8910]~P17(x89101,x89104,x89105)+~P106(f326(f61(x89101),x89102))+E(f326(f326(f3(f922(x89101,a910)),x89102),f326(f326(f308(x89101),x89103),f188(f922(x89101,a910)))),f188(f922(x89101,a910)))+E(f326(f326(x89104,x89103),f326(x89105,f326(f326(f3(f922(x89101,a910)),x89102),f326(f326(f308(x89101),x89103),f188(f922(x89101,a910)))))),f326(x89105,f326(f326(f308(x89101),x89103),x89102)))
% 178.51/178.26 [9285]~P75(x92851)+~P106(f326(f61(x92852),x92855))+~P106(f326(f61(x92852),x92854))+E(f326(f326(f80(x92851),f326(f326(f11(x92852,x92851),x92853),f326(f326(f110(f922(x92852,a910)),x92854),x92855))),f326(f326(f11(x92852,x92851),x92853),f326(f326(f101(f922(x92852,a910)),x92854),x92855))),f326(f326(f80(x92851),f326(f326(f11(x92852,x92851),x92853),x92854)),f326(f326(f11(x92852,x92851),x92853),x92855)))
% 178.51/178.26 [9286]~P70(x92861)+~P106(f326(f61(x92862),x92865))+~P106(f326(f61(x92862),x92864))+E(f326(f326(f79(x92861),f326(f326(f8(x92862,x92861),x92863),f326(f326(f110(f922(x92862,a910)),x92864),x92865))),f326(f326(f8(x92862,x92861),x92863),f326(f326(f101(f922(x92862,a910)),x92864),x92865))),f326(f326(f79(x92861),f326(f326(f8(x92862,x92861),x92863),x92864)),f326(f326(f8(x92862,x92861),x92863),x92865)))
% 178.51/178.26 [9425]~P67(x94251)+~P106(f326(f61(x94252),x94255))+~P106(f326(f61(x94252),x94254))+E(f326(f326(f3(x94251),f326(f326(f79(x94251),f326(f326(f8(x94252,x94251),x94253),x94254)),f326(f326(f8(x94252,x94251),x94253),x94255))),f326(f326(f8(x94252,x94251),x94253),f326(f326(f101(f922(x94252,a910)),x94254),x94255))),f326(f326(f8(x94252,x94251),x94253),f326(f326(f110(f922(x94252,a910)),x94254),x94255)))
% 178.51/178.26 [9642]~P24(x96421,x96422,x96423,x96425)+~P24(x96421,x96422,x96423,x96424)+P24(x96421,x96422,x96423,f326(f326(f110(f922(x96421,a910)),x96424),x96425))+~E(f326(f326(f101(f922(x96422,a910)),f326(f309(x96421,x96422,x96423),f326(f326(f3(f922(x96421,a910)),x96424),x96425))),f326(f309(x96421,x96422,x96423),f326(f326(f3(f922(x96421,a910)),x96425),x96424))),f188(f922(x96422,a910)))
% 178.51/178.26 [9760]E(x97601,f2(a1))+~P106(f326(f326(f235(a1),f2(a1)),x97603))+~P106(f326(f49(x97602,x97601),f326(f326(f251(a1,a1),x97604),x97605)))+P106(f326(f49(x97602,f326(f326(f80(a1),x97601),x97603)),f326(f326(f251(a1,a1),f326(f326(f36(a1),x97604),x97603)),f326(f326(f79(a1),f326(f326(f80(a1),x97601),f45(a1,x97604,x97603))),x97605))))
% 178.51/178.26 [9768]~P106(f326(f326(f235(a914),f2(a914)),x97683))+~P106(f326(f326(f235(a914),f2(a914)),x97682))+~P106(f326(f48(x97681,x97682),f326(f326(f251(a914,a914),x97684),x97685)))+P106(f326(f48(x97681,f326(f326(f80(a914),x97682),x97683)),f326(f326(f251(a914,a914),f326(f326(f36(a914),x97684),x97683)),f326(f326(f79(a914),f326(f326(f80(a914),x97682),f45(a914,x97684,x97683))),x97685))))
% 178.51/178.26 [9817]~P75(x98171)+~P106(f326(f61(x98172),x98175))+~P106(f326(f61(x98172),x98174))+E(f326(f326(f80(x98171),f326(f326(f326(f65(x98171,x98172,f80(x98171)),x98173),f77(x98171)),f326(f326(f110(f922(x98172,a910)),x98174),x98175))),f326(f326(f326(f65(x98171,x98172,f80(x98171)),x98173),f77(x98171)),f326(f326(f101(f922(x98172,a910)),x98174),x98175))),f326(f326(f80(x98171),f326(f326(f326(f65(x98171,x98172,f80(x98171)),x98173),f77(x98171)),x98174)),f326(f326(f326(f65(x98171,x98172,f80(x98171)),x98173),f77(x98171)),x98175)))
% 178.51/178.26 [9819]~E(f326(f326(f175(x98191),x98195),x98192),f326(f326(f175(x98191),x98195),x98193))+P106(f326(f326(f328(f921(f915(x98191),f915(x98191))),f326(f326(f251(f915(x98191),f915(x98191)),x98192),x98193)),f147(x98191,x98194)))+~P106(f326(f326(f235(a914),x98195),f326(f326(f232(a914),f326(f189(f915(x98191)),x98192)),f326(f189(f915(x98191)),x98193))))+~P106(f326(f326(f328(f921(x98191,x98191)),f326(f326(f251(x98191,x98191),f326(f326(f164(x98191),x98192),x98195)),f326(f326(f164(x98191),x98193),x98195))),x98194))
% 178.51/178.26 [9933]~P86(x99335)+~P144(x99335)+P106(f326(f326(f328(x99331),f351(x99332,x99333,x99334,x99331,x99335)),x99334))+P106(f326(f326(f234(x99335),f326(f326(f8(x99331,x99335),x99333),x99334)),f326(f326(f80(x99335),f326(f100(x99335),f326(f35(x99331),x99334))),x99332)))
% 178.51/178.26 [10112]~P86(x101121)+~P144(x101121)+~P106(f326(f326(f234(x101121),f326(x101123,f351(x101125,x101123,x101124,x101122,x101121))),x101125))+P106(f326(f326(f234(x101121),f326(f326(f8(x101122,x101121),x101123),x101124)),f326(f326(f80(x101121),f326(f100(x101121),f326(f35(x101122),x101124))),x101125)))
% 178.51/178.26 [8878]E(f326(f326(f134(x88781),x88782),x88783),f326(f326(f134(x88781),x88784),x88785))+~E(f326(f326(f175(x88781),f326(f189(f915(x88781)),x88782)),x88784),x88782)+~E(f326(f326(f134(x88781),f326(f326(f138(x88781),f326(f189(f915(x88781)),x88782)),x88784)),x88785),x88783)+P106(f326(f326(f234(a914),f326(f189(f915(x88781)),x88784)),f326(f189(f915(x88781)),x88782)))
% 178.51/178.26 [9008]E(f326(f326(f134(x90081),x90082),x90083),f326(f326(f134(x90081),x90084),x90085))+~E(f326(f326(f175(x90081),f326(f189(f915(x90081)),x90082)),x90084),x90082)+~E(x90083,f326(f326(f134(x90081),f326(f326(f138(x90081),f326(f189(f915(x90081)),x90082)),x90084)),x90085))+~P106(f326(f326(f234(a914),f326(f189(f915(x90081)),x90082)),f326(f189(f915(x90081)),x90084)))
% 178.51/178.26 [10244]~P106(f326(x102445,x102444))+~P106(f326(f61(x102442),f326(f261(x102442),x102445)))+P106(f326(f61(x102441),f326(f261(x102441),f326(f326(f9(x102441,x102442,a910),x102443),x102444))))+~P106(f326(f61(x102441),f326(f261(x102441),f326(f326(f10(f922(x102442,a910),a910,x102441),f86(x102442)),f326(f326(f10(f922(x102442,a910),f922(x102442,a910),x102441),f326(f20(x102442,a910,a910),f326(f326(f10(a910,f922(a910,a910),x102442),a325),x102445))),x102443)))))
% 178.51/178.26 [10323]~P106(f326(f61(x103232),x103235))+~P106(f326(f326(f328(x103232),x103234),x103235))+P106(f326(f61(x103231),f326(f261(x103231),f326(f326(f9(x103231,x103232,a910),x103233),x103234))))+~P106(f326(f61(x103231),f326(f261(x103231),f326(f326(f10(f922(x103232,a910),a910,x103231),f86(x103232)),f326(f326(f10(f922(x103232,a910),f922(x103232,a910),x103231),f326(f20(x103232,a910,a910),f326(f326(f10(a910,f922(a910,a910),x103232),a325),f326(f326(f9(x103232,f922(x103232,a910),a910),f328(x103232)),x103235)))),x103233)))))
% 178.51/178.26 [8665]~P18(x86655,x86651,x86656,x86652)+E(f326(f72(x86651,x86651,x86651,f326(x86652,x86653)),f326(x86652,x86654)),f326(f72(x86651,x86651,x86651,f326(x86652,x86654)),f326(x86652,x86653)))+~P106(f326(f61(x86655),x86654))+~P106(f326(f61(x86655),x86653))
% 178.51/178.26 [8068]~P24(x80681,x80682,x80684,x80683)+~E(f326(x80684,x80686),x80685)+E(f326(f76(x80681,x80682,x80683,x80684),x80685),x80686)+~P106(f326(f326(f328(x80681),x80686),x80683))
% 178.51/178.26 [8069]~P24(x80691,x80692,x80694,x80693)+~E(f326(x80694,x80696),x80695)+E(f326(f91(x80691,x80692,x80693,x80694),x80695),x80696)+~P106(f326(f326(f328(x80691),x80696),x80693))
% 178.51/178.26 [8261]~P19(x82616,x82611,x82614,x82612)+E(f326(f72(x82611,x82611,x82611,f326(x82612,x82613)),f326(x82614,x82615)),f326(x82612,x82613))+~P106(f326(f61(x82616),x82613))+~P106(f326(f326(f328(x82616),x82615),x82613))
% 178.51/178.26 [9376]E(x93761,x93762)+~E(f326(f91(x93763,x93764,x93765,x93766),x93761),f326(f91(x93763,x93764,x93765,x93766),x93762))+~P106(f326(f326(f328(x93764),x93762),f326(f309(x93763,x93764,x93766),x93765)))+~P106(f326(f326(f328(x93764),x93761),f326(f309(x93763,x93764,x93766),x93765)))
% 178.51/178.26 [9476]~P18(x94763,x94761,x94766,x94762)+E(f326(f72(x94761,x94761,x94761,f326(x94762,f326(f326(f3(f922(x94763,a910)),x94764),f326(f326(f308(x94763),x94765),f188(f922(x94763,a910)))))),f326(x94766,x94765)),f326(x94762,x94764))+~P106(f326(f61(x94763),x94764))+~P106(f326(f326(f328(x94763),x94765),x94764))
% 178.51/178.26 [7160]~P61(x71601)+~E(f45(x71601,x71603,x71604),f45(x71601,x71606,x71604))+~E(f45(x71601,x71602,x71604),f45(x71601,x71605,x71604))+E(f45(x71601,f326(f326(f3(x71601),x71602),x71603),x71604),f45(x71601,f326(f326(f3(x71601),x71605),x71606),x71604))
% 178.51/178.26 [7161]~P60(x71611)+~E(f45(x71611,x71613,x71614),f45(x71611,x71616,x71614))+~E(f45(x71611,x71612,x71614),f45(x71611,x71615,x71614))+E(f45(x71611,f326(f326(f80(x71611),x71612),x71613),x71614),f45(x71611,f326(f326(f80(x71611),x71615),x71616),x71614))
% 178.51/178.26 [7162]~P60(x71621)+~E(f45(x71621,x71623,x71624),f45(x71621,x71626,x71624))+~E(f45(x71621,x71622,x71624),f45(x71621,x71625,x71624))+E(f45(x71621,f326(f326(f79(x71621),x71622),x71623),x71624),f45(x71621,f326(f326(f79(x71621),x71625),x71626),x71624))
% 178.51/178.26 [7965]~P15(x79651,x79652,x79653)+~P106(f326(f61(x79651),x79656))+E(f326(f326(f64(x79651,x79652,x79653),x79654),f326(f326(f308(x79651),x79655),x79656)),f326(f326(f64(x79651,x79652,x79653),f326(f326(x79653,x79655),x79654)),x79656))+P106(f326(f326(f328(x79651),x79655),x79656))
% 178.51/178.26 [8027]~P4(x80271)+P106(f326(f326(f234(x80271),x80272),f326(x80273,x80274)))+~P106(f326(f326(f328(x80275),x80274),x80276))+~P106(f326(f326(f234(x80271),x80272),f326(f326(f39(x80275,x80271),x80276),x80273)))
% 178.51/178.26 [8183]~P15(x81831,x81832,x81833)+~P106(f326(f61(x81831),x81836))+E(f326(f326(f64(x81831,x81832,x81833),x81834),f326(f326(f308(x81831),x81835),x81836)),f326(f326(x81833,x81835),f326(f326(f64(x81831,x81832,x81833),x81834),x81836)))+P106(f326(f326(f328(x81831),x81835),x81836))
% 178.51/178.26 [8278]~P109(x82783)+~P106(f326(x82782,x82785))+~P12(x82783,f326(f326(f154(x82781,x82783),x82784),x82786))+E(f326(f136(x82781,x82782),f326(f326(f148(x82781,x82783,x82784),x82785),x82786)),f326(f326(f148(x82781,x82783,x82784),x82785),f326(f136(x82781,x82782),x82786)))
% 178.51/178.26 [8298]E(x82981,x82982)+E(x82983,f2(a1))+~P106(f326(f49(x82984,x82983),f326(f326(f251(a1,a1),x82985),x82982)))+~P106(f326(f49(x82984,x82983),f326(f326(f251(a1,a1),x82986),x82981)))
% 178.51/178.26 [8299]E(x82991,x82992)+E(x82993,f2(a1))+~P106(f326(f49(x82994,x82993),f326(f326(f251(a1,a1),x82992),x82995)))+~P106(f326(f49(x82994,x82993),f326(f326(f251(a1,a1),x82991),x82996)))
% 178.51/178.26 [8320]~P18(x83202,x83205,x83206,x83201)+~P106(f326(f61(x83202),x83204))+E(f326(x83201,f326(f326(f308(x83202),x83203),x83204)),f326(f72(x83205,x83205,x83205,f326(x83201,x83204)),f326(x83206,x83203)))+P106(f326(f326(f328(x83202),x83203),x83204))
% 178.51/178.26 [8541]~P19(x85415,x85411,x85416,x85412)+E(f326(f72(x85411,x85411,x85411,f326(x85412,x85413)),f326(x85412,x85414)),f326(x85412,x85413))+~P106(f326(f61(x85415),x85413))+~P106(f326(f326(f234(f922(x85415,a910)),x85414),x85413))
% 178.51/178.26 [9690]~P24(x96901,x96902,x96904,x96903)+~P106(f326(f326(f328(x96902),x96905),f326(f309(x96901,x96902,x96904),x96903)))+P106(f326(f326(f328(x96901),f326(f76(x96901,x96902,x96903,x96904),x96905)),x96906))+~P106(f326(f326(f234(f922(x96901,a910)),x96903),x96906))
% 178.51/178.26 [10064]~P70(x100642)+~E(f593(x100641,x100643,x100645,x100646,x100644,x100642),f594(x100641,x100643,x100645,x100646,x100644,x100642))+~P106(f326(f61(x100644),x100646))+E(f326(f326(f8(x100641,x100642),x100643),f326(f309(x100644,x100641,x100645),x100646)),f326(f326(f8(x100644,x100642),f326(f72(x100641,x100642,x100644,x100643),x100645)),x100646))
% 178.51/178.26 [10094]~P70(x100946)+E(f326(x100941,f593(x100942,x100943,x100941,x100944,x100945,x100946)),f326(x100941,f594(x100942,x100943,x100941,x100944,x100945,x100946)))+E(f326(f326(f8(x100942,x100946),x100943),f326(f309(x100945,x100942,x100941),x100944)),f326(f326(f8(x100945,x100946),f326(f72(x100942,x100946,x100945,x100943),x100941)),x100944))+~P106(f326(f61(x100945),x100944))
% 178.51/178.26 [10133]~P70(x101332)+~E(f326(x101333,f326(x101335,f594(x101331,x101333,x101335,x101336,x101334,x101332))),f2(x101332))+~P106(f326(f61(x101334),x101336))+E(f326(f326(f8(x101331,x101332),x101333),f326(f309(x101334,x101331,x101335),x101336)),f326(f326(f8(x101334,x101332),f326(f72(x101331,x101332,x101334,x101333),x101335)),x101336))
% 178.51/178.26 [10191]~P70(x101912)+~P106(f326(f61(x101914),x101916))+E(f326(f326(f8(x101911,x101912),x101913),f326(f309(x101914,x101911,x101915),x101916)),f326(f326(f8(x101914,x101912),f326(f72(x101911,x101912,x101914,x101913),x101915)),x101916))+P106(f326(f326(f328(x101914),f594(x101911,x101913,x101915,x101916,x101914,x101912)),x101916))
% 178.51/178.26 [10192]~P70(x101922)+~P106(f326(f61(x101924),x101926))+E(f326(f326(f8(x101921,x101922),x101923),f326(f309(x101924,x101921,x101925),x101926)),f326(f326(f8(x101924,x101922),f326(f72(x101921,x101922,x101924,x101923),x101925)),x101926))+P106(f326(f326(f328(x101924),f593(x101921,x101923,x101925,x101926,x101924,x101922)),x101926))
% 178.51/178.26 [10322]~P75(x103221)+~P106(f326(f61(x103222),x103226))+E(f326(f326(f326(f65(x103221,x103222,f80(x103221)),f326(f326(f20(x103222,f922(x103223,a910),x103221),f326(f326(f9(x103222,x103221,f922(f922(x103223,a910),x103221)),f326(f326(f10(f922(x103223,x103221),f922(x103221,f922(f922(x103223,a910),x103221)),x103222),f65(x103221,x103223,f80(x103221))),x103224)),f77(x103221))),x103225)),f77(x103221)),x103226),f326(f326(f326(f65(x103221,f921(x103222,x103223),f80(x103221)),f326(f256(x103222,x103223,x103221),x103224)),f77(x103221)),f326(f326(f253(x103222,x103223),x103226),x103225)))+P106(f326(f326(f328(x103222),f550(x103224,x103225,x103223,x103226,x103222,x103221)),x103226))
% 178.51/178.26 [10344]~P75(x103441)+~P106(f326(f61(x103442),x103446))+E(f326(f326(f326(f65(x103441,x103442,f80(x103441)),f326(f326(f20(x103442,f922(x103443,a910),x103441),f326(f326(f9(x103442,x103441,f922(f922(x103443,a910),x103441)),f326(f326(f10(f922(x103443,x103441),f922(x103441,f922(f922(x103443,a910),x103441)),x103442),f65(x103441,x103443,f80(x103441))),x103444)),f77(x103441))),x103445)),f77(x103441)),x103446),f326(f326(f326(f65(x103441,f921(x103442,x103443),f80(x103441)),f326(f256(x103442,x103443,x103441),x103444)),f77(x103441)),f326(f326(f253(x103442,x103443),x103446),x103445)))+~P106(f326(f61(x103443),f326(x103445,f550(x103444,x103445,x103443,x103446,x103442,x103441))))
% 178.51/178.26 [8451]~P19(x84512,x84515,x84516,x84511)+~P106(f326(f61(x84512),x84514))+~P106(f326(f61(x84512),x84513))+E(f326(x84511,f326(f326(f110(f922(x84512,a910)),x84513),x84514)),f326(f72(x84515,x84515,x84515,f326(x84511,x84513)),f326(x84511,x84514)))
% 178.51/178.26 [8666]~P4(x86661)+P106(f326(f326(f234(x86661),f326(x86662,x86663)),x86664))+~P106(f326(f326(f328(x86665),x86663),x86666))+~P106(f326(f326(f234(x86661),f326(f326(f40(x86665,x86661),x86666),x86662)),x86664))
% 178.51/178.26 [9094]~P24(x90942,x90941,x90943,x90946)+E(f326(f326(f3(f922(x90941,a910)),f326(f309(x90942,x90941,x90943),x90944)),f326(f309(x90942,x90941,x90943),x90945)),f326(f309(x90942,x90941,x90943),f326(f326(f3(f922(x90942,a910)),x90944),x90945)))+~P106(f326(f326(f234(f922(x90942,a910)),x90945),x90946))+~P106(f326(f326(f234(f922(x90942,a910)),x90944),x90946))
% 178.51/178.26 [9095]~P24(x90952,x90951,x90953,x90956)+E(f326(f326(f101(f922(x90951,a910)),f326(f309(x90952,x90951,x90953),x90954)),f326(f309(x90952,x90951,x90953),x90955)),f326(f309(x90952,x90951,x90953),f326(f326(f101(f922(x90952,a910)),x90954),x90955)))+~P106(f326(f326(f234(f922(x90952,a910)),x90955),x90956))+~P106(f326(f326(f234(f922(x90952,a910)),x90954),x90956))
% 178.51/178.26 [9352]E(x93521,x93522)+~P54(x93523,x93524,x93525)+~P106(f326(f326(f328(f921(x93523,x93524)),f326(f326(f251(x93523,x93524),x93526),x93522)),x93525))+~P106(f326(f326(f328(f921(x93523,x93524)),f326(f326(f251(x93523,x93524),x93526),x93521)),x93525))
% 178.51/178.26 [10129]~P68(x101291)+~E(f326(x101293,f873(x101294,x101296,x101293,x101295,x101292,x101291)),f326(x101296,f873(x101294,x101296,x101293,x101295,x101292,x101291)))+~P106(f326(f61(x101292),x101295))+E(f326(f326(f326(f65(x101291,x101292,f80(x101291)),x101293),x101294),x101295),f326(f326(f326(f65(x101291,x101292,f80(x101291)),x101296),x101294),x101295))
% 178.51/178.26 [10189]~P68(x101891)+~P106(f326(f61(x101892),x101895))+E(f326(f326(f326(f65(x101891,x101892,f80(x101891)),x101893),x101894),x101895),f326(f326(f326(f65(x101891,x101892,f80(x101891)),x101896),x101894),x101895))+P106(f326(f326(f328(x101892),f873(x101894,x101893,x101896,x101895,x101892,x101891)),x101895))
% 178.51/178.26 [8892]~P68(x88921)+~P106(f326(f61(x88922),x88926))+P106(f326(f326(f328(x88922),x88925),x88926))+E(f326(f326(f326(f65(x88921,x88922,f80(x88921)),x88923),x88924),f326(f326(f308(x88922),x88925),x88926)),f326(f326(f80(x88921),f326(x88923,x88925)),f326(f326(f326(f65(x88921,x88922,f80(x88921)),x88923),x88924),x88926)))
% 178.51/178.26 [8945]~P7(x89451,x89456,x89453)+~P10(x89451,f922(x89452,a910),x89453,x89455)+~P106(f326(f326(f328(x89451),x89454),x89456))+E(f326(f326(f40(x89451,f922(x89452,a910)),f326(f284(x89451,x89451,x89453),f326(f326(f308(x89451),x89454),f188(f922(x89451,a910))))),x89455),f326(x89455,x89454))
% 178.51/178.26 [9071]~P15(x90713,x90714,x90711)+~P106(f326(f61(x90713),x90716))+~P106(f326(f326(f328(x90713),x90712),x90716))+E(f326(f326(x90711,x90712),f326(f326(f64(x90713,x90714,x90711),x90715),f326(f326(f3(f922(x90713,a910)),x90716),f326(f326(f308(x90713),x90712),f188(f922(x90713,a910)))))),f326(f326(f64(x90713,x90714,x90711),x90715),x90716))
% 178.51/178.26 [9362]~P18(x93623,x93621,x93626,x93622)+~P106(f326(f61(x93623),x93625))+~P106(f326(f61(x93623),x93624))+E(f326(f72(x93621,x93621,x93621,f326(x93622,f326(f326(f110(f922(x93623,a910)),x93624),x93625))),f326(x93622,f326(f326(f101(f922(x93623,a910)),x93624),x93625))),f326(f72(x93621,x93621,x93621,f326(x93622,x93624)),f326(x93622,x93625)))
% 178.51/178.26 [9713]~E(x97133,f326(f326(f159(x97131,x97132),x97135),x97136))+P106(f326(f326(f328(f921(f915(x97131),f915(x97131))),f326(f326(f251(f915(x97131),f915(x97131)),x97132),x97133)),f157(x97131,x97134)))+~P106(f326(f326(f235(a914),x97135),f326(f189(f915(x97131)),x97132)))+~P106(f326(f326(f328(f921(x97131,x97131)),f326(f326(f251(x97131,x97131),f326(f326(f164(x97131),x97132),x97135)),x97136)),x97134))
% 178.51/178.26 [10201]~P70(x102012)+~P106(f326(f61(x102011),x102016))+P106(f326(f326(f328(x102011),f547(x102014,x102015,x102013,x102016,x102011,x102012)),x102016))+E(f326(f326(f8(x102011,x102012),f326(f326(f20(x102011,f922(x102013,a910),x102012),f326(f326(f10(f922(x102013,x102012),f922(f922(x102013,a910),x102012),x102011),f8(x102013,x102012)),x102014)),x102015)),x102016),f326(f326(f8(f921(x102011,x102013),x102012),f326(f256(x102011,x102013,x102012),x102014)),f326(f326(f253(x102011,x102013),x102016),x102015)))
% 178.51/178.26 [10202]~P75(x102022)+~P106(f326(f61(x102021),x102026))+P106(f326(f326(f328(x102021),f548(x102024,x102025,x102023,x102026,x102021,x102022)),x102026))+E(f326(f326(f11(x102021,x102022),f326(f326(f20(x102021,f922(x102023,a910),x102022),f326(f326(f10(f922(x102023,x102022),f922(f922(x102023,a910),x102022),x102021),f11(x102023,x102022)),x102024)),x102025)),x102026),f326(f326(f11(f921(x102021,x102023),x102022),f326(f256(x102021,x102023,x102022),x102024)),f326(f326(f253(x102021,x102023),x102026),x102025)))
% 178.51/178.26 [10242]~P70(x102422)+~P106(f326(f61(x102421),x102426))+~P106(f326(f61(x102423),f326(x102425,f547(x102424,x102425,x102423,x102426,x102421,x102422))))+E(f326(f326(f8(x102421,x102422),f326(f326(f20(x102421,f922(x102423,a910),x102422),f326(f326(f10(f922(x102423,x102422),f922(f922(x102423,a910),x102422),x102421),f8(x102423,x102422)),x102424)),x102425)),x102426),f326(f326(f8(f921(x102421,x102423),x102422),f326(f256(x102421,x102423,x102422),x102424)),f326(f326(f253(x102421,x102423),x102426),x102425)))
% 178.51/178.26 [10243]~P75(x102432)+~P106(f326(f61(x102431),x102436))+~P106(f326(f61(x102433),f326(x102435,f548(x102434,x102435,x102433,x102436,x102431,x102432))))+E(f326(f326(f11(x102431,x102432),f326(f326(f20(x102431,f922(x102433,a910),x102432),f326(f326(f10(f922(x102433,x102432),f922(f922(x102433,a910),x102432),x102431),f11(x102433,x102432)),x102434)),x102435)),x102436),f326(f326(f11(f921(x102431,x102433),x102432),f326(f256(x102431,x102433,x102432),x102434)),f326(f326(f253(x102431,x102433),x102436),x102435)))
% 178.51/178.26 [10223]~P75(x102232)+~P106(f326(f61(x102231),x102236))+P106(f326(f326(f328(x102231),x102233),x102236))+E(f326(f326(f11(x102231,x102232),f326(f326(f9(x102231,x102232,x102232),f326(f326(f20(x102231,x102232,f922(x102232,x102232)),f326(f326(f10(a910,f922(x102232,f922(x102232,x102232)),x102231),f96(x102232)),f326(f326(f9(x102231,x102231,a910),a323),x102233))),x102234)),x102235)),x102236),f326(f326(f243(x102232),x102235),f326(f35(x102231),x102236)))
% 178.51/178.26 [10228]~P75(x102282)+~P106(f326(f61(x102281),x102286))+~P106(f326(f326(f328(x102281),x102283),x102286))+E(f326(f326(f11(x102281,x102282),f326(f326(f9(x102281,x102282,x102282),f326(f326(f20(x102281,x102282,f922(x102282,x102282)),f326(f326(f10(a910,f922(x102282,f922(x102282,x102282)),x102281),f96(x102282)),f326(f326(f9(x102281,x102281,a910),a323),x102283))),x102284)),x102285)),x102286),f326(f326(f80(x102282),f326(x102284,x102283)),f326(f326(f243(x102282),x102285),f326(f326(f3(a914),f326(f35(x102281),x102286)),f77(a914)))))
% 178.51/178.26 [10309]~P106(f326(f61(x103091),x103095))+~P106(f326(f61(x103092),x103093))+P106(f326(f326(f328(x103092),f549(x103096,x103094,x103093,x103092,x103095,x103091)),x103093))+E(f326(f326(f8(x103091,a914),f326(f326(f10(f922(x103092,a910),a914,x103091),f35(x103092)),f326(f326(f10(f922(x103092,a910),f922(x103092,a910),x103091),f261(x103092)),f326(f326(f10(f922(x103092,a910),f922(x103092,a910),x103091),f326(f20(x103092,a910,a910),f326(f326(f10(a910,f922(a910,a910),x103092),a325),f326(f326(f9(x103092,f922(x103092,a910),a910),f328(x103092)),x103093)))),x103094)))),x103095),f326(f326(f80(a914),x103096),f326(f35(x103092),x103093)))
% 178.51/178.26 [10310]~P106(f326(f61(x103101),x103105))+~P106(f326(f61(x103102),x103103))+P106(f326(f326(f328(x103102),f554(x103106,x103104,x103103,x103102,x103105,x103101)),x103103))+E(f326(f326(f8(x103101,a914),f326(f326(f10(f922(x103102,a910),a914,x103101),f35(x103102)),f326(f326(f10(f922(x103102,a910),f922(x103102,a910),x103101),f261(x103102)),f326(f326(f10(f922(x103102,a910),f922(x103102,a910),x103101),f326(f20(x103102,a910,a910),f326(f326(f10(a910,f922(a910,a910),x103102),a325),f326(f326(f9(x103102,f922(x103102,a910),a910),f328(x103102)),x103103)))),x103104)))),x103105),f326(f326(f8(x103102,a914),x103106),x103103))
% 178.51/178.26 [10358]~P106(f326(f61(x103582),x103583))+~P106(f326(f61(x103581),x103585))+~E(f326(f35(x103581),f326(f261(x103581),f326(f326(f20(x103581,a910,a910),f326(f326(f10(a910,f922(a910,a910),x103581),a325),f326(f326(f9(x103581,f922(x103581,a910),a910),f328(x103581)),x103585))),f326(f326(f9(x103581,x103582,a910),x103584),f549(x103586,x103584,x103583,x103582,x103585,x103581))))),x103586)+E(f326(f326(f8(x103581,a914),f326(f326(f10(f922(x103582,a910),a914,x103581),f35(x103582)),f326(f326(f10(f922(x103582,a910),f922(x103582,a910),x103581),f261(x103582)),f326(f326(f10(f922(x103582,a910),f922(x103582,a910),x103581),f326(f20(x103582,a910,a910),f326(f326(f10(a910,f922(a910,a910),x103582),a325),f326(f326(f9(x103582,f922(x103582,a910),a910),f328(x103582)),x103583)))),x103584)))),x103585),f326(f326(f80(a914),x103586),f326(f35(x103582),x103583)))
% 178.51/178.26 [10360]~P106(f326(f61(x103602),x103603))+~P106(f326(f61(x103601),x103605))+~E(f326(f35(x103601),f326(f261(x103601),f326(f326(f20(x103601,a910,a910),f326(f326(f10(a910,f922(a910,a910),x103601),a325),f326(f326(f9(x103601,f922(x103601,a910),a910),f328(x103601)),x103605))),f326(f326(f9(x103601,x103602,a910),x103604),f554(x103606,x103604,x103603,x103602,x103605,x103601))))),f326(x103606,f554(x103606,x103604,x103603,x103602,x103605,x103601)))+E(f326(f326(f8(x103601,a914),f326(f326(f10(f922(x103602,a910),a914,x103601),f35(x103602)),f326(f326(f10(f922(x103602,a910),f922(x103602,a910),x103601),f261(x103602)),f326(f326(f10(f922(x103602,a910),f922(x103602,a910),x103601),f326(f20(x103602,a910,a910),f326(f326(f10(a910,f922(a910,a910),x103602),a325),f326(f326(f9(x103602,f922(x103602,a910),a910),f328(x103602)),x103603)))),x103604)))),x103605),f326(f326(f8(x103602,a914),x103606),x103603))
% 178.51/178.26 [9989]E(x99891,x99892)+~P15(x99893,x99894,x99895)+~P106(f326(f66(x99893,x99894,x99895,x99896,x99897),x99892))+~P106(f326(f66(x99893,x99894,x99895,x99896,x99897),x99891))
% 178.51/178.26 [9789]P106(f326(x97891,x97892))+~P106(f326(f326(f328(x97897),x97892),f326(x97896,x97894)))+~P106(f326(x97891,f463(x97891,x97896,x97895,x97893,x97897)))+~P106(f326(f326(f328(x97893),x97894),x97895))
% 178.51/178.26 [10215]~P15(x102157,x102156,x102151)+E(f326(f326(x102151,x102152),f644(x102152,x102153,x102154,x102155,x102151,x102156,x102157)),x102153)+~P106(f326(f66(x102157,x102156,x102151,x102155,x102154),x102153))+~P106(f326(f326(f328(x102157),x102152),x102154))
% 178.51/178.26 [10287]~P15(x102871,x102872,x102873)+~P106(f326(f66(x102871,x102872,x102873,x102874,x102875),x102877))+P106(f326(f66(x102871,x102872,x102873,x102874,f326(f326(f3(f922(x102871,a910)),x102875),f326(f326(f308(x102871),x102876),f188(f922(x102871,a910))))),f644(x102876,x102877,x102875,x102874,x102873,x102872,x102871)))+~P106(f326(f326(f328(x102871),x102876),x102875))
% 178.51/178.26 [9432]P25(x94321,x94322,x94323,x94324,x94325)+~P25(x94321,x94322,x94323,x94326,x94327)+~E(f326(f309(x94321,x94322,x94323),x94324),x94325)+~P106(f326(f326(f234(f922(x94321,a910)),x94324),x94326))
% 178.51/178.26 [9681]~P25(x96811,x96812,x96813,x96815,x96817)+~P25(x96811,x96812,x96813,x96814,x96816)+P25(x96811,x96812,x96813,f326(f326(f110(f922(x96811,a910)),x96814),x96815),f326(f326(f110(f922(x96812,a910)),x96816),x96817))+~E(f326(f326(f101(f922(x96812,a910)),x96816),x96817),f188(f922(x96812,a910)))
% 178.51/178.26 [9686]~P68(x96861)+~P24(x96865,x96862,x96866,x96867)+~P106(f326(f61(x96865),x96867))+E(f326(f326(f326(f65(x96861,x96862,f80(x96861)),x96863),x96864),f326(f309(x96865,x96862,x96866),x96867)),f326(f326(f326(f65(x96861,x96865,f80(x96861)),f326(f72(x96862,x96861,x96865,x96863),x96866)),x96864),x96867))
% 178.51/178.26 [9812]~E(f326(f326(f308(x98121),x98125),x98126),f326(f326(f308(x98121),x98122),x98123))+~P106(f326(f66(x98121,x98121,x98124,x98122,x98123),x98127))+P106(f326(f326(f328(x98121),x98122),x98123))+P106(f326(f62(x98121,x98124,f326(f326(f308(x98121),x98125),x98126)),x98127))
% 178.51/178.26 [9896]P106(f326(x98961,x98962))+~P106(f326(f326(f328(x98963),x98962),f326(x98964,x98967)))+~P106(f326(f326(f328(x98966),x98967),x98965))+P106(f326(f326(f328(x98963),f463(x98961,x98964,x98965,x98966,x98963)),f326(f326(f40(x98966,f922(x98963,a910)),x98965),x98964)))
% 178.51/178.26 [9913]~P24(x99132,x99131,x99135,x99134)+~P24(x99131,x99133,x99136,f326(f309(x99132,x99131,x99135),x99134))+E(f326(f326(f72(x99131,x99132,x99133,f76(x99132,x99131,x99134,x99135)),f76(x99131,x99133,f326(f309(x99132,x99131,x99135),x99134),x99136)),x99137),f326(f76(x99132,x99133,x99134,f326(f72(x99131,x99133,x99132,x99136),x99135)),x99137))+~P106(f326(f326(f328(x99133),x99137),f326(f309(x99131,x99133,x99136),f326(f309(x99132,x99131,x99135),x99134))))
% 178.51/178.26 [9914]~P24(x99142,x99141,x99145,x99144)+~P24(x99141,x99143,x99146,f326(f309(x99142,x99141,x99145),x99144))+E(f326(f326(f72(x99141,x99142,x99143,f91(x99142,x99141,x99144,x99145)),f91(x99141,x99143,f326(f309(x99142,x99141,x99145),x99144),x99146)),x99147),f326(f91(x99142,x99143,x99144,f326(f72(x99141,x99143,x99142,x99146),x99145)),x99147))+~P106(f326(f326(f328(x99143),x99147),f326(f309(x99141,x99143,x99146),f326(f309(x99142,x99141,x99145),x99144))))
% 178.51/178.26 [10216]~P15(x102167,x102166,x102161)+E(f326(f326(x102161,x102162),f701(x102163,x102164,x102162,x102165,x102161,x102166,x102167)),x102163)+P106(f326(f326(f328(x102167),x102162),x102164))+~P106(f326(f66(x102167,x102166,x102161,x102165,f326(f326(f308(x102167),x102162),x102164)),x102163))
% 178.51/178.26 [10286]~P15(x102861,x102864,x102865)+P106(f326(f66(x102861,x102864,x102865,x102866,x102863),f701(x102867,x102863,x102862,x102866,x102865,x102864,x102861)))+P106(f326(f326(f328(x102861),x102862),x102863))+~P106(f326(f66(x102861,x102864,x102865,x102866,f326(f326(f308(x102861),x102862),x102863)),x102867))
% 178.51/178.26 [9971]E(x99711,f2(a1))+~P106(f326(f49(x99713,x99711),f326(f326(f251(a1,a1),x99715),x99717)))+~P106(f326(f49(x99712,x99711),f326(f326(f251(a1,a1),x99714),x99716)))+P106(f326(f49(f326(f326(f79(a1),x99712),x99713),x99711),f326(f326(f251(a1,a1),f326(f326(f79(a1),f326(f326(f79(a1),x99714),x99715)),f326(f326(f36(a1),f326(f326(f79(a1),x99716),x99717)),x99711))),f45(a1,f326(f326(f79(a1),x99716),x99717),x99711))))
% 178.51/178.26 [9973]~P106(f326(f326(f235(a914),f2(a914)),x99733))+~P106(f326(f48(x99732,x99733),f326(f326(f251(a914,a914),x99735),x99737)))+~P106(f326(f48(x99731,x99733),f326(f326(f251(a914,a914),x99734),x99736)))+P106(f326(f48(f326(f326(f79(a914),x99731),x99732),x99733),f326(f326(f251(a914,a914),f326(f326(f79(a914),f326(f326(f79(a914),x99734),x99735)),f326(f326(f36(a914),f326(f326(f79(a914),x99736),x99737)),x99733))),f45(a914,f326(f326(f79(a914),x99736),x99737),x99733))))
% 178.51/178.26 [10357]~P70(x103572)+~P106(f326(f61(x103573),x103575))+~P106(f326(f61(x103571),x103577))+E(f326(f326(f8(x103571,x103572),f326(f326(f20(x103571,f922(x103573,a910),x103572),f326(f326(f10(f922(x103573,x103572),f922(f922(x103573,a910),x103572),x103571),f8(x103573,x103572)),x103574)),f326(f326(f10(f922(x103573,a910),f922(x103573,a910),x103571),f261(x103573)),f326(f326(f10(f922(x103573,a910),f922(x103573,a910),x103571),f326(f20(x103573,a910,a910),f326(f326(f10(a910,f922(a910,a910),x103573),a325),f326(f326(f9(x103573,f922(x103573,a910),a910),f328(x103573)),x103575)))),x103576)))),x103577),f326(f326(f8(x103573,x103572),f326(f326(f20(x103573,f922(x103571,a910),x103572),f326(f326(f10(f922(x103571,x103572),f922(f922(x103571,a910),x103572),x103573),f8(x103571,x103572)),f326(f9(x103571,x103573,x103572),x103574))),f326(f326(f10(f922(x103571,a910),f922(x103571,a910),x103573),f261(x103571)),f326(f326(f10(f922(x103571,a910),f922(x103571,a910),x103573),f326(f20(x103571,a910,a910),f326(f326(f10(a910,f922(a910,a910),x103571),a325),f326(f326(f9(x103571,f922(x103571,a910),a910),f328(x103571)),x103577)))),f326(f9(x103571,x103573,a910),x103576))))),x103575))
% 178.51/178.26 [10307]~P20(x103078,x103077,x103076,x103075,x103071)+~E(f326(x103072,f858(x103074,x103072,x103073,x103071,x103075,x103076,x103077)),f326(x103074,f858(x103074,x103072,x103073,x103071,x103075,x103076,x103077)))+E(f326(f326(x103071,x103072),x103073),f326(f326(x103071,x103074),x103073))+~P106(f326(f61(x103077),x103073))
% 178.51/178.26 [9848]~P21(x98487,x98486,x98481,x98488,x98482,x98484)+E(f326(f326(x98481,f326(x98482,x98483)),f326(x98484,x98485)),f326(x98484,x98485))+~P106(f326(f61(x98486),x98485))+~P106(f326(f326(f328(x98486),x98483),x98485))
% 178.51/178.26 [9852]~P11(x98526,x98521,x98522,x98528,x98523,x98524)+~P7(x98526,x98527,x98528)+P10(x98521,x98522,x98523,f326(x98524,x98525))+~P106(f326(f326(f328(x98526),x98525),x98527))
% 178.51/178.26 [10329]~P20(x103298,x103295,x103297,x103296,x103291)+E(f326(f326(x103291,x103292),x103293),f326(f326(x103291,x103294),x103293))+~P106(f326(f61(x103295),x103293))+P106(f326(f326(f328(x103295),f858(x103292,x103294,x103293,x103291,x103296,x103297,x103295)),x103293))
% 178.51/178.26 [10411]~P106(f326(f326(x104111,x104116),x104115))+P106(f326(f326(x104111,f845(x104111,x104114,x104115,x104116,x104113,x104112,x104117,x104118)),f849(x104111,x104114,x104115,x104116,x104113,x104112,x104117,x104118)))+P106(f326(f326(x104111,x104112),x104113))+~P106(f326(f326(f328(f921(f921(x104118,x104117),f921(x104118,x104117))),f326(f326(f251(f921(x104118,x104117),f921(x104118,x104117)),f326(f326(f251(x104118,x104117),x104112),x104113)),f326(f326(f251(x104118,x104117),x104116),x104115))),f306(f921(x104118,x104117),x104114)))
% 178.51/178.26 [10412]~P106(f326(f326(x104121,x104126),x104125))+P106(f326(f326(x104121,f840(x104121,x104124,x104123,x104122,x104125,x104126,x104127,x104128)),f841(x104121,x104124,x104123,x104122,x104125,x104126,x104127,x104128)))+P106(f326(f326(x104121,x104122),x104123))+~P106(f326(f326(f328(f921(f921(x104128,x104127),f921(x104128,x104127))),f326(f326(f251(f921(x104128,x104127),f921(x104128,x104127)),f326(f326(f251(x104128,x104127),x104126),x104125)),f326(f326(f251(x104128,x104127),x104122),x104123))),f306(f921(x104128,x104127),x104124)))
% 178.51/178.26 [10422]~P106(f326(f326(x104221,f846(x104221,x104226,x104225,x104224,x104223,x104222,x104227,x104228)),f848(x104221,x104226,x104225,x104224,x104223,x104222,x104227,x104228)))+P106(f326(f326(x104221,x104222),x104223))+~P106(f326(f326(x104221,x104224),x104225))+~P106(f326(f326(f328(f921(f921(x104228,x104227),f921(x104228,x104227))),f326(f326(f251(f921(x104228,x104227),f921(x104228,x104227)),f326(f326(f251(x104228,x104227),x104222),x104223)),f326(f326(f251(x104228,x104227),x104224),x104225))),f306(f921(x104228,x104227),x104226)))
% 178.51/178.26 [10423]~P106(f326(f326(x104231,f842(x104231,x104236,x104233,x104232,x104235,x104234,x104237,x104238)),f843(x104231,x104236,x104233,x104232,x104235,x104234,x104237,x104238)))+P106(f326(f326(x104231,x104232),x104233))+~P106(f326(f326(x104231,x104234),x104235))+~P106(f326(f326(f328(f921(f921(x104238,x104237),f921(x104238,x104237))),f326(f326(f251(f921(x104238,x104237),f921(x104238,x104237)),f326(f326(f251(x104238,x104237),x104234),x104235)),f326(f326(f251(x104238,x104237),x104232),x104233))),f306(f921(x104238,x104237),x104236)))
% 178.51/178.26 [10436]~P106(f326(f326(x104361,x104366),x104367))+P106(f326(f326(x104361,x104362),x104363))+P106(f326(f326(f328(f921(f921(x104364,x104365),f921(x104364,x104365))),f326(f326(f251(f921(x104364,x104365),f921(x104364,x104365)),f326(f326(f251(x104364,x104365),x104366),x104367)),f326(f326(f251(x104364,x104365),f840(x104361,x104368,x104363,x104362,x104367,x104366,x104365,x104364)),f841(x104361,x104368,x104363,x104362,x104367,x104366,x104365,x104364)))),f306(f921(x104364,x104365),x104368)))+~P106(f326(f326(f328(f921(f921(x104364,x104365),f921(x104364,x104365))),f326(f326(f251(f921(x104364,x104365),f921(x104364,x104365)),f326(f326(f251(x104364,x104365),x104366),x104367)),f326(f326(f251(x104364,x104365),x104362),x104363))),f306(f921(x104364,x104365),x104368)))
% 178.51/178.26 [10438]~P106(f326(f326(x104381,x104388),x104387))+P106(f326(f326(x104381,x104382),x104383))+P106(f326(f326(f328(f921(f921(x104384,x104385),f921(x104384,x104385))),f326(f326(f251(f921(x104384,x104385),f921(x104384,x104385)),f326(f326(f251(x104384,x104385),f845(x104381,x104386,x104387,x104388,x104383,x104382,x104385,x104384)),f849(x104381,x104386,x104387,x104388,x104383,x104382,x104385,x104384))),f326(f326(f251(x104384,x104385),x104388),x104387))),f306(f921(x104384,x104385),x104386)))+~P106(f326(f326(f328(f921(f921(x104384,x104385),f921(x104384,x104385))),f326(f326(f251(f921(x104384,x104385),f921(x104384,x104385)),f326(f326(f251(x104384,x104385),x104382),x104383)),f326(f326(f251(x104384,x104385),x104388),x104387))),f306(f921(x104384,x104385),x104386)))
% 178.51/178.26 [9459]~P18(x94597,x94591,x94598,x94593)+~P106(f326(f61(x94597),x94595))+~P106(f326(f61(x94597),x94594))+E(f326(f72(x94591,x94591,x94592,f326(x94593,x94594)),f326(f72(x94591,x94591,x94592,f326(x94593,x94595)),x94596)),f326(f72(x94591,x94591,x94592,f326(x94593,x94595)),f326(f72(x94591,x94591,x94592,f326(x94593,x94594)),x94596)))
% 178.51/178.26 [9468]~P34(x94681,x94682,x94683,x94684,x94687)+P34(x94681,x94682,x94683,f326(f326(f159(x94681,x94684),x94685),x94686),f326(f326(f159(x94682,x94687),x94685),x94688))+~P106(f326(f326(x94683,x94686),x94688))+~P106(f326(f326(f235(a914),x94685),f326(f189(f915(x94681)),x94684)))
% 178.51/178.26 [9469]~P34(x94691,x94692,x94693,x94694,x94697)+P34(x94691,x94692,x94693,f326(f326(f159(x94691,x94694),x94695),x94696),f326(f326(f159(x94692,x94697),x94695),x94698))+~P106(f326(f326(x94693,x94696),x94698))+~P106(f326(f326(f235(a914),x94695),f326(f189(f915(x94692)),x94697)))
% 178.51/178.26 [9548]~P24(x95482,x95482,x95485,x95486)+~P20(x95483,x95482,x95487,x95488,x95481)+~P106(f326(f61(x95482),x95486))+E(f326(f326(x95481,f326(f72(x95482,x95483,x95482,x95484),x95485)),x95486),f326(f326(x95481,x95484),f326(f309(x95482,x95482,x95485),x95486)))
% 178.51/178.26 [9813]P25(x98131,x98132,x98133,x98134,x98135)+~P25(x98132,x98136,x98137,x98135,x98138)+~P25(x98131,x98136,f326(f72(x98132,x98136,x98131,x98137),x98133),x98134,x98138)+~P106(f326(f326(f234(f922(x98132,a910)),f326(f309(x98131,x98132,x98133),x98134)),x98135))
% 178.51/178.26 [9850]~P22(x98507,x98502,x98505,x98508,x98506,x98501)+~P106(f326(f61(x98502),x98504))+E(f326(x98501,f326(f326(f308(x98502),x98503),x98504)),f326(f326(x98505,f326(x98506,x98503)),f326(x98501,x98504)))+P106(f326(f326(f328(x98502),x98503),x98504))
% 178.51/178.26 [9861]~P21(x98616,x98615,x98611,x98617,x98618,x98612)+E(f326(f326(x98611,f326(x98612,x98613)),f326(x98612,x98614)),f326(x98612,x98614))+~P106(f326(f61(x98615),x98614))+~P106(f326(f326(f234(f922(x98615,a910)),x98613),x98614))
% 178.51/178.26 [10354]P23(x103548,x103547,f326(f326(f308(f913(x103548)),f326(f326(f326(f90(x103548),x103544),x103545),x103543)),f188(f922(f913(x103548),a910))))+~P23(x103548,x103547,f326(f326(f308(f913(x103548)),f326(f326(f326(f90(x103548),x103546),x103545),x103541)),f188(f922(f913(x103548),a910))))+~P106(f326(f326(x103546,x103542),f889(x103543,x103544,x103541,x103545,x103546,x103547,x103548)))+P106(f326(f326(x103541,x103542),f898(x103543,x103544,x103541,x103545,x103546,x103547,x103548)))
% 178.51/178.26 [9446]P106(f326(f326(f328(f921(f915(x94461),f915(x94461))),f326(f326(f251(f915(x94461),f915(x94461)),x94462),x94463)),f157(x94461,x94464)))+~E(x94463,f326(f326(f134(x94461),x94465),f326(f326(f151(x94461),x94466),x94467)))+~E(x94462,f326(f326(f134(x94461),x94465),f326(f326(f151(x94461),x94468),x94467)))+~P106(f326(f326(f328(f921(x94461,x94461)),f326(f326(f251(x94461,x94461),x94468),x94466)),x94464))
% 178.51/178.26 [9855]~P21(x98556,x98552,x98555,x98557,x98558,x98551)+~P106(f326(f61(x98552),x98554))+~P106(f326(f61(x98552),x98553))+E(f326(x98551,f326(f326(f110(f922(x98552,a910)),x98553),x98554)),f326(f326(x98555,f326(x98551,x98553)),f326(x98551,x98554)))
% 178.51/178.26 [10401]~P24(x104014,x104012,x104015,x104018)+E(f326(f326(f39(x104011,f922(x104012,a910)),x104013),f326(f326(f10(f922(x104014,a910),f922(x104012,a910),x104011),f309(x104014,x104012,x104015)),x104016)),f326(f309(x104014,x104012,x104015),f326(f326(f39(x104011,f922(x104014,a910)),x104013),x104016)))+~P106(f326(f326(f328(x104011),x104017),x104013))+P106(f326(f326(f328(x104011),f530(x104017,x104016,x104013,x104011,x104018,x104015,x104012,x104014)),x104013))
% 178.51/178.26 [10427]~P24(x104274,x104272,x104275,x104277)+E(f326(f326(f39(x104271,f922(x104272,a910)),x104273),f326(f326(f10(f922(x104274,a910),f922(x104272,a910),x104271),f309(x104274,x104272,x104275)),x104276)),f326(f309(x104274,x104272,x104275),f326(f326(f39(x104271,f922(x104274,a910)),x104273),x104276)))+~P106(f326(f326(f328(x104271),x104278),x104273))+~P106(f326(f326(f234(f922(x104274,a910)),f326(x104276,f530(x104278,x104276,x104273,x104271,x104277,x104275,x104272,x104274))),x104277))
% 178.51/178.26 [10439]~P106(f326(f326(x104391,x104398),x104397))+P106(f326(f326(x104391,x104392),x104393))+~P106(f326(f326(f328(f921(f921(x104394,x104395),f921(x104394,x104395))),f326(f326(f251(f921(x104394,x104395),f921(x104394,x104395)),f326(f326(f251(x104394,x104395),x104392),x104393)),f326(f326(f251(x104394,x104395),x104398),x104397))),f306(f921(x104394,x104395),x104396)))+P106(f326(f326(f328(f921(f921(x104394,x104395),f921(x104394,x104395))),f326(f326(f251(f921(x104394,x104395),f921(x104394,x104395)),f326(f326(f251(x104394,x104395),f846(x104391,x104396,x104397,x104398,x104393,x104392,x104395,x104394)),f848(x104391,x104396,x104397,x104398,x104393,x104392,x104395,x104394))),f326(f326(f251(x104394,x104395),f845(x104391,x104396,x104397,x104398,x104393,x104392,x104395,x104394)),f849(x104391,x104396,x104397,x104398,x104393,x104392,x104395,x104394)))),x104396))
% 178.51/178.26 [10440]~P106(f326(f326(x104401,x104408),x104407))+P106(f326(f326(x104401,x104402),x104403))+~P106(f326(f326(f328(f921(f921(x104404,x104405),f921(x104404,x104405))),f326(f326(f251(f921(x104404,x104405),f921(x104404,x104405)),f326(f326(f251(x104404,x104405),x104408),x104407)),f326(f326(f251(x104404,x104405),x104402),x104403))),f306(f921(x104404,x104405),x104406)))+P106(f326(f326(f328(f921(f921(x104404,x104405),f921(x104404,x104405))),f326(f326(f251(f921(x104404,x104405),f921(x104404,x104405)),f326(f326(f251(x104404,x104405),f840(x104401,x104406,x104403,x104402,x104407,x104408,x104405,x104404)),f841(x104401,x104406,x104403,x104402,x104407,x104408,x104405,x104404))),f326(f326(f251(x104404,x104405),f842(x104401,x104406,x104403,x104402,x104407,x104408,x104405,x104404)),f843(x104401,x104406,x104403,x104402,x104407,x104408,x104405,x104404)))),x104406))
% 178.51/178.26 [9923]~P22(x99237,x99235,x99231,x99238,x99232,x99234)+~P106(f326(f61(x99235),x99236))+~P106(f326(f326(f328(x99235),x99233),x99236))+E(f326(f326(x99231,f326(x99232,x99233)),f326(x99234,f326(f326(f3(f922(x99235,a910)),x99236),f326(f326(f308(x99235),x99233),f188(f922(x99235,a910)))))),f326(x99234,x99236))
% 178.51/178.26 [9931]~P22(x99316,x99313,x99311,x99317,x99318,x99312)+~P106(f326(f61(x99313),x99315))+~P106(f326(f61(x99313),x99314))+E(f326(f326(x99311,f326(x99312,f326(f326(f110(f922(x99313,a910)),x99314),x99315))),f326(x99312,f326(f326(f101(f922(x99313,a910)),x99314),x99315))),f326(f326(x99311,f326(x99312,x99314)),f326(x99312,x99315)))
% 178.51/178.26 [10014]P42(x100141,x100142,x100143,x100144,x100145,f326(f326(x100143,x100146),x100147))+~P42(x100141,x100142,x100143,x100144,f326(f326(f3(f922(x100141,a910)),x100145),f326(f326(f308(x100141),x100148),f188(f922(x100141,a910)))),x100149)+~E(f326(f326(x100143,x100146),x100147),f326(f326(x100143,x100148),x100149))+~P106(f326(f326(f328(x100141),x100148),x100145))
% 178.51/178.26 [10443]P23(x104431,x104432,f326(f326(f308(f913(x104431)),f326(f326(f326(f90(x104431),f326(x104433,f487(x104434,x104435,x104436,x104437,x104433,x104432,x104431,x104438,x104439))),f326(x104437,f487(x104434,x104435,x104436,x104437,x104433,x104432,x104431,x104438,x104439))),f326(x104436,f487(x104434,x104435,x104436,x104437,x104433,x104432,x104431,x104438,x104439)))),f188(f922(f913(x104431),a910))))+~P106(f326(f61(x104439),x104438))+~P23(x104431,x104432,f326(f309(x104439,f913(x104431),f326(f326(f20(x104439,f922(x104431,f922(a912,a910)),f913(x104431)),f326(f326(f20(x104439,a911,f922(f922(x104431,f922(a912,a910)),f913(x104431))),f326(f326(f10(f922(x104431,f922(a912,a910)),f922(a911,f922(f922(x104431,f922(a912,a910)),f913(x104431))),x104439),f90(x104431)),x104433)),x104437)),x104436)),x104438))+P23(x104431,x104432,f326(f309(x104439,f913(x104431),f326(f326(f20(x104439,f922(x104431,f922(a912,a910)),f913(x104431)),f326(f326(f20(x104439,a911,f922(f922(x104431,f922(a912,a910)),f913(x104431))),f326(f326(f10(f922(x104431,f922(a912,a910)),f922(a911,f922(f922(x104431,f922(a912,a910)),f913(x104431))),x104439),f90(x104431)),x104435)),x104437)),x104434)),x104438))
% 178.51/178.26 [10444]~P23(x104441,x104442,f326(f326(f308(f913(x104441)),f326(f326(f326(f90(x104441),f326(x104444,f487(x104446,x104444,x104448,x104445,x104449,x104442,x104441,x104447,x104443))),f326(x104445,f487(x104446,x104444,x104448,x104445,x104449,x104442,x104441,x104447,x104443))),f326(x104446,f487(x104446,x104444,x104448,x104445,x104449,x104442,x104441,x104447,x104443)))),f188(f922(f913(x104441),a910))))+~P106(f326(f61(x104443),x104447))+~P23(x104441,x104442,f326(f309(x104443,f913(x104441),f326(f326(f20(x104443,f922(x104441,f922(a912,a910)),f913(x104441)),f326(f326(f20(x104443,a911,f922(f922(x104441,f922(a912,a910)),f913(x104441))),f326(f326(f10(f922(x104441,f922(a912,a910)),f922(a911,f922(f922(x104441,f922(a912,a910)),f913(x104441))),x104443),f90(x104441)),x104449)),x104445)),x104448)),x104447))+P23(x104441,x104442,f326(f309(x104443,f913(x104441),f326(f326(f20(x104443,f922(x104441,f922(a912,a910)),f913(x104441)),f326(f326(f20(x104443,a911,f922(f922(x104441,f922(a912,a910)),f913(x104441))),f326(f326(f10(f922(x104441,f922(a912,a910)),f922(a911,f922(f922(x104441,f922(a912,a910)),f913(x104441))),x104443),f90(x104441)),x104444)),x104445)),x104446)),x104447))
% 178.51/178.26 [9955]~P11(x99556,x99557,x99558,x99559,x995510,x99551)+E(f326(f326(x99551,x99552),x99553),f326(f326(x99551,x99554),x99555))+~P106(f326(f326(f328(f921(x99557,x99557)),f326(f326(f251(x99557,x99557),x99553),x99555)),x995510))+~P106(f326(f326(f328(f921(x99556,x99556)),f326(f326(f251(x99556,x99556),x99552),x99554)),x99559))
% 178.51/178.26 [9550]~P78(x95502)+E(x95501,f188(f922(x95502,a910)))+~P106(f326(f61(x95502),x95501))+P106(f326(f326(f328(x95502),f12(x95502,x95501)),x95501))+~P106(f326(f326(f328(x95502),f326(f326(f110(x95502),f546(x95501,x95502)),f552(x95501,x95502))),f326(f326(f308(x95502),f546(x95501,x95502)),f326(f326(f308(x95502),f552(x95501,x95502)),f188(f922(x95502,a910))))))
% 178.51/178.26 [9551]~P78(x95512)+E(x95511,f188(f922(x95512,a910)))+~P106(f326(f61(x95512),x95511))+P106(f326(f326(f328(x95512),f13(x95512,x95511)),x95511))+~P106(f326(f326(f328(x95512),f326(f326(f101(x95512),f646(x95511,x95512)),f663(x95511,x95512))),f326(f326(f308(x95512),f646(x95511,x95512)),f326(f326(f308(x95512),f663(x95511,x95512)),f188(f922(x95512,a910))))))
% 178.51/178.26 [9582]~P68(x95822)+E(x95821,f188(f922(x95822,a910)))+~P106(f326(f61(x95822),x95821))+P106(f326(f326(f328(x95822),f326(f63(x95822,f80(x95822)),x95821)),x95821))+~P106(f326(f326(f328(x95822),f326(f326(f80(x95822),f721(x95821,x95822)),f732(x95821,x95822))),f326(f326(f308(x95822),f721(x95821,x95822)),f326(f326(f308(x95822),f732(x95821,x95822)),f188(f922(x95822,a910))))))
% 178.51/178.26 [9587]~P109(x95872)+E(x95871,f188(f922(x95872,a910)))+~P106(f326(f61(x95872),x95871))+P106(f326(f326(f328(x95872),f14(x95872,f232(x95872),x95871)),x95871))+~P106(f326(f326(f328(x95872),f326(f326(f232(x95872),f347(x95871,x95872)),f348(x95871,x95872))),f326(f326(f308(x95872),f347(x95871,x95872)),f326(f326(f308(x95872),f348(x95871,x95872)),f188(f922(x95872,a910))))))
% 178.51/178.26 [9588]~P109(x95882)+E(x95881,f188(f922(x95882,a910)))+~P106(f326(f61(x95882),x95881))+P106(f326(f326(f328(x95882),f15(x95882,f233(x95882),x95881)),x95881))+~P106(f326(f326(f328(x95882),f326(f326(f233(x95882),f416(x95881,x95882)),f417(x95881,x95882))),f326(f326(f308(x95882),f416(x95881,x95882)),f326(f326(f308(x95882),f417(x95881,x95882)),f188(f922(x95882,a910))))))
% 178.51/178.26 [6728]~P89(x67282)+E(x67281,f2(x67282))+~E(f326(f326(f79(x67282),x67283),x67281),f2(x67282))+~P106(f326(f326(f234(x67282),f2(x67282)),x67283))+~P106(f326(f326(f234(x67282),f2(x67282)),x67281))
% 178.51/178.26 [6729]~P89(x67292)+E(x67291,f2(x67292))+~E(f326(f326(f79(x67292),x67291),x67293),f2(x67292))+~P106(f326(f326(f234(x67292),f2(x67292)),x67293))+~P106(f326(f326(f234(x67292),f2(x67292)),x67291))
% 178.51/178.26 [7261]~P109(x72612)+~P12(x72612,x72611)+E(x72611,f113(x72612))+~P106(f326(f326(f328(x72612),x72613),f326(f172(x72612),f707(x72611,x72612))))+P106(f326(f326(f234(x72612),f727(x72611,x72612)),x72613))
% 178.51/178.26 [7430]~P109(x74301)+E(f16(x74301,x74302),x74303)+~P106(f326(f61(x74301),x74302))+~P106(f326(f326(f234(x74301),x74303),f353(x74303,x74302,x74301)))+~P106(f326(f326(f328(x74301),x74303),x74302))
% 178.51/178.26 [7463]~P109(x74631)+~P12(x74631,x74632)+~P12(x74631,x74633)+P12(x74631,f326(f326(f134(x74631),x74632),x74633))+P106(f326(f326(f328(x74631),f714(x74633,x74632,x74631)),f326(f172(x74631),x74632)))
% 178.51/178.26 [7464]~P109(x74641)+~P12(x74641,x74642)+~P12(x74641,x74643)+P12(x74641,f326(f326(f134(x74641),x74642),x74643))+P106(f326(f326(f328(x74641),f715(x74643,x74642,x74641)),f326(f172(x74641),x74643)))
% 178.51/178.26 [7524]~P109(x75241)+E(f16(x75241,x75242),x75243)+~P106(f326(f61(x75241),x75242))+P106(f326(f326(f328(x75241),f353(x75243,x75242,x75241)),x75242))+~P106(f326(f326(f328(x75241),x75243),x75242))
% 178.51/178.26 [7525]~P109(x75251)+E(f17(x75251,x75252),x75253)+~P106(f326(f61(x75251),x75252))+P106(f326(f326(f328(x75251),f601(x75253,x75252,x75251)),x75252))+~P106(f326(f326(f328(x75251),x75253),x75252))
% 178.51/178.26 [8087]~P109(x80871)+E(f17(x80871,x80872),x80873)+~P106(f326(f61(x80871),x80872))+~P106(f326(f326(f328(x80871),x80873),x80872))+~P106(f326(f326(f234(x80871),f601(x80873,x80872,x80871)),x80873))
% 178.51/178.26 [8399]~P109(x83991)+~P12(x83991,x83992)+~P12(x83991,x83993)+P12(x83991,f326(f326(f134(x83991),x83992),x83993))+~P106(f326(f326(f234(x83991),f714(x83993,x83992,x83991)),f715(x83993,x83992,x83991)))
% 178.51/178.26 [9187]~P78(x91872)+E(x91871,f188(f922(x91872,a910)))+~E(f326(f326(f110(x91872),f326(x91873,f489(x91871,x91873,x91872))),f326(x91873,f498(x91871,x91873,x91872))),f326(x91873,f326(f326(f110(x91872),f489(x91871,x91873,x91872)),f498(x91871,x91873,x91872))))+E(f12(x91872,f326(f309(x91872,x91872,x91873),x91871)),f326(x91873,f12(x91872,x91871)))+~P106(f326(f61(x91872),x91871))
% 178.51/178.26 [9188]~P78(x91882)+E(x91881,f188(f922(x91882,a910)))+~E(f326(f326(f101(x91882),f326(x91883,f490(x91881,x91883,x91882))),f326(x91883,f497(x91881,x91883,x91882))),f326(x91883,f326(f326(f101(x91882),f490(x91881,x91883,x91882)),f497(x91881,x91883,x91882))))+E(f13(x91882,f326(f309(x91882,x91882,x91883),x91881)),f326(x91883,f13(x91882,x91881)))+~P106(f326(f61(x91882),x91881))
% 178.51/178.26 [9189]~P109(x91892)+E(x91891,f188(f922(x91892,a910)))+~E(f326(f326(f232(x91892),f326(x91893,f491(x91891,x91893,x91892))),f326(x91893,f496(x91891,x91893,x91892))),f326(x91893,f326(f326(f232(x91892),f491(x91891,x91893,x91892)),f496(x91891,x91893,x91892))))+E(f16(x91892,f326(f309(x91892,x91892,x91893),x91891)),f326(x91893,f16(x91892,x91891)))+~P106(f326(f61(x91892),x91891))
% 178.51/178.26 [9190]~P109(x91902)+E(x91901,f188(f922(x91902,a910)))+~E(f326(f326(f233(x91902),f326(x91903,f492(x91901,x91903,x91902))),f326(x91903,f495(x91901,x91903,x91902))),f326(x91903,f326(f326(f233(x91902),f492(x91901,x91903,x91902)),f495(x91901,x91903,x91902))))+E(f17(x91902,f326(f309(x91902,x91902,x91903),x91901)),f326(x91903,f17(x91902,x91901)))+~P106(f326(f61(x91902),x91901))
% 178.51/178.26 [9258]~P109(x92582)+E(x92581,f188(f922(x92582,a910)))+~E(f326(f326(f232(x92582),f326(x92583,f493(x92581,x92583,x92582))),f326(x92583,f494(x92581,x92583,x92582))),f326(x92583,f326(f326(f232(x92582),f493(x92581,x92583,x92582)),f494(x92581,x92583,x92582))))+E(f14(x92582,f232(x92582),f326(f309(x92582,x92582,x92583),x92581)),f326(x92583,f14(x92582,f232(x92582),x92581)))+~P106(f326(f61(x92582),x92581))
% 178.51/178.26 [9259]~P109(x92592)+E(x92591,f188(f922(x92592,a910)))+~E(f326(f326(f233(x92592),f326(x92593,f483(x92591,x92593,x92592))),f326(x92593,f485(x92591,x92593,x92592))),f326(x92593,f326(f326(f233(x92592),f483(x92591,x92593,x92592)),f485(x92591,x92593,x92592))))+E(f15(x92592,f233(x92592),f326(f309(x92592,x92592,x92593),x92591)),f326(x92593,f15(x92592,f233(x92592),x92591)))+~P106(f326(f61(x92592),x92591))
% 178.51/178.26 [6744]~P68(x67442)+E(x67441,f188(f922(x67442,a910)))+~P106(f326(f61(x67442),x67441))+E(f326(f63(x67442,f80(x67442)),f326(f326(f308(x67442),x67443),x67441)),f326(f326(f80(x67442),x67443),f326(f63(x67442,f80(x67442)),x67441)))+P106(f326(f326(f328(x67442),x67443),x67441))
% 178.51/178.26 [7267]~P78(x72672)+E(f326(f326(f110(x72672),f12(x72672,x72671)),f12(x72672,x72673)),f12(x72672,x72673))+E(x72671,f188(f922(x72672,a910)))+~P106(f326(f61(x72672),x72673))+~P106(f326(f326(f234(f922(x72672,a910)),x72671),x72673))
% 178.51/178.26 [7268]~P78(x72682)+E(f326(f326(f101(x72682),f13(x72682,x72681)),f13(x72682,x72683)),f13(x72682,x72683))+E(x72681,f188(f922(x72682,a910)))+~P106(f326(f61(x72682),x72683))+~P106(f326(f326(f234(f922(x72682,a910)),x72681),x72683))
% 178.51/178.26 [7269]~P109(x72692)+E(f326(f326(f232(x72692),f16(x72692,x72691)),f16(x72692,x72693)),f16(x72692,x72693))+E(x72691,f188(f922(x72692,a910)))+~P106(f326(f61(x72692),x72693))+~P106(f326(f326(f234(f922(x72692,a910)),x72691),x72693))
% 178.51/178.26 [7270]~P109(x72702)+E(f326(f326(f233(x72702),f17(x72702,x72701)),f17(x72702,x72703)),f17(x72702,x72703))+E(x72701,f188(f922(x72702,a910)))+~P106(f326(f61(x72702),x72703))+~P106(f326(f326(f234(f922(x72702,a910)),x72701),x72703))
% 178.51/178.26 [7571]~P109(x75712)+E(x75711,f188(f922(x75712,a910)))+~P106(f326(f61(x75712),x75713))+P106(f326(f326(f234(x75712),f16(x75712,x75713)),f16(x75712,x75711)))+~P106(f326(f326(f234(f922(x75712,a910)),x75711),x75713))
% 178.51/178.26 [7572]~P109(x75722)+E(x75721,f188(f922(x75722,a910)))+~P106(f326(f61(x75722),x75723))+P106(f326(f326(f234(x75722),f17(x75722,x75721)),f17(x75722,x75723)))+~P106(f326(f326(f234(f922(x75722,a910)),x75721),x75723))
% 178.51/178.26 [7627]~P78(x76271)+E(f12(x76271,x76272),x76273)+~P106(f326(f61(x76271),x76272))+~E(f326(f326(f3(f922(x76271,a910)),x76272),f326(f326(f308(x76271),x76273),f188(f922(x76271,a910)))),f188(f922(x76271,a910)))+~P106(f326(f326(f328(x76271),x76273),x76272))
% 178.51/178.26 [7628]~P78(x76281)+E(f13(x76281,x76282),x76283)+~P106(f326(f61(x76281),x76282))+~E(f326(f326(f3(f922(x76281,a910)),x76282),f326(f326(f308(x76281),x76283),f188(f922(x76281,a910)))),f188(f922(x76281,a910)))+~P106(f326(f326(f328(x76281),x76283),x76282))
% 178.51/178.26 [7629]~P109(x76291)+E(f16(x76291,x76292),x76293)+~P106(f326(f61(x76291),x76292))+~E(f326(f326(f3(f922(x76291,a910)),x76292),f326(f326(f308(x76291),x76293),f188(f922(x76291,a910)))),f188(f922(x76291,a910)))+~P106(f326(f326(f328(x76291),x76293),x76292))
% 178.51/178.26 [7630]~P109(x76301)+E(f17(x76301,x76302),x76303)+~P106(f326(f61(x76301),x76302))+~E(f326(f326(f3(f922(x76301,a910)),x76302),f326(f326(f308(x76301),x76303),f188(f922(x76301,a910)))),f188(f922(x76301,a910)))+~P106(f326(f326(f328(x76301),x76303),x76302))
% 178.51/178.26 [7723]~P109(x77231)+E(f14(x77231,f232(x77231),x77232),x77233)+~P106(f326(f61(x77231),x77232))+~E(f326(f326(f3(f922(x77231,a910)),x77232),f326(f326(f308(x77231),x77233),f188(f922(x77231,a910)))),f188(f922(x77231,a910)))+~P106(f326(f326(f328(x77231),x77233),x77232))
% 178.51/178.26 [7724]~P109(x77241)+E(f15(x77241,f233(x77241),x77242),x77243)+~P106(f326(f61(x77241),x77242))+~E(f326(f326(f3(f922(x77241,a910)),x77242),f326(f326(f308(x77241),x77243),f188(f922(x77241,a910)))),f188(f922(x77241,a910)))+~P106(f326(f326(f328(x77241),x77243),x77242))
% 178.51/178.26 [7759]~P102(x77592)+E(x77591,f188(f922(x77592,a910)))+~P106(f326(f61(x77592),x77591))+~P106(f326(f326(f234(x77592),x77593),f711(x77593,x77591,x77592)))+P106(f326(f326(f234(x77592),x77593),f326(f63(x77592,f101(x77592)),x77591)))
% 178.51/178.26 [7760]~P109(x77602)+E(x77601,f188(f922(x77602,a910)))+~P106(f326(f61(x77602),x77601))+~P106(f326(f326(f234(x77602),x77603),f906(x77603,x77601,x77602)))+P106(f326(f326(f234(x77602),x77603),f326(f63(x77602,f232(x77602)),x77601)))
% 178.51/178.26 [7761]~P109(x77612)+E(x77611,f188(f922(x77612,a910)))+~P106(f326(f61(x77612),x77611))+~P106(f326(f326(f235(x77612),x77613),f339(x77613,x77611,x77612)))+P106(f326(f326(f235(x77612),x77613),f326(f63(x77612,f232(x77612)),x77611)))
% 178.51/178.26 [7846]~P102(x78462)+E(x78461,f188(f922(x78462,a910)))+~P106(f326(f61(x78462),x78461))+P106(f326(f326(f328(x78462),f711(x78463,x78461,x78462)),x78461))+P106(f326(f326(f234(x78462),x78463),f326(f63(x78462,f101(x78462)),x78461)))
% 178.51/178.26 [7847]~P109(x78472)+E(x78471,f188(f922(x78472,a910)))+~P106(f326(f61(x78472),x78471))+P106(f326(f326(f328(x78472),f906(x78473,x78471,x78472)),x78471))+P106(f326(f326(f234(x78472),x78473),f326(f63(x78472,f232(x78472)),x78471)))
% 178.51/178.26 [7848]~P109(x78482)+E(x78481,f188(f922(x78482,a910)))+~P106(f326(f61(x78482),x78481))+P106(f326(f326(f328(x78482),f339(x78483,x78481,x78482)),x78481))+P106(f326(f326(f235(x78482),x78483),f326(f63(x78482,f232(x78482)),x78481)))
% 178.51/178.26 [7967]~P109(x79672)+E(x79671,f188(f922(x79672,a910)))+E(f326(f326(f232(x79672),f14(x79672,f232(x79672),x79671)),f14(x79672,f232(x79672),x79673)),f14(x79672,f232(x79672),x79673))+~P106(f326(f61(x79672),x79673))+~P106(f326(f326(f234(f922(x79672,a910)),x79671),x79673))
% 178.51/178.26 [7968]~P109(x79682)+E(x79681,f188(f922(x79682,a910)))+E(f326(f326(f233(x79682),f15(x79682,f233(x79682),x79681)),f15(x79682,f233(x79682),x79683)),f15(x79682,f233(x79682),x79683))+~P106(f326(f61(x79682),x79683))+~P106(f326(f326(f234(f922(x79682,a910)),x79681),x79683))
% 178.51/178.26 [8164]~E(f866(x81641,x81643,x81642),f867(x81641,x81643,x81642))+~E(f326(f35(x81642),f868(x81641,x81643,x81642)),x81641)+E(f326(f326(f80(a914),x81641),f326(f35(f922(x81642,a910)),x81643)),f326(f35(x81642),f37(f922(x81642,a910),x81643)))+~P106(f326(f61(x81642),f37(f922(x81642,a910),x81643)))+~P106(f326(f61(f922(x81642,a910)),x81643))
% 178.51/178.26 [8339]~P109(x83392)+E(x83391,f188(f922(x83392,a910)))+~P106(f326(f61(x83392),x83393))+P106(f326(f326(f234(x83392),f326(f63(x83392,f232(x83392)),x83393)),f326(f63(x83392,f232(x83392)),x83391)))+~P106(f326(f326(f234(f922(x83392,a910)),x83391),x83393))
% 178.51/178.26 [8636]~E(f866(x86361,x86363,x86362),f867(x86361,x86363,x86362))+E(f326(f326(f80(a914),x86361),f326(f35(f922(x86362,a910)),x86363)),f326(f35(x86362),f37(f922(x86362,a910),x86363)))+P106(f326(f326(f328(f922(x86362,a910)),f868(x86361,x86363,x86362)),x86363))+~P106(f326(f61(x86362),f37(f922(x86362,a910),x86363)))+~P106(f326(f61(f922(x86362,a910)),x86363))
% 178.51/178.26 [8662]~E(f326(f35(x86622),f868(x86621,x86623,x86622)),x86621)+E(f326(f326(f80(a914),x86621),f326(f35(f922(x86622,a910)),x86623)),f326(f35(x86622),f37(f922(x86622,a910),x86623)))+P106(f326(f326(f328(f922(x86622,a910)),f867(x86621,x86623,x86622)),x86623))+~P106(f326(f61(x86622),f37(f922(x86622,a910),x86623)))+~P106(f326(f61(f922(x86622,a910)),x86623))
% 178.51/178.26 [8663]~E(f326(f35(x86632),f868(x86631,x86633,x86632)),x86631)+E(f326(f326(f80(a914),x86631),f326(f35(f922(x86632,a910)),x86633)),f326(f35(x86632),f37(f922(x86632,a910),x86633)))+P106(f326(f326(f328(f922(x86632,a910)),f866(x86631,x86633,x86632)),x86633))+~P106(f326(f61(x86632),f37(f922(x86632,a910),x86633)))+~P106(f326(f61(f922(x86632,a910)),x86633))
% 178.51/178.26 [8687]~E(f326(f35(x86872),f868(x86871,x86873,x86872)),x86871)+~E(f326(f326(f101(f922(x86872,a910)),f867(x86871,x86873,x86872)),f866(x86871,x86873,x86872)),f188(f922(x86872,a910)))+E(f326(f326(f80(a914),x86871),f326(f35(f922(x86872,a910)),x86873)),f326(f35(x86872),f37(f922(x86872,a910),x86873)))+~P106(f326(f61(f922(x86872,a910)),x86873))+~P106(f326(f61(x86872),f37(f922(x86872,a910),x86873)))
% 178.51/178.26 [8951]E(f326(f326(f80(a914),x89511),f326(f35(f922(x89512,a910)),x89513)),f326(f35(x89512),f37(f922(x89512,a910),x89513)))+P106(f326(f326(f328(f922(x89512,a910)),f868(x89511,x89513,x89512)),x89513))+P106(f326(f326(f328(f922(x89512,a910)),f867(x89511,x89513,x89512)),x89513))+~P106(f326(f61(f922(x89512,a910)),x89513))+~P106(f326(f61(x89512),f37(f922(x89512,a910),x89513)))
% 178.51/178.26 [8952]E(f326(f326(f80(a914),x89521),f326(f35(f922(x89522,a910)),x89523)),f326(f35(x89522),f37(f922(x89522,a910),x89523)))+P106(f326(f326(f328(f922(x89522,a910)),f868(x89521,x89523,x89522)),x89523))+P106(f326(f326(f328(f922(x89522,a910)),f866(x89521,x89523,x89522)),x89523))+~P106(f326(f61(f922(x89522,a910)),x89523))+~P106(f326(f61(x89522),f37(f922(x89522,a910),x89523)))
% 178.51/178.26 [8978]~E(f326(f326(f101(f922(x89782,a910)),f867(x89781,x89783,x89782)),f866(x89781,x89783,x89782)),f188(f922(x89782,a910)))+E(f326(f326(f80(a914),x89781),f326(f35(f922(x89782,a910)),x89783)),f326(f35(x89782),f37(f922(x89782,a910),x89783)))+~P106(f326(f61(f922(x89782,a910)),x89783))+P106(f326(f326(f328(f922(x89782,a910)),f868(x89781,x89783,x89782)),x89783))+~P106(f326(f61(x89782),f37(f922(x89782,a910),x89783)))
% 178.51/178.26 [9233]~P97(x92332)+E(x92331,f188(f922(x92332,a910)))+~E(f326(f326(f80(x92332),f326(x92333,f499(x92331,x92333,x92332))),f326(x92333,f500(x92331,x92333,x92332))),f326(x92333,f326(f326(f80(x92332),f499(x92331,x92333,x92332)),f500(x92331,x92333,x92332))))+~P106(f326(f61(x92332),x92331))+E(f326(f63(x92332,f80(x92332)),f326(f309(x92332,x92332,x92333),x92331)),f326(x92333,f326(f63(x92332,f80(x92332)),x92331)))
% 178.51/178.26 [10163]P106(f326(f326(x101631,x101632),x101633))+P106(f326(f326(f235(a1),f397(x101631,x101633,x101632)),f398(x101631,x101633,x101632)))+P106(f326(f326(f234(a1),f398(x101631,x101633,x101632)),f2(a1)))+P106(f326(f326(x101631,f397(x101631,x101633,x101632)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f398(x101631,x101633,x101632))))+~P106(f326(f314(f921(a1,a1),a58),f326(f326(f251(a1,a1),x101632),x101633)))
% 178.51/178.26 [10169]P106(f326(f326(x101691,x101692),x101693))+P106(f326(f326(f234(a1),f396(x101691,x101693,x101692)),f2(a1)))+P106(f326(f326(x101691,f393(x101691,x101693,x101692)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f396(x101691,x101693,x101692))))+P106(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),f393(x101691,x101693,x101692)),f396(x101691,x101693,x101692))))+~P106(f326(f314(f921(a1,a1),a52),f326(f326(f251(a1,a1),x101692),x101693)))
% 178.51/178.26 [8136]~P119(x81361)+~P106(f326(f326(f234(x81361),x81362),f77(x81361)))+~P106(f326(f326(f234(x81361),f2(x81361)),x81362))+~P106(f326(f326(f234(x81361),f2(x81361)),x81363))+P106(f326(f326(f234(x81361),f326(f326(f80(x81361),x81362),x81363)),x81363))
% 178.51/178.26 [8137]~P119(x81371)+~P106(f326(f326(f234(x81371),x81373),f77(x81371)))+~P106(f326(f326(f234(x81371),f2(x81371)),x81373))+~P106(f326(f326(f234(x81371),f2(x81371)),x81372))+P106(f326(f326(f234(x81371),f326(f326(f80(x81371),x81372),x81373)),x81372))
% 178.51/178.26 [8484]~P109(x84842)+E(x84841,f188(f922(x84842,a910)))+~P106(f326(f61(x84842),x84841))+P106(f326(f326(f234(x84842),f907(x84843,x84841,x84842)),x84843))+~P106(f326(f326(f234(x84842),f326(f63(x84842,f232(x84842)),x84841)),x84843))
% 178.51/178.26 [8485]~P109(x84852)+E(x84851,f188(f922(x84852,a910)))+~P106(f326(f61(x84852),x84851))+P106(f326(f326(f328(x84852),f907(x84853,x84851,x84852)),x84851))+~P106(f326(f326(f234(x84852),f326(f63(x84852,f232(x84852)),x84851)),x84853))
% 178.51/178.26 [8486]~P109(x84862)+E(x84861,f188(f922(x84862,a910)))+~P106(f326(f61(x84862),x84861))+P106(f326(f326(f328(x84862),f340(x84863,x84861,x84862)),x84861))+~P106(f326(f326(f235(x84862),f326(f63(x84862,f232(x84862)),x84861)),x84863))
% 178.51/178.26 [8487]~P109(x84872)+E(x84871,f188(f922(x84872,a910)))+~P106(f326(f61(x84872),x84871))+P106(f326(f326(f235(x84872),f340(x84873,x84871,x84872)),x84873))+~P106(f326(f326(f235(x84872),f326(f63(x84872,f232(x84872)),x84871)),x84873))
% 178.51/178.26 [8573]~P106(f326(x85731,x85733))+P106(f326(x85731,f454(x85731,x85732)))+P106(f326(x85731,f447(x85731,x85732)))+~P106(f326(f326(f235(a1),f2(a1)),x85732))+P106(f326(x85731,f326(f326(f3(a1),f447(x85731,x85732)),f326(f326(f80(a1),f455(x85731,x85732)),x85732))))
% 178.51/178.26 [8788]~P106(f326(x87881,x87883))+P106(f326(x87881,f447(x87881,x87882)))+~P106(f326(f326(f235(a1),f2(a1)),x87882))+P106(f326(f326(f328(a1),f454(x87881,x87882)),f302(a1,f77(a1),x87882)))+P106(f326(x87881,f326(f326(f3(a1),f447(x87881,x87882)),f326(f326(f80(a1),f455(x87881,x87882)),x87882))))
% 178.51/178.26 [9000]~P106(f326(x90001,x90003))+~P106(f326(x90001,f447(x90001,x90002)))+P106(f326(x90001,f454(x90001,x90002)))+~P106(f326(f326(f235(a1),f2(a1)),x90002))+~P106(f326(x90001,f326(f326(f3(a1),f447(x90001,x90002)),f326(f326(f80(a1),f455(x90001,x90002)),x90002))))
% 178.51/178.26 [9124]~P106(f326(x91241,x91243))+~P106(f326(x91241,f447(x91241,x91242)))+~P106(f326(f326(f235(a1),f2(a1)),x91242))+P106(f326(f326(f328(a1),f454(x91241,x91242)),f302(a1,f77(a1),x91242)))+~P106(f326(x91241,f326(f326(f3(a1),f447(x91241,x91242)),f326(f326(f80(a1),f455(x91241,x91242)),x91242))))
% 178.51/178.26 [8906]~P78(x89061)+~P106(f326(f61(x89061),x89062))+E(f326(f326(f3(f922(x89061,a910)),x89062),f326(f326(f308(x89061),x89063),f188(f922(x89061,a910)))),f188(f922(x89061,a910)))+~P106(f326(f326(f328(x89061),x89063),x89062))+E(f326(f326(f110(x89061),x89063),f12(x89061,f326(f326(f3(f922(x89061,a910)),x89062),f326(f326(f308(x89061),x89063),f188(f922(x89061,a910)))))),f12(x89061,x89062))
% 178.51/178.26 [8907]~P78(x89071)+~P106(f326(f61(x89071),x89072))+E(f326(f326(f3(f922(x89071,a910)),x89072),f326(f326(f308(x89071),x89073),f188(f922(x89071,a910)))),f188(f922(x89071,a910)))+~P106(f326(f326(f328(x89071),x89073),x89072))+E(f326(f326(f101(x89071),x89073),f13(x89071,f326(f326(f3(f922(x89071,a910)),x89072),f326(f326(f308(x89071),x89073),f188(f922(x89071,a910)))))),f13(x89071,x89072))
% 178.51/178.26 [8908]~P109(x89081)+~P106(f326(f61(x89081),x89082))+E(f326(f326(f3(f922(x89081,a910)),x89082),f326(f326(f308(x89081),x89083),f188(f922(x89081,a910)))),f188(f922(x89081,a910)))+~P106(f326(f326(f328(x89081),x89083),x89082))+E(f326(f326(f232(x89081),x89083),f16(x89081,f326(f326(f3(f922(x89081,a910)),x89082),f326(f326(f308(x89081),x89083),f188(f922(x89081,a910)))))),f16(x89081,x89082))
% 178.51/178.26 [8909]~P109(x89091)+~P106(f326(f61(x89091),x89092))+E(f326(f326(f3(f922(x89091,a910)),x89092),f326(f326(f308(x89091),x89093),f188(f922(x89091,a910)))),f188(f922(x89091,a910)))+~P106(f326(f326(f328(x89091),x89093),x89092))+E(f326(f326(f233(x89091),x89093),f17(x89091,f326(f326(f3(f922(x89091,a910)),x89092),f326(f326(f308(x89091),x89093),f188(f922(x89091,a910)))))),f17(x89091,x89092))
% 178.51/178.26 [8971]~P109(x89711)+~P106(f326(f61(x89711),x89712))+E(f326(f326(f3(f922(x89711,a910)),x89712),f326(f326(f308(x89711),x89713),f188(f922(x89711,a910)))),f188(f922(x89711,a910)))+~P106(f326(f326(f328(x89711),x89713),x89712))+E(f326(f326(f232(x89711),x89713),f14(x89711,f232(x89711),f326(f326(f3(f922(x89711,a910)),x89712),f326(f326(f308(x89711),x89713),f188(f922(x89711,a910)))))),f14(x89711,f232(x89711),x89712))
% 178.51/178.26 [8972]~P109(x89721)+~P106(f326(f61(x89721),x89722))+E(f326(f326(f3(f922(x89721,a910)),x89722),f326(f326(f308(x89721),x89723),f188(f922(x89721,a910)))),f188(f922(x89721,a910)))+~P106(f326(f326(f328(x89721),x89723),x89722))+E(f326(f326(f233(x89721),x89723),f15(x89721,f233(x89721),f326(f326(f3(f922(x89721,a910)),x89722),f326(f326(f308(x89721),x89723),f188(f922(x89721,a910)))))),f15(x89721,f233(x89721),x89722))
% 178.51/178.26 [8987]~P78(x89871)+~P106(f326(f61(x89871),x89873))+~P106(f326(f61(x89871),x89872))+E(f326(f326(f101(f922(x89871,a910)),x89872),x89873),f188(f922(x89871,a910)))+E(f326(f326(f110(x89871),f12(x89871,f326(f326(f110(f922(x89871,a910)),x89872),x89873))),f12(x89871,f326(f326(f101(f922(x89871,a910)),x89872),x89873))),f326(f326(f110(x89871),f12(x89871,x89872)),f12(x89871,x89873)))
% 178.51/178.26 [8988]~P78(x89881)+~P106(f326(f61(x89881),x89883))+~P106(f326(f61(x89881),x89882))+E(f326(f326(f101(f922(x89881,a910)),x89882),x89883),f188(f922(x89881,a910)))+E(f326(f326(f101(x89881),f13(x89881,f326(f326(f110(f922(x89881,a910)),x89882),x89883))),f13(x89881,f326(f326(f101(f922(x89881,a910)),x89882),x89883))),f326(f326(f101(x89881),f13(x89881,x89882)),f13(x89881,x89883)))
% 178.51/178.26 [8989]~P109(x89891)+~P106(f326(f61(x89891),x89893))+~P106(f326(f61(x89891),x89892))+E(f326(f326(f101(f922(x89891,a910)),x89892),x89893),f188(f922(x89891,a910)))+E(f326(f326(f232(x89891),f16(x89891,f326(f326(f110(f922(x89891,a910)),x89892),x89893))),f16(x89891,f326(f326(f101(f922(x89891,a910)),x89892),x89893))),f326(f326(f232(x89891),f16(x89891,x89892)),f16(x89891,x89893)))
% 178.51/178.26 [8990]~P109(x89901)+~P106(f326(f61(x89901),x89903))+~P106(f326(f61(x89901),x89902))+E(f326(f326(f101(f922(x89901,a910)),x89902),x89903),f188(f922(x89901,a910)))+E(f326(f326(f233(x89901),f17(x89901,f326(f326(f110(f922(x89901,a910)),x89902),x89903))),f17(x89901,f326(f326(f101(f922(x89901,a910)),x89902),x89903))),f326(f326(f233(x89901),f17(x89901,x89902)),f17(x89901,x89903)))
% 178.51/178.26 [9205]~P109(x92051)+~P106(f326(f61(x92051),x92053))+~P106(f326(f61(x92051),x92052))+E(f326(f326(f101(f922(x92051,a910)),x92052),x92053),f188(f922(x92051,a910)))+E(f326(f326(f232(x92051),f14(x92051,f232(x92051),f326(f326(f110(f922(x92051,a910)),x92052),x92053))),f14(x92051,f232(x92051),f326(f326(f101(f922(x92051,a910)),x92052),x92053))),f326(f326(f232(x92051),f14(x92051,f232(x92051),x92052)),f14(x92051,f232(x92051),x92053)))
% 178.51/178.26 [9206]~P109(x92061)+~P106(f326(f61(x92061),x92063))+~P106(f326(f61(x92061),x92062))+E(f326(f326(f101(f922(x92061,a910)),x92062),x92063),f188(f922(x92061,a910)))+E(f326(f326(f233(x92061),f15(x92061,f233(x92061),f326(f326(f110(f922(x92061,a910)),x92062),x92063))),f15(x92061,f233(x92061),f326(f326(f101(f922(x92061,a910)),x92062),x92063))),f326(f326(f233(x92061),f15(x92061,f233(x92061),x92062)),f15(x92061,f233(x92061),x92063)))
% 178.51/178.26 [10011]~P125(x100113)+E(x100111,x100112)+~P106(f326(f326(f234(x100113),f2(x100113)),x100112))+~P106(f326(f326(f234(x100113),f2(x100113)),x100111))+~E(f326(f326(f243(x100113),x100111),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f243(x100113),x100112),f326(f103(a914),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 178.51/178.26 [6541]E(f874(x65411,x65412,x65413),x65414)+E(f326(x65411,x65414),f2(a914))+~E(f326(f326(f8(x65413,a914),x65411),x65412),f77(a914))+~P106(f326(f61(x65413),x65412))+~P106(f326(f326(f328(x65413),x65414),x65412))
% 178.51/178.26 [6605]E(f876(x66051,x66052,x66053),x66054)+E(f326(x66051,x66054),f2(a914))+~E(f326(f326(f8(x66053,a914),x66051),x66052),f326(a112,f2(a914)))+~P106(f326(f61(x66053),x66052))+~P106(f326(f326(f328(x66053),x66054),x66052))
% 178.51/178.26 [6714]~P109(x67141)+~P4(x67141)+P106(f326(f326(f235(x67141),x67142),f37(x67141,x67143)))+~P106(f326(f326(f235(x67141),x67142),x67144))+~P106(f326(f326(f328(x67141),x67144),x67143))
% 178.51/178.26 [6887]~P109(x68871)+~P4(x68871)+~P106(f326(f326(f235(x68871),x68874),x68873))+P106(f326(f326(f235(x68871),f38(x68871,x68872)),x68873))+~P106(f326(f326(f328(x68871),x68874),x68872))
% 178.51/178.26 [7146]~P125(x71463)+E(x71461,x71462)+~E(f326(f326(f243(x71463),x71461),f326(a112,x71464)),f326(f326(f243(x71463),x71462),f326(a112,x71464)))+~P106(f326(f326(f234(x71463),f2(x71463)),x71462))+~P106(f326(f326(f234(x71463),f2(x71463)),x71461))
% 178.51/178.26 [7356]~E(f882(x73562,x73563,x73561,x73564),x73564)+~E(f326(x73562,x73564),f77(a914))+E(f326(f326(f8(x73561,a914),x73562),x73563),f77(a914))+~P106(f326(f61(x73561),x73563))+~P106(f326(f326(f328(x73561),x73564),x73563))
% 178.51/178.26 [7363]~P113(x73634)+~P133(x73634)+E(f326(x73631,f865(x73631,x73632,x73633,x73634)),f2(x73634))+~E(f326(f326(f11(x73633,x73634),x73631),x73632),f2(x73634))+~P106(f326(f61(x73633),x73632))
% 178.51/178.26 [7453]~E(f880(x74532,x74533,x74531,x74534),x74534)+~E(f326(x74532,x74534),f326(a112,f2(a914)))+E(f326(f326(f8(x74531,a914),x74532),x74533),f326(a112,f2(a914)))+~P106(f326(f61(x74531),x74533))+~P106(f326(f326(f328(x74531),x74534),x74533))
% 178.51/178.26 [8176]~E(f326(x81762,x81764),f77(a914))+~E(f326(x81762,f882(x81762,x81763,x81761,x81764)),f2(a914))+E(f326(f326(f8(x81761,a914),x81762),x81763),f77(a914))+~P106(f326(f61(x81761),x81763))+~P106(f326(f326(f328(x81761),x81764),x81763))
% 178.51/178.26 [8214]~E(f326(x82142,x82144),f326(a112,f2(a914)))+~E(f326(x82142,f880(x82142,x82143,x82141,x82144)),f2(a914))+E(f326(f326(f8(x82141,a914),x82142),x82143),f326(a112,f2(a914)))+~P106(f326(f61(x82141),x82143))+~P106(f326(f326(f328(x82141),x82144),x82143))
% 178.51/178.26 [8755]~P109(x87551)+~P12(x87551,x87554)+P12(x87551,x87552)+~E(x87552,f326(f326(f151(x87551),x87553),x87554))+~P106(f326(f326(f234(x87551),x87553),f728(x87552,x87551,x87554,x87553)))
% 178.51/178.26 [8792]E(x87921,x87922)+E(f326(f326(f3(a1),f438(x87923,x87922,x87924,x87921)),f439(x87923,x87922,x87924,x87921)),x87921)+~E(f326(f326(f79(a1),x87921),x87924),x87922)+~P106(f326(f326(f235(a1),f2(a1)),x87924))+~P106(f326(f326(f328(a1),x87922),x87923))
% 178.51/178.26 [8793]E(x87931,x87932)+E(f326(f326(f79(a1),f440(x87933,x87932,x87934,x87931)),f441(x87933,x87932,x87934,x87931)),x87931)+~E(f326(f326(f3(a1),x87931),x87934),x87932)+~P106(f326(f326(f235(a1),f2(a1)),x87934))+~P106(f326(f326(f328(a1),x87932),x87933))
% 178.51/178.26 [8985]E(f326(x89851,f360(x89852,x89851,x89853,x89854)),x89852)+P106(f326(f326(f234(a914),x89854),f361(x89852,x89851,x89853,x89854)))+~P106(f326(f326(f234(a1),x89852),f326(x89851,x89853)))+~P106(f326(f326(f235(a914),x89854),x89853))+~P106(f326(f326(f234(a1),f326(x89851,x89854)),x89852))
% 178.51/178.26 [8986]~P109(x89861)+~P12(x89861,x89863)+P12(x89861,x89862)+~E(x89862,f326(f326(f151(x89861),x89864),x89863))+P106(f326(f326(f328(x89861),f728(x89862,x89861,x89863,x89864)),f326(f172(x89861),x89863)))
% 178.51/178.26 [9004]~P113(x90044)+~P133(x90044)+~E(f326(f326(f11(x90041,x90044),x90042),x90043),f2(x90044))+~P106(f326(f61(x90041),x90043))+P106(f326(f326(f328(x90041),f865(x90042,x90043,x90041,x90044)),x90043))
% 178.51/178.26 [9042]~E(f326(x90422,x90424),f77(a914))+E(f326(f326(f8(x90421,a914),x90422),x90423),f77(a914))+~P106(f326(f61(x90421),x90423))+~P106(f326(f326(f328(x90421),x90424),x90423))+P106(f326(f326(f328(x90421),f882(x90422,x90423,x90421,x90424)),x90423))
% 178.51/178.26 [9054]E(x90541,x90542)+~E(f326(f326(f79(a1),x90542),x90544),x90541)+~P106(f326(f326(f235(a1),f2(a1)),x90544))+~P106(f326(f326(f328(a1),x90541),x90543))+P106(f326(f326(f328(a1),f438(x90543,x90541,x90544,x90542)),x90543))
% 178.51/178.26 [9055]E(x90551,x90552)+~E(f326(f326(f3(a1),x90552),x90554),x90551)+~P106(f326(f326(f235(a1),f2(a1)),x90554))+~P106(f326(f326(f328(a1),x90551),x90553))+P106(f326(f326(f328(a1),f440(x90553,x90551,x90554,x90552)),x90553))
% 178.51/178.26 [9057]~E(f326(x90572,x90574),f326(a112,f2(a914)))+E(f326(f326(f8(x90571,a914),x90572),x90573),f326(a112,f2(a914)))+~P106(f326(f61(x90571),x90573))+~P106(f326(f326(f328(x90571),x90574),x90573))+P106(f326(f326(f328(x90571),f880(x90572,x90573,x90571,x90574)),x90573))
% 178.51/178.26 [9062]P58(x90622,x90623,x90624,x90621)+E(x90621,f188(f922(x90622,a910)))+~P106(f326(f61(x90622),x90624))+~P106(f326(f61(x90622),x90621))+P106(f326(f326(f328(x90622),f794(x90623,x90621,x90624,x90622)),x90624))
% 178.51/178.26 [9063]P58(x90632,x90633,x90634,x90631)+E(x90631,f188(f922(x90632,a910)))+~P106(f326(f61(x90632),x90634))+~P106(f326(f61(x90632),x90631))+P106(f326(f326(f328(x90632),f528(x90631,x90634,x90633,x90632)),x90634))
% 178.51/178.26 [9064]P58(x90642,x90643,x90644,x90641)+E(x90641,f188(f922(x90642,a910)))+~P106(f326(f61(x90642),x90644))+~P106(f326(f61(x90642),x90641))+P106(f326(f326(f328(x90642),f796(x90641,x90644,x90643,x90642)),x90644))
% 178.51/178.26 [9137]E(x91371,x91372)+~E(f326(f326(f79(a1),x91372),x91374),x91371)+~P106(f326(f326(f235(a1),f2(a1)),x91374))+~P106(f326(f326(f328(a1),x91371),x91373))+P106(f326(f326(f328(a1),f439(x91373,x91371,x91374,x91372)),f302(a1,f77(a1),x91374)))
% 178.51/178.26 [9138]E(x91381,x91382)+~E(f326(f326(f3(a1),x91382),x91384),x91381)+~P106(f326(f326(f235(a1),f2(a1)),x91384))+~P106(f326(f326(f328(a1),x91381),x91383))+P106(f326(f326(f328(a1),f441(x91383,x91381,x91384,x91382)),f302(a1,f77(a1),x91384)))
% 178.51/178.26 [9211]P106(f326(f326(f234(a914),x92111),f360(x92112,x92113,x92114,x92111)))+~P106(f326(f326(f234(a1),x92112),f326(x92113,x92114)))+P106(f326(f326(f234(a914),x92111),f361(x92112,x92113,x92114,x92111)))+~P106(f326(f326(f235(a914),x92111),x92114))+~P106(f326(f326(f234(a1),f326(x92113,x92111)),x92112))
% 178.51/178.26 [9325]E(f326(x93251,f360(x93252,x93251,x93253,x93254)),x93252)+~P106(f326(f326(f234(a1),x93252),f326(x93251,x93253)))+P106(f326(f326(f235(a914),f361(x93252,x93251,x93253,x93254)),x93253))+~P106(f326(f326(f235(a914),x93254),x93253))+~P106(f326(f326(f234(a1),f326(x93251,x93254)),x93252))
% 178.51/178.26 [9438]~P106(f326(f326(f286(a914),x94384),x94381))+~P106(f326(f326(f286(a914),x94384),x94383))+~P106(f326(f326(f286(a914),x94382),x94381))+P106(f326(f326(f286(a914),x94381),x94382))+P106(f326(f326(f235(f922(a914,a910)),f295(a914,f286(a914),x94383,x94382)),f295(a914,f286(a914),x94384,x94381)))
% 178.51/178.26 [9439]~P106(f326(f326(f286(a914),x94392),x94391))+~P106(f326(f326(f286(a914),x94393),x94394))+~P106(f326(f326(f286(a914),x94392),x94394))+P106(f326(f326(f286(a914),x94391),x94392))+P106(f326(f326(f235(f922(a914,a910)),f295(a914,f286(a914),x94391,x94393)),f295(a914,f286(a914),x94392,x94394)))
% 178.51/178.26 [9456]~P106(f326(f326(f234(a1),x94562),f326(x94563,x94564)))+P106(f326(f326(f234(a914),x94561),f361(x94562,x94563,x94564,x94561)))+P106(f326(f326(f234(a914),f360(x94562,x94563,x94564,x94561)),x94564))+~P106(f326(f326(f235(a914),x94561),x94564))+~P106(f326(f326(f234(a1),f326(x94563,x94561)),x94562))
% 178.51/178.26 [9457]~P106(f326(f326(f234(a1),x94572),f326(x94573,x94574)))+P106(f326(f326(f234(a914),x94571),f360(x94572,x94573,x94574,x94571)))+P106(f326(f326(f235(a914),f361(x94572,x94573,x94574,x94571)),x94574))+~P106(f326(f326(f235(a914),x94571),x94574))+~P106(f326(f326(f234(a1),f326(x94573,x94571)),x94572))
% 178.51/178.26 [9565]~P106(f326(f326(f234(a1),x95651),f326(x95652,x95653)))+P106(f326(f326(f235(a914),f361(x95651,x95652,x95653,x95654)),x95653))+~P106(f326(f326(f235(a914),x95654),x95653))+~P106(f326(f326(f234(a1),f326(x95652,x95654)),x95651))+P106(f326(f326(f234(a914),f360(x95651,x95652,x95653,x95654)),x95653))
% 178.51/178.26 [9657]E(x96571,f188(f922(x96572,a910)))+~P106(f326(f61(x96572),x96574))+~P106(f326(f61(x96572),x96571))+P106(f326(f326(f328(f921(f922(x96572,a910),f922(x96572,a910))),f326(f326(f251(f922(x96572,a910),f922(x96572,a910)),x96574),x96571)),f318(x96572,x96573)))+P106(f326(f326(f328(x96572),f534(x96573,x96571,x96574,x96572)),x96574))
% 178.51/178.26 [9658]E(x96581,f188(f922(x96582,a910)))+~P106(f326(f61(x96582),x96584))+~P106(f326(f61(x96582),x96581))+P106(f326(f326(f328(f921(f922(x96582,a910),f922(x96582,a910))),f326(f326(f251(f922(x96582,a910),f922(x96582,a910)),x96584),x96581)),f318(x96582,x96583)))+P106(f326(f326(f328(x96582),f607(x96583,x96581,x96584,x96582)),x96584))
% 178.51/178.26 [10324]E(f326(x103241,f360(x103242,x103241,x103243,x103244)),x103242)+~P106(f326(f326(f234(a1),x103242),f326(x103241,x103243)))+~P106(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x103241,f326(f326(f79(a914),f361(x103242,x103241,x103243,x103244)),f77(a914)))),f326(x103241,f361(x103242,x103241,x103243,x103244))))),f77(a1)))+~P106(f326(f326(f235(a914),x103244),x103243))+~P106(f326(f326(f234(a1),f326(x103241,x103244)),x103242))
% 178.51/178.26 [10325]~P106(f326(f326(f234(a1),x103252),f326(x103253,x103254)))+P106(f326(f326(f234(a914),x103251),f360(x103252,x103253,x103254,x103251)))+~P106(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x103253,f326(f326(f79(a914),f361(x103252,x103253,x103254,x103251)),f77(a914)))),f326(x103253,f361(x103252,x103253,x103254,x103251))))),f77(a1)))+~P106(f326(f326(f235(a914),x103251),x103254))+~P106(f326(f326(f234(a1),f326(x103253,x103251)),x103252))
% 178.51/178.26 [10326]~P106(f326(f326(f234(a1),x103261),f326(x103262,x103263)))+~P106(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x103262,f326(f326(f79(a914),f361(x103261,x103262,x103263,x103264)),f77(a914)))),f326(x103262,f361(x103261,x103262,x103263,x103264))))),f77(a1)))+~P106(f326(f326(f235(a914),x103264),x103263))+~P106(f326(f326(f234(a1),f326(x103262,x103264)),x103261))+P106(f326(f326(f234(a914),f360(x103261,x103262,x103263,x103264)),x103263))
% 178.51/178.26 [7416]~P65(x74161)+P106(f326(f326(f235(x74161),x74162),f2(x74161)))+~P106(f326(f326(f234(x74161),x74163),f2(x74161)))+P106(f326(f326(f235(x74161),f2(x74161)),x74162))+P106(f326(f326(f234(x74161),x74163),f326(f326(f289(x74161),x74164),x74162)))
% 178.51/178.26 [7417]~P65(x74171)+P106(f326(f326(f235(x74171),x74172),f2(x74171)))+~P106(f326(f326(f235(x74171),x74173),f2(x74171)))+P106(f326(f326(f235(x74171),f2(x74171)),x74172))+P106(f326(f326(f235(x74171),x74173),f326(f326(f289(x74171),x74174),x74172)))
% 178.51/178.26 [7664]~P65(x76641)+P106(f326(f326(f234(x76641),x76642),f2(x76641)))+P106(f326(f326(f235(x76641),x76643),f2(x76641)))+P106(f326(f326(f235(x76641),f2(x76641)),x76643))+~P106(f326(f326(f234(x76641),x76642),f326(f326(f289(x76641),x76644),x76643)))
% 178.51/178.26 [7665]~P65(x76651)+P106(f326(f326(f235(x76651),x76652),f2(x76651)))+P106(f326(f326(f235(x76651),x76653),f2(x76651)))+P106(f326(f326(f235(x76651),f2(x76651)),x76653))+~P106(f326(f326(f235(x76651),x76652),f326(f326(f289(x76651),x76654),x76653)))
% 178.51/178.26 [7780]E(x77801,x77802)+~E(f326(f326(f164(x77803),x77804),x77801),f326(f326(f164(x77803),x77804),x77802))+~P106(f326(f137(x77803),x77804))+~P106(f326(f326(f235(a914),x77802),f326(f189(f915(x77803)),x77804)))+~P106(f326(f326(f235(a914),x77801),f326(f189(f915(x77803)),x77804)))
% 178.51/178.26 [8138]~P65(x81381)+~P106(f326(f326(f234(x81381),x81383),f2(x81381)))+P106(f326(f326(f235(x81381),f2(x81381)),x81382))+~P106(f326(f326(f234(x81381),x81384),f326(f326(f80(x81381),x81383),x81382)))+P106(f326(f326(f234(x81381),x81383),f326(f326(f289(x81381),x81384),x81382)))
% 178.51/178.26 [8139]~P65(x81391)+~P106(f326(f326(f235(x81391),x81393),f2(x81391)))+P106(f326(f326(f235(x81391),f2(x81391)),x81392))+~P106(f326(f326(f235(x81391),x81394),f326(f326(f80(x81391),x81393),x81392)))+P106(f326(f326(f235(x81391),x81393),f326(f326(f289(x81391),x81394),x81392)))
% 178.51/178.26 [8140]~P65(x81401)+~P106(f326(f326(f235(x81401),x81402),f2(x81401)))+P106(f326(f326(f235(x81401),f2(x81401)),x81402))+~P106(f326(f326(f234(x81401),x81404),f326(f326(f80(x81401),x81403),x81402)))+P106(f326(f326(f234(x81401),x81403),f326(f326(f289(x81401),x81404),x81402)))
% 178.51/178.26 [8141]~P65(x81411)+~P106(f326(f326(f235(x81411),x81412),f2(x81411)))+P106(f326(f326(f235(x81411),f2(x81411)),x81412))+~P106(f326(f326(f234(x81411),x81414),f326(f326(f289(x81411),x81413),x81412)))+P106(f326(f326(f234(x81411),x81413),f326(f326(f80(x81411),x81414),x81412)))
% 178.51/178.26 [8142]~P65(x81421)+~P106(f326(f326(f235(x81421),x81422),f2(x81421)))+P106(f326(f326(f235(x81421),f2(x81421)),x81422))+~P106(f326(f326(f235(x81421),x81424),f326(f326(f80(x81421),x81423),x81422)))+P106(f326(f326(f235(x81421),x81423),f326(f326(f289(x81421),x81424),x81422)))
% 178.51/178.26 [8143]~P65(x81431)+~P106(f326(f326(f235(x81431),x81432),f2(x81431)))+P106(f326(f326(f235(x81431),f2(x81431)),x81432))+~P106(f326(f326(f235(x81431),x81434),f326(f326(f289(x81431),x81433),x81432)))+P106(f326(f326(f235(x81431),x81433),f326(f326(f80(x81431),x81434),x81432)))
% 178.51/178.26 [8282]~P109(x82821)+~P12(x82821,x82822)+~P106(f326(f326(f234(a914),x82823),x82824))+P106(f326(f326(f234(x82821),f326(f326(f164(x82821),x82822),x82823)),f326(f326(f164(x82821),x82822),x82824)))+~P106(f326(f326(f235(a914),x82824),f326(f189(f915(x82821)),x82822)))
% 178.51/178.26 [8330]~P125(x83301)+~P106(f326(f326(f234(x83301),x83302),f77(x83301)))+~P106(f326(f326(f234(x83301),f2(x83301)),x83302))+~P106(f326(f326(f234(a914),x83304),x83303))+P106(f326(f326(f234(x83301),f326(f326(f243(x83301),x83302),x83303)),f326(f326(f243(x83301),x83302),x83304)))
% 178.51/178.26 [8331]~P125(x83311)+~P106(f326(f326(f235(x83311),x83312),f77(x83311)))+~P106(f326(f326(f235(x83311),f2(x83311)),x83312))+~P106(f326(f326(f235(a914),x83314),x83313))+P106(f326(f326(f235(x83311),f326(f326(f243(x83311),x83312),x83313)),f326(f326(f243(x83311),x83312),x83314)))
% 178.51/178.26 [8332]~P125(x83321)+~P106(f326(f326(f234(x83321),f2(x83321)),x83322))+~P106(f326(f326(f235(a914),f2(a914)),x83323))+~P106(f326(f326(f235(x83321),x83322),x83324))+P106(f326(f326(f235(x83321),f326(f326(f243(x83321),x83322),x83323)),f326(f326(f243(x83321),x83324),x83323)))
% 178.51/178.26 [8350]~P109(x83501)+~P12(x83501,f326(f168(x83501),x83502))+~P106(f326(f326(f234(a914),x83504),x83503))+P106(f326(f326(f234(x83501),f326(f326(f164(x83501),x83502),x83503)),f326(f326(f164(x83501),x83502),x83504)))+~P106(f326(f326(f235(a914),x83503),f326(f189(f915(x83501)),x83502)))
% 178.51/178.26 [8593]~P65(x85931)+~P106(f326(f326(f234(x85931),x85932),f2(x85931)))+~P106(f326(f326(f234(x85931),x85933),x85934))+~P106(f326(f326(f235(x85931),f2(x85931)),f326(f326(f80(x85931),x85933),x85934)))+P106(f326(f326(f234(x85931),f326(f326(f289(x85931),x85932),x85933)),f326(f326(f289(x85931),x85932),x85934)))
% 178.51/178.26 [8594]~P66(x85941)+~P106(f326(f326(f235(x85941),x85942),f2(x85941)))+~P106(f326(f326(f235(x85941),x85943),x85944))+~P106(f326(f326(f235(x85941),f2(x85941)),f326(f326(f80(x85941),x85943),x85944)))+P106(f326(f326(f235(x85941),f326(f326(f289(x85941),x85942),x85943)),f326(f326(f289(x85941),x85942),x85944)))
% 178.51/178.26 [8603]~P66(x86031)+~P106(f326(f326(f234(x86031),x86034),x86033))+~P106(f326(f326(f234(x86031),f2(x86031)),x86032))+~P106(f326(f326(f235(x86031),f2(x86031)),f326(f326(f80(x86031),x86033),x86034)))+P106(f326(f326(f234(x86031),f326(f326(f289(x86031),x86032),x86033)),f326(f326(f289(x86031),x86032),x86034)))
% 178.51/178.26 [8604]~P66(x86041)+~P106(f326(f326(f235(x86041),x86044),x86043))+~P106(f326(f326(f235(x86041),f2(x86041)),x86042))+~P106(f326(f326(f235(x86041),f2(x86041)),f326(f326(f80(x86041),x86043),x86044)))+P106(f326(f326(f235(x86041),f326(f326(f289(x86041),x86042),x86043)),f326(f326(f289(x86041),x86042),x86044)))
% 178.51/178.26 [8703]P106(f326(x87031,x87032))+~P106(f326(f61(x87034),x87032))+P106(f326(x87031,f533(x87031,x87033,x87032,x87034)))+~P106(f326(x87031,f188(f922(x87034,a910))))+~P106(f326(f326(f234(f922(x87034,a910)),x87032),x87033))
% 178.51/178.26 [8712]P106(f326(x87121,x87122))+P106(f326(f61(x87123),f533(x87121,x87124,x87122,x87123)))+~P106(f326(f61(x87123),x87122))+~P106(f326(x87121,f188(f922(x87123,a910))))+~P106(f326(f326(f234(f922(x87123,a910)),x87122),x87124))
% 178.51/178.26 [8980]E(f326(f326(f79(a1),f442(x89801,x89802,x89803,x89804)),f443(x89801,x89802,x89803,x89804)),x89804)+~P106(f326(f326(f235(a1),f2(a1)),x89803))+~P106(f326(f326(f235(a1),x89802),x89804))+~P106(f326(f326(f328(a1),x89802),x89801))+P106(f326(f326(f235(a1),x89802),f326(f326(f3(a1),x89804),x89803)))
% 178.51/178.26 [9193]~P106(f326(f326(f235(a1),f2(a1)),x91933))+~P106(f326(f326(f235(a1),x91932),x91934))+~P106(f326(f326(f328(a1),x91932),x91931))+P106(f326(f326(f328(a1),f442(x91931,x91932,x91933,x91934)),x91931))+P106(f326(f326(f235(a1),x91932),f326(f326(f3(a1),x91934),x91933)))
% 178.51/178.26 [9204]P106(f326(x92041,x92042))+~P106(f326(f61(x92043),x92042))+P106(f326(f326(f328(x92043),f522(x92041,x92044,x92042,x92043)),x92044))+~P106(f326(x92041,f188(f922(x92043,a910))))+~P106(f326(f326(f234(f922(x92043,a910)),x92042),x92044))
% 178.51/178.26 [9221]E(f326(f326(f79(a1),f427(x92211,x92212,x92213,x92214)),f428(x92211,x92212,x92213,x92214)),x92214)+~P106(f326(f326(f235(a1),f2(a1)),x92213))+~P106(f326(f326(f234(a1),x92212),x92214))+P106(f326(f326(f234(a1),x92212),f326(f326(f3(a1),x92214),x92213)))+~P106(f326(f326(f328(a1),f326(f326(f3(a1),x92212),f77(a1))),x92211))
% 178.51/178.26 [9275]~P106(f326(f326(f235(a1),f2(a1)),x92753))+~P106(f326(f326(f235(a1),x92751),x92752))+~P106(f326(f326(f328(a1),x92751),x92754))+P106(f326(f326(f328(a1),f443(x92754,x92751,x92753,x92752)),f302(a1,f77(a1),x92753)))+P106(f326(f326(f235(a1),x92751),f326(f326(f3(a1),x92752),x92753)))
% 178.51/178.26 [9301]~P70(x93012)+~E(f778(x93013,x93014,x93011,x93012),f779(x93013,x93014,x93011,x93012))+~P106(f326(f61(x93011),f777(x93013,x93014,x93011,x93012)))+E(f326(f326(f8(f922(x93011,a910),x93012),f326(f8(x93011,x93012),x93013)),x93014),f326(f326(f8(x93011,x93012),x93013),f37(f922(x93011,a910),x93014)))+~P106(f326(f61(f922(x93011,a910)),x93014))
% 178.51/178.26 [9305]~P70(x93052)+~E(f326(x93053,f781(x93053,x93054,x93051,x93052)),f2(x93052))+~P106(f326(f61(x93051),f777(x93053,x93054,x93051,x93052)))+E(f326(f326(f8(f922(x93051,a910),x93052),f326(f8(x93051,x93052),x93053)),x93054),f326(f326(f8(x93051,x93052),x93053),f37(f922(x93051,a910),x93054)))+~P106(f326(f61(f922(x93051,a910)),x93054))
% 178.51/178.26 [9369]~P106(f326(f326(f235(a1),f2(a1)),x93693))+~P106(f326(f326(f234(a1),x93692),x93694))+P106(f326(f326(f328(a1),f427(x93691,x93692,x93693,x93694)),x93691))+P106(f326(f326(f234(a1),x93692),f326(f326(f3(a1),x93694),x93693)))+~P106(f326(f326(f328(a1),f326(f326(f3(a1),x93692),f77(a1))),x93691))
% 178.51/178.26 [9413]~P106(f326(f326(f235(a1),f2(a1)),x94133))+~P106(f326(f326(f234(a1),x94131),x94132))+P106(f326(f326(f328(a1),f428(x94134,x94131,x94133,x94132)),f302(a1,f77(a1),x94133)))+P106(f326(f326(f234(a1),x94131),f326(f326(f3(a1),x94132),x94133)))+~P106(f326(f326(f328(a1),f326(f326(f3(a1),x94131),f77(a1))),x94134))
% 178.51/178.26 [9434]~P70(x94342)+~E(f778(x94343,x94344,x94341,x94342),f779(x94343,x94344,x94341,x94342))+E(f326(f326(f8(f922(x94341,a910),x94342),f326(f8(x94341,x94342),x94343)),x94344),f326(f326(f8(x94341,x94342),x94343),f37(f922(x94341,a910),x94344)))+P106(f326(f326(f328(f922(x94341,a910)),f777(x94343,x94344,x94341,x94342)),x94344))+~P106(f326(f61(f922(x94341,a910)),x94344))
% 178.51/178.26 [9441]~P70(x94412)+~E(f326(x94413,f781(x94413,x94414,x94411,x94412)),f2(x94412))+E(f326(f326(f8(f922(x94411,a910),x94412),f326(f8(x94411,x94412),x94413)),x94414),f326(f326(f8(x94411,x94412),x94413),f37(f922(x94411,a910),x94414)))+P106(f326(f326(f328(f922(x94411,a910)),f777(x94413,x94414,x94411,x94412)),x94414))+~P106(f326(f61(f922(x94411,a910)),x94414))
% 178.51/178.26 [9542]~P70(x95422)+~P106(f326(f61(x95421),f777(x95423,x95424,x95421,x95422)))+E(f326(f326(f8(f922(x95421,a910),x95422),f326(f8(x95421,x95422),x95423)),x95424),f326(f326(f8(x95421,x95422),x95423),f37(f922(x95421,a910),x95424)))+P106(f326(f326(f328(f922(x95421,a910)),f779(x95423,x95424,x95421,x95422)),x95424))+~P106(f326(f61(f922(x95421,a910)),x95424))
% 178.51/178.26 [9543]~P70(x95432)+~P106(f326(f61(x95431),f777(x95433,x95434,x95431,x95432)))+E(f326(f326(f8(f922(x95431,a910),x95432),f326(f8(x95431,x95432),x95433)),x95434),f326(f326(f8(x95431,x95432),x95433),f37(f922(x95431,a910),x95434)))+P106(f326(f326(f328(f922(x95431,a910)),f778(x95433,x95434,x95431,x95432)),x95434))+~P106(f326(f61(f922(x95431,a910)),x95434))
% 178.51/178.26 [9621]~P70(x96212)+E(f326(f326(f8(f922(x96211,a910),x96212),f326(f8(x96211,x96212),x96213)),x96214),f326(f326(f8(x96211,x96212),x96213),f37(f922(x96211,a910),x96214)))+P106(f326(f326(f328(f922(x96211,a910)),f777(x96213,x96214,x96211,x96212)),x96214))+P106(f326(f326(f328(f922(x96211,a910)),f779(x96213,x96214,x96211,x96212)),x96214))+~P106(f326(f61(f922(x96211,a910)),x96214))
% 178.51/178.26 [9622]~P70(x96222)+E(f326(f326(f8(f922(x96221,a910),x96222),f326(f8(x96221,x96222),x96223)),x96224),f326(f326(f8(x96221,x96222),x96223),f37(f922(x96221,a910),x96224)))+P106(f326(f326(f328(f922(x96221,a910)),f777(x96223,x96224,x96221,x96222)),x96224))+P106(f326(f326(f328(f922(x96221,a910)),f778(x96223,x96224,x96221,x96222)),x96224))+~P106(f326(f61(f922(x96221,a910)),x96224))
% 178.51/178.26 [9643]~P70(x96432)+P106(f326(f326(f328(x96431),f781(x96433,x96434,x96431,x96432)),f779(x96433,x96434,x96431,x96432)))+~P106(f326(f61(x96431),f777(x96433,x96434,x96431,x96432)))+E(f326(f326(f8(f922(x96431,a910),x96432),f326(f8(x96431,x96432),x96433)),x96434),f326(f326(f8(x96431,x96432),x96433),f37(f922(x96431,a910),x96434)))+~P106(f326(f61(f922(x96431,a910)),x96434))
% 178.51/178.26 [9644]~P70(x96442)+P106(f326(f326(f328(x96441),f781(x96443,x96444,x96441,x96442)),f778(x96443,x96444,x96441,x96442)))+~P106(f326(f61(x96441),f777(x96443,x96444,x96441,x96442)))+E(f326(f326(f8(f922(x96441,a910),x96442),f326(f8(x96441,x96442),x96443)),x96444),f326(f326(f8(x96441,x96442),x96443),f37(f922(x96441,a910),x96444)))+~P106(f326(f61(f922(x96441,a910)),x96444))
% 178.51/178.26 [9661]P106(f326(x96611,x96612))+~P106(f326(f326(f328(x96613),f522(x96611,x96614,x96612,x96613)),f533(x96611,x96614,x96612,x96613)))+~P106(f326(f61(x96613),x96612))+~P106(f326(x96611,f188(f922(x96613,a910))))+~P106(f326(f326(f234(f922(x96613,a910)),x96612),x96614))
% 178.51/178.26 [9699]~P70(x96992)+P106(f326(f326(f328(x96991),f781(x96993,x96994,x96991,x96992)),f779(x96993,x96994,x96991,x96992)))+E(f326(f326(f8(f922(x96991,a910),x96992),f326(f8(x96991,x96992),x96993)),x96994),f326(f326(f8(x96991,x96992),x96993),f37(f922(x96991,a910),x96994)))+P106(f326(f326(f328(f922(x96991,a910)),f777(x96993,x96994,x96991,x96992)),x96994))+~P106(f326(f61(f922(x96991,a910)),x96994))
% 178.51/178.26 [9700]~P70(x97002)+P106(f326(f326(f328(x97001),f781(x97003,x97004,x97001,x97002)),f778(x97003,x97004,x97001,x97002)))+E(f326(f326(f8(f922(x97001,a910),x97002),f326(f8(x97001,x97002),x97003)),x97004),f326(f326(f8(x97001,x97002),x97003),f37(f922(x97001,a910),x97004)))+P106(f326(f326(f328(f922(x97001,a910)),f777(x97003,x97004,x97001,x97002)),x97004))+~P106(f326(f61(f922(x97001,a910)),x97004))
% 178.51/178.26 [9875]P106(f326(x98751,x98752))+~P106(f326(f61(x98753),x98752))+~P106(f326(x98751,f326(f326(f308(x98753),f522(x98751,x98754,x98752,x98753)),f533(x98751,x98754,x98752,x98753))))+~P106(f326(x98751,f188(f922(x98753,a910))))+~P106(f326(f326(f234(f922(x98753,a910)),x98752),x98754))
% 178.51/178.26 [7912]~P65(x79121)+P106(f326(f326(f235(x79121),x79122),f2(x79121)))+~P106(f326(f326(f234(x79121),f2(x79121)),x79124))+P106(f326(f326(f235(x79121),f2(x79121)),x79122))+P106(f326(f326(f234(x79121),f326(f326(f289(x79121),x79123),x79122)),x79124))
% 178.51/178.26 [7913]~P65(x79131)+P106(f326(f326(f235(x79131),x79132),f2(x79131)))+P106(f326(f326(f235(x79131),f2(x79131)),x79132))+~P106(f326(f326(f235(x79131),f2(x79131)),x79134))+P106(f326(f326(f235(x79131),f326(f326(f289(x79131),x79133),x79132)),x79134))
% 178.51/178.26 [8189]~P106(f326(f326(f234(a1),x81894),f2(a1)))+~E(x81892,f326(f326(f79(a1),f326(f326(f80(a1),x81891),x81893)),x81894))+P106(f326(f326(f235(a1),f2(a1)),x81891))+~P106(f326(f326(f235(a1),x81891),x81894))+P106(f326(f49(x81892,x81891),f326(f326(f251(a1,a1),x81893),x81894)))
% 178.51/178.26 [8223]~P106(f326(x82231,x82234))+P106(f326(x82231,f345(x82232,x82231,x82233)))+~P106(f326(f326(f234(a1),f2(a1)),x82232))+~P106(f326(f326(f235(a1),f2(a1)),x82233))+P106(f326(x82231,f326(f326(f3(a1),x82234),f326(f326(f80(a1),x82232),x82233))))
% 178.51/178.26 [8224]~P106(f326(x82241,x82244))+P106(f326(x82241,f352(x82242,x82241,x82243)))+~P106(f326(f326(f234(a1),f2(a1)),x82242))+~P106(f326(f326(f235(a1),f2(a1)),x82243))+P106(f326(x82241,f326(f326(f79(a1),x82244),f326(f326(f80(a1),x82242),x82243))))
% 178.51/178.26 [8225]~P65(x82251)+P106(f326(f326(f235(x82251),x82252),f2(x82251)))+P106(f326(f326(f235(x82251),f2(x82251)),x82252))+P106(f326(f326(f234(x82251),f2(x82251)),x82253))+~P106(f326(f326(f234(x82251),f326(f326(f289(x82251),x82254),x82252)),x82253))
% 178.51/178.26 [8226]~P65(x82261)+P106(f326(f326(f235(x82261),x82262),f2(x82261)))+P106(f326(f326(f235(x82261),f2(x82261)),x82262))+P106(f326(f326(f235(x82261),f2(x82261)),x82263))+~P106(f326(f326(f235(x82261),f326(f326(f289(x82261),x82264),x82262)),x82263))
% 178.51/178.26 [8277]~E(x82771,f326(f326(f79(a1),f326(f326(f80(a1),x82772),x82773)),x82774))+~P106(f326(f326(f234(a1),f2(a1)),x82774))+~P106(f326(f326(f235(a1),f2(a1)),x82772))+~P106(f326(f326(f235(a1),x82774),x82772))+P106(f326(f49(x82771,x82772),f326(f326(f251(a1,a1),x82773),x82774)))
% 178.51/178.26 [8389]~P65(x83891)+P106(f326(f326(f235(x83891),x83892),f2(x83891)))+~P106(f326(f326(f234(x83891),f2(x83891)),x83894))+~P106(f326(f326(f234(x83891),x83893),f326(f326(f80(x83891),x83894),x83892)))+P106(f326(f326(f234(x83891),f326(f326(f289(x83891),x83893),x83892)),x83894))
% 178.51/178.26 [8390]~P65(x83901)+P106(f326(f326(f235(x83901),x83902),f2(x83901)))+~P106(f326(f326(f235(x83901),f2(x83901)),x83904))+~P106(f326(f326(f235(x83901),x83903),f326(f326(f80(x83901),x83904),x83902)))+P106(f326(f326(f235(x83901),f326(f326(f289(x83901),x83903),x83902)),x83904))
% 178.51/178.26 [8474]~P65(x84741)+P106(f326(f326(f235(x84741),x84742),f2(x84741)))+~P106(f326(f326(f234(x84741),x84743),f2(x84741)))+P106(f326(f326(f234(x84741),x84743),f326(f326(f289(x84741),x84744),x84742)))+~P106(f326(f326(f234(x84741),f326(f326(f80(x84741),x84743),x84742)),x84744))
% 178.51/178.26 [8475]~P65(x84751)+P106(f326(f326(f235(x84751),x84752),f2(x84751)))+~P106(f326(f326(f235(x84751),x84753),f2(x84751)))+P106(f326(f326(f235(x84751),x84753),f326(f326(f289(x84751),x84754),x84752)))+~P106(f326(f326(f235(x84751),f326(f326(f80(x84751),x84753),x84752)),x84754))
% 178.51/178.26 [8625]~P65(x86251)+~P106(f326(f326(f235(x86251),x86252),f2(x86251)))+P106(f326(f326(f235(x86251),f2(x86251)),x86252))+~P106(f326(f326(f234(x86251),f326(f326(f289(x86251),x86254),x86252)),x86253))+P106(f326(f326(f234(x86251),f326(f326(f80(x86251),x86253),x86252)),x86254))
% 178.51/178.26 [8626]~P65(x86261)+~P106(f326(f326(f235(x86261),x86262),f2(x86261)))+P106(f326(f326(f235(x86261),f2(x86261)),x86262))+~P106(f326(f326(f234(x86261),f326(f326(f80(x86261),x86264),x86262)),x86263))+P106(f326(f326(f234(x86261),f326(f326(f289(x86261),x86263),x86262)),x86264))
% 178.51/178.26 [8627]~P65(x86271)+~P106(f326(f326(f235(x86271),x86272),f2(x86271)))+P106(f326(f326(f235(x86271),f2(x86271)),x86272))+~P106(f326(f326(f235(x86271),f326(f326(f289(x86271),x86274),x86272)),x86273))+P106(f326(f326(f235(x86271),f326(f326(f80(x86271),x86273),x86272)),x86274))
% 178.51/178.26 [8628]~P65(x86281)+~P106(f326(f326(f235(x86281),x86282),f2(x86281)))+P106(f326(f326(f235(x86281),f2(x86281)),x86282))+~P106(f326(f326(f235(x86281),f326(f326(f80(x86281),x86284),x86282)),x86283))+P106(f326(f326(f235(x86281),f326(f326(f289(x86281),x86283),x86282)),x86284))
% 178.51/178.26 [8644]~P65(x86441)+~P106(f326(f326(f234(x86441),f2(x86441)),x86444))+P106(f326(f326(f235(x86441),f2(x86441)),x86442))+~P106(f326(f326(f234(x86441),f326(f326(f80(x86441),x86444),x86442)),x86443))+P106(f326(f326(f234(x86441),f326(f326(f289(x86441),x86443),x86442)),x86444))
% 178.51/178.26 [8645]~P65(x86451)+~P106(f326(f326(f235(x86451),f2(x86451)),x86454))+P106(f326(f326(f235(x86451),f2(x86451)),x86452))+~P106(f326(f326(f235(x86451),f326(f326(f80(x86451),x86454),x86452)),x86453))+P106(f326(f326(f235(x86451),f326(f326(f289(x86451),x86453),x86452)),x86454))
% 178.51/178.26 [8720]~P65(x87201)+~P106(f326(f326(f235(x87201),x87204),f2(x87201)))+~P106(f326(f326(f234(x87201),x87203),f326(f326(f80(x87201),x87202),x87204)))+P106(f326(f326(f234(x87201),x87202),f326(f326(f289(x87201),x87203),x87204)))+~P106(f326(f326(f234(x87201),f326(f326(f80(x87201),x87202),x87204)),x87203))
% 178.51/178.26 [8721]~P65(x87211)+~P106(f326(f326(f234(x87211),x87212),f2(x87211)))+~P106(f326(f326(f234(x87211),x87213),f326(f326(f80(x87211),x87212),x87214)))+P106(f326(f326(f234(x87211),x87212),f326(f326(f289(x87211),x87213),x87214)))+~P106(f326(f326(f234(x87211),f326(f326(f80(x87211),x87212),x87214)),x87213))
% 178.51/178.26 [8722]~P65(x87221)+~P106(f326(f326(f235(x87221),x87224),f2(x87221)))+~P106(f326(f326(f235(x87221),x87223),f326(f326(f80(x87221),x87222),x87224)))+P106(f326(f326(f235(x87221),x87222),f326(f326(f289(x87221),x87223),x87224)))+~P106(f326(f326(f235(x87221),f326(f326(f80(x87221),x87222),x87224)),x87223))
% 178.51/178.26 [8723]~P65(x87231)+~P106(f326(f326(f235(x87231),x87232),f2(x87231)))+~P106(f326(f326(f235(x87231),x87233),f326(f326(f80(x87231),x87232),x87234)))+P106(f326(f326(f235(x87231),x87232),f326(f326(f289(x87231),x87233),x87234)))+~P106(f326(f326(f235(x87231),f326(f326(f80(x87231),x87232),x87234)),x87233))
% 178.51/178.26 [8845]~P65(x88451)+~P106(f326(f326(f235(x88451),x88453),f2(x88451)))+~P106(f326(f326(f234(x88451),x88452),f326(f326(f80(x88451),x88454),x88453)))+~P106(f326(f326(f234(x88451),f326(f326(f80(x88451),x88454),x88453)),x88452))+P106(f326(f326(f234(x88451),f326(f326(f289(x88451),x88452),x88453)),x88454))
% 178.51/178.26 [8846]~P65(x88461)+~P106(f326(f326(f235(x88461),x88463),f2(x88461)))+~P106(f326(f326(f235(x88461),x88462),f326(f326(f80(x88461),x88464),x88463)))+~P106(f326(f326(f235(x88461),f326(f326(f80(x88461),x88464),x88463)),x88462))+P106(f326(f326(f235(x88461),f326(f326(f289(x88461),x88462),x88463)),x88464))
% 178.51/178.26 [8863]~P65(x88631)+~P106(f326(f326(f234(x88631),f2(x88631)),x88634))+~P106(f326(f326(f234(x88631),x88632),f326(f326(f80(x88631),x88634),x88633)))+~P106(f326(f326(f234(x88631),f326(f326(f80(x88631),x88634),x88633)),x88632))+P106(f326(f326(f234(x88631),f326(f326(f289(x88631),x88632),x88633)),x88634))
% 178.51/178.26 [8864]~P65(x88641)+~P106(f326(f326(f235(x88641),f2(x88641)),x88644))+~P106(f326(f326(f235(x88641),x88642),f326(f326(f80(x88641),x88644),x88643)))+~P106(f326(f326(f235(x88641),f326(f326(f80(x88641),x88644),x88643)),x88642))+P106(f326(f326(f235(x88641),f326(f326(f289(x88641),x88642),x88643)),x88644))
% 178.51/178.26 [9047]E(f326(f326(f3(a1),f450(x90471,x90472,x90473,x90474)),f451(x90471,x90472,x90473,x90474)),x90474)+~P106(f326(f326(f235(a1),f2(a1)),x90473))+~P106(f326(f326(f328(a1),x90472),x90471))+~P106(f326(f326(f235(a1),x90474),x90472))+P106(f326(f326(f235(a1),f326(f326(f79(a1),x90474),x90473)),x90472))
% 178.51/178.26 [9118]~P106(f326(x91181,x91182))+~P106(f326(f326(f234(a1),f2(a1)),x91183))+~P106(f326(f326(f235(a1),f2(a1)),x91184))+~P106(f326(x91181,f326(f326(f3(a1),f345(x91183,x91181,x91184)),x91184)))+P106(f326(x91181,f326(f326(f3(a1),x91182),f326(f326(f80(a1),x91183),x91184))))
% 178.51/178.26 [9119]~P106(f326(x91191,x91192))+~P106(f326(f326(f234(a1),f2(a1)),x91193))+~P106(f326(f326(f235(a1),f2(a1)),x91194))+~P106(f326(x91191,f326(f326(f79(a1),f352(x91193,x91191,x91194)),x91194)))+P106(f326(x91191,f326(f326(f79(a1),x91192),f326(f326(f80(a1),x91193),x91194))))
% 178.51/178.26 [9269]~P106(f326(f326(f235(a1),f2(a1)),x92693))+~P106(f326(f326(f328(a1),x92692),x92691))+~P106(f326(f326(f235(a1),x92694),x92692))+P106(f326(f326(f328(a1),f450(x92691,x92692,x92693,x92694)),x92691))+P106(f326(f326(f235(a1),f326(f326(f79(a1),x92694),x92693)),x92692))
% 178.51/178.26 [9288]E(f326(f326(f3(a1),f431(x92881,x92882,x92883,x92884)),f432(x92881,x92882,x92883,x92884)),x92884)+~P106(f326(f326(f235(a1),f2(a1)),x92883))+~P106(f326(f326(f234(a1),x92884),x92882))+~P106(f326(f326(f328(a1),f326(f326(f79(a1),x92882),f77(a1))),x92881))+P106(f326(f326(f234(a1),f326(f326(f79(a1),x92884),x92883)),x92882))
% 178.51/178.26 [9316]~P106(f326(f326(f235(a1),f2(a1)),x93162))+~P106(f326(f326(f328(a1),x93163),x93164))+~P106(f326(f326(f235(a1),x93161),x93163))+P106(f326(f326(f328(a1),f451(x93164,x93163,x93162,x93161)),f302(a1,f77(a1),x93162)))+P106(f326(f326(f235(a1),f326(f326(f79(a1),x93161),x93162)),x93163))
% 178.51/178.26 [9405]~P106(f326(f326(f235(a1),f2(a1)),x94053))+~P106(f326(f326(f234(a1),x94054),x94052))+P106(f326(f326(f328(a1),f431(x94051,x94052,x94053,x94054)),x94051))+~P106(f326(f326(f328(a1),f326(f326(f79(a1),x94052),f77(a1))),x94051))+P106(f326(f326(f234(a1),f326(f326(f79(a1),x94054),x94053)),x94052))
% 178.51/178.26 [9452]~P106(f326(f326(f235(a1),f2(a1)),x94522))+~P106(f326(f326(f234(a1),x94521),x94523))+P106(f326(f326(f328(a1),f432(x94524,x94523,x94522,x94521)),f302(a1,f77(a1),x94522)))+~P106(f326(f326(f328(a1),f326(f326(f79(a1),x94523),f77(a1))),x94524))+P106(f326(f326(f234(a1),f326(f326(f79(a1),x94521),x94522)),x94523))
% 178.51/178.26 [9753]~P37(x97531,x97533)+~P26(x97531,x97534)+P37(x97531,f326(f326(f110(f922(f921(x97531,x97531),a910)),x97532),x97533))+~P106(f326(f326(f234(f922(f921(x97531,x97531),a910)),x97532),f326(f250(f922(f921(x97531,x97531),a910),f922(f921(x97531,x97531),a910)),x97534)))+~P106(f326(f326(f234(f922(f921(x97531,x97531),a910)),x97533),f326(f255(f922(f921(x97531,x97531),a910),f922(f921(x97531,x97531),a910)),x97534)))
% 178.51/178.26 [10132]~P17(x101322,x101324,x101323)+E(x101321,f188(f922(x101322,a910)))+~P106(f326(f61(x101322),x101321))+P106(f326(f326(f328(x101322),f326(x101323,x101321)),x101321))+~P106(f326(f326(f328(x101322),f326(f326(x101324,f478(x101321,x101323,x101324,x101322)),f486(x101321,x101323,x101324,x101322))),f326(f326(f308(x101322),f478(x101321,x101323,x101324,x101322)),f326(f326(f308(x101322),f486(x101321,x101323,x101324,x101322)),f188(f922(x101322,a910))))))
% 178.51/178.26 [10066]~P110(x100662)+~P62(x100661)+~P106(f326(f326(f234(f922(x100661,x100662)),x100663),x100664))+P106(f326(f326(f235(f922(x100661,x100662)),x100663),x100664))+~P106(f326(f56(x100661),f326(f326(f10(a910,a910,x100661),a321),f326(f326(f20(x100661,x100662,a910),f326(f326(f10(x100662,f922(x100662,a910),x100661),a323),x100663)),x100664))))
% 178.51/178.26 [9667]~P54(x96671,x96671,x96674)+P106(f326(f326(f328(f921(x96671,x96671)),f326(f326(f251(x96671,x96671),x96672),x96673)),f306(x96671,x96674)))+P106(f326(f326(f328(f921(x96671,x96671)),f326(f326(f251(x96671,x96671),x96673),x96672)),f306(x96671,x96674)))+~P106(f326(f326(f328(f921(x96671,x96671)),f326(f326(f251(x96671,x96671),x96675),x96672)),f306(x96671,x96674)))+~P106(f326(f326(f328(f921(x96671,x96671)),f326(f326(f251(x96671,x96671),x96675),x96673)),f306(x96671,x96674)))
% 178.51/178.26 [5806]E(x58061,f2(a914))+~E(f326(f35(x58062),x58065),x58061)+E(f326(f35(x58062),x58063),f326(a112,x58061))+~E(x58063,f326(f326(f308(x58062),x58064),x58065))+P106(f326(f326(f328(x58062),x58064),x58065))
% 178.51/178.26 [5928]~P64(x59282)+E(x59281,f2(x59282))+E(x59283,f2(x59282))+~E(f326(f326(f289(x59282),x59284),x59283),f326(f326(f289(x59282),x59285),x59281))+E(f326(f326(f80(x59282),x59284),x59281),f326(f326(f80(x59282),x59285),x59283))
% 178.51/178.26 [5929]~P64(x59292)+E(x59291,f2(x59292))+E(x59293,f2(x59292))+~E(f326(f326(f80(x59292),x59294),x59293),f326(f326(f80(x59292),x59295),x59291))+E(f326(f326(f289(x59292),x59294),x59291),f326(f326(f289(x59292),x59295),x59293))
% 178.51/178.26 [6007]~E(f326(f35(x60071),x60075),x60073)+~E(x60075,f188(f922(x60071,a910)))+E(f326(f35(x60071),x60072),f326(a112,x60073))+~E(x60072,f326(f326(f308(x60071),x60074),x60075))+P106(f326(f326(f328(x60071),x60074),x60075))
% 178.51/178.26 [6239]~P113(x62392)+~E(f326(x62393,x62395),f2(x62392))+E(f326(f326(f11(x62391,x62392),x62393),x62394),f2(x62392))+~P106(f326(f61(x62391),x62394))+~P106(f326(f326(f328(x62391),x62395),x62394))
% 178.51/178.26 [6618]~P109(x66183)+E(x66181,x66182)+~E(f326(f301(x66183,x66184),x66181),f326(f301(x66183,x66185),x66182))+~P106(f326(f326(f235(x66183),x66185),x66182))+~P106(f326(f326(f235(x66183),x66184),x66181))
% 178.51/178.26 [6619]~P109(x66193)+E(x66191,x66192)+~E(f326(f301(x66193,x66191),x66194),f326(f301(x66193,x66192),x66195))+~P106(f326(f326(f235(x66193),x66192),x66195))+~P106(f326(f326(f235(x66193),x66191),x66194))
% 178.51/178.26 [7681]~P109(x76811)+~P12(x76811,f326(f326(f134(x76811),x76814),x76815))+~P106(f326(f326(f328(x76811),x76813),f326(f172(x76811),x76815)))+~P106(f326(f326(f328(x76811),x76812),f326(f172(x76811),x76814)))+P106(f326(f326(f234(x76811),x76812),x76813))
% 178.51/178.26 [8757]~P110(x87571)+~P106(f326(f326(f235(f922(x87571,a910)),f302(x87571,x87575,x87572)),f302(x87571,x87574,x87573)))+~P106(f326(f326(f234(x87571),x87575),x87572))+P106(f326(f326(f235(x87571),x87572),x87573))+P106(f326(f326(f235(x87571),x87574),x87575))
% 178.51/178.26 [10175]~P16(x101752,x101755,x101753)+E(x101751,f188(f922(x101752,a910)))+~E(f326(f326(x101755,f326(x101754,f535(x101751,x101754,x101753,x101755,x101752))),f326(x101754,f536(x101751,x101754,x101753,x101755,x101752))),f326(x101754,f326(f326(x101755,f535(x101751,x101754,x101753,x101755,x101752)),f536(x101751,x101754,x101753,x101755,x101752))))+E(f326(x101753,f326(f309(x101752,x101752,x101754),x101751)),f326(x101754,f326(x101753,x101751)))+~P106(f326(f61(x101752),x101751))
% 178.51/178.26 [6615]~P17(x66152,x66155,x66153)+E(x66151,f188(f922(x66152,a910)))+~P106(f326(f61(x66152),x66151))+E(f326(x66153,f326(f326(f308(x66152),x66154),x66151)),f326(f326(x66155,x66154),f326(x66153,x66151)))+P106(f326(f326(f328(x66152),x66154),x66151))
% 178.51/178.26 [7444]~P16(x74442,x74443,x74444)+E(f326(f326(x74443,f326(x74444,x74441)),f326(x74444,x74445)),f326(x74444,x74445))+E(x74441,f188(f922(x74442,a910)))+~P106(f326(f61(x74442),x74445))+~P106(f326(f326(f234(f922(x74442,a910)),x74441),x74445))
% 178.51/178.26 [7813]~P17(x78134,x78135,x78131)+E(f326(x78131,x78132),x78133)+~P106(f326(f61(x78134),x78132))+~E(f326(f326(f3(f922(x78134,a910)),x78132),f326(f326(f308(x78134),x78133),f188(f922(x78134,a910)))),f188(f922(x78134,a910)))+~P106(f326(f326(f328(x78134),x78133),x78132))
% 178.51/178.26 [8727]E(x87271,x87272)+~P7(x87273,x87274,x87275)+E(f326(f326(f101(f922(x87273,a910)),x87271),x87272),f188(f922(x87273,a910)))+~P106(f326(f326(f328(f922(x87273,a910)),x87272),f326(f326(f60(x87273),x87274),x87275)))+~P106(f326(f326(f328(f922(x87273,a910)),x87271),f326(f326(f60(x87273),x87274),x87275)))
% 178.51/178.26 [9535]~P70(x95352)+~E(f326(x95353,f893(x95353,x95354,x95355,x95351,x95352)),f2(x95352))+E(f326(f326(f8(x95351,x95352),x95353),x95354),f326(f326(f8(x95351,x95352),x95353),x95355))+~P106(f326(f61(x95351),x95355))+~P106(f326(f326(f234(f922(x95351,a910)),x95354),x95355))
% 178.51/178.26 [9536]~P70(x95362)+~E(f326(x95363,f894(x95363,x95364,x95365,x95361,x95362)),f2(x95362))+E(f326(f326(f8(x95361,x95362),x95363),x95364),f326(f326(f8(x95361,x95362),x95363),x95365))+~P106(f326(f61(x95361),x95365))+~P106(f326(f326(f234(f922(x95361,a910)),x95364),x95365))
% 178.51/178.26 [9537]~P75(x95372)+~E(f326(x95373,f850(x95373,x95374,x95375,x95371,x95372)),f77(x95372))+E(f326(f326(f11(x95371,x95372),x95373),x95374),f326(f326(f11(x95371,x95372),x95373),x95375))+~P106(f326(f61(x95371),x95375))+~P106(f326(f326(f234(f922(x95371,a910)),x95374),x95375))
% 178.51/178.26 [9538]~P75(x95382)+~E(f326(x95383,f864(x95383,x95384,x95385,x95381,x95382)),f77(x95382))+E(f326(f326(f11(x95381,x95382),x95383),x95384),f326(f326(f11(x95381,x95382),x95383),x95385))+~P106(f326(f61(x95381),x95385))+~P106(f326(f326(f234(f922(x95381,a910)),x95384),x95385))
% 178.51/178.26 [10019]~P89(x100191)+~P106(f326(f61(x100192),x100195))+~P106(f326(f326(f234(x100191),f2(x100191)),f326(x100193,f885(x100193,x100194,x100195,x100192,x100191))))+P106(f326(f326(f234(x100191),f326(f326(f8(x100192,x100191),x100193),x100194)),f326(f326(f8(x100192,x100191),x100193),x100195)))+~P106(f326(f326(f234(f922(x100192,a910)),x100194),x100195))
% 178.51/178.26 [7678]E(x76781,f2(a914))+P106(f326(x76782,x76783))+~E(x76784,f326(f326(f79(a914),f326(f326(f80(a914),x76781),x76783)),x76785))+~P106(f326(f326(f235(a914),x76785),x76781))+~P106(f326(x76782,f326(f326(f36(a914),x76784),x76781)))
% 178.51/178.26 [7753]E(x77531,f2(a914))+P106(f326(x77532,x77533))+~P106(f326(x77532,f45(a914,x77534,x77531)))+~E(x77534,f326(f326(f79(a914),f326(f326(f80(a914),x77531),x77535)),x77533))+~P106(f326(f326(f235(a914),x77533),x77531))
% 178.51/178.26 [8040]~P64(x80403)+E(f326(x80401,x80402),f2(x80403))+~P106(f326(f61(x80404),x80405))+E(f326(f326(f11(x80404,x80403),x80401),f326(f326(f3(f922(x80404,a910)),x80405),f326(f326(f308(x80404),x80402),f188(f922(x80404,a910))))),f326(f326(f11(x80404,x80403),x80401),x80405))+P106(f326(f326(f328(x80404),x80402),x80405))
% 178.51/178.26 [8429]~P70(x84291)+~P106(f326(f61(x84292),x84295))+~P106(f326(f61(x84292),x84294))+~E(f326(f326(f101(f922(x84292,a910)),x84294),x84295),f188(f922(x84292,a910)))+E(f326(f326(f79(x84291),f326(f326(f8(x84292,x84291),x84293),x84294)),f326(f326(f8(x84292,x84291),x84293),x84295)),f326(f326(f8(x84292,x84291),x84293),f326(f326(f110(f922(x84292,a910)),x84294),x84295)))
% 178.51/178.26 [8431]~P75(x84311)+~P106(f326(f61(x84312),x84315))+~P106(f326(f61(x84312),x84314))+~E(f326(f326(f101(f922(x84312,a910)),x84314),x84315),f188(f922(x84312,a910)))+E(f326(f326(f80(x84311),f326(f326(f11(x84312,x84311),x84313),x84314)),f326(f326(f11(x84312,x84311),x84313),x84315)),f326(f326(f11(x84312,x84311),x84313),f326(f326(f110(f922(x84312,a910)),x84314),x84315)))
% 178.51/178.26 [8530]~P64(x85303)+E(f326(x85301,x85302),f2(x85303))+~P106(f326(f61(x85304),x85305))+E(f326(f326(f11(x85304,x85303),x85301),f326(f326(f3(f922(x85304,a910)),x85305),f326(f326(f308(x85304),x85302),f188(f922(x85304,a910))))),f326(f326(f289(x85303),f326(f326(f11(x85304,x85303),x85301),x85305)),f326(x85301,x85302)))+~P106(f326(f326(f328(x85304),x85302),x85305))
% 178.51/178.26 [9246]~P7(x92461,x92465,x92464)+~E(f326(f326(f60(x92461),f326(f326(f308(x92461),x92462),f188(f922(x92461,a910)))),x92464),f326(f326(f60(x92461),f326(f326(f308(x92461),x92463),f188(f922(x92461,a910)))),x92464))+~P106(f326(f326(f328(x92461),x92463),x92465))+~P106(f326(f326(f328(x92461),x92462),x92465))+P106(f326(f326(f328(f921(x92461,x92461)),f326(f326(f251(x92461,x92461),x92462),x92463)),x92464))
% 178.51/178.26 [9268]~P7(x92681,x92685,x92683)+E(f326(f326(f60(x92681),f326(f326(f308(x92681),x92682),f188(f922(x92681,a910)))),x92683),f326(f326(f60(x92681),f326(f326(f308(x92681),x92684),f188(f922(x92681,a910)))),x92683))+~P106(f326(f326(f328(x92681),x92684),x92685))+~P106(f326(f326(f328(x92681),x92682),x92685))+~P106(f326(f326(f328(f921(x92681,x92681)),f326(f326(f251(x92681,x92681),x92682),x92684)),x92683))
% 178.51/178.26 [9564]~P75(x95641)+~P106(f326(f61(x95642),x95645))+~P106(f326(f61(x95642),x95644))+~E(f326(f326(f101(f922(x95642,a910)),x95644),x95645),f188(f922(x95642,a910)))+E(f326(f326(f80(x95641),f326(f326(f326(f65(x95641,x95642,f80(x95641)),x95643),f77(x95641)),x95644)),f326(f326(f326(f65(x95641,x95642,f80(x95641)),x95643),f77(x95641)),x95645)),f326(f326(f326(f65(x95641,x95642,f80(x95641)),x95643),f77(x95641)),f326(f326(f110(f922(x95642,a910)),x95644),x95645)))
% 178.51/178.26 [9573]~P70(x95731)+~E(f326(x95733,f886(x95733,x95735,x95734,x95732,x95731)),f2(x95731))+~P106(f326(f61(x95732),x95734))+~P106(f326(f61(x95732),x95735))+E(f326(f326(f79(x95731),f326(f326(f8(x95732,x95731),x95733),x95734)),f326(f326(f8(x95732,x95731),x95733),x95735)),f326(f326(f8(x95732,x95731),x95733),f326(f326(f110(f922(x95732,a910)),x95734),x95735)))
% 178.51/178.26 [9574]~P70(x95741)+~E(f326(x95743,f887(x95743,x95745,x95744,x95742,x95741)),f2(x95741))+~P106(f326(f61(x95742),x95744))+~P106(f326(f61(x95742),x95745))+E(f326(f326(f79(x95741),f326(f326(f8(x95742,x95741),x95743),x95744)),f326(f326(f8(x95742,x95741),x95743),x95745)),f326(f326(f8(x95742,x95741),x95743),f326(f326(f110(f922(x95742,a910)),x95744),x95745)))
% 178.51/178.26 [9575]~P75(x95751)+~E(f326(x95753,f834(x95753,x95755,x95754,x95752,x95751)),f77(x95751))+~P106(f326(f61(x95752),x95754))+~P106(f326(f61(x95752),x95755))+E(f326(f326(f80(x95751),f326(f326(f11(x95752,x95751),x95753),x95754)),f326(f326(f11(x95752,x95751),x95753),x95755)),f326(f326(f11(x95752,x95751),x95753),f326(f326(f110(f922(x95752,a910)),x95754),x95755)))
% 178.51/178.26 [9576]~P75(x95761)+~E(f326(x95763,f835(x95763,x95765,x95764,x95762,x95761)),f77(x95761))+~P106(f326(f61(x95762),x95764))+~P106(f326(f61(x95762),x95765))+E(f326(f326(f80(x95761),f326(f326(f11(x95762,x95761),x95763),x95764)),f326(f326(f11(x95762,x95761),x95763),x95765)),f326(f326(f11(x95762,x95761),x95763),f326(f326(f110(f922(x95762,a910)),x95764),x95765)))
% 178.51/178.26 [9796]~P75(x97961)+~E(f326(x97963,f869(x97963,x97965,x97964,x97962,x97961)),f77(x97961))+~P106(f326(f61(x97962),x97964))+~P106(f326(f61(x97962),x97965))+E(f326(f326(f80(x97961),f326(f326(f326(f65(x97961,x97962,f80(x97961)),x97963),f77(x97961)),x97964)),f326(f326(f326(f65(x97961,x97962,f80(x97961)),x97963),f77(x97961)),x97965)),f326(f326(f326(f65(x97961,x97962,f80(x97961)),x97963),f77(x97961)),f326(f326(f110(f922(x97962,a910)),x97964),x97965)))
% 178.51/178.26 [9906]~P70(x99062)+E(f326(f326(f8(x99061,x99062),x99063),x99064),f326(f326(f8(x99061,x99062),x99063),x99065))+~P106(f326(f61(x99061),x99065))+~P106(f326(f326(f234(f922(x99061,a910)),x99064),x99065))+P106(f326(f326(f328(x99061),f893(x99063,x99064,x99065,x99061,x99062)),f326(f326(f3(f922(x99061,a910)),x99065),x99064)))
% 178.51/178.26 [9907]~P70(x99072)+E(f326(f326(f8(x99071,x99072),x99073),x99074),f326(f326(f8(x99071,x99072),x99073),x99075))+~P106(f326(f61(x99071),x99075))+~P106(f326(f326(f234(f922(x99071,a910)),x99074),x99075))+P106(f326(f326(f328(x99071),f894(x99073,x99074,x99075,x99071,x99072)),f326(f326(f3(f922(x99071,a910)),x99075),x99074)))
% 178.51/178.26 [9908]~P75(x99082)+E(f326(f326(f11(x99081,x99082),x99083),x99084),f326(f326(f11(x99081,x99082),x99083),x99085))+~P106(f326(f61(x99081),x99085))+~P106(f326(f326(f234(f922(x99081,a910)),x99084),x99085))+P106(f326(f326(f328(x99081),f850(x99083,x99084,x99085,x99081,x99082)),f326(f326(f3(f922(x99081,a910)),x99085),x99084)))
% 178.51/178.26 [9909]~P75(x99092)+E(f326(f326(f11(x99091,x99092),x99093),x99094),f326(f326(f11(x99091,x99092),x99093),x99095))+~P106(f326(f61(x99091),x99095))+~P106(f326(f326(f234(f922(x99091,a910)),x99094),x99095))+P106(f326(f326(f328(x99091),f864(x99093,x99094,x99095,x99091,x99092)),f326(f326(f3(f922(x99091,a910)),x99095),x99094)))
% 178.51/178.26 [9927]~P70(x99271)+~P106(f326(f61(x99272),x99274))+~P106(f326(f61(x99272),x99275))+E(f326(f326(f79(x99271),f326(f326(f8(x99272,x99271),x99273),x99274)),f326(f326(f8(x99272,x99271),x99273),x99275)),f326(f326(f8(x99272,x99271),x99273),f326(f326(f110(f922(x99272,a910)),x99274),x99275)))+P106(f326(f326(f328(x99272),f886(x99273,x99275,x99274,x99272,x99271)),f326(f326(f101(f922(x99272,a910)),x99274),x99275)))
% 178.51/178.26 [9928]~P70(x99281)+~P106(f326(f61(x99282),x99284))+~P106(f326(f61(x99282),x99285))+E(f326(f326(f79(x99281),f326(f326(f8(x99282,x99281),x99283),x99284)),f326(f326(f8(x99282,x99281),x99283),x99285)),f326(f326(f8(x99282,x99281),x99283),f326(f326(f110(f922(x99282,a910)),x99284),x99285)))+P106(f326(f326(f328(x99282),f887(x99283,x99285,x99284,x99282,x99281)),f326(f326(f101(f922(x99282,a910)),x99284),x99285)))
% 178.51/178.26 [9929]~P75(x99291)+~P106(f326(f61(x99292),x99294))+~P106(f326(f61(x99292),x99295))+E(f326(f326(f80(x99291),f326(f326(f11(x99292,x99291),x99293),x99294)),f326(f326(f11(x99292,x99291),x99293),x99295)),f326(f326(f11(x99292,x99291),x99293),f326(f326(f110(f922(x99292,a910)),x99294),x99295)))+P106(f326(f326(f328(x99292),f834(x99293,x99295,x99294,x99292,x99291)),f326(f326(f101(f922(x99292,a910)),x99294),x99295)))
% 178.51/178.26 [9930]~P75(x99301)+~P106(f326(f61(x99302),x99304))+~P106(f326(f61(x99302),x99305))+E(f326(f326(f80(x99301),f326(f326(f11(x99302,x99301),x99303),x99304)),f326(f326(f11(x99302,x99301),x99303),x99305)),f326(f326(f11(x99302,x99301),x99303),f326(f326(f110(f922(x99302,a910)),x99304),x99305)))+P106(f326(f326(f328(x99302),f835(x99303,x99305,x99304,x99302,x99301)),f326(f326(f101(f922(x99302,a910)),x99304),x99305)))
% 178.51/178.26 [9936]~P89(x99365)+~P106(f326(f61(x99361),x99364))+P106(f326(f326(f234(x99365),f326(f326(f8(x99361,x99365),x99362),x99363)),f326(f326(f8(x99361,x99365),x99362),x99364)))+~P106(f326(f326(f234(f922(x99361,a910)),x99363),x99364))+P106(f326(f326(f328(x99361),f885(x99362,x99363,x99364,x99361,x99365)),f326(f326(f3(f922(x99361,a910)),x99364),x99363)))
% 178.51/178.26 [9980]~P75(x99801)+~P106(f326(f61(x99802),x99804))+~P106(f326(f61(x99802),x99805))+E(f326(f326(f80(x99801),f326(f326(f326(f65(x99801,x99802,f80(x99801)),x99803),f77(x99801)),x99804)),f326(f326(f326(f65(x99801,x99802,f80(x99801)),x99803),f77(x99801)),x99805)),f326(f326(f326(f65(x99801,x99802,f80(x99801)),x99803),f77(x99801)),f326(f326(f110(f922(x99802,a910)),x99804),x99805)))+P106(f326(f326(f328(x99802),f869(x99803,x99805,x99804,x99802,x99801)),f326(f326(f101(f922(x99802,a910)),x99804),x99805)))
% 178.51/178.26 [8936]~P17(x89361,x89364,x89365)+~P106(f326(f61(x89361),x89362))+E(f326(f326(f3(f922(x89361,a910)),x89362),f326(f326(f308(x89361),x89363),f188(f922(x89361,a910)))),f188(f922(x89361,a910)))+~P106(f326(f326(f328(x89361),x89363),x89362))+E(f326(f326(x89364,x89363),f326(x89365,f326(f326(f3(f922(x89361,a910)),x89362),f326(f326(f308(x89361),x89363),f188(f922(x89361,a910)))))),f326(x89365,x89362))
% 178.51/178.26 [9014]~P17(x90141,x90144,x90145)+~P106(f326(f61(x90141),x90143))+~P106(f326(f61(x90141),x90142))+E(f326(f326(f101(f922(x90141,a910)),x90142),x90143),f188(f922(x90141,a910)))+E(f326(f326(x90144,f326(x90145,f326(f326(f110(f922(x90141,a910)),x90142),x90143))),f326(x90145,f326(f326(f101(f922(x90141,a910)),x90142),x90143))),f326(f326(x90144,f326(x90145,x90142)),f326(x90145,x90143)))
% 178.51/178.26 [9578]~P106(f326(f326(f234(a1),x95784),f2(a1)))+~P106(f326(f326(f235(a1),x95783),x95785))+P106(f326(f326(f234(a1),x95781),x95782))+~P106(f326(f326(f235(a1),x95783),x95784))+~P106(f326(f326(f234(a1),f326(f326(f79(a1),f326(f326(f80(a1),x95783),x95782)),x95785)),f326(f326(f79(a1),f326(f326(f80(a1),x95783),x95781)),x95784)))
% 178.51/178.26 [9580]~P106(f326(f326(f234(a1),f2(a1)),x95805))+P106(f326(f326(f234(a1),x95801),x95802))+~P106(f326(f326(f235(a1),x95803),x95804))+~P106(f326(f326(f235(a1),x95805),x95804))+~P106(f326(f326(f234(a1),f326(f326(f79(a1),f326(f326(f80(a1),x95804),x95801)),x95805)),f326(f326(f79(a1),f326(f326(f80(a1),x95804),x95802)),x95803)))
% 178.51/178.26 [9705]~P64(x97055)+E(f326(x97051,f895(x97051,x97052,x97053,x97054,x97055)),f2(x97055))+~P106(f326(f61(x97054),x97053))+~P106(f326(f61(x97054),x97052))+E(f326(f326(f289(x97055),f326(f326(f80(x97055),f326(f326(f11(x97054,x97055),x97051),x97053)),f326(f326(f11(x97054,x97055),x97051),x97052))),f326(f326(f11(x97054,x97055),x97051),f326(f326(f101(f922(x97054,a910)),x97053),x97052))),f326(f326(f11(x97054,x97055),x97051),f326(f326(f110(f922(x97054,a910)),x97053),x97052)))
% 178.51/178.26 [9972]~P64(x99721)+~P106(f326(f61(x99722),x99724))+~P106(f326(f61(x99722),x99725))+E(f326(f326(f289(x99721),f326(f326(f80(x99721),f326(f326(f11(x99722,x99721),x99723),x99724)),f326(f326(f11(x99722,x99721),x99723),x99725))),f326(f326(f11(x99722,x99721),x99723),f326(f326(f101(f922(x99722,a910)),x99724),x99725))),f326(f326(f11(x99722,x99721),x99723),f326(f326(f110(f922(x99722,a910)),x99724),x99725)))+P106(f326(f326(f328(x99722),f895(x99723,x99725,x99724,x99722,x99721)),f326(f326(f101(f922(x99722,a910)),x99724),x99725)))
% 178.51/178.26 [9287]E(f326(f326(f134(x92871),x92872),x92873),f326(f326(f134(x92871),x92874),x92875))+~E(f326(f326(f175(x92871),f326(f189(f915(x92871)),x92874)),x92872),x92874)+~E(f326(f326(f175(x92871),f326(f189(f915(x92871)),x92872)),x92874),x92872)+~E(x92875,f326(f326(f134(x92871),f326(f326(f138(x92871),f326(f189(f915(x92871)),x92874)),x92872)),x92873))+~E(f326(f326(f134(x92871),f326(f326(f138(x92871),f326(f189(f915(x92871)),x92872)),x92874)),x92875),x92873)
% 178.51/178.26 [9703]~P109(x97032)+E(f326(f326(f148(x97031,x97032,x97033),x97034),f170(x97031,x97034,x97035)),x97035)+~P12(x97032,f326(f326(f154(x97031,x97032),x97033),x97035))+~P106(f326(f326(f328(x97031),x97034),f326(f172(x97031),x97035)))+~E(f326(f141(x97031),f326(f136(x97031,f326(f326(f10(x97032,a910,x97031),f326(a323,f326(x97033,x97034))),x97033)),x97035)),x97034)
% 178.51/178.26 [10037]~P68(x100371)+~P106(f326(f66(x100371,x100371,f80(x100371),x100372,x100373),x100375))+~P106(f326(f326(f328(x100371),x100374),x100373))+P106(f326(f326(f328(x100371),x100372),x100373))+P106(f326(f66(x100371,x100371,f80(x100371),x100374,f326(f326(f308(x100371),x100372),f326(f326(f3(f922(x100371,a910)),x100373),f326(f326(f308(x100371),x100374),f188(f922(x100371,a910)))))),x100375))
% 178.51/178.26 [7452]E(x74521,x74522)+~P24(x74524,x74525,x74523,x74526)+~E(f326(x74523,x74521),f326(x74523,x74522))+~P106(f326(f326(f328(x74524),x74522),x74526))+~P106(f326(f326(f328(x74524),x74521),x74526))
% 178.51/178.26 [6708]~P138(x67084)+E(x67081,x67082)+~E(x67085,x67086)+E(x67083,f2(x67084))+~E(f326(f326(f79(x67084),x67085),f326(f326(f80(x67084),x67083),x67081)),f326(f326(f79(x67084),x67086),f326(f326(f80(x67084),x67083),x67082)))
% 178.51/178.26 [7733]~P109(x77331)+~P4(x77331)+~P106(f326(f326(f235(x77331),x77332),f326(x77335,x77336)))+~P106(f326(f326(f328(x77333),x77336),x77334))+P106(f326(f326(f235(x77331),x77332),f326(f326(f40(x77333,x77331),x77334),x77335)))
% 178.51/178.26 [10033]~P24(x100332,x100331,x100333,x100334)+~P24(x100331,x100332,x100336,x100335)+P25(x100331,x100332,f827(x100333,x100334,x100335,x100336,x100332,x100331),x100335,x100334)+~P106(f326(f326(f234(f922(x100332,a910)),f326(f309(x100331,x100332,x100336),x100335)),x100334))+~P106(f326(f326(f234(f922(x100331,a910)),f326(f309(x100332,x100331,x100333),x100334)),x100335))
% 178.51/178.26 [8400]~P109(x84001)+~P4(x84001)+~P106(f326(f326(f235(x84001),f326(x84004,x84006)),x84005))+~P106(f326(f326(f328(x84002),x84006),x84003))+P106(f326(f326(f235(x84001),f326(f326(f39(x84002,x84001),x84003),x84004)),x84005))
% 178.51/178.26 [8651]~P18(x86512,x86515,x86516,x86511)+~P106(f326(f61(x86512),x86514))+~P106(f326(f61(x86512),x86513))+~E(f326(f326(f101(f922(x86512,a910)),x86513),x86514),f188(f922(x86512,a910)))+E(f326(x86511,f326(f326(f110(f922(x86512,a910)),x86513),x86514)),f326(f72(x86515,x86515,x86515,f326(x86511,x86513)),f326(x86511,x86514)))
% 178.51/178.26 [10232]~P75(x102321)+~E(f813(x102324,x102325,x102323,x102326,x102322,x102321),f814(x102324,x102325,x102323,x102326,x102322,x102321))+~P106(f326(f61(x102322),x102326))+E(f326(f326(f326(f65(x102321,x102322,f80(x102321)),f326(f326(f10(f922(x102323,a910),x102321,x102322),f326(f326(f65(x102321,x102323,f80(x102321)),x102324),f77(x102321))),x102325)),f77(x102321)),x102326),f326(f326(f326(f65(x102321,x102323,f80(x102321)),x102324),f77(x102321)),f326(f326(f40(x102322,f922(x102323,a910)),x102326),x102325)))+P106(f326(f326(f328(x102322),f812(x102324,x102325,x102323,x102326,x102322,x102321)),x102326))
% 178.51/178.26 [10262]~P75(x102621)+~E(f813(x102624,x102625,x102623,x102626,x102622,x102621),f814(x102624,x102625,x102623,x102626,x102622,x102621))+~P106(f326(f61(x102622),x102626))+E(f326(f326(f326(f65(x102621,x102622,f80(x102621)),f326(f326(f10(f922(x102623,a910),x102621,x102622),f326(f326(f65(x102621,x102623,f80(x102621)),x102624),f77(x102621))),x102625)),f77(x102621)),x102626),f326(f326(f326(f65(x102621,x102623,f80(x102621)),x102624),f77(x102621)),f326(f326(f40(x102622,f922(x102623,a910)),x102626),x102625)))+~P106(f326(f61(x102623),f326(x102625,f812(x102624,x102625,x102623,x102626,x102622,x102621))))
% 178.51/178.26 [10265]~P75(x102651)+~P106(f326(f61(x102652),x102656))+E(f326(f326(f326(f65(x102651,x102652,f80(x102651)),f326(f326(f10(f922(x102653,a910),x102651,x102652),f326(f326(f65(x102651,x102653,f80(x102651)),x102654),f77(x102651))),x102655)),f77(x102651)),x102656),f326(f326(f326(f65(x102651,x102653,f80(x102651)),x102654),f77(x102651)),f326(f326(f40(x102652,f922(x102653,a910)),x102656),x102655)))+P106(f326(f326(f328(x102652),f812(x102654,x102655,x102653,x102656,x102652,x102651)),x102656))+P106(f326(f326(f328(x102652),f814(x102654,x102655,x102653,x102656,x102652,x102651)),x102656))
% 178.51/178.26 [10266]~P75(x102661)+~P106(f326(f61(x102662),x102666))+E(f326(f326(f326(f65(x102661,x102662,f80(x102661)),f326(f326(f10(f922(x102663,a910),x102661,x102662),f326(f326(f65(x102661,x102663,f80(x102661)),x102664),f77(x102661))),x102665)),f77(x102661)),x102666),f326(f326(f326(f65(x102661,x102663,f80(x102661)),x102664),f77(x102661)),f326(f326(f40(x102662,f922(x102663,a910)),x102666),x102665)))+P106(f326(f326(f328(x102662),f812(x102664,x102665,x102663,x102666,x102662,x102661)),x102666))+P106(f326(f326(f328(x102662),f813(x102664,x102665,x102663,x102666,x102662,x102661)),x102666))
% 178.51/178.26 [10288]~P75(x102881)+~P106(f326(f61(x102882),x102886))+E(f326(f326(f326(f65(x102881,x102882,f80(x102881)),f326(f326(f10(f922(x102883,a910),x102881,x102882),f326(f326(f65(x102881,x102883,f80(x102881)),x102884),f77(x102881))),x102885)),f77(x102881)),x102886),f326(f326(f326(f65(x102881,x102883,f80(x102881)),x102884),f77(x102881)),f326(f326(f40(x102882,f922(x102883,a910)),x102886),x102885)))+P106(f326(f326(f328(x102882),f814(x102884,x102885,x102883,x102886,x102882,x102881)),x102886))+~P106(f326(f61(x102883),f326(x102885,f812(x102884,x102885,x102883,x102886,x102882,x102881))))
% 178.51/178.26 [10289]~P75(x102891)+~P106(f326(f61(x102892),x102896))+E(f326(f326(f326(f65(x102891,x102892,f80(x102891)),f326(f326(f10(f922(x102893,a910),x102891,x102892),f326(f326(f65(x102891,x102893,f80(x102891)),x102894),f77(x102891))),x102895)),f77(x102891)),x102896),f326(f326(f326(f65(x102891,x102893,f80(x102891)),x102894),f77(x102891)),f326(f326(f40(x102892,f922(x102893,a910)),x102896),x102895)))+P106(f326(f326(f328(x102892),f813(x102894,x102895,x102893,x102896,x102892,x102891)),x102896))+~P106(f326(f61(x102893),f326(x102895,f812(x102894,x102895,x102893,x102896,x102892,x102891))))
% 178.51/178.26 [10300]~P75(x103001)+~E(f326(f326(f101(f922(x103003,a910)),f326(x103005,f814(x103004,x103005,x103003,x103006,x103002,x103001))),f326(x103005,f813(x103004,x103005,x103003,x103006,x103002,x103001))),f188(f922(x103003,a910)))+~P106(f326(f61(x103002),x103006))+E(f326(f326(f326(f65(x103001,x103002,f80(x103001)),f326(f326(f10(f922(x103003,a910),x103001,x103002),f326(f326(f65(x103001,x103003,f80(x103001)),x103004),f77(x103001))),x103005)),f77(x103001)),x103006),f326(f326(f326(f65(x103001,x103003,f80(x103001)),x103004),f77(x103001)),f326(f326(f40(x103002,f922(x103003,a910)),x103006),x103005)))+P106(f326(f326(f328(x103002),f812(x103004,x103005,x103003,x103006,x103002,x103001)),x103006))
% 178.51/178.26 [10311]~P75(x103111)+~E(f326(f326(f101(f922(x103113,a910)),f326(x103115,f814(x103114,x103115,x103113,x103116,x103112,x103111))),f326(x103115,f813(x103114,x103115,x103113,x103116,x103112,x103111))),f188(f922(x103113,a910)))+~P106(f326(f61(x103112),x103116))+E(f326(f326(f326(f65(x103111,x103112,f80(x103111)),f326(f326(f10(f922(x103113,a910),x103111,x103112),f326(f326(f65(x103111,x103113,f80(x103111)),x103114),f77(x103111))),x103115)),f77(x103111)),x103116),f326(f326(f326(f65(x103111,x103113,f80(x103111)),x103114),f77(x103111)),f326(f326(f40(x103112,f922(x103113,a910)),x103116),x103115)))+~P106(f326(f61(x103113),f326(x103115,f812(x103114,x103115,x103113,x103116,x103112,x103111))))
% 178.51/178.26 [8984]E(x89841,x89842)+~P56(x89844,x89845,x89846,x89843,x89847)+~E(f326(x89843,x89841),f326(x89843,x89842))+~P106(f326(f326(f328(x89845),x89842),x89847))+~P106(f326(f326(f328(x89845),x89841),x89847))
% 178.51/178.26 [10276]~P106(f326(x102762,x102764))+~E(x102765,f326(f136(x102761,x102762),x102767))+E(f326(f136(x102761,x102762),x102763),f326(f326(f151(x102761),x102764),x102765))+~E(x102763,f326(f326(f134(x102761),x102766),f326(f326(f151(x102761),x102764),x102767)))+P106(f326(x102762,f747(x102765,x102764,x102763,x102762,x102761,x102766,x102767)))
% 178.51/178.26 [10277]~P106(f326(x102774,x102772))+~E(x102773,f326(f136(x102771,x102774),x102777))+E(f326(f326(f151(x102771),x102772),x102773),f326(f136(x102771,x102774),x102775))+~E(x102775,f326(f326(f134(x102771),x102776),f326(f326(f151(x102771),x102772),x102777)))+P106(f326(x102774,f748(x102775,x102774,x102773,x102772,x102771,x102776,x102777)))
% 178.51/178.26 [10327]~P106(f326(x103272,x103274))+~E(x103275,f326(f136(x103271,x103272),x103277))+E(f326(f136(x103271,x103272),x103273),f326(f326(f151(x103271),x103274),x103275))+~E(x103273,f326(f326(f134(x103271),x103276),f326(f326(f151(x103271),x103274),x103277)))+P106(f326(f326(f328(x103271),f747(x103275,x103274,x103273,x103272,x103271,x103276,x103277)),f326(f172(x103271),x103276)))
% 178.51/178.26 [10328]~P106(f326(x103284,x103282))+~E(x103283,f326(f136(x103281,x103284),x103287))+E(f326(f326(f151(x103281),x103282),x103283),f326(f136(x103281,x103284),x103285))+~E(x103285,f326(f326(f134(x103281),x103286),f326(f326(f151(x103281),x103282),x103287)))+P106(f326(f326(f328(x103281),f748(x103285,x103284,x103283,x103282,x103281,x103286,x103287)),f326(f172(x103281),x103286)))
% 178.51/178.26 [10332]~P7(x103321,x103327,x103326)+~P10(x103321,f922(x103325,a910),x103326,x103324)+P106(f326(f326(f328(x103321),f517(x103322,x103323,x103324,x103325,x103326,x103327,x103321)),x103327))+~P106(f326(f326(f328(f922(x103321,a910)),x103323),f326(f326(f60(x103321),x103327),x103326)))+P106(f326(f326(f328(f922(x103325,a910)),f326(f326(f40(x103321,f922(x103325,a910)),x103323),x103324)),x103322))
% 178.51/178.26 [10391]~P7(x103912,x103916,x103917)+~P10(x103912,f922(x103911,a910),x103917,x103914)+~P106(f326(f326(f328(f922(x103912,a910)),x103913),f326(f326(f60(x103912),x103916),x103917)))+~P106(f326(f326(f328(f922(x103911,a910)),f326(x103914,f517(x103915,x103913,x103914,x103911,x103917,x103916,x103912))),x103915))+P106(f326(f326(f328(f922(x103911,a910)),f326(f326(f40(x103912,f922(x103911,a910)),x103913),x103914)),x103915))
% 178.51/178.26 [8572]~P75(x85722)+~P24(x85721,x85725,x85728,x85724)+~E(x85723,f326(f72(x85725,x85722,x85721,x85726),x85728))+~E(x85727,f326(f309(x85721,x85725,x85728),x85724))+E(f326(f326(f11(x85721,x85722),x85723),x85724),f326(f326(f11(x85725,x85722),x85726),x85727))
% 178.51/178.26 [10395]~P75(x103952)+~P24(x103955,x103951,x103958,x103957)+~E(f326(x103956,f595(x103953,x103956,x103954,x103957,x103958,x103951,x103955,x103952)),f326(f326(f72(x103951,x103952,x103955,x103953),x103958),f595(x103953,x103956,x103954,x103957,x103958,x103951,x103955,x103952)))+~E(x103954,f326(f309(x103955,x103951,x103958),x103957))+E(f326(f326(f11(x103951,x103952),x103953),x103954),f326(f326(f11(x103955,x103952),x103956),x103957))
% 178.51/178.26 [10399]~P70(x103992)+~P24(x103991,x103995,x103998,x103994)+~E(x103997,f326(f309(x103991,x103995,x103998),x103994))+E(f326(f326(f8(x103991,x103992),x103993),x103994),f326(f326(f8(x103995,x103992),x103996),x103997))+P106(f326(f326(f328(x103991),f611(x103996,x103993,x103997,x103994,x103998,x103995,x103991,x103992)),x103994))
% 178.51/178.26 [10400]~P75(x104002)+~P24(x104001,x104005,x104008,x104004)+~E(x104007,f326(f309(x104001,x104005,x104008),x104004))+E(f326(f326(f11(x104001,x104002),x104003),x104004),f326(f326(f11(x104005,x104002),x104006),x104007))+P106(f326(f326(f328(x104001),f595(x104006,x104003,x104007,x104004,x104008,x104005,x104001,x104002)),x104004))
% 178.51/178.26 [10405]~P70(x104052)+~P24(x104055,x104051,x104058,x104057)+~E(x104054,f326(f309(x104055,x104051,x104058),x104057))+~E(f326(x104056,f611(x104053,x104056,x104054,x104057,x104058,x104051,x104055,x104052)),f326(x104053,f326(x104058,f611(x104053,x104056,x104054,x104057,x104058,x104051,x104055,x104052))))+E(f326(f326(f8(x104051,x104052),x104053),x104054),f326(f326(f8(x104055,x104052),x104056),x104057))
% 178.51/178.26 [9869]~P22(x98696,x98692,x98695,x98697,x98698,x98691)+~P106(f326(f61(x98692),x98694))+~P106(f326(f61(x98692),x98693))+~E(f326(f326(f101(f922(x98692,a910)),x98693),x98694),f188(f922(x98692,a910)))+E(f326(x98691,f326(f326(f110(f922(x98692,a910)),x98693),x98694)),f326(f326(x98695,f326(x98691,x98693)),f326(x98691,x98694)))
% 178.51/178.26 [10259]~P22(x102598,x102592,x102595,x102597,x102596,x102591)+~E(f326(x102596,f689(x102594,x102593,x102591,x102596,x102597,x102595,x102592)),x102597)+~P106(f326(f61(x102592),x102593))+~P106(f326(f61(x102592),x102594))+E(f326(x102591,f326(f326(f110(f922(x102592,a910)),x102593),x102594)),f326(f326(x102595,f326(x102591,x102593)),f326(x102591,x102594)))
% 178.51/178.26 [10339]~P22(x103398,x103392,x103395,x103397,x103396,x103391)+~P106(f326(f61(x103392),x103393))+~P106(f326(f61(x103392),x103394))+E(f326(x103391,f326(f326(f110(f922(x103392,a910)),x103393),x103394)),f326(f326(x103395,f326(x103391,x103393)),f326(x103391,x103394)))+P106(f326(f326(f328(x103392),f689(x103394,x103393,x103391,x103396,x103397,x103395,x103392)),f326(f326(f101(f922(x103392,a910)),x103393),x103394)))
% 178.51/178.26 [10024]~P7(x100244,x100248,x100245)+~P7(x100241,x100249,x100243)+~P11(x100241,x100244,f922(x100242,a910),x100243,x100245,x100247)+P10(x100241,f922(x100242,a910),x100243,f326(f326(f10(f922(x100244,f922(x100242,a910)),f922(x100242,a910),x100241),f326(f40(x100244,f922(x100242,a910)),f326(f284(x100244,x100244,x100245),f326(f326(f308(x100244),x100246),f188(f922(x100244,a910)))))),x100247))+~P106(f326(f326(f328(x100244),x100246),x100248))
% 178.51/178.26 [5605]~P109(x56053)+~P12(x56053,x56051)+E(x56051,f725(x56052,x56053))+~E(f326(f172(x56053),x56051),x56052)+~P106(f326(f61(x56053),x56052))+~P106(f326(f137(x56053),x56051))
% 178.51/178.26 [7443]P14(x74431,x74432)+~E(f326(x74432,f804(x74432)),f326(x74432,f805(x74432)))+~P106(f326(f326(x74432,f804(x74432)),f804(x74432)))+~P106(f326(f326(x74432,f804(x74432)),f805(x74432)))+~P106(f326(f326(x74432,f805(x74432)),f805(x74432)))+~P106(f326(f326(x74432,x74433),x74433))
% 178.51/178.26 [5227]~P131(x52272)+~P133(x52272)+~P143(x52272)+~P116(x52272)+E(x52271,f2(x52272))+~E(f326(f326(f243(x52272),x52271),x52273),f2(x52272))
% 178.51/178.26 [5228]~P131(x52282)+~P133(x52282)+~P143(x52282)+~P116(x52282)+~E(x52281,f2(a914))+~E(f326(f326(f243(x52282),x52283),x52281),f2(x52282))
% 178.51/178.26 [6690]~P89(x66901)+~E(x66903,f2(x66901))+~E(x66902,f2(x66901))+E(f326(f326(f79(x66901),x66902),x66903),f2(x66901))+~P106(f326(f326(f234(x66901),f2(x66901)),x66903))+~P106(f326(f326(f234(x66901),f2(x66901)),x66902))
% 178.51/178.26 [9052]~E(f326(f250(a914,a914),x90523),f2(a914))+~E(x90521,f326(f326(f79(a914),f326(f326(f80(a914),f326(f250(a914,a914),x90523)),x90522)),f326(f255(a914,a914),x90523)))+P106(f326(f48(x90521,x90522),x90523))+~P106(f326(f326(f234(a914),f326(f255(a914,a914),x90523)),f2(a914)))+P106(f326(f326(f235(a914),f2(a914)),x90522))+~P106(f326(f326(f235(a914),x90522),f326(f255(a914,a914),x90523)))
% 178.51/178.26 [9060]E(x90601,f2(a914))+~E(x90602,f326(f326(f79(a914),f326(f326(f80(a914),f326(f250(a914,a914),x90603)),x90601)),f326(f255(a914,a914),x90603)))+P106(f326(f48(x90602,x90601),x90603))+~P106(f326(f326(f235(a914),f2(a914)),x90601))+~P106(f326(f326(f234(a914),f2(a914)),f326(f255(a914,a914),x90603)))+~P106(f326(f326(f235(a914),f326(f255(a914,a914),x90603)),x90601))
% 178.51/178.26 [9078]~E(f326(f250(a914,a914),x90783),f2(a914))+~E(x90781,f326(f326(f79(a914),f326(f326(f80(a914),f326(f250(a914,a914),x90783)),x90782)),f326(f255(a914,a914),x90783)))+P106(f326(f48(x90781,x90782),x90783))+~P106(f326(f326(f235(a914),f2(a914)),x90782))+~P106(f326(f326(f234(a914),f2(a914)),f326(f255(a914,a914),x90783)))+~P106(f326(f326(f235(a914),f326(f255(a914,a914),x90783)),x90782))
% 178.51/178.26 [7071]~P78(x70712)+E(x70711,f188(f922(x70712,a910)))+E(x70713,f188(f922(x70712,a910)))+~P106(f326(f61(x70712),x70711))+~P106(f326(f61(x70712),x70713))+E(f12(x70712,f326(f326(f110(f922(x70712,a910)),x70713),x70711)),f326(f326(f110(x70712),f12(x70712,x70713)),f12(x70712,x70711)))
% 178.51/178.26 [7072]~P78(x70722)+E(x70721,f188(f922(x70722,a910)))+E(x70723,f188(f922(x70722,a910)))+~P106(f326(f61(x70722),x70721))+~P106(f326(f61(x70722),x70723))+E(f13(x70722,f326(f326(f110(f922(x70722,a910)),x70723),x70721)),f326(f326(f101(x70722),f13(x70722,x70723)),f13(x70722,x70721)))
% 178.51/178.26 [7073]~P109(x70732)+E(x70731,f188(f922(x70732,a910)))+E(x70733,f188(f922(x70732,a910)))+~P106(f326(f61(x70732),x70731))+~P106(f326(f61(x70732),x70733))+E(f16(x70732,f326(f326(f110(f922(x70732,a910)),x70733),x70731)),f326(f326(f232(x70732),f16(x70732,x70733)),f16(x70732,x70731)))
% 178.51/178.26 [7074]~P109(x70742)+E(x70741,f188(f922(x70742,a910)))+E(x70743,f188(f922(x70742,a910)))+~P106(f326(f61(x70742),x70741))+~P106(f326(f61(x70742),x70743))+E(f17(x70742,f326(f326(f110(f922(x70742,a910)),x70743),x70741)),f326(f326(f233(x70742),f17(x70742,x70743)),f17(x70742,x70741)))
% 178.51/178.26 [7710]~P97(x77102)+E(x77101,f188(f922(x77102,a910)))+E(x77103,f188(f922(x77102,a910)))+~P106(f326(f61(x77102),x77101))+~P106(f326(f61(x77102),x77103))+E(f326(f326(f80(x77102),f326(f63(x77102,f80(x77102)),x77103)),f326(f63(x77102,f80(x77102)),x77101)),f326(f63(x77102,f80(x77102)),f326(f326(f110(f922(x77102,a910)),x77103),x77101)))
% 178.51/178.26 [7866]~P109(x78662)+E(x78661,f188(f922(x78662,a910)))+E(x78663,f188(f922(x78662,a910)))+~P106(f326(f61(x78662),x78661))+~P106(f326(f61(x78662),x78663))+E(f326(f326(f232(x78662),f14(x78662,f232(x78662),x78663)),f14(x78662,f232(x78662),x78661)),f14(x78662,f232(x78662),f326(f326(f110(f922(x78662,a910)),x78663),x78661)))
% 178.51/178.26 [7867]~P109(x78672)+E(x78671,f188(f922(x78672,a910)))+E(x78673,f188(f922(x78672,a910)))+~P106(f326(f61(x78672),x78671))+~P106(f326(f61(x78672),x78673))+E(f326(f326(f233(x78672),f15(x78672,f233(x78672),x78673)),f15(x78672,f233(x78672),x78671)),f15(x78672,f233(x78672),f326(f326(f110(f922(x78672,a910)),x78673),x78671)))
% 178.51/178.26 [8885]~P106(f326(x88851,x88853))+P106(f326(x88851,f456(x88851,x88852)))+P106(f326(x88851,f447(x88851,x88852)))+~P106(f326(f326(f235(a1),f2(a1)),x88852))+~P106(f326(f326(f328(a1),x88853),f302(a1,f77(a1),x88852)))+P106(f326(x88851,f326(f326(f3(a1),f447(x88851,x88852)),f326(f326(f80(a1),f455(x88851,x88852)),x88852))))
% 178.51/178.26 [9186]~P106(f326(x91861,x91863))+~P106(f326(x91861,f447(x91861,x91862)))+P106(f326(x91861,f456(x91861,x91862)))+~P106(f326(f326(f235(a1),f2(a1)),x91862))+~P106(f326(f326(f328(a1),x91863),f302(a1,f77(a1),x91862)))+~P106(f326(x91861,f326(f326(f3(a1),f447(x91861,x91862)),f326(f326(f80(a1),f455(x91861,x91862)),x91862))))
% 178.51/178.26 [10432]~P99(x104322)+E(x104321,f188(f922(x104322,a910)))+E(x104323,f188(f922(x104322,a910)))+~P106(f326(f61(x104322),x104321))+~P106(f326(f61(x104322),x104323))+E(f13(x104322,f326(f261(x104322),f326(f326(f10(f922(x104322,a910),a910,x104322),f86(x104322)),f326(f326(f10(f922(x104322,f922(x104322,a910)),f922(x104322,a910),x104322),f326(f10(f922(x104322,a910),a910,x104322),f86(x104322))),f326(f326(f9(x104322,f922(x104322,f922(x104322,a910)),f922(x104322,f922(x104322,a910))),f326(f326(f10(f922(x104322,f922(f922(x104322,a910),f922(x104322,a910))),f922(f922(x104322,f922(x104322,a910)),f922(x104322,f922(x104322,a910))),x104322),f20(x104322,f922(x104322,a910),f922(x104322,a910))),f326(f326(f10(f922(x104322,f922(x104322,f922(a910,a910))),f922(x104322,f922(f922(x104322,a910),f922(x104322,a910))),x104322),f326(f10(f922(x104322,f922(a910,a910)),f922(f922(x104322,a910),f922(x104322,a910)),x104322),f20(x104322,a910,a910))),f326(f326(f10(f922(x104322,f922(x104322,a910)),f922(x104322,f922(x104322,f922(a910,a910))),x104322),f326(f10(f922(x104322,a910),f922(x104322,f922(a910,a910)),x104322),f326(f10(a910,f922(a910,a910),x104322),a325))),f326(f326(f9(x104322,f922(x104322,f922(x104322,x104322)),f922(x104322,f922(x104322,a910))),f326(f326(f10(f922(f922(x104322,x104322),f922(x104322,a910)),f922(f922(x104322,f922(x104322,x104322)),f922(x104322,f922(x104322,a910))),x104322),f10(f922(x104322,x104322),f922(x104322,a910),x104322)),f326(f326(f10(f922(x104322,a910),f922(f922(x104322,x104322),f922(x104322,a910)),x104322),f10(x104322,a910,x104322)),a323))),f110(x104322)))))),f326(f326(f9(x104322,f922(x104322,a910),f922(x104322,a910)),f326(f326(f10(f922(a910,a910),f922(f922(x104322,a910),f922(x104322,a910)),x104322),f10(a910,a910,x104322)),f326(f326(f10(a910,f922(a910,a910),x104322),a325),f326(f326(f9(x104322,f922(x104322,a910),a910),f328(x104322)),x104323)))),f326(f326(f9(x104322,f922(x104322,a910),a910),f328(x104322)),x104321))))))),f326(f326(f110(x104322),f13(x104322,x104323)),f13(x104322,x104321)))
% 178.51/178.26 [10433]~P99(x104332)+E(x104331,f188(f922(x104332,a910)))+E(x104333,f188(f922(x104332,a910)))+~P106(f326(f61(x104332),x104331))+~P106(f326(f61(x104332),x104333))+E(f12(x104332,f326(f261(x104332),f326(f326(f10(f922(x104332,a910),a910,x104332),f86(x104332)),f326(f326(f10(f922(x104332,f922(x104332,a910)),f922(x104332,a910),x104332),f326(f10(f922(x104332,a910),a910,x104332),f86(x104332))),f326(f326(f9(x104332,f922(x104332,f922(x104332,a910)),f922(x104332,f922(x104332,a910))),f326(f326(f10(f922(x104332,f922(f922(x104332,a910),f922(x104332,a910))),f922(f922(x104332,f922(x104332,a910)),f922(x104332,f922(x104332,a910))),x104332),f20(x104332,f922(x104332,a910),f922(x104332,a910))),f326(f326(f10(f922(x104332,f922(x104332,f922(a910,a910))),f922(x104332,f922(f922(x104332,a910),f922(x104332,a910))),x104332),f326(f10(f922(x104332,f922(a910,a910)),f922(f922(x104332,a910),f922(x104332,a910)),x104332),f20(x104332,a910,a910))),f326(f326(f10(f922(x104332,f922(x104332,a910)),f922(x104332,f922(x104332,f922(a910,a910))),x104332),f326(f10(f922(x104332,a910),f922(x104332,f922(a910,a910)),x104332),f326(f10(a910,f922(a910,a910),x104332),a325))),f326(f326(f9(x104332,f922(x104332,f922(x104332,x104332)),f922(x104332,f922(x104332,a910))),f326(f326(f10(f922(f922(x104332,x104332),f922(x104332,a910)),f922(f922(x104332,f922(x104332,x104332)),f922(x104332,f922(x104332,a910))),x104332),f10(f922(x104332,x104332),f922(x104332,a910),x104332)),f326(f326(f10(f922(x104332,a910),f922(f922(x104332,x104332),f922(x104332,a910)),x104332),f10(x104332,a910,x104332)),a323))),f101(x104332)))))),f326(f326(f9(x104332,f922(x104332,a910),f922(x104332,a910)),f326(f326(f10(f922(a910,a910),f922(f922(x104332,a910),f922(x104332,a910)),x104332),f10(a910,a910,x104332)),f326(f326(f10(a910,f922(a910,a910),x104332),a325),f326(f326(f9(x104332,f922(x104332,a910),a910),f328(x104332)),x104333)))),f326(f326(f9(x104332,f922(x104332,a910),a910),f328(x104332)),x104331))))))),f326(f326(f101(x104332),f12(x104332,x104333)),f12(x104332,x104331)))
% 178.51/178.26 [10434]~P109(x104342)+E(x104341,f188(f922(x104342,a910)))+E(x104343,f188(f922(x104342,a910)))+~P106(f326(f61(x104342),x104341))+~P106(f326(f61(x104342),x104343))+E(f15(x104342,f233(x104342),f326(f261(x104342),f326(f326(f10(f922(x104342,a910),a910,x104342),f86(x104342)),f326(f326(f10(f922(x104342,f922(x104342,a910)),f922(x104342,a910),x104342),f326(f10(f922(x104342,a910),a910,x104342),f86(x104342))),f326(f326(f9(x104342,f922(x104342,f922(x104342,a910)),f922(x104342,f922(x104342,a910))),f326(f326(f10(f922(x104342,f922(f922(x104342,a910),f922(x104342,a910))),f922(f922(x104342,f922(x104342,a910)),f922(x104342,f922(x104342,a910))),x104342),f20(x104342,f922(x104342,a910),f922(x104342,a910))),f326(f326(f10(f922(x104342,f922(x104342,f922(a910,a910))),f922(x104342,f922(f922(x104342,a910),f922(x104342,a910))),x104342),f326(f10(f922(x104342,f922(a910,a910)),f922(f922(x104342,a910),f922(x104342,a910)),x104342),f20(x104342,a910,a910))),f326(f326(f10(f922(x104342,f922(x104342,a910)),f922(x104342,f922(x104342,f922(a910,a910))),x104342),f326(f10(f922(x104342,a910),f922(x104342,f922(a910,a910)),x104342),f326(f10(a910,f922(a910,a910),x104342),a325))),f326(f326(f9(x104342,f922(x104342,f922(x104342,x104342)),f922(x104342,f922(x104342,a910))),f326(f326(f10(f922(f922(x104342,x104342),f922(x104342,a910)),f922(f922(x104342,f922(x104342,x104342)),f922(x104342,f922(x104342,a910))),x104342),f10(f922(x104342,x104342),f922(x104342,a910),x104342)),f326(f326(f10(f922(x104342,a910),f922(f922(x104342,x104342),f922(x104342,a910)),x104342),f10(x104342,a910,x104342)),a323))),f232(x104342)))))),f326(f326(f9(x104342,f922(x104342,a910),f922(x104342,a910)),f326(f326(f10(f922(a910,a910),f922(f922(x104342,a910),f922(x104342,a910)),x104342),f10(a910,a910,x104342)),f326(f326(f10(a910,f922(a910,a910),x104342),a325),f326(f326(f9(x104342,f922(x104342,a910),a910),f328(x104342)),x104343)))),f326(f326(f9(x104342,f922(x104342,a910),a910),f328(x104342)),x104341))))))),f326(f326(f232(x104342),f15(x104342,f233(x104342),x104343)),f15(x104342,f233(x104342),x104341)))
% 178.51/178.26 [10435]~P109(x104352)+E(x104351,f188(f922(x104352,a910)))+E(x104353,f188(f922(x104352,a910)))+~P106(f326(f61(x104352),x104351))+~P106(f326(f61(x104352),x104353))+E(f14(x104352,f232(x104352),f326(f261(x104352),f326(f326(f10(f922(x104352,a910),a910,x104352),f86(x104352)),f326(f326(f10(f922(x104352,f922(x104352,a910)),f922(x104352,a910),x104352),f326(f10(f922(x104352,a910),a910,x104352),f86(x104352))),f326(f326(f9(x104352,f922(x104352,f922(x104352,a910)),f922(x104352,f922(x104352,a910))),f326(f326(f10(f922(x104352,f922(f922(x104352,a910),f922(x104352,a910))),f922(f922(x104352,f922(x104352,a910)),f922(x104352,f922(x104352,a910))),x104352),f20(x104352,f922(x104352,a910),f922(x104352,a910))),f326(f326(f10(f922(x104352,f922(x104352,f922(a910,a910))),f922(x104352,f922(f922(x104352,a910),f922(x104352,a910))),x104352),f326(f10(f922(x104352,f922(a910,a910)),f922(f922(x104352,a910),f922(x104352,a910)),x104352),f20(x104352,a910,a910))),f326(f326(f10(f922(x104352,f922(x104352,a910)),f922(x104352,f922(x104352,f922(a910,a910))),x104352),f326(f10(f922(x104352,a910),f922(x104352,f922(a910,a910)),x104352),f326(f10(a910,f922(a910,a910),x104352),a325))),f326(f326(f9(x104352,f922(x104352,f922(x104352,x104352)),f922(x104352,f922(x104352,a910))),f326(f326(f10(f922(f922(x104352,x104352),f922(x104352,a910)),f922(f922(x104352,f922(x104352,x104352)),f922(x104352,f922(x104352,a910))),x104352),f10(f922(x104352,x104352),f922(x104352,a910),x104352)),f326(f326(f10(f922(x104352,a910),f922(f922(x104352,x104352),f922(x104352,a910)),x104352),f10(x104352,a910,x104352)),a323))),f233(x104352)))))),f326(f326(f9(x104352,f922(x104352,a910),f922(x104352,a910)),f326(f326(f10(f922(a910,a910),f922(f922(x104352,a910),f922(x104352,a910)),x104352),f10(a910,a910,x104352)),f326(f326(f10(a910,f922(a910,a910),x104352),a325),f326(f326(f9(x104352,f922(x104352,a910),a910),f328(x104352)),x104353)))),f326(f326(f9(x104352,f922(x104352,a910),a910),f328(x104352)),x104351))))))),f326(f326(f233(x104352),f14(x104352,f232(x104352),x104353)),f14(x104352,f232(x104352),x104351)))
% 178.51/178.26 [7399]~P125(x73993)+E(x73991,x73992)+~E(f326(f326(f243(x73993),x73991),x73994),f326(f326(f243(x73993),x73992),x73994))+~P106(f326(f326(f234(x73993),f2(x73993)),x73992))+~P106(f326(f326(f234(x73993),f2(x73993)),x73991))+~P106(f326(f326(f235(a914),f2(a914)),x73994))
% 178.51/178.26 [7670]~P109(x76702)+E(x76701,f188(f922(x76702,a910)))+~P106(f326(f61(x76702),x76701))+~P106(f326(f326(f328(x76702),x76704),x76701))+P106(f326(f326(f234(x76702),x76703),x76704))+~P106(f326(f326(f234(x76702),x76703),f326(f63(x76702,f232(x76702)),x76701)))
% 178.51/178.26 [7671]~P102(x76712)+E(x76711,f188(f922(x76712,a910)))+~P106(f326(f61(x76712),x76711))+~P106(f326(f326(f328(x76712),x76714),x76711))+P106(f326(f326(f234(x76712),x76713),x76714))+~P106(f326(f326(f234(x76712),x76713),f326(f63(x76712,f101(x76712)),x76711)))
% 178.51/178.26 [7672]~P109(x76722)+E(x76721,f188(f922(x76722,a910)))+~P106(f326(f61(x76722),x76721))+~P106(f326(f326(f328(x76722),x76724),x76721))+P106(f326(f326(f235(x76722),x76723),x76724))+~P106(f326(f326(f235(x76722),x76723),f326(f63(x76722,f232(x76722)),x76721)))
% 178.51/178.26 [7575]E(x75751,f2(a1))+E(f326(f326(f36(a1),x75752),x75751),x75753)+~P106(f326(f326(f234(a1),x75754),f2(a1)))+~E(x75752,f326(f326(f79(a1),f326(f326(f80(a1),x75751),x75753)),x75754))+P106(f326(f326(f235(a1),f2(a1)),x75751))+~P106(f326(f326(f235(a1),x75751),x75754))
% 178.51/178.26 [7592]E(f45(a1,x75922,x75921),x75923)+E(x75921,f2(a1))+~P106(f326(f326(f234(a1),x75923),f2(a1)))+~E(x75922,f326(f326(f79(a1),f326(f326(f80(a1),x75921),x75924)),x75923))+P106(f326(f326(f235(a1),f2(a1)),x75921))+~P106(f326(f326(f235(a1),x75921),x75923))
% 178.51/178.26 [7709]E(x77091,f2(a1))+E(f326(f326(f36(a1),x77092),x77091),x77093)+~E(x77092,f326(f326(f79(a1),f326(f326(f80(a1),x77091),x77093)),x77094))+~P106(f326(f326(f234(a1),f2(a1)),x77094))+~P106(f326(f326(f235(a1),f2(a1)),x77091))+~P106(f326(f326(f235(a1),x77094),x77091))
% 178.51/178.26 [7729]E(f45(a1,x77292,x77291),x77293)+E(x77291,f2(a1))+~E(x77292,f326(f326(f79(a1),f326(f326(f80(a1),x77291),x77294)),x77293))+~P106(f326(f326(f234(a1),f2(a1)),x77293))+~P106(f326(f326(f235(a1),f2(a1)),x77291))+~P106(f326(f326(f235(a1),x77293),x77291))
% 178.51/178.26 [7870]~P109(x78702)+E(x78701,f188(f922(x78702,a910)))+~P106(f326(f61(x78702),x78701))+~P106(f326(f326(f328(x78702),x78704),x78701))+~P106(f326(f326(f234(x78702),x78704),x78703))+P106(f326(f326(f234(x78702),f326(f63(x78702,f232(x78702)),x78701)),x78703))
% 178.51/178.26 [7871]~P109(x78712)+E(x78711,f188(f922(x78712,a910)))+~P106(f326(f61(x78712),x78711))+~P106(f326(f326(f235(x78712),x78714),x78713))+~P106(f326(f326(f328(x78712),x78714),x78711))+P106(f326(f326(f235(x78712),f326(f63(x78712,f232(x78712)),x78711)),x78713))
% 178.51/178.26 [8424]~P106(f326(f326(f234(a1),x84244),f2(a1)))+~E(x84241,f326(f326(f79(a1),f326(f326(f80(a1),x84242),x84243)),x84244))+~P106(f326(f326(f234(a1),f2(a1)),x84244))+~P106(f326(f326(f235(a1),x84244),x84242))+~P106(f326(f326(f235(a1),x84242),x84244))+P106(f326(f49(x84241,x84242),f326(f326(f251(a1,a1),x84243),x84244)))
% 178.51/178.26 [8590]~P110(x85901)+P106(f326(f326(f235(f922(x85901,a910)),f302(x85901,x85902,x85903)),f302(x85901,x85904,x85905)))+~P106(f326(f326(f234(x85901),x85904),x85902))+~P106(f326(f326(f234(x85901),x85904),x85905))+~P106(f326(f326(f234(x85901),x85903),x85905))+~P106(f326(f326(f235(x85901),x85903),x85905))
% 178.51/178.26 [8591]~P110(x85911)+P106(f326(f326(f235(f922(x85911,a910)),f302(x85911,x85912,x85913)),f302(x85911,x85914,x85915)))+~P106(f326(f326(f234(x85911),x85913),x85915))+~P106(f326(f326(f234(x85911),x85914),x85915))+~P106(f326(f326(f234(x85911),x85914),x85912))+~P106(f326(f326(f235(x85911),x85914),x85912))
% 178.51/178.26 [9448]P58(x94482,x94483,x94484,x94481)+E(x94481,f188(f922(x94482,a910)))+~P106(f326(f61(x94482),x94484))+~P106(f326(f61(x94482),x94481))+~P106(f326(f326(x94483,f528(x94481,x94484,x94483,x94482)),x94485))+~P106(f326(f326(f328(x94482),x94485),x94481))
% 178.51/178.26 [9449]P58(x94492,x94493,x94494,x94491)+E(x94491,f188(f922(x94492,a910)))+~P106(f326(f61(x94492),x94494))+~P106(f326(f61(x94492),x94491))+~P106(f326(f326(x94493,f794(x94493,x94491,x94494,x94492)),x94495))+~P106(f326(f326(f328(x94492),x94495),x94491))
% 178.51/178.26 [9450]P58(x94502,x94503,x94504,x94501)+E(x94501,f188(f922(x94502,a910)))+~P106(f326(f61(x94502),x94504))+~P106(f326(f61(x94502),x94501))+~P106(f326(f326(x94503,f796(x94501,x94504,x94503,x94502)),x94505))+~P106(f326(f326(f328(x94502),x94505),x94501))
% 178.51/178.26 [9596]~E(x95963,x95965)+~P70(x95961)+~P75(x95961)+~P40(x95963)+E(f326(f326(f8(a1,x95961),x95962),x95963),f326(f326(f8(a1,x95961),x95964),x95965))+P106(f326(f326(f234(a1),f2(a1)),f529(x95962,x95964,x95963,x95965,x95961)))
% 178.51/178.26 [9597]~E(x95973,x95975)+~P70(x95971)+~P75(x95971)+~P40(x95973)+E(f326(f326(f11(a1,x95971),x95972),x95973),f326(f326(f11(a1,x95971),x95974),x95975))+P106(f326(f326(f234(a1),f2(a1)),f514(x95972,x95974,x95973,x95975,x95971)))
% 178.51/178.26 [9779]~E(x97795,x97793)+~P70(x97791)+~P75(x97791)+~P40(x97795)+~E(f326(x97792,f529(x97794,x97792,x97795,x97793,x97791)),f326(x97794,f529(x97794,x97792,x97795,x97793,x97791)))+E(f326(f326(f8(a1,x97791),x97792),x97793),f326(f326(f8(a1,x97791),x97794),x97795))
% 178.51/178.26 [9780]~E(x97805,x97803)+~P70(x97801)+~P75(x97801)+~P40(x97805)+~E(f326(x97802,f514(x97804,x97802,x97805,x97803,x97801)),f326(x97804,f514(x97804,x97802,x97805,x97803,x97801)))+E(f326(f326(f11(a1,x97801),x97802),x97803),f326(f326(f11(a1,x97801),x97804),x97805))
% 178.51/178.26 [9867]~P80(x98673)+E(f326(x98671,x98672),f2(x98673))+~E(f326(f326(f8(x98674,x98673),x98671),x98675),f2(x98673))+~P106(f326(f61(x98674),x98675))+P106(f326(f326(f328(x98674),f410(x98672,x98671,x98675,x98674,x98673)),x98675))+~P106(f326(f326(f328(x98674),x98672),x98675))
% 178.51/178.26 [9995]~P80(x99953)+E(f326(x99951,x99952),f2(x99953))+~E(f326(f326(f8(x99954,x99953),x99951),x99955),f2(x99953))+~P106(f326(f61(x99954),x99955))+~P106(f326(f326(f328(x99954),x99952),x99955))+~P106(f326(f326(f234(x99953),f2(x99953)),f326(x99951,f410(x99952,x99951,x99955,x99954,x99953))))
% 178.51/178.26 [8509]~P136(x85091)+~P106(f326(f326(f234(x85091),x85093),x85095))+~P106(f326(f326(f234(x85091),x85092),x85094))+~P106(f326(f326(f234(x85091),f2(x85091)),x85093))+~P106(f326(f326(f234(x85091),f2(x85091)),x85094))+P106(f326(f326(f234(x85091),f326(f326(f80(x85091),x85092),x85093)),f326(f326(f80(x85091),x85094),x85095)))
% 178.51/178.26 [8510]~P136(x85101)+~P106(f326(f326(f234(x85101),x85103),x85105))+~P106(f326(f326(f234(x85101),x85102),x85104))+~P106(f326(f326(f234(x85101),f2(x85101)),x85103))+~P106(f326(f326(f234(x85101),f2(x85101)),x85102))+P106(f326(f326(f234(x85101),f326(f326(f80(x85101),x85102),x85103)),f326(f326(f80(x85101),x85104),x85105)))
% 178.51/178.26 [8511]~P66(x85111)+~P106(f326(f326(f235(x85111),f2(x85111)),x85115))+~P106(f326(f326(f234(x85111),x85115),x85113))+~P106(f326(f326(f234(x85111),x85112),x85114))+~P106(f326(f326(f234(x85111),f2(x85111)),x85112))+P106(f326(f326(f234(x85111),f326(f326(f289(x85111),x85112),x85113)),f326(f326(f289(x85111),x85114),x85115)))
% 178.51/178.26 [8512]~P132(x85121)+~P106(f326(f326(f234(x85121),x85123),x85125))+~P106(f326(f326(f234(x85121),f2(x85121)),x85122))+~P106(f326(f326(f235(x85121),x85122),x85124))+~P106(f326(f326(f235(x85121),f2(x85121)),x85123))+P106(f326(f326(f235(x85121),f326(f326(f80(x85121),x85122),x85123)),f326(f326(f80(x85121),x85124),x85125)))
% 178.51/178.26 [8513]~P132(x85131)+~P106(f326(f326(f234(x85131),x85132),x85134))+~P106(f326(f326(f234(x85131),f2(x85131)),x85133))+~P106(f326(f326(f235(x85131),x85133),x85135))+~P106(f326(f326(f235(x85131),f2(x85131)),x85132))+P106(f326(f326(f235(x85131),f326(f326(f80(x85131),x85132),x85133)),f326(f326(f80(x85131),x85134),x85135)))
% 178.51/178.26 [8514]~P132(x85141)+~P106(f326(f326(f234(x85141),f2(x85141)),x85143))+~P106(f326(f326(f234(x85141),f2(x85141)),x85142))+~P106(f326(f326(f235(x85141),x85143),x85145))+~P106(f326(f326(f235(x85141),x85142),x85144))+P106(f326(f326(f235(x85141),f326(f326(f80(x85141),x85142),x85143)),f326(f326(f80(x85141),x85144),x85145)))
% 178.51/178.26 [8515]~P132(x85151)+~P106(f326(f326(f234(x85151),f2(x85151)),x85153))+~P106(f326(f326(f235(x85151),x85153),x85155))+~P106(f326(f326(f235(x85151),x85152),x85154))+~P106(f326(f326(f235(x85151),f2(x85151)),x85154))+P106(f326(f326(f235(x85151),f326(f326(f80(x85151),x85152),x85153)),f326(f326(f80(x85151),x85154),x85155)))
% 178.51/178.26 [8516]~P66(x85161)+~P106(f326(f326(f234(x85161),x85165),x85163))+~P106(f326(f326(f234(x85161),f2(x85161)),x85162))+~P106(f326(f326(f235(x85161),x85162),x85164))+~P106(f326(f326(f235(x85161),f2(x85161)),x85165))+P106(f326(f326(f235(x85161),f326(f326(f289(x85161),x85162),x85163)),f326(f326(f289(x85161),x85164),x85165)))
% 178.51/178.26 [8517]~P66(x85171)+~P106(f326(f326(f234(x85171),x85172),x85174))+~P106(f326(f326(f235(x85171),x85175),x85173))+~P106(f326(f326(f235(x85171),f2(x85171)),x85175))+~P106(f326(f326(f235(x85171),f2(x85171)),x85172))+P106(f326(f326(f235(x85171),f326(f326(f289(x85171),x85172),x85173)),f326(f326(f289(x85171),x85174),x85175)))
% 178.51/178.26 [9910]~P70(x99105)+~P84(x99105)+E(x99101,f188(f922(x99102,a910)))+~P106(f326(f61(x99102),x99101))+P106(f326(f326(f328(x99102),f635(x99103,x99104,x99101,x99102,x99105)),x99101))+P106(f326(f326(f235(x99105),f326(f326(f8(x99102,x99105),x99104),x99101)),f326(f326(f8(x99102,x99105),x99103),x99101)))
% 178.51/178.26 [10020]~P70(x100201)+~P86(x100201)+~P106(f326(f61(x100202),x100205))+~P106(f326(f326(f234(x100201),f2(x100201)),f326(x100203,f888(x100203,x100204,x100205,x100202,x100201))))+P106(f326(f326(f234(x100201),f326(f326(f8(x100202,x100201),x100203),x100204)),f326(f326(f8(x100202,x100201),x100203),x100205)))+~P106(f326(f326(f234(f922(x100202,a910)),x100204),x100205))
% 178.51/178.26 [10180]~P70(x101803)+~P84(x101803)+E(x101801,f188(f922(x101802,a910)))+~P106(f326(f61(x101802),x101801))+~P106(f326(f326(f235(x101803),f326(x101804,f635(x101805,x101804,x101801,x101802,x101803))),f326(x101805,f635(x101805,x101804,x101801,x101802,x101803))))+P106(f326(f326(f235(x101803),f326(f326(f8(x101802,x101803),x101804),x101801)),f326(f326(f8(x101802,x101803),x101805),x101801)))
% 178.51/178.26 [7255]~P16(x72552,x72555,x72554)+E(x72551,f188(f922(x72552,a910)))+E(x72553,f188(f922(x72552,a910)))+~P106(f326(f61(x72552),x72551))+~P106(f326(f61(x72552),x72553))+E(f326(x72554,f326(f326(f110(f922(x72552,a910)),x72553),x72551)),f326(f326(x72555,f326(x72554,x72553)),f326(x72554,x72551)))
% 178.51/178.26 [7837]~P147(x78371,x78374,x78373)+P106(f326(x78371,x78372))+~P106(f326(f326(f235(a1),x78374),f2(a1)))+~P106(f326(f326(f234(a1),x78375),f2(a1)))+~E(x78373,f326(f326(f79(a1),f326(f326(f80(a1),x78374),x78372)),x78375))+~P106(f326(f326(f235(a1),x78374),x78375))
% 178.51/178.26 [7838]~P146(x78381,x78384,x78383)+P106(f326(x78381,x78382))+~P106(f326(f326(f235(a1),x78384),f2(a1)))+~P106(f326(f326(f234(a1),x78382),f2(a1)))+~E(x78383,f326(f326(f79(a1),f326(f326(f80(a1),x78384),x78385)),x78382))+~P106(f326(f326(f235(a1),x78384),x78382))
% 178.51/178.26 [7879]~P147(x78791,x78794,x78793)+P106(f326(x78791,x78792))+~E(x78793,f326(f326(f79(a1),f326(f326(f80(a1),x78794),x78792)),x78795))+~P106(f326(f326(f234(a1),f2(a1)),x78795))+~P106(f326(f326(f235(a1),f2(a1)),x78794))+~P106(f326(f326(f235(a1),x78795),x78794))
% 178.51/178.26 [7880]~P146(x78801,x78804,x78803)+P106(f326(x78801,x78802))+~E(x78803,f326(f326(f79(a1),f326(f326(f80(a1),x78804),x78805)),x78802))+~P106(f326(f326(f234(a1),f2(a1)),x78802))+~P106(f326(f326(f235(a1),f2(a1)),x78804))+~P106(f326(f326(f235(a1),x78802),x78804))
% 178.51/178.26 [8798]P106(f326(f326(x87981,x87982),x87983))+~P106(f326(f326(x87981,f326(f326(f36(a1),x87984),x87985)),f45(a1,x87984,x87985)))+~P106(f326(f326(f235(a1),x87985),f2(a1)))+~P106(f326(f326(f234(a1),x87983),f2(a1)))+~E(x87984,f326(f326(f79(a1),f326(f326(f80(a1),x87985),x87982)),x87983))+~P106(f326(f326(f235(a1),x87985),x87983))
% 178.51/178.26 [8807]P106(f326(f326(x88071,x88072),x88073))+~P106(f326(f326(x88071,f326(f326(f36(a1),x88074),x88075)),f45(a1,x88074,x88075)))+~E(x88074,f326(f326(f79(a1),f326(f326(f80(a1),x88075),x88072)),x88073))+~P106(f326(f326(f234(a1),f2(a1)),x88073))+~P106(f326(f326(f235(a1),f2(a1)),x88075))+~P106(f326(f326(f235(a1),x88073),x88075))
% 178.51/178.26 [9068]E(x90681,x90682)+~P55(x90683,x90685,x90684)+~P106(f326(f326(f328(x90683),x90682),x90685))+~P106(f326(f326(f328(x90683),x90681),x90685))+P106(f326(f326(f328(f921(x90683,x90683)),f326(f326(f251(x90683,x90683),x90681),x90682)),x90684))+P106(f326(f326(f328(f921(x90683,x90683)),f326(f326(f251(x90683,x90683),x90682),x90681)),x90684))
% 178.51/178.26 [9937]~P70(x99375)+~P86(x99375)+~P106(f326(f61(x99371),x99374))+P106(f326(f326(f234(x99375),f326(f326(f8(x99371,x99375),x99372),x99373)),f326(f326(f8(x99371,x99375),x99372),x99374)))+~P106(f326(f326(f234(f922(x99371,a910)),x99373),x99374))+P106(f326(f326(f328(x99371),f888(x99372,x99373,x99374,x99371,x99375)),f326(f326(f3(f922(x99371,a910)),x99374),x99373)))
% 178.51/178.26 [10028]E(x100281,f188(f922(x100282,a910)))+~P106(f326(f61(x100282),x100283))+~P106(f326(f61(x100282),x100281))+P106(f326(f326(f328(f921(f922(x100282,a910),f922(x100282,a910))),f326(f326(f251(f922(x100282,a910),f922(x100282,a910)),x100283),x100281)),f318(x100282,x100284)))+~P106(f326(f326(f328(x100282),x100285),x100281))+~P106(f326(f326(f328(f921(x100282,x100282)),f326(f326(f251(x100282,x100282),f534(x100284,x100281,x100283,x100282)),x100285)),x100284))
% 178.51/178.26 [10029]E(x100291,f188(f922(x100292,a910)))+~P106(f326(f61(x100292),x100293))+~P106(f326(f61(x100292),x100291))+P106(f326(f326(f328(f921(f922(x100292,a910),f922(x100292,a910))),f326(f326(f251(f922(x100292,a910),f922(x100292,a910)),x100293),x100291)),f318(x100292,x100294)))+~P106(f326(f326(f328(x100292),x100295),x100291))+~P106(f326(f326(f328(f921(x100292,x100292)),f326(f326(f251(x100292,x100292),f607(x100294,x100291,x100293,x100292)),x100295)),x100294))
% 178.51/178.26 [10184]~P80(x101841)+~E(f326(f326(f8(x101845,x101841),x101842),x101846),x101844)+~P106(f326(f61(x101845),x101846))+P106(f326(f326(f328(x101845),f411(x101843,x101844,x101842,x101846,x101845,x101841)),x101846))+P106(f326(f326(f234(x101841),f326(x101842,x101843)),x101844))+~P106(f326(f326(f328(x101845),x101843),x101846))
% 178.51/178.26 [10229]~P80(x102291)+~E(f326(f326(f8(x102295,x102291),x102292),x102296),x102294)+~P106(f326(f61(x102295),x102296))+~P106(f326(f326(f328(x102295),x102293),x102296))+~P106(f326(f326(f234(x102291),f2(x102291)),f326(x102292,f411(x102293,x102294,x102292,x102296,x102295,x102291))))+P106(f326(f326(f234(x102291),f326(x102292,x102293)),x102294))
% 178.51/178.26 [10377]~E(x103775,x103778)+~E(x103774,x103777)+~P108(x103771)+~P70(x103772)+E(f326(f326(f8(x103771,x103772),x103773),f326(f301(x103771,x103774),x103775)),f326(f326(f8(x103771,x103772),x103776),f326(f301(x103771,x103777),x103778)))+P106(f326(f326(f234(x103771),x103774),f610(x103773,x103776,x103775,x103778,x103774,x103777,x103771,x103772)))
% 178.51/178.26 [10394]~E(x103947,x103944)+~E(x103948,x103945)+~P108(x103941)+~P70(x103942)+~E(f326(x103943,f610(x103946,x103943,x103948,x103945,x103947,x103944,x103941,x103942)),f326(x103946,f610(x103946,x103943,x103948,x103945,x103947,x103944,x103941,x103942)))+E(f326(f326(f8(x103941,x103942),x103943),f326(f301(x103941,x103944),x103945)),f326(f326(f8(x103941,x103942),x103946),f326(f301(x103941,x103947),x103948)))
% 178.51/178.26 [10398]~E(x103984,x103987)+~E(x103985,x103988)+~P108(x103981)+~P70(x103982)+E(f326(f326(f8(x103981,x103982),x103983),f326(f301(x103981,x103984),x103985)),f326(f326(f8(x103981,x103982),x103986),f326(f301(x103981,x103987),x103988)))+P106(f326(f326(f235(x103981),f610(x103983,x103986,x103985,x103988,x103984,x103987,x103981,x103982)),x103985))
% 178.51/178.26 [10035]~P7(x100355,x100359,x100356)+~P7(x100351,x1003510,x100353)+~P11(x100351,x100355,f922(x100352,a910),x100353,x100356,x100358)+~P106(f326(f326(f328(x100355),x100357),x100359))+~P106(f326(f326(f328(x100351),x100354),x1003510))+E(f326(f326(f40(x100351,f922(x100352,a910)),f326(f284(x100351,x100351,x100353),f326(f326(f308(x100351),x100354),f188(f922(x100351,a910))))),f326(f326(f10(f922(x100355,f922(x100352,a910)),f922(x100352,a910),x100351),f326(f40(x100355,f922(x100352,a910)),f326(f284(x100355,x100355,x100356),f326(f326(f308(x100355),x100357),f188(f922(x100355,a910)))))),x100358)),f326(f326(x100358,x100354),x100357))
% 178.51/178.26 [5777]~P109(x57773)+~P12(x57773,x57772)+~P12(x57773,x57771)+E(x57771,x57772)+~E(f326(f172(x57773),x57771),f326(f172(x57773),x57772))+~P106(f326(f137(x57773),x57772))+~P106(f326(f137(x57773),x57771))
% 178.51/178.26 [5101]~P131(x51012)+~P133(x51012)+~P143(x51012)+~P116(x51012)+~E(x51013,f2(x51012))+E(x51011,f2(a914))+E(f326(f326(f243(x51012),x51013),x51011),f2(x51012))
% 178.51/178.26 [9323]E(x93231,f2(a914))+~E(x93232,f326(f326(f79(a914),f326(f326(f80(a914),f326(f250(a914,a914),x93233)),x93231)),f326(f255(a914,a914),x93233)))+P106(f326(f48(x93232,x93231),x93233))+~P106(f326(f326(f234(a914),f326(f255(a914,a914),x93233)),f2(a914)))+~P106(f326(f326(f234(a914),f2(a914)),f326(f255(a914,a914),x93233)))+~P106(f326(f326(f235(a914),x93231),f326(f255(a914,a914),x93233)))+~P106(f326(f326(f235(a914),f326(f255(a914,a914),x93233)),x93231))
% 178.51/178.26 [9331]~E(f326(f250(a914,a914),x93313),f2(a914))+~E(x93311,f326(f326(f79(a914),f326(f326(f80(a914),f326(f250(a914,a914),x93313)),x93312)),f326(f255(a914,a914),x93313)))+P106(f326(f48(x93311,x93312),x93313))+~P106(f326(f326(f234(a914),f326(f255(a914,a914),x93313)),f2(a914)))+~P106(f326(f326(f234(a914),f2(a914)),f326(f255(a914,a914),x93313)))+~P106(f326(f326(f235(a914),x93312),f326(f255(a914,a914),x93313)))+~P106(f326(f326(f235(a914),f326(f255(a914,a914),x93313)),x93312))
% 178.51/178.26 [8185]~P68(x81852)+E(x81851,f188(f922(x81852,a910)))+E(x81853,f188(f922(x81852,a910)))+~P106(f326(f61(x81852),x81851))+~P106(f326(f61(x81852),x81853))+~E(f326(f326(f101(f922(x81852,a910)),x81853),x81851),f188(f922(x81852,a910)))+E(f326(f326(f80(x81852),f326(f63(x81852,f80(x81852)),x81853)),f326(f63(x81852,f80(x81852)),x81851)),f326(f63(x81852,f80(x81852)),f326(f326(f110(f922(x81852,a910)),x81853),x81851)))
% 178.51/178.26 [7973]E(x79731,f2(a1))+E(f326(f326(f36(a1),x79732),x79731),x79733)+~P106(f326(f326(f234(a1),x79734),f2(a1)))+~E(x79732,f326(f326(f79(a1),f326(f326(f80(a1),x79731),x79733)),x79734))+~P106(f326(f326(f234(a1),f2(a1)),x79734))+~P106(f326(f326(f235(a1),x79734),x79731))+~P106(f326(f326(f235(a1),x79731),x79734))
% 178.51/178.26 [7981]E(f45(a1,x79812,x79811),x79813)+E(x79811,f2(a1))+~P106(f326(f326(f234(a1),x79813),f2(a1)))+~E(x79812,f326(f326(f79(a1),f326(f326(f80(a1),x79811),x79814)),x79813))+~P106(f326(f326(f234(a1),f2(a1)),x79813))+~P106(f326(f326(f235(a1),x79813),x79811))+~P106(f326(f326(f235(a1),x79811),x79813))
% 178.51/178.26 [7888]~P17(x78882,x78885,x78884)+E(x78881,f188(f922(x78882,a910)))+E(x78883,f188(f922(x78882,a910)))+~P106(f326(f61(x78882),x78881))+~P106(f326(f61(x78882),x78883))+~E(f326(f326(f101(f922(x78882,a910)),x78883),x78881),f188(f922(x78882,a910)))+E(f326(x78884,f326(f326(f110(f922(x78882,a910)),x78883),x78881)),f326(f326(x78885,f326(x78884,x78883)),f326(x78884,x78881)))
% 178.51/178.26 [9569]~P24(x95693,x95691,x95695,x95694)+~P24(x95691,x95693,x95696,x95692)+E(f326(f35(x95691),x95692),f326(f35(x95693),x95694))+~P106(f326(f61(x95693),x95694))+~P106(f326(f61(x95691),x95692))+~P106(f326(f326(f234(f922(x95693,a910)),f326(f309(x95691,x95693,x95696),x95692)),x95694))+~P106(f326(f326(f234(f922(x95691,a910)),f326(f309(x95693,x95691,x95695),x95694)),x95692))
% 178.51/178.26 [9513]~P106(f326(f326(f235(a1),f326(f326(f79(a1),f326(f326(f80(a1),x95135),x95131)),x95136)),f2(a1)))+~E(f326(f326(f79(a1),f326(f326(f80(a1),x95133),x95132)),x95134),f326(f326(f79(a1),f326(f326(f80(a1),x95135),x95131)),x95136))+~P106(f326(f326(f234(a1),f2(a1)),x95136))+~P106(f326(f326(f235(a1),f2(a1)),x95135))+~P106(f326(f326(f234(a1),x95135),x95133))+~P106(f326(f326(f235(a1),x95134),x95133))+P106(f326(f326(f234(a1),x95131),x95132))
% 178.51/178.26 [9274]~E(f326(f326(f79(a1),f326(f326(f80(a1),x92743),x92741)),x92744),f326(f326(f79(a1),f326(f326(f80(a1),x92745),x92742)),x92746))+~P106(f326(f326(f234(a1),f2(a1)),x92744))+~P106(f326(f326(f235(a1),f2(a1)),x92745))+~P106(f326(f326(f234(a1),x92745),x92743))+~P106(f326(f326(f235(a1),x92746),x92745))+P106(f326(f326(f234(a1),x92741),x92742))+~P106(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),f326(f326(f80(a1),x92745),x92742)),x92746)))
% 178.51/178.26 [9453]~P130(x94531)+~E(f326(f326(f79(x94531),x94532),x94534),f77(x94531))+~P106(f326(f326(f234(x94531),x94535),x94536))+~P106(f326(f326(f234(x94531),x94533),x94536))+~P106(f326(f326(f234(x94531),f2(x94531)),x94534))+~P106(f326(f326(f234(x94531),f2(x94531)),x94532))+P106(f326(f326(f234(x94531),f326(f326(f79(x94531),f326(f326(f80(x94531),x94532),x94533)),f326(f326(f80(x94531),x94534),x94535))),x94536))
% 178.51/178.26 [9454]~P128(x94541)+~E(f326(f326(f79(x94541),x94542),x94544),f77(x94541))+~P106(f326(f326(f234(x94541),f2(x94541)),x94544))+~P106(f326(f326(f234(x94541),f2(x94541)),x94542))+~P106(f326(f326(f235(x94541),x94545),x94546))+~P106(f326(f326(f235(x94541),x94543),x94546))+P106(f326(f326(f235(x94541),f326(f326(f79(x94541),f326(f326(f80(x94541),x94542),x94543)),f326(f326(f80(x94541),x94544),x94545))),x94546))
% 178.51/178.26 [10279]~P7(x102797,x102796,x102795)+E(x102791,x102792)+~P10(x102797,f922(x102794,a910),x102795,x102793)+E(f326(x102793,f515(x102791,x102792,x102793,x102794,x102795,x102796,x102797)),f326(x102793,f516(x102791,x102792,x102793,x102794,x102795,x102796,x102797)))+~E(f326(f326(f40(x102797,f922(x102794,a910)),x102791),x102793),f326(f326(f40(x102797,f922(x102794,a910)),x102792),x102793))+~P106(f326(f326(f328(f922(x102797,a910)),x102792),f326(f326(f60(x102797),x102796),x102795)))+~P106(f326(f326(f328(f922(x102797,a910)),x102791),f326(f326(f60(x102797),x102796),x102795)))
% 178.51/178.26 [10330]~P7(x103303,x103307,x103306)+E(x103301,x103302)+~P10(x103303,f922(x103305,a910),x103306,x103304)+~E(f326(f326(f40(x103303,f922(x103305,a910)),x103301),x103304),f326(f326(f40(x103303,f922(x103305,a910)),x103302),x103304))+P106(f326(f326(f328(x103303),f516(x103301,x103302,x103304,x103305,x103306,x103307,x103303)),x103307))+~P106(f326(f326(f328(f922(x103303,a910)),x103302),f326(f326(f60(x103303),x103307),x103306)))+~P106(f326(f326(f328(f922(x103303,a910)),x103301),f326(f326(f60(x103303),x103307),x103306)))
% 178.51/178.26 [10331]~P7(x103313,x103317,x103316)+E(x103311,x103312)+~P10(x103313,f922(x103315,a910),x103316,x103314)+~E(f326(f326(f40(x103313,f922(x103315,a910)),x103311),x103314),f326(f326(f40(x103313,f922(x103315,a910)),x103312),x103314))+P106(f326(f326(f328(x103313),f515(x103311,x103312,x103314,x103315,x103316,x103317,x103313)),x103317))+~P106(f326(f326(f328(f922(x103313,a910)),x103312),f326(f326(f60(x103313),x103317),x103316)))+~P106(f326(f326(f328(f922(x103313,a910)),x103311),f326(f326(f60(x103313),x103317),x103316)))
% 178.51/178.26 [10414]E(x104141,x104142)+~P7(x104143,x104146,x104147)+~P10(x104143,f922(x104144,a910),x104147,x104145)+~E(f326(f326(f40(x104143,f922(x104144,a910)),x104141),x104145),f326(f326(f40(x104143,f922(x104144,a910)),x104142),x104145))+~P106(f326(f326(f328(f921(x104143,x104143)),f326(f326(f251(x104143,x104143),f516(x104141,x104142,x104145,x104144,x104147,x104146,x104143)),f515(x104141,x104142,x104145,x104144,x104147,x104146,x104143))),x104147))+~P106(f326(f326(f328(f922(x104143,a910)),x104142),f326(f326(f60(x104143),x104146),x104147)))+~P106(f326(f326(f328(f922(x104143,a910)),x104141),f326(f326(f60(x104143),x104146),x104147)))
% 178.51/178.26 [9273]~P7(x92731,x92737,x92734)+~E(x92735,x92736)+~P106(f326(f326(f328(x92731),x92733),x92736))+~P106(f326(f326(f328(x92731),x92732),x92735))+~P106(f326(f326(f328(f922(x92731,a910)),x92736),f326(f326(f60(x92731),x92737),x92734)))+~P106(f326(f326(f328(f922(x92731,a910)),x92735),f326(f326(f60(x92731),x92737),x92734)))+P106(f326(f326(f328(f921(x92731,x92731)),f326(f326(f251(x92731,x92731),x92732),x92733)),x92734))
% 178.51/178.26 [9410]E(x94101,x94102)+~P7(x94103,x94104,x94105)+~P106(f326(f326(f328(x94103),x94106),x94102))+~P106(f326(f326(f328(x94103),x94107),x94101))+~P106(f326(f326(f328(f922(x94103,a910)),x94102),f326(f326(f60(x94103),x94104),x94105)))+~P106(f326(f326(f328(f922(x94103,a910)),x94101),f326(f326(f60(x94103),x94104),x94105)))+~P106(f326(f326(f328(f921(x94103,x94103)),f326(f326(f251(x94103,x94103),x94107),x94106)),x94105))
% 178.51/178.26 [10441]~P7(x104419,x104418,x104417)+~P7(x104411,x1044111,x1044110)+~P11(x104411,x104419,f922(x104416,a910),x1044110,x104417,x104415)+P106(f326(f326(f328(x104411),f518(x104412,x104413,x104414,x104415,x104416,x104417,x104418,x104419,x1044110,x1044111,x104411)),x1044111))+~P106(f326(f326(f328(f922(x104419,a910)),x104413),f326(f326(f60(x104419),x104418),x104417)))+~P106(f326(f326(f328(f922(x104411,a910)),x104414),f326(f326(f60(x104411),x1044111),x1044110)))+P106(f326(f326(f328(f922(x104416,a910)),f326(f326(f40(x104411,f922(x104416,a910)),x104414),f326(f326(f10(f922(x104419,f922(x104416,a910)),f922(x104416,a910),x104411),f326(f40(x104419,f922(x104416,a910)),x104413)),x104415))),x104412))
% 178.51/178.26 [10442]~P7(x1044211,x1044210,x104429)+~P7(x104421,x104428,x104427)+~P11(x1044211,x104421,f922(x104426,a910),x104429,x104427,x104425)+P106(f326(f326(f328(x104421),f519(x104422,x104423,x104424,x104425,x104426,x104427,x104428,x104421,x104429,x1044210,x1044211)),x104428))+~P106(f326(f326(f328(f922(x1044211,a910)),x104424),f326(f326(f60(x1044211),x1044210),x104429)))+~P106(f326(f326(f328(f922(x104421,a910)),x104423),f326(f326(f60(x104421),x104428),x104427)))+P106(f326(f326(f328(f922(x104426,a910)),f326(f326(f40(x1044211,f922(x104426,a910)),x104424),f326(f326(f10(f922(x104421,f922(x104426,a910)),f922(x104426,a910),x1044211),f326(f40(x104421,f922(x104426,a910)),x104423)),x104425))),x104422))
% 178.51/178.26 [10445]~P7(x104452,x104458,x104459)+~P7(x104454,x1044510,x1044511)+~P11(x104452,x104454,f922(x104451,a910),x104459,x1044511,x104456)+~P106(f326(f326(f328(f922(x104452,a910)),x104453),f326(f326(f60(x104452),x104458),x104459)))+~P106(f326(f326(f328(f922(x104454,a910)),x104455),f326(f326(f60(x104454),x1044510),x1044511)))+~P106(f326(f326(f328(f922(x104451,a910)),f326(f326(x104456,f518(x104457,x104455,x104453,x104456,x104451,x1044511,x1044510,x104454,x104459,x104458,x104452)),f519(x104457,x104455,x104453,x104456,x104451,x1044511,x1044510,x104454,x104459,x104458,x104452))),x104457))+P106(f326(f326(f328(f922(x104451,a910)),f326(f326(f40(x104452,f922(x104451,a910)),x104453),f326(f326(f10(f922(x104454,f922(x104451,a910)),f922(x104451,a910),x104452),f326(f40(x104454,f922(x104451,a910)),x104455)),x104456))),x104457))
% 178.51/178.26 [9309]E(x93091,x93092)+~P109(x93094)+~P24(x93093,x93094,x93095,f326(f326(f110(f922(x93093,a910)),f326(f172(x93093),x93091)),f326(f172(x93093),x93092)))+~E(f326(f172(x93093),x93091),f326(f172(x93093),x93092))+~P12(x93094,f326(f326(f154(x93093,x93094),x93095),x93092))+~P12(x93094,f326(f326(f154(x93093,x93094),x93095),x93091))+~P106(f326(f137(x93094),f326(f326(f154(x93093,x93094),x93095),x93092)))+~P106(f326(f137(x93094),f326(f326(f154(x93093,x93094),x93095),x93091)))
% 178.51/178.26 %EqnAxiom
% 178.51/178.26 [1]E(x11,x11)
% 178.51/178.26 [2]E(x22,x21)+~E(x21,x22)
% 178.51/178.26 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 178.51/178.26 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 178.51/178.26 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 178.51/178.26 [6]~E(x61,x62)+E(f100(x61),f100(x62))
% 178.51/178.26 [7]~E(x71,x72)+E(f188(x71),f188(x72))
% 178.51/178.26 [8]~E(x81,x82)+E(f326(x81,x83),f326(x82,x83))
% 178.51/178.26 [9]~E(x91,x92)+E(f326(x93,x91),f326(x93,x92))
% 178.51/178.26 [10]~E(x101,x102)+E(f28(x101),f28(x102))
% 178.51/178.26 [11]~E(x111,x112)+E(f328(x111),f328(x112))
% 178.51/178.26 [12]~E(x121,x122)+E(f101(x121),f101(x122))
% 178.51/178.26 [13]~E(x131,x132)+E(f232(x131),f232(x132))
% 178.51/178.26 [14]~E(x141,x142)+E(f110(x141),f110(x142))
% 178.51/178.26 [15]~E(x151,x152)+E(f233(x151),f233(x152))
% 178.51/178.26 [16]~E(x161,x162)+E(f102(x161),f102(x162))
% 178.51/178.26 [17]~E(x171,x172)+E(f31(x171),f31(x172))
% 178.51/178.26 [18]~E(x181,x182)+E(f83(x181),f83(x182))
% 178.51/178.26 [19]~E(x191,x192)+E(f922(x191,x193),f922(x192,x193))
% 178.51/178.26 [20]~E(x201,x202)+E(f922(x203,x201),f922(x203,x202))
% 178.51/178.26 [21]~E(x211,x212)+E(f79(x211),f79(x212))
% 178.51/178.26 [22]~E(x221,x222)+E(f519(x221,x223,x224,x225,x226,x227,x228,x229,x2210,x2211,x2212),f519(x222,x223,x224,x225,x226,x227,x228,x229,x2210,x2211,x2212))
% 178.51/178.26 [23]~E(x231,x232)+E(f519(x233,x231,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312),f519(x233,x232,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312))
% 178.51/178.26 [24]~E(x241,x242)+E(f519(x243,x244,x241,x245,x246,x247,x248,x249,x2410,x2411,x2412),f519(x243,x244,x242,x245,x246,x247,x248,x249,x2410,x2411,x2412))
% 178.51/178.26 [25]~E(x251,x252)+E(f519(x253,x254,x255,x251,x256,x257,x258,x259,x2510,x2511,x2512),f519(x253,x254,x255,x252,x256,x257,x258,x259,x2510,x2511,x2512))
% 178.51/178.26 [26]~E(x261,x262)+E(f519(x263,x264,x265,x266,x261,x267,x268,x269,x2610,x2611,x2612),f519(x263,x264,x265,x266,x262,x267,x268,x269,x2610,x2611,x2612))
% 178.51/178.26 [27]~E(x271,x272)+E(f519(x273,x274,x275,x276,x277,x271,x278,x279,x2710,x2711,x2712),f519(x273,x274,x275,x276,x277,x272,x278,x279,x2710,x2711,x2712))
% 178.51/178.26 [28]~E(x281,x282)+E(f519(x283,x284,x285,x286,x287,x288,x281,x289,x2810,x2811,x2812),f519(x283,x284,x285,x286,x287,x288,x282,x289,x2810,x2811,x2812))
% 178.51/178.26 [29]~E(x291,x292)+E(f519(x293,x294,x295,x296,x297,x298,x299,x291,x2910,x2911,x2912),f519(x293,x294,x295,x296,x297,x298,x299,x292,x2910,x2911,x2912))
% 178.51/178.26 [30]~E(x301,x302)+E(f519(x303,x304,x305,x306,x307,x308,x309,x3010,x301,x3011,x3012),f519(x303,x304,x305,x306,x307,x308,x309,x3010,x302,x3011,x3012))
% 178.51/178.26 [31]~E(x311,x312)+E(f519(x313,x314,x315,x316,x317,x318,x319,x3110,x3111,x311,x3112),f519(x313,x314,x315,x316,x317,x318,x319,x3110,x3111,x312,x3112))
% 178.51/178.26 [32]~E(x321,x322)+E(f519(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x3212,x321),f519(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x3212,x322))
% 178.51/178.26 [33]~E(x331,x332)+E(f77(x331),f77(x332))
% 178.51/178.26 [34]~E(x341,x342)+E(f9(x341,x343,x344),f9(x342,x343,x344))
% 178.51/178.26 [35]~E(x351,x352)+E(f9(x353,x351,x354),f9(x353,x352,x354))
% 178.51/178.26 [36]~E(x361,x362)+E(f9(x363,x364,x361),f9(x363,x364,x362))
% 178.51/178.26 [37]~E(x371,x372)+E(f518(x371,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712),f518(x372,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712))
% 178.51/178.26 [38]~E(x381,x382)+E(f518(x383,x381,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812),f518(x383,x382,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812))
% 178.51/178.26 [39]~E(x391,x392)+E(f518(x393,x394,x391,x395,x396,x397,x398,x399,x3910,x3911,x3912),f518(x393,x394,x392,x395,x396,x397,x398,x399,x3910,x3911,x3912))
% 178.51/178.26 [40]~E(x401,x402)+E(f518(x403,x404,x405,x401,x406,x407,x408,x409,x4010,x4011,x4012),f518(x403,x404,x405,x402,x406,x407,x408,x409,x4010,x4011,x4012))
% 178.51/178.26 [41]~E(x411,x412)+E(f518(x413,x414,x415,x416,x411,x417,x418,x419,x4110,x4111,x4112),f518(x413,x414,x415,x416,x412,x417,x418,x419,x4110,x4111,x4112))
% 178.51/178.26 [42]~E(x421,x422)+E(f518(x423,x424,x425,x426,x427,x421,x428,x429,x4210,x4211,x4212),f518(x423,x424,x425,x426,x427,x422,x428,x429,x4210,x4211,x4212))
% 178.51/178.26 [43]~E(x431,x432)+E(f518(x433,x434,x435,x436,x437,x438,x431,x439,x4310,x4311,x4312),f518(x433,x434,x435,x436,x437,x438,x432,x439,x4310,x4311,x4312))
% 178.51/178.26 [44]~E(x441,x442)+E(f518(x443,x444,x445,x446,x447,x448,x449,x441,x4410,x4411,x4412),f518(x443,x444,x445,x446,x447,x448,x449,x442,x4410,x4411,x4412))
% 178.51/178.26 [45]~E(x451,x452)+E(f518(x453,x454,x455,x456,x457,x458,x459,x4510,x451,x4511,x4512),f518(x453,x454,x455,x456,x457,x458,x459,x4510,x452,x4511,x4512))
% 178.51/178.26 [46]~E(x461,x462)+E(f518(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x461,x4612),f518(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x462,x4612))
% 178.51/178.26 [47]~E(x471,x472)+E(f518(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x471),f518(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x472))
% 178.51/178.26 [48]~E(x481,x482)+E(f6(x481),f6(x482))
% 178.51/178.26 [49]~E(x491,x492)+E(f14(x491,x493,x494),f14(x492,x493,x494))
% 178.51/178.26 [50]~E(x501,x502)+E(f14(x503,x501,x504),f14(x503,x502,x504))
% 178.51/178.26 [51]~E(x511,x512)+E(f14(x513,x514,x511),f14(x513,x514,x512))
% 178.51/178.26 [52]~E(x521,x522)+E(f301(x521,x523),f301(x522,x523))
% 178.51/178.26 [53]~E(x531,x532)+E(f301(x533,x531),f301(x533,x532))
% 178.51/178.26 [54]~E(x541,x542)+E(f111(x541),f111(x542))
% 178.51/178.26 [55]~E(x551,x552)+E(f235(x551),f235(x552))
% 178.51/178.26 [56]~E(x561,x562)+E(f913(x561),f913(x562))
% 178.51/178.26 [57]~E(x571,x572)+E(f918(x571),f918(x572))
% 178.51/178.26 [58]~E(x581,x582)+E(f915(x581),f915(x582))
% 178.51/178.26 [59]~E(x591,x592)+E(f916(x591),f916(x592))
% 178.51/178.26 [60]~E(x601,x602)+E(f78(x601),f78(x602))
% 178.51/178.26 [61]~E(x611,x612)+E(f234(x611),f234(x612))
% 178.51/178.26 [62]~E(x621,x622)+E(f189(x621),f189(x622))
% 178.51/178.26 [63]~E(x631,x632)+E(f10(x631,x633,x634),f10(x632,x633,x634))
% 178.51/178.26 [64]~E(x641,x642)+E(f10(x643,x641,x644),f10(x643,x642,x644))
% 178.51/178.26 [65]~E(x651,x652)+E(f10(x653,x654,x651),f10(x653,x654,x652))
% 178.51/178.26 [66]~E(x661,x662)+E(f103(x661),f103(x662))
% 178.51/178.26 [67]~E(x671,x672)+E(f921(x671,x673),f921(x672,x673))
% 178.51/178.26 [68]~E(x681,x682)+E(f921(x683,x681),f921(x683,x682))
% 178.51/178.26 [69]~E(x691,x692)+E(f309(x691,x693,x694),f309(x692,x693,x694))
% 178.51/178.26 [70]~E(x701,x702)+E(f309(x703,x701,x704),f309(x703,x702,x704))
% 178.51/178.26 [71]~E(x711,x712)+E(f309(x713,x714,x711),f309(x713,x714,x712))
% 178.51/178.26 [72]~E(x721,x722)+E(f286(x721),f286(x722))
% 178.51/178.26 [73]~E(x731,x732)+E(f134(x731),f134(x732))
% 178.51/178.26 [74]~E(x741,x742)+E(f289(x741),f289(x742))
% 178.51/178.26 [75]~E(x751,x752)+E(f20(x751,x753,x754),f20(x752,x753,x754))
% 178.51/178.26 [76]~E(x761,x762)+E(f20(x763,x761,x764),f20(x763,x762,x764))
% 178.51/178.26 [77]~E(x771,x772)+E(f20(x773,x774,x771),f20(x773,x774,x772))
% 178.51/178.26 [78]~E(x781,x782)+E(f142(x781,x783,x784,x785),f142(x782,x783,x784,x785))
% 178.51/178.26 [79]~E(x791,x792)+E(f142(x793,x791,x794,x795),f142(x793,x792,x794,x795))
% 178.51/178.26 [80]~E(x801,x802)+E(f142(x803,x804,x801,x805),f142(x803,x804,x802,x805))
% 178.51/178.26 [81]~E(x811,x812)+E(f142(x813,x814,x815,x811),f142(x813,x814,x815,x812))
% 178.51/178.26 [82]~E(x821,x822)+E(f243(x821),f243(x822))
% 178.51/178.26 [83]~E(x831,x832)+E(f80(x831),f80(x832))
% 178.51/178.26 [84]~E(x841,x842)+E(f40(x841,x843),f40(x842,x843))
% 178.51/178.26 [85]~E(x851,x852)+E(f40(x853,x851),f40(x853,x852))
% 178.51/178.26 [86]~E(x861,x862)+E(f37(x861,x863),f37(x862,x863))
% 178.51/178.26 [87]~E(x871,x872)+E(f37(x873,x871),f37(x873,x872))
% 178.51/178.26 [88]~E(x881,x882)+E(f11(x881,x883),f11(x882,x883))
% 178.51/178.26 [89]~E(x891,x892)+E(f11(x893,x891),f11(x893,x892))
% 178.51/178.26 [90]~E(x901,x902)+E(f60(x901),f60(x902))
% 178.51/178.26 [91]~E(x911,x912)+E(f86(x911),f86(x912))
% 178.51/178.26 [92]~E(x921,x922)+E(f8(x921,x923),f8(x922,x923))
% 178.51/178.26 [93]~E(x931,x932)+E(f8(x933,x931),f8(x933,x932))
% 178.51/178.26 [94]~E(x941,x942)+E(f36(x941),f36(x942))
% 178.51/178.26 [95]~E(x951,x952)+E(f35(x951),f35(x952))
% 178.51/178.26 [96]~E(x961,x962)+E(f251(x961,x963),f251(x962,x963))
% 178.51/178.26 [97]~E(x971,x972)+E(f251(x973,x971),f251(x973,x972))
% 178.51/178.26 [98]~E(x981,x982)+E(f314(x981,x983),f314(x982,x983))
% 178.51/178.26 [99]~E(x991,x992)+E(f314(x993,x991),f314(x993,x992))
% 178.51/178.26 [100]~E(x1001,x1002)+E(f295(x1001,x1003,x1004,x1005),f295(x1002,x1003,x1004,x1005))
% 178.51/178.26 [101]~E(x1011,x1012)+E(f295(x1013,x1011,x1014,x1015),f295(x1013,x1012,x1014,x1015))
% 178.51/178.26 [102]~E(x1021,x1022)+E(f295(x1023,x1024,x1021,x1025),f295(x1023,x1024,x1022,x1025))
% 178.51/178.26 [103]~E(x1031,x1032)+E(f295(x1033,x1034,x1035,x1031),f295(x1033,x1034,x1035,x1032))
% 178.51/178.26 [104]~E(x1041,x1042)+E(f45(x1041,x1043,x1044),f45(x1042,x1043,x1044))
% 178.51/178.26 [105]~E(x1051,x1052)+E(f45(x1053,x1051,x1054),f45(x1053,x1052,x1054))
% 178.51/178.26 [106]~E(x1061,x1062)+E(f45(x1063,x1064,x1061),f45(x1063,x1064,x1062))
% 178.51/178.26 [107]~E(x1071,x1072)+E(f39(x1071,x1073),f39(x1072,x1073))
% 178.51/178.26 [108]~E(x1081,x1082)+E(f39(x1083,x1081),f39(x1083,x1082))
% 178.51/178.26 [109]~E(x1091,x1092)+E(f306(x1091,x1093),f306(x1092,x1093))
% 178.51/178.26 [110]~E(x1101,x1102)+E(f306(x1103,x1101),f306(x1103,x1102))
% 178.51/178.26 [111]~E(x1111,x1112)+E(f859(x1111,x1113,x1114),f859(x1112,x1113,x1114))
% 178.51/178.26 [112]~E(x1121,x1122)+E(f859(x1123,x1121,x1124),f859(x1123,x1122,x1124))
% 178.51/178.26 [113]~E(x1131,x1132)+E(f859(x1133,x1134,x1131),f859(x1133,x1134,x1132))
% 178.51/178.26 [114]~E(x1141,x1142)+E(f313(x1141),f313(x1142))
% 178.51/178.26 [115]~E(x1151,x1152)+E(f216(x1151,x1153),f216(x1152,x1153))
% 178.51/178.26 [116]~E(x1161,x1162)+E(f216(x1163,x1161),f216(x1163,x1162))
% 178.51/178.26 [117]~E(x1171,x1172)+E(f261(x1171),f261(x1172))
% 178.51/178.26 [118]~E(x1181,x1182)+E(f350(x1181,x1183),f350(x1182,x1183))
% 178.51/178.26 [119]~E(x1191,x1192)+E(f350(x1193,x1191),f350(x1193,x1192))
% 178.51/178.26 [120]~E(x1201,x1202)+E(f113(x1201),f113(x1202))
% 178.51/178.26 [121]~E(x1211,x1212)+E(f136(x1211,x1213),f136(x1212,x1213))
% 178.51/178.26 [122]~E(x1221,x1222)+E(f136(x1223,x1221),f136(x1223,x1222))
% 178.51/178.26 [123]~E(x1231,x1232)+E(f12(x1231,x1233),f12(x1232,x1233))
% 178.51/178.26 [124]~E(x1241,x1242)+E(f12(x1243,x1241),f12(x1243,x1242))
% 178.51/178.26 [125]~E(x1251,x1252)+E(f169(x1251,x1253,x1254),f169(x1252,x1253,x1254))
% 178.51/178.26 [126]~E(x1261,x1262)+E(f169(x1263,x1261,x1264),f169(x1263,x1262,x1264))
% 178.51/178.26 [127]~E(x1271,x1272)+E(f169(x1273,x1274,x1271),f169(x1273,x1274,x1272))
% 178.51/178.26 [128]~E(x1281,x1282)+E(f138(x1281),f138(x1282))
% 178.51/178.26 [129]~E(x1291,x1292)+E(f256(x1291,x1293,x1294),f256(x1292,x1293,x1294))
% 178.51/178.26 [130]~E(x1301,x1302)+E(f256(x1303,x1301,x1304),f256(x1303,x1302,x1304))
% 178.51/178.26 [131]~E(x1311,x1312)+E(f256(x1313,x1314,x1311),f256(x1313,x1314,x1312))
% 178.51/178.26 [132]~E(x1321,x1322)+E(f346(x1321,x1323,x1324,x1325),f346(x1322,x1323,x1324,x1325))
% 178.51/178.26 [133]~E(x1331,x1332)+E(f346(x1333,x1331,x1334,x1335),f346(x1333,x1332,x1334,x1335))
% 178.51/178.26 [134]~E(x1341,x1342)+E(f346(x1343,x1344,x1341,x1345),f346(x1343,x1344,x1342,x1345))
% 178.51/178.26 [135]~E(x1351,x1352)+E(f346(x1353,x1354,x1355,x1351),f346(x1353,x1354,x1355,x1352))
% 178.51/178.26 [136]~E(x1361,x1362)+E(f7(x1361),f7(x1362))
% 178.51/178.26 [137]~E(x1371,x1372)+E(f860(x1371,x1373,x1374),f860(x1372,x1373,x1374))
% 178.51/178.26 [138]~E(x1381,x1382)+E(f860(x1383,x1381,x1384),f860(x1383,x1382,x1384))
% 178.51/178.26 [139]~E(x1391,x1392)+E(f860(x1393,x1394,x1391),f860(x1393,x1394,x1392))
% 178.51/178.26 [140]~E(x1401,x1402)+E(f255(x1401,x1403),f255(x1402,x1403))
% 178.51/178.26 [141]~E(x1411,x1412)+E(f255(x1413,x1411),f255(x1413,x1412))
% 178.51/178.26 [142]~E(x1421,x1422)+E(f18(x1421,x1423),f18(x1422,x1423))
% 178.51/178.26 [143]~E(x1431,x1432)+E(f18(x1433,x1431),f18(x1433,x1432))
% 178.51/178.26 [144]~E(x1441,x1442)+E(f61(x1441),f61(x1442))
% 178.51/178.26 [145]~E(x1451,x1452)+E(f105(x1451),f105(x1452))
% 178.51/178.26 [146]~E(x1461,x1462)+E(f107(x1461),f107(x1462))
% 178.51/178.26 [147]~E(x1471,x1472)+E(f327(x1471),f327(x1472))
% 178.51/178.26 [148]~E(x1481,x1482)+E(f281(x1481),f281(x1482))
% 178.51/178.26 [149]~E(x1491,x1492)+E(f579(x1491),f579(x1492))
% 178.51/178.26 [150]~E(x1501,x1502)+E(f72(x1501,x1503,x1504,x1505),f72(x1502,x1503,x1504,x1505))
% 178.51/178.26 [151]~E(x1511,x1512)+E(f72(x1513,x1511,x1514,x1515),f72(x1513,x1512,x1514,x1515))
% 178.51/178.26 [152]~E(x1521,x1522)+E(f72(x1523,x1524,x1521,x1525),f72(x1523,x1524,x1522,x1525))
% 178.51/178.26 [153]~E(x1531,x1532)+E(f72(x1533,x1534,x1535,x1531),f72(x1533,x1534,x1535,x1532))
% 178.51/178.26 [154]~E(x1541,x1542)+E(f258(x1541,x1543,x1544,x1545),f258(x1542,x1543,x1544,x1545))
% 178.51/178.26 [155]~E(x1551,x1552)+E(f258(x1553,x1551,x1554,x1555),f258(x1553,x1552,x1554,x1555))
% 178.51/178.26 [156]~E(x1561,x1562)+E(f258(x1563,x1564,x1561,x1565),f258(x1563,x1564,x1562,x1565))
% 178.51/178.26 [157]~E(x1571,x1572)+E(f258(x1573,x1574,x1575,x1571),f258(x1573,x1574,x1575,x1572))
% 178.51/178.26 [158]~E(x1581,x1582)+E(f240(x1581,x1583),f240(x1582,x1583))
% 178.51/178.26 [159]~E(x1591,x1592)+E(f240(x1593,x1591),f240(x1593,x1592))
% 178.51/178.26 [160]~E(x1601,x1602)+E(f315(x1601,x1603),f315(x1602,x1603))
% 178.51/178.26 [161]~E(x1611,x1612)+E(f315(x1613,x1611),f315(x1613,x1612))
% 178.51/178.26 [162]~E(x1621,x1622)+E(f151(x1621),f151(x1622))
% 178.51/178.26 [163]~E(x1631,x1632)+E(f174(x1631,x1633,x1634),f174(x1632,x1633,x1634))
% 178.51/178.26 [164]~E(x1641,x1642)+E(f174(x1643,x1641,x1644),f174(x1643,x1642,x1644))
% 178.51/178.26 [165]~E(x1651,x1652)+E(f174(x1653,x1654,x1651),f174(x1653,x1654,x1652))
% 178.51/178.26 [166]~E(x1661,x1662)+E(f137(x1661),f137(x1662))
% 178.51/178.26 [167]~E(x1671,x1672)+E(f241(x1671),f241(x1672))
% 178.51/178.26 [168]~E(x1681,x1682)+E(f167(x1681),f167(x1682))
% 178.51/178.26 [169]~E(x1691,x1692)+E(f302(x1691,x1693,x1694),f302(x1692,x1693,x1694))
% 178.51/178.26 [170]~E(x1701,x1702)+E(f302(x1703,x1701,x1704),f302(x1703,x1702,x1704))
% 178.51/178.26 [171]~E(x1711,x1712)+E(f302(x1713,x1714,x1711),f302(x1713,x1714,x1712))
% 178.51/178.26 [172]~E(x1721,x1722)+E(f63(x1721,x1723),f63(x1722,x1723))
% 178.51/178.26 [173]~E(x1731,x1732)+E(f63(x1733,x1731),f63(x1733,x1732))
% 178.51/178.26 [174]~E(x1741,x1742)+E(f154(x1741,x1743),f154(x1742,x1743))
% 178.51/178.26 [175]~E(x1751,x1752)+E(f154(x1753,x1751),f154(x1753,x1752))
% 178.51/178.26 [176]~E(x1761,x1762)+E(f308(x1761),f308(x1762))
% 178.51/178.26 [177]~E(x1771,x1772)+E(f250(x1771,x1773),f250(x1772,x1773))
% 178.51/178.26 [178]~E(x1781,x1782)+E(f250(x1783,x1781),f250(x1783,x1782))
% 178.51/178.26 [179]~E(x1791,x1792)+E(f218(x1791,x1793),f218(x1792,x1793))
% 178.51/178.26 [180]~E(x1801,x1802)+E(f218(x1803,x1801),f218(x1803,x1802))
% 178.51/178.26 [181]~E(x1811,x1812)+E(f128(x1811,x1813),f128(x1812,x1813))
% 178.51/178.26 [182]~E(x1821,x1822)+E(f128(x1823,x1821),f128(x1823,x1822))
% 178.51/178.26 [183]~E(x1831,x1832)+E(f310(x1831,x1833,x1834),f310(x1832,x1833,x1834))
% 178.51/178.26 [184]~E(x1841,x1842)+E(f310(x1843,x1841,x1844),f310(x1843,x1842,x1844))
% 178.51/178.26 [185]~E(x1851,x1852)+E(f310(x1853,x1854,x1851),f310(x1853,x1854,x1852))
% 178.51/178.26 [186]~E(x1861,x1862)+E(f387(x1861,x1863,x1864),f387(x1862,x1863,x1864))
% 178.51/178.26 [187]~E(x1871,x1872)+E(f387(x1873,x1871,x1874),f387(x1873,x1872,x1874))
% 178.51/178.26 [188]~E(x1881,x1882)+E(f387(x1883,x1884,x1881),f387(x1883,x1884,x1882))
% 178.51/178.26 [189]~E(x1891,x1892)+E(f168(x1891),f168(x1892))
% 178.51/178.26 [190]~E(x1901,x1902)+E(f74(x1901,x1903,x1904,x1905,x1906),f74(x1902,x1903,x1904,x1905,x1906))
% 178.51/178.26 [191]~E(x1911,x1912)+E(f74(x1913,x1911,x1914,x1915,x1916),f74(x1913,x1912,x1914,x1915,x1916))
% 178.51/178.26 [192]~E(x1921,x1922)+E(f74(x1923,x1924,x1921,x1925,x1926),f74(x1923,x1924,x1922,x1925,x1926))
% 178.51/178.26 [193]~E(x1931,x1932)+E(f74(x1933,x1934,x1935,x1931,x1936),f74(x1933,x1934,x1935,x1932,x1936))
% 178.51/178.26 [194]~E(x1941,x1942)+E(f74(x1943,x1944,x1945,x1946,x1941),f74(x1943,x1944,x1945,x1946,x1942))
% 178.51/178.26 [195]~E(x1951,x1952)+E(f89(x1951,x1953),f89(x1952,x1953))
% 178.51/178.26 [196]~E(x1961,x1962)+E(f89(x1963,x1961),f89(x1963,x1962))
% 178.51/178.26 [197]~E(x1971,x1972)+E(f360(x1971,x1973,x1974,x1975),f360(x1972,x1973,x1974,x1975))
% 178.51/178.26 [198]~E(x1981,x1982)+E(f360(x1983,x1981,x1984,x1985),f360(x1983,x1982,x1984,x1985))
% 178.51/178.26 [199]~E(x1991,x1992)+E(f360(x1993,x1994,x1991,x1995),f360(x1993,x1994,x1992,x1995))
% 178.51/178.26 [200]~E(x2001,x2002)+E(f360(x2003,x2004,x2005,x2001),f360(x2003,x2004,x2005,x2002))
% 178.51/178.26 [201]~E(x2011,x2012)+E(f857(x2011,x2013,x2014),f857(x2012,x2013,x2014))
% 178.51/178.26 [202]~E(x2021,x2022)+E(f857(x2023,x2021,x2024),f857(x2023,x2022,x2024))
% 178.51/178.26 [203]~E(x2031,x2032)+E(f857(x2033,x2034,x2031),f857(x2033,x2034,x2032))
% 178.51/178.26 [204]~E(x2041,x2042)+E(f172(x2041),f172(x2042))
% 178.51/178.26 [205]~E(x2051,x2052)+E(f159(x2051,x2053),f159(x2052,x2053))
% 178.51/178.26 [206]~E(x2061,x2062)+E(f159(x2063,x2061),f159(x2063,x2062))
% 178.51/178.26 [207]~E(x2071,x2072)+E(f253(x2071,x2073),f253(x2072,x2073))
% 178.51/178.26 [208]~E(x2081,x2082)+E(f253(x2083,x2081),f253(x2083,x2082))
% 178.51/178.26 [209]~E(x2091,x2092)+E(f822(x2091,x2093,x2094),f822(x2092,x2093,x2094))
% 178.51/178.26 [210]~E(x2101,x2102)+E(f822(x2103,x2101,x2104),f822(x2103,x2102,x2104))
% 178.51/178.26 [211]~E(x2111,x2112)+E(f822(x2113,x2114,x2111),f822(x2113,x2114,x2112))
% 178.51/178.26 [212]~E(x2121,x2122)+E(f280(x2121),f280(x2122))
% 178.51/178.26 [213]~E(x2131,x2132)+E(f157(x2131,x2133),f157(x2132,x2133))
% 178.51/178.26 [214]~E(x2141,x2142)+E(f157(x2143,x2141),f157(x2143,x2142))
% 178.51/178.26 [215]~E(x2151,x2152)+E(f158(x2151,x2153),f158(x2152,x2153))
% 178.51/178.26 [216]~E(x2161,x2162)+E(f158(x2163,x2161),f158(x2163,x2162))
% 178.51/178.26 [217]~E(x2171,x2172)+E(f38(x2171,x2173),f38(x2172,x2173))
% 178.51/178.26 [218]~E(x2181,x2182)+E(f38(x2183,x2181),f38(x2183,x2182))
% 178.51/178.26 [219]~E(x2191,x2192)+E(f242(x2191,x2193,x2194),f242(x2192,x2193,x2194))
% 178.51/178.26 [220]~E(x2201,x2202)+E(f242(x2203,x2201,x2204),f242(x2203,x2202,x2204))
% 178.51/178.26 [221]~E(x2211,x2212)+E(f242(x2213,x2214,x2211),f242(x2213,x2214,x2212))
% 178.51/178.26 [222]~E(x2221,x2222)+E(f300(x2221),f300(x2222))
% 178.51/178.26 [223]~E(x2231,x2232)+E(f181(x2231,x2233),f181(x2232,x2233))
% 178.51/178.26 [224]~E(x2241,x2242)+E(f181(x2243,x2241),f181(x2243,x2242))
% 178.51/178.26 [225]~E(x2251,x2252)+E(f318(x2251,x2253),f318(x2252,x2253))
% 178.51/178.26 [226]~E(x2261,x2262)+E(f318(x2263,x2261),f318(x2263,x2262))
% 178.51/178.26 [227]~E(x2271,x2272)+E(f856(x2271,x2273,x2274),f856(x2272,x2273,x2274))
% 178.51/178.26 [228]~E(x2281,x2282)+E(f856(x2283,x2281,x2284),f856(x2283,x2282,x2284))
% 178.51/178.26 [229]~E(x2291,x2292)+E(f856(x2293,x2294,x2291),f856(x2293,x2294,x2292))
% 178.51/178.26 [230]~E(x2301,x2302)+E(f288(x2301,x2303,x2304),f288(x2302,x2303,x2304))
% 178.51/178.26 [231]~E(x2311,x2312)+E(f288(x2313,x2311,x2314),f288(x2313,x2312,x2314))
% 178.51/178.26 [232]~E(x2321,x2322)+E(f288(x2323,x2324,x2321),f288(x2323,x2324,x2322))
% 178.51/178.26 [233]~E(x2331,x2332)+E(f183(x2331,x2333),f183(x2332,x2333))
% 178.51/178.26 [234]~E(x2341,x2342)+E(f183(x2343,x2341),f183(x2343,x2342))
% 178.51/178.26 [235]~E(x2351,x2352)+E(f782(x2351,x2353,x2354),f782(x2352,x2353,x2354))
% 178.51/178.26 [236]~E(x2361,x2362)+E(f782(x2363,x2361,x2364),f782(x2363,x2362,x2364))
% 178.51/178.26 [237]~E(x2371,x2372)+E(f782(x2373,x2374,x2371),f782(x2373,x2374,x2372))
% 178.51/178.26 [238]~E(x2381,x2382)+E(f303(x2381),f303(x2382))
% 178.51/178.26 [239]~E(x2391,x2392)+E(f156(x2391,x2393,x2394,x2395),f156(x2392,x2393,x2394,x2395))
% 178.51/178.26 [240]~E(x2401,x2402)+E(f156(x2403,x2401,x2404,x2405),f156(x2403,x2402,x2404,x2405))
% 178.51/178.26 [241]~E(x2411,x2412)+E(f156(x2413,x2414,x2411,x2415),f156(x2413,x2414,x2412,x2415))
% 178.51/178.26 [242]~E(x2421,x2422)+E(f156(x2423,x2424,x2425,x2421),f156(x2423,x2424,x2425,x2422))
% 178.51/178.26 [243]~E(x2431,x2432)+E(f16(x2431,x2433),f16(x2432,x2433))
% 178.51/178.26 [244]~E(x2441,x2442)+E(f16(x2443,x2441),f16(x2443,x2442))
% 178.51/178.26 [245]~E(x2451,x2452)+E(f482(x2451,x2453,x2454,x2455),f482(x2452,x2453,x2454,x2455))
% 178.51/178.26 [246]~E(x2461,x2462)+E(f482(x2463,x2461,x2464,x2465),f482(x2463,x2462,x2464,x2465))
% 178.51/178.26 [247]~E(x2471,x2472)+E(f482(x2473,x2474,x2471,x2475),f482(x2473,x2474,x2472,x2475))
% 178.51/178.26 [248]~E(x2481,x2482)+E(f482(x2483,x2484,x2485,x2481),f482(x2483,x2484,x2485,x2482))
% 178.51/178.26 [249]~E(x2491,x2492)+E(f49(x2491,x2493),f49(x2492,x2493))
% 178.51/178.26 [250]~E(x2501,x2502)+E(f49(x2503,x2501),f49(x2503,x2502))
% 178.51/178.26 [251]~E(x2511,x2512)+E(f114(x2511,x2513),f114(x2512,x2513))
% 178.51/178.26 [252]~E(x2521,x2522)+E(f114(x2523,x2521),f114(x2523,x2522))
% 178.51/178.26 [253]~E(x2531,x2532)+E(f205(x2531,x2533,x2534,x2535),f205(x2532,x2533,x2534,x2535))
% 178.51/178.26 [254]~E(x2541,x2542)+E(f205(x2543,x2541,x2544,x2545),f205(x2543,x2542,x2544,x2545))
% 178.51/178.26 [255]~E(x2551,x2552)+E(f205(x2553,x2554,x2551,x2555),f205(x2553,x2554,x2552,x2555))
% 178.51/178.26 [256]~E(x2561,x2562)+E(f205(x2563,x2564,x2565,x2561),f205(x2563,x2564,x2565,x2562))
% 178.51/178.26 [257]~E(x2571,x2572)+E(f866(x2571,x2573,x2574),f866(x2572,x2573,x2574))
% 178.51/178.26 [258]~E(x2581,x2582)+E(f866(x2583,x2581,x2584),f866(x2583,x2582,x2584))
% 178.51/178.26 [259]~E(x2591,x2592)+E(f866(x2593,x2594,x2591),f866(x2593,x2594,x2592))
% 178.51/178.26 [260]~E(x2601,x2602)+E(f152(x2601,x2603),f152(x2602,x2603))
% 178.51/178.26 [261]~E(x2611,x2612)+E(f152(x2613,x2611),f152(x2613,x2612))
% 178.51/178.26 [262]~E(x2621,x2622)+E(f90(x2621),f90(x2622))
% 178.51/178.26 [263]~E(x2631,x2632)+E(f191(x2631),f191(x2632))
% 178.51/178.26 [264]~E(x2641,x2642)+E(f751(x2641,x2643,x2644),f751(x2642,x2643,x2644))
% 178.51/178.26 [265]~E(x2651,x2652)+E(f751(x2653,x2651,x2654),f751(x2653,x2652,x2654))
% 178.51/178.26 [266]~E(x2661,x2662)+E(f751(x2663,x2664,x2661),f751(x2663,x2664,x2662))
% 178.51/178.26 [267]~E(x2671,x2672)+E(f115(x2671),f115(x2672))
% 178.51/178.26 [268]~E(x2681,x2682)+E(f920(x2681,x2683),f920(x2682,x2683))
% 178.51/178.26 [269]~E(x2691,x2692)+E(f920(x2693,x2691),f920(x2693,x2692))
% 178.51/178.26 [270]~E(x2701,x2702)+E(f919(x2701,x2703),f919(x2702,x2703))
% 178.51/178.26 [271]~E(x2711,x2712)+E(f919(x2713,x2711),f919(x2713,x2712))
% 178.51/178.26 [272]~E(x2721,x2722)+E(f575(x2721,x2723,x2724),f575(x2722,x2723,x2724))
% 178.51/178.26 [273]~E(x2731,x2732)+E(f575(x2733,x2731,x2734),f575(x2733,x2732,x2734))
% 178.51/178.26 [274]~E(x2741,x2742)+E(f575(x2743,x2744,x2741),f575(x2743,x2744,x2742))
% 178.51/178.26 [275]~E(x2751,x2752)+E(f27(x2751,x2753,x2754),f27(x2752,x2753,x2754))
% 178.51/178.26 [276]~E(x2761,x2762)+E(f27(x2763,x2761,x2764),f27(x2763,x2762,x2764))
% 178.51/178.26 [277]~E(x2771,x2772)+E(f27(x2773,x2774,x2771),f27(x2773,x2774,x2772))
% 178.51/178.26 [278]~E(x2781,x2782)+E(f164(x2781),f164(x2782))
% 178.51/178.26 [279]~E(x2791,x2792)+E(f109(x2791),f109(x2792))
% 178.51/178.26 [280]~E(x2801,x2802)+E(f84(x2801,x2803),f84(x2802,x2803))
% 178.51/178.26 [281]~E(x2811,x2812)+E(f84(x2813,x2811),f84(x2813,x2812))
% 178.51/178.26 [282]~E(x2821,x2822)+E(f171(x2821),f171(x2822))
% 178.51/178.26 [283]~E(x2831,x2832)+E(f65(x2831,x2833,x2834),f65(x2832,x2833,x2834))
% 178.51/178.26 [284]~E(x2841,x2842)+E(f65(x2843,x2841,x2844),f65(x2843,x2842,x2844))
% 178.51/178.26 [285]~E(x2851,x2852)+E(f65(x2853,x2854,x2851),f65(x2853,x2854,x2852))
% 178.51/178.26 [286]~E(x2861,x2862)+E(f855(x2861,x2863,x2864),f855(x2862,x2863,x2864))
% 178.51/178.27 [287]~E(x2871,x2872)+E(f855(x2873,x2871,x2874),f855(x2873,x2872,x2874))
% 178.51/178.27 [288]~E(x2881,x2882)+E(f855(x2883,x2884,x2881),f855(x2883,x2884,x2882))
% 178.51/178.27 [289]~E(x2891,x2892)+E(f369(x2891,x2893,x2894,x2895),f369(x2892,x2893,x2894,x2895))
% 178.51/178.27 [290]~E(x2901,x2902)+E(f369(x2903,x2901,x2904,x2905),f369(x2903,x2902,x2904,x2905))
% 178.51/178.27 [291]~E(x2911,x2912)+E(f369(x2913,x2914,x2911,x2915),f369(x2913,x2914,x2912,x2915))
% 178.51/178.27 [292]~E(x2921,x2922)+E(f369(x2923,x2924,x2925,x2921),f369(x2923,x2924,x2925,x2922))
% 178.51/178.27 [293]~E(x2931,x2932)+E(f29(x2931,x2933),f29(x2932,x2933))
% 178.51/178.27 [294]~E(x2941,x2942)+E(f29(x2943,x2941),f29(x2943,x2942))
% 178.51/178.27 [295]~E(x2951,x2952)+E(f442(x2951,x2953,x2954,x2955),f442(x2952,x2953,x2954,x2955))
% 178.51/178.27 [296]~E(x2961,x2962)+E(f442(x2963,x2961,x2964,x2965),f442(x2963,x2962,x2964,x2965))
% 178.51/178.27 [297]~E(x2971,x2972)+E(f442(x2973,x2974,x2971,x2975),f442(x2973,x2974,x2972,x2975))
% 178.51/178.27 [298]~E(x2981,x2982)+E(f442(x2983,x2984,x2985,x2981),f442(x2983,x2984,x2985,x2982))
% 178.51/178.27 [299]~E(x2991,x2992)+E(f147(x2991,x2993),f147(x2992,x2993))
% 178.51/178.27 [300]~E(x3001,x3002)+E(f147(x3003,x3001),f147(x3003,x3002))
% 178.51/178.27 [301]~E(x3011,x3012)+E(f155(x3011,x3013,x3014),f155(x3012,x3013,x3014))
% 178.51/178.27 [302]~E(x3021,x3022)+E(f155(x3023,x3021,x3024),f155(x3023,x3022,x3024))
% 178.51/178.27 [303]~E(x3031,x3032)+E(f155(x3033,x3034,x3031),f155(x3033,x3034,x3032))
% 178.51/178.27 [304]~E(x3041,x3042)+E(f179(x3041,x3043),f179(x3042,x3043))
% 178.51/178.27 [305]~E(x3051,x3052)+E(f179(x3053,x3051),f179(x3053,x3052))
% 178.51/178.27 [306]~E(x3061,x3062)+E(f263(x3061,x3063),f263(x3062,x3063))
% 178.51/178.27 [307]~E(x3071,x3072)+E(f263(x3073,x3071),f263(x3073,x3072))
% 178.51/178.27 [308]~E(x3081,x3082)+E(f177(x3081,x3083,x3084),f177(x3082,x3083,x3084))
% 178.51/178.27 [309]~E(x3091,x3092)+E(f177(x3093,x3091,x3094),f177(x3093,x3092,x3094))
% 178.51/178.27 [310]~E(x3101,x3102)+E(f177(x3103,x3104,x3101),f177(x3103,x3104,x3102))
% 178.51/178.27 [311]~E(x3111,x3112)+E(f96(x3111),f96(x3112))
% 178.51/178.27 [312]~E(x3121,x3122)+E(f399(x3121,x3123,x3124),f399(x3122,x3123,x3124))
% 178.51/178.27 [313]~E(x3131,x3132)+E(f399(x3133,x3131,x3134),f399(x3133,x3132,x3134))
% 178.51/178.27 [314]~E(x3141,x3142)+E(f399(x3143,x3144,x3141),f399(x3143,x3144,x3142))
% 178.51/178.27 [315]~E(x3151,x3152)+E(f317(x3151,x3153),f317(x3152,x3153))
% 178.51/178.27 [316]~E(x3161,x3162)+E(f317(x3163,x3161),f317(x3163,x3162))
% 178.51/178.27 [317]~E(x3171,x3172)+E(f304(x3171,x3173,x3174),f304(x3172,x3173,x3174))
% 178.51/178.27 [318]~E(x3181,x3182)+E(f304(x3183,x3181,x3184),f304(x3183,x3182,x3184))
% 178.51/178.27 [319]~E(x3191,x3192)+E(f304(x3193,x3194,x3191),f304(x3193,x3194,x3192))
% 178.51/178.27 [320]~E(x3201,x3202)+E(f382(x3201,x3203,x3204),f382(x3202,x3203,x3204))
% 178.51/178.27 [321]~E(x3211,x3212)+E(f382(x3213,x3211,x3214),f382(x3213,x3212,x3214))
% 178.51/178.27 [322]~E(x3221,x3222)+E(f382(x3223,x3224,x3221),f382(x3223,x3224,x3222))
% 178.51/178.27 [323]~E(x3231,x3232)+E(f633(x3231,x3233,x3234,x3235,x3236),f633(x3232,x3233,x3234,x3235,x3236))
% 178.51/178.27 [324]~E(x3241,x3242)+E(f633(x3243,x3241,x3244,x3245,x3246),f633(x3243,x3242,x3244,x3245,x3246))
% 178.51/178.27 [325]~E(x3251,x3252)+E(f633(x3253,x3254,x3251,x3255,x3256),f633(x3253,x3254,x3252,x3255,x3256))
% 178.51/178.27 [326]~E(x3261,x3262)+E(f633(x3263,x3264,x3265,x3261,x3266),f633(x3263,x3264,x3265,x3262,x3266))
% 178.51/178.27 [327]~E(x3271,x3272)+E(f633(x3273,x3274,x3275,x3276,x3271),f633(x3273,x3274,x3275,x3276,x3272))
% 178.51/178.27 [328]~E(x3281,x3282)+E(f175(x3281),f175(x3282))
% 178.51/178.27 [329]~E(x3291,x3292)+E(f64(x3291,x3293,x3294),f64(x3292,x3293,x3294))
% 178.51/178.27 [330]~E(x3301,x3302)+E(f64(x3303,x3301,x3304),f64(x3303,x3302,x3304))
% 178.51/178.27 [331]~E(x3311,x3312)+E(f64(x3313,x3314,x3311),f64(x3313,x3314,x3312))
% 178.51/178.27 [332]~E(x3321,x3322)+E(f307(x3321),f307(x3322))
% 178.51/178.27 [333]~E(x3331,x3332)+E(f676(x3331,x3333,x3334),f676(x3332,x3333,x3334))
% 178.51/178.27 [334]~E(x3341,x3342)+E(f676(x3343,x3341,x3344),f676(x3343,x3342,x3344))
% 178.51/178.27 [335]~E(x3351,x3352)+E(f676(x3353,x3354,x3351),f676(x3353,x3354,x3352))
% 178.51/178.27 [336]~E(x3361,x3362)+E(f530(x3361,x3363,x3364,x3365,x3366,x3367,x3368,x3369),f530(x3362,x3363,x3364,x3365,x3366,x3367,x3368,x3369))
% 178.51/178.27 [337]~E(x3371,x3372)+E(f530(x3373,x3371,x3374,x3375,x3376,x3377,x3378,x3379),f530(x3373,x3372,x3374,x3375,x3376,x3377,x3378,x3379))
% 178.51/178.27 [338]~E(x3381,x3382)+E(f530(x3383,x3384,x3381,x3385,x3386,x3387,x3388,x3389),f530(x3383,x3384,x3382,x3385,x3386,x3387,x3388,x3389))
% 178.51/178.27 [339]~E(x3391,x3392)+E(f530(x3393,x3394,x3395,x3391,x3396,x3397,x3398,x3399),f530(x3393,x3394,x3395,x3392,x3396,x3397,x3398,x3399))
% 178.51/178.27 [340]~E(x3401,x3402)+E(f530(x3403,x3404,x3405,x3406,x3401,x3407,x3408,x3409),f530(x3403,x3404,x3405,x3406,x3402,x3407,x3408,x3409))
% 178.51/178.27 [341]~E(x3411,x3412)+E(f530(x3413,x3414,x3415,x3416,x3417,x3411,x3418,x3419),f530(x3413,x3414,x3415,x3416,x3417,x3412,x3418,x3419))
% 178.51/178.27 [342]~E(x3421,x3422)+E(f530(x3423,x3424,x3425,x3426,x3427,x3428,x3421,x3429),f530(x3423,x3424,x3425,x3426,x3427,x3428,x3422,x3429))
% 178.51/178.27 [343]~E(x3431,x3432)+E(f530(x3433,x3434,x3435,x3436,x3437,x3438,x3439,x3431),f530(x3433,x3434,x3435,x3436,x3437,x3438,x3439,x3432))
% 178.51/178.27 [344]~E(x3441,x3442)+E(f141(x3441),f141(x3442))
% 178.51/178.27 [345]~E(x3451,x3452)+E(f428(x3451,x3453,x3454,x3455),f428(x3452,x3453,x3454,x3455))
% 178.51/178.27 [346]~E(x3461,x3462)+E(f428(x3463,x3461,x3464,x3465),f428(x3463,x3462,x3464,x3465))
% 178.51/178.27 [347]~E(x3471,x3472)+E(f428(x3473,x3474,x3471,x3475),f428(x3473,x3474,x3472,x3475))
% 178.51/178.27 [348]~E(x3481,x3482)+E(f428(x3483,x3484,x3485,x3481),f428(x3483,x3484,x3485,x3482))
% 178.51/178.27 [349]~E(x3491,x3492)+E(f872(x3491,x3493,x3494,x3495),f872(x3492,x3493,x3494,x3495))
% 178.51/178.27 [350]~E(x3501,x3502)+E(f872(x3503,x3501,x3504,x3505),f872(x3503,x3502,x3504,x3505))
% 178.51/178.27 [351]~E(x3511,x3512)+E(f872(x3513,x3514,x3511,x3515),f872(x3513,x3514,x3512,x3515))
% 178.51/178.27 [352]~E(x3521,x3522)+E(f872(x3523,x3524,x3525,x3521),f872(x3523,x3524,x3525,x3522))
% 178.51/178.27 [353]~E(x3531,x3532)+E(f713(x3531,x3533,x3534),f713(x3532,x3533,x3534))
% 178.51/178.27 [354]~E(x3541,x3542)+E(f713(x3543,x3541,x3544),f713(x3543,x3542,x3544))
% 178.51/178.27 [355]~E(x3551,x3552)+E(f713(x3553,x3554,x3551),f713(x3553,x3554,x3552))
% 178.51/178.27 [356]~E(x3561,x3562)+E(f268(x3561,x3563),f268(x3562,x3563))
% 178.51/178.27 [357]~E(x3571,x3572)+E(f268(x3573,x3571),f268(x3573,x3572))
% 178.51/178.27 [358]~E(x3581,x3582)+E(f396(x3581,x3583,x3584),f396(x3582,x3583,x3584))
% 178.51/178.27 [359]~E(x3591,x3592)+E(f396(x3593,x3591,x3594),f396(x3593,x3592,x3594))
% 178.51/178.27 [360]~E(x3601,x3602)+E(f396(x3603,x3604,x3601),f396(x3603,x3604,x3602))
% 178.51/178.27 [361]~E(x3611,x3612)+E(f50(x3611,x3613),f50(x3612,x3613))
% 178.51/178.27 [362]~E(x3621,x3622)+E(f50(x3623,x3621),f50(x3623,x3622))
% 178.51/178.27 [363]~E(x3631,x3632)+E(f542(x3631,x3633),f542(x3632,x3633))
% 178.51/178.27 [364]~E(x3641,x3642)+E(f542(x3643,x3641),f542(x3643,x3642))
% 178.51/178.27 [365]~E(x3651,x3652)+E(f119(x3651),f119(x3652))
% 178.51/178.27 [366]~E(x3661,x3662)+E(f120(x3661,x3663),f120(x3662,x3663))
% 178.51/178.27 [367]~E(x3671,x3672)+E(f120(x3673,x3671),f120(x3673,x3672))
% 178.51/178.27 [368]~E(x3681,x3682)+E(f47(x3681,x3683),f47(x3682,x3683))
% 178.51/178.27 [369]~E(x3691,x3692)+E(f47(x3693,x3691),f47(x3693,x3692))
% 178.51/178.27 [370]~E(x3701,x3702)+E(f284(x3701,x3703,x3704),f284(x3702,x3703,x3704))
% 178.51/178.27 [371]~E(x3711,x3712)+E(f284(x3713,x3711,x3714),f284(x3713,x3712,x3714))
% 178.51/178.27 [372]~E(x3721,x3722)+E(f284(x3723,x3724,x3721),f284(x3723,x3724,x3722))
% 178.51/178.27 [373]~E(x3731,x3732)+E(f66(x3731,x3733,x3734,x3735,x3736),f66(x3732,x3733,x3734,x3735,x3736))
% 178.51/178.27 [374]~E(x3741,x3742)+E(f66(x3743,x3741,x3744,x3745,x3746),f66(x3743,x3742,x3744,x3745,x3746))
% 178.51/178.27 [375]~E(x3751,x3752)+E(f66(x3753,x3754,x3751,x3755,x3756),f66(x3753,x3754,x3752,x3755,x3756))
% 178.51/178.27 [376]~E(x3761,x3762)+E(f66(x3763,x3764,x3765,x3761,x3766),f66(x3763,x3764,x3765,x3762,x3766))
% 178.51/178.27 [377]~E(x3771,x3772)+E(f66(x3773,x3774,x3775,x3776,x3771),f66(x3773,x3774,x3775,x3776,x3772))
% 178.51/178.27 [378]~E(x3781,x3782)+E(f562(x3781,x3783,x3784),f562(x3782,x3783,x3784))
% 178.51/178.27 [379]~E(x3791,x3792)+E(f562(x3793,x3791,x3794),f562(x3793,x3792,x3794))
% 178.51/178.27 [380]~E(x3801,x3802)+E(f562(x3803,x3804,x3801),f562(x3803,x3804,x3802))
% 178.51/178.27 [381]~E(x3811,x3812)+E(f56(x3811),f56(x3812))
% 178.51/178.27 [382]~E(x3821,x3822)+E(f85(x3821,x3823),f85(x3822,x3823))
% 178.51/178.27 [383]~E(x3831,x3832)+E(f85(x3833,x3831),f85(x3833,x3832))
% 178.51/178.27 [384]~E(x3841,x3842)+E(f533(x3841,x3843,x3844,x3845),f533(x3842,x3843,x3844,x3845))
% 178.51/178.27 [385]~E(x3851,x3852)+E(f533(x3853,x3851,x3854,x3855),f533(x3853,x3852,x3854,x3855))
% 178.51/178.27 [386]~E(x3861,x3862)+E(f533(x3863,x3864,x3861,x3865),f533(x3863,x3864,x3862,x3865))
% 178.51/178.27 [387]~E(x3871,x3872)+E(f533(x3873,x3874,x3875,x3871),f533(x3873,x3874,x3875,x3872))
% 178.51/178.27 [388]~E(x3881,x3882)+E(f178(x3881,x3883),f178(x3882,x3883))
% 178.51/178.27 [389]~E(x3891,x3892)+E(f178(x3893,x3891),f178(x3893,x3892))
% 178.51/178.27 [390]~E(x3901,x3902)+E(f153(x3901,x3903),f153(x3902,x3903))
% 178.51/178.27 [391]~E(x3911,x3912)+E(f153(x3913,x3911),f153(x3913,x3912))
% 178.51/178.27 [392]~E(x3921,x3922)+E(f262(x3921,x3923),f262(x3922,x3923))
% 178.51/178.27 [393]~E(x3931,x3932)+E(f262(x3933,x3931),f262(x3933,x3932))
% 178.51/178.27 [394]~E(x3941,x3942)+E(f139(x3941,x3943),f139(x3942,x3943))
% 178.51/178.27 [395]~E(x3951,x3952)+E(f139(x3953,x3951),f139(x3953,x3952))
% 178.51/178.27 [396]~E(x3961,x3962)+E(f283(x3961,x3963),f283(x3962,x3963))
% 178.51/178.27 [397]~E(x3971,x3972)+E(f283(x3973,x3971),f283(x3973,x3972))
% 178.51/178.27 [398]~E(x3981,x3982)+E(f441(x3981,x3983,x3984,x3985),f441(x3982,x3983,x3984,x3985))
% 178.51/178.27 [399]~E(x3991,x3992)+E(f441(x3993,x3991,x3994,x3995),f441(x3993,x3992,x3994,x3995))
% 178.51/178.27 [400]~E(x4001,x4002)+E(f441(x4003,x4004,x4001,x4005),f441(x4003,x4004,x4002,x4005))
% 178.51/178.27 [401]~E(x4011,x4012)+E(f441(x4013,x4014,x4015,x4011),f441(x4013,x4014,x4015,x4012))
% 178.51/178.27 [402]~E(x4021,x4022)+E(f802(x4021,x4023),f802(x4022,x4023))
% 178.51/178.27 [403]~E(x4031,x4032)+E(f802(x4033,x4031),f802(x4033,x4032))
% 178.51/178.27 [404]~E(x4041,x4042)+E(f75(x4041),f75(x4042))
% 178.51/178.27 [405]~E(x4051,x4052)+E(f17(x4051,x4053),f17(x4052,x4053))
% 178.51/178.27 [406]~E(x4061,x4062)+E(f17(x4063,x4061),f17(x4063,x4062))
% 178.51/178.27 [407]~E(x4071,x4072)+E(f81(x4071,x4073),f81(x4072,x4073))
% 178.51/178.27 [408]~E(x4081,x4082)+E(f81(x4083,x4081),f81(x4083,x4082))
% 178.51/178.27 [409]~E(x4091,x4092)+E(f378(x4091,x4093,x4094),f378(x4092,x4093,x4094))
% 178.51/178.27 [410]~E(x4101,x4102)+E(f378(x4103,x4101,x4104),f378(x4103,x4102,x4104))
% 178.51/178.27 [411]~E(x4111,x4112)+E(f378(x4113,x4114,x4111),f378(x4113,x4114,x4112))
% 178.51/178.27 [412]~E(x4121,x4122)+E(f55(x4121,x4123,x4124),f55(x4122,x4123,x4124))
% 178.51/178.27 [413]~E(x4131,x4132)+E(f55(x4133,x4131,x4134),f55(x4133,x4132,x4134))
% 178.51/178.27 [414]~E(x4141,x4142)+E(f55(x4143,x4144,x4141),f55(x4143,x4144,x4142))
% 178.51/178.27 [415]~E(x4151,x4152)+E(f393(x4151,x4153,x4154),f393(x4152,x4153,x4154))
% 178.51/178.27 [416]~E(x4161,x4162)+E(f393(x4163,x4161,x4164),f393(x4163,x4162,x4164))
% 178.51/178.27 [417]~E(x4171,x4172)+E(f393(x4173,x4174,x4171),f393(x4173,x4174,x4172))
% 178.51/178.27 [418]~E(x4181,x4182)+E(f143(x4181,x4183),f143(x4182,x4183))
% 178.51/178.27 [419]~E(x4191,x4192)+E(f143(x4193,x4191),f143(x4193,x4192))
% 178.51/178.27 [420]~E(x4201,x4202)+E(f653(x4201,x4203,x4204,x4205,x4206),f653(x4202,x4203,x4204,x4205,x4206))
% 178.51/178.27 [421]~E(x4211,x4212)+E(f653(x4213,x4211,x4214,x4215,x4216),f653(x4213,x4212,x4214,x4215,x4216))
% 178.51/178.27 [422]~E(x4221,x4222)+E(f653(x4223,x4224,x4221,x4225,x4226),f653(x4223,x4224,x4222,x4225,x4226))
% 178.51/178.27 [423]~E(x4231,x4232)+E(f653(x4233,x4234,x4235,x4231,x4236),f653(x4233,x4234,x4235,x4232,x4236))
% 178.51/178.27 [424]~E(x4241,x4242)+E(f653(x4243,x4244,x4245,x4246,x4241),f653(x4243,x4244,x4245,x4246,x4242))
% 178.51/178.27 [425]~E(x4251,x4252)+E(f667(x4251,x4253),f667(x4252,x4253))
% 178.51/178.27 [426]~E(x4261,x4262)+E(f667(x4263,x4261),f667(x4263,x4262))
% 178.51/178.27 [427]~E(x4271,x4272)+E(f631(x4271,x4273,x4274,x4275,x4276),f631(x4272,x4273,x4274,x4275,x4276))
% 178.51/178.27 [428]~E(x4281,x4282)+E(f631(x4283,x4281,x4284,x4285,x4286),f631(x4283,x4282,x4284,x4285,x4286))
% 178.51/178.27 [429]~E(x4291,x4292)+E(f631(x4293,x4294,x4291,x4295,x4296),f631(x4293,x4294,x4292,x4295,x4296))
% 178.51/178.27 [430]~E(x4301,x4302)+E(f631(x4303,x4304,x4305,x4301,x4306),f631(x4303,x4304,x4305,x4302,x4306))
% 178.51/178.27 [431]~E(x4311,x4312)+E(f631(x4313,x4314,x4315,x4316,x4311),f631(x4313,x4314,x4315,x4316,x4312))
% 178.51/178.27 [432]~E(x4321,x4322)+E(f412(x4321,x4323),f412(x4322,x4323))
% 178.51/178.27 [433]~E(x4331,x4332)+E(f412(x4333,x4331),f412(x4333,x4332))
% 178.51/178.27 [434]~E(x4341,x4342)+E(f614(x4341,x4343),f614(x4342,x4343))
% 178.51/178.27 [435]~E(x4351,x4352)+E(f614(x4353,x4351),f614(x4353,x4352))
% 178.51/178.27 [436]~E(x4361,x4362)+E(f170(x4361,x4363,x4364),f170(x4362,x4363,x4364))
% 178.51/178.27 [437]~E(x4371,x4372)+E(f170(x4373,x4371,x4374),f170(x4373,x4372,x4374))
% 178.51/178.27 [438]~E(x4381,x4382)+E(f170(x4383,x4384,x4381),f170(x4383,x4384,x4382))
% 178.51/178.27 [439]~E(x4391,x4392)+E(f165(x4391),f165(x4392))
% 178.51/178.27 [440]~E(x4401,x4402)+E(f467(x4401,x4403,x4404,x4405,x4406),f467(x4402,x4403,x4404,x4405,x4406))
% 178.51/178.27 [441]~E(x4411,x4412)+E(f467(x4413,x4411,x4414,x4415,x4416),f467(x4413,x4412,x4414,x4415,x4416))
% 178.51/178.27 [442]~E(x4421,x4422)+E(f467(x4423,x4424,x4421,x4425,x4426),f467(x4423,x4424,x4422,x4425,x4426))
% 178.51/178.27 [443]~E(x4431,x4432)+E(f467(x4433,x4434,x4435,x4431,x4436),f467(x4433,x4434,x4435,x4432,x4436))
% 178.51/178.27 [444]~E(x4441,x4442)+E(f467(x4443,x4444,x4445,x4446,x4441),f467(x4443,x4444,x4445,x4446,x4442))
% 178.51/178.27 [445]~E(x4451,x4452)+E(f15(x4451,x4453,x4454),f15(x4452,x4453,x4454))
% 178.51/178.27 [446]~E(x4461,x4462)+E(f15(x4463,x4461,x4464),f15(x4463,x4462,x4464))
% 178.51/178.27 [447]~E(x4471,x4472)+E(f15(x4473,x4474,x4471),f15(x4473,x4474,x4472))
% 178.51/178.27 [448]~E(x4481,x4482)+E(f57(x4481),f57(x4482))
% 178.51/178.27 [449]~E(x4491,x4492)+E(f710(x4491,x4493,x4494),f710(x4492,x4493,x4494))
% 178.51/178.27 [450]~E(x4501,x4502)+E(f710(x4503,x4501,x4504),f710(x4503,x4502,x4504))
% 178.51/178.27 [451]~E(x4511,x4512)+E(f710(x4513,x4514,x4511),f710(x4513,x4514,x4512))
% 178.51/178.27 [452]~E(x4521,x4522)+E(f332(x4521),f332(x4522))
% 178.51/178.27 [453]~E(x4531,x4532)+E(f454(x4531,x4533),f454(x4532,x4533))
% 178.51/178.27 [454]~E(x4541,x4542)+E(f454(x4543,x4541),f454(x4543,x4542))
% 178.51/178.27 [455]~E(x4551,x4552)+E(f781(x4551,x4553,x4554,x4555),f781(x4552,x4553,x4554,x4555))
% 178.51/178.27 [456]~E(x4561,x4562)+E(f781(x4563,x4561,x4564,x4565),f781(x4563,x4562,x4564,x4565))
% 178.51/178.27 [457]~E(x4571,x4572)+E(f781(x4573,x4574,x4571,x4575),f781(x4573,x4574,x4572,x4575))
% 178.51/178.27 [458]~E(x4581,x4582)+E(f781(x4583,x4584,x4585,x4581),f781(x4583,x4584,x4585,x4582))
% 178.51/178.27 [459]~E(x4591,x4592)+E(f435(x4591,x4593,x4594),f435(x4592,x4593,x4594))
% 178.51/178.27 [460]~E(x4601,x4602)+E(f435(x4603,x4601,x4604),f435(x4603,x4602,x4604))
% 178.51/178.27 [461]~E(x4611,x4612)+E(f435(x4613,x4614,x4611),f435(x4613,x4614,x4612))
% 178.51/178.27 [462]~E(x4621,x4622)+E(f176(x4621,x4623,x4624),f176(x4622,x4623,x4624))
% 178.51/178.27 [463]~E(x4631,x4632)+E(f176(x4633,x4631,x4634),f176(x4633,x4632,x4634))
% 178.51/178.27 [464]~E(x4641,x4642)+E(f176(x4643,x4644,x4641),f176(x4643,x4644,x4642))
% 178.51/178.27 [465]~E(x4651,x4652)+E(f430(x4651,x4653,x4654,x4655,x4656,x4657,x4658),f430(x4652,x4653,x4654,x4655,x4656,x4657,x4658))
% 178.51/178.27 [466]~E(x4661,x4662)+E(f430(x4663,x4661,x4664,x4665,x4666,x4667,x4668),f430(x4663,x4662,x4664,x4665,x4666,x4667,x4668))
% 178.51/178.27 [467]~E(x4671,x4672)+E(f430(x4673,x4674,x4671,x4675,x4676,x4677,x4678),f430(x4673,x4674,x4672,x4675,x4676,x4677,x4678))
% 178.51/178.27 [468]~E(x4681,x4682)+E(f430(x4683,x4684,x4685,x4681,x4686,x4687,x4688),f430(x4683,x4684,x4685,x4682,x4686,x4687,x4688))
% 178.51/178.27 [469]~E(x4691,x4692)+E(f430(x4693,x4694,x4695,x4696,x4691,x4697,x4698),f430(x4693,x4694,x4695,x4696,x4692,x4697,x4698))
% 178.51/178.27 [470]~E(x4701,x4702)+E(f430(x4703,x4704,x4705,x4706,x4707,x4701,x4708),f430(x4703,x4704,x4705,x4706,x4707,x4702,x4708))
% 178.51/178.27 [471]~E(x4711,x4712)+E(f430(x4713,x4714,x4715,x4716,x4717,x4718,x4711),f430(x4713,x4714,x4715,x4716,x4717,x4718,x4712))
% 178.51/178.27 [472]~E(x4721,x4722)+E(f338(x4721),f338(x4722))
% 178.51/178.27 [473]~E(x4731,x4732)+E(f611(x4731,x4733,x4734,x4735,x4736,x4737,x4738,x4739),f611(x4732,x4733,x4734,x4735,x4736,x4737,x4738,x4739))
% 178.51/178.27 [474]~E(x4741,x4742)+E(f611(x4743,x4741,x4744,x4745,x4746,x4747,x4748,x4749),f611(x4743,x4742,x4744,x4745,x4746,x4747,x4748,x4749))
% 178.51/178.27 [475]~E(x4751,x4752)+E(f611(x4753,x4754,x4751,x4755,x4756,x4757,x4758,x4759),f611(x4753,x4754,x4752,x4755,x4756,x4757,x4758,x4759))
% 178.51/178.27 [476]~E(x4761,x4762)+E(f611(x4763,x4764,x4765,x4761,x4766,x4767,x4768,x4769),f611(x4763,x4764,x4765,x4762,x4766,x4767,x4768,x4769))
% 178.51/178.27 [477]~E(x4771,x4772)+E(f611(x4773,x4774,x4775,x4776,x4771,x4777,x4778,x4779),f611(x4773,x4774,x4775,x4776,x4772,x4777,x4778,x4779))
% 178.51/178.27 [478]~E(x4781,x4782)+E(f611(x4783,x4784,x4785,x4786,x4787,x4781,x4788,x4789),f611(x4783,x4784,x4785,x4786,x4787,x4782,x4788,x4789))
% 178.51/178.27 [479]~E(x4791,x4792)+E(f611(x4793,x4794,x4795,x4796,x4797,x4798,x4791,x4799),f611(x4793,x4794,x4795,x4796,x4797,x4798,x4792,x4799))
% 178.51/178.27 [480]~E(x4801,x4802)+E(f611(x4803,x4804,x4805,x4806,x4807,x4808,x4809,x4801),f611(x4803,x4804,x4805,x4806,x4807,x4808,x4809,x4802))
% 178.51/178.27 [481]~E(x4811,x4812)+E(f285(x4811,x4813),f285(x4812,x4813))
% 178.51/178.27 [482]~E(x4821,x4822)+E(f285(x4823,x4821),f285(x4823,x4822))
% 178.51/178.27 [483]~E(x4831,x4832)+E(f472(x4831,x4833,x4834,x4835,x4836,x4837,x4838),f472(x4832,x4833,x4834,x4835,x4836,x4837,x4838))
% 178.51/178.27 [484]~E(x4841,x4842)+E(f472(x4843,x4841,x4844,x4845,x4846,x4847,x4848),f472(x4843,x4842,x4844,x4845,x4846,x4847,x4848))
% 178.51/178.27 [485]~E(x4851,x4852)+E(f472(x4853,x4854,x4851,x4855,x4856,x4857,x4858),f472(x4853,x4854,x4852,x4855,x4856,x4857,x4858))
% 178.51/178.27 [486]~E(x4861,x4862)+E(f472(x4863,x4864,x4865,x4861,x4866,x4867,x4868),f472(x4863,x4864,x4865,x4862,x4866,x4867,x4868))
% 178.51/178.27 [487]~E(x4871,x4872)+E(f472(x4873,x4874,x4875,x4876,x4871,x4877,x4878),f472(x4873,x4874,x4875,x4876,x4872,x4877,x4878))
% 178.51/178.27 [488]~E(x4881,x4882)+E(f472(x4883,x4884,x4885,x4886,x4887,x4881,x4888),f472(x4883,x4884,x4885,x4886,x4887,x4882,x4888))
% 178.51/178.27 [489]~E(x4891,x4892)+E(f472(x4893,x4894,x4895,x4896,x4897,x4898,x4891),f472(x4893,x4894,x4895,x4896,x4897,x4898,x4892))
% 178.51/178.27 [490]~E(x4901,x4902)+E(f282(x4901),f282(x4902))
% 178.51/178.27 [491]~E(x4911,x4912)+E(f48(x4911,x4913),f48(x4912,x4913))
% 178.51/178.27 [492]~E(x4921,x4922)+E(f48(x4923,x4921),f48(x4923,x4922))
% 178.51/178.27 [493]~E(x4931,x4932)+E(f595(x4931,x4933,x4934,x4935,x4936,x4937,x4938,x4939),f595(x4932,x4933,x4934,x4935,x4936,x4937,x4938,x4939))
% 178.51/178.27 [494]~E(x4941,x4942)+E(f595(x4943,x4941,x4944,x4945,x4946,x4947,x4948,x4949),f595(x4943,x4942,x4944,x4945,x4946,x4947,x4948,x4949))
% 178.51/178.27 [495]~E(x4951,x4952)+E(f595(x4953,x4954,x4951,x4955,x4956,x4957,x4958,x4959),f595(x4953,x4954,x4952,x4955,x4956,x4957,x4958,x4959))
% 178.51/178.27 [496]~E(x4961,x4962)+E(f595(x4963,x4964,x4965,x4961,x4966,x4967,x4968,x4969),f595(x4963,x4964,x4965,x4962,x4966,x4967,x4968,x4969))
% 178.51/178.27 [497]~E(x4971,x4972)+E(f595(x4973,x4974,x4975,x4976,x4971,x4977,x4978,x4979),f595(x4973,x4974,x4975,x4976,x4972,x4977,x4978,x4979))
% 178.51/178.27 [498]~E(x4981,x4982)+E(f595(x4983,x4984,x4985,x4986,x4987,x4981,x4988,x4989),f595(x4983,x4984,x4985,x4986,x4987,x4982,x4988,x4989))
% 178.51/178.27 [499]~E(x4991,x4992)+E(f595(x4993,x4994,x4995,x4996,x4997,x4998,x4991,x4999),f595(x4993,x4994,x4995,x4996,x4997,x4998,x4992,x4999))
% 178.51/178.27 [500]~E(x5001,x5002)+E(f595(x5003,x5004,x5005,x5006,x5007,x5008,x5009,x5001),f595(x5003,x5004,x5005,x5006,x5007,x5008,x5009,x5002))
% 178.51/178.27 [501]~E(x5011,x5012)+E(f767(x5011,x5013,x5014),f767(x5012,x5013,x5014))
% 178.51/178.27 [502]~E(x5021,x5022)+E(f767(x5023,x5021,x5024),f767(x5023,x5022,x5024))
% 178.51/178.27 [503]~E(x5031,x5032)+E(f767(x5033,x5034,x5031),f767(x5033,x5034,x5032))
% 178.51/178.27 [504]~E(x5041,x5042)+E(f161(x5041,x5043),f161(x5042,x5043))
% 178.51/178.27 [505]~E(x5051,x5052)+E(f161(x5053,x5051),f161(x5053,x5052))
% 178.51/178.27 [506]~E(x5061,x5062)+E(f266(x5061),f266(x5062))
% 178.51/178.27 [507]~E(x5071,x5072)+E(f592(x5071,x5073,x5074,x5075,x5076,x5077),f592(x5072,x5073,x5074,x5075,x5076,x5077))
% 178.51/178.27 [508]~E(x5081,x5082)+E(f592(x5083,x5081,x5084,x5085,x5086,x5087),f592(x5083,x5082,x5084,x5085,x5086,x5087))
% 178.51/178.27 [509]~E(x5091,x5092)+E(f592(x5093,x5094,x5091,x5095,x5096,x5097),f592(x5093,x5094,x5092,x5095,x5096,x5097))
% 178.51/178.27 [510]~E(x5101,x5102)+E(f592(x5103,x5104,x5105,x5101,x5106,x5107),f592(x5103,x5104,x5105,x5102,x5106,x5107))
% 178.51/178.27 [511]~E(x5111,x5112)+E(f592(x5113,x5114,x5115,x5116,x5111,x5117),f592(x5113,x5114,x5115,x5116,x5112,x5117))
% 178.51/178.27 [512]~E(x5121,x5122)+E(f592(x5123,x5124,x5125,x5126,x5127,x5121),f592(x5123,x5124,x5125,x5126,x5127,x5122))
% 178.51/178.27 [513]~E(x5131,x5132)+E(f741(x5131,x5133,x5134,x5135),f741(x5132,x5133,x5134,x5135))
% 178.51/178.27 [514]~E(x5141,x5142)+E(f741(x5143,x5141,x5144,x5145),f741(x5143,x5142,x5144,x5145))
% 178.51/178.27 [515]~E(x5151,x5152)+E(f741(x5153,x5154,x5151,x5155),f741(x5153,x5154,x5152,x5155))
% 178.51/178.27 [516]~E(x5161,x5162)+E(f741(x5163,x5164,x5165,x5161),f741(x5163,x5164,x5165,x5162))
% 178.51/178.27 [517]~E(x5171,x5172)+E(f774(x5171,x5173,x5174,x5175),f774(x5172,x5173,x5174,x5175))
% 178.51/178.27 [518]~E(x5181,x5182)+E(f774(x5183,x5181,x5184,x5185),f774(x5183,x5182,x5184,x5185))
% 178.51/178.27 [519]~E(x5191,x5192)+E(f774(x5193,x5194,x5191,x5195),f774(x5193,x5194,x5192,x5195))
% 178.51/178.27 [520]~E(x5201,x5202)+E(f774(x5203,x5204,x5205,x5201),f774(x5203,x5204,x5205,x5202))
% 178.51/178.27 [521]~E(x5211,x5212)+E(f91(x5211,x5213,x5214,x5215),f91(x5212,x5213,x5214,x5215))
% 178.51/178.27 [522]~E(x5221,x5222)+E(f91(x5223,x5221,x5224,x5225),f91(x5223,x5222,x5224,x5225))
% 178.51/178.27 [523]~E(x5231,x5232)+E(f91(x5233,x5234,x5231,x5235),f91(x5233,x5234,x5232,x5235))
% 178.51/178.27 [524]~E(x5241,x5242)+E(f91(x5243,x5244,x5245,x5241),f91(x5243,x5244,x5245,x5242))
% 178.51/178.27 [525]~E(x5251,x5252)+E(f257(x5251,x5253,x5254,x5255,x5256,x5257),f257(x5252,x5253,x5254,x5255,x5256,x5257))
% 178.51/178.27 [526]~E(x5261,x5262)+E(f257(x5263,x5261,x5264,x5265,x5266,x5267),f257(x5263,x5262,x5264,x5265,x5266,x5267))
% 178.51/178.27 [527]~E(x5271,x5272)+E(f257(x5273,x5274,x5271,x5275,x5276,x5277),f257(x5273,x5274,x5272,x5275,x5276,x5277))
% 178.51/178.27 [528]~E(x5281,x5282)+E(f257(x5283,x5284,x5285,x5281,x5286,x5287),f257(x5283,x5284,x5285,x5282,x5286,x5287))
% 178.51/178.27 [529]~E(x5291,x5292)+E(f257(x5293,x5294,x5295,x5296,x5291,x5297),f257(x5293,x5294,x5295,x5296,x5292,x5297))
% 178.51/178.27 [530]~E(x5301,x5302)+E(f257(x5303,x5304,x5305,x5306,x5307,x5301),f257(x5303,x5304,x5305,x5306,x5307,x5302))
% 178.51/178.27 [531]~E(x5311,x5312)+E(f773(x5311,x5313,x5314,x5315,x5316),f773(x5312,x5313,x5314,x5315,x5316))
% 178.51/178.27 [532]~E(x5321,x5322)+E(f773(x5323,x5321,x5324,x5325,x5326),f773(x5323,x5322,x5324,x5325,x5326))
% 178.51/178.27 [533]~E(x5331,x5332)+E(f773(x5333,x5334,x5331,x5335,x5336),f773(x5333,x5334,x5332,x5335,x5336))
% 178.51/178.27 [534]~E(x5341,x5342)+E(f773(x5343,x5344,x5345,x5341,x5346),f773(x5343,x5344,x5345,x5342,x5346))
% 178.51/178.27 [535]~E(x5351,x5352)+E(f773(x5353,x5354,x5355,x5356,x5351),f773(x5353,x5354,x5355,x5356,x5352))
% 178.51/178.27 [536]~E(x5361,x5362)+E(f145(x5361,x5363),f145(x5362,x5363))
% 178.51/178.27 [537]~E(x5371,x5372)+E(f145(x5373,x5371),f145(x5373,x5372))
% 178.51/178.27 [538]~E(x5381,x5382)+E(f474(x5381,x5383),f474(x5382,x5383))
% 178.51/178.27 [539]~E(x5391,x5392)+E(f474(x5393,x5391),f474(x5393,x5392))
% 178.51/178.27 [540]~E(x5401,x5402)+E(f13(x5401,x5403),f13(x5402,x5403))
% 178.51/178.27 [541]~E(x5411,x5412)+E(f13(x5413,x5411),f13(x5413,x5412))
% 178.51/178.27 [542]~E(x5421,x5422)+E(f639(x5421,x5423,x5424,x5425),f639(x5422,x5423,x5424,x5425))
% 178.51/178.27 [543]~E(x5431,x5432)+E(f639(x5433,x5431,x5434,x5435),f639(x5433,x5432,x5434,x5435))
% 178.51/178.27 [544]~E(x5441,x5442)+E(f639(x5443,x5444,x5441,x5445),f639(x5443,x5444,x5442,x5445))
% 178.51/178.27 [545]~E(x5451,x5452)+E(f639(x5453,x5454,x5455,x5451),f639(x5453,x5454,x5455,x5452))
% 178.51/178.27 [546]~E(x5461,x5462)+E(f722(x5461,x5463,x5464),f722(x5462,x5463,x5464))
% 178.51/178.27 [547]~E(x5471,x5472)+E(f722(x5473,x5471,x5474),f722(x5473,x5472,x5474))
% 178.51/178.27 [548]~E(x5481,x5482)+E(f722(x5483,x5484,x5481),f722(x5483,x5484,x5482))
% 178.51/178.27 [549]~E(x5491,x5492)+E(f759(x5491,x5493,x5494),f759(x5492,x5493,x5494))
% 178.51/178.27 [550]~E(x5501,x5502)+E(f759(x5503,x5501,x5504),f759(x5503,x5502,x5504))
% 178.51/178.27 [551]~E(x5511,x5512)+E(f759(x5513,x5514,x5511),f759(x5513,x5514,x5512))
% 178.51/178.27 [552]~E(x5521,x5522)+E(f792(x5521,x5523,x5524),f792(x5522,x5523,x5524))
% 178.51/178.27 [553]~E(x5531,x5532)+E(f792(x5533,x5531,x5534),f792(x5533,x5532,x5534))
% 178.51/178.27 [554]~E(x5541,x5542)+E(f792(x5543,x5544,x5541),f792(x5543,x5544,x5542))
% 178.51/178.27 [555]~E(x5551,x5552)+E(f26(x5551,x5553,x5554),f26(x5552,x5553,x5554))
% 178.51/178.27 [556]~E(x5561,x5562)+E(f26(x5563,x5561,x5564),f26(x5563,x5562,x5564))
% 178.51/178.27 [557]~E(x5571,x5572)+E(f26(x5573,x5574,x5571),f26(x5573,x5574,x5572))
% 178.51/178.27 [558]~E(x5581,x5582)+E(f687(x5581,x5583,x5584,x5585),f687(x5582,x5583,x5584,x5585))
% 178.51/178.27 [559]~E(x5591,x5592)+E(f687(x5593,x5591,x5594,x5595),f687(x5593,x5592,x5594,x5595))
% 178.51/178.27 [560]~E(x5601,x5602)+E(f687(x5603,x5604,x5601,x5605),f687(x5603,x5604,x5602,x5605))
% 178.51/178.27 [561]~E(x5611,x5612)+E(f687(x5613,x5614,x5615,x5611),f687(x5613,x5614,x5615,x5612))
% 178.51/178.27 [562]~E(x5621,x5622)+E(f374(x5621,x5623,x5624),f374(x5622,x5623,x5624))
% 178.51/178.27 [563]~E(x5631,x5632)+E(f374(x5633,x5631,x5634),f374(x5633,x5632,x5634))
% 178.51/178.27 [564]~E(x5641,x5642)+E(f374(x5643,x5644,x5641),f374(x5643,x5644,x5642))
% 178.51/178.27 [565]~E(x5651,x5652)+E(f212(x5651),f212(x5652))
% 178.51/178.27 [566]~E(x5661,x5662)+E(f227(x5661,x5663),f227(x5662,x5663))
% 178.51/178.27 [567]~E(x5671,x5672)+E(f227(x5673,x5671),f227(x5673,x5672))
% 178.51/178.27 [568]~E(x5681,x5682)+E(f125(x5681,x5683),f125(x5682,x5683))
% 178.51/178.27 [569]~E(x5691,x5692)+E(f125(x5693,x5691),f125(x5693,x5692))
% 178.51/178.27 [570]~E(x5701,x5702)+E(f613(x5701,x5703,x5704),f613(x5702,x5703,x5704))
% 178.51/178.27 [571]~E(x5711,x5712)+E(f613(x5713,x5711,x5714),f613(x5713,x5712,x5714))
% 178.51/178.27 [572]~E(x5721,x5722)+E(f613(x5723,x5724,x5721),f613(x5723,x5724,x5722))
% 178.51/178.27 [573]~E(x5731,x5732)+E(f772(x5731,x5733,x5734),f772(x5732,x5733,x5734))
% 178.51/178.27 [574]~E(x5741,x5742)+E(f772(x5743,x5741,x5744),f772(x5743,x5742,x5744))
% 178.51/178.27 [575]~E(x5751,x5752)+E(f772(x5753,x5754,x5751),f772(x5753,x5754,x5752))
% 178.51/178.27 [576]~E(x5761,x5762)+E(f817(x5761),f817(x5762))
% 178.51/178.27 [577]~E(x5771,x5772)+E(f900(x5771,x5773,x5774),f900(x5772,x5773,x5774))
% 178.51/178.27 [578]~E(x5781,x5782)+E(f900(x5783,x5781,x5784),f900(x5783,x5782,x5784))
% 178.51/178.27 [579]~E(x5791,x5792)+E(f900(x5793,x5794,x5791),f900(x5793,x5794,x5792))
% 178.51/178.27 [580]~E(x5801,x5802)+E(f144(x5801,x5803),f144(x5802,x5803))
% 178.51/178.27 [581]~E(x5811,x5812)+E(f144(x5813,x5811),f144(x5813,x5812))
% 178.51/178.27 [582]~E(x5821,x5822)+E(f703(x5821,x5823,x5824),f703(x5822,x5823,x5824))
% 178.51/178.27 [583]~E(x5831,x5832)+E(f703(x5833,x5831,x5834),f703(x5833,x5832,x5834))
% 178.51/178.27 [584]~E(x5841,x5842)+E(f703(x5843,x5844,x5841),f703(x5843,x5844,x5842))
% 178.51/178.27 [585]~E(x5851,x5852)+E(f588(x5851,x5853,x5854,x5855,x5856),f588(x5852,x5853,x5854,x5855,x5856))
% 178.51/178.27 [586]~E(x5861,x5862)+E(f588(x5863,x5861,x5864,x5865,x5866),f588(x5863,x5862,x5864,x5865,x5866))
% 178.51/178.27 [587]~E(x5871,x5872)+E(f588(x5873,x5874,x5871,x5875,x5876),f588(x5873,x5874,x5872,x5875,x5876))
% 178.51/178.27 [588]~E(x5881,x5882)+E(f588(x5883,x5884,x5885,x5881,x5886),f588(x5883,x5884,x5885,x5882,x5886))
% 178.51/178.27 [589]~E(x5891,x5892)+E(f588(x5893,x5894,x5895,x5896,x5891),f588(x5893,x5894,x5895,x5896,x5892))
% 178.51/178.27 [590]~E(x5901,x5902)+E(f194(x5901,x5903),f194(x5902,x5903))
% 178.51/178.27 [591]~E(x5911,x5912)+E(f194(x5913,x5911),f194(x5913,x5912))
% 178.51/178.27 [592]~E(x5921,x5922)+E(f220(x5921,x5923,x5924,x5925),f220(x5922,x5923,x5924,x5925))
% 178.51/178.27 [593]~E(x5931,x5932)+E(f220(x5933,x5931,x5934,x5935),f220(x5933,x5932,x5934,x5935))
% 178.51/178.27 [594]~E(x5941,x5942)+E(f220(x5943,x5944,x5941,x5945),f220(x5943,x5944,x5942,x5945))
% 178.51/178.27 [595]~E(x5951,x5952)+E(f220(x5953,x5954,x5955,x5951),f220(x5953,x5954,x5955,x5952))
% 178.51/178.27 [596]~E(x5961,x5962)+E(f680(x5961,x5963,x5964,x5965,x5966),f680(x5962,x5963,x5964,x5965,x5966))
% 178.51/178.27 [597]~E(x5971,x5972)+E(f680(x5973,x5971,x5974,x5975,x5976),f680(x5973,x5972,x5974,x5975,x5976))
% 178.51/178.27 [598]~E(x5981,x5982)+E(f680(x5983,x5984,x5981,x5985,x5986),f680(x5983,x5984,x5982,x5985,x5986))
% 178.51/178.27 [599]~E(x5991,x5992)+E(f680(x5993,x5994,x5995,x5991,x5996),f680(x5993,x5994,x5995,x5992,x5996))
% 178.51/178.27 [600]~E(x6001,x6002)+E(f680(x6003,x6004,x6005,x6006,x6001),f680(x6003,x6004,x6005,x6006,x6002))
% 178.51/178.27 [601]~E(x6011,x6012)+E(f476(x6011,x6013,x6014),f476(x6012,x6013,x6014))
% 178.51/178.27 [602]~E(x6021,x6022)+E(f476(x6023,x6021,x6024),f476(x6023,x6022,x6024))
% 178.51/178.27 [603]~E(x6031,x6032)+E(f476(x6033,x6034,x6031),f476(x6033,x6034,x6032))
% 178.51/178.27 [604]~E(x6041,x6042)+E(f829(x6041,x6043,x6044),f829(x6042,x6043,x6044))
% 178.51/178.27 [605]~E(x6051,x6052)+E(f829(x6053,x6051,x6054),f829(x6053,x6052,x6054))
% 178.51/178.27 [606]~E(x6061,x6062)+E(f829(x6063,x6064,x6061),f829(x6063,x6064,x6062))
% 178.51/178.27 [607]~E(x6071,x6072)+E(f319(x6071,x6073,x6074,x6075),f319(x6072,x6073,x6074,x6075))
% 178.51/178.27 [608]~E(x6081,x6082)+E(f319(x6083,x6081,x6084,x6085),f319(x6083,x6082,x6084,x6085))
% 178.51/178.27 [609]~E(x6091,x6092)+E(f319(x6093,x6094,x6091,x6095),f319(x6093,x6094,x6092,x6095))
% 178.51/178.27 [610]~E(x6101,x6102)+E(f319(x6103,x6104,x6105,x6101),f319(x6103,x6104,x6105,x6102))
% 178.51/178.27 [611]~E(x6111,x6112)+E(f804(x6111),f804(x6112))
% 178.51/178.27 [612]~E(x6121,x6122)+E(f780(x6121,x6123,x6124,x6125,x6126,x6127),f780(x6122,x6123,x6124,x6125,x6126,x6127))
% 178.51/178.27 [613]~E(x6131,x6132)+E(f780(x6133,x6131,x6134,x6135,x6136,x6137),f780(x6133,x6132,x6134,x6135,x6136,x6137))
% 178.51/178.27 [614]~E(x6141,x6142)+E(f780(x6143,x6144,x6141,x6145,x6146,x6147),f780(x6143,x6144,x6142,x6145,x6146,x6147))
% 178.51/178.27 [615]~E(x6151,x6152)+E(f780(x6153,x6154,x6155,x6151,x6156,x6157),f780(x6153,x6154,x6155,x6152,x6156,x6157))
% 178.51/178.27 [616]~E(x6161,x6162)+E(f780(x6163,x6164,x6165,x6166,x6161,x6167),f780(x6163,x6164,x6165,x6166,x6162,x6167))
% 178.51/178.27 [617]~E(x6171,x6172)+E(f780(x6173,x6174,x6175,x6176,x6177,x6171),f780(x6173,x6174,x6175,x6176,x6177,x6172))
% 178.51/178.27 [618]~E(x6181,x6182)+E(f885(x6181,x6183,x6184,x6185,x6186),f885(x6182,x6183,x6184,x6185,x6186))
% 178.51/178.27 [619]~E(x6191,x6192)+E(f885(x6193,x6191,x6194,x6195,x6196),f885(x6193,x6192,x6194,x6195,x6196))
% 178.51/178.27 [620]~E(x6201,x6202)+E(f885(x6203,x6204,x6201,x6205,x6206),f885(x6203,x6204,x6202,x6205,x6206))
% 178.51/178.27 [621]~E(x6211,x6212)+E(f885(x6213,x6214,x6215,x6211,x6216),f885(x6213,x6214,x6215,x6212,x6216))
% 178.51/178.27 [622]~E(x6221,x6222)+E(f885(x6223,x6224,x6225,x6226,x6221),f885(x6223,x6224,x6225,x6226,x6222))
% 178.51/178.27 [623]~E(x6231,x6232)+E(f267(x6231,x6233),f267(x6232,x6233))
% 178.51/178.27 [624]~E(x6241,x6242)+E(f267(x6243,x6241),f267(x6243,x6242))
% 178.51/178.27 [625]~E(x6251,x6252)+E(f252(x6251,x6253,x6254,x6255,x6256),f252(x6252,x6253,x6254,x6255,x6256))
% 178.51/178.27 [626]~E(x6261,x6262)+E(f252(x6263,x6261,x6264,x6265,x6266),f252(x6263,x6262,x6264,x6265,x6266))
% 178.51/178.27 [627]~E(x6271,x6272)+E(f252(x6273,x6274,x6271,x6275,x6276),f252(x6273,x6274,x6272,x6275,x6276))
% 178.51/178.27 [628]~E(x6281,x6282)+E(f252(x6283,x6284,x6285,x6281,x6286),f252(x6283,x6284,x6285,x6282,x6286))
% 178.51/178.27 [629]~E(x6291,x6292)+E(f252(x6293,x6294,x6295,x6296,x6291),f252(x6293,x6294,x6295,x6296,x6292))
% 178.51/178.27 [630]~E(x6301,x6302)+E(f373(x6301,x6303,x6304),f373(x6302,x6303,x6304))
% 178.51/178.27 [631]~E(x6311,x6312)+E(f373(x6313,x6311,x6314),f373(x6313,x6312,x6314))
% 178.51/178.27 [632]~E(x6321,x6322)+E(f373(x6323,x6324,x6321),f373(x6323,x6324,x6322))
% 178.51/178.27 [633]~E(x6331,x6332)+E(f370(x6331,x6333),f370(x6332,x6333))
% 178.51/178.27 [634]~E(x6341,x6342)+E(f370(x6343,x6341),f370(x6343,x6342))
% 178.51/178.27 [635]~E(x6351,x6352)+E(f247(x6351,x6353),f247(x6352,x6353))
% 178.51/178.27 [636]~E(x6361,x6362)+E(f247(x6363,x6361),f247(x6363,x6362))
% 178.51/178.27 [637]~E(x6371,x6372)+E(f601(x6371,x6373,x6374),f601(x6372,x6373,x6374))
% 178.51/178.27 [638]~E(x6381,x6382)+E(f601(x6383,x6381,x6384),f601(x6383,x6382,x6384))
% 178.51/178.27 [639]~E(x6391,x6392)+E(f601(x6393,x6394,x6391),f601(x6393,x6394,x6392))
% 178.51/178.27 [640]~E(x6401,x6402)+E(f455(x6401,x6403),f455(x6402,x6403))
% 178.51/178.27 [641]~E(x6411,x6412)+E(f455(x6413,x6411),f455(x6413,x6412))
% 178.51/178.27 [642]~E(x6421,x6422)+E(f593(x6421,x6423,x6424,x6425,x6426,x6427),f593(x6422,x6423,x6424,x6425,x6426,x6427))
% 178.51/178.27 [643]~E(x6431,x6432)+E(f593(x6433,x6431,x6434,x6435,x6436,x6437),f593(x6433,x6432,x6434,x6435,x6436,x6437))
% 178.51/178.27 [644]~E(x6441,x6442)+E(f593(x6443,x6444,x6441,x6445,x6446,x6447),f593(x6443,x6444,x6442,x6445,x6446,x6447))
% 178.51/178.27 [645]~E(x6451,x6452)+E(f593(x6453,x6454,x6455,x6451,x6456,x6457),f593(x6453,x6454,x6455,x6452,x6456,x6457))
% 178.51/178.27 [646]~E(x6461,x6462)+E(f593(x6463,x6464,x6465,x6466,x6461,x6467),f593(x6463,x6464,x6465,x6466,x6462,x6467))
% 178.51/178.27 [647]~E(x6471,x6472)+E(f593(x6473,x6474,x6475,x6476,x6477,x6471),f593(x6473,x6474,x6475,x6476,x6477,x6472))
% 178.51/178.27 [648]~E(x6481,x6482)+E(f642(x6481,x6483),f642(x6482,x6483))
% 178.51/178.27 [649]~E(x6491,x6492)+E(f642(x6493,x6491),f642(x6493,x6492))
% 178.51/178.27 [650]~E(x6501,x6502)+E(f380(x6501,x6503,x6504,x6505),f380(x6502,x6503,x6504,x6505))
% 178.51/178.27 [651]~E(x6511,x6512)+E(f380(x6513,x6511,x6514,x6515),f380(x6513,x6512,x6514,x6515))
% 178.51/178.27 [652]~E(x6521,x6522)+E(f380(x6523,x6524,x6521,x6525),f380(x6523,x6524,x6522,x6525))
% 178.51/178.27 [653]~E(x6531,x6532)+E(f380(x6533,x6534,x6535,x6531),f380(x6533,x6534,x6535,x6532))
% 178.51/178.27 [654]~E(x6541,x6542)+E(f790(x6541,x6543,x6544),f790(x6542,x6543,x6544))
% 178.51/178.27 [655]~E(x6551,x6552)+E(f790(x6553,x6551,x6554),f790(x6553,x6552,x6554))
% 178.51/178.27 [656]~E(x6561,x6562)+E(f790(x6563,x6564,x6561),f790(x6563,x6564,x6562))
% 178.51/178.27 [657]~E(x6571,x6572)+E(f214(x6571,x6573),f214(x6572,x6573))
% 178.51/178.27 [658]~E(x6581,x6582)+E(f214(x6583,x6581),f214(x6583,x6582))
% 178.51/178.27 [659]~E(x6591,x6592)+E(f163(x6591,x6593,x6594,x6595),f163(x6592,x6593,x6594,x6595))
% 178.51/178.27 [660]~E(x6601,x6602)+E(f163(x6603,x6601,x6604,x6605),f163(x6603,x6602,x6604,x6605))
% 178.51/178.27 [661]~E(x6611,x6612)+E(f163(x6613,x6614,x6611,x6615),f163(x6613,x6614,x6612,x6615))
% 178.51/178.27 [662]~E(x6621,x6622)+E(f163(x6623,x6624,x6625,x6621),f163(x6623,x6624,x6625,x6622))
% 178.51/178.27 [663]~E(x6631,x6632)+E(f709(x6631,x6633),f709(x6632,x6633))
% 178.51/178.27 [664]~E(x6641,x6642)+E(f709(x6643,x6641),f709(x6643,x6642))
% 178.51/178.27 [665]~E(x6651,x6652)+E(f779(x6651,x6653,x6654,x6655),f779(x6652,x6653,x6654,x6655))
% 178.51/178.27 [666]~E(x6661,x6662)+E(f779(x6663,x6661,x6664,x6665),f779(x6663,x6662,x6664,x6665))
% 178.51/178.27 [667]~E(x6671,x6672)+E(f779(x6673,x6674,x6671,x6675),f779(x6673,x6674,x6672,x6675))
% 178.51/178.27 [668]~E(x6681,x6682)+E(f779(x6683,x6684,x6685,x6681),f779(x6683,x6684,x6685,x6682))
% 178.51/178.27 [669]~E(x6691,x6692)+E(f555(x6691,x6693,x6694,x6695,x6696),f555(x6692,x6693,x6694,x6695,x6696))
% 178.51/178.27 [670]~E(x6701,x6702)+E(f555(x6703,x6701,x6704,x6705,x6706),f555(x6703,x6702,x6704,x6705,x6706))
% 178.51/178.27 [671]~E(x6711,x6712)+E(f555(x6713,x6714,x6711,x6715,x6716),f555(x6713,x6714,x6712,x6715,x6716))
% 178.51/178.27 [672]~E(x6721,x6722)+E(f555(x6723,x6724,x6725,x6721,x6726),f555(x6723,x6724,x6725,x6722,x6726))
% 178.51/178.27 [673]~E(x6731,x6732)+E(f555(x6733,x6734,x6735,x6736,x6731),f555(x6733,x6734,x6735,x6736,x6732))
% 178.51/178.27 [674]~E(x6741,x6742)+E(f431(x6741,x6743,x6744,x6745),f431(x6742,x6743,x6744,x6745))
% 178.51/178.27 [675]~E(x6751,x6752)+E(f431(x6753,x6751,x6754,x6755),f431(x6753,x6752,x6754,x6755))
% 178.51/178.27 [676]~E(x6761,x6762)+E(f431(x6763,x6764,x6761,x6765),f431(x6763,x6764,x6762,x6765))
% 178.51/178.27 [677]~E(x6771,x6772)+E(f431(x6773,x6774,x6775,x6771),f431(x6773,x6774,x6775,x6772))
% 178.51/178.27 [678]~E(x6781,x6782)+E(f698(x6781,x6783,x6784,x6785,x6786),f698(x6782,x6783,x6784,x6785,x6786))
% 178.51/178.27 [679]~E(x6791,x6792)+E(f698(x6793,x6791,x6794,x6795,x6796),f698(x6793,x6792,x6794,x6795,x6796))
% 178.51/178.27 [680]~E(x6801,x6802)+E(f698(x6803,x6804,x6801,x6805,x6806),f698(x6803,x6804,x6802,x6805,x6806))
% 178.51/178.27 [681]~E(x6811,x6812)+E(f698(x6813,x6814,x6815,x6811,x6816),f698(x6813,x6814,x6815,x6812,x6816))
% 178.51/178.27 [682]~E(x6821,x6822)+E(f698(x6823,x6824,x6825,x6826,x6821),f698(x6823,x6824,x6825,x6826,x6822))
% 178.51/178.27 [683]~E(x6831,x6832)+E(f148(x6831,x6833,x6834),f148(x6832,x6833,x6834))
% 178.51/178.27 [684]~E(x6841,x6842)+E(f148(x6843,x6841,x6844),f148(x6843,x6842,x6844))
% 178.51/178.27 [685]~E(x6851,x6852)+E(f148(x6853,x6854,x6851),f148(x6853,x6854,x6852))
% 178.51/178.27 [686]~E(x6861,x6862)+E(f851(x6861,x6863,x6864,x6865,x6866,x6867),f851(x6862,x6863,x6864,x6865,x6866,x6867))
% 178.51/178.27 [687]~E(x6871,x6872)+E(f851(x6873,x6871,x6874,x6875,x6876,x6877),f851(x6873,x6872,x6874,x6875,x6876,x6877))
% 178.51/178.27 [688]~E(x6881,x6882)+E(f851(x6883,x6884,x6881,x6885,x6886,x6887),f851(x6883,x6884,x6882,x6885,x6886,x6887))
% 178.51/178.27 [689]~E(x6891,x6892)+E(f851(x6893,x6894,x6895,x6891,x6896,x6897),f851(x6893,x6894,x6895,x6892,x6896,x6897))
% 178.51/178.27 [690]~E(x6901,x6902)+E(f851(x6903,x6904,x6905,x6906,x6901,x6907),f851(x6903,x6904,x6905,x6906,x6902,x6907))
% 178.51/178.27 [691]~E(x6911,x6912)+E(f851(x6913,x6914,x6915,x6916,x6917,x6911),f851(x6913,x6914,x6915,x6916,x6917,x6912))
% 178.51/178.27 [692]~E(x6921,x6922)+E(f504(x6921),f504(x6922))
% 178.51/178.27 [693]~E(x6931,x6932)+E(f852(x6931,x6933,x6934,x6935,x6936,x6937),f852(x6932,x6933,x6934,x6935,x6936,x6937))
% 178.51/178.27 [694]~E(x6941,x6942)+E(f852(x6943,x6941,x6944,x6945,x6946,x6947),f852(x6943,x6942,x6944,x6945,x6946,x6947))
% 178.51/178.27 [695]~E(x6951,x6952)+E(f852(x6953,x6954,x6951,x6955,x6956,x6957),f852(x6953,x6954,x6952,x6955,x6956,x6957))
% 178.51/178.27 [696]~E(x6961,x6962)+E(f852(x6963,x6964,x6965,x6961,x6966,x6967),f852(x6963,x6964,x6965,x6962,x6966,x6967))
% 178.51/178.27 [697]~E(x6971,x6972)+E(f852(x6973,x6974,x6975,x6976,x6971,x6977),f852(x6973,x6974,x6975,x6976,x6972,x6977))
% 178.51/178.27 [698]~E(x6981,x6982)+E(f852(x6983,x6984,x6985,x6986,x6987,x6981),f852(x6983,x6984,x6985,x6986,x6987,x6982))
% 178.51/178.27 [699]~E(x6991,x6992)+E(f334(x6991),f334(x6992))
% 178.51/178.27 [700]~E(x7001,x7002)+E(f54(x7001,x7003),f54(x7002,x7003))
% 178.51/178.27 [701]~E(x7011,x7012)+E(f54(x7013,x7011),f54(x7013,x7012))
% 178.51/178.27 [702]~E(x7021,x7022)+E(f848(x7021,x7023,x7024,x7025,x7026,x7027,x7028,x7029),f848(x7022,x7023,x7024,x7025,x7026,x7027,x7028,x7029))
% 178.51/178.27 [703]~E(x7031,x7032)+E(f848(x7033,x7031,x7034,x7035,x7036,x7037,x7038,x7039),f848(x7033,x7032,x7034,x7035,x7036,x7037,x7038,x7039))
% 178.51/178.27 [704]~E(x7041,x7042)+E(f848(x7043,x7044,x7041,x7045,x7046,x7047,x7048,x7049),f848(x7043,x7044,x7042,x7045,x7046,x7047,x7048,x7049))
% 178.51/178.27 [705]~E(x7051,x7052)+E(f848(x7053,x7054,x7055,x7051,x7056,x7057,x7058,x7059),f848(x7053,x7054,x7055,x7052,x7056,x7057,x7058,x7059))
% 178.51/178.27 [706]~E(x7061,x7062)+E(f848(x7063,x7064,x7065,x7066,x7061,x7067,x7068,x7069),f848(x7063,x7064,x7065,x7066,x7062,x7067,x7068,x7069))
% 178.51/178.27 [707]~E(x7071,x7072)+E(f848(x7073,x7074,x7075,x7076,x7077,x7071,x7078,x7079),f848(x7073,x7074,x7075,x7076,x7077,x7072,x7078,x7079))
% 178.51/178.27 [708]~E(x7081,x7082)+E(f848(x7083,x7084,x7085,x7086,x7087,x7088,x7081,x7089),f848(x7083,x7084,x7085,x7086,x7087,x7088,x7082,x7089))
% 178.51/178.27 [709]~E(x7091,x7092)+E(f848(x7093,x7094,x7095,x7096,x7097,x7098,x7099,x7091),f848(x7093,x7094,x7095,x7096,x7097,x7098,x7099,x7092))
% 178.51/178.27 [710]~E(x7101,x7102)+E(f126(x7101,x7103,x7104),f126(x7102,x7103,x7104))
% 178.51/178.27 [711]~E(x7111,x7112)+E(f126(x7113,x7111,x7114),f126(x7113,x7112,x7114))
% 178.51/178.27 [712]~E(x7121,x7122)+E(f126(x7123,x7124,x7121),f126(x7123,x7124,x7122))
% 178.51/178.27 [713]~E(x7131,x7132)+E(f605(x7131,x7133,x7134),f605(x7132,x7133,x7134))
% 178.51/178.27 [714]~E(x7141,x7142)+E(f605(x7143,x7141,x7144),f605(x7143,x7142,x7144))
% 178.51/178.27 [715]~E(x7151,x7152)+E(f605(x7153,x7154,x7151),f605(x7153,x7154,x7152))
% 178.51/178.27 [716]~E(x7161,x7162)+E(f854(x7161,x7163,x7164,x7165,x7166,x7167),f854(x7162,x7163,x7164,x7165,x7166,x7167))
% 178.51/178.27 [717]~E(x7171,x7172)+E(f854(x7173,x7171,x7174,x7175,x7176,x7177),f854(x7173,x7172,x7174,x7175,x7176,x7177))
% 178.51/178.27 [718]~E(x7181,x7182)+E(f854(x7183,x7184,x7181,x7185,x7186,x7187),f854(x7183,x7184,x7182,x7185,x7186,x7187))
% 178.51/178.27 [719]~E(x7191,x7192)+E(f854(x7193,x7194,x7195,x7191,x7196,x7197),f854(x7193,x7194,x7195,x7192,x7196,x7197))
% 178.51/178.27 [720]~E(x7201,x7202)+E(f854(x7203,x7204,x7205,x7206,x7201,x7207),f854(x7203,x7204,x7205,x7206,x7202,x7207))
% 178.51/178.27 [721]~E(x7211,x7212)+E(f854(x7213,x7214,x7215,x7216,x7217,x7211),f854(x7213,x7214,x7215,x7216,x7217,x7212))
% 178.51/178.27 [722]~E(x7221,x7222)+E(f853(x7221,x7223,x7224,x7225,x7226,x7227),f853(x7222,x7223,x7224,x7225,x7226,x7227))
% 178.51/178.27 [723]~E(x7231,x7232)+E(f853(x7233,x7231,x7234,x7235,x7236,x7237),f853(x7233,x7232,x7234,x7235,x7236,x7237))
% 178.51/178.27 [724]~E(x7241,x7242)+E(f853(x7243,x7244,x7241,x7245,x7246,x7247),f853(x7243,x7244,x7242,x7245,x7246,x7247))
% 178.51/178.27 [725]~E(x7251,x7252)+E(f853(x7253,x7254,x7255,x7251,x7256,x7257),f853(x7253,x7254,x7255,x7252,x7256,x7257))
% 178.51/178.27 [726]~E(x7261,x7262)+E(f853(x7263,x7264,x7265,x7266,x7261,x7267),f853(x7263,x7264,x7265,x7266,x7262,x7267))
% 178.51/178.27 [727]~E(x7271,x7272)+E(f853(x7273,x7274,x7275,x7276,x7277,x7271),f853(x7273,x7274,x7275,x7276,x7277,x7272))
% 178.51/178.27 [728]~E(x7281,x7282)+E(f355(x7281,x7283,x7284),f355(x7282,x7283,x7284))
% 178.51/178.27 [729]~E(x7291,x7292)+E(f355(x7293,x7291,x7294),f355(x7293,x7292,x7294))
% 178.51/178.27 [730]~E(x7301,x7302)+E(f355(x7303,x7304,x7301),f355(x7303,x7304,x7302))
% 178.51/178.27 [731]~E(x7311,x7312)+E(f457(x7311,x7313,x7314,x7315),f457(x7312,x7313,x7314,x7315))
% 178.51/178.27 [732]~E(x7321,x7322)+E(f457(x7323,x7321,x7324,x7325),f457(x7323,x7322,x7324,x7325))
% 178.51/178.27 [733]~E(x7331,x7332)+E(f457(x7333,x7334,x7331,x7335),f457(x7333,x7334,x7332,x7335))
% 178.51/178.27 [734]~E(x7341,x7342)+E(f457(x7343,x7344,x7345,x7341),f457(x7343,x7344,x7345,x7342))
% 178.51/178.27 [735]~E(x7351,x7352)+E(f528(x7351,x7353,x7354,x7355),f528(x7352,x7353,x7354,x7355))
% 178.51/178.27 [736]~E(x7361,x7362)+E(f528(x7363,x7361,x7364,x7365),f528(x7363,x7362,x7364,x7365))
% 178.51/178.27 [737]~E(x7371,x7372)+E(f528(x7373,x7374,x7371,x7375),f528(x7373,x7374,x7372,x7375))
% 178.51/178.27 [738]~E(x7381,x7382)+E(f528(x7383,x7384,x7385,x7381),f528(x7383,x7384,x7385,x7382))
% 178.51/178.27 [739]~E(x7391,x7392)+E(f312(x7391,x7393,x7394,x7395),f312(x7392,x7393,x7394,x7395))
% 178.51/178.27 [740]~E(x7401,x7402)+E(f312(x7403,x7401,x7404,x7405),f312(x7403,x7402,x7404,x7405))
% 178.51/178.27 [741]~E(x7411,x7412)+E(f312(x7413,x7414,x7411,x7415),f312(x7413,x7414,x7412,x7415))
% 178.51/178.27 [742]~E(x7421,x7422)+E(f312(x7423,x7424,x7425,x7421),f312(x7423,x7424,x7425,x7422))
% 178.51/178.27 [743]~E(x7431,x7432)+E(f440(x7431,x7433,x7434,x7435),f440(x7432,x7433,x7434,x7435))
% 178.51/178.27 [744]~E(x7441,x7442)+E(f440(x7443,x7441,x7444,x7445),f440(x7443,x7442,x7444,x7445))
% 178.51/178.27 [745]~E(x7451,x7452)+E(f440(x7453,x7454,x7451,x7455),f440(x7453,x7454,x7452,x7455))
% 178.51/178.27 [746]~E(x7461,x7462)+E(f440(x7463,x7464,x7465,x7461),f440(x7463,x7464,x7465,x7462))
% 178.51/178.27 [747]~E(x7471,x7472)+E(f357(x7471,x7473,x7474),f357(x7472,x7473,x7474))
% 178.51/178.27 [748]~E(x7481,x7482)+E(f357(x7483,x7481,x7484),f357(x7483,x7482,x7484))
% 178.51/178.27 [749]~E(x7491,x7492)+E(f357(x7493,x7494,x7491),f357(x7493,x7494,x7492))
% 178.51/178.27 [750]~E(x7501,x7502)+E(f480(x7501,x7503,x7504,x7505),f480(x7502,x7503,x7504,x7505))
% 178.51/178.27 [751]~E(x7511,x7512)+E(f480(x7513,x7511,x7514,x7515),f480(x7513,x7512,x7514,x7515))
% 178.51/178.27 [752]~E(x7521,x7522)+E(f480(x7523,x7524,x7521,x7525),f480(x7523,x7524,x7522,x7525))
% 178.51/178.27 [753]~E(x7531,x7532)+E(f480(x7533,x7534,x7535,x7531),f480(x7533,x7534,x7535,x7532))
% 178.51/178.27 [754]~E(x7541,x7542)+E(f53(x7541,x7543),f53(x7542,x7543))
% 178.51/178.27 [755]~E(x7551,x7552)+E(f53(x7553,x7551),f53(x7553,x7552))
% 178.51/178.27 [756]~E(x7561,x7562)+E(f650(x7561,x7563,x7564,x7565,x7566,x7567),f650(x7562,x7563,x7564,x7565,x7566,x7567))
% 178.51/178.27 [757]~E(x7571,x7572)+E(f650(x7573,x7571,x7574,x7575,x7576,x7577),f650(x7573,x7572,x7574,x7575,x7576,x7577))
% 178.51/178.27 [758]~E(x7581,x7582)+E(f650(x7583,x7584,x7581,x7585,x7586,x7587),f650(x7583,x7584,x7582,x7585,x7586,x7587))
% 178.51/178.27 [759]~E(x7591,x7592)+E(f650(x7593,x7594,x7595,x7591,x7596,x7597),f650(x7593,x7594,x7595,x7592,x7596,x7597))
% 178.51/178.27 [760]~E(x7601,x7602)+E(f650(x7603,x7604,x7605,x7606,x7601,x7607),f650(x7603,x7604,x7605,x7606,x7602,x7607))
% 178.51/178.27 [761]~E(x7611,x7612)+E(f650(x7613,x7614,x7615,x7616,x7617,x7611),f650(x7613,x7614,x7615,x7616,x7617,x7612))
% 178.51/178.27 [762]~E(x7621,x7622)+E(f721(x7621,x7623),f721(x7622,x7623))
% 178.51/178.27 [763]~E(x7631,x7632)+E(f721(x7633,x7631),f721(x7633,x7632))
% 178.51/178.27 [764]~E(x7641,x7642)+E(f675(x7641,x7643,x7644),f675(x7642,x7643,x7644))
% 178.51/178.27 [765]~E(x7651,x7652)+E(f675(x7653,x7651,x7654),f675(x7653,x7652,x7654))
% 178.51/178.27 [766]~E(x7661,x7662)+E(f675(x7663,x7664,x7661),f675(x7663,x7664,x7662))
% 178.51/178.27 [767]~E(x7671,x7672)+E(f651(x7671,x7673,x7674,x7675,x7676,x7677),f651(x7672,x7673,x7674,x7675,x7676,x7677))
% 178.51/178.27 [768]~E(x7681,x7682)+E(f651(x7683,x7681,x7684,x7685,x7686,x7687),f651(x7683,x7682,x7684,x7685,x7686,x7687))
% 178.51/178.27 [769]~E(x7691,x7692)+E(f651(x7693,x7694,x7691,x7695,x7696,x7697),f651(x7693,x7694,x7692,x7695,x7696,x7697))
% 178.51/178.27 [770]~E(x7701,x7702)+E(f651(x7703,x7704,x7705,x7701,x7706,x7707),f651(x7703,x7704,x7705,x7702,x7706,x7707))
% 178.51/178.27 [771]~E(x7711,x7712)+E(f651(x7713,x7714,x7715,x7716,x7711,x7717),f651(x7713,x7714,x7715,x7716,x7712,x7717))
% 178.51/178.27 [772]~E(x7721,x7722)+E(f651(x7723,x7724,x7725,x7726,x7727,x7721),f651(x7723,x7724,x7725,x7726,x7727,x7722))
% 178.51/178.27 [773]~E(x7731,x7732)+E(f677(x7731,x7733,x7734),f677(x7732,x7733,x7734))
% 178.51/178.27 [774]~E(x7741,x7742)+E(f677(x7743,x7741,x7744),f677(x7743,x7742,x7744))
% 178.51/178.27 [775]~E(x7751,x7752)+E(f677(x7753,x7754,x7751),f677(x7753,x7754,x7752))
% 178.51/178.27 [776]~E(x7761,x7762)+E(f877(x7761,x7763,x7764),f877(x7762,x7763,x7764))
% 178.51/178.27 [777]~E(x7771,x7772)+E(f877(x7773,x7771,x7774),f877(x7773,x7772,x7774))
% 178.51/178.27 [778]~E(x7781,x7782)+E(f877(x7783,x7784,x7781),f877(x7783,x7784,x7782))
% 178.51/178.27 [779]~E(x7791,x7792)+E(f778(x7791,x7793,x7794,x7795),f778(x7792,x7793,x7794,x7795))
% 178.51/178.27 [780]~E(x7801,x7802)+E(f778(x7803,x7801,x7804,x7805),f778(x7803,x7802,x7804,x7805))
% 178.51/178.27 [781]~E(x7811,x7812)+E(f778(x7813,x7814,x7811,x7815),f778(x7813,x7814,x7812,x7815))
% 178.51/178.27 [782]~E(x7821,x7822)+E(f778(x7823,x7824,x7825,x7821),f778(x7823,x7824,x7825,x7822))
% 178.51/178.27 [783]~E(x7831,x7832)+E(f237(x7831,x7833),f237(x7832,x7833))
% 178.51/178.27 [784]~E(x7841,x7842)+E(f237(x7843,x7841),f237(x7843,x7842))
% 178.51/178.27 [785]~E(x7851,x7852)+E(f725(x7851,x7853),f725(x7852,x7853))
% 178.51/178.27 [786]~E(x7861,x7862)+E(f725(x7863,x7861),f725(x7863,x7862))
% 178.51/178.27 [787]~E(x7871,x7872)+E(f415(x7871,x7873),f415(x7872,x7873))
% 178.51/178.27 [788]~E(x7881,x7882)+E(f415(x7883,x7881),f415(x7883,x7882))
% 178.51/178.27 [789]~E(x7891,x7892)+E(f693(x7891,x7893,x7894),f693(x7892,x7893,x7894))
% 178.51/178.27 [790]~E(x7901,x7902)+E(f693(x7903,x7901,x7904),f693(x7903,x7902,x7904))
% 178.51/178.27 [791]~E(x7911,x7912)+E(f693(x7913,x7914,x7911),f693(x7913,x7914,x7912))
% 178.51/178.27 [792]~E(x7921,x7922)+E(f897(x7921,x7923,x7924,x7925),f897(x7922,x7923,x7924,x7925))
% 178.51/178.27 [793]~E(x7931,x7932)+E(f897(x7933,x7931,x7934,x7935),f897(x7933,x7932,x7934,x7935))
% 178.51/178.27 [794]~E(x7941,x7942)+E(f897(x7943,x7944,x7941,x7945),f897(x7943,x7944,x7942,x7945))
% 178.51/178.27 [795]~E(x7951,x7952)+E(f897(x7953,x7954,x7955,x7951),f897(x7953,x7954,x7955,x7952))
% 178.51/178.27 [796]~E(x7961,x7962)+E(f870(x7961,x7963,x7964,x7965,x7966,x7967),f870(x7962,x7963,x7964,x7965,x7966,x7967))
% 178.51/178.27 [797]~E(x7971,x7972)+E(f870(x7973,x7971,x7974,x7975,x7976,x7977),f870(x7973,x7972,x7974,x7975,x7976,x7977))
% 178.51/178.27 [798]~E(x7981,x7982)+E(f870(x7983,x7984,x7981,x7985,x7986,x7987),f870(x7983,x7984,x7982,x7985,x7986,x7987))
% 178.51/178.27 [799]~E(x7991,x7992)+E(f870(x7993,x7994,x7995,x7991,x7996,x7997),f870(x7993,x7994,x7995,x7992,x7996,x7997))
% 178.51/178.27 [800]~E(x8001,x8002)+E(f870(x8003,x8004,x8005,x8006,x8001,x8007),f870(x8003,x8004,x8005,x8006,x8002,x8007))
% 178.51/178.27 [801]~E(x8011,x8012)+E(f870(x8013,x8014,x8015,x8016,x8017,x8011),f870(x8013,x8014,x8015,x8016,x8017,x8012))
% 178.51/178.27 [802]~E(x8021,x8022)+E(f527(x8021,x8023,x8024,x8025),f527(x8022,x8023,x8024,x8025))
% 178.51/178.27 [803]~E(x8031,x8032)+E(f527(x8033,x8031,x8034,x8035),f527(x8033,x8032,x8034,x8035))
% 178.51/178.27 [804]~E(x8041,x8042)+E(f527(x8043,x8044,x8041,x8045),f527(x8043,x8044,x8042,x8045))
% 178.51/178.27 [805]~E(x8051,x8052)+E(f527(x8053,x8054,x8055,x8051),f527(x8053,x8054,x8055,x8052))
% 178.51/178.27 [806]~E(x8061,x8062)+E(f305(x8061,x8063,x8064),f305(x8062,x8063,x8064))
% 178.51/178.27 [807]~E(x8071,x8072)+E(f305(x8073,x8071,x8074),f305(x8073,x8072,x8074))
% 178.51/178.27 [808]~E(x8081,x8082)+E(f305(x8083,x8084,x8081),f305(x8083,x8084,x8082))
% 178.51/178.27 [809]~E(x8091,x8092)+E(f186(x8091),f186(x8092))
% 178.51/178.27 [810]~E(x8101,x8102)+E(f131(x8101,x8103,x8104,x8105),f131(x8102,x8103,x8104,x8105))
% 178.51/178.27 [811]~E(x8111,x8112)+E(f131(x8113,x8111,x8114,x8115),f131(x8113,x8112,x8114,x8115))
% 178.51/178.27 [812]~E(x8121,x8122)+E(f131(x8123,x8124,x8121,x8125),f131(x8123,x8124,x8122,x8125))
% 178.51/178.27 [813]~E(x8131,x8132)+E(f131(x8133,x8134,x8135,x8131),f131(x8133,x8134,x8135,x8132))
% 178.51/178.27 [814]~E(x8141,x8142)+E(f514(x8141,x8143,x8144,x8145,x8146),f514(x8142,x8143,x8144,x8145,x8146))
% 178.51/178.27 [815]~E(x8151,x8152)+E(f514(x8153,x8151,x8154,x8155,x8156),f514(x8153,x8152,x8154,x8155,x8156))
% 178.51/178.27 [816]~E(x8161,x8162)+E(f514(x8163,x8164,x8161,x8165,x8166),f514(x8163,x8164,x8162,x8165,x8166))
% 178.51/178.27 [817]~E(x8171,x8172)+E(f514(x8173,x8174,x8175,x8171,x8176),f514(x8173,x8174,x8175,x8172,x8176))
% 178.51/178.27 [818]~E(x8181,x8182)+E(f514(x8183,x8184,x8185,x8186,x8181),f514(x8183,x8184,x8185,x8186,x8182))
% 178.51/178.27 [819]~E(x8191,x8192)+E(f552(x8191,x8193),f552(x8192,x8193))
% 178.51/178.27 [820]~E(x8201,x8202)+E(f552(x8203,x8201),f552(x8203,x8202))
% 178.51/178.27 [821]~E(x8211,x8212)+E(f249(x8211,x8213,x8214),f249(x8212,x8213,x8214))
% 178.51/178.27 [822]~E(x8221,x8222)+E(f249(x8223,x8221,x8224),f249(x8223,x8222,x8224))
% 178.51/178.27 [823]~E(x8231,x8232)+E(f249(x8233,x8234,x8231),f249(x8233,x8234,x8232))
% 178.51/178.27 [824]~E(x8241,x8242)+E(f340(x8241,x8243,x8244),f340(x8242,x8243,x8244))
% 178.51/178.27 [825]~E(x8251,x8252)+E(f340(x8253,x8251,x8254),f340(x8253,x8252,x8254))
% 178.51/178.27 [826]~E(x8261,x8262)+E(f340(x8263,x8264,x8261),f340(x8263,x8264,x8262))
% 178.51/178.27 [827]~E(x8271,x8272)+E(f535(x8271,x8273,x8274,x8275,x8276),f535(x8272,x8273,x8274,x8275,x8276))
% 178.51/178.27 [828]~E(x8281,x8282)+E(f535(x8283,x8281,x8284,x8285,x8286),f535(x8283,x8282,x8284,x8285,x8286))
% 178.51/178.27 [829]~E(x8291,x8292)+E(f535(x8293,x8294,x8291,x8295,x8296),f535(x8293,x8294,x8292,x8295,x8296))
% 178.51/178.27 [830]~E(x8301,x8302)+E(f535(x8303,x8304,x8305,x8301,x8306),f535(x8303,x8304,x8305,x8302,x8306))
% 178.51/178.27 [831]~E(x8311,x8312)+E(f535(x8313,x8314,x8315,x8316,x8311),f535(x8313,x8314,x8315,x8316,x8312))
% 178.51/178.27 [832]~E(x8321,x8322)+E(f439(x8321,x8323,x8324,x8325),f439(x8322,x8323,x8324,x8325))
% 178.51/178.27 [833]~E(x8331,x8332)+E(f439(x8333,x8331,x8334,x8335),f439(x8333,x8332,x8334,x8335))
% 178.51/178.27 [834]~E(x8341,x8342)+E(f439(x8343,x8344,x8341,x8345),f439(x8343,x8344,x8342,x8345))
% 178.51/178.27 [835]~E(x8351,x8352)+E(f439(x8353,x8354,x8355,x8351),f439(x8353,x8354,x8355,x8352))
% 178.51/178.27 [836]~E(x8361,x8362)+E(f649(x8361,x8363,x8364,x8365,x8366,x8367),f649(x8362,x8363,x8364,x8365,x8366,x8367))
% 178.51/178.27 [837]~E(x8371,x8372)+E(f649(x8373,x8371,x8374,x8375,x8376,x8377),f649(x8373,x8372,x8374,x8375,x8376,x8377))
% 178.51/178.27 [838]~E(x8381,x8382)+E(f649(x8383,x8384,x8381,x8385,x8386,x8387),f649(x8383,x8384,x8382,x8385,x8386,x8387))
% 178.51/178.27 [839]~E(x8391,x8392)+E(f649(x8393,x8394,x8395,x8391,x8396,x8397),f649(x8393,x8394,x8395,x8392,x8396,x8397))
% 178.51/178.27 [840]~E(x8401,x8402)+E(f649(x8403,x8404,x8405,x8406,x8401,x8407),f649(x8403,x8404,x8405,x8406,x8402,x8407))
% 178.51/178.27 [841]~E(x8411,x8412)+E(f649(x8413,x8414,x8415,x8416,x8417,x8411),f649(x8413,x8414,x8415,x8416,x8417,x8412))
% 178.51/178.27 [842]~E(x8421,x8422)+E(f452(x8421,x8423,x8424,x8425),f452(x8422,x8423,x8424,x8425))
% 178.51/178.27 [843]~E(x8431,x8432)+E(f452(x8433,x8431,x8434,x8435),f452(x8433,x8432,x8434,x8435))
% 178.51/178.27 [844]~E(x8441,x8442)+E(f452(x8443,x8444,x8441,x8445),f452(x8443,x8444,x8442,x8445))
% 178.51/178.27 [845]~E(x8451,x8452)+E(f452(x8453,x8454,x8455,x8451),f452(x8453,x8454,x8455,x8452))
% 178.51/178.27 [846]~E(x8461,x8462)+E(f712(x8461,x8463,x8464),f712(x8462,x8463,x8464))
% 178.51/178.27 [847]~E(x8471,x8472)+E(f712(x8473,x8471,x8474),f712(x8473,x8472,x8474))
% 178.51/178.27 [848]~E(x8481,x8482)+E(f712(x8483,x8484,x8481),f712(x8483,x8484,x8482))
% 178.51/178.27 [849]~E(x8491,x8492)+E(f46(x8491,x8493),f46(x8492,x8493))
% 178.51/178.27 [850]~E(x8501,x8502)+E(f46(x8503,x8501),f46(x8503,x8502))
% 178.51/178.27 [851]~E(x8511,x8512)+E(f493(x8511,x8513,x8514),f493(x8512,x8513,x8514))
% 178.51/178.27 [852]~E(x8521,x8522)+E(f493(x8523,x8521,x8524),f493(x8523,x8522,x8524))
% 178.51/178.27 [853]~E(x8531,x8532)+E(f493(x8533,x8534,x8531),f493(x8533,x8534,x8532))
% 178.51/178.27 [854]~E(x8541,x8542)+E(f76(x8541,x8543,x8544,x8545),f76(x8542,x8543,x8544,x8545))
% 178.51/178.27 [855]~E(x8551,x8552)+E(f76(x8553,x8551,x8554,x8555),f76(x8553,x8552,x8554,x8555))
% 178.51/178.27 [856]~E(x8561,x8562)+E(f76(x8563,x8564,x8561,x8565),f76(x8563,x8564,x8562,x8565))
% 178.51/178.27 [857]~E(x8571,x8572)+E(f76(x8573,x8574,x8575,x8571),f76(x8573,x8574,x8575,x8572))
% 178.51/178.27 [858]~E(x8581,x8582)+E(f863(x8581,x8583,x8584),f863(x8582,x8583,x8584))
% 178.51/178.27 [859]~E(x8591,x8592)+E(f863(x8593,x8591,x8594),f863(x8593,x8592,x8594))
% 178.51/178.27 [860]~E(x8601,x8602)+E(f863(x8603,x8604,x8601),f863(x8603,x8604,x8602))
% 178.51/178.27 [861]~E(x8611,x8612)+E(f846(x8611,x8613,x8614,x8615,x8616,x8617,x8618,x8619),f846(x8612,x8613,x8614,x8615,x8616,x8617,x8618,x8619))
% 178.51/178.27 [862]~E(x8621,x8622)+E(f846(x8623,x8621,x8624,x8625,x8626,x8627,x8628,x8629),f846(x8623,x8622,x8624,x8625,x8626,x8627,x8628,x8629))
% 178.51/178.27 [863]~E(x8631,x8632)+E(f846(x8633,x8634,x8631,x8635,x8636,x8637,x8638,x8639),f846(x8633,x8634,x8632,x8635,x8636,x8637,x8638,x8639))
% 178.51/178.27 [864]~E(x8641,x8642)+E(f846(x8643,x8644,x8645,x8641,x8646,x8647,x8648,x8649),f846(x8643,x8644,x8645,x8642,x8646,x8647,x8648,x8649))
% 178.51/178.27 [865]~E(x8651,x8652)+E(f846(x8653,x8654,x8655,x8656,x8651,x8657,x8658,x8659),f846(x8653,x8654,x8655,x8656,x8652,x8657,x8658,x8659))
% 178.51/178.27 [866]~E(x8661,x8662)+E(f846(x8663,x8664,x8665,x8666,x8667,x8661,x8668,x8669),f846(x8663,x8664,x8665,x8666,x8667,x8662,x8668,x8669))
% 178.51/178.27 [867]~E(x8671,x8672)+E(f846(x8673,x8674,x8675,x8676,x8677,x8678,x8671,x8679),f846(x8673,x8674,x8675,x8676,x8677,x8678,x8672,x8679))
% 178.51/178.27 [868]~E(x8681,x8682)+E(f846(x8683,x8684,x8685,x8686,x8687,x8688,x8689,x8681),f846(x8683,x8684,x8685,x8686,x8687,x8688,x8689,x8682))
% 178.51/178.27 [869]~E(x8691,x8692)+E(f381(x8691),f381(x8692))
% 178.51/178.27 [870]~E(x8701,x8702)+E(f421(x8701,x8703,x8704,x8705,x8706),f421(x8702,x8703,x8704,x8705,x8706))
% 178.51/178.27 [871]~E(x8711,x8712)+E(f421(x8713,x8711,x8714,x8715,x8716),f421(x8713,x8712,x8714,x8715,x8716))
% 178.51/178.27 [872]~E(x8721,x8722)+E(f421(x8723,x8724,x8721,x8725,x8726),f421(x8723,x8724,x8722,x8725,x8726))
% 178.51/178.27 [873]~E(x8731,x8732)+E(f421(x8733,x8734,x8735,x8731,x8736),f421(x8733,x8734,x8735,x8732,x8736))
% 178.51/178.27 [874]~E(x8741,x8742)+E(f421(x8743,x8744,x8745,x8746,x8741),f421(x8743,x8744,x8745,x8746,x8742))
% 178.51/178.27 [875]~E(x8751,x8752)+E(f508(x8751,x8753,x8754),f508(x8752,x8753,x8754))
% 178.51/178.27 [876]~E(x8761,x8762)+E(f508(x8763,x8761,x8764),f508(x8763,x8762,x8764))
% 178.51/178.27 [877]~E(x8771,x8772)+E(f508(x8773,x8774,x8771),f508(x8773,x8774,x8772))
% 178.51/178.27 [878]~E(x8781,x8782)+E(f794(x8781,x8783,x8784,x8785),f794(x8782,x8783,x8784,x8785))
% 178.51/178.27 [879]~E(x8791,x8792)+E(f794(x8793,x8791,x8794,x8795),f794(x8793,x8792,x8794,x8795))
% 178.51/178.27 [880]~E(x8801,x8802)+E(f794(x8803,x8804,x8801,x8805),f794(x8803,x8804,x8802,x8805))
% 178.51/178.27 [881]~E(x8811,x8812)+E(f794(x8813,x8814,x8815,x8811),f794(x8813,x8814,x8815,x8812))
% 178.51/178.27 [882]~E(x8821,x8822)+E(f198(x8821,x8823,x8824,x8825),f198(x8822,x8823,x8824,x8825))
% 178.51/178.27 [883]~E(x8831,x8832)+E(f198(x8833,x8831,x8834,x8835),f198(x8833,x8832,x8834,x8835))
% 178.51/178.27 [884]~E(x8841,x8842)+E(f198(x8843,x8844,x8841,x8845),f198(x8843,x8844,x8842,x8845))
% 178.51/178.27 [885]~E(x8851,x8852)+E(f198(x8853,x8854,x8855,x8851),f198(x8853,x8854,x8855,x8852))
% 178.51/178.27 [886]~E(x8861,x8862)+E(f363(x8861,x8863,x8864),f363(x8862,x8863,x8864))
% 178.51/178.27 [887]~E(x8871,x8872)+E(f363(x8873,x8871,x8874),f363(x8873,x8872,x8874))
% 178.51/178.27 [888]~E(x8881,x8882)+E(f363(x8883,x8884,x8881),f363(x8883,x8884,x8882))
% 178.51/178.27 [889]~E(x8891,x8892)+E(f861(x8891,x8893,x8894),f861(x8892,x8893,x8894))
% 178.51/178.27 [890]~E(x8901,x8902)+E(f861(x8903,x8901,x8904),f861(x8903,x8902,x8904))
% 178.51/178.27 [891]~E(x8911,x8912)+E(f861(x8913,x8914,x8911),f861(x8913,x8914,x8912))
% 178.51/178.27 [892]~E(x8921,x8922)+E(f697(x8921,x8923,x8924,x8925),f697(x8922,x8923,x8924,x8925))
% 178.51/178.27 [893]~E(x8931,x8932)+E(f697(x8933,x8931,x8934,x8935),f697(x8933,x8932,x8934,x8935))
% 178.51/178.27 [894]~E(x8941,x8942)+E(f697(x8943,x8944,x8941,x8945),f697(x8943,x8944,x8942,x8945))
% 178.51/178.27 [895]~E(x8951,x8952)+E(f697(x8953,x8954,x8955,x8951),f697(x8953,x8954,x8955,x8952))
% 178.51/178.27 [896]~E(x8961,x8962)+E(f761(x8961,x8963,x8964),f761(x8962,x8963,x8964))
% 178.51/178.27 [897]~E(x8971,x8972)+E(f761(x8973,x8971,x8974),f761(x8973,x8972,x8974))
% 178.51/178.27 [898]~E(x8981,x8982)+E(f761(x8983,x8984,x8981),f761(x8983,x8984,x8982))
% 178.51/178.27 [899]~E(x8991,x8992)+E(f702(x8991,x8993),f702(x8992,x8993))
% 178.51/178.27 [900]~E(x9001,x9002)+E(f702(x9003,x9001),f702(x9003,x9002))
% 178.51/178.27 [901]~E(x9011,x9012)+E(f244(x9011,x9013,x9014),f244(x9012,x9013,x9014))
% 178.51/178.27 [902]~E(x9021,x9022)+E(f244(x9023,x9021,x9024),f244(x9023,x9022,x9024))
% 178.51/178.27 [903]~E(x9031,x9032)+E(f244(x9033,x9034,x9031),f244(x9033,x9034,x9032))
% 178.51/178.27 [904]~E(x9041,x9042)+E(f547(x9041,x9043,x9044,x9045,x9046,x9047),f547(x9042,x9043,x9044,x9045,x9046,x9047))
% 178.51/178.27 [905]~E(x9051,x9052)+E(f547(x9053,x9051,x9054,x9055,x9056,x9057),f547(x9053,x9052,x9054,x9055,x9056,x9057))
% 178.51/178.27 [906]~E(x9061,x9062)+E(f547(x9063,x9064,x9061,x9065,x9066,x9067),f547(x9063,x9064,x9062,x9065,x9066,x9067))
% 178.51/178.27 [907]~E(x9071,x9072)+E(f547(x9073,x9074,x9075,x9071,x9076,x9077),f547(x9073,x9074,x9075,x9072,x9076,x9077))
% 178.51/178.27 [908]~E(x9081,x9082)+E(f547(x9083,x9084,x9085,x9086,x9081,x9087),f547(x9083,x9084,x9085,x9086,x9082,x9087))
% 178.51/178.27 [909]~E(x9091,x9092)+E(f547(x9093,x9094,x9095,x9096,x9097,x9091),f547(x9093,x9094,x9095,x9096,x9097,x9092))
% 178.51/178.27 [910]~E(x9101,x9102)+E(f67(x9101,x9103,x9104),f67(x9102,x9103,x9104))
% 178.51/178.27 [911]~E(x9111,x9112)+E(f67(x9113,x9111,x9114),f67(x9113,x9112,x9114))
% 178.51/178.27 [912]~E(x9121,x9122)+E(f67(x9123,x9124,x9121),f67(x9123,x9124,x9122))
% 178.51/178.27 [913]~E(x9131,x9132)+E(f192(x9131,x9133),f192(x9132,x9133))
% 178.51/178.27 [914]~E(x9141,x9142)+E(f192(x9143,x9141),f192(x9143,x9142))
% 178.51/178.27 [915]~E(x9151,x9152)+E(f260(x9151,x9153,x9154,x9155,x9156),f260(x9152,x9153,x9154,x9155,x9156))
% 178.51/178.27 [916]~E(x9161,x9162)+E(f260(x9163,x9161,x9164,x9165,x9166),f260(x9163,x9162,x9164,x9165,x9166))
% 178.51/178.27 [917]~E(x9171,x9172)+E(f260(x9173,x9174,x9171,x9175,x9176),f260(x9173,x9174,x9172,x9175,x9176))
% 178.51/178.27 [918]~E(x9181,x9182)+E(f260(x9183,x9184,x9185,x9181,x9186),f260(x9183,x9184,x9185,x9182,x9186))
% 178.51/178.27 [919]~E(x9191,x9192)+E(f260(x9193,x9194,x9195,x9196,x9191),f260(x9193,x9194,x9195,x9196,x9192))
% 178.51/178.27 [920]~E(x9201,x9202)+E(f121(x9201,x9203),f121(x9202,x9203))
% 178.51/178.27 [921]~E(x9211,x9212)+E(f121(x9213,x9211),f121(x9213,x9212))
% 178.51/178.27 [922]~E(x9221,x9222)+E(f679(x9221,x9223,x9224),f679(x9222,x9223,x9224))
% 178.51/178.27 [923]~E(x9231,x9232)+E(f679(x9233,x9231,x9234),f679(x9233,x9232,x9234))
% 178.51/178.27 [924]~E(x9241,x9242)+E(f679(x9243,x9244,x9241),f679(x9243,x9244,x9242))
% 178.51/178.27 [925]~E(x9251,x9252)+E(f206(x9251,x9253,x9254,x9255),f206(x9252,x9253,x9254,x9255))
% 178.51/178.27 [926]~E(x9261,x9262)+E(f206(x9263,x9261,x9264,x9265),f206(x9263,x9262,x9264,x9265))
% 178.51/178.27 [927]~E(x9271,x9272)+E(f206(x9273,x9274,x9271,x9275),f206(x9273,x9274,x9272,x9275))
% 178.51/178.27 [928]~E(x9281,x9282)+E(f206(x9283,x9284,x9285,x9281),f206(x9283,x9284,x9285,x9282))
% 178.51/178.27 [929]~E(x9291,x9292)+E(f594(x9291,x9293,x9294,x9295,x9296,x9297),f594(x9292,x9293,x9294,x9295,x9296,x9297))
% 178.51/178.27 [930]~E(x9301,x9302)+E(f594(x9303,x9301,x9304,x9305,x9306,x9307),f594(x9303,x9302,x9304,x9305,x9306,x9307))
% 178.51/178.27 [931]~E(x9311,x9312)+E(f594(x9313,x9314,x9311,x9315,x9316,x9317),f594(x9313,x9314,x9312,x9315,x9316,x9317))
% 178.51/178.27 [932]~E(x9321,x9322)+E(f594(x9323,x9324,x9325,x9321,x9326,x9327),f594(x9323,x9324,x9325,x9322,x9326,x9327))
% 178.51/178.27 [933]~E(x9331,x9332)+E(f594(x9333,x9334,x9335,x9336,x9331,x9337),f594(x9333,x9334,x9335,x9336,x9332,x9337))
% 178.51/178.27 [934]~E(x9341,x9342)+E(f594(x9343,x9344,x9345,x9346,x9347,x9341),f594(x9343,x9344,x9345,x9346,x9347,x9342))
% 178.51/178.27 [935]~E(x9351,x9352)+E(f254(x9351,x9353,x9354,x9355),f254(x9352,x9353,x9354,x9355))
% 178.51/178.27 [936]~E(x9361,x9362)+E(f254(x9363,x9361,x9364,x9365),f254(x9363,x9362,x9364,x9365))
% 178.51/178.27 [937]~E(x9371,x9372)+E(f254(x9373,x9374,x9371,x9375),f254(x9373,x9374,x9372,x9375))
% 178.51/178.27 [938]~E(x9381,x9382)+E(f254(x9383,x9384,x9385,x9381),f254(x9383,x9384,x9385,x9382))
% 178.51/178.27 [939]~E(x9391,x9392)+E(f524(x9391,x9393,x9394,x9395),f524(x9392,x9393,x9394,x9395))
% 178.51/178.27 [940]~E(x9401,x9402)+E(f524(x9403,x9401,x9404,x9405),f524(x9403,x9402,x9404,x9405))
% 178.51/178.27 [941]~E(x9411,x9412)+E(f524(x9413,x9414,x9411,x9415),f524(x9413,x9414,x9412,x9415))
% 178.51/178.27 [942]~E(x9421,x9422)+E(f524(x9423,x9424,x9425,x9421),f524(x9423,x9424,x9425,x9422))
% 178.51/178.27 [943]~E(x9431,x9432)+E(f775(x9431,x9433),f775(x9432,x9433))
% 178.51/178.27 [944]~E(x9441,x9442)+E(f775(x9443,x9441),f775(x9443,x9442))
% 178.51/178.27 [945]~E(x9451,x9452)+E(f825(x9451,x9453),f825(x9452,x9453))
% 178.51/178.27 [946]~E(x9461,x9462)+E(f825(x9463,x9461),f825(x9463,x9462))
% 178.51/178.27 [947]~E(x9471,x9472)+E(f503(x9471,x9473,x9474,x9475,x9476),f503(x9472,x9473,x9474,x9475,x9476))
% 178.51/178.27 [948]~E(x9481,x9482)+E(f503(x9483,x9481,x9484,x9485,x9486),f503(x9483,x9482,x9484,x9485,x9486))
% 178.51/178.27 [949]~E(x9491,x9492)+E(f503(x9493,x9494,x9491,x9495,x9496),f503(x9493,x9494,x9492,x9495,x9496))
% 178.51/178.27 [950]~E(x9501,x9502)+E(f503(x9503,x9504,x9505,x9501,x9506),f503(x9503,x9504,x9505,x9502,x9506))
% 178.51/178.27 [951]~E(x9511,x9512)+E(f503(x9513,x9514,x9515,x9516,x9511),f503(x9513,x9514,x9515,x9516,x9512))
% 178.51/178.27 [952]~E(x9521,x9522)+E(f798(x9521,x9523),f798(x9522,x9523))
% 178.51/178.27 [953]~E(x9531,x9532)+E(f798(x9533,x9531),f798(x9533,x9532))
% 178.51/178.27 [954]~E(x9541,x9542)+E(f293(x9541,x9543,x9544),f293(x9542,x9543,x9544))
% 178.51/178.27 [955]~E(x9551,x9552)+E(f293(x9553,x9551,x9554),f293(x9553,x9552,x9554))
% 178.51/178.27 [956]~E(x9561,x9562)+E(f293(x9563,x9564,x9561),f293(x9563,x9564,x9562))
% 178.51/178.27 [957]~E(x9571,x9572)+E(f269(x9571,x9573),f269(x9572,x9573))
% 178.51/178.27 [958]~E(x9581,x9582)+E(f269(x9583,x9581),f269(x9583,x9582))
% 178.51/178.27 [959]~E(x9591,x9592)+E(f842(x9591,x9593,x9594,x9595,x9596,x9597,x9598,x9599),f842(x9592,x9593,x9594,x9595,x9596,x9597,x9598,x9599))
% 178.51/178.27 [960]~E(x9601,x9602)+E(f842(x9603,x9601,x9604,x9605,x9606,x9607,x9608,x9609),f842(x9603,x9602,x9604,x9605,x9606,x9607,x9608,x9609))
% 178.51/178.27 [961]~E(x9611,x9612)+E(f842(x9613,x9614,x9611,x9615,x9616,x9617,x9618,x9619),f842(x9613,x9614,x9612,x9615,x9616,x9617,x9618,x9619))
% 178.51/178.27 [962]~E(x9621,x9622)+E(f842(x9623,x9624,x9625,x9621,x9626,x9627,x9628,x9629),f842(x9623,x9624,x9625,x9622,x9626,x9627,x9628,x9629))
% 178.51/178.27 [963]~E(x9631,x9632)+E(f842(x9633,x9634,x9635,x9636,x9631,x9637,x9638,x9639),f842(x9633,x9634,x9635,x9636,x9632,x9637,x9638,x9639))
% 178.51/178.27 [964]~E(x9641,x9642)+E(f842(x9643,x9644,x9645,x9646,x9647,x9641,x9648,x9649),f842(x9643,x9644,x9645,x9646,x9647,x9642,x9648,x9649))
% 178.51/178.27 [965]~E(x9651,x9652)+E(f842(x9653,x9654,x9655,x9656,x9657,x9658,x9651,x9659),f842(x9653,x9654,x9655,x9656,x9657,x9658,x9652,x9659))
% 178.51/178.27 [966]~E(x9661,x9662)+E(f842(x9663,x9664,x9665,x9666,x9667,x9668,x9669,x9661),f842(x9663,x9664,x9665,x9666,x9667,x9668,x9669,x9662))
% 178.51/178.27 [967]~E(x9671,x9672)+E(f660(x9671,x9673,x9674,x9675),f660(x9672,x9673,x9674,x9675))
% 178.51/178.27 [968]~E(x9681,x9682)+E(f660(x9683,x9681,x9684,x9685),f660(x9683,x9682,x9684,x9685))
% 178.51/178.27 [969]~E(x9691,x9692)+E(f660(x9693,x9694,x9691,x9695),f660(x9693,x9694,x9692,x9695))
% 178.51/178.27 [970]~E(x9701,x9702)+E(f660(x9703,x9704,x9705,x9701),f660(x9703,x9704,x9705,x9702))
% 178.51/178.27 [971]~E(x9711,x9712)+E(f881(x9711,x9713,x9714),f881(x9712,x9713,x9714))
% 178.51/178.27 [972]~E(x9721,x9722)+E(f881(x9723,x9721,x9724),f881(x9723,x9722,x9724))
% 178.51/178.27 [973]~E(x9731,x9732)+E(f881(x9733,x9734,x9731),f881(x9733,x9734,x9732))
% 178.51/178.27 [974]~E(x9741,x9742)+E(f730(x9741,x9743),f730(x9742,x9743))
% 178.51/178.27 [975]~E(x9751,x9752)+E(f730(x9753,x9751),f730(x9753,x9752))
% 178.51/178.27 [976]~E(x9761,x9762)+E(f765(x9761,x9763,x9764),f765(x9762,x9763,x9764))
% 178.51/178.27 [977]~E(x9771,x9772)+E(f765(x9773,x9771,x9774),f765(x9773,x9772,x9774))
% 178.51/178.27 [978]~E(x9781,x9782)+E(f765(x9783,x9784,x9781),f765(x9783,x9784,x9782))
% 178.51/178.27 [979]~E(x9791,x9792)+E(f135(x9791),f135(x9792))
% 178.51/178.27 [980]~E(x9801,x9802)+E(f287(x9801,x9803),f287(x9802,x9803))
% 178.51/178.27 [981]~E(x9811,x9812)+E(f287(x9813,x9811),f287(x9813,x9812))
% 178.51/178.27 [982]~E(x9821,x9822)+E(f209(x9821,x9823,x9824,x9825),f209(x9822,x9823,x9824,x9825))
% 178.51/178.27 [983]~E(x9831,x9832)+E(f209(x9833,x9831,x9834,x9835),f209(x9833,x9832,x9834,x9835))
% 178.51/178.27 [984]~E(x9841,x9842)+E(f209(x9843,x9844,x9841,x9845),f209(x9843,x9844,x9842,x9845))
% 178.51/178.27 [985]~E(x9851,x9852)+E(f209(x9853,x9854,x9855,x9851),f209(x9853,x9854,x9855,x9852))
% 178.51/178.27 [986]~E(x9861,x9862)+E(f359(x9861,x9863,x9864,x9865),f359(x9862,x9863,x9864,x9865))
% 178.51/178.27 [987]~E(x9871,x9872)+E(f359(x9873,x9871,x9874,x9875),f359(x9873,x9872,x9874,x9875))
% 178.51/178.27 [988]~E(x9881,x9882)+E(f359(x9883,x9884,x9881,x9885),f359(x9883,x9884,x9882,x9885))
% 178.51/178.27 [989]~E(x9891,x9892)+E(f359(x9893,x9894,x9895,x9891),f359(x9893,x9894,x9895,x9892))
% 178.51/178.27 [990]~E(x9901,x9902)+E(f868(x9901,x9903,x9904),f868(x9902,x9903,x9904))
% 178.51/178.27 [991]~E(x9911,x9912)+E(f868(x9913,x9911,x9914),f868(x9913,x9912,x9914))
% 178.51/178.27 [992]~E(x9921,x9922)+E(f868(x9923,x9924,x9921),f868(x9923,x9924,x9922))
% 178.51/178.27 [993]~E(x9931,x9932)+E(f560(x9931,x9933,x9934,x9935),f560(x9932,x9933,x9934,x9935))
% 178.51/178.27 [994]~E(x9941,x9942)+E(f560(x9943,x9941,x9944,x9945),f560(x9943,x9942,x9944,x9945))
% 178.51/178.27 [995]~E(x9951,x9952)+E(f560(x9953,x9954,x9951,x9955),f560(x9953,x9954,x9952,x9955))
% 178.51/178.27 [996]~E(x9961,x9962)+E(f560(x9963,x9964,x9965,x9961),f560(x9963,x9964,x9965,x9962))
% 178.51/178.27 [997]~E(x9971,x9972)+E(f599(x9971,x9973),f599(x9972,x9973))
% 178.51/178.27 [998]~E(x9981,x9982)+E(f599(x9983,x9981),f599(x9983,x9982))
% 178.51/178.27 [999]~E(x9991,x9992)+E(f59(x9991,x9993,x9994,x9995),f59(x9992,x9993,x9994,x9995))
% 178.51/178.27 [1000]~E(x10001,x10002)+E(f59(x10003,x10001,x10004,x10005),f59(x10003,x10002,x10004,x10005))
% 178.51/178.27 [1001]~E(x10011,x10012)+E(f59(x10013,x10014,x10011,x10015),f59(x10013,x10014,x10012,x10015))
% 178.51/178.27 [1002]~E(x10021,x10022)+E(f59(x10023,x10024,x10025,x10021),f59(x10023,x10024,x10025,x10022))
% 178.51/178.27 [1003]~E(x10031,x10032)+E(f656(x10031,x10033,x10034,x10035),f656(x10032,x10033,x10034,x10035))
% 178.51/178.27 [1004]~E(x10041,x10042)+E(f656(x10043,x10041,x10044,x10045),f656(x10043,x10042,x10044,x10045))
% 178.51/178.27 [1005]~E(x10051,x10052)+E(f656(x10053,x10054,x10051,x10055),f656(x10053,x10054,x10052,x10055))
% 178.51/178.27 [1006]~E(x10061,x10062)+E(f656(x10063,x10064,x10065,x10061),f656(x10063,x10064,x10065,x10062))
% 178.51/178.27 [1007]~E(x10071,x10072)+E(f652(x10071,x10073,x10074,x10075,x10076),f652(x10072,x10073,x10074,x10075,x10076))
% 178.51/178.27 [1008]~E(x10081,x10082)+E(f652(x10083,x10081,x10084,x10085,x10086),f652(x10083,x10082,x10084,x10085,x10086))
% 178.51/178.27 [1009]~E(x10091,x10092)+E(f652(x10093,x10094,x10091,x10095,x10096),f652(x10093,x10094,x10092,x10095,x10096))
% 178.51/178.27 [1010]~E(x10101,x10102)+E(f652(x10103,x10104,x10105,x10101,x10106),f652(x10103,x10104,x10105,x10102,x10106))
% 178.51/178.27 [1011]~E(x10111,x10112)+E(f652(x10113,x10114,x10115,x10116,x10111),f652(x10113,x10114,x10115,x10116,x10112))
% 178.51/178.27 [1012]~E(x10121,x10122)+E(f444(x10121,x10123),f444(x10122,x10123))
% 178.51/178.27 [1013]~E(x10131,x10132)+E(f444(x10133,x10131),f444(x10133,x10132))
% 178.51/178.27 [1014]~E(x10141,x10142)+E(f559(x10141,x10143,x10144,x10145,x10146,x10147,x10148,x10149),f559(x10142,x10143,x10144,x10145,x10146,x10147,x10148,x10149))
% 178.51/178.27 [1015]~E(x10151,x10152)+E(f559(x10153,x10151,x10154,x10155,x10156,x10157,x10158,x10159),f559(x10153,x10152,x10154,x10155,x10156,x10157,x10158,x10159))
% 178.51/178.27 [1016]~E(x10161,x10162)+E(f559(x10163,x10164,x10161,x10165,x10166,x10167,x10168,x10169),f559(x10163,x10164,x10162,x10165,x10166,x10167,x10168,x10169))
% 178.51/178.27 [1017]~E(x10171,x10172)+E(f559(x10173,x10174,x10175,x10171,x10176,x10177,x10178,x10179),f559(x10173,x10174,x10175,x10172,x10176,x10177,x10178,x10179))
% 178.51/178.27 [1018]~E(x10181,x10182)+E(f559(x10183,x10184,x10185,x10186,x10181,x10187,x10188,x10189),f559(x10183,x10184,x10185,x10186,x10182,x10187,x10188,x10189))
% 178.51/178.27 [1019]~E(x10191,x10192)+E(f559(x10193,x10194,x10195,x10196,x10197,x10191,x10198,x10199),f559(x10193,x10194,x10195,x10196,x10197,x10192,x10198,x10199))
% 178.51/178.27 [1020]~E(x10201,x10202)+E(f559(x10203,x10204,x10205,x10206,x10207,x10208,x10201,x10209),f559(x10203,x10204,x10205,x10206,x10207,x10208,x10202,x10209))
% 178.51/178.27 [1021]~E(x10211,x10212)+E(f559(x10213,x10214,x10215,x10216,x10217,x10218,x10219,x10211),f559(x10213,x10214,x10215,x10216,x10217,x10218,x10219,x10212))
% 178.51/178.27 [1022]~E(x10221,x10222)+E(f160(x10221,x10223),f160(x10222,x10223))
% 178.51/178.27 [1023]~E(x10231,x10232)+E(f160(x10233,x10231),f160(x10233,x10232))
% 178.51/178.27 [1024]~E(x10241,x10242)+E(f723(x10241,x10243,x10244,x10245),f723(x10242,x10243,x10244,x10245))
% 178.51/178.27 [1025]~E(x10251,x10252)+E(f723(x10253,x10251,x10254,x10255),f723(x10253,x10252,x10254,x10255))
% 178.51/178.27 [1026]~E(x10261,x10262)+E(f723(x10263,x10264,x10261,x10265),f723(x10263,x10264,x10262,x10265))
% 178.51/178.27 [1027]~E(x10271,x10272)+E(f723(x10273,x10274,x10275,x10271),f723(x10273,x10274,x10275,x10272))
% 178.51/178.27 [1028]~E(x10281,x10282)+E(f43(x10281),f43(x10282))
% 178.51/178.27 [1029]~E(x10291,x10292)+E(f776(x10291,x10293,x10294,x10295),f776(x10292,x10293,x10294,x10295))
% 178.51/178.27 [1030]~E(x10301,x10302)+E(f776(x10303,x10301,x10304,x10305),f776(x10303,x10302,x10304,x10305))
% 178.51/178.27 [1031]~E(x10311,x10312)+E(f776(x10313,x10314,x10311,x10315),f776(x10313,x10314,x10312,x10315))
% 178.51/178.27 [1032]~E(x10321,x10322)+E(f776(x10323,x10324,x10325,x10321),f776(x10323,x10324,x10325,x10322))
% 178.51/178.27 [1033]~E(x10331,x10332)+E(f766(x10331,x10333,x10334),f766(x10332,x10333,x10334))
% 178.51/178.27 [1034]~E(x10341,x10342)+E(f766(x10343,x10341,x10344),f766(x10343,x10342,x10344))
% 178.51/178.27 [1035]~E(x10351,x10352)+E(f766(x10353,x10354,x10351),f766(x10353,x10354,x10352))
% 178.51/178.27 [1036]~E(x10361,x10362)+E(f423(x10361,x10363),f423(x10362,x10363))
% 178.51/178.27 [1037]~E(x10371,x10372)+E(f423(x10373,x10371),f423(x10373,x10372))
% 178.51/178.27 [1038]~E(x10381,x10382)+E(f771(x10381,x10383,x10384),f771(x10382,x10383,x10384))
% 178.51/178.27 [1039]~E(x10391,x10392)+E(f771(x10393,x10391,x10394),f771(x10393,x10392,x10394))
% 178.51/178.27 [1040]~E(x10401,x10402)+E(f771(x10403,x10404,x10401),f771(x10403,x10404,x10402))
% 178.51/178.27 [1041]~E(x10411,x10412)+E(f365(x10411,x10413,x10414),f365(x10412,x10413,x10414))
% 178.51/178.27 [1042]~E(x10421,x10422)+E(f365(x10423,x10421,x10424),f365(x10423,x10422,x10424))
% 178.51/178.27 [1043]~E(x10431,x10432)+E(f365(x10433,x10434,x10431),f365(x10433,x10434,x10432))
% 178.51/178.27 [1044]~E(x10441,x10442)+E(f499(x10441,x10443,x10444),f499(x10442,x10443,x10444))
% 178.51/178.27 [1045]~E(x10451,x10452)+E(f499(x10453,x10451,x10454),f499(x10453,x10452,x10454))
% 178.51/178.27 [1046]~E(x10461,x10462)+E(f499(x10463,x10464,x10461),f499(x10463,x10464,x10462))
% 178.51/178.27 [1047]~E(x10471,x10472)+E(f556(x10471,x10473,x10474,x10475,x10476,x10477),f556(x10472,x10473,x10474,x10475,x10476,x10477))
% 178.51/178.27 [1048]~E(x10481,x10482)+E(f556(x10483,x10481,x10484,x10485,x10486,x10487),f556(x10483,x10482,x10484,x10485,x10486,x10487))
% 178.51/178.27 [1049]~E(x10491,x10492)+E(f556(x10493,x10494,x10491,x10495,x10496,x10497),f556(x10493,x10494,x10492,x10495,x10496,x10497))
% 178.51/178.27 [1050]~E(x10501,x10502)+E(f556(x10503,x10504,x10505,x10501,x10506,x10507),f556(x10503,x10504,x10505,x10502,x10506,x10507))
% 178.51/178.27 [1051]~E(x10511,x10512)+E(f556(x10513,x10514,x10515,x10516,x10511,x10517),f556(x10513,x10514,x10515,x10516,x10512,x10517))
% 178.51/178.27 [1052]~E(x10521,x10522)+E(f556(x10523,x10524,x10525,x10526,x10527,x10521),f556(x10523,x10524,x10525,x10526,x10527,x10522))
% 178.51/178.27 [1053]~E(x10531,x10532)+E(f643(x10531,x10533,x10534,x10535,x10536),f643(x10532,x10533,x10534,x10535,x10536))
% 178.51/178.27 [1054]~E(x10541,x10542)+E(f643(x10543,x10541,x10544,x10545,x10546),f643(x10543,x10542,x10544,x10545,x10546))
% 178.51/178.27 [1055]~E(x10551,x10552)+E(f643(x10553,x10554,x10551,x10555,x10556),f643(x10553,x10554,x10552,x10555,x10556))
% 178.51/178.27 [1056]~E(x10561,x10562)+E(f643(x10563,x10564,x10565,x10561,x10566),f643(x10563,x10564,x10565,x10562,x10566))
% 178.51/178.27 [1057]~E(x10571,x10572)+E(f643(x10573,x10574,x10575,x10576,x10571),f643(x10573,x10574,x10575,x10576,x10572))
% 178.51/178.27 [1058]~E(x10581,x10582)+E(f665(x10581,x10583,x10584,x10585,x10586,x10587),f665(x10582,x10583,x10584,x10585,x10586,x10587))
% 178.51/178.27 [1059]~E(x10591,x10592)+E(f665(x10593,x10591,x10594,x10595,x10596,x10597),f665(x10593,x10592,x10594,x10595,x10596,x10597))
% 178.51/178.27 [1060]~E(x10601,x10602)+E(f665(x10603,x10604,x10601,x10605,x10606,x10607),f665(x10603,x10604,x10602,x10605,x10606,x10607))
% 178.51/178.27 [1061]~E(x10611,x10612)+E(f665(x10613,x10614,x10615,x10611,x10616,x10617),f665(x10613,x10614,x10615,x10612,x10616,x10617))
% 178.51/178.27 [1062]~E(x10621,x10622)+E(f665(x10623,x10624,x10625,x10626,x10621,x10627),f665(x10623,x10624,x10625,x10626,x10622,x10627))
% 178.51/178.27 [1063]~E(x10631,x10632)+E(f665(x10633,x10634,x10635,x10636,x10637,x10631),f665(x10633,x10634,x10635,x10636,x10637,x10632))
% 178.51/178.27 [1064]~E(x10641,x10642)+E(f841(x10641,x10643,x10644,x10645,x10646,x10647,x10648,x10649),f841(x10642,x10643,x10644,x10645,x10646,x10647,x10648,x10649))
% 178.51/178.27 [1065]~E(x10651,x10652)+E(f841(x10653,x10651,x10654,x10655,x10656,x10657,x10658,x10659),f841(x10653,x10652,x10654,x10655,x10656,x10657,x10658,x10659))
% 178.51/178.27 [1066]~E(x10661,x10662)+E(f841(x10663,x10664,x10661,x10665,x10666,x10667,x10668,x10669),f841(x10663,x10664,x10662,x10665,x10666,x10667,x10668,x10669))
% 178.51/178.27 [1067]~E(x10671,x10672)+E(f841(x10673,x10674,x10675,x10671,x10676,x10677,x10678,x10679),f841(x10673,x10674,x10675,x10672,x10676,x10677,x10678,x10679))
% 178.51/178.27 [1068]~E(x10681,x10682)+E(f841(x10683,x10684,x10685,x10686,x10681,x10687,x10688,x10689),f841(x10683,x10684,x10685,x10686,x10682,x10687,x10688,x10689))
% 178.51/178.27 [1069]~E(x10691,x10692)+E(f841(x10693,x10694,x10695,x10696,x10697,x10691,x10698,x10699),f841(x10693,x10694,x10695,x10696,x10697,x10692,x10698,x10699))
% 178.51/178.27 [1070]~E(x10701,x10702)+E(f841(x10703,x10704,x10705,x10706,x10707,x10708,x10701,x10709),f841(x10703,x10704,x10705,x10706,x10707,x10708,x10702,x10709))
% 178.51/178.27 [1071]~E(x10711,x10712)+E(f841(x10713,x10714,x10715,x10716,x10717,x10718,x10719,x10711),f841(x10713,x10714,x10715,x10716,x10717,x10718,x10719,x10712))
% 178.51/178.27 [1072]~E(x10721,x10722)+E(f445(x10721,x10723,x10724,x10725),f445(x10722,x10723,x10724,x10725))
% 178.51/178.27 [1073]~E(x10731,x10732)+E(f445(x10733,x10731,x10734,x10735),f445(x10733,x10732,x10734,x10735))
% 178.51/178.27 [1074]~E(x10741,x10742)+E(f445(x10743,x10744,x10741,x10745),f445(x10743,x10744,x10742,x10745))
% 178.51/178.27 [1075]~E(x10751,x10752)+E(f445(x10753,x10754,x10755,x10751),f445(x10753,x10754,x10755,x10752))
% 178.51/178.27 [1076]~E(x10761,x10762)+E(f465(x10761,x10763,x10764,x10765,x10766),f465(x10762,x10763,x10764,x10765,x10766))
% 178.51/178.27 [1077]~E(x10771,x10772)+E(f465(x10773,x10771,x10774,x10775,x10776),f465(x10773,x10772,x10774,x10775,x10776))
% 178.51/178.27 [1078]~E(x10781,x10782)+E(f465(x10783,x10784,x10781,x10785,x10786),f465(x10783,x10784,x10782,x10785,x10786))
% 178.51/178.27 [1079]~E(x10791,x10792)+E(f465(x10793,x10794,x10795,x10791,x10796),f465(x10793,x10794,x10795,x10792,x10796))
% 178.51/178.27 [1080]~E(x10801,x10802)+E(f465(x10803,x10804,x10805,x10806,x10801),f465(x10803,x10804,x10805,x10806,x10802))
% 178.51/178.27 [1081]~E(x10811,x10812)+E(f19(x10811,x10813,x10814,x10815),f19(x10812,x10813,x10814,x10815))
% 178.51/178.27 [1082]~E(x10821,x10822)+E(f19(x10823,x10821,x10824,x10825),f19(x10823,x10822,x10824,x10825))
% 178.51/178.27 [1083]~E(x10831,x10832)+E(f19(x10833,x10834,x10831,x10835),f19(x10833,x10834,x10832,x10835))
% 178.51/178.27 [1084]~E(x10841,x10842)+E(f19(x10843,x10844,x10845,x10841),f19(x10843,x10844,x10845,x10842))
% 178.51/178.27 [1085]~E(x10851,x10852)+E(f756(x10851,x10853,x10854),f756(x10852,x10853,x10854))
% 178.51/178.27 [1086]~E(x10861,x10862)+E(f756(x10863,x10861,x10864),f756(x10863,x10862,x10864))
% 178.51/178.27 [1087]~E(x10871,x10872)+E(f756(x10873,x10874,x10871),f756(x10873,x10874,x10872))
% 178.51/178.27 [1088]~E(x10881,x10882)+E(f366(x10881),f366(x10882))
% 178.51/178.27 [1089]~E(x10891,x10892)+E(f520(x10891,x10893,x10894,x10895),f520(x10892,x10893,x10894,x10895))
% 178.51/178.27 [1090]~E(x10901,x10902)+E(f520(x10903,x10901,x10904,x10905),f520(x10903,x10902,x10904,x10905))
% 178.51/178.27 [1091]~E(x10911,x10912)+E(f520(x10913,x10914,x10911,x10915),f520(x10913,x10914,x10912,x10915))
% 178.51/178.27 [1092]~E(x10921,x10922)+E(f520(x10923,x10924,x10925,x10921),f520(x10923,x10924,x10925,x10922))
% 178.51/178.27 [1093]~E(x10931,x10932)+E(f717(x10931,x10933,x10934),f717(x10932,x10933,x10934))
% 178.51/178.27 [1094]~E(x10941,x10942)+E(f717(x10943,x10941,x10944),f717(x10943,x10942,x10944))
% 178.51/178.27 [1095]~E(x10951,x10952)+E(f717(x10953,x10954,x10951),f717(x10953,x10954,x10952))
% 178.51/178.27 [1096]~E(x10961,x10962)+E(f784(x10961,x10963),f784(x10962,x10963))
% 178.51/178.27 [1097]~E(x10971,x10972)+E(f784(x10973,x10971),f784(x10973,x10972))
% 178.51/178.27 [1098]~E(x10981,x10982)+E(f550(x10981,x10983,x10984,x10985,x10986,x10987),f550(x10982,x10983,x10984,x10985,x10986,x10987))
% 178.51/178.27 [1099]~E(x10991,x10992)+E(f550(x10993,x10991,x10994,x10995,x10996,x10997),f550(x10993,x10992,x10994,x10995,x10996,x10997))
% 178.51/178.27 [1100]~E(x11001,x11002)+E(f550(x11003,x11004,x11001,x11005,x11006,x11007),f550(x11003,x11004,x11002,x11005,x11006,x11007))
% 178.51/178.27 [1101]~E(x11011,x11012)+E(f550(x11013,x11014,x11015,x11011,x11016,x11017),f550(x11013,x11014,x11015,x11012,x11016,x11017))
% 178.51/178.27 [1102]~E(x11021,x11022)+E(f550(x11023,x11024,x11025,x11026,x11021,x11027),f550(x11023,x11024,x11025,x11026,x11022,x11027))
% 178.51/178.27 [1103]~E(x11031,x11032)+E(f550(x11033,x11034,x11035,x11036,x11037,x11031),f550(x11033,x11034,x11035,x11036,x11037,x11032))
% 178.51/178.27 [1104]~E(x11041,x11042)+E(f869(x11041,x11043,x11044,x11045,x11046),f869(x11042,x11043,x11044,x11045,x11046))
% 178.51/178.27 [1105]~E(x11051,x11052)+E(f869(x11053,x11051,x11054,x11055,x11056),f869(x11053,x11052,x11054,x11055,x11056))
% 178.51/178.27 [1106]~E(x11061,x11062)+E(f869(x11063,x11064,x11061,x11065,x11066),f869(x11063,x11064,x11062,x11065,x11066))
% 178.51/178.27 [1107]~E(x11071,x11072)+E(f869(x11073,x11074,x11075,x11071,x11076),f869(x11073,x11074,x11075,x11072,x11076))
% 178.51/178.27 [1108]~E(x11081,x11082)+E(f869(x11083,x11084,x11085,x11086,x11081),f869(x11083,x11084,x11085,x11086,x11082))
% 178.51/178.27 [1109]~E(x11091,x11092)+E(f273(x11091,x11093,x11094),f273(x11092,x11093,x11094))
% 178.51/178.27 [1110]~E(x11101,x11102)+E(f273(x11103,x11101,x11104),f273(x11103,x11102,x11104))
% 178.51/178.27 [1111]~E(x11111,x11112)+E(f273(x11113,x11114,x11111),f273(x11113,x11114,x11112))
% 178.51/178.27 [1112]~E(x11121,x11122)+E(f768(x11121,x11123,x11124,x11125),f768(x11122,x11123,x11124,x11125))
% 178.51/178.27 [1113]~E(x11131,x11132)+E(f768(x11133,x11131,x11134,x11135),f768(x11133,x11132,x11134,x11135))
% 178.51/178.27 [1114]~E(x11141,x11142)+E(f768(x11143,x11144,x11141,x11145),f768(x11143,x11144,x11142,x11145))
% 178.51/178.27 [1115]~E(x11151,x11152)+E(f768(x11153,x11154,x11155,x11151),f768(x11153,x11154,x11155,x11152))
% 178.51/178.27 [1116]~E(x11161,x11162)+E(f230(x11161,x11163,x11164),f230(x11162,x11163,x11164))
% 178.51/178.27 [1117]~E(x11171,x11172)+E(f230(x11173,x11171,x11174),f230(x11173,x11172,x11174))
% 178.51/178.27 [1118]~E(x11181,x11182)+E(f230(x11183,x11184,x11181),f230(x11183,x11184,x11182))
% 178.51/178.27 [1119]~E(x11191,x11192)+E(f886(x11191,x11193,x11194,x11195,x11196),f886(x11192,x11193,x11194,x11195,x11196))
% 178.51/178.27 [1120]~E(x11201,x11202)+E(f886(x11203,x11201,x11204,x11205,x11206),f886(x11203,x11202,x11204,x11205,x11206))
% 178.51/178.27 [1121]~E(x11211,x11212)+E(f886(x11213,x11214,x11211,x11215,x11216),f886(x11213,x11214,x11212,x11215,x11216))
% 178.51/178.27 [1122]~E(x11221,x11222)+E(f886(x11223,x11224,x11225,x11221,x11226),f886(x11223,x11224,x11225,x11222,x11226))
% 178.51/178.27 [1123]~E(x11231,x11232)+E(f886(x11233,x11234,x11235,x11236,x11231),f886(x11233,x11234,x11235,x11236,x11232))
% 178.51/178.27 [1124]~E(x11241,x11242)+E(f426(x11241,x11243),f426(x11242,x11243))
% 178.51/178.27 [1125]~E(x11251,x11252)+E(f426(x11253,x11251),f426(x11253,x11252))
% 178.51/178.27 [1126]~E(x11261,x11262)+E(f808(x11261),f808(x11262))
% 178.51/178.27 [1127]~E(x11271,x11272)+E(f647(x11271,x11273,x11274),f647(x11272,x11273,x11274))
% 178.51/178.27 [1128]~E(x11281,x11282)+E(f647(x11283,x11281,x11284),f647(x11283,x11282,x11284))
% 178.51/178.27 [1129]~E(x11291,x11292)+E(f647(x11293,x11294,x11291),f647(x11293,x11294,x11292))
% 178.51/178.27 [1130]~E(x11301,x11302)+E(f834(x11301,x11303,x11304,x11305,x11306),f834(x11302,x11303,x11304,x11305,x11306))
% 178.51/178.27 [1131]~E(x11311,x11312)+E(f834(x11313,x11311,x11314,x11315,x11316),f834(x11313,x11312,x11314,x11315,x11316))
% 178.51/178.27 [1132]~E(x11321,x11322)+E(f834(x11323,x11324,x11321,x11325,x11326),f834(x11323,x11324,x11322,x11325,x11326))
% 178.51/178.27 [1133]~E(x11331,x11332)+E(f834(x11333,x11334,x11335,x11331,x11336),f834(x11333,x11334,x11335,x11332,x11336))
% 178.51/178.27 [1134]~E(x11341,x11342)+E(f834(x11343,x11344,x11345,x11346,x11341),f834(x11343,x11344,x11345,x11346,x11342))
% 178.51/178.27 [1135]~E(x11351,x11352)+E(f662(x11351,x11353,x11354),f662(x11352,x11353,x11354))
% 178.51/178.27 [1136]~E(x11361,x11362)+E(f662(x11363,x11361,x11364),f662(x11363,x11362,x11364))
% 178.51/178.27 [1137]~E(x11371,x11372)+E(f662(x11373,x11374,x11371),f662(x11373,x11374,x11372))
% 178.51/178.27 [1138]~E(x11381,x11382)+E(f733(x11381,x11383,x11384,x11385,x11386,x11387,x11388,x11389),f733(x11382,x11383,x11384,x11385,x11386,x11387,x11388,x11389))
% 178.51/178.27 [1139]~E(x11391,x11392)+E(f733(x11393,x11391,x11394,x11395,x11396,x11397,x11398,x11399),f733(x11393,x11392,x11394,x11395,x11396,x11397,x11398,x11399))
% 178.51/178.27 [1140]~E(x11401,x11402)+E(f733(x11403,x11404,x11401,x11405,x11406,x11407,x11408,x11409),f733(x11403,x11404,x11402,x11405,x11406,x11407,x11408,x11409))
% 178.51/178.27 [1141]~E(x11411,x11412)+E(f733(x11413,x11414,x11415,x11411,x11416,x11417,x11418,x11419),f733(x11413,x11414,x11415,x11412,x11416,x11417,x11418,x11419))
% 178.51/178.27 [1142]~E(x11421,x11422)+E(f733(x11423,x11424,x11425,x11426,x11421,x11427,x11428,x11429),f733(x11423,x11424,x11425,x11426,x11422,x11427,x11428,x11429))
% 178.51/178.27 [1143]~E(x11431,x11432)+E(f733(x11433,x11434,x11435,x11436,x11437,x11431,x11438,x11439),f733(x11433,x11434,x11435,x11436,x11437,x11432,x11438,x11439))
% 178.51/178.27 [1144]~E(x11441,x11442)+E(f733(x11443,x11444,x11445,x11446,x11447,x11448,x11441,x11449),f733(x11443,x11444,x11445,x11446,x11447,x11448,x11442,x11449))
% 178.51/178.27 [1145]~E(x11451,x11452)+E(f733(x11453,x11454,x11455,x11456,x11457,x11458,x11459,x11451),f733(x11453,x11454,x11455,x11456,x11457,x11458,x11459,x11452))
% 178.51/178.27 [1146]~E(x11461,x11462)+E(f470(x11461,x11463,x11464,x11465,x11466),f470(x11462,x11463,x11464,x11465,x11466))
% 178.51/178.27 [1147]~E(x11471,x11472)+E(f470(x11473,x11471,x11474,x11475,x11476),f470(x11473,x11472,x11474,x11475,x11476))
% 178.51/178.27 [1148]~E(x11481,x11482)+E(f470(x11483,x11484,x11481,x11485,x11486),f470(x11483,x11484,x11482,x11485,x11486))
% 178.51/178.27 [1149]~E(x11491,x11492)+E(f470(x11493,x11494,x11495,x11491,x11496),f470(x11493,x11494,x11495,x11492,x11496))
% 178.51/178.27 [1150]~E(x11501,x11502)+E(f470(x11503,x11504,x11505,x11506,x11501),f470(x11503,x11504,x11505,x11506,x11502))
% 178.51/178.27 [1151]~E(x11511,x11512)+E(f30(x11511,x11513),f30(x11512,x11513))
% 178.51/178.27 [1152]~E(x11521,x11522)+E(f30(x11523,x11521),f30(x11523,x11522))
% 178.51/178.27 [1153]~E(x11531,x11532)+E(f729(x11531,x11533),f729(x11532,x11533))
% 178.51/178.27 [1154]~E(x11541,x11542)+E(f729(x11543,x11541),f729(x11543,x11542))
% 178.51/178.27 [1155]~E(x11551,x11552)+E(f132(x11551,x11553),f132(x11552,x11553))
% 178.51/178.27 [1156]~E(x11561,x11562)+E(f132(x11563,x11561),f132(x11563,x11562))
% 178.51/178.27 [1157]~E(x11571,x11572)+E(f666(x11571,x11573),f666(x11572,x11573))
% 178.51/178.27 [1158]~E(x11581,x11582)+E(f666(x11583,x11581),f666(x11583,x11582))
% 178.51/178.27 [1159]~E(x11591,x11592)+E(f166(x11591,x11593,x11594),f166(x11592,x11593,x11594))
% 178.51/178.27 [1160]~E(x11601,x11602)+E(f166(x11603,x11601,x11604),f166(x11603,x11602,x11604))
% 178.51/178.27 [1161]~E(x11611,x11612)+E(f166(x11613,x11614,x11611),f166(x11613,x11614,x11612))
% 178.51/178.27 [1162]~E(x11621,x11622)+E(f173(x11621,x11623,x11624),f173(x11622,x11623,x11624))
% 178.51/178.27 [1163]~E(x11631,x11632)+E(f173(x11633,x11631,x11634),f173(x11633,x11632,x11634))
% 178.51/178.27 [1164]~E(x11641,x11642)+E(f173(x11643,x11644,x11641),f173(x11643,x11644,x11642))
% 178.51/178.27 [1165]~E(x11651,x11652)+E(f904(x11651,x11653,x11654,x11655),f904(x11652,x11653,x11654,x11655))
% 178.51/178.27 [1166]~E(x11661,x11662)+E(f904(x11663,x11661,x11664,x11665),f904(x11663,x11662,x11664,x11665))
% 178.51/178.27 [1167]~E(x11671,x11672)+E(f904(x11673,x11674,x11671,x11675),f904(x11673,x11674,x11672,x11675))
% 178.51/178.27 [1168]~E(x11681,x11682)+E(f904(x11683,x11684,x11685,x11681),f904(x11683,x11684,x11685,x11682))
% 178.51/178.27 [1169]~E(x11691,x11692)+E(f451(x11691,x11693,x11694,x11695),f451(x11692,x11693,x11694,x11695))
% 178.51/178.27 [1170]~E(x11701,x11702)+E(f451(x11703,x11701,x11704,x11705),f451(x11703,x11702,x11704,x11705))
% 178.51/178.27 [1171]~E(x11711,x11712)+E(f451(x11713,x11714,x11711,x11715),f451(x11713,x11714,x11712,x11715))
% 178.51/178.27 [1172]~E(x11721,x11722)+E(f451(x11723,x11724,x11725,x11721),f451(x11723,x11724,x11725,x11722))
% 178.51/178.27 [1173]~E(x11731,x11732)+E(f116(x11731,x11733,x11734),f116(x11732,x11733,x11734))
% 178.51/178.27 [1174]~E(x11741,x11742)+E(f116(x11743,x11741,x11744),f116(x11743,x11742,x11744))
% 178.51/178.27 [1175]~E(x11751,x11752)+E(f116(x11753,x11754,x11751),f116(x11753,x11754,x11752))
% 178.51/178.27 [1176]~E(x11761,x11762)+E(f800(x11761),f800(x11762))
% 178.51/178.27 [1177]~E(x11771,x11772)+E(f361(x11771,x11773,x11774,x11775),f361(x11772,x11773,x11774,x11775))
% 178.51/178.27 [1178]~E(x11781,x11782)+E(f361(x11783,x11781,x11784,x11785),f361(x11783,x11782,x11784,x11785))
% 178.51/178.27 [1179]~E(x11791,x11792)+E(f361(x11793,x11794,x11791,x11795),f361(x11793,x11794,x11792,x11795))
% 178.51/178.27 [1180]~E(x11801,x11802)+E(f361(x11803,x11804,x11805,x11801),f361(x11803,x11804,x11805,x11802))
% 178.51/178.27 [1181]~E(x11811,x11812)+E(f87(x11811),f87(x11812))
% 178.51/178.27 [1182]~E(x11821,x11822)+E(f417(x11821,x11823),f417(x11822,x11823))
% 178.51/178.27 [1183]~E(x11831,x11832)+E(f417(x11833,x11831),f417(x11833,x11832))
% 178.51/178.27 [1184]~E(x11841,x11842)+E(f664(x11841,x11843,x11844,x11845),f664(x11842,x11843,x11844,x11845))
% 178.51/178.27 [1185]~E(x11851,x11852)+E(f664(x11853,x11851,x11854,x11855),f664(x11853,x11852,x11854,x11855))
% 178.51/178.27 [1186]~E(x11861,x11862)+E(f664(x11863,x11864,x11861,x11865),f664(x11863,x11864,x11862,x11865))
% 178.51/178.27 [1187]~E(x11871,x11872)+E(f664(x11873,x11874,x11875,x11871),f664(x11873,x11874,x11875,x11872))
% 178.51/178.27 [1188]~E(x11881,x11882)+E(f551(x11881,x11883,x11884,x11885),f551(x11882,x11883,x11884,x11885))
% 178.51/178.27 [1189]~E(x11891,x11892)+E(f551(x11893,x11891,x11894,x11895),f551(x11893,x11892,x11894,x11895))
% 178.51/178.27 [1190]~E(x11901,x11902)+E(f551(x11903,x11904,x11901,x11905),f551(x11903,x11904,x11902,x11905))
% 178.51/178.27 [1191]~E(x11911,x11912)+E(f551(x11913,x11914,x11915,x11911),f551(x11913,x11914,x11915,x11912))
% 178.51/178.27 [1192]~E(x11921,x11922)+E(f199(x11921,x11923),f199(x11922,x11923))
% 178.51/178.27 [1193]~E(x11931,x11932)+E(f199(x11933,x11931),f199(x11933,x11932))
% 178.51/178.27 [1194]~E(x11941,x11942)+E(f814(x11941,x11943,x11944,x11945,x11946,x11947),f814(x11942,x11943,x11944,x11945,x11946,x11947))
% 178.51/178.27 [1195]~E(x11951,x11952)+E(f814(x11953,x11951,x11954,x11955,x11956,x11957),f814(x11953,x11952,x11954,x11955,x11956,x11957))
% 178.51/178.27 [1196]~E(x11961,x11962)+E(f814(x11963,x11964,x11961,x11965,x11966,x11967),f814(x11963,x11964,x11962,x11965,x11966,x11967))
% 178.51/178.27 [1197]~E(x11971,x11972)+E(f814(x11973,x11974,x11975,x11971,x11976,x11977),f814(x11973,x11974,x11975,x11972,x11976,x11977))
% 178.51/178.27 [1198]~E(x11981,x11982)+E(f814(x11983,x11984,x11985,x11986,x11981,x11987),f814(x11983,x11984,x11985,x11986,x11982,x11987))
% 178.51/178.27 [1199]~E(x11991,x11992)+E(f814(x11993,x11994,x11995,x11996,x11997,x11991),f814(x11993,x11994,x11995,x11996,x11997,x11992))
% 178.51/178.27 [1200]~E(x12001,x12002)+E(f129(x12001),f129(x12002))
% 178.51/178.27 [1201]~E(x12011,x12012)+E(f673(x12011,x12013,x12014),f673(x12012,x12013,x12014))
% 178.51/178.27 [1202]~E(x12021,x12022)+E(f673(x12023,x12021,x12024),f673(x12023,x12022,x12024))
% 178.51/178.27 [1203]~E(x12031,x12032)+E(f673(x12033,x12034,x12031),f673(x12033,x12034,x12032))
% 178.51/178.27 [1204]~E(x12041,x12042)+E(f276(x12041,x12043,x12044,x12045),f276(x12042,x12043,x12044,x12045))
% 178.51/178.27 [1205]~E(x12051,x12052)+E(f276(x12053,x12051,x12054,x12055),f276(x12053,x12052,x12054,x12055))
% 178.51/178.27 [1206]~E(x12061,x12062)+E(f276(x12063,x12064,x12061,x12065),f276(x12063,x12064,x12062,x12065))
% 178.51/178.27 [1207]~E(x12071,x12072)+E(f276(x12073,x12074,x12075,x12071),f276(x12073,x12074,x12075,x12072))
% 178.51/178.27 [1208]~E(x12081,x12082)+E(f787(x12081,x12083,x12084),f787(x12082,x12083,x12084))
% 178.51/178.27 [1209]~E(x12091,x12092)+E(f787(x12093,x12091,x12094),f787(x12093,x12092,x12094))
% 178.51/178.27 [1210]~E(x12101,x12102)+E(f787(x12103,x12104,x12101),f787(x12103,x12104,x12102))
% 178.51/178.27 [1211]~E(x12111,x12112)+E(f185(x12111,x12113,x12114,x12115),f185(x12112,x12113,x12114,x12115))
% 178.51/178.27 [1212]~E(x12121,x12122)+E(f185(x12123,x12121,x12124,x12125),f185(x12123,x12122,x12124,x12125))
% 178.51/178.27 [1213]~E(x12131,x12132)+E(f185(x12133,x12134,x12131,x12135),f185(x12133,x12134,x12132,x12135))
% 178.51/178.27 [1214]~E(x12141,x12142)+E(f185(x12143,x12144,x12145,x12141),f185(x12143,x12144,x12145,x12142))
% 178.51/178.27 [1215]~E(x12151,x12152)+E(f618(x12151,x12153,x12154),f618(x12152,x12153,x12154))
% 178.51/178.27 [1216]~E(x12161,x12162)+E(f618(x12163,x12161,x12164),f618(x12163,x12162,x12164))
% 178.51/178.27 [1217]~E(x12171,x12172)+E(f618(x12173,x12174,x12171),f618(x12173,x12174,x12172))
% 178.51/178.27 [1218]~E(x12181,x12182)+E(f471(x12181,x12183,x12184,x12185,x12186),f471(x12182,x12183,x12184,x12185,x12186))
% 178.51/178.27 [1219]~E(x12191,x12192)+E(f471(x12193,x12191,x12194,x12195,x12196),f471(x12193,x12192,x12194,x12195,x12196))
% 178.51/178.27 [1220]~E(x12201,x12202)+E(f471(x12203,x12204,x12201,x12205,x12206),f471(x12203,x12204,x12202,x12205,x12206))
% 178.51/178.27 [1221]~E(x12211,x12212)+E(f471(x12213,x12214,x12215,x12211,x12216),f471(x12213,x12214,x12215,x12212,x12216))
% 178.51/178.27 [1222]~E(x12221,x12222)+E(f471(x12223,x12224,x12225,x12226,x12221),f471(x12223,x12224,x12225,x12226,x12222))
% 178.51/178.27 [1223]~E(x12231,x12232)+E(f150(x12231,x12233,x12234,x12235),f150(x12232,x12233,x12234,x12235))
% 178.51/178.27 [1224]~E(x12241,x12242)+E(f150(x12243,x12241,x12244,x12245),f150(x12243,x12242,x12244,x12245))
% 178.51/178.27 [1225]~E(x12251,x12252)+E(f150(x12253,x12254,x12251,x12255),f150(x12253,x12254,x12252,x12255))
% 178.51/178.27 [1226]~E(x12261,x12262)+E(f150(x12263,x12264,x12265,x12261),f150(x12263,x12264,x12265,x12262))
% 178.51/178.27 [1227]~E(x12271,x12272)+E(f640(x12271,x12273,x12274,x12275),f640(x12272,x12273,x12274,x12275))
% 178.51/178.27 [1228]~E(x12281,x12282)+E(f640(x12283,x12281,x12284,x12285),f640(x12283,x12282,x12284,x12285))
% 178.51/178.27 [1229]~E(x12291,x12292)+E(f640(x12293,x12294,x12291,x12295),f640(x12293,x12294,x12292,x12295))
% 178.51/178.27 [1230]~E(x12301,x12302)+E(f640(x12303,x12304,x12305,x12301),f640(x12303,x12304,x12305,x12302))
% 178.51/178.27 [1231]~E(x12311,x12312)+E(f501(x12311,x12313,x12314,x12315,x12316),f501(x12312,x12313,x12314,x12315,x12316))
% 178.51/178.27 [1232]~E(x12321,x12322)+E(f501(x12323,x12321,x12324,x12325,x12326),f501(x12323,x12322,x12324,x12325,x12326))
% 178.51/178.27 [1233]~E(x12331,x12332)+E(f501(x12333,x12334,x12331,x12335,x12336),f501(x12333,x12334,x12332,x12335,x12336))
% 178.51/178.27 [1234]~E(x12341,x12342)+E(f501(x12343,x12344,x12345,x12341,x12346),f501(x12343,x12344,x12345,x12342,x12346))
% 178.51/178.27 [1235]~E(x12351,x12352)+E(f501(x12353,x12354,x12355,x12356,x12351),f501(x12353,x12354,x12355,x12356,x12352))
% 178.51/178.27 [1236]~E(x12361,x12362)+E(f719(x12361,x12363,x12364,x12365,x12366),f719(x12362,x12363,x12364,x12365,x12366))
% 178.51/178.27 [1237]~E(x12371,x12372)+E(f719(x12373,x12371,x12374,x12375,x12376),f719(x12373,x12372,x12374,x12375,x12376))
% 178.51/178.27 [1238]~E(x12381,x12382)+E(f719(x12383,x12384,x12381,x12385,x12386),f719(x12383,x12384,x12382,x12385,x12386))
% 178.51/178.27 [1239]~E(x12391,x12392)+E(f719(x12393,x12394,x12395,x12391,x12396),f719(x12393,x12394,x12395,x12392,x12396))
% 178.51/178.27 [1240]~E(x12401,x12402)+E(f719(x12403,x12404,x12405,x12406,x12401),f719(x12403,x12404,x12405,x12406,x12402))
% 178.51/178.27 [1241]~E(x12411,x12412)+E(f271(x12411,x12413),f271(x12412,x12413))
% 178.51/178.27 [1242]~E(x12421,x12422)+E(f271(x12423,x12421),f271(x12423,x12422))
% 178.51/178.27 [1243]~E(x12431,x12432)+E(f204(x12431),f204(x12432))
% 178.51/178.27 [1244]~E(x12441,x12442)+E(f459(x12441,x12443,x12444,x12445),f459(x12442,x12443,x12444,x12445))
% 178.51/178.27 [1245]~E(x12451,x12452)+E(f459(x12453,x12451,x12454,x12455),f459(x12453,x12452,x12454,x12455))
% 178.51/178.27 [1246]~E(x12461,x12462)+E(f459(x12463,x12464,x12461,x12465),f459(x12463,x12464,x12462,x12465))
% 178.51/178.27 [1247]~E(x12471,x12472)+E(f459(x12473,x12474,x12475,x12471),f459(x12473,x12474,x12475,x12472))
% 178.51/178.27 [1248]~E(x12481,x12482)+E(f811(x12481,x12483,x12484,x12485,x12486),f811(x12482,x12483,x12484,x12485,x12486))
% 178.51/178.27 [1249]~E(x12491,x12492)+E(f811(x12493,x12491,x12494,x12495,x12496),f811(x12493,x12492,x12494,x12495,x12496))
% 178.51/178.27 [1250]~E(x12501,x12502)+E(f811(x12503,x12504,x12501,x12505,x12506),f811(x12503,x12504,x12502,x12505,x12506))
% 178.51/178.27 [1251]~E(x12511,x12512)+E(f811(x12513,x12514,x12515,x12511,x12516),f811(x12513,x12514,x12515,x12512,x12516))
% 178.51/178.27 [1252]~E(x12521,x12522)+E(f811(x12523,x12524,x12525,x12526,x12521),f811(x12523,x12524,x12525,x12526,x12522))
% 178.51/178.27 [1253]~E(x12531,x12532)+E(f803(x12531,x12533),f803(x12532,x12533))
% 178.51/178.27 [1254]~E(x12541,x12542)+E(f803(x12543,x12541),f803(x12543,x12542))
% 178.51/178.27 [1255]~E(x12551,x12552)+E(f754(x12551,x12553,x12554),f754(x12552,x12553,x12554))
% 178.51/178.27 [1256]~E(x12561,x12562)+E(f754(x12563,x12561,x12564),f754(x12563,x12562,x12564))
% 178.51/178.27 [1257]~E(x12571,x12572)+E(f754(x12573,x12574,x12571),f754(x12573,x12574,x12572))
% 178.51/178.27 [1258]~E(x12581,x12582)+E(f629(x12581,x12583,x12584,x12585,x12586),f629(x12582,x12583,x12584,x12585,x12586))
% 178.51/178.27 [1259]~E(x12591,x12592)+E(f629(x12593,x12591,x12594,x12595,x12596),f629(x12593,x12592,x12594,x12595,x12596))
% 178.51/178.27 [1260]~E(x12601,x12602)+E(f629(x12603,x12604,x12601,x12605,x12606),f629(x12603,x12604,x12602,x12605,x12606))
% 178.51/178.27 [1261]~E(x12611,x12612)+E(f629(x12613,x12614,x12615,x12611,x12616),f629(x12613,x12614,x12615,x12612,x12616))
% 178.51/178.27 [1262]~E(x12621,x12622)+E(f629(x12623,x12624,x12625,x12626,x12621),f629(x12623,x12624,x12625,x12626,x12622))
% 178.51/178.27 [1263]~E(x12631,x12632)+E(f485(x12631,x12633,x12634),f485(x12632,x12633,x12634))
% 178.51/178.27 [1264]~E(x12641,x12642)+E(f485(x12643,x12641,x12644),f485(x12643,x12642,x12644))
% 178.51/178.27 [1265]~E(x12651,x12652)+E(f485(x12653,x12654,x12651),f485(x12653,x12654,x12652))
% 178.51/178.27 [1266]~E(x12661,x12662)+E(f92(x12661,x12663,x12664),f92(x12662,x12663,x12664))
% 178.51/178.27 [1267]~E(x12671,x12672)+E(f92(x12673,x12671,x12674),f92(x12673,x12672,x12674))
% 178.51/178.27 [1268]~E(x12681,x12682)+E(f92(x12683,x12684,x12681),f92(x12683,x12684,x12682))
% 178.51/178.27 [1269]~E(x12691,x12692)+E(f509(x12691,x12693,x12694,x12695),f509(x12692,x12693,x12694,x12695))
% 178.51/178.27 [1270]~E(x12701,x12702)+E(f509(x12703,x12701,x12704,x12705),f509(x12703,x12702,x12704,x12705))
% 178.51/178.27 [1271]~E(x12711,x12712)+E(f509(x12713,x12714,x12711,x12715),f509(x12713,x12714,x12712,x12715))
% 178.51/178.27 [1272]~E(x12721,x12722)+E(f509(x12723,x12724,x12725,x12721),f509(x12723,x12724,x12725,x12722))
% 178.51/178.27 [1273]~E(x12731,x12732)+E(f462(x12731,x12733,x12734,x12735),f462(x12732,x12733,x12734,x12735))
% 178.51/178.27 [1274]~E(x12741,x12742)+E(f462(x12743,x12741,x12744,x12745),f462(x12743,x12742,x12744,x12745))
% 178.51/178.27 [1275]~E(x12751,x12752)+E(f462(x12753,x12754,x12751,x12755),f462(x12753,x12754,x12752,x12755))
% 178.51/178.27 [1276]~E(x12761,x12762)+E(f462(x12763,x12764,x12765,x12761),f462(x12763,x12764,x12765,x12762))
% 178.51/178.27 [1277]~E(x12771,x12772)+E(f436(x12771,x12773,x12774),f436(x12772,x12773,x12774))
% 178.51/178.27 [1278]~E(x12781,x12782)+E(f436(x12783,x12781,x12784),f436(x12783,x12782,x12784))
% 178.51/178.27 [1279]~E(x12791,x12792)+E(f436(x12793,x12794,x12791),f436(x12793,x12794,x12792))
% 178.51/178.27 [1280]~E(x12801,x12802)+E(f330(x12801,x12803,x12804,x12805),f330(x12802,x12803,x12804,x12805))
% 178.51/178.27 [1281]~E(x12811,x12812)+E(f330(x12813,x12811,x12814,x12815),f330(x12813,x12812,x12814,x12815))
% 178.51/178.27 [1282]~E(x12821,x12822)+E(f330(x12823,x12824,x12821,x12825),f330(x12823,x12824,x12822,x12825))
% 178.51/178.27 [1283]~E(x12831,x12832)+E(f330(x12833,x12834,x12835,x12831),f330(x12833,x12834,x12835,x12832))
% 178.51/178.27 [1284]~E(x12841,x12842)+E(f893(x12841,x12843,x12844,x12845,x12846),f893(x12842,x12843,x12844,x12845,x12846))
% 178.51/178.27 [1285]~E(x12851,x12852)+E(f893(x12853,x12851,x12854,x12855,x12856),f893(x12853,x12852,x12854,x12855,x12856))
% 178.51/178.27 [1286]~E(x12861,x12862)+E(f893(x12863,x12864,x12861,x12865,x12866),f893(x12863,x12864,x12862,x12865,x12866))
% 178.51/178.27 [1287]~E(x12871,x12872)+E(f893(x12873,x12874,x12875,x12871,x12876),f893(x12873,x12874,x12875,x12872,x12876))
% 178.51/178.27 [1288]~E(x12881,x12882)+E(f893(x12883,x12884,x12885,x12886,x12881),f893(x12883,x12884,x12885,x12886,x12882))
% 178.51/178.27 [1289]~E(x12891,x12892)+E(f620(x12891,x12893,x12894),f620(x12892,x12893,x12894))
% 178.51/178.27 [1290]~E(x12901,x12902)+E(f620(x12903,x12901,x12904),f620(x12903,x12902,x12904))
% 178.51/178.27 [1291]~E(x12911,x12912)+E(f620(x12913,x12914,x12911),f620(x12913,x12914,x12912))
% 178.51/178.27 [1292]~E(x12921,x12922)+E(f62(x12921,x12923,x12924),f62(x12922,x12923,x12924))
% 178.51/178.27 [1293]~E(x12931,x12932)+E(f62(x12933,x12931,x12934),f62(x12933,x12932,x12934))
% 178.51/178.27 [1294]~E(x12941,x12942)+E(f62(x12943,x12944,x12941),f62(x12943,x12944,x12942))
% 178.51/178.27 [1295]~E(x12951,x12952)+E(f500(x12951,x12953,x12954),f500(x12952,x12953,x12954))
% 178.51/178.27 [1296]~E(x12961,x12962)+E(f500(x12963,x12961,x12964),f500(x12963,x12962,x12964))
% 178.51/178.27 [1297]~E(x12971,x12972)+E(f500(x12973,x12974,x12971),f500(x12973,x12974,x12972))
% 178.51/178.27 [1298]~E(x12981,x12982)+E(f411(x12981,x12983,x12984,x12985,x12986,x12987),f411(x12982,x12983,x12984,x12985,x12986,x12987))
% 178.51/178.27 [1299]~E(x12991,x12992)+E(f411(x12993,x12991,x12994,x12995,x12996,x12997),f411(x12993,x12992,x12994,x12995,x12996,x12997))
% 178.51/178.27 [1300]~E(x13001,x13002)+E(f411(x13003,x13004,x13001,x13005,x13006,x13007),f411(x13003,x13004,x13002,x13005,x13006,x13007))
% 178.51/178.27 [1301]~E(x13011,x13012)+E(f411(x13013,x13014,x13015,x13011,x13016,x13017),f411(x13013,x13014,x13015,x13012,x13016,x13017))
% 178.51/178.27 [1302]~E(x13021,x13022)+E(f411(x13023,x13024,x13025,x13026,x13021,x13027),f411(x13023,x13024,x13025,x13026,x13022,x13027))
% 178.51/178.27 [1303]~E(x13031,x13032)+E(f411(x13033,x13034,x13035,x13036,x13037,x13031),f411(x13033,x13034,x13035,x13036,x13037,x13032))
% 178.51/178.27 [1304]~E(x13041,x13042)+E(f345(x13041,x13043,x13044),f345(x13042,x13043,x13044))
% 178.51/178.27 [1305]~E(x13051,x13052)+E(f345(x13053,x13051,x13054),f345(x13053,x13052,x13054))
% 178.51/178.27 [1306]~E(x13061,x13062)+E(f345(x13063,x13064,x13061),f345(x13063,x13064,x13062))
% 178.51/178.27 [1307]~E(x13071,x13072)+E(f140(x13071,x13073,x13074),f140(x13072,x13073,x13074))
% 178.51/178.27 [1308]~E(x13081,x13082)+E(f140(x13083,x13081,x13084),f140(x13083,x13082,x13084))
% 178.51/178.27 [1309]~E(x13091,x13092)+E(f140(x13093,x13094,x13091),f140(x13093,x13094,x13092))
% 178.51/178.27 [1310]~E(x13101,x13102)+E(f351(x13101,x13103,x13104,x13105,x13106),f351(x13102,x13103,x13104,x13105,x13106))
% 178.51/178.27 [1311]~E(x13111,x13112)+E(f351(x13113,x13111,x13114,x13115,x13116),f351(x13113,x13112,x13114,x13115,x13116))
% 178.51/178.27 [1312]~E(x13121,x13122)+E(f351(x13123,x13124,x13121,x13125,x13126),f351(x13123,x13124,x13122,x13125,x13126))
% 178.51/178.27 [1313]~E(x13131,x13132)+E(f351(x13133,x13134,x13135,x13131,x13136),f351(x13133,x13134,x13135,x13132,x13136))
% 178.51/178.27 [1314]~E(x13141,x13142)+E(f351(x13143,x13144,x13145,x13146,x13141),f351(x13143,x13144,x13145,x13146,x13142))
% 178.51/178.27 [1315]~E(x13151,x13152)+E(f558(x13151,x13153,x13154,x13155,x13156,x13157,x13158,x13159),f558(x13152,x13153,x13154,x13155,x13156,x13157,x13158,x13159))
% 178.51/178.27 [1316]~E(x13161,x13162)+E(f558(x13163,x13161,x13164,x13165,x13166,x13167,x13168,x13169),f558(x13163,x13162,x13164,x13165,x13166,x13167,x13168,x13169))
% 178.51/178.27 [1317]~E(x13171,x13172)+E(f558(x13173,x13174,x13171,x13175,x13176,x13177,x13178,x13179),f558(x13173,x13174,x13172,x13175,x13176,x13177,x13178,x13179))
% 178.51/178.27 [1318]~E(x13181,x13182)+E(f558(x13183,x13184,x13185,x13181,x13186,x13187,x13188,x13189),f558(x13183,x13184,x13185,x13182,x13186,x13187,x13188,x13189))
% 178.51/178.27 [1319]~E(x13191,x13192)+E(f558(x13193,x13194,x13195,x13196,x13191,x13197,x13198,x13199),f558(x13193,x13194,x13195,x13196,x13192,x13197,x13198,x13199))
% 178.51/178.27 [1320]~E(x13201,x13202)+E(f558(x13203,x13204,x13205,x13206,x13207,x13201,x13208,x13209),f558(x13203,x13204,x13205,x13206,x13207,x13202,x13208,x13209))
% 178.51/178.27 [1321]~E(x13211,x13212)+E(f558(x13213,x13214,x13215,x13216,x13217,x13218,x13211,x13219),f558(x13213,x13214,x13215,x13216,x13217,x13218,x13212,x13219))
% 178.51/178.27 [1322]~E(x13221,x13222)+E(f558(x13223,x13224,x13225,x13226,x13227,x13228,x13229,x13221),f558(x13223,x13224,x13225,x13226,x13227,x13228,x13229,x13222))
% 178.51/178.27 [1323]~E(x13231,x13232)+E(f484(x13231,x13233,x13234,x13235,x13236),f484(x13232,x13233,x13234,x13235,x13236))
% 178.51/178.27 [1324]~E(x13241,x13242)+E(f484(x13243,x13241,x13244,x13245,x13246),f484(x13243,x13242,x13244,x13245,x13246))
% 178.51/178.27 [1325]~E(x13251,x13252)+E(f484(x13253,x13254,x13251,x13255,x13256),f484(x13253,x13254,x13252,x13255,x13256))
% 178.51/178.27 [1326]~E(x13261,x13262)+E(f484(x13263,x13264,x13265,x13261,x13266),f484(x13263,x13264,x13265,x13262,x13266))
% 178.51/178.27 [1327]~E(x13271,x13272)+E(f484(x13273,x13274,x13275,x13276,x13271),f484(x13273,x13274,x13275,x13276,x13272))
% 178.51/178.27 [1328]~E(x13281,x13282)+E(f789(x13281,x13283,x13284,x13285,x13286,x13287,x13288),f789(x13282,x13283,x13284,x13285,x13286,x13287,x13288))
% 178.51/178.27 [1329]~E(x13291,x13292)+E(f789(x13293,x13291,x13294,x13295,x13296,x13297,x13298),f789(x13293,x13292,x13294,x13295,x13296,x13297,x13298))
% 178.51/178.27 [1330]~E(x13301,x13302)+E(f789(x13303,x13304,x13301,x13305,x13306,x13307,x13308),f789(x13303,x13304,x13302,x13305,x13306,x13307,x13308))
% 178.51/178.27 [1331]~E(x13311,x13312)+E(f789(x13313,x13314,x13315,x13311,x13316,x13317,x13318),f789(x13313,x13314,x13315,x13312,x13316,x13317,x13318))
% 178.51/178.27 [1332]~E(x13321,x13322)+E(f789(x13323,x13324,x13325,x13326,x13321,x13327,x13328),f789(x13323,x13324,x13325,x13326,x13322,x13327,x13328))
% 178.51/178.27 [1333]~E(x13331,x13332)+E(f789(x13333,x13334,x13335,x13336,x13337,x13331,x13338),f789(x13333,x13334,x13335,x13336,x13337,x13332,x13338))
% 178.51/178.27 [1334]~E(x13341,x13342)+E(f789(x13343,x13344,x13345,x13346,x13347,x13348,x13341),f789(x13343,x13344,x13345,x13346,x13347,x13348,x13342))
% 178.51/178.27 [1335]~E(x13351,x13352)+E(f294(x13351,x13353,x13354),f294(x13352,x13353,x13354))
% 178.51/178.27 [1336]~E(x13361,x13362)+E(f294(x13363,x13361,x13364),f294(x13363,x13362,x13364))
% 178.51/178.27 [1337]~E(x13371,x13372)+E(f294(x13373,x13374,x13371),f294(x13373,x13374,x13372))
% 178.51/178.27 [1338]~E(x13381,x13382)+E(f434(x13381,x13383,x13384),f434(x13382,x13383,x13384))
% 178.51/178.27 [1339]~E(x13391,x13392)+E(f434(x13393,x13391,x13394),f434(x13393,x13392,x13394))
% 178.51/178.27 [1340]~E(x13401,x13402)+E(f434(x13403,x13404,x13401),f434(x13403,x13404,x13402))
% 178.51/178.27 [1341]~E(x13411,x13412)+E(f341(x13411),f341(x13412))
% 178.51/178.27 [1342]~E(x13421,x13422)+E(f740(x13421,x13423,x13424),f740(x13422,x13423,x13424))
% 178.51/178.27 [1343]~E(x13431,x13432)+E(f740(x13433,x13431,x13434),f740(x13433,x13432,x13434))
% 178.51/178.27 [1344]~E(x13441,x13442)+E(f740(x13443,x13444,x13441),f740(x13443,x13444,x13442))
% 178.51/178.27 [1345]~E(x13451,x13452)+E(f668(x13451,x13453,x13454,x13455),f668(x13452,x13453,x13454,x13455))
% 178.51/178.27 [1346]~E(x13461,x13462)+E(f668(x13463,x13461,x13464,x13465),f668(x13463,x13462,x13464,x13465))
% 178.51/178.27 [1347]~E(x13471,x13472)+E(f668(x13473,x13474,x13471,x13475),f668(x13473,x13474,x13472,x13475))
% 178.51/178.27 [1348]~E(x13481,x13482)+E(f668(x13483,x13484,x13485,x13481),f668(x13483,x13484,x13485,x13482))
% 178.51/178.27 [1349]~E(x13491,x13492)+E(f277(x13491),f277(x13492))
% 178.51/178.27 [1350]~E(x13501,x13502)+E(f691(x13501,x13503,x13504),f691(x13502,x13503,x13504))
% 178.51/178.27 [1351]~E(x13511,x13512)+E(f691(x13513,x13511,x13514),f691(x13513,x13512,x13514))
% 178.51/178.27 [1352]~E(x13521,x13522)+E(f691(x13523,x13524,x13521),f691(x13523,x13524,x13522))
% 178.51/178.27 [1353]~E(x13531,x13532)+E(f425(x13531,x13533),f425(x13532,x13533))
% 178.51/178.27 [1354]~E(x13541,x13542)+E(f425(x13543,x13541),f425(x13543,x13542))
% 178.51/178.27 [1355]~E(x13551,x13552)+E(f331(x13551),f331(x13552))
% 178.51/178.27 [1356]~E(x13561,x13562)+E(f769(x13561,x13563,x13564,x13565),f769(x13562,x13563,x13564,x13565))
% 178.51/178.27 [1357]~E(x13571,x13572)+E(f769(x13573,x13571,x13574,x13575),f769(x13573,x13572,x13574,x13575))
% 178.51/178.27 [1358]~E(x13581,x13582)+E(f769(x13583,x13584,x13581,x13585),f769(x13583,x13584,x13582,x13585))
% 178.51/178.27 [1359]~E(x13591,x13592)+E(f769(x13593,x13594,x13595,x13591),f769(x13593,x13594,x13595,x13592))
% 178.51/178.27 [1360]~E(x13601,x13602)+E(f777(x13601,x13603,x13604,x13605),f777(x13602,x13603,x13604,x13605))
% 178.51/178.27 [1361]~E(x13611,x13612)+E(f777(x13613,x13611,x13614,x13615),f777(x13613,x13612,x13614,x13615))
% 178.51/178.27 [1362]~E(x13621,x13622)+E(f777(x13623,x13624,x13621,x13625),f777(x13623,x13624,x13622,x13625))
% 178.51/178.27 [1363]~E(x13631,x13632)+E(f777(x13633,x13634,x13635,x13631),f777(x13633,x13634,x13635,x13632))
% 178.51/178.27 [1364]~E(x13641,x13642)+E(f568(x13641,x13643,x13644,x13645),f568(x13642,x13643,x13644,x13645))
% 178.51/178.27 [1365]~E(x13651,x13652)+E(f568(x13653,x13651,x13654,x13655),f568(x13653,x13652,x13654,x13655))
% 178.51/178.27 [1366]~E(x13661,x13662)+E(f568(x13663,x13664,x13661,x13665),f568(x13663,x13664,x13662,x13665))
% 178.51/178.27 [1367]~E(x13671,x13672)+E(f568(x13673,x13674,x13675,x13671),f568(x13673,x13674,x13675,x13672))
% 178.51/178.27 [1368]~E(x13681,x13682)+E(f402(x13681,x13683,x13684),f402(x13682,x13683,x13684))
% 178.51/178.27 [1369]~E(x13691,x13692)+E(f402(x13693,x13691,x13694),f402(x13693,x13692,x13694))
% 178.51/178.27 [1370]~E(x13701,x13702)+E(f402(x13703,x13704,x13701),f402(x13703,x13704,x13702))
% 178.51/178.27 [1371]~E(x13711,x13712)+E(f571(x13711,x13713,x13714,x13715),f571(x13712,x13713,x13714,x13715))
% 178.51/178.27 [1372]~E(x13721,x13722)+E(f571(x13723,x13721,x13724,x13725),f571(x13723,x13722,x13724,x13725))
% 178.51/178.27 [1373]~E(x13731,x13732)+E(f571(x13733,x13734,x13731,x13735),f571(x13733,x13734,x13732,x13735))
% 178.51/178.27 [1374]~E(x13741,x13742)+E(f571(x13743,x13744,x13745,x13741),f571(x13743,x13744,x13745,x13742))
% 178.51/178.27 [1375]~E(x13751,x13752)+E(f529(x13751,x13753,x13754,x13755,x13756),f529(x13752,x13753,x13754,x13755,x13756))
% 178.51/178.27 [1376]~E(x13761,x13762)+E(f529(x13763,x13761,x13764,x13765,x13766),f529(x13763,x13762,x13764,x13765,x13766))
% 178.51/178.27 [1377]~E(x13771,x13772)+E(f529(x13773,x13774,x13771,x13775,x13776),f529(x13773,x13774,x13772,x13775,x13776))
% 178.51/178.27 [1378]~E(x13781,x13782)+E(f529(x13783,x13784,x13785,x13781,x13786),f529(x13783,x13784,x13785,x13782,x13786))
% 178.51/178.27 [1379]~E(x13791,x13792)+E(f529(x13793,x13794,x13795,x13796,x13791),f529(x13793,x13794,x13795,x13796,x13792))
% 178.51/178.27 [1380]~E(x13801,x13802)+E(f447(x13801,x13803),f447(x13802,x13803))
% 178.51/178.27 [1381]~E(x13811,x13812)+E(f447(x13813,x13811),f447(x13813,x13812))
% 178.51/178.27 [1382]~E(x13821,x13822)+E(f358(x13821,x13823,x13824,x13825),f358(x13822,x13823,x13824,x13825))
% 178.51/178.27 [1383]~E(x13831,x13832)+E(f358(x13833,x13831,x13834,x13835),f358(x13833,x13832,x13834,x13835))
% 178.51/178.27 [1384]~E(x13841,x13842)+E(f358(x13843,x13844,x13841,x13845),f358(x13843,x13844,x13842,x13845))
% 178.51/178.27 [1385]~E(x13851,x13852)+E(f358(x13853,x13854,x13855,x13851),f358(x13853,x13854,x13855,x13852))
% 178.51/178.27 [1386]~E(x13861,x13862)+E(f416(x13861,x13863),f416(x13862,x13863))
% 178.51/178.27 [1387]~E(x13871,x13872)+E(f416(x13873,x13871),f416(x13873,x13872))
% 178.51/178.27 [1388]~E(x13881,x13882)+E(f377(x13881,x13883,x13884),f377(x13882,x13883,x13884))
% 178.51/178.27 [1389]~E(x13891,x13892)+E(f377(x13893,x13891,x13894),f377(x13893,x13892,x13894))
% 178.51/178.27 [1390]~E(x13901,x13902)+E(f377(x13903,x13904,x13901),f377(x13903,x13904,x13902))
% 178.51/178.27 [1391]~E(x13911,x13912)+E(f602(x13911,x13913,x13914),f602(x13912,x13913,x13914))
% 178.51/178.27 [1392]~E(x13921,x13922)+E(f602(x13923,x13921,x13924),f602(x13923,x13922,x13924))
% 178.51/178.27 [1393]~E(x13931,x13932)+E(f602(x13933,x13934,x13931),f602(x13933,x13934,x13932))
% 178.51/178.27 [1394]~E(x13941,x13942)+E(f337(x13941),f337(x13942))
% 178.51/178.27 [1395]~E(x13951,x13952)+E(f236(x13951,x13953),f236(x13952,x13953))
% 178.51/178.27 [1396]~E(x13961,x13962)+E(f236(x13963,x13961),f236(x13963,x13962))
% 178.51/178.27 [1397]~E(x13971,x13972)+E(f684(x13971,x13973,x13974,x13975),f684(x13972,x13973,x13974,x13975))
% 178.51/178.27 [1398]~E(x13981,x13982)+E(f684(x13983,x13981,x13984,x13985),f684(x13983,x13982,x13984,x13985))
% 178.51/178.27 [1399]~E(x13991,x13992)+E(f684(x13993,x13994,x13991,x13995),f684(x13993,x13994,x13992,x13995))
% 178.51/178.27 [1400]~E(x14001,x14002)+E(f684(x14003,x14004,x14005,x14001),f684(x14003,x14004,x14005,x14002))
% 178.51/178.27 [1401]~E(x14011,x14012)+E(f180(x14011),f180(x14012))
% 178.51/178.27 [1402]~E(x14021,x14022)+E(f401(x14021,x14023,x14024),f401(x14022,x14023,x14024))
% 178.51/178.27 [1403]~E(x14031,x14032)+E(f401(x14033,x14031,x14034),f401(x14033,x14032,x14034))
% 178.51/178.27 [1404]~E(x14041,x14042)+E(f401(x14043,x14044,x14041),f401(x14043,x14044,x14042))
% 178.51/178.27 [1405]~E(x14051,x14052)+E(f671(x14051,x14053),f671(x14052,x14053))
% 178.51/178.27 [1406]~E(x14061,x14062)+E(f671(x14063,x14061),f671(x14063,x14062))
% 178.51/178.27 [1407]~E(x14071,x14072)+E(f686(x14071,x14073,x14074,x14075),f686(x14072,x14073,x14074,x14075))
% 178.51/178.27 [1408]~E(x14081,x14082)+E(f686(x14083,x14081,x14084,x14085),f686(x14083,x14082,x14084,x14085))
% 178.51/178.27 [1409]~E(x14091,x14092)+E(f686(x14093,x14094,x14091,x14095),f686(x14093,x14094,x14092,x14095))
% 178.51/178.27 [1410]~E(x14101,x14102)+E(f686(x14103,x14104,x14105,x14101),f686(x14103,x14104,x14105,x14102))
% 178.51/178.27 [1411]~E(x14111,x14112)+E(f867(x14111,x14113,x14114),f867(x14112,x14113,x14114))
% 178.51/178.27 [1412]~E(x14121,x14122)+E(f867(x14123,x14121,x14124),f867(x14123,x14122,x14124))
% 178.51/178.27 [1413]~E(x14131,x14132)+E(f867(x14133,x14134,x14131),f867(x14133,x14134,x14132))
% 178.51/178.27 [1414]~E(x14141,x14142)+E(f196(x14141,x14143,x14144,x14145),f196(x14142,x14143,x14144,x14145))
% 178.51/178.27 [1415]~E(x14151,x14152)+E(f196(x14153,x14151,x14154,x14155),f196(x14153,x14152,x14154,x14155))
% 178.51/178.27 [1416]~E(x14161,x14162)+E(f196(x14163,x14164,x14161,x14165),f196(x14163,x14164,x14162,x14165))
% 178.51/178.27 [1417]~E(x14171,x14172)+E(f196(x14173,x14174,x14175,x14171),f196(x14173,x14174,x14175,x14172))
% 178.51/178.27 [1418]~E(x14181,x14182)+E(f487(x14181,x14183,x14184,x14185,x14186,x14187,x14188,x14189,x141810),f487(x14182,x14183,x14184,x14185,x14186,x14187,x14188,x14189,x141810))
% 178.51/178.27 [1419]~E(x14191,x14192)+E(f487(x14193,x14191,x14194,x14195,x14196,x14197,x14198,x14199,x141910),f487(x14193,x14192,x14194,x14195,x14196,x14197,x14198,x14199,x141910))
% 178.51/178.27 [1420]~E(x14201,x14202)+E(f487(x14203,x14204,x14201,x14205,x14206,x14207,x14208,x14209,x142010),f487(x14203,x14204,x14202,x14205,x14206,x14207,x14208,x14209,x142010))
% 178.51/178.27 [1421]~E(x14211,x14212)+E(f487(x14213,x14214,x14215,x14211,x14216,x14217,x14218,x14219,x142110),f487(x14213,x14214,x14215,x14212,x14216,x14217,x14218,x14219,x142110))
% 178.51/178.27 [1422]~E(x14221,x14222)+E(f487(x14223,x14224,x14225,x14226,x14221,x14227,x14228,x14229,x142210),f487(x14223,x14224,x14225,x14226,x14222,x14227,x14228,x14229,x142210))
% 178.51/178.27 [1423]~E(x14231,x14232)+E(f487(x14233,x14234,x14235,x14236,x14237,x14231,x14238,x14239,x142310),f487(x14233,x14234,x14235,x14236,x14237,x14232,x14238,x14239,x142310))
% 178.51/178.27 [1424]~E(x14241,x14242)+E(f487(x14243,x14244,x14245,x14246,x14247,x14248,x14241,x14249,x142410),f487(x14243,x14244,x14245,x14246,x14247,x14248,x14242,x14249,x142410))
% 178.51/178.27 [1425]~E(x14251,x14252)+E(f487(x14253,x14254,x14255,x14256,x14257,x14258,x14259,x14251,x142510),f487(x14253,x14254,x14255,x14256,x14257,x14258,x14259,x14252,x142510))
% 178.51/178.27 [1426]~E(x14261,x14262)+E(f487(x14263,x14264,x14265,x14266,x14267,x14268,x14269,x142610,x14261),f487(x14263,x14264,x14265,x14266,x14267,x14268,x14269,x142610,x14262))
% 178.51/178.27 [1427]~E(x14271,x14272)+E(f791(x14271),f791(x14272))
% 178.51/178.27 [1428]~E(x14281,x14282)+E(f849(x14281,x14283,x14284,x14285,x14286,x14287,x14288,x14289),f849(x14282,x14283,x14284,x14285,x14286,x14287,x14288,x14289))
% 178.51/178.27 [1429]~E(x14291,x14292)+E(f849(x14293,x14291,x14294,x14295,x14296,x14297,x14298,x14299),f849(x14293,x14292,x14294,x14295,x14296,x14297,x14298,x14299))
% 178.51/178.27 [1430]~E(x14301,x14302)+E(f849(x14303,x14304,x14301,x14305,x14306,x14307,x14308,x14309),f849(x14303,x14304,x14302,x14305,x14306,x14307,x14308,x14309))
% 178.51/178.27 [1431]~E(x14311,x14312)+E(f849(x14313,x14314,x14315,x14311,x14316,x14317,x14318,x14319),f849(x14313,x14314,x14315,x14312,x14316,x14317,x14318,x14319))
% 178.51/178.27 [1432]~E(x14321,x14322)+E(f849(x14323,x14324,x14325,x14326,x14321,x14327,x14328,x14329),f849(x14323,x14324,x14325,x14326,x14322,x14327,x14328,x14329))
% 178.51/178.27 [1433]~E(x14331,x14332)+E(f849(x14333,x14334,x14335,x14336,x14337,x14331,x14338,x14339),f849(x14333,x14334,x14335,x14336,x14337,x14332,x14338,x14339))
% 178.51/178.27 [1434]~E(x14341,x14342)+E(f849(x14343,x14344,x14345,x14346,x14347,x14348,x14341,x14349),f849(x14343,x14344,x14345,x14346,x14347,x14348,x14342,x14349))
% 178.51/178.27 [1435]~E(x14351,x14352)+E(f849(x14353,x14354,x14355,x14356,x14357,x14358,x14359,x14351),f849(x14353,x14354,x14355,x14356,x14357,x14358,x14359,x14352))
% 178.51/178.27 [1436]~E(x14361,x14362)+E(f403(x14361,x14363,x14364,x14365),f403(x14362,x14363,x14364,x14365))
% 178.51/178.27 [1437]~E(x14371,x14372)+E(f403(x14373,x14371,x14374,x14375),f403(x14373,x14372,x14374,x14375))
% 178.51/178.27 [1438]~E(x14381,x14382)+E(f403(x14383,x14384,x14381,x14385),f403(x14383,x14384,x14382,x14385))
% 178.51/178.27 [1439]~E(x14391,x14392)+E(f403(x14393,x14394,x14395,x14391),f403(x14393,x14394,x14395,x14392))
% 178.51/178.27 [1440]~E(x14401,x14402)+E(f847(x14401,x14403,x14404,x14405,x14406,x14407,x14408),f847(x14402,x14403,x14404,x14405,x14406,x14407,x14408))
% 178.51/178.27 [1441]~E(x14411,x14412)+E(f847(x14413,x14411,x14414,x14415,x14416,x14417,x14418),f847(x14413,x14412,x14414,x14415,x14416,x14417,x14418))
% 178.51/178.27 [1442]~E(x14421,x14422)+E(f847(x14423,x14424,x14421,x14425,x14426,x14427,x14428),f847(x14423,x14424,x14422,x14425,x14426,x14427,x14428))
% 178.51/178.27 [1443]~E(x14431,x14432)+E(f847(x14433,x14434,x14435,x14431,x14436,x14437,x14438),f847(x14433,x14434,x14435,x14432,x14436,x14437,x14438))
% 178.51/178.27 [1444]~E(x14441,x14442)+E(f847(x14443,x14444,x14445,x14446,x14441,x14447,x14448),f847(x14443,x14444,x14445,x14446,x14442,x14447,x14448))
% 178.51/178.27 [1445]~E(x14451,x14452)+E(f847(x14453,x14454,x14455,x14456,x14457,x14451,x14458),f847(x14453,x14454,x14455,x14456,x14457,x14452,x14458))
% 178.51/178.27 [1446]~E(x14461,x14462)+E(f847(x14463,x14464,x14465,x14466,x14467,x14468,x14461),f847(x14463,x14464,x14465,x14466,x14467,x14468,x14462))
% 178.51/178.27 [1447]~E(x14471,x14472)+E(f788(x14471,x14473,x14474,x14475,x14476,x14477,x14478),f788(x14472,x14473,x14474,x14475,x14476,x14477,x14478))
% 178.51/178.27 [1448]~E(x14481,x14482)+E(f788(x14483,x14481,x14484,x14485,x14486,x14487,x14488),f788(x14483,x14482,x14484,x14485,x14486,x14487,x14488))
% 178.51/178.27 [1449]~E(x14491,x14492)+E(f788(x14493,x14494,x14491,x14495,x14496,x14497,x14498),f788(x14493,x14494,x14492,x14495,x14496,x14497,x14498))
% 178.51/178.27 [1450]~E(x14501,x14502)+E(f788(x14503,x14504,x14505,x14501,x14506,x14507,x14508),f788(x14503,x14504,x14505,x14502,x14506,x14507,x14508))
% 178.51/178.27 [1451]~E(x14511,x14512)+E(f788(x14513,x14514,x14515,x14516,x14511,x14517,x14518),f788(x14513,x14514,x14515,x14516,x14512,x14517,x14518))
% 178.51/178.27 [1452]~E(x14521,x14522)+E(f788(x14523,x14524,x14525,x14526,x14527,x14521,x14528),f788(x14523,x14524,x14525,x14526,x14527,x14522,x14528))
% 178.51/178.27 [1453]~E(x14531,x14532)+E(f788(x14533,x14534,x14535,x14536,x14537,x14538,x14531),f788(x14533,x14534,x14535,x14536,x14537,x14538,x14532))
% 178.51/178.27 [1454]~E(x14541,x14542)+E(f674(x14541,x14543,x14544,x14545),f674(x14542,x14543,x14544,x14545))
% 178.51/178.27 [1455]~E(x14551,x14552)+E(f674(x14553,x14551,x14554,x14555),f674(x14553,x14552,x14554,x14555))
% 178.51/178.27 [1456]~E(x14561,x14562)+E(f674(x14563,x14564,x14561,x14565),f674(x14563,x14564,x14562,x14565))
% 178.51/178.27 [1457]~E(x14571,x14572)+E(f674(x14573,x14574,x14575,x14571),f674(x14573,x14574,x14575,x14572))
% 178.51/178.27 [1458]~E(x14581,x14582)+E(f624(x14581,x14583),f624(x14582,x14583))
% 178.51/178.27 [1459]~E(x14591,x14592)+E(f624(x14593,x14591),f624(x14593,x14592))
% 178.51/178.27 [1460]~E(x14601,x14602)+E(f574(x14601,x14603,x14604),f574(x14602,x14603,x14604))
% 178.51/178.27 [1461]~E(x14611,x14612)+E(f574(x14613,x14611,x14614),f574(x14613,x14612,x14614))
% 178.51/178.27 [1462]~E(x14621,x14622)+E(f574(x14623,x14624,x14621),f574(x14623,x14624,x14622))
% 178.51/178.27 [1463]~E(x14631,x14632)+E(f149(x14631,x14633,x14634,x14635,x14636),f149(x14632,x14633,x14634,x14635,x14636))
% 178.51/178.27 [1464]~E(x14641,x14642)+E(f149(x14643,x14641,x14644,x14645,x14646),f149(x14643,x14642,x14644,x14645,x14646))
% 178.51/178.27 [1465]~E(x14651,x14652)+E(f149(x14653,x14654,x14651,x14655,x14656),f149(x14653,x14654,x14652,x14655,x14656))
% 178.51/178.27 [1466]~E(x14661,x14662)+E(f149(x14663,x14664,x14665,x14661,x14666),f149(x14663,x14664,x14665,x14662,x14666))
% 178.51/178.27 [1467]~E(x14671,x14672)+E(f149(x14673,x14674,x14675,x14676,x14671),f149(x14673,x14674,x14675,x14676,x14672))
% 178.51/178.27 [1468]~E(x14681,x14682)+E(f446(x14681,x14683,x14684,x14685),f446(x14682,x14683,x14684,x14685))
% 178.51/178.27 [1469]~E(x14691,x14692)+E(f446(x14693,x14691,x14694,x14695),f446(x14693,x14692,x14694,x14695))
% 178.51/178.27 [1470]~E(x14701,x14702)+E(f446(x14703,x14704,x14701,x14705),f446(x14703,x14704,x14702,x14705))
% 178.51/178.27 [1471]~E(x14711,x14712)+E(f446(x14713,x14714,x14715,x14711),f446(x14713,x14714,x14715,x14712))
% 178.51/178.27 [1472]~E(x14721,x14722)+E(f862(x14721,x14723,x14724),f862(x14722,x14723,x14724))
% 178.51/178.27 [1473]~E(x14731,x14732)+E(f862(x14733,x14731,x14734),f862(x14733,x14732,x14734))
% 178.51/178.27 [1474]~E(x14741,x14742)+E(f862(x14743,x14744,x14741),f862(x14743,x14744,x14742))
% 178.51/178.27 [1475]~E(x14751,x14752)+E(f397(x14751,x14753,x14754),f397(x14752,x14753,x14754))
% 178.51/178.27 [1476]~E(x14761,x14762)+E(f397(x14763,x14761,x14764),f397(x14763,x14762,x14764))
% 178.51/178.27 [1477]~E(x14771,x14772)+E(f397(x14773,x14774,x14771),f397(x14773,x14774,x14772))
% 178.51/178.27 [1478]~E(x14781,x14782)+E(f844(x14781,x14783,x14784,x14785,x14786,x14787,x14788),f844(x14782,x14783,x14784,x14785,x14786,x14787,x14788))
% 178.51/178.27 [1479]~E(x14791,x14792)+E(f844(x14793,x14791,x14794,x14795,x14796,x14797,x14798),f844(x14793,x14792,x14794,x14795,x14796,x14797,x14798))
% 178.51/178.27 [1480]~E(x14801,x14802)+E(f844(x14803,x14804,x14801,x14805,x14806,x14807,x14808),f844(x14803,x14804,x14802,x14805,x14806,x14807,x14808))
% 178.51/178.27 [1481]~E(x14811,x14812)+E(f844(x14813,x14814,x14815,x14811,x14816,x14817,x14818),f844(x14813,x14814,x14815,x14812,x14816,x14817,x14818))
% 178.51/178.27 [1482]~E(x14821,x14822)+E(f844(x14823,x14824,x14825,x14826,x14821,x14827,x14828),f844(x14823,x14824,x14825,x14826,x14822,x14827,x14828))
% 178.51/178.27 [1483]~E(x14831,x14832)+E(f844(x14833,x14834,x14835,x14836,x14837,x14831,x14838),f844(x14833,x14834,x14835,x14836,x14837,x14832,x14838))
% 178.51/178.27 [1484]~E(x14841,x14842)+E(f844(x14843,x14844,x14845,x14846,x14847,x14848,x14841),f844(x14843,x14844,x14845,x14846,x14847,x14848,x14842))
% 178.51/178.27 [1485]~E(x14851,x14852)+E(f898(x14851,x14853,x14854,x14855,x14856,x14857,x14858),f898(x14852,x14853,x14854,x14855,x14856,x14857,x14858))
% 178.51/178.27 [1486]~E(x14861,x14862)+E(f898(x14863,x14861,x14864,x14865,x14866,x14867,x14868),f898(x14863,x14862,x14864,x14865,x14866,x14867,x14868))
% 178.51/178.27 [1487]~E(x14871,x14872)+E(f898(x14873,x14874,x14871,x14875,x14876,x14877,x14878),f898(x14873,x14874,x14872,x14875,x14876,x14877,x14878))
% 178.51/178.27 [1488]~E(x14881,x14882)+E(f898(x14883,x14884,x14885,x14881,x14886,x14887,x14888),f898(x14883,x14884,x14885,x14882,x14886,x14887,x14888))
% 178.51/178.27 [1489]~E(x14891,x14892)+E(f898(x14893,x14894,x14895,x14896,x14891,x14897,x14898),f898(x14893,x14894,x14895,x14896,x14892,x14897,x14898))
% 178.51/178.27 [1490]~E(x14901,x14902)+E(f898(x14903,x14904,x14905,x14906,x14907,x14901,x14908),f898(x14903,x14904,x14905,x14906,x14907,x14902,x14908))
% 178.51/178.27 [1491]~E(x14911,x14912)+E(f898(x14913,x14914,x14915,x14916,x14917,x14918,x14911),f898(x14913,x14914,x14915,x14916,x14917,x14918,x14912))
% 178.51/178.27 [1492]~E(x14921,x14922)+E(f670(x14921,x14923,x14924,x14925),f670(x14922,x14923,x14924,x14925))
% 178.51/178.27 [1493]~E(x14931,x14932)+E(f670(x14933,x14931,x14934,x14935),f670(x14933,x14932,x14934,x14935))
% 178.51/178.27 [1494]~E(x14941,x14942)+E(f670(x14943,x14944,x14941,x14945),f670(x14943,x14944,x14942,x14945))
% 178.51/178.27 [1495]~E(x14951,x14952)+E(f670(x14953,x14954,x14955,x14951),f670(x14953,x14954,x14955,x14952))
% 178.51/178.27 [1496]~E(x14961,x14962)+E(f616(x14961,x14963,x14964,x14965,x14966),f616(x14962,x14963,x14964,x14965,x14966))
% 178.51/178.27 [1497]~E(x14971,x14972)+E(f616(x14973,x14971,x14974,x14975,x14976),f616(x14973,x14972,x14974,x14975,x14976))
% 178.51/178.27 [1498]~E(x14981,x14982)+E(f616(x14983,x14984,x14981,x14985,x14986),f616(x14983,x14984,x14982,x14985,x14986))
% 178.51/178.27 [1499]~E(x14991,x14992)+E(f616(x14993,x14994,x14995,x14991,x14996),f616(x14993,x14994,x14995,x14992,x14996))
% 178.51/178.27 [1500]~E(x15001,x15002)+E(f616(x15003,x15004,x15005,x15006,x15001),f616(x15003,x15004,x15005,x15006,x15002))
% 178.51/178.27 [1501]~E(x15011,x15012)+E(f735(x15011,x15013,x15014,x15015),f735(x15012,x15013,x15014,x15015))
% 178.51/178.27 [1502]~E(x15021,x15022)+E(f735(x15023,x15021,x15024,x15025),f735(x15023,x15022,x15024,x15025))
% 178.51/178.27 [1503]~E(x15031,x15032)+E(f735(x15033,x15034,x15031,x15035),f735(x15033,x15034,x15032,x15035))
% 178.51/178.27 [1504]~E(x15041,x15042)+E(f735(x15043,x15044,x15045,x15041),f735(x15043,x15044,x15045,x15042))
% 178.51/178.27 [1505]~E(x15051,x15052)+E(f437(x15051,x15053,x15054),f437(x15052,x15053,x15054))
% 178.51/178.27 [1506]~E(x15061,x15062)+E(f437(x15063,x15061,x15064),f437(x15063,x15062,x15064))
% 178.51/178.27 [1507]~E(x15071,x15072)+E(f437(x15073,x15074,x15071),f437(x15073,x15074,x15072))
% 178.51/178.27 [1508]~E(x15081,x15082)+E(f469(x15081,x15083,x15084,x15085,x15086),f469(x15082,x15083,x15084,x15085,x15086))
% 178.51/178.27 [1509]~E(x15091,x15092)+E(f469(x15093,x15091,x15094,x15095,x15096),f469(x15093,x15092,x15094,x15095,x15096))
% 178.51/178.27 [1510]~E(x15101,x15102)+E(f469(x15103,x15104,x15101,x15105,x15106),f469(x15103,x15104,x15102,x15105,x15106))
% 178.51/178.27 [1511]~E(x15111,x15112)+E(f469(x15113,x15114,x15115,x15111,x15116),f469(x15113,x15114,x15115,x15112,x15116))
% 178.51/178.27 [1512]~E(x15121,x15122)+E(f469(x15123,x15124,x15125,x15126,x15121),f469(x15123,x15124,x15125,x15126,x15122))
% 178.51/178.27 [1513]~E(x15131,x15132)+E(f413(x15131,x15133,x15134,x15135),f413(x15132,x15133,x15134,x15135))
% 178.51/178.27 [1514]~E(x15141,x15142)+E(f413(x15143,x15141,x15144,x15145),f413(x15143,x15142,x15144,x15145))
% 178.51/178.27 [1515]~E(x15151,x15152)+E(f413(x15153,x15154,x15151,x15155),f413(x15153,x15154,x15152,x15155))
% 178.51/178.27 [1516]~E(x15161,x15162)+E(f413(x15163,x15164,x15165,x15161),f413(x15163,x15164,x15165,x15162))
% 178.51/178.27 [1517]~E(x15171,x15172)+E(f890(x15171,x15173),f890(x15172,x15173))
% 178.51/178.27 [1518]~E(x15181,x15182)+E(f890(x15183,x15181),f890(x15183,x15182))
% 178.51/178.27 [1519]~E(x15191,x15192)+E(f498(x15191,x15193,x15194),f498(x15192,x15193,x15194))
% 178.51/178.27 [1520]~E(x15201,x15202)+E(f498(x15203,x15201,x15204),f498(x15203,x15202,x15204))
% 178.51/178.27 [1521]~E(x15211,x15212)+E(f498(x15213,x15214,x15211),f498(x15213,x15214,x15212))
% 178.51/178.27 [1522]~E(x15221,x15222)+E(f892(x15221,x15223,x15224),f892(x15222,x15223,x15224))
% 178.51/178.27 [1523]~E(x15231,x15232)+E(f892(x15233,x15231,x15234),f892(x15233,x15232,x15234))
% 178.51/178.27 [1524]~E(x15241,x15242)+E(f892(x15243,x15244,x15241),f892(x15243,x15244,x15242))
% 178.51/178.27 [1525]~E(x15251,x15252)+E(f880(x15251,x15253,x15254,x15255),f880(x15252,x15253,x15254,x15255))
% 178.51/178.27 [1526]~E(x15261,x15262)+E(f880(x15263,x15261,x15264,x15265),f880(x15263,x15262,x15264,x15265))
% 178.51/178.27 [1527]~E(x15271,x15272)+E(f880(x15273,x15274,x15271,x15275),f880(x15273,x15274,x15272,x15275))
% 178.51/178.27 [1528]~E(x15281,x15282)+E(f880(x15283,x15284,x15285,x15281),f880(x15283,x15284,x15285,x15282))
% 178.51/178.27 [1529]~E(x15291,x15292)+E(f625(x15291,x15293,x15294),f625(x15292,x15293,x15294))
% 178.51/178.27 [1530]~E(x15301,x15302)+E(f625(x15303,x15301,x15304),f625(x15303,x15302,x15304))
% 178.51/178.27 [1531]~E(x15311,x15312)+E(f625(x15313,x15314,x15311),f625(x15313,x15314,x15312))
% 178.51/178.27 [1532]~E(x15321,x15322)+E(f127(x15321,x15323,x15324,x15325,x15326),f127(x15322,x15323,x15324,x15325,x15326))
% 178.51/178.27 [1533]~E(x15331,x15332)+E(f127(x15333,x15331,x15334,x15335,x15336),f127(x15333,x15332,x15334,x15335,x15336))
% 178.51/178.27 [1534]~E(x15341,x15342)+E(f127(x15343,x15344,x15341,x15345,x15346),f127(x15343,x15344,x15342,x15345,x15346))
% 178.51/178.27 [1535]~E(x15351,x15352)+E(f127(x15353,x15354,x15355,x15351,x15356),f127(x15353,x15354,x15355,x15352,x15356))
% 178.51/178.27 [1536]~E(x15361,x15362)+E(f127(x15363,x15364,x15365,x15366,x15361),f127(x15363,x15364,x15365,x15366,x15362))
% 178.51/178.27 [1537]~E(x15371,x15372)+E(f290(x15371,x15373),f290(x15372,x15373))
% 178.51/178.27 [1538]~E(x15381,x15382)+E(f290(x15383,x15381),f290(x15383,x15382))
% 178.51/178.27 [1539]~E(x15391,x15392)+E(f785(x15391,x15393,x15394,x15395,x15396,x15397,x15398),f785(x15392,x15393,x15394,x15395,x15396,x15397,x15398))
% 178.51/178.27 [1540]~E(x15401,x15402)+E(f785(x15403,x15401,x15404,x15405,x15406,x15407,x15408),f785(x15403,x15402,x15404,x15405,x15406,x15407,x15408))
% 178.51/178.27 [1541]~E(x15411,x15412)+E(f785(x15413,x15414,x15411,x15415,x15416,x15417,x15418),f785(x15413,x15414,x15412,x15415,x15416,x15417,x15418))
% 178.51/178.27 [1542]~E(x15421,x15422)+E(f785(x15423,x15424,x15425,x15421,x15426,x15427,x15428),f785(x15423,x15424,x15425,x15422,x15426,x15427,x15428))
% 178.51/178.27 [1543]~E(x15431,x15432)+E(f785(x15433,x15434,x15435,x15436,x15431,x15437,x15438),f785(x15433,x15434,x15435,x15436,x15432,x15437,x15438))
% 178.51/178.27 [1544]~E(x15441,x15442)+E(f785(x15443,x15444,x15445,x15446,x15447,x15441,x15448),f785(x15443,x15444,x15445,x15446,x15447,x15442,x15448))
% 178.51/178.27 [1545]~E(x15451,x15452)+E(f785(x15453,x15454,x15455,x15456,x15457,x15458,x15451),f785(x15453,x15454,x15455,x15456,x15457,x15458,x15452))
% 178.51/178.27 [1546]~E(x15461,x15462)+E(f73(x15461,x15463),f73(x15462,x15463))
% 178.51/178.27 [1547]~E(x15471,x15472)+E(f73(x15473,x15471),f73(x15473,x15472))
% 178.51/178.27 [1548]~E(x15481,x15482)+E(f627(x15481,x15483,x15484,x15485,x15486),f627(x15482,x15483,x15484,x15485,x15486))
% 178.51/178.27 [1549]~E(x15491,x15492)+E(f627(x15493,x15491,x15494,x15495,x15496),f627(x15493,x15492,x15494,x15495,x15496))
% 178.51/178.27 [1550]~E(x15501,x15502)+E(f627(x15503,x15504,x15501,x15505,x15506),f627(x15503,x15504,x15502,x15505,x15506))
% 178.51/178.27 [1551]~E(x15511,x15512)+E(f627(x15513,x15514,x15515,x15511,x15516),f627(x15513,x15514,x15515,x15512,x15516))
% 178.51/178.27 [1552]~E(x15521,x15522)+E(f627(x15523,x15524,x15525,x15526,x15521),f627(x15523,x15524,x15525,x15526,x15522))
% 178.51/178.27 [1553]~E(x15531,x15532)+E(f699(x15531,x15533,x15534,x15535,x15536),f699(x15532,x15533,x15534,x15535,x15536))
% 178.51/178.27 [1554]~E(x15541,x15542)+E(f699(x15543,x15541,x15544,x15545,x15546),f699(x15543,x15542,x15544,x15545,x15546))
% 178.51/178.27 [1555]~E(x15551,x15552)+E(f699(x15553,x15554,x15551,x15555,x15556),f699(x15553,x15554,x15552,x15555,x15556))
% 178.51/178.27 [1556]~E(x15561,x15562)+E(f699(x15563,x15564,x15565,x15561,x15566),f699(x15563,x15564,x15565,x15562,x15566))
% 178.51/178.27 [1557]~E(x15571,x15572)+E(f699(x15573,x15574,x15575,x15576,x15571),f699(x15573,x15574,x15575,x15576,x15572))
% 178.51/178.27 [1558]~E(x15581,x15582)+E(f809(x15581,x15583,x15584),f809(x15582,x15583,x15584))
% 178.51/178.27 [1559]~E(x15591,x15592)+E(f809(x15593,x15591,x15594),f809(x15593,x15592,x15594))
% 178.51/178.27 [1560]~E(x15601,x15602)+E(f809(x15603,x15604,x15601),f809(x15603,x15604,x15602))
% 178.51/178.27 [1561]~E(x15611,x15612)+E(f621(x15611,x15613,x15614),f621(x15612,x15613,x15614))
% 178.51/178.27 [1562]~E(x15621,x15622)+E(f621(x15623,x15621,x15624),f621(x15623,x15622,x15624))
% 178.51/178.27 [1563]~E(x15631,x15632)+E(f621(x15633,x15634,x15631),f621(x15633,x15634,x15632))
% 178.51/178.27 [1564]~E(x15641,x15642)+E(f481(x15641,x15643,x15644,x15645),f481(x15642,x15643,x15644,x15645))
% 178.51/178.27 [1565]~E(x15651,x15652)+E(f481(x15653,x15651,x15654,x15655),f481(x15653,x15652,x15654,x15655))
% 178.51/178.27 [1566]~E(x15661,x15662)+E(f481(x15663,x15664,x15661,x15665),f481(x15663,x15664,x15662,x15665))
% 178.51/178.27 [1567]~E(x15671,x15672)+E(f481(x15673,x15674,x15675,x15671),f481(x15673,x15674,x15675,x15672))
% 178.51/178.27 [1568]~E(x15681,x15682)+E(f610(x15681,x15683,x15684,x15685,x15686,x15687,x15688,x15689),f610(x15682,x15683,x15684,x15685,x15686,x15687,x15688,x15689))
% 178.51/178.27 [1569]~E(x15691,x15692)+E(f610(x15693,x15691,x15694,x15695,x15696,x15697,x15698,x15699),f610(x15693,x15692,x15694,x15695,x15696,x15697,x15698,x15699))
% 178.51/178.27 [1570]~E(x15701,x15702)+E(f610(x15703,x15704,x15701,x15705,x15706,x15707,x15708,x15709),f610(x15703,x15704,x15702,x15705,x15706,x15707,x15708,x15709))
% 178.51/178.27 [1571]~E(x15711,x15712)+E(f610(x15713,x15714,x15715,x15711,x15716,x15717,x15718,x15719),f610(x15713,x15714,x15715,x15712,x15716,x15717,x15718,x15719))
% 178.51/178.27 [1572]~E(x15721,x15722)+E(f610(x15723,x15724,x15725,x15726,x15721,x15727,x15728,x15729),f610(x15723,x15724,x15725,x15726,x15722,x15727,x15728,x15729))
% 178.51/178.27 [1573]~E(x15731,x15732)+E(f610(x15733,x15734,x15735,x15736,x15737,x15731,x15738,x15739),f610(x15733,x15734,x15735,x15736,x15737,x15732,x15738,x15739))
% 178.51/178.27 [1574]~E(x15741,x15742)+E(f610(x15743,x15744,x15745,x15746,x15747,x15748,x15741,x15749),f610(x15743,x15744,x15745,x15746,x15747,x15748,x15742,x15749))
% 178.51/178.27 [1575]~E(x15751,x15752)+E(f610(x15753,x15754,x15755,x15756,x15757,x15758,x15759,x15751),f610(x15753,x15754,x15755,x15756,x15757,x15758,x15759,x15752))
% 178.51/178.27 [1576]~E(x15761,x15762)+E(f835(x15761,x15763,x15764,x15765,x15766),f835(x15762,x15763,x15764,x15765,x15766))
% 178.51/178.27 [1577]~E(x15771,x15772)+E(f835(x15773,x15771,x15774,x15775,x15776),f835(x15773,x15772,x15774,x15775,x15776))
% 178.51/178.27 [1578]~E(x15781,x15782)+E(f835(x15783,x15784,x15781,x15785,x15786),f835(x15783,x15784,x15782,x15785,x15786))
% 178.51/178.27 [1579]~E(x15791,x15792)+E(f835(x15793,x15794,x15795,x15791,x15796),f835(x15793,x15794,x15795,x15792,x15796))
% 178.51/178.27 [1580]~E(x15801,x15802)+E(f835(x15803,x15804,x15805,x15806,x15801),f835(x15803,x15804,x15805,x15806,x15802))
% 178.51/178.27 [1581]~E(x15811,x15812)+E(f864(x15811,x15813,x15814,x15815,x15816),f864(x15812,x15813,x15814,x15815,x15816))
% 178.51/178.27 [1582]~E(x15821,x15822)+E(f864(x15823,x15821,x15824,x15825,x15826),f864(x15823,x15822,x15824,x15825,x15826))
% 178.51/178.27 [1583]~E(x15831,x15832)+E(f864(x15833,x15834,x15831,x15835,x15836),f864(x15833,x15834,x15832,x15835,x15836))
% 178.51/178.27 [1584]~E(x15841,x15842)+E(f864(x15843,x15844,x15845,x15841,x15846),f864(x15843,x15844,x15845,x15842,x15846))
% 178.51/178.27 [1585]~E(x15851,x15852)+E(f864(x15853,x15854,x15855,x15856,x15851),f864(x15853,x15854,x15855,x15856,x15852))
% 178.51/178.27 [1586]~E(x15861,x15862)+E(f383(x15861,x15863,x15864),f383(x15862,x15863,x15864))
% 178.51/178.27 [1587]~E(x15871,x15872)+E(f383(x15873,x15871,x15874),f383(x15873,x15872,x15874))
% 178.51/178.27 [1588]~E(x15881,x15882)+E(f383(x15883,x15884,x15881),f383(x15883,x15884,x15882))
% 178.51/178.27 [1589]~E(x15891,x15892)+E(f538(x15891,x15893,x15894,x15895,x15896,x15897),f538(x15892,x15893,x15894,x15895,x15896,x15897))
% 178.51/178.27 [1590]~E(x15901,x15902)+E(f538(x15903,x15901,x15904,x15905,x15906,x15907),f538(x15903,x15902,x15904,x15905,x15906,x15907))
% 178.51/178.27 [1591]~E(x15911,x15912)+E(f538(x15913,x15914,x15911,x15915,x15916,x15917),f538(x15913,x15914,x15912,x15915,x15916,x15917))
% 178.51/178.27 [1592]~E(x15921,x15922)+E(f538(x15923,x15924,x15925,x15921,x15926,x15927),f538(x15923,x15924,x15925,x15922,x15926,x15927))
% 178.51/178.27 [1593]~E(x15931,x15932)+E(f538(x15933,x15934,x15935,x15936,x15931,x15937),f538(x15933,x15934,x15935,x15936,x15932,x15937))
% 178.51/178.27 [1594]~E(x15941,x15942)+E(f538(x15943,x15944,x15945,x15946,x15947,x15941),f538(x15943,x15944,x15945,x15946,x15947,x15942))
% 178.51/178.27 [1595]~E(x15951,x15952)+E(f590(x15951,x15953,x15954,x15955,x15956,x15957),f590(x15952,x15953,x15954,x15955,x15956,x15957))
% 178.51/178.27 [1596]~E(x15961,x15962)+E(f590(x15963,x15961,x15964,x15965,x15966,x15967),f590(x15963,x15962,x15964,x15965,x15966,x15967))
% 178.51/178.27 [1597]~E(x15971,x15972)+E(f590(x15973,x15974,x15971,x15975,x15976,x15977),f590(x15973,x15974,x15972,x15975,x15976,x15977))
% 178.51/178.27 [1598]~E(x15981,x15982)+E(f590(x15983,x15984,x15985,x15981,x15986,x15987),f590(x15983,x15984,x15985,x15982,x15986,x15987))
% 178.51/178.27 [1599]~E(x15991,x15992)+E(f590(x15993,x15994,x15995,x15996,x15991,x15997),f590(x15993,x15994,x15995,x15996,x15992,x15997))
% 178.51/178.27 [1600]~E(x16001,x16002)+E(f590(x16003,x16004,x16005,x16006,x16007,x16001),f590(x16003,x16004,x16005,x16006,x16007,x16002))
% 178.51/178.27 [1601]~E(x16011,x16012)+E(f336(x16011),f336(x16012))
% 178.51/178.27 [1602]~E(x16021,x16022)+E(f878(x16021,x16023,x16024),f878(x16022,x16023,x16024))
% 178.51/178.27 [1603]~E(x16031,x16032)+E(f878(x16033,x16031,x16034),f878(x16033,x16032,x16034))
% 178.51/178.27 [1604]~E(x16041,x16042)+E(f878(x16043,x16044,x16041),f878(x16043,x16044,x16042))
% 178.51/178.27 [1605]~E(x16051,x16052)+E(f489(x16051,x16053,x16054),f489(x16052,x16053,x16054))
% 178.51/178.27 [1606]~E(x16061,x16062)+E(f489(x16063,x16061,x16064),f489(x16063,x16062,x16064))
% 178.51/178.27 [1607]~E(x16071,x16072)+E(f489(x16073,x16074,x16071),f489(x16073,x16074,x16072))
% 178.51/178.27 [1608]~E(x16081,x16082)+E(f389(x16081,x16083),f389(x16082,x16083))
% 178.51/178.27 [1609]~E(x16091,x16092)+E(f389(x16093,x16091),f389(x16093,x16092))
% 178.51/178.27 [1610]~E(x16101,x16102)+E(f130(x16101,x16103,x16104,x16105),f130(x16102,x16103,x16104,x16105))
% 178.51/178.27 [1611]~E(x16111,x16112)+E(f130(x16113,x16111,x16114,x16115),f130(x16113,x16112,x16114,x16115))
% 178.51/178.27 [1612]~E(x16121,x16122)+E(f130(x16123,x16124,x16121,x16125),f130(x16123,x16124,x16122,x16125))
% 178.51/178.27 [1613]~E(x16131,x16132)+E(f130(x16133,x16134,x16135,x16131),f130(x16133,x16134,x16135,x16132))
% 178.51/178.27 [1614]~E(x16141,x16142)+E(f695(x16141,x16143,x16144,x16145,x16146),f695(x16142,x16143,x16144,x16145,x16146))
% 178.51/178.27 [1615]~E(x16151,x16152)+E(f695(x16153,x16151,x16154,x16155,x16156),f695(x16153,x16152,x16154,x16155,x16156))
% 178.51/178.27 [1616]~E(x16161,x16162)+E(f695(x16163,x16164,x16161,x16165,x16166),f695(x16163,x16164,x16162,x16165,x16166))
% 178.51/178.27 [1617]~E(x16171,x16172)+E(f695(x16173,x16174,x16175,x16171,x16176),f695(x16173,x16174,x16175,x16172,x16176))
% 178.51/178.27 [1618]~E(x16181,x16182)+E(f695(x16183,x16184,x16185,x16186,x16181),f695(x16183,x16184,x16185,x16186,x16182))
% 178.51/178.27 [1619]~E(x16191,x16192)+E(f534(x16191,x16193,x16194,x16195),f534(x16192,x16193,x16194,x16195))
% 178.51/178.27 [1620]~E(x16201,x16202)+E(f534(x16203,x16201,x16204,x16205),f534(x16203,x16202,x16204,x16205))
% 178.51/178.27 [1621]~E(x16211,x16212)+E(f534(x16213,x16214,x16211,x16215),f534(x16213,x16214,x16212,x16215))
% 178.51/178.27 [1622]~E(x16221,x16222)+E(f534(x16223,x16224,x16225,x16221),f534(x16223,x16224,x16225,x16222))
% 178.51/178.27 [1623]~E(x16231,x16232)+E(f718(x16231,x16233,x16234),f718(x16232,x16233,x16234))
% 178.51/178.27 [1624]~E(x16241,x16242)+E(f718(x16243,x16241,x16244),f718(x16243,x16242,x16244))
% 178.51/178.27 [1625]~E(x16251,x16252)+E(f718(x16253,x16254,x16251),f718(x16253,x16254,x16252))
% 178.51/178.27 [1626]~E(x16261,x16262)+E(f637(x16261,x16263,x16264,x16265,x16266),f637(x16262,x16263,x16264,x16265,x16266))
% 178.51/178.27 [1627]~E(x16271,x16272)+E(f637(x16273,x16271,x16274,x16275,x16276),f637(x16273,x16272,x16274,x16275,x16276))
% 178.51/178.27 [1628]~E(x16281,x16282)+E(f637(x16283,x16284,x16281,x16285,x16286),f637(x16283,x16284,x16282,x16285,x16286))
% 178.51/178.27 [1629]~E(x16291,x16292)+E(f637(x16293,x16294,x16295,x16291,x16296),f637(x16293,x16294,x16295,x16292,x16296))
% 178.51/178.27 [1630]~E(x16301,x16302)+E(f637(x16303,x16304,x16305,x16306,x16301),f637(x16303,x16304,x16305,x16306,x16302))
% 178.51/178.27 [1631]~E(x16311,x16312)+E(f511(x16311),f511(x16312))
% 178.51/178.27 [1632]~E(x16321,x16322)+E(f690(x16321,x16323,x16324),f690(x16322,x16323,x16324))
% 178.51/178.27 [1633]~E(x16331,x16332)+E(f690(x16333,x16331,x16334),f690(x16333,x16332,x16334))
% 178.51/178.27 [1634]~E(x16341,x16342)+E(f690(x16343,x16344,x16341),f690(x16343,x16344,x16342))
% 178.51/178.27 [1635]~E(x16351,x16352)+E(f724(x16351,x16353,x16354,x16355),f724(x16352,x16353,x16354,x16355))
% 178.51/178.27 [1636]~E(x16361,x16362)+E(f724(x16363,x16361,x16364,x16365),f724(x16363,x16362,x16364,x16365))
% 178.51/178.27 [1637]~E(x16371,x16372)+E(f724(x16373,x16374,x16371,x16375),f724(x16373,x16374,x16372,x16375))
% 178.51/178.27 [1638]~E(x16381,x16382)+E(f724(x16383,x16384,x16385,x16381),f724(x16383,x16384,x16385,x16382))
% 178.51/178.27 [1639]~E(x16391,x16392)+E(f339(x16391,x16393,x16394),f339(x16392,x16393,x16394))
% 178.51/178.27 [1640]~E(x16401,x16402)+E(f339(x16403,x16401,x16404),f339(x16403,x16402,x16404))
% 178.51/178.27 [1641]~E(x16411,x16412)+E(f339(x16413,x16414,x16411),f339(x16413,x16414,x16412))
% 178.51/178.27 [1642]~E(x16421,x16422)+E(f506(x16421),f506(x16422))
% 178.51/178.27 [1643]~E(x16431,x16432)+E(f420(x16431,x16433,x16434,x16435,x16436),f420(x16432,x16433,x16434,x16435,x16436))
% 178.51/178.27 [1644]~E(x16441,x16442)+E(f420(x16443,x16441,x16444,x16445,x16446),f420(x16443,x16442,x16444,x16445,x16446))
% 178.51/178.27 [1645]~E(x16451,x16452)+E(f420(x16453,x16454,x16451,x16455,x16456),f420(x16453,x16454,x16452,x16455,x16456))
% 178.51/178.27 [1646]~E(x16461,x16462)+E(f420(x16463,x16464,x16465,x16461,x16466),f420(x16463,x16464,x16465,x16462,x16466))
% 178.51/178.27 [1647]~E(x16471,x16472)+E(f420(x16473,x16474,x16475,x16476,x16471),f420(x16473,x16474,x16475,x16476,x16472))
% 178.51/178.27 [1648]~E(x16481,x16482)+E(f813(x16481,x16483,x16484,x16485,x16486,x16487),f813(x16482,x16483,x16484,x16485,x16486,x16487))
% 178.51/178.27 [1649]~E(x16491,x16492)+E(f813(x16493,x16491,x16494,x16495,x16496,x16497),f813(x16493,x16492,x16494,x16495,x16496,x16497))
% 178.51/178.27 [1650]~E(x16501,x16502)+E(f813(x16503,x16504,x16501,x16505,x16506,x16507),f813(x16503,x16504,x16502,x16505,x16506,x16507))
% 178.51/178.27 [1651]~E(x16511,x16512)+E(f813(x16513,x16514,x16515,x16511,x16516,x16517),f813(x16513,x16514,x16515,x16512,x16516,x16517))
% 178.51/178.27 [1652]~E(x16521,x16522)+E(f813(x16523,x16524,x16525,x16526,x16521,x16527),f813(x16523,x16524,x16525,x16526,x16522,x16527))
% 178.51/178.27 [1653]~E(x16531,x16532)+E(f813(x16533,x16534,x16535,x16536,x16537,x16531),f813(x16533,x16534,x16535,x16536,x16537,x16532))
% 178.51/178.27 [1654]~E(x16541,x16542)+E(f468(x16541,x16543,x16544,x16545,x16546,x16547,x16548),f468(x16542,x16543,x16544,x16545,x16546,x16547,x16548))
% 178.51/178.27 [1655]~E(x16551,x16552)+E(f468(x16553,x16551,x16554,x16555,x16556,x16557,x16558),f468(x16553,x16552,x16554,x16555,x16556,x16557,x16558))
% 178.51/178.27 [1656]~E(x16561,x16562)+E(f468(x16563,x16564,x16561,x16565,x16566,x16567,x16568),f468(x16563,x16564,x16562,x16565,x16566,x16567,x16568))
% 178.51/178.27 [1657]~E(x16571,x16572)+E(f468(x16573,x16574,x16575,x16571,x16576,x16577,x16578),f468(x16573,x16574,x16575,x16572,x16576,x16577,x16578))
% 178.51/178.27 [1658]~E(x16581,x16582)+E(f468(x16583,x16584,x16585,x16586,x16581,x16587,x16588),f468(x16583,x16584,x16585,x16586,x16582,x16587,x16588))
% 178.51/178.27 [1659]~E(x16591,x16592)+E(f468(x16593,x16594,x16595,x16596,x16597,x16591,x16598),f468(x16593,x16594,x16595,x16596,x16597,x16592,x16598))
% 178.51/178.27 [1660]~E(x16601,x16602)+E(f468(x16603,x16604,x16605,x16606,x16607,x16608,x16601),f468(x16603,x16604,x16605,x16606,x16607,x16608,x16602))
% 178.51/178.27 [1661]~E(x16611,x16612)+E(f409(x16611,x16613,x16614),f409(x16612,x16613,x16614))
% 178.51/178.27 [1662]~E(x16621,x16622)+E(f409(x16623,x16621,x16624),f409(x16623,x16622,x16624))
% 178.51/178.27 [1663]~E(x16631,x16632)+E(f409(x16633,x16634,x16631),f409(x16633,x16634,x16632))
% 178.51/178.27 [1664]~E(x16641,x16642)+E(f607(x16641,x16643,x16644,x16645),f607(x16642,x16643,x16644,x16645))
% 178.51/178.27 [1665]~E(x16651,x16652)+E(f607(x16653,x16651,x16654,x16655),f607(x16653,x16652,x16654,x16655))
% 178.51/178.27 [1666]~E(x16661,x16662)+E(f607(x16663,x16664,x16661,x16665),f607(x16663,x16664,x16662,x16665))
% 178.51/178.27 [1667]~E(x16671,x16672)+E(f607(x16673,x16674,x16675,x16671),f607(x16673,x16674,x16675,x16672))
% 178.51/178.27 [1668]~E(x16681,x16682)+E(f122(x16681,x16683,x16684,x16685),f122(x16682,x16683,x16684,x16685))
% 178.51/178.27 [1669]~E(x16691,x16692)+E(f122(x16693,x16691,x16694,x16695),f122(x16693,x16692,x16694,x16695))
% 178.51/178.27 [1670]~E(x16701,x16702)+E(f122(x16703,x16704,x16701,x16705),f122(x16703,x16704,x16702,x16705))
% 178.51/178.27 [1671]~E(x16711,x16712)+E(f122(x16713,x16714,x16715,x16711),f122(x16713,x16714,x16715,x16712))
% 178.51/178.27 [1672]~E(x16721,x16722)+E(f274(x16721,x16723),f274(x16722,x16723))
% 178.51/178.27 [1673]~E(x16731,x16732)+E(f274(x16733,x16731),f274(x16733,x16732))
% 178.51/178.27 [1674]~E(x16741,x16742)+E(f483(x16741,x16743,x16744),f483(x16742,x16743,x16744))
% 178.51/178.27 [1675]~E(x16751,x16752)+E(f483(x16753,x16751,x16754),f483(x16753,x16752,x16754))
% 178.51/178.27 [1676]~E(x16761,x16762)+E(f483(x16763,x16764,x16761),f483(x16763,x16764,x16762))
% 178.51/178.27 [1677]~E(x16771,x16772)+E(f448(x16771,x16773,x16774,x16775),f448(x16772,x16773,x16774,x16775))
% 178.51/178.27 [1678]~E(x16781,x16782)+E(f448(x16783,x16781,x16784,x16785),f448(x16783,x16782,x16784,x16785))
% 178.51/178.27 [1679]~E(x16791,x16792)+E(f448(x16793,x16794,x16791,x16795),f448(x16793,x16794,x16792,x16795))
% 178.51/178.27 [1680]~E(x16801,x16802)+E(f448(x16803,x16804,x16805,x16801),f448(x16803,x16804,x16805,x16802))
% 178.51/178.27 [1681]~E(x16811,x16812)+E(f583(x16811,x16813),f583(x16812,x16813))
% 178.51/178.27 [1682]~E(x16821,x16822)+E(f583(x16823,x16821),f583(x16823,x16822))
% 178.51/178.27 [1683]~E(x16831,x16832)+E(f763(x16831,x16833,x16834),f763(x16832,x16833,x16834))
% 178.51/178.27 [1684]~E(x16841,x16842)+E(f763(x16843,x16841,x16844),f763(x16843,x16842,x16844))
% 178.51/178.27 [1685]~E(x16851,x16852)+E(f763(x16853,x16854,x16851),f763(x16853,x16854,x16852))
% 178.51/178.27 [1686]~E(x16861,x16862)+E(f578(x16861,x16863,x16864,x16865),f578(x16862,x16863,x16864,x16865))
% 178.51/178.27 [1687]~E(x16871,x16872)+E(f578(x16873,x16871,x16874,x16875),f578(x16873,x16872,x16874,x16875))
% 178.51/178.27 [1688]~E(x16881,x16882)+E(f578(x16883,x16884,x16881,x16885),f578(x16883,x16884,x16882,x16885))
% 178.51/178.27 [1689]~E(x16891,x16892)+E(f578(x16893,x16894,x16895,x16891),f578(x16893,x16894,x16895,x16892))
% 178.51/178.27 [1690]~E(x16901,x16902)+E(f888(x16901,x16903,x16904,x16905,x16906),f888(x16902,x16903,x16904,x16905,x16906))
% 178.51/178.27 [1691]~E(x16911,x16912)+E(f888(x16913,x16911,x16914,x16915,x16916),f888(x16913,x16912,x16914,x16915,x16916))
% 178.51/178.27 [1692]~E(x16921,x16922)+E(f888(x16923,x16924,x16921,x16925,x16926),f888(x16923,x16924,x16922,x16925,x16926))
% 178.51/178.27 [1693]~E(x16931,x16932)+E(f888(x16933,x16934,x16935,x16931,x16936),f888(x16933,x16934,x16935,x16932,x16936))
% 178.51/178.27 [1694]~E(x16941,x16942)+E(f888(x16943,x16944,x16945,x16946,x16941),f888(x16943,x16944,x16945,x16946,x16942))
% 178.51/178.27 [1695]~E(x16951,x16952)+E(f609(x16951,x16953,x16954),f609(x16952,x16953,x16954))
% 178.51/178.27 [1696]~E(x16961,x16962)+E(f609(x16963,x16961,x16964),f609(x16963,x16962,x16964))
% 178.51/178.27 [1697]~E(x16971,x16972)+E(f609(x16973,x16974,x16971),f609(x16973,x16974,x16972))
% 178.51/178.27 [1698]~E(x16981,x16982)+E(f807(x16981,x16983,x16984),f807(x16982,x16983,x16984))
% 178.51/178.27 [1699]~E(x16991,x16992)+E(f807(x16993,x16991,x16994),f807(x16993,x16992,x16994))
% 178.51/178.27 [1700]~E(x17001,x17002)+E(f807(x17003,x17004,x17001),f807(x17003,x17004,x17002))
% 178.51/178.27 [1701]~E(x17011,x17012)+E(f591(x17011,x17013,x17014,x17015,x17016,x17017),f591(x17012,x17013,x17014,x17015,x17016,x17017))
% 178.51/178.27 [1702]~E(x17021,x17022)+E(f591(x17023,x17021,x17024,x17025,x17026,x17027),f591(x17023,x17022,x17024,x17025,x17026,x17027))
% 178.51/178.27 [1703]~E(x17031,x17032)+E(f591(x17033,x17034,x17031,x17035,x17036,x17037),f591(x17033,x17034,x17032,x17035,x17036,x17037))
% 178.51/178.27 [1704]~E(x17041,x17042)+E(f591(x17043,x17044,x17045,x17041,x17046,x17047),f591(x17043,x17044,x17045,x17042,x17046,x17047))
% 178.51/178.27 [1705]~E(x17051,x17052)+E(f591(x17053,x17054,x17055,x17056,x17051,x17057),f591(x17053,x17054,x17055,x17056,x17052,x17057))
% 178.51/178.27 [1706]~E(x17061,x17062)+E(f591(x17063,x17064,x17065,x17066,x17067,x17061),f591(x17063,x17064,x17065,x17066,x17067,x17062))
% 178.51/178.27 [1707]~E(x17071,x17072)+E(f840(x17071,x17073,x17074,x17075,x17076,x17077,x17078,x17079),f840(x17072,x17073,x17074,x17075,x17076,x17077,x17078,x17079))
% 178.51/178.27 [1708]~E(x17081,x17082)+E(f840(x17083,x17081,x17084,x17085,x17086,x17087,x17088,x17089),f840(x17083,x17082,x17084,x17085,x17086,x17087,x17088,x17089))
% 178.51/178.27 [1709]~E(x17091,x17092)+E(f840(x17093,x17094,x17091,x17095,x17096,x17097,x17098,x17099),f840(x17093,x17094,x17092,x17095,x17096,x17097,x17098,x17099))
% 178.51/178.27 [1710]~E(x17101,x17102)+E(f840(x17103,x17104,x17105,x17101,x17106,x17107,x17108,x17109),f840(x17103,x17104,x17105,x17102,x17106,x17107,x17108,x17109))
% 178.51/178.27 [1711]~E(x17111,x17112)+E(f840(x17113,x17114,x17115,x17116,x17111,x17117,x17118,x17119),f840(x17113,x17114,x17115,x17116,x17112,x17117,x17118,x17119))
% 178.51/178.27 [1712]~E(x17121,x17122)+E(f840(x17123,x17124,x17125,x17126,x17127,x17121,x17128,x17129),f840(x17123,x17124,x17125,x17126,x17127,x17122,x17128,x17129))
% 178.51/178.27 [1713]~E(x17131,x17132)+E(f840(x17133,x17134,x17135,x17136,x17137,x17138,x17131,x17139),f840(x17133,x17134,x17135,x17136,x17137,x17138,x17132,x17139))
% 178.51/178.27 [1714]~E(x17141,x17142)+E(f840(x17143,x17144,x17145,x17146,x17147,x17148,x17149,x17141),f840(x17143,x17144,x17145,x17146,x17147,x17148,x17149,x17142))
% 178.51/178.27 [1715]~E(x17151,x17152)+E(f418(x17151,x17153),f418(x17152,x17153))
% 178.51/178.27 [1716]~E(x17161,x17162)+E(f418(x17163,x17161),f418(x17163,x17162))
% 178.51/178.27 [1717]~E(x17171,x17172)+E(f356(x17171,x17173,x17174),f356(x17172,x17173,x17174))
% 178.51/178.27 [1718]~E(x17181,x17182)+E(f356(x17183,x17181,x17184),f356(x17183,x17182,x17184))
% 178.51/178.27 [1719]~E(x17191,x17192)+E(f356(x17193,x17194,x17191),f356(x17193,x17194,x17192))
% 178.51/178.27 [1720]~E(x17201,x17202)+E(f875(x17201,x17203,x17204),f875(x17202,x17203,x17204))
% 178.51/178.27 [1721]~E(x17211,x17212)+E(f875(x17213,x17211,x17214),f875(x17213,x17212,x17214))
% 178.51/178.27 [1722]~E(x17221,x17222)+E(f875(x17223,x17224,x17221),f875(x17223,x17224,x17222))
% 178.51/178.27 [1723]~E(x17231,x17232)+E(f731(x17231,x17233),f731(x17232,x17233))
% 178.51/178.27 [1724]~E(x17241,x17242)+E(f731(x17243,x17241),f731(x17243,x17242))
% 178.51/178.27 [1725]~E(x17251,x17252)+E(f882(x17251,x17253,x17254,x17255),f882(x17252,x17253,x17254,x17255))
% 178.51/178.27 [1726]~E(x17261,x17262)+E(f882(x17263,x17261,x17264,x17265),f882(x17263,x17262,x17264,x17265))
% 178.51/178.27 [1727]~E(x17271,x17272)+E(f882(x17273,x17274,x17271,x17275),f882(x17273,x17274,x17272,x17275))
% 178.51/178.27 [1728]~E(x17281,x17282)+E(f882(x17283,x17284,x17285,x17281),f882(x17283,x17284,x17285,x17282))
% 178.51/178.27 [1729]~E(x17291,x17292)+E(f458(x17291,x17293,x17294,x17295),f458(x17292,x17293,x17294,x17295))
% 178.51/178.27 [1730]~E(x17301,x17302)+E(f458(x17303,x17301,x17304,x17305),f458(x17303,x17302,x17304,x17305))
% 178.51/178.27 [1731]~E(x17311,x17312)+E(f458(x17313,x17314,x17311,x17315),f458(x17313,x17314,x17312,x17315))
% 178.51/178.27 [1732]~E(x17321,x17322)+E(f458(x17323,x17324,x17325,x17321),f458(x17323,x17324,x17325,x17322))
% 178.51/178.27 [1733]~E(x17331,x17332)+E(f645(x17331,x17333,x17334,x17335),f645(x17332,x17333,x17334,x17335))
% 178.51/178.27 [1734]~E(x17341,x17342)+E(f645(x17343,x17341,x17344,x17345),f645(x17343,x17342,x17344,x17345))
% 178.51/178.27 [1735]~E(x17351,x17352)+E(f645(x17353,x17354,x17351,x17355),f645(x17353,x17354,x17352,x17355))
% 178.51/178.27 [1736]~E(x17361,x17362)+E(f645(x17363,x17364,x17365,x17361),f645(x17363,x17364,x17365,x17362))
% 178.51/178.27 [1737]~E(x17371,x17372)+E(f736(x17371,x17373,x17374,x17375,x17376),f736(x17372,x17373,x17374,x17375,x17376))
% 178.51/178.27 [1738]~E(x17381,x17382)+E(f736(x17383,x17381,x17384,x17385,x17386),f736(x17383,x17382,x17384,x17385,x17386))
% 178.51/178.27 [1739]~E(x17391,x17392)+E(f736(x17393,x17394,x17391,x17395,x17396),f736(x17393,x17394,x17392,x17395,x17396))
% 178.51/178.27 [1740]~E(x17401,x17402)+E(f736(x17403,x17404,x17405,x17401,x17406),f736(x17403,x17404,x17405,x17402,x17406))
% 178.51/178.27 [1741]~E(x17411,x17412)+E(f736(x17413,x17414,x17415,x17416,x17411),f736(x17413,x17414,x17415,x17416,x17412))
% 178.51/178.27 [1742]~E(x17421,x17422)+E(f495(x17421,x17423,x17424),f495(x17422,x17423,x17424))
% 178.51/178.27 [1743]~E(x17431,x17432)+E(f495(x17433,x17431,x17434),f495(x17433,x17432,x17434))
% 178.51/178.27 [1744]~E(x17441,x17442)+E(f495(x17443,x17444,x17441),f495(x17443,x17444,x17442))
% 178.51/178.27 [1745]~E(x17451,x17452)+E(f887(x17451,x17453,x17454,x17455,x17456),f887(x17452,x17453,x17454,x17455,x17456))
% 178.51/178.27 [1746]~E(x17461,x17462)+E(f887(x17463,x17461,x17464,x17465,x17466),f887(x17463,x17462,x17464,x17465,x17466))
% 178.51/178.27 [1747]~E(x17471,x17472)+E(f887(x17473,x17474,x17471,x17475,x17476),f887(x17473,x17474,x17472,x17475,x17476))
% 178.51/178.27 [1748]~E(x17481,x17482)+E(f887(x17483,x17484,x17485,x17481,x17486),f887(x17483,x17484,x17485,x17482,x17486))
% 178.51/178.27 [1749]~E(x17491,x17492)+E(f887(x17493,x17494,x17495,x17496,x17491),f887(x17493,x17494,x17495,x17496,x17492))
% 178.51/178.27 [1750]~E(x17501,x17502)+E(f705(x17501,x17503),f705(x17502,x17503))
% 178.51/178.27 [1751]~E(x17511,x17512)+E(f705(x17513,x17511),f705(x17513,x17512))
% 178.51/178.27 [1752]~E(x17521,x17522)+E(f427(x17521,x17523,x17524,x17525),f427(x17522,x17523,x17524,x17525))
% 178.51/178.27 [1753]~E(x17531,x17532)+E(f427(x17533,x17531,x17534,x17535),f427(x17533,x17532,x17534,x17535))
% 178.51/178.27 [1754]~E(x17541,x17542)+E(f427(x17543,x17544,x17541,x17545),f427(x17543,x17544,x17542,x17545))
% 178.51/178.27 [1755]~E(x17551,x17552)+E(f427(x17553,x17554,x17555,x17551),f427(x17553,x17554,x17555,x17552))
% 178.51/178.27 [1756]~E(x17561,x17562)+E(f865(x17561,x17563,x17564,x17565),f865(x17562,x17563,x17564,x17565))
% 178.51/178.27 [1757]~E(x17571,x17572)+E(f865(x17573,x17571,x17574,x17575),f865(x17573,x17572,x17574,x17575))
% 178.51/178.27 [1758]~E(x17581,x17582)+E(f865(x17583,x17584,x17581,x17585),f865(x17583,x17584,x17582,x17585))
% 178.51/178.27 [1759]~E(x17591,x17592)+E(f865(x17593,x17594,x17595,x17591),f865(x17593,x17594,x17595,x17592))
% 178.51/178.27 [1760]~E(x17601,x17602)+E(f347(x17601,x17603),f347(x17602,x17603))
% 178.51/178.27 [1761]~E(x17611,x17612)+E(f347(x17613,x17611),f347(x17613,x17612))
% 178.51/178.27 [1762]~E(x17621,x17622)+E(f830(x17621,x17623,x17624,x17625),f830(x17622,x17623,x17624,x17625))
% 178.51/178.27 [1763]~E(x17631,x17632)+E(f830(x17633,x17631,x17634,x17635),f830(x17633,x17632,x17634,x17635))
% 178.51/178.27 [1764]~E(x17641,x17642)+E(f830(x17643,x17644,x17641,x17645),f830(x17643,x17644,x17642,x17645))
% 178.51/178.27 [1765]~E(x17651,x17652)+E(f830(x17653,x17654,x17655,x17651),f830(x17653,x17654,x17655,x17652))
% 178.51/178.27 [1766]~E(x17661,x17662)+E(f211(x17661,x17663,x17664,x17665,x17666,x17667,x17668),f211(x17662,x17663,x17664,x17665,x17666,x17667,x17668))
% 178.51/178.27 [1767]~E(x17671,x17672)+E(f211(x17673,x17671,x17674,x17675,x17676,x17677,x17678),f211(x17673,x17672,x17674,x17675,x17676,x17677,x17678))
% 178.51/178.27 [1768]~E(x17681,x17682)+E(f211(x17683,x17684,x17681,x17685,x17686,x17687,x17688),f211(x17683,x17684,x17682,x17685,x17686,x17687,x17688))
% 178.51/178.27 [1769]~E(x17691,x17692)+E(f211(x17693,x17694,x17695,x17691,x17696,x17697,x17698),f211(x17693,x17694,x17695,x17692,x17696,x17697,x17698))
% 178.51/178.27 [1770]~E(x17701,x17702)+E(f211(x17703,x17704,x17705,x17706,x17701,x17707,x17708),f211(x17703,x17704,x17705,x17706,x17702,x17707,x17708))
% 178.51/178.27 [1771]~E(x17711,x17712)+E(f211(x17713,x17714,x17715,x17716,x17717,x17711,x17718),f211(x17713,x17714,x17715,x17716,x17717,x17712,x17718))
% 178.51/178.27 [1772]~E(x17721,x17722)+E(f211(x17723,x17724,x17725,x17726,x17727,x17728,x17721),f211(x17723,x17724,x17725,x17726,x17727,x17728,x17722))
% 178.51/178.27 [1773]~E(x17731,x17732)+E(f298(x17731,x17733,x17734,x17735),f298(x17732,x17733,x17734,x17735))
% 178.51/178.27 [1774]~E(x17741,x17742)+E(f298(x17743,x17741,x17744,x17745),f298(x17743,x17742,x17744,x17745))
% 178.51/178.27 [1775]~E(x17751,x17752)+E(f298(x17753,x17754,x17751,x17755),f298(x17753,x17754,x17752,x17755))
% 178.51/178.27 [1776]~E(x17761,x17762)+E(f298(x17763,x17764,x17765,x17761),f298(x17763,x17764,x17765,x17762))
% 178.51/178.27 [1777]~E(x17771,x17772)+E(f223(x17771,x17773,x17774,x17775,x17776),f223(x17772,x17773,x17774,x17775,x17776))
% 178.51/178.27 [1778]~E(x17781,x17782)+E(f223(x17783,x17781,x17784,x17785,x17786),f223(x17783,x17782,x17784,x17785,x17786))
% 178.51/178.27 [1779]~E(x17791,x17792)+E(f223(x17793,x17794,x17791,x17795,x17796),f223(x17793,x17794,x17792,x17795,x17796))
% 178.51/178.27 [1780]~E(x17801,x17802)+E(f223(x17803,x17804,x17805,x17801,x17806),f223(x17803,x17804,x17805,x17802,x17806))
% 178.51/178.27 [1781]~E(x17811,x17812)+E(f223(x17813,x17814,x17815,x17816,x17811),f223(x17813,x17814,x17815,x17816,x17812))
% 178.51/178.27 [1782]~E(x17821,x17822)+E(f463(x17821,x17823,x17824,x17825,x17826),f463(x17822,x17823,x17824,x17825,x17826))
% 178.51/178.27 [1783]~E(x17831,x17832)+E(f463(x17833,x17831,x17834,x17835,x17836),f463(x17833,x17832,x17834,x17835,x17836))
% 178.51/178.27 [1784]~E(x17841,x17842)+E(f463(x17843,x17844,x17841,x17845,x17846),f463(x17843,x17844,x17842,x17845,x17846))
% 178.51/178.27 [1785]~E(x17851,x17852)+E(f463(x17853,x17854,x17855,x17851,x17856),f463(x17853,x17854,x17855,x17852,x17856))
% 178.51/178.27 [1786]~E(x17861,x17862)+E(f463(x17863,x17864,x17865,x17866,x17861),f463(x17863,x17864,x17865,x17866,x17862))
% 178.51/178.27 [1787]~E(x17871,x17872)+E(f876(x17871,x17873,x17874),f876(x17872,x17873,x17874))
% 178.51/178.27 [1788]~E(x17881,x17882)+E(f876(x17883,x17881,x17884),f876(x17883,x17882,x17884))
% 178.51/178.27 [1789]~E(x17891,x17892)+E(f876(x17893,x17894,x17891),f876(x17893,x17894,x17892))
% 178.51/178.27 [1790]~E(x17901,x17902)+E(f815(x17901,x17903),f815(x17902,x17903))
% 178.51/178.27 [1791]~E(x17911,x17912)+E(f815(x17913,x17911),f815(x17913,x17912))
% 178.51/178.27 [1792]~E(x17921,x17922)+E(f407(x17921),f407(x17922))
% 178.51/178.27 [1793]~E(x17931,x17932)+E(f827(x17931,x17933,x17934,x17935,x17936,x17937),f827(x17932,x17933,x17934,x17935,x17936,x17937))
% 178.51/178.27 [1794]~E(x17941,x17942)+E(f827(x17943,x17941,x17944,x17945,x17946,x17947),f827(x17943,x17942,x17944,x17945,x17946,x17947))
% 178.51/178.27 [1795]~E(x17951,x17952)+E(f827(x17953,x17954,x17951,x17955,x17956,x17957),f827(x17953,x17954,x17952,x17955,x17956,x17957))
% 178.51/178.27 [1796]~E(x17961,x17962)+E(f827(x17963,x17964,x17965,x17961,x17966,x17967),f827(x17963,x17964,x17965,x17962,x17966,x17967))
% 178.51/178.27 [1797]~E(x17971,x17972)+E(f827(x17973,x17974,x17975,x17976,x17971,x17977),f827(x17973,x17974,x17975,x17976,x17972,x17977))
% 178.51/178.27 [1798]~E(x17981,x17982)+E(f827(x17983,x17984,x17985,x17986,x17987,x17981),f827(x17983,x17984,x17985,x17986,x17987,x17982))
% 178.51/178.27 [1799]~E(x17991,x17992)+E(f385(x17991,x17993,x17994),f385(x17992,x17993,x17994))
% 178.51/178.27 [1800]~E(x18001,x18002)+E(f385(x18003,x18001,x18004),f385(x18003,x18002,x18004))
% 178.51/178.27 [1801]~E(x18011,x18012)+E(f385(x18013,x18014,x18011),f385(x18013,x18014,x18012))
% 178.51/178.27 [1802]~E(x18021,x18022)+E(f596(x18021,x18023,x18024),f596(x18022,x18023,x18024))
% 178.51/178.27 [1803]~E(x18031,x18032)+E(f596(x18033,x18031,x18034),f596(x18033,x18032,x18034))
% 178.51/178.27 [1804]~E(x18041,x18042)+E(f596(x18043,x18044,x18041),f596(x18043,x18044,x18042))
% 178.51/178.27 [1805]~E(x18051,x18052)+E(f805(x18051),f805(x18052))
% 178.51/178.27 [1806]~E(x18061,x18062)+E(f873(x18061,x18063,x18064,x18065,x18066,x18067),f873(x18062,x18063,x18064,x18065,x18066,x18067))
% 178.51/178.27 [1807]~E(x18071,x18072)+E(f873(x18073,x18071,x18074,x18075,x18076,x18077),f873(x18073,x18072,x18074,x18075,x18076,x18077))
% 178.51/178.27 [1808]~E(x18081,x18082)+E(f873(x18083,x18084,x18081,x18085,x18086,x18087),f873(x18083,x18084,x18082,x18085,x18086,x18087))
% 178.51/178.27 [1809]~E(x18091,x18092)+E(f873(x18093,x18094,x18095,x18091,x18096,x18097),f873(x18093,x18094,x18095,x18092,x18096,x18097))
% 178.51/178.27 [1810]~E(x18101,x18102)+E(f873(x18103,x18104,x18105,x18106,x18101,x18107),f873(x18103,x18104,x18105,x18106,x18102,x18107))
% 178.51/178.27 [1811]~E(x18111,x18112)+E(f873(x18113,x18114,x18115,x18116,x18117,x18111),f873(x18113,x18114,x18115,x18116,x18117,x18112))
% 178.51/178.27 [1812]~E(x18121,x18122)+E(f658(x18121,x18123,x18124),f658(x18122,x18123,x18124))
% 178.51/178.27 [1813]~E(x18131,x18132)+E(f658(x18133,x18131,x18134),f658(x18133,x18132,x18134))
% 178.51/178.27 [1814]~E(x18141,x18142)+E(f658(x18143,x18144,x18141),f658(x18143,x18144,x18142))
% 178.51/178.27 [1815]~E(x18151,x18152)+E(f714(x18151,x18153,x18154),f714(x18152,x18153,x18154))
% 178.51/178.27 [1816]~E(x18161,x18162)+E(f714(x18163,x18161,x18164),f714(x18163,x18162,x18164))
% 178.51/178.27 [1817]~E(x18171,x18172)+E(f714(x18173,x18174,x18171),f714(x18173,x18174,x18172))
% 178.51/178.27 [1818]~E(x18181,x18182)+E(f816(x18181,x18183,x18184),f816(x18182,x18183,x18184))
% 178.51/178.27 [1819]~E(x18191,x18192)+E(f816(x18193,x18191,x18194),f816(x18193,x18192,x18194))
% 178.51/178.27 [1820]~E(x18201,x18202)+E(f816(x18203,x18204,x18201),f816(x18203,x18204,x18202))
% 178.51/178.27 [1821]~E(x18211,x18212)+E(f720(x18211,x18213),f720(x18212,x18213))
% 178.51/178.27 [1822]~E(x18221,x18222)+E(f720(x18223,x18221),f720(x18223,x18222))
% 178.51/178.27 [1823]~E(x18231,x18232)+E(f460(x18231,x18233,x18234,x18235),f460(x18232,x18233,x18234,x18235))
% 178.51/178.27 [1824]~E(x18241,x18242)+E(f460(x18243,x18241,x18244,x18245),f460(x18243,x18242,x18244,x18245))
% 178.51/178.27 [1825]~E(x18251,x18252)+E(f460(x18253,x18254,x18251,x18255),f460(x18253,x18254,x18252,x18255))
% 178.51/178.27 [1826]~E(x18261,x18262)+E(f460(x18263,x18264,x18265,x18261),f460(x18263,x18264,x18265,x18262))
% 178.51/178.27 [1827]~E(x18271,x18272)+E(f585(x18271,x18273,x18274),f585(x18272,x18273,x18274))
% 178.51/178.27 [1828]~E(x18281,x18282)+E(f585(x18283,x18281,x18284),f585(x18283,x18282,x18284))
% 178.51/178.27 [1829]~E(x18291,x18292)+E(f585(x18293,x18294,x18291),f585(x18293,x18294,x18292))
% 178.51/178.27 [1830]~E(x18301,x18302)+E(f833(x18301,x18303,x18304,x18305),f833(x18302,x18303,x18304,x18305))
% 178.51/178.27 [1831]~E(x18311,x18312)+E(f833(x18313,x18311,x18314,x18315),f833(x18313,x18312,x18314,x18315))
% 178.51/178.27 [1832]~E(x18321,x18322)+E(f833(x18323,x18324,x18321,x18325),f833(x18323,x18324,x18322,x18325))
% 178.51/178.27 [1833]~E(x18331,x18332)+E(f833(x18333,x18334,x18335,x18331),f833(x18333,x18334,x18335,x18332))
% 178.51/178.27 [1834]~E(x18341,x18342)+E(f522(x18341,x18343,x18344,x18345),f522(x18342,x18343,x18344,x18345))
% 178.51/178.27 [1835]~E(x18351,x18352)+E(f522(x18353,x18351,x18354,x18355),f522(x18353,x18352,x18354,x18355))
% 178.51/178.27 [1836]~E(x18361,x18362)+E(f522(x18363,x18364,x18361,x18365),f522(x18363,x18364,x18362,x18365))
% 178.51/178.27 [1837]~E(x18371,x18372)+E(f522(x18373,x18374,x18375,x18371),f522(x18373,x18374,x18375,x18372))
% 178.51/178.27 [1838]~E(x18381,x18382)+E(f507(x18381),f507(x18382))
% 178.51/178.27 [1839]~E(x18391,x18392)+E(f883(x18391,x18393,x18394),f883(x18392,x18393,x18394))
% 178.51/178.27 [1840]~E(x18401,x18402)+E(f883(x18403,x18401,x18404),f883(x18403,x18402,x18404))
% 178.51/178.27 [1841]~E(x18411,x18412)+E(f883(x18413,x18414,x18411),f883(x18413,x18414,x18412))
% 178.51/178.27 [1842]~E(x18421,x18422)+E(f320(x18421,x18423,x18424),f320(x18422,x18423,x18424))
% 178.51/178.27 [1843]~E(x18431,x18432)+E(f320(x18433,x18431,x18434),f320(x18433,x18432,x18434))
% 178.51/178.27 [1844]~E(x18441,x18442)+E(f320(x18443,x18444,x18441),f320(x18443,x18444,x18442))
% 178.51/178.27 [1845]~E(x18451,x18452)+E(f894(x18451,x18453,x18454,x18455,x18456),f894(x18452,x18453,x18454,x18455,x18456))
% 178.51/178.27 [1846]~E(x18461,x18462)+E(f894(x18463,x18461,x18464,x18465,x18466),f894(x18463,x18462,x18464,x18465,x18466))
% 178.51/178.27 [1847]~E(x18471,x18472)+E(f894(x18473,x18474,x18471,x18475,x18476),f894(x18473,x18474,x18472,x18475,x18476))
% 178.51/178.27 [1848]~E(x18481,x18482)+E(f894(x18483,x18484,x18485,x18481,x18486),f894(x18483,x18484,x18485,x18482,x18486))
% 178.51/178.27 [1849]~E(x18491,x18492)+E(f894(x18493,x18494,x18495,x18496,x18491),f894(x18493,x18494,x18495,x18496,x18492))
% 178.51/178.27 [1850]~E(x18501,x18502)+E(f572(x18501,x18503),f572(x18502,x18503))
% 178.51/178.27 [1851]~E(x18511,x18512)+E(f572(x18513,x18511),f572(x18513,x18512))
% 178.51/178.27 [1852]~E(x18521,x18522)+E(f391(x18521,x18523,x18524),f391(x18522,x18523,x18524))
% 178.51/178.27 [1853]~E(x18531,x18532)+E(f391(x18533,x18531,x18534),f391(x18533,x18532,x18534))
% 178.51/178.27 [1854]~E(x18541,x18542)+E(f391(x18543,x18544,x18541),f391(x18543,x18544,x18542))
% 178.51/178.27 [1855]~E(x18551,x18552)+E(f570(x18551,x18553,x18554,x18555),f570(x18552,x18553,x18554,x18555))
% 178.51/178.27 [1856]~E(x18561,x18562)+E(f570(x18563,x18561,x18564,x18565),f570(x18563,x18562,x18564,x18565))
% 178.51/178.27 [1857]~E(x18571,x18572)+E(f570(x18573,x18574,x18571,x18575),f570(x18573,x18574,x18572,x18575))
% 178.51/178.27 [1858]~E(x18581,x18582)+E(f570(x18583,x18584,x18585,x18581),f570(x18583,x18584,x18585,x18582))
% 178.51/178.27 [1859]~E(x18591,x18592)+E(f843(x18591,x18593,x18594,x18595,x18596,x18597,x18598,x18599),f843(x18592,x18593,x18594,x18595,x18596,x18597,x18598,x18599))
% 178.51/178.27 [1860]~E(x18601,x18602)+E(f843(x18603,x18601,x18604,x18605,x18606,x18607,x18608,x18609),f843(x18603,x18602,x18604,x18605,x18606,x18607,x18608,x18609))
% 178.51/178.27 [1861]~E(x18611,x18612)+E(f843(x18613,x18614,x18611,x18615,x18616,x18617,x18618,x18619),f843(x18613,x18614,x18612,x18615,x18616,x18617,x18618,x18619))
% 178.51/178.27 [1862]~E(x18621,x18622)+E(f843(x18623,x18624,x18625,x18621,x18626,x18627,x18628,x18629),f843(x18623,x18624,x18625,x18622,x18626,x18627,x18628,x18629))
% 178.51/178.27 [1863]~E(x18631,x18632)+E(f843(x18633,x18634,x18635,x18636,x18631,x18637,x18638,x18639),f843(x18633,x18634,x18635,x18636,x18632,x18637,x18638,x18639))
% 178.51/178.27 [1864]~E(x18641,x18642)+E(f843(x18643,x18644,x18645,x18646,x18647,x18641,x18648,x18649),f843(x18643,x18644,x18645,x18646,x18647,x18642,x18648,x18649))
% 178.51/178.27 [1865]~E(x18651,x18652)+E(f843(x18653,x18654,x18655,x18656,x18657,x18658,x18651,x18659),f843(x18653,x18654,x18655,x18656,x18657,x18658,x18652,x18659))
% 178.51/178.27 [1866]~E(x18661,x18662)+E(f843(x18663,x18664,x18665,x18666,x18667,x18668,x18669,x18661),f843(x18663,x18664,x18665,x18666,x18667,x18668,x18669,x18662))
% 178.51/178.27 [1867]~E(x18671,x18672)+E(f352(x18671,x18673,x18674),f352(x18672,x18673,x18674))
% 178.51/178.27 [1868]~E(x18681,x18682)+E(f352(x18683,x18681,x18684),f352(x18683,x18682,x18684))
% 178.51/178.27 [1869]~E(x18691,x18692)+E(f352(x18693,x18694,x18691),f352(x18693,x18694,x18692))
% 178.51/178.27 [1870]~E(x18701,x18702)+E(f118(x18701,x18703,x18704),f118(x18702,x18703,x18704))
% 178.51/178.27 [1871]~E(x18711,x18712)+E(f118(x18713,x18711,x18714),f118(x18713,x18712,x18714))
% 178.51/178.27 [1872]~E(x18721,x18722)+E(f118(x18723,x18724,x18721),f118(x18723,x18724,x18722))
% 178.51/178.27 [1873]~E(x18731,x18732)+E(f210(x18731,x18733,x18734,x18735),f210(x18732,x18733,x18734,x18735))
% 178.51/178.27 [1874]~E(x18741,x18742)+E(f210(x18743,x18741,x18744,x18745),f210(x18743,x18742,x18744,x18745))
% 178.51/178.27 [1875]~E(x18751,x18752)+E(f210(x18753,x18754,x18751,x18755),f210(x18753,x18754,x18752,x18755))
% 178.51/178.27 [1876]~E(x18761,x18762)+E(f210(x18763,x18764,x18765,x18761),f210(x18763,x18764,x18765,x18762))
% 178.51/178.27 [1877]~E(x18771,x18772)+E(f259(x18771,x18773,x18774,x18775,x18776),f259(x18772,x18773,x18774,x18775,x18776))
% 178.51/178.27 [1878]~E(x18781,x18782)+E(f259(x18783,x18781,x18784,x18785,x18786),f259(x18783,x18782,x18784,x18785,x18786))
% 178.51/178.27 [1879]~E(x18791,x18792)+E(f259(x18793,x18794,x18791,x18795,x18796),f259(x18793,x18794,x18792,x18795,x18796))
% 178.51/178.27 [1880]~E(x18801,x18802)+E(f259(x18803,x18804,x18805,x18801,x18806),f259(x18803,x18804,x18805,x18802,x18806))
% 178.51/178.27 [1881]~E(x18811,x18812)+E(f259(x18813,x18814,x18815,x18816,x18811),f259(x18813,x18814,x18815,x18816,x18812))
% 178.51/178.27 [1882]~E(x18821,x18822)+E(f707(x18821,x18823),f707(x18822,x18823))
% 178.51/178.27 [1883]~E(x18831,x18832)+E(f707(x18833,x18831),f707(x18833,x18832))
% 178.51/178.27 [1884]~E(x18841,x18842)+E(f190(x18841,x18843,x18844,x18845),f190(x18842,x18843,x18844,x18845))
% 178.51/178.27 [1885]~E(x18851,x18852)+E(f190(x18853,x18851,x18854,x18855),f190(x18853,x18852,x18854,x18855))
% 178.51/178.27 [1886]~E(x18861,x18862)+E(f190(x18863,x18864,x18861,x18865),f190(x18863,x18864,x18862,x18865))
% 178.51/178.27 [1887]~E(x18871,x18872)+E(f190(x18873,x18874,x18875,x18871),f190(x18873,x18874,x18875,x18872))
% 178.51/178.27 [1888]~E(x18881,x18882)+E(f494(x18881,x18883,x18884),f494(x18882,x18883,x18884))
% 178.51/178.27 [1889]~E(x18891,x18892)+E(f494(x18893,x18891,x18894),f494(x18893,x18892,x18894))
% 178.51/178.27 [1890]~E(x18901,x18902)+E(f494(x18903,x18904,x18901),f494(x18903,x18904,x18902))
% 178.51/178.27 [1891]~E(x18911,x18912)+E(f606(x18911,x18913,x18914,x18915),f606(x18912,x18913,x18914,x18915))
% 178.51/178.27 [1892]~E(x18921,x18922)+E(f606(x18923,x18921,x18924,x18925),f606(x18923,x18922,x18924,x18925))
% 178.51/178.27 [1893]~E(x18931,x18932)+E(f606(x18933,x18934,x18931,x18935),f606(x18933,x18934,x18932,x18935))
% 178.51/178.27 [1894]~E(x18941,x18942)+E(f606(x18943,x18944,x18945,x18941),f606(x18943,x18944,x18945,x18942))
% 178.51/178.27 [1895]~E(x18951,x18952)+E(f404(x18951,x18953,x18954),f404(x18952,x18953,x18954))
% 178.51/178.27 [1896]~E(x18961,x18962)+E(f404(x18963,x18961,x18964),f404(x18963,x18962,x18964))
% 178.51/178.27 [1897]~E(x18971,x18972)+E(f404(x18973,x18974,x18971),f404(x18973,x18974,x18972))
% 178.51/178.27 [1898]~E(x18981,x18982)+E(f681(x18981,x18983,x18984,x18985,x18986),f681(x18982,x18983,x18984,x18985,x18986))
% 178.51/178.27 [1899]~E(x18991,x18992)+E(f681(x18993,x18991,x18994,x18995,x18996),f681(x18993,x18992,x18994,x18995,x18996))
% 178.51/178.27 [1900]~E(x19001,x19002)+E(f681(x19003,x19004,x19001,x19005,x19006),f681(x19003,x19004,x19002,x19005,x19006))
% 178.51/178.27 [1901]~E(x19011,x19012)+E(f681(x19013,x19014,x19015,x19011,x19016),f681(x19013,x19014,x19015,x19012,x19016))
% 178.51/178.27 [1902]~E(x19021,x19022)+E(f681(x19023,x19024,x19025,x19026,x19021),f681(x19023,x19024,x19025,x19026,x19022))
% 178.51/178.27 [1903]~E(x19031,x19032)+E(f297(x19031,x19033,x19034),f297(x19032,x19033,x19034))
% 178.51/178.27 [1904]~E(x19041,x19042)+E(f297(x19043,x19041,x19044),f297(x19043,x19042,x19044))
% 178.51/178.27 [1905]~E(x19051,x19052)+E(f297(x19053,x19054,x19051),f297(x19053,x19054,x19052))
% 178.51/178.27 [1906]~E(x19061,x19062)+E(f655(x19061,x19063,x19064,x19065,x19066),f655(x19062,x19063,x19064,x19065,x19066))
% 178.51/178.27 [1907]~E(x19071,x19072)+E(f655(x19073,x19071,x19074,x19075,x19076),f655(x19073,x19072,x19074,x19075,x19076))
% 178.51/178.27 [1908]~E(x19081,x19082)+E(f655(x19083,x19084,x19081,x19085,x19086),f655(x19083,x19084,x19082,x19085,x19086))
% 178.51/178.27 [1909]~E(x19091,x19092)+E(f655(x19093,x19094,x19095,x19091,x19096),f655(x19093,x19094,x19095,x19092,x19096))
% 178.51/178.27 [1910]~E(x19101,x19102)+E(f655(x19103,x19104,x19105,x19106,x19101),f655(x19103,x19104,x19105,x19106,x19102))
% 178.51/178.27 [1911]~E(x19111,x19112)+E(f626(x19111,x19113,x19114,x19115,x19116),f626(x19112,x19113,x19114,x19115,x19116))
% 178.51/178.27 [1912]~E(x19121,x19122)+E(f626(x19123,x19121,x19124,x19125,x19126),f626(x19123,x19122,x19124,x19125,x19126))
% 178.51/178.27 [1913]~E(x19131,x19132)+E(f626(x19133,x19134,x19131,x19135,x19136),f626(x19133,x19134,x19132,x19135,x19136))
% 178.51/178.27 [1914]~E(x19141,x19142)+E(f626(x19143,x19144,x19145,x19141,x19146),f626(x19143,x19144,x19145,x19142,x19146))
% 178.51/178.27 [1915]~E(x19151,x19152)+E(f626(x19153,x19154,x19155,x19156,x19151),f626(x19153,x19154,x19155,x19156,x19152))
% 178.51/178.27 [1916]~E(x19161,x19162)+E(f292(x19161,x19163,x19164),f292(x19162,x19163,x19164))
% 178.51/178.27 [1917]~E(x19171,x19172)+E(f292(x19173,x19171,x19174),f292(x19173,x19172,x19174))
% 178.51/178.27 [1918]~E(x19181,x19182)+E(f292(x19183,x19184,x19181),f292(x19183,x19184,x19182))
% 178.51/178.27 [1919]~E(x19191,x19192)+E(f184(x19191,x19193,x19194),f184(x19192,x19193,x19194))
% 178.51/178.27 [1920]~E(x19201,x19202)+E(f184(x19203,x19201,x19204),f184(x19203,x19202,x19204))
% 178.51/178.27 [1921]~E(x19211,x19212)+E(f184(x19213,x19214,x19211),f184(x19213,x19214,x19212))
% 178.51/178.27 [1922]~E(x19221,x19222)+E(f296(x19221,x19223,x19224,x19225,x19226),f296(x19222,x19223,x19224,x19225,x19226))
% 178.51/178.27 [1923]~E(x19231,x19232)+E(f296(x19233,x19231,x19234,x19235,x19236),f296(x19233,x19232,x19234,x19235,x19236))
% 178.51/178.27 [1924]~E(x19241,x19242)+E(f296(x19243,x19244,x19241,x19245,x19246),f296(x19243,x19244,x19242,x19245,x19246))
% 178.51/178.27 [1925]~E(x19251,x19252)+E(f296(x19253,x19254,x19255,x19251,x19256),f296(x19253,x19254,x19255,x19252,x19256))
% 178.51/178.27 [1926]~E(x19261,x19262)+E(f296(x19263,x19264,x19265,x19266,x19261),f296(x19263,x19264,x19265,x19266,x19262))
% 178.51/178.27 [1927]~E(x19271,x19272)+E(f554(x19271,x19273,x19274,x19275,x19276,x19277),f554(x19272,x19273,x19274,x19275,x19276,x19277))
% 178.51/178.27 [1928]~E(x19281,x19282)+E(f554(x19283,x19281,x19284,x19285,x19286,x19287),f554(x19283,x19282,x19284,x19285,x19286,x19287))
% 178.51/178.27 [1929]~E(x19291,x19292)+E(f554(x19293,x19294,x19291,x19295,x19296,x19297),f554(x19293,x19294,x19292,x19295,x19296,x19297))
% 178.51/178.27 [1930]~E(x19301,x19302)+E(f554(x19303,x19304,x19305,x19301,x19306,x19307),f554(x19303,x19304,x19305,x19302,x19306,x19307))
% 178.51/178.27 [1931]~E(x19311,x19312)+E(f554(x19313,x19314,x19315,x19316,x19311,x19317),f554(x19313,x19314,x19315,x19316,x19312,x19317))
% 178.51/178.27 [1932]~E(x19321,x19322)+E(f554(x19323,x19324,x19325,x19326,x19327,x19321),f554(x19323,x19324,x19325,x19326,x19327,x19322))
% 178.51/178.27 [1933]~E(x19331,x19332)+E(f663(x19331,x19333),f663(x19332,x19333))
% 178.51/178.27 [1934]~E(x19341,x19342)+E(f663(x19343,x19341),f663(x19343,x19342))
% 178.51/178.27 [1935]~E(x19351,x19352)+E(f461(x19351,x19353,x19354,x19355,x19356,x19357,x19358),f461(x19352,x19353,x19354,x19355,x19356,x19357,x19358))
% 178.51/178.27 [1936]~E(x19361,x19362)+E(f461(x19363,x19361,x19364,x19365,x19366,x19367,x19368),f461(x19363,x19362,x19364,x19365,x19366,x19367,x19368))
% 178.51/178.27 [1937]~E(x19371,x19372)+E(f461(x19373,x19374,x19371,x19375,x19376,x19377,x19378),f461(x19373,x19374,x19372,x19375,x19376,x19377,x19378))
% 178.51/178.27 [1938]~E(x19381,x19382)+E(f461(x19383,x19384,x19385,x19381,x19386,x19387,x19388),f461(x19383,x19384,x19385,x19382,x19386,x19387,x19388))
% 178.51/178.27 [1939]~E(x19391,x19392)+E(f461(x19393,x19394,x19395,x19396,x19391,x19397,x19398),f461(x19393,x19394,x19395,x19396,x19392,x19397,x19398))
% 178.51/178.27 [1940]~E(x19401,x19402)+E(f461(x19403,x19404,x19405,x19406,x19407,x19401,x19408),f461(x19403,x19404,x19405,x19406,x19407,x19402,x19408))
% 178.51/178.27 [1941]~E(x19411,x19412)+E(f461(x19413,x19414,x19415,x19416,x19417,x19418,x19411),f461(x19413,x19414,x19415,x19416,x19417,x19418,x19412))
% 178.51/178.27 [1942]~E(x19421,x19422)+E(f795(x19421,x19423,x19424,x19425),f795(x19422,x19423,x19424,x19425))
% 178.51/178.27 [1943]~E(x19431,x19432)+E(f795(x19433,x19431,x19434,x19435),f795(x19433,x19432,x19434,x19435))
% 178.51/178.27 [1944]~E(x19441,x19442)+E(f795(x19443,x19444,x19441,x19445),f795(x19443,x19444,x19442,x19445))
% 178.51/178.27 [1945]~E(x19451,x19452)+E(f795(x19453,x19454,x19455,x19451),f795(x19453,x19454,x19455,x19452))
% 178.51/178.27 [1946]~E(x19461,x19462)+E(f265(x19461,x19463),f265(x19462,x19463))
% 178.51/178.27 [1947]~E(x19471,x19472)+E(f265(x19473,x19471),f265(x19473,x19472))
% 178.51/178.27 [1948]~E(x19481,x19482)+E(f812(x19481,x19483,x19484,x19485,x19486,x19487),f812(x19482,x19483,x19484,x19485,x19486,x19487))
% 178.51/178.27 [1949]~E(x19491,x19492)+E(f812(x19493,x19491,x19494,x19495,x19496,x19497),f812(x19493,x19492,x19494,x19495,x19496,x19497))
% 178.51/178.27 [1950]~E(x19501,x19502)+E(f812(x19503,x19504,x19501,x19505,x19506,x19507),f812(x19503,x19504,x19502,x19505,x19506,x19507))
% 178.51/178.27 [1951]~E(x19511,x19512)+E(f812(x19513,x19514,x19515,x19511,x19516,x19517),f812(x19513,x19514,x19515,x19512,x19516,x19517))
% 178.51/178.27 [1952]~E(x19521,x19522)+E(f812(x19523,x19524,x19525,x19526,x19521,x19527),f812(x19523,x19524,x19525,x19526,x19522,x19527))
% 178.51/178.27 [1953]~E(x19531,x19532)+E(f812(x19533,x19534,x19535,x19536,x19537,x19531),f812(x19533,x19534,x19535,x19536,x19537,x19532))
% 178.51/178.27 [1954]~E(x19541,x19542)+E(f201(x19541),f201(x19542))
% 178.51/178.27 [1955]~E(x19551,x19552)+E(f701(x19551,x19553,x19554,x19555,x19556,x19557,x19558),f701(x19552,x19553,x19554,x19555,x19556,x19557,x19558))
% 178.51/178.27 [1956]~E(x19561,x19562)+E(f701(x19563,x19561,x19564,x19565,x19566,x19567,x19568),f701(x19563,x19562,x19564,x19565,x19566,x19567,x19568))
% 178.51/178.27 [1957]~E(x19571,x19572)+E(f701(x19573,x19574,x19571,x19575,x19576,x19577,x19578),f701(x19573,x19574,x19572,x19575,x19576,x19577,x19578))
% 178.51/178.27 [1958]~E(x19581,x19582)+E(f701(x19583,x19584,x19585,x19581,x19586,x19587,x19588),f701(x19583,x19584,x19585,x19582,x19586,x19587,x19588))
% 178.51/178.27 [1959]~E(x19591,x19592)+E(f701(x19593,x19594,x19595,x19596,x19591,x19597,x19598),f701(x19593,x19594,x19595,x19596,x19592,x19597,x19598))
% 178.51/178.27 [1960]~E(x19601,x19602)+E(f701(x19603,x19604,x19605,x19606,x19607,x19601,x19608),f701(x19603,x19604,x19605,x19606,x19607,x19602,x19608))
% 178.51/178.27 [1961]~E(x19611,x19612)+E(f701(x19613,x19614,x19615,x19616,x19617,x19618,x19611),f701(x19613,x19614,x19615,x19616,x19617,x19618,x19612))
% 178.51/178.27 [1962]~E(x19621,x19622)+E(f490(x19621,x19623,x19624),f490(x19622,x19623,x19624))
% 178.51/178.27 [1963]~E(x19631,x19632)+E(f490(x19633,x19631,x19634),f490(x19633,x19632,x19634))
% 178.51/178.27 [1964]~E(x19641,x19642)+E(f490(x19643,x19644,x19641),f490(x19643,x19644,x19642))
% 178.51/178.27 [1965]~E(x19651,x19652)+E(f215(x19651,x19653),f215(x19652,x19653))
% 178.51/178.27 [1966]~E(x19661,x19662)+E(f215(x19663,x19661),f215(x19663,x19662))
% 178.51/178.27 [1967]~E(x19671,x19672)+E(f202(x19671,x19673),f202(x19672,x19673))
% 178.51/178.27 [1968]~E(x19681,x19682)+E(f202(x19683,x19681),f202(x19683,x19682))
% 178.51/178.27 [1969]~E(x19691,x19692)+E(f874(x19691,x19693,x19694),f874(x19692,x19693,x19694))
% 178.51/178.27 [1970]~E(x19701,x19702)+E(f874(x19703,x19701,x19704),f874(x19703,x19702,x19704))
% 178.51/178.27 [1971]~E(x19711,x19712)+E(f874(x19713,x19714,x19711),f874(x19713,x19714,x19712))
% 178.51/178.27 [1972]~E(x19721,x19722)+E(f531(x19721,x19723,x19724,x19725,x19726),f531(x19722,x19723,x19724,x19725,x19726))
% 178.51/178.27 [1973]~E(x19731,x19732)+E(f531(x19733,x19731,x19734,x19735,x19736),f531(x19733,x19732,x19734,x19735,x19736))
% 178.51/178.27 [1974]~E(x19741,x19742)+E(f531(x19743,x19744,x19741,x19745,x19746),f531(x19743,x19744,x19742,x19745,x19746))
% 178.51/178.27 [1975]~E(x19751,x19752)+E(f531(x19753,x19754,x19755,x19751,x19756),f531(x19753,x19754,x19755,x19752,x19756))
% 178.51/178.27 [1976]~E(x19761,x19762)+E(f531(x19763,x19764,x19765,x19766,x19761),f531(x19763,x19764,x19765,x19766,x19762))
% 178.51/178.27 [1977]~E(x19771,x19772)+E(f68(x19771,x19773,x19774),f68(x19772,x19773,x19774))
% 178.51/178.27 [1978]~E(x19781,x19782)+E(f68(x19783,x19781,x19784),f68(x19783,x19782,x19784))
% 178.51/178.27 [1979]~E(x19791,x19792)+E(f68(x19793,x19794,x19791),f68(x19793,x19794,x19792))
% 178.51/178.27 [1980]~E(x19801,x19802)+E(f818(x19801,x19803),f818(x19802,x19803))
% 178.51/178.27 [1981]~E(x19811,x19812)+E(f818(x19813,x19811),f818(x19813,x19812))
% 178.51/178.27 [1982]~E(x19821,x19822)+E(f678(x19821,x19823),f678(x19822,x19823))
% 178.51/178.27 [1983]~E(x19831,x19832)+E(f678(x19833,x19831),f678(x19833,x19832))
% 178.51/178.27 [1984]~E(x19841,x19842)+E(f896(x19841,x19843,x19844),f896(x19842,x19843,x19844))
% 178.51/178.27 [1985]~E(x19851,x19852)+E(f896(x19853,x19851,x19854),f896(x19853,x19852,x19854))
% 178.51/178.27 [1986]~E(x19861,x19862)+E(f896(x19863,x19864,x19861),f896(x19863,x19864,x19862))
% 178.51/178.27 [1987]~E(x19871,x19872)+E(f384(x19871,x19873,x19874),f384(x19872,x19873,x19874))
% 178.51/178.27 [1988]~E(x19881,x19882)+E(f384(x19883,x19881,x19884),f384(x19883,x19882,x19884))
% 178.51/178.27 [1989]~E(x19891,x19892)+E(f384(x19893,x19894,x19891),f384(x19893,x19894,x19892))
% 178.51/178.27 [1990]~E(x19901,x19902)+E(f758(x19901,x19903,x19904),f758(x19902,x19903,x19904))
% 178.51/178.27 [1991]~E(x19911,x19912)+E(f758(x19913,x19911,x19914),f758(x19913,x19912,x19914))
% 178.51/178.27 [1992]~E(x19921,x19922)+E(f758(x19923,x19924,x19921),f758(x19923,x19924,x19922))
% 178.51/178.27 [1993]~E(x19931,x19932)+E(f764(x19931,x19933,x19934),f764(x19932,x19933,x19934))
% 178.51/178.27 [1994]~E(x19941,x19942)+E(f764(x19943,x19941,x19944),f764(x19943,x19942,x19944))
% 178.51/178.27 [1995]~E(x19951,x19952)+E(f764(x19953,x19954,x19951),f764(x19953,x19954,x19952))
% 178.51/178.27 [1996]~E(x19961,x19962)+E(f371(x19961,x19963),f371(x19962,x19963))
% 178.51/178.27 [1997]~E(x19971,x19972)+E(f371(x19973,x19971),f371(x19973,x19972))
% 178.51/178.27 [1998]~E(x19981,x19982)+E(f580(x19981),f580(x19982))
% 178.51/178.27 [1999]~E(x19991,x19992)+E(f683(x19991,x19993,x19994,x19995,x19996),f683(x19992,x19993,x19994,x19995,x19996))
% 178.51/178.27 [2000]~E(x20001,x20002)+E(f683(x20003,x20001,x20004,x20005,x20006),f683(x20003,x20002,x20004,x20005,x20006))
% 178.51/178.27 [2001]~E(x20011,x20012)+E(f683(x20013,x20014,x20011,x20015,x20016),f683(x20013,x20014,x20012,x20015,x20016))
% 178.51/178.27 [2002]~E(x20021,x20022)+E(f683(x20023,x20024,x20025,x20021,x20026),f683(x20023,x20024,x20025,x20022,x20026))
% 178.51/178.27 [2003]~E(x20031,x20032)+E(f683(x20033,x20034,x20035,x20036,x20031),f683(x20033,x20034,x20035,x20036,x20032))
% 178.51/178.27 [2004]~E(x20041,x20042)+E(f907(x20041,x20043,x20044),f907(x20042,x20043,x20044))
% 178.51/178.27 [2005]~E(x20051,x20052)+E(f907(x20053,x20051,x20054),f907(x20053,x20052,x20054))
% 178.51/178.27 [2006]~E(x20061,x20062)+E(f907(x20063,x20064,x20061),f907(x20063,x20064,x20062))
% 178.51/178.27 [2007]~E(x20071,x20072)+E(f689(x20071,x20073,x20074,x20075,x20076,x20077,x20078),f689(x20072,x20073,x20074,x20075,x20076,x20077,x20078))
% 178.51/178.27 [2008]~E(x20081,x20082)+E(f689(x20083,x20081,x20084,x20085,x20086,x20087,x20088),f689(x20083,x20082,x20084,x20085,x20086,x20087,x20088))
% 178.51/178.27 [2009]~E(x20091,x20092)+E(f689(x20093,x20094,x20091,x20095,x20096,x20097,x20098),f689(x20093,x20094,x20092,x20095,x20096,x20097,x20098))
% 178.51/178.27 [2010]~E(x20101,x20102)+E(f689(x20103,x20104,x20105,x20101,x20106,x20107,x20108),f689(x20103,x20104,x20105,x20102,x20106,x20107,x20108))
% 178.51/178.27 [2011]~E(x20111,x20112)+E(f689(x20113,x20114,x20115,x20116,x20111,x20117,x20118),f689(x20113,x20114,x20115,x20116,x20112,x20117,x20118))
% 178.51/178.27 [2012]~E(x20121,x20122)+E(f689(x20123,x20124,x20125,x20126,x20127,x20121,x20128),f689(x20123,x20124,x20125,x20126,x20127,x20122,x20128))
% 178.51/178.27 [2013]~E(x20131,x20132)+E(f689(x20133,x20134,x20135,x20136,x20137,x20138,x20131),f689(x20133,x20134,x20135,x20136,x20137,x20138,x20132))
% 178.51/178.27 [2014]~E(x20141,x20142)+E(f604(x20141,x20143,x20144,x20145,x20146,x20147),f604(x20142,x20143,x20144,x20145,x20146,x20147))
% 178.51/178.27 [2015]~E(x20151,x20152)+E(f604(x20153,x20151,x20154,x20155,x20156,x20157),f604(x20153,x20152,x20154,x20155,x20156,x20157))
% 178.51/178.27 [2016]~E(x20161,x20162)+E(f604(x20163,x20164,x20161,x20165,x20166,x20167),f604(x20163,x20164,x20162,x20165,x20166,x20167))
% 178.51/178.27 [2017]~E(x20171,x20172)+E(f604(x20173,x20174,x20175,x20171,x20176,x20177),f604(x20173,x20174,x20175,x20172,x20176,x20177))
% 178.51/178.27 [2018]~E(x20181,x20182)+E(f604(x20183,x20184,x20185,x20186,x20181,x20187),f604(x20183,x20184,x20185,x20186,x20182,x20187))
% 178.51/178.27 [2019]~E(x20191,x20192)+E(f604(x20193,x20194,x20195,x20196,x20197,x20191),f604(x20193,x20194,x20195,x20196,x20197,x20192))
% 178.51/178.27 [2020]~E(x20201,x20202)+E(f21(x20201,x20203,x20204,x20205),f21(x20202,x20203,x20204,x20205))
% 178.51/178.27 [2021]~E(x20211,x20212)+E(f21(x20213,x20211,x20214,x20215),f21(x20213,x20212,x20214,x20215))
% 178.51/178.27 [2022]~E(x20221,x20222)+E(f21(x20223,x20224,x20221,x20225),f21(x20223,x20224,x20222,x20225))
% 178.51/178.27 [2023]~E(x20231,x20232)+E(f21(x20233,x20234,x20235,x20231),f21(x20233,x20234,x20235,x20232))
% 178.51/178.27 [2024]~E(x20241,x20242)+E(f41(x20241),f41(x20242))
% 178.51/178.27 [2025]~E(x20251,x20252)+E(f726(x20251,x20253),f726(x20252,x20253))
% 178.51/178.27 [2026]~E(x20261,x20262)+E(f726(x20263,x20261),f726(x20263,x20262))
% 178.51/178.27 [2027]~E(x20271,x20272)+E(f477(x20271,x20273),f477(x20272,x20273))
% 178.51/178.27 [2028]~E(x20281,x20282)+E(f477(x20283,x20281),f477(x20283,x20282))
% 178.51/178.27 [2029]~E(x20291,x20292)+E(f299(x20291,x20293,x20294,x20295,x20296),f299(x20292,x20293,x20294,x20295,x20296))
% 178.51/178.27 [2030]~E(x20301,x20302)+E(f299(x20303,x20301,x20304,x20305,x20306),f299(x20303,x20302,x20304,x20305,x20306))
% 178.51/178.27 [2031]~E(x20311,x20312)+E(f299(x20313,x20314,x20311,x20315,x20316),f299(x20313,x20314,x20312,x20315,x20316))
% 178.51/178.27 [2032]~E(x20321,x20322)+E(f299(x20323,x20324,x20325,x20321,x20326),f299(x20323,x20324,x20325,x20322,x20326))
% 178.51/178.27 [2033]~E(x20331,x20332)+E(f299(x20333,x20334,x20335,x20336,x20331),f299(x20333,x20334,x20335,x20336,x20332))
% 178.51/178.27 [2034]~E(x20341,x20342)+E(f392(x20341,x20343,x20344,x20345),f392(x20342,x20343,x20344,x20345))
% 178.51/178.27 [2035]~E(x20351,x20352)+E(f392(x20353,x20351,x20354,x20355),f392(x20353,x20352,x20354,x20355))
% 178.51/178.27 [2036]~E(x20361,x20362)+E(f392(x20363,x20364,x20361,x20365),f392(x20363,x20364,x20362,x20365))
% 178.51/178.27 [2037]~E(x20371,x20372)+E(f392(x20373,x20374,x20375,x20371),f392(x20373,x20374,x20375,x20372))
% 178.51/178.27 [2038]~E(x20381,x20382)+E(f354(x20381,x20383,x20384),f354(x20382,x20383,x20384))
% 178.51/178.27 [2039]~E(x20391,x20392)+E(f354(x20393,x20391,x20394),f354(x20393,x20392,x20394))
% 178.51/178.27 [2040]~E(x20401,x20402)+E(f354(x20403,x20404,x20401),f354(x20403,x20404,x20402))
% 178.51/178.27 [2041]~E(x20411,x20412)+E(f603(x20411,x20413,x20414,x20415,x20416),f603(x20412,x20413,x20414,x20415,x20416))
% 178.51/178.27 [2042]~E(x20421,x20422)+E(f603(x20423,x20421,x20424,x20425,x20426),f603(x20423,x20422,x20424,x20425,x20426))
% 178.51/178.27 [2043]~E(x20431,x20432)+E(f603(x20433,x20434,x20431,x20435,x20436),f603(x20433,x20434,x20432,x20435,x20436))
% 178.51/178.27 [2044]~E(x20441,x20442)+E(f603(x20443,x20444,x20445,x20441,x20446),f603(x20443,x20444,x20445,x20442,x20446))
% 178.51/178.27 [2045]~E(x20451,x20452)+E(f603(x20453,x20454,x20455,x20456,x20451),f603(x20453,x20454,x20455,x20456,x20452))
% 178.51/178.27 [2046]~E(x20461,x20462)+E(f793(x20461,x20463),f793(x20462,x20463))
% 178.51/178.27 [2047]~E(x20471,x20472)+E(f793(x20473,x20471),f793(x20473,x20472))
% 178.51/178.27 [2048]~E(x20481,x20482)+E(f162(x20481,x20483),f162(x20482,x20483))
% 178.51/178.27 [2049]~E(x20491,x20492)+E(f162(x20493,x20491),f162(x20493,x20492))
% 178.51/178.27 [2050]~E(x20501,x20502)+E(f372(x20501,x20503),f372(x20502,x20503))
% 178.51/178.27 [2051]~E(x20511,x20512)+E(f372(x20513,x20511),f372(x20513,x20512))
% 178.51/178.27 [2052]~E(x20521,x20522)+E(f486(x20521,x20523,x20524,x20525),f486(x20522,x20523,x20524,x20525))
% 178.51/178.27 [2053]~E(x20531,x20532)+E(f486(x20533,x20531,x20534,x20535),f486(x20533,x20532,x20534,x20535))
% 178.51/178.27 [2054]~E(x20541,x20542)+E(f486(x20543,x20544,x20541,x20545),f486(x20543,x20544,x20542,x20545))
% 178.51/178.27 [2055]~E(x20551,x20552)+E(f486(x20553,x20554,x20555,x20551),f486(x20553,x20554,x20555,x20552))
% 178.51/178.27 [2056]~E(x20561,x20562)+E(f515(x20561,x20563,x20564,x20565,x20566,x20567,x20568),f515(x20562,x20563,x20564,x20565,x20566,x20567,x20568))
% 178.51/178.27 [2057]~E(x20571,x20572)+E(f515(x20573,x20571,x20574,x20575,x20576,x20577,x20578),f515(x20573,x20572,x20574,x20575,x20576,x20577,x20578))
% 178.51/178.27 [2058]~E(x20581,x20582)+E(f515(x20583,x20584,x20581,x20585,x20586,x20587,x20588),f515(x20583,x20584,x20582,x20585,x20586,x20587,x20588))
% 178.51/178.27 [2059]~E(x20591,x20592)+E(f515(x20593,x20594,x20595,x20591,x20596,x20597,x20598),f515(x20593,x20594,x20595,x20592,x20596,x20597,x20598))
% 178.51/178.27 [2060]~E(x20601,x20602)+E(f515(x20603,x20604,x20605,x20606,x20601,x20607,x20608),f515(x20603,x20604,x20605,x20606,x20602,x20607,x20608))
% 178.51/178.27 [2061]~E(x20611,x20612)+E(f515(x20613,x20614,x20615,x20616,x20617,x20611,x20618),f515(x20613,x20614,x20615,x20616,x20617,x20612,x20618))
% 178.51/178.27 [2062]~E(x20621,x20622)+E(f515(x20623,x20624,x20625,x20626,x20627,x20628,x20621),f515(x20623,x20624,x20625,x20626,x20627,x20628,x20622))
% 178.51/178.27 [2063]~E(x20631,x20632)+E(f762(x20631,x20633,x20634),f762(x20632,x20633,x20634))
% 178.51/178.27 [2064]~E(x20641,x20642)+E(f762(x20643,x20641,x20644),f762(x20643,x20642,x20644))
% 178.51/178.27 [2065]~E(x20651,x20652)+E(f762(x20653,x20654,x20651),f762(x20653,x20654,x20652))
% 178.51/178.27 [2066]~E(x20661,x20662)+E(f688(x20661,x20663,x20664,x20665,x20666),f688(x20662,x20663,x20664,x20665,x20666))
% 178.51/178.27 [2067]~E(x20671,x20672)+E(f688(x20673,x20671,x20674,x20675,x20676),f688(x20673,x20672,x20674,x20675,x20676))
% 178.51/178.27 [2068]~E(x20681,x20682)+E(f688(x20683,x20684,x20681,x20685,x20686),f688(x20683,x20684,x20682,x20685,x20686))
% 178.51/178.27 [2069]~E(x20691,x20692)+E(f688(x20693,x20694,x20695,x20691,x20696),f688(x20693,x20694,x20695,x20692,x20696))
% 178.51/178.27 [2070]~E(x20701,x20702)+E(f688(x20703,x20704,x20705,x20706,x20701),f688(x20703,x20704,x20705,x20706,x20702))
% 178.51/178.27 [2071]~E(x20711,x20712)+E(f278(x20711,x20713,x20714,x20715),f278(x20712,x20713,x20714,x20715))
% 178.51/178.27 [2072]~E(x20721,x20722)+E(f278(x20723,x20721,x20724,x20725),f278(x20723,x20722,x20724,x20725))
% 178.51/178.27 [2073]~E(x20731,x20732)+E(f278(x20733,x20734,x20731,x20735),f278(x20733,x20734,x20732,x20735))
% 178.51/178.27 [2074]~E(x20741,x20742)+E(f278(x20743,x20744,x20745,x20741),f278(x20743,x20744,x20745,x20742))
% 178.51/178.27 [2075]~E(x20751,x20752)+E(f685(x20751,x20753,x20754,x20755),f685(x20752,x20753,x20754,x20755))
% 178.51/178.27 [2076]~E(x20761,x20762)+E(f685(x20763,x20761,x20764,x20765),f685(x20763,x20762,x20764,x20765))
% 178.51/178.27 [2077]~E(x20771,x20772)+E(f685(x20773,x20774,x20771,x20775),f685(x20773,x20774,x20772,x20775))
% 178.51/178.27 [2078]~E(x20781,x20782)+E(f685(x20783,x20784,x20785,x20781),f685(x20783,x20784,x20785,x20782))
% 178.51/178.27 [2079]~E(x20791,x20792)+E(f786(x20791,x20793,x20794,x20795,x20796,x20797,x20798),f786(x20792,x20793,x20794,x20795,x20796,x20797,x20798))
% 178.51/178.27 [2080]~E(x20801,x20802)+E(f786(x20803,x20801,x20804,x20805,x20806,x20807,x20808),f786(x20803,x20802,x20804,x20805,x20806,x20807,x20808))
% 178.51/178.27 [2081]~E(x20811,x20812)+E(f786(x20813,x20814,x20811,x20815,x20816,x20817,x20818),f786(x20813,x20814,x20812,x20815,x20816,x20817,x20818))
% 178.51/178.27 [2082]~E(x20821,x20822)+E(f786(x20823,x20824,x20825,x20821,x20826,x20827,x20828),f786(x20823,x20824,x20825,x20822,x20826,x20827,x20828))
% 178.51/178.27 [2083]~E(x20831,x20832)+E(f786(x20833,x20834,x20835,x20836,x20831,x20837,x20838),f786(x20833,x20834,x20835,x20836,x20832,x20837,x20838))
% 178.51/178.27 [2084]~E(x20841,x20842)+E(f786(x20843,x20844,x20845,x20846,x20847,x20841,x20848),f786(x20843,x20844,x20845,x20846,x20847,x20842,x20848))
% 178.51/178.27 [2085]~E(x20851,x20852)+E(f786(x20853,x20854,x20855,x20856,x20857,x20858,x20851),f786(x20853,x20854,x20855,x20856,x20857,x20858,x20852))
% 178.51/178.27 [2086]~E(x20861,x20862)+E(f577(x20861,x20863,x20864,x20865,x20866),f577(x20862,x20863,x20864,x20865,x20866))
% 178.51/178.27 [2087]~E(x20871,x20872)+E(f577(x20873,x20871,x20874,x20875,x20876),f577(x20873,x20872,x20874,x20875,x20876))
% 178.51/178.27 [2088]~E(x20881,x20882)+E(f577(x20883,x20884,x20881,x20885,x20886),f577(x20883,x20884,x20882,x20885,x20886))
% 178.51/178.27 [2089]~E(x20891,x20892)+E(f577(x20893,x20894,x20895,x20891,x20896),f577(x20893,x20894,x20895,x20892,x20896))
% 178.51/178.27 [2090]~E(x20901,x20902)+E(f577(x20903,x20904,x20905,x20906,x20901),f577(x20903,x20904,x20905,x20906,x20902))
% 178.51/178.27 [2091]~E(x20911,x20912)+E(f657(x20911,x20913,x20914,x20915),f657(x20912,x20913,x20914,x20915))
% 178.51/178.27 [2092]~E(x20921,x20922)+E(f657(x20923,x20921,x20924,x20925),f657(x20923,x20922,x20924,x20925))
% 178.51/178.27 [2093]~E(x20931,x20932)+E(f657(x20933,x20934,x20931,x20935),f657(x20933,x20934,x20932,x20935))
% 178.51/178.27 [2094]~E(x20941,x20942)+E(f657(x20943,x20944,x20945,x20941),f657(x20943,x20944,x20945,x20942))
% 178.51/178.27 [2095]~E(x20951,x20952)+E(f395(x20951,x20953,x20954),f395(x20952,x20953,x20954))
% 178.51/178.27 [2096]~E(x20961,x20962)+E(f395(x20963,x20961,x20964),f395(x20963,x20962,x20964))
% 178.51/178.27 [2097]~E(x20971,x20972)+E(f395(x20973,x20974,x20971),f395(x20973,x20974,x20972))
% 178.51/178.27 [2098]~E(x20981,x20982)+E(f820(x20981,x20983),f820(x20982,x20983))
% 178.51/178.27 [2099]~E(x20991,x20992)+E(f820(x20993,x20991),f820(x20993,x20992))
% 178.51/178.27 [2100]~E(x21001,x21002)+E(f845(x21001,x21003,x21004,x21005,x21006,x21007,x21008,x21009),f845(x21002,x21003,x21004,x21005,x21006,x21007,x21008,x21009))
% 178.51/178.27 [2101]~E(x21011,x21012)+E(f845(x21013,x21011,x21014,x21015,x21016,x21017,x21018,x21019),f845(x21013,x21012,x21014,x21015,x21016,x21017,x21018,x21019))
% 178.51/178.27 [2102]~E(x21021,x21022)+E(f845(x21023,x21024,x21021,x21025,x21026,x21027,x21028,x21029),f845(x21023,x21024,x21022,x21025,x21026,x21027,x21028,x21029))
% 178.51/178.27 [2103]~E(x21031,x21032)+E(f845(x21033,x21034,x21035,x21031,x21036,x21037,x21038,x21039),f845(x21033,x21034,x21035,x21032,x21036,x21037,x21038,x21039))
% 178.51/178.27 [2104]~E(x21041,x21042)+E(f845(x21043,x21044,x21045,x21046,x21041,x21047,x21048,x21049),f845(x21043,x21044,x21045,x21046,x21042,x21047,x21048,x21049))
% 178.51/178.27 [2105]~E(x21051,x21052)+E(f845(x21053,x21054,x21055,x21056,x21057,x21051,x21058,x21059),f845(x21053,x21054,x21055,x21056,x21057,x21052,x21058,x21059))
% 178.51/178.27 [2106]~E(x21061,x21062)+E(f845(x21063,x21064,x21065,x21066,x21067,x21068,x21061,x21069),f845(x21063,x21064,x21065,x21066,x21067,x21068,x21062,x21069))
% 178.51/178.27 [2107]~E(x21071,x21072)+E(f845(x21073,x21074,x21075,x21076,x21077,x21078,x21079,x21071),f845(x21073,x21074,x21075,x21076,x21077,x21078,x21079,x21072))
% 178.51/178.27 [2108]~E(x21081,x21082)+E(f545(x21081,x21083,x21084,x21085),f545(x21082,x21083,x21084,x21085))
% 178.51/178.27 [2109]~E(x21091,x21092)+E(f545(x21093,x21091,x21094,x21095),f545(x21093,x21092,x21094,x21095))
% 178.51/178.27 [2110]~E(x21101,x21102)+E(f545(x21103,x21104,x21101,x21105),f545(x21103,x21104,x21102,x21105))
% 178.51/178.27 [2111]~E(x21111,x21112)+E(f545(x21113,x21114,x21115,x21111),f545(x21113,x21114,x21115,x21112))
% 178.51/178.27 [2112]~E(x21121,x21122)+E(f565(x21121,x21123,x21124,x21125,x21126),f565(x21122,x21123,x21124,x21125,x21126))
% 178.51/178.27 [2113]~E(x21131,x21132)+E(f565(x21133,x21131,x21134,x21135,x21136),f565(x21133,x21132,x21134,x21135,x21136))
% 178.51/178.27 [2114]~E(x21141,x21142)+E(f565(x21143,x21144,x21141,x21145,x21146),f565(x21143,x21144,x21142,x21145,x21146))
% 178.51/178.27 [2115]~E(x21151,x21152)+E(f565(x21153,x21154,x21155,x21151,x21156),f565(x21153,x21154,x21155,x21152,x21156))
% 178.51/178.27 [2116]~E(x21161,x21162)+E(f565(x21163,x21164,x21165,x21166,x21161),f565(x21163,x21164,x21165,x21166,x21162))
% 178.51/178.27 [2117]~E(x21171,x21172)+E(f903(x21171,x21173,x21174),f903(x21172,x21173,x21174))
% 178.51/178.27 [2118]~E(x21181,x21182)+E(f903(x21183,x21181,x21184),f903(x21183,x21182,x21184))
% 178.51/178.27 [2119]~E(x21191,x21192)+E(f903(x21193,x21194,x21191),f903(x21193,x21194,x21192))
% 178.51/178.27 [2120]~E(x21201,x21202)+E(f502(x21201,x21203,x21204,x21205,x21206),f502(x21202,x21203,x21204,x21205,x21206))
% 178.51/178.27 [2121]~E(x21211,x21212)+E(f502(x21213,x21211,x21214,x21215,x21216),f502(x21213,x21212,x21214,x21215,x21216))
% 178.51/178.27 [2122]~E(x21221,x21222)+E(f502(x21223,x21224,x21221,x21225,x21226),f502(x21223,x21224,x21222,x21225,x21226))
% 178.51/178.27 [2123]~E(x21231,x21232)+E(f502(x21233,x21234,x21235,x21231,x21236),f502(x21233,x21234,x21235,x21232,x21236))
% 178.51/178.27 [2124]~E(x21241,x21242)+E(f502(x21243,x21244,x21245,x21246,x21241),f502(x21243,x21244,x21245,x21246,x21242))
% 178.51/178.27 [2125]~E(x21251,x21252)+E(f617(x21251,x21253,x21254),f617(x21252,x21253,x21254))
% 178.51/178.27 [2126]~E(x21261,x21262)+E(f617(x21263,x21261,x21264),f617(x21263,x21262,x21264))
% 178.51/178.27 [2127]~E(x21271,x21272)+E(f617(x21273,x21274,x21271),f617(x21273,x21274,x21272))
% 178.51/178.27 [2128]~E(x21281,x21282)+E(f692(x21281,x21283,x21284),f692(x21282,x21283,x21284))
% 178.51/178.27 [2129]~E(x21291,x21292)+E(f692(x21293,x21291,x21294),f692(x21293,x21292,x21294))
% 178.51/178.27 [2130]~E(x21301,x21302)+E(f692(x21303,x21304,x21301),f692(x21303,x21304,x21302))
% 178.51/178.27 [2131]~E(x21311,x21312)+E(f279(x21311,x21313,x21314,x21315),f279(x21312,x21313,x21314,x21315))
% 178.51/178.27 [2132]~E(x21321,x21322)+E(f279(x21323,x21321,x21324,x21325),f279(x21323,x21322,x21324,x21325))
% 178.51/178.27 [2133]~E(x21331,x21332)+E(f279(x21333,x21334,x21331,x21335),f279(x21333,x21334,x21332,x21335))
% 178.51/178.27 [2134]~E(x21341,x21342)+E(f279(x21343,x21344,x21345,x21341),f279(x21343,x21344,x21345,x21342))
% 178.51/178.27 [2135]~E(x21351,x21352)+E(f362(x21351,x21353,x21354),f362(x21352,x21353,x21354))
% 178.51/178.27 [2136]~E(x21361,x21362)+E(f362(x21363,x21361,x21364),f362(x21363,x21362,x21364))
% 178.51/178.27 [2137]~E(x21371,x21372)+E(f362(x21373,x21374,x21371),f362(x21373,x21374,x21372))
% 178.51/178.27 [2138]~E(x21381,x21382)+E(f750(x21381,x21383,x21384),f750(x21382,x21383,x21384))
% 178.51/178.27 [2139]~E(x21391,x21392)+E(f750(x21393,x21391,x21394),f750(x21393,x21392,x21394))
% 178.51/178.27 [2140]~E(x21401,x21402)+E(f750(x21403,x21404,x21401),f750(x21403,x21404,x21402))
% 178.51/178.27 [2141]~E(x21411,x21412)+E(f806(x21411,x21413),f806(x21412,x21413))
% 178.51/178.27 [2142]~E(x21421,x21422)+E(f806(x21423,x21421),f806(x21423,x21422))
% 178.51/178.27 [2143]~E(x21431,x21432)+E(f405(x21431,x21433,x21434),f405(x21432,x21433,x21434))
% 178.51/178.27 [2144]~E(x21441,x21442)+E(f405(x21443,x21441,x21444),f405(x21443,x21442,x21444))
% 178.51/178.27 [2145]~E(x21451,x21452)+E(f405(x21453,x21454,x21451),f405(x21453,x21454,x21452))
% 178.51/178.27 [2146]~E(x21461,x21462)+E(f797(x21461,x21463,x21464,x21465,x21466),f797(x21462,x21463,x21464,x21465,x21466))
% 178.51/178.27 [2147]~E(x21471,x21472)+E(f797(x21473,x21471,x21474,x21475,x21476),f797(x21473,x21472,x21474,x21475,x21476))
% 178.51/178.27 [2148]~E(x21481,x21482)+E(f797(x21483,x21484,x21481,x21485,x21486),f797(x21483,x21484,x21482,x21485,x21486))
% 178.51/178.27 [2149]~E(x21491,x21492)+E(f797(x21493,x21494,x21495,x21491,x21496),f797(x21493,x21494,x21495,x21492,x21496))
% 178.51/178.27 [2150]~E(x21501,x21502)+E(f797(x21503,x21504,x21505,x21506,x21501),f797(x21503,x21504,x21505,x21506,x21502))
% 178.51/178.27 [2151]~E(x21511,x21512)+E(f704(x21511,x21513,x21514),f704(x21512,x21513,x21514))
% 178.51/178.27 [2152]~E(x21521,x21522)+E(f704(x21523,x21521,x21524),f704(x21523,x21522,x21524))
% 178.51/178.27 [2153]~E(x21531,x21532)+E(f704(x21533,x21534,x21531),f704(x21533,x21534,x21532))
% 178.51/178.27 [2154]~E(x21541,x21542)+E(f661(x21541,x21543,x21544),f661(x21542,x21543,x21544))
% 178.51/178.27 [2155]~E(x21551,x21552)+E(f661(x21553,x21551,x21554),f661(x21553,x21552,x21554))
% 178.51/178.27 [2156]~E(x21561,x21562)+E(f661(x21563,x21564,x21561),f661(x21563,x21564,x21562))
% 178.51/178.27 [2157]~E(x21571,x21572)+E(f669(x21571,x21573,x21574,x21575),f669(x21572,x21573,x21574,x21575))
% 178.51/178.27 [2158]~E(x21581,x21582)+E(f669(x21583,x21581,x21584,x21585),f669(x21583,x21582,x21584,x21585))
% 178.51/178.27 [2159]~E(x21591,x21592)+E(f669(x21593,x21594,x21591,x21595),f669(x21593,x21594,x21592,x21595))
% 178.51/178.27 [2160]~E(x21601,x21602)+E(f669(x21603,x21604,x21605,x21601),f669(x21603,x21604,x21605,x21602))
% 178.51/178.27 [2161]~E(x21611,x21612)+E(f824(x21611,x21613),f824(x21612,x21613))
% 178.51/178.27 [2162]~E(x21621,x21622)+E(f824(x21623,x21621),f824(x21623,x21622))
% 178.51/178.27 [2163]~E(x21631,x21632)+E(f449(x21631,x21633,x21634,x21635),f449(x21632,x21633,x21634,x21635))
% 178.51/178.27 [2164]~E(x21641,x21642)+E(f449(x21643,x21641,x21644,x21645),f449(x21643,x21642,x21644,x21645))
% 178.51/178.27 [2165]~E(x21651,x21652)+E(f449(x21653,x21654,x21651,x21655),f449(x21653,x21654,x21652,x21655))
% 178.51/178.27 [2166]~E(x21661,x21662)+E(f449(x21663,x21664,x21665,x21661),f449(x21663,x21664,x21665,x21662))
% 178.51/178.27 [2167]~E(x21671,x21672)+E(f619(x21671,x21673,x21674),f619(x21672,x21673,x21674))
% 178.51/178.27 [2168]~E(x21681,x21682)+E(f619(x21683,x21681,x21684),f619(x21683,x21682,x21684))
% 178.51/178.27 [2169]~E(x21691,x21692)+E(f619(x21693,x21694,x21691),f619(x21693,x21694,x21692))
% 178.51/178.27 [2170]~E(x21701,x21702)+E(f394(x21701,x21703,x21704),f394(x21702,x21703,x21704))
% 178.51/178.27 [2171]~E(x21711,x21712)+E(f394(x21713,x21711,x21714),f394(x21713,x21712,x21714))
% 178.51/178.27 [2172]~E(x21721,x21722)+E(f394(x21723,x21724,x21721),f394(x21723,x21724,x21722))
% 178.51/178.27 [2173]~E(x21731,x21732)+E(f755(x21731,x21733,x21734),f755(x21732,x21733,x21734))
% 178.51/178.27 [2174]~E(x21741,x21742)+E(f755(x21743,x21741,x21744),f755(x21743,x21742,x21744))
% 178.51/178.27 [2175]~E(x21751,x21752)+E(f755(x21753,x21754,x21751),f755(x21753,x21754,x21752))
% 178.51/178.27 [2176]~E(x21761,x21762)+E(f597(x21761,x21763,x21764),f597(x21762,x21763,x21764))
% 178.51/178.27 [2177]~E(x21771,x21772)+E(f597(x21773,x21771,x21774),f597(x21773,x21772,x21774))
% 178.51/178.27 [2178]~E(x21781,x21782)+E(f597(x21783,x21784,x21781),f597(x21783,x21784,x21782))
% 178.51/178.27 [2179]~E(x21791,x21792)+E(f453(x21791,x21793,x21794,x21795),f453(x21792,x21793,x21794,x21795))
% 178.51/178.27 [2180]~E(x21801,x21802)+E(f453(x21803,x21801,x21804,x21805),f453(x21803,x21802,x21804,x21805))
% 178.51/178.27 [2181]~E(x21811,x21812)+E(f453(x21813,x21814,x21811,x21815),f453(x21813,x21814,x21812,x21815))
% 178.51/178.27 [2182]~E(x21821,x21822)+E(f453(x21823,x21824,x21825,x21821),f453(x21823,x21824,x21825,x21822))
% 178.51/178.27 [2183]~E(x21831,x21832)+E(f828(x21831,x21833,x21834,x21835,x21836),f828(x21832,x21833,x21834,x21835,x21836))
% 178.51/178.27 [2184]~E(x21841,x21842)+E(f828(x21843,x21841,x21844,x21845,x21846),f828(x21843,x21842,x21844,x21845,x21846))
% 178.51/178.27 [2185]~E(x21851,x21852)+E(f828(x21853,x21854,x21851,x21855,x21856),f828(x21853,x21854,x21852,x21855,x21856))
% 178.51/178.27 [2186]~E(x21861,x21862)+E(f828(x21863,x21864,x21865,x21861,x21866),f828(x21863,x21864,x21865,x21862,x21866))
% 178.51/178.27 [2187]~E(x21871,x21872)+E(f828(x21873,x21874,x21875,x21876,x21871),f828(x21873,x21874,x21875,x21876,x21872))
% 178.51/178.27 [2188]~E(x21881,x21882)+E(f195(x21881,x21883,x21884,x21885),f195(x21882,x21883,x21884,x21885))
% 178.51/178.27 [2189]~E(x21891,x21892)+E(f195(x21893,x21891,x21894,x21895),f195(x21893,x21892,x21894,x21895))
% 178.51/178.27 [2190]~E(x21901,x21902)+E(f195(x21903,x21904,x21901,x21905),f195(x21903,x21904,x21902,x21905))
% 178.51/178.27 [2191]~E(x21911,x21912)+E(f195(x21913,x21914,x21915,x21911),f195(x21913,x21914,x21915,x21912))
% 178.51/178.27 [2192]~E(x21921,x21922)+E(f475(x21921,x21923),f475(x21922,x21923))
% 178.51/178.27 [2193]~E(x21931,x21932)+E(f475(x21933,x21931),f475(x21933,x21932))
% 178.51/178.27 [2194]~E(x21941,x21942)+E(f612(x21941,x21943,x21944),f612(x21942,x21943,x21944))
% 178.51/178.27 [2195]~E(x21951,x21952)+E(f612(x21953,x21951,x21954),f612(x21953,x21952,x21954))
% 178.51/178.27 [2196]~E(x21961,x21962)+E(f612(x21963,x21964,x21961),f612(x21963,x21964,x21962))
% 178.51/178.27 [2197]~E(x21971,x21972)+E(f117(x21971,x21973,x21974),f117(x21972,x21973,x21974))
% 178.51/178.27 [2198]~E(x21981,x21982)+E(f117(x21983,x21981,x21984),f117(x21983,x21982,x21984))
% 178.51/178.27 [2199]~E(x21991,x21992)+E(f117(x21993,x21994,x21991),f117(x21993,x21994,x21992))
% 178.51/178.27 [2200]~E(x22001,x22002)+E(f473(x22001,x22003),f473(x22002,x22003))
% 178.51/178.27 [2201]~E(x22011,x22012)+E(f473(x22013,x22011),f473(x22013,x22012))
% 178.51/178.27 [2202]~E(x22021,x22022)+E(f608(x22021,x22023,x22024,x22025,x22026),f608(x22022,x22023,x22024,x22025,x22026))
% 178.51/178.27 [2203]~E(x22031,x22032)+E(f608(x22033,x22031,x22034,x22035,x22036),f608(x22033,x22032,x22034,x22035,x22036))
% 178.51/178.27 [2204]~E(x22041,x22042)+E(f608(x22043,x22044,x22041,x22045,x22046),f608(x22043,x22044,x22042,x22045,x22046))
% 178.51/178.27 [2205]~E(x22051,x22052)+E(f608(x22053,x22054,x22055,x22051,x22056),f608(x22053,x22054,x22055,x22052,x22056))
% 178.51/178.27 [2206]~E(x22061,x22062)+E(f608(x22063,x22064,x22065,x22066,x22061),f608(x22063,x22064,x22065,x22066,x22062))
% 178.51/178.27 [2207]~E(x22071,x22072)+E(f450(x22071,x22073,x22074,x22075),f450(x22072,x22073,x22074,x22075))
% 178.51/178.27 [2208]~E(x22081,x22082)+E(f450(x22083,x22081,x22084,x22085),f450(x22083,x22082,x22084,x22085))
% 178.51/178.27 [2209]~E(x22091,x22092)+E(f450(x22093,x22094,x22091,x22095),f450(x22093,x22094,x22092,x22095))
% 178.51/178.27 [2210]~E(x22101,x22102)+E(f450(x22103,x22104,x22105,x22101),f450(x22103,x22104,x22105,x22102))
% 178.51/178.27 [2211]~E(x22111,x22112)+E(f889(x22111,x22113,x22114,x22115,x22116,x22117,x22118),f889(x22112,x22113,x22114,x22115,x22116,x22117,x22118))
% 178.51/178.27 [2212]~E(x22121,x22122)+E(f889(x22123,x22121,x22124,x22125,x22126,x22127,x22128),f889(x22123,x22122,x22124,x22125,x22126,x22127,x22128))
% 178.51/178.27 [2213]~E(x22131,x22132)+E(f889(x22133,x22134,x22131,x22135,x22136,x22137,x22138),f889(x22133,x22134,x22132,x22135,x22136,x22137,x22138))
% 178.51/178.27 [2214]~E(x22141,x22142)+E(f889(x22143,x22144,x22145,x22141,x22146,x22147,x22148),f889(x22143,x22144,x22145,x22142,x22146,x22147,x22148))
% 178.51/178.27 [2215]~E(x22151,x22152)+E(f889(x22153,x22154,x22155,x22156,x22151,x22157,x22158),f889(x22153,x22154,x22155,x22156,x22152,x22157,x22158))
% 178.51/178.27 [2216]~E(x22161,x22162)+E(f889(x22163,x22164,x22165,x22166,x22167,x22161,x22168),f889(x22163,x22164,x22165,x22166,x22167,x22162,x22168))
% 178.51/178.27 [2217]~E(x22171,x22172)+E(f889(x22173,x22174,x22175,x22176,x22177,x22178,x22171),f889(x22173,x22174,x22175,x22176,x22177,x22178,x22172))
% 178.51/178.27 [2218]~E(x22181,x22182)+E(f635(x22181,x22183,x22184,x22185,x22186),f635(x22182,x22183,x22184,x22185,x22186))
% 178.51/178.27 [2219]~E(x22191,x22192)+E(f635(x22193,x22191,x22194,x22195,x22196),f635(x22193,x22192,x22194,x22195,x22196))
% 178.51/178.27 [2220]~E(x22201,x22202)+E(f635(x22203,x22204,x22201,x22205,x22206),f635(x22203,x22204,x22202,x22205,x22206))
% 178.51/178.27 [2221]~E(x22211,x22212)+E(f635(x22213,x22214,x22215,x22211,x22216),f635(x22213,x22214,x22215,x22212,x22216))
% 178.51/178.27 [2222]~E(x22221,x22222)+E(f635(x22223,x22224,x22225,x22226,x22221),f635(x22223,x22224,x22225,x22226,x22222))
% 178.51/178.27 [2223]~E(x22231,x22232)+E(f349(x22231,x22233),f349(x22232,x22233))
% 178.51/178.27 [2224]~E(x22241,x22242)+E(f349(x22243,x22241),f349(x22243,x22242))
% 178.51/178.27 [2225]~E(x22251,x22252)+E(f539(x22251,x22253),f539(x22252,x22253))
% 178.51/178.27 [2226]~E(x22261,x22262)+E(f539(x22263,x22261),f539(x22263,x22262))
% 178.51/178.27 [2227]~E(x22271,x22272)+E(f275(x22271,x22273,x22274,x22275),f275(x22272,x22273,x22274,x22275))
% 178.51/178.27 [2228]~E(x22281,x22282)+E(f275(x22283,x22281,x22284,x22285),f275(x22283,x22282,x22284,x22285))
% 178.51/178.27 [2229]~E(x22291,x22292)+E(f275(x22293,x22294,x22291,x22295),f275(x22293,x22294,x22292,x22295))
% 178.51/178.27 [2230]~E(x22301,x22302)+E(f275(x22303,x22304,x22305,x22301),f275(x22303,x22304,x22305,x22302))
% 178.51/178.27 [2231]~E(x22311,x22312)+E(f581(x22311,x22313),f581(x22312,x22313))
% 178.51/178.27 [2232]~E(x22321,x22322)+E(f581(x22323,x22321),f581(x22323,x22322))
% 178.51/178.27 [2233]~E(x22331,x22332)+E(f706(x22331,x22333),f706(x22332,x22333))
% 178.51/178.27 [2234]~E(x22341,x22342)+E(f706(x22343,x22341),f706(x22343,x22342))
% 178.51/178.27 [2235]~E(x22351,x22352)+E(f419(x22351,x22353,x22354,x22355,x22356),f419(x22352,x22353,x22354,x22355,x22356))
% 178.51/178.27 [2236]~E(x22361,x22362)+E(f419(x22363,x22361,x22364,x22365,x22366),f419(x22363,x22362,x22364,x22365,x22366))
% 178.51/178.27 [2237]~E(x22371,x22372)+E(f419(x22373,x22374,x22371,x22375,x22376),f419(x22373,x22374,x22372,x22375,x22376))
% 178.51/178.27 [2238]~E(x22381,x22382)+E(f419(x22383,x22384,x22385,x22381,x22386),f419(x22383,x22384,x22385,x22382,x22386))
% 178.51/178.27 [2239]~E(x22391,x22392)+E(f419(x22393,x22394,x22395,x22396,x22391),f419(x22393,x22394,x22395,x22396,x22392))
% 178.51/178.27 [2240]~E(x22401,x22402)+E(f248(x22401,x22403,x22404),f248(x22402,x22403,x22404))
% 178.51/178.27 [2241]~E(x22411,x22412)+E(f248(x22413,x22411,x22414),f248(x22413,x22412,x22414))
% 178.51/178.27 [2242]~E(x22421,x22422)+E(f248(x22423,x22424,x22421),f248(x22423,x22424,x22422))
% 178.51/178.27 [2243]~E(x22431,x22432)+E(f95(x22431,x22433,x22434,x22435),f95(x22432,x22433,x22434,x22435))
% 178.51/178.27 [2244]~E(x22441,x22442)+E(f95(x22443,x22441,x22444,x22445),f95(x22443,x22442,x22444,x22445))
% 178.51/178.27 [2245]~E(x22451,x22452)+E(f95(x22453,x22454,x22451,x22455),f95(x22453,x22454,x22452,x22455))
% 178.51/178.27 [2246]~E(x22461,x22462)+E(f95(x22463,x22464,x22465,x22461),f95(x22463,x22464,x22465,x22462))
% 178.51/178.27 [2247]~E(x22471,x22472)+E(f414(x22471,x22473,x22474,x22475),f414(x22472,x22473,x22474,x22475))
% 178.51/178.27 [2248]~E(x22481,x22482)+E(f414(x22483,x22481,x22484,x22485),f414(x22483,x22482,x22484,x22485))
% 178.51/178.27 [2249]~E(x22491,x22492)+E(f414(x22493,x22494,x22491,x22495),f414(x22493,x22494,x22492,x22495))
% 178.51/178.27 [2250]~E(x22501,x22502)+E(f414(x22503,x22504,x22505,x22501),f414(x22503,x22504,x22505,x22502))
% 178.51/178.27 [2251]~E(x22511,x22512)+E(f432(x22511,x22513,x22514,x22515),f432(x22512,x22513,x22514,x22515))
% 178.51/178.27 [2252]~E(x22521,x22522)+E(f432(x22523,x22521,x22524,x22525),f432(x22523,x22522,x22524,x22525))
% 178.51/178.27 [2253]~E(x22531,x22532)+E(f432(x22533,x22534,x22531,x22535),f432(x22533,x22534,x22532,x22535))
% 178.51/178.27 [2254]~E(x22541,x22542)+E(f432(x22543,x22544,x22545,x22541),f432(x22543,x22544,x22545,x22542))
% 178.51/178.27 [2255]~E(x22551,x22552)+E(f728(x22551,x22553,x22554,x22555),f728(x22552,x22553,x22554,x22555))
% 178.51/178.27 [2256]~E(x22561,x22562)+E(f728(x22563,x22561,x22564,x22565),f728(x22563,x22562,x22564,x22565))
% 178.51/178.27 [2257]~E(x22571,x22572)+E(f728(x22573,x22574,x22571,x22575),f728(x22573,x22574,x22572,x22575))
% 178.51/178.27 [2258]~E(x22581,x22582)+E(f728(x22583,x22584,x22585,x22581),f728(x22583,x22584,x22585,x22582))
% 178.51/178.27 [2259]~E(x22591,x22592)+E(f753(x22591,x22593,x22594),f753(x22592,x22593,x22594))
% 178.51/178.27 [2260]~E(x22601,x22602)+E(f753(x22603,x22601,x22604),f753(x22603,x22602,x22604))
% 178.51/178.27 [2261]~E(x22611,x22612)+E(f753(x22613,x22614,x22611),f753(x22613,x22614,x22612))
% 178.51/178.27 [2262]~E(x22621,x22622)+E(f367(x22621),f367(x22622))
% 178.51/178.27 [2263]~E(x22631,x22632)+E(f682(x22631,x22633,x22634,x22635,x22636),f682(x22632,x22633,x22634,x22635,x22636))
% 178.51/178.27 [2264]~E(x22641,x22642)+E(f682(x22643,x22641,x22644,x22645,x22646),f682(x22643,x22642,x22644,x22645,x22646))
% 178.51/178.27 [2265]~E(x22651,x22652)+E(f682(x22653,x22654,x22651,x22655,x22656),f682(x22653,x22654,x22652,x22655,x22656))
% 178.51/178.27 [2266]~E(x22661,x22662)+E(f682(x22663,x22664,x22665,x22661,x22666),f682(x22663,x22664,x22665,x22662,x22666))
% 178.51/178.27 [2267]~E(x22671,x22672)+E(f682(x22673,x22674,x22675,x22676,x22671),f682(x22673,x22674,x22675,x22676,x22672))
% 178.51/178.27 [2268]~E(x22681,x22682)+E(f94(x22681,x22683,x22684,x22685),f94(x22682,x22683,x22684,x22685))
% 178.51/178.27 [2269]~E(x22691,x22692)+E(f94(x22693,x22691,x22694,x22695),f94(x22693,x22692,x22694,x22695))
% 178.51/178.27 [2270]~E(x22701,x22702)+E(f94(x22703,x22704,x22701,x22705),f94(x22703,x22704,x22702,x22705))
% 178.51/178.27 [2271]~E(x22711,x22712)+E(f94(x22713,x22714,x22715,x22711),f94(x22713,x22714,x22715,x22712))
% 178.51/178.27 [2272]~E(x22721,x22722)+E(f526(x22721,x22723,x22724),f526(x22722,x22723,x22724))
% 178.51/178.27 [2273]~E(x22731,x22732)+E(f526(x22733,x22731,x22734),f526(x22733,x22732,x22734))
% 178.51/178.27 [2274]~E(x22741,x22742)+E(f526(x22743,x22744,x22741),f526(x22743,x22744,x22742))
% 178.51/178.27 [2275]~E(x22751,x22752)+E(f549(x22751,x22753,x22754,x22755,x22756,x22757),f549(x22752,x22753,x22754,x22755,x22756,x22757))
% 178.51/178.27 [2276]~E(x22761,x22762)+E(f549(x22763,x22761,x22764,x22765,x22766,x22767),f549(x22763,x22762,x22764,x22765,x22766,x22767))
% 178.51/178.27 [2277]~E(x22771,x22772)+E(f549(x22773,x22774,x22771,x22775,x22776,x22777),f549(x22773,x22774,x22772,x22775,x22776,x22777))
% 178.51/178.27 [2278]~E(x22781,x22782)+E(f549(x22783,x22784,x22785,x22781,x22786,x22787),f549(x22783,x22784,x22785,x22782,x22786,x22787))
% 178.51/178.27 [2279]~E(x22791,x22792)+E(f549(x22793,x22794,x22795,x22796,x22791,x22797),f549(x22793,x22794,x22795,x22796,x22792,x22797))
% 178.51/178.27 [2280]~E(x22801,x22802)+E(f549(x22803,x22804,x22805,x22806,x22807,x22801),f549(x22803,x22804,x22805,x22806,x22807,x22802))
% 178.51/178.27 [2281]~E(x22811,x22812)+E(f197(x22811,x22813,x22814,x22815),f197(x22812,x22813,x22814,x22815))
% 178.51/178.27 [2282]~E(x22821,x22822)+E(f197(x22823,x22821,x22824,x22825),f197(x22823,x22822,x22824,x22825))
% 178.51/178.27 [2283]~E(x22831,x22832)+E(f197(x22833,x22834,x22831,x22835),f197(x22833,x22834,x22832,x22835))
% 178.51/178.27 [2284]~E(x22841,x22842)+E(f197(x22843,x22844,x22845,x22841),f197(x22843,x22844,x22845,x22842))
% 178.51/178.27 [2285]~E(x22851,x22852)+E(f264(x22851,x22853,x22854),f264(x22852,x22853,x22854))
% 178.51/178.27 [2286]~E(x22861,x22862)+E(f264(x22863,x22861,x22864),f264(x22863,x22862,x22864))
% 178.51/178.27 [2287]~E(x22871,x22872)+E(f264(x22873,x22874,x22871),f264(x22873,x22874,x22872))
% 178.51/178.27 [2288]~E(x22881,x22882)+E(f576(x22881,x22883,x22884,x22885),f576(x22882,x22883,x22884,x22885))
% 178.51/178.27 [2289]~E(x22891,x22892)+E(f576(x22893,x22891,x22894,x22895),f576(x22893,x22892,x22894,x22895))
% 178.51/178.27 [2290]~E(x22901,x22902)+E(f576(x22903,x22904,x22901,x22905),f576(x22903,x22904,x22902,x22905))
% 178.51/178.27 [2291]~E(x22911,x22912)+E(f576(x22913,x22914,x22915,x22911),f576(x22913,x22914,x22915,x22912))
% 178.51/178.27 [2292]~E(x22921,x22922)+E(f566(x22921,x22923,x22924),f566(x22922,x22923,x22924))
% 178.51/178.27 [2293]~E(x22931,x22932)+E(f566(x22933,x22931,x22934),f566(x22933,x22932,x22934))
% 178.51/178.27 [2294]~E(x22941,x22942)+E(f566(x22943,x22944,x22941),f566(x22943,x22944,x22942))
% 178.51/178.27 [2295]~E(x22951,x22952)+E(f517(x22951,x22953,x22954,x22955,x22956,x22957,x22958),f517(x22952,x22953,x22954,x22955,x22956,x22957,x22958))
% 178.51/178.27 [2296]~E(x22961,x22962)+E(f517(x22963,x22961,x22964,x22965,x22966,x22967,x22968),f517(x22963,x22962,x22964,x22965,x22966,x22967,x22968))
% 178.51/178.27 [2297]~E(x22971,x22972)+E(f517(x22973,x22974,x22971,x22975,x22976,x22977,x22978),f517(x22973,x22974,x22972,x22975,x22976,x22977,x22978))
% 178.51/178.27 [2298]~E(x22981,x22982)+E(f517(x22983,x22984,x22985,x22981,x22986,x22987,x22988),f517(x22983,x22984,x22985,x22982,x22986,x22987,x22988))
% 178.51/178.27 [2299]~E(x22991,x22992)+E(f517(x22993,x22994,x22995,x22996,x22991,x22997,x22998),f517(x22993,x22994,x22995,x22996,x22992,x22997,x22998))
% 178.51/178.27 [2300]~E(x23001,x23002)+E(f517(x23003,x23004,x23005,x23006,x23007,x23001,x23008),f517(x23003,x23004,x23005,x23006,x23007,x23002,x23008))
% 178.51/178.27 [2301]~E(x23011,x23012)+E(f517(x23013,x23014,x23015,x23016,x23017,x23018,x23011),f517(x23013,x23014,x23015,x23016,x23017,x23018,x23012))
% 178.51/178.27 [2302]~E(x23021,x23022)+E(f536(x23021,x23023,x23024,x23025,x23026),f536(x23022,x23023,x23024,x23025,x23026))
% 178.51/178.27 [2303]~E(x23031,x23032)+E(f536(x23033,x23031,x23034,x23035,x23036),f536(x23033,x23032,x23034,x23035,x23036))
% 178.51/178.27 [2304]~E(x23041,x23042)+E(f536(x23043,x23044,x23041,x23045,x23046),f536(x23043,x23044,x23042,x23045,x23046))
% 178.51/178.27 [2305]~E(x23051,x23052)+E(f536(x23053,x23054,x23055,x23051,x23056),f536(x23053,x23054,x23055,x23052,x23056))
% 178.51/178.27 [2306]~E(x23061,x23062)+E(f536(x23063,x23064,x23065,x23066,x23061),f536(x23063,x23064,x23065,x23066,x23062))
% 178.51/178.27 [2307]~E(x23071,x23072)+E(f628(x23071,x23073,x23074,x23075,x23076),f628(x23072,x23073,x23074,x23075,x23076))
% 178.51/178.27 [2308]~E(x23081,x23082)+E(f628(x23083,x23081,x23084,x23085,x23086),f628(x23083,x23082,x23084,x23085,x23086))
% 178.51/178.27 [2309]~E(x23091,x23092)+E(f628(x23093,x23094,x23091,x23095,x23096),f628(x23093,x23094,x23092,x23095,x23096))
% 178.51/178.27 [2310]~E(x23101,x23102)+E(f628(x23103,x23104,x23105,x23101,x23106),f628(x23103,x23104,x23105,x23102,x23106))
% 178.51/178.27 [2311]~E(x23111,x23112)+E(f628(x23113,x23114,x23115,x23116,x23111),f628(x23113,x23114,x23115,x23116,x23112))
% 178.51/178.27 [2312]~E(x23121,x23122)+E(f540(x23121,x23123),f540(x23122,x23123))
% 178.51/178.27 [2313]~E(x23131,x23132)+E(f540(x23133,x23131),f540(x23133,x23132))
% 178.51/178.27 [2314]~E(x23141,x23142)+E(f727(x23141,x23143),f727(x23142,x23143))
% 178.51/178.27 [2315]~E(x23151,x23152)+E(f727(x23153,x23151),f727(x23153,x23152))
% 178.51/178.27 [2316]~E(x23161,x23162)+E(f659(x23161,x23163,x23164),f659(x23162,x23163,x23164))
% 178.51/178.27 [2317]~E(x23171,x23172)+E(f659(x23173,x23171,x23174),f659(x23173,x23172,x23174))
% 178.51/178.27 [2318]~E(x23181,x23182)+E(f659(x23183,x23184,x23181),f659(x23183,x23184,x23182))
% 178.51/178.27 [2319]~E(x23191,x23192)+E(f644(x23191,x23193,x23194,x23195,x23196,x23197,x23198),f644(x23192,x23193,x23194,x23195,x23196,x23197,x23198))
% 178.51/178.27 [2320]~E(x23201,x23202)+E(f644(x23203,x23201,x23204,x23205,x23206,x23207,x23208),f644(x23203,x23202,x23204,x23205,x23206,x23207,x23208))
% 178.51/178.27 [2321]~E(x23211,x23212)+E(f644(x23213,x23214,x23211,x23215,x23216,x23217,x23218),f644(x23213,x23214,x23212,x23215,x23216,x23217,x23218))
% 178.51/178.27 [2322]~E(x23221,x23222)+E(f644(x23223,x23224,x23225,x23221,x23226,x23227,x23228),f644(x23223,x23224,x23225,x23222,x23226,x23227,x23228))
% 178.51/178.27 [2323]~E(x23231,x23232)+E(f644(x23233,x23234,x23235,x23236,x23231,x23237,x23238),f644(x23233,x23234,x23235,x23236,x23232,x23237,x23238))
% 178.51/178.27 [2324]~E(x23241,x23242)+E(f644(x23243,x23244,x23245,x23246,x23247,x23241,x23248),f644(x23243,x23244,x23245,x23246,x23247,x23242,x23248))
% 178.51/178.27 [2325]~E(x23251,x23252)+E(f644(x23253,x23254,x23255,x23256,x23257,x23258,x23251),f644(x23253,x23254,x23255,x23256,x23257,x23258,x23252))
% 178.51/178.27 [2326]~E(x23261,x23262)+E(f799(x23261,x23263),f799(x23262,x23263))
% 178.51/178.27 [2327]~E(x23271,x23272)+E(f799(x23273,x23271),f799(x23273,x23272))
% 178.51/178.27 [2328]~E(x23281,x23282)+E(f836(x23281,x23283,x23284,x23285,x23286),f836(x23282,x23283,x23284,x23285,x23286))
% 178.51/178.27 [2329]~E(x23291,x23292)+E(f836(x23293,x23291,x23294,x23295,x23296),f836(x23293,x23292,x23294,x23295,x23296))
% 178.51/178.27 [2330]~E(x23301,x23302)+E(f836(x23303,x23304,x23301,x23305,x23306),f836(x23303,x23304,x23302,x23305,x23306))
% 178.51/178.27 [2331]~E(x23311,x23312)+E(f836(x23313,x23314,x23315,x23311,x23316),f836(x23313,x23314,x23315,x23312,x23316))
% 178.51/178.27 [2332]~E(x23321,x23322)+E(f836(x23323,x23324,x23325,x23326,x23321),f836(x23323,x23324,x23325,x23326,x23322))
% 178.51/178.27 [2333]~E(x23331,x23332)+E(f895(x23331,x23333,x23334,x23335,x23336),f895(x23332,x23333,x23334,x23335,x23336))
% 178.51/178.27 [2334]~E(x23341,x23342)+E(f895(x23343,x23341,x23344,x23345,x23346),f895(x23343,x23342,x23344,x23345,x23346))
% 178.51/178.27 [2335]~E(x23351,x23352)+E(f895(x23353,x23354,x23351,x23355,x23356),f895(x23353,x23354,x23352,x23355,x23356))
% 178.51/178.27 [2336]~E(x23361,x23362)+E(f895(x23363,x23364,x23365,x23361,x23366),f895(x23363,x23364,x23365,x23362,x23366))
% 178.51/178.27 [2337]~E(x23371,x23372)+E(f895(x23373,x23374,x23375,x23376,x23371),f895(x23373,x23374,x23375,x23376,x23372))
% 178.51/178.27 [2338]~E(x23381,x23382)+E(f743(x23381,x23383,x23384,x23385,x23386),f743(x23382,x23383,x23384,x23385,x23386))
% 178.51/178.27 [2339]~E(x23391,x23392)+E(f743(x23393,x23391,x23394,x23395,x23396),f743(x23393,x23392,x23394,x23395,x23396))
% 178.51/178.27 [2340]~E(x23401,x23402)+E(f743(x23403,x23404,x23401,x23405,x23406),f743(x23403,x23404,x23402,x23405,x23406))
% 178.51/178.27 [2341]~E(x23411,x23412)+E(f743(x23413,x23414,x23415,x23411,x23416),f743(x23413,x23414,x23415,x23412,x23416))
% 178.51/178.27 [2342]~E(x23421,x23422)+E(f743(x23423,x23424,x23425,x23426,x23421),f743(x23423,x23424,x23425,x23426,x23422))
% 178.51/178.27 [2343]~E(x23431,x23432)+E(f410(x23431,x23433,x23434,x23435,x23436),f410(x23432,x23433,x23434,x23435,x23436))
% 178.51/178.27 [2344]~E(x23441,x23442)+E(f410(x23443,x23441,x23444,x23445,x23446),f410(x23443,x23442,x23444,x23445,x23446))
% 178.51/178.27 [2345]~E(x23451,x23452)+E(f410(x23453,x23454,x23451,x23455,x23456),f410(x23453,x23454,x23452,x23455,x23456))
% 178.51/178.27 [2346]~E(x23461,x23462)+E(f410(x23463,x23464,x23465,x23461,x23466),f410(x23463,x23464,x23465,x23462,x23466))
% 178.51/178.27 [2347]~E(x23471,x23472)+E(f410(x23473,x23474,x23475,x23476,x23471),f410(x23473,x23474,x23475,x23476,x23472))
% 178.51/178.27 [2348]~E(x23481,x23482)+E(f589(x23481,x23483,x23484,x23485,x23486,x23487),f589(x23482,x23483,x23484,x23485,x23486,x23487))
% 178.51/178.27 [2349]~E(x23491,x23492)+E(f589(x23493,x23491,x23494,x23495,x23496,x23497),f589(x23493,x23492,x23494,x23495,x23496,x23497))
% 178.51/178.27 [2350]~E(x23501,x23502)+E(f589(x23503,x23504,x23501,x23505,x23506,x23507),f589(x23503,x23504,x23502,x23505,x23506,x23507))
% 178.51/178.27 [2351]~E(x23511,x23512)+E(f589(x23513,x23514,x23515,x23511,x23516,x23517),f589(x23513,x23514,x23515,x23512,x23516,x23517))
% 178.51/178.27 [2352]~E(x23521,x23522)+E(f589(x23523,x23524,x23525,x23526,x23521,x23527),f589(x23523,x23524,x23525,x23526,x23522,x23527))
% 178.51/178.27 [2353]~E(x23531,x23532)+E(f589(x23533,x23534,x23535,x23536,x23537,x23531),f589(x23533,x23534,x23535,x23536,x23537,x23532))
% 178.51/178.27 [2354]~E(x23541,x23542)+E(f783(x23541,x23543,x23544),f783(x23542,x23543,x23544))
% 178.51/178.27 [2355]~E(x23551,x23552)+E(f783(x23553,x23551,x23554),f783(x23553,x23552,x23554))
% 178.51/178.27 [2356]~E(x23561,x23562)+E(f783(x23563,x23564,x23561),f783(x23563,x23564,x23562))
% 178.51/178.27 [2357]~E(x23571,x23572)+E(f615(x23571,x23573,x23574),f615(x23572,x23573,x23574))
% 178.51/178.27 [2358]~E(x23581,x23582)+E(f615(x23583,x23581,x23584),f615(x23583,x23582,x23584))
% 178.51/178.27 [2359]~E(x23591,x23592)+E(f615(x23593,x23594,x23591),f615(x23593,x23594,x23592))
% 178.51/178.27 [2360]~E(x23601,x23602)+E(f630(x23601,x23603,x23604,x23605),f630(x23602,x23603,x23604,x23605))
% 178.51/178.27 [2361]~E(x23611,x23612)+E(f630(x23613,x23611,x23614,x23615),f630(x23613,x23612,x23614,x23615))
% 178.51/178.27 [2362]~E(x23621,x23622)+E(f630(x23623,x23624,x23621,x23625),f630(x23623,x23624,x23622,x23625))
% 178.51/178.27 [2363]~E(x23631,x23632)+E(f630(x23633,x23634,x23635,x23631),f630(x23633,x23634,x23635,x23632))
% 178.51/178.27 [2364]~E(x23641,x23642)+E(f513(x23641,x23643,x23644,x23645),f513(x23642,x23643,x23644,x23645))
% 178.51/178.27 [2365]~E(x23651,x23652)+E(f513(x23653,x23651,x23654,x23655),f513(x23653,x23652,x23654,x23655))
% 178.51/178.27 [2366]~E(x23661,x23662)+E(f513(x23663,x23664,x23661,x23665),f513(x23663,x23664,x23662,x23665))
% 178.51/178.27 [2367]~E(x23671,x23672)+E(f513(x23673,x23674,x23675,x23671),f513(x23673,x23674,x23675,x23672))
% 178.51/178.27 [2368]~E(x23681,x23682)+E(f443(x23681,x23683,x23684,x23685),f443(x23682,x23683,x23684,x23685))
% 178.51/178.27 [2369]~E(x23691,x23692)+E(f443(x23693,x23691,x23694,x23695),f443(x23693,x23692,x23694,x23695))
% 178.51/178.27 [2370]~E(x23701,x23702)+E(f443(x23703,x23704,x23701,x23705),f443(x23703,x23704,x23702,x23705))
% 178.51/178.27 [2371]~E(x23711,x23712)+E(f443(x23713,x23714,x23715,x23711),f443(x23713,x23714,x23715,x23712))
% 178.51/178.27 [2372]~E(x23721,x23722)+E(f398(x23721,x23723,x23724),f398(x23722,x23723,x23724))
% 178.51/178.27 [2373]~E(x23731,x23732)+E(f398(x23733,x23731,x23734),f398(x23733,x23732,x23734))
% 178.51/178.27 [2374]~E(x23741,x23742)+E(f398(x23743,x23744,x23741),f398(x23743,x23744,x23742))
% 178.51/178.27 [2375]~E(x23751,x23752)+E(f379(x23751,x23753,x23754),f379(x23752,x23753,x23754))
% 178.51/178.27 [2376]~E(x23761,x23762)+E(f379(x23763,x23761,x23764),f379(x23763,x23762,x23764))
% 178.51/178.27 [2377]~E(x23771,x23772)+E(f379(x23773,x23774,x23771),f379(x23773,x23774,x23772))
% 178.51/178.27 [2378]~E(x23781,x23782)+E(f700(x23781,x23783,x23784,x23785,x23786),f700(x23782,x23783,x23784,x23785,x23786))
% 178.51/178.27 [2379]~E(x23791,x23792)+E(f700(x23793,x23791,x23794,x23795,x23796),f700(x23793,x23792,x23794,x23795,x23796))
% 178.51/178.27 [2380]~E(x23801,x23802)+E(f700(x23803,x23804,x23801,x23805,x23806),f700(x23803,x23804,x23802,x23805,x23806))
% 178.51/178.27 [2381]~E(x23811,x23812)+E(f700(x23813,x23814,x23815,x23811,x23816),f700(x23813,x23814,x23815,x23812,x23816))
% 178.51/178.27 [2382]~E(x23821,x23822)+E(f700(x23823,x23824,x23825,x23826,x23821),f700(x23823,x23824,x23825,x23826,x23822))
% 178.51/178.27 [2383]~E(x23831,x23832)+E(f564(x23831,x23833),f564(x23832,x23833))
% 178.51/178.27 [2384]~E(x23841,x23842)+E(f564(x23843,x23841),f564(x23843,x23842))
% 178.51/178.27 [2385]~E(x23851,x23852)+E(f586(x23851,x23853,x23854),f586(x23852,x23853,x23854))
% 178.51/178.27 [2386]~E(x23861,x23862)+E(f586(x23863,x23861,x23864),f586(x23863,x23862,x23864))
% 178.51/178.27 [2387]~E(x23871,x23872)+E(f586(x23873,x23874,x23871),f586(x23873,x23874,x23872))
% 178.51/178.27 [2388]~E(x23881,x23882)+E(f600(x23881,x23883,x23884),f600(x23882,x23883,x23884))
% 178.51/178.27 [2389]~E(x23891,x23892)+E(f600(x23893,x23891,x23894),f600(x23893,x23892,x23894))
% 178.51/178.27 [2390]~E(x23901,x23902)+E(f600(x23903,x23904,x23901),f600(x23903,x23904,x23902))
% 178.51/178.27 [2391]~E(x23911,x23912)+E(f208(x23911),f208(x23912))
% 178.51/178.27 [2392]~E(x23921,x23922)+E(f544(x23921,x23923,x23924,x23925),f544(x23922,x23923,x23924,x23925))
% 178.51/178.27 [2393]~E(x23931,x23932)+E(f544(x23933,x23931,x23934,x23935),f544(x23933,x23932,x23934,x23935))
% 178.51/178.27 [2394]~E(x23941,x23942)+E(f544(x23943,x23944,x23941,x23945),f544(x23943,x23944,x23942,x23945))
% 178.51/178.27 [2395]~E(x23951,x23952)+E(f544(x23953,x23954,x23955,x23951),f544(x23953,x23954,x23955,x23952))
% 178.51/178.27 [2396]~E(x23961,x23962)+E(f400(x23961,x23963,x23964),f400(x23962,x23963,x23964))
% 178.51/178.27 [2397]~E(x23971,x23972)+E(f400(x23973,x23971,x23974),f400(x23973,x23972,x23974))
% 178.51/178.27 [2398]~E(x23981,x23982)+E(f400(x23983,x23984,x23981),f400(x23983,x23984,x23982))
% 178.51/178.27 [2399]~E(x23991,x23992)+E(f899(x23991,x23993,x23994),f899(x23992,x23993,x23994))
% 178.51/178.27 [2400]~E(x24001,x24002)+E(f899(x24003,x24001,x24004),f899(x24003,x24002,x24004))
% 178.51/178.27 [2401]~E(x24011,x24012)+E(f899(x24013,x24014,x24011),f899(x24013,x24014,x24012))
% 178.51/178.27 [2402]~E(x24021,x24022)+E(f272(x24021,x24023,x24024,x24025),f272(x24022,x24023,x24024,x24025))
% 178.51/178.27 [2403]~E(x24031,x24032)+E(f272(x24033,x24031,x24034,x24035),f272(x24033,x24032,x24034,x24035))
% 178.51/178.27 [2404]~E(x24041,x24042)+E(f272(x24043,x24044,x24041,x24045),f272(x24043,x24044,x24042,x24045))
% 178.51/178.27 [2405]~E(x24051,x24052)+E(f272(x24053,x24054,x24055,x24051),f272(x24053,x24054,x24055,x24052))
% 178.51/178.27 [2406]~E(x24061,x24062)+E(f646(x24061,x24063),f646(x24062,x24063))
% 178.51/178.27 [2407]~E(x24071,x24072)+E(f646(x24073,x24071),f646(x24073,x24072))
% 178.51/178.27 [2408]~E(x24081,x24082)+E(f433(x24081,x24083),f433(x24082,x24083))
% 178.51/178.27 [2409]~E(x24091,x24092)+E(f433(x24093,x24091),f433(x24093,x24092))
% 178.51/178.27 [2410]~E(x24101,x24102)+E(f496(x24101,x24103,x24104),f496(x24102,x24103,x24104))
% 178.51/178.27 [2411]~E(x24111,x24112)+E(f496(x24113,x24111,x24114),f496(x24113,x24112,x24114))
% 178.51/178.27 [2412]~E(x24121,x24122)+E(f496(x24123,x24124,x24121),f496(x24123,x24124,x24122))
% 178.51/178.27 [2413]~E(x24131,x24132)+E(f749(x24131,x24133),f749(x24132,x24133))
% 178.51/178.27 [2414]~E(x24141,x24142)+E(f749(x24143,x24141),f749(x24143,x24142))
% 178.51/178.27 [2415]~E(x24151,x24152)+E(f757(x24151,x24153,x24154),f757(x24152,x24153,x24154))
% 178.51/178.27 [2416]~E(x24161,x24162)+E(f757(x24163,x24161,x24164),f757(x24163,x24162,x24164))
% 178.51/178.27 [2417]~E(x24171,x24172)+E(f757(x24173,x24174,x24171),f757(x24173,x24174,x24172))
% 178.51/178.27 [2418]~E(x24181,x24182)+E(f748(x24181,x24183,x24184,x24185,x24186,x24187,x24188),f748(x24182,x24183,x24184,x24185,x24186,x24187,x24188))
% 178.51/178.27 [2419]~E(x24191,x24192)+E(f748(x24193,x24191,x24194,x24195,x24196,x24197,x24198),f748(x24193,x24192,x24194,x24195,x24196,x24197,x24198))
% 178.51/178.27 [2420]~E(x24201,x24202)+E(f748(x24203,x24204,x24201,x24205,x24206,x24207,x24208),f748(x24203,x24204,x24202,x24205,x24206,x24207,x24208))
% 178.51/178.27 [2421]~E(x24211,x24212)+E(f748(x24213,x24214,x24215,x24211,x24216,x24217,x24218),f748(x24213,x24214,x24215,x24212,x24216,x24217,x24218))
% 178.51/178.27 [2422]~E(x24221,x24222)+E(f748(x24223,x24224,x24225,x24226,x24221,x24227,x24228),f748(x24223,x24224,x24225,x24226,x24222,x24227,x24228))
% 178.51/178.27 [2423]~E(x24231,x24232)+E(f748(x24233,x24234,x24235,x24236,x24237,x24231,x24238),f748(x24233,x24234,x24235,x24236,x24237,x24232,x24238))
% 178.51/178.27 [2424]~E(x24241,x24242)+E(f748(x24243,x24244,x24245,x24246,x24247,x24248,x24241),f748(x24243,x24244,x24245,x24246,x24247,x24248,x24242))
% 178.51/178.27 [2425]~E(x24251,x24252)+E(f584(x24251,x24253,x24254,x24255),f584(x24252,x24253,x24254,x24255))
% 178.51/178.27 [2426]~E(x24261,x24262)+E(f584(x24263,x24261,x24264,x24265),f584(x24263,x24262,x24264,x24265))
% 178.51/178.27 [2427]~E(x24271,x24272)+E(f584(x24273,x24274,x24271,x24275),f584(x24273,x24274,x24272,x24275))
% 178.51/178.27 [2428]~E(x24281,x24282)+E(f584(x24283,x24284,x24285,x24281),f584(x24283,x24284,x24285,x24282))
% 178.51/178.27 [2429]~E(x24291,x24292)+E(f831(x24291,x24293,x24294,x24295),f831(x24292,x24293,x24294,x24295))
% 178.51/178.27 [2430]~E(x24301,x24302)+E(f831(x24303,x24301,x24304,x24305),f831(x24303,x24302,x24304,x24305))
% 178.51/178.27 [2431]~E(x24311,x24312)+E(f831(x24313,x24314,x24311,x24315),f831(x24313,x24314,x24312,x24315))
% 178.51/178.27 [2432]~E(x24321,x24322)+E(f831(x24323,x24324,x24325,x24321),f831(x24323,x24324,x24325,x24322))
% 178.51/178.27 [2433]~E(x24331,x24332)+E(f344(x24331,x24333),f344(x24332,x24333))
% 178.51/178.27 [2434]~E(x24341,x24342)+E(f344(x24343,x24341),f344(x24343,x24342))
% 178.51/178.27 [2435]~E(x24351,x24352)+E(f224(x24351,x24353,x24354,x24355,x24356),f224(x24352,x24353,x24354,x24355,x24356))
% 178.51/178.27 [2436]~E(x24361,x24362)+E(f224(x24363,x24361,x24364,x24365,x24366),f224(x24363,x24362,x24364,x24365,x24366))
% 178.51/178.27 [2437]~E(x24371,x24372)+E(f224(x24373,x24374,x24371,x24375,x24376),f224(x24373,x24374,x24372,x24375,x24376))
% 178.51/178.27 [2438]~E(x24381,x24382)+E(f224(x24383,x24384,x24385,x24381,x24386),f224(x24383,x24384,x24385,x24382,x24386))
% 178.51/178.27 [2439]~E(x24391,x24392)+E(f224(x24393,x24394,x24395,x24396,x24391),f224(x24393,x24394,x24395,x24396,x24392))
% 178.51/178.27 [2440]~E(x24401,x24402)+E(f353(x24401,x24403,x24404),f353(x24402,x24403,x24404))
% 178.51/178.27 [2441]~E(x24411,x24412)+E(f353(x24413,x24411,x24414),f353(x24413,x24412,x24414))
% 178.51/178.27 [2442]~E(x24421,x24422)+E(f353(x24423,x24424,x24421),f353(x24423,x24424,x24422))
% 178.51/178.27 [2443]~E(x24431,x24432)+E(f623(x24431,x24433,x24434),f623(x24432,x24433,x24434))
% 178.51/178.27 [2444]~E(x24441,x24442)+E(f623(x24443,x24441,x24444),f623(x24443,x24442,x24444))
% 178.51/178.27 [2445]~E(x24451,x24452)+E(f623(x24453,x24454,x24451),f623(x24453,x24454,x24452))
% 178.51/178.27 [2446]~E(x24461,x24462)+E(f146(x24461,x24463),f146(x24462,x24463))
% 178.51/178.27 [2447]~E(x24471,x24472)+E(f146(x24473,x24471),f146(x24473,x24472))
% 178.51/178.27 [2448]~E(x24481,x24482)+E(f732(x24481,x24483),f732(x24482,x24483))
% 178.51/178.27 [2449]~E(x24491,x24492)+E(f732(x24493,x24491),f732(x24493,x24492))
% 178.51/178.27 [2450]~E(x24501,x24502)+E(f891(x24501,x24503),f891(x24502,x24503))
% 178.51/178.27 [2451]~E(x24511,x24512)+E(f891(x24513,x24511),f891(x24513,x24512))
% 178.51/178.27 [2452]~E(x24521,x24522)+E(f839(x24521,x24523,x24524,x24525,x24526,x24527),f839(x24522,x24523,x24524,x24525,x24526,x24527))
% 178.51/178.27 [2453]~E(x24531,x24532)+E(f839(x24533,x24531,x24534,x24535,x24536,x24537),f839(x24533,x24532,x24534,x24535,x24536,x24537))
% 178.51/178.27 [2454]~E(x24541,x24542)+E(f839(x24543,x24544,x24541,x24545,x24546,x24547),f839(x24543,x24544,x24542,x24545,x24546,x24547))
% 178.51/178.27 [2455]~E(x24551,x24552)+E(f839(x24553,x24554,x24555,x24551,x24556,x24557),f839(x24553,x24554,x24555,x24552,x24556,x24557))
% 178.51/178.27 [2456]~E(x24561,x24562)+E(f839(x24563,x24564,x24565,x24566,x24561,x24567),f839(x24563,x24564,x24565,x24566,x24562,x24567))
% 178.51/178.27 [2457]~E(x24571,x24572)+E(f839(x24573,x24574,x24575,x24576,x24577,x24571),f839(x24573,x24574,x24575,x24576,x24577,x24572))
% 178.51/178.27 [2458]~E(x24581,x24582)+E(f819(x24581,x24583),f819(x24582,x24583))
% 178.51/178.27 [2459]~E(x24591,x24592)+E(f819(x24593,x24591),f819(x24593,x24592))
% 178.51/178.27 [2460]~E(x24601,x24602)+E(f823(x24601,x24603),f823(x24602,x24603))
% 178.51/178.27 [2461]~E(x24611,x24612)+E(f823(x24613,x24611),f823(x24613,x24612))
% 178.51/178.27 [2462]~E(x24621,x24622)+E(f801(x24621,x24623),f801(x24622,x24623))
% 178.51/178.27 [2463]~E(x24631,x24632)+E(f801(x24633,x24631),f801(x24633,x24632))
% 178.51/178.27 [2464]~E(x24641,x24642)+E(f231(x24641,x24643,x24644,x24645),f231(x24642,x24643,x24644,x24645))
% 178.51/178.27 [2465]~E(x24651,x24652)+E(f231(x24653,x24651,x24654,x24655),f231(x24653,x24652,x24654,x24655))
% 178.51/178.27 [2466]~E(x24661,x24662)+E(f231(x24663,x24664,x24661,x24665),f231(x24663,x24664,x24662,x24665))
% 178.51/178.27 [2467]~E(x24671,x24672)+E(f231(x24673,x24674,x24675,x24671),f231(x24673,x24674,x24675,x24672))
% 178.51/178.27 [2468]~E(x24681,x24682)+E(f569(x24681,x24683,x24684),f569(x24682,x24683,x24684))
% 178.51/178.27 [2469]~E(x24691,x24692)+E(f569(x24693,x24691,x24694),f569(x24693,x24692,x24694))
% 178.51/178.27 [2470]~E(x24701,x24702)+E(f569(x24703,x24704,x24701),f569(x24703,x24704,x24702))
% 178.51/178.27 [2471]~E(x24711,x24712)+E(f342(x24711,x24713),f342(x24712,x24713))
% 178.51/178.27 [2472]~E(x24721,x24722)+E(f342(x24723,x24721),f342(x24723,x24722))
% 178.51/178.27 [2473]~E(x24731,x24732)+E(f226(x24731,x24733,x24734,x24735,x24736),f226(x24732,x24733,x24734,x24735,x24736))
% 178.51/178.27 [2474]~E(x24741,x24742)+E(f226(x24743,x24741,x24744,x24745,x24746),f226(x24743,x24742,x24744,x24745,x24746))
% 178.51/178.27 [2475]~E(x24751,x24752)+E(f226(x24753,x24754,x24751,x24755,x24756),f226(x24753,x24754,x24752,x24755,x24756))
% 178.51/178.27 [2476]~E(x24761,x24762)+E(f226(x24763,x24764,x24765,x24761,x24766),f226(x24763,x24764,x24765,x24762,x24766))
% 178.51/178.27 [2477]~E(x24771,x24772)+E(f226(x24773,x24774,x24775,x24776,x24771),f226(x24773,x24774,x24775,x24776,x24772))
% 178.51/178.27 [2478]~E(x24781,x24782)+E(f311(x24781,x24783),f311(x24782,x24783))
% 178.51/178.27 [2479]~E(x24791,x24792)+E(f311(x24793,x24791),f311(x24793,x24792))
% 178.51/178.27 [2480]~E(x24801,x24802)+E(f523(x24801,x24803,x24804,x24805,x24806),f523(x24802,x24803,x24804,x24805,x24806))
% 178.51/178.27 [2481]~E(x24811,x24812)+E(f523(x24813,x24811,x24814,x24815,x24816),f523(x24813,x24812,x24814,x24815,x24816))
% 178.51/178.27 [2482]~E(x24821,x24822)+E(f523(x24823,x24824,x24821,x24825,x24826),f523(x24823,x24824,x24822,x24825,x24826))
% 178.51/178.27 [2483]~E(x24831,x24832)+E(f523(x24833,x24834,x24835,x24831,x24836),f523(x24833,x24834,x24835,x24832,x24836))
% 178.51/178.27 [2484]~E(x24841,x24842)+E(f523(x24843,x24844,x24845,x24846,x24841),f523(x24843,x24844,x24845,x24846,x24842))
% 178.51/178.27 [2485]~E(x24851,x24852)+E(f478(x24851,x24853,x24854,x24855),f478(x24852,x24853,x24854,x24855))
% 178.51/178.27 [2486]~E(x24861,x24862)+E(f478(x24863,x24861,x24864,x24865),f478(x24863,x24862,x24864,x24865))
% 178.51/178.27 [2487]~E(x24871,x24872)+E(f478(x24873,x24874,x24871,x24875),f478(x24873,x24874,x24872,x24875))
% 178.51/178.27 [2488]~E(x24881,x24882)+E(f478(x24883,x24884,x24885,x24881),f478(x24883,x24884,x24885,x24882))
% 178.51/178.27 [2489]~E(x24891,x24892)+E(f796(x24891,x24893,x24894,x24895),f796(x24892,x24893,x24894,x24895))
% 178.51/178.27 [2490]~E(x24901,x24902)+E(f796(x24903,x24901,x24904,x24905),f796(x24903,x24902,x24904,x24905))
% 178.51/178.27 [2491]~E(x24911,x24912)+E(f796(x24913,x24914,x24911,x24915),f796(x24913,x24914,x24912,x24915))
% 178.51/178.27 [2492]~E(x24921,x24922)+E(f796(x24923,x24924,x24925,x24921),f796(x24923,x24924,x24925,x24922))
% 178.51/178.27 [2493]~E(x24931,x24932)+E(f422(x24931,x24933,x24934,x24935,x24936),f422(x24932,x24933,x24934,x24935,x24936))
% 178.51/178.27 [2494]~E(x24941,x24942)+E(f422(x24943,x24941,x24944,x24945,x24946),f422(x24943,x24942,x24944,x24945,x24946))
% 178.51/178.27 [2495]~E(x24951,x24952)+E(f422(x24953,x24954,x24951,x24955,x24956),f422(x24953,x24954,x24952,x24955,x24956))
% 178.51/178.27 [2496]~E(x24961,x24962)+E(f422(x24963,x24964,x24965,x24961,x24966),f422(x24963,x24964,x24965,x24962,x24966))
% 178.51/178.27 [2497]~E(x24971,x24972)+E(f422(x24973,x24974,x24975,x24976,x24971),f422(x24973,x24974,x24975,x24976,x24972))
% 178.51/178.27 [2498]~E(x24981,x24982)+E(f905(x24981,x24983,x24984,x24985),f905(x24982,x24983,x24984,x24985))
% 178.51/178.27 [2499]~E(x24991,x24992)+E(f905(x24993,x24991,x24994,x24995),f905(x24993,x24992,x24994,x24995))
% 178.51/178.27 [2500]~E(x25001,x25002)+E(f905(x25003,x25004,x25001,x25005),f905(x25003,x25004,x25002,x25005))
% 178.51/178.27 [2501]~E(x25011,x25012)+E(f905(x25013,x25014,x25015,x25011),f905(x25013,x25014,x25015,x25012))
% 178.51/178.27 [2502]~E(x25021,x25022)+E(f738(x25021,x25023,x25024),f738(x25022,x25023,x25024))
% 178.51/178.27 [2503]~E(x25031,x25032)+E(f738(x25033,x25031,x25034),f738(x25033,x25032,x25034))
% 178.51/178.27 [2504]~E(x25041,x25042)+E(f738(x25043,x25044,x25041),f738(x25043,x25044,x25042))
% 178.51/178.27 [2505]~E(x25051,x25052)+E(f711(x25051,x25053,x25054),f711(x25052,x25053,x25054))
% 178.51/178.27 [2506]~E(x25061,x25062)+E(f711(x25063,x25061,x25064),f711(x25063,x25062,x25064))
% 178.51/178.27 [2507]~E(x25071,x25072)+E(f711(x25073,x25074,x25071),f711(x25073,x25074,x25072))
% 178.51/178.27 [2508]~E(x25081,x25082)+E(f716(x25081,x25083),f716(x25082,x25083))
% 178.51/178.27 [2509]~E(x25091,x25092)+E(f716(x25093,x25091),f716(x25093,x25092))
% 178.51/178.27 [2510]~E(x25101,x25102)+E(f832(x25101,x25103,x25104,x25105),f832(x25102,x25103,x25104,x25105))
% 178.51/178.27 [2511]~E(x25111,x25112)+E(f832(x25113,x25111,x25114,x25115),f832(x25113,x25112,x25114,x25115))
% 178.51/178.27 [2512]~E(x25121,x25122)+E(f832(x25123,x25124,x25121,x25125),f832(x25123,x25124,x25122,x25125))
% 178.51/178.27 [2513]~E(x25131,x25132)+E(f832(x25133,x25134,x25135,x25131),f832(x25133,x25134,x25135,x25132))
% 178.51/178.27 [2514]~E(x25141,x25142)+E(f532(x25141,x25143,x25144,x25145),f532(x25142,x25143,x25144,x25145))
% 178.51/178.27 [2515]~E(x25151,x25152)+E(f532(x25153,x25151,x25154,x25155),f532(x25153,x25152,x25154,x25155))
% 178.51/178.27 [2516]~E(x25161,x25162)+E(f532(x25163,x25164,x25161,x25165),f532(x25163,x25164,x25162,x25165))
% 178.51/178.27 [2517]~E(x25171,x25172)+E(f532(x25173,x25174,x25175,x25171),f532(x25173,x25174,x25175,x25172))
% 178.51/178.27 [2518]~E(x25181,x25182)+E(f246(x25181,x25183,x25184),f246(x25182,x25183,x25184))
% 178.51/178.27 [2519]~E(x25191,x25192)+E(f246(x25193,x25191,x25194),f246(x25193,x25192,x25194))
% 178.51/178.27 [2520]~E(x25201,x25202)+E(f246(x25203,x25204,x25201),f246(x25203,x25204,x25202))
% 178.51/178.27 [2521]~E(x25211,x25212)+E(f491(x25211,x25213,x25214),f491(x25212,x25213,x25214))
% 178.51/178.27 [2522]~E(x25221,x25222)+E(f491(x25223,x25221,x25224),f491(x25223,x25222,x25224))
% 178.51/178.27 [2523]~E(x25231,x25232)+E(f491(x25233,x25234,x25231),f491(x25233,x25234,x25232))
% 178.51/178.27 [2524]~E(x25241,x25242)+E(f368(x25241),f368(x25242))
% 178.51/178.27 [2525]~E(x25251,x25252)+E(f573(x25251,x25253,x25254),f573(x25252,x25253,x25254))
% 178.51/178.27 [2526]~E(x25261,x25262)+E(f573(x25263,x25261,x25264),f573(x25263,x25262,x25264))
% 178.51/178.27 [2527]~E(x25271,x25272)+E(f573(x25273,x25274,x25271),f573(x25273,x25274,x25272))
% 178.51/178.27 [2528]~E(x25281,x25282)+E(f516(x25281,x25283,x25284,x25285,x25286,x25287,x25288),f516(x25282,x25283,x25284,x25285,x25286,x25287,x25288))
% 178.51/178.27 [2529]~E(x25291,x25292)+E(f516(x25293,x25291,x25294,x25295,x25296,x25297,x25298),f516(x25293,x25292,x25294,x25295,x25296,x25297,x25298))
% 178.51/178.27 [2530]~E(x25301,x25302)+E(f516(x25303,x25304,x25301,x25305,x25306,x25307,x25308),f516(x25303,x25304,x25302,x25305,x25306,x25307,x25308))
% 178.51/178.27 [2531]~E(x25311,x25312)+E(f516(x25313,x25314,x25315,x25311,x25316,x25317,x25318),f516(x25313,x25314,x25315,x25312,x25316,x25317,x25318))
% 178.51/178.27 [2532]~E(x25321,x25322)+E(f516(x25323,x25324,x25325,x25326,x25321,x25327,x25328),f516(x25323,x25324,x25325,x25326,x25322,x25327,x25328))
% 178.51/178.27 [2533]~E(x25331,x25332)+E(f516(x25333,x25334,x25335,x25336,x25337,x25331,x25338),f516(x25333,x25334,x25335,x25336,x25337,x25332,x25338))
% 178.51/178.27 [2534]~E(x25341,x25342)+E(f516(x25343,x25344,x25345,x25346,x25347,x25348,x25341),f516(x25343,x25344,x25345,x25346,x25347,x25348,x25342))
% 178.51/178.27 [2535]~E(x25351,x25352)+E(f497(x25351,x25353,x25354),f497(x25352,x25353,x25354))
% 178.51/178.27 [2536]~E(x25361,x25362)+E(f497(x25363,x25361,x25364),f497(x25363,x25362,x25364))
% 178.51/178.27 [2537]~E(x25371,x25372)+E(f497(x25373,x25374,x25371),f497(x25373,x25374,x25372))
% 178.51/178.27 [2538]~E(x25381,x25382)+E(f270(x25381,x25383,x25384,x25385),f270(x25382,x25383,x25384,x25385))
% 178.51/178.27 [2539]~E(x25391,x25392)+E(f270(x25393,x25391,x25394,x25395),f270(x25393,x25392,x25394,x25395))
% 178.51/178.27 [2540]~E(x25401,x25402)+E(f270(x25403,x25404,x25401,x25405),f270(x25403,x25404,x25402,x25405))
% 178.51/178.27 [2541]~E(x25411,x25412)+E(f270(x25413,x25414,x25415,x25411),f270(x25413,x25414,x25415,x25412))
% 178.51/178.27 [2542]~E(x25421,x25422)+E(f850(x25421,x25423,x25424,x25425,x25426),f850(x25422,x25423,x25424,x25425,x25426))
% 178.51/178.27 [2543]~E(x25431,x25432)+E(f850(x25433,x25431,x25434,x25435,x25436),f850(x25433,x25432,x25434,x25435,x25436))
% 178.51/178.27 [2544]~E(x25441,x25442)+E(f850(x25443,x25444,x25441,x25445,x25446),f850(x25443,x25444,x25442,x25445,x25446))
% 178.51/178.27 [2545]~E(x25451,x25452)+E(f850(x25453,x25454,x25455,x25451,x25456),f850(x25453,x25454,x25455,x25452,x25456))
% 178.51/178.27 [2546]~E(x25461,x25462)+E(f850(x25463,x25464,x25465,x25466,x25461),f850(x25463,x25464,x25465,x25466,x25462))
% 178.51/178.27 [2547]~E(x25471,x25472)+E(f93(x25471,x25473,x25474),f93(x25472,x25473,x25474))
% 178.51/178.27 [2548]~E(x25481,x25482)+E(f93(x25483,x25481,x25484),f93(x25483,x25482,x25484))
% 178.51/178.27 [2549]~E(x25491,x25492)+E(f93(x25493,x25494,x25491),f93(x25493,x25494,x25492))
% 178.51/178.27 [2550]~E(x25501,x25502)+E(f553(x25501,x25503,x25504,x25505,x25506),f553(x25502,x25503,x25504,x25505,x25506))
% 178.51/178.27 [2551]~E(x25511,x25512)+E(f553(x25513,x25511,x25514,x25515,x25516),f553(x25513,x25512,x25514,x25515,x25516))
% 178.51/178.27 [2552]~E(x25521,x25522)+E(f553(x25523,x25524,x25521,x25525,x25526),f553(x25523,x25524,x25522,x25525,x25526))
% 178.51/178.27 [2553]~E(x25531,x25532)+E(f553(x25533,x25534,x25535,x25531,x25536),f553(x25533,x25534,x25535,x25532,x25536))
% 178.51/178.27 [2554]~E(x25541,x25542)+E(f553(x25543,x25544,x25545,x25546,x25541),f553(x25543,x25544,x25545,x25546,x25542))
% 178.51/178.27 [2555]~E(x25551,x25552)+E(f858(x25551,x25553,x25554,x25555,x25556,x25557,x25558),f858(x25552,x25553,x25554,x25555,x25556,x25557,x25558))
% 178.51/178.27 [2556]~E(x25561,x25562)+E(f858(x25563,x25561,x25564,x25565,x25566,x25567,x25568),f858(x25563,x25562,x25564,x25565,x25566,x25567,x25568))
% 178.51/178.27 [2557]~E(x25571,x25572)+E(f858(x25573,x25574,x25571,x25575,x25576,x25577,x25578),f858(x25573,x25574,x25572,x25575,x25576,x25577,x25578))
% 178.51/178.27 [2558]~E(x25581,x25582)+E(f858(x25583,x25584,x25585,x25581,x25586,x25587,x25588),f858(x25583,x25584,x25585,x25582,x25586,x25587,x25588))
% 178.51/178.27 [2559]~E(x25591,x25592)+E(f858(x25593,x25594,x25595,x25596,x25591,x25597,x25598),f858(x25593,x25594,x25595,x25596,x25592,x25597,x25598))
% 178.51/178.27 [2560]~E(x25601,x25602)+E(f858(x25603,x25604,x25605,x25606,x25607,x25601,x25608),f858(x25603,x25604,x25605,x25606,x25607,x25602,x25608))
% 178.51/178.27 [2561]~E(x25611,x25612)+E(f858(x25613,x25614,x25615,x25616,x25617,x25618,x25611),f858(x25613,x25614,x25615,x25616,x25617,x25618,x25612))
% 178.51/178.27 [2562]~E(x25621,x25622)+E(f696(x25621,x25623),f696(x25622,x25623))
% 178.51/178.27 [2563]~E(x25631,x25632)+E(f696(x25633,x25631),f696(x25633,x25632))
% 178.51/178.27 [2564]~E(x25641,x25642)+E(f488(x25641,x25643,x25644),f488(x25642,x25643,x25644))
% 178.51/178.27 [2565]~E(x25651,x25652)+E(f488(x25653,x25651,x25654),f488(x25653,x25652,x25654))
% 178.51/178.27 [2566]~E(x25661,x25662)+E(f488(x25663,x25664,x25661),f488(x25663,x25664,x25662))
% 178.51/178.27 [2567]~E(x25671,x25672)+E(f826(x25671,x25673,x25674,x25675),f826(x25672,x25673,x25674,x25675))
% 178.51/178.27 [2568]~E(x25681,x25682)+E(f826(x25683,x25681,x25684,x25685),f826(x25683,x25682,x25684,x25685))
% 178.51/178.27 [2569]~E(x25691,x25692)+E(f826(x25693,x25694,x25691,x25695),f826(x25693,x25694,x25692,x25695))
% 178.51/178.27 [2570]~E(x25701,x25702)+E(f826(x25703,x25704,x25705,x25701),f826(x25703,x25704,x25705,x25702))
% 178.51/178.27 [2571]~E(x25711,x25712)+E(f429(x25711,x25713,x25714,x25715,x25716),f429(x25712,x25713,x25714,x25715,x25716))
% 178.51/178.27 [2572]~E(x25721,x25722)+E(f429(x25723,x25721,x25724,x25725,x25726),f429(x25723,x25722,x25724,x25725,x25726))
% 178.51/178.27 [2573]~E(x25731,x25732)+E(f429(x25733,x25734,x25731,x25735,x25736),f429(x25733,x25734,x25732,x25735,x25736))
% 178.51/178.27 [2574]~E(x25741,x25742)+E(f429(x25743,x25744,x25745,x25741,x25746),f429(x25743,x25744,x25745,x25742,x25746))
% 178.51/178.27 [2575]~E(x25751,x25752)+E(f429(x25753,x25754,x25755,x25756,x25751),f429(x25753,x25754,x25755,x25756,x25752))
% 178.51/178.27 [2576]~E(x25761,x25762)+E(f543(x25761,x25763),f543(x25762,x25763))
% 178.51/178.27 [2577]~E(x25771,x25772)+E(f543(x25773,x25771),f543(x25773,x25772))
% 178.51/178.27 [2578]~E(x25781,x25782)+E(f810(x25781,x25783),f810(x25782,x25783))
% 178.51/178.27 [2579]~E(x25791,x25792)+E(f810(x25793,x25791),f810(x25793,x25792))
% 178.51/178.27 [2580]~E(x25801,x25802)+E(f694(x25801,x25803,x25804,x25805,x25806),f694(x25802,x25803,x25804,x25805,x25806))
% 178.51/178.27 [2581]~E(x25811,x25812)+E(f694(x25813,x25811,x25814,x25815,x25816),f694(x25813,x25812,x25814,x25815,x25816))
% 178.51/178.27 [2582]~E(x25821,x25822)+E(f694(x25823,x25824,x25821,x25825,x25826),f694(x25823,x25824,x25822,x25825,x25826))
% 178.51/178.27 [2583]~E(x25831,x25832)+E(f694(x25833,x25834,x25835,x25831,x25836),f694(x25833,x25834,x25835,x25832,x25836))
% 178.51/178.27 [2584]~E(x25841,x25842)+E(f694(x25843,x25844,x25845,x25846,x25841),f694(x25843,x25844,x25845,x25846,x25842))
% 178.51/178.27 [2585]~E(x25851,x25852)+E(f388(x25851,x25853,x25854),f388(x25852,x25853,x25854))
% 178.51/178.27 [2586]~E(x25861,x25862)+E(f388(x25863,x25861,x25864),f388(x25863,x25862,x25864))
% 178.51/178.27 [2587]~E(x25871,x25872)+E(f388(x25873,x25874,x25871),f388(x25873,x25874,x25872))
% 178.51/178.27 [2588]~E(x25881,x25882)+E(f333(x25881,x25883),f333(x25882,x25883))
% 178.51/178.27 [2589]~E(x25891,x25892)+E(f333(x25893,x25891),f333(x25893,x25892))
% 178.51/178.27 [2590]~E(x25901,x25902)+E(f466(x25901,x25903,x25904,x25905,x25906),f466(x25902,x25903,x25904,x25905,x25906))
% 178.51/178.27 [2591]~E(x25911,x25912)+E(f466(x25913,x25911,x25914,x25915,x25916),f466(x25913,x25912,x25914,x25915,x25916))
% 178.51/178.27 [2592]~E(x25921,x25922)+E(f466(x25923,x25924,x25921,x25925,x25926),f466(x25923,x25924,x25922,x25925,x25926))
% 178.51/178.27 [2593]~E(x25931,x25932)+E(f466(x25933,x25934,x25935,x25931,x25936),f466(x25933,x25934,x25935,x25932,x25936))
% 178.51/178.27 [2594]~E(x25941,x25942)+E(f466(x25943,x25944,x25945,x25946,x25941),f466(x25943,x25944,x25945,x25946,x25942))
% 178.51/178.27 [2595]~E(x25951,x25952)+E(f229(x25951,x25953,x25954,x25955),f229(x25952,x25953,x25954,x25955))
% 178.51/178.27 [2596]~E(x25961,x25962)+E(f229(x25963,x25961,x25964,x25965),f229(x25963,x25962,x25964,x25965))
% 178.51/178.27 [2597]~E(x25971,x25972)+E(f229(x25973,x25974,x25971,x25975),f229(x25973,x25974,x25972,x25975))
% 178.51/178.27 [2598]~E(x25981,x25982)+E(f229(x25983,x25984,x25985,x25981),f229(x25983,x25984,x25985,x25982))
% 178.51/178.27 [2599]~E(x25991,x25992)+E(f908(x25991,x25993,x25994,x25995),f908(x25992,x25993,x25994,x25995))
% 178.51/178.27 [2600]~E(x26001,x26002)+E(f908(x26003,x26001,x26004,x26005),f908(x26003,x26002,x26004,x26005))
% 178.51/178.27 [2601]~E(x26011,x26012)+E(f908(x26013,x26014,x26011,x26015),f908(x26013,x26014,x26012,x26015))
% 178.51/178.27 [2602]~E(x26021,x26022)+E(f908(x26023,x26024,x26025,x26021),f908(x26023,x26024,x26025,x26022))
% 178.51/178.27 [2603]~E(x26031,x26032)+E(f747(x26031,x26033,x26034,x26035,x26036,x26037,x26038),f747(x26032,x26033,x26034,x26035,x26036,x26037,x26038))
% 178.51/178.27 [2604]~E(x26041,x26042)+E(f747(x26043,x26041,x26044,x26045,x26046,x26047,x26048),f747(x26043,x26042,x26044,x26045,x26046,x26047,x26048))
% 178.51/178.27 [2605]~E(x26051,x26052)+E(f747(x26053,x26054,x26051,x26055,x26056,x26057,x26058),f747(x26053,x26054,x26052,x26055,x26056,x26057,x26058))
% 178.51/178.27 [2606]~E(x26061,x26062)+E(f747(x26063,x26064,x26065,x26061,x26066,x26067,x26068),f747(x26063,x26064,x26065,x26062,x26066,x26067,x26068))
% 178.51/178.27 [2607]~E(x26071,x26072)+E(f747(x26073,x26074,x26075,x26076,x26071,x26077,x26078),f747(x26073,x26074,x26075,x26076,x26072,x26077,x26078))
% 178.51/178.27 [2608]~E(x26081,x26082)+E(f747(x26083,x26084,x26085,x26086,x26087,x26081,x26088),f747(x26083,x26084,x26085,x26086,x26087,x26082,x26088))
% 178.51/178.27 [2609]~E(x26091,x26092)+E(f747(x26093,x26094,x26095,x26096,x26097,x26098,x26091),f747(x26093,x26094,x26095,x26096,x26097,x26098,x26092))
% 178.51/178.27 [2610]~E(x26101,x26102)+E(f871(x26101,x26103,x26104,x26105),f871(x26102,x26103,x26104,x26105))
% 178.51/178.27 [2611]~E(x26111,x26112)+E(f871(x26113,x26111,x26114,x26115),f871(x26113,x26112,x26114,x26115))
% 178.51/178.27 [2612]~E(x26121,x26122)+E(f871(x26123,x26124,x26121,x26125),f871(x26123,x26124,x26122,x26125))
% 178.51/178.27 [2613]~E(x26131,x26132)+E(f871(x26133,x26134,x26135,x26131),f871(x26133,x26134,x26135,x26132))
% 178.51/178.27 [2614]~E(x26141,x26142)+E(f587(x26141,x26143,x26144),f587(x26142,x26143,x26144))
% 178.51/178.27 [2615]~E(x26151,x26152)+E(f587(x26153,x26151,x26154),f587(x26153,x26152,x26154))
% 178.51/178.27 [2616]~E(x26161,x26162)+E(f587(x26163,x26164,x26161),f587(x26163,x26164,x26162))
% 178.51/178.27 [2617]~E(x26171,x26172)+E(f23(x26171,x26173),f23(x26172,x26173))
% 178.51/178.27 [2618]~E(x26181,x26182)+E(f23(x26183,x26181),f23(x26183,x26182))
% 178.51/178.27 [2619]~E(x26191,x26192)+E(f739(x26191,x26193),f739(x26192,x26193))
% 178.51/178.27 [2620]~E(x26201,x26202)+E(f739(x26203,x26201),f739(x26203,x26202))
% 178.51/178.27 [2621]~E(x26211,x26212)+E(f438(x26211,x26213,x26214,x26215),f438(x26212,x26213,x26214,x26215))
% 178.51/178.27 [2622]~E(x26221,x26222)+E(f438(x26223,x26221,x26224,x26225),f438(x26223,x26222,x26224,x26225))
% 178.51/178.27 [2623]~E(x26231,x26232)+E(f438(x26233,x26234,x26231,x26235),f438(x26233,x26234,x26232,x26235))
% 178.51/178.27 [2624]~E(x26241,x26242)+E(f438(x26243,x26244,x26245,x26241),f438(x26243,x26244,x26245,x26242))
% 178.51/178.27 [2625]~E(x26251,x26252)+E(f561(x26251,x26253,x26254,x26255),f561(x26252,x26253,x26254,x26255))
% 178.51/178.27 [2626]~E(x26261,x26262)+E(f561(x26263,x26261,x26264,x26265),f561(x26263,x26262,x26264,x26265))
% 178.51/178.27 [2627]~E(x26271,x26272)+E(f561(x26273,x26274,x26271,x26275),f561(x26273,x26274,x26272,x26275))
% 178.51/178.27 [2628]~E(x26281,x26282)+E(f561(x26283,x26284,x26285,x26281),f561(x26283,x26284,x26285,x26282))
% 178.51/178.27 [2629]~E(x26291,x26292)+E(f902(x26291,x26293,x26294,x26295),f902(x26292,x26293,x26294,x26295))
% 178.51/178.27 [2630]~E(x26301,x26302)+E(f902(x26303,x26301,x26304,x26305),f902(x26303,x26302,x26304,x26305))
% 178.51/178.27 [2631]~E(x26311,x26312)+E(f902(x26313,x26314,x26311,x26315),f902(x26313,x26314,x26312,x26315))
% 178.51/178.27 [2632]~E(x26321,x26322)+E(f902(x26323,x26324,x26325,x26321),f902(x26323,x26324,x26325,x26322))
% 178.51/178.27 [2633]~E(x26331,x26332)+E(f752(x26331,x26333,x26334,x26335),f752(x26332,x26333,x26334,x26335))
% 178.51/178.27 [2634]~E(x26341,x26342)+E(f752(x26343,x26341,x26344,x26345),f752(x26343,x26342,x26344,x26345))
% 178.51/178.27 [2635]~E(x26351,x26352)+E(f752(x26353,x26354,x26351,x26355),f752(x26353,x26354,x26352,x26355))
% 178.51/178.27 [2636]~E(x26361,x26362)+E(f752(x26363,x26364,x26365,x26361),f752(x26363,x26364,x26365,x26362))
% 178.51/178.27 [2637]~E(x26371,x26372)+E(f638(x26371,x26373,x26374,x26375,x26376),f638(x26372,x26373,x26374,x26375,x26376))
% 178.51/178.27 [2638]~E(x26381,x26382)+E(f638(x26383,x26381,x26384,x26385,x26386),f638(x26383,x26382,x26384,x26385,x26386))
% 178.51/178.27 [2639]~E(x26391,x26392)+E(f638(x26393,x26394,x26391,x26395,x26396),f638(x26393,x26394,x26392,x26395,x26396))
% 178.51/178.27 [2640]~E(x26401,x26402)+E(f638(x26403,x26404,x26405,x26401,x26406),f638(x26403,x26404,x26405,x26402,x26406))
% 178.51/178.27 [2641]~E(x26411,x26412)+E(f638(x26413,x26414,x26415,x26416,x26411),f638(x26413,x26414,x26415,x26416,x26412))
% 178.51/178.27 [2642]~E(x26421,x26422)+E(f424(x26421,x26423),f424(x26422,x26423))
% 178.51/178.27 [2643]~E(x26431,x26432)+E(f424(x26433,x26431),f424(x26433,x26432))
% 178.51/178.27 [2644]~E(x26441,x26442)+E(f760(x26441,x26443,x26444),f760(x26442,x26443,x26444))
% 178.51/178.27 [2645]~E(x26451,x26452)+E(f760(x26453,x26451,x26454),f760(x26453,x26452,x26454))
% 178.51/178.27 [2646]~E(x26461,x26462)+E(f760(x26463,x26464,x26461),f760(x26463,x26464,x26462))
% 178.51/178.27 [2647]~E(x26471,x26472)+E(f734(x26471,x26473),f734(x26472,x26473))
% 178.51/178.27 [2648]~E(x26481,x26482)+E(f734(x26483,x26481),f734(x26483,x26482))
% 178.51/178.27 [2649]~E(x26491,x26492)+E(f44(x26491),f44(x26492))
% 178.51/178.27 [2650]~E(x26501,x26502)+E(f406(x26501,x26503),f406(x26502,x26503))
% 178.51/178.27 [2651]~E(x26511,x26512)+E(f406(x26513,x26511),f406(x26513,x26512))
% 178.51/178.27 [2652]~E(x26521,x26522)+E(f715(x26521,x26523,x26524),f715(x26522,x26523,x26524))
% 178.51/178.27 [2653]~E(x26531,x26532)+E(f715(x26533,x26531,x26534),f715(x26533,x26532,x26534))
% 178.51/178.27 [2654]~E(x26541,x26542)+E(f715(x26543,x26544,x26541),f715(x26543,x26544,x26542))
% 178.51/178.27 [2655]~E(x26551,x26552)+E(f838(x26551,x26553,x26554),f838(x26552,x26553,x26554))
% 178.51/178.27 [2656]~E(x26561,x26562)+E(f838(x26563,x26561,x26564),f838(x26563,x26562,x26564))
% 178.51/178.27 [2657]~E(x26571,x26572)+E(f838(x26573,x26574,x26571),f838(x26573,x26574,x26572))
% 178.51/178.27 [2658]~E(x26581,x26582)+E(f901(x26581,x26583,x26584),f901(x26582,x26583,x26584))
% 178.51/178.27 [2659]~E(x26591,x26592)+E(f901(x26593,x26591,x26594),f901(x26593,x26592,x26594))
% 178.51/178.27 [2660]~E(x26601,x26602)+E(f901(x26603,x26604,x26601),f901(x26603,x26604,x26602))
% 178.51/178.27 [2661]~E(x26611,x26612)+E(f124(x26611),f124(x26612))
% 178.51/178.27 [2662]~E(x26621,x26622)+E(f837(x26621,x26623,x26624),f837(x26622,x26623,x26624))
% 178.51/178.27 [2663]~E(x26631,x26632)+E(f837(x26633,x26631,x26634),f837(x26633,x26632,x26634))
% 178.51/178.27 [2664]~E(x26641,x26642)+E(f837(x26643,x26644,x26641),f837(x26643,x26644,x26642))
% 178.51/178.27 [2665]~E(x26651,x26652)+E(f708(x26651,x26653),f708(x26652,x26653))
% 178.51/178.27 [2666]~E(x26661,x26662)+E(f708(x26663,x26661),f708(x26663,x26662))
% 178.51/178.27 [2667]~E(x26671,x26672)+E(f632(x26671,x26673,x26674,x26675,x26676),f632(x26672,x26673,x26674,x26675,x26676))
% 178.51/178.27 [2668]~E(x26681,x26682)+E(f632(x26683,x26681,x26684,x26685,x26686),f632(x26683,x26682,x26684,x26685,x26686))
% 178.51/178.27 [2669]~E(x26691,x26692)+E(f632(x26693,x26694,x26691,x26695,x26696),f632(x26693,x26694,x26692,x26695,x26696))
% 178.51/178.27 [2670]~E(x26701,x26702)+E(f632(x26703,x26704,x26705,x26701,x26706),f632(x26703,x26704,x26705,x26702,x26706))
% 178.51/178.27 [2671]~E(x26711,x26712)+E(f632(x26713,x26714,x26715,x26716,x26711),f632(x26713,x26714,x26715,x26716,x26712))
% 178.51/178.27 [2672]~E(x26721,x26722)+E(f479(x26721,x26723,x26724),f479(x26722,x26723,x26724))
% 178.51/178.27 [2673]~E(x26731,x26732)+E(f479(x26733,x26731,x26734),f479(x26733,x26732,x26734))
% 178.51/178.27 [2674]~E(x26741,x26742)+E(f479(x26743,x26744,x26741),f479(x26743,x26744,x26742))
% 178.51/178.27 [2675]~E(x26751,x26752)+E(f641(x26751,x26753,x26754,x26755),f641(x26752,x26753,x26754,x26755))
% 178.51/178.27 [2676]~E(x26761,x26762)+E(f641(x26763,x26761,x26764,x26765),f641(x26763,x26762,x26764,x26765))
% 178.51/178.27 [2677]~E(x26771,x26772)+E(f641(x26773,x26774,x26771,x26775),f641(x26773,x26774,x26772,x26775))
% 178.51/178.27 [2678]~E(x26781,x26782)+E(f641(x26783,x26784,x26785,x26781),f641(x26783,x26784,x26785,x26782))
% 178.51/178.27 [2679]~E(x26791,x26792)+E(f648(x26791,x26793),f648(x26792,x26793))
% 178.51/178.27 [2680]~E(x26801,x26802)+E(f648(x26803,x26801),f648(x26803,x26802))
% 178.51/178.27 [2681]~E(x26811,x26812)+E(f737(x26811,x26813),f737(x26812,x26813))
% 178.51/178.27 [2682]~E(x26821,x26822)+E(f737(x26823,x26821),f737(x26823,x26822))
% 178.51/178.27 [2683]~E(x26831,x26832)+E(f375(x26831,x26833),f375(x26832,x26833))
% 178.51/178.27 [2684]~E(x26841,x26842)+E(f375(x26843,x26841),f375(x26843,x26842))
% 178.51/178.27 [2685]~E(x26851,x26852)+E(f203(x26851,x26853,x26854),f203(x26852,x26853,x26854))
% 178.51/178.27 [2686]~E(x26861,x26862)+E(f203(x26863,x26861,x26864),f203(x26863,x26862,x26864))
% 178.51/178.27 [2687]~E(x26871,x26872)+E(f203(x26873,x26874,x26871),f203(x26873,x26874,x26872))
% 178.51/178.27 [2688]~E(x26881,x26882)+E(f386(x26881,x26883,x26884),f386(x26882,x26883,x26884))
% 178.51/178.27 [2689]~E(x26891,x26892)+E(f386(x26893,x26891,x26894),f386(x26893,x26892,x26894))
% 178.51/178.27 [2690]~E(x26901,x26902)+E(f386(x26903,x26904,x26901),f386(x26903,x26904,x26902))
% 178.51/178.27 [2691]~E(x26911,x26912)+E(f376(x26911),f376(x26912))
% 178.51/178.27 [2692]~E(x26921,x26922)+E(f525(x26921),f525(x26922))
% 178.51/178.27 [2693]~E(x26931,x26932)+E(f512(x26931,x26933,x26934,x26935),f512(x26932,x26933,x26934,x26935))
% 178.51/178.27 [2694]~E(x26941,x26942)+E(f512(x26943,x26941,x26944,x26945),f512(x26943,x26942,x26944,x26945))
% 178.51/178.27 [2695]~E(x26951,x26952)+E(f512(x26953,x26954,x26951,x26955),f512(x26953,x26954,x26952,x26955))
% 178.51/178.27 [2696]~E(x26961,x26962)+E(f512(x26963,x26964,x26965,x26961),f512(x26963,x26964,x26965,x26962))
% 178.51/178.27 [2697]~E(x26971,x26972)+E(f548(x26971,x26973,x26974,x26975,x26976,x26977),f548(x26972,x26973,x26974,x26975,x26976,x26977))
% 178.51/178.27 [2698]~E(x26981,x26982)+E(f548(x26983,x26981,x26984,x26985,x26986,x26987),f548(x26983,x26982,x26984,x26985,x26986,x26987))
% 178.51/178.27 [2699]~E(x26991,x26992)+E(f548(x26993,x26994,x26991,x26995,x26996,x26997),f548(x26993,x26994,x26992,x26995,x26996,x26997))
% 178.51/178.27 [2700]~E(x27001,x27002)+E(f548(x27003,x27004,x27005,x27001,x27006,x27007),f548(x27003,x27004,x27005,x27002,x27006,x27007))
% 178.51/178.27 [2701]~E(x27011,x27012)+E(f548(x27013,x27014,x27015,x27016,x27011,x27017),f548(x27013,x27014,x27015,x27016,x27012,x27017))
% 178.51/178.27 [2702]~E(x27021,x27022)+E(f548(x27023,x27024,x27025,x27026,x27027,x27021),f548(x27023,x27024,x27025,x27026,x27027,x27022))
% 178.51/178.27 [2703]~E(x27031,x27032)+E(f634(x27031,x27033,x27034,x27035,x27036),f634(x27032,x27033,x27034,x27035,x27036))
% 178.51/178.27 [2704]~E(x27041,x27042)+E(f634(x27043,x27041,x27044,x27045,x27046),f634(x27043,x27042,x27044,x27045,x27046))
% 178.51/178.27 [2705]~E(x27051,x27052)+E(f634(x27053,x27054,x27051,x27055,x27056),f634(x27053,x27054,x27052,x27055,x27056))
% 178.51/178.27 [2706]~E(x27061,x27062)+E(f634(x27063,x27064,x27065,x27061,x27066),f634(x27063,x27064,x27065,x27062,x27066))
% 178.51/178.27 [2707]~E(x27071,x27072)+E(f634(x27073,x27074,x27075,x27076,x27071),f634(x27073,x27074,x27075,x27076,x27072))
% 178.51/178.27 [2708]~E(x27081,x27082)+E(f821(x27081,x27083,x27084),f821(x27082,x27083,x27084))
% 178.51/178.27 [2709]~E(x27091,x27092)+E(f821(x27093,x27091,x27094),f821(x27093,x27092,x27094))
% 178.51/178.27 [2710]~E(x27101,x27102)+E(f821(x27103,x27104,x27101),f821(x27103,x27104,x27102))
% 178.51/178.27 [2711]~E(x27111,x27112)+E(f582(x27111,x27113),f582(x27112,x27113))
% 178.51/178.27 [2712]~E(x27121,x27122)+E(f582(x27123,x27121),f582(x27123,x27122))
% 178.51/178.27 [2713]~E(x27131,x27132)+E(f598(x27131,x27133),f598(x27132,x27133))
% 178.51/178.27 [2714]~E(x27141,x27142)+E(f598(x27143,x27141),f598(x27143,x27142))
% 178.51/178.27 [2715]~E(x27151,x27152)+E(f364(x27151,x27153,x27154),f364(x27152,x27153,x27154))
% 178.51/178.27 [2716]~E(x27161,x27162)+E(f364(x27163,x27161,x27164),f364(x27163,x27162,x27164))
% 178.51/178.27 [2717]~E(x27171,x27172)+E(f364(x27173,x27174,x27171),f364(x27173,x27174,x27172))
% 178.51/178.27 [2718]~E(x27181,x27182)+E(f622(x27181,x27183),f622(x27182,x27183))
% 178.51/178.27 [2719]~E(x27191,x27192)+E(f622(x27193,x27191),f622(x27193,x27192))
% 178.51/178.27 [2720]~E(x27201,x27202)+E(f291(x27201,x27203),f291(x27202,x27203))
% 178.51/178.27 [2721]~E(x27211,x27212)+E(f291(x27213,x27211),f291(x27213,x27212))
% 178.51/178.27 [2722]~E(x27221,x27222)+E(f746(x27221,x27223,x27224,x27225,x27226),f746(x27222,x27223,x27224,x27225,x27226))
% 178.51/178.27 [2723]~E(x27231,x27232)+E(f746(x27233,x27231,x27234,x27235,x27236),f746(x27233,x27232,x27234,x27235,x27236))
% 178.51/178.27 [2724]~E(x27241,x27242)+E(f746(x27243,x27244,x27241,x27245,x27246),f746(x27243,x27244,x27242,x27245,x27246))
% 178.51/178.27 [2725]~E(x27251,x27252)+E(f746(x27253,x27254,x27255,x27251,x27256),f746(x27253,x27254,x27255,x27252,x27256))
% 178.51/178.27 [2726]~E(x27261,x27262)+E(f746(x27263,x27264,x27265,x27266,x27261),f746(x27263,x27264,x27265,x27266,x27262))
% 178.51/178.27 [2727]~E(x27271,x27272)+E(f557(x27271,x27273,x27274,x27275),f557(x27272,x27273,x27274,x27275))
% 178.51/178.27 [2728]~E(x27281,x27282)+E(f557(x27283,x27281,x27284,x27285),f557(x27283,x27282,x27284,x27285))
% 178.51/178.27 [2729]~E(x27291,x27292)+E(f557(x27293,x27294,x27291,x27295),f557(x27293,x27294,x27292,x27295))
% 178.51/178.27 [2730]~E(x27301,x27302)+E(f557(x27303,x27304,x27305,x27301),f557(x27303,x27304,x27305,x27302))
% 178.51/178.27 [2731]~E(x27311,x27312)+E(f672(x27311,x27313),f672(x27312,x27313))
% 178.51/178.27 [2732]~E(x27321,x27322)+E(f672(x27323,x27321),f672(x27323,x27322))
% 178.51/178.27 [2733]~E(x27331,x27332)+E(f884(x27331,x27333,x27334),f884(x27332,x27333,x27334))
% 178.51/178.27 [2734]~E(x27341,x27342)+E(f884(x27343,x27341,x27344),f884(x27343,x27342,x27344))
% 178.51/178.27 [2735]~E(x27351,x27352)+E(f884(x27353,x27354,x27351),f884(x27353,x27354,x27352))
% 178.51/178.27 [2736]~E(x27361,x27362)+E(f390(x27361,x27363,x27364),f390(x27362,x27363,x27364))
% 178.51/178.27 [2737]~E(x27371,x27372)+E(f390(x27373,x27371,x27374),f390(x27373,x27372,x27374))
% 178.51/178.27 [2738]~E(x27381,x27382)+E(f390(x27383,x27384,x27381),f390(x27383,x27384,x27382))
% 178.51/178.27 [2739]~E(x27391,x27392)+E(f742(x27391,x27393,x27394,x27395,x27396),f742(x27392,x27393,x27394,x27395,x27396))
% 178.51/178.27 [2740]~E(x27401,x27402)+E(f742(x27403,x27401,x27404,x27405,x27406),f742(x27403,x27402,x27404,x27405,x27406))
% 178.51/178.27 [2741]~E(x27411,x27412)+E(f742(x27413,x27414,x27411,x27415,x27416),f742(x27413,x27414,x27412,x27415,x27416))
% 178.51/178.27 [2742]~E(x27421,x27422)+E(f742(x27423,x27424,x27425,x27421,x27426),f742(x27423,x27424,x27425,x27422,x27426))
% 178.51/178.27 [2743]~E(x27431,x27432)+E(f742(x27433,x27434,x27435,x27436,x27431),f742(x27433,x27434,x27435,x27436,x27432))
% 178.51/178.27 [2744]~E(x27441,x27442)+E(f906(x27441,x27443,x27444),f906(x27442,x27443,x27444))
% 178.51/178.27 [2745]~E(x27451,x27452)+E(f906(x27453,x27451,x27454),f906(x27453,x27452,x27454))
% 178.51/178.27 [2746]~E(x27461,x27462)+E(f906(x27463,x27464,x27461),f906(x27463,x27464,x27462))
% 178.51/178.27 [2747]~E(x27471,x27472)+E(f744(x27471,x27473,x27474,x27475,x27476),f744(x27472,x27473,x27474,x27475,x27476))
% 178.51/178.27 [2748]~E(x27481,x27482)+E(f744(x27483,x27481,x27484,x27485,x27486),f744(x27483,x27482,x27484,x27485,x27486))
% 178.51/178.27 [2749]~E(x27491,x27492)+E(f744(x27493,x27494,x27491,x27495,x27496),f744(x27493,x27494,x27492,x27495,x27496))
% 178.51/178.27 [2750]~E(x27501,x27502)+E(f744(x27503,x27504,x27505,x27501,x27506),f744(x27503,x27504,x27505,x27502,x27506))
% 178.51/178.27 [2751]~E(x27511,x27512)+E(f744(x27513,x27514,x27515,x27516,x27511),f744(x27513,x27514,x27515,x27516,x27512))
% 178.51/178.27 [2752]~E(x27521,x27522)+E(f228(x27521,x27523,x27524),f228(x27522,x27523,x27524))
% 178.51/178.27 [2753]~E(x27531,x27532)+E(f228(x27533,x27531,x27534),f228(x27533,x27532,x27534))
% 178.51/178.27 [2754]~E(x27541,x27542)+E(f228(x27543,x27544,x27541),f228(x27543,x27544,x27542))
% 178.51/178.27 [2755]~E(x27551,x27552)+E(f207(x27551,x27553,x27554,x27555,x27556,x27557,x27558),f207(x27552,x27553,x27554,x27555,x27556,x27557,x27558))
% 178.51/178.27 [2756]~E(x27561,x27562)+E(f207(x27563,x27561,x27564,x27565,x27566,x27567,x27568),f207(x27563,x27562,x27564,x27565,x27566,x27567,x27568))
% 178.51/178.27 [2757]~E(x27571,x27572)+E(f207(x27573,x27574,x27571,x27575,x27576,x27577,x27578),f207(x27573,x27574,x27572,x27575,x27576,x27577,x27578))
% 178.51/178.27 [2758]~E(x27581,x27582)+E(f207(x27583,x27584,x27585,x27581,x27586,x27587,x27588),f207(x27583,x27584,x27585,x27582,x27586,x27587,x27588))
% 178.51/178.27 [2759]~E(x27591,x27592)+E(f207(x27593,x27594,x27595,x27596,x27591,x27597,x27598),f207(x27593,x27594,x27595,x27596,x27592,x27597,x27598))
% 178.51/178.27 [2760]~E(x27601,x27602)+E(f207(x27603,x27604,x27605,x27606,x27607,x27601,x27608),f207(x27603,x27604,x27605,x27606,x27607,x27602,x27608))
% 178.51/178.27 [2761]~E(x27611,x27612)+E(f207(x27613,x27614,x27615,x27616,x27617,x27618,x27611),f207(x27613,x27614,x27615,x27616,x27617,x27618,x27612))
% 178.51/178.27 [2762]~E(x27621,x27622)+E(f225(x27621,x27623,x27624,x27625,x27626),f225(x27622,x27623,x27624,x27625,x27626))
% 178.51/178.27 [2763]~E(x27631,x27632)+E(f225(x27633,x27631,x27634,x27635,x27636),f225(x27633,x27632,x27634,x27635,x27636))
% 178.51/178.27 [2764]~E(x27641,x27642)+E(f225(x27643,x27644,x27641,x27645,x27646),f225(x27643,x27644,x27642,x27645,x27646))
% 178.51/178.27 [2765]~E(x27651,x27652)+E(f225(x27653,x27654,x27655,x27651,x27656),f225(x27653,x27654,x27655,x27652,x27656))
% 178.51/178.27 [2766]~E(x27661,x27662)+E(f225(x27663,x27664,x27665,x27666,x27661),f225(x27663,x27664,x27665,x27666,x27662))
% 178.51/178.27 [2767]~E(x27671,x27672)+E(f654(x27671,x27673,x27674,x27675,x27676),f654(x27672,x27673,x27674,x27675,x27676))
% 178.51/178.27 [2768]~E(x27681,x27682)+E(f654(x27683,x27681,x27684,x27685,x27686),f654(x27683,x27682,x27684,x27685,x27686))
% 178.51/178.27 [2769]~E(x27691,x27692)+E(f654(x27693,x27694,x27691,x27695,x27696),f654(x27693,x27694,x27692,x27695,x27696))
% 178.51/178.27 [2770]~E(x27701,x27702)+E(f654(x27703,x27704,x27705,x27701,x27706),f654(x27703,x27704,x27705,x27702,x27706))
% 178.51/178.27 [2771]~E(x27711,x27712)+E(f654(x27713,x27714,x27715,x27716,x27711),f654(x27713,x27714,x27715,x27716,x27712))
% 178.51/178.27 [2772]~E(x27721,x27722)+E(f464(x27721,x27723,x27724,x27725,x27726),f464(x27722,x27723,x27724,x27725,x27726))
% 178.51/178.27 [2773]~E(x27731,x27732)+E(f464(x27733,x27731,x27734,x27735,x27736),f464(x27733,x27732,x27734,x27735,x27736))
% 178.51/178.27 [2774]~E(x27741,x27742)+E(f464(x27743,x27744,x27741,x27745,x27746),f464(x27743,x27744,x27742,x27745,x27746))
% 178.51/178.27 [2775]~E(x27751,x27752)+E(f464(x27753,x27754,x27755,x27751,x27756),f464(x27753,x27754,x27755,x27752,x27756))
% 178.51/178.27 [2776]~E(x27761,x27762)+E(f464(x27763,x27764,x27765,x27766,x27761),f464(x27763,x27764,x27765,x27766,x27762))
% 178.51/178.27 [2777]~E(x27771,x27772)+E(f200(x27771),f200(x27772))
% 178.51/178.27 [2778]~E(x27781,x27782)+E(f456(x27781,x27783),f456(x27782,x27783))
% 178.51/178.27 [2779]~E(x27791,x27792)+E(f456(x27793,x27791),f456(x27793,x27792))
% 178.51/178.27 [2780]~E(x27801,x27802)+E(f546(x27801,x27803),f546(x27802,x27803))
% 178.51/178.27 [2781]~E(x27811,x27812)+E(f546(x27813,x27811),f546(x27813,x27812))
% 178.51/178.27 [2782]~E(x27821,x27822)+E(f123(x27821),f123(x27822))
% 178.51/178.27 [2783]~E(x27831,x27832)+E(f636(x27831,x27833,x27834,x27835,x27836),f636(x27832,x27833,x27834,x27835,x27836))
% 178.51/178.27 [2784]~E(x27841,x27842)+E(f636(x27843,x27841,x27844,x27845,x27846),f636(x27843,x27842,x27844,x27845,x27846))
% 178.51/178.27 [2785]~E(x27851,x27852)+E(f636(x27853,x27854,x27851,x27855,x27856),f636(x27853,x27854,x27852,x27855,x27856))
% 178.51/178.27 [2786]~E(x27861,x27862)+E(f636(x27863,x27864,x27865,x27861,x27866),f636(x27863,x27864,x27865,x27862,x27866))
% 178.51/178.27 [2787]~E(x27871,x27872)+E(f636(x27873,x27874,x27875,x27876,x27871),f636(x27873,x27874,x27875,x27876,x27872))
% 178.51/178.27 [2788]~E(x27881,x27882)+E(f563(x27881,x27883),f563(x27882,x27883))
% 178.51/178.27 [2789]~E(x27891,x27892)+E(f563(x27893,x27891),f563(x27893,x27892))
% 178.51/178.27 [2790]~E(x27901,x27902)+E(f335(x27901,x27903),f335(x27902,x27903))
% 178.51/178.27 [2791]~E(x27911,x27912)+E(f335(x27913,x27911),f335(x27913,x27912))
% 178.51/178.27 [2792]~E(x27921,x27922)+E(f745(x27921,x27923,x27924,x27925,x27926),f745(x27922,x27923,x27924,x27925,x27926))
% 178.51/178.27 [2793]~E(x27931,x27932)+E(f745(x27933,x27931,x27934,x27935,x27936),f745(x27933,x27932,x27934,x27935,x27936))
% 178.51/178.27 [2794]~E(x27941,x27942)+E(f745(x27943,x27944,x27941,x27945,x27946),f745(x27943,x27944,x27942,x27945,x27946))
% 178.51/178.27 [2795]~E(x27951,x27952)+E(f745(x27953,x27954,x27955,x27951,x27956),f745(x27953,x27954,x27955,x27952,x27956))
% 178.51/178.27 [2796]~E(x27961,x27962)+E(f745(x27963,x27964,x27965,x27966,x27961),f745(x27963,x27964,x27965,x27966,x27962))
% 178.51/178.27 [2797]~E(x27971,x27972)+E(f770(x27971,x27973,x27974,x27975),f770(x27972,x27973,x27974,x27975))
% 178.51/178.27 [2798]~E(x27981,x27982)+E(f770(x27983,x27981,x27984,x27985),f770(x27983,x27982,x27984,x27985))
% 178.51/178.27 [2799]~E(x27991,x27992)+E(f770(x27993,x27994,x27991,x27995),f770(x27993,x27994,x27992,x27995))
% 178.51/178.27 [2800]~E(x28001,x28002)+E(f770(x28003,x28004,x28005,x28001),f770(x28003,x28004,x28005,x28002))
% 178.51/178.27 [2801]~E(x28011,x28012)+E(f537(x28011,x28013),f537(x28012,x28013))
% 178.51/178.27 [2802]~E(x28021,x28022)+E(f537(x28023,x28021),f537(x28023,x28022))
% 178.51/178.27 [2803]~E(x28031,x28032)+E(f492(x28031,x28033,x28034),f492(x28032,x28033,x28034))
% 178.51/178.27 [2804]~E(x28041,x28042)+E(f492(x28043,x28041,x28044),f492(x28043,x28042,x28044))
% 178.51/178.27 [2805]~E(x28051,x28052)+E(f492(x28053,x28054,x28051),f492(x28053,x28054,x28052))
% 178.51/178.27 [2806]~E(x28061,x28062)+E(f879(x28061,x28063,x28064,x28065,x28066,x28067,x28068),f879(x28062,x28063,x28064,x28065,x28066,x28067,x28068))
% 178.51/178.27 [2807]~E(x28071,x28072)+E(f879(x28073,x28071,x28074,x28075,x28076,x28077,x28078),f879(x28073,x28072,x28074,x28075,x28076,x28077,x28078))
% 178.51/178.27 [2808]~E(x28081,x28082)+E(f879(x28083,x28084,x28081,x28085,x28086,x28087,x28088),f879(x28083,x28084,x28082,x28085,x28086,x28087,x28088))
% 178.51/178.27 [2809]~E(x28091,x28092)+E(f879(x28093,x28094,x28095,x28091,x28096,x28097,x28098),f879(x28093,x28094,x28095,x28092,x28096,x28097,x28098))
% 178.51/178.27 [2810]~E(x28101,x28102)+E(f879(x28103,x28104,x28105,x28106,x28101,x28107,x28108),f879(x28103,x28104,x28105,x28106,x28102,x28107,x28108))
% 178.51/178.27 [2811]~E(x28111,x28112)+E(f879(x28113,x28114,x28115,x28116,x28117,x28111,x28118),f879(x28113,x28114,x28115,x28116,x28117,x28112,x28118))
% 178.51/178.27 [2812]~E(x28121,x28122)+E(f879(x28123,x28124,x28125,x28126,x28127,x28128,x28121),f879(x28123,x28124,x28125,x28126,x28127,x28128,x28122))
% 178.51/178.27 [2813]~E(x28131,x28132)+E(f348(x28131,x28133),f348(x28132,x28133))
% 178.51/178.27 [2814]~E(x28141,x28142)+E(f348(x28143,x28141),f348(x28143,x28142))
% 178.51/178.27 [2815]~E(x28151,x28152)+E(f510(x28151,x28153,x28154,x28155,x28156),f510(x28152,x28153,x28154,x28155,x28156))
% 178.51/178.27 [2816]~E(x28161,x28162)+E(f510(x28163,x28161,x28164,x28165,x28166),f510(x28163,x28162,x28164,x28165,x28166))
% 178.51/178.27 [2817]~E(x28171,x28172)+E(f510(x28173,x28174,x28171,x28175,x28176),f510(x28173,x28174,x28172,x28175,x28176))
% 178.51/178.27 [2818]~E(x28181,x28182)+E(f510(x28183,x28184,x28185,x28181,x28186),f510(x28183,x28184,x28185,x28182,x28186))
% 178.51/178.27 [2819]~E(x28191,x28192)+E(f510(x28193,x28194,x28195,x28196,x28191),f510(x28193,x28194,x28195,x28196,x28192))
% 178.51/178.27 [2820]~E(x28201,x28202)+E(f408(x28201,x28203),f408(x28202,x28203))
% 178.51/178.27 [2821]~E(x28211,x28212)+E(f408(x28213,x28211),f408(x28213,x28212))
% 178.51/178.27 [2822]~E(x28221,x28222)+E(f521(x28221,x28223,x28224,x28225),f521(x28222,x28223,x28224,x28225))
% 178.51/178.27 [2823]~E(x28231,x28232)+E(f521(x28233,x28231,x28234,x28235),f521(x28233,x28232,x28234,x28235))
% 178.51/178.27 [2824]~E(x28241,x28242)+E(f521(x28243,x28244,x28241,x28245),f521(x28243,x28244,x28242,x28245))
% 178.51/178.27 [2825]~E(x28251,x28252)+E(f521(x28253,x28254,x28255,x28251),f521(x28253,x28254,x28255,x28252))
% 178.51/178.27 [2826]~E(x28261,x28262)+E(f222(x28261,x28263,x28264),f222(x28262,x28263,x28264))
% 178.51/178.27 [2827]~E(x28271,x28272)+E(f222(x28273,x28271,x28274),f222(x28273,x28272,x28274))
% 178.51/178.27 [2828]~E(x28281,x28282)+E(f222(x28283,x28284,x28281),f222(x28283,x28284,x28282))
% 178.51/178.27 [2829]~E(x28291,x28292)+E(f343(x28291),f343(x28292))
% 178.51/178.27 [2830]~E(x28301,x28302)+E(f42(x28301),f42(x28302))
% 178.51/178.27 [2831]~E(x28311,x28312)+E(f245(x28311,x28313,x28314,x28315,x28316,x28317),f245(x28312,x28313,x28314,x28315,x28316,x28317))
% 178.51/178.27 [2832]~E(x28321,x28322)+E(f245(x28323,x28321,x28324,x28325,x28326,x28327),f245(x28323,x28322,x28324,x28325,x28326,x28327))
% 178.51/178.27 [2833]~E(x28331,x28332)+E(f245(x28333,x28334,x28331,x28335,x28336,x28337),f245(x28333,x28334,x28332,x28335,x28336,x28337))
% 178.51/178.27 [2834]~E(x28341,x28342)+E(f245(x28343,x28344,x28345,x28341,x28346,x28347),f245(x28343,x28344,x28345,x28342,x28346,x28347))
% 178.51/178.27 [2835]~E(x28351,x28352)+E(f245(x28353,x28354,x28355,x28356,x28351,x28357),f245(x28353,x28354,x28355,x28356,x28352,x28357))
% 178.51/178.27 [2836]~E(x28361,x28362)+E(f245(x28363,x28364,x28365,x28366,x28367,x28361),f245(x28363,x28364,x28365,x28366,x28367,x28362))
% 178.51/178.27 [2837]~E(x28371,x28372)+E(f505(x28371),f505(x28372))
% 178.51/178.27 [2838]~E(x28381,x28382)+E(f541(x28381,x28383),f541(x28382,x28383))
% 178.51/178.27 [2839]~E(x28391,x28392)+E(f541(x28393,x28391),f541(x28393,x28392))
% 178.51/178.27 [2840]~E(x28401,x28402)+E(f567(x28401,x28403,x28404,x28405),f567(x28402,x28403,x28404,x28405))
% 178.51/178.27 [2841]~E(x28411,x28412)+E(f567(x28413,x28411,x28414,x28415),f567(x28413,x28412,x28414,x28415))
% 178.51/178.27 [2842]~E(x28421,x28422)+E(f567(x28423,x28424,x28421,x28425),f567(x28423,x28424,x28422,x28425))
% 178.51/178.27 [2843]~E(x28431,x28432)+E(f567(x28433,x28434,x28435,x28431),f567(x28433,x28434,x28435,x28432))
% 178.51/178.27 [2844]~P1(x28441)+P1(x28442)+~E(x28441,x28442)
% 178.51/178.27 [2845]~P106(x28451)+P106(x28452)+~E(x28451,x28452)
% 178.51/178.27 [2846]P23(x28462,x28463,x28464)+~E(x28461,x28462)+~P23(x28461,x28463,x28464)
% 178.51/178.27 [2847]P23(x28473,x28472,x28474)+~E(x28471,x28472)+~P23(x28473,x28471,x28474)
% 178.51/178.27 [2848]P23(x28483,x28484,x28482)+~E(x28481,x28482)+~P23(x28483,x28484,x28481)
% 178.51/178.27 [2849]~P107(x28491)+P107(x28492)+~E(x28491,x28492)
% 178.51/178.27 [2850]~P119(x28501)+P119(x28502)+~E(x28501,x28502)
% 178.51/178.27 [2851]P37(x28512,x28513)+~E(x28511,x28512)+~P37(x28511,x28513)
% 178.51/178.27 [2852]P37(x28523,x28522)+~E(x28521,x28522)+~P37(x28523,x28521)
% 178.51/178.27 [2853]~P60(x28531)+P60(x28532)+~E(x28531,x28532)
% 178.51/178.27 [2854]~P108(x28541)+P108(x28542)+~E(x28541,x28542)
% 178.51/178.27 [2855]~P61(x28551)+P61(x28552)+~E(x28551,x28552)
% 178.51/178.27 [2856]P147(x28562,x28563,x28564)+~E(x28561,x28562)+~P147(x28561,x28563,x28564)
% 178.51/178.27 [2857]P147(x28573,x28572,x28574)+~E(x28571,x28572)+~P147(x28573,x28571,x28574)
% 178.51/178.27 [2858]P147(x28583,x28584,x28582)+~E(x28581,x28582)+~P147(x28583,x28584,x28581)
% 178.51/178.27 [2859]~P75(x28591)+P75(x28592)+~E(x28591,x28592)
% 178.51/178.27 [2860]~P109(x28601)+P109(x28602)+~E(x28601,x28602)
% 178.51/178.27 [2861]~P99(x28611)+P99(x28612)+~E(x28611,x28612)
% 178.51/178.27 [2862]~P113(x28621)+P113(x28622)+~E(x28621,x28622)
% 178.51/178.27 [2863]~P110(x28631)+P110(x28632)+~E(x28631,x28632)
% 178.51/178.27 [2864]~P120(x28641)+P120(x28642)+~E(x28641,x28642)
% 178.51/178.27 [2865]~P126(x28651)+P126(x28652)+~E(x28651,x28652)
% 178.51/178.27 [2866]~P132(x28661)+P132(x28662)+~E(x28661,x28662)
% 178.51/178.27 [2867]~P2(x28671)+P2(x28672)+~E(x28671,x28672)
% 178.51/178.27 [2868]~P76(x28681)+P76(x28682)+~E(x28681,x28682)
% 178.51/178.27 [2869]P12(x28692,x28693)+~E(x28691,x28692)+~P12(x28691,x28693)
% 178.51/178.27 [2870]P12(x28703,x28702)+~E(x28701,x28702)+~P12(x28703,x28701)
% 178.51/178.27 [2871]~P94(x28711)+P94(x28712)+~E(x28711,x28712)
% 178.51/178.27 [2872]~P78(x28721)+P78(x28722)+~E(x28721,x28722)
% 178.51/178.27 [2873]~P136(x28731)+P136(x28732)+~E(x28731,x28732)
% 178.51/178.27 [2874]~P5(x28741)+P5(x28742)+~E(x28741,x28742)
% 178.51/178.27 [2875]~P79(x28751)+P79(x28752)+~E(x28751,x28752)
% 178.51/178.27 [2876]~P101(x28761)+P101(x28762)+~E(x28761,x28762)
% 178.51/178.27 [2877]~P65(x28771)+P65(x28772)+~E(x28771,x28772)
% 178.51/178.27 [2878]~P87(x28781)+P87(x28782)+~E(x28781,x28782)
% 178.51/178.27 [2879]~P80(x28791)+P80(x28792)+~E(x28791,x28792)
% 178.51/178.27 [2880]~P3(x28801)+P3(x28802)+~E(x28801,x28802)
% 178.51/178.27 [2881]P24(x28812,x28813,x28814,x28815)+~E(x28811,x28812)+~P24(x28811,x28813,x28814,x28815)
% 178.51/178.27 [2882]P24(x28823,x28822,x28824,x28825)+~E(x28821,x28822)+~P24(x28823,x28821,x28824,x28825)
% 178.51/178.27 [2883]P24(x28833,x28834,x28832,x28835)+~E(x28831,x28832)+~P24(x28833,x28834,x28831,x28835)
% 178.51/178.27 [2884]P24(x28843,x28844,x28845,x28842)+~E(x28841,x28842)+~P24(x28843,x28844,x28845,x28841)
% 178.51/178.27 [2885]~P67(x28851)+P67(x28852)+~E(x28851,x28852)
% 178.51/178.27 [2886]~P111(x28861)+P111(x28862)+~E(x28861,x28862)
% 178.51/178.27 [2887]~P68(x28871)+P68(x28872)+~E(x28871,x28872)
% 178.51/178.27 [2888]~P70(x28881)+P70(x28882)+~E(x28881,x28882)
% 178.51/178.27 [2889]~P85(x28891)+P85(x28892)+~E(x28891,x28892)
% 178.51/178.27 [2890]~P102(x28901)+P102(x28902)+~E(x28901,x28902)
% 178.51/178.27 [2891]P34(x28912,x28913,x28914,x28915,x28916)+~E(x28911,x28912)+~P34(x28911,x28913,x28914,x28915,x28916)
% 178.51/178.27 [2892]P34(x28923,x28922,x28924,x28925,x28926)+~E(x28921,x28922)+~P34(x28923,x28921,x28924,x28925,x28926)
% 178.51/178.27 [2893]P34(x28933,x28934,x28932,x28935,x28936)+~E(x28931,x28932)+~P34(x28933,x28934,x28931,x28935,x28936)
% 178.51/178.27 [2894]P34(x28943,x28944,x28945,x28942,x28946)+~E(x28941,x28942)+~P34(x28943,x28944,x28945,x28941,x28946)
% 178.51/178.27 [2895]P34(x28953,x28954,x28955,x28956,x28952)+~E(x28951,x28952)+~P34(x28953,x28954,x28955,x28956,x28951)
% 178.51/178.27 [2896]P35(x28962,x28963,x28964)+~E(x28961,x28962)+~P35(x28961,x28963,x28964)
% 178.51/178.27 [2897]P35(x28973,x28972,x28974)+~E(x28971,x28972)+~P35(x28973,x28971,x28974)
% 178.51/178.27 [2898]P35(x28983,x28984,x28982)+~E(x28981,x28982)+~P35(x28983,x28984,x28981)
% 178.51/178.27 [2899]~P4(x28991)+P4(x28992)+~E(x28991,x28992)
% 178.51/178.27 [2900]~P95(x29001)+P95(x29002)+~E(x29001,x29002)
% 178.51/178.27 [2901]P146(x29012,x29013,x29014)+~E(x29011,x29012)+~P146(x29011,x29013,x29014)
% 178.51/178.27 [2902]P146(x29023,x29022,x29024)+~E(x29021,x29022)+~P146(x29023,x29021,x29024)
% 178.51/178.27 [2903]P146(x29033,x29034,x29032)+~E(x29031,x29032)+~P146(x29033,x29034,x29031)
% 178.51/178.27 [2904]~P83(x29041)+P83(x29042)+~E(x29041,x29042)
% 178.51/178.27 [2905]P17(x29052,x29053,x29054)+~E(x29051,x29052)+~P17(x29051,x29053,x29054)
% 178.51/178.27 [2906]P17(x29063,x29062,x29064)+~E(x29061,x29062)+~P17(x29063,x29061,x29064)
% 178.51/178.27 [2907]P17(x29073,x29074,x29072)+~E(x29071,x29072)+~P17(x29073,x29074,x29071)
% 178.51/178.27 [2908]~P40(x29081)+P40(x29082)+~E(x29081,x29082)
% 178.51/178.27 [2909]~P84(x29091)+P84(x29092)+~E(x29091,x29092)
% 178.51/178.27 [2910]~P90(x29101)+P90(x29102)+~E(x29101,x29102)
% 178.51/178.27 [2911]P6(x29112,x29113)+~E(x29111,x29112)+~P6(x29111,x29113)
% 178.51/178.27 [2912]P6(x29123,x29122)+~E(x29121,x29122)+~P6(x29123,x29121)
% 178.51/178.27 [2913]~P71(x29131)+P71(x29132)+~E(x29131,x29132)
% 178.51/178.27 [2914]~P63(x29141)+P63(x29142)+~E(x29141,x29142)
% 178.51/178.27 [2915]P25(x29152,x29153,x29154,x29155,x29156)+~E(x29151,x29152)+~P25(x29151,x29153,x29154,x29155,x29156)
% 178.51/178.27 [2916]P25(x29163,x29162,x29164,x29165,x29166)+~E(x29161,x29162)+~P25(x29163,x29161,x29164,x29165,x29166)
% 178.51/178.27 [2917]P25(x29173,x29174,x29172,x29175,x29176)+~E(x29171,x29172)+~P25(x29173,x29174,x29171,x29175,x29176)
% 178.51/178.27 [2918]P25(x29183,x29184,x29185,x29182,x29186)+~E(x29181,x29182)+~P25(x29183,x29184,x29185,x29181,x29186)
% 178.51/178.27 [2919]P25(x29193,x29194,x29195,x29196,x29192)+~E(x29191,x29192)+~P25(x29193,x29194,x29195,x29196,x29191)
% 178.51/178.27 [2920]~P72(x29201)+P72(x29202)+~E(x29201,x29202)
% 178.51/178.27 [2921]~P62(x29211)+P62(x29212)+~E(x29211,x29212)
% 178.51/178.27 [2922]P21(x29222,x29223,x29224,x29225,x29226,x29227)+~E(x29221,x29222)+~P21(x29221,x29223,x29224,x29225,x29226,x29227)
% 178.51/178.27 [2923]P21(x29233,x29232,x29234,x29235,x29236,x29237)+~E(x29231,x29232)+~P21(x29233,x29231,x29234,x29235,x29236,x29237)
% 178.51/178.27 [2924]P21(x29243,x29244,x29242,x29245,x29246,x29247)+~E(x29241,x29242)+~P21(x29243,x29244,x29241,x29245,x29246,x29247)
% 178.51/178.27 [2925]P21(x29253,x29254,x29255,x29252,x29256,x29257)+~E(x29251,x29252)+~P21(x29253,x29254,x29255,x29251,x29256,x29257)
% 178.51/178.27 [2926]P21(x29263,x29264,x29265,x29266,x29262,x29267)+~E(x29261,x29262)+~P21(x29263,x29264,x29265,x29266,x29261,x29267)
% 178.51/178.27 [2927]P21(x29273,x29274,x29275,x29276,x29277,x29272)+~E(x29271,x29272)+~P21(x29273,x29274,x29275,x29276,x29277,x29271)
% 178.51/178.27 [2928]~P69(x29281)+P69(x29282)+~E(x29281,x29282)
% 178.51/178.27 [2929]P31(x29292,x29293,x29294)+~E(x29291,x29292)+~P31(x29291,x29293,x29294)
% 178.51/178.27 [2930]P31(x29303,x29302,x29304)+~E(x29301,x29302)+~P31(x29303,x29301,x29304)
% 178.51/178.27 [2931]P31(x29313,x29314,x29312)+~E(x29311,x29312)+~P31(x29313,x29314,x29311)
% 178.51/178.27 [2932]~P125(x29321)+P125(x29322)+~E(x29321,x29322)
% 178.51/178.27 [2933]~P89(x29331)+P89(x29332)+~E(x29331,x29332)
% 178.51/178.27 [2934]~P144(x29341)+P144(x29342)+~E(x29341,x29342)
% 178.51/178.27 [2935]~P141(x29351)+P141(x29352)+~E(x29351,x29352)
% 178.51/178.27 [2936]~P86(x29361)+P86(x29362)+~E(x29361,x29362)
% 178.51/178.27 [2937]P29(x29372,x29373,x29374)+~E(x29371,x29372)+~P29(x29371,x29373,x29374)
% 178.51/178.27 [2938]P29(x29383,x29382,x29384)+~E(x29381,x29382)+~P29(x29383,x29381,x29384)
% 178.51/178.27 [2939]P29(x29393,x29394,x29392)+~E(x29391,x29392)+~P29(x29393,x29394,x29391)
% 178.51/178.27 [2940]P14(x29402,x29403)+~E(x29401,x29402)+~P14(x29401,x29403)
% 178.51/178.27 [2941]P14(x29413,x29412)+~E(x29411,x29412)+~P14(x29413,x29411)
% 178.51/178.27 [2942]~P74(x29421)+P74(x29422)+~E(x29421,x29422)
% 178.51/178.27 [2943]~P112(x29431)+P112(x29432)+~E(x29431,x29432)
% 178.51/178.27 [2944]P15(x29442,x29443,x29444)+~E(x29441,x29442)+~P15(x29441,x29443,x29444)
% 178.51/178.27 [2945]P15(x29453,x29452,x29454)+~E(x29451,x29452)+~P15(x29453,x29451,x29454)
% 178.51/178.27 [2946]P15(x29463,x29464,x29462)+~E(x29461,x29462)+~P15(x29463,x29464,x29461)
% 178.51/178.27 [2947]P58(x29472,x29473,x29474,x29475)+~E(x29471,x29472)+~P58(x29471,x29473,x29474,x29475)
% 178.51/178.27 [2948]P58(x29483,x29482,x29484,x29485)+~E(x29481,x29482)+~P58(x29483,x29481,x29484,x29485)
% 178.51/178.27 [2949]P58(x29493,x29494,x29492,x29495)+~E(x29491,x29492)+~P58(x29493,x29494,x29491,x29495)
% 178.51/178.27 [2950]P58(x29503,x29504,x29505,x29502)+~E(x29501,x29502)+~P58(x29503,x29504,x29505,x29501)
% 178.51/178.27 [2951]~P66(x29511)+P66(x29512)+~E(x29511,x29512)
% 178.51/178.27 [2952]~P138(x29521)+P138(x29522)+~E(x29521,x29522)
% 178.51/178.27 [2953]P33(x29532,x29533,x29534)+~E(x29531,x29532)+~P33(x29531,x29533,x29534)
% 178.51/178.27 [2954]P33(x29543,x29542,x29544)+~E(x29541,x29542)+~P33(x29543,x29541,x29544)
% 178.51/178.27 [2955]P33(x29553,x29554,x29552)+~E(x29551,x29552)+~P33(x29553,x29554,x29551)
% 178.51/178.27 [2956]P57(x29562,x29563)+~E(x29561,x29562)+~P57(x29561,x29563)
% 178.51/178.27 [2957]P57(x29573,x29572)+~E(x29571,x29572)+~P57(x29573,x29571)
% 178.51/178.27 [2958]~P139(x29581)+P139(x29582)+~E(x29581,x29582)
% 178.51/178.27 [2959]P38(x29592,x29593)+~E(x29591,x29592)+~P38(x29591,x29593)
% 178.51/178.27 [2960]P38(x29603,x29602)+~E(x29601,x29602)+~P38(x29603,x29601)
% 178.51/178.27 [2961]P26(x29612,x29613)+~E(x29611,x29612)+~P26(x29611,x29613)
% 178.51/178.27 [2962]P26(x29623,x29622)+~E(x29621,x29622)+~P26(x29623,x29621)
% 178.51/178.27 [2963]~P114(x29631)+P114(x29632)+~E(x29631,x29632)
% 178.51/178.27 [2964]P11(x29642,x29643,x29644,x29645,x29646,x29647)+~E(x29641,x29642)+~P11(x29641,x29643,x29644,x29645,x29646,x29647)
% 178.51/178.27 [2965]P11(x29653,x29652,x29654,x29655,x29656,x29657)+~E(x29651,x29652)+~P11(x29653,x29651,x29654,x29655,x29656,x29657)
% 178.51/178.27 [2966]P11(x29663,x29664,x29662,x29665,x29666,x29667)+~E(x29661,x29662)+~P11(x29663,x29664,x29661,x29665,x29666,x29667)
% 178.51/178.27 [2967]P11(x29673,x29674,x29675,x29672,x29676,x29677)+~E(x29671,x29672)+~P11(x29673,x29674,x29675,x29671,x29676,x29677)
% 178.51/178.27 [2968]P11(x29683,x29684,x29685,x29686,x29682,x29687)+~E(x29681,x29682)+~P11(x29683,x29684,x29685,x29686,x29681,x29687)
% 178.51/178.27 [2969]P11(x29693,x29694,x29695,x29696,x29697,x29692)+~E(x29691,x29692)+~P11(x29693,x29694,x29695,x29696,x29697,x29691)
% 178.51/178.27 [2970]P50(x29702,x29703)+~E(x29701,x29702)+~P50(x29701,x29703)
% 178.51/178.27 [2971]P50(x29713,x29712)+~E(x29711,x29712)+~P50(x29713,x29711)
% 178.51/178.27 [2972]P7(x29722,x29723,x29724)+~E(x29721,x29722)+~P7(x29721,x29723,x29724)
% 178.51/178.27 [2973]P7(x29733,x29732,x29734)+~E(x29731,x29732)+~P7(x29733,x29731,x29734)
% 178.51/178.27 [2974]P7(x29743,x29744,x29742)+~E(x29741,x29742)+~P7(x29743,x29744,x29741)
% 178.51/178.27 [2975]P56(x29752,x29753,x29754,x29755,x29756)+~E(x29751,x29752)+~P56(x29751,x29753,x29754,x29755,x29756)
% 178.51/178.27 [2976]P56(x29763,x29762,x29764,x29765,x29766)+~E(x29761,x29762)+~P56(x29763,x29761,x29764,x29765,x29766)
% 178.51/178.27 [2977]P56(x29773,x29774,x29772,x29775,x29776)+~E(x29771,x29772)+~P56(x29773,x29774,x29771,x29775,x29776)
% 178.51/178.27 [2978]P56(x29783,x29784,x29785,x29782,x29786)+~E(x29781,x29782)+~P56(x29783,x29784,x29785,x29781,x29786)
% 178.51/178.27 [2979]P56(x29793,x29794,x29795,x29796,x29792)+~E(x29791,x29792)+~P56(x29793,x29794,x29795,x29796,x29791)
% 178.51/178.27 [2980]P46(x29802,x29803)+~E(x29801,x29802)+~P46(x29801,x29803)
% 178.51/178.27 [2981]P46(x29813,x29812)+~E(x29811,x29812)+~P46(x29813,x29811)
% 178.51/178.27 [2982]~P145(x29821)+P145(x29822)+~E(x29821,x29822)
% 178.51/178.27 [2983]~P81(x29831)+P81(x29832)+~E(x29831,x29832)
% 178.51/178.27 [2984]~P123(x29841)+P123(x29842)+~E(x29841,x29842)
% 178.51/178.27 [2985]P51(x29852,x29853)+~E(x29851,x29852)+~P51(x29851,x29853)
% 178.51/178.27 [2986]P51(x29863,x29862)+~E(x29861,x29862)+~P51(x29863,x29861)
% 178.51/178.27 [2987]~P82(x29871)+P82(x29872)+~E(x29871,x29872)
% 178.51/178.27 [2988]~P127(x29881)+P127(x29882)+~E(x29881,x29882)
% 178.51/178.27 [2989]~P115(x29891)+P115(x29892)+~E(x29891,x29892)
% 178.51/178.27 [2990]P52(x29902,x29903,x29904)+~E(x29901,x29902)+~P52(x29901,x29903,x29904)
% 178.51/178.27 [2991]P52(x29913,x29912,x29914)+~E(x29911,x29912)+~P52(x29913,x29911,x29914)
% 178.51/178.27 [2992]P52(x29923,x29924,x29922)+~E(x29921,x29922)+~P52(x29923,x29924,x29921)
% 178.51/178.27 [2993]~P64(x29931)+P64(x29932)+~E(x29931,x29932)
% 178.51/178.27 [2994]P30(x29942,x29943,x29944)+~E(x29941,x29942)+~P30(x29941,x29943,x29944)
% 178.51/178.27 [2995]P30(x29953,x29952,x29954)+~E(x29951,x29952)+~P30(x29953,x29951,x29954)
% 178.51/178.27 [2996]P30(x29963,x29964,x29962)+~E(x29961,x29962)+~P30(x29963,x29964,x29961)
% 178.51/178.27 [2997]~P128(x29971)+P128(x29972)+~E(x29971,x29972)
% 178.51/178.27 [2998]~P88(x29981)+P88(x29982)+~E(x29981,x29982)
% 178.51/178.27 [2999]~P117(x29991)+P117(x29992)+~E(x29991,x29992)
% 178.51/178.27 [3000]~P124(x30001)+P124(x30002)+~E(x30001,x30002)
% 178.51/178.27 [3001]P59(x30012,x30013)+~E(x30011,x30012)+~P59(x30011,x30013)
% 178.51/178.27 [3002]P59(x30023,x30022)+~E(x30021,x30022)+~P59(x30023,x30021)
% 178.51/178.27 [3003]P39(x30032,x30033)+~E(x30031,x30032)+~P39(x30031,x30033)
% 178.51/178.27 [3004]P39(x30043,x30042)+~E(x30041,x30042)+~P39(x30043,x30041)
% 178.51/178.27 [3005]P55(x30052,x30053,x30054)+~E(x30051,x30052)+~P55(x30051,x30053,x30054)
% 178.51/178.27 [3006]P55(x30063,x30062,x30064)+~E(x30061,x30062)+~P55(x30063,x30061,x30064)
% 178.51/178.27 [3007]P55(x30073,x30074,x30072)+~E(x30071,x30072)+~P55(x30073,x30074,x30071)
% 178.51/178.27 [3008]~P137(x30081)+P137(x30082)+~E(x30081,x30082)
% 178.51/178.27 [3009]~P131(x30091)+P131(x30092)+~E(x30091,x30092)
% 178.51/178.27 [3010]P27(x30102,x30103)+~E(x30101,x30102)+~P27(x30101,x30103)
% 178.51/178.27 [3011]P27(x30113,x30112)+~E(x30111,x30112)+~P27(x30113,x30111)
% 178.51/178.27 [3012]P22(x30122,x30123,x30124,x30125,x30126,x30127)+~E(x30121,x30122)+~P22(x30121,x30123,x30124,x30125,x30126,x30127)
% 178.51/178.27 [3013]P22(x30133,x30132,x30134,x30135,x30136,x30137)+~E(x30131,x30132)+~P22(x30133,x30131,x30134,x30135,x30136,x30137)
% 178.51/178.27 [3014]P22(x30143,x30144,x30142,x30145,x30146,x30147)+~E(x30141,x30142)+~P22(x30143,x30144,x30141,x30145,x30146,x30147)
% 178.51/178.27 [3015]P22(x30153,x30154,x30155,x30152,x30156,x30157)+~E(x30151,x30152)+~P22(x30153,x30154,x30155,x30151,x30156,x30157)
% 178.51/178.27 [3016]P22(x30163,x30164,x30165,x30166,x30162,x30167)+~E(x30161,x30162)+~P22(x30163,x30164,x30165,x30166,x30161,x30167)
% 178.51/178.27 [3017]P22(x30173,x30174,x30175,x30176,x30177,x30172)+~E(x30171,x30172)+~P22(x30173,x30174,x30175,x30176,x30177,x30171)
% 178.51/178.27 [3018]~P140(x30181)+P140(x30182)+~E(x30181,x30182)
% 178.51/178.27 [3019]~P133(x30191)+P133(x30192)+~E(x30191,x30192)
% 178.51/178.27 [3020]P20(x30202,x30203,x30204,x30205,x30206)+~E(x30201,x30202)+~P20(x30201,x30203,x30204,x30205,x30206)
% 178.51/178.27 [3021]P20(x30213,x30212,x30214,x30215,x30216)+~E(x30211,x30212)+~P20(x30213,x30211,x30214,x30215,x30216)
% 178.51/178.27 [3022]P20(x30223,x30224,x30222,x30225,x30226)+~E(x30221,x30222)+~P20(x30223,x30224,x30221,x30225,x30226)
% 178.51/178.27 [3023]P20(x30233,x30234,x30235,x30232,x30236)+~E(x30231,x30232)+~P20(x30233,x30234,x30235,x30231,x30236)
% 178.51/178.27 [3024]P20(x30243,x30244,x30245,x30246,x30242)+~E(x30241,x30242)+~P20(x30243,x30244,x30245,x30246,x30241)
% 178.51/178.27 [3025]~P129(x30251)+P129(x30252)+~E(x30251,x30252)
% 178.51/178.27 [3026]~P143(x30261)+P143(x30262)+~E(x30261,x30262)
% 178.51/178.27 [3027]~P100(x30271)+P100(x30272)+~E(x30271,x30272)
% 178.51/178.27 [3028]P18(x30282,x30283,x30284,x30285)+~E(x30281,x30282)+~P18(x30281,x30283,x30284,x30285)
% 178.51/178.27 [3029]P18(x30293,x30292,x30294,x30295)+~E(x30291,x30292)+~P18(x30293,x30291,x30294,x30295)
% 178.51/178.27 [3030]P18(x30303,x30304,x30302,x30305)+~E(x30301,x30302)+~P18(x30303,x30304,x30301,x30305)
% 178.51/178.27 [3031]P18(x30313,x30314,x30315,x30312)+~E(x30311,x30312)+~P18(x30313,x30314,x30315,x30311)
% 178.51/178.27 [3032]P13(x30322,x30323,x30324)+~E(x30321,x30322)+~P13(x30321,x30323,x30324)
% 178.51/178.27 [3033]P13(x30333,x30332,x30334)+~E(x30331,x30332)+~P13(x30333,x30331,x30334)
% 178.51/178.27 [3034]P13(x30343,x30344,x30342)+~E(x30341,x30342)+~P13(x30343,x30344,x30341)
% 178.51/178.27 [3035]~P142(x30351)+P142(x30352)+~E(x30351,x30352)
% 178.51/178.27 [3036]P42(x30362,x30363,x30364,x30365,x30366,x30367)+~E(x30361,x30362)+~P42(x30361,x30363,x30364,x30365,x30366,x30367)
% 178.51/178.27 [3037]P42(x30373,x30372,x30374,x30375,x30376,x30377)+~E(x30371,x30372)+~P42(x30373,x30371,x30374,x30375,x30376,x30377)
% 178.51/178.27 [3038]P42(x30383,x30384,x30382,x30385,x30386,x30387)+~E(x30381,x30382)+~P42(x30383,x30384,x30381,x30385,x30386,x30387)
% 178.51/178.27 [3039]P42(x30393,x30394,x30395,x30392,x30396,x30397)+~E(x30391,x30392)+~P42(x30393,x30394,x30395,x30391,x30396,x30397)
% 178.51/178.27 [3040]P42(x30403,x30404,x30405,x30406,x30402,x30407)+~E(x30401,x30402)+~P42(x30403,x30404,x30405,x30406,x30401,x30407)
% 178.51/178.27 [3041]P42(x30413,x30414,x30415,x30416,x30417,x30412)+~E(x30411,x30412)+~P42(x30413,x30414,x30415,x30416,x30417,x30411)
% 178.51/178.27 [3042]~P134(x30421)+P134(x30422)+~E(x30421,x30422)
% 178.51/178.27 [3043]~P93(x30431)+P93(x30432)+~E(x30431,x30432)
% 178.51/178.27 [3044]~P122(x30441)+P122(x30442)+~E(x30441,x30442)
% 178.51/178.27 [3045]~P36(x30451)+P36(x30452)+~E(x30451,x30452)
% 178.51/178.27 [3046]P53(x30462,x30463)+~E(x30461,x30462)+~P53(x30461,x30463)
% 178.51/178.27 [3047]P53(x30473,x30472)+~E(x30471,x30472)+~P53(x30473,x30471)
% 178.51/178.27 [3048]P9(x30482,x30483,x30484,x30485,x30486)+~E(x30481,x30482)+~P9(x30481,x30483,x30484,x30485,x30486)
% 178.51/178.27 [3049]P9(x30493,x30492,x30494,x30495,x30496)+~E(x30491,x30492)+~P9(x30493,x30491,x30494,x30495,x30496)
% 178.51/178.27 [3050]P9(x30503,x30504,x30502,x30505,x30506)+~E(x30501,x30502)+~P9(x30503,x30504,x30501,x30505,x30506)
% 178.51/178.27 [3051]P9(x30513,x30514,x30515,x30512,x30516)+~E(x30511,x30512)+~P9(x30513,x30514,x30515,x30511,x30516)
% 178.51/178.27 [3052]P9(x30523,x30524,x30525,x30526,x30522)+~E(x30521,x30522)+~P9(x30523,x30524,x30525,x30526,x30521)
% 178.51/178.27 [3053]~P135(x30531)+P135(x30532)+~E(x30531,x30532)
% 178.51/178.27 [3054]P49(x30542,x30543)+~E(x30541,x30542)+~P49(x30541,x30543)
% 178.51/178.27 [3055]P49(x30553,x30552)+~E(x30551,x30552)+~P49(x30553,x30551)
% 178.51/178.27 [3056]P16(x30562,x30563,x30564)+~E(x30561,x30562)+~P16(x30561,x30563,x30564)
% 178.51/178.27 [3057]P16(x30573,x30572,x30574)+~E(x30571,x30572)+~P16(x30573,x30571,x30574)
% 178.51/178.27 [3058]P16(x30583,x30584,x30582)+~E(x30581,x30582)+~P16(x30583,x30584,x30581)
% 178.51/178.27 [3059]~P96(x30591)+P96(x30592)+~E(x30591,x30592)
% 178.51/178.27 [3060]~P104(x30601)+P104(x30602)+~E(x30601,x30602)
% 178.51/178.27 [3061]P19(x30612,x30613,x30614,x30615)+~E(x30611,x30612)+~P19(x30611,x30613,x30614,x30615)
% 178.51/178.27 [3062]P19(x30623,x30622,x30624,x30625)+~E(x30621,x30622)+~P19(x30623,x30621,x30624,x30625)
% 178.51/178.27 [3063]P19(x30633,x30634,x30632,x30635)+~E(x30631,x30632)+~P19(x30633,x30634,x30631,x30635)
% 178.51/178.27 [3064]P19(x30643,x30644,x30645,x30642)+~E(x30641,x30642)+~P19(x30643,x30644,x30645,x30641)
% 178.51/178.27 [3065]~P116(x30651)+P116(x30652)+~E(x30651,x30652)
% 178.51/178.27 [3066]P54(x30662,x30663,x30664)+~E(x30661,x30662)+~P54(x30661,x30663,x30664)
% 178.51/178.27 [3067]P54(x30673,x30672,x30674)+~E(x30671,x30672)+~P54(x30673,x30671,x30674)
% 178.51/178.27 [3068]P54(x30683,x30684,x30682)+~E(x30681,x30682)+~P54(x30683,x30684,x30681)
% 178.51/178.27 [3069]P44(x30692,x30693)+~E(x30691,x30692)+~P44(x30691,x30693)
% 178.51/178.27 [3070]P44(x30703,x30702)+~E(x30701,x30702)+~P44(x30703,x30701)
% 178.51/178.27 [3071]P32(x30712,x30713,x30714,x30715)+~E(x30711,x30712)+~P32(x30711,x30713,x30714,x30715)
% 178.51/178.27 [3072]P32(x30723,x30722,x30724,x30725)+~E(x30721,x30722)+~P32(x30723,x30721,x30724,x30725)
% 178.51/178.27 [3073]P32(x30733,x30734,x30732,x30735)+~E(x30731,x30732)+~P32(x30733,x30734,x30731,x30735)
% 178.51/178.27 [3074]P32(x30743,x30744,x30745,x30742)+~E(x30741,x30742)+~P32(x30743,x30744,x30745,x30741)
% 178.51/178.27 [3075]~P97(x30751)+P97(x30752)+~E(x30751,x30752)
% 178.51/178.27 [3076]P43(x30762,x30763)+~E(x30761,x30762)+~P43(x30761,x30763)
% 178.51/178.27 [3077]P43(x30773,x30772)+~E(x30771,x30772)+~P43(x30773,x30771)
% 178.51/178.27 [3078]~P92(x30781)+P92(x30782)+~E(x30781,x30782)
% 178.51/178.27 [3079]P10(x30792,x30793,x30794,x30795)+~E(x30791,x30792)+~P10(x30791,x30793,x30794,x30795)
% 178.51/178.27 [3080]P10(x30803,x30802,x30804,x30805)+~E(x30801,x30802)+~P10(x30803,x30801,x30804,x30805)
% 178.51/178.27 [3081]P10(x30813,x30814,x30812,x30815)+~E(x30811,x30812)+~P10(x30813,x30814,x30811,x30815)
% 178.51/178.27 [3082]P10(x30823,x30824,x30825,x30822)+~E(x30821,x30822)+~P10(x30823,x30824,x30825,x30821)
% 178.51/178.27 [3083]~P130(x30831)+P130(x30832)+~E(x30831,x30832)
% 178.51/178.27 [3084]~P91(x30841)+P91(x30842)+~E(x30841,x30842)
% 178.51/178.27 [3085]P48(x30852,x30853,x30854)+~E(x30851,x30852)+~P48(x30851,x30853,x30854)
% 178.51/178.27 [3086]P48(x30863,x30862,x30864)+~E(x30861,x30862)+~P48(x30863,x30861,x30864)
% 178.51/178.27 [3087]P48(x30873,x30874,x30872)+~E(x30871,x30872)+~P48(x30873,x30874,x30871)
% 178.51/178.27 [3088]~P105(x30881)+P105(x30882)+~E(x30881,x30882)
% 178.51/178.27 [3089]~P121(x30891)+P121(x30892)+~E(x30891,x30892)
% 178.51/178.27 [3090]~P45(x30901)+P45(x30902)+~E(x30901,x30902)
% 178.51/178.27 [3091]~P73(x30911)+P73(x30912)+~E(x30911,x30912)
% 178.51/178.27 [3092]~P103(x30921)+P103(x30922)+~E(x30921,x30922)
% 178.51/178.27 [3093]~P77(x30931)+P77(x30932)+~E(x30931,x30932)
% 178.51/178.27 [3094]~P98(x30941)+P98(x30942)+~E(x30941,x30942)
% 178.51/178.27 [3095]P41(x30952,x30953,x30954,x30955)+~E(x30951,x30952)+~P41(x30951,x30953,x30954,x30955)
% 178.51/178.27 [3096]P41(x30963,x30962,x30964,x30965)+~E(x30961,x30962)+~P41(x30963,x30961,x30964,x30965)
% 178.51/178.27 [3097]P41(x30973,x30974,x30972,x30975)+~E(x30971,x30972)+~P41(x30973,x30974,x30971,x30975)
% 178.51/178.27 [3098]P41(x30983,x30984,x30985,x30982)+~E(x30981,x30982)+~P41(x30983,x30984,x30985,x30981)
% 178.51/178.27 [3099]P47(x30992,x30993,x30994)+~E(x30991,x30992)+~P47(x30991,x30993,x30994)
% 178.51/178.27 [3100]P47(x31003,x31002,x31004)+~E(x31001,x31002)+~P47(x31003,x31001,x31004)
% 178.51/178.27 [3101]P47(x31013,x31014,x31012)+~E(x31011,x31012)+~P47(x31013,x31014,x31011)
% 178.51/178.27 [3102]~P118(x31021)+P118(x31022)+~E(x31021,x31022)
% 178.51/178.27 [3103]P28(x31032,x31033,x31034)+~E(x31031,x31032)+~P28(x31031,x31033,x31034)
% 178.51/178.27 [3104]P28(x31043,x31042,x31044)+~E(x31041,x31042)+~P28(x31043,x31041,x31044)
% 178.51/178.27 [3105]P28(x31053,x31054,x31052)+~E(x31051,x31052)+~P28(x31053,x31054,x31051)
% 178.51/178.27 [3106]P8(x31062,x31063,x31064)+~E(x31061,x31062)+~P8(x31061,x31063,x31064)
% 178.51/178.27 [3107]P8(x31073,x31072,x31074)+~E(x31071,x31072)+~P8(x31073,x31071,x31074)
% 178.51/178.27 [3108]P8(x31083,x31084,x31082)+~E(x31081,x31082)+~P8(x31083,x31084,x31081)
% 178.51/178.27
% 178.51/178.27 %-------------------------------------------
% 178.51/178.33 cnf(10449,plain,
% 178.51/178.33 (~E(f326(a112,x104491),x104491)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(10459,plain,
% 178.51/178.33 (~E(f326(a112,x104591),x104591)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(10472,plain,
% 178.51/178.33 (~E(f326(a112,x104721),x104721)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(10477,plain,
% 178.51/178.33 (~P106(f326(f326(f172(x104771),f113(x104771)),x104772))),
% 178.51/178.33 inference(rename_variables,[],[4720])).
% 178.51/178.33 cnf(10480,plain,
% 178.51/178.33 (~P106(f326(f326(f172(x104801),f113(x104801)),x104802))),
% 178.51/178.33 inference(rename_variables,[],[4720])).
% 178.51/178.33 cnf(10483,plain,
% 178.51/178.33 (~E(f326(a112,x104831),x104831)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(10486,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),x104861),f2(a914)))),
% 178.51/178.33 inference(rename_variables,[],[4715])).
% 178.51/178.33 cnf(10489,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),x104891),f2(a914)))),
% 178.51/178.33 inference(rename_variables,[],[4715])).
% 178.51/178.33 cnf(10502,plain,
% 178.51/178.33 (~P106(f326(f188(f922(x105021,a910)),x105022))),
% 178.51/178.33 inference(scs_inference,[],[4660,10449,10459,10472,3298,3340,3401,3336,3347,3487,4715,10486,4712,4674,4720,10477,4718,3480,4704,4737,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221])).
% 178.51/178.33 cnf(10506,plain,
% 178.51/178.33 (~P106(f326(f326(f234(a914),f326(a112,x105061)),x105061))),
% 178.51/178.33 inference(rename_variables,[],[4721])).
% 178.51/178.33 cnf(10509,plain,
% 178.51/178.33 (~E(f326(f326(f151(x105091),x105092),x105093),x105093)),
% 178.51/178.33 inference(rename_variables,[],[4679])).
% 178.51/178.33 cnf(10515,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),x105151),f2(a914)))),
% 178.51/178.33 inference(rename_variables,[],[4715])).
% 178.51/178.33 cnf(10517,plain,
% 178.51/178.33 (E(f45(a914,f326(f283(x105171,x105171),f262(x105171,f326(f326(f80(a914),x105172),x105173))),x105172),f2(a914))),
% 178.51/178.33 inference(scs_inference,[],[4660,10449,10459,10472,3298,3464,3340,3401,3336,3363,3347,4679,3487,4715,10486,10489,4712,4674,4720,10477,4721,4718,3480,4704,4737,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248])).
% 178.51/178.33 cnf(10518,plain,
% 178.51/178.33 (E(f326(f283(x105181,x105181),f262(x105181,x105182)),x105182)),
% 178.51/178.33 inference(rename_variables,[],[3464])).
% 178.51/178.33 cnf(10521,plain,
% 178.51/178.33 (E(f326(f283(x105211,x105211),f262(x105211,x105212)),x105212)),
% 178.51/178.33 inference(rename_variables,[],[3464])).
% 178.51/178.33 cnf(10526,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),x105261),x105261))),
% 178.51/178.33 inference(rename_variables,[],[4711])).
% 178.51/178.33 cnf(10528,plain,
% 178.51/178.33 (~P106(f326(a193,a82))),
% 178.51/178.33 inference(scs_inference,[],[4660,10449,10459,10472,3298,3464,10518,3340,3401,3336,3363,3347,4679,3487,4715,10486,10489,4712,4674,4720,10477,4711,4721,4718,3480,4704,4737,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300])).
% 178.51/178.33 cnf(10531,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),f326(f326(f79(a914),x105311),x105312)),x105312))),
% 178.51/178.33 inference(rename_variables,[],[4735])).
% 178.51/178.33 cnf(10534,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),f326(f326(f79(a914),x105341),x105342)),x105342))),
% 178.51/178.33 inference(rename_variables,[],[4735])).
% 178.51/178.33 cnf(10541,plain,
% 178.51/178.33 (~E(x105411,f326(a112,x105411))),
% 178.51/178.33 inference(scs_inference,[],[4660,10449,10459,10472,3298,3464,10518,3340,3401,3336,3363,3347,4679,3571,3487,4715,10486,10489,4712,4674,4720,10477,4711,4721,4323,4718,3480,4704,4737,4735,10531,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358])).
% 178.51/178.33 cnf(10555,plain,
% 178.51/178.33 (~E(f326(a112,x105551),x105551)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(10558,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),x105581),x105581))),
% 178.51/178.33 inference(rename_variables,[],[4711])).
% 178.51/178.33 cnf(10561,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),f45(a914,x105611,x105612)),x105611))),
% 178.51/178.33 inference(rename_variables,[],[3959])).
% 178.51/178.33 cnf(10582,plain,
% 178.51/178.33 (E(f326(f35(a914),f326(f281(a914),x105821)),x105821)),
% 178.51/178.33 inference(rename_variables,[],[3398])).
% 178.51/178.33 cnf(10590,plain,
% 178.51/178.33 (~E(f326(a112,x105901),x105901)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(10593,plain,
% 178.51/178.33 (~E(f326(a112,x105931),x105931)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(10596,plain,
% 178.51/178.33 (~E(f326(a112,x105961),x105961)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(10598,plain,
% 178.51/178.33 (P106(f326(a193,a97))),
% 178.51/178.33 inference(scs_inference,[],[4660,10449,10459,10472,10483,10555,10590,10593,3298,3464,10518,3340,3401,3336,3363,3347,3434,4679,3398,4741,3419,3571,3487,4715,10486,10489,4088,3506,4712,4674,4720,10477,4711,10526,10558,3596,4022,3959,4721,10506,4323,4718,4703,3480,4704,4737,4735,10531,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502])).
% 178.51/178.33 cnf(10601,plain,
% 178.51/178.33 (P106(f326(f326(f235(a914),x106011),f326(a112,x106011)))),
% 178.51/178.33 inference(rename_variables,[],[3571])).
% 178.51/178.33 cnf(10610,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),x106101),x106101))),
% 178.51/178.33 inference(rename_variables,[],[3503])).
% 178.51/178.33 cnf(10617,plain,
% 178.51/178.33 (E(f326(f283(x106171,x106171),f262(x106171,x106172)),x106172)),
% 178.51/178.33 inference(rename_variables,[],[3464])).
% 178.51/178.33 cnf(10620,plain,
% 178.51/178.33 (E(f326(f283(x106201,x106201),f262(x106201,x106202)),x106202)),
% 178.51/178.33 inference(rename_variables,[],[3464])).
% 178.51/178.33 cnf(10637,plain,
% 178.51/178.33 (P106(f326(f326(f234(a1),x106371),x106371))),
% 178.51/178.33 inference(rename_variables,[],[3504])).
% 178.51/178.33 cnf(10642,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),x106421),f2(a914)))),
% 178.51/178.33 inference(rename_variables,[],[4715])).
% 178.51/178.33 cnf(10645,plain,
% 178.51/178.33 (P106(f326(f326(f234(f922(x106451,a910)),x106452),f241(f922(x106451,a910))))),
% 178.51/178.33 inference(rename_variables,[],[3884])).
% 178.51/178.33 cnf(10650,plain,
% 178.51/178.33 (~P106(f326(f326(f172(x106501),f113(x106501)),x106502))),
% 178.51/178.33 inference(rename_variables,[],[4720])).
% 178.51/178.33 cnf(10656,plain,
% 178.51/178.33 (E(f326(f326(f79(a914),x106561),f672(x106561,x106561)),x106561)),
% 178.51/178.33 inference(scs_inference,[],[4660,10449,10459,10472,10483,10555,10590,10593,3298,3464,10518,10521,10617,3340,3401,3336,3363,3347,3434,4679,3398,4282,4741,3419,3571,10601,3487,4715,10486,10489,10515,3941,4088,3532,3506,4712,4674,4720,10477,10480,4232,3884,3503,10610,3504,4711,10526,10558,3596,4022,3959,10561,4721,10506,4323,4718,4703,3480,4704,4737,3982,4735,10531,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647])).
% 178.51/178.33 cnf(10679,plain,
% 178.51/178.33 (~E(f326(f326(f151(x106791),x106792),x106793),x106793)),
% 178.51/178.33 inference(rename_variables,[],[4679])).
% 178.51/178.33 cnf(10682,plain,
% 178.51/178.33 (~E(f326(a112,x106821),f2(a914))),
% 178.51/178.33 inference(rename_variables,[],[4670])).
% 178.51/178.33 cnf(10693,plain,
% 178.51/178.33 (P106(f326(f326(f234(a1),x106931),x106931))),
% 178.51/178.33 inference(rename_variables,[],[3504])).
% 178.51/178.33 cnf(10698,plain,
% 178.51/178.33 (~E(f326(a112,x106981),x106981)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(10701,plain,
% 178.51/178.33 (~P106(f326(f326(f188(f922(x107011,f922(x107012,a910))),x107013),x107014))),
% 178.51/178.33 inference(rename_variables,[],[4738])).
% 178.51/178.33 cnf(10708,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),x107081),x107081))),
% 178.51/178.33 inference(rename_variables,[],[3503])).
% 178.51/178.33 cnf(10721,plain,
% 178.51/178.33 (P106(f326(f326(f235(a914),x107211),f326(a112,x107211)))),
% 178.51/178.33 inference(rename_variables,[],[3571])).
% 178.51/178.33 cnf(10742,plain,
% 178.51/178.33 (P106(f326(f326(f234(f922(x107421,a910)),x107422),f241(f922(x107421,a910))))),
% 178.51/178.33 inference(rename_variables,[],[3884])).
% 178.51/178.33 cnf(10745,plain,
% 178.51/178.33 (~P106(f326(f326(f172(x107451),f113(x107451)),x107452))),
% 178.51/178.33 inference(rename_variables,[],[4720])).
% 178.51/178.33 cnf(10764,plain,
% 178.51/178.33 (~P106(f326(f326(f172(x107641),f113(x107641)),x107642))),
% 178.51/178.33 inference(rename_variables,[],[4720])).
% 178.51/178.33 cnf(10771,plain,
% 178.51/178.33 (~P106(f326(f326(f172(x107711),f113(x107711)),x107712))),
% 178.51/178.33 inference(rename_variables,[],[4720])).
% 178.51/178.33 cnf(10779,plain,
% 178.51/178.33 (E(f326(f326(f243(a914),f326(f103(a914),a97)),x107791),f326(f326(f243(a914),f2(a914)),x107791))),
% 178.51/178.33 inference(scs_inference,[],[4660,10449,10459,10472,10483,10555,10590,10593,10596,4670,3298,3464,10518,10521,10617,3340,3401,3336,3363,3347,3973,3434,4679,10509,3398,4282,4741,3419,3866,3571,10601,10721,3487,4715,10486,10489,10515,10642,4728,3941,4088,3530,3532,3506,4712,4674,4720,10477,10480,10650,10745,10764,4232,3884,10645,3503,10610,10708,3504,10637,4711,10526,10558,3596,4022,3959,10561,4721,10506,4323,4718,4703,3480,3484,4705,4704,4737,4738,3982,4735,10531,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027])).
% 178.51/178.33 cnf(10782,plain,
% 178.51/178.33 (~E(f326(a112,x107821),f2(a914))),
% 178.51/178.33 inference(rename_variables,[],[4670])).
% 178.51/178.33 cnf(10787,plain,
% 178.51/178.33 (P106(f326(f326(f328(x107871),x107872),f241(f922(x107871,a910))))),
% 178.51/178.33 inference(rename_variables,[],[3656])).
% 178.51/178.33 cnf(10791,plain,
% 178.51/178.33 (P106(f326(f326(f235(a914),f2(a914)),f326(a104,f77(a1))))),
% 178.51/178.33 inference(scs_inference,[],[4660,10449,10459,10472,10483,10555,10590,10593,10596,4670,10682,3298,3464,10518,10521,10617,3340,3401,3336,3363,3347,3973,3434,4679,10509,3398,4282,4741,3419,3866,3571,10601,10721,3487,4715,10486,10489,10515,10642,4728,3941,4088,3530,3532,3506,4712,4674,4720,10477,10480,10650,10745,10764,4232,3884,10645,3503,10610,10708,3504,10637,4711,10526,10558,3656,3596,4022,3959,10561,4721,10506,4323,4718,4703,3480,3484,4705,4704,4737,4738,3982,4735,10531,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091])).
% 178.51/178.33 cnf(10794,plain,
% 178.51/178.33 (~P106(f326(f326(f172(x107941),f113(x107941)),x107942))),
% 178.51/178.33 inference(rename_variables,[],[4720])).
% 178.51/178.33 cnf(10799,plain,
% 178.51/178.33 (P106(f326(f326(f235(a914),x107991),f326(a112,x107991)))),
% 178.51/178.33 inference(rename_variables,[],[3571])).
% 178.51/178.33 cnf(10802,plain,
% 178.51/178.33 (~P106(f326(f326(f172(x108021),f113(x108021)),x108022))),
% 178.51/178.33 inference(rename_variables,[],[4720])).
% 178.51/178.33 cnf(10805,plain,
% 178.51/178.33 (~P106(f326(f326(f172(x108051),f113(x108051)),x108052))),
% 178.51/178.33 inference(rename_variables,[],[4720])).
% 178.51/178.33 cnf(10808,plain,
% 178.51/178.33 (~P106(f326(f62(x108081,x108082,f188(f922(x108081,a910))),x108083))),
% 178.51/178.33 inference(rename_variables,[],[4734])).
% 178.51/178.33 cnf(10811,plain,
% 178.51/178.33 (~P106(f326(f62(x108111,x108112,f188(f922(x108111,a910))),x108113))),
% 178.51/178.33 inference(rename_variables,[],[4734])).
% 178.51/178.33 cnf(10814,plain,
% 178.51/178.33 (~P106(f326(f326(f188(f922(x108141,f922(x108142,a910))),x108143),x108144))),
% 178.51/178.33 inference(rename_variables,[],[4738])).
% 178.51/178.33 cnf(10817,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),x108171),f2(a914)))),
% 178.51/178.33 inference(rename_variables,[],[4715])).
% 178.51/178.33 cnf(10822,plain,
% 178.51/178.33 (~P106(f326(f326(f172(x108221),f113(x108221)),x108222))),
% 178.51/178.33 inference(rename_variables,[],[4720])).
% 178.51/178.33 cnf(10833,plain,
% 178.51/178.33 (~E(f326(a112,x108331),x108331)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(10851,plain,
% 178.51/178.33 (P106(f326(f326(f235(a99),f326(a5,x108511)),f326(a5,f326(a112,x108511))))),
% 178.51/178.33 inference(scs_inference,[],[4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,4670,10682,3298,3464,10518,10521,10617,3340,3401,3336,3363,3347,3973,3434,4679,10509,3398,4282,4741,3419,3866,3571,10601,10721,10799,3954,3487,4715,10486,10489,10515,10642,4728,3941,4088,3530,3532,3506,4712,4674,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,4232,3884,10645,3503,10610,10708,3504,10637,4711,10526,10558,3656,3596,4022,3959,10561,4721,10506,4323,4718,4703,3480,3484,4705,4704,4734,10808,4737,4738,10701,3982,4735,10531,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287])).
% 178.51/178.33 cnf(10858,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),x108581),x108581))),
% 178.51/178.33 inference(rename_variables,[],[3503])).
% 178.51/178.33 cnf(10861,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),x108611),f326(f326(f80(a914),x108611),x108611)))),
% 178.51/178.33 inference(rename_variables,[],[3765])).
% 178.51/178.33 cnf(10863,plain,
% 178.51/178.33 (P106(f326(f326(f235(a914),x108631),f326(f326(f80(a914),f326(a112,x108631)),f326(a112,x108631))))),
% 178.51/178.33 inference(scs_inference,[],[4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,4670,10682,3298,3464,10518,10521,10617,3340,3401,3336,3363,3347,3973,3434,4679,10509,3398,4282,4741,3419,3866,3571,10601,10721,10799,3954,3487,4715,10486,10489,10515,10642,4728,3941,4088,3530,3532,3506,4712,4674,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,4232,3884,10645,3503,10610,10708,3504,10637,4711,10526,10558,3656,3596,4022,3959,10561,4721,10506,4323,4718,4703,3480,3484,4705,4704,4734,10808,3765,10861,4737,4738,10701,3982,4735,10531,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311])).
% 178.51/178.33 cnf(10864,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),x108641),f326(f326(f80(a914),x108641),x108641)))),
% 178.51/178.33 inference(rename_variables,[],[3765])).
% 178.51/178.33 cnf(10867,plain,
% 178.51/178.33 (P106(f326(f326(f235(a914),x108671),f326(a112,f326(f326(f79(a914),x108672),x108671))))),
% 178.51/178.33 inference(rename_variables,[],[3952])).
% 178.51/178.33 cnf(10872,plain,
% 178.51/178.33 (P106(f326(f326(f235(a914),x108721),f326(a112,x108721)))),
% 178.51/178.33 inference(rename_variables,[],[3571])).
% 178.51/178.33 cnf(10875,plain,
% 178.51/178.33 (P106(f326(f326(f235(a914),x108751),f326(a112,x108751)))),
% 178.51/178.33 inference(rename_variables,[],[3571])).
% 178.51/178.33 cnf(10878,plain,
% 178.51/178.33 (P106(f326(f326(f328(x108781),x108782),f241(f922(x108781,a910))))),
% 178.51/178.33 inference(rename_variables,[],[3656])).
% 178.51/178.33 cnf(10897,plain,
% 178.51/178.33 (~P106(f326(f326(f234(a914),f326(a112,x108971)),x108971))),
% 178.51/178.33 inference(rename_variables,[],[4721])).
% 178.51/178.33 cnf(10900,plain,
% 178.51/178.33 (~P106(f326(f326(f234(a914),f326(a112,x109001)),x109001))),
% 178.51/178.33 inference(rename_variables,[],[4721])).
% 178.51/178.33 cnf(10903,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),f326(f326(f79(a914),x109031),x109032)),x109032))),
% 178.51/178.33 inference(rename_variables,[],[4735])).
% 178.51/178.33 cnf(10906,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),f326(f326(f79(a914),x109061),x109062)),x109062))),
% 178.51/178.33 inference(rename_variables,[],[4735])).
% 178.51/178.33 cnf(10909,plain,
% 178.51/178.33 (P106(f326(f241(f922(x109091,a910)),x109092))),
% 178.51/178.33 inference(rename_variables,[],[3564])).
% 178.51/178.33 cnf(10912,plain,
% 178.51/178.33 (E(f326(f35(a914),f326(f281(a914),x109121)),x109121)),
% 178.51/178.33 inference(rename_variables,[],[3398])).
% 178.51/178.33 cnf(10915,plain,
% 178.51/178.33 (P106(f326(f326(f235(a914),x109151),f326(a112,x109151)))),
% 178.51/178.33 inference(rename_variables,[],[3571])).
% 178.51/178.33 cnf(10922,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),x109221),x109221))),
% 178.51/178.33 inference(rename_variables,[],[3503])).
% 178.51/178.33 cnf(10927,plain,
% 178.51/178.33 (P106(f326(f326(f234(a1),x109271),x109271))),
% 178.51/178.33 inference(rename_variables,[],[3504])).
% 178.51/178.33 cnf(10936,plain,
% 178.51/178.33 (E(f326(f283(x109361,x109361),f262(x109361,x109362)),x109362)),
% 178.51/178.33 inference(rename_variables,[],[3464])).
% 178.51/178.33 cnf(10939,plain,
% 178.51/178.33 (P106(f326(f241(f922(x109391,a910)),x109392))),
% 178.51/178.33 inference(rename_variables,[],[3564])).
% 178.51/178.33 cnf(10941,plain,
% 178.51/178.33 (P31(x109411,f326(f234(a914),f2(a914)),x109412)),
% 178.51/178.33 inference(scs_inference,[],[4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,4670,10682,3298,3464,10518,10521,10617,10620,3340,3401,3336,3363,3347,3973,3434,4679,10509,3398,10582,4282,4741,3419,3866,3803,3571,10601,10721,10799,10872,10875,3954,3487,4715,10486,10489,10515,10642,4728,3941,3709,4088,3530,3532,3506,4712,4674,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,4232,3884,10645,3503,10610,10708,10858,3504,10637,10693,4711,10526,10558,3656,10787,3564,10909,3596,4022,3959,10561,4721,10506,10897,3524,4323,4718,4703,3480,3484,4705,4704,4734,10808,4740,3765,10861,4737,4738,10701,3982,4735,10531,10534,10903,3952,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517])).
% 178.51/178.33 cnf(10942,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),f2(a914)),x109421))),
% 178.51/178.33 inference(rename_variables,[],[3524])).
% 178.51/178.33 cnf(10945,plain,
% 178.51/178.33 (P106(f326(f326(f234(f922(x109451,a910)),f188(f922(x109451,a910))),x109452))),
% 178.51/178.33 inference(rename_variables,[],[3951])).
% 178.51/178.33 cnf(10948,plain,
% 178.51/178.33 (P106(f326(f241(f922(x109481,a910)),x109482))),
% 178.51/178.33 inference(rename_variables,[],[3564])).
% 178.51/178.33 cnf(10951,plain,
% 178.51/178.33 (P106(f326(f241(f922(x109511,a910)),x109512))),
% 178.51/178.33 inference(rename_variables,[],[3564])).
% 178.51/178.33 cnf(10954,plain,
% 178.51/178.33 (P106(f326(f241(f922(x109541,a910)),x109542))),
% 178.51/178.33 inference(rename_variables,[],[3564])).
% 178.51/178.33 cnf(10956,plain,
% 178.51/178.33 (~P106(f326(f326(f234(a914),f326(f326(f80(a914),f326(a112,x109561)),f326(a112,x109561))),x109561))),
% 178.51/178.33 inference(scs_inference,[],[4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,4670,10682,3298,3464,10518,10521,10617,10620,3340,3401,3336,3363,3347,3973,3434,4679,10509,3398,10582,4282,4741,3419,3866,3803,3571,10601,10721,10799,10872,10875,3954,3487,4715,10486,10489,10515,10642,4728,3941,3709,4088,3530,3532,3506,4712,4674,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,4232,3884,10645,3503,10610,10708,10858,3504,10637,10693,4711,10526,10558,3656,10787,3564,10909,10939,10948,10951,3596,4022,3959,10561,4721,10506,10897,3524,4323,4718,4703,3480,3484,4705,4704,4734,10808,4740,3951,3765,10861,10864,4737,4738,10701,3982,4735,10531,10534,10903,3952,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529])).
% 178.51/178.33 cnf(10957,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),x109571),f326(f326(f80(a914),x109571),x109571)))),
% 178.51/178.33 inference(rename_variables,[],[3765])).
% 178.51/178.33 cnf(10966,plain,
% 178.51/178.33 (~P106(f326(f326(f234(a914),f326(a112,f326(a112,f326(f326(f79(a914),x109661),x109662)))),f326(a112,x109662)))),
% 178.51/178.33 inference(scs_inference,[],[4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,4670,10682,3298,3464,10518,10521,10617,10620,3441,3340,3401,3336,3363,3347,3973,3434,4679,10509,3398,10582,4282,4741,3419,3866,3803,3571,10601,10721,10799,10872,10875,10915,3954,3487,4715,10486,10489,10515,10642,4728,3941,3709,4088,3530,3532,3506,4712,4674,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,4232,3884,10645,3503,10610,10708,10858,3504,10637,10693,4711,10526,10558,3656,10787,3564,10909,10939,10948,10951,3596,4022,3959,10561,4721,10506,10897,3524,4323,4718,4703,3480,3484,4705,4704,4734,10808,4740,3951,3765,10861,10864,4737,4738,10701,3982,4735,10531,10534,10903,3952,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572])).
% 178.51/178.33 cnf(10997,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),x109971),x109971))),
% 178.51/178.33 inference(rename_variables,[],[3503])).
% 178.51/178.33 cnf(11008,plain,
% 178.51/178.33 (~P106(f326(f326(f172(x110081),f113(x110081)),x110082))),
% 178.51/178.33 inference(rename_variables,[],[4720])).
% 178.51/178.33 cnf(11015,plain,
% 178.51/178.33 (P106(f326(f326(f235(a914),x110151),f326(a112,x110151)))),
% 178.51/178.33 inference(rename_variables,[],[3571])).
% 178.51/178.33 cnf(11017,plain,
% 178.51/178.33 (P106(f326(f326(f235(a1),f326(f326(f3(a1),x110171),f77(a1))),x110171))),
% 178.51/178.33 inference(scs_inference,[],[4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,4670,10682,3298,3464,10518,10521,10617,10620,3441,3340,3401,3336,3363,3347,3973,3434,4679,10509,3398,10582,4282,4140,4741,3419,3866,3803,3571,10601,10721,10799,10872,10875,10915,3954,3487,4715,10486,10489,10515,10642,10817,4728,3941,3709,4088,3530,3532,3506,4712,4674,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,4232,3884,10645,3503,10610,10708,10858,10922,10997,3504,10637,10693,10927,4711,10526,10558,3656,10787,4724,3564,10909,10939,10948,10951,3596,4022,3959,10561,4721,10506,10897,10900,3524,4323,4718,4703,4706,3480,3484,4705,4704,4734,10808,4740,3951,3765,10861,10864,4737,4738,10701,3982,4735,10531,10534,10903,3952,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838])).
% 178.51/178.33 cnf(11018,plain,
% 178.51/178.33 (P106(f326(f326(f234(a1),x110181),x110181))),
% 178.51/178.33 inference(rename_variables,[],[3504])).
% 178.51/178.33 cnf(11023,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),x110231),f2(a914)))),
% 178.51/178.33 inference(rename_variables,[],[4715])).
% 178.51/178.33 cnf(11036,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),x110361),f2(a914)))),
% 178.51/178.33 inference(rename_variables,[],[4715])).
% 178.51/178.33 cnf(11039,plain,
% 178.51/178.33 (~P106(f326(f326(f235(f922(x110391,a910)),x110392),f188(f922(x110391,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4732])).
% 178.51/178.33 cnf(11042,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),x110421),x110421))),
% 178.51/178.33 inference(rename_variables,[],[3503])).
% 178.51/178.33 cnf(11045,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),x110451),x110451))),
% 178.51/178.33 inference(rename_variables,[],[3503])).
% 178.51/178.33 cnf(11060,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),x110601),x110601))),
% 178.51/178.33 inference(rename_variables,[],[4711])).
% 178.51/178.33 cnf(11069,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x110691),x110692),f188(f922(x110691,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11076,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),x110761),x110761))),
% 178.51/178.33 inference(rename_variables,[],[3503])).
% 178.51/178.33 cnf(11079,plain,
% 178.51/178.33 (P106(f326(f326(f234(f922(x110791,a910)),f326(f309(x110792,x110791,x110793),f326(f310(x110792,x110791,x110793),x110794))),x110794))),
% 178.51/178.33 inference(rename_variables,[],[4378])).
% 178.51/178.33 cnf(11088,plain,
% 178.51/178.33 (P106(f326(f326(f234(f922(x110881,a910)),f326(f172(x110881),f326(f136(x110881,x110882),x110883))),f326(f172(x110881),x110883)))),
% 178.51/178.33 inference(rename_variables,[],[4149])).
% 178.51/178.33 cnf(11091,plain,
% 178.51/178.33 (E(f326(f309(x110911,x110911,f7(x110911)),x110912),x110912)),
% 178.51/178.33 inference(rename_variables,[],[3560])).
% 178.51/178.33 cnf(11098,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),f2(a914)),x110981))),
% 178.51/178.33 inference(rename_variables,[],[3524])).
% 178.51/178.33 cnf(11101,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),x111011),x111011))),
% 178.51/178.33 inference(rename_variables,[],[3503])).
% 178.51/178.33 cnf(11104,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),x111041),x111041))),
% 178.51/178.33 inference(rename_variables,[],[4711])).
% 178.51/178.33 cnf(11106,plain,
% 178.51/178.33 (~P33(x111061,f188(f922(x111062,a910)),x111063)),
% 178.51/178.33 inference(scs_inference,[],[4739,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,4670,10682,3298,3464,10518,10521,10617,10620,3441,3340,3401,3336,3363,3347,3973,3560,3434,4679,10509,3398,10582,4282,4140,4741,3419,3700,3866,3803,3571,10601,10721,10799,10872,10875,10915,11015,3954,3487,4715,10486,10489,10515,10642,10817,11023,4728,3941,3709,4088,3530,3532,3506,4712,4674,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,4244,4149,4232,3884,10645,4732,3503,10610,10708,10858,10922,10997,11042,11045,11076,3504,10637,10693,10927,4711,10526,10558,11060,3656,10787,4724,3564,10909,10939,10948,10951,3596,4022,3959,10561,4721,10506,10897,10900,3524,10942,4323,4718,4703,4706,3480,3484,4705,4704,4734,10808,4740,3951,3765,10861,10864,4737,4738,10701,4378,3982,4735,10531,10534,10903,3952,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385])).
% 178.51/178.33 cnf(11113,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),x111131),x111131))),
% 178.51/178.33 inference(rename_variables,[],[4711])).
% 178.51/178.33 cnf(11124,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),x111241),f326(f326(f80(a914),x111241),x111241)))),
% 178.51/178.33 inference(rename_variables,[],[3765])).
% 178.51/178.33 cnf(11130,plain,
% 178.51/178.33 (P106(f326(f326(f235(a914),x111301),f326(a112,f326(f326(f79(a914),x111302),x111301))))),
% 178.51/178.33 inference(rename_variables,[],[3952])).
% 178.51/178.33 cnf(11137,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),x111371),x111371))),
% 178.51/178.33 inference(rename_variables,[],[3503])).
% 178.51/178.33 cnf(11140,plain,
% 178.51/178.33 (P106(f326(f326(f234(a1),x111401),x111401))),
% 178.51/178.33 inference(rename_variables,[],[3504])).
% 178.51/178.33 cnf(11143,plain,
% 178.51/178.33 (~E(f326(a112,x111431),x111431)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(11147,plain,
% 178.51/178.33 (P106(f326(f326(f328(f921(x111471,x111471)),x111472),f306(x111471,f241(f922(f921(x111471,x111471),a910)))))),
% 178.51/178.33 inference(scs_inference,[],[4739,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,4670,10682,3298,3464,10518,10521,10617,10620,3441,3340,3401,3336,3363,3347,3973,3560,3434,4679,10509,3398,10582,4282,4140,4741,3419,3700,3866,3803,3571,10601,10721,10799,10872,10875,10915,11015,3954,3487,4715,10486,10489,10515,10642,10817,11023,11036,4728,3941,3709,4088,3530,3532,3506,4712,4674,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,4244,4149,4232,3884,10645,4732,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,3504,10637,10693,10927,11018,4711,10526,10558,11060,11104,3656,10787,10878,4724,11069,3564,10909,10939,10948,10951,3596,4022,3959,10561,4721,10506,10897,10900,3524,10942,4323,4718,4703,4706,3480,3484,4705,4704,4734,10808,4740,3951,3765,10861,10864,10957,11124,4737,4738,10701,4378,3982,4735,10531,10534,10903,3952,10867,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652])).
% 178.51/178.33 cnf(11148,plain,
% 178.51/178.33 (P106(f326(f326(f328(x111481),x111482),f241(f922(x111481,a910))))),
% 178.51/178.33 inference(rename_variables,[],[3656])).
% 178.51/178.33 cnf(11153,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),x111531),f2(a914)))),
% 178.51/178.33 inference(rename_variables,[],[4715])).
% 178.51/178.33 cnf(11168,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),f2(a914)),x111681))),
% 178.51/178.33 inference(rename_variables,[],[3524])).
% 178.51/178.33 cnf(11175,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),x111751),x111751))),
% 178.51/178.33 inference(rename_variables,[],[3503])).
% 178.51/178.33 cnf(11184,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x111841),x111842),f188(f922(x111841,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11192,plain,
% 178.51/178.33 (P106(f326(f326(f328(x111921),x111922),f241(f922(x111921,a910))))),
% 178.51/178.33 inference(rename_variables,[],[3656])).
% 178.51/178.33 cnf(11195,plain,
% 178.51/178.33 (~P106(f326(f326(f328(f921(f915(x111951),f915(x111951))),f326(f326(f251(f915(x111951),f915(x111951)),x111952),f113(x111951))),f145(x111951,x111953)))),
% 178.51/178.33 inference(rename_variables,[],[4741])).
% 178.51/178.33 cnf(11204,plain,
% 178.51/178.33 (~P106(f326(f326(f328(f921(x112041,x112041)),x112042),f262(x112041,f188(f922(x112041,a910)))))),
% 178.51/178.33 inference(scs_inference,[],[4739,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,4670,10682,3298,3464,10518,10521,10617,10620,3441,3340,3401,3336,3363,3347,3973,3560,3434,4679,10509,3398,10582,4282,4140,4741,3419,3700,3866,3803,4018,3571,10601,10721,10799,10872,10875,10915,11015,3954,3487,4715,10486,10489,10515,10642,10817,11023,11036,4728,3941,3709,4088,3530,3532,3506,4712,4674,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,4244,4149,11088,3867,4232,3884,10645,4732,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,3504,10637,10693,10927,11018,4711,10526,10558,11060,11104,3656,10787,10878,11148,4724,11069,11184,3564,10909,10939,10948,10951,3596,4022,3959,10561,4721,10506,10897,10900,3524,10942,11098,4323,4718,4030,4703,4706,3480,3484,4705,4704,4734,10808,4740,3951,3657,3765,10861,10864,10957,11124,4737,4738,10701,4378,3982,4735,10531,10534,10903,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117])).
% 178.51/178.33 cnf(11205,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x112051),x112052),f188(f922(x112051,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11207,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x112071),x112072),f326(f310(x112071,x112073,x112074),f188(f922(x112073,a910)))))),
% 178.51/178.33 inference(scs_inference,[],[4739,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,4670,10682,3298,3464,10518,10521,10617,10620,3441,3340,3401,3336,3363,3347,3973,3560,3434,4679,10509,3398,10582,4282,4140,4741,3419,3700,3866,3803,4018,3571,10601,10721,10799,10872,10875,10915,11015,3954,3487,4715,10486,10489,10515,10642,10817,11023,11036,4728,3941,3709,4088,3530,3532,3506,4712,4674,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,4244,4149,11088,3867,4232,3884,10645,4732,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,3504,10637,10693,10927,11018,4711,10526,10558,11060,11104,3656,10787,10878,11148,4724,11069,11184,11205,3564,10909,10939,10948,10951,3596,4022,3959,10561,4721,10506,10897,10900,3524,10942,11098,4323,4718,4030,4703,4706,3480,3484,4705,4704,4734,10808,4740,3951,3657,3765,10861,10864,10957,11124,4737,4738,10701,4378,3982,4735,10531,10534,10903,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148])).
% 178.51/178.33 cnf(11208,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x112081),x112082),f188(f922(x112081,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11211,plain,
% 178.51/178.33 (P106(f326(f326(f234(f922(x112111,a910)),x112112),f326(f326(f308(x112111),x112113),x112112)))),
% 178.51/178.33 inference(rename_variables,[],[3949])).
% 178.51/178.33 cnf(11214,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),x112141),x112141))),
% 178.51/178.33 inference(rename_variables,[],[3503])).
% 178.51/178.33 cnf(11217,plain,
% 178.51/178.33 (P106(f326(f326(f234(f922(x112171,a910)),x112172),f326(f326(f308(x112171),x112173),x112172)))),
% 178.51/178.33 inference(rename_variables,[],[3949])).
% 178.51/178.33 cnf(11220,plain,
% 178.51/178.33 (E(f326(f309(x112201,x112201,f7(x112201)),x112202),x112202)),
% 178.51/178.33 inference(rename_variables,[],[3560])).
% 178.51/178.33 cnf(11222,plain,
% 178.51/178.33 (P34(x112221,x112222,x112223,f114(x112221,f113(x112221)),f113(x112222))),
% 178.51/178.33 inference(scs_inference,[],[4739,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,4670,10682,3298,3350,3464,10518,10521,10617,10620,3441,3340,3401,3336,3363,3347,3973,3560,11091,3434,4679,10509,3398,10582,4282,4140,4741,3419,3700,3866,3803,4018,3571,10601,10721,10799,10872,10875,10915,11015,3954,3487,4715,10486,10489,10515,10642,10817,11023,11036,4728,3941,3709,4088,3530,3532,3506,4712,4674,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,4244,4149,11088,3867,4232,3884,10645,4732,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,3504,10637,10693,10927,11018,4711,10526,10558,11060,11104,3656,10787,10878,11148,4724,11069,11184,11205,3564,10909,10939,10948,10951,3596,4022,3959,10561,4721,10506,10897,10900,3524,10942,11098,4323,4718,4030,4703,4706,3480,3484,4705,4704,4734,10808,4740,3949,11211,3951,3657,3765,10861,10864,10957,11124,4737,4738,10701,4378,3982,4735,10531,10534,10903,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254])).
% 178.51/178.33 cnf(11235,plain,
% 178.51/178.33 (P106(f326(f326(f234(f922(x112351,a910)),x112352),f326(f326(f308(x112351),x112353),x112352)))),
% 178.51/178.33 inference(rename_variables,[],[3949])).
% 178.51/178.33 cnf(11246,plain,
% 178.51/178.33 (~E(f326(a112,x112461),f2(a914))),
% 178.51/178.33 inference(rename_variables,[],[4670])).
% 178.51/178.33 cnf(11249,plain,
% 178.51/178.33 (~P106(f326(f326(f172(x112491),f113(x112491)),x112492))),
% 178.51/178.33 inference(rename_variables,[],[4720])).
% 178.51/178.33 cnf(11253,plain,
% 178.51/178.33 (~P106(f326(f326(f328(f921(a914,a914)),f326(f326(f251(a914,a914),f326(a112,x112531)),x112531)),f306(a914,a316)))),
% 178.51/178.33 inference(scs_inference,[],[4739,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,4670,10682,10782,3298,3350,3464,10518,10521,10617,10620,3441,3340,3401,3336,3363,3347,3973,3560,11091,3434,4679,10509,3398,10582,4282,4140,4741,3419,3700,3866,3803,4018,3571,10601,10721,10799,10872,10875,10915,11015,3954,3487,4715,10486,10489,10515,10642,10817,11023,11036,4728,3941,3709,4088,3530,3532,3506,4712,4674,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,4244,4149,11088,3867,4232,3884,10645,4732,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,3504,10637,10693,10927,11018,4711,10526,10558,11060,11104,3656,10787,10878,11148,11192,4724,11069,11184,11205,3564,10909,10939,10948,10951,3596,4022,3959,10561,4721,10506,10897,10900,3524,10942,11098,4323,4718,4030,4703,4706,3480,3484,4705,4704,4734,10808,4740,4106,3949,11211,11217,3951,3657,3765,10861,10864,10957,11124,4737,4738,10701,4378,3982,4735,10531,10534,10903,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569])).
% 178.51/178.33 cnf(11262,plain,
% 178.51/178.33 (P106(f326(f326(f235(a914),x112621),f326(a112,x112621)))),
% 178.51/178.33 inference(rename_variables,[],[3571])).
% 178.51/178.33 cnf(11272,plain,
% 178.51/178.33 (~E(f326(f309(x112721,f922(x112721,a910),x112722),x112723),f326(f307(x112721),x112723))),
% 178.51/178.33 inference(rename_variables,[],[4722])).
% 178.51/178.33 cnf(11275,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x112751),x112752),f188(f922(x112751,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11278,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x112781),x112782),f188(f922(x112781,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11281,plain,
% 178.51/178.33 (~P106(f326(f326(f328(f921(x112811,x112811)),f326(f326(f251(x112811,x112811),x112812),x112813)),f153(x112811,f113(f922(x112811,a914)))))),
% 178.51/178.33 inference(rename_variables,[],[4740])).
% 178.51/178.33 cnf(11284,plain,
% 178.51/178.33 (~P106(f326(f326(f328(f921(x112841,x112841)),f326(f326(f251(x112841,x112841),x112842),x112843)),f153(x112841,f113(f922(x112841,a914)))))),
% 178.51/178.33 inference(rename_variables,[],[4740])).
% 178.51/178.33 cnf(11289,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x112891),x112892),f188(f922(x112891,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11292,plain,
% 178.51/178.33 (P106(f326(f326(f328(f921(x112921,x112921)),f326(f326(f251(x112921,x112921),x112922),x112922)),f306(x112921,x112923)))),
% 178.51/178.33 inference(rename_variables,[],[4140])).
% 178.51/178.33 cnf(11295,plain,
% 178.51/178.33 (P106(f326(f326(f234(f922(x112951,a910)),x112952),f241(f922(x112951,a910))))),
% 178.51/178.33 inference(rename_variables,[],[3884])).
% 178.51/178.33 cnf(11298,plain,
% 178.51/178.33 (P106(f326(f326(f234(f922(x112981,a910)),f326(f172(x112981),f176(x112981,x112982,x112983))),f326(f172(x112981),x112982)))),
% 178.51/178.33 inference(rename_variables,[],[4198])).
% 178.51/178.33 cnf(11314,plain,
% 178.51/178.33 (P106(f326(f326(f234(f922(x113141,a910)),f188(f922(x113141,a910))),x113142))),
% 178.51/178.33 inference(rename_variables,[],[3951])).
% 178.51/178.33 cnf(11325,plain,
% 178.51/178.33 (~P106(f326(f326(f328(f921(f915(x113251),f915(x113251))),f326(f326(f251(f915(x113251),f915(x113251)),x113252),f113(x113251))),f147(x113251,x113253)))),
% 178.51/178.33 inference(rename_variables,[],[4742])).
% 178.51/178.33 cnf(11336,plain,
% 178.51/178.33 (~E(f326(a112,x113361),x113361)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(11339,plain,
% 178.51/178.33 (~E(f326(a112,x113391),x113391)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(11343,plain,
% 178.51/178.33 (P106(f326(f326(f328(f921(f915(x113431),f915(x113431))),f326(f326(f251(f915(x113431),f915(x113431)),f113(x113431)),f113(x113431))),f326(f326(f288(f915(x113431),f915(x113431),f915(x113431)),f158(x113431,x113432)),f306(f915(x113431),f158(x113431,x113432)))))),
% 178.51/178.33 inference(scs_inference,[],[4739,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,4670,10682,10782,3298,3350,3464,10518,10521,10617,10620,3441,3961,3340,3401,3336,3363,3347,3973,3560,11091,3434,4138,4679,10509,4722,3398,10582,4282,4140,11292,4741,11195,4742,3419,3700,3866,3803,4018,3571,10601,10721,10799,10872,10875,10915,11015,3954,3487,4715,10486,10489,10515,10642,10817,11023,11036,11153,4728,3941,3709,4088,3530,3532,3506,4712,4674,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,4244,4149,11088,4198,3867,4232,3884,10645,10742,4732,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,3504,10637,10693,10927,11018,4711,10526,10558,11060,11104,3656,10787,10878,11148,11192,4724,11069,11184,11205,11208,11275,11278,3564,10909,10939,10948,10951,3596,4022,3959,10561,4721,10506,10897,10900,3524,10942,11098,4323,4718,4030,4703,4706,3480,3484,4705,4704,4734,10808,4740,11281,4106,3949,11211,11217,3951,10945,3657,3765,10861,10864,10957,11124,4737,4738,10701,4378,3982,4735,10531,10534,10903,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794])).
% 178.51/178.33 cnf(11346,plain,
% 178.51/178.33 (~E(f326(a112,x113461),f2(a914))),
% 178.51/178.33 inference(rename_variables,[],[4670])).
% 178.51/178.33 cnf(11348,plain,
% 178.51/178.33 (E(f326(x113481,f326(f91(x113482,x113483,f241(f922(x113482,a910)),x113481),f326(x113481,x113484))),f326(x113481,x113484))),
% 178.51/178.33 inference(scs_inference,[],[4739,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,4670,10682,10782,11246,3298,3350,3464,10518,10521,10617,10620,3441,3961,3340,3401,3336,3363,3347,3973,3560,11091,3434,4138,4679,10509,4722,3398,10582,4282,4140,11292,4741,11195,4742,3419,3700,3866,3803,4018,3571,10601,10721,10799,10872,10875,10915,11015,3954,3487,4715,10486,10489,10515,10642,10817,11023,11036,11153,4728,3941,3709,4088,3530,3532,3506,4712,4674,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,4244,4149,11088,4198,3867,4232,3884,10645,10742,4732,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,3504,10637,10693,10927,11018,4711,10526,10558,11060,11104,3656,10787,10878,11148,11192,4724,11069,11184,11205,11208,11275,11278,3564,10909,10939,10948,10951,3596,4022,3959,10561,4721,10506,10897,10900,3524,10942,11098,4323,4718,4030,4703,4706,3480,3484,4705,4704,4734,10808,4740,11281,4106,3949,11211,11217,3951,10945,3657,3765,10861,10864,10957,11124,4737,4738,10701,4378,3982,4735,10531,10534,10903,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808])).
% 178.51/178.33 cnf(11351,plain,
% 178.51/178.33 (P106(f326(f326(f234(f922(x113511,a910)),x113512),x113512))),
% 178.51/178.33 inference(rename_variables,[],[3799])).
% 178.51/178.33 cnf(11358,plain,
% 178.51/178.33 (~E(f326(a112,x113581),x113581)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(11361,plain,
% 178.51/178.33 (~E(f326(a112,x113611),x113611)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(11366,plain,
% 178.51/178.33 (P24(x113661,x113661,f7(x113661),x113662)),
% 178.51/178.33 inference(rename_variables,[],[3740])).
% 178.51/178.33 cnf(11371,plain,
% 178.51/178.33 (~E(f326(f309(x113711,f922(x113711,a910),x113712),x113713),f326(f307(x113711),x113713))),
% 178.51/178.33 inference(rename_variables,[],[4722])).
% 178.51/178.33 cnf(11376,plain,
% 178.51/178.33 (P106(f326(f326(f234(f922(x113761,a910)),x113762),f241(f922(x113761,a910))))),
% 178.51/178.33 inference(rename_variables,[],[3884])).
% 178.51/178.33 cnf(11392,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x113921),x113922),f188(f922(x113921,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11395,plain,
% 178.51/178.33 (~P106(f326(f326(f234(a914),f326(a112,x113951)),x113951))),
% 178.51/178.33 inference(rename_variables,[],[4721])).
% 178.51/178.33 cnf(11400,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x114001),x114002),f188(f922(x114001,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11411,plain,
% 178.51/178.33 (~P106(f326(f326(f234(a914),f326(a112,x114111)),x114111))),
% 178.51/178.33 inference(rename_variables,[],[4721])).
% 178.51/178.33 cnf(11414,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x114141),x114142),f188(f922(x114141,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11420,plain,
% 178.51/178.33 (E(f326(f136(x114201,f241(f922(x114202,a910))),f742(x114203,x114204,f326(f326(f151(x114201),x114204),x114203),f241(f922(x114202,a910)),x114201)),x114203)),
% 178.51/178.33 inference(scs_inference,[],[4739,3740,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,4670,10682,10782,11246,3298,3350,3464,10518,10521,10617,10620,3441,3961,3340,3401,3336,3363,3347,3973,3560,11091,3434,4138,4679,10509,4722,11272,3607,3398,10582,4282,4140,11292,4741,11195,4742,3419,3700,3866,3803,4018,3571,10601,10721,10799,10872,10875,10915,11015,11262,3954,3487,4715,10486,10489,10515,10642,10817,11023,11036,11153,4728,3941,3709,4088,3530,3532,3506,4712,4674,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,4244,4149,11088,4198,3867,4232,3884,10645,10742,11295,4732,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,3504,10637,10693,10927,11018,4711,10526,10558,11060,11104,3656,10787,10878,11148,11192,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,3564,10909,10939,10948,10951,3596,4022,3959,10561,4721,10506,10897,10900,11395,3524,10942,11098,4323,4718,4030,4703,4706,3480,3484,4705,4704,4734,10808,4740,11281,4106,3949,11211,11217,3799,3951,10945,3657,3765,10861,10864,10957,11124,4737,4738,10701,4378,3982,4735,10531,10534,10903,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108])).
% 178.51/178.33 cnf(11423,plain,
% 178.51/178.33 (P106(f326(f326(f328(f921(x114231,x114231)),f326(f326(f251(x114231,x114231),x114232),x114232)),f306(x114231,x114233)))),
% 178.51/178.33 inference(rename_variables,[],[4140])).
% 178.51/178.33 cnf(11426,plain,
% 178.51/178.33 (P106(f326(f326(f328(x114261),x114262),f241(f922(x114261,a910))))),
% 178.51/178.33 inference(rename_variables,[],[3656])).
% 178.51/178.33 cnf(11429,plain,
% 178.51/178.33 (P106(f326(f326(f328(x114291),x114292),f241(f922(x114291,a910))))),
% 178.51/178.33 inference(rename_variables,[],[3656])).
% 178.51/178.33 cnf(11436,plain,
% 178.51/178.33 (~P106(f326(f326(f328(f921(f915(x114361),f915(x114361))),f326(f326(f251(f915(x114361),f915(x114361)),x114362),f113(x114361))),f145(x114361,x114363)))),
% 178.51/178.33 inference(rename_variables,[],[4741])).
% 178.51/178.33 cnf(11439,plain,
% 178.51/178.33 (~P106(f326(f326(f328(f921(f915(x114391),f915(x114391))),f326(f326(f251(f915(x114391),f915(x114391)),x114392),f113(x114391))),f147(x114391,x114393)))),
% 178.51/178.33 inference(rename_variables,[],[4742])).
% 178.51/178.33 cnf(11442,plain,
% 178.51/178.33 (~P106(f326(f326(f328(f921(f915(x114421),f915(x114421))),f326(f326(f251(f915(x114421),f915(x114421)),x114422),f113(x114421))),f157(x114421,x114423)))),
% 178.51/178.33 inference(rename_variables,[],[4743])).
% 178.51/178.33 cnf(11447,plain,
% 178.51/178.33 (~P106(f326(f326(f235(f922(x114471,a910)),x114472),f188(f922(x114471,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4732])).
% 178.51/178.33 cnf(11449,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x114491),x114492),f326(f309(x114493,x114491,x114494),f188(f922(x114493,a910)))))),
% 178.51/178.33 inference(scs_inference,[],[4739,3740,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,4670,10682,10782,11246,3298,3350,3464,10518,10521,10617,10620,3441,3961,3340,3401,3336,3363,3347,3973,3560,11091,3434,4138,4679,10509,4722,11272,3607,3398,10582,4282,4140,11292,4741,11195,11436,4742,11325,4743,3419,3700,3866,3803,4018,3571,10601,10721,10799,10872,10875,10915,11015,11262,3954,3487,4715,10486,10489,10515,10642,10817,11023,11036,11153,4728,3941,3709,4088,3530,3532,3506,4712,4674,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,4244,4149,11088,4198,3867,4232,3884,10645,10742,11295,4732,11039,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,3504,10637,10693,10927,11018,4711,10526,10558,11060,11104,3656,10787,10878,11148,11192,11426,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,3564,10909,10939,10948,10951,3596,4022,3959,10561,4721,10506,10897,10900,11395,3524,10942,11098,4323,4718,4030,4703,4706,3480,3484,4705,4704,4734,10808,4740,11281,4106,3949,11211,11217,3799,3951,10945,3657,3765,10861,10864,10957,11124,4737,4738,10701,4378,3982,4735,10531,10534,10903,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270])).
% 178.51/178.33 cnf(11450,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x114501),x114502),f188(f922(x114501,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11454,plain,
% 178.51/178.33 (P106(f326(f326(f234(f922(x114541,a910)),x114542),f326(f326(f110(f922(x114541,a910)),x114543),f241(f922(x114541,a910)))))),
% 178.51/178.33 inference(scs_inference,[],[4739,3740,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,4670,10682,10782,11246,3298,3350,3464,10518,10521,10617,10620,3441,3961,3340,3401,3336,3363,3347,3973,3560,11091,3434,4138,4679,10509,4722,11272,3607,3398,10582,4282,4140,11292,4741,11195,11436,4742,11325,4743,3419,3700,3866,3803,4018,3571,10601,10721,10799,10872,10875,10915,11015,11262,3954,3487,4715,10486,10489,10515,10642,10817,11023,11036,11153,4728,3941,3709,4088,3530,3532,3506,4712,4674,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,4244,4149,11088,4198,3867,4232,3884,10645,10742,11295,11376,4732,11039,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,3504,10637,10693,10927,11018,4711,10526,10558,11060,11104,3656,10787,10878,11148,11192,11426,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,3564,10909,10939,10948,10951,3596,4022,3959,10561,4721,10506,10897,10900,11395,3524,10942,11098,4323,4718,4030,4703,4706,3480,3484,4705,4704,4734,10808,4740,11281,4106,3949,11211,11217,3799,3951,10945,3657,3765,10861,10864,10957,11124,4737,4738,10701,4378,3982,4735,10531,10534,10903,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299])).
% 178.51/178.33 cnf(11455,plain,
% 178.51/178.33 (P106(f326(f326(f234(f922(x114551,a910)),x114552),f241(f922(x114551,a910))))),
% 178.51/178.33 inference(rename_variables,[],[3884])).
% 178.51/178.33 cnf(11462,plain,
% 178.51/178.33 (~P106(f326(f326(f172(x114621),f113(x114621)),x114622))),
% 178.51/178.33 inference(rename_variables,[],[4720])).
% 178.51/178.33 cnf(11467,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x114671),x114672),f188(f922(x114671,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11470,plain,
% 178.51/178.33 (~P106(f326(f326(f328(f921(x114701,x114701)),f326(f326(f251(x114701,x114701),x114702),x114703)),f153(x114701,f113(f922(x114701,a914)))))),
% 178.51/178.33 inference(rename_variables,[],[4740])).
% 178.51/178.33 cnf(11473,plain,
% 178.51/178.33 (P106(f326(f326(f234(f922(x114731,a910)),x114732),x114732))),
% 178.51/178.33 inference(rename_variables,[],[3799])).
% 178.51/178.33 cnf(11476,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x114761),x114762),f188(f922(x114761,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11478,plain,
% 178.51/178.33 (P106(f326(f326(f234(f922(x114781,a910)),f326(f284(x114782,x114781,f188(f922(f921(x114782,x114781),a910))),x114783)),x114784))),
% 178.51/178.33 inference(scs_inference,[],[4739,3740,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,4670,10682,10782,11246,3298,3350,3464,10518,10521,10617,10620,3441,3961,3340,3401,3336,3363,3347,3973,3560,11091,3434,4138,4679,10509,4722,11272,3607,3398,10582,4282,4140,11292,4741,11195,11436,4742,11325,4743,3419,3700,3866,3803,4018,3571,10601,10721,10799,10872,10875,10915,11015,11262,3954,3487,4715,10486,10489,10515,10642,10817,11023,11036,11153,4728,3941,3709,4088,3530,3532,3506,4712,4674,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,4244,4149,11088,4198,3867,4232,3884,10645,10742,11295,11376,4732,11039,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,3504,10637,10693,10927,11018,4711,10526,10558,11060,11104,3656,10787,10878,11148,11192,11426,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,3564,10909,10939,10948,10951,3596,4022,3959,10561,4721,10506,10897,10900,11395,3524,10942,11098,4323,4718,4030,4703,4706,3480,3484,4705,4704,4734,10808,4740,11281,11284,4106,3949,11211,11217,3799,11351,3951,10945,11314,3657,3765,10861,10864,10957,11124,4737,4738,10701,4378,3982,4735,10531,10534,10903,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474])).
% 178.51/178.33 cnf(11479,plain,
% 178.51/178.33 (P106(f326(f326(f234(f922(x114791,a910)),f188(f922(x114791,a910))),x114792))),
% 178.51/178.33 inference(rename_variables,[],[3951])).
% 178.51/178.33 cnf(11482,plain,
% 178.51/178.33 (P106(f326(f326(f328(f921(x114821,x114821)),f326(f326(f251(x114821,x114821),x114822),x114822)),f306(x114821,x114823)))),
% 178.51/178.33 inference(rename_variables,[],[4140])).
% 178.51/178.33 cnf(11484,plain,
% 178.51/178.33 (~P34(x114841,x114842,x114843,f326(f326(f154(x114844,x114841),x114845),f326(a112,f113(x114844))),f113(x114842))),
% 178.51/178.33 inference(scs_inference,[],[4739,3740,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,4670,10682,10782,11246,3298,3350,3464,10518,10521,10617,10620,3441,3961,3340,3401,3336,3363,3347,3973,3560,11091,3434,4138,4679,10509,4722,11272,3607,3398,10582,4282,4140,11292,11423,4741,11195,11436,4742,11325,4743,3419,3700,3866,3803,4018,3571,10601,10721,10799,10872,10875,10915,11015,11262,3954,3487,4715,10486,10489,10515,10642,10817,11023,11036,11153,4728,3941,3709,4088,3530,3532,3506,4712,4674,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,4244,4149,11088,4198,3867,4232,3884,10645,10742,11295,11376,4732,11039,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,3504,10637,10693,10927,11018,4711,10526,10558,11060,11104,3656,10787,10878,11148,11192,11426,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,3564,10909,10939,10948,10951,3596,4022,3959,10561,4721,10506,10897,10900,11395,3524,10942,11098,4323,4718,4030,4703,4706,3480,3484,4705,4704,4734,10808,4740,11281,11284,4106,3949,11211,11217,3799,11351,3951,10945,11314,3657,3765,10861,10864,10957,11124,4737,4738,10701,4378,3982,4735,10531,10534,10903,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482])).
% 178.51/178.33 cnf(11488,plain,
% 178.51/178.33 (P34(x114881,x114882,x114883,f326(f326(f154(x114884,x114881),x114885),f114(x114884,f113(x114884))),f113(x114882))),
% 178.51/178.33 inference(scs_inference,[],[4739,3740,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,4670,10682,10782,11246,3298,3350,3464,10518,10521,10617,10620,3441,3961,3340,3401,3336,3363,3347,3973,3560,11091,3434,4138,4679,10509,4722,11272,3607,3398,10582,4282,4140,11292,11423,4741,11195,11436,4742,11325,4743,3419,3700,3866,3803,4018,3571,10601,10721,10799,10872,10875,10915,11015,11262,3954,3487,4715,10486,10489,10515,10642,10817,11023,11036,11153,4728,3941,3709,4088,3530,3532,3506,4712,4674,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,4244,4149,11088,4198,3867,4232,3884,10645,10742,11295,11376,4732,11039,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,3504,10637,10693,10927,11018,4711,10526,10558,11060,11104,3656,10787,10878,11148,11192,11426,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,3564,10909,10939,10948,10951,3596,4022,3959,10561,4721,10506,10897,10900,11395,3524,10942,11098,4323,4718,4030,4703,4706,3480,3484,4705,4704,4734,10808,4740,11281,11284,4106,3949,11211,11217,3799,11351,3951,10945,11314,3657,3765,10861,10864,10957,11124,4737,4738,10701,4378,3982,4735,10531,10534,10903,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505])).
% 178.51/178.33 cnf(11493,plain,
% 178.51/178.33 (~P106(f326(f326(f328(f921(f915(x114931),f915(x114931))),f326(f326(f251(f915(x114931),f915(x114931)),x114932),f113(x114931))),f157(x114931,x114933)))),
% 178.51/178.33 inference(rename_variables,[],[4743])).
% 178.51/178.33 cnf(11500,plain,
% 178.51/178.33 (~P106(f326(f326(f328(f921(f915(x115001),f915(x115001))),f326(f326(f251(f915(x115001),f915(x115001)),f113(x115001)),x115002)),f145(x115001,x115003)))),
% 178.51/178.33 inference(rename_variables,[],[4744])).
% 178.51/178.33 cnf(11505,plain,
% 178.51/178.33 (~P106(f326(f326(f328(f921(f922(x115051,a910),f922(x115051,a910))),f326(f326(f251(f922(x115051,a910),f922(x115051,a910)),x115052),f188(f922(x115051,a910)))),f313(x115051)))),
% 178.51/178.33 inference(scs_inference,[],[4739,3740,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,4670,10682,10782,11246,3298,3350,3464,10518,10521,10617,10620,3441,3961,3340,3401,3336,3363,3347,3973,3560,11091,3434,4138,4679,10509,4722,11272,3607,3398,10582,4282,4140,11292,11423,4741,11195,11436,4742,11325,4743,11442,4744,4745,3419,3700,3866,3803,4018,3571,10601,10721,10799,10872,10875,10915,11015,11262,3954,3487,4715,10486,10489,10515,10642,10817,11023,11036,11153,4728,3941,3709,4088,3530,3532,3506,4712,4674,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,4244,4149,11088,4198,3867,4232,3884,10645,10742,11295,11376,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,3504,10637,10693,10927,11018,4711,10526,10558,11060,11104,3656,10787,10878,11148,11192,11426,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,3564,10909,10939,10948,10951,3596,4022,3959,10561,4721,10506,10897,10900,11395,3524,10942,11098,4323,4718,4030,4703,4706,3480,3484,4705,4704,4734,10808,4740,11281,11284,4106,3949,11211,11217,3799,11351,3951,10945,11314,3657,3765,10861,10864,10957,11124,4737,4738,10701,4378,3982,4735,10531,10534,10903,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505,9532,9594,9599,9602,9639,9640,9641])).
% 178.51/178.33 cnf(11508,plain,
% 178.51/178.33 (P106(f326(f326(f328(x115081),x115082),f241(f922(x115081,a910))))),
% 178.51/178.33 inference(rename_variables,[],[3656])).
% 178.51/178.33 cnf(11513,plain,
% 178.51/178.33 (P106(f326(f326(f234(f922(x115131,a910)),f188(f922(x115131,a910))),x115132))),
% 178.51/178.33 inference(rename_variables,[],[3951])).
% 178.51/178.33 cnf(11516,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x115161),x115162),f188(f922(x115161,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11519,plain,
% 178.51/178.33 (P106(f326(f326(f234(f922(x115191,a910)),x115192),f241(f922(x115191,a910))))),
% 178.51/178.33 inference(rename_variables,[],[3884])).
% 178.51/178.33 cnf(11523,plain,
% 178.51/178.33 (P106(f326(f326(f234(f922(x115231,a910)),f326(f284(x115232,x115231,x115233),f188(f922(x115232,a910)))),x115234))),
% 178.51/178.33 inference(scs_inference,[],[4739,3740,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,4670,10682,10782,11246,3298,3350,3464,10518,10521,10617,10620,3441,3961,3340,3401,3336,3363,3347,3973,3560,11091,3434,4138,4679,10509,4722,11272,3607,3398,10582,4282,4140,11292,11423,4741,11195,11436,4742,11325,4743,11442,4744,4745,3419,3700,3866,3803,4018,3571,10601,10721,10799,10872,10875,10915,11015,11262,3954,3487,4715,10486,10489,10515,10642,10817,11023,11036,11153,4728,3941,3709,4088,3530,3532,3506,4712,4674,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,4244,4149,11088,4198,3867,4232,3884,10645,10742,11295,11376,11455,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,3504,10637,10693,10927,11018,4711,10526,10558,11060,11104,3656,10787,10878,11148,11192,11426,11429,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,3564,10909,10939,10948,10951,3596,4022,3959,10561,4721,10506,10897,10900,11395,3524,10942,11098,4323,4718,4030,4703,4706,3480,3484,4705,4704,4734,10808,4740,11281,11284,4106,3949,11211,11217,3799,11351,3951,10945,11314,11479,11513,3657,3765,10861,10864,10957,11124,4737,4738,10701,4378,4286,3982,4735,10531,10534,10903,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505,9532,9594,9599,9602,9639,9640,9641,9669,9670,9687,9708,9714,9726,9751])).
% 178.51/178.33 cnf(11524,plain,
% 178.51/178.33 (P106(f326(f326(f234(f922(x115241,a910)),f188(f922(x115241,a910))),x115242))),
% 178.51/178.33 inference(rename_variables,[],[3951])).
% 178.51/178.33 cnf(11537,plain,
% 178.51/178.33 (P106(f326(f241(f922(x115371,a910)),x115372))),
% 178.51/178.33 inference(rename_variables,[],[3564])).
% 178.51/178.33 cnf(11545,plain,
% 178.51/178.33 (~P106(f326(f326(f328(f921(f915(x115451),f915(x115451))),f326(f326(f251(f915(x115451),f915(x115451)),x115452),f113(x115451))),f145(x115451,x115453)))),
% 178.51/178.33 inference(rename_variables,[],[4741])).
% 178.51/178.33 cnf(11548,plain,
% 178.51/178.33 (~P106(f326(f326(f328(f921(f915(x115481),f915(x115481))),f326(f326(f251(f915(x115481),f915(x115481)),x115482),f113(x115481))),f147(x115481,x115483)))),
% 178.51/178.33 inference(rename_variables,[],[4742])).
% 178.51/178.33 cnf(11551,plain,
% 178.51/178.33 (~E(f326(f326(f151(x115511),x115512),x115513),x115513)),
% 178.51/178.33 inference(rename_variables,[],[4679])).
% 178.51/178.33 cnf(11554,plain,
% 178.51/178.33 (~E(f326(a112,x115541),x115541)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(11557,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x115571),x115572),f188(f922(x115571,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11562,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x115621),x115622),f188(f922(x115621,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11565,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x115651),x115652),f188(f922(x115651,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11568,plain,
% 178.51/178.33 (P106(f326(f326(f328(f921(f915(x115681),f915(x115681))),f326(f326(f251(f915(x115681),f915(x115681)),x115682),x115682)),f158(x115681,f306(x115681,x115683))))),
% 178.51/178.33 inference(rename_variables,[],[4275])).
% 178.51/178.33 cnf(11571,plain,
% 178.51/178.33 (~P106(f326(f326(f328(f921(f915(x115711),f915(x115711))),f326(f326(f251(f915(x115711),f915(x115711)),x115712),f113(x115711))),f145(x115711,x115713)))),
% 178.51/178.33 inference(rename_variables,[],[4741])).
% 178.51/178.33 cnf(11581,plain,
% 178.51/178.33 (~P106(f326(f326(f328(f921(x115811,x115811)),f326(f326(f251(x115811,x115811),x115812),x115813)),f153(x115811,f113(f922(x115811,a914)))))),
% 178.51/178.33 inference(rename_variables,[],[4740])).
% 178.51/178.33 cnf(11584,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x115841),x115842),f188(f922(x115841,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11587,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x115871),x115872),f188(f922(x115871,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11590,plain,
% 178.51/178.33 (P106(f326(f326(f328(x115901),x115902),f241(f922(x115901,a910))))),
% 178.51/178.33 inference(rename_variables,[],[3656])).
% 178.51/178.33 cnf(11593,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),x115931),f2(a914)))),
% 178.51/178.33 inference(rename_variables,[],[4715])).
% 178.51/178.33 cnf(11598,plain,
% 178.51/178.33 (~P106(f326(f326(f328(f921(x115981,x115981)),f326(f326(f251(x115981,x115981),x115982),x115983)),f153(x115981,f113(f922(x115981,a914)))))),
% 178.51/178.33 inference(rename_variables,[],[4740])).
% 178.51/178.33 cnf(11601,plain,
% 178.51/178.33 (~E(f326(f309(x116011,f922(x116011,a910),x116012),x116013),f326(f307(x116011),x116013))),
% 178.51/178.33 inference(rename_variables,[],[4722])).
% 178.51/178.33 cnf(11604,plain,
% 178.51/178.33 (~E(f326(f309(x116041,f922(x116041,a910),x116042),x116043),f326(f307(x116041),x116043))),
% 178.51/178.33 inference(rename_variables,[],[4722])).
% 178.51/178.33 cnf(11609,plain,
% 178.51/178.33 (~P106(f326(f326(f328(f921(f915(x116091),f915(x116091))),f326(f326(f251(f915(x116091),f915(x116091)),x116092),f113(x116091))),f145(x116091,x116093)))),
% 178.51/178.33 inference(rename_variables,[],[4741])).
% 178.51/178.33 cnf(11615,plain,
% 178.51/178.33 (~P106(f326(f326(f328(f921(f915(x116151),f915(x116151))),f326(f326(f251(f915(x116151),f915(x116151)),x116152),f113(x116151))),f145(x116151,x116153)))),
% 178.51/178.33 inference(rename_variables,[],[4741])).
% 178.51/178.33 cnf(11618,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x116181),x116182),f188(f922(x116181,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11620,plain,
% 178.51/178.33 (P106(f326(f326(f328(f921(x116201,x116202)),f326(f326(f251(x116201,x116202),f326(x116203,x116204)),f326(x116205,x116204))),f326(f309(f921(x116206,x116206),f921(x116201,x116202),f257(x116206,x116201,x116206,x116202,x116203,x116205)),f306(x116206,x116207))))),
% 178.51/178.33 inference(scs_inference,[],[4739,3740,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,4670,10682,10782,11246,3298,3350,3464,10518,10521,10617,10620,3441,3961,3340,3401,3336,3363,3347,3973,3560,11091,3434,4138,4679,10509,10679,4722,11272,11371,11601,3607,3398,10582,4282,4140,11292,11423,11482,4741,11195,11436,11545,11571,11609,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,3866,3803,4018,3571,10601,10721,10799,10872,10875,10915,11015,11262,3954,3487,4715,10486,10489,10515,10642,10817,11023,11036,11153,4728,3941,3709,4088,3530,3532,3506,4712,4674,4275,11568,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,4244,4149,11088,4198,3867,4232,3884,10645,10742,11295,11376,11455,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,3504,10637,10693,10927,11018,4711,10526,10558,11060,11104,3656,10787,10878,11148,11192,11426,11429,11508,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,3564,10909,10939,10948,10951,10954,3596,4022,3959,10561,4721,10506,10897,10900,11395,3524,10942,11098,4323,4718,4030,4703,4706,3480,3484,4705,4704,4734,10808,4740,11281,11284,11470,11581,4106,3949,11211,11217,3799,11351,3951,10945,11314,11479,11513,3657,3765,10861,10864,10957,11124,4737,4738,10701,4378,4286,3982,4735,10531,10534,10903,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505,9532,9594,9599,9602,9639,9640,9641,9669,9670,9687,9708,9714,9726,9751,9772,9781,9782,9783,9784,9799,9801,9806,9836,9837,9843,9844,9888,9889,9900,9901,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10122,10123,10125,10134,10135,10155,10160,10251])).
% 178.51/178.33 cnf(11623,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x116231),x116232),f188(f922(x116231,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11626,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x116261),x116262),f188(f922(x116261,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11629,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x116291),x116292),f188(f922(x116291,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11632,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x116321),x116322),f188(f922(x116321,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11635,plain,
% 178.51/178.33 (P106(f326(f326(f328(x116351),f326(x116352,x116353)),f326(f309(x116354,x116351,x116352),f241(f922(x116354,a910)))))),
% 178.51/178.33 inference(rename_variables,[],[4106])).
% 178.51/178.33 cnf(11638,plain,
% 178.51/178.33 (~P106(f326(f326(f328(f921(x116381,x116381)),f326(f326(f251(x116381,x116381),x116382),x116383)),f153(x116381,f113(f922(x116381,a914)))))),
% 178.51/178.33 inference(rename_variables,[],[4740])).
% 178.51/178.33 cnf(11646,plain,
% 178.51/178.33 (E(f114(x116461,f113(x116461)),f113(x116461))),
% 178.51/178.33 inference(rename_variables,[],[3350])).
% 178.51/178.33 cnf(11649,plain,
% 178.51/178.33 (~E(f326(a112,x116491),x116491)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(11656,plain,
% 178.51/178.33 (~E(f326(a112,x116561),x116561)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(11661,plain,
% 178.51/178.33 (E(f326(f283(x116611,x116611),f262(x116611,x116612)),x116612)),
% 178.51/178.33 inference(rename_variables,[],[3464])).
% 178.51/178.33 cnf(11664,plain,
% 178.51/178.33 (E(f326(f283(x116641,x116641),f262(x116641,x116642)),x116642)),
% 178.51/178.33 inference(rename_variables,[],[3464])).
% 178.51/178.33 cnf(11670,plain,
% 178.51/178.33 (~E(f326(a112,x116701),x116701)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(11675,plain,
% 178.51/178.33 (~E(f326(f326(f79(a1),x116751),x116751),a97)),
% 178.51/178.33 inference(rename_variables,[],[4677])).
% 178.51/178.33 cnf(11682,plain,
% 178.51/178.33 (E(f326(f326(f3(a914),f2(a914)),x116821),f2(a914))),
% 178.51/178.33 inference(rename_variables,[],[3420])).
% 178.51/178.33 cnf(11685,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),x116851),f2(a914)))),
% 178.51/178.33 inference(rename_variables,[],[4715])).
% 178.51/178.33 cnf(11692,plain,
% 178.51/178.33 (E(f326(f326(f79(a1),f326(f326(f80(a1),x116921),f326(f326(f36(a1),x116922),x116921))),f45(a1,x116922,x116921)),x116922)),
% 178.51/178.33 inference(rename_variables,[],[4055])).
% 178.51/178.33 cnf(11716,plain,
% 178.51/178.33 (~E(f326(a112,x117161),x117161)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(11719,plain,
% 178.51/178.33 (~E(f326(a112,x117191),x117191)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(11745,plain,
% 178.51/178.33 (~P106(f326(f326(f172(x117451),f113(x117451)),x117452))),
% 178.51/178.33 inference(rename_variables,[],[4720])).
% 178.51/178.33 cnf(11751,plain,
% 178.51/178.33 (P106(f326(f326(f235(a914),f2(a914)),f326(a112,x117511)))),
% 178.51/178.33 inference(rename_variables,[],[3583])).
% 178.51/178.33 cnf(11752,plain,
% 178.51/178.33 (~E(f326(a112,x117521),x117521)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(11755,plain,
% 178.51/178.33 (P106(f326(f326(f328(x117551),x117552),f241(f922(x117551,a910))))),
% 178.51/178.33 inference(rename_variables,[],[3656])).
% 178.51/178.33 cnf(11767,plain,
% 178.51/178.33 (~E(f326(a112,x117671),x117671)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(11770,plain,
% 178.51/178.33 (P106(f326(f326(f234(a1),x117701),x117701))),
% 178.51/178.33 inference(rename_variables,[],[3504])).
% 178.51/178.33 cnf(11777,plain,
% 178.51/178.33 (P106(f326(f66(x117771,x117772,x117773,x117774,f188(f922(x117771,a910))),x117774))),
% 178.51/178.33 inference(rename_variables,[],[4418])).
% 178.51/178.33 cnf(11778,plain,
% 178.51/178.33 (E(f326(f283(x117781,x117781),f262(x117781,x117782)),x117782)),
% 178.51/178.33 inference(rename_variables,[],[3464])).
% 178.51/178.33 cnf(11791,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),f326(f326(f79(a914),x117911),x117912)),x117912))),
% 178.51/178.33 inference(rename_variables,[],[4735])).
% 178.51/178.33 cnf(11794,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a1),f326(f100(a1),x117941)),f2(a1)))),
% 178.51/178.33 inference(rename_variables,[],[4728])).
% 178.51/178.33 cnf(11810,plain,
% 178.51/178.33 (~E(f326(f326(f101(a914),f326(a112,x118101)),x118101),f326(a112,x118101))),
% 178.51/178.33 inference(scs_inference,[],[4739,3740,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,3424,4670,10682,10782,11246,3117,3123,3127,3128,3135,3139,3150,3155,3161,3176,3181,3182,3183,3191,3210,3245,3254,3255,3265,3286,3298,4658,3350,11646,3464,10518,10521,10617,10620,10936,11661,11664,3441,3961,3340,4055,11692,3401,3336,3363,3347,3973,3560,11091,3434,4138,4679,10509,10679,4722,11272,11371,11601,11604,3607,3398,10582,10912,3399,3317,3420,11682,4282,4140,11292,11423,11482,4741,11195,11436,11545,11571,11609,11615,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,3866,4677,3803,4018,3571,10601,10721,10799,10872,10875,10915,11015,11262,3954,3487,3583,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,4728,3941,3709,4088,3530,3532,3506,4712,4674,3693,4729,4275,11568,3825,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,4244,4149,11088,4198,3867,4232,3884,10645,10742,11295,11376,11455,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,3504,10637,10693,10927,11018,11140,4711,10526,10558,11060,11104,3656,10787,10878,11148,11192,11426,11429,11508,11590,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,3564,10909,10939,10948,10951,10954,3596,4022,3959,10561,4721,10506,10897,10900,11395,11411,3524,10942,11098,4323,4718,4030,4703,4706,3480,3484,4705,4704,4418,4734,10808,10811,4740,11281,11284,11470,11581,11598,4106,3949,11211,11217,3799,11351,3951,10945,11314,11479,11513,3657,3765,10861,10864,10957,11124,4737,4738,10701,4378,4286,3982,4735,10531,10534,10903,10906,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505,9532,9594,9599,9602,9639,9640,9641,9669,9670,9687,9708,9714,9726,9751,9772,9781,9782,9783,9784,9799,9801,9806,9836,9837,9843,9844,9888,9889,9900,9901,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10122,10123,10125,10134,10135,10155,10160,10251,10346,10347,10348,10349,10413,10431,2,8,9,4765,4766,4784,4826,4828,4829,4852,4858,4859,4869,4914,4916,4964,5094,5095,5112,5136,5193,5194,5200,5201,5203,5205,5214,5217,5218,5226,5239,5240,5246,5267,5268,5286,5291,5292,5293,5294,5299,5307,5310,5317,5372,5377,5378,5383,5390,5421,5431,5436,5452,5469,5470,5477,5478,5479,5490,5508,5510,5511,5518,5525,5526,5538,5539,5540,5541,5544,5545,5549,5550])).
% 178.51/178.33 cnf(11817,plain,
% 178.51/178.33 (E(f326(f283(x118171,x118171),f262(x118171,x118172)),x118172)),
% 178.51/178.33 inference(rename_variables,[],[3464])).
% 178.51/178.33 cnf(11822,plain,
% 178.51/178.33 (E(f326(f283(x118221,x118221),f262(x118221,x118222)),x118222)),
% 178.51/178.33 inference(rename_variables,[],[3464])).
% 178.51/178.33 cnf(11825,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a1),f326(f100(a1),x118251)),f2(a1)))),
% 178.51/178.33 inference(rename_variables,[],[4728])).
% 178.51/178.33 cnf(11830,plain,
% 178.51/178.33 (~E(f326(a112,x118301),x118301)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(11839,plain,
% 178.51/178.33 (~P106(f326(f326(f172(x118391),f113(x118391)),x118392))),
% 178.51/178.33 inference(rename_variables,[],[4720])).
% 178.51/178.33 cnf(11860,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a1),f326(f100(a1),x118601)),f2(a1)))),
% 178.51/178.33 inference(rename_variables,[],[4728])).
% 178.51/178.33 cnf(11863,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),x118631),f2(a914)))),
% 178.51/178.33 inference(rename_variables,[],[4715])).
% 178.51/178.33 cnf(11864,plain,
% 178.51/178.33 (P106(f326(f326(f235(a914),x118641),f326(a112,x118641)))),
% 178.51/178.33 inference(rename_variables,[],[3571])).
% 178.51/178.33 cnf(11867,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a1),f326(f100(a1),x118671)),f2(a1)))),
% 178.51/178.33 inference(rename_variables,[],[4728])).
% 178.51/178.33 cnf(11869,plain,
% 178.51/178.33 (~P14(x118691,f328(f922(x118692,a910)))),
% 178.51/178.33 inference(scs_inference,[],[4739,3740,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,3424,4670,10682,10782,11246,3117,3123,3124,3127,3128,3135,3139,3140,3150,3151,3155,3161,3176,3181,3182,3183,3191,3210,3245,3254,3255,3265,3286,3298,4658,3350,11646,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,3441,3961,3340,4055,11692,3401,3336,3363,3359,3347,3348,3973,3560,11091,3434,4138,4679,10509,10679,4722,11272,11371,11601,11604,3607,3398,10582,10912,3399,3317,3420,11682,4282,4140,11292,11423,11482,4741,11195,11436,11545,11571,11609,11615,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,3866,4677,3803,4018,3571,10601,10721,10799,10872,10875,10915,11015,11262,3954,3487,3583,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,4728,11794,11825,11860,3941,3709,4088,3530,3532,3506,4712,4674,3693,4729,4275,11568,3825,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,4244,4149,11088,4198,3867,4232,3884,10645,10742,11295,11376,11455,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,3504,10637,10693,10927,11018,11140,4711,10526,10558,11060,11104,3656,10787,10878,11148,11192,11426,11429,11508,11590,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,3564,10909,10939,10948,10951,10954,3603,3596,4022,3959,10561,4721,10506,10897,10900,11395,11411,3524,10942,11098,4323,4718,4030,4703,4706,3480,3484,4705,4704,4418,4734,10808,10811,4740,11281,11284,11470,11581,11598,4106,3949,11211,11217,3799,11351,3951,10945,11314,11479,11513,3657,3765,10861,10864,10957,11124,4737,4738,10701,4378,4286,3982,4735,10531,10534,10903,10906,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505,9532,9594,9599,9602,9639,9640,9641,9669,9670,9687,9708,9714,9726,9751,9772,9781,9782,9783,9784,9799,9801,9806,9836,9837,9843,9844,9888,9889,9900,9901,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10122,10123,10125,10134,10135,10155,10160,10251,10346,10347,10348,10349,10413,10431,2,8,9,4765,4766,4784,4826,4828,4829,4852,4858,4859,4869,4914,4916,4964,5094,5095,5112,5136,5193,5194,5200,5201,5203,5205,5214,5217,5218,5226,5239,5240,5246,5267,5268,5286,5291,5292,5293,5294,5299,5307,5310,5317,5372,5377,5378,5383,5390,5421,5431,5436,5452,5469,5470,5477,5478,5479,5490,5508,5510,5511,5518,5525,5526,5538,5539,5540,5541,5544,5545,5549,5550,5551,5552,5582,5583,5584,5592,5593,5594,5595,5638,5643,5645,5681,5683,5684,5686,5687,5689,5690,5692,5701,5706,5707,5708,5710])).
% 178.51/178.33 cnf(11870,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x118701),x118702),f188(f922(x118701,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(11871,plain,
% 178.51/178.33 (P106(f326(f326(f328(f922(x118711,a910)),x118712),f326(f307(x118711),x118712)))),
% 178.51/178.33 inference(rename_variables,[],[3867])).
% 178.51/178.33 cnf(11886,plain,
% 178.51/178.33 (~P106(f326(f326(f234(a914),f326(a112,x118861)),x118861))),
% 178.51/178.33 inference(rename_variables,[],[4721])).
% 178.51/178.33 cnf(11887,plain,
% 178.51/178.33 (~E(f326(a112,x118871),x118871)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(11890,plain,
% 178.51/178.33 (E(f326(f283(x118901,x118901),f262(x118901,x118902)),x118902)),
% 178.51/178.33 inference(rename_variables,[],[3464])).
% 178.51/178.33 cnf(11900,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),f326(f326(f79(a914),x119001),x119002)),x119001))),
% 178.51/178.33 inference(rename_variables,[],[4736])).
% 178.51/178.33 cnf(11903,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a1),f326(f100(a1),x119031)),f2(a1)))),
% 178.51/178.33 inference(rename_variables,[],[4728])).
% 178.51/178.33 cnf(11906,plain,
% 178.51/178.33 (~E(f326(a112,x119061),x119061)),
% 178.51/178.33 inference(rename_variables,[],[4660])).
% 178.51/178.33 cnf(11919,plain,
% 178.51/178.33 (P106(f326(f326(f328(x119191),x119192),f326(f326(f308(x119191),x119192),x119193)))),
% 178.51/178.33 inference(rename_variables,[],[3815])).
% 178.51/178.33 cnf(11920,plain,
% 178.51/178.33 (~P106(f326(f326(f234(a1),f2(a1)),f326(f78(a1),f326(f100(a1),f326(a112,x119201)))))),
% 178.51/178.33 inference(rename_variables,[],[4737])).
% 178.51/178.33 cnf(11923,plain,
% 178.51/178.33 (P106(f326(f326(f235(a914),f326(f326(f3(a914),x119231),x119232)),f326(a112,x119231)))),
% 178.51/178.33 inference(rename_variables,[],[3954])).
% 178.51/178.33 cnf(11926,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),f45(a914,x119261,x119262)),x119261))),
% 178.51/178.33 inference(rename_variables,[],[3959])).
% 178.51/178.33 cnf(11932,plain,
% 178.51/178.33 (E(f326(f283(x119321,x119321),f262(x119321,x119322)),x119322)),
% 178.51/178.33 inference(rename_variables,[],[3464])).
% 178.51/178.33 cnf(11937,plain,
% 178.51/178.33 (E(f326(f326(f134(x119371),f169(x119371,x119372,x119373)),f169(x119371,x119374,x119373)),f326(f326(f134(x119371),f169(x119371,x119374,x119373)),f169(x119371,x119372,x119373)))),
% 178.51/178.33 inference(rename_variables,[],[4069])).
% 178.51/178.33 cnf(11942,plain,
% 178.51/178.33 (~P106(f326(f326(f234(a914),f326(a112,x119421)),x119421))),
% 178.51/178.33 inference(rename_variables,[],[4721])).
% 178.51/178.33 cnf(11951,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),x119511),x119511))),
% 178.51/178.33 inference(rename_variables,[],[4711])).
% 178.51/178.33 cnf(11954,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),f45(a914,x119541,x119542)),x119541))),
% 178.51/178.33 inference(rename_variables,[],[3959])).
% 178.51/178.33 cnf(11955,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),f2(a914)),x119551))),
% 178.51/178.33 inference(rename_variables,[],[3524])).
% 178.51/178.33 cnf(11972,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),x119721),x119721))),
% 178.51/178.33 inference(rename_variables,[],[4711])).
% 178.51/178.33 cnf(11975,plain,
% 178.51/178.33 (P106(f326(f326(f328(x119751),f326(x119752,x119753)),f326(f309(x119754,x119751,x119752),f241(f922(x119754,a910)))))),
% 178.51/178.33 inference(rename_variables,[],[4106])).
% 178.51/178.33 cnf(11976,plain,
% 178.51/178.33 (~P106(f326(f326(f234(a914),f326(a112,x119761)),x119761))),
% 178.51/178.33 inference(rename_variables,[],[4721])).
% 178.51/178.33 cnf(11979,plain,
% 178.51/178.33 (P106(f326(f326(f328(x119791),f326(x119792,x119793)),f326(f309(x119794,x119791,x119792),f241(f922(x119794,a910)))))),
% 178.51/178.33 inference(rename_variables,[],[4106])).
% 178.51/178.33 cnf(11980,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),f326(f326(f79(a914),x119801),x119802)),x119802))),
% 178.51/178.33 inference(rename_variables,[],[4735])).
% 178.51/178.33 cnf(11985,plain,
% 178.51/178.33 (~P106(f326(f326(f235(a914),f326(f326(f79(a914),x119851),x119852)),x119851))),
% 178.51/178.33 inference(rename_variables,[],[4736])).
% 178.51/178.33 cnf(11988,plain,
% 178.51/178.33 (~P106(f326(f326(f172(x119881),f113(x119881)),x119882))),
% 178.51/178.33 inference(rename_variables,[],[4720])).
% 178.51/178.33 cnf(11991,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),x119911),x119911))),
% 178.51/178.33 inference(rename_variables,[],[3503])).
% 178.51/178.33 cnf(11997,plain,
% 178.51/178.33 (~P35(x119971,x119972,f113(x119971))),
% 178.51/178.33 inference(rename_variables,[],[4690])).
% 178.51/178.33 cnf(12000,plain,
% 178.51/178.33 (P106(f326(f326(f328(x120001),x120002),f241(f922(x120001,a910))))),
% 178.51/178.33 inference(rename_variables,[],[3656])).
% 178.51/178.33 cnf(12001,plain,
% 178.51/178.33 (~P106(f326(f326(f234(a914),f326(a112,x120011)),x120011))),
% 178.51/178.33 inference(rename_variables,[],[4721])).
% 178.51/178.33 cnf(12014,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x120141),x120142),f188(f922(x120141,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(12017,plain,
% 178.51/178.33 (E(f326(f326(f18(x120171,x120172),x120173),x120174),x120173)),
% 178.51/178.33 inference(rename_variables,[],[3494])).
% 178.51/178.33 cnf(12020,plain,
% 178.51/178.33 (E(f326(f326(f18(x120201,x120202),x120203),x120204),x120203)),
% 178.51/178.33 inference(rename_variables,[],[3494])).
% 178.51/178.33 cnf(12032,plain,
% 178.51/178.33 (P106(f326(f326(f235(a914),f2(a914)),f326(a112,x120321)))),
% 178.51/178.33 inference(rename_variables,[],[3583])).
% 178.51/178.33 cnf(12035,plain,
% 178.51/178.33 (P106(f326(f326(f234(a914),x120351),x120351))),
% 178.51/178.33 inference(rename_variables,[],[3503])).
% 178.51/178.33 cnf(12038,plain,
% 178.51/178.33 (P106(f326(f61(x120381),f326(f172(x120381),x120382)))),
% 178.51/178.33 inference(rename_variables,[],[3543])).
% 178.51/178.33 cnf(12041,plain,
% 178.51/178.33 (P106(f326(f61(x120411),f326(f172(x120411),x120412)))),
% 178.51/178.33 inference(rename_variables,[],[3543])).
% 178.51/178.33 cnf(12044,plain,
% 178.51/178.33 (P106(f326(f326(f234(a1),f326(f78(a1),f326(f100(a1),x120441))),f326(f100(a1),x120442)))),
% 178.51/178.33 inference(rename_variables,[],[3983])).
% 178.51/178.33 cnf(12047,plain,
% 178.51/178.33 (~P106(f326(f326(f328(x120471),x120472),f188(f922(x120471,a910))))),
% 178.51/178.33 inference(rename_variables,[],[4724])).
% 178.51/178.33 cnf(12061,plain,
% 178.51/178.33 (~P106(f326(f326(f328(a914),f2(a914)),f326(f303(a914),x120611)))),
% 178.51/178.33 inference(scs_inference,[],[4739,3740,4689,4690,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,3424,4670,10682,10782,11246,3116,3117,3120,3123,3124,3127,3128,3135,3139,3140,3150,3151,3155,3161,3176,3181,3182,3183,3190,3191,3210,3245,3254,3255,3257,3265,3286,3298,4658,4069,11937,3350,11646,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,3441,3961,3340,3702,4055,11692,3401,3336,3363,3359,3347,3348,3973,3560,11091,3434,4138,4679,10509,10679,3494,12017,4722,11272,11371,11601,11604,3607,3398,10582,10912,3399,3661,3317,3420,11682,4282,4140,11292,11423,11482,4741,11195,11436,11545,11571,11609,11615,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,3866,4555,4556,4677,3803,4018,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,3954,11923,3487,3583,11751,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,4728,11794,11825,11860,11867,3941,3709,4088,3530,3532,3506,4712,4674,3693,4729,4275,11568,3825,3543,12038,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,4244,4149,11088,4198,3867,4232,3884,10645,10742,11295,11376,11455,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,3504,10637,10693,10927,11018,11140,3579,4711,10526,10558,11060,11104,11113,11951,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,3564,10909,10939,10948,10951,10954,3603,3596,4022,3959,10561,11926,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,3524,10942,11098,11168,3983,4323,4718,4030,4703,4706,3480,3484,4705,4704,3815,4418,4734,10808,10811,4740,11281,11284,11470,11581,11598,4106,11635,11975,3949,11211,11217,3799,11351,3951,10945,11314,11479,11513,3657,3765,10861,10864,10957,11124,4737,11920,4738,10701,4378,4286,3982,3927,4735,10531,10534,10903,10906,11791,4736,11900,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505,9532,9594,9599,9602,9639,9640,9641,9669,9670,9687,9708,9714,9726,9751,9772,9781,9782,9783,9784,9799,9801,9806,9836,9837,9843,9844,9888,9889,9900,9901,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10122,10123,10125,10134,10135,10155,10160,10251,10346,10347,10348,10349,10413,10431,2,8,9,4765,4766,4784,4826,4828,4829,4852,4858,4859,4869,4914,4916,4964,5094,5095,5112,5136,5193,5194,5200,5201,5203,5205,5214,5217,5218,5226,5239,5240,5246,5267,5268,5286,5291,5292,5293,5294,5299,5307,5310,5317,5372,5377,5378,5383,5390,5421,5431,5436,5452,5469,5470,5477,5478,5479,5490,5508,5510,5511,5518,5525,5526,5538,5539,5540,5541,5544,5545,5549,5550,5551,5552,5582,5583,5584,5592,5593,5594,5595,5638,5643,5645,5681,5683,5684,5686,5687,5689,5690,5692,5701,5706,5707,5708,5710,5712,5713,5714,5715,5716,5717,5726,5727,5737,5740,5751,5767,5768,5771,5781,5783,5784,5785,5812,5822,5837,5838,5847,5848,5850,5852,5857,5892,5897,5899,5958,5993,5994,6008,6014,6017,6018,6019,6020,6039,6043,6044,6053,6075,6104,6123,6127,6128,6130,6153,6157,6160,6161,6162,6177,6187,6188,6220,6221,6225,6247,6250,6253,6275,6276,6304,6307,6316,6326,6335,6339,6347,6348,6349])).
% 178.51/178.33 cnf(12063,plain,
% 178.51/178.33 (~P106(f326(f326(f328(a914),x120631),f326(f281(a914),f2(a914))))),
% 178.51/178.33 inference(scs_inference,[],[4739,3740,4689,4690,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,3424,4670,10682,10782,11246,3116,3117,3120,3123,3124,3127,3128,3135,3139,3140,3150,3151,3155,3161,3176,3181,3182,3183,3190,3191,3210,3245,3254,3255,3257,3265,3286,3298,4658,4069,11937,3350,11646,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,3441,3961,3340,3702,4055,11692,3401,3336,3363,3359,3347,3348,3973,3560,11091,3434,4138,4679,10509,10679,3494,12017,4722,11272,11371,11601,11604,3607,3398,10582,10912,3399,3661,3317,3420,11682,4282,4140,11292,11423,11482,4741,11195,11436,11545,11571,11609,11615,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,3866,4555,4556,4677,3803,4018,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,3954,11923,3487,3583,11751,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,4728,11794,11825,11860,11867,3941,3709,4088,3530,3532,3506,4712,4674,3693,4729,4275,11568,3825,3543,12038,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,4244,4149,11088,4198,3867,4232,3884,10645,10742,11295,11376,11455,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,3504,10637,10693,10927,11018,11140,3579,4711,10526,10558,11060,11104,11113,11951,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,3564,10909,10939,10948,10951,10954,3603,3596,4022,3959,10561,11926,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,3524,10942,11098,11168,3983,4323,4718,4030,4703,4706,3480,3484,4705,4704,3815,4418,4734,10808,10811,4740,11281,11284,11470,11581,11598,4106,11635,11975,3949,11211,11217,3799,11351,3951,10945,11314,11479,11513,3657,3765,10861,10864,10957,11124,4737,11920,4738,10701,4378,4286,3982,3927,4735,10531,10534,10903,10906,11791,4736,11900,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505,9532,9594,9599,9602,9639,9640,9641,9669,9670,9687,9708,9714,9726,9751,9772,9781,9782,9783,9784,9799,9801,9806,9836,9837,9843,9844,9888,9889,9900,9901,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10122,10123,10125,10134,10135,10155,10160,10251,10346,10347,10348,10349,10413,10431,2,8,9,4765,4766,4784,4826,4828,4829,4852,4858,4859,4869,4914,4916,4964,5094,5095,5112,5136,5193,5194,5200,5201,5203,5205,5214,5217,5218,5226,5239,5240,5246,5267,5268,5286,5291,5292,5293,5294,5299,5307,5310,5317,5372,5377,5378,5383,5390,5421,5431,5436,5452,5469,5470,5477,5478,5479,5490,5508,5510,5511,5518,5525,5526,5538,5539,5540,5541,5544,5545,5549,5550,5551,5552,5582,5583,5584,5592,5593,5594,5595,5638,5643,5645,5681,5683,5684,5686,5687,5689,5690,5692,5701,5706,5707,5708,5710,5712,5713,5714,5715,5716,5717,5726,5727,5737,5740,5751,5767,5768,5771,5781,5783,5784,5785,5812,5822,5837,5838,5847,5848,5850,5852,5857,5892,5897,5899,5958,5993,5994,6008,6014,6017,6018,6019,6020,6039,6043,6044,6053,6075,6104,6123,6127,6128,6130,6153,6157,6160,6161,6162,6177,6187,6188,6220,6221,6225,6247,6250,6253,6275,6276,6304,6307,6316,6326,6335,6339,6347,6348,6349,6350])).
% 178.51/178.33 cnf(12065,plain,
% 178.51/178.33 (P106(f326(f326(f234(a1),f45(a914,x120651,f188(a914))),x120651))),
% 178.51/178.33 inference(scs_inference,[],[4739,3740,4689,4690,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,3424,4670,10682,10782,11246,3116,3117,3120,3123,3124,3127,3128,3135,3139,3140,3150,3151,3155,3161,3176,3181,3182,3183,3190,3191,3210,3245,3254,3255,3257,3265,3286,3298,4658,4069,11937,3350,11646,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,3441,3961,3340,3702,4055,11692,3401,3336,3363,3359,3347,3348,3973,3560,11091,3434,4138,4679,10509,10679,3494,12017,4722,11272,11371,11601,11604,3607,3398,10582,10912,3399,3661,3317,3420,11682,4282,4140,11292,11423,11482,4741,11195,11436,11545,11571,11609,11615,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,3866,4555,4556,4677,3803,4018,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,3954,11923,3487,3583,11751,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,4728,11794,11825,11860,11867,3941,3709,4088,3530,3532,3506,4712,4674,3693,4729,4275,11568,3825,3543,12038,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,4244,4149,11088,4198,3867,4232,3884,10645,10742,11295,11376,11455,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,3504,10637,10693,10927,11018,11140,11770,3579,4711,10526,10558,11060,11104,11113,11951,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,3564,10909,10939,10948,10951,10954,3603,3596,4022,3959,10561,11926,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,3524,10942,11098,11168,3983,4323,4718,4030,4703,4706,3480,3484,4705,4704,3815,4418,4734,10808,10811,4740,11281,11284,11470,11581,11598,4106,11635,11975,3949,11211,11217,3799,11351,3951,10945,11314,11479,11513,3657,3765,10861,10864,10957,11124,4737,11920,4738,10701,4378,4286,3982,3927,4735,10531,10534,10903,10906,11791,4736,11900,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505,9532,9594,9599,9602,9639,9640,9641,9669,9670,9687,9708,9714,9726,9751,9772,9781,9782,9783,9784,9799,9801,9806,9836,9837,9843,9844,9888,9889,9900,9901,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10122,10123,10125,10134,10135,10155,10160,10251,10346,10347,10348,10349,10413,10431,2,8,9,4765,4766,4784,4826,4828,4829,4852,4858,4859,4869,4914,4916,4964,5094,5095,5112,5136,5193,5194,5200,5201,5203,5205,5214,5217,5218,5226,5239,5240,5246,5267,5268,5286,5291,5292,5293,5294,5299,5307,5310,5317,5372,5377,5378,5383,5390,5421,5431,5436,5452,5469,5470,5477,5478,5479,5490,5508,5510,5511,5518,5525,5526,5538,5539,5540,5541,5544,5545,5549,5550,5551,5552,5582,5583,5584,5592,5593,5594,5595,5638,5643,5645,5681,5683,5684,5686,5687,5689,5690,5692,5701,5706,5707,5708,5710,5712,5713,5714,5715,5716,5717,5726,5727,5737,5740,5751,5767,5768,5771,5781,5783,5784,5785,5812,5822,5837,5838,5847,5848,5850,5852,5857,5892,5897,5899,5958,5993,5994,6008,6014,6017,6018,6019,6020,6039,6043,6044,6053,6075,6104,6123,6127,6128,6130,6153,6157,6160,6161,6162,6177,6187,6188,6220,6221,6225,6247,6250,6253,6275,6276,6304,6307,6316,6326,6335,6339,6347,6348,6349,6350,6381])).
% 178.61/178.33 cnf(12066,plain,
% 178.61/178.33 (P106(f326(f326(f234(a1),x120661),x120661))),
% 178.61/178.33 inference(rename_variables,[],[3504])).
% 178.61/178.33 cnf(12069,plain,
% 178.61/178.33 (P106(f326(f326(f235(a914),x120691),f326(a112,x120691)))),
% 178.61/178.33 inference(rename_variables,[],[3571])).
% 178.61/178.33 cnf(12072,plain,
% 178.61/178.33 (P106(f326(f326(f234(a1),x120721),x120721))),
% 178.61/178.33 inference(rename_variables,[],[3504])).
% 178.61/178.33 cnf(12081,plain,
% 178.61/178.33 (P106(f326(f326(f234(a1),x120811),x120811))),
% 178.61/178.33 inference(rename_variables,[],[3504])).
% 178.61/178.33 cnf(12084,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x120841),f2(a914)))),
% 178.61/178.33 inference(rename_variables,[],[4715])).
% 178.61/178.33 cnf(12089,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x120891),f2(a914)))),
% 178.61/178.33 inference(rename_variables,[],[4715])).
% 178.61/178.33 cnf(12098,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),f2(a914)),x120981))),
% 178.61/178.33 inference(rename_variables,[],[3524])).
% 178.61/178.33 cnf(12099,plain,
% 178.61/178.33 (~P106(f326(f326(f234(a914),f326(a112,x120991)),x120991))),
% 178.61/178.33 inference(rename_variables,[],[4721])).
% 178.61/178.33 cnf(12102,plain,
% 178.61/178.33 (~P106(f326(f326(f172(x121021),f113(x121021)),x121022))),
% 178.61/178.33 inference(rename_variables,[],[4720])).
% 178.61/178.33 cnf(12105,plain,
% 178.61/178.33 (~P106(f326(f326(f172(x121051),f113(x121051)),x121052))),
% 178.61/178.33 inference(rename_variables,[],[4720])).
% 178.61/178.33 cnf(12121,plain,
% 178.61/178.33 (P106(f326(f326(f235(a1),f326(f78(a1),f77(a1))),f2(a1)))),
% 178.61/178.33 inference(scs_inference,[],[4739,3740,4689,4690,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,3424,4670,10682,10782,11246,3116,3117,3120,3123,3124,3127,3128,3135,3139,3140,3141,3150,3151,3155,3161,3176,3181,3182,3183,3190,3191,3200,3210,3245,3250,3254,3255,3257,3265,3286,3298,4658,4069,11937,3350,11646,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,3441,3961,3340,3702,4055,11692,3401,3336,3363,3359,3347,3348,3973,3560,11091,3434,4138,4679,10509,10679,3494,12017,4722,11272,11371,11601,11604,3607,3398,10582,10912,3399,3661,3317,3420,11682,4282,4140,11292,11423,11482,4741,11195,11436,11545,11571,11609,11615,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,3866,4555,4556,4677,3803,4018,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,3954,11923,3487,3583,11751,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,12084,12089,4728,11794,11825,11860,11867,11903,3941,3709,4088,3530,3532,3506,4712,4674,3693,4729,4275,11568,3825,3543,12038,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,11988,12102,4244,4149,11088,4198,3867,4232,3884,10645,10742,11295,11376,11455,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,3504,10637,10693,10927,11018,11140,11770,12066,12072,3579,4711,10526,10558,11060,11104,11113,11951,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,3564,10909,10939,10948,10951,10954,3603,3596,4022,3959,10561,11926,11954,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,3524,10942,11098,11168,11955,3983,4323,4718,4030,4703,4706,3480,3484,4705,4704,3815,4418,4734,10808,10811,4740,11281,11284,11470,11581,11598,4106,11635,11975,3949,11211,11217,3799,11351,3951,10945,11314,11479,11513,3657,3765,10861,10864,10957,11124,4737,11920,4738,10701,4378,4286,3982,3927,4735,10531,10534,10903,10906,11791,4736,11900,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505,9532,9594,9599,9602,9639,9640,9641,9669,9670,9687,9708,9714,9726,9751,9772,9781,9782,9783,9784,9799,9801,9806,9836,9837,9843,9844,9888,9889,9900,9901,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10122,10123,10125,10134,10135,10155,10160,10251,10346,10347,10348,10349,10413,10431,2,8,9,4765,4766,4784,4826,4828,4829,4852,4858,4859,4869,4914,4916,4964,5094,5095,5112,5136,5193,5194,5200,5201,5203,5205,5214,5217,5218,5226,5239,5240,5246,5267,5268,5286,5291,5292,5293,5294,5299,5307,5310,5317,5372,5377,5378,5383,5390,5421,5431,5436,5452,5469,5470,5477,5478,5479,5490,5508,5510,5511,5518,5525,5526,5538,5539,5540,5541,5544,5545,5549,5550,5551,5552,5582,5583,5584,5592,5593,5594,5595,5638,5643,5645,5681,5683,5684,5686,5687,5689,5690,5692,5701,5706,5707,5708,5710,5712,5713,5714,5715,5716,5717,5726,5727,5737,5740,5751,5767,5768,5771,5781,5783,5784,5785,5812,5822,5837,5838,5847,5848,5850,5852,5857,5892,5897,5899,5958,5993,5994,6008,6014,6017,6018,6019,6020,6039,6043,6044,6053,6075,6104,6123,6127,6128,6130,6153,6157,6160,6161,6162,6177,6187,6188,6220,6221,6225,6247,6250,6253,6275,6276,6304,6307,6316,6326,6335,6339,6347,6348,6349,6350,6381,6382,6399,6452,6489,6491,6513,6514,6521,6525,6526,6530,6544,6560,6581,6582,6587,6598,6613,6633,6639,6641,6656,6657])).
% 178.61/178.33 cnf(12124,plain,
% 178.61/178.33 (~P106(f326(f326(f234(a914),f326(a112,x121241)),x121241))),
% 178.61/178.33 inference(rename_variables,[],[4721])).
% 178.61/178.33 cnf(12127,plain,
% 178.61/178.33 (~P106(f326(f326(f234(a914),f326(a112,x121271)),x121271))),
% 178.61/178.33 inference(rename_variables,[],[4721])).
% 178.61/178.33 cnf(12130,plain,
% 178.61/178.33 (~P106(f326(f326(f234(a914),f326(a112,x121301)),x121301))),
% 178.61/178.33 inference(rename_variables,[],[4721])).
% 178.61/178.33 cnf(12133,plain,
% 178.61/178.33 (~P106(f326(f326(f234(a914),f326(a112,x121331)),x121331))),
% 178.61/178.33 inference(rename_variables,[],[4721])).
% 178.61/178.33 cnf(12136,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x121361),x121361))),
% 178.61/178.33 inference(rename_variables,[],[4711])).
% 178.61/178.33 cnf(12139,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x121391),x121391))),
% 178.61/178.33 inference(rename_variables,[],[4711])).
% 178.61/178.33 cnf(12142,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x121421),x121421))),
% 178.61/178.33 inference(rename_variables,[],[4711])).
% 178.61/178.33 cnf(12145,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x121451),x121451))),
% 178.61/178.33 inference(rename_variables,[],[4711])).
% 178.61/178.33 cnf(12161,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),f326(f326(f3(a914),x121611),f326(a112,x121611))),f2(a914)))),
% 178.61/178.33 inference(scs_inference,[],[4739,3740,4689,4690,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,3424,4670,10682,10782,11246,3116,3117,3120,3123,3124,3127,3128,3135,3139,3140,3141,3150,3151,3155,3161,3176,3181,3182,3183,3190,3191,3200,3210,3245,3250,3254,3255,3257,3265,3286,3298,4658,4069,11937,3350,11646,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,3441,3961,3340,3702,4055,11692,3401,3336,3363,3359,3347,3348,3973,3560,11091,3434,4138,4679,10509,10679,3494,12017,4722,11272,11371,11601,11604,3607,3398,10582,10912,3399,3661,3317,3420,11682,4282,4140,11292,11423,11482,4741,11195,11436,11545,11571,11609,11615,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,3866,4555,4556,4677,3803,4018,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,12069,3954,11923,3487,3583,11751,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,12084,12089,4728,11794,11825,11860,11867,11903,3941,3709,4088,3530,3532,3506,4712,4674,3693,4729,4275,11568,3825,3543,12038,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,11988,12102,4244,4149,11088,4198,3867,4232,3884,10645,10742,11295,11376,11455,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,12035,3504,10637,10693,10927,11018,11140,11770,12066,12072,3579,4711,10526,10558,11060,11104,11113,11951,11972,12136,12139,12142,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,3564,10909,10939,10948,10951,10954,3603,3596,4022,3959,10561,11926,11954,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,12099,12124,12127,12130,3524,10942,11098,11168,11955,3983,4323,4718,4030,4703,4706,3480,3484,4705,4704,3815,4418,4734,10808,10811,4740,11281,11284,11470,11581,11598,4106,11635,11975,3949,11211,11217,3799,11351,3951,10945,11314,11479,11513,3657,3765,10861,10864,10957,11124,4737,11920,4738,10701,4378,4286,3982,3927,4735,10531,10534,10903,10906,11791,4736,11900,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505,9532,9594,9599,9602,9639,9640,9641,9669,9670,9687,9708,9714,9726,9751,9772,9781,9782,9783,9784,9799,9801,9806,9836,9837,9843,9844,9888,9889,9900,9901,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10122,10123,10125,10134,10135,10155,10160,10251,10346,10347,10348,10349,10413,10431,2,8,9,4765,4766,4784,4826,4828,4829,4852,4858,4859,4869,4914,4916,4964,5094,5095,5112,5136,5193,5194,5200,5201,5203,5205,5214,5217,5218,5226,5239,5240,5246,5267,5268,5286,5291,5292,5293,5294,5299,5307,5310,5317,5372,5377,5378,5383,5390,5421,5431,5436,5452,5469,5470,5477,5478,5479,5490,5508,5510,5511,5518,5525,5526,5538,5539,5540,5541,5544,5545,5549,5550,5551,5552,5582,5583,5584,5592,5593,5594,5595,5638,5643,5645,5681,5683,5684,5686,5687,5689,5690,5692,5701,5706,5707,5708,5710,5712,5713,5714,5715,5716,5717,5726,5727,5737,5740,5751,5767,5768,5771,5781,5783,5784,5785,5812,5822,5837,5838,5847,5848,5850,5852,5857,5892,5897,5899,5958,5993,5994,6008,6014,6017,6018,6019,6020,6039,6043,6044,6053,6075,6104,6123,6127,6128,6130,6153,6157,6160,6161,6162,6177,6187,6188,6220,6221,6225,6247,6250,6253,6275,6276,6304,6307,6316,6326,6335,6339,6347,6348,6349,6350,6381,6382,6399,6452,6489,6491,6513,6514,6521,6525,6526,6530,6544,6560,6581,6582,6587,6598,6613,6633,6639,6641,6656,6657,6660,6661,6663,6665,6666,6667,6669,6671,6675,6681,6682,6684,6685,6691,6693,6735])).
% 178.61/178.33 cnf(12162,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x121621),x121621))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(12165,plain,
% 178.61/178.33 (P24(a914,a914,a112,x121651)),
% 178.61/178.33 inference(rename_variables,[],[3708])).
% 178.61/178.33 cnf(12168,plain,
% 178.61/178.33 (P106(f326(f326(f234(a1),x121681),x121681))),
% 178.61/178.33 inference(rename_variables,[],[3504])).
% 178.61/178.33 cnf(12179,plain,
% 178.61/178.33 (P106(f326(f326(f234(a1),x121791),x121791))),
% 178.61/178.33 inference(rename_variables,[],[3504])).
% 178.61/178.33 cnf(12182,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(f921(f915(x121821),f915(x121821)),a910)),f158(x121821,x121822)),f306(f915(x121821),f157(x121821,x121822))))),
% 178.61/178.33 inference(rename_variables,[],[4203])).
% 178.61/178.33 cnf(12189,plain,
% 178.61/178.33 (P106(f326(f326(f235(a914),x121891),f326(a112,x121891)))),
% 178.61/178.33 inference(rename_variables,[],[3571])).
% 178.61/178.33 cnf(12192,plain,
% 178.61/178.33 (P106(f326(f326(f328(f922(x121921,a910)),x121922),f326(f307(x121921),x121922)))),
% 178.61/178.33 inference(rename_variables,[],[3867])).
% 178.61/178.33 cnf(12193,plain,
% 178.61/178.33 (~E(f326(a112,x121931),x121931)),
% 178.61/178.33 inference(rename_variables,[],[4660])).
% 178.61/178.33 cnf(12198,plain,
% 178.61/178.33 (P106(f326(f326(f234(a1),x121981),x121981))),
% 178.61/178.33 inference(rename_variables,[],[3504])).
% 178.61/178.33 cnf(12203,plain,
% 178.61/178.33 (P106(f326(f326(f234(a1),x122031),x122031))),
% 178.61/178.33 inference(rename_variables,[],[3504])).
% 178.61/178.33 cnf(12214,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x122141,a910)),x122142),f326(f326(f308(x122141),x122143),x122142)))),
% 178.61/178.33 inference(rename_variables,[],[3949])).
% 178.61/178.33 cnf(12217,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x122171),x122171))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(12218,plain,
% 178.61/178.33 (~E(f326(a112,x122181),x122181)),
% 178.61/178.33 inference(rename_variables,[],[4660])).
% 178.61/178.33 cnf(12229,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x122291),x122291))),
% 178.61/178.33 inference(rename_variables,[],[4711])).
% 178.61/178.33 cnf(12230,plain,
% 178.61/178.33 (~E(f326(a112,x122301),x122301)),
% 178.61/178.33 inference(rename_variables,[],[4660])).
% 178.61/178.33 cnf(12233,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x122331),x122331))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(12236,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x122361),x122361))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(12239,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x122391),x122391))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(12242,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x122421),x122421))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(12245,plain,
% 178.61/178.33 (P106(f326(f326(f234(a1),x122451),x122451))),
% 178.61/178.33 inference(rename_variables,[],[3504])).
% 178.61/178.33 cnf(12248,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x122481),x122481))),
% 178.61/178.33 inference(rename_variables,[],[4711])).
% 178.61/178.33 cnf(12251,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x122511),x122511))),
% 178.61/178.33 inference(rename_variables,[],[4711])).
% 178.61/178.33 cnf(12252,plain,
% 178.61/178.33 (P106(f326(f326(f235(a914),x122521),f326(a112,x122521)))),
% 178.61/178.33 inference(rename_variables,[],[3571])).
% 178.61/178.33 cnf(12259,plain,
% 178.61/178.33 (~E(f326(a112,x122591),x122591)),
% 178.61/178.33 inference(rename_variables,[],[4660])).
% 178.61/178.33 cnf(12264,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x122641),x122641))),
% 178.61/178.33 inference(rename_variables,[],[4711])).
% 178.61/178.33 cnf(12265,plain,
% 178.61/178.33 (~E(f326(a112,x122651),x122651)),
% 178.61/178.33 inference(rename_variables,[],[4660])).
% 178.61/178.33 cnf(12268,plain,
% 178.61/178.33 (P106(f326(f326(f234(a1),x122681),x122681))),
% 178.61/178.33 inference(rename_variables,[],[3504])).
% 178.61/178.33 cnf(12285,plain,
% 178.61/178.33 (P106(f326(f326(f234(a1),x122851),x122851))),
% 178.61/178.33 inference(rename_variables,[],[3504])).
% 178.61/178.33 cnf(12290,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),f2(a914)),x122901))),
% 178.61/178.33 inference(rename_variables,[],[3524])).
% 178.61/178.33 cnf(12304,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x123041),f2(a914)))),
% 178.61/178.33 inference(rename_variables,[],[4715])).
% 178.61/178.33 cnf(12307,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x123071),f2(a914)))),
% 178.61/178.33 inference(rename_variables,[],[4715])).
% 178.61/178.33 cnf(12310,plain,
% 178.61/178.33 (~P106(f326(f326(f328(x123101),x123102),f188(f922(x123101,a910))))),
% 178.61/178.33 inference(rename_variables,[],[4724])).
% 178.61/178.33 cnf(12313,plain,
% 178.61/178.33 (~P106(f326(f326(f328(x123131),x123132),f188(f922(x123131,a910))))),
% 178.61/178.33 inference(rename_variables,[],[4724])).
% 178.61/178.33 cnf(12316,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x123161),x123161))),
% 178.61/178.33 inference(rename_variables,[],[4711])).
% 178.61/178.33 cnf(12318,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x123181),f326(f326(f101(a914),x123181),x123182)))),
% 178.61/178.33 inference(scs_inference,[],[4739,3740,4689,4690,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,11906,12193,12218,12230,12259,3708,3424,4670,10682,10782,11246,3116,3117,3120,3123,3124,3127,3128,3135,3139,3140,3141,3150,3151,3155,3161,3176,3181,3182,3183,3190,3191,3200,3210,3245,3250,3254,3255,3257,3265,3286,3298,4658,4069,11937,3350,11646,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,3441,3450,3961,4268,3340,3702,4055,11692,3401,3336,3363,3359,3347,3348,3973,3560,11091,3434,4138,4679,10509,10679,3494,12017,4722,11272,11371,11601,11604,3607,3398,10582,10912,3399,3661,3317,3420,11682,4282,4140,11292,11423,11482,4741,11195,11436,11545,11571,11609,11615,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,3866,4555,4556,4677,3803,4018,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,12069,12189,3954,11923,3487,3583,11751,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,12084,12089,12304,4728,11794,11825,11860,11867,11903,3941,3709,4088,3530,3532,3506,4712,4674,3693,4729,4275,11568,3825,3543,12038,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,11988,12102,4244,4203,4149,11088,4198,3867,11871,4232,3884,10645,10742,11295,11376,11455,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,12035,12162,12217,12233,12236,12239,12242,3504,10637,10693,10927,11018,11140,11770,12066,12072,12081,12168,12179,12198,12203,12245,12268,3579,4711,10526,10558,11060,11104,11113,11951,11972,12136,12139,12142,12145,12229,12248,12251,12264,12316,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,12047,12310,3564,10909,10939,10948,10951,10954,3603,3596,4022,3959,10561,11926,11954,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,12099,12124,12127,12130,12133,3524,10942,11098,11168,11955,12098,3983,4323,4718,3994,4030,4703,4706,3480,3484,4705,4704,3815,4418,4734,10808,10811,4740,11281,11284,11470,11581,11598,4106,11635,11975,3949,11211,11217,11235,3799,11351,3951,10945,11314,11479,11513,3657,3765,10861,10864,10957,11124,4737,11920,4738,10701,4378,4286,3982,3927,4735,10531,10534,10903,10906,11791,4736,11900,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505,9532,9594,9599,9602,9639,9640,9641,9669,9670,9687,9708,9714,9726,9751,9772,9781,9782,9783,9784,9799,9801,9806,9836,9837,9843,9844,9888,9889,9900,9901,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10122,10123,10125,10134,10135,10155,10160,10251,10346,10347,10348,10349,10413,10431,2,8,9,4765,4766,4784,4826,4828,4829,4852,4858,4859,4869,4914,4916,4964,5094,5095,5112,5136,5193,5194,5200,5201,5203,5205,5214,5217,5218,5226,5239,5240,5246,5267,5268,5286,5291,5292,5293,5294,5299,5307,5310,5317,5372,5377,5378,5383,5390,5421,5431,5436,5452,5469,5470,5477,5478,5479,5490,5508,5510,5511,5518,5525,5526,5538,5539,5540,5541,5544,5545,5549,5550,5551,5552,5582,5583,5584,5592,5593,5594,5595,5638,5643,5645,5681,5683,5684,5686,5687,5689,5690,5692,5701,5706,5707,5708,5710,5712,5713,5714,5715,5716,5717,5726,5727,5737,5740,5751,5767,5768,5771,5781,5783,5784,5785,5812,5822,5837,5838,5847,5848,5850,5852,5857,5892,5897,5899,5958,5993,5994,6008,6014,6017,6018,6019,6020,6039,6043,6044,6053,6075,6104,6123,6127,6128,6130,6153,6157,6160,6161,6162,6177,6187,6188,6220,6221,6225,6247,6250,6253,6275,6276,6304,6307,6316,6326,6335,6339,6347,6348,6349,6350,6381,6382,6399,6452,6489,6491,6513,6514,6521,6525,6526,6530,6544,6560,6581,6582,6587,6598,6613,6633,6639,6641,6656,6657,6660,6661,6663,6665,6666,6667,6669,6671,6675,6681,6682,6684,6685,6691,6693,6735,6740,6755,6758,6759,6760,6794,6799,6801,6806,6807,6815,6819,6833,6856,6857,6859,6860,6871,6877,6896,6899,6918,6950,6951,6952,6958,6972,6991,6993,6995,6997,7002,7008,7010,7024,7029,7030,7065,7066,7067,7081,7082,7084,7085,7104,7106,7121,7149,7171,7182,7184,7186,7188,7189,7222,7223,7227,7228,7235,7236])).
% 178.61/178.33 cnf(12319,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x123191),x123191))),
% 178.61/178.33 inference(rename_variables,[],[4711])).
% 178.61/178.33 cnf(12322,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x123221),x123221))),
% 178.61/178.33 inference(rename_variables,[],[4711])).
% 178.61/178.33 cnf(12325,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x123251),x123251))),
% 178.61/178.33 inference(rename_variables,[],[4711])).
% 178.61/178.33 cnf(12328,plain,
% 178.61/178.33 (P106(f326(f326(f235(a914),x123281),f326(a112,x123281)))),
% 178.61/178.33 inference(rename_variables,[],[3571])).
% 178.61/178.33 cnf(12335,plain,
% 178.61/178.33 (P106(f326(f326(f328(f922(x123351,a910)),x123352),f326(f307(x123351),x123352)))),
% 178.61/178.33 inference(rename_variables,[],[3867])).
% 178.61/178.33 cnf(12340,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x123401,a910)),x123402),f326(f326(f308(x123401),x123403),x123402)))),
% 178.61/178.33 inference(rename_variables,[],[3949])).
% 178.61/178.33 cnf(12347,plain,
% 178.61/178.33 (~P106(f326(f326(f328(x123471),x123472),f188(f922(x123471,a910))))),
% 178.61/178.33 inference(rename_variables,[],[4724])).
% 178.61/178.33 cnf(12356,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x123561,a910)),x123562),f241(f922(x123561,a910))))),
% 178.61/178.33 inference(rename_variables,[],[3884])).
% 178.61/178.33 cnf(12357,plain,
% 178.61/178.33 (~E(f326(a112,x123571),x123571)),
% 178.61/178.33 inference(rename_variables,[],[4660])).
% 178.61/178.33 cnf(12360,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x123601,a910)),f188(f922(x123601,a910))),x123602))),
% 178.61/178.33 inference(rename_variables,[],[3951])).
% 178.61/178.33 cnf(12363,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x123631,a910)),f326(f172(x123631),f326(f136(x123631,x123632),x123633))),f326(f172(x123631),x123633)))),
% 178.61/178.33 inference(rename_variables,[],[4149])).
% 178.61/178.33 cnf(12369,plain,
% 178.61/178.33 (P106(f326(f326(f235(a914),x123691),f326(a112,x123691)))),
% 178.61/178.33 inference(rename_variables,[],[3571])).
% 178.61/178.33 cnf(12377,plain,
% 178.61/178.33 (~P106(f326(f326(f328(f921(x123771,x123771)),x123772),f153(x123771,f113(f922(x123771,a914)))))),
% 178.61/178.33 inference(scs_inference,[],[4739,3740,4689,4690,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,11906,12193,12218,12230,12259,12265,3708,3424,4670,10682,10782,11246,3116,3117,3119,3120,3123,3124,3127,3128,3135,3139,3140,3141,3150,3151,3155,3161,3176,3181,3182,3183,3190,3191,3200,3210,3245,3250,3254,3255,3257,3265,3286,3298,4658,4069,11937,3350,11646,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,11932,3441,3450,3961,4268,3340,3702,4055,11692,3401,3336,3363,3359,3347,3348,3973,3560,11091,3434,4138,4679,10509,10679,3494,12017,4722,11272,11371,11601,11604,3607,3398,10582,10912,3399,3661,3317,3420,11682,4282,4140,11292,11423,11482,4741,11195,11436,11545,11571,11609,11615,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,3866,4555,4556,4677,3803,4018,3686,3944,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,12069,12189,12252,12328,3954,11923,3487,3583,11751,3764,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,12084,12089,12304,4728,11794,11825,11860,11867,11903,3941,3709,4088,3530,3532,3506,4712,4674,3693,4729,4275,11568,3825,3543,12038,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,11988,12102,4244,4203,4149,11088,4198,3867,11871,12192,4232,3884,10645,10742,11295,11376,11455,11519,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,12035,12162,12217,12233,12236,12239,12242,3504,10637,10693,10927,11018,11140,11770,12066,12072,12081,12168,12179,12198,12203,12245,12268,3579,4711,10526,10558,11060,11104,11113,11951,11972,12136,12139,12142,12145,12229,12248,12251,12264,12316,12319,12322,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,12047,12310,12313,3564,10909,10939,10948,10951,10954,3603,3596,4022,3959,10561,11926,11954,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,12099,12124,12127,12130,12133,3524,10942,11098,11168,11955,12098,3983,4323,4718,3994,4030,4703,4706,3480,3484,4705,4704,3815,4418,4734,10808,10811,4740,11281,11284,11470,11581,11598,4106,11635,11975,3949,11211,11217,11235,12214,3799,11351,3951,10945,11314,11479,11513,11524,3657,3765,10861,10864,10957,11124,4737,11920,4738,10701,4378,4286,3982,3927,4735,10531,10534,10903,10906,11791,4736,11900,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505,9532,9594,9599,9602,9639,9640,9641,9669,9670,9687,9708,9714,9726,9751,9772,9781,9782,9783,9784,9799,9801,9806,9836,9837,9843,9844,9888,9889,9900,9901,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10122,10123,10125,10134,10135,10155,10160,10251,10346,10347,10348,10349,10413,10431,2,8,9,4765,4766,4784,4826,4828,4829,4852,4858,4859,4869,4914,4916,4964,5094,5095,5112,5136,5193,5194,5200,5201,5203,5205,5214,5217,5218,5226,5239,5240,5246,5267,5268,5286,5291,5292,5293,5294,5299,5307,5310,5317,5372,5377,5378,5383,5390,5421,5431,5436,5452,5469,5470,5477,5478,5479,5490,5508,5510,5511,5518,5525,5526,5538,5539,5540,5541,5544,5545,5549,5550,5551,5552,5582,5583,5584,5592,5593,5594,5595,5638,5643,5645,5681,5683,5684,5686,5687,5689,5690,5692,5701,5706,5707,5708,5710,5712,5713,5714,5715,5716,5717,5726,5727,5737,5740,5751,5767,5768,5771,5781,5783,5784,5785,5812,5822,5837,5838,5847,5848,5850,5852,5857,5892,5897,5899,5958,5993,5994,6008,6014,6017,6018,6019,6020,6039,6043,6044,6053,6075,6104,6123,6127,6128,6130,6153,6157,6160,6161,6162,6177,6187,6188,6220,6221,6225,6247,6250,6253,6275,6276,6304,6307,6316,6326,6335,6339,6347,6348,6349,6350,6381,6382,6399,6452,6489,6491,6513,6514,6521,6525,6526,6530,6544,6560,6581,6582,6587,6598,6613,6633,6639,6641,6656,6657,6660,6661,6663,6665,6666,6667,6669,6671,6675,6681,6682,6684,6685,6691,6693,6735,6740,6755,6758,6759,6760,6794,6799,6801,6806,6807,6815,6819,6833,6856,6857,6859,6860,6871,6877,6896,6899,6918,6950,6951,6952,6958,6972,6991,6993,6995,6997,7002,7008,7010,7024,7029,7030,7065,7066,7067,7081,7082,7084,7085,7104,7106,7121,7149,7171,7182,7184,7186,7188,7189,7222,7223,7227,7228,7235,7236,7238,7240,7262,7271,7272,7283,7293,7333,7343,7347,7354,7365,7370,7372,7379,7387,7388,7401,7418,7439,7441,7460])).
% 178.61/178.33 cnf(12378,plain,
% 178.61/178.33 (E(f326(f283(x123781,x123781),f262(x123781,x123782)),x123782)),
% 178.61/178.33 inference(rename_variables,[],[3464])).
% 178.61/178.33 cnf(12389,plain,
% 178.61/178.33 (~P106(f326(f326(f234(a914),f326(a112,x123891)),x123891))),
% 178.61/178.33 inference(rename_variables,[],[4721])).
% 178.61/178.33 cnf(12390,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x123901),f2(a914)))),
% 178.61/178.33 inference(rename_variables,[],[4715])).
% 178.61/178.33 cnf(12395,plain,
% 178.61/178.33 (P106(f326(f61(x123951),f188(f922(x123951,a910))))),
% 178.61/178.33 inference(rename_variables,[],[3579])).
% 178.61/178.33 cnf(12396,plain,
% 178.61/178.33 (~P106(f326(f326(f328(x123961),x123962),f188(f922(x123961,a910))))),
% 178.61/178.33 inference(rename_variables,[],[4724])).
% 178.61/178.33 cnf(12403,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x124031,a910)),f326(f172(x124031),f176(x124031,x124032,x124033))),f326(f172(x124031),x124032)))),
% 178.61/178.33 inference(rename_variables,[],[4198])).
% 178.61/178.33 cnf(12406,plain,
% 178.61/178.33 (P24(x124061,x124061,f7(x124061),x124062)),
% 178.61/178.33 inference(rename_variables,[],[3740])).
% 178.61/178.33 cnf(12411,plain,
% 178.61/178.33 (P106(f326(f326(f328(f922(x124111,a910)),x124112),f326(f307(x124111),x124112)))),
% 178.61/178.33 inference(rename_variables,[],[3867])).
% 178.61/178.33 cnf(12418,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x124181),x124181))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(12421,plain,
% 178.61/178.33 (~P106(f326(f326(f328(x124211),x124212),f188(f922(x124211,a910))))),
% 178.61/178.33 inference(rename_variables,[],[4724])).
% 178.61/178.33 cnf(12424,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x124241,a910)),x124242),f326(f326(f308(x124241),x124243),x124242)))),
% 178.61/178.33 inference(rename_variables,[],[3949])).
% 178.61/178.33 cnf(12425,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x124251,a910)),x124252),f241(f922(x124251,a910))))),
% 178.61/178.33 inference(rename_variables,[],[3884])).
% 178.61/178.33 cnf(12432,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x124321),x124321))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(12435,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x124351),x124351))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(12438,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x124381),x124381))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(12441,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x124411),x124411))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(12444,plain,
% 178.61/178.33 (P106(f326(f326(f235(a914),x124441),f326(a112,x124441)))),
% 178.61/178.33 inference(rename_variables,[],[3571])).
% 178.61/178.33 cnf(12447,plain,
% 178.61/178.33 (P106(f326(f326(f235(a914),x124471),f326(a112,x124471)))),
% 178.61/178.33 inference(rename_variables,[],[3571])).
% 178.61/178.33 cnf(12450,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x124501,a910)),x124502),x124502))),
% 178.61/178.33 inference(rename_variables,[],[3799])).
% 178.61/178.33 cnf(12452,plain,
% 178.61/178.33 (~P106(f326(f326(f234(a1),f326(f326(f3(a1),a82),a97)),f2(a1)))),
% 178.61/178.33 inference(scs_inference,[],[4739,3740,11366,4689,4690,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,11906,12193,12218,12230,12259,12265,3708,3424,4670,10682,10782,11246,3116,3117,3119,3120,3123,3124,3126,3127,3128,3135,3139,3140,3141,3150,3151,3155,3161,3176,3181,3182,3183,3190,3191,3200,3210,3245,3250,3254,3255,3257,3265,3266,3286,3298,4658,4069,11937,3350,11646,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,11932,3441,3450,3961,4268,3340,3702,4055,11692,3401,3336,3363,3359,3347,3348,3973,3560,11091,3434,4138,4679,10509,10679,3494,12017,4722,11272,11371,11601,11604,3607,3398,10582,10912,3399,3661,3317,3420,11682,4282,4140,11292,11423,11482,4741,11195,11436,11545,11571,11609,11615,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,3866,4555,4556,4677,3803,4018,3686,3944,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,12069,12189,12252,12328,12369,12444,3954,11923,3487,3583,11751,3764,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,12084,12089,12304,12307,4728,11794,11825,11860,11867,11903,3941,3709,4088,3530,3532,3506,4712,4674,3693,4729,4275,11568,3825,3543,12038,12041,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,11988,12102,4244,4203,4149,11088,4198,11298,3867,11871,12192,12335,4232,3884,10645,10742,11295,11376,11455,11519,12356,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,12035,12162,12217,12233,12236,12239,12242,12418,12432,12435,12438,3504,10637,10693,10927,11018,11140,11770,12066,12072,12081,12168,12179,12198,12203,12245,12268,3505,3579,12395,4711,10526,10558,11060,11104,11113,11951,11972,12136,12139,12142,12145,12229,12248,12251,12264,12316,12319,12322,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,12047,12310,12313,12347,12396,3564,10909,10939,10948,10951,10954,3603,3596,4022,3959,10561,11926,11954,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,12099,12124,12127,12130,12133,3524,10942,11098,11168,11955,12098,3983,4323,4718,3994,4030,4703,4706,3480,3484,4705,4704,3815,4418,4734,10808,10811,4740,11281,11284,11470,11581,11598,4106,11635,11975,3949,11211,11217,11235,12214,12340,3799,11351,11473,3951,10945,11314,11479,11513,11524,3657,3765,10861,10864,10957,11124,4737,11920,4738,10701,4378,4286,3982,3927,4735,10531,10534,10903,10906,11791,4736,11900,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505,9532,9594,9599,9602,9639,9640,9641,9669,9670,9687,9708,9714,9726,9751,9772,9781,9782,9783,9784,9799,9801,9806,9836,9837,9843,9844,9888,9889,9900,9901,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10122,10123,10125,10134,10135,10155,10160,10251,10346,10347,10348,10349,10413,10431,2,8,9,4765,4766,4784,4826,4828,4829,4852,4858,4859,4869,4914,4916,4964,5094,5095,5112,5136,5193,5194,5200,5201,5203,5205,5214,5217,5218,5226,5239,5240,5246,5267,5268,5286,5291,5292,5293,5294,5299,5307,5310,5317,5372,5377,5378,5383,5390,5421,5431,5436,5452,5469,5470,5477,5478,5479,5490,5508,5510,5511,5518,5525,5526,5538,5539,5540,5541,5544,5545,5549,5550,5551,5552,5582,5583,5584,5592,5593,5594,5595,5638,5643,5645,5681,5683,5684,5686,5687,5689,5690,5692,5701,5706,5707,5708,5710,5712,5713,5714,5715,5716,5717,5726,5727,5737,5740,5751,5767,5768,5771,5781,5783,5784,5785,5812,5822,5837,5838,5847,5848,5850,5852,5857,5892,5897,5899,5958,5993,5994,6008,6014,6017,6018,6019,6020,6039,6043,6044,6053,6075,6104,6123,6127,6128,6130,6153,6157,6160,6161,6162,6177,6187,6188,6220,6221,6225,6247,6250,6253,6275,6276,6304,6307,6316,6326,6335,6339,6347,6348,6349,6350,6381,6382,6399,6452,6489,6491,6513,6514,6521,6525,6526,6530,6544,6560,6581,6582,6587,6598,6613,6633,6639,6641,6656,6657,6660,6661,6663,6665,6666,6667,6669,6671,6675,6681,6682,6684,6685,6691,6693,6735,6740,6755,6758,6759,6760,6794,6799,6801,6806,6807,6815,6819,6833,6856,6857,6859,6860,6871,6877,6896,6899,6918,6950,6951,6952,6958,6972,6991,6993,6995,6997,7002,7008,7010,7024,7029,7030,7065,7066,7067,7081,7082,7084,7085,7104,7106,7121,7149,7171,7182,7184,7186,7188,7189,7222,7223,7227,7228,7235,7236,7238,7240,7262,7271,7272,7283,7293,7333,7343,7347,7354,7365,7370,7372,7379,7387,7388,7401,7418,7439,7441,7460,7512,7513,7514,7516,7518,7522,7523,7528,7591,7620,7635,7651,7682,7686,7708,7730,7748,7751,7752,7762,7782,7784,7786,7788,7789,7790,7815,7841])).
% 178.61/178.33 cnf(12457,plain,
% 178.61/178.33 (P106(f326(f326(f328(f922(x124571,a910)),x124572),f326(f307(x124571),x124572)))),
% 178.61/178.33 inference(rename_variables,[],[3867])).
% 178.61/178.33 cnf(12466,plain,
% 178.61/178.33 (~E(f326(a112,x124661),x124661)),
% 178.61/178.33 inference(rename_variables,[],[4660])).
% 178.61/178.33 cnf(12467,plain,
% 178.61/178.33 (E(f326(f309(x124671,x124671,f7(x124671)),x124672),x124672)),
% 178.61/178.33 inference(rename_variables,[],[3560])).
% 178.61/178.33 cnf(12470,plain,
% 178.61/178.33 (P32(x124701,x124702,f113(x124701),f113(x124701))),
% 178.61/178.33 inference(rename_variables,[],[3749])).
% 178.61/178.33 cnf(12473,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x124731,a910)),f326(f172(x124731),f176(x124731,x124732,x124733))),f326(f172(x124731),x124732)))),
% 178.61/178.33 inference(rename_variables,[],[4198])).
% 178.61/178.33 cnf(12474,plain,
% 178.61/178.33 (P106(f326(f61(x124741),f326(f172(x124741),x124742)))),
% 178.61/178.33 inference(rename_variables,[],[3543])).
% 178.61/178.33 cnf(12485,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x124851),x124851))),
% 178.61/178.33 inference(rename_variables,[],[4711])).
% 178.61/178.33 cnf(12488,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x124881),x124881))),
% 178.61/178.33 inference(rename_variables,[],[4711])).
% 178.61/178.33 cnf(12493,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),f2(a914)),x124931))),
% 178.61/178.33 inference(rename_variables,[],[3524])).
% 178.61/178.33 cnf(12500,plain,
% 178.61/178.33 (P12(a914,f326(f168(a914),f326(f326(f154(f915(x125001),a914),f189(f915(x125001))),f179(x125001,x125002))))),
% 178.61/178.33 inference(rename_variables,[],[4065])).
% 178.61/178.33 cnf(12503,plain,
% 178.61/178.33 (P24(x125031,x125031,f7(x125031),x125032)),
% 178.61/178.33 inference(rename_variables,[],[3740])).
% 178.61/178.33 cnf(12506,plain,
% 178.61/178.33 (P24(x125061,x125061,f7(x125061),x125062)),
% 178.61/178.33 inference(rename_variables,[],[3740])).
% 178.61/178.33 cnf(12509,plain,
% 178.61/178.33 (P106(f326(f326(f328(f915(x125091)),f113(x125091)),f161(x125091,x125092)))),
% 178.61/178.33 inference(rename_variables,[],[3700])).
% 178.61/178.33 cnf(12512,plain,
% 178.61/178.33 (~P106(f326(f326(f188(f922(x125121,f922(x125122,a910))),x125123),x125124))),
% 178.61/178.33 inference(rename_variables,[],[4738])).
% 178.61/178.33 cnf(12517,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x125171),x125171))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(12518,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),f2(a914)),x125181))),
% 178.61/178.33 inference(rename_variables,[],[3524])).
% 178.61/178.33 cnf(12521,plain,
% 178.61/178.33 (~P106(f326(f326(f188(f922(x125211,f922(x125212,a910))),x125213),x125214))),
% 178.61/178.33 inference(rename_variables,[],[4738])).
% 178.61/178.33 cnf(12524,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(f921(f915(x125241),f915(x125241)),a910)),f158(x125241,x125242)),f306(f915(x125241),f157(x125241,x125242))))),
% 178.61/178.33 inference(rename_variables,[],[4203])).
% 178.61/178.33 cnf(12530,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x125301,a910)),f326(f309(x125302,x125301,x125303),f326(f310(x125302,x125301,x125303),x125304))),x125304))),
% 178.61/178.33 inference(rename_variables,[],[4378])).
% 178.61/178.33 cnf(12533,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x125331,a910)),f326(f172(x125331),f176(x125331,x125332,x125333))),f326(f172(x125331),x125332)))),
% 178.61/178.33 inference(rename_variables,[],[4198])).
% 178.61/178.33 cnf(12534,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x125341,a910)),f326(f172(x125341),f326(f136(x125341,x125342),x125343))),f326(f172(x125341),x125343)))),
% 178.61/178.33 inference(rename_variables,[],[4149])).
% 178.61/178.33 cnf(12537,plain,
% 178.61/178.33 (~P106(f326(f326(f235(f922(x125371,a910)),x125372),f188(f922(x125371,a910))))),
% 178.61/178.33 inference(rename_variables,[],[4732])).
% 178.61/178.33 cnf(12545,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x125451,a910)),f326(f309(x125452,x125451,x125453),f326(f310(x125452,x125451,x125453),x125454))),x125454))),
% 178.61/178.33 inference(rename_variables,[],[4378])).
% 178.61/178.33 cnf(12550,plain,
% 178.61/178.33 (P106(f326(f326(f328(f915(x125501)),f113(x125501)),f161(x125501,x125502)))),
% 178.61/178.33 inference(rename_variables,[],[3700])).
% 178.61/178.33 cnf(12553,plain,
% 178.61/178.33 (~P106(f326(f326(f328(f921(f915(x125531),f915(x125531))),f326(f326(f251(f915(x125531),f915(x125531)),x125532),f113(x125531))),f145(x125531,x125533)))),
% 178.61/178.33 inference(rename_variables,[],[4741])).
% 178.61/178.33 cnf(12556,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x125561),f2(a914)))),
% 178.61/178.33 inference(rename_variables,[],[4715])).
% 178.61/178.33 cnf(12558,plain,
% 178.61/178.33 (~P106(f326(f61(x125581),f241(f922(x125581,a910))))),
% 178.61/178.33 inference(scs_inference,[],[4739,3740,11366,12406,12503,3749,3758,3474,4689,4690,3373,3376,4688,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,11906,12193,12218,12230,12259,12265,12357,3708,3424,4670,10682,10782,11246,3116,3117,3119,3120,3123,3124,3126,3127,3128,3135,3139,3140,3141,3150,3151,3155,3161,3170,3176,3181,3182,3183,3190,3191,3200,3210,3245,3250,3254,3255,3257,3265,3266,3286,3298,4658,4069,11937,3350,11646,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,11932,3441,3450,3961,4268,3340,3702,4055,11692,3401,3336,3363,3359,3347,3348,3973,3383,3560,11091,11220,3434,4138,4679,10509,10679,3494,12017,4722,11272,11371,11601,11604,3607,3398,10582,10912,3399,3661,3317,3420,11682,4282,4140,11292,11423,11482,4741,11195,11436,11545,11571,11609,11615,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,12509,12550,3866,4555,4556,4677,3803,4018,4065,3686,3944,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,12069,12189,12252,12328,12369,12444,3954,11923,3487,3583,11751,3764,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,12084,12089,12304,12307,12390,4728,11794,11825,11860,11867,11903,3941,3709,4088,3530,3532,3506,4712,4674,3693,4729,4275,11568,3825,3543,12038,12041,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,11988,12102,4244,4203,12182,12524,4149,11088,12363,4198,11298,12403,12473,3867,11871,12192,12335,12411,12457,4232,3884,10645,10742,11295,11376,11455,11519,12356,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,12035,12162,12217,12233,12236,12239,12242,12418,12432,12435,12438,12441,3504,10637,10693,10927,11018,11140,11770,12066,12072,12081,12168,12179,12198,12203,12245,12268,3505,3579,12395,4711,10526,10558,11060,11104,11113,11951,11972,12136,12139,12142,12145,12229,12248,12251,12264,12316,12319,12322,12325,12485,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,12000,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,12047,12310,12313,12347,12396,3564,10909,10939,10948,10951,10954,3603,3596,4022,3959,10561,11926,11954,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,12099,12124,12127,12130,12133,12389,3524,10942,11098,11168,11955,12098,12290,12493,3983,4323,4718,3994,4030,4703,4706,3480,3484,4705,4704,3815,4418,4734,10808,10811,4740,11281,11284,11470,11581,11598,4106,11635,11975,3949,11211,11217,11235,12214,12340,3799,11351,11473,12450,3951,10945,11314,11479,11513,11524,3657,3765,10861,10864,10957,11124,4737,11920,4738,10701,10814,12512,4378,11079,12530,4286,3982,3927,4735,10531,10534,10903,10906,11791,4736,11900,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505,9532,9594,9599,9602,9639,9640,9641,9669,9670,9687,9708,9714,9726,9751,9772,9781,9782,9783,9784,9799,9801,9806,9836,9837,9843,9844,9888,9889,9900,9901,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10122,10123,10125,10134,10135,10155,10160,10251,10346,10347,10348,10349,10413,10431,2,8,9,4765,4766,4784,4826,4828,4829,4852,4858,4859,4869,4914,4916,4964,5094,5095,5112,5136,5193,5194,5200,5201,5203,5205,5214,5217,5218,5226,5239,5240,5246,5267,5268,5286,5291,5292,5293,5294,5299,5307,5310,5317,5372,5377,5378,5383,5390,5421,5431,5436,5452,5469,5470,5477,5478,5479,5490,5508,5510,5511,5518,5525,5526,5538,5539,5540,5541,5544,5545,5549,5550,5551,5552,5582,5583,5584,5592,5593,5594,5595,5638,5643,5645,5681,5683,5684,5686,5687,5689,5690,5692,5701,5706,5707,5708,5710,5712,5713,5714,5715,5716,5717,5726,5727,5737,5740,5751,5767,5768,5771,5781,5783,5784,5785,5812,5822,5837,5838,5847,5848,5850,5852,5857,5892,5897,5899,5958,5993,5994,6008,6014,6017,6018,6019,6020,6039,6043,6044,6053,6075,6104,6123,6127,6128,6130,6153,6157,6160,6161,6162,6177,6187,6188,6220,6221,6225,6247,6250,6253,6275,6276,6304,6307,6316,6326,6335,6339,6347,6348,6349,6350,6381,6382,6399,6452,6489,6491,6513,6514,6521,6525,6526,6530,6544,6560,6581,6582,6587,6598,6613,6633,6639,6641,6656,6657,6660,6661,6663,6665,6666,6667,6669,6671,6675,6681,6682,6684,6685,6691,6693,6735,6740,6755,6758,6759,6760,6794,6799,6801,6806,6807,6815,6819,6833,6856,6857,6859,6860,6871,6877,6896,6899,6918,6950,6951,6952,6958,6972,6991,6993,6995,6997,7002,7008,7010,7024,7029,7030,7065,7066,7067,7081,7082,7084,7085,7104,7106,7121,7149,7171,7182,7184,7186,7188,7189,7222,7223,7227,7228,7235,7236,7238,7240,7262,7271,7272,7283,7293,7333,7343,7347,7354,7365,7370,7372,7379,7387,7388,7401,7418,7439,7441,7460,7512,7513,7514,7516,7518,7522,7523,7528,7591,7620,7635,7651,7682,7686,7708,7730,7748,7751,7752,7762,7782,7784,7786,7788,7789,7790,7815,7841,7842,7873,7875,7876,7877,7882,7903,7920,7925,7931,7933,7941,7953,7954,7956,7977,7984,8005,8071,8072,8073,8120,8126,8127,8150,8151,8168,8169,8170,8227,8228,8257,8286,8295,8306,8319,8348,8352,8358])).
% 178.61/178.33 cnf(12559,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x125591,a910)),x125592),x125592))),
% 178.61/178.33 inference(rename_variables,[],[3799])).
% 178.61/178.33 cnf(12562,plain,
% 178.61/178.33 (~P106(f326(f326(f328(x125621),x125622),f188(f922(x125621,a910))))),
% 178.61/178.33 inference(rename_variables,[],[4724])).
% 178.61/178.33 cnf(12565,plain,
% 178.61/178.33 (~P106(f326(f326(f188(f922(x125651,f922(x125652,a910))),x125653),x125654))),
% 178.61/178.33 inference(rename_variables,[],[4738])).
% 178.61/178.33 cnf(12568,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x125681,a910)),f326(f309(x125682,x125681,x125683),f326(f310(x125682,x125681,x125683),x125684))),x125684))),
% 178.61/178.33 inference(rename_variables,[],[4378])).
% 178.61/178.33 cnf(12569,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x125691,a910)),x125692),x125692))),
% 178.61/178.33 inference(rename_variables,[],[3799])).
% 178.61/178.33 cnf(12574,plain,
% 178.61/178.33 (E(f326(f283(x125741,x125741),f262(x125741,x125742)),x125742)),
% 178.61/178.33 inference(rename_variables,[],[3464])).
% 178.61/178.33 cnf(12577,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x125771,a910)),f326(f172(x125771),f176(x125771,x125772,x125773))),f326(f172(x125771),x125772)))),
% 178.61/178.33 inference(rename_variables,[],[4198])).
% 178.61/178.33 cnf(12578,plain,
% 178.61/178.33 (P106(f326(f61(x125781),f326(f172(x125781),x125782)))),
% 178.61/178.33 inference(rename_variables,[],[3543])).
% 178.61/178.33 cnf(12581,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x125811),x125811))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(12584,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x125841),x125841))),
% 178.61/178.33 inference(rename_variables,[],[4711])).
% 178.61/178.33 cnf(12587,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x125871),x125871))),
% 178.61/178.33 inference(rename_variables,[],[4711])).
% 178.61/178.33 cnf(12598,plain,
% 178.61/178.33 (P24(x125981,x125981,f7(x125981),x125982)),
% 178.61/178.33 inference(rename_variables,[],[3740])).
% 178.61/178.33 cnf(12606,plain,
% 178.61/178.33 (~P106(f326(f326(f328(x126061),x126062),f188(f922(x126061,a910))))),
% 178.61/178.33 inference(rename_variables,[],[4724])).
% 178.61/178.33 cnf(12609,plain,
% 178.61/178.33 (P106(f326(f326(f328(f921(x126091,x126091)),f326(f326(f251(x126091,x126091),x126092),x126092)),f306(x126091,x126093)))),
% 178.61/178.33 inference(rename_variables,[],[4140])).
% 178.61/178.33 cnf(12612,plain,
% 178.61/178.33 (~P106(f326(f326(f328(x126121),x126122),f188(f922(x126121,a910))))),
% 178.61/178.33 inference(rename_variables,[],[4724])).
% 178.61/178.33 cnf(12615,plain,
% 178.61/178.33 (P106(f326(f326(f328(f921(x126151,x126151)),f326(f326(f251(x126151,x126151),x126152),x126152)),f306(x126151,x126153)))),
% 178.61/178.33 inference(rename_variables,[],[4140])).
% 178.61/178.33 cnf(12625,plain,
% 178.61/178.33 (~E(f326(f326(f151(x126251),x126252),x126253),x126253)),
% 178.61/178.33 inference(rename_variables,[],[4679])).
% 178.61/178.33 cnf(12627,plain,
% 178.61/178.33 (~P25(a914,a914,x126271,f241(f922(a914,a910)),f302(a914,x126272,x126273))),
% 178.61/178.33 inference(scs_inference,[],[4739,3740,11366,12406,12503,12506,3749,3758,3474,4689,4690,3373,3376,4688,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,11906,12193,12218,12230,12259,12265,12357,3708,12165,3424,4670,10682,10782,11246,3116,3117,3119,3120,3123,3124,3126,3127,3128,3135,3139,3140,3141,3145,3150,3151,3155,3161,3170,3176,3181,3182,3183,3190,3191,3200,3210,3245,3250,3254,3255,3257,3265,3266,3286,3298,4658,4069,11937,3350,11646,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,11932,12378,3441,3450,3961,4268,3340,3702,4055,11692,3401,3336,3363,3820,3359,3347,3348,3973,3383,3560,11091,11220,3434,4138,4679,10509,10679,11551,3494,12017,4722,11272,11371,11601,11604,3607,4700,3398,10582,10912,3399,3661,3317,3420,11682,4282,4140,11292,11423,11482,12609,4741,11195,11436,11545,11571,11609,11615,12553,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,12509,12550,3866,3649,4555,4556,4677,11675,3803,4018,4065,3686,3944,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,12069,12189,12252,12328,12369,12444,12447,3954,11923,3487,3583,11751,3764,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,12084,12089,12304,12307,12390,12556,4728,11794,11825,11860,11867,11903,3941,3709,4088,3530,3532,3506,4712,4674,3693,4729,4275,11568,3825,3543,12038,12041,12474,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,11988,12102,4244,4203,12182,12524,4149,11088,12363,4198,11298,12403,12473,12533,12577,3867,11871,12192,12335,12411,12457,4232,3884,10645,10742,11295,11376,11455,11519,12356,12425,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,12035,12162,12217,12233,12236,12239,12242,12418,12432,12435,12438,12441,12517,3504,10637,10693,10927,11018,11140,11770,12066,12072,12081,12168,12179,12198,12203,12245,12268,3505,3579,12395,4711,10526,10558,11060,11104,11113,11951,11972,12136,12139,12142,12145,12229,12248,12251,12264,12316,12319,12322,12325,12485,12488,12584,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,12000,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,12047,12310,12313,12347,12396,12421,12562,12606,3564,10909,10939,10948,10951,10954,3603,3596,4022,3959,10561,11926,11954,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,12099,12124,12127,12130,12133,12389,3524,10942,11098,11168,11955,12098,12290,12493,3983,4323,4718,3994,4030,4703,4706,3480,3484,4705,4704,3815,4418,4734,10808,10811,4740,11281,11284,11470,11581,11598,11638,4106,11635,11975,3949,11211,11217,11235,12214,12340,3799,11351,11473,12450,12559,3951,10945,11314,11479,11513,11524,3657,3765,10861,10864,10957,11124,4737,11920,4738,10701,10814,12512,12521,4378,11079,12530,12545,4286,3982,3927,4735,10531,10534,10903,10906,11791,4736,11900,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505,9532,9594,9599,9602,9639,9640,9641,9669,9670,9687,9708,9714,9726,9751,9772,9781,9782,9783,9784,9799,9801,9806,9836,9837,9843,9844,9888,9889,9900,9901,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10122,10123,10125,10134,10135,10155,10160,10251,10346,10347,10348,10349,10413,10431,2,8,9,4765,4766,4784,4826,4828,4829,4852,4858,4859,4869,4914,4916,4964,5094,5095,5112,5136,5193,5194,5200,5201,5203,5205,5214,5217,5218,5226,5239,5240,5246,5267,5268,5286,5291,5292,5293,5294,5299,5307,5310,5317,5372,5377,5378,5383,5390,5421,5431,5436,5452,5469,5470,5477,5478,5479,5490,5508,5510,5511,5518,5525,5526,5538,5539,5540,5541,5544,5545,5549,5550,5551,5552,5582,5583,5584,5592,5593,5594,5595,5638,5643,5645,5681,5683,5684,5686,5687,5689,5690,5692,5701,5706,5707,5708,5710,5712,5713,5714,5715,5716,5717,5726,5727,5737,5740,5751,5767,5768,5771,5781,5783,5784,5785,5812,5822,5837,5838,5847,5848,5850,5852,5857,5892,5897,5899,5958,5993,5994,6008,6014,6017,6018,6019,6020,6039,6043,6044,6053,6075,6104,6123,6127,6128,6130,6153,6157,6160,6161,6162,6177,6187,6188,6220,6221,6225,6247,6250,6253,6275,6276,6304,6307,6316,6326,6335,6339,6347,6348,6349,6350,6381,6382,6399,6452,6489,6491,6513,6514,6521,6525,6526,6530,6544,6560,6581,6582,6587,6598,6613,6633,6639,6641,6656,6657,6660,6661,6663,6665,6666,6667,6669,6671,6675,6681,6682,6684,6685,6691,6693,6735,6740,6755,6758,6759,6760,6794,6799,6801,6806,6807,6815,6819,6833,6856,6857,6859,6860,6871,6877,6896,6899,6918,6950,6951,6952,6958,6972,6991,6993,6995,6997,7002,7008,7010,7024,7029,7030,7065,7066,7067,7081,7082,7084,7085,7104,7106,7121,7149,7171,7182,7184,7186,7188,7189,7222,7223,7227,7228,7235,7236,7238,7240,7262,7271,7272,7283,7293,7333,7343,7347,7354,7365,7370,7372,7379,7387,7388,7401,7418,7439,7441,7460,7512,7513,7514,7516,7518,7522,7523,7528,7591,7620,7635,7651,7682,7686,7708,7730,7748,7751,7752,7762,7782,7784,7786,7788,7789,7790,7815,7841,7842,7873,7875,7876,7877,7882,7903,7920,7925,7931,7933,7941,7953,7954,7956,7977,7984,8005,8071,8072,8073,8120,8126,8127,8150,8151,8168,8169,8170,8227,8228,8257,8286,8295,8306,8319,8348,8352,8358,8370,8388,8393,8415,8460,8489,8503,8523,8526,8552,8577,8634,8635,8638,8639,8707,8741,8742,8743,8744,8771,8803,8832,8840])).
% 178.61/178.33 cnf(12632,plain,
% 178.61/178.33 (P106(f326(f326(f328(x126321),x126322),f241(f922(x126321,a910))))),
% 178.61/178.33 inference(rename_variables,[],[3656])).
% 178.61/178.33 cnf(12633,plain,
% 178.61/178.33 (~E(f326(a112,x126331),x126331)),
% 178.61/178.33 inference(rename_variables,[],[4660])).
% 178.61/178.33 cnf(12636,plain,
% 178.61/178.33 (P106(f326(f326(f328(f915(x126361)),f113(x126361)),f161(x126361,x126362)))),
% 178.61/178.33 inference(rename_variables,[],[3700])).
% 178.61/178.33 cnf(12637,plain,
% 178.61/178.33 (~E(f326(f326(f151(x126371),x126372),x126373),f113(x126371))),
% 178.61/178.33 inference(rename_variables,[],[4686])).
% 178.61/178.33 cnf(12640,plain,
% 178.61/178.33 (P24(x126401,x126401,f7(x126401),x126402)),
% 178.61/178.33 inference(rename_variables,[],[3740])).
% 178.61/178.33 cnf(12643,plain,
% 178.61/178.33 (P106(f326(f326(f328(x126431),f326(x126432,x126433)),f326(f309(x126434,x126431,x126432),f241(f922(x126434,a910)))))),
% 178.61/178.33 inference(rename_variables,[],[4106])).
% 178.61/178.33 cnf(12644,plain,
% 178.61/178.33 (P24(x126441,x126441,f7(x126441),x126442)),
% 178.61/178.33 inference(rename_variables,[],[3740])).
% 178.61/178.33 cnf(12647,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x126471,a910)),f188(f922(x126471,a910))),x126472))),
% 178.61/178.33 inference(rename_variables,[],[3951])).
% 178.61/178.33 cnf(12648,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x126481,a910)),x126482),x126482))),
% 178.61/178.33 inference(rename_variables,[],[3799])).
% 178.61/178.33 cnf(12651,plain,
% 178.61/178.33 (P106(f326(f326(f328(x126511),f326(x126512,x126513)),f326(f309(x126514,x126511,x126512),f241(f922(x126514,a910)))))),
% 178.61/178.33 inference(rename_variables,[],[4106])).
% 178.61/178.33 cnf(12652,plain,
% 178.61/178.33 (P24(x126521,x126521,f7(x126521),x126522)),
% 178.61/178.33 inference(rename_variables,[],[3740])).
% 178.61/178.33 cnf(12655,plain,
% 178.61/178.33 (P106(f326(f326(f328(f921(f915(x126551),f915(x126551))),f326(f326(f251(f915(x126551),f915(x126551)),f113(x126551)),f113(x126551))),f158(x126551,x126552)))),
% 178.61/178.33 inference(rename_variables,[],[4282])).
% 178.61/178.33 cnf(12658,plain,
% 178.61/178.33 (~P106(f326(f326(f172(x126581),f113(x126581)),x126582))),
% 178.61/178.33 inference(rename_variables,[],[4720])).
% 178.61/178.33 cnf(12659,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x126591),f2(a914)))),
% 178.61/178.33 inference(rename_variables,[],[4715])).
% 178.61/178.33 cnf(12665,plain,
% 178.61/178.33 (E(f326(f326(f134(x126651),x126652),f113(x126651)),x126652)),
% 178.61/178.33 inference(rename_variables,[],[3435])).
% 178.61/178.33 cnf(12666,plain,
% 178.61/178.33 (~E(f326(f326(f151(x126661),x126662),x126663),x126663)),
% 178.61/178.33 inference(rename_variables,[],[4679])).
% 178.61/178.33 cnf(12669,plain,
% 178.61/178.33 (E(f326(f326(f134(x126691),x126692),f113(x126691)),x126692)),
% 178.61/178.33 inference(rename_variables,[],[3435])).
% 178.61/178.33 cnf(12670,plain,
% 178.61/178.33 (~E(f326(f326(f151(x126701),x126702),x126703),x126703)),
% 178.61/178.33 inference(rename_variables,[],[4679])).
% 178.61/178.33 cnf(12673,plain,
% 178.61/178.33 (E(f326(f326(f134(x126731),x126732),f113(x126731)),x126732)),
% 178.61/178.33 inference(rename_variables,[],[3435])).
% 178.61/178.33 cnf(12680,plain,
% 178.61/178.33 (P51(x126801,f262(x126801,x126802))),
% 178.61/178.33 inference(rename_variables,[],[3377])).
% 178.61/178.33 cnf(12683,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x126831,a910)),f326(f172(x126831),f326(f136(x126831,x126832),x126833))),f326(f172(x126831),x126833)))),
% 178.61/178.33 inference(rename_variables,[],[4149])).
% 178.61/178.33 cnf(12684,plain,
% 178.61/178.33 (E(f326(f309(x126841,x126841,f7(x126841)),x126842),x126842)),
% 178.61/178.33 inference(rename_variables,[],[3560])).
% 178.61/178.33 cnf(12689,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x126891,a910)),x126892),f241(f922(x126891,a910))))),
% 178.61/178.33 inference(rename_variables,[],[3884])).
% 178.61/178.33 cnf(12693,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x126931),x126931))),
% 178.61/178.33 inference(rename_variables,[],[4711])).
% 178.61/178.33 cnf(12694,plain,
% 178.61/178.33 (~E(f326(a112,x126941),x126941)),
% 178.61/178.33 inference(rename_variables,[],[4660])).
% 178.61/178.33 cnf(12697,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x126971,a910)),f188(f922(x126971,a910))),x126972))),
% 178.61/178.33 inference(rename_variables,[],[3951])).
% 178.61/178.33 cnf(12700,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x127001),x127001))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(12703,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x127031,a910)),x127032),x127032))),
% 178.61/178.33 inference(rename_variables,[],[3799])).
% 178.61/178.33 cnf(12708,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x127081,a910)),x127082),f326(f326(f308(x127081),x127083),x127082)))),
% 178.61/178.33 inference(rename_variables,[],[3949])).
% 178.61/178.33 cnf(12711,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x127111,a910)),x127112),x127112))),
% 178.61/178.33 inference(rename_variables,[],[3799])).
% 178.61/178.33 cnf(12712,plain,
% 178.61/178.33 (~P106(f326(f326(f328(x127121),x127122),f188(f922(x127121,a910))))),
% 178.61/178.33 inference(rename_variables,[],[4724])).
% 178.61/178.33 cnf(12715,plain,
% 178.61/178.33 (~P106(f326(f326(f328(x127151),x127152),f188(f922(x127151,a910))))),
% 178.61/178.33 inference(rename_variables,[],[4724])).
% 178.61/178.33 cnf(12723,plain,
% 178.61/178.33 (~P106(f326(f326(f234(f922(f921(x127231,x127231),a910)),f326(f309(f921(x127231,x127231),f921(x127231,x127231),f7(f921(x127231,x127231))),f241(f922(f921(x127231,x127231),a910)))),f326(f309(f921(x127231,x127231),f921(x127231,x127231),f7(f921(x127231,x127231))),f188(f922(f921(x127231,x127231),a910)))))),
% 178.61/178.33 inference(scs_inference,[],[4739,3740,11366,12406,12503,12506,12598,12640,12644,12652,3749,3758,3474,4689,4690,3373,3376,3377,4688,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,11906,12193,12218,12230,12259,12265,12357,12466,12633,3559,3708,12165,3424,4670,10682,10782,11246,3116,3117,3119,3120,3123,3124,3126,3127,3128,3135,3139,3140,3141,3145,3150,3151,3155,3161,3170,3176,3181,3182,3183,3190,3191,3200,3210,3245,3250,3254,3255,3257,3265,3266,3286,3298,4658,4069,11937,3350,11646,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,11932,12378,3435,12665,12669,3441,3450,3961,4268,3340,3702,4055,11692,3401,3336,3363,3820,3359,3347,3348,3973,3383,3560,11091,11220,12467,12684,3434,4138,4679,10509,10679,11551,12625,12666,4686,12637,3494,12017,4722,11272,11371,11601,11604,3607,4700,3398,10582,10912,3399,3661,3317,3420,11682,4282,12655,4140,11292,11423,11482,12609,12615,4741,11195,11436,11545,11571,11609,11615,12553,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,12509,12550,12636,3866,3649,4555,4556,4677,11675,3803,4018,4065,3686,3944,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,12069,12189,12252,12328,12369,12444,12447,3954,11923,3487,3583,11751,3764,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,12084,12089,12304,12307,12390,12556,4728,11794,11825,11860,11867,11903,3941,3709,4088,3530,3532,3506,4712,4674,3892,3693,4729,4275,11568,3825,3543,12038,12041,12474,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,11988,12102,12105,4244,4203,12182,12524,4149,11088,12363,12534,4198,11298,12403,12473,12533,12577,3867,11871,12192,12335,12411,12457,4232,3884,10645,10742,11295,11376,11455,11519,12356,12425,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,12035,12162,12217,12233,12236,12239,12242,12418,12432,12435,12438,12441,12517,12581,3504,10637,10693,10927,11018,11140,11770,12066,12072,12081,12168,12179,12198,12203,12245,12268,3505,3579,12395,4711,10526,10558,11060,11104,11113,11951,11972,12136,12139,12142,12145,12229,12248,12251,12264,12316,12319,12322,12325,12485,12488,12584,12587,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,12000,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,12047,12310,12313,12347,12396,12421,12562,12606,12612,12712,3564,10909,10939,10948,10951,10954,3603,3596,4022,3959,10561,11926,11954,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,12099,12124,12127,12130,12133,12389,3524,10942,11098,11168,11955,12098,12290,12493,3983,4323,4718,3994,4030,4703,4706,3480,3484,4705,4704,3815,4418,4734,10808,10811,4740,11281,11284,11470,11581,11598,11638,4106,11635,11975,11979,12643,3949,11211,11217,11235,12214,12340,12424,3799,11351,11473,12450,12559,12569,12648,12703,3951,10945,11314,11479,11513,11524,12360,12647,3657,3765,10861,10864,10957,11124,4737,11920,4738,10701,10814,12512,12521,4378,11079,12530,12545,4286,3982,3927,4735,10531,10534,10903,10906,11791,4736,11900,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,865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% 178.61/178.33 cnf(12724,plain,
% 178.61/178.33 (P24(x127241,x127241,f7(x127241),x127242)),
% 178.61/178.33 inference(rename_variables,[],[3740])).
% 178.61/178.33 cnf(12727,plain,
% 178.61/178.33 (E(f326(f189(f915(x127271)),f169(x127271,x127272,x127273)),x127272)),
% 178.61/178.33 inference(rename_variables,[],[3570])).
% 178.61/178.33 cnf(12730,plain,
% 178.61/178.33 (P25(x127301,x127301,f31(x127301),x127302,x127302)),
% 178.61/178.33 inference(rename_variables,[],[4164])).
% 178.61/178.33 cnf(12733,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x127331),x127331))),
% 178.61/178.33 inference(rename_variables,[],[4711])).
% 178.61/178.33 cnf(12734,plain,
% 178.61/178.33 (P106(f326(f241(f922(x127341,a910)),x127342))),
% 178.61/178.33 inference(rename_variables,[],[3564])).
% 178.61/178.33 cnf(12737,plain,
% 178.61/178.33 (~P106(f326(f326(f328(x127371),x127372),f188(f922(x127371,a910))))),
% 178.61/178.33 inference(rename_variables,[],[4724])).
% 178.61/178.33 cnf(12740,plain,
% 178.61/178.33 (P106(f326(f326(f328(x127401),f326(x127402,x127403)),f326(f309(x127404,x127401,x127402),f241(f922(x127404,a910)))))),
% 178.61/178.33 inference(rename_variables,[],[4106])).
% 178.61/178.33 cnf(12741,plain,
% 178.61/178.33 (P106(f326(f326(f328(f921(x127411,x127411)),f326(f326(f251(x127411,x127411),x127412),x127412)),f306(x127411,x127413)))),
% 178.61/178.33 inference(rename_variables,[],[4140])).
% 178.61/178.33 cnf(12744,plain,
% 178.61/178.33 (P106(f326(f326(f328(f921(x127441,x127441)),f326(f326(f251(x127441,x127441),x127442),x127442)),f306(x127441,x127443)))),
% 178.61/178.33 inference(rename_variables,[],[4140])).
% 178.61/178.33 cnf(12747,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x127471),x127471))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(12748,plain,
% 178.61/178.33 (P106(f326(f241(f922(x127481,a910)),x127482))),
% 178.61/178.33 inference(rename_variables,[],[3564])).
% 178.61/178.33 cnf(12751,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x127511,a910)),x127512),f241(f922(x127511,a910))))),
% 178.61/178.33 inference(rename_variables,[],[3884])).
% 178.61/178.33 cnf(12752,plain,
% 178.61/178.33 (P25(x127521,x127521,f31(x127521),x127522,x127522)),
% 178.61/178.33 inference(rename_variables,[],[4164])).
% 178.61/178.33 cnf(12755,plain,
% 178.61/178.33 (P106(f326(f61(x127551),f326(f172(x127551),x127552)))),
% 178.61/178.33 inference(rename_variables,[],[3543])).
% 178.61/178.33 cnf(12760,plain,
% 178.61/178.33 (P106(f326(f326(f328(f921(f915(x127601),f915(x127601))),f326(f326(f251(f915(x127601),f915(x127601)),f113(x127601)),f113(x127601))),f326(f326(f288(f915(x127601),f915(x127601),f915(x127601)),f158(x127601,x127602)),f158(x127601,x127602))))),
% 178.61/178.33 inference(scs_inference,[],[4739,4164,12730,3740,11366,12406,12503,12506,12598,12640,12644,12652,3749,3758,3474,4689,4690,3373,3376,3377,4688,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,11906,12193,12218,12230,12259,12265,12357,12466,12633,3559,3708,12165,3424,4670,10682,10782,11246,3116,3117,3119,3120,3123,3124,3126,3127,3128,3135,3139,3140,3141,3145,3150,3151,3155,3161,3170,3176,3181,3182,3183,3190,3191,3200,3210,3245,3250,3254,3255,3257,3265,3266,3286,3298,4658,4069,11937,3350,11646,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,11932,12378,3435,12665,12669,12673,3441,3450,3961,4268,3570,3340,3702,4055,11692,3401,3336,3363,3820,3359,3347,3348,3973,3383,3560,11091,11220,12467,12684,3434,4138,4679,10509,10679,11551,12625,12666,4686,12637,3494,12017,4722,11272,11371,11601,11604,3607,4700,3398,10582,10912,3399,3661,3317,3420,11682,4282,12655,4140,11292,11423,11482,12609,12615,12741,4741,11195,11436,11545,11571,11609,11615,12553,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,12509,12550,12636,3866,3649,4555,4556,4677,11675,3803,4018,4065,3686,3944,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,12069,12189,12252,12328,12369,12444,12447,3954,11923,3487,3583,11751,3764,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,12084,12089,12304,12307,12390,12556,4728,11794,11825,11860,11867,11903,3941,3709,4088,3530,3532,3506,4712,4674,3892,3693,4729,4275,11568,3825,3543,12038,12041,12474,12578,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,11988,12102,12105,4244,4203,12182,12524,4149,11088,12363,12534,4198,11298,12403,12473,12533,12577,3867,11871,12192,12335,12411,12457,4232,3884,10645,10742,11295,11376,11455,11519,12356,12425,12689,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,12035,12162,12217,12233,12236,12239,12242,12418,12432,12435,12438,12441,12517,12581,12700,3504,10637,10693,10927,11018,11140,11770,12066,12072,12081,12168,12179,12198,12203,12245,12268,3505,3579,12395,4711,10526,10558,11060,11104,11113,11951,11972,12136,12139,12142,12145,12229,12248,12251,12264,12316,12319,12322,12325,12485,12488,12584,12587,12693,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,12000,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,12047,12310,12313,12347,12396,12421,12562,12606,12612,12712,12715,3564,10909,10939,10948,10951,10954,11537,12734,3603,3596,4022,3959,10561,11926,11954,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,12099,12124,12127,12130,12133,12389,3524,10942,11098,11168,11955,12098,12290,12493,3983,4323,4718,3994,4030,4703,4706,3480,3484,4705,4704,3815,4418,4734,10808,10811,4740,11281,11284,11470,11581,11598,11638,4106,11635,11975,11979,12643,12651,3949,11211,11217,11235,12214,12340,12424,3799,11351,11473,12450,12559,12569,12648,12703,3951,10945,11314,11479,11513,11524,12360,12647,3657,3765,10861,10864,10957,11124,4737,11920,4738,10701,10814,12512,12521,4378,11079,12530,12545,4286,3982,3927,4735,10531,10534,10903,10906,11791,4736,11900,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505,9532,9594,9599,9602,9639,9640,9641,9669,9670,9687,9708,9714,9726,9751,9772,9781,9782,9783,9784,9799,9801,9806,9836,9837,9843,9844,9888,9889,9900,9901,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10122,10123,10125,10134,10135,10155,10160,10251,10346,10347,10348,10349,10413,10431,2,8,9,4765,4766,4784,4826,4828,4829,4852,4858,4859,4869,4914,4916,4964,5094,5095,5112,5136,5193,5194,5200,5201,5203,5205,5214,5217,5218,5226,5239,5240,5246,5267,5268,5286,5291,5292,5293,5294,5299,5307,5310,5317,5372,5377,5378,5383,5390,5421,5431,5436,5452,5469,5470,5477,5478,5479,5490,5508,5510,5511,5518,5525,5526,5538,5539,5540,5541,5544,5545,5549,5550,5551,5552,5582,5583,5584,5592,5593,5594,5595,5638,5643,5645,5681,5683,5684,5686,5687,5689,5690,5692,5701,5706,5707,5708,5710,5712,5713,5714,5715,5716,5717,5726,5727,5737,5740,5751,5767,5768,5771,5781,5783,5784,5785,5812,5822,5837,5838,5847,5848,5850,5852,5857,5892,5897,5899,5958,5993,5994,6008,6014,6017,6018,6019,6020,6039,6043,6044,6053,6075,6104,6123,6127,6128,6130,6153,6157,6160,6161,6162,6177,6187,6188,6220,6221,6225,6247,6250,6253,6275,6276,6304,6307,6316,6326,6335,6339,6347,6348,6349,6350,6381,6382,6399,6452,6489,6491,6513,6514,6521,6525,6526,6530,6544,6560,6581,6582,6587,6598,6613,6633,6639,6641,6656,6657,6660,6661,6663,6665,6666,6667,6669,6671,6675,6681,6682,6684,6685,6691,6693,6735,6740,6755,6758,6759,6760,6794,6799,6801,6806,6807,6815,6819,6833,6856,6857,6859,6860,6871,6877,6896,6899,6918,6950,6951,6952,6958,6972,6991,6993,6995,6997,7002,7008,7010,7024,7029,7030,7065,7066,7067,7081,7082,7084,7085,7104,7106,7121,7149,7171,7182,7184,7186,7188,7189,7222,7223,7227,7228,7235,7236,7238,7240,7262,7271,7272,7283,7293,7333,7343,7347,7354,7365,7370,7372,7379,7387,7388,7401,7418,7439,7441,7460,7512,7513,7514,7516,7518,7522,7523,7528,7591,7620,7635,7651,7682,7686,7708,7730,7748,7751,7752,7762,7782,7784,7786,7788,7789,7790,7815,7841,7842,7873,7875,7876,7877,7882,7903,7920,7925,7931,7933,7941,7953,7954,7956,7977,7984,8005,8071,8072,8073,8120,8126,8127,8150,8151,8168,8169,8170,8227,8228,8257,8286,8295,8306,8319,8348,8352,8358,8370,8388,8393,8415,8460,8489,8503,8523,8526,8552,8577,8634,8635,8638,8639,8707,8741,8742,8743,8744,8771,8803,8832,8840,8841,8882,8903,8948,8964,9010,9013,9028,9035,9077,9116,9117,9135,9136,9150,9267,9272,9276,9296,9307,9330,9332,9335,9341,9343,9344,9355,9356,9375,9381,9392,9400,9444,9462,9517,9518,9524,9563,9586,9591,9631])).
% 178.61/178.33 cnf(12762,plain,
% 178.61/178.33 (P106(f326(f326(f328(f921(x127621,x127621)),f326(f326(f251(x127621,x127621),x127622),x127622)),f326(f326(f288(x127621,x127621,x127621),f306(x127621,x127623)),f306(x127621,f306(x127621,x127623)))))),
% 178.61/178.33 inference(scs_inference,[],[4739,4164,12730,3740,11366,12406,12503,12506,12598,12640,12644,12652,3749,3758,3474,4689,4690,3373,3376,3377,4688,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,11906,12193,12218,12230,12259,12265,12357,12466,12633,3559,3708,12165,3424,4670,10682,10782,11246,3116,3117,3119,3120,3123,3124,3126,3127,3128,3135,3139,3140,3141,3145,3150,3151,3155,3161,3170,3176,3181,3182,3183,3190,3191,3200,3210,3245,3250,3254,3255,3257,3265,3266,3286,3298,4658,4069,11937,3350,11646,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,11932,12378,3435,12665,12669,12673,3441,3450,3961,4268,3570,3340,3702,4055,11692,3401,3336,3363,3820,3359,3347,3348,3973,3383,3560,11091,11220,12467,12684,3434,4138,4679,10509,10679,11551,12625,12666,4686,12637,3494,12017,4722,11272,11371,11601,11604,3607,4700,3398,10582,10912,3399,3661,3317,3420,11682,4282,12655,4140,11292,11423,11482,12609,12615,12741,12744,4741,11195,11436,11545,11571,11609,11615,12553,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,12509,12550,12636,3866,3649,4555,4556,4677,11675,3803,4018,4065,3686,3944,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,12069,12189,12252,12328,12369,12444,12447,3954,11923,3487,3583,11751,3764,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,12084,12089,12304,12307,12390,12556,4728,11794,11825,11860,11867,11903,3941,3709,4088,3530,3532,3506,4712,4674,3892,3693,4729,4275,11568,3825,3543,12038,12041,12474,12578,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,11988,12102,12105,4244,4203,12182,12524,4149,11088,12363,12534,4198,11298,12403,12473,12533,12577,3867,11871,12192,12335,12411,12457,4232,3884,10645,10742,11295,11376,11455,11519,12356,12425,12689,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,12035,12162,12217,12233,12236,12239,12242,12418,12432,12435,12438,12441,12517,12581,12700,3504,10637,10693,10927,11018,11140,11770,12066,12072,12081,12168,12179,12198,12203,12245,12268,3505,3579,12395,4711,10526,10558,11060,11104,11113,11951,11972,12136,12139,12142,12145,12229,12248,12251,12264,12316,12319,12322,12325,12485,12488,12584,12587,12693,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,12000,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,12047,12310,12313,12347,12396,12421,12562,12606,12612,12712,12715,3564,10909,10939,10948,10951,10954,11537,12734,3603,3596,4022,3959,10561,11926,11954,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,12099,12124,12127,12130,12133,12389,3524,10942,11098,11168,11955,12098,12290,12493,3983,4323,4718,3994,4030,4703,4706,3480,3484,4705,4704,3815,4418,4734,10808,10811,4740,11281,11284,11470,11581,11598,11638,4106,11635,11975,11979,12643,12651,3949,11211,11217,11235,12214,12340,12424,3799,11351,11473,12450,12559,12569,12648,12703,3951,10945,11314,11479,11513,11524,12360,12647,3657,3765,10861,10864,10957,11124,4737,11920,4738,10701,10814,12512,12521,4378,11079,12530,12545,4286,3982,3927,4735,10531,10534,10903,10906,11791,4736,11900,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8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% 178.61/178.33 cnf(12765,plain,
% 178.61/178.33 (~P106(f326(f326(f188(f922(x127651,f922(x127652,a910))),x127653),x127654))),
% 178.61/178.33 inference(rename_variables,[],[4738])).
% 178.61/178.33 cnf(12768,plain,
% 178.61/178.33 (~P106(f326(f326(f188(f922(x127681,f922(x127682,a910))),x127683),x127684))),
% 178.61/178.33 inference(rename_variables,[],[4738])).
% 178.61/178.33 cnf(12771,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x127711,a910)),x127712),f241(f922(x127711,a910))))),
% 178.61/178.33 inference(rename_variables,[],[3884])).
% 178.61/178.33 cnf(12774,plain,
% 178.61/178.33 (P106(f326(f326(f328(f921(x127741,x127741)),f326(f326(f251(x127741,x127741),x127742),x127742)),f306(x127741,x127743)))),
% 178.61/178.33 inference(rename_variables,[],[4140])).
% 178.61/178.33 cnf(12777,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),f326(f326(f79(a914),x127771),x127772)),x127772))),
% 178.61/178.33 inference(rename_variables,[],[4735])).
% 178.61/178.33 cnf(12778,plain,
% 178.61/178.33 (P106(f326(f326(f235(a914),x127781),f326(a112,x127781)))),
% 178.61/178.33 inference(rename_variables,[],[3571])).
% 178.61/178.33 cnf(12781,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x127811,a910)),x127812),f241(f922(x127811,a910))))),
% 178.61/178.33 inference(rename_variables,[],[3884])).
% 178.61/178.33 cnf(12784,plain,
% 178.61/178.33 (E(f326(f283(x127841,x127841),f262(x127841,x127842)),x127842)),
% 178.61/178.33 inference(rename_variables,[],[3464])).
% 178.61/178.33 cnf(12791,plain,
% 178.61/178.33 (P106(f326(f326(f328(f921(f921(f915(x127911),f915(x127911)),f921(f915(x127911),f915(x127911)))),f575(f306(f921(f915(x127911),f915(x127911)),x127912),f145(x127911,x127913),f921(f915(x127911),f915(x127911)))),f306(f921(f915(x127911),f915(x127911)),x127912)))),
% 178.61/178.33 inference(scs_inference,[],[4739,4164,12730,3740,11366,12406,12503,12506,12598,12640,12644,12652,3749,3758,3474,4689,4690,3373,3376,3377,4688,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,11906,12193,12218,12230,12259,12265,12357,12466,12633,3559,3708,12165,3424,4670,10682,10782,11246,3116,3117,3119,3120,3123,3124,3126,3127,3128,3135,3139,3140,3141,3145,3150,3151,3155,3161,3170,3176,3181,3182,3183,3190,3191,3200,3210,3245,3250,3254,3255,3257,3265,3266,3286,3298,4658,3839,4069,11937,3350,11646,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,11932,12378,12574,3435,12665,12669,12673,3441,3450,3961,4268,3570,3340,3702,4055,11692,3401,3336,3363,3820,3359,3347,3348,3973,3383,3560,11091,11220,12467,12684,3434,4138,4679,10509,10679,11551,12625,12666,4686,12637,3494,12017,4722,11272,11371,11601,11604,3607,4700,3398,10582,10912,3399,3661,3317,3420,11682,4282,12655,4140,11292,11423,11482,12609,12615,12741,12744,12774,4741,11195,11436,11545,11571,11609,11615,12553,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,12509,12550,12636,3866,3649,4555,4556,4677,11675,3803,4018,4065,3686,3944,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,12069,12189,12252,12328,12369,12444,12447,3954,11923,3487,3583,11751,3764,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,12084,12089,12304,12307,12390,12556,4728,11794,11825,11860,11867,11903,3941,3709,4088,3530,3532,3506,4712,4674,3892,3693,4729,4275,11568,3825,3543,12038,12041,12474,12578,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,11988,12102,12105,4244,4203,12182,12524,4149,11088,12363,12534,4198,11298,12403,12473,12533,12577,3867,11871,12192,12335,12411,12457,4232,3884,10645,10742,11295,11376,11455,11519,12356,12425,12689,12751,12771,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,12035,12162,12217,12233,12236,12239,12242,12418,12432,12435,12438,12441,12517,12581,12700,3504,10637,10693,10927,11018,11140,11770,12066,12072,12081,12168,12179,12198,12203,12245,12268,3505,3579,12395,4711,10526,10558,11060,11104,11113,11951,11972,12136,12139,12142,12145,12229,12248,12251,12264,12316,12319,12322,12325,12485,12488,12584,12587,12693,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,12000,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,12047,12310,12313,12347,12396,12421,12562,12606,12612,12712,12715,3564,10909,10939,10948,10951,10954,11537,12734,3603,3596,4022,3959,10561,11926,11954,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,12099,12124,12127,12130,12133,12389,3524,10942,11098,11168,11955,12098,12290,12493,3983,4323,4718,3994,4030,4703,4706,3480,3484,4705,4704,3815,4418,4734,10808,10811,4740,11281,11284,11470,11581,11598,11638,4106,11635,11975,11979,12643,12651,3949,11211,11217,11235,12214,12340,12424,3799,11351,11473,12450,12559,12569,12648,12703,4280,3951,10945,11314,11479,11513,11524,12360,12647,3657,3765,10861,10864,10957,11124,4737,11920,4738,10701,10814,12512,12521,12565,12765,4378,11079,12530,12545,4286,3982,3927,4735,10531,10534,10903,10906,11791,11980,4736,11900,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505,9532,9594,9599,9602,9639,9640,9641,9669,9670,9687,9708,9714,9726,9751,9772,9781,9782,9783,9784,9799,9801,9806,9836,9837,9843,9844,9888,9889,9900,9901,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10122,10123,10125,10134,10135,10155,10160,10251,10346,10347,10348,10349,10413,10431,2,8,9,4765,4766,4784,4826,4828,4829,4852,4858,4859,4869,4914,4916,4964,5094,5095,5112,5136,5193,5194,5200,5201,5203,5205,5214,5217,5218,5226,5239,5240,5246,5267,5268,5286,5291,5292,5293,5294,5299,5307,5310,5317,5372,5377,5378,5383,5390,5421,5431,5436,5452,5469,5470,5477,5478,5479,5490,5508,5510,5511,5518,5525,5526,5538,5539,5540,5541,5544,5545,5549,5550,5551,5552,5582,5583,5584,5592,5593,5594,5595,5638,5643,5645,5681,5683,5684,5686,5687,5689,5690,5692,5701,5706,5707,5708,5710,5712,5713,5714,5715,5716,5717,5726,5727,5737,5740,5751,5767,5768,5771,5781,5783,5784,5785,5812,5822,5837,5838,5847,5848,5850,5852,5857,5892,5897,5899,5958,5993,5994,6008,6014,6017,6018,6019,6020,6039,6043,6044,6053,6075,6104,6123,6127,6128,6130,6153,6157,6160,6161,6162,6177,6187,6188,6220,6221,6225,6247,6250,6253,6275,6276,6304,6307,6316,6326,6335,6339,6347,6348,6349,6350,6381,6382,6399,6452,6489,6491,6513,6514,6521,6525,6526,6530,6544,6560,6581,6582,6587,6598,6613,6633,6639,6641,6656,6657,6660,6661,6663,6665,6666,6667,6669,6671,6675,6681,6682,6684,6685,6691,6693,6735,6740,6755,6758,6759,6760,6794,6799,6801,6806,6807,6815,6819,6833,6856,6857,6859,6860,6871,6877,6896,6899,6918,6950,6951,6952,6958,6972,6991,6993,6995,6997,7002,7008,7010,7024,7029,7030,7065,7066,7067,7081,7082,7084,7085,7104,7106,7121,7149,7171,7182,7184,7186,7188,7189,7222,7223,7227,7228,7235,7236,7238,7240,7262,7271,7272,7283,7293,7333,7343,7347,7354,7365,7370,7372,7379,7387,7388,7401,7418,7439,7441,7460,7512,7513,7514,7516,7518,7522,7523,7528,7591,7620,7635,7651,7682,7686,7708,7730,7748,7751,7752,7762,7782,7784,7786,7788,7789,7790,7815,7841,7842,7873,7875,7876,7877,7882,7903,7920,7925,7931,7933,7941,7953,7954,7956,7977,7984,8005,8071,8072,8073,8120,8126,8127,8150,8151,8168,8169,8170,8227,8228,8257,8286,8295,8306,8319,8348,8352,8358,8370,8388,8393,8415,8460,8489,8503,8523,8526,8552,8577,8634,8635,8638,8639,8707,8741,8742,8743,8744,8771,8803,8832,8840,8841,8882,8903,8948,8964,9010,9013,9028,9035,9077,9116,9117,9135,9136,9150,9267,9272,9276,9296,9307,9330,9332,9335,9341,9343,9344,9355,9356,9375,9381,9392,9400,9444,9462,9517,9518,9524,9563,9586,9591,9631,9645,9649,9650,9654,9655,9668,9692,9707,9716,9717,9719])).
% 178.61/178.33 cnf(12795,plain,
% 178.61/178.33 (~P106(f326(f326(f328(x127951),x127952),f188(f922(x127951,a910))))),
% 178.61/178.33 inference(rename_variables,[],[4724])).
% 178.61/178.33 cnf(12796,plain,
% 178.61/178.33 (P106(f326(f326(f328(f921(f915(x127961),f915(x127961))),f326(f326(f251(f915(x127961),f915(x127961)),f113(x127961)),f113(x127961))),f158(x127961,x127962)))),
% 178.61/178.33 inference(rename_variables,[],[4282])).
% 178.61/178.33 cnf(12798,plain,
% 178.61/178.33 (P106(f326(f326(f328(f921(a914,a914)),f326(f326(f251(a914,a914),f2(a914)),f326(a112,f2(a914)))),f326(f326(f288(a914,a914,a914),f306(a914,a316)),f306(a914,f306(a914,a316)))))),
% 178.61/178.33 inference(scs_inference,[],[4739,4164,12730,3740,11366,12406,12503,12506,12598,12640,12644,12652,3749,3758,3474,4689,4690,3373,3376,3377,4688,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,11906,12193,12218,12230,12259,12265,12357,12466,12633,3559,3708,12165,3424,4670,10682,10782,11246,3116,3117,3119,3120,3123,3124,3126,3127,3128,3135,3139,3140,3141,3145,3150,3151,3155,3161,3170,3176,3181,3182,3183,3190,3191,3200,3210,3245,3250,3254,3255,3257,3265,3266,3286,3298,4658,3839,4069,11937,3350,11646,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,11932,12378,12574,3435,12665,12669,12673,3441,3450,3961,4268,3570,3340,3702,4055,11692,3401,3336,3363,3820,3359,3347,3348,3973,3383,3560,11091,11220,12467,12684,3434,4138,4679,10509,10679,11551,12625,12666,4686,12637,3494,12017,4722,11272,11371,11601,11604,3607,4700,3398,10582,10912,3399,3661,3317,3420,11682,4282,12655,4140,11292,11423,11482,12609,12615,12741,12744,12774,4741,11195,11436,11545,11571,11609,11615,12553,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,12509,12550,12636,3866,3649,4555,4556,4677,11675,3803,4018,4065,3686,3944,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,12069,12189,12252,12328,12369,12444,12447,3954,11923,3487,3583,11751,3764,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,12084,12089,12304,12307,12390,12556,4728,11794,11825,11860,11867,11903,3941,3709,4088,3530,3532,3506,4712,4674,3892,3693,4729,4275,11568,3825,3543,12038,12041,12474,12578,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,11988,12102,12105,4244,4203,12182,12524,4149,11088,12363,12534,4198,11298,12403,12473,12533,12577,3867,11871,12192,12335,12411,12457,4232,3884,10645,10742,11295,11376,11455,11519,12356,12425,12689,12751,12771,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,12035,12162,12217,12233,12236,12239,12242,12418,12432,12435,12438,12441,12517,12581,12700,3504,10637,10693,10927,11018,11140,11770,12066,12072,12081,12168,12179,12198,12203,12245,12268,3505,3579,12395,4711,10526,10558,11060,11104,11113,11951,11972,12136,12139,12142,12145,12229,12248,12251,12264,12316,12319,12322,12325,12485,12488,12584,12587,12693,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,12000,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,12047,12310,12313,12347,12396,12421,12562,12606,12612,12712,12715,12737,3564,10909,10939,10948,10951,10954,11537,12734,3603,3596,4022,3959,10561,11926,11954,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,12099,12124,12127,12130,12133,12389,3524,10942,11098,11168,11955,12098,12290,12493,3983,4323,4718,3994,4030,4703,4706,3480,3484,4705,4704,3815,4418,4734,10808,10811,4740,11281,11284,11470,11581,11598,11638,4106,11635,11975,11979,12643,12651,3949,11211,11217,11235,12214,12340,12424,3799,11351,11473,12450,12559,12569,12648,12703,4280,3951,10945,11314,11479,11513,11524,12360,12647,3657,3765,10861,10864,10957,11124,4737,11920,4738,10701,10814,12512,12521,12565,12765,4378,11079,12530,12545,4286,3982,3927,4735,10531,10534,10903,10906,11791,11980,4736,11900,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,823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% 178.61/178.33 cnf(12801,plain,
% 178.61/178.33 (~P106(f326(f326(f328(x128011),x128012),f188(f922(x128011,a910))))),
% 178.61/178.33 inference(rename_variables,[],[4724])).
% 178.61/178.33 cnf(12806,plain,
% 178.61/178.33 (P31(x128061,x128062,f113(x128061))),
% 178.61/178.33 inference(rename_variables,[],[3440])).
% 178.61/178.33 cnf(12809,plain,
% 178.61/178.33 (E(f326(f189(f915(x128091)),f169(x128091,x128092,x128093)),x128092)),
% 178.61/178.33 inference(rename_variables,[],[3570])).
% 178.61/178.33 cnf(12812,plain,
% 178.61/178.33 (~P106(f326(f326(f328(x128121),x128122),f188(f922(x128121,a910))))),
% 178.61/178.33 inference(rename_variables,[],[4724])).
% 178.61/178.33 cnf(12816,plain,
% 178.61/178.33 (~P106(f326(f326(f328(f921(f915(x128161),f915(x128161))),f326(f326(f251(f915(x128161),f915(x128161)),x128162),x128162)),f147(x128161,f153(x128161,f113(f922(x128161,a914))))))),
% 178.61/178.33 inference(scs_inference,[],[4739,4164,12730,3740,11366,12406,12503,12506,12598,12640,12644,12652,3749,3758,3474,3440,4689,4690,3373,3376,3377,4688,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,11906,12193,12218,12230,12259,12265,12357,12466,12633,3559,3708,12165,3424,4670,10682,10782,11246,3116,3117,3119,3120,3123,3124,3126,3127,3128,3135,3139,3140,3141,3145,3150,3151,3155,3161,3170,3176,3181,3182,3183,3190,3191,3200,3210,3245,3250,3254,3255,3257,3265,3266,3286,3298,4658,3839,4069,11937,3350,11646,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,11932,12378,12574,3435,12665,12669,12673,3441,3450,3961,4268,3570,12727,3340,3702,4055,11692,3401,3336,3363,3820,3359,3347,3348,3973,3383,3560,11091,11220,12467,12684,3434,4138,4679,10509,10679,11551,12625,12666,4686,12637,3494,12017,4722,11272,11371,11601,11604,3607,4700,3398,10582,10912,3399,3661,3317,3420,11682,4282,12655,12796,4140,11292,11423,11482,12609,12615,12741,12744,12774,4741,11195,11436,11545,11571,11609,11615,12553,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,12509,12550,12636,3866,3649,4555,4556,4677,11675,3803,4018,4065,3686,3944,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,12069,12189,12252,12328,12369,12444,12447,3954,11923,3487,3583,11751,3764,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,12084,12089,12304,12307,12390,12556,4728,11794,11825,11860,11867,11903,3941,3709,4088,3530,3532,3506,4712,4674,3892,3693,4729,4275,11568,3825,3543,12038,12041,12474,12578,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,11988,12102,12105,4244,4203,12182,12524,4149,11088,12363,12534,4198,11298,12403,12473,12533,12577,3867,11871,12192,12335,12411,12457,4232,3884,10645,10742,11295,11376,11455,11519,12356,12425,12689,12751,12771,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,12035,12162,12217,12233,12236,12239,12242,12418,12432,12435,12438,12441,12517,12581,12700,3504,10637,10693,10927,11018,11140,11770,12066,12072,12081,12168,12179,12198,12203,12245,12268,3505,3579,12395,4711,10526,10558,11060,11104,11113,11951,11972,12136,12139,12142,12145,12229,12248,12251,12264,12316,12319,12322,12325,12485,12488,12584,12587,12693,12733,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,12000,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,12047,12310,12313,12347,12396,12421,12562,12606,12612,12712,12715,12737,12795,12801,3564,10909,10939,10948,10951,10954,11537,12734,3603,3596,4022,3959,10561,11926,11954,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,12099,12124,12127,12130,12133,12389,3524,10942,11098,11168,11955,12098,12290,12493,3983,4323,4718,3994,4030,4703,4706,3480,3484,4705,4704,3815,4418,11777,4734,10808,10811,4740,11281,11284,11470,11581,11598,11638,4106,11635,11975,11979,12643,12651,3949,11211,11217,11235,12214,12340,12424,3799,11351,11473,12450,12559,12569,12648,12703,4280,3951,10945,11314,11479,11513,11524,12360,12647,3657,3765,10861,10864,10957,11124,4737,11920,4738,10701,10814,12512,12521,12565,12765,4378,11079,12530,12545,4286,3982,3927,4735,10531,10534,10903,10906,11791,11980,4736,11900,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,80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% 178.61/178.33 cnf(12818,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x128181),x128181))),
% 178.61/178.33 inference(rename_variables,[],[4711])).
% 178.61/178.33 cnf(12821,plain,
% 178.61/178.33 (P106(f326(f326(f328(x128211),x128212),f241(f922(x128211,a910))))),
% 178.61/178.33 inference(rename_variables,[],[3656])).
% 178.61/178.33 cnf(12828,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x128281,a910)),x128282),x128282))),
% 178.61/178.33 inference(rename_variables,[],[3799])).
% 178.61/178.33 cnf(12831,plain,
% 178.61/178.33 (~P106(f326(f326(f328(x128311),x128312),f188(f922(x128311,a910))))),
% 178.61/178.33 inference(rename_variables,[],[4724])).
% 178.61/178.33 cnf(12834,plain,
% 178.61/178.33 (P106(f326(f326(f234(a1),f2(a1)),f326(f326(f243(a1),f326(f75(a1),x128341)),x128342)))),
% 178.61/178.33 inference(rename_variables,[],[3982])).
% 178.61/178.33 cnf(12837,plain,
% 178.61/178.33 (~E(f326(a112,x128371),x128371)),
% 178.61/178.33 inference(rename_variables,[],[4660])).
% 178.61/178.33 cnf(12839,plain,
% 178.61/178.33 (E(f326(f283(x128391,x128391),f262(x128391,x128392)),x128392)),
% 178.61/178.33 inference(rename_variables,[],[3464])).
% 178.61/178.33 cnf(12841,plain,
% 178.61/178.33 (P23(x128411,x128412,f188(f922(f913(x128411),a910)))),
% 178.61/178.33 inference(rename_variables,[],[3558])).
% 178.61/178.33 cnf(12847,plain,
% 178.61/178.33 (E(f326(f283(x128471,x128471),f262(x128471,x128472)),x128472)),
% 178.61/178.33 inference(rename_variables,[],[3464])).
% 178.61/178.33 cnf(12849,plain,
% 178.61/178.33 (P37(x128491,f153(x128491,x128492))),
% 178.61/178.33 inference(rename_variables,[],[3373])).
% 178.61/178.33 cnf(12858,plain,
% 178.61/178.33 (E(f326(f283(x128581,x128581),f262(x128581,x128582)),x128582)),
% 178.61/178.33 inference(rename_variables,[],[3464])).
% 178.61/178.33 cnf(12860,plain,
% 178.61/178.33 (E(f326(f283(x128601,x128601),f262(x128601,x128602)),x128602)),
% 178.61/178.33 inference(rename_variables,[],[3464])).
% 178.61/178.33 cnf(12862,plain,
% 178.61/178.33 (E(f326(f283(x128621,x128621),f262(x128621,x128622)),x128622)),
% 178.61/178.33 inference(rename_variables,[],[3464])).
% 178.61/178.33 cnf(12864,plain,
% 178.61/178.33 (P24(x128641,x128641,f7(x128641),x128642)),
% 178.61/178.33 inference(rename_variables,[],[3740])).
% 178.61/178.33 cnf(12866,plain,
% 178.61/178.33 (P24(x128661,x128661,f7(x128661),x128662)),
% 178.61/178.33 inference(rename_variables,[],[3740])).
% 178.61/178.33 cnf(12873,plain,
% 178.61/178.33 (E(f326(f283(x128731,x128731),f262(x128731,x128732)),x128732)),
% 178.61/178.33 inference(rename_variables,[],[3464])).
% 178.61/178.33 cnf(12883,plain,
% 178.61/178.33 (E(f326(f283(x128831,x128831),f262(x128831,x128832)),x128832)),
% 178.61/178.33 inference(rename_variables,[],[3464])).
% 178.61/178.33 cnf(12888,plain,
% 178.61/178.33 (E(f326(f283(x128881,x128881),f262(x128881,x128882)),x128882)),
% 178.61/178.33 inference(rename_variables,[],[3464])).
% 178.61/178.33 cnf(12892,plain,
% 178.61/178.33 (P25(x128921,x128921,f31(x128921),x128922,x128922)),
% 178.61/178.33 inference(rename_variables,[],[4164])).
% 178.61/178.33 cnf(12894,plain,
% 178.61/178.33 (P25(x128941,x128941,f31(x128941),x128942,x128942)),
% 178.61/178.33 inference(rename_variables,[],[4164])).
% 178.61/178.33 cnf(12896,plain,
% 178.61/178.33 (P25(x128961,x128961,f31(x128961),x128962,x128962)),
% 178.61/178.33 inference(rename_variables,[],[4164])).
% 178.61/178.33 cnf(12904,plain,
% 178.61/178.33 (E(f326(f283(x129041,x129041),f262(x129041,x129042)),x129042)),
% 178.61/178.33 inference(rename_variables,[],[3464])).
% 178.61/178.33 cnf(12906,plain,
% 178.61/178.33 (P38(x129061,f262(x129061,x129062))),
% 178.61/178.33 inference(rename_variables,[],[3374])).
% 178.61/178.33 cnf(12912,plain,
% 178.61/178.33 (E(f188(f922(f921(x129121,x129121),a910)),f262(x129121,f188(f922(x129121,a910))))),
% 178.61/178.33 inference(rename_variables,[],[3574])).
% 178.61/178.33 cnf(12914,plain,
% 178.61/178.33 (E(f188(f922(f921(x129141,x129141),a910)),f262(x129141,f188(f922(x129141,a910))))),
% 178.61/178.33 inference(rename_variables,[],[3574])).
% 178.61/178.33 cnf(12918,plain,
% 178.61/178.33 (E(f188(f922(f921(x129181,x129181),a910)),f262(x129181,f188(f922(x129181,a910))))),
% 178.61/178.33 inference(rename_variables,[],[3574])).
% 178.61/178.33 cnf(12923,plain,
% 178.61/178.33 (P51(x129231,f262(x129231,x129232))),
% 178.61/178.33 inference(rename_variables,[],[3377])).
% 178.61/178.33 cnf(12928,plain,
% 178.61/178.33 (P52(x129281,x129282,f262(x129281,x129282))),
% 178.61/178.33 inference(rename_variables,[],[3473])).
% 178.61/178.33 cnf(12930,plain,
% 178.61/178.33 (P52(x129301,x129302,f262(x129301,x129302))),
% 178.61/178.33 inference(rename_variables,[],[3473])).
% 178.61/178.33 cnf(12932,plain,
% 178.61/178.33 (P52(x129321,x129322,f262(x129321,x129322))),
% 178.61/178.33 inference(rename_variables,[],[3473])).
% 178.61/178.33 cnf(12934,plain,
% 178.61/178.33 (E(f326(f283(x129341,x129341),f262(x129341,x129342)),x129342)),
% 178.61/178.33 inference(rename_variables,[],[3464])).
% 178.61/178.33 cnf(12942,plain,
% 178.61/178.33 (P55(x129421,f188(f922(x129421,a910)),x129422)),
% 178.61/178.33 inference(rename_variables,[],[3522])).
% 178.61/178.33 cnf(12947,plain,
% 178.61/178.33 (P13(x129471,f922(x129471,a910),f308(x129471))),
% 178.61/178.33 inference(rename_variables,[],[3477])).
% 178.61/178.33 cnf(12951,plain,
% 178.61/178.33 (P42(x129511,x129512,x129513,x129514,f188(f922(x129511,a910)),x129514)),
% 178.61/178.33 inference(rename_variables,[],[4440])).
% 178.61/178.33 cnf(12961,plain,
% 178.61/178.33 (P54(x129611,x129611,f262(x129611,x129612))),
% 178.61/178.33 inference(rename_variables,[],[3474])).
% 178.61/178.33 cnf(12967,plain,
% 178.61/178.33 (P32(x129671,x129672,f113(x129671),f113(x129671))),
% 178.61/178.33 inference(rename_variables,[],[3749])).
% 178.61/178.33 cnf(12969,plain,
% 178.61/178.33 (P32(x129691,x129692,f113(x129691),f113(x129691))),
% 178.61/178.33 inference(rename_variables,[],[3749])).
% 178.61/178.33 cnf(12984,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x129841),f2(a914)))),
% 178.61/178.33 inference(rename_variables,[],[4715])).
% 178.61/178.33 cnf(12993,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a1),f326(f100(a1),x129931)),f326(f78(a1),f326(f100(a1),x129932))))),
% 178.61/178.33 inference(rename_variables,[],[4733])).
% 178.61/178.33 cnf(13003,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x130031),f2(a914)))),
% 178.61/178.33 inference(rename_variables,[],[4715])).
% 178.61/178.33 cnf(13006,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x130061),f2(a914)))),
% 178.61/178.33 inference(rename_variables,[],[4715])).
% 178.61/178.33 cnf(13009,plain,
% 178.61/178.33 (P106(f326(f61(a914),f304(a914,x130091,x130092)))),
% 178.61/178.33 inference(rename_variables,[],[3711])).
% 178.61/178.33 cnf(13012,plain,
% 178.61/178.33 (P106(f326(f61(a914),f304(a914,x130121,x130122)))),
% 178.61/178.33 inference(rename_variables,[],[3711])).
% 178.61/178.33 cnf(13015,plain,
% 178.61/178.33 (P106(f326(f61(a914),f304(a914,x130151,x130152)))),
% 178.61/178.33 inference(rename_variables,[],[3711])).
% 178.61/178.33 cnf(13018,plain,
% 178.61/178.33 (P106(f326(f61(a914),f304(a914,x130181,x130182)))),
% 178.61/178.33 inference(rename_variables,[],[3711])).
% 178.61/178.33 cnf(13025,plain,
% 178.61/178.33 (P106(f326(f326(f234(a1),f326(f78(a1),f326(f100(a1),x130251))),f326(f100(a1),x130252)))),
% 178.61/178.33 inference(rename_variables,[],[3983])).
% 178.61/178.33 cnf(13027,plain,
% 178.61/178.33 (P106(f326(f326(f234(a1),f2(a1)),f326(f103(a1),f2(a1))))),
% 178.61/178.33 inference(scs_inference,[],[4739,4164,12730,12752,12892,12894,3740,11366,12406,12503,12506,12598,12640,12644,12652,12724,12864,3749,12470,12967,12969,3758,3473,12928,12930,12932,3474,12961,3440,12806,4689,4690,11997,4440,12951,3477,12947,3316,3373,12849,3374,12906,3375,3376,3377,12680,12923,4688,3801,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,11906,12193,12218,12230,12259,12265,12357,12466,12633,12694,3559,3522,12942,3708,12165,3424,4670,10682,10782,11246,3116,3117,3119,3120,3123,3124,3126,3127,3128,3135,3139,3140,3141,3144,3145,3150,3151,3155,3161,3170,3176,3181,3182,3183,3190,3191,3200,3210,3245,3250,3254,3255,3257,3265,3266,3276,3286,4657,3298,3372,4658,3839,4069,11937,3350,11646,3485,3461,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,11932,12378,12574,12784,12839,12847,12858,12860,12862,12873,12883,12888,12904,3435,12665,12669,12673,3441,3450,3961,4268,3570,12727,12809,3340,3702,4055,11692,3558,12841,3401,3336,3363,3820,3359,3466,4173,4063,3882,3347,3348,3326,3973,3383,3560,11091,11220,12467,12684,3434,4138,4679,10509,10679,11551,12625,12666,12670,4686,12637,3494,12017,4096,4722,11272,11371,11601,11604,3901,3607,3826,4700,3574,12912,12914,12918,3398,10582,10912,3399,3661,3391,3317,3420,11682,4282,12655,12796,4140,11292,11423,11482,12609,12615,12741,12744,12774,4741,11195,11436,11545,11571,11609,11615,12553,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,12509,12550,12636,3866,3649,4555,4556,3721,4677,11675,3843,3803,4018,4065,3686,3944,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,12069,12189,12252,12328,12369,12444,12447,3954,11923,3487,3583,11751,3764,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,12084,12089,12304,12307,12390,12556,12659,12984,13003,4728,11794,11825,11860,11867,11903,3941,3709,3711,13009,13012,13015,4088,3530,3532,3506,4712,4674,3892,4204,3693,4729,4275,11568,3825,3543,12038,12041,12474,12578,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,11988,12102,12105,4244,4203,12182,12524,4149,11088,12363,12534,4198,11298,12403,12473,12533,12577,3867,11871,12192,12335,12411,12457,4232,3884,10645,10742,11295,11376,11455,11519,12356,12425,12689,12751,12771,12781,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,12035,12162,12217,12233,12236,12239,12242,12418,12432,12435,12438,12441,12517,12581,12700,3504,10637,10693,10927,11018,11140,11770,12066,12072,12081,12168,12179,12198,12203,12245,12268,3505,3579,12395,4711,10526,10558,11060,11104,11113,11951,11972,12136,12139,12142,12145,12229,12248,12251,12264,12316,12319,12322,12325,12485,12488,12584,12587,12693,12733,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,12000,12632,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,12047,12310,12313,12347,12396,12421,12562,12606,12612,12712,12715,12737,12795,12801,12812,3564,10909,10939,10948,10951,10954,11537,12734,3603,3596,4022,3959,10561,11926,11954,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,12099,12124,12127,12130,12133,12389,3524,10942,11098,11168,11955,12098,12290,12493,3983,12044,4323,4718,3994,4030,4703,4706,4707,3480,3484,4705,4704,3815,4418,11777,4734,10808,10811,4740,11281,11284,11470,11581,11598,11638,4106,11635,11975,11979,12643,12651,3949,11211,11217,11235,12214,12340,12424,3799,11351,11473,12450,12559,12569,12648,12703,12711,4280,3951,10945,11314,11479,11513,11524,12360,12647,3657,3765,10861,10864,10957,11124,3767,4737,11920,4733,12993,4738,10701,10814,12512,12521,12565,12765,12768,4378,11079,12530,12545,4286,3982,3927,3928,4735,10531,10534,10903,10906,11791,11980,4736,11900,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6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% 178.61/178.33 cnf(13030,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x130301),f2(a914)))),
% 178.61/178.33 inference(rename_variables,[],[4715])).
% 178.61/178.33 cnf(13031,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x130311),x130311))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(13038,plain,
% 178.61/178.33 (P106(f326(f326(f235(a914),x130381),f326(a112,x130381)))),
% 178.61/178.33 inference(rename_variables,[],[3571])).
% 178.61/178.33 cnf(13040,plain,
% 178.61/178.33 (P106(f326(f326(f234(a1),f2(a1)),a82))),
% 178.61/178.33 inference(scs_inference,[],[4739,4164,12730,12752,12892,12894,3740,11366,12406,12503,12506,12598,12640,12644,12652,12724,12864,3749,12470,12967,12969,3758,3473,12928,12930,12932,3474,12961,3440,12806,4689,4690,11997,4440,12951,3477,12947,3316,3373,12849,3374,12906,3375,3376,3377,12680,12923,4688,3801,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,11906,12193,12218,12230,12259,12265,12357,12466,12633,12694,3559,3522,12942,3708,12165,3424,4670,10682,10782,11246,3116,3117,3119,3120,3123,3124,3126,3127,3128,3135,3139,3140,3141,3144,3145,3150,3151,3155,3161,3170,3176,3181,3182,3183,3190,3191,3200,3210,3245,3250,3254,3255,3257,3265,3266,3276,3286,4657,3298,3372,4658,3839,4069,11937,3350,11646,3485,3461,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,11932,12378,12574,12784,12839,12847,12858,12860,12862,12873,12883,12888,12904,3435,12665,12669,12673,3441,3450,3961,4268,3570,12727,12809,3340,3702,4055,11692,3558,12841,3401,3336,3363,3820,3359,3466,4173,4063,3882,3347,3348,3326,3973,3383,3560,11091,11220,12467,12684,3434,4138,4679,10509,10679,11551,12625,12666,12670,4686,12637,3494,12017,4096,4722,11272,11371,11601,11604,3901,3607,3826,4700,3574,12912,12914,12918,3398,10582,10912,3399,3661,3391,3317,3420,11682,4282,12655,12796,4140,11292,11423,11482,12609,12615,12741,12744,12774,4741,11195,11436,11545,11571,11609,11615,12553,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,12509,12550,12636,3866,3649,4555,4556,3721,4677,11675,3843,3803,3845,4018,4065,3686,3944,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,12069,12189,12252,12328,12369,12444,12447,12778,3954,11923,3487,3583,11751,3764,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,12084,12089,12304,12307,12390,12556,12659,12984,13003,13006,4728,11794,11825,11860,11867,11903,3941,3709,3711,13009,13012,13015,4088,3530,3532,3506,4712,3397,4674,3892,4204,3693,4729,4275,11568,3825,3543,12038,12041,12474,12578,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,11988,12102,12105,4244,4203,12182,12524,4149,11088,12363,12534,4198,11298,12403,12473,12533,12577,3867,11871,12192,12335,12411,12457,4232,3884,10645,10742,11295,11376,11455,11519,12356,12425,12689,12751,12771,12781,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,12035,12162,12217,12233,12236,12239,12242,12418,12432,12435,12438,12441,12517,12581,12700,12747,3504,10637,10693,10927,11018,11140,11770,12066,12072,12081,12168,12179,12198,12203,12245,12268,3505,3579,12395,4711,10526,10558,11060,11104,11113,11951,11972,12136,12139,12142,12145,12229,12248,12251,12264,12316,12319,12322,12325,12485,12488,12584,12587,12693,12733,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,12000,12632,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,12047,12310,12313,12347,12396,12421,12562,12606,12612,12712,12715,12737,12795,12801,12812,3564,10909,10939,10948,10951,10954,11537,12734,3603,3596,4022,3959,10561,11926,11954,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,12099,12124,12127,12130,12133,12389,3524,10942,11098,11168,11955,12098,12290,12493,3983,12044,4323,3715,4718,3994,4030,4703,4706,4707,3480,3484,4705,4704,3815,4418,11777,4734,10808,10811,4740,11281,11284,11470,11581,11598,11638,4106,11635,11975,11979,12643,12651,3949,11211,11217,11235,12214,12340,12424,3799,11351,11473,12450,12559,12569,12648,12703,12711,4280,3951,10945,11314,11479,11513,11524,12360,12647,3657,3765,10861,10864,10957,11124,3767,4737,11920,4733,12993,4738,10701,10814,12512,12521,12565,12765,12768,4378,11079,12530,12545,4286,3982,3927,3928,4735,10531,10534,10903,10906,11791,11980,4736,11900,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505,9532,9594,9599,9602,9639,9640,9641,9669,9670,9687,9708,9714,9726,9751,9772,9781,9782,9783,9784,9799,9801,9806,9836,9837,9843,9844,9888,9889,9900,9901,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10122,10123,10125,10134,10135,10155,10160,10251,10346,10347,10348,10349,10413,10431,2,8,9,4765,4766,4784,4826,4828,4829,4852,4858,4859,4869,4914,4916,4964,5094,5095,5112,5136,5193,5194,5200,5201,5203,5205,5214,5217,5218,5226,5239,5240,5246,5267,5268,5286,5291,5292,5293,5294,5299,5307,5310,5317,5372,5377,5378,5383,5390,5421,5431,5436,5452,5469,5470,5477,5478,5479,5490,5508,5510,5511,5518,5525,5526,5538,5539,5540,5541,5544,5545,5549,5550,5551,5552,5582,5583,5584,5592,5593,5594,5595,5638,5643,5645,5681,5683,5684,5686,5687,5689,5690,5692,5701,5706,5707,5708,5710,5712,5713,5714,5715,5716,5717,5726,5727,5737,5740,5751,5767,5768,5771,5781,5783,5784,5785,5812,5822,5837,5838,5847,5848,5850,5852,5857,5892,5897,5899,5958,5993,5994,6008,6014,6017,6018,6019,6020,6039,6043,6044,6053,6075,6104,6123,6127,6128,6130,6153,6157,6160,6161,6162,6177,6187,6188,6220,6221,6225,6247,6250,6253,6275,6276,6304,6307,6316,6326,6335,6339,6347,6348,6349,6350,6381,6382,6399,6452,6489,6491,6513,6514,6521,6525,6526,6530,6544,6560,6581,6582,6587,6598,6613,6633,6639,6641,6656,6657,6660,6661,6663,6665,6666,6667,6669,6671,6675,6681,6682,6684,6685,6691,6693,6735,6740,6755,6758,6759,6760,6794,6799,6801,6806,6807,6815,6819,6833,6856,6857,6859,6860,6871,6877,6896,6899,6918,6950,6951,6952,6958,6972,6991,6993,6995,6997,7002,7008,7010,7024,7029,7030,7065,7066,7067,7081,7082,7084,7085,7104,7106,7121,7149,7171,7182,7184,7186,7188,7189,7222,7223,7227,7228,7235,7236,7238,7240,7262,7271,7272,7283,7293,7333,7343,7347,7354,7365,7370,7372,7379,7387,7388,7401,7418,7439,7441,7460,7512,7513,7514,7516,7518,7522,7523,7528,7591,7620,7635,7651,7682,7686,7708,7730,7748,7751,7752,7762,7782,7784,7786,7788,7789,7790,7815,7841,7842,7873,7875,7876,7877,7882,7903,7920,7925,7931,7933,7941,7953,7954,7956,7977,7984,8005,8071,8072,8073,8120,8126,8127,8150,8151,8168,8169,8170,8227,8228,8257,8286,8295,8306,8319,8348,8352,8358,8370,8388,8393,8415,8460,8489,8503,8523,8526,8552,8577,8634,8635,8638,8639,8707,8741,8742,8743,8744,8771,8803,8832,8840,8841,8882,8903,8948,8964,9010,9013,9028,9035,9077,9116,9117,9135,9136,9150,9267,9272,9276,9296,9307,9330,9332,9335,9341,9343,9344,9355,9356,9375,9381,9392,9400,9444,9462,9517,9518,9524,9563,9586,9591,9631,9645,9649,9650,9654,9655,9668,9692,9707,9716,9717,9719,9721,9750,9870,9871,9920,9921,9960,9996,10108,10164,10226,10320,10338,10343,3,2845,2846,2847,2848,2850,2851,2852,2856,2857,2858,2870,2874,2879,2880,2881,2882,2883,2884,2885,2891,2892,2894,2895,2896,2897,2898,2899,2901,2902,2903,2908,2912,2915,2916,2917,2918,2919,2929,2930,2931,2942,2959,2960,2964,2965,2967,2968,2972,2973,2974,2977,2978,2980,2985,2986,2990,2991,2992,2999,3001,3003,3004,3005,3006,3011,3032,3034,3036,3039,3040,3041,3046,3047,3066,3067,3068,3071,3073,3074,3079,3081,5468,5507,5654,5655,5656,5738,5836,5866,5900,5916,5918,5924,5986,5987,5988,5989,6006,6041,6172,6209,6219,6244,6279,6317])).
% 178.61/178.33 cnf(13042,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a1),f2(a1)),f326(f103(a1),f2(a1))))),
% 178.61/178.33 inference(scs_inference,[],[4739,4164,12730,12752,12892,12894,3740,11366,12406,12503,12506,12598,12640,12644,12652,12724,12864,3749,12470,12967,12969,3758,3473,12928,12930,12932,3474,12961,3440,12806,4689,4690,11997,4440,12951,3477,12947,3316,3373,12849,3374,12906,3375,3376,3377,12680,12923,4688,3801,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,11906,12193,12218,12230,12259,12265,12357,12466,12633,12694,3559,3522,12942,3708,12165,3424,4670,10682,10782,11246,3116,3117,3119,3120,3123,3124,3126,3127,3128,3135,3139,3140,3141,3144,3145,3150,3151,3155,3161,3170,3176,3181,3182,3183,3190,3191,3200,3210,3245,3250,3254,3255,3257,3265,3266,3276,3286,4657,3298,3372,4658,3839,4069,11937,3350,11646,3485,3461,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,11932,12378,12574,12784,12839,12847,12858,12860,12862,12873,12883,12888,12904,3435,12665,12669,12673,3441,3450,3961,4268,3570,12727,12809,3340,3702,4055,11692,3558,12841,3401,3336,3363,3820,3359,3466,4173,4063,3882,3347,3348,3326,3973,3383,3560,11091,11220,12467,12684,3434,4138,4679,10509,10679,11551,12625,12666,12670,4686,12637,3494,12017,4096,4722,11272,11371,11601,11604,3901,3607,3826,4700,3574,12912,12914,12918,3398,10582,10912,3399,3661,3391,3317,3420,11682,4282,12655,12796,4140,11292,11423,11482,12609,12615,12741,12744,12774,4741,11195,11436,11545,11571,11609,11615,12553,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,12509,12550,12636,3866,3649,4555,4556,3721,4677,11675,3843,3803,3845,4018,4065,3686,3944,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,12069,12189,12252,12328,12369,12444,12447,12778,3954,11923,3487,3583,11751,3764,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,12084,12089,12304,12307,12390,12556,12659,12984,13003,13006,4728,11794,11825,11860,11867,11903,3941,3709,3711,13009,13012,13015,4088,3530,3532,3506,4712,3397,4674,3892,4204,3693,4729,4275,11568,3825,3543,12038,12041,12474,12578,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,11988,12102,12105,4244,4203,12182,12524,4149,11088,12363,12534,4198,11298,12403,12473,12533,12577,3867,11871,12192,12335,12411,12457,4232,3884,10645,10742,11295,11376,11455,11519,12356,12425,12689,12751,12771,12781,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,12035,12162,12217,12233,12236,12239,12242,12418,12432,12435,12438,12441,12517,12581,12700,12747,3504,10637,10693,10927,11018,11140,11770,12066,12072,12081,12168,12179,12198,12203,12245,12268,3505,3579,12395,4711,10526,10558,11060,11104,11113,11951,11972,12136,12139,12142,12145,12229,12248,12251,12264,12316,12319,12322,12325,12485,12488,12584,12587,12693,12733,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,12000,12632,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,12047,12310,12313,12347,12396,12421,12562,12606,12612,12712,12715,12737,12795,12801,12812,3564,10909,10939,10948,10951,10954,11537,12734,3603,3596,4022,3959,10561,11926,11954,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,12099,12124,12127,12130,12133,12389,3524,10942,11098,11168,11955,12098,12290,12493,3983,12044,4323,3715,4718,3994,4030,4703,4706,4707,3480,3484,4705,4704,3815,4418,11777,4734,10808,10811,4740,11281,11284,11470,11581,11598,11638,4106,11635,11975,11979,12643,12651,3949,11211,11217,11235,12214,12340,12424,3799,11351,11473,12450,12559,12569,12648,12703,12711,4280,3951,10945,11314,11479,11513,11524,12360,12647,3657,3765,10861,10864,10957,11124,3767,4737,11920,4733,12993,4738,10701,10814,12512,12521,12565,12765,12768,4378,11079,12530,12545,4286,3982,3927,3928,4735,10531,10534,10903,10906,11791,11980,4736,11900,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,656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% 178.61/178.33 cnf(13045,plain,
% 178.61/178.33 (P106(f326(f326(f234(a1),x130451),x130451))),
% 178.61/178.33 inference(rename_variables,[],[3504])).
% 178.61/178.33 cnf(13048,plain,
% 178.61/178.33 (P106(f326(f61(a914),f304(a914,x130481,x130482)))),
% 178.61/178.33 inference(rename_variables,[],[3711])).
% 178.61/178.33 cnf(13051,plain,
% 178.61/178.33 (P106(f326(f61(a914),f304(a914,x130511,x130512)))),
% 178.61/178.33 inference(rename_variables,[],[3711])).
% 178.61/178.33 cnf(13054,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x130541),x130541))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(13071,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),f45(a914,x130711,x130712)),x130711))),
% 178.61/178.33 inference(rename_variables,[],[3959])).
% 178.61/178.33 cnf(13076,plain,
% 178.61/178.33 (P106(f326(f326(f235(a914),x130761),f326(a112,x130761)))),
% 178.61/178.33 inference(rename_variables,[],[3571])).
% 178.61/178.33 cnf(13079,plain,
% 178.61/178.33 (P106(f326(f326(f235(a914),x130791),f326(a112,x130791)))),
% 178.61/178.33 inference(rename_variables,[],[3571])).
% 178.61/178.33 cnf(13080,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x130801),f2(a914)))),
% 178.61/178.33 inference(rename_variables,[],[4715])).
% 178.61/178.33 cnf(13089,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a1),f326(f100(a1),x130891)),f2(a1)))),
% 178.61/178.33 inference(rename_variables,[],[4728])).
% 178.61/178.33 cnf(13090,plain,
% 178.61/178.33 (P106(f326(f241(f922(x130901,a910)),x130902))),
% 178.61/178.33 inference(rename_variables,[],[3564])).
% 178.61/178.33 cnf(13093,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a1),f326(f100(a1),x130931)),f2(a1)))),
% 178.61/178.33 inference(rename_variables,[],[4728])).
% 178.61/178.33 cnf(13094,plain,
% 178.61/178.33 (P106(f326(f241(f922(x130941,a910)),x130942))),
% 178.61/178.33 inference(rename_variables,[],[3564])).
% 178.61/178.33 cnf(13097,plain,
% 178.61/178.33 (P106(f326(f241(f922(x130971,a910)),x130972))),
% 178.61/178.33 inference(rename_variables,[],[3564])).
% 178.61/178.33 cnf(13108,plain,
% 178.61/178.33 (~P106(f326(f326(f328(x131081),x131082),f188(f922(x131081,a910))))),
% 178.61/178.33 inference(rename_variables,[],[4724])).
% 178.61/178.33 cnf(13109,plain,
% 178.61/178.33 (P106(f326(f61(x131091),f188(f922(x131091,a910))))),
% 178.61/178.33 inference(rename_variables,[],[3579])).
% 178.61/178.33 cnf(13118,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),f2(a914)),x131181))),
% 178.61/178.33 inference(rename_variables,[],[3524])).
% 178.61/178.33 cnf(13121,plain,
% 178.61/178.33 (~P106(f326(f326(f328(x131211),x131212),f188(f922(x131211,a910))))),
% 178.61/178.33 inference(rename_variables,[],[4724])).
% 178.61/178.33 cnf(13124,plain,
% 178.61/178.33 (~P106(f326(f326(f328(x131241),x131242),f188(f922(x131241,a910))))),
% 178.61/178.33 inference(rename_variables,[],[4724])).
% 178.61/178.33 cnf(13130,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x131301),x131301))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(13138,plain,
% 178.61/178.33 (P106(f326(f326(f235(a914),x131381),f326(a112,x131381)))),
% 178.61/178.33 inference(rename_variables,[],[3571])).
% 178.61/178.33 cnf(13141,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x131411),x131411))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(13146,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x131461),x131461))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(13149,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x131491),x131491))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(13152,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x131521),x131521))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(13155,plain,
% 178.61/178.33 (E(f326(f326(f3(f922(x131551,a910)),f188(f922(x131551,a910))),x131552),f188(f922(x131551,a910)))),
% 178.61/178.33 inference(rename_variables,[],[3770])).
% 178.61/178.33 cnf(13156,plain,
% 178.61/178.33 (P106(f326(f61(x131561),f188(f922(x131561,a910))))),
% 178.61/178.33 inference(rename_variables,[],[3579])).
% 178.61/178.33 cnf(13159,plain,
% 178.61/178.33 (E(f326(f326(f3(f922(x131591,a910)),f188(f922(x131591,a910))),x131592),f188(f922(x131591,a910)))),
% 178.61/178.33 inference(rename_variables,[],[3770])).
% 178.61/178.33 cnf(13160,plain,
% 178.61/178.33 (P106(f326(f61(x131601),f188(f922(x131601,a910))))),
% 178.61/178.33 inference(rename_variables,[],[3579])).
% 178.61/178.33 cnf(13163,plain,
% 178.61/178.33 (E(f326(f326(f3(f922(x131631,a910)),f188(f922(x131631,a910))),x131632),f188(f922(x131631,a910)))),
% 178.61/178.33 inference(rename_variables,[],[3770])).
% 178.61/178.33 cnf(13164,plain,
% 178.61/178.33 (P106(f326(f61(x131641),f188(f922(x131641,a910))))),
% 178.61/178.33 inference(rename_variables,[],[3579])).
% 178.61/178.33 cnf(13167,plain,
% 178.61/178.33 (E(f326(f326(f3(f922(x131671,a910)),f188(f922(x131671,a910))),x131672),f188(f922(x131671,a910)))),
% 178.61/178.33 inference(rename_variables,[],[3770])).
% 178.61/178.33 cnf(13168,plain,
% 178.61/178.33 (P106(f326(f61(x131681),f188(f922(x131681,a910))))),
% 178.61/178.33 inference(rename_variables,[],[3579])).
% 178.61/178.33 cnf(13172,plain,
% 178.61/178.33 (E(f326(f283(x131721,x131721),f262(x131721,x131722)),x131722)),
% 178.61/178.33 inference(rename_variables,[],[3464])).
% 178.61/178.33 cnf(13177,plain,
% 178.61/178.33 (E(f326(f326(f3(f922(x131771,a910)),f188(f922(x131771,a910))),x131772),f188(f922(x131771,a910)))),
% 178.61/178.33 inference(rename_variables,[],[3770])).
% 178.61/178.33 cnf(13178,plain,
% 178.61/178.33 (P106(f326(f61(x131781),f188(f922(x131781,a910))))),
% 178.61/178.33 inference(rename_variables,[],[3579])).
% 178.61/178.33 cnf(13182,plain,
% 178.61/178.33 (P106(f326(f61(x131821),f188(f922(x131821,a910))))),
% 178.61/178.33 inference(rename_variables,[],[3579])).
% 178.61/178.33 cnf(13185,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x131851),x131851))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(13189,plain,
% 178.61/178.33 (P106(f326(f326(f234(a1),x131891),x131891))),
% 178.61/178.33 inference(rename_variables,[],[3504])).
% 178.61/178.33 cnf(13198,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x131981),x131981))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(13209,plain,
% 178.61/178.33 (P106(f326(f326(f234(a1),x132091),x132091))),
% 178.61/178.33 inference(rename_variables,[],[3504])).
% 178.61/178.33 cnf(13218,plain,
% 178.61/178.33 (~P106(f326(f326(f328(x132181),x132182),f188(f922(x132181,a910))))),
% 178.61/178.33 inference(rename_variables,[],[4724])).
% 178.61/178.33 cnf(13229,plain,
% 178.61/178.33 (P106(f326(f326(f328(x132291),x132292),f241(f922(x132291,a910))))),
% 178.61/178.33 inference(rename_variables,[],[3656])).
% 178.61/178.33 cnf(13230,plain,
% 178.61/178.33 (E(f326(f192(x132301,x132302),x132303),f121(x132301,x132302))),
% 178.61/178.33 inference(rename_variables,[],[3418])).
% 178.61/178.33 cnf(13233,plain,
% 178.61/178.33 (P106(f326(f326(f328(x132331),f326(x132332,x132333)),f326(f309(x132334,x132331,x132332),f241(f922(x132334,a910)))))),
% 178.61/178.33 inference(rename_variables,[],[4106])).
% 178.61/178.33 cnf(13237,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x132371,a910)),x132372),f241(f922(x132371,a910))))),
% 178.61/178.33 inference(rename_variables,[],[3884])).
% 178.61/178.33 cnf(13240,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x132401,a910)),x132402),x132402))),
% 178.61/178.33 inference(rename_variables,[],[3799])).
% 178.61/178.33 cnf(13246,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x132461),f2(a914)))),
% 178.61/178.33 inference(rename_variables,[],[4715])).
% 178.61/178.33 cnf(13247,plain,
% 178.61/178.33 (P106(f326(f326(f234(a1),x132471),x132471))),
% 178.61/178.33 inference(rename_variables,[],[3504])).
% 178.61/178.33 cnf(13251,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x132511),f2(a914)))),
% 178.61/178.33 inference(rename_variables,[],[4715])).
% 178.61/178.33 cnf(13252,plain,
% 178.61/178.33 (P106(f326(f326(f234(a1),x132521),x132521))),
% 178.61/178.33 inference(rename_variables,[],[3504])).
% 178.61/178.33 cnf(13257,plain,
% 178.61/178.33 (P106(f326(f326(f234(a914),x132571),x132571))),
% 178.61/178.33 inference(rename_variables,[],[3503])).
% 178.61/178.33 cnf(13258,plain,
% 178.61/178.33 (P106(f326(f61(a914),f302(a914,x132581,x132582)))),
% 178.61/178.33 inference(rename_variables,[],[3709])).
% 178.61/178.33 cnf(13265,plain,
% 178.61/178.33 (E(f326(f326(f18(x132651,x132652),x132653),x132654),x132653)),
% 178.61/178.33 inference(rename_variables,[],[3494])).
% 178.61/178.33 cnf(13268,plain,
% 178.61/178.33 (P106(f326(f326(f234(f922(x132681,a910)),f326(f172(x132681),f176(x132681,x132682,x132683))),f326(f172(x132681),x132682)))),
% 178.61/178.33 inference(rename_variables,[],[4198])).
% 178.61/178.33 cnf(13272,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x132721),f2(a914)))),
% 178.61/178.33 inference(rename_variables,[],[4715])).
% 178.61/178.33 cnf(13273,plain,
% 178.61/178.33 (P106(f326(f326(f234(a1),x132731),x132731))),
% 178.61/178.33 inference(rename_variables,[],[3504])).
% 178.61/178.33 cnf(13277,plain,
% 178.61/178.33 (~P106(f326(f326(f235(a914),x132771),f2(a914)))),
% 178.61/178.33 inference(rename_variables,[],[4715])).
% 178.61/178.33 cnf(13278,plain,
% 178.61/178.33 (P106(f326(f326(f234(a1),x132781),x132781))),
% 178.61/178.33 inference(rename_variables,[],[3504])).
% 178.61/178.33 cnf(13282,plain,
% 178.61/178.33 (~P106(f326(f326(f234(f922(a914,a910)),f302(a914,f326(a112,x132821),f326(a112,x132821))),f302(a914,x132822,x132821)))),
% 178.61/178.34 inference(scs_inference,[],[4739,4164,12730,12752,12892,12894,3740,11366,12406,12503,12506,12598,12640,12644,12652,12724,12864,3749,12470,12967,12969,3758,3473,12928,12930,12932,3474,12961,3440,12806,4689,4690,11997,4440,12951,3477,12947,3316,3373,12849,3374,12906,3375,3376,3377,12680,12923,4688,3801,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,11906,12193,12218,12230,12259,12265,12357,12466,12633,12694,3559,3522,12942,3708,12165,3424,4670,10682,10782,11246,3116,3117,3119,3120,3123,3124,3126,3127,3128,3134,3135,3139,3140,3141,3144,3145,3146,3150,3151,3155,3158,3161,3170,3176,3181,3182,3183,3190,3191,3200,3210,3221,3225,3233,3236,3245,3247,3250,3254,3255,3257,3258,3265,3266,3276,3286,4657,3298,3372,4658,3839,4069,11937,3350,11646,3485,3461,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,11932,12378,12574,12784,12839,12847,12858,12860,12862,12873,12883,12888,12904,12934,3435,12665,12669,12673,3441,3450,3961,4268,3418,13230,3570,12727,12809,3340,3702,4055,11692,3558,12841,3401,3336,3363,3820,3359,3466,4173,4063,3882,3347,3348,3326,3973,3383,3560,11091,11220,12467,12684,3434,4138,4679,10509,10679,11551,12625,12666,12670,4686,12637,3494,12017,12020,4096,4722,11272,11371,11601,11604,3901,3607,3826,4700,3574,12912,12914,12918,3398,10582,10912,3399,3661,3391,3317,3420,11682,4282,12655,12796,4140,11292,11423,11482,12609,12615,12741,12744,12774,4741,11195,11436,11545,11571,11609,11615,12553,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,12509,12550,12636,3866,3649,4555,4556,3721,4677,11675,3843,3803,3845,4018,3770,13155,13159,13163,13167,13177,4065,12500,3686,3944,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,12069,12189,12252,12328,12369,12444,12447,12778,13038,13076,13079,13138,3954,11923,3487,3583,11751,3764,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,12084,12089,12304,12307,12390,12556,12659,12984,13003,13006,13030,13080,13246,13251,13272,4728,11794,11825,11860,11867,11903,13089,13093,3941,3709,13258,3711,13009,13012,13015,13018,13048,4088,3530,3532,3506,4712,3397,4674,3892,4204,3693,4729,4275,11568,3825,3543,12038,12041,12474,12578,12755,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,11988,12102,12105,4244,4203,12182,12524,4149,11088,12363,12534,4198,11298,12403,12473,12533,12577,3867,11871,12192,12335,12411,12457,4232,3884,10645,10742,11295,11376,11455,11519,12356,12425,12689,12751,12771,12781,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,12035,12162,12217,12233,12236,12239,12242,12418,12432,12435,12438,12441,12517,12581,12700,12747,13031,13054,13130,13141,13146,13149,13152,13185,13198,13257,3504,10637,10693,10927,11018,11140,11770,12066,12072,12081,12168,12179,12198,12203,12245,12268,12285,13045,13189,13209,13247,13252,13273,3505,3579,12395,13109,13156,13160,13164,13168,13178,13182,4711,10526,10558,11060,11104,11113,11951,11972,12136,12139,12142,12145,12229,12248,12251,12264,12316,12319,12322,12325,12485,12488,12584,12587,12693,12733,12818,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,12000,12632,12821,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,12047,12310,12313,12347,12396,12421,12562,12606,12612,12712,12715,12737,12795,12801,12812,12831,13108,13121,13124,3564,10909,10939,10948,10951,10954,11537,12734,12748,13090,13094,13097,3603,3596,4022,3959,10561,11926,11954,13071,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,12099,12124,12127,12130,12133,12389,3524,10942,11098,11168,11955,12098,12290,12493,12518,3983,12044,13025,4323,3715,4718,3994,4030,4703,4706,4707,3480,3484,4705,4704,3815,4418,11777,4734,10808,10811,4740,11281,11284,11470,11581,11598,11638,4106,11635,11975,11979,12643,12651,12740,3949,11211,11217,11235,12214,12340,12424,3799,11351,11473,12450,12559,12569,12648,12703,12711,12828,4280,3951,10945,11314,11479,11513,11524,12360,12647,3657,3765,10861,10864,10957,11124,3767,4737,11920,4733,12993,4738,10701,10814,12512,12521,12565,12765,12768,4378,11079,12530,12545,4286,3982,12834,3927,3928,4735,10531,10534,10903,10906,11791,11980,12777,4736,11900,11985,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505,9532,9594,9599,9602,9639,9640,9641,9669,9670,9687,9708,9714,9726,9751,9772,9781,9782,9783,9784,9799,9801,9806,9836,9837,9843,9844,9888,9889,9900,9901,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10122,10123,10125,10134,10135,10155,10160,10251,10346,10347,10348,10349,10413,10431,2,8,9,4765,4766,4784,4826,4828,4829,4852,4858,4859,4869,4914,4916,4964,5094,5095,5112,5136,5193,5194,5200,5201,5203,5205,5214,5217,5218,5226,5239,5240,5246,5267,5268,5286,5291,5292,5293,5294,5299,5307,5310,5317,5372,5377,5378,5383,5390,5421,5431,5436,5452,5469,5470,5477,5478,5479,5490,5508,5510,5511,5518,5525,5526,5538,5539,5540,5541,5544,5545,5549,5550,5551,5552,5582,5583,5584,5592,5593,5594,5595,5638,5643,5645,5681,5683,5684,5686,5687,5689,5690,5692,5701,5706,5707,5708,5710,5712,5713,5714,5715,5716,5717,5726,5727,5737,5740,5751,5767,5768,5771,5781,5783,5784,5785,5812,5822,5837,5838,5847,5848,5850,5852,5857,5892,5897,5899,5958,5993,5994,6008,6014,6017,6018,6019,6020,6039,6043,6044,6053,6075,6104,6123,6127,6128,6130,6153,6157,6160,6161,6162,6177,6187,6188,6220,6221,6225,6247,6250,6253,6275,6276,6304,6307,6316,6326,6335,6339,6347,6348,6349,6350,6381,6382,6399,6452,6489,6491,6513,6514,6521,6525,6526,6530,6544,6560,6581,6582,6587,6598,6613,6633,6639,6641,6656,6657,6660,6661,6663,6665,6666,6667,6669,6671,6675,6681,6682,6684,6685,6691,6693,6735,6740,6755,6758,6759,6760,6794,6799,6801,6806,6807,6815,6819,6833,6856,6857,6859,6860,6871,6877,6896,6899,6918,6950,6951,6952,6958,6972,6991,6993,6995,6997,7002,7008,7010,7024,7029,7030,7065,7066,7067,7081,7082,7084,7085,7104,7106,7121,7149,7171,7182,7184,7186,7188,7189,7222,7223,7227,7228,7235,7236,7238,7240,7262,7271,7272,7283,7293,7333,7343,7347,7354,7365,7370,7372,7379,7387,7388,7401,7418,7439,7441,7460,7512,7513,7514,7516,7518,7522,7523,7528,7591,7620,7635,7651,7682,7686,7708,7730,7748,7751,7752,7762,7782,7784,7786,7788,7789,7790,7815,7841,7842,7873,7875,7876,7877,7882,7903,7920,7925,7931,7933,7941,7953,7954,7956,7977,7984,8005,8071,8072,8073,8120,8126,8127,8150,8151,8168,8169,8170,8227,8228,8257,8286,8295,8306,8319,8348,8352,8358,8370,8388,8393,8415,8460,8489,8503,8523,8526,8552,8577,8634,8635,8638,8639,8707,8741,8742,8743,8744,8771,8803,8832,8840,8841,8882,8903,8948,8964,9010,9013,9028,9035,9077,9116,9117,9135,9136,9150,9267,9272,9276,9296,9307,9330,9332,9335,9341,9343,9344,9355,9356,9375,9381,9392,9400,9444,9462,9517,9518,9524,9563,9586,9591,9631,9645,9649,9650,9654,9655,9668,9692,9707,9716,9717,9719,9721,9750,9870,9871,9920,9921,9960,9996,10108,10164,10226,10320,10338,10343,3,2845,2846,2847,2848,2850,2851,2852,2856,2857,2858,2870,2874,2879,2880,2881,2882,2883,2884,2885,2891,2892,2894,2895,2896,2897,2898,2899,2901,2902,2903,2908,2912,2915,2916,2917,2918,2919,2929,2930,2931,2942,2959,2960,2964,2965,2967,2968,2972,2973,2974,2977,2978,2980,2985,2986,2990,2991,2992,2999,3001,3003,3004,3005,3006,3011,3032,3034,3036,3039,3040,3041,3046,3047,3066,3067,3068,3071,3073,3074,3079,3081,5468,5507,5654,5655,5656,5738,5836,5866,5900,5916,5918,5924,5986,5987,5988,5989,6006,6041,6172,6209,6219,6244,6279,6317,6468,6473,6511,6512,6535,6537,6539,6546,6547,6548,6549,6550,6551,6552,6553,6634,6705,6706,6793,6828,6829,6868,6869,7009,7023,7094,7095,7101,7122,7155,7157,7196,7204,7225,7226,7244,7245,7282,7327,7328,7425,7493,7494,7495,7496,7511,7544,7596,7597,7606,7611,7612,7623,7654,7655,7656,7657,7797,7799,7800,7801,7807,7808,8013,8019,8020,8030,8068,8069,8146,8186,8240,8262,8263,8334,8428,8499,8500,8504,8538,8598,8599,8666,8683])).
% 178.61/178.34 cnf(13283,plain,
% 178.61/178.34 (P106(f326(f326(f234(a914),x132831),x132831))),
% 178.61/178.34 inference(rename_variables,[],[3503])).
% 178.61/178.34 cnf(13285,plain,
% 178.61/178.34 (~P106(f326(f326(f235(f922(a914,a910)),f302(a914,f326(a112,x132851),f326(a112,x132851))),f302(a914,x132852,x132851)))),
% 178.61/178.34 inference(scs_inference,[],[4739,4164,12730,12752,12892,12894,3740,11366,12406,12503,12506,12598,12640,12644,12652,12724,12864,3749,12470,12967,12969,3758,3473,12928,12930,12932,3474,12961,3440,12806,4689,4690,11997,4440,12951,3477,12947,3316,3373,12849,3374,12906,3375,3376,3377,12680,12923,4688,3801,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,11906,12193,12218,12230,12259,12265,12357,12466,12633,12694,3559,3522,12942,3708,12165,3424,4670,10682,10782,11246,3116,3117,3119,3120,3123,3124,3126,3127,3128,3134,3135,3139,3140,3141,3144,3145,3146,3150,3151,3155,3158,3161,3170,3176,3181,3182,3183,3190,3191,3200,3210,3221,3225,3233,3236,3245,3247,3250,3254,3255,3257,3258,3265,3266,3276,3286,4657,3298,3372,4658,3839,4069,11937,3350,11646,3485,3461,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,11932,12378,12574,12784,12839,12847,12858,12860,12862,12873,12883,12888,12904,12934,3435,12665,12669,12673,3441,3450,3961,4268,3418,13230,3570,12727,12809,3340,3702,4055,11692,3558,12841,3401,3336,3363,3820,3359,3466,4173,4063,3882,3347,3348,3326,3973,3383,3560,11091,11220,12467,12684,3434,4138,4679,10509,10679,11551,12625,12666,12670,4686,12637,3494,12017,12020,4096,4722,11272,11371,11601,11604,3901,3607,3826,4700,3574,12912,12914,12918,3398,10582,10912,3399,3661,3391,3317,3420,11682,4282,12655,12796,4140,11292,11423,11482,12609,12615,12741,12744,12774,4741,11195,11436,11545,11571,11609,11615,12553,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,12509,12550,12636,3866,3649,4555,4556,3721,4677,11675,3843,3803,3845,4018,3770,13155,13159,13163,13167,13177,4065,12500,3686,3944,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,12069,12189,12252,12328,12369,12444,12447,12778,13038,13076,13079,13138,3954,11923,3487,3583,11751,3764,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,12084,12089,12304,12307,12390,12556,12659,12984,13003,13006,13030,13080,13246,13251,13272,4728,11794,11825,11860,11867,11903,13089,13093,3941,3709,13258,3711,13009,13012,13015,13018,13048,4088,3530,3532,3506,4712,3397,4674,3892,4204,3693,4729,4275,11568,3825,3543,12038,12041,12474,12578,12755,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,11988,12102,12105,4244,4203,12182,12524,4149,11088,12363,12534,4198,11298,12403,12473,12533,12577,3867,11871,12192,12335,12411,12457,4232,3884,10645,10742,11295,11376,11455,11519,12356,12425,12689,12751,12771,12781,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,12035,12162,12217,12233,12236,12239,12242,12418,12432,12435,12438,12441,12517,12581,12700,12747,13031,13054,13130,13141,13146,13149,13152,13185,13198,13257,13283,3504,10637,10693,10927,11018,11140,11770,12066,12072,12081,12168,12179,12198,12203,12245,12268,12285,13045,13189,13209,13247,13252,13273,3505,3579,12395,13109,13156,13160,13164,13168,13178,13182,4711,10526,10558,11060,11104,11113,11951,11972,12136,12139,12142,12145,12229,12248,12251,12264,12316,12319,12322,12325,12485,12488,12584,12587,12693,12733,12818,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,12000,12632,12821,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,12047,12310,12313,12347,12396,12421,12562,12606,12612,12712,12715,12737,12795,12801,12812,12831,13108,13121,13124,3564,10909,10939,10948,10951,10954,11537,12734,12748,13090,13094,13097,3603,3596,4022,3959,10561,11926,11954,13071,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,12099,12124,12127,12130,12133,12389,3524,10942,11098,11168,11955,12098,12290,12493,12518,3983,12044,13025,4323,3715,4718,3994,4030,4703,4706,4707,3480,3484,4705,4704,3815,4418,11777,4734,10808,10811,4740,11281,11284,11470,11581,11598,11638,4106,11635,11975,11979,12643,12651,12740,3949,11211,11217,11235,12214,12340,12424,3799,11351,11473,12450,12559,12569,12648,12703,12711,12828,4280,3951,10945,11314,11479,11513,11524,12360,12647,3657,3765,10861,10864,10957,11124,3767,4737,11920,4733,12993,4738,10701,10814,12512,12521,12565,12765,12768,4378,11079,12530,12545,4286,3982,12834,3927,3928,4735,10531,10534,10903,10906,11791,11980,12777,4736,11900,11985,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505,9532,9594,9599,9602,9639,9640,9641,9669,9670,9687,9708,9714,9726,9751,9772,9781,9782,9783,9784,9799,9801,9806,9836,9837,9843,9844,9888,9889,9900,9901,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10122,10123,10125,10134,10135,10155,10160,10251,10346,10347,10348,10349,10413,10431,2,8,9,4765,4766,4784,4826,4828,4829,4852,4858,4859,4869,4914,4916,4964,5094,5095,5112,5136,5193,5194,5200,5201,5203,5205,5214,5217,5218,5226,5239,5240,5246,5267,5268,5286,5291,5292,5293,5294,5299,5307,5310,5317,5372,5377,5378,5383,5390,5421,5431,5436,5452,5469,5470,5477,5478,5479,5490,5508,5510,5511,5518,5525,5526,5538,5539,5540,5541,5544,5545,5549,5550,5551,5552,5582,5583,5584,5592,5593,5594,5595,5638,5643,5645,5681,5683,5684,5686,5687,5689,5690,5692,5701,5706,5707,5708,5710,5712,5713,5714,5715,5716,5717,5726,5727,5737,5740,5751,5767,5768,5771,5781,5783,5784,5785,5812,5822,5837,5838,5847,5848,5850,5852,5857,5892,5897,5899,5958,5993,5994,6008,6014,6017,6018,6019,6020,6039,6043,6044,6053,6075,6104,6123,6127,6128,6130,6153,6157,6160,6161,6162,6177,6187,6188,6220,6221,6225,6247,6250,6253,6275,6276,6304,6307,6316,6326,6335,6339,6347,6348,6349,6350,6381,6382,6399,6452,6489,6491,6513,6514,6521,6525,6526,6530,6544,6560,6581,6582,6587,6598,6613,6633,6639,6641,6656,6657,6660,6661,6663,6665,6666,6667,6669,6671,6675,6681,6682,6684,6685,6691,6693,6735,6740,6755,6758,6759,6760,6794,6799,6801,6806,6807,6815,6819,6833,6856,6857,6859,6860,6871,6877,6896,6899,6918,6950,6951,6952,6958,6972,6991,6993,6995,6997,7002,7008,7010,7024,7029,7030,7065,7066,7067,7081,7082,7084,7085,7104,7106,7121,7149,7171,7182,7184,7186,7188,7189,7222,7223,7227,7228,7235,7236,7238,7240,7262,7271,7272,7283,7293,7333,7343,7347,7354,7365,7370,7372,7379,7387,7388,7401,7418,7439,7441,7460,7512,7513,7514,7516,7518,7522,7523,7528,7591,7620,7635,7651,7682,7686,7708,7730,7748,7751,7752,7762,7782,7784,7786,7788,7789,7790,7815,7841,7842,7873,7875,7876,7877,7882,7903,7920,7925,7931,7933,7941,7953,7954,7956,7977,7984,8005,8071,8072,8073,8120,8126,8127,8150,8151,8168,8169,8170,8227,8228,8257,8286,8295,8306,8319,8348,8352,8358,8370,8388,8393,8415,8460,8489,8503,8523,8526,8552,8577,8634,8635,8638,8639,8707,8741,8742,8743,8744,8771,8803,8832,8840,8841,8882,8903,8948,8964,9010,9013,9028,9035,9077,9116,9117,9135,9136,9150,9267,9272,9276,9296,9307,9330,9332,9335,9341,9343,9344,9355,9356,9375,9381,9392,9400,9444,9462,9517,9518,9524,9563,9586,9591,9631,9645,9649,9650,9654,9655,9668,9692,9707,9716,9717,9719,9721,9750,9870,9871,9920,9921,9960,9996,10108,10164,10226,10320,10338,10343,3,2845,2846,2847,2848,2850,2851,2852,2856,2857,2858,2870,2874,2879,2880,2881,2882,2883,2884,2885,2891,2892,2894,2895,2896,2897,2898,2899,2901,2902,2903,2908,2912,2915,2916,2917,2918,2919,2929,2930,2931,2942,2959,2960,2964,2965,2967,2968,2972,2973,2974,2977,2978,2980,2985,2986,2990,2991,2992,2999,3001,3003,3004,3005,3006,3011,3032,3034,3036,3039,3040,3041,3046,3047,3066,3067,3068,3071,3073,3074,3079,3081,5468,5507,5654,5655,5656,5738,5836,5866,5900,5916,5918,5924,5986,5987,5988,5989,6006,6041,6172,6209,6219,6244,6279,6317,6468,6473,6511,6512,6535,6537,6539,6546,6547,6548,6549,6550,6551,6552,6553,6634,6705,6706,6793,6828,6829,6868,6869,7009,7023,7094,7095,7101,7122,7155,7157,7196,7204,7225,7226,7244,7245,7282,7327,7328,7425,7493,7494,7495,7496,7511,7544,7596,7597,7606,7611,7612,7623,7654,7655,7656,7657,7797,7799,7800,7801,7807,7808,8013,8019,8020,8030,8068,8069,8146,8186,8240,8262,8263,8334,8428,8499,8500,8504,8538,8598,8599,8666,8683,8684])).
% 178.61/178.34 cnf(13286,plain,
% 178.61/178.34 (P106(f326(f326(f234(a914),x132861),x132861))),
% 178.61/178.34 inference(rename_variables,[],[3503])).
% 178.61/178.34 cnf(13289,plain,
% 178.61/178.34 (~P106(f326(f326(f234(a914),f326(a112,x132891)),x132891))),
% 178.61/178.34 inference(rename_variables,[],[4721])).
% 178.61/178.34 cnf(13294,plain,
% 178.61/178.34 (E(x132941,f521(f326(f7(x132942),f326(f7(x132942),x132941)),f7(x132942),x132942,x132942))),
% 178.61/178.34 inference(scs_inference,[],[4739,4164,12730,12752,12892,12894,3740,11366,12406,12503,12506,12598,12640,12644,12652,12724,12864,12866,3749,12470,12967,12969,3758,3473,12928,12930,12932,3474,12961,3440,12806,4689,4690,11997,4440,12951,3477,12947,3316,3373,12849,3374,12906,3375,3376,3377,12680,12923,4688,3801,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,11906,12193,12218,12230,12259,12265,12357,12466,12633,12694,3559,3522,12942,3708,12165,3424,4670,10682,10782,11246,3116,3117,3119,3120,3123,3124,3126,3127,3128,3134,3135,3139,3140,3141,3144,3145,3146,3150,3151,3155,3158,3161,3170,3176,3181,3182,3183,3190,3191,3200,3210,3221,3225,3233,3236,3245,3247,3250,3254,3255,3257,3258,3265,3266,3276,3286,4657,3298,3372,4658,3839,4069,11937,3350,11646,3485,3461,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,11932,12378,12574,12784,12839,12847,12858,12860,12862,12873,12883,12888,12904,12934,3435,12665,12669,12673,3441,3450,3961,4268,3418,13230,3570,12727,12809,3339,3340,3702,4055,11692,3558,12841,3401,3336,3363,3820,3359,3466,4173,4063,3882,3347,3348,3326,3973,3383,3560,11091,11220,12467,12684,3434,4138,4679,10509,10679,11551,12625,12666,12670,4686,12637,3494,12017,12020,4096,4722,11272,11371,11601,11604,3901,3607,3826,4700,3574,12912,12914,12918,3398,10582,10912,3399,3661,3391,3317,3420,11682,4282,12655,12796,4140,11292,11423,11482,12609,12615,12741,12744,12774,4741,11195,11436,11545,11571,11609,11615,12553,4742,11325,11439,11548,4743,11442,4744,11500,4745,3419,3700,12509,12550,12636,3866,3649,4555,4556,3721,4677,11675,3843,3803,3845,4018,3770,13155,13159,13163,13167,13177,4065,12500,3686,3944,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,12069,12189,12252,12328,12369,12444,12447,12778,13038,13076,13079,13138,3954,11923,3487,3583,11751,3764,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,12084,12089,12304,12307,12390,12556,12659,12984,13003,13006,13030,13080,13246,13251,13272,4728,11794,11825,11860,11867,11903,13089,13093,3941,3709,13258,3711,13009,13012,13015,13018,13048,4088,3530,3532,3506,4712,3397,4674,3892,4204,3693,4729,4275,11568,3825,3543,12038,12041,12474,12578,12755,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,11988,12102,12105,4244,4203,12182,12524,4149,11088,12363,12534,4198,11298,12403,12473,12533,12577,3867,11871,12192,12335,12411,12457,4232,3884,10645,10742,11295,11376,11455,11519,12356,12425,12689,12751,12771,12781,4732,11039,11447,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,12035,12162,12217,12233,12236,12239,12242,12418,12432,12435,12438,12441,12517,12581,12700,12747,13031,13054,13130,13141,13146,13149,13152,13185,13198,13257,13283,13286,3504,10637,10693,10927,11018,11140,11770,12066,12072,12081,12168,12179,12198,12203,12245,12268,12285,13045,13189,13209,13247,13252,13273,3505,3579,12395,13109,13156,13160,13164,13168,13178,13182,4711,10526,10558,11060,11104,11113,11951,11972,12136,12139,12142,12145,12229,12248,12251,12264,12316,12319,12322,12325,12485,12488,12584,12587,12693,12733,12818,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,12000,12632,12821,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,12047,12310,12313,12347,12396,12421,12562,12606,12612,12712,12715,12737,12795,12801,12812,12831,13108,13121,13124,3564,10909,10939,10948,10951,10954,11537,12734,12748,13090,13094,13097,3603,3596,4022,3959,10561,11926,11954,13071,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,12099,12124,12127,12130,12133,12389,13289,3524,10942,11098,11168,11955,12098,12290,12493,12518,3983,12044,13025,4323,3715,4718,3994,4030,4703,4706,4707,3480,3484,4705,4704,3815,4418,11777,4734,10808,10811,4740,11281,11284,11470,11581,11598,11638,4106,11635,11975,11979,12643,12651,12740,13233,3949,11211,11217,11235,12214,12340,12424,3799,11351,11473,12450,12559,12569,12648,12703,12711,12828,4280,3951,10945,11314,11479,11513,11524,12360,12647,3657,3765,10861,10864,10957,11124,3767,4737,11920,4733,12993,4738,10701,10814,12512,12521,12565,12765,12768,4378,11079,12530,12545,4286,3982,12834,3927,3928,4735,10531,10534,10903,10906,11791,11980,12777,4736,11900,11985,3952,10867,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505,9532,9594,9599,9602,9639,9640,9641,9669,9670,9687,9708,9714,9726,9751,9772,9781,9782,9783,9784,9799,9801,9806,9836,9837,9843,9844,9888,9889,9900,9901,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10122,10123,10125,10134,10135,10155,10160,10251,10346,10347,10348,10349,10413,10431,2,8,9,4765,4766,4784,4826,4828,4829,4852,4858,4859,4869,4914,4916,4964,5094,5095,5112,5136,5193,5194,5200,5201,5203,5205,5214,5217,5218,5226,5239,5240,5246,5267,5268,5286,5291,5292,5293,5294,5299,5307,5310,5317,5372,5377,5378,5383,5390,5421,5431,5436,5452,5469,5470,5477,5478,5479,5490,5508,5510,5511,5518,5525,5526,5538,5539,5540,5541,5544,5545,5549,5550,5551,5552,5582,5583,5584,5592,5593,5594,5595,5638,5643,5645,5681,5683,5684,5686,5687,5689,5690,5692,5701,5706,5707,5708,5710,5712,5713,5714,5715,5716,5717,5726,5727,5737,5740,5751,5767,5768,5771,5781,5783,5784,5785,5812,5822,5837,5838,5847,5848,5850,5852,5857,5892,5897,5899,5958,5993,5994,6008,6014,6017,6018,6019,6020,6039,6043,6044,6053,6075,6104,6123,6127,6128,6130,6153,6157,6160,6161,6162,6177,6187,6188,6220,6221,6225,6247,6250,6253,6275,6276,6304,6307,6316,6326,6335,6339,6347,6348,6349,6350,6381,6382,6399,6452,6489,6491,6513,6514,6521,6525,6526,6530,6544,6560,6581,6582,6587,6598,6613,6633,6639,6641,6656,6657,6660,6661,6663,6665,6666,6667,6669,6671,6675,6681,6682,6684,6685,6691,6693,6735,6740,6755,6758,6759,6760,6794,6799,6801,6806,6807,6815,6819,6833,6856,6857,6859,6860,6871,6877,6896,6899,6918,6950,6951,6952,6958,6972,6991,6993,6995,6997,7002,7008,7010,7024,7029,7030,7065,7066,7067,7081,7082,7084,7085,7104,7106,7121,7149,7171,7182,7184,7186,7188,7189,7222,7223,7227,7228,7235,7236,7238,7240,7262,7271,7272,7283,7293,7333,7343,7347,7354,7365,7370,7372,7379,7387,7388,7401,7418,7439,7441,7460,7512,7513,7514,7516,7518,7522,7523,7528,7591,7620,7635,7651,7682,7686,7708,7730,7748,7751,7752,7762,7782,7784,7786,7788,7789,7790,7815,7841,7842,7873,7875,7876,7877,7882,7903,7920,7925,7931,7933,7941,7953,7954,7956,7977,7984,8005,8071,8072,8073,8120,8126,8127,8150,8151,8168,8169,8170,8227,8228,8257,8286,8295,8306,8319,8348,8352,8358,8370,8388,8393,8415,8460,8489,8503,8523,8526,8552,8577,8634,8635,8638,8639,8707,8741,8742,8743,8744,8771,8803,8832,8840,8841,8882,8903,8948,8964,9010,9013,9028,9035,9077,9116,9117,9135,9136,9150,9267,9272,9276,9296,9307,9330,9332,9335,9341,9343,9344,9355,9356,9375,9381,9392,9400,9444,9462,9517,9518,9524,9563,9586,9591,9631,9645,9649,9650,9654,9655,9668,9692,9707,9716,9717,9719,9721,9750,9870,9871,9920,9921,9960,9996,10108,10164,10226,10320,10338,10343,3,2845,2846,2847,2848,2850,2851,2852,2856,2857,2858,2870,2874,2879,2880,2881,2882,2883,2884,2885,2891,2892,2894,2895,2896,2897,2898,2899,2901,2902,2903,2908,2912,2915,2916,2917,2918,2919,2929,2930,2931,2942,2959,2960,2964,2965,2967,2968,2972,2973,2974,2977,2978,2980,2985,2986,2990,2991,2992,2999,3001,3003,3004,3005,3006,3011,3032,3034,3036,3039,3040,3041,3046,3047,3066,3067,3068,3071,3073,3074,3079,3081,5468,5507,5654,5655,5656,5738,5836,5866,5900,5916,5918,5924,5986,5987,5988,5989,6006,6041,6172,6209,6219,6244,6279,6317,6468,6473,6511,6512,6535,6537,6539,6546,6547,6548,6549,6550,6551,6552,6553,6634,6705,6706,6793,6828,6829,6868,6869,7009,7023,7094,7095,7101,7122,7155,7157,7196,7204,7225,7226,7244,7245,7282,7327,7328,7425,7493,7494,7495,7496,7511,7544,7596,7597,7606,7611,7612,7623,7654,7655,7656,7657,7797,7799,7800,7801,7807,7808,8013,8019,8020,8030,8068,8069,8146,8186,8240,8262,8263,8334,8428,8499,8500,8504,8538,8598,8599,8666,8683,8684,8685,8686,8836])).
% 178.61/178.34 cnf(13295,plain,
% 178.61/178.34 (P106(f326(f326(f328(x132951),f326(x132952,x132953)),f326(f309(x132954,x132951,x132952),f241(f922(x132954,a910)))))),
% 178.61/178.34 inference(rename_variables,[],[4106])).
% 178.61/178.34 cnf(13296,plain,
% 178.61/178.34 (P24(x132961,x132961,f7(x132961),x132962)),
% 178.61/178.34 inference(rename_variables,[],[3740])).
% 178.61/178.34 cnf(13301,plain,
% 178.61/178.34 (P106(f326(f326(f234(f922(x133011,a910)),x133012),f241(f922(x133011,a910))))),
% 178.61/178.34 inference(rename_variables,[],[3884])).
% 178.61/178.34 cnf(13302,plain,
% 178.61/178.34 (P24(x133021,x133021,f7(x133021),x133022)),
% 178.61/178.34 inference(rename_variables,[],[3740])).
% 178.61/178.34 cnf(13306,plain,
% 178.61/178.34 (P106(f326(f326(f234(f922(x133061,a910)),x133062),f241(f922(x133061,a910))))),
% 178.61/178.34 inference(rename_variables,[],[3884])).
% 178.61/178.34 cnf(13307,plain,
% 178.61/178.34 (P24(x133071,x133071,f7(x133071),x133072)),
% 178.61/178.34 inference(rename_variables,[],[3740])).
% 178.61/178.34 cnf(13311,plain,
% 178.61/178.34 (P24(x133111,x133111,f7(x133111),x133112)),
% 178.61/178.34 inference(rename_variables,[],[3740])).
% 178.61/178.34 cnf(13314,plain,
% 178.61/178.34 (~P106(f326(f326(f235(f922(x133141,a910)),x133142),f188(f922(x133141,a910))))),
% 178.61/178.34 inference(rename_variables,[],[4732])).
% 178.61/178.34 cnf(13317,plain,
% 178.61/178.34 (P24(x133171,x133171,f7(x133171),x133172)),
% 178.61/178.34 inference(rename_variables,[],[3740])).
% 178.61/178.34 cnf(13320,plain,
% 178.61/178.34 (P24(x133201,x133201,f7(x133201),x133202)),
% 178.61/178.34 inference(rename_variables,[],[3740])).
% 178.61/178.34 cnf(13326,plain,
% 178.61/178.34 (P106(f326(f326(f234(f922(x133261,a910)),x133262),f241(f922(x133261,a910))))),
% 178.61/178.34 inference(rename_variables,[],[3884])).
% 178.61/178.34 cnf(13331,plain,
% 178.61/178.34 (P106(f326(f326(f234(f922(x133311,a910)),f188(f922(x133311,a910))),x133312))),
% 178.61/178.34 inference(rename_variables,[],[3951])).
% 178.61/178.34 cnf(13335,plain,
% 178.61/178.34 (E(f326(f283(x133351,x133351),f262(x133351,x133352)),x133352)),
% 178.61/178.34 inference(rename_variables,[],[3464])).
% 178.61/178.34 cnf(13339,plain,
% 178.61/178.34 (~P106(f326(f326(f328(x133391),x133392),f188(f922(x133391,a910))))),
% 178.61/178.34 inference(rename_variables,[],[4724])).
% 178.61/178.34 cnf(13344,plain,
% 178.61/178.34 (P24(x133441,x133441,f7(x133441),x133442)),
% 178.61/178.34 inference(rename_variables,[],[3740])).
% 178.61/178.34 cnf(13347,plain,
% 178.61/178.34 (P106(f326(f326(f234(f922(x133471,a910)),x133472),f241(f922(x133471,a910))))),
% 178.61/178.34 inference(rename_variables,[],[3884])).
% 178.61/178.34 cnf(13355,plain,
% 178.61/178.34 (E(f326(f326(f18(x133551,x133552),x133553),x133554),x133553)),
% 178.61/178.34 inference(rename_variables,[],[3494])).
% 178.61/178.34 cnf(13358,plain,
% 178.61/178.34 (~P106(f326(f326(f328(x133581),x133582),f188(f922(x133581,a910))))),
% 178.61/178.34 inference(rename_variables,[],[4724])).
% 178.61/178.34 cnf(13361,plain,
% 178.61/178.34 (~P106(f326(f326(f328(x133611),x133612),f188(f922(x133611,a910))))),
% 178.61/178.34 inference(rename_variables,[],[4724])).
% 178.61/178.34 cnf(13368,plain,
% 178.61/178.34 (P106(f326(f326(f235(a914),x133681),f326(a112,x133681)))),
% 178.61/178.34 inference(rename_variables,[],[3571])).
% 178.61/178.34 cnf(13369,plain,
% 178.61/178.34 (~E(f326(a112,x133691),x133691)),
% 178.61/178.34 inference(rename_variables,[],[4660])).
% 178.61/178.34 cnf(13372,plain,
% 178.61/178.34 (P106(f326(f326(f235(a914),x133721),f326(a112,f326(f326(f79(a914),x133722),x133721))))),
% 178.61/178.34 inference(rename_variables,[],[3952])).
% 178.61/178.34 cnf(13373,plain,
% 178.61/178.34 (P106(f326(f326(f235(a914),x133731),f326(a112,x133731)))),
% 178.61/178.34 inference(rename_variables,[],[3571])).
% 178.61/178.34 cnf(13382,plain,
% 178.61/178.34 (P106(f326(f326(f234(a1),f2(a1)),f326(f100(a1),x133821)))),
% 178.61/178.34 inference(rename_variables,[],[3603])).
% 178.61/178.34 cnf(13385,plain,
% 178.61/178.34 (P106(f326(f326(f234(a914),f2(a914)),x133851))),
% 178.61/178.34 inference(rename_variables,[],[3524])).
% 178.61/178.34 cnf(13389,plain,
% 178.61/178.34 (~E(f326(a112,x133891),f2(a914))),
% 178.61/178.34 inference(rename_variables,[],[4670])).
% 178.61/178.34 cnf(13392,plain,
% 178.61/178.34 (P106(f326(f326(f234(a1),x133921),x133921))),
% 178.61/178.34 inference(rename_variables,[],[3504])).
% 178.61/178.34 cnf(13398,plain,
% 178.61/178.34 (~P106(f326(f326(f328(x133981),x133982),f188(f922(x133981,a910))))),
% 178.61/178.34 inference(rename_variables,[],[4724])).
% 178.61/178.34 cnf(13401,plain,
% 178.61/178.34 (P106(f326(f61(a914),f304(a914,x134011,x134012)))),
% 178.61/178.34 inference(rename_variables,[],[3711])).
% 178.61/178.34 cnf(13402,plain,
% 178.61/178.34 (E(f326(f326(f232(a914),f326(a112,x134021)),f326(a112,x134022)),f326(a112,f326(f326(f232(a914),x134021),x134022)))),
% 178.61/178.34 inference(rename_variables,[],[3674])).
% 178.61/178.34 cnf(13405,plain,
% 178.61/178.34 (P106(f326(f61(a914),f304(a914,x134051,x134052)))),
% 178.61/178.34 inference(rename_variables,[],[3711])).
% 178.61/178.34 cnf(13406,plain,
% 178.61/178.34 (E(f326(f326(f233(a914),f326(a112,x134061)),f326(a112,x134062)),f326(a112,f326(f326(f233(a914),x134061),x134062)))),
% 178.61/178.34 inference(rename_variables,[],[3675])).
% 178.61/178.34 cnf(13409,plain,
% 178.61/178.34 (P106(f326(f61(a914),f304(a914,x134091,x134092)))),
% 178.61/178.34 inference(rename_variables,[],[3711])).
% 178.61/178.34 cnf(13418,plain,
% 178.61/178.34 (~P106(f326(f326(f328(x134181),x134182),f188(f922(x134181,a910))))),
% 178.61/178.34 inference(rename_variables,[],[4724])).
% 178.61/178.34 cnf(13419,plain,
% 178.61/178.34 (E(f326(f326(f18(x134191,x134192),x134193),x134194),x134193)),
% 178.61/178.34 inference(rename_variables,[],[3494])).
% 178.61/178.34 cnf(13422,plain,
% 178.61/178.34 (P106(f326(f326(f234(f922(x134221,a910)),f326(f172(x134221),f326(f136(x134221,x134222),x134223))),f326(f172(x134221),x134223)))),
% 178.61/178.34 inference(rename_variables,[],[4149])).
% 178.61/178.34 cnf(13423,plain,
% 178.61/178.34 (E(f326(f326(f18(x134231,x134232),x134233),x134234),x134233)),
% 178.61/178.34 inference(rename_variables,[],[3494])).
% 178.61/178.34 cnf(13426,plain,
% 178.61/178.34 (P106(f326(f326(f234(f922(x134261,a910)),f326(f172(x134261),f326(f326(f175(x134261),x134262),x134263))),f326(f172(x134261),x134263)))),
% 178.61/178.34 inference(rename_variables,[],[4193])).
% 178.61/178.34 cnf(13427,plain,
% 178.61/178.34 (E(f326(f326(f18(x134271,x134272),x134273),x134274),x134273)),
% 178.61/178.34 inference(rename_variables,[],[3494])).
% 178.61/178.34 cnf(13431,plain,
% 178.61/178.34 (E(f326(f326(f18(x134311,x134312),x134313),x134314),x134313)),
% 178.61/178.34 inference(rename_variables,[],[3494])).
% 178.61/178.34 cnf(13444,plain,
% 178.61/178.34 (P106(f326(f326(f234(a1),f2(a1)),f326(f100(a1),x134441)))),
% 178.61/178.34 inference(rename_variables,[],[3603])).
% 178.61/178.34 cnf(13449,plain,
% 178.61/178.34 (P24(x134491,x134491,f7(x134491),x134492)),
% 178.61/178.34 inference(rename_variables,[],[3740])).
% 178.61/178.34 cnf(13452,plain,
% 178.61/178.34 (~P106(f326(f326(f328(x134521),x134522),f188(f922(x134521,a910))))),
% 178.61/178.34 inference(rename_variables,[],[4724])).
% 178.61/178.34 cnf(13453,plain,
% 178.61/178.34 (E(f326(f283(x134531,x134531),f262(x134531,x134532)),x134532)),
% 178.61/178.34 inference(rename_variables,[],[3464])).
% 178.61/178.34 cnf(13454,plain,
% 178.61/178.34 (P24(x134541,x134541,f7(x134541),x134542)),
% 178.61/178.34 inference(rename_variables,[],[3740])).
% 178.61/178.34 cnf(13458,plain,
% 178.61/178.34 (E(f326(f283(x134581,x134581),f262(x134581,x134582)),x134582)),
% 178.61/178.34 inference(rename_variables,[],[3464])).
% 178.61/178.34 cnf(13472,plain,
% 178.61/178.34 (P106(f326(f326(f234(a914),f2(a914)),x134721))),
% 178.61/178.34 inference(rename_variables,[],[3524])).
% 178.61/178.34 cnf(13473,plain,
% 178.61/178.34 (P106(f326(f326(f235(a914),f2(a914)),f326(a112,x134731)))),
% 178.61/178.34 inference(rename_variables,[],[3583])).
% 178.61/178.34 cnf(13474,plain,
% 178.61/178.34 (E(f326(f283(x134741,x134741),f262(x134741,x134742)),x134742)),
% 178.61/178.34 inference(rename_variables,[],[3464])).
% 178.61/178.34 cnf(13493,plain,
% 178.61/178.34 (E(f326(f326(f79(a914),f2(a914)),f819(f326(a112,f2(a914)),f2(a914))),f2(a914))),
% 178.61/178.34 inference(scs_inference,[],[4739,4164,12730,12752,12892,12894,12896,3740,11366,12406,12503,12506,12598,12640,12644,12652,12724,12864,12866,13296,13302,13307,13311,13317,13320,13344,13449,13454,3749,12470,12967,12969,3758,3473,12928,12930,12932,3474,12961,3440,12806,4689,4690,11997,4440,12951,3477,12947,3316,3373,12849,3374,12906,3375,3376,3377,12680,12923,4688,3801,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,11906,12193,12218,12230,12259,12265,12357,12466,12633,12694,12837,13369,3559,3522,12942,3708,12165,3424,4670,10682,10782,11246,11346,13389,3116,3117,3119,3120,3123,3124,3126,3127,3128,3134,3135,3139,3140,3141,3144,3145,3146,3150,3151,3155,3156,3158,3161,3170,3174,3176,3178,3181,3182,3183,3190,3191,3200,3210,3215,3221,3222,3225,3233,3236,3245,3247,3250,3254,3255,3257,3258,3265,3266,3276,3286,4657,3298,3372,4658,3839,4069,11937,3350,11646,3485,3461,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,11932,12378,12574,12784,12839,12847,12858,12860,12862,12873,12883,12888,12904,12934,13172,13335,13453,13458,13474,3435,12665,12669,12673,3441,3450,3961,4268,3418,13230,3570,12727,12809,3339,3340,3702,4055,11692,3558,12841,3401,3336,3363,3820,3359,3466,4173,4063,3882,4499,3347,3348,3326,3973,3383,3560,11091,11220,12467,12684,3434,4138,4679,10509,10679,11551,12625,12666,12670,4686,12637,3494,12017,12020,13265,13355,13419,13423,13427,13431,4096,4722,11272,11371,11601,11604,3901,3491,3607,3826,3599,4700,3574,12912,12914,12918,3398,10582,10912,3399,4709,3661,3391,3317,3420,11682,4282,12655,12796,4140,11292,11423,11482,12609,12615,12741,12744,12774,4741,11195,11436,11545,11571,11609,11615,12553,4742,11325,11439,11548,4743,11442,11493,4744,11500,4745,3419,3700,12509,12550,12636,3866,3649,4555,4556,3684,3721,4677,11675,3843,3803,3845,4018,3770,13155,13159,13163,13167,13177,4065,12500,3686,3944,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,12069,12189,12252,12328,12369,12444,12447,12778,13038,13076,13079,13138,13368,13373,3954,11923,3487,3583,11751,12032,13473,3764,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,12084,12089,12304,12307,12390,12556,12659,12984,13003,13006,13030,13080,13246,13251,13272,13277,4728,11794,11825,11860,11867,11903,13089,13093,3941,3709,13258,3711,13009,13012,13015,13018,13048,13051,13401,13405,13409,3712,4088,3674,13402,3675,13406,3530,3532,3506,4712,3397,4674,3892,4204,3693,4729,4275,11568,3825,3543,12038,12041,12474,12578,12755,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,11988,12102,12105,12658,4244,4203,12182,12524,4149,11088,12363,12534,12683,13422,4193,13426,4198,11298,12403,12473,12533,12577,13268,4199,3867,11871,12192,12335,12411,12457,4232,3884,10645,10742,11295,11376,11455,11519,12356,12425,12689,12751,12771,12781,13237,13301,13306,13326,13347,4732,11039,11447,12537,13314,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,12035,12162,12217,12233,12236,12239,12242,12418,12432,12435,12438,12441,12517,12581,12700,12747,13031,13054,13130,13141,13146,13149,13152,13185,13198,13257,13283,13286,3504,10637,10693,10927,11018,11140,11770,12066,12072,12081,12168,12179,12198,12203,12245,12268,12285,13045,13189,13209,13247,13252,13273,13278,13392,3505,3579,12395,13109,13156,13160,13164,13168,13178,13182,4711,10526,10558,11060,11104,11113,11951,11972,12136,12139,12142,12145,12229,12248,12251,12264,12316,12319,12322,12325,12485,12488,12584,12587,12693,12733,12818,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,12000,12632,12821,13229,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,12047,12310,12313,12347,12396,12421,12562,12606,12612,12712,12715,12737,12795,12801,12812,12831,13108,13121,13124,13218,13339,13358,13361,13398,13418,13452,3564,10909,10939,10948,10951,10954,11537,12734,12748,13090,13094,13097,3603,13382,13444,3596,4022,3959,10561,11926,11954,13071,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,12099,12124,12127,12130,12133,12389,13289,3524,10942,11098,11168,11955,12098,12290,12493,12518,13118,13385,13472,3983,12044,13025,4323,3715,4718,3994,4030,4703,4706,4707,3480,3484,4705,4704,4491,3815,11919,4418,11777,4734,10808,10811,4740,11281,11284,11470,11581,11598,11638,4106,11635,11975,11979,12643,12651,12740,13233,13295,3949,11211,11217,11235,12214,12340,12424,12708,3799,11351,11473,12450,12559,12569,12648,12703,12711,12828,13240,4280,3951,10945,11314,11479,11513,11524,12360,12647,12697,13331,3657,3765,10861,10864,10957,11124,3767,4737,11920,4733,12993,4738,10701,10814,12512,12521,12565,12765,12768,4378,11079,12530,12545,12568,4286,3982,12834,3927,3928,4735,10531,10534,10903,10906,11791,11980,12777,4736,11900,11985,3952,10867,11130,13372,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078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39,3040,3041,3046,3047,3066,3067,3068,3071,3073,3074,3079,3081,5468,5507,5654,5655,5656,5738,5836,5866,5900,5916,5918,5924,5986,5987,5988,5989,6006,6041,6172,6209,6219,6244,6279,6317,6468,6473,6511,6512,6535,6537,6539,6546,6547,6548,6549,6550,6551,6552,6553,6634,6705,6706,6793,6828,6829,6868,6869,7009,7023,7094,7095,7101,7122,7155,7157,7196,7204,7225,7226,7244,7245,7282,7327,7328,7425,7493,7494,7495,7496,7511,7544,7596,7597,7606,7611,7612,7623,7654,7655,7656,7657,7797,7799,7800,7801,7807,7808,8013,8019,8020,8030,8068,8069,8146,8186,8240,8262,8263,8334,8428,8499,8500,8504,8538,8598,8599,8666,8683,8684,8685,8686,8836,9094,9095,9164,9178,9231,9232,9352,9385,9412,9446,9487,9690,9813,9955,10133,10189,10191,10354,6618,6619,6708,6728,6729,7146,7363,8484,8757,9004,9189,9190,9258,9259,9441,9535,9536,9537,9538,9753,10019,10033,10399,10400,6690,8590,8591,9060,9078,10020,10398,4799,4831])).
% 178.61/178.34 cnf(13555,plain,
% 178.61/178.34 (P106(f326(f326(f235(a1),f2(a1)),f326(f75(a1),f77(a1))))),
% 178.61/178.34 inference(scs_inference,[],[4739,4164,12730,12752,12892,12894,12896,3740,11366,12406,12503,12506,12598,12640,12644,12652,12724,12864,12866,13296,13302,13307,13311,13317,13320,13344,13449,13454,3749,12470,12967,12969,3758,3473,12928,12930,12932,3474,12961,3440,12806,4689,4690,11997,4440,12951,3477,12947,3316,3373,12849,3374,12906,3375,3376,3377,12680,12923,4688,3801,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,11906,12193,12218,12230,12259,12265,12357,12466,12633,12694,12837,13369,3559,3522,12942,3708,12165,3424,4670,10682,10782,11246,11346,13389,3116,3117,3119,3120,3123,3124,3126,3127,3128,3134,3135,3139,3140,3141,3144,3145,3146,3150,3151,3155,3156,3158,3161,3170,3174,3176,3178,3181,3182,3183,3190,3191,3200,3210,3215,3221,3222,3225,3233,3236,3245,3247,3250,3254,3255,3257,3258,3265,3266,3276,3286,4657,3298,3372,4658,3839,4069,11937,3350,11646,3485,3461,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,11932,12378,12574,12784,12839,12847,12858,12860,12862,12873,12883,12888,12904,12934,13172,13335,13453,13458,13474,3435,12665,12669,12673,3441,3450,3961,4268,3418,13230,3570,12727,12809,3339,3340,3702,4055,11692,3558,12841,3401,3336,3363,3820,3359,3466,4173,4063,3882,4499,3347,3348,3326,3973,3383,3560,11091,11220,12467,12684,3434,4138,4679,10509,10679,11551,12625,12666,12670,4686,12637,3494,12017,12020,13265,13355,13419,13423,13427,13431,4096,4722,11272,11371,11601,11604,3901,3491,3607,3826,3599,4700,3574,12912,12914,12918,3398,10582,10912,3399,4709,3661,3391,3317,3420,11682,4282,12655,12796,4140,11292,11423,11482,12609,12615,12741,12744,12774,4741,11195,11436,11545,11571,11609,11615,12553,4742,11325,11439,11548,4743,11442,11493,4744,11500,4745,3419,3700,12509,12550,12636,3866,3649,4555,4556,3684,3721,4677,11675,3843,3803,3845,4018,3770,13155,13159,13163,13167,13177,4065,12500,3686,3944,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,12069,12189,12252,12328,12369,12444,12447,12778,13038,13076,13079,13138,13368,13373,3954,11923,3487,3583,11751,12032,13473,3764,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,12084,12089,12304,12307,12390,12556,12659,12984,13003,13006,13030,13080,13246,13251,13272,13277,4728,11794,11825,11860,11867,11903,13089,13093,3941,3709,13258,3711,13009,13012,13015,13018,13048,13051,13401,13405,13409,3712,4088,3674,13402,3675,13406,3530,3532,3506,4712,3397,4674,3892,4204,3693,4729,4275,11568,3825,3543,12038,12041,12474,12578,12755,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,11988,12102,12105,12658,4244,4203,12182,12524,4149,11088,12363,12534,12683,13422,4193,13426,4198,11298,12403,12473,12533,12577,13268,4199,3867,11871,12192,12335,12411,12457,4232,3884,10645,10742,11295,11376,11455,11519,12356,12425,12689,12751,12771,12781,13237,13301,13306,13326,13347,4732,11039,11447,12537,13314,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,12035,12162,12217,12233,12236,12239,12242,12418,12432,12435,12438,12441,12517,12581,12700,12747,13031,13054,13130,13141,13146,13149,13152,13185,13198,13257,13283,13286,3504,10637,10693,10927,11018,11140,11770,12066,12072,12081,12168,12179,12198,12203,12245,12268,12285,13045,13189,13209,13247,13252,13273,13278,13392,3505,3579,12395,13109,13156,13160,13164,13168,13178,13182,4711,10526,10558,11060,11104,11113,11951,11972,12136,12139,12142,12145,12229,12248,12251,12264,12316,12319,12322,12325,12485,12488,12584,12587,12693,12733,12818,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,12000,12632,12821,13229,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,12047,12310,12313,12347,12396,12421,12562,12606,12612,12712,12715,12737,12795,12801,12812,12831,13108,13121,13124,13218,13339,13358,13361,13398,13418,13452,3564,10909,10939,10948,10951,10954,11537,12734,12748,13090,13094,13097,3603,13382,13444,3596,4022,3959,10561,11926,11954,13071,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,12099,12124,12127,12130,12133,12389,13289,3524,10942,11098,11168,11955,12098,12290,12493,12518,13118,13385,13472,3983,12044,13025,4323,3715,4718,3994,4030,4703,4706,4707,3480,3484,4705,4704,4491,3815,11919,4418,11777,4734,10808,10811,4740,11281,11284,11470,11581,11598,11638,4106,11635,11975,11979,12643,12651,12740,13233,13295,3949,11211,11217,11235,12214,12340,12424,12708,3799,11351,11473,12450,12559,12569,12648,12703,12711,12828,13240,4280,3951,10945,11314,11479,11513,11524,12360,12647,12697,13331,3657,3765,10861,10864,10957,11124,3767,4737,11920,4733,12993,4738,10701,10814,12512,12521,12565,12765,12768,4378,11079,12530,12545,12568,4286,3982,12834,3927,3928,4735,10531,10534,10903,10906,11791,11980,12777,4736,11900,11985,3952,10867,11130,13372,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505,9532,9594,9599,9602,9639,9640,9641,9669,9670,9687,9708,9714,9726,9751,9772,9781,9782,9783,9784,9799,9801,9806,9836,9837,9843,9844,9888,9889,9900,9901,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10122,10123,10125,10134,10135,10155,10160,10251,10346,10347,10348,10349,10413,10431,2,8,9,4765,4766,4784,4826,4828,4829,4852,4858,4859,4869,4914,4916,4964,5094,5095,5112,5136,5193,5194,5200,5201,5203,5205,5214,5217,5218,5226,5239,5240,5246,5267,5268,5286,5291,5292,5293,5294,5299,5307,5310,5317,5372,5377,5378,5383,5390,5421,5431,5436,5452,5469,5470,5477,5478,5479,5490,5508,5510,5511,5518,5525,5526,5538,5539,5540,5541,5544,5545,5549,5550,5551,5552,5582,5583,5584,5592,5593,5594,5595,5638,5643,5645,5681,5683,5684,5686,5687,5689,5690,5692,5701,5706,5707,5708,5710,5712,5713,5714,5715,5716,5717,5726,5727,5737,5740,5751,5767,5768,5771,5781,5783,5784,5785,5812,5822,5837,5838,5847,5848,5850,5852,5857,5892,5897,5899,5958,5993,5994,6008,6014,6017,6018,6019,6020,6039,6043,6044,6053,6075,6104,6123,6127,6128,6130,6153,6157,6160,6161,6162,6177,6187,6188,6220,6221,6225,6247,6250,6253,6275,6276,6304,6307,6316,6326,6335,6339,6347,6348,6349,6350,6381,6382,6399,6452,6489,6491,6513,6514,6521,6525,6526,6530,6544,6560,6581,6582,6587,6598,6613,6633,6639,6641,6656,6657,6660,6661,6663,6665,6666,6667,6669,6671,6675,6681,6682,6684,6685,6691,6693,6735,6740,6755,6758,6759,6760,6794,6799,6801,6806,6807,6815,6819,6833,6856,6857,6859,6860,6871,6877,6896,6899,6918,6950,6951,6952,6958,6972,6991,6993,6995,6997,7002,7008,7010,7024,7029,7030,7065,7066,7067,7081,7082,7084,7085,7104,7106,7121,7149,7171,7182,7184,7186,7188,7189,7222,7223,7227,7228,7235,7236,7238,7240,7262,7271,7272,7283,7293,7333,7343,7347,7354,7365,7370,7372,7379,7387,7388,7401,7418,7439,7441,7460,7512,7513,7514,7516,7518,7522,7523,7528,7591,7620,7635,7651,7682,7686,7708,7730,7748,7751,7752,7762,7782,7784,7786,7788,7789,7790,7815,7841,7842,7873,7875,7876,7877,7882,7903,7920,7925,7931,7933,7941,7953,7954,7956,7977,7984,8005,8071,8072,8073,8120,8126,8127,8150,8151,8168,8169,8170,8227,8228,8257,8286,8295,8306,8319,8348,8352,8358,8370,8388,8393,8415,8460,8489,8503,8523,8526,8552,8577,8634,8635,8638,8639,8707,8741,8742,8743,8744,8771,8803,8832,8840,8841,8882,8903,8948,8964,9010,9013,9028,9035,9077,9116,9117,9135,9136,9150,9267,9272,9276,9296,9307,9330,9332,9335,9341,9343,9344,9355,9356,9375,9381,9392,9400,9444,9462,9517,9518,9524,9563,9586,9591,9631,9645,9649,9650,9654,9655,9668,9692,9707,9716,9717,9719,9721,9750,9870,9871,9920,9921,9960,9996,10108,10164,10226,10320,10338,10343,3,2845,2846,2847,2848,2850,2851,2852,2856,2857,2858,2870,2874,2879,2880,2881,2882,2883,2884,2885,2891,2892,2894,2895,2896,2897,2898,2899,2901,2902,2903,2908,2912,2915,2916,2917,2918,2919,2929,2930,2931,2942,2959,2960,2964,2965,2967,2968,2972,2973,2974,2977,2978,2980,2985,2986,2990,2991,2992,2999,3001,3003,3004,3005,3006,3011,3032,3034,3036,3039,3040,3041,3046,3047,3066,3067,3068,3071,3073,3074,3079,3081,5468,5507,5654,5655,5656,5738,5836,5866,5900,5916,5918,5924,5986,5987,5988,5989,6006,6041,6172,6209,6219,6244,6279,6317,6468,6473,6511,6512,6535,6537,6539,6546,6547,6548,6549,6550,6551,6552,6553,6634,6705,6706,6793,6828,6829,6868,6869,7009,7023,7094,7095,7101,7122,7155,7157,7196,7204,7225,7226,7244,7245,7282,7327,7328,7425,7493,7494,7495,7496,7511,7544,7596,7597,7606,7611,7612,7623,7654,7655,7656,7657,7797,7799,7800,7801,7807,7808,8013,8019,8020,8030,8068,8069,8146,8186,8240,8262,8263,8334,8428,8499,8500,8504,8538,8598,8599,8666,8683,8684,8685,8686,8836,9094,9095,9164,9178,9231,9232,9352,9385,9412,9446,9487,9690,9813,9955,10133,10189,10191,10354,6618,6619,6708,6728,6729,7146,7363,8484,8757,9004,9189,9190,9258,9259,9441,9535,9536,9537,9538,9753,10019,10033,10399,10400,6690,8590,8591,9060,9078,10020,10398,4799,4831,4832,4835,4881,4885,4890,4931,5028,5045,5075,5076,5107,5170,5173,5233,5366,5406,5407,5409,5416,5417,5441,5484,5515,5537,5670,5743,5744,5745,5805,5862,5863])).
% 178.61/178.34 cnf(13585,plain,
% 178.61/178.34 (~P106(f326(f326(f235(a914),f2(a914)),f188(a914)))),
% 178.61/178.34 inference(scs_inference,[],[4739,4164,12730,12752,12892,12894,12896,3740,11366,12406,12503,12506,12598,12640,12644,12652,12724,12864,12866,13296,13302,13307,13311,13317,13320,13344,13449,13454,3749,12470,12967,12969,3758,3473,12928,12930,12932,3474,12961,3440,12806,4689,4690,11997,4440,12951,3477,12947,3316,3373,12849,3374,12906,3375,3376,3377,12680,12923,4688,3801,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,11906,12193,12218,12230,12259,12265,12357,12466,12633,12694,12837,13369,3559,3522,12942,3708,12165,3424,4670,10682,10782,11246,11346,13389,3116,3117,3119,3120,3123,3124,3126,3127,3128,3134,3135,3139,3140,3141,3144,3145,3146,3150,3151,3155,3156,3158,3161,3170,3174,3176,3178,3181,3182,3183,3190,3191,3200,3210,3215,3221,3222,3225,3233,3236,3245,3247,3250,3254,3255,3257,3258,3265,3266,3276,3286,4657,3298,3372,4658,3839,4069,11937,3350,11646,3485,3461,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,11932,12378,12574,12784,12839,12847,12858,12860,12862,12873,12883,12888,12904,12934,13172,13335,13453,13458,13474,3435,12665,12669,12673,3441,3450,3961,4268,3418,13230,3570,12727,12809,3339,3340,3702,4055,11692,3558,12841,3401,3336,3363,3820,3359,3466,4173,4063,3882,4499,3347,3348,3326,3973,3383,3560,11091,11220,12467,12684,3434,4138,4679,10509,10679,11551,12625,12666,12670,4686,12637,3494,12017,12020,13265,13355,13419,13423,13427,13431,4096,4722,11272,11371,11601,11604,3901,3491,3607,3826,3599,4700,3574,12912,12914,12918,3398,10582,10912,3399,4709,3661,3391,3317,3420,11682,4282,12655,12796,4140,11292,11423,11482,12609,12615,12741,12744,12774,4741,11195,11436,11545,11571,11609,11615,12553,4742,11325,11439,11548,4743,11442,11493,4744,11500,4745,3419,3700,12509,12550,12636,3866,3649,4555,4556,3684,3721,4677,11675,3843,3803,3845,4018,3770,13155,13159,13163,13167,13177,4065,12500,3686,3944,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,12069,12189,12252,12328,12369,12444,12447,12778,13038,13076,13079,13138,13368,13373,3954,11923,3487,3583,11751,12032,13473,3764,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,12084,12089,12304,12307,12390,12556,12659,12984,13003,13006,13030,13080,13246,13251,13272,13277,4728,11794,11825,11860,11867,11903,13089,13093,3941,3709,13258,3711,13009,13012,13015,13018,13048,13051,13401,13405,13409,3712,4088,3674,13402,3675,13406,3530,3532,3506,4712,3397,4674,3892,4204,3693,4729,4275,11568,3825,3543,12038,12041,12474,12578,12755,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,11988,12102,12105,12658,4244,4203,12182,12524,4149,11088,12363,12534,12683,13422,4193,13426,4198,11298,12403,12473,12533,12577,13268,4199,3867,11871,12192,12335,12411,12457,4232,3884,10645,10742,11295,11376,11455,11519,12356,12425,12689,12751,12771,12781,13237,13301,13306,13326,13347,4732,11039,11447,12537,13314,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,12035,12162,12217,12233,12236,12239,12242,12418,12432,12435,12438,12441,12517,12581,12700,12747,13031,13054,13130,13141,13146,13149,13152,13185,13198,13257,13283,13286,3504,10637,10693,10927,11018,11140,11770,12066,12072,12081,12168,12179,12198,12203,12245,12268,12285,13045,13189,13209,13247,13252,13273,13278,13392,3505,3579,12395,13109,13156,13160,13164,13168,13178,13182,4711,10526,10558,11060,11104,11113,11951,11972,12136,12139,12142,12145,12229,12248,12251,12264,12316,12319,12322,12325,12485,12488,12584,12587,12693,12733,12818,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,12000,12632,12821,13229,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,12047,12310,12313,12347,12396,12421,12562,12606,12612,12712,12715,12737,12795,12801,12812,12831,13108,13121,13124,13218,13339,13358,13361,13398,13418,13452,3564,10909,10939,10948,10951,10954,11537,12734,12748,13090,13094,13097,3603,13382,13444,3596,4022,3959,10561,11926,11954,13071,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,12099,12124,12127,12130,12133,12389,13289,3524,10942,11098,11168,11955,12098,12290,12493,12518,13118,13385,13472,3983,12044,13025,4323,3715,4718,3994,4030,4703,4706,4707,3480,3484,4705,4704,4491,3815,11919,4418,11777,4734,10808,10811,4740,11281,11284,11470,11581,11598,11638,4106,11635,11975,11979,12643,12651,12740,13233,13295,3949,11211,11217,11235,12214,12340,12424,12708,3799,11351,11473,12450,12559,12569,12648,12703,12711,12828,13240,4280,3951,10945,11314,11479,11513,11524,12360,12647,12697,13331,3657,3765,10861,10864,10957,11124,3767,4737,11920,4733,12993,4738,10701,10814,12512,12521,12565,12765,12768,4378,11079,12530,12545,12568,4286,3982,12834,3927,3928,4735,10531,10534,10903,10906,11791,11980,12777,4736,11900,11985,3952,10867,11130,13372,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505,9532,9594,9599,9602,9639,9640,9641,9669,9670,9687,9708,9714,9726,9751,9772,9781,9782,9783,9784,9799,9801,9806,9836,9837,9843,9844,9888,9889,9900,9901,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10122,10123,10125,10134,10135,10155,10160,10251,10346,10347,10348,10349,10413,10431,2,8,9,4765,4766,4784,4826,4828,4829,4852,4858,4859,4869,4914,4916,4964,5094,5095,5112,5136,5193,5194,5200,5201,5203,5205,5214,5217,5218,5226,5239,5240,5246,5267,5268,5286,5291,5292,5293,5294,5299,5307,5310,5317,5372,5377,5378,5383,5390,5421,5431,5436,5452,5469,5470,5477,5478,5479,5490,5508,5510,5511,5518,5525,5526,5538,5539,5540,5541,5544,5545,5549,5550,5551,5552,5582,5583,5584,5592,5593,5594,5595,5638,5643,5645,5681,5683,5684,5686,5687,5689,5690,5692,5701,5706,5707,5708,5710,5712,5713,5714,5715,5716,5717,5726,5727,5737,5740,5751,5767,5768,5771,5781,5783,5784,5785,5812,5822,5837,5838,5847,5848,5850,5852,5857,5892,5897,5899,5958,5993,5994,6008,6014,6017,6018,6019,6020,6039,6043,6044,6053,6075,6104,6123,6127,6128,6130,6153,6157,6160,6161,6162,6177,6187,6188,6220,6221,6225,6247,6250,6253,6275,6276,6304,6307,6316,6326,6335,6339,6347,6348,6349,6350,6381,6382,6399,6452,6489,6491,6513,6514,6521,6525,6526,6530,6544,6560,6581,6582,6587,6598,6613,6633,6639,6641,6656,6657,6660,6661,6663,6665,6666,6667,6669,6671,6675,6681,6682,6684,6685,6691,6693,6735,6740,6755,6758,6759,6760,6794,6799,6801,6806,6807,6815,6819,6833,6856,6857,6859,6860,6871,6877,6896,6899,6918,6950,6951,6952,6958,6972,6991,6993,6995,6997,7002,7008,7010,7024,7029,7030,7065,7066,7067,7081,7082,7084,7085,7104,7106,7121,7149,7171,7182,7184,7186,7188,7189,7222,7223,7227,7228,7235,7236,7238,7240,7262,7271,7272,7283,7293,7333,7343,7347,7354,7365,7370,7372,7379,7387,7388,7401,7418,7439,7441,7460,7512,7513,7514,7516,7518,7522,7523,7528,7591,7620,7635,7651,7682,7686,7708,7730,7748,7751,7752,7762,7782,7784,7786,7788,7789,7790,7815,7841,7842,7873,7875,7876,7877,7882,7903,7920,7925,7931,7933,7941,7953,7954,7956,7977,7984,8005,8071,8072,8073,8120,8126,8127,8150,8151,8168,8169,8170,8227,8228,8257,8286,8295,8306,8319,8348,8352,8358,8370,8388,8393,8415,8460,8489,8503,8523,8526,8552,8577,8634,8635,8638,8639,8707,8741,8742,8743,8744,8771,8803,8832,8840,8841,8882,8903,8948,8964,9010,9013,9028,9035,9077,9116,9117,9135,9136,9150,9267,9272,9276,9296,9307,9330,9332,9335,9341,9343,9344,9355,9356,9375,9381,9392,9400,9444,9462,9517,9518,9524,9563,9586,9591,9631,9645,9649,9650,9654,9655,9668,9692,9707,9716,9717,9719,9721,9750,9870,9871,9920,9921,9960,9996,10108,10164,10226,10320,10338,10343,3,2845,2846,2847,2848,2850,2851,2852,2856,2857,2858,2870,2874,2879,2880,2881,2882,2883,2884,2885,2891,2892,2894,2895,2896,2897,2898,2899,2901,2902,2903,2908,2912,2915,2916,2917,2918,2919,2929,2930,2931,2942,2959,2960,2964,2965,2967,2968,2972,2973,2974,2977,2978,2980,2985,2986,2990,2991,2992,2999,3001,3003,3004,3005,3006,3011,3032,3034,3036,3039,3040,3041,3046,3047,3066,3067,3068,3071,3073,3074,3079,3081,5468,5507,5654,5655,5656,5738,5836,5866,5900,5916,5918,5924,5986,5987,5988,5989,6006,6041,6172,6209,6219,6244,6279,6317,6468,6473,6511,6512,6535,6537,6539,6546,6547,6548,6549,6550,6551,6552,6553,6634,6705,6706,6793,6828,6829,6868,6869,7009,7023,7094,7095,7101,7122,7155,7157,7196,7204,7225,7226,7244,7245,7282,7327,7328,7425,7493,7494,7495,7496,7511,7544,7596,7597,7606,7611,7612,7623,7654,7655,7656,7657,7797,7799,7800,7801,7807,7808,8013,8019,8020,8030,8068,8069,8146,8186,8240,8262,8263,8334,8428,8499,8500,8504,8538,8598,8599,8666,8683,8684,8685,8686,8836,9094,9095,9164,9178,9231,9232,9352,9385,9412,9446,9487,9690,9813,9955,10133,10189,10191,10354,6618,6619,6708,6728,6729,7146,7363,8484,8757,9004,9189,9190,9258,9259,9441,9535,9536,9537,9538,9753,10019,10033,10399,10400,6690,8590,8591,9060,9078,10020,10398,4799,4831,4832,4835,4881,4885,4890,4931,5028,5045,5075,5076,5107,5170,5173,5233,5366,5406,5407,5409,5416,5417,5441,5484,5515,5537,5670,5743,5744,5745,5805,5862,5863,5889,5893,5952,5954,5963,5969,6057,6137,6286,6343,6455,6580,6738,6945,7199])).
% 178.61/178.34 cnf(13603,plain,
% 178.61/178.34 (~P24(x136031,x136032,f326(f72(x136033,x136032,x136031,f192(x136034,x136035)),f326(f151(x136036),x136037)),f241(f922(x136031,a910)))),
% 178.61/178.34 inference(scs_inference,[],[4739,4164,12730,12752,12892,12894,12896,3740,11366,12406,12503,12506,12598,12640,12644,12652,12724,12864,12866,13296,13302,13307,13311,13317,13320,13344,13449,13454,3749,12470,12967,12969,3758,3473,12928,12930,12932,3474,12961,3440,12806,4689,4690,11997,4440,12951,3477,12947,3316,3373,12849,3374,12906,3375,3376,3377,12680,12923,4688,3801,4660,10449,10459,10472,10483,10555,10590,10593,10596,10698,10833,11143,11336,11339,11358,11361,11554,11649,11656,11670,11716,11719,11752,11767,11830,11887,11906,12193,12218,12230,12259,12265,12357,12466,12633,12694,12837,13369,3559,3522,12942,3708,12165,3424,4670,10682,10782,11246,11346,13389,3116,3117,3119,3120,3123,3124,3126,3127,3128,3134,3135,3139,3140,3141,3144,3145,3146,3150,3151,3155,3156,3158,3161,3170,3174,3176,3178,3181,3182,3183,3190,3191,3200,3210,3215,3221,3222,3225,3233,3236,3245,3247,3250,3254,3255,3257,3258,3265,3266,3276,3286,4657,3298,3372,4658,3839,4069,11937,3350,11646,3485,3461,3464,10518,10521,10617,10620,10936,11661,11664,11778,11817,11822,11890,11932,12378,12574,12784,12839,12847,12858,12860,12862,12873,12883,12888,12904,12934,13172,13335,13453,13458,13474,3435,12665,12669,12673,3441,3450,3961,4268,3418,13230,3570,12727,12809,3339,3340,3702,4055,11692,3558,12841,3401,3336,3363,3820,3359,3466,4173,4063,3882,4499,3347,3348,3326,3973,3383,3560,11091,11220,12467,12684,3434,4138,4679,10509,10679,11551,12625,12666,12670,4686,12637,3494,12017,12020,13265,13355,13419,13423,13427,13431,4096,4722,11272,11371,11601,11604,3901,3491,3607,3826,3599,4700,3574,12912,12914,12918,3398,10582,10912,3399,4709,3661,3391,3317,3420,11682,4282,12655,12796,4140,11292,11423,11482,12609,12615,12741,12744,12774,4741,11195,11436,11545,11571,11609,11615,12553,4742,11325,11439,11548,4743,11442,11493,4744,11500,4745,3419,3700,12509,12550,12636,3866,3649,4555,4556,3684,3721,4677,11675,3843,3803,3845,4018,3770,13155,13159,13163,13167,13177,4065,12500,3686,3944,3571,10601,10721,10799,10872,10875,10915,11015,11262,11864,12069,12189,12252,12328,12369,12444,12447,12778,13038,13076,13079,13138,13368,13373,3954,11923,3487,3583,11751,12032,13473,3764,4715,10486,10489,10515,10642,10817,11023,11036,11153,11593,11685,11863,12084,12089,12304,12307,12390,12556,12659,12984,13003,13006,13030,13080,13246,13251,13272,13277,4728,11794,11825,11860,11867,11903,13089,13093,3941,3709,13258,3711,13009,13012,13015,13018,13048,13051,13401,13405,13409,3712,4088,3674,13402,3675,13406,3530,3532,3506,4712,3397,4674,3892,4204,3693,4729,4275,11568,3825,3543,12038,12041,12474,12578,12755,4720,10477,10480,10650,10745,10764,10771,10794,10802,10805,10822,11008,11249,11462,11745,11839,11988,12102,12105,12658,4244,4203,12182,12524,4149,11088,12363,12534,12683,13422,4193,13426,4198,11298,12403,12473,12533,12577,13268,4199,3867,11871,12192,12335,12411,12457,4232,3884,10645,10742,11295,11376,11455,11519,12356,12425,12689,12751,12771,12781,13237,13301,13306,13326,13347,4732,11039,11447,12537,13314,3503,10610,10708,10858,10922,10997,11042,11045,11076,11101,11137,11175,11214,11991,12035,12162,12217,12233,12236,12239,12242,12418,12432,12435,12438,12441,12517,12581,12700,12747,13031,13054,13130,13141,13146,13149,13152,13185,13198,13257,13283,13286,3504,10637,10693,10927,11018,11140,11770,12066,12072,12081,12168,12179,12198,12203,12245,12268,12285,13045,13189,13209,13247,13252,13273,13278,13392,3505,3579,12395,13109,13156,13160,13164,13168,13178,13182,4711,10526,10558,11060,11104,11113,11951,11972,12136,12139,12142,12145,12229,12248,12251,12264,12316,12319,12322,12325,12485,12488,12584,12587,12693,12733,12818,3656,10787,10878,11148,11192,11426,11429,11508,11590,11755,12000,12632,12821,13229,4724,11069,11184,11205,11208,11275,11278,11289,11392,11400,11414,11450,11467,11476,11516,11557,11562,11565,11584,11587,11618,11623,11626,11629,11632,11870,12014,12047,12310,12313,12347,12396,12421,12562,12606,12612,12712,12715,12737,12795,12801,12812,12831,13108,13121,13124,13218,13339,13358,13361,13398,13418,13452,3564,10909,10939,10948,10951,10954,11537,12734,12748,13090,13094,13097,3603,13382,13444,3596,4022,3959,10561,11926,11954,13071,4721,10506,10897,10900,11395,11411,11886,11942,11976,12001,12099,12124,12127,12130,12133,12389,13289,3524,10942,11098,11168,11955,12098,12290,12493,12518,13118,13385,13472,3983,12044,13025,4323,3715,4718,3994,4030,4703,4706,4707,3480,3484,4705,4704,4491,3815,11919,4418,11777,4734,10808,10811,4740,11281,11284,11470,11581,11598,11638,4106,11635,11975,11979,12643,12651,12740,13233,13295,3949,11211,11217,11235,12214,12340,12424,12708,3799,11351,11473,12450,12559,12569,12648,12703,12711,12828,13240,4280,3951,10945,11314,11479,11513,11524,12360,12647,12697,13331,3657,3765,10861,10864,10957,11124,3767,4737,11920,4733,12993,4738,10701,10814,12512,12521,12565,12765,12768,4378,11079,12530,12545,12568,4286,3982,12834,3927,3928,4735,10531,10534,10903,10906,11791,11980,12777,4736,11900,11985,3952,10867,11130,13372,4218,4752,4778,4833,4837,4865,4880,4887,4889,4925,4930,4959,4965,5051,5077,5078,5093,5147,5148,5171,5172,5186,5190,5215,5221,5237,5241,5242,5243,5248,5249,5272,5298,5300,5301,5311,5316,5322,5358,5359,5367,5375,5379,5381,5384,5396,5399,5405,5410,5411,5424,5430,5433,5434,5438,5471,5485,5494,5496,5497,5500,5501,5502,5512,5514,5520,5521,5522,5528,5532,5533,5534,5542,5547,5548,5553,5566,5574,5586,5588,5596,5598,5599,5602,5606,5632,5646,5647,5662,5674,5696,5702,5724,5725,5729,5748,5756,5757,5762,5763,5773,5775,5787,5791,5800,5801,5803,5804,5820,5825,5834,5835,5846,5853,5867,5871,5874,5880,5881,5882,5885,5890,5926,5927,5930,5932,5934,5936,5937,5938,5940,5942,5944,5949,5956,5971,5985,5991,5992,6004,6015,6016,6023,6027,6029,6034,6042,6078,6091,6100,6103,6112,6116,6117,6118,6119,6120,6124,6129,6139,6145,6163,6166,6175,6203,6218,6245,6262,6263,6266,6281,6283,6285,6287,6302,6303,6306,6308,6311,6312,6328,6336,6337,6338,6340,6342,6378,6379,6385,6388,6394,6398,6432,6434,6436,6438,6448,6450,6453,6459,6461,6466,6469,6477,6485,6487,6488,6494,6516,6517,6518,6519,6520,6522,6529,6534,6568,6569,6572,6573,6574,6576,6577,6578,6579,6586,6620,6621,6630,6651,6652,6674,6676,6688,6689,6695,6725,6727,6741,6780,6783,6784,6838,6861,6904,6925,6934,6935,6936,6937,6956,6957,6964,6976,6979,6981,6983,6984,6985,6987,7001,7012,7013,7014,7027,7079,7090,7092,7114,7115,7151,7158,7163,7193,7213,7224,7280,7309,7364,7385,7394,7397,7457,7467,7527,7529,7543,7552,7553,7554,7570,7574,7576,7624,7634,7637,7652,7700,7702,7705,7746,7747,7765,7833,7851,7874,7897,7909,7923,7934,7945,7946,7972,7974,7976,7986,8022,8033,8058,8085,8117,8148,8181,8220,8236,8238,8254,8255,8316,8327,8392,8416,8435,8462,8501,8502,8519,8559,8561,8563,8569,8583,8587,8602,8623,8631,8633,8643,8648,8652,8653,8654,8655,8656,8657,8676,8690,8691,8709,8711,8715,8716,8717,8718,8719,8737,8738,8739,8749,8762,8765,8776,8781,8783,8785,8786,8787,8794,8800,8808,8811,8828,8829,8838,8839,8847,8866,8879,8883,8904,8926,8927,8930,8931,8937,8946,8947,8970,8981,8991,8992,8993,8996,9019,9020,9031,9080,9090,9092,9108,9120,9121,9122,9133,9197,9228,9229,9230,9245,9262,9270,9298,9299,9368,9401,9407,9417,9418,9419,9428,9458,9474,9478,9482,9504,9505,9532,9594,9599,9602,9639,9640,9641,9669,9670,9687,9708,9714,9726,9751,9772,9781,9782,9783,9784,9799,9801,9806,9836,9837,9843,9844,9888,9889,9900,9901,9925,9943,9945,9946,9954,9959,9966,9990,10025,10027,10031,10081,10122,10123,10125,10134,10135,10155,10160,10251,10346,10347,10348,10349,10413,10431,2,8,9,4765,4766,4784,4826,4828,4829,4852,4858,4859,4869,4914,4916,4964,5094,5095,5112,5136,5193,5194,5200,5201,5203,5205,5214,5217,5218,5226,5239,5240,5246,5267,5268,5286,5291,5292,5293,5294,5299,5307,5310,5317,5372,5377,5378,5383,5390,5421,5431,5436,5452,5469,5470,5477,5478,5479,5490,5508,5510,5511,5518,5525,5526,5538,5539,5540,5541,5544,5545,5549,5550,5551,5552,5582,5583,5584,5592,5593,5594,5595,5638,5643,5645,5681,5683,5684,5686,5687,5689,5690,5692,5701,5706,5707,5708,5710,5712,5713,5714,5715,5716,5717,5726,5727,5737,5740,5751,5767,5768,5771,5781,5783,5784,5785,5812,5822,5837,5838,5847,5848,5850,5852,5857,5892,5897,5899,5958,5993,5994,6008,6014,6017,6018,6019,6020,6039,6043,6044,6053,6075,6104,6123,6127,6128,6130,6153,6157,6160,6161,6162,6177,6187,6188,6220,6221,6225,6247,6250,6253,6275,6276,6304,6307,6316,6326,6335,6339,6347,6348,6349,6350,6381,6382,6399,6452,6489,6491,6513,6514,6521,6525,6526,6530,6544,6560,6581,6582,6587,6598,6613,6633,6639,6641,6656,6657,6660,6661,6663,6665,6666,6667,6669,6671,6675,6681,6682,6684,6685,6691,6693,6735,6740,6755,6758,6759,6760,6794,6799,6801,6806,6807,6815,6819,6833,6856,6857,6859,6860,6871,6877,6896,6899,6918,6950,6951,6952,6958,6972,6991,6993,6995,6997,7002,7008,7010,7024,7029,7030,7065,7066,7067,7081,7082,7084,7085,7104,7106,7121,7149,7171,7182,7184,7186,7188,7189,7222,7223,7227,7228,7235,7236,7238,7240,7262,7271,7272,7283,7293,7333,7343,7347,7354,7365,7370,7372,7379,7387,7388,7401,7418,7439,7441,7460,7512,7513,7514,7516,7518,7522,7523,7528,7591,7620,7635,7651,7682,7686,7708,7730,7748,7751,7752,7762,7782,7784,7786,7788,7789,7790,7815,7841,7842,7873,7875,7876,7877,7882,7903,7920,7925,7931,7933,7941,7953,7954,7956,7977,7984,8005,8071,8072,8073,8120,8126,8127,8150,8151,8168,8169,8170,8227,8228,8257,8286,8295,8306,8319,8348,8352,8358,8370,8388,8393,8415,8460,8489,8503,8523,8526,8552,8577,8634,8635,8638,8639,8707,8741,8742,8743,8744,8771,8803,8832,8840,8841,8882,8903,8948,8964,9010,9013,9028,9035,9077,9116,9117,9135,9136,9150,9267,9272,9276,9296,9307,9330,9332,9335,9341,9343,9344,9355,9356,9375,9381,9392,9400,9444,9462,9517,9518,9524,9563,9586,9591,9631,9645,9649,9650,9654,9655,9668,9692,9707,9716,9717,9719,9721,9750,9870,9871,9920,9921,9960,9996,10108,10164,10226,10320,10338,10343,3,2845,2846,2847,2848,2850,2851,2852,2856,2857,2858,2870,2874,2879,2880,2881,2882,2883,2884,2885,2891,2892,2894,2895,2896,2897,2898,2899,2901,2902,2903,2908,2912,2915,2916,2917,2918,2919,2929,2930,2931,2942,2959,2960,2964,2965,2967,2968,2972,2973,2974,2977,2978,2980,2985,2986,2990,2991,2992,2999,3001,3003,3004,3005,3006,3011,3032,3034,3036,3039,3040,3041,3046,3047,3066,3067,3068,3071,3073,3074,3079,3081,5468,5507,5654,5655,5656,5738,5836,5866,5900,5916,5918,5924,5986,5987,5988,5989,6006,6041,6172,6209,6219,6244,6279,6317,6468,6473,6511,6512,6535,6537,6539,6546,6547,6548,6549,6550,6551,6552,6553,6634,6705,6706,6793,6828,6829,6868,6869,7009,7023,7094,7095,7101,7122,7155,7157,7196,7204,7225,7226,7244,7245,7282,7327,7328,7425,7493,7494,7495,7496,7511,7544,7596,7597,7606,7611,7612,7623,7654,7655,7656,7657,7797,7799,7800,7801,7807,7808,8013,8019,8020,8030,8068,8069,8146,8186,8240,8262,8263,8334,8428,8499,8500,8504,8538,8598,8599,8666,8683,8684,8685,8686,8836,9094,9095,9164,9178,9231,9232,9352,9385,9412,9446,9487,9690,9813,9955,10133,10189,10191,10354,6618,6619,6708,6728,6729,7146,7363,8484,8757,9004,9189,9190,9258,9259,9441,9535,9536,9537,9538,9753,10019,10033,10399,10400,6690,8590,8591,9060,9078,10020,10398,4799,4831,4832,4835,4881,4885,4890,4931,5028,5045,5075,5076,5107,5170,5173,5233,5366,5406,5407,5409,5416,5417,5441,5484,5515,5537,5670,5743,5744,5745,5805,5862,5863,5889,5893,5952,5954,5963,5969,6057,6137,6286,6343,6455,6580,6738,6945,7199,7368,7598,7661,7991,7992,8237,8243,8929,9058])).
% 178.61/178.34 cnf(13710,plain,
% 178.61/178.34 (P106(f326(f326(f234(f922(x137101,a910)),f326(f172(x137101),f176(x137101,x137102,x137103))),f326(f172(x137101),x137102)))),
% 178.61/178.34 inference(rename_variables,[],[4198])).
% 178.61/178.34 cnf(13719,plain,
% 178.61/178.34 (P106(f326(f326(f235(a1),f326(f326(f3(a1),x137191),f77(a1))),x137191))),
% 178.61/178.34 inference(rename_variables,[],[11017])).
% 178.61/178.34 cnf(13722,plain,
% 178.61/178.34 (E(f326(f283(x137221,x137221),f262(x137221,x137222)),x137222)),
% 178.61/178.34 inference(rename_variables,[],[3464])).
% 178.61/178.34 cnf(13725,plain,
% 178.61/178.34 (~E(f326(f326(f151(x137251),x137252),x137253),x137253)),
% 178.61/178.34 inference(rename_variables,[],[4679])).
% 178.61/178.34 cnf(13728,plain,
% 178.61/178.34 (~E(f326(f326(f151(x137281),x137282),x137283),x137283)),
% 178.61/178.34 inference(rename_variables,[],[4679])).
% 178.61/178.34 cnf(13731,plain,
% 178.61/178.34 (~P106(f326(f326(f234(a914),f326(f326(f80(a914),f326(a112,x137311)),f326(a112,x137311))),x137311))),
% 178.61/178.34 inference(rename_variables,[],[10956])).
% 178.61/178.34 cnf(13741,plain,
% 178.61/178.34 (P106(f326(f326(f234(f922(x137411,a910)),f326(f172(x137411),f176(x137411,x137412,x137413))),f326(f172(x137411),x137412)))),
% 178.61/178.34 inference(rename_variables,[],[4198])).
% 178.61/178.34 cnf(13748,plain,
% 178.61/178.34 (E(f326(f326(f134(x137481),x137482),f113(x137481)),x137482)),
% 178.61/178.34 inference(rename_variables,[],[3435])).
% 178.61/178.34 cnf(13755,plain,
% 178.61/178.34 (P106(f326(f326(f234(a914),x137551),f326(f326(f80(a914),x137551),x137551)))),
% 178.61/178.34 inference(rename_variables,[],[3765])).
% 178.61/178.34 cnf(13763,plain,
% 178.61/178.34 (E(f326(f283(x137631,x137631),f262(x137631,x137632)),x137632)),
% 178.61/178.34 inference(rename_variables,[],[3464])).
% 178.61/178.34 cnf(13768,plain,
% 178.61/178.34 (~P106(f326(f326(f188(f922(x137681,f922(x137682,a910))),x137683),x137684))),
% 178.61/178.34 inference(rename_variables,[],[4738])).
% 178.61/178.34 cnf(13776,plain,
% 178.61/178.34 (~P106(f326(f326(f328(a914),x137761),f326(f281(a914),f2(a914))))),
% 178.61/178.34 inference(rename_variables,[],[12063])).
% 178.61/178.34 cnf(13786,plain,
% 178.61/178.34 (~P106(f326(f326(f234(a914),f326(f326(f80(a914),f326(a112,x137861)),f326(a112,x137861))),x137861))),
% 178.61/178.34 inference(rename_variables,[],[10956])).
% 178.61/178.34 cnf(13796,plain,
% 178.61/178.34 (~P106(f326(f326(f328(x137961),x137962),f188(f922(x137961,a910))))),
% 178.61/178.34 inference(rename_variables,[],[4724])).
% 178.61/178.34 cnf(13805,plain,
% 178.61/178.34 (~P106(f326(f326(f235(a914),x138051),x138051))),
% 178.61/178.34 inference(rename_variables,[],[4711])).
% 178.61/178.34 cnf(13810,plain,
% 178.61/178.34 (~P106(f326(f326(f328(x138101),x138102),f188(f922(x138101,a910))))),
% 178.61/178.34 inference(rename_variables,[],[4724])).
% 178.61/178.34 cnf(13813,plain,
% 178.61/178.34 (~P106(f326(f326(f328(f921(x138131,x138131)),x138132),f262(x138131,f188(f922(x138131,a910)))))),
% 178.61/178.34 inference(rename_variables,[],[11204])).
% 178.61/178.34 cnf(13820,plain,
% 178.61/178.34 (~E(f326(f326(f101(a914),f326(a112,x138201)),x138201),f326(a112,x138201))),
% 178.61/178.34 inference(rename_variables,[],[11810])).
% 178.61/178.34 cnf(13830,plain,
% 178.61/178.34 (P106(f326(f326(f328(x138301),f326(x138302,x138303)),f326(f309(x138304,x138301,x138302),f241(f922(x138304,a910)))))),
% 178.61/178.34 inference(rename_variables,[],[4106])).
% 178.61/178.34 cnf(13850,plain,
% 178.61/178.34 (~P106(f326(f326(f328(a914),x138501),f326(f281(a914),f2(a914))))),
% 178.61/178.34 inference(rename_variables,[],[12063])).
% 178.61/178.34 cnf(13859,plain,
% 178.61/178.34 (P106(f326(f326(f235(a914),x138591),f326(a112,f326(f326(f79(a914),x138592),x138591))))),
% 178.61/178.34 inference(rename_variables,[],[3952])).
% 178.61/178.34 cnf(13870,plain,
% 178.61/178.34 (E(f326(x138701,f326(f91(x138702,x138703,f241(f922(x138702,a910)),x138701),f326(x138701,x138704))),f326(x138701,x138704))),
% 178.61/178.34 inference(rename_variables,[],[11348])).
% 178.61/178.34 cnf(13879,plain,
% 178.61/178.34 (P106(f326(f326(f235(a1),f326(f326(f3(a1),x138791),f77(a1))),x138791))),
% 178.61/178.34 inference(rename_variables,[],[11017])).
% 178.61/178.34 cnf(13882,plain,
% 178.61/178.34 (E(f326(f283(x138821,x138821),f262(x138821,x138822)),x138822)),
% 178.61/178.34 inference(rename_variables,[],[3464])).
% 178.61/178.34 cnf(13887,plain,
% 178.61/178.34 (P106(f326(f326(f234(f922(x138871,a910)),x138872),x138872))),
% 178.61/178.34 inference(rename_variables,[],[3799])).
% 178.61/178.34 cnf(13890,plain,
% 178.61/178.34 (~P106(f326(f326(f328(a914),x138901),f326(f281(a914),f2(a914))))),
% 178.61/178.34 inference(rename_variables,[],[12063])).
% 178.61/178.34 cnf(13895,plain,
% 178.61/178.34 (~P106(f326(f326(f328(a914),x138951),f326(f281(a914),f2(a914))))),
% 178.61/178.34 inference(rename_variables,[],[12063])).
% 178.61/178.34 cnf(13898,plain,
% 178.61/178.34 (~P106(f326(f326(f328(x138981),x138982),f188(f922(x138981,a910))))),
% 178.61/178.34 inference(rename_variables,[],[4724])).
% 178.61/178.34 cnf(13908,plain,
% 178.61/178.34 (P106(f326(f326(f234(f922(x139081,a910)),f326(f172(x139081),f176(x139081,x139082,x139083))),f326(f172(x139081),x139082)))),
% 178.61/178.34 inference(rename_variables,[],[4198])).
% 178.61/178.34 cnf(13938,plain,
% 178.61/178.34 (~E(f326(f326(f151(x139381),x139382),x139383),x139383)),
% 178.61/178.34 inference(rename_variables,[],[4679])).
% 178.61/178.34 cnf(13943,plain,
% 178.61/178.34 (P106(f326(f326(f286(a914),x139431),x139431))),
% 178.61/178.34 inference(rename_variables,[],[3505])).
% 178.61/178.34 cnf(13954,plain,
% 178.61/178.34 (E(f326(f326(f134(x139541),f113(x139541)),x139542),x139542)),
% 178.61/178.34 inference(rename_variables,[],[3459])).
% 178.61/178.34 cnf(13961,plain,
% 178.61/178.34 (~P106(f326(f326(f328(x139611),x139612),f326(f310(x139611,x139613,x139614),f188(f922(x139613,a910)))))),
% 178.61/178.34 inference(rename_variables,[],[11207])).
% 178.61/178.34 cnf(13966,plain,
% 178.61/178.34 (~P106(f326(f326(f328(x139661),x139662),f188(f922(x139661,a910))))),
% 178.61/178.34 inference(rename_variables,[],[4724])).
% 178.61/178.34 cnf(13971,plain,
% 178.61/178.34 (P106(f326(f326(f234(f922(x139711,a910)),x139712),f326(f326(f110(f922(x139711,a910)),x139713),f241(f922(x139711,a910)))))),
% 178.61/178.34 inference(rename_variables,[],[11454])).
% 178.61/178.34 cnf(13983,plain,
% 178.61/178.34 (~P106(f326(f326(f328(x139831),x139832),f326(f309(x139833,x139831,x139834),f188(f922(x139833,a910)))))),
% 178.61/178.34 inference(rename_variables,[],[11449])).
% 178.61/178.34 cnf(14001,plain,
% 178.61/178.34 (~P106(f326(f326(f328(f921(x140011,x140011)),x140012),f262(x140011,f188(f922(x140011,a910)))))),
% 178.61/178.34 inference(rename_variables,[],[11204])).
% 178.61/178.34 cnf(14004,plain,
% 178.61/178.34 (~E(f326(f326(f151(x140041),x140042),x140043),x140043)),
% 178.61/178.34 inference(rename_variables,[],[4679])).
% 178.61/178.34 cnf(14011,plain,
% 178.61/178.34 (~P106(f326(f326(f328(f921(x140111,x140111)),x140112),f262(x140111,f188(f922(x140111,a910)))))),
% 178.61/178.34 inference(rename_variables,[],[11204])).
% 178.61/178.34 cnf(14019,plain,
% 178.61/178.34 (E(f326(x140191,f326(f91(x140192,x140193,f241(f922(x140192,a910)),x140191),f326(x140191,x140194))),f326(x140191,x140194))),
% 178.61/178.34 inference(rename_variables,[],[11348])).
% 178.61/178.34 cnf(14033,plain,
% 178.61/178.34 (~E(x140331,f326(a112,x140331))),
% 178.61/178.34 inference(rename_variables,[],[10541])).
% 178.61/178.34 cnf(14036,plain,
% 178.61/178.34 (~E(f326(f326(f151(x140361),x140362),x140363),x140363)),
% 178.61/178.34 inference(rename_variables,[],[4679])).
% 178.61/178.34 cnf(14039,plain,
% 178.61/178.34 (~E(f326(f326(f151(x140391),x140392),x140393),x140393)),
% 178.61/178.34 inference(rename_variables,[],[4679])).
% 178.61/178.34 cnf(14046,plain,
% 178.61/178.34 (P106(f326(f326(f234(f922(x140461,a910)),x140462),f326(f326(f308(x140461),x140463),x140462)))),
% 178.61/178.34 inference(rename_variables,[],[3949])).
% 178.61/178.34 cnf(14065,plain,
% 178.61/178.34 (~P106(f326(f326(f328(x140651),x140652),f188(f922(x140651,a910))))),
% 178.61/178.34 inference(rename_variables,[],[4724])).
% 178.61/178.34 cnf(14075,plain,
% 178.61/178.34 (~P106(f326(f326(f328(x140751),x140752),f188(f922(x140751,a910))))),
% 178.61/178.34 inference(rename_variables,[],[4724])).
% 178.61/178.34 cnf(14092,plain,
% 178.61/178.34 (~P106(f326(f326(f328(x140921),x140922),f188(f922(x140921,a910))))),
% 178.61/178.34 inference(rename_variables,[],[4724])).
% 178.61/178.34 cnf(14100,plain,
% 178.61/178.34 (~P106(f326(f62(x141001,x141002,f188(f922(x141001,a910))),x141003))),
% 178.61/178.34 inference(rename_variables,[],[4734])).
% 178.61/178.34 cnf(14115,plain,
% 178.61/178.34 (~P106(f326(f326(f328(f921(x141151,x141151)),x141152),f262(x141151,f188(f922(x141151,a910)))))),
% 178.61/178.34 inference(rename_variables,[],[11204])).
% 178.61/178.34 cnf(14147,plain,
% 178.61/178.34 (~P106(f326(f326(f235(a914),f326(f326(f79(a914),x141471),x141472)),x141471))),
% 178.61/178.34 inference(rename_variables,[],[4736])).
% 178.61/178.34 cnf(14162,plain,
% 178.61/178.34 (~P34(x141621,x141622,x141623,f326(f326(f154(x141624,x141621),x141625),f326(a112,f113(x141624))),f113(x141622))),
% 178.61/178.34 inference(rename_variables,[],[11484])).
% 178.61/178.34 cnf(14185,plain,
% 178.61/178.34 (~P106(f326(f326(f328(f921(x141851,x141851)),x141852),f262(x141851,f188(f922(x141851,a910)))))),
% 178.61/178.34 inference(rename_variables,[],[11204])).
% 178.61/178.34 cnf(14204,plain,
% 178.61/178.34 (~E(f326(f326(f151(x142041),x142042),x142043),x142043)),
% 178.61/178.34 inference(rename_variables,[],[4679])).
% 178.61/178.34 cnf(14232,plain,
% 178.61/178.34 (~P106(f326(f326(f328(x142321),x142322),f326(f310(x142321,x142323,x142324),f188(f922(x142323,a910)))))),
% 178.61/178.34 inference(rename_variables,[],[11207])).
% 178.61/178.34 cnf(14257,plain,
% 178.61/178.34 (P106(f326(f326(f328(x142571),f326(x142572,x142573)),f326(f309(x142574,x142571,x142572),f241(f922(x142574,a910)))))),
% 178.61/178.34 inference(rename_variables,[],[4106])).
% 178.61/178.34 cnf(14272,plain,
% 178.61/178.34 (P106(f326(f326(f234(a914),x142721),f326(f326(f80(a914),x142721),x142721)))),
% 178.61/178.34 inference(rename_variables,[],[3765])).
% 178.61/178.34 cnf(14309,plain,
% 178.61/178.34 ($false),
% 178.61/178.34 inference(scs_inference,[],[3941,3532,4282,4088,3298,4737,3506,4712,4140,3579,4705,3596,3954,4741,3603,4106,13830,14257,4724,13796,13810,13898,13966,14065,14075,14092,4198,13710,13741,13908,3505,13943,4670,4679,13725,13728,13938,14004,14036,14039,14204,4700,3487,3583,4149,3959,3524,3815,3949,14046,3799,13887,3765,13755,14272,4378,3952,13859,3464,13722,13763,13882,3435,13748,3459,13954,4742,4745,4711,13805,4734,14100,4738,13768,4735,4736,14147,3708,11810,13820,10541,14033,10598,12121,12161,12760,11620,13555,10791,10863,13027,10851,13040,11343,12762,12791,12798,11454,13971,11017,13719,13879,12065,4496,11147,11523,11478,11348,13870,14019,13493,10517,13294,10656,10779,3535,3449,11420,10528,11505,11253,13282,13285,10966,13585,12452,12558,10502,13042,12061,12063,13776,13850,13890,13895,11204,13813,14001,14011,14115,14185,12377,11207,13961,14232,11449,13983,10956,13731,13786,12318,12816,12723,13603,11484,14162,11222,11488,12627,10941,11106,3142,11869,8,6023,8828,5522,5885,5926,6015,8255,8785,8786,9031,6285,6338,6621,7163,9262,5028,6494,6725,5647,8220,8738,9843,8254,8569,6118,6518,6984,9900,5670,8866,5243,6434,5485,7079,8981,10134,6469,9599,5430,5985,6078,9640,9708,8787,8947,10123,5242,6266,9197,7974,5553,5588,5532,5534,6935,5757,5991,8631,6945,4889,4959,6163,6453,6695,6783,6936,8946,4835,5956,6738,7158,6630,4925,5367,8181,8992,5871,8993,9229,9230,5874,7747,8690,5940,5502,5846,6576,9122,9108,6336,7746,9499,6302,6577,8929,4880,5880,6306,6569,7090,9669,5724,5882,7397,7833,8654,5927,6904,5944,8236,5366,5992,6838,7576,8653,9368,2,5148,5889,7598,8781,5221,8717,9966,4965,5424,7224,8652,8657,5433,4885,5602,7527,8718,7976,6620,8847,4778,5497,6572,8715,9714,5406,5949,6166,8033,8676,7945,8243,10155,5942,5632,8709,8749,9772,5598,5867,8316,9299,6103,9836,6741,9806,5936,6676,6981,8926,9799,5514,9959,6689,9261,6117,6934,8776,7394,9121,9641,4799,5599,5881,6517,6438,6784,10031,10027,7151,8519,9482,9458,7554,6652,7364,8561,8991,6343,9417,9532,5773,8737,10347,7574,6436,5399,5501,10413,9019,9781,5963,8656,6450,6516,5381,8648,10251,6651,9080,6487,10125,5805,6218,9954,9419,9801,9943,5410,8633,8691,8930,9687,9945,8462,7309,5515,4930,5358,5696,7909,8711,8794,7634,4831,5045,5729,7027,9092,4881,4865]),
% 178.61/178.34 ['proof']).
% 178.61/178.34 % SZS output end Proof
% 178.61/178.34 % Total time :157.860000s
%------------------------------------------------------------------------------