TSTP Solution File: SWW318+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWW318+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 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 : Fri Sep 1 00:13:44 EDT 2023
% Result : Theorem 27.83s 28.18s
% Output : CNFRefutation 28.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW318+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.17/0.35 % Computer : n016.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Sun Aug 27 21:53:44 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.22/0.58 start to proof:theBenchmark
% 27.83/27.98 %-------------------------------------------
% 27.83/27.98 % File :CSE---1.6
% 27.83/27.98 % Problem :theBenchmark
% 27.83/27.98 % Transform :cnf
% 27.83/27.98 % Format :tptp:raw
% 27.83/27.98 % Command :java -jar mcs_scs.jar %d %s
% 27.83/27.98
% 27.83/27.98 % Result :Theorem 22.950000s
% 27.83/27.98 % Output :CNFRefutation 22.950000s
% 27.83/27.98 %-------------------------------------------
% 27.83/27.99 %------------------------------------------------------------------------------
% 27.83/27.99 % File : SWW318+1 : TPTP v8.1.2. Released v5.2.0.
% 27.83/27.99 % Domain : Software Verification
% 27.83/27.99 % Problem : Hoare's Logic with Procedures 435006, 5000 axioms selected
% 27.83/27.99 % Version : Especial.
% 27.83/27.99 % English :
% 27.83/27.99
% 27.83/27.99 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 27.83/27.99 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 27.83/27.99 % Source : [Bla11]
% 27.83/27.99 % Names : hoare_435006.5000.p [Bla11]
% 27.83/27.99
% 27.83/27.99 % Status : ContradictoryAxioms
% 27.83/27.99 % Rating : 0.50 v8.1.0, 0.56 v7.5.0, 0.62 v7.4.0, 0.77 v7.3.0, 0.62 v7.2.0, 0.59 v7.1.0, 0.57 v7.0.0, 0.70 v6.4.0, 0.65 v6.3.0, 0.67 v6.2.0, 0.76 v6.1.0, 0.83 v6.0.0, 0.78 v5.4.0, 0.79 v5.3.0, 0.85 v5.2.0
% 27.83/27.99 % Syntax : Number of formulae : 5226 (1717 unt; 0 def)
% 27.83/27.99 % Number of atoms : 12627 (4451 equ)
% 27.83/27.99 % Maximal formula atoms : 13 ( 2 avg)
% 27.83/27.99 % Number of connectives : 8428 (1027 ~; 151 |; 713 &)
% 27.83/27.99 % ( 885 <=>;5652 =>; 0 <=; 0 <~>)
% 27.83/27.99 % Maximal formula depth : 22 ( 6 avg)
% 27.83/27.99 % Maximal term depth : 19 ( 2 avg)
% 27.83/27.99 % Number of predicates : 148 ( 147 usr; 0 prp; 1-6 aty)
% 27.83/27.99 % Number of functors : 390 ( 390 usr; 56 con; 0-7 aty)
% 27.83/27.99 % Number of variables : 16636 (16483 !; 153 ?)
% 27.83/27.99 % SPC : FOF_CAX_RFO_SEQ
% 27.83/27.99
% 27.83/27.99 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 27.83/27.99 % 2011-03-01 11:46:29
% 27.83/27.99 %------------------------------------------------------------------------------
% 27.83/27.99 %----Relevant facts (4985)
% 27.83/27.99 fof(fact_ext,axiom,
% 27.83/27.99 ! [V_g_2,V_f_2] :
% 27.83/27.99 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 27.83/27.99 => V_f_2 = V_g_2 ) ).
% 27.83/27.99
% 27.83/27.99 fof(fact_empty,axiom,
% 27.83/27.99 ! [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))) ).
% 27.83/27.99
% 27.83/27.99 fof(fact_hoare__derivs_Oequations_I1_J,axiom,
% 27.83/27.99 ! [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))) ).
% 27.83/27.99
% 27.83/27.99 fof(fact_triple_Oinject,axiom,
% 27.83/27.99 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_b] :
% 27.83/27.99 ( 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)
% 27.83/27.99 <=> ( V_fun1_2 = V_fun1_H_2
% 27.83/27.99 & V_com_2 = V_com_H_2
% 27.83/27.99 & V_fun2_2 = V_fun2_H_2 ) ) ).
% 27.83/27.99
% 27.83/27.99 fof(fact_cut,axiom,
% 27.83/27.99 ! [V_Ga_2,V_ts_2,V_G_H_2,T_b] :
% 27.83/27.99 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2)
% 27.83/27.99 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_G_H_2)
% 27.83/27.99 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 27.83/27.99
% 27.83/27.99 fof(fact_hoare__derivs_Oinsert,axiom,
% 27.83/27.99 ! [V_ts_2,V_t_2,V_Ga_2,T_b] :
% 27.83/27.99 ( 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))))
% 27.83/27.99 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2)
% 27.83/27.99 => 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)) ) ) ).
% 27.83/27.99
% 27.83/27.99 fof(fact_BodyN,axiom,
% 27.83/27.99 ! [V_Ga_2,V_Qa_2,V_pna_2,V_Pa_2,T_b] :
% 27.83/27.99 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),hAPP(c_Com_Ocom_OBODY,V_pna_2)),V_Qa_2)),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),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pna_2))),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 27.83/27.99 => 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),hAPP(c_Com_Ocom_OBODY,V_pna_2)),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ).
% 27.83/27.99
% 27.83/27.99 fof(fact_triple_Orecs,axiom,
% 27.83/27.99 ! [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) ).
% 27.83/27.99
% 27.83/27.99 fof(fact_triple_Osimps_I2_J,axiom,
% 27.83/27.99 ! [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) ).
% 27.83/27.99
% 27.83/27.99 fof(fact_empty__not__insert,axiom,
% 27.83/27.99 ! [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) ).
% 27.83/27.99
% 27.83/27.99 fof(fact_insert__not__empty,axiom,
% 27.83/27.99 ! [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)) ).
% 27.83/27.99
% 27.83/27.99 fof(fact_doubleton__eq__iff,axiom,
% 27.83/27.99 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 27.83/27.99 ( 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))))
% 27.83/27.99 <=> ( ( V_a_2 = V_c_2
% 27.83/27.99 & V_b_2 = V_d_2 )
% 27.83/27.99 | ( V_a_2 = V_d_2
% 27.83/27.99 & V_b_2 = V_c_2 ) ) ) ).
% 27.83/27.99
% 27.83/27.99 fof(fact_singleton__inject,axiom,
% 27.83/27.99 ! [V_b_2,V_a_2,T_b] :
% 27.83/27.99 ( 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)))
% 27.83/27.99 => V_a_2 = V_b_2 ) ).
% 27.83/27.99
% 27.83/27.99 fof(fact_bot__apply,axiom,
% 27.83/27.99 ! [V_x_2,T_c,T_b] :
% 27.83/27.99 ( class_Orderings_Obot(T_b)
% 27.83/27.99 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 27.83/27.99
% 27.83/27.99 fof(fact_hoare__derivs_OSkip,axiom,
% 27.83/27.99 ! [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)))) ).
% 27.83/27.99
% 27.83/27.99 fof(fact_hoare__derivs_Oequations_I7_J,axiom,
% 27.83/27.99 ! [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)))) ).
% 27.83/27.99
% 27.83/27.99 fof(fact_conseq2,axiom,
% 27.83/27.99 ! [V_Qa_2,V_Q_H_2,V_c_2,V_Pa_2,V_Ga_2,T_b] :
% 27.83/27.99 ( 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))))
% 27.83/27.99 => ( ! [B_Z,B_s] :
% 27.83/27.99 ( hBOOL(hAPP(hAPP(V_Q_H_2,B_Z),B_s))
% 27.83/27.99 => hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s)) )
% 27.83/27.99 => 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)))) ) ) ).
% 27.83/27.99
% 27.83/27.99 fof(fact_conseq1,axiom,
% 27.83/27.99 ! [V_Pa_2,V_Qa_2,V_c_2,V_P_H_2,V_Ga_2,T_b] :
% 27.83/27.99 ( 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))))
% 27.83/27.99 => ( ! [B_Z,B_s] :
% 27.83/27.99 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 27.83/27.99 => hBOOL(hAPP(hAPP(V_P_H_2,B_Z),B_s)) )
% 27.83/27.99 => 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)))) ) ) ).
% 27.83/27.99
% 27.83/27.99 fof(fact_Comp,axiom,
% 27.83/27.99 ! [V_R_2,V_d_2,V_Qa_2,V_c_2,V_Pa_2,V_Ga_2,T_b] :
% 27.83/27.99 ( 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))))
% 27.83/27.99 => ( 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))))
% 27.83/27.99 => 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)))) ) ) ).
% 27.83/27.99
% 27.83/27.99 fof(fact_insert__code,axiom,
% 27.83/27.99 ! [V_x_2,V_A_2,V_y_2,T_b] :
% 27.83/28.00 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2))
% 27.83/28.00 <=> ( V_y_2 = V_x_2
% 27.83/28.00 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_insert__commute,axiom,
% 27.83/28.00 ! [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)) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_insert__absorb2,axiom,
% 27.83/28.00 ! [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) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_the__elem__eq,axiom,
% 27.83/28.00 ! [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 ).
% 27.83/28.00
% 27.83/28.00 fof(fact_com_Osimps_I12_J,axiom,
% 27.83/28.00 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_com_Osimps_I13_J,axiom,
% 27.83/28.00 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 27.83/28.00
% 27.83/28.00 fof(fact_com_Osimps_I19_J,axiom,
% 27.83/28.00 ! [V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSKIP ).
% 27.83/28.00
% 27.83/28.00 fof(fact_com_Osimps_I18_J,axiom,
% 27.83/28.00 ! [V_pname_H] : c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_com_Osimps_I48_J,axiom,
% 27.83/28.00 ! [V_pname_H,V_com2,V_com1] : c_Com_Ocom_OSemi(V_com1,V_com2) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_com_Osimps_I49_J,axiom,
% 27.83/28.00 ! [V_com2,V_com1,V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_com_Osimps_I3_J,axiom,
% 27.83/28.00 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] :
% 27.83/28.00 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2)
% 27.83/28.00 <=> ( V_com1_2 = V_com1_H_2
% 27.83/28.00 & V_com2_2 = V_com2_H_2 ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_com_Osimps_I6_J,axiom,
% 27.83/28.00 ! [V_pname_H_2,V_pname_2] :
% 27.83/28.00 ( hAPP(c_Com_Ocom_OBODY,V_pname_2) = hAPP(c_Com_Ocom_OBODY,V_pname_H_2)
% 27.83/28.00 <=> V_pname_2 = V_pname_H_2 ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_evalc_OBody,axiom,
% 27.83/28.00 ! [V_s1,V_s0,V_pn] :
% 27.83/28.00 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_s0),V_s1))
% 27.83/28.00 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_pn)),V_s0),V_s1)) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_evalc__elim__cases_I6_J,axiom,
% 27.83/28.00 ! [V_s1,V_s,V_P] :
% 27.83/28.00 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_P)),V_s),V_s1))
% 27.83/28.00 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P))),V_s),V_s1)) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_Body__triple__valid__Suc,axiom,
% 27.83/28.00 ! [V_Qa_2,V_pna_2,V_Pa_2,V_n_2,T_b] :
% 27.83/28.00 ( c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pna_2))),V_Qa_2))
% 27.83/28.00 <=> c_Hoare__Mirabelle_Otriple__valid(T_b,hAPP(c_Nat_OSuc,V_n_2),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),hAPP(c_Com_Ocom_OBODY,V_pna_2)),V_Qa_2)) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_evalc_OSemi,axiom,
% 27.83/28.00 ! [V_s2,V_c1,V_s1,V_s0,V_c0] :
% 27.83/28.00 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0),V_s0),V_s1))
% 27.83/28.00 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s1),V_s2))
% 27.83/28.00 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_s2)) ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_evalc__elim__cases_I1_J,axiom,
% 27.83/28.00 ! [V_t,V_s] :
% 27.83/28.00 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_t))
% 27.83/28.00 => V_t = V_s ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_evalc_OSkip,axiom,
% 27.83/28.00 ! [V_s] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_s)) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_com__det,axiom,
% 27.83/28.00 ! [V_u,V_t,V_s,V_c] :
% 27.83/28.00 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t))
% 27.83/28.00 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u))
% 27.83/28.00 => V_u = V_t ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_triple__valid__Suc,axiom,
% 27.83/28.00 ! [V_t,V_n,T_a] :
% 27.83/28.00 ( c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n),V_t)
% 27.83/28.00 => c_Hoare__Mirabelle_Otriple__valid(T_a,V_n,V_t) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_evalc_Oequations_I4_J,axiom,
% 27.83/28.00 ! [V_a5_2,V_a2_2,V_a4_2,V_a1_2] :
% 27.83/28.00 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_a1_2,V_a4_2)),V_a2_2),V_a5_2))
% 27.83/28.00 <=> ? [B_s1] :
% 27.83/28.00 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a1_2),V_a2_2),B_s1))
% 27.83/28.00 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a4_2),B_s1),V_a5_2)) ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_evalc_Oequations_I1_J,axiom,
% 27.83/28.00 ! [V_a] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_a),V_a)) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_evalc_Oequations_I9_J,axiom,
% 27.83/28.00 ! [V_a3_2,V_a2_2,V_a1_2] :
% 27.83/28.00 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_a1_2)),V_a2_2),V_a3_2))
% 27.83/28.00 <=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_a1_2))),V_a2_2),V_a3_2)) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_evaln_OBody,axiom,
% 27.83/28.00 ! [V_s1,V_n,V_s0,V_pn] :
% 27.83/28.00 ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn)),V_s0,V_n,V_s1)
% 27.83/28.00 => c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_pn),V_s0,hAPP(c_Nat_OSuc,V_n),V_s1) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_evaln_Oequations_I9_J,axiom,
% 27.83/28.00 ! [V_a4_2,V_a3_2,V_a2_2,V_a1_2] :
% 27.83/28.00 ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_a1_2),V_a2_2,hAPP(c_Nat_OSuc,V_a3_2),V_a4_2)
% 27.83/28.00 <=> c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_a1_2)),V_a2_2,V_a3_2,V_a4_2) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_Body__triple__valid__0,axiom,
% 27.83/28.00 ! [V_Qa_2,V_pna_2,V_Pa_2,T_b] : c_Hoare__Mirabelle_Otriple__valid(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),hAPP(c_Com_Ocom_OBODY,V_pna_2)),V_Qa_2)) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_evalc__elim__cases_I4_J,axiom,
% 27.83/28.00 ! [V_t,V_s,V_c2,V_c1] :
% 27.83/28.00 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c1,V_c2)),V_s),V_t))
% 27.83/28.00 => ~ ! [B_s1] :
% 27.83/28.00 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s),B_s1))
% 27.83/28.00 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2),B_s1),V_t)) ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_Suc__inject,axiom,
% 27.83/28.00 ! [V_y,V_x] :
% 27.83/28.00 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 27.83/28.00 => V_x = V_y ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_nat_Oinject,axiom,
% 27.83/28.00 ! [V_nat_H_2,V_nat_2] :
% 27.83/28.00 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 27.83/28.00 <=> V_nat_2 = V_nat_H_2 ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_Suc__n__not__n,axiom,
% 27.83/28.00 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 27.83/28.00
% 27.83/28.00 fof(fact_n__not__Suc__n,axiom,
% 27.83/28.00 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_evaln__elim__cases_I6_J,axiom,
% 27.83/28.00 ! [V_s1,V_n,V_s,V_P] :
% 27.83/28.00 ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_P),V_s,V_n,V_s1)
% 27.83/28.00 => ~ ! [B_n] :
% 27.83/28.00 ( V_n = hAPP(c_Nat_OSuc,B_n)
% 27.83/28.00 => ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P)),V_s,B_n,V_s1) ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_conseq12,axiom,
% 27.83/28.00 ! [V_Qa_2,V_Pa_2,V_Q_H_2,V_c_2,V_P_H_2,V_Ga_2,T_b] :
% 27.83/28.00 ( 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))))
% 27.83/28.00 => ( ! [B_Z,B_s] :
% 27.83/28.00 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 27.83/28.00 => ! [B_s_H] :
% 27.83/28.00 ( ! [B_Z_H] :
% 27.83/28.00 ( hBOOL(hAPP(hAPP(V_P_H_2,B_Z_H),B_s))
% 27.83/28.00 => hBOOL(hAPP(hAPP(V_Q_H_2,B_Z_H),B_s_H)) )
% 27.83/28.00 => hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s_H)) ) )
% 27.83/28.00 => 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)))) ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_triple__valid__def2,axiom,
% 27.83/28.00 ! [V_Qa_2,V_c_2,V_Pa_2,V_n_2,T_b] :
% 27.83/28.00 ( c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_c_2),V_Qa_2))
% 27.83/28.00 <=> ! [B_Z,B_s] :
% 27.83/28.00 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 27.83/28.00 => ! [B_s_H] :
% 27.83/28.00 ( c_Natural_Oevaln(V_c_2,B_s,V_n_2,B_s_H)
% 27.83/28.00 => hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s_H)) ) ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_evaln_OSemi,axiom,
% 27.83/28.00 ! [V_s2,V_c1,V_s1,V_n,V_s0,V_c0] :
% 27.83/28.00 ( c_Natural_Oevaln(V_c0,V_s0,V_n,V_s1)
% 27.83/28.00 => ( c_Natural_Oevaln(V_c1,V_s1,V_n,V_s2)
% 27.83/28.00 => c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_n,V_s2) ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_evaln_OSkip,axiom,
% 27.83/28.00 ! [V_n,V_s] : c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_evaln__elim__cases_I1_J,axiom,
% 27.83/28.00 ! [V_t,V_n,V_s] :
% 27.83/28.00 ( c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t)
% 27.83/28.00 => V_t = V_s ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_bot__nat__def,axiom,
% 27.83/28.00 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_Zero__not__Suc,axiom,
% 27.83/28.00 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_nat_Osimps_I2_J,axiom,
% 27.83/28.00 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_Suc__not__Zero,axiom,
% 27.83/28.00 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_nat_Osimps_I3_J,axiom,
% 27.83/28.00 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_Zero__neq__Suc,axiom,
% 27.83/28.00 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_Suc__neq__Zero,axiom,
% 27.83/28.00 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_evaln__Suc,axiom,
% 27.83/28.00 ! [V_s_H,V_n,V_s,V_c] :
% 27.83/28.00 ( c_Natural_Oevaln(V_c,V_s,V_n,V_s_H)
% 27.83/28.00 => c_Natural_Oevaln(V_c,V_s,hAPP(c_Nat_OSuc,V_n),V_s_H) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_eval__eq,axiom,
% 27.83/28.00 ! [V_t_2,V_s_2,V_c_2] :
% 27.83/28.00 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c_2),V_s_2),V_t_2))
% 27.83/28.00 <=> ? [B_n] : c_Natural_Oevaln(V_c_2,V_s_2,B_n,V_t_2) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_evaln__evalc,axiom,
% 27.83/28.00 ! [V_t,V_n,V_s,V_c] :
% 27.83/28.00 ( c_Natural_Oevaln(V_c,V_s,V_n,V_t)
% 27.83/28.00 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_evaln_Oequations_I4_J,axiom,
% 27.83/28.00 ! [V_a6_2,V_a3_2,V_a2_2,V_a5_2,V_a1_2] :
% 27.83/28.00 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_a1_2,V_a5_2),V_a2_2,V_a3_2,V_a6_2)
% 27.83/28.00 <=> ? [B_s1] :
% 27.83/28.00 ( c_Natural_Oevaln(V_a1_2,V_a2_2,V_a3_2,B_s1)
% 27.83/28.00 & c_Natural_Oevaln(V_a5_2,B_s1,V_a3_2,V_a6_2) ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_evaln_Oequations_I1_J,axiom,
% 27.83/28.00 ! [V_a2,V_a1] : c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_a1,V_a2,V_a1) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_triple_Osize_I1_J,axiom,
% 27.83/28.00 ! [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) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_triple_Osize_I2_J,axiom,
% 27.83/28.00 ! [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) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_evaln__elim__cases_I4_J,axiom,
% 27.83/28.00 ! [V_t,V_n,V_s,V_c2,V_c1] :
% 27.83/28.00 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c1,V_c2),V_s,V_n,V_t)
% 27.83/28.00 => ~ ! [B_s1] :
% 27.83/28.00 ( c_Natural_Oevaln(V_c1,V_s,V_n,B_s1)
% 27.83/28.00 => ~ c_Natural_Oevaln(V_c2,B_s1,V_n,V_t) ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_com_Osize_I1_J,axiom,
% 27.83/28.00 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_com_Osize_I7_J,axiom,
% 27.83/28.00 ! [V_pname] : c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY,V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_com_Osize_I9_J,axiom,
% 27.83/28.00 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_com_Osize_I15_J,axiom,
% 27.83/28.00 ! [V_pname] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),hAPP(c_Com_Ocom_OBODY,V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_zero__reorient,axiom,
% 27.83/28.00 ! [V_x_2,T_b] :
% 27.83/28.00 ( class_Groups_Ozero(T_b)
% 27.83/28.00 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2
% 27.83/28.00 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 27.83/28.00 ! [V_i_2,V_n_2,V_inc_2,T_b] :
% 27.83/28.00 ( class_Rings_Osemiring__1(T_b)
% 27.83/28.00 => 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)) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 27.83/28.00 ! [V_i_2,V_inc_2,T_b] :
% 27.83/28.00 ( class_Rings_Osemiring__1(T_b)
% 27.83/28.00 => 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 ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_evalc__evaln,axiom,
% 27.83/28.00 ! [V_t,V_s,V_c] :
% 27.83/28.00 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t))
% 27.83/28.00 => ? [B_n] : c_Natural_Oevaln(V_c,V_s,B_n,V_t) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_com_Osize_I12_J,axiom,
% 27.83/28.00 ! [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))) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_com_Osize_I4_J,axiom,
% 27.83/28.00 ! [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))) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_com_Osize_I16_J,axiom,
% 27.83/28.00 ! [V_fun_2,V_pname_2,V_vname_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OCall(V_vname_2,V_pname_2,V_fun_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_com_Osize_I8_J,axiom,
% 27.83/28.00 ! [V_fun_2,V_pname_2,V_vname_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OCall(V_vname_2,V_pname_2,V_fun_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_com_Osize_I10_J,axiom,
% 27.83/28.00 ! [V_fun_2,V_vname_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OAss(V_vname_2,V_fun_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_com_Osize_I2_J,axiom,
% 27.83/28.00 ! [V_fun_2,V_vname_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OAss(V_vname_2,V_fun_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_zero__less__Suc,axiom,
% 27.83/28.00 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_n))) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_not0__implies__Suc,axiom,
% 27.83/28.00 ! [V_n] :
% 27.83/28.00 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.00 => ? [B_m] : V_n = hAPP(c_Nat_OSuc,B_m) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_nat__induct,axiom,
% 27.83/28.00 ! [V_n_2,V_Pa_2] :
% 27.83/28.00 ( hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 27.83/28.00 => ( ! [B_n] :
% 27.83/28.00 ( hBOOL(hAPP(V_Pa_2,B_n))
% 27.83/28.00 => hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_OSuc,B_n))) )
% 27.83/28.00 => hBOOL(hAPP(V_Pa_2,V_n_2)) ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_zero__induct,axiom,
% 27.83/28.00 ! [V_k_2,V_Pa_2] :
% 27.83/28.00 ( hBOOL(hAPP(V_Pa_2,V_k_2))
% 27.83/28.00 => ( ! [B_n] :
% 27.83/28.00 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_OSuc,B_n)))
% 27.83/28.00 => hBOOL(hAPP(V_Pa_2,B_n)) )
% 27.83/28.00 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_nat_Oexhaust,axiom,
% 27.83/28.00 ! [V_y] :
% 27.83/28.00 ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.00 => ~ ! [B_nat] : V_y != hAPP(c_Nat_OSuc,B_nat) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_nat__case__Suc,axiom,
% 27.83/28.00 ! [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) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_less__zeroE,axiom,
% 27.83/28.00 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_lessI,axiom,
% 27.83/28.00 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_Suc__mono,axiom,
% 27.83/28.00 ! [V_n,V_m] :
% 27.83/28.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 27.83/28.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_add__less__imp__less__left,axiom,
% 27.83/28.00 ! [V_b,V_a,V_c,T_a] :
% 27.83/28.00 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 27.83/28.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b)))
% 27.83/28.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_add__less__imp__less__right,axiom,
% 27.83/28.00 ! [V_b,V_c,V_a,T_a] :
% 27.83/28.00 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 27.83/28.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)))
% 27.83/28.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_add__right__imp__eq,axiom,
% 27.83/28.00 ! [V_c,V_a,V_b,T_a] :
% 27.83/28.00 ( class_Groups_Ocancel__semigroup__add(T_a)
% 27.83/28.00 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)
% 27.83/28.00 => V_b = V_c ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_add__imp__eq,axiom,
% 27.83/28.00 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.00 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 27.83/28.00 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)
% 27.83/28.00 => V_b = V_c ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_add__left__imp__eq,axiom,
% 27.83/28.00 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.00 ( class_Groups_Ocancel__semigroup__add(T_a)
% 27.83/28.00 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)
% 27.83/28.00 => V_b = V_c ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_add__strict__mono,axiom,
% 27.83/28.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 27.83/28.00 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 27.83/28.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 27.83/28.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 27.83/28.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_add__strict__left__mono,axiom,
% 27.83/28.00 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.00 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 27.83/28.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 27.83/28.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))) ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_add__strict__right__mono,axiom,
% 27.83/28.00 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.00 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 27.83/28.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 27.83/28.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_add__less__cancel__left,axiom,
% 27.83/28.00 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 27.83/28.00 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 27.83/28.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_b_2)))
% 27.83/28.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_add__less__cancel__right,axiom,
% 27.83/28.00 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 27.83/28.00 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 27.83/28.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_c_2)))
% 27.83/28.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_add__right__cancel,axiom,
% 27.83/28.00 ! [V_c_2,V_a_2,V_b_2,T_b] :
% 27.83/28.00 ( class_Groups_Ocancel__semigroup__add(T_b)
% 27.83/28.00 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)
% 27.83/28.00 <=> V_b_2 = V_c_2 ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_add__left__cancel,axiom,
% 27.83/28.00 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 27.83/28.00 ( class_Groups_Ocancel__semigroup__add(T_b)
% 27.83/28.00 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)
% 27.83/28.00 <=> V_b_2 = V_c_2 ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 27.83/28.00 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.00 ( class_Groups_Oab__semigroup__add(T_a)
% 27.83/28.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_com_Osimps_I7_J,axiom,
% 27.83/28.00 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_fun_2,V_pname_2,V_vname_2] :
% 27.83/28.00 ( c_Com_Ocom_OCall(V_vname_2,V_pname_2,V_fun_2) = c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2)
% 27.83/28.00 <=> ( V_vname_2 = V_vname_H_2
% 27.83/28.00 & V_pname_2 = V_pname_H_2
% 27.83/28.00 & V_fun_2 = V_fun_H_2 ) ) ).
% 27.83/28.00
% 27.83/28.00 fof(fact_com_Osimps_I1_J,axiom,
% 27.83/28.01 ! [V_fun_H_2,V_vname_H_2,V_fun_2,V_vname_2] :
% 27.83/28.01 ( c_Com_Ocom_OAss(V_vname_2,V_fun_2) = c_Com_Ocom_OAss(V_vname_H_2,V_fun_H_2)
% 27.83/28.01 <=> ( V_vname_2 = V_vname_H_2
% 27.83/28.01 & V_fun_2 = V_fun_H_2 ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I33_J,axiom,
% 27.83/28.01 ! [V_fun_2,V_vname_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I32_J,axiom,
% 27.83/28.01 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_linorder__cases,axiom,
% 27.83/28.01 ! [V_y,V_x,T_a] :
% 27.83/28.01 ( class_Orderings_Olinorder(T_a)
% 27.83/28.01 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 27.83/28.01 => ( V_x != V_y
% 27.83/28.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_order__less__asym,axiom,
% 27.83/28.01 ! [V_y,V_x,T_a] :
% 27.83/28.01 ( class_Orderings_Opreorder(T_a)
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 27.83/28.01 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_xt1_I10_J,axiom,
% 27.83/28.01 ! [V_z,V_x,V_y,T_a] :
% 27.83/28.01 ( class_Orderings_Oorder(T_a)
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 27.83/28.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_order__less__trans,axiom,
% 27.83/28.01 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.01 ( class_Orderings_Opreorder(T_a)
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 27.83/28.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_xt1_I2_J,axiom,
% 27.83/28.01 ! [V_c,V_a,V_b,T_a] :
% 27.83/28.01 ( class_Orderings_Oorder(T_a)
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 27.83/28.01 => ( V_b = V_c
% 27.83/28.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_ord__less__eq__trans,axiom,
% 27.83/28.01 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.01 ( class_Orderings_Oord(T_a)
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 27.83/28.01 => ( V_b = V_c
% 27.83/28.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_xt1_I1_J,axiom,
% 27.83/28.01 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.01 ( class_Orderings_Oorder(T_a)
% 27.83/28.01 => ( V_a = V_b
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 27.83/28.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_ord__eq__less__trans,axiom,
% 27.83/28.01 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.01 ( class_Orderings_Oord(T_a)
% 27.83/28.01 => ( V_a = V_b
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 27.83/28.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_xt1_I9_J,axiom,
% 27.83/28.01 ! [V_a,V_b,T_a] :
% 27.83/28.01 ( class_Orderings_Oorder(T_a)
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 27.83/28.01 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_order__less__asym_H,axiom,
% 27.83/28.01 ! [V_b,V_a,T_a] :
% 27.83/28.01 ( class_Orderings_Opreorder(T_a)
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 27.83/28.01 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_order__less__imp__not__eq2,axiom,
% 27.83/28.01 ! [V_y,V_x,T_a] :
% 27.83/28.01 ( class_Orderings_Oorder(T_a)
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 27.83/28.01 => V_y != V_x ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_order__less__imp__not__eq,axiom,
% 27.83/28.01 ! [V_y,V_x,T_a] :
% 27.83/28.01 ( class_Orderings_Oorder(T_a)
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 27.83/28.01 => V_x != V_y ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_order__less__imp__not__less,axiom,
% 27.83/28.01 ! [V_y,V_x,T_a] :
% 27.83/28.01 ( class_Orderings_Opreorder(T_a)
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 27.83/28.01 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_order__less__not__sym,axiom,
% 27.83/28.01 ! [V_y,V_x,T_a] :
% 27.83/28.01 ( class_Orderings_Opreorder(T_a)
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 27.83/28.01 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_less__imp__neq,axiom,
% 27.83/28.01 ! [V_y,V_x,T_a] :
% 27.83/28.01 ( class_Orderings_Oorder(T_a)
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 27.83/28.01 => V_x != V_y ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_linorder__neqE,axiom,
% 27.83/28.01 ! [V_y,V_x,T_a] :
% 27.83/28.01 ( class_Orderings_Olinorder(T_a)
% 27.83/28.01 => ( V_x != V_y
% 27.83/28.01 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 27.83/28.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_linorder__antisym__conv3,axiom,
% 27.83/28.01 ! [V_x_2,V_y_2,T_b] :
% 27.83/28.01 ( class_Orderings_Olinorder(T_b)
% 27.83/28.01 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 27.83/28.01 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 27.83/28.01 <=> V_x_2 = V_y_2 ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_linorder__less__linear,axiom,
% 27.83/28.01 ! [V_y,V_x,T_a] :
% 27.83/28.01 ( class_Orderings_Olinorder(T_a)
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 27.83/28.01 | V_x = V_y
% 27.83/28.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_not__less__iff__gr__or__eq,axiom,
% 27.83/28.01 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.01 ( class_Orderings_Olinorder(T_b)
% 27.83/28.01 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 27.83/28.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 27.83/28.01 | V_x_2 = V_y_2 ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_linorder__neq__iff,axiom,
% 27.83/28.01 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.01 ( class_Orderings_Olinorder(T_b)
% 27.83/28.01 => ( V_x_2 != V_y_2
% 27.83/28.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 27.83/28.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_order__less__irrefl,axiom,
% 27.83/28.01 ! [V_x,T_a] :
% 27.83/28.01 ( class_Orderings_Opreorder(T_a)
% 27.83/28.01 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_nat__less__cases,axiom,
% 27.83/28.01 ! [V_Pa_2,V_n_2,V_m_2] :
% 27.83/28.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.01 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 27.83/28.01 => ( ( V_m_2 = V_n_2
% 27.83/28.01 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 27.83/28.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 27.83/28.01 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 27.83/28.01 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_add__lessD1,axiom,
% 27.83/28.01 ! [V_k,V_j,V_i] :
% 27.83/28.01 ( 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))
% 27.83/28.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_less__add__eq__less,axiom,
% 27.83/28.01 ! [V_n,V_m,V_l,V_k] :
% 27.83/28.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 27.83/28.01 => ( 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)
% 27.83/28.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_add__less__mono,axiom,
% 27.83/28.01 ! [V_l,V_k,V_j,V_i] :
% 27.83/28.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 27.83/28.01 => 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))) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_add__less__mono1,axiom,
% 27.83/28.01 ! [V_k,V_j,V_i] :
% 27.83/28.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 27.83/28.01 => 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))) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_trans__less__add2,axiom,
% 27.83/28.01 ! [V_m,V_j,V_i] :
% 27.83/28.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 27.83/28.01 => 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))) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_trans__less__add1,axiom,
% 27.83/28.01 ! [V_m,V_j,V_i] :
% 27.83/28.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 27.83/28.01 => 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))) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_less__not__refl3,axiom,
% 27.83/28.01 ! [V_t,V_s] :
% 27.83/28.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 27.83/28.01 => V_s != V_t ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_less__not__refl2,axiom,
% 27.83/28.01 ! [V_m,V_n] :
% 27.83/28.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 27.83/28.01 => V_m != V_n ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_less__irrefl__nat,axiom,
% 27.83/28.01 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_linorder__neqE__nat,axiom,
% 27.83/28.01 ! [V_y,V_x] :
% 27.83/28.01 ( V_x != V_y
% 27.83/28.01 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 27.83/28.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_nat__add__left__cancel__less,axiom,
% 27.83/28.01 ! [V_n_2,V_m_2,V_k_2] :
% 27.83/28.01 ( 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)))
% 27.83/28.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_nat__add__right__cancel,axiom,
% 27.83/28.01 ! [V_n_2,V_k_2,V_m_2] :
% 27.83/28.01 ( 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)
% 27.83/28.01 <=> V_m_2 = V_n_2 ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_nat__add__left__cancel,axiom,
% 27.83/28.01 ! [V_n_2,V_m_2,V_k_2] :
% 27.83/28.01 ( 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)
% 27.83/28.01 <=> V_m_2 = V_n_2 ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_nat__add__assoc,axiom,
% 27.83/28.01 ! [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)) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_nat__add__left__commute,axiom,
% 27.83/28.01 ! [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)) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_nat__add__commute,axiom,
% 27.83/28.01 ! [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) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_nat__neq__iff,axiom,
% 27.83/28.01 ! [V_n_2,V_m_2] :
% 27.83/28.01 ( V_m_2 != V_n_2
% 27.83/28.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_not__add__less2,axiom,
% 27.83/28.01 ! [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)) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_not__add__less1,axiom,
% 27.83/28.01 ! [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)) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_less__not__refl,axiom,
% 27.83/28.01 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_add__neg__neg,axiom,
% 27.83/28.01 ! [V_b,V_a,T_a] :
% 27.83/28.01 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.01 => 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))) ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_add__pos__pos,axiom,
% 27.83/28.01 ! [V_b,V_a,T_a] :
% 27.83/28.01 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 27.83/28.01 => 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))) ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 27.83/28.01 ! [V_a_2,T_b] :
% 27.83/28.01 ( class_Groups_Olinordered__ab__group__add(T_b)
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 27.83/28.01 ! [V_a_2,T_b] :
% 27.83/28.01 ( class_Groups_Olinordered__ab__group__add(T_b)
% 27.83/28.01 => ( 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)))
% 27.83/28.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_add__gr__0,axiom,
% 27.83/28.01 ! [V_n_2,V_m_2] :
% 27.83/28.01 ( 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)))
% 27.83/28.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 27.83/28.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_less__iff__Suc__add,axiom,
% 27.83/28.01 ! [V_n_2,V_m_2] :
% 27.83/28.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.01 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_less__add__Suc2,axiom,
% 27.83/28.01 ! [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)))) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_less__add__Suc1,axiom,
% 27.83/28.01 ! [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)))) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_add__0__left,axiom,
% 27.83/28.01 ! [V_a,T_a] :
% 27.83/28.01 ( class_Groups_Omonoid__add(T_a)
% 27.83/28.01 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_add__0,axiom,
% 27.83/28.01 ! [V_a,T_a] :
% 27.83/28.01 ( class_Groups_Ocomm__monoid__add(T_a)
% 27.83/28.01 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_double__zero__sym,axiom,
% 27.83/28.01 ! [V_a_2,T_b] :
% 27.83/28.01 ( class_Groups_Olinordered__ab__group__add(T_b)
% 27.83/28.01 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)
% 27.83/28.01 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_add__0__right,axiom,
% 27.83/28.01 ! [V_a,T_a] :
% 27.83/28.01 ( class_Groups_Omonoid__add(T_a)
% 27.83/28.01 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_add_Ocomm__neutral,axiom,
% 27.83/28.01 ! [V_a,T_a] :
% 27.83/28.01 ( class_Groups_Ocomm__monoid__add(T_a)
% 27.83/28.01 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_plus__nat_Oadd__0,axiom,
% 27.83/28.01 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 27.83/28.01
% 27.83/28.01 fof(fact_Nat_Oadd__0__right,axiom,
% 27.83/28.01 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 27.83/28.01
% 27.83/28.01 fof(fact_add__is__0,axiom,
% 27.83/28.01 ! [V_n_2,V_m_2] :
% 27.83/28.01 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.01 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.01 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_add__eq__self__zero,axiom,
% 27.83/28.01 ! [V_n,V_m] :
% 27.83/28.01 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 27.83/28.01 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_add__Suc__right,axiom,
% 27.83/28.01 ! [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)) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_add__Suc,axiom,
% 27.83/28.01 ! [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)) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_add__Suc__shift,axiom,
% 27.83/28.01 ! [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)) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_not__less0,axiom,
% 27.83/28.01 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_neq0__conv,axiom,
% 27.83/28.01 ! [V_n_2] :
% 27.83/28.01 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_less__nat__zero__code,axiom,
% 27.83/28.01 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_gr__implies__not0,axiom,
% 27.83/28.01 ! [V_n,V_m] :
% 27.83/28.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 27.83/28.01 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_gr0I,axiom,
% 27.83/28.01 ! [V_n] :
% 27.83/28.01 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_not__less__eq,axiom,
% 27.83/28.01 ! [V_n_2,V_m_2] :
% 27.83/28.01 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_less__Suc__eq,axiom,
% 27.83/28.01 ! [V_n_2,V_m_2] :
% 27.83/28.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 27.83/28.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.01 | V_m_2 = V_n_2 ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_Suc__less__eq,axiom,
% 27.83/28.01 ! [V_n_2,V_m_2] :
% 27.83/28.01 ( 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)))
% 27.83/28.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_not__less__less__Suc__eq,axiom,
% 27.83/28.01 ! [V_m_2,V_n_2] :
% 27.83/28.01 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 27.83/28.01 <=> V_n_2 = V_m_2 ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_less__antisym,axiom,
% 27.83/28.01 ! [V_m,V_n] :
% 27.83/28.01 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 27.83/28.01 => V_m = V_n ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_less__SucI,axiom,
% 27.83/28.01 ! [V_n,V_m] :
% 27.83/28.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 27.83/28.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_Suc__lessI,axiom,
% 27.83/28.01 ! [V_n,V_m] :
% 27.83/28.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 27.83/28.01 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 27.83/28.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_less__trans__Suc,axiom,
% 27.83/28.01 ! [V_k,V_j,V_i] :
% 27.83/28.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 27.83/28.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_less__SucE,axiom,
% 27.83/28.01 ! [V_n,V_m] :
% 27.83/28.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 27.83/28.01 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 27.83/28.01 => V_m = V_n ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_Suc__lessD,axiom,
% 27.83/28.01 ! [V_n,V_m] :
% 27.83/28.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 27.83/28.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_Suc__less__SucD,axiom,
% 27.83/28.01 ! [V_n,V_m] :
% 27.83/28.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 27.83/28.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I30_J,axiom,
% 27.83/28.01 ! [V_pname_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I31_J,axiom,
% 27.83/28.01 ! [V_fun_2,V_vname_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I63_J,axiom,
% 27.83/28.01 ! [V_pname_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != hAPP(c_Com_Ocom_OBODY,V_pname_2) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I62_J,axiom,
% 27.83/28.01 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_pname_2] : hAPP(c_Com_Ocom_OBODY,V_pname_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I24_J,axiom,
% 27.83/28.01 ! [V_com2_H_2,V_com1_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I25_J,axiom,
% 27.83/28.01 ! [V_fun_2,V_vname_2,V_com2_H_2,V_com1_H_2] : c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I8_J,axiom,
% 27.83/28.01 ! [V_fun_H_2,V_vname_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(V_vname_H_2,V_fun_H_2) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I9_J,axiom,
% 27.83/28.01 ! [V_fun_H_2,V_vname_H_2] : c_Com_Ocom_OAss(V_vname_H_2,V_fun_H_2) != c_Com_Ocom_OSKIP ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I50_J,axiom,
% 27.83/28.01 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_com2_2,V_com1_2] : c_Com_Ocom_OSemi(V_com1_2,V_com2_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I51_J,axiom,
% 27.83/28.01 ! [V_com2_2,V_com1_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OSemi(V_com1_2,V_com2_2) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I20_J,axiom,
% 27.83/28.01 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I21_J,axiom,
% 27.83/28.01 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OSKIP ).
% 27.83/28.01
% 27.83/28.01 fof(fact_add__is__1,axiom,
% 27.83/28.01 ! [V_n_2,V_m_2] :
% 27.83/28.01 ( 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))
% 27.83/28.01 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 27.83/28.01 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 27.83/28.01 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.01 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_one__is__add,axiom,
% 27.83/28.01 ! [V_n_2,V_m_2] :
% 27.83/28.01 ( 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)
% 27.83/28.01 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 27.83/28.01 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 27.83/28.01 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.01 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_less__Suc__eq__0__disj,axiom,
% 27.83/28.01 ! [V_n_2,V_m_2] :
% 27.83/28.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 27.83/28.01 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.01 | ? [B_j] :
% 27.83/28.01 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 27.83/28.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_less__Suc0,axiom,
% 27.83/28.01 ! [V_n_2] :
% 27.83/28.01 ( 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))))
% 27.83/28.01 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_gr0__conv__Suc,axiom,
% 27.83/28.01 ! [V_n_2] :
% 27.83/28.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 27.83/28.01 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_nat__case__0,axiom,
% 27.83/28.01 ! [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 ).
% 27.83/28.01
% 27.83/28.01 fof(fact_even__less__0__iff,axiom,
% 27.83/28.01 ! [V_a_2,T_b] :
% 27.83/28.01 ( class_Rings_Olinordered__idom(T_b)
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_pos__add__strict,axiom,
% 27.83/28.01 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.01 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 27.83/28.01 => 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))) ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_termination__basic__simps_I1_J,axiom,
% 27.83/28.01 ! [V_z,V_y,V_x] :
% 27.83/28.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 27.83/28.01 => 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))) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_termination__basic__simps_I2_J,axiom,
% 27.83/28.01 ! [V_y,V_z,V_x] :
% 27.83/28.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 27.83/28.01 => 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))) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 27.83/28.01 ! [V_a,T_a] :
% 27.83/28.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.01 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 27.83/28.01 ! [V_a,T_a] :
% 27.83/28.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.01 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_add__0__iff,axiom,
% 27.83/28.01 ! [V_a_2,V_b_2,T_b] :
% 27.83/28.01 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 27.83/28.01 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2)
% 27.83/28.01 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_double__eq__0__iff,axiom,
% 27.83/28.01 ! [V_a_2,T_b] :
% 27.83/28.01 ( class_Groups_Olinordered__ab__group__add(T_b)
% 27.83/28.01 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.01 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osize_I5_J,axiom,
% 27.83/28.01 ! [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))) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osize_I13_J,axiom,
% 27.83/28.01 ! [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))) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osize_I3_J,axiom,
% 27.83/28.01 ! [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))) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_evaln_OIfFalse,axiom,
% 27.83/28.01 ! [V_c0_2,V_s1_2,V_n_2,V_c1_2,V_s_2,V_b_2] :
% 27.83/28.01 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 27.83/28.01 => ( c_Natural_Oevaln(V_c1_2,V_s_2,V_n_2,V_s1_2)
% 27.83/28.01 => c_Natural_Oevaln(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2),V_s_2,V_n_2,V_s1_2) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_evaln_OIfTrue,axiom,
% 27.83/28.01 ! [V_c1_2,V_s1_2,V_n_2,V_c0_2,V_s_2,V_b_2] :
% 27.83/28.01 ( hBOOL(hAPP(V_b_2,V_s_2))
% 27.83/28.01 => ( c_Natural_Oevaln(V_c0_2,V_s_2,V_n_2,V_s1_2)
% 27.83/28.01 => c_Natural_Oevaln(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2),V_s_2,V_n_2,V_s1_2) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_evaln__elim__cases_I5_J,axiom,
% 27.83/28.01 ! [V_t_2,V_n_2,V_s_2,V_c2_2,V_c1_2,V_b_2] :
% 27.83/28.01 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2),V_s_2,V_n_2,V_t_2)
% 27.83/28.01 => ( ( hBOOL(hAPP(V_b_2,V_s_2))
% 27.83/28.01 => ~ c_Natural_Oevaln(V_c1_2,V_s_2,V_n_2,V_t_2) )
% 27.83/28.01 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 27.83/28.01 => ~ c_Natural_Oevaln(V_c2_2,V_s_2,V_n_2,V_t_2) ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_evalc__elim__cases_I5_J,axiom,
% 27.83/28.01 ! [V_t_2,V_s_2,V_c2_2,V_c1_2,V_b_2] :
% 27.83/28.01 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2)),V_s_2),V_t_2))
% 27.83/28.01 => ( ( hBOOL(hAPP(V_b_2,V_s_2))
% 27.83/28.01 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_t_2)) )
% 27.83/28.01 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 27.83/28.01 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2_2),V_s_2),V_t_2)) ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_evalc_OIfTrue,axiom,
% 27.83/28.01 ! [V_c1_2,V_s1_2,V_c0_2,V_s_2,V_b_2] :
% 27.83/28.01 ( hBOOL(hAPP(V_b_2,V_s_2))
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0_2),V_s_2),V_s1_2))
% 27.83/28.01 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)),V_s_2),V_s1_2)) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_evalc_OIfFalse,axiom,
% 27.83/28.01 ! [V_c0_2,V_s1_2,V_c1_2,V_s_2,V_b_2] :
% 27.83/28.01 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_s1_2))
% 27.83/28.01 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)),V_s_2),V_s1_2)) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I37_J,axiom,
% 27.83/28.01 ! [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) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I36_J,axiom,
% 27.83/28.01 ! [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) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I4_J,axiom,
% 27.83/28.01 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] :
% 27.83/28.01 ( 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)
% 27.83/28.01 <=> ( V_fun_2 = V_fun_H_2
% 27.83/28.01 & V_com1_2 = V_com1_H_2
% 27.83/28.01 & V_com2_2 = V_com2_H_2 ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I2_J,axiom,
% 27.83/28.01 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] :
% 27.83/28.01 ( 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)
% 27.83/28.01 <=> ( V_loc_2 = V_loc_H_2
% 27.83/28.01 & V_fun_2 = V_fun_H_2
% 27.83/28.01 & V_com_2 = V_com_H_2 ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_not__psubset__empty,axiom,
% 27.83/28.01 ! [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)))) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_evaln_Oequations_I5_J,axiom,
% 27.83/28.01 ! [V_a5_2,V_a4_2,V_a2_2,V_a6_2,V_a3_2,V_a1_2] :
% 27.83/28.01 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_a1_2,V_a3_2,V_a6_2),V_a2_2,V_a4_2,V_a5_2)
% 27.83/28.01 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 27.83/28.01 & c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,V_a5_2) )
% 27.83/28.01 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 27.83/28.01 & c_Natural_Oevaln(V_a6_2,V_a2_2,V_a4_2,V_a5_2) ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_evaln_Oequations_I6_J,axiom,
% 27.83/28.01 ! [V_a5_2,V_a4_2,V_a2_2,V_a3_2,V_a6_2,V_a1_2] :
% 27.83/28.01 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_a1_2,V_a6_2,V_a3_2),V_a2_2,V_a4_2,V_a5_2)
% 27.83/28.01 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 27.83/28.01 & c_Natural_Oevaln(V_a6_2,V_a2_2,V_a4_2,V_a5_2) )
% 27.83/28.01 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 27.83/28.01 & c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,V_a5_2) ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I41_J,axiom,
% 27.83/28.01 ! [V_com_2,V_fun_2,V_loc_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I40_J,axiom,
% 27.83/28.01 ! [V_pname_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_evalc_Oequations_I6_J,axiom,
% 27.83/28.01 ! [V_a4_2,V_a2_2,V_a3_2,V_a5_2,V_a1_2] :
% 27.83/28.01 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_a1_2,V_a5_2,V_a3_2)),V_a2_2),V_a4_2))
% 27.83/28.01 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 27.83/28.01 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) )
% 27.83/28.01 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 27.83/28.01 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_evalc_Oequations_I5_J,axiom,
% 27.83/28.01 ! [V_a4_2,V_a2_2,V_a5_2,V_a3_2,V_a1_2] :
% 27.83/28.01 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_a1_2,V_a3_2,V_a5_2)),V_a2_2),V_a4_2))
% 27.83/28.01 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 27.83/28.01 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) )
% 27.83/28.01 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 27.83/28.01 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I55_J,axiom,
% 27.83/28.01 ! [V_com2_2,V_com1_2,V_fun_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I54_J,axiom,
% 27.83/28.01 ! [V_pname_H_2,V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I22_J,axiom,
% 27.83/28.01 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I23_J,axiom,
% 27.83/28.01 ! [V_fun_2,V_vname_2,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_OAss(V_vname_2,V_fun_2) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I34_J,axiom,
% 27.83/28.01 ! [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) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I35_J,axiom,
% 27.83/28.01 ! [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) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I43_J,axiom,
% 27.83/28.01 ! [V_com_2,V_fun_2,V_loc_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I42_J,axiom,
% 27.83/28.01 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I11_J,axiom,
% 27.83/28.01 ! [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 ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I10_J,axiom,
% 27.83/28.01 ! [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) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I26_J,axiom,
% 27.83/28.01 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I27_J,axiom,
% 27.83/28.01 ! [V_fun_2,V_vname_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_OAss(V_vname_2,V_fun_2) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I45_J,axiom,
% 27.83/28.01 ! [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) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I44_J,axiom,
% 27.83/28.01 ! [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) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I57_J,axiom,
% 27.83/28.01 ! [V_com2_2,V_com1_2,V_fun_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I56_J,axiom,
% 27.83/28.01 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I15_J,axiom,
% 27.83/28.01 ! [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 ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osimps_I14_J,axiom,
% 27.83/28.01 ! [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) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_linorder__neqE__linordered__idom,axiom,
% 27.83/28.01 ! [V_y,V_x,T_a] :
% 27.83/28.01 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.01 => ( V_x != V_y
% 27.83/28.01 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 27.83/28.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 27.83/28.01 ! [V_d,V_c,V_b,V_a,T_a] :
% 27.83/28.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.01 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d)) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 27.83/28.01 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.01 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),V_b) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 27.83/28.01 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.01 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 27.83/28.01 ! [V_d,V_c,V_a,T_a] :
% 27.83/28.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.01 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),V_d) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 27.83/28.01 ! [V_d,V_c,V_a,T_a] :
% 27.83/28.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.01 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_d)) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 27.83/28.01 ! [V_c,V_a,T_a] :
% 27.83/28.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.01 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osize_I11_J,axiom,
% 27.83/28.01 ! [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))) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osize_I14_J,axiom,
% 27.83/28.01 ! [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))) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_com_Osize_I6_J,axiom,
% 27.83/28.01 ! [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))) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_nat_Osize_I2_J,axiom,
% 27.83/28.01 ! [V_nat] : c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc,V_nat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Nat_Onat_Onat__size(V_nat)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_of__nat__0__less__iff,axiom,
% 27.83/28.01 ! [V_n_2,T_b] :
% 27.83/28.01 ( class_Rings_Olinordered__semidom(T_b)
% 27.83/28.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)))
% 27.83/28.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_nat_Osize_I4_J,axiom,
% 27.83/28.01 ! [V_nat] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_nat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_nat)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 27.83/28.01
% 27.83/28.01 fof(fact_hoare__derivs_OIf,axiom,
% 27.83/28.02 ! [V_d_2,V_Qa_2,V_c_2,V_b_2,V_Pa_2,V_Ga_2,T_b] :
% 27.83/28.02 ( 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))))
% 27.83/28.02 => ( 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))))
% 27.83/28.02 => 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)))) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_less__imp__Suc__add,axiom,
% 27.83/28.02 ! [V_n,V_m] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 27.83/28.02 => ? [B_k] : V_n = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),B_k)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_less__imp__add__positive,axiom,
% 27.83/28.02 ! [V_j,V_i] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 27.83/28.02 => ? [B_k] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_k))
% 27.83/28.02 & hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),B_k) = V_j ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_gr0__implies__Suc,axiom,
% 27.83/28.02 ! [V_n] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 27.83/28.02 => ? [B_m] : V_n = hAPP(c_Nat_OSuc,B_m) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_lift__Suc__mono__less,axiom,
% 27.83/28.02 ! [V_n_H_2,V_n_2,V_f_2,T_b] :
% 27.83/28.02 ( class_Orderings_Oorder(T_b)
% 27.83/28.02 => ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_n)),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_n))))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_n_H_2))
% 27.83/28.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,V_n_2)),hAPP(V_f_2,V_n_H_2))) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_lift__Suc__mono__less__iff,axiom,
% 27.83/28.02 ! [V_m_2,V_n_2,V_f_2,T_b] :
% 27.83/28.02 ( class_Orderings_Oorder(T_b)
% 27.83/28.02 => ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_n)),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_n))))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,V_n_2)),hAPP(V_f_2,V_m_2)))
% 27.83/28.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_evaln_OWhileTrue,axiom,
% 27.83/28.02 ! [V_s2_2,V_s1_2,V_n_2,V_c_2,V_s0_2,V_b_2] :
% 27.83/28.02 ( hBOOL(hAPP(V_b_2,V_s0_2))
% 27.83/28.02 => ( c_Natural_Oevaln(V_c_2,V_s0_2,V_n_2,V_s1_2)
% 27.83/28.02 => ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s1_2,V_n_2,V_s2_2)
% 27.83/28.02 => c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s0_2,V_n_2,V_s2_2) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_evaln_OWhileFalse,axiom,
% 27.83/28.02 ! [V_n_2,V_c_2,V_s_2,V_b_2] :
% 27.83/28.02 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 27.83/28.02 => c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s_2,V_n_2,V_s_2) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_evalc_OWhileFalse,axiom,
% 27.83/28.02 ! [V_c_2,V_s_2,V_b_2] :
% 27.83/28.02 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 27.83/28.02 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s_2),V_s_2)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_evalc_OWhileTrue,axiom,
% 27.83/28.02 ! [V_s2_2,V_s1_2,V_c_2,V_s0_2,V_b_2] :
% 27.83/28.02 ( hBOOL(hAPP(V_b_2,V_s0_2))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c_2),V_s0_2),V_s1_2))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s1_2),V_s2_2))
% 27.83/28.02 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s0_2),V_s2_2)) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_psubset__trans,axiom,
% 27.83/28.02 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 27.83/28.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_comp__cong,axiom,
% 27.83/28.02 ! [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] :
% 27.83/28.02 ( 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))
% 27.83/28.02 => 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) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_nat__size,axiom,
% 27.83/28.02 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 27.83/28.02
% 27.83/28.02 fof(fact_com_Osimps_I5_J,axiom,
% 27.83/28.02 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] :
% 27.83/28.02 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2)
% 27.83/28.02 <=> ( V_fun_2 = V_fun_H_2
% 27.83/28.02 & V_com_2 = V_com_H_2 ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_of__nat__eq__iff,axiom,
% 27.83/28.02 ! [V_n_2,V_m_2,T_b] :
% 27.83/28.02 ( class_Nat_Osemiring__char__0(T_b)
% 27.83/28.02 => ( 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)
% 27.83/28.02 <=> V_m_2 = V_n_2 ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_int__eq__0__conv,axiom,
% 27.83/28.02 ! [V_n_2] :
% 27.83/28.02 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.02 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_int__0,axiom,
% 27.83/28.02 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) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zless__iff__Suc__zadd,axiom,
% 27.83/28.02 ! [V_z_2,V_w_2] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 27.83/28.02 <=> ? [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))) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zless__int,axiom,
% 27.83/28.02 ! [V_n_2,V_m_2] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)))
% 27.83/28.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zadd__int__left,axiom,
% 27.83/28.02 ! [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) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zadd__int,axiom,
% 27.83/28.02 ! [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)) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_nat_Osize_I3_J,axiom,
% 27.83/28.02 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) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_evaln_Oequations_I8_J,axiom,
% 27.83/28.02 ! [V_a6_2,V_a4_2,V_a2_2,V_a3_2,V_a1_2] :
% 27.83/28.02 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),V_a2_2,V_a4_2,V_a6_2)
% 27.83/28.02 <=> ( ( V_a6_2 = V_a2_2
% 27.83/28.02 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) )
% 27.83/28.02 | ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 27.83/28.02 & ? [B_s1] :
% 27.83/28.02 ( c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,B_s1)
% 27.83/28.02 & c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),B_s1,V_a4_2,V_a6_2) ) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_evaln_Oequations_I7_J,axiom,
% 27.83/28.02 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2] :
% 27.83/28.02 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),V_a2_2,V_a4_2,V_a2_2)
% 27.83/28.02 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 27.83/28.02 => ? [B_s1] :
% 27.83/28.02 ( c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,B_s1)
% 27.83/28.02 & c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),B_s1,V_a4_2,V_a2_2) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_evalc_Oequations_I7_J,axiom,
% 27.83/28.02 ! [V_a2_2,V_a3_2,V_a1_2] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a2_2))
% 27.83/28.02 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 27.83/28.02 => ? [B_s1] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1))
% 27.83/28.02 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a2_2)) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_evalc_Oequations_I8_J,axiom,
% 27.83/28.02 ! [V_a5_2,V_a2_2,V_a3_2,V_a1_2] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a5_2))
% 27.83/28.02 <=> ( ( V_a5_2 = V_a2_2
% 27.83/28.02 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) )
% 27.83/28.02 | ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 27.83/28.02 & ? [B_s1] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1))
% 27.83/28.02 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a5_2)) ) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_nat_Osize_I1_J,axiom,
% 27.83/28.02 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_com_Osimps_I58_J,axiom,
% 27.83/28.02 ! [V_pname_H_2,V_com_2,V_fun_2] : c_Com_Ocom_OWhile(V_fun_2,V_com_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_com_Osimps_I59_J,axiom,
% 27.83/28.02 ! [V_com_2,V_fun_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OWhile(V_fun_2,V_com_2) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_com_Osimps_I52_J,axiom,
% 27.83/28.02 ! [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) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_com_Osimps_I53_J,axiom,
% 27.83/28.02 ! [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) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_com_Osimps_I29_J,axiom,
% 27.83/28.02 ! [V_fun_2,V_vname_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_com_Osimps_I28_J,axiom,
% 27.83/28.02 ! [V_com_H_2,V_fun_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_com_Osimps_I61_J,axiom,
% 27.83/28.02 ! [V_com_2,V_fun_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OWhile(V_fun_2,V_com_2) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_com_Osimps_I60_J,axiom,
% 27.83/28.02 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_com_2,V_fun_2] : c_Com_Ocom_OWhile(V_fun_2,V_com_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_com_Osimps_I46_J,axiom,
% 27.83/28.02 ! [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) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_com_Osimps_I47_J,axiom,
% 27.83/28.02 ! [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) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_com_Osimps_I38_J,axiom,
% 27.83/28.02 ! [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) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_com_Osimps_I39_J,axiom,
% 27.83/28.02 ! [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) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_com_Osimps_I16_J,axiom,
% 27.83/28.02 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_com_Osimps_I17_J,axiom,
% 27.83/28.02 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ).
% 27.83/28.02
% 27.83/28.02 fof(fact_Loop,axiom,
% 27.83/28.02 ! [V_c_2,V_b_2,V_Pa_2,V_Ga_2,T_b] :
% 27.83/28.02 ( 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))))
% 27.83/28.02 => 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)))) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zero__less__int__conv,axiom,
% 27.83/28.02 ! [V_n_2] :
% 27.83/28.02 ( 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)))
% 27.83/28.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_of__nat__less__0__iff,axiom,
% 27.83/28.02 ! [V_m,T_a] :
% 27.83/28.02 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.02 => ~ 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))) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_of__nat__0,axiom,
% 27.83/28.02 ! [T_a] :
% 27.83/28.02 ( class_Rings_Osemiring__1(T_a)
% 27.83/28.02 => 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) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_of__nat__less__imp__less,axiom,
% 27.83/28.02 ! [V_n,V_m,T_a] :
% 27.83/28.02 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.02 => ( 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)))
% 27.83/28.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_less__imp__of__nat__less,axiom,
% 27.83/28.02 ! [V_n,V_m,T_a] :
% 27.83/28.02 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 27.83/28.02 => 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))) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_of__nat__less__iff,axiom,
% 27.83/28.02 ! [V_n_2,V_m_2,T_b] :
% 27.83/28.02 ( class_Rings_Olinordered__semidom(T_b)
% 27.83/28.02 => ( 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)))
% 27.83/28.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_of__nat__add,axiom,
% 27.83/28.02 ! [V_n,V_m,T_a] :
% 27.83/28.02 ( class_Rings_Osemiring__1(T_a)
% 27.83/28.02 => 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)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_bool_Osize_I1_J,axiom,
% 27.83/28.02 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_bool_Osize_I2_J,axiom,
% 27.83/28.02 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_bool_Osize_I3_J,axiom,
% 27.83/28.02 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_bool_Osize_I4_J,axiom,
% 27.83/28.02 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_o__assoc,axiom,
% 27.83/28.02 ! [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) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_o__apply,axiom,
% 27.83/28.02 ! [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)) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_o__eq__dest__lhs,axiom,
% 27.83/28.02 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 27.83/28.02 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2
% 27.83/28.02 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_o__eq__dest,axiom,
% 27.83/28.02 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 27.83/28.02 ( 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)
% 27.83/28.02 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_o__eq__elim,axiom,
% 27.83/28.02 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 27.83/28.02 ( 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)
% 27.83/28.02 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 27.83/28.02 ! [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)) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 27.83/28.02 ! [V_y_2,V_x_2] :
% 27.83/28.02 ( 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)))
% 27.83/28.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_int__less__0__conv,axiom,
% 27.83/28.02 ! [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))) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zless__linear,axiom,
% 27.83/28.02 ! [V_y,V_x] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 27.83/28.02 | V_x = V_y
% 27.83/28.02 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zadd__strict__right__mono,axiom,
% 27.83/28.02 ! [V_k,V_j,V_i] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 27.83/28.02 => 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))) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_int__int__eq,axiom,
% 27.83/28.02 ! [V_n_2,V_m_2] :
% 27.83/28.02 ( 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)
% 27.83/28.02 <=> V_m_2 = V_n_2 ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 27.83/28.02 ! [V_y_2,V_x_2] :
% 27.83/28.02 ( 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)
% 27.83/28.02 <=> V_x_2 = V_y_2 ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zadd__assoc,axiom,
% 27.83/28.02 ! [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)) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zadd__left__commute,axiom,
% 27.83/28.02 ! [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)) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zadd__commute,axiom,
% 27.83/28.02 ! [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) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zadd__0__right,axiom,
% 27.83/28.02 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zadd__0,axiom,
% 27.83/28.02 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 27.83/28.02
% 27.83/28.02 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 27.83/28.02 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)) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zero__less__imp__eq__int,axiom,
% 27.83/28.02 ! [V_k] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 27.83/28.02 => ? [B_n] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 27.83/28.02 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_of__int__less__0__iff,axiom,
% 27.83/28.02 ! [V_z_2,T_b] :
% 27.83/28.02 ( class_Rings_Olinordered__idom(T_b)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_of__int__0__less__iff,axiom,
% 27.83/28.02 ! [V_z_2,T_b] :
% 27.83/28.02 ( class_Rings_Olinordered__idom(T_b)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 27.83/28.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zmult__zless__mono2__lemma,axiom,
% 27.83/28.02 ! [V_k,V_j,V_i] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 27.83/28.02 => 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))) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_negative__zless__0,axiom,
% 27.83/28.02 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_split__nat,axiom,
% 27.83/28.02 ! [V_i_2,V_Pa_2] :
% 27.83/28.02 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2)))
% 27.83/28.02 <=> ( ! [B_n] :
% 27.83/28.02 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 27.83/28.02 => hBOOL(hAPP(V_Pa_2,B_n)) )
% 27.83/28.02 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.02 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zero__less__nat__eq,axiom,
% 27.83/28.02 ! [V_z_2] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onat,V_z_2)))
% 27.83/28.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_negative__zless,axiom,
% 27.83/28.02 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n)))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m))) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_funpow__add,axiom,
% 27.83/28.02 ! [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)) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_funpow_Osimps_I2_J,axiom,
% 27.83/28.02 ! [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)) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_square__eq__iff,axiom,
% 27.83/28.02 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.02 ( class_Rings_Oidom(T_b)
% 27.83/28.02 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_b_2)
% 27.83/28.02 <=> ( V_a_2 = V_b_2
% 27.83/28.02 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 27.83/28.02 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 27.83/28.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.02 => 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)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 27.83/28.02 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 27.83/28.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.02 => 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)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 27.83/28.02 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 27.83/28.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.02 => 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))) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 27.83/28.02 ! [V_rx,V_ly,V_lx,T_a] :
% 27.83/28.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.02 => 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) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zmult__assoc,axiom,
% 27.83/28.02 ! [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)) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 27.83/28.02 ! [V_rx,V_ly,V_lx,T_a] :
% 27.83/28.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.02 => 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)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_minus__mult__minus,axiom,
% 27.83/28.02 ! [V_b,V_a,T_a] :
% 27.83/28.02 ( class_Rings_Oring(T_a)
% 27.83/28.02 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_of__int__eq__iff,axiom,
% 27.83/28.02 ! [V_z_2,V_w_2,T_b] :
% 27.83/28.02 ( class_Int_Oring__char__0(T_b)
% 27.83/28.02 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 27.83/28.02 <=> V_w_2 = V_z_2 ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_minus__mult__commute,axiom,
% 27.83/28.02 ! [V_b,V_a,T_a] :
% 27.83/28.02 ( class_Rings_Oring(T_a)
% 27.83/28.02 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zmult__zminus,axiom,
% 27.83/28.02 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),V_w) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w)) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 27.83/28.02 ! [V_ry,V_rx,V_lx,T_a] :
% 27.83/28.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.02 => 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) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 27.83/28.02 ! [V_ry,V_rx,V_lx,T_a] :
% 27.83/28.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.02 => 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)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zmult__commute,axiom,
% 27.83/28.02 ! [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) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 27.83/28.02 ! [V_b,V_a,T_a] :
% 27.83/28.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.02 => 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) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_of__int__mult,axiom,
% 27.83/28.02 ! [V_z,V_w,T_a] :
% 27.83/28.02 ( class_Rings_Oring__1(T_a)
% 27.83/28.02 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_minus__mult__left,axiom,
% 27.83/28.02 ! [V_b,V_a,T_a] :
% 27.83/28.02 ( class_Rings_Oring(T_a)
% 27.83/28.02 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_minus__mult__right,axiom,
% 27.83/28.02 ! [V_b,V_a,T_a] :
% 27.83/28.02 ( class_Rings_Oring(T_a)
% 27.83/28.02 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_of__int__minus,axiom,
% 27.83/28.02 ! [V_z,T_a] :
% 27.83/28.02 ( class_Rings_Oring__1(T_a)
% 27.83/28.02 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zminus__zminus,axiom,
% 27.83/28.02 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 27.83/28.02
% 27.83/28.02 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 27.83/28.02 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.02 ( class_Groups_Oab__semigroup__mult(T_a)
% 27.83/28.02 => 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)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_neg__equal__iff__equal,axiom,
% 27.83/28.02 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.02 ( class_Groups_Ogroup__add(T_b)
% 27.83/28.02 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 27.83/28.02 <=> V_a_2 = V_b_2 ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_minus__equation__iff,axiom,
% 27.83/28.02 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.02 ( class_Groups_Ogroup__add(T_b)
% 27.83/28.02 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2
% 27.83/28.02 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_equation__minus__iff,axiom,
% 27.83/28.02 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.02 ( class_Groups_Ogroup__add(T_b)
% 27.83/28.02 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 27.83/28.02 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_minus__minus,axiom,
% 27.83/28.02 ! [V_a,T_a] :
% 27.83/28.02 ( class_Groups_Ogroup__add(T_a)
% 27.83/28.02 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_funpow__swap1,axiom,
% 27.83/28.02 ! [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)) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_of__nat__mult,axiom,
% 27.83/28.02 ! [V_n,V_m,T_a] :
% 27.83/28.02 ( class_Rings_Osemiring__1(T_a)
% 27.83/28.02 => 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)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_of__int__of__nat,axiom,
% 27.83/28.02 ! [V_k,T_a] :
% 27.83/28.02 ( class_Rings_Oring__1(T_a)
% 27.83/28.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.02 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k)))) )
% 27.83/28.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.02 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_k)) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_comp__funpow,axiom,
% 27.83/28.02 ! [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)) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_nat__zminus__int,axiom,
% 27.83/28.02 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_minus__zero,axiom,
% 27.83/28.02 ! [T_a] :
% 27.83/28.02 ( class_Groups_Ogroup__add(T_a)
% 27.83/28.02 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_neg__0__equal__iff__equal,axiom,
% 27.83/28.02 ! [V_a_2,T_b] :
% 27.83/28.02 ( class_Groups_Ogroup__add(T_b)
% 27.83/28.02 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 27.83/28.02 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_equal__neg__zero,axiom,
% 27.83/28.02 ! [V_a_2,T_b] :
% 27.83/28.02 ( class_Groups_Olinordered__ab__group__add(T_b)
% 27.83/28.02 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 27.83/28.02 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_neg__equal__0__iff__equal,axiom,
% 27.83/28.02 ! [V_a_2,T_b] :
% 27.83/28.02 ( class_Groups_Ogroup__add(T_b)
% 27.83/28.02 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.02 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_neg__equal__zero,axiom,
% 27.83/28.02 ! [V_a_2,T_b] :
% 27.83/28.02 ( class_Groups_Olinordered__ab__group__add(T_b)
% 27.83/28.02 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2
% 27.83/28.02 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_neg__less__iff__less,axiom,
% 27.83/28.02 ! [V_a_2,V_b_2,T_b] :
% 27.83/28.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 27.83/28.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_minus__less__iff,axiom,
% 27.83/28.02 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 27.83/28.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_less__minus__iff,axiom,
% 27.83/28.02 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 27.83/28.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_minus__add__cancel,axiom,
% 27.83/28.02 ! [V_b,V_a,T_a] :
% 27.83/28.02 ( class_Groups_Ogroup__add(T_a)
% 27.83/28.02 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)) = V_b ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_add__minus__cancel,axiom,
% 27.83/28.02 ! [V_b,V_a,T_a] :
% 27.83/28.02 ( class_Groups_Ogroup__add(T_a)
% 27.83/28.02 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) = V_b ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_minus__add,axiom,
% 27.83/28.02 ! [V_b,V_a,T_a] :
% 27.83/28.02 ( class_Groups_Ogroup__add(T_a)
% 27.83/28.02 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_minus__add__distrib,axiom,
% 27.83/28.02 ! [V_b,V_a,T_a] :
% 27.83/28.02 ( class_Groups_Oab__group__add(T_a)
% 27.83/28.02 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_mult__zero__left,axiom,
% 27.83/28.02 ! [V_a,T_a] :
% 27.83/28.02 ( class_Rings_Omult__zero(T_a)
% 27.83/28.02 => 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) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 27.83/28.02 ! [V_a,T_a] :
% 27.83/28.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.02 => 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) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_mult__zero__right,axiom,
% 27.83/28.02 ! [V_a,T_a] :
% 27.83/28.02 ( class_Rings_Omult__zero(T_a)
% 27.83/28.02 => 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) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 27.83/28.02 ! [V_a,T_a] :
% 27.83/28.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.02 => 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) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_mult__eq__0__iff,axiom,
% 27.83/28.02 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.02 ( class_Rings_Oring__no__zero__divisors(T_b)
% 27.83/28.02 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.02 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.02 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_no__zero__divisors,axiom,
% 27.83/28.02 ! [V_b,V_a,T_a] :
% 27.83/28.02 ( class_Rings_Ono__zero__divisors(T_a)
% 27.83/28.02 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.02 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.02 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_divisors__zero,axiom,
% 27.83/28.02 ! [V_b,V_a,T_a] :
% 27.83/28.02 ( class_Rings_Ono__zero__divisors(T_a)
% 27.83/28.02 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.02 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.02 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zminus__0,axiom,
% 27.83/28.02 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_nat__int,axiom,
% 27.83/28.02 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 27.83/28.02
% 27.83/28.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 27.83/28.02 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.02 => 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)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_crossproduct__noteq,axiom,
% 27.83/28.02 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 27.83/28.02 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 27.83/28.02 => ( ( V_a_2 != V_b_2
% 27.83/28.02 & V_c_2 != V_d_2 )
% 27.83/28.02 <=> 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)) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_comm__semiring__class_Odistrib,axiom,
% 27.83/28.02 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.02 ( class_Rings_Ocomm__semiring(T_a)
% 27.83/28.02 => 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)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 27.83/28.02 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.02 => 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)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 27.83/28.02 ! [V_b,V_m,V_a,T_a] :
% 27.83/28.02 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.02 => 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) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_combine__common__factor,axiom,
% 27.83/28.02 ! [V_c,V_b,V_e,V_a,T_a] :
% 27.83/28.02 ( class_Rings_Osemiring(T_a)
% 27.83/28.02 => 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) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_crossproduct__eq,axiom,
% 27.83/28.02 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] :
% 27.83/28.02 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 27.83/28.02 => ( 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))
% 27.83/28.02 <=> ( V_w_2 = V_x_2
% 27.83/28.02 | V_y_2 = V_z_2 ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zminus__zadd__distrib,axiom,
% 27.83/28.02 ! [V_w,V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zadd__zmult__distrib2,axiom,
% 27.83/28.02 ! [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)) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zadd__zmult__distrib,axiom,
% 27.83/28.02 ! [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)) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_of__int__int__eq,axiom,
% 27.83/28.02 ! [V_n] : hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_neg__less__nonneg,axiom,
% 27.83/28.02 ! [V_a_2,T_b] :
% 27.83/28.02 ( class_Groups_Olinordered__ab__group__add(T_b)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 27.83/28.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_neg__less__0__iff__less,axiom,
% 27.83/28.02 ! [V_a_2,T_b] :
% 27.83/28.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_neg__0__less__iff__less,axiom,
% 27.83/28.02 ! [V_a_2,T_b] :
% 27.83/28.02 ( class_Groups_Oordered__ab__group__add(T_b)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 27.83/28.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_less__minus__self__iff,axiom,
% 27.83/28.02 ! [V_a_2,T_b] :
% 27.83/28.02 ( class_Rings_Olinordered__idom(T_b)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 27.83/28.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_minus__unique,axiom,
% 27.83/28.02 ! [V_b,V_a,T_a] :
% 27.83/28.02 ( class_Groups_Ogroup__add(T_a)
% 27.83/28.02 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.02 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_ab__left__minus,axiom,
% 27.83/28.02 ! [V_a,T_a] :
% 27.83/28.02 ( class_Groups_Oab__group__add(T_a)
% 27.83/28.02 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_left__minus,axiom,
% 27.83/28.02 ! [V_a,T_a] :
% 27.83/28.02 ( class_Groups_Ogroup__add(T_a)
% 27.83/28.02 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 27.83/28.02 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.02 ( class_Groups_Ogroup__add(T_b)
% 27.83/28.02 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 27.83/28.02 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_right__minus,axiom,
% 27.83/28.02 ! [V_a,T_a] :
% 27.83/28.02 ( class_Groups_Ogroup__add(T_a)
% 27.83/28.02 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_nat__0,axiom,
% 27.83/28.02 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 27.83/28.02 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_not__square__less__zero,axiom,
% 27.83/28.02 ! [V_a,T_a] :
% 27.83/28.02 ( class_Rings_Olinordered__ring(T_a)
% 27.83/28.02 => ~ 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))) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_mult__less__cancel__right__disj,axiom,
% 27.83/28.02 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 27.83/28.02 ( class_Rings_Olinordered__ring__strict(T_b)
% 27.83/28.02 => ( 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)))
% 27.83/28.02 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 27.83/28.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 27.83/28.02 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_mult__less__cancel__left__disj,axiom,
% 27.83/28.02 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 27.83/28.02 ( class_Rings_Olinordered__ring__strict(T_b)
% 27.83/28.02 => ( 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)))
% 27.83/28.02 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 27.83/28.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 27.83/28.02 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_mult__less__cancel__left__pos,axiom,
% 27.83/28.02 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 27.83/28.02 ( class_Rings_Olinordered__ring__strict(T_b)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 27.83/28.02 => ( 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)))
% 27.83/28.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_mult__pos__pos,axiom,
% 27.83/28.02 ! [V_b,V_a,T_a] :
% 27.83/28.02 ( class_Rings_Olinordered__semiring__strict(T_a)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 27.83/28.02 => 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))) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_mult__pos__neg,axiom,
% 27.83/28.02 ! [V_b,V_a,T_a] :
% 27.83/28.02 ( class_Rings_Olinordered__semiring__strict(T_a)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.02 => 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))) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_mult__pos__neg2,axiom,
% 27.83/28.02 ! [V_b,V_a,T_a] :
% 27.83/28.02 ( class_Rings_Olinordered__semiring__strict(T_a)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.02 => 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))) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zero__less__mult__pos,axiom,
% 27.83/28.02 ! [V_b,V_a,T_a] :
% 27.83/28.02 ( class_Rings_Olinordered__semiring__strict(T_a)
% 27.83/28.02 => ( 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)))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zero__less__mult__pos2,axiom,
% 27.83/28.02 ! [V_a,V_b,T_a] :
% 27.83/28.02 ( class_Rings_Olinordered__semiring__strict(T_a)
% 27.83/28.02 => ( 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)))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_mult__less__cancel__left__neg,axiom,
% 27.83/28.02 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 27.83/28.02 ( class_Rings_Olinordered__ring__strict(T_b)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.02 => ( 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)))
% 27.83/28.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_mult__neg__pos,axiom,
% 27.83/28.02 ! [V_b,V_a,T_a] :
% 27.83/28.02 ( class_Rings_Olinordered__semiring__strict(T_a)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 27.83/28.02 => 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))) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_mult__neg__neg,axiom,
% 27.83/28.02 ! [V_b,V_a,T_a] :
% 27.83/28.02 ( class_Rings_Olinordered__ring__strict(T_a)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.02 => 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))) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_mult__strict__right__mono,axiom,
% 27.83/28.02 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.02 ( class_Rings_Olinordered__semiring__strict(T_a)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 27.83/28.02 => 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))) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_mult__strict__left__mono,axiom,
% 27.83/28.02 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.02 ( class_Rings_Olinordered__semiring__strict(T_a)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 27.83/28.02 => 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))) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_comm__mult__strict__left__mono,axiom,
% 27.83/28.02 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.02 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 27.83/28.02 => 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))) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_mult__strict__right__mono__neg,axiom,
% 27.83/28.02 ! [V_c,V_a,V_b,T_a] :
% 27.83/28.02 ( class_Rings_Olinordered__ring__strict(T_a)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.02 => 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))) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_mult__strict__left__mono__neg,axiom,
% 27.83/28.02 ! [V_c,V_a,V_b,T_a] :
% 27.83/28.02 ( class_Rings_Olinordered__ring__strict(T_a)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.02 => 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))) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_sum__squares__eq__zero__iff,axiom,
% 27.83/28.02 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.02 ( class_Rings_Olinordered__ring__strict(T_b)
% 27.83/28.02 => ( 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)
% 27.83/28.02 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.02 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_add__scale__eq__noteq,axiom,
% 27.83/28.02 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 27.83/28.02 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 27.83/28.02 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.02 => ( ( V_a = V_b
% 27.83/28.02 & V_c != V_d )
% 27.83/28.02 => 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)) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zadd__zminus__inverse2,axiom,
% 27.83/28.02 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),V_z) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_negative__eq__positive,axiom,
% 27.83/28.02 ! [V_m_2,V_n_2] :
% 27.83/28.02 ( 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)
% 27.83/28.02 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.02 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_not__int__zless__negative,axiom,
% 27.83/28.02 ! [V_m,V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)))) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zmult__zless__mono2,axiom,
% 27.83/28.02 ! [V_k,V_j,V_i] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 27.83/28.02 => 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))) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_of__int__0,axiom,
% 27.83/28.02 ! [T_a] :
% 27.83/28.02 ( class_Rings_Oring__1(T_a)
% 27.83/28.02 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_of__int__0__eq__iff,axiom,
% 27.83/28.02 ! [V_z_2,T_b] :
% 27.83/28.02 ( class_Int_Oring__char__0(T_b)
% 27.83/28.02 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 27.83/28.02 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_of__int__eq__0__iff,axiom,
% 27.83/28.02 ! [V_z_2,T_b] :
% 27.83/28.02 ( class_Int_Oring__char__0(T_b)
% 27.83/28.02 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.02 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_of__int__less__iff,axiom,
% 27.83/28.02 ! [V_z_2,V_w_2,T_b] :
% 27.83/28.02 ( class_Rings_Olinordered__idom(T_b)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 27.83/28.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_of__int__add,axiom,
% 27.83/28.02 ! [V_z,V_w,T_a] :
% 27.83/28.02 ( class_Rings_Oring__1(T_a)
% 27.83/28.02 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_of__int__of__nat__eq,axiom,
% 27.83/28.02 ! [V_n,T_a] :
% 27.83/28.02 ( class_Rings_Oring__1(T_a)
% 27.83/28.02 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_nat__mono__iff,axiom,
% 27.83/28.02 ! [V_w_2,V_z_2] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 27.83/28.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zless__nat__conj,axiom,
% 27.83/28.02 ! [V_z_2,V_w_2] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 27.83/28.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 27.83/28.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zless__nat__eq__int__zless,axiom,
% 27.83/28.02 ! [V_z_2,V_m_2] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 27.83/28.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),V_z_2)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_not__sum__squares__lt__zero,axiom,
% 27.83/28.02 ! [V_y,V_x,T_a] :
% 27.83/28.02 ( class_Rings_Olinordered__ring(T_a)
% 27.83/28.02 => ~ 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))) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_sum__squares__gt__zero__iff,axiom,
% 27.83/28.02 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.02 ( class_Rings_Olinordered__ring__strict(T_b)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_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))))
% 27.83/28.02 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.02 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_nat__aux__def,axiom,
% 27.83/28.02 ! [V_n,V_i] : c_Int_Onat__aux(V_i,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_i)),V_n) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_funpow__code__def,axiom,
% 27.83/28.02 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_negD,axiom,
% 27.83/28.02 ! [V_x] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.02 => ? [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))) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_nat__less__iff,axiom,
% 27.83/28.02 ! [V_m_2,V_w_2] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 27.83/28.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_one__less__nat__eq,axiom,
% 27.83/28.02 ! [V_z_2] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Int_Onat,V_z_2)))
% 27.83/28.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_of__nat__nat,axiom,
% 27.83/28.02 ! [V_z,T_a] :
% 27.83/28.02 ( class_Rings_Oring__1(T_a)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 27.83/28.02 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_z)) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_not__zle__0__negative,axiom,
% 27.83/28.02 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n))))) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_nat__add__distrib,axiom,
% 27.83/28.02 ! [V_z_H,V_z] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 27.83/28.02 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 27.83/28.02 ! [V_y,V_x] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 27.83/28.02 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_nat__eq__iff,axiom,
% 27.83/28.02 ! [V_m_2,V_w_2] :
% 27.83/28.02 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 27.83/28.02 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 27.83/28.02 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 27.83/28.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 27.83/28.02 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_order__refl,axiom,
% 27.83/28.02 ! [V_x,T_a] :
% 27.83/28.02 ( class_Orderings_Opreorder(T_a)
% 27.83/28.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_negative__zle,axiom,
% 27.83/28.02 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m))) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_nat__mult__assoc,axiom,
% 27.83/28.02 ! [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)) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_nat__mult__commute,axiom,
% 27.83/28.02 ! [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) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_le__fun__def,axiom,
% 27.83/28.02 ! [V_g_2,V_f_2,T_b,T_c] :
% 27.83/28.02 ( class_Orderings_Oord(T_c)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 27.83/28.02 <=> ! [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))) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_linorder__linear,axiom,
% 27.83/28.02 ! [V_y,V_x,T_a] :
% 27.83/28.02 ( class_Orderings_Olinorder(T_a)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 27.83/28.02 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_order__eq__iff,axiom,
% 27.83/28.02 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.02 ( class_Orderings_Oorder(T_b)
% 27.83/28.02 => ( V_x_2 = V_y_2
% 27.83/28.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 27.83/28.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_order__eq__refl,axiom,
% 27.83/28.02 ! [V_y,V_x,T_a] :
% 27.83/28.02 ( class_Orderings_Opreorder(T_a)
% 27.83/28.02 => ( V_x = V_y
% 27.83/28.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_le__funD,axiom,
% 27.83/28.02 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 27.83/28.02 ( class_Orderings_Oord(T_c)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 27.83/28.02 => 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))) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_order__antisym__conv,axiom,
% 27.83/28.02 ! [V_x_2,V_y_2,T_b] :
% 27.83/28.02 ( class_Orderings_Oorder(T_b)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 27.83/28.02 <=> V_x_2 = V_y_2 ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_ord__eq__le__trans,axiom,
% 27.83/28.02 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.02 ( class_Orderings_Oord(T_a)
% 27.83/28.02 => ( V_a = V_b
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 27.83/28.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_xt1_I3_J,axiom,
% 27.83/28.02 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.02 ( class_Orderings_Oorder(T_a)
% 27.83/28.02 => ( V_a = V_b
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 27.83/28.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_ord__le__eq__trans,axiom,
% 27.83/28.02 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.02 ( class_Orderings_Oord(T_a)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 27.83/28.02 => ( V_b = V_c
% 27.83/28.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_xt1_I4_J,axiom,
% 27.83/28.02 ! [V_c,V_a,V_b,T_a] :
% 27.83/28.02 ( class_Orderings_Oorder(T_a)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 27.83/28.02 => ( V_b = V_c
% 27.83/28.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_order__antisym,axiom,
% 27.83/28.02 ! [V_y,V_x,T_a] :
% 27.83/28.02 ( class_Orderings_Oorder(T_a)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 27.83/28.02 => V_x = V_y ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_order__trans,axiom,
% 27.83/28.02 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.02 ( class_Orderings_Opreorder(T_a)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 27.83/28.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_xt1_I5_J,axiom,
% 27.83/28.02 ! [V_x,V_y,T_a] :
% 27.83/28.02 ( class_Orderings_Oorder(T_a)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 27.83/28.02 => V_x = V_y ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_xt1_I6_J,axiom,
% 27.83/28.02 ! [V_z,V_x,V_y,T_a] :
% 27.83/28.02 ( class_Orderings_Oorder(T_a)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 27.83/28.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_le__funE,axiom,
% 27.83/28.02 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 27.83/28.02 ( class_Orderings_Oord(T_c)
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 27.83/28.02 => 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))) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_linorder__le__cases,axiom,
% 27.83/28.02 ! [V_y,V_x,T_a] :
% 27.83/28.02 ( class_Orderings_Olinorder(T_a)
% 27.83/28.02 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 27.83/28.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_one__reorient,axiom,
% 27.83/28.02 ! [V_x_2,T_b] :
% 27.83/28.02 ( class_Groups_Oone(T_b)
% 27.83/28.02 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2
% 27.83/28.02 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zle__refl,axiom,
% 27.83/28.02 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zle__linear,axiom,
% 27.83/28.02 ! [V_w,V_z] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 27.83/28.02 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zle__trans,axiom,
% 27.83/28.02 ! [V_k,V_j,V_i] :
% 27.83/28.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 27.83/28.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 27.83/28.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 27.83/28.02
% 27.83/28.02 fof(fact_zle__antisym,axiom,
% 27.83/28.02 ! [V_w,V_z] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 27.83/28.03 => V_z = V_w ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_not__one__le__zero,axiom,
% 27.83/28.03 ! [T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.03 => ~ 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))) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_zero__le__one,axiom,
% 27.83/28.03 ! [T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.03 => 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))) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 27.83/28.03 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))) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_of__nat__1,axiom,
% 27.83/28.03 ! [T_a] :
% 27.83/28.03 ( class_Rings_Osemiring__1(T_a)
% 27.83/28.03 => 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) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_of__nat__le__iff,axiom,
% 27.83/28.03 ! [V_n_2,V_m_2,T_b] :
% 27.83/28.03 ( class_Rings_Olinordered__semidom(T_b)
% 27.83/28.03 => ( 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)))
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_of__int__le__iff,axiom,
% 27.83/28.03 ! [V_z_2,V_w_2,T_b] :
% 27.83/28.03 ( class_Rings_Olinordered__idom(T_b)
% 27.83/28.03 => ( 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)))
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_of__int__1,axiom,
% 27.83/28.03 ! [T_a] :
% 27.83/28.03 ( class_Rings_Oring__1(T_a)
% 27.83/28.03 => 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) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__left__le__one__le,axiom,
% 27.83/28.03 ! [V_y,V_x,T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 27.83/28.03 => 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)) ) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__right__le__one__le,axiom,
% 27.83/28.03 ! [V_y,V_x,T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 27.83/28.03 => 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)) ) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_int__one__le__iff__zero__less,axiom,
% 27.83/28.03 ! [V_z_2] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_zle__add1__eq__le,axiom,
% 27.83/28.03 ! [V_z_2,V_w_2] :
% 27.83/28.03 ( 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))))
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_add1__zle__eq,axiom,
% 27.83/28.03 ! [V_z_2,V_w_2] :
% 27.83/28.03 ( 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))
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_zless__imp__add1__zle,axiom,
% 27.83/28.03 ! [V_z,V_w] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 27.83/28.03 => 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)) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_zero__neq__one,axiom,
% 27.83/28.03 ! [T_a] :
% 27.83/28.03 ( class_Rings_Ozero__neq__one(T_a)
% 27.83/28.03 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_one__neq__zero,axiom,
% 27.83/28.03 ! [T_a] :
% 27.83/28.03 ( class_Rings_Ozero__neq__one(T_a)
% 27.83/28.03 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_linorder__not__less,axiom,
% 27.83/28.03 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.03 ( class_Orderings_Olinorder(T_b)
% 27.83/28.03 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_linorder__not__le,axiom,
% 27.83/28.03 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.03 ( class_Orderings_Olinorder(T_b)
% 27.83/28.03 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_linorder__le__less__linear,axiom,
% 27.83/28.03 ! [V_y,V_x,T_a] :
% 27.83/28.03 ( class_Orderings_Olinorder(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 27.83/28.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_order__less__le,axiom,
% 27.83/28.03 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.03 ( class_Orderings_Oorder(T_b)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 27.83/28.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 27.83/28.03 & V_x_2 != V_y_2 ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_less__le__not__le,axiom,
% 27.83/28.03 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.03 ( class_Orderings_Opreorder(T_b)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 27.83/28.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 27.83/28.03 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_order__le__less,axiom,
% 27.83/28.03 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.03 ( class_Orderings_Oorder(T_b)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 27.83/28.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 27.83/28.03 | V_x_2 = V_y_2 ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_leI,axiom,
% 27.83/28.03 ! [V_y,V_x,T_a] :
% 27.83/28.03 ( class_Orderings_Olinorder(T_a)
% 27.83/28.03 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_not__leE,axiom,
% 27.83/28.03 ! [V_x,V_y,T_a] :
% 27.83/28.03 ( class_Orderings_Olinorder(T_a)
% 27.83/28.03 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_linorder__antisym__conv1,axiom,
% 27.83/28.03 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.03 ( class_Orderings_Olinorder(T_b)
% 27.83/28.03 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 27.83/28.03 <=> V_x_2 = V_y_2 ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_order__neq__le__trans,axiom,
% 27.83/28.03 ! [V_b,V_a,T_a] :
% 27.83/28.03 ( class_Orderings_Oorder(T_a)
% 27.83/28.03 => ( V_a != V_b
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_xt1_I12_J,axiom,
% 27.83/28.03 ! [V_b,V_a,T_a] :
% 27.83/28.03 ( class_Orderings_Oorder(T_a)
% 27.83/28.03 => ( V_a != V_b
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_leD,axiom,
% 27.83/28.03 ! [V_x,V_y,T_a] :
% 27.83/28.03 ( class_Orderings_Olinorder(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 27.83/28.03 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_order__less__imp__le,axiom,
% 27.83/28.03 ! [V_y,V_x,T_a] :
% 27.83/28.03 ( class_Orderings_Opreorder(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_linorder__antisym__conv2,axiom,
% 27.83/28.03 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.03 ( class_Orderings_Olinorder(T_b)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 27.83/28.03 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 27.83/28.03 <=> V_x_2 = V_y_2 ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_order__le__imp__less__or__eq,axiom,
% 27.83/28.03 ! [V_y,V_x,T_a] :
% 27.83/28.03 ( class_Orderings_Oorder(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 27.83/28.03 | V_x = V_y ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_order__le__neq__trans,axiom,
% 27.83/28.03 ! [V_b,V_a,T_a] :
% 27.83/28.03 ( class_Orderings_Oorder(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 27.83/28.03 => ( V_a != V_b
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_xt1_I11_J,axiom,
% 27.83/28.03 ! [V_a,V_b,T_a] :
% 27.83/28.03 ( class_Orderings_Oorder(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 27.83/28.03 => ( V_a != V_b
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_order__less__le__trans,axiom,
% 27.83/28.03 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.03 ( class_Orderings_Opreorder(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_xt1_I7_J,axiom,
% 27.83/28.03 ! [V_z,V_x,V_y,T_a] :
% 27.83/28.03 ( class_Orderings_Oorder(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_order__le__less__trans,axiom,
% 27.83/28.03 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.03 ( class_Orderings_Opreorder(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_xt1_I8_J,axiom,
% 27.83/28.03 ! [V_z,V_x,V_y,T_a] :
% 27.83/28.03 ( class_Orderings_Oorder(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__1__left,axiom,
% 27.83/28.03 ! [V_a,T_a] :
% 27.83/28.03 ( class_Groups_Omonoid__mult(T_a)
% 27.83/28.03 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__1,axiom,
% 27.83/28.03 ! [V_a,T_a] :
% 27.83/28.03 ( class_Groups_Ocomm__monoid__mult(T_a)
% 27.83/28.03 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__1__right,axiom,
% 27.83/28.03 ! [V_a,T_a] :
% 27.83/28.03 ( class_Groups_Omonoid__mult(T_a)
% 27.83/28.03 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult_Ocomm__neutral,axiom,
% 27.83/28.03 ! [V_a,T_a] :
% 27.83/28.03 ( class_Groups_Ocomm__monoid__mult(T_a)
% 27.83/28.03 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 27.83/28.03 ! [V_a,T_a] :
% 27.83/28.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.03 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 27.83/28.03 ! [V_a,T_a] :
% 27.83/28.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.03 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_add__le__cancel__right,axiom,
% 27.83/28.03 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 27.83/28.03 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 27.83/28.03 => ( 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)))
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_add__le__cancel__left,axiom,
% 27.83/28.03 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 27.83/28.03 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 27.83/28.03 => ( 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)))
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_add__right__mono,axiom,
% 27.83/28.03 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.03 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 27.83/28.03 => 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))) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_add__left__mono,axiom,
% 27.83/28.03 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.03 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 27.83/28.03 => 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))) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_add__mono,axiom,
% 27.83/28.03 ! [V_d,V_c,V_b,V_a,T_a] :
% 27.83/28.03 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 27.83/28.03 => 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))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_add__le__imp__le__right,axiom,
% 27.83/28.03 ! [V_b,V_c,V_a,T_a] :
% 27.83/28.03 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 27.83/28.03 => ( 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)))
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_add__le__imp__le__left,axiom,
% 27.83/28.03 ! [V_b,V_a,V_c,T_a] :
% 27.83/28.03 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 27.83/28.03 => ( 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)))
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_bot__least,axiom,
% 27.83/28.03 ! [V_x,T_a] :
% 27.83/28.03 ( class_Orderings_Obot(T_a)
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__cancel2,axiom,
% 27.83/28.03 ! [V_n_2,V_k_2,V_m_2] :
% 27.83/28.03 ( 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)
% 27.83/28.03 <=> ( V_m_2 = V_n_2
% 27.83/28.03 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__cancel1,axiom,
% 27.83/28.03 ! [V_n_2,V_m_2,V_k_2] :
% 27.83/28.03 ( 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)
% 27.83/28.03 <=> ( V_m_2 = V_n_2
% 27.83/28.03 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__is__0,axiom,
% 27.83/28.03 ! [V_n_2,V_m_2] :
% 27.83/28.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.03 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.03 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__0__right,axiom,
% 27.83/28.03 ! [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) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__0,axiom,
% 27.83/28.03 ! [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) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_Suc__mult__cancel1,axiom,
% 27.83/28.03 ! [V_n_2,V_m_2,V_k_2] :
% 27.83/28.03 ( 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)
% 27.83/28.03 <=> V_m_2 = V_n_2 ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_le__minus__iff,axiom,
% 27.83/28.03 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.03 ( class_Groups_Oordered__ab__group__add(T_b)
% 27.83/28.03 => ( 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)))
% 27.83/28.03 <=> 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))) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_minus__le__iff,axiom,
% 27.83/28.03 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.03 ( class_Groups_Oordered__ab__group__add(T_b)
% 27.83/28.03 => ( 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))
% 27.83/28.03 <=> 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)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_neg__le__iff__le,axiom,
% 27.83/28.03 ! [V_a_2,V_b_2,T_b] :
% 27.83/28.03 ( class_Groups_Oordered__ab__group__add(T_b)
% 27.83/28.03 => ( 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)))
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_le__imp__neg__le,axiom,
% 27.83/28.03 ! [V_b,V_a,T_a] :
% 27.83/28.03 ( class_Groups_Oordered__ab__group__add(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 27.83/28.03 => 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))) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_add__mult__distrib2,axiom,
% 27.83/28.03 ! [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)) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_add__mult__distrib,axiom,
% 27.83/28.03 ! [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)) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 27.83/28.03 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))) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_int__0__neq__1,axiom,
% 27.83/28.03 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_zless__le,axiom,
% 27.83/28.03 ! [V_w_2,V_z_2] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 27.83/28.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 27.83/28.03 & V_z_2 != V_w_2 ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_zadd__left__mono,axiom,
% 27.83/28.03 ! [V_k,V_j,V_i] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 27.83/28.03 => 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))) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_zmult__1,axiom,
% 27.83/28.03 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 27.83/28.03
% 27.83/28.03 fof(fact_zmult__1__right,axiom,
% 27.83/28.03 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 27.83/28.03
% 27.83/28.03 fof(fact_funpow__mult,axiom,
% 27.83/28.03 ! [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) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_convex__bound__le,axiom,
% 27.83/28.03 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__semiring__1(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 27.83/28.03 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 27.83/28.03 => 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)) ) ) ) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_le__imp__0__less,axiom,
% 27.83/28.03 ! [V_z] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 27.83/28.03 => 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))) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_nat__mult__distrib,axiom,
% 27.83/28.03 ! [V_z_H,V_z] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 27.83/28.03 => 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)) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 27.83/28.03 ! [V_y,V_x] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 27.83/28.03 => 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)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_of__int__0__le__iff,axiom,
% 27.83/28.03 ! [V_z_2,T_b] :
% 27.83/28.03 ( class_Rings_Olinordered__idom(T_b)
% 27.83/28.03 => ( 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)))
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_of__int__le__0__iff,axiom,
% 27.83/28.03 ! [V_z_2,T_b] :
% 27.83/28.03 ( class_Rings_Olinordered__idom(T_b)
% 27.83/28.03 => ( 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)))
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_convex__bound__lt,axiom,
% 27.83/28.03 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 27.83/28.03 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 27.83/28.03 => 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)) ) ) ) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 27.83/28.03 ! [V_z] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 27.83/28.03 => 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)) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_zero__less__one,axiom,
% 27.83/28.03 ! [T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_not__one__less__zero,axiom,
% 27.83/28.03 ! [T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.03 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_nat__mult__distrib__neg,axiom,
% 27.83/28.03 ! [V_z_H,V_z] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.03 => 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))) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_less__add__one,axiom,
% 27.83/28.03 ! [V_a,T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.03 => 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)))) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_less__1__mult,axiom,
% 27.83/28.03 ! [V_n,V_m,T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 27.83/28.03 => 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))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 27.83/28.03 ! [V_m,V_a,T_a] :
% 27.83/28.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.03 => 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) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 27.83/28.03 ! [V_a,V_m,T_a] :
% 27.83/28.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.03 => 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) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 27.83/28.03 ! [V_m,T_a] :
% 27.83/28.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.03 => 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) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 27.83/28.03 ! [V_a_2,T_b] :
% 27.83/28.03 ( class_Groups_Olinordered__ab__group__add(T_b)
% 27.83/28.03 => ( 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)))
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 27.83/28.03 ! [V_a_2,T_b] :
% 27.83/28.03 ( class_Groups_Olinordered__ab__group__add(T_b)
% 27.83/28.03 => ( 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)))
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_add__nonneg__nonneg,axiom,
% 27.83/28.03 ! [V_b,V_a,T_a] :
% 27.83/28.03 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 27.83/28.03 => 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))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_add__nonneg__eq__0__iff,axiom,
% 27.83/28.03 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.03 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2))
% 27.83/28.03 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.03 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.03 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_add__increasing,axiom,
% 27.83/28.03 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.03 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 27.83/28.03 => 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))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_add__increasing2,axiom,
% 27.83/28.03 ! [V_a,V_b,V_c,T_a] :
% 27.83/28.03 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 27.83/28.03 => 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))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_add__nonpos__nonpos,axiom,
% 27.83/28.03 ! [V_b,V_a,T_a] :
% 27.83/28.03 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.03 => 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))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_zero__le__square,axiom,
% 27.83/28.03 ! [V_a,T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__ring(T_a)
% 27.83/28.03 => 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))) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_zero__le__mult__iff,axiom,
% 27.83/28.03 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.03 ( class_Rings_Olinordered__ring__strict(T_b)
% 27.83/28.03 => ( 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)))
% 27.83/28.03 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 27.83/28.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 27.83/28.03 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__le__0__iff,axiom,
% 27.83/28.03 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.03 ( class_Rings_Olinordered__ring__strict(T_b)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.03 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 27.83/28.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 27.83/28.03 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__nonneg__nonneg,axiom,
% 27.83/28.03 ! [V_b,V_a,T_a] :
% 27.83/28.03 ( class_Rings_Oordered__cancel__semiring(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 27.83/28.03 => 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))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__nonneg__nonpos,axiom,
% 27.83/28.03 ! [V_b,V_a,T_a] :
% 27.83/28.03 ( class_Rings_Oordered__cancel__semiring(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.03 => 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))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__nonneg__nonpos2,axiom,
% 27.83/28.03 ! [V_b,V_a,T_a] :
% 27.83/28.03 ( class_Rings_Oordered__cancel__semiring(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.03 => 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))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__nonpos__nonneg,axiom,
% 27.83/28.03 ! [V_b,V_a,T_a] :
% 27.83/28.03 ( class_Rings_Oordered__cancel__semiring(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 27.83/28.03 => 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))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__nonpos__nonpos,axiom,
% 27.83/28.03 ! [V_b,V_a,T_a] :
% 27.83/28.03 ( class_Rings_Oordered__ring(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.03 => 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))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__right__mono,axiom,
% 27.83/28.03 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.03 ( class_Rings_Oordered__semiring(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 27.83/28.03 => 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))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__left__mono,axiom,
% 27.83/28.03 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.03 ( class_Rings_Oordered__semiring(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 27.83/28.03 => 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))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_comm__mult__left__mono,axiom,
% 27.83/28.03 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.03 ( class_Rings_Oordered__comm__semiring(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 27.83/28.03 => 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))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__right__mono__neg,axiom,
% 27.83/28.03 ! [V_c,V_a,V_b,T_a] :
% 27.83/28.03 ( class_Rings_Oordered__ring(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.03 => 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))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__left__mono__neg,axiom,
% 27.83/28.03 ! [V_c,V_a,V_b,T_a] :
% 27.83/28.03 ( class_Rings_Oordered__ring(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.03 => 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))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__mono_H,axiom,
% 27.83/28.03 ! [V_d,V_c,V_b,V_a,T_a] :
% 27.83/28.03 ( class_Rings_Oordered__semiring(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 27.83/28.03 => 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))) ) ) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__mono,axiom,
% 27.83/28.03 ! [V_d,V_c,V_b,V_a,T_a] :
% 27.83/28.03 ( class_Rings_Oordered__semiring(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 27.83/28.03 => 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))) ) ) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_split__mult__pos__le,axiom,
% 27.83/28.03 ! [V_b,V_a,T_a] :
% 27.83/28.03 ( class_Rings_Oordered__ring(T_a)
% 27.83/28.03 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 27.83/28.03 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 27.83/28.03 => 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))) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_split__mult__neg__le,axiom,
% 27.83/28.03 ! [V_b,V_a,T_a] :
% 27.83/28.03 ( class_Rings_Oordered__cancel__semiring(T_a)
% 27.83/28.03 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 27.83/28.03 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 27.83/28.03 => 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))) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_add__less__le__mono,axiom,
% 27.83/28.03 ! [V_d,V_c,V_b,V_a,T_a] :
% 27.83/28.03 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 27.83/28.03 => 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))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_add__le__less__mono,axiom,
% 27.83/28.03 ! [V_d,V_c,V_b,V_a,T_a] :
% 27.83/28.03 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 27.83/28.03 => 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))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 27.83/28.03 ! [V_x,T_a] :
% 27.83/28.03 ( class_Rings_Ocomm__ring__1(T_a)
% 27.83/28.03 => 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) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_square__eq__1__iff,axiom,
% 27.83/28.03 ! [V_x_2,T_b] :
% 27.83/28.03 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 27.83/28.03 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 27.83/28.03 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b)
% 27.83/28.03 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_neg__0__le__iff__le,axiom,
% 27.83/28.03 ! [V_a_2,T_b] :
% 27.83/28.03 ( class_Groups_Oordered__ab__group__add(T_b)
% 27.83/28.03 => ( 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)))
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_le__minus__self__iff,axiom,
% 27.83/28.03 ! [V_a_2,T_b] :
% 27.83/28.03 ( class_Groups_Olinordered__ab__group__add(T_b)
% 27.83/28.03 => ( 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)))
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_neg__le__0__iff__le,axiom,
% 27.83/28.03 ! [V_a_2,T_b] :
% 27.83/28.03 ( class_Groups_Oordered__ab__group__add(T_b)
% 27.83/28.03 => ( 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)))
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_minus__le__self__iff,axiom,
% 27.83/28.03 ! [V_a_2,T_b] :
% 27.83/28.03 ( class_Groups_Olinordered__ab__group__add(T_b)
% 27.83/28.03 => ( 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))
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__eq__1__iff,axiom,
% 27.83/28.03 ! [V_n_2,V_m_2] :
% 27.83/28.03 ( 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))
% 27.83/28.03 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 27.83/28.03 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_of__nat__0__le__iff,axiom,
% 27.83/28.03 ! [V_n,T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.03 => 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))) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_zero__le__imp__of__nat,axiom,
% 27.83/28.03 ! [V_m,T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.03 => 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))) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__less__mono2,axiom,
% 27.83/28.03 ! [V_k,V_j,V_i] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 27.83/28.03 => 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))) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__less__mono1,axiom,
% 27.83/28.03 ! [V_k,V_j,V_i] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 27.83/28.03 => 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))) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__less__cancel2,axiom,
% 27.83/28.03 ! [V_n_2,V_k_2,V_m_2] :
% 27.83/28.03 ( 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)))
% 27.83/28.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 27.83/28.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__less__cancel1,axiom,
% 27.83/28.03 ! [V_n_2,V_m_2,V_k_2] :
% 27.83/28.03 ( 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)))
% 27.83/28.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 27.83/28.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_nat__0__less__mult__iff,axiom,
% 27.83/28.03 ! [V_n_2,V_m_2] :
% 27.83/28.03 ( 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)))
% 27.83/28.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 27.83/28.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_Suc__mult__less__cancel1,axiom,
% 27.83/28.03 ! [V_n_2,V_m_2,V_k_2] :
% 27.83/28.03 ( 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)))
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__Suc__right,axiom,
% 27.83/28.03 ! [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)) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__Suc,axiom,
% 27.83/28.03 ! [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)) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 27.83/28.03 ! [V_y,V_x] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y))) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_int__0__less__1,axiom,
% 27.83/28.03 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))) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_zero__zle__int,axiom,
% 27.83/28.03 ! [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))) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 27.83/28.03 ! [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))) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 27.83/28.03 ! [V_Pa_2] :
% 27.83/28.03 ( ? [B_x] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 27.83/28.03 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 27.83/28.03 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 27.83/28.03 ! [V_Pa_2] :
% 27.83/28.03 ( ! [B_x] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 27.83/28.03 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 27.83/28.03 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_eq__nat__nat__iff,axiom,
% 27.83/28.03 ! [V_z_H_2,V_z_2] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 27.83/28.03 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 27.83/28.03 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_ex__nat,axiom,
% 27.83/28.03 ! [V_Pa_2] :
% 27.83/28.03 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 27.83/28.03 <=> ? [B_x] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 27.83/28.03 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_all__nat,axiom,
% 27.83/28.03 ! [V_Pa_2] :
% 27.83/28.03 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 27.83/28.03 <=> ! [B_x] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 27.83/28.03 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 27.83/28.03 ! [V_y_2,V_x_2] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 27.83/28.03 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 27.83/28.03 <=> V_x_2 = V_y_2 ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_zadd__zless__mono,axiom,
% 27.83/28.03 ! [V_z,V_z_H,V_w,V_w_H] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 27.83/28.03 => 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))) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 27.83/28.03 ! [V_y,V_x] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y))) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_odd__nonzero,axiom,
% 27.83/28.03 ! [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) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_zmult__int,axiom,
% 27.83/28.03 ! [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)) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_int__mult,axiom,
% 27.83/28.03 ! [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)) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 27.83/28.03 ! [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)) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_zless__add1__eq,axiom,
% 27.83/28.03 ! [V_z_2,V_w_2] :
% 27.83/28.03 ( 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))))
% 27.83/28.03 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 27.83/28.03 | V_w_2 = V_z_2 ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_zle__iff__zadd,axiom,
% 27.83/28.03 ! [V_z_2,V_w_2] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 27.83/28.03 <=> ? [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)) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_zero__less__two,axiom,
% 27.83/28.03 ! [T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.03 => 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)))) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_add__nonpos__neg,axiom,
% 27.83/28.03 ! [V_b,V_a,T_a] :
% 27.83/28.03 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.03 => 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))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_add__neg__nonpos,axiom,
% 27.83/28.03 ! [V_b,V_a,T_a] :
% 27.83/28.03 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.03 => 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))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_add__strict__increasing2,axiom,
% 27.83/28.03 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.03 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 27.83/28.03 => 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))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_add__strict__increasing,axiom,
% 27.83/28.03 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.03 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 27.83/28.03 => 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))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_add__nonneg__pos,axiom,
% 27.83/28.03 ! [V_b,V_a,T_a] :
% 27.83/28.03 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 27.83/28.03 => 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))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_add__pos__nonneg,axiom,
% 27.83/28.03 ! [V_b,V_a,T_a] :
% 27.83/28.03 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 27.83/28.03 => 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))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__left__le__imp__le,axiom,
% 27.83/28.03 ! [V_b,V_a,V_c,T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__semiring__strict(T_a)
% 27.83/28.03 => ( 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)))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__right__le__imp__le,axiom,
% 27.83/28.03 ! [V_b,V_c,V_a,T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__semiring__strict(T_a)
% 27.83/28.03 => ( 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)))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__less__imp__less__left,axiom,
% 27.83/28.03 ! [V_b,V_a,V_c,T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__semiring__strict(T_a)
% 27.83/28.03 => ( 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)))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__left__less__imp__less,axiom,
% 27.83/28.03 ! [V_b,V_a,V_c,T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__semiring(T_a)
% 27.83/28.03 => ( 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)))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__less__imp__less__right,axiom,
% 27.83/28.03 ! [V_b,V_c,V_a,T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__semiring__strict(T_a)
% 27.83/28.03 => ( 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)))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__right__less__imp__less,axiom,
% 27.83/28.03 ! [V_b,V_c,V_a,T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__semiring(T_a)
% 27.83/28.03 => ( 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)))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__le__less__imp__less,axiom,
% 27.83/28.03 ! [V_d,V_c,V_b,V_a,T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__semiring__strict(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 27.83/28.03 => 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))) ) ) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__less__le__imp__less,axiom,
% 27.83/28.03 ! [V_d,V_c,V_b,V_a,T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__semiring__strict(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 27.83/28.03 => 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))) ) ) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__strict__mono_H,axiom,
% 27.83/28.03 ! [V_d,V_c,V_b,V_a,T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__semiring__strict(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 27.83/28.03 => 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))) ) ) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__strict__mono,axiom,
% 27.83/28.03 ! [V_d,V_c,V_b,V_a,T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__semiring__strict(T_a)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 27.83/28.03 => 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))) ) ) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__le__cancel__left__neg,axiom,
% 27.83/28.03 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 27.83/28.03 ( class_Rings_Olinordered__ring__strict(T_b)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.03 => ( 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)))
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_mult__le__cancel__left__pos,axiom,
% 27.83/28.03 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 27.83/28.03 ( class_Rings_Olinordered__ring__strict(T_b)
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 27.83/28.03 => ( 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)))
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_sum__squares__le__zero__iff,axiom,
% 27.83/28.03 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.03 ( class_Rings_Olinordered__ring__strict(T_b)
% 27.83/28.03 => ( 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)))
% 27.83/28.03 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.03 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_sum__squares__ge__zero,axiom,
% 27.83/28.03 ! [V_y,V_x,T_a] :
% 27.83/28.03 ( class_Rings_Olinordered__ring(T_a)
% 27.83/28.03 => 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)))) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_of__nat__Suc,axiom,
% 27.83/28.03 ! [V_m,T_a] :
% 27.83/28.03 ( class_Rings_Osemiring__1(T_a)
% 27.83/28.03 => 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)) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_n__less__m__mult__n,axiom,
% 27.83/28.03 ! [V_m,V_n] :
% 27.83/28.03 ( 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))
% 27.83/28.03 => ( 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))
% 27.83/28.03 => 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))) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_n__less__n__mult__m,axiom,
% 27.83/28.03 ! [V_m,V_n] :
% 27.83/28.03 ( 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))
% 27.83/28.03 => ( 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))
% 27.83/28.03 => 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))) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_one__less__mult,axiom,
% 27.83/28.03 ! [V_m,V_n] :
% 27.83/28.03 ( 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))
% 27.83/28.03 => ( 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))
% 27.83/28.03 => 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))) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_int__le__0__conv,axiom,
% 27.83/28.03 ! [V_n_2] :
% 27.83/28.03 ( 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)))
% 27.83/28.03 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_nat__le__0,axiom,
% 27.83/28.03 ! [V_z] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.03 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_nat__0__iff,axiom,
% 27.83/28.03 ! [V_i_2] :
% 27.83/28.03 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_int__Suc0__eq__1,axiom,
% 27.83/28.03 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) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_nat__1,axiom,
% 27.83/28.03 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_odd__less__0,axiom,
% 27.83/28.03 ! [V_z_2] :
% 27.83/28.03 ( 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)))
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_nat__0__le,axiom,
% 27.83/28.03 ! [V_z] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 27.83/28.03 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_int__eq__iff,axiom,
% 27.83/28.03 ! [V_z_2,V_m_2] :
% 27.83/28.03 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 27.83/28.03 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 27.83/28.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_int__nat__eq,axiom,
% 27.83/28.03 ! [V_z] :
% 27.83/28.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 27.83/28.03 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 27.83/28.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 27.83/28.03 => 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) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_pos__zmult__eq__1__iff,axiom,
% 27.83/28.03 ! [V_n_2,V_m_2] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 27.83/28.03 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 27.83/28.03 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 27.83/28.03 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_int__Suc,axiom,
% 27.83/28.03 ! [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)) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_int__zle__neg,axiom,
% 27.83/28.03 ! [V_m_2,V_n_2] :
% 27.83/28.03 ( 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))))
% 27.83/28.03 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.03 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_negative__zle__0,axiom,
% 27.83/28.03 ! [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))) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 27.83/28.03 ! [V_y_2,V_x_2] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 27.83/28.03 => ( 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)))
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_nat__less__eq__zless,axiom,
% 27.83/28.03 ! [V_z_2,V_w_2] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 27.83/28.03 => ( 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)))
% 27.83/28.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_nat__eq__iff2,axiom,
% 27.83/28.03 ! [V_w_2,V_m_2] :
% 27.83/28.03 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 27.83/28.03 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 27.83/28.03 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 27.83/28.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 27.83/28.03 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_self__quotient__aux2,axiom,
% 27.83/28.03 ! [V_q,V_r,V_a] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 27.83/28.03 => ( 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))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_self__quotient__aux1,axiom,
% 27.83/28.03 ! [V_q,V_r,V_a] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 27.83/28.03 => ( 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))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_q__pos__lemma,axiom,
% 27.83/28.03 ! [V_r_H,V_q_H,V_b_H] :
% 27.83/28.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_q__neg__lemma,axiom,
% 27.83/28.03 ! [V_r_H,V_q_H,V_b_H] :
% 27.83/28.03 ( 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)))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 27.83/28.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 27.83/28.03
% 27.83/28.03 fof(fact_unique__quotient__lemma,axiom,
% 27.83/28.03 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 27.83/28.03 ( 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)))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 27.83/28.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_zdiv__mono2__lemma,axiom,
% 27.83/28.04 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 27.83/28.04 ( 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)
% 27.83/28.04 => ( 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)))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_unique__quotient__lemma__neg,axiom,
% 27.83/28.04 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 27.83/28.04 ( 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)))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 27.83/28.04 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 27.83/28.04 ( 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)
% 27.83/28.04 => ( 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)))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_nat__mult__less__cancel1,axiom,
% 27.83/28.04 ! [V_n_2,V_m_2,V_k_2] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 27.83/28.04 => ( 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)))
% 27.83/28.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_nat__mult__eq__cancel1,axiom,
% 27.83/28.04 ! [V_n_2,V_m_2,V_k_2] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 27.83/28.04 => ( 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)
% 27.83/28.04 <=> V_m_2 = V_n_2 ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_empty__subsetI,axiom,
% 27.83/28.04 ! [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)) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_le0,axiom,
% 27.83/28.04 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_le__refl,axiom,
% 27.83/28.04 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_nat__le__linear,axiom,
% 27.83/28.04 ! [V_n,V_m] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 27.83/28.04 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_eq__imp__le,axiom,
% 27.83/28.04 ! [V_n,V_m] :
% 27.83/28.04 ( V_m = V_n
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_le__trans,axiom,
% 27.83/28.04 ! [V_k,V_j,V_i] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_le__antisym,axiom,
% 27.83/28.04 ! [V_n,V_m] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 27.83/28.04 => V_m = V_n ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_subset__empty,axiom,
% 27.83/28.04 ! [V_A_2,T_b] :
% 27.83/28.04 ( 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))))
% 27.83/28.04 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_subset__Compl__self__eq,axiom,
% 27.83/28.04 ! [V_A_2,T_b] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 27.83/28.04 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 27.83/28.04 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_le__0__eq,axiom,
% 27.83/28.04 ! [V_n_2] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 27.83/28.04 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_insert__mono,axiom,
% 27.83/28.04 ! [V_a_2,V_D_2,V_C_2,T_b] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))
% 27.83/28.04 => 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))) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_subset__insertI2,axiom,
% 27.83/28.04 ! [V_b_2,V_B_2,V_A_2,T_b] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.04 => 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))) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_subset__insertI,axiom,
% 27.83/28.04 ! [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))) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_Suc__n__not__le__n,axiom,
% 27.83/28.04 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_not__less__eq__eq,axiom,
% 27.83/28.04 ! [V_n_2,V_m_2] :
% 27.83/28.04 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_le__Suc__eq,axiom,
% 27.83/28.04 ! [V_n_2,V_m_2] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 27.83/28.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.04 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_Suc__le__mono,axiom,
% 27.83/28.04 ! [V_m_2,V_n_2] :
% 27.83/28.04 ( 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)))
% 27.83/28.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_le__SucI,axiom,
% 27.83/28.04 ! [V_n,V_m] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_le__SucE,axiom,
% 27.83/28.04 ! [V_n,V_m] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 27.83/28.04 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 27.83/28.04 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_Suc__leD,axiom,
% 27.83/28.04 ! [V_n,V_m] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_less__or__eq__imp__le,axiom,
% 27.83/28.04 ! [V_n,V_m] :
% 27.83/28.04 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 27.83/28.04 | V_m = V_n )
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_le__neq__implies__less,axiom,
% 27.83/28.04 ! [V_n,V_m] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 27.83/28.04 => ( V_m != V_n
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_less__imp__le__nat,axiom,
% 27.83/28.04 ! [V_n,V_m] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_le__eq__less__or__eq,axiom,
% 27.83/28.04 ! [V_n_2,V_m_2] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.04 | V_m_2 = V_n_2 ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_nat__less__le,axiom,
% 27.83/28.04 ! [V_n_2,V_m_2] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.04 & V_m_2 != V_n_2 ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_termination__basic__simps_I5_J,axiom,
% 27.83/28.04 ! [V_y,V_x] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_add__leE,axiom,
% 27.83/28.04 ! [V_n,V_k,V_m] :
% 27.83/28.04 ( 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))
% 27.83/28.04 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 27.83/28.04 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_add__leD1,axiom,
% 27.83/28.04 ! [V_n,V_k,V_m] :
% 27.83/28.04 ( 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))
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_add__leD2,axiom,
% 27.83/28.04 ! [V_n,V_k,V_m] :
% 27.83/28.04 ( 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))
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_add__le__mono,axiom,
% 27.83/28.04 ! [V_l,V_k,V_j,V_i] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 27.83/28.04 => 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))) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_add__le__mono1,axiom,
% 27.83/28.04 ! [V_k,V_j,V_i] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 27.83/28.04 => 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))) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_trans__le__add2,axiom,
% 27.83/28.04 ! [V_m,V_j,V_i] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 27.83/28.04 => 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))) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_trans__le__add1,axiom,
% 27.83/28.04 ! [V_m,V_j,V_i] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 27.83/28.04 => 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))) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_nat__add__left__cancel__le,axiom,
% 27.83/28.04 ! [V_n_2,V_m_2,V_k_2] :
% 27.83/28.04 ( 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)))
% 27.83/28.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_le__iff__add,axiom,
% 27.83/28.04 ! [V_n_2,V_m_2] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.04 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_le__add1,axiom,
% 27.83/28.04 ! [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))) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_le__add2,axiom,
% 27.83/28.04 ! [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))) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_termination__basic__simps_I3_J,axiom,
% 27.83/28.04 ! [V_z,V_y,V_x] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 27.83/28.04 => 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))) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_termination__basic__simps_I4_J,axiom,
% 27.83/28.04 ! [V_y,V_z,V_x] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 27.83/28.04 => 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))) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_le__square,axiom,
% 27.83/28.04 ! [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))) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_le__cube,axiom,
% 27.83/28.04 ! [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)))) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mult__le__mono1,axiom,
% 27.83/28.04 ! [V_k,V_j,V_i] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 27.83/28.04 => 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))) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mult__le__mono2,axiom,
% 27.83/28.04 ! [V_k,V_j,V_i] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 27.83/28.04 => 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))) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mult__le__mono,axiom,
% 27.83/28.04 ! [V_l,V_k,V_j,V_i] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 27.83/28.04 => 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))) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_nat__mult__1,axiom,
% 27.83/28.04 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 27.83/28.04
% 27.83/28.04 fof(fact_nat__1__eq__mult__iff,axiom,
% 27.83/28.04 ! [V_n_2,V_m_2] :
% 27.83/28.04 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)
% 27.83/28.04 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 27.83/28.04 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_nat__mult__1__right,axiom,
% 27.83/28.04 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 27.83/28.04
% 27.83/28.04 fof(fact_nat__mult__eq__1__iff,axiom,
% 27.83/28.04 ! [V_n_2,V_m_2] :
% 27.83/28.04 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 27.83/28.04 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 27.83/28.04 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_less__fun__def,axiom,
% 27.83/28.04 ! [V_g_2,V_f_2,T_b,T_c] :
% 27.83/28.04 ( class_Orderings_Oord(T_c)
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 27.83/28.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 27.83/28.04 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_evaln__nonstrict,axiom,
% 27.83/28.04 ! [V_m,V_t,V_n,V_s,V_c] :
% 27.83/28.04 ( c_Natural_Oevaln(V_c,V_s,V_n,V_t)
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 27.83/28.04 => c_Natural_Oevaln(V_c,V_s,V_m,V_t) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_thin,axiom,
% 27.83/28.04 ! [V_Ga_2,V_ts_2,V_G_H_2,T_b] :
% 27.83/28.04 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2)
% 27.83/28.04 => ( 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))
% 27.83/28.04 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_weaken,axiom,
% 27.83/28.04 ! [V_ts_2,V_ts_H_2,V_Ga_2,T_b] :
% 27.83/28.04 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_H_2)
% 27.83/28.04 => ( 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))
% 27.83/28.04 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_asm,axiom,
% 27.83/28.04 ! [V_Ga_2,V_ts_2,T_b] :
% 27.83/28.04 ( 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))
% 27.83/28.04 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_subset__psubset__trans,axiom,
% 27.83/28.04 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_psubset__subset__trans,axiom,
% 27.83/28.04 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_psubset__imp__subset,axiom,
% 27.83/28.04 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_subset__iff__psubset__eq,axiom,
% 27.83/28.04 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.04 | V_A_2 = V_B_2 ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_psubset__eq,axiom,
% 27.83/28.04 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.04 & V_A_2 != V_B_2 ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_subset__singletonD,axiom,
% 27.83/28.04 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.04 ( 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)))))
% 27.83/28.04 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.04 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_nat__mult__le__cancel1,axiom,
% 27.83/28.04 ! [V_n_2,V_m_2,V_k_2] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 27.83/28.04 => ( 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)))
% 27.83/28.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_One__nat__def,axiom,
% 27.83/28.04 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_Suc__le__lessD,axiom,
% 27.83/28.04 ! [V_n,V_m] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_le__less__Suc__eq,axiom,
% 27.83/28.04 ! [V_n_2,V_m_2] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 27.83/28.04 <=> V_n_2 = V_m_2 ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_Suc__leI,axiom,
% 27.83/28.04 ! [V_n,V_m] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_le__imp__less__Suc,axiom,
% 27.83/28.04 ! [V_n,V_m] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_Suc__le__eq,axiom,
% 27.83/28.04 ! [V_n_2,V_m_2] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 27.83/28.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_less__Suc__eq__le,axiom,
% 27.83/28.04 ! [V_n_2,V_m_2] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 27.83/28.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_less__eq__Suc__le,axiom,
% 27.83/28.04 ! [V_m_2,V_n_2] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 27.83/28.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_Suc__eq__plus1,axiom,
% 27.83/28.04 ! [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)) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_Suc__eq__plus1__left,axiom,
% 27.83/28.04 ! [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) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mult__eq__self__implies__10,axiom,
% 27.83/28.04 ! [V_n,V_m] :
% 27.83/28.04 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 27.83/28.04 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 27.83/28.04 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_Suc__mult__le__cancel1,axiom,
% 27.83/28.04 ! [V_n_2,V_m_2,V_k_2] :
% 27.83/28.04 ( 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)))
% 27.83/28.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 27.83/28.04 ! [V_y_2,V_x_2] :
% 27.83/28.04 ( 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)))
% 27.83/28.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_zle__int,axiom,
% 27.83/28.04 ! [V_n_2,V_m_2] :
% 27.83/28.04 ( 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)))
% 27.83/28.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 27.83/28.04 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)) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_int__1,axiom,
% 27.83/28.04 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) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 27.83/28.04 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_one__le__mult__iff,axiom,
% 27.83/28.04 ! [V_n_2,V_m_2] :
% 27.83/28.04 ( 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)))
% 27.83/28.04 <=> ( 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))
% 27.83/28.04 & 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)) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mult__le__cancel1,axiom,
% 27.83/28.04 ! [V_n_2,V_m_2,V_k_2] :
% 27.83/28.04 ( 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)))
% 27.83/28.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mult__le__cancel2,axiom,
% 27.83/28.04 ! [V_n_2,V_k_2,V_m_2] :
% 27.83/28.04 ( 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)))
% 27.83/28.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 27.83/28.04 ! [V_y_2,V_x_2] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 27.83/28.04 => ( 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)))
% 27.83/28.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_nat__le__eq__zle,axiom,
% 27.83/28.04 ! [V_z_2,V_w_2] :
% 27.83/28.04 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 27.83/28.04 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 27.83/28.04 => ( 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)))
% 27.83/28.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 27.83/28.04 ! [V_n_2,V_m_2,V_k_2] :
% 27.83/28.04 ( 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)
% 27.83/28.04 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.04 | V_m_2 = V_n_2 ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_left__add__mult__distrib,axiom,
% 27.83/28.04 ! [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) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_transfer__morphism__nat__int,axiom,
% 27.83/28.04 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))) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_compl__le__compl__iff,axiom,
% 27.83/28.04 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.04 ( class_Lattices_Oboolean__algebra(T_b)
% 27.83/28.04 => ( 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)))
% 27.83/28.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_compl__mono,axiom,
% 27.83/28.04 ! [V_y,V_x,T_a] :
% 27.83/28.04 ( class_Lattices_Oboolean__algebra(T_a)
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 27.83/28.04 => 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))) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_ex__least__nat__less,axiom,
% 27.83/28.04 ! [V_n_2,V_Pa_2] :
% 27.83/28.04 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 27.83/28.04 => ( hBOOL(hAPP(V_Pa_2,V_n_2))
% 27.83/28.04 => ? [B_k] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2))
% 27.83/28.04 & ! [B_i] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 27.83/28.04 => ~ hBOOL(hAPP(V_Pa_2,B_i)) )
% 27.83/28.04 & 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)))) ) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_sgn__if,axiom,
% 27.83/28.04 ! [V_x,T_a] :
% 27.83/28.04 ( class_Groups_Osgn__if(T_a)
% 27.83/28.04 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.04 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 27.83/28.04 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 27.83/28.04 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 27.83/28.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 27.83/28.04 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_sgn__1__neg,axiom,
% 27.83/28.04 ! [V_a_2,T_b] :
% 27.83/28.04 ( class_Rings_Olinordered__idom(T_b)
% 27.83/28.04 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b))
% 27.83/28.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_sgn__neg,axiom,
% 27.83/28.04 ! [V_a,T_a] :
% 27.83/28.04 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.04 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_zsgn__def,axiom,
% 27.83/28.04 ! [V_i] :
% 27.83/28.04 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.04 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 27.83/28.04 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 27.83/28.04 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 27.83/28.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 27.83/28.04 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_divmod__int__rel__mod__eq,axiom,
% 27.83/28.04 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 27.83/28.04 ( 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)
% 27.83/28.04 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 27.83/28.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 27.83/28.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 27.83/28.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 27.83/28.04 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.04 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_equalityI,axiom,
% 27.83/28.04 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 27.83/28.04 => V_A_2 = V_B_2 ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_Compl__anti__mono,axiom,
% 27.83/28.04 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_Compl__subset__Compl__iff,axiom,
% 27.83/28.04 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)))
% 27.83/28.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_subset__refl,axiom,
% 27.83/28.04 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2)) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_set__eq__subset,axiom,
% 27.83/28.04 ! [T_b,V_B_2,V_A_2] :
% 27.83/28.04 ( V_A_2 = V_B_2
% 27.83/28.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_equalityD1,axiom,
% 27.83/28.04 ! [T_b,V_B_2,V_A_2] :
% 27.83/28.04 ( V_A_2 = V_B_2
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_equalityD2,axiom,
% 27.83/28.04 ! [T_b,V_B_2,V_A_2] :
% 27.83/28.04 ( V_A_2 = V_B_2
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_subset__trans,axiom,
% 27.83/28.04 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 27.83/28.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_equalityE,axiom,
% 27.83/28.04 ! [T_b,V_B_2,V_A_2] :
% 27.83/28.04 ( V_A_2 = V_B_2
% 27.83/28.04 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.04 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__mod__trivial,axiom,
% 27.83/28.04 ! [V_b,V_a,T_a] :
% 27.83/28.04 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.04 => 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) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_sgn__sgn,axiom,
% 27.83/28.04 ! [V_a,T_a] :
% 27.83/28.04 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.04 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Osgn__class_Osgn(T_a,V_a)) = c_Groups_Osgn__class_Osgn(T_a,V_a) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_double__complement,axiom,
% 27.83/28.04 ! [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 ).
% 27.83/28.04
% 27.83/28.04 fof(fact_Compl__eq__Compl__iff,axiom,
% 27.83/28.04 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.04 ( 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)
% 27.83/28.04 <=> V_A_2 = V_B_2 ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__0,axiom,
% 27.83/28.04 ! [V_a,T_a] :
% 27.83/28.04 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.04 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__by__0,axiom,
% 27.83/28.04 ! [V_a,T_a] :
% 27.83/28.04 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.04 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__self,axiom,
% 27.83/28.04 ! [V_a,T_a] :
% 27.83/28.04 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.04 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__add__self2,axiom,
% 27.83/28.04 ! [V_b,V_a,T_a] :
% 27.83/28.04 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.04 => 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) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__add__self1,axiom,
% 27.83/28.04 ! [V_a,V_b,T_a] :
% 27.83/28.04 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.04 => 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) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__add__right__eq,axiom,
% 27.83/28.04 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.04 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.04 => 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) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__add__left__eq,axiom,
% 27.83/28.04 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.04 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.04 => 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) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__add__eq,axiom,
% 27.83/28.04 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.04 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.04 => 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) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_zmod__simps_I2_J,axiom,
% 27.83/28.04 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.04 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.04 => 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) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_zmod__simps_I1_J,axiom,
% 27.83/28.04 ! [V_b,V_c,V_a,T_a] :
% 27.83/28.04 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.04 => 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) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__add__cong,axiom,
% 27.83/28.04 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 27.83/28.04 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.04 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 27.83/28.04 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 27.83/28.04 => 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) ) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__mult__right__eq,axiom,
% 27.83/28.04 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.04 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.04 => 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) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__mult__left__eq,axiom,
% 27.83/28.04 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.04 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.04 => 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) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__mult__eq,axiom,
% 27.83/28.04 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.04 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.04 => 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) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__mult__mult1,axiom,
% 27.83/28.04 ! [V_b,V_a,V_c,T_a] :
% 27.83/28.04 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.04 => 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)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__mult__mult2,axiom,
% 27.83/28.04 ! [V_b,V_c,V_a,T_a] :
% 27.83/28.04 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.04 => 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) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_zmod__simps_I4_J,axiom,
% 27.83/28.04 ! [V_b,V_c,V_a,T_a] :
% 27.83/28.04 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.04 => 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) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__mult__cong,axiom,
% 27.83/28.04 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 27.83/28.04 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.04 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 27.83/28.04 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 27.83/28.04 => 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) ) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__minus__cong,axiom,
% 27.83/28.04 ! [V_a_H,V_b,V_a,T_a] :
% 27.83/28.04 ( class_Divides_Oring__div(T_a)
% 27.83/28.04 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 27.83/28.04 => 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) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__minus__eq,axiom,
% 27.83/28.04 ! [V_b,V_a,T_a] :
% 27.83/28.04 ( class_Divides_Oring__div(T_a)
% 27.83/28.04 => 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) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_zmod__self,axiom,
% 27.83/28.04 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_zmod__zero,axiom,
% 27.83/28.04 ! [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) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_zmod__simps_I3_J,axiom,
% 27.83/28.04 ! [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) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_zmod__zmult1__eq,axiom,
% 27.83/28.04 ! [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) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_zminus__zmod,axiom,
% 27.83/28.04 ! [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) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_zmod__zminus__zminus,axiom,
% 27.83/28.04 ! [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)) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_zmod__zminus2,axiom,
% 27.83/28.04 ! [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)) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_sgn__0__0,axiom,
% 27.83/28.04 ! [V_a_2,T_b] :
% 27.83/28.04 ( class_Rings_Olinordered__idom(T_b)
% 27.83/28.04 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.04 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_sgn0,axiom,
% 27.83/28.04 ! [T_a] :
% 27.83/28.04 ( class_Groups_Osgn__if(T_a)
% 27.83/28.04 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_sgn__times,axiom,
% 27.83/28.04 ! [V_b,V_a,T_a] :
% 27.83/28.04 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.04 => c_Groups_Osgn__class_Osgn(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_a)),c_Groups_Osgn__class_Osgn(T_a,V_b)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__mult__self2__is__0,axiom,
% 27.83/28.04 ! [V_b,V_a,T_a] :
% 27.83/28.04 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.04 => 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) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__mult__self1__is__0,axiom,
% 27.83/28.04 ! [V_a,V_b,T_a] :
% 27.83/28.04 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.04 => 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) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__mult__self2,axiom,
% 27.83/28.04 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.04 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.04 => 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) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__mult__self1,axiom,
% 27.83/28.04 ! [V_b,V_c,V_a,T_a] :
% 27.83/28.04 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.04 => 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) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__by__1,axiom,
% 27.83/28.04 ! [V_a,T_a] :
% 27.83/28.04 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.04 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_zmod__le__nonneg__dividend,axiom,
% 27.83/28.04 ! [V_k,V_m] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 27.83/28.04 => 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)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 27.83/28.04 ! [V_y,V_x] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 27.83/28.04 => 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))) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_pos__mod__bound,axiom,
% 27.83/28.04 ! [V_a,V_b] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 27.83/28.04 => 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)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_neg__mod__bound,axiom,
% 27.83/28.04 ! [V_a,V_b] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.04 => 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))) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_zmod__eq__0__iff,axiom,
% 27.83/28.04 ! [V_d_2,V_m_2] :
% 27.83/28.04 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.04 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_zmod__zminus2__not__zero,axiom,
% 27.83/28.04 ! [V_l,V_k] :
% 27.83/28.04 ( 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)
% 27.83/28.04 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_zmod__zminus1__not__zero,axiom,
% 27.83/28.04 ! [V_l,V_k] :
% 27.83/28.04 ( 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)
% 27.83/28.04 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_pos__mod__sign,axiom,
% 27.83/28.04 ! [V_a,V_b] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 27.83/28.04 => 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))) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_pos__mod__conj,axiom,
% 27.83/28.04 ! [V_a,V_b] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 27.83/28.04 => ( 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)))
% 27.83/28.04 & 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)) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__pos__pos__trivial,axiom,
% 27.83/28.04 ! [V_b,V_a] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 27.83/28.04 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_neg__mod__sign,axiom,
% 27.83/28.04 ! [V_a,V_b] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.04 => 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))) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_neg__mod__conj,axiom,
% 27.83/28.04 ! [V_a,V_b] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.04 => ( 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)))
% 27.83/28.04 & 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))) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__neg__neg__trivial,axiom,
% 27.83/28.04 ! [V_b,V_a] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 27.83/28.04 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_sgn__less,axiom,
% 27.83/28.04 ! [V_a_2,T_b] :
% 27.83/28.04 ( class_Rings_Olinordered__idom(T_b)
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Osgn__class_Osgn(T_b,V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_sgn__greater,axiom,
% 27.83/28.04 ! [V_a_2,T_b] :
% 27.83/28.04 ( class_Rings_Olinordered__idom(T_b)
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Groups_Osgn__class_Osgn(T_b,V_a_2)))
% 27.83/28.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mult__left__idem,axiom,
% 27.83/28.04 ! [V_b,V_a,T_a] :
% 27.83/28.04 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 27.83/28.04 => 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) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mult__idem,axiom,
% 27.83/28.04 ! [V_x,T_a] :
% 27.83/28.04 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 27.83/28.04 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_times_Oidem,axiom,
% 27.83/28.04 ! [V_a,T_a] :
% 27.83/28.04 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 27.83/28.04 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_compl__eq__compl__iff,axiom,
% 27.83/28.04 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.04 ( class_Lattices_Oboolean__algebra(T_b)
% 27.83/28.04 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)
% 27.83/28.04 <=> V_x_2 = V_y_2 ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_uminus__apply,axiom,
% 27.83/28.04 ! [V_x_2,V_A_2,T_c,T_b] :
% 27.83/28.04 ( class_Groups_Ouminus(T_b)
% 27.83/28.04 => 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)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_double__compl,axiom,
% 27.83/28.04 ! [V_x,T_a] :
% 27.83/28.04 ( class_Lattices_Oboolean__algebra(T_a)
% 27.83/28.04 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_mod__pos__neg__trivial,axiom,
% 27.83/28.04 ! [V_b,V_a] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 27.83/28.04 => ( 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)))
% 27.83/28.04 => 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) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_sgn__pos,axiom,
% 27.83/28.04 ! [V_a,T_a] :
% 27.83/28.04 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.04 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_sgn__1__pos,axiom,
% 27.83/28.04 ! [V_a_2,T_b] :
% 27.83/28.04 ( class_Rings_Olinordered__idom(T_b)
% 27.83/28.04 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b)
% 27.83/28.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_split__zmod,axiom,
% 27.83/28.04 ! [V_k_2,V_n_2,V_Pa_2] :
% 27.83/28.04 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 27.83/28.04 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.04 => hBOOL(hAPP(V_Pa_2,V_n_2)) )
% 27.83/28.04 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 27.83/28.04 => ! [B_i,B_j] :
% 27.83/28.04 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 27.83/28.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 27.83/28.04 & 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) )
% 27.83/28.04 => hBOOL(hAPP(V_Pa_2,B_j)) ) )
% 27.83/28.04 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.04 => ! [B_i,B_j] :
% 27.83/28.04 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 27.83/28.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.04 & 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) )
% 27.83/28.04 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_zmult2__lemma__aux3,axiom,
% 27.83/28.04 ! [V_q,V_b,V_r,V_c] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 27.83/28.04 => 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))) ) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_zmult2__lemma__aux4,axiom,
% 27.83/28.04 ! [V_q,V_b,V_r,V_c] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 27.83/28.04 => 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))) ) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_zmult2__lemma__aux1,axiom,
% 27.83/28.04 ! [V_q,V_r,V_b,V_c] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.04 => 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))) ) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_zmult2__lemma__aux2,axiom,
% 27.83/28.04 ! [V_q,V_r,V_b,V_c] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.04 => 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))) ) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_z3mod__def,axiom,
% 27.83/28.04 ! [V_k,V_l] :
% 27.83/28.04 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 27.83/28.04 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 27.83/28.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 27.83/28.04 => 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)) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_split__pos__lemma,axiom,
% 27.83/28.04 ! [V_n_2,V_Pa_2,V_k_2] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 27.83/28.04 => ( 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)))
% 27.83/28.04 <=> ! [B_i,B_j] :
% 27.83/28.04 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 27.83/28.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 27.83/28.04 & 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) )
% 27.83/28.04 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_split__neg__lemma,axiom,
% 27.83/28.04 ! [V_n_2,V_Pa_2,V_k_2] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.04 => ( 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)))
% 27.83/28.04 <=> ! [B_i,B_j] :
% 27.83/28.04 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 27.83/28.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.04 & 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) )
% 27.83/28.04 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_zmod__zmult2__eq,axiom,
% 27.83/28.04 ! [V_b,V_a,V_c] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 27.83/28.04 => 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)) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 27.83/28.04 ! [V_y,V_x] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 27.83/28.04 => 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))) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_split__zdiv,axiom,
% 27.83/28.04 ! [V_k_2,V_n_2,V_Pa_2] :
% 27.83/28.04 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)))
% 27.83/28.04 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.04 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 27.83/28.04 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 27.83/28.04 => ! [B_i] :
% 27.83/28.04 ( ? [B_j] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 27.83/28.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 27.83/28.04 & 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) )
% 27.83/28.04 => hBOOL(hAPP(V_Pa_2,B_i)) ) )
% 27.83/28.04 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.04 => ! [B_i] :
% 27.83/28.04 ( ? [B_j] :
% 27.83/28.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 27.83/28.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.04 & 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) )
% 27.83/28.04 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_divmod__int__rel__div__eq,axiom,
% 27.83/28.04 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 27.83/28.04 ( 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)
% 27.83/28.04 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 27.83/28.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 27.83/28.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 27.83/28.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 27.83/28.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 27.83/28.04 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.04 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_split__div_H,axiom,
% 27.83/28.04 ! [V_n_2,V_m_2,V_Pa_2] :
% 27.83/28.04 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2)))
% 27.83/28.04 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.04 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 27.83/28.04 | ? [B_q] :
% 27.83/28.04 ( 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))
% 27.83/28.04 & 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))))
% 27.83/28.04 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_div__add1__eq,axiom,
% 27.83/28.04 ! [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)) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 27.83/28.04 ! [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)) ).
% 27.83/28.04
% 27.83/28.04 fof(fact_zdiv__int,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__mult2__eq,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__mult1__eq,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__le__mono,axiom,
% 27.83/28.05 ! [V_k,V_n,V_m] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 27.83/28.05 => 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))) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__le__dividend,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zdiv__zero,axiom,
% 27.83/28.05 ! [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) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 27.83/28.05 ! [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) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__mult2__eq,axiom,
% 27.83/28.05 ! [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) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__less,axiom,
% 27.83/28.05 ! [V_n,V_m] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 27.83/28.05 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__less__eq__dividend,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__mult__distrib,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__mult__distrib2,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zdiv__zminus2,axiom,
% 27.83/28.05 ! [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) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zdiv__zminus__zminus,axiom,
% 27.83/28.05 ! [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) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__0,axiom,
% 27.83/28.05 ! [V_a,T_a] :
% 27.83/28.05 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__by__0,axiom,
% 27.83/28.05 ! [V_a,T_a] :
% 27.83/28.05 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__by__1,axiom,
% 27.83/28.05 ! [V_a,T_a] :
% 27.83/28.05 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.05 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_nat__div__distrib,axiom,
% 27.83/28.05 ! [V_y,V_x] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 27.83/28.05 => 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)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 27.83/28.05 ! [V_y,V_x] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 27.83/28.05 => 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)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__1,axiom,
% 27.83/28.05 ! [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 ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__less,axiom,
% 27.83/28.05 ! [V_n,V_m] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 27.83/28.05 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_nat__mult__div__cancel__disj,axiom,
% 27.83/28.05 ! [V_n,V_m,V_k] :
% 27.83/28.05 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.05 => 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) )
% 27.83/28.05 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.05 => 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) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__Suc,axiom,
% 27.83/28.05 ! [V_n,V_m] :
% 27.83/28.05 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 27.83/28.05 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 27.83/28.05 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 27.83/28.05 => 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)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__1,axiom,
% 27.83/28.05 ! [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) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 27.83/28.05 ! [V_y,V_x] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 27.83/28.05 => 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))) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__less__divisor,axiom,
% 27.83/28.05 ! [V_m,V_n] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 27.83/28.05 => 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)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__neg__pos__less0,axiom,
% 27.83/28.05 ! [V_b,V_a] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 27.83/28.05 => 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))) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 27.83/28.05 ! [V_a_2,V_b_2] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.05 => ( 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)))
% 27.83/28.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 27.83/28.05 ! [V_a_2,V_b_2] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 27.83/28.05 => ( 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)))
% 27.83/28.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zdiv__self,axiom,
% 27.83/28.05 ! [V_a] :
% 27.83/28.05 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.05 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__eq__0__iff,axiom,
% 27.83/28.05 ! [V_d_2,V_m_2] :
% 27.83/28.05 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.05 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_DIVISION__BY__ZERO,axiom,
% 27.83/28.05 ! [V_a] :
% 27.83/28.05 ( 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)
% 27.83/28.05 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zmod__zdiv__trivial,axiom,
% 27.83/28.05 ! [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) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__mult__self3,axiom,
% 27.83/28.05 ! [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) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zdiv__zadd1__eq,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zmod__int,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__mult__mult1,axiom,
% 27.83/28.05 ! [V_b,V_a,V_c,T_a] :
% 27.83/28.05 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.05 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.05 => 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) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__mult__mult2,axiom,
% 27.83/28.05 ! [V_b,V_a,V_c,T_a] :
% 27.83/28.05 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.05 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.05 => 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) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__mult__self1__is__id,axiom,
% 27.83/28.05 ! [V_a,V_b,T_a] :
% 27.83/28.05 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.05 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.05 => 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 ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__mult__self2__is__id,axiom,
% 27.83/28.05 ! [V_a,V_b,T_a] :
% 27.83/28.05 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.05 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.05 => 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 ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__mult__mult1__if,axiom,
% 27.83/28.05 ! [V_b,V_a,V_c,T_a] :
% 27.83/28.05 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.05 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.05 => 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) )
% 27.83/28.05 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.05 => 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) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__self,axiom,
% 27.83/28.05 ! [V_a,T_a] :
% 27.83/28.05 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.05 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.05 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__div__trivial,axiom,
% 27.83/28.05 ! [V_b,V_a,T_a] :
% 27.83/28.05 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__le__mono2,axiom,
% 27.83/28.05 ! [V_k,V_n,V_m] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 27.83/28.05 => 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))) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__mult__self__is__m,axiom,
% 27.83/28.05 ! [V_m,V_n] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 27.83/28.05 => 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 ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__mult__self1__is__m,axiom,
% 27.83/28.05 ! [V_m,V_n] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 27.83/28.05 => 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 ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_nat__mult__div__cancel1,axiom,
% 27.83/28.05 ! [V_n,V_m,V_k] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__less__dividend,axiom,
% 27.83/28.05 ! [V_m,V_n] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 27.83/28.05 => 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)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zdiv__mono1__neg,axiom,
% 27.83/28.05 ! [V_b,V_a_H,V_a] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.05 => 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))) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zdiv__mono1,axiom,
% 27.83/28.05 ! [V_b,V_a_H,V_a] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 27.83/28.05 => 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))) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__neg__neg__trivial,axiom,
% 27.83/28.05 ! [V_b,V_a] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 27.83/28.05 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zdiv__mono2__neg,axiom,
% 27.83/28.05 ! [V_b,V_b_H,V_a] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 27.83/28.05 => 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))) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__nonpos__pos__le0,axiom,
% 27.83/28.05 ! [V_b,V_a] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 27.83/28.05 => 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))) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 27.83/28.05 ! [V_a_2,V_b_2] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.05 => ( 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)))
% 27.83/28.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__pos__pos__trivial,axiom,
% 27.83/28.05 ! [V_b,V_a] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 27.83/28.05 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__nonneg__neg__le0,axiom,
% 27.83/28.05 ! [V_b,V_a] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.05 => 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))) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zdiv__mono2,axiom,
% 27.83/28.05 ! [V_b,V_b_H,V_a] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 27.83/28.05 => 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))) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 27.83/28.05 ! [V_b_2,V_a_2] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 27.83/28.05 => ( 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)))
% 27.83/28.05 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2))
% 27.83/28.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 27.83/28.05 ! [V_i_2,V_k_2] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 27.83/28.05 => ( 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)))
% 27.83/28.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 27.83/28.05 ! [V_a_2,V_b_2] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 27.83/28.05 => ( 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)))
% 27.83/28.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zdiv__eq__0__iff,axiom,
% 27.83/28.05 ! [V_k_2,V_i_2] :
% 27.83/28.05 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.05 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.05 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 27.83/28.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 27.83/28.05 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__le__divisor,axiom,
% 27.83/28.05 ! [V_m,V_n] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 27.83/28.05 => 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)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_int__div__less__self,axiom,
% 27.83/28.05 ! [V_k,V_x] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 27.83/28.05 => 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)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zdiv__zmult2__eq,axiom,
% 27.83/28.05 ! [V_b,V_a,V_c] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__mult__self4,axiom,
% 27.83/28.05 ! [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) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zdiv__zmod__equality2,axiom,
% 27.83/28.05 ! [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) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zdiv__zmod__equality,axiom,
% 27.83/28.05 ! [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) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zdiv__zmult1__eq,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zmod__zdiv__equality,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__mult__self2,axiom,
% 27.83/28.05 ! [V_c,V_a,V_b,T_a] :
% 27.83/28.05 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.05 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.05 => 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)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__mult__self1,axiom,
% 27.83/28.05 ! [V_c,V_a,V_b,T_a] :
% 27.83/28.05 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.05 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.05 => 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)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__add__self2,axiom,
% 27.83/28.05 ! [V_a,V_b,T_a] :
% 27.83/28.05 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.05 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.05 => 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)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__add__self1,axiom,
% 27.83/28.05 ! [V_a,V_b,T_a] :
% 27.83/28.05 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.05 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.05 => 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)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__mod__equality,axiom,
% 27.83/28.05 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.05 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__mod__equality2,axiom,
% 27.83/28.05 ! [V_c,V_a,V_b,T_a] :
% 27.83/28.05 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__div__equality,axiom,
% 27.83/28.05 ! [V_b,V_a,T_a] :
% 27.83/28.05 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.05 => 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 ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__div__equality2,axiom,
% 27.83/28.05 ! [V_a,V_b,T_a] :
% 27.83/28.05 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.05 => 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 ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 27.83/28.05 ! [V_b,V_a,T_a] :
% 27.83/28.05 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.05 => 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 ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_split__div,axiom,
% 27.83/28.05 ! [V_k_2,V_n_2,V_Pa_2] :
% 27.83/28.05 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2)))
% 27.83/28.05 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.05 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 27.83/28.05 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.05 => ! [B_i,B_j] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 27.83/28.05 => ( 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)
% 27.83/28.05 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_split__mod,axiom,
% 27.83/28.05 ! [V_k_2,V_n_2,V_Pa_2] :
% 27.83/28.05 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2)))
% 27.83/28.05 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.05 => hBOOL(hAPP(V_Pa_2,V_n_2)) )
% 27.83/28.05 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.05 => ! [B_i,B_j] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 27.83/28.05 => ( 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)
% 27.83/28.05 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__lemma,axiom,
% 27.83/28.05 ! [V_q,V_b,V_r,V_c] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 27.83/28.05 => 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))) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_Suc__times__mod__eq,axiom,
% 27.83/28.05 ! [V_m,V_k] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_nat__mod__distrib,axiom,
% 27.83/28.05 ! [V_y,V_x] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 27.83/28.05 => 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)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 27.83/28.05 ! [V_y,V_x] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 27.83/28.05 => 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)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_split__div__lemma,axiom,
% 27.83/28.05 ! [V_m_2,V_q_2,V_n_2] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 27.83/28.05 => ( ( 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))
% 27.83/28.05 & 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)))) )
% 27.83/28.05 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_z3div__def,axiom,
% 27.83/28.05 ! [V_k,V_l] :
% 27.83/28.05 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 27.83/28.05 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 27.83/28.05 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 27.83/28.05 => 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))) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zdiv__zminus2__eq__if,axiom,
% 27.83/28.05 ! [V_a,V_b] :
% 27.83/28.05 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.05 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.05 => 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)) )
% 27.83/28.05 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.05 => 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)) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zdiv__zminus1__eq__if,axiom,
% 27.83/28.05 ! [V_a,V_b] :
% 27.83/28.05 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.05 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.05 => 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)) )
% 27.83/28.05 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.05 => 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)) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_le__div__geq,axiom,
% 27.83/28.05 ! [V_m,V_n] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 27.83/28.05 => 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)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__div__decomp,axiom,
% 27.83/28.05 ! [V_b,V_a,T_a] :
% 27.83/28.05 ( class_Divides_Osemiring__div(T_a)
% 27.83/28.05 => V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 27.83/28.05 ! [V_y,V_x] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 27.83/28.05 => 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)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_incr__mult__lemma,axiom,
% 27.83/28.05 ! [V_k_2,V_Pa_2,V_d_2] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 27.83/28.05 => ( ! [B_x] :
% 27.83/28.05 ( hBOOL(hAPP(V_Pa_2,B_x))
% 27.83/28.05 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 27.83/28.05 => ! [B_x] :
% 27.83/28.05 ( hBOOL(hAPP(V_Pa_2,B_x))
% 27.83/28.05 => 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)))) ) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_field__le__mult__one__interval,axiom,
% 27.83/28.05 ! [V_y,V_x,T_a] :
% 27.83/28.05 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 27.83/28.05 => ( ! [B_z] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 27.83/28.05 => 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)) ) )
% 27.83/28.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__commute,axiom,
% 27.83/28.05 ! [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) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__eq__diff__eq,axiom,
% 27.83/28.05 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 27.83/28.05 ( class_Groups_Oab__group__add(T_b)
% 27.83/28.05 => ( 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)
% 27.83/28.05 => ( V_a_2 = V_b_2
% 27.83/28.05 <=> V_c_2 = V_d_2 ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_of__int__diff,axiom,
% 27.83/28.05 ! [V_z,V_w,T_a] :
% 27.83/28.05 ( class_Rings_Oring__1(T_a)
% 27.83/28.05 => 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)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_minus__apply,axiom,
% 27.83/28.05 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 27.83/28.05 ( class_Groups_Ominus(T_b)
% 27.83/28.05 => 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)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_of__nat__diff,axiom,
% 27.83/28.05 ! [V_m,V_n,T_a] :
% 27.83/28.05 ( class_Rings_Oring__1(T_a)
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 27.83/28.05 => 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)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zdiff__int,axiom,
% 27.83/28.05 ! [V_m,V_n] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 27.83/28.05 => 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)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__eq__diff__less__eq,axiom,
% 27.83/28.05 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add(T_b)
% 27.83/28.05 => ( 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)
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 27.83/28.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_right__minus__eq,axiom,
% 27.83/28.05 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.05 ( class_Groups_Ogroup__add(T_b)
% 27.83/28.05 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.05 <=> V_a_2 = V_b_2 ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_eq__iff__diff__eq__0,axiom,
% 27.83/28.05 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.05 ( class_Groups_Oab__group__add(T_b)
% 27.83/28.05 => ( V_a_2 = V_b_2
% 27.83/28.05 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__self,axiom,
% 27.83/28.05 ! [V_a,T_a] :
% 27.83/28.05 ( class_Groups_Ogroup__add(T_a)
% 27.83/28.05 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__0__right,axiom,
% 27.83/28.05 ! [V_a,T_a] :
% 27.83/28.05 ( class_Groups_Ogroup__add(T_a)
% 27.83/28.05 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__eq__diff__less,axiom,
% 27.83/28.05 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add(T_b)
% 27.83/28.05 => ( 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)
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 27.83/28.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__add__cancel,axiom,
% 27.83/28.05 ! [V_b,V_a,T_a] :
% 27.83/28.05 ( class_Groups_Ogroup__add(T_a)
% 27.83/28.05 => 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 ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_add__diff__cancel,axiom,
% 27.83/28.05 ! [V_b,V_a,T_a] :
% 27.83/28.05 ( class_Groups_Ogroup__add(T_a)
% 27.83/28.05 => 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 ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_minus__diff__eq,axiom,
% 27.83/28.05 ! [V_b,V_a,T_a] :
% 27.83/28.05 ( class_Groups_Oab__group__add(T_a)
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__diff__right__eq,axiom,
% 27.83/28.05 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.05 ( class_Divides_Oring__div(T_a)
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__diff__left__eq,axiom,
% 27.83/28.05 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.05 ( class_Divides_Oring__div(T_a)
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__diff__eq,axiom,
% 27.83/28.05 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.05 ( class_Divides_Oring__div(T_a)
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__diff__cong,axiom,
% 27.83/28.05 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 27.83/28.05 ( class_Divides_Oring__div(T_a)
% 27.83/28.05 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 27.83/28.05 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 27.83/28.05 => 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) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diffs0__imp__equal,axiom,
% 27.83/28.05 ! [V_n,V_m] :
% 27.83/28.05 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.05 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.05 => V_m = V_n ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__self__eq__0,axiom,
% 27.83/28.05 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_minus__nat_Odiff__0,axiom,
% 27.83/28.05 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__0__eq__0,axiom,
% 27.83/28.05 ! [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) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_Suc__diff__diff,axiom,
% 27.83/28.05 ! [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) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__Suc__Suc,axiom,
% 27.83/28.05 ! [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) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_less__imp__diff__less,axiom,
% 27.83/28.05 ! [V_n,V_k,V_j] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 27.83/28.05 => 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)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__less__mono2,axiom,
% 27.83/28.05 ! [V_l,V_n,V_m] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 27.83/28.05 => 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))) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__geq,axiom,
% 27.83/28.05 ! [V_n,V_m] :
% 27.83/28.05 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__if,axiom,
% 27.83/28.05 ! [V_n,V_m] :
% 27.83/28.05 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 27.83/28.05 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 27.83/28.05 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 27.83/28.05 => 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) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__add__inverse2,axiom,
% 27.83/28.05 ! [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 ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__add__inverse,axiom,
% 27.83/28.05 ! [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 ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__diff__left,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__cancel,axiom,
% 27.83/28.05 ! [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) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__cancel2,axiom,
% 27.83/28.05 ! [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) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_le__diff__iff,axiom,
% 27.83/28.05 ! [V_n_2,V_m_2,V_k_2] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 27.83/28.05 => ( 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)))
% 27.83/28.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_Nat_Odiff__diff__eq,axiom,
% 27.83/28.05 ! [V_n,V_m,V_k] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 27.83/28.05 => 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) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_eq__diff__iff,axiom,
% 27.83/28.05 ! [V_n_2,V_m_2,V_k_2] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 27.83/28.05 => ( 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)
% 27.83/28.05 <=> V_m_2 = V_n_2 ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__diff__cancel,axiom,
% 27.83/28.05 ! [V_n,V_i] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 27.83/28.05 => 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 ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__le__mono,axiom,
% 27.83/28.05 ! [V_l,V_n,V_m] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 27.83/28.05 => 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))) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__le__mono2,axiom,
% 27.83/28.05 ! [V_l,V_n,V_m] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 27.83/28.05 => 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))) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__le__self,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_le__mod__geq,axiom,
% 27.83/28.05 ! [V_m,V_n] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zdiff__zmult__distrib2,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zdiff__zmult__distrib,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__mult__distrib,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__mult__distrib2,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zdiff__zmod__right,axiom,
% 27.83/28.05 ! [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) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zdiff__zmod__left,axiom,
% 27.83/28.05 ! [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) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_nat__diff__distrib,axiom,
% 27.83/28.05 ! [V_z,V_z_H] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 27.83/28.05 => 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)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zdiff__int__split,axiom,
% 27.83/28.05 ! [V_y_2,V_x_2,V_Pa_2] :
% 27.83/28.05 ( 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))))
% 27.83/28.05 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 27.83/28.05 => 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)))) )
% 27.83/28.05 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 27.83/28.05 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_le__iff__diff__le__0,axiom,
% 27.83/28.05 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add(T_b)
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 27.83/28.05 <=> 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))) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_less__iff__diff__less__0,axiom,
% 27.83/28.05 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add(T_b)
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 27.83/28.05 <=> 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))) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_eq__add__iff2,axiom,
% 27.83/28.05 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 27.83/28.05 ( class_Rings_Oring(T_b)
% 27.83/28.05 => ( 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)
% 27.83/28.05 <=> 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) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_eq__add__iff1,axiom,
% 27.83/28.05 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 27.83/28.05 ( class_Rings_Oring(T_b)
% 27.83/28.05 => ( 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)
% 27.83/28.05 <=> 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 ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__0,axiom,
% 27.83/28.05 ! [V_a,T_a] :
% 27.83/28.05 ( class_Groups_Ogroup__add(T_a)
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 27.83/28.05 ! [V_y,V_x,T_a] :
% 27.83/28.05 ( class_Rings_Ocomm__ring__1(T_a)
% 27.83/28.05 => 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)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__def,axiom,
% 27.83/28.05 ! [V_b,V_a,T_a] :
% 27.83/28.05 ( class_Groups_Ogroup__add(T_a)
% 27.83/28.05 => 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)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_ab__diff__minus,axiom,
% 27.83/28.05 ! [V_b,V_a,T_a] :
% 27.83/28.05 ( class_Groups_Oab__group__add(T_a)
% 27.83/28.05 => 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)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__minus__eq__add,axiom,
% 27.83/28.05 ! [V_b,V_a,T_a] :
% 27.83/28.05 ( class_Groups_Ogroup__add(T_a)
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_less__bin__lemma,axiom,
% 27.83/28.05 ! [V_l_2,V_k_2] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 27.83/28.05 <=> 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))) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__less,axiom,
% 27.83/28.05 ! [V_m,V_n] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 27.83/28.05 => 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)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zero__less__diff,axiom,
% 27.83/28.05 ! [V_m_2,V_n_2] :
% 27.83/28.05 ( 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)))
% 27.83/28.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__less__Suc,axiom,
% 27.83/28.05 ! [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))) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__add__0,axiom,
% 27.83/28.05 ! [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) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__is__0__eq_H,axiom,
% 27.83/28.05 ! [V_n,V_m] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 27.83/28.05 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__is__0__eq,axiom,
% 27.83/28.05 ! [V_n_2,V_m_2] :
% 27.83/28.05 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_less__diff__conv,axiom,
% 27.83/28.05 ! [V_k_2,V_j_2,V_i_2] :
% 27.83/28.05 ( 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)))
% 27.83/28.05 <=> 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)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_add__diff__inverse,axiom,
% 27.83/28.05 ! [V_n,V_m] :
% 27.83/28.05 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 27.83/28.05 => 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 ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_Suc__diff__le,axiom,
% 27.83/28.05 ! [V_m,V_n] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 27.83/28.05 => 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)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_less__diff__iff,axiom,
% 27.83/28.05 ! [V_n_2,V_m_2,V_k_2] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 27.83/28.05 => ( 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)))
% 27.83/28.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__less__mono,axiom,
% 27.83/28.05 ! [V_c,V_b,V_a] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 27.83/28.05 => 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))) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__add__assoc2,axiom,
% 27.83/28.05 ! [V_i,V_j,V_k] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_add__diff__assoc2,axiom,
% 27.83/28.05 ! [V_i,V_j,V_k] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__add__assoc,axiom,
% 27.83/28.05 ! [V_i,V_j,V_k] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 27.83/28.05 => 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)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_le__imp__diff__is__add,axiom,
% 27.83/28.05 ! [V_k_2,V_j_2,V_i_2] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 27.83/28.05 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 27.83/28.05 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_le__add__diff__inverse2,axiom,
% 27.83/28.05 ! [V_m,V_n] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 27.83/28.05 => 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 ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_le__diff__conv2,axiom,
% 27.83/28.05 ! [V_i_2,V_j_2,V_k_2] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 27.83/28.05 => ( 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)))
% 27.83/28.05 <=> 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)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_add__diff__assoc,axiom,
% 27.83/28.05 ! [V_i,V_j,V_k] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_le__add__diff__inverse,axiom,
% 27.83/28.05 ! [V_m,V_n] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 27.83/28.05 => 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 ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_le__add__diff,axiom,
% 27.83/28.05 ! [V_m,V_n,V_k] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 27.83/28.05 => 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))) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_le__diff__conv,axiom,
% 27.83/28.05 ! [V_i_2,V_k_2,V_j_2] :
% 27.83/28.05 ( 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))
% 27.83/28.05 <=> 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))) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__diff__right,axiom,
% 27.83/28.05 ! [V_i,V_j,V_k] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__int__def__symmetric,axiom,
% 27.83/28.05 ! [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) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__int__def,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__Suc__1,axiom,
% 27.83/28.05 ! [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 ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 27.83/28.05 ! [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) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__mod__equality_H,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mult__div__cancel,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_Divides_Omod__div__equality_H,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_tsub__eq,axiom,
% 27.83/28.05 ! [V_x,V_y] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 27.83/28.05 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_le__add__iff2,axiom,
% 27.83/28.05 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 27.83/28.05 ( class_Rings_Oordered__ring(T_b)
% 27.83/28.05 => ( 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)))
% 27.83/28.05 <=> 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))) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_le__add__iff1,axiom,
% 27.83/28.05 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 27.83/28.05 ( class_Rings_Oordered__ring(T_b)
% 27.83/28.05 => ( 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)))
% 27.83/28.05 <=> 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)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_less__add__iff1,axiom,
% 27.83/28.05 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 27.83/28.05 ( class_Rings_Oordered__ring(T_b)
% 27.83/28.05 => ( 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)))
% 27.83/28.05 <=> 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)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_less__add__iff2,axiom,
% 27.83/28.05 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 27.83/28.05 ( class_Rings_Oordered__ring(T_b)
% 27.83/28.05 => ( 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)))
% 27.83/28.05 <=> 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))) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_Suc__pred,axiom,
% 27.83/28.05 ! [V_n] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 27.83/28.05 => 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 ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__Suc__less,axiom,
% 27.83/28.05 ! [V_i,V_n] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 27.83/28.05 => 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)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_nat__diff__split,axiom,
% 27.83/28.05 ! [V_b_2,V_a_2,V_Pa_2] :
% 27.83/28.05 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 27.83/28.05 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 27.83/28.05 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 27.83/28.05 & ! [B_d] :
% 27.83/28.05 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 27.83/28.05 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_nat__diff__split__asm,axiom,
% 27.83/28.05 ! [V_b_2,V_a_2,V_Pa_2] :
% 27.83/28.05 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 27.83/28.05 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 27.83/28.05 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 27.83/28.05 | ? [B_d] :
% 27.83/28.05 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 27.83/28.05 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zle__diff1__eq,axiom,
% 27.83/28.05 ! [V_z_2,V_w_2] :
% 27.83/28.05 ( 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))))
% 27.83/28.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__Suc__diff__eq2,axiom,
% 27.83/28.05 ! [V_m,V_j,V_k] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 27.83/28.05 => 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)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_diff__Suc__diff__eq1,axiom,
% 27.83/28.05 ! [V_m,V_j,V_k] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 27.83/28.05 => 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)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_nat__le__add__iff1,axiom,
% 27.83/28.05 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 27.83/28.05 => ( 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)))
% 27.83/28.05 <=> 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)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_nat__diff__add__eq1,axiom,
% 27.83/28.05 ! [V_n,V_m,V_u,V_i,V_j] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_nat__eq__add__iff1,axiom,
% 27.83/28.05 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 27.83/28.05 => ( 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)
% 27.83/28.05 <=> 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 ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_nat__le__add__iff2,axiom,
% 27.83/28.05 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 27.83/28.05 => ( 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)))
% 27.83/28.05 <=> 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))) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_nat__diff__add__eq2,axiom,
% 27.83/28.05 ! [V_n,V_m,V_u,V_j,V_i] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 27.83/28.05 => 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)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_nat__eq__add__iff2,axiom,
% 27.83/28.05 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 27.83/28.05 => ( 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)
% 27.83/28.05 <=> 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) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zmod__zminus2__eq__if,axiom,
% 27.83/28.05 ! [V_b,V_a] :
% 27.83/28.05 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.05 => 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) )
% 27.83/28.05 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.05 => 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) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zmod__zminus1__eq__if,axiom,
% 27.83/28.05 ! [V_b,V_a] :
% 27.83/28.05 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.05 => 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) )
% 27.83/28.05 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.05 => 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)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zmod__zdiv__equality_H,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zmult__div__cancel,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_tsub__def,axiom,
% 27.83/28.05 ! [V_x,V_y] :
% 27.83/28.05 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 27.83/28.05 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 27.83/28.05 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 27.83/28.05 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_Suc__pred_H,axiom,
% 27.83/28.05 ! [V_n] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 27.83/28.05 => 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))) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_Suc__diff__1,axiom,
% 27.83/28.05 ! [V_n] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 27.83/28.05 => 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 ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_nat__less__add__iff1,axiom,
% 27.83/28.05 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 27.83/28.05 => ( 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)))
% 27.83/28.05 <=> 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)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_nat__less__add__iff2,axiom,
% 27.83/28.05 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 27.83/28.05 => ( 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)))
% 27.83/28.05 <=> 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))) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_add__eq__if,axiom,
% 27.83/28.05 ! [V_n,V_m] :
% 27.83/28.05 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.05 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 27.83/28.05 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.05 => 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)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__if,axiom,
% 27.83/28.05 ! [V_m,V_n] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 27.83/28.05 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 27.83/28.05 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 27.83/28.05 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 27.83/28.05 => 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)) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_div__geq,axiom,
% 27.83/28.05 ! [V_m,V_n] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 27.83/28.05 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 27.83/28.05 => 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)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mult__eq__if,axiom,
% 27.83/28.05 ! [V_n,V_m] :
% 27.83/28.05 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.05 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 27.83/28.05 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.05 => 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)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_int__power__div__base,axiom,
% 27.83/28.05 ! [V_k,V_m] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 27.83/28.05 => 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)))) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_decr__mult__lemma,axiom,
% 27.83/28.05 ! [V_k_2,V_Pa_2,V_d_2] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 27.83/28.05 => ( ! [B_x] :
% 27.83/28.05 ( hBOOL(hAPP(V_Pa_2,B_x))
% 27.83/28.05 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 27.83/28.05 => ! [B_x] :
% 27.83/28.05 ( hBOOL(hAPP(V_Pa_2,B_x))
% 27.83/28.05 => 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)))) ) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_incr__lemma,axiom,
% 27.83/28.05 ! [V_x,V_z,V_d] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 27.83/28.05 => 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)))) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_decr__lemma,axiom,
% 27.83/28.05 ! [V_z,V_x,V_d] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 27.83/28.05 => 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)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_nat__mod__eq__lemma,axiom,
% 27.83/28.05 ! [V_y,V_n,V_x] :
% 27.83/28.05 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 27.83/28.05 => ? [B_q] : V_x = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),B_q)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_mod__induct__0,axiom,
% 27.83/28.05 ! [V_i_2,V_Pa_2,V_p_2] :
% 27.83/28.05 ( ! [B_i] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 27.83/28.05 => ( hBOOL(hAPP(V_Pa_2,B_i))
% 27.83/28.05 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 27.83/28.05 => ( hBOOL(hAPP(V_Pa_2,V_i_2))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 27.83/28.05 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_expand__Suc,axiom,
% 27.83/28.05 ! [V_v] :
% 27.83/28.05 ( 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)))
% 27.83/28.05 => 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))) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_field__le__epsilon,axiom,
% 27.83/28.05 ! [V_y,V_x,T_a] :
% 27.83/28.05 ( class_Fields_Olinordered__field(T_a)
% 27.83/28.05 => ( ! [B_e] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 27.83/28.05 => 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))) )
% 27.83/28.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_of__int__power,axiom,
% 27.83/28.05 ! [V_n,V_z,T_a] :
% 27.83/28.05 ( class_Rings_Oring__1(T_a)
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_eq__number__of,axiom,
% 27.83/28.05 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.05 ( ( class_Int_Onumber__ring(T_b)
% 27.83/28.05 & class_Int_Oring__char__0(T_b) )
% 27.83/28.05 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 27.83/28.05 <=> V_x_2 = V_y_2 ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_number__of__reorient,axiom,
% 27.83/28.05 ! [V_x_2,V_w_2,T_b] :
% 27.83/28.05 ( class_Int_Onumber(T_b)
% 27.83/28.05 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2
% 27.83/28.05 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__idempotent,axiom,
% 27.83/28.05 ! [V_a,T_a] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_of__int__number__of__eq,axiom,
% 27.83/28.05 ! [V_v,T_a] :
% 27.83/28.05 ( class_Int_Onumber__ring(T_a)
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zero__le__zpower__abs,axiom,
% 27.83/28.05 ! [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))) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__le__D1,axiom,
% 27.83/28.05 ! [V_b,V_a,T_a] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 27.83/28.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__ge__self,axiom,
% 27.83/28.05 ! [V_a,T_a] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 27.83/28.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__zero,axiom,
% 27.83/28.05 ! [T_a] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 27.83/28.05 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__eq__0,axiom,
% 27.83/28.05 ! [V_a_2,T_b] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 27.83/28.05 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.05 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__add__abs,axiom,
% 27.83/28.05 ! [V_b,V_a,T_a] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 27.83/28.05 => 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)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__mult__self,axiom,
% 27.83/28.05 ! [V_a,T_a] :
% 27.83/28.05 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__mult,axiom,
% 27.83/28.05 ! [V_b,V_a,T_a] :
% 27.83/28.05 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.05 => 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)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__minus__commute,axiom,
% 27.83/28.05 ! [V_b,V_a,T_a] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 27.83/28.05 => 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)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__one,axiom,
% 27.83/28.05 ! [T_a] :
% 27.83/28.05 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.05 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__minus__cancel,axiom,
% 27.83/28.05 ! [V_a,T_a] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 27.83/28.05 ! [V_q,V_y,V_x,T_a] :
% 27.83/28.05 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.05 => 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)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__of__nat,axiom,
% 27.83/28.05 ! [V_n,T_a] :
% 27.83/28.05 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.05 => 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) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_Diff__cancel,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_Diff__empty,axiom,
% 27.83/28.05 ! [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 ).
% 27.83/28.05
% 27.83/28.05 fof(fact_empty__Diff,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__int__eq,axiom,
% 27.83/28.05 ! [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) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 27.83/28.05 ! [V_q,V_p,V_x,T_a] :
% 27.83/28.05 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.05 => 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)) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_double__diff,axiom,
% 27.83/28.05 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 27.83/28.05 => 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 ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_Diff__mono,axiom,
% 27.83/28.05 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] :
% 27.83/28.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2))
% 27.83/28.05 => 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))) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_Diff__subset,axiom,
% 27.83/28.05 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zpower__zpower,axiom,
% 27.83/28.05 ! [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)) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 27.83/28.05 ! [V_x,T_a] :
% 27.83/28.05 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.05 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zpower__zmod,axiom,
% 27.83/28.05 ! [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) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_of__nat__number__of__lemma,axiom,
% 27.83/28.05 ! [V_v,T_a] :
% 27.83/28.05 ( class_Int_Onumber__ring(T_a)
% 27.83/28.05 => ( ( 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)))
% 27.83/28.05 => 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) )
% 27.83/28.05 & ( ~ 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)))
% 27.83/28.05 => 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) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_number__of__eq,axiom,
% 27.83/28.05 ! [V_k,T_a] :
% 27.83/28.05 ( class_Int_Onumber__ring(T_a)
% 27.83/28.05 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__number__of,axiom,
% 27.83/28.05 ! [V_x,T_a] :
% 27.83/28.05 ( ( class_Int_Onumber__ring(T_a)
% 27.83/28.05 & class_Rings_Olinordered__idom(T_a) )
% 27.83/28.05 => ( ( 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)))
% 27.83/28.05 => 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)) )
% 27.83/28.05 & ( ~ 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)))
% 27.83/28.05 => 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) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zero__less__zpower__abs__iff,axiom,
% 27.83/28.05 ! [V_n_2,V_x_2] :
% 27.83/28.05 ( 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)))
% 27.83/28.05 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.05 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__of__nonneg,axiom,
% 27.83/28.05 ! [V_a,T_a] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.05 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__le__zero__iff,axiom,
% 27.83/28.05 ! [V_a_2,T_b] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 27.83/28.05 => ( 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)))
% 27.83/28.05 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__ge__zero,axiom,
% 27.83/28.05 ! [V_a,T_a] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 27.83/28.05 => 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))) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__of__pos,axiom,
% 27.83/28.05 ! [V_a,T_a] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.05 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_zero__less__abs__iff,axiom,
% 27.83/28.05 ! [V_a_2,T_b] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 27.83/28.05 => ( 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)))
% 27.83/28.05 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__not__less__zero,axiom,
% 27.83/28.05 ! [V_a,T_a] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 27.83/28.05 => ~ 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))) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__triangle__ineq,axiom,
% 27.83/28.05 ! [V_b,V_a,T_a] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 27.83/28.05 => 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)))) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__mult__less,axiom,
% 27.83/28.05 ! [V_d,V_b,V_c,V_a,T_a] :
% 27.83/28.05 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 27.83/28.05 => 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))) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__triangle__ineq3,axiom,
% 27.83/28.05 ! [V_b,V_a,T_a] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 27.83/28.05 => 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)))) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__triangle__ineq2,axiom,
% 27.83/28.05 ! [V_b,V_a,T_a] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 27.83/28.05 => 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)))) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__triangle__ineq2__sym,axiom,
% 27.83/28.05 ! [V_b,V_a,T_a] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 27.83/28.05 => 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)))) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__ge__minus__self,axiom,
% 27.83/28.05 ! [V_a,T_a] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 27.83/28.05 => 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))) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__le__iff,axiom,
% 27.83/28.05 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 27.83/28.05 => ( 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))
% 27.83/28.05 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 27.83/28.05 & 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)) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__leI,axiom,
% 27.83/28.05 ! [V_b,V_a,T_a] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 27.83/28.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__le__D2,axiom,
% 27.83/28.05 ! [V_b,V_a,T_a] :
% 27.83/28.05 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 27.83/28.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_abs__less__iff,axiom,
% 27.83/28.05 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.05 ( class_Rings_Olinordered__idom(T_b)
% 27.83/28.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 27.83/28.05 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 27.83/28.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 27.83/28.05
% 27.83/28.05 fof(fact_le__number__of__eq__not__less,axiom,
% 27.83/28.05 ! [V_w_2,V_v_2,T_b] :
% 27.83/28.05 ( ( class_Int_Onumber(T_b)
% 27.83/28.05 & class_Orderings_Olinorder(T_b) )
% 27.83/28.05 => ( 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)))
% 27.83/28.06 <=> ~ 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))) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_right__distrib__number__of,axiom,
% 27.83/28.06 ! [V_c,V_b,V_v,T_b] :
% 27.83/28.06 ( ( class_Int_Onumber(T_b)
% 27.83/28.06 & class_Rings_Osemiring(T_b) )
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_left__distrib__number__of,axiom,
% 27.83/28.06 ! [V_v,V_b,V_a,T_b] :
% 27.83/28.06 ( ( class_Int_Onumber(T_b)
% 27.83/28.06 & class_Rings_Osemiring(T_b) )
% 27.83/28.06 => 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))) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 27.83/28.06 ! [V_q,V_x,T_a] :
% 27.83/28.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 27.83/28.06 ! [V_q,V_x,T_a] :
% 27.83/28.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 27.83/28.06 ! [V_q,V_x,T_a] :
% 27.83/28.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_left__diff__distrib__number__of,axiom,
% 27.83/28.06 ! [V_v,V_b,V_a,T_b] :
% 27.83/28.06 ( ( class_Int_Onumber(T_b)
% 27.83/28.06 & class_Rings_Oring(T_b) )
% 27.83/28.06 => 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))) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_right__diff__distrib__number__of,axiom,
% 27.83/28.06 ! [V_c,V_b,V_v,T_b] :
% 27.83/28.06 ( ( class_Int_Onumber(T_b)
% 27.83/28.06 & class_Rings_Oring(T_b) )
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_le__number__of,axiom,
% 27.83/28.06 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.06 ( ( class_Int_Onumber__ring(T_b)
% 27.83/28.06 & class_Rings_Olinordered__idom(T_b) )
% 27.83/28.06 => ( 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)))
% 27.83/28.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 27.83/28.06 ! [V_x,T_a] :
% 27.83/28.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.06 => 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) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 27.83/28.06 ! [V_q,V_p,V_x,T_a] :
% 27.83/28.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_less__number__of,axiom,
% 27.83/28.06 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.06 ( ( class_Int_Onumber__ring(T_b)
% 27.83/28.06 & class_Rings_Olinordered__idom(T_b) )
% 27.83/28.06 => ( 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)))
% 27.83/28.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_number__of__add,axiom,
% 27.83/28.06 ! [V_w,V_v,T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_add__number__of__eq,axiom,
% 27.83/28.06 ! [V_w,V_v,T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_add__number__of__left,axiom,
% 27.83/28.06 ! [V_z,V_w,V_v,T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => 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) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 27.83/28.06 ! [V_n,V_x] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 27.83/28.06 => 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))) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_insert__Diff__single,axiom,
% 27.83/28.06 ! [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) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Diff__insert2,axiom,
% 27.83/28.06 ! [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) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Diff__insert,axiom,
% 27.83/28.06 ! [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)))) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_mult__number__of__left,axiom,
% 27.83/28.06 ! [V_z,V_w,V_v,T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => 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) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_arith__simps_I32_J,axiom,
% 27.83/28.06 ! [V_w,V_v,T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_number__of__mult,axiom,
% 27.83/28.06 ! [V_w,V_v,T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_abs__zmult__eq__1,axiom,
% 27.83/28.06 ! [V_n,V_m] :
% 27.83/28.06 ( 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)
% 27.83/28.06 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_number__of__diff,axiom,
% 27.83/28.06 ! [V_w,V_v,T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_zpower__zadd__distrib,axiom,
% 27.83/28.06 ! [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)) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_number__of__minus,axiom,
% 27.83/28.06 ! [V_w,T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_arith__simps_I30_J,axiom,
% 27.83/28.06 ! [V_w,T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_abs__sgn,axiom,
% 27.83/28.06 ! [V_k,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_mult__sgn__abs,axiom,
% 27.83/28.06 ! [V_x,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.06 => 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 ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_abs__mult__pos,axiom,
% 27.83/28.06 ! [V_y,V_x,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 27.83/28.06 => 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)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_abs__eq__mult,axiom,
% 27.83/28.06 ! [V_b,V_a,T_a] :
% 27.83/28.06 ( class_Rings_Oordered__ring__abs(T_a)
% 27.83/28.06 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.06 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 27.83/28.06 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 27.83/28.06 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 27.83/28.06 => 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)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_abs__triangle__ineq4,axiom,
% 27.83/28.06 ! [V_b,V_a,T_a] :
% 27.83/28.06 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 27.83/28.06 => 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)))) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_abs__diff__triangle__ineq,axiom,
% 27.83/28.06 ! [V_d,V_c,V_b,V_a,T_a] :
% 27.83/28.06 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 27.83/28.06 => 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))))) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_abs__of__nonpos,axiom,
% 27.83/28.06 ! [V_a,T_a] :
% 27.83/28.06 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.06 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_abs__minus__le__zero,axiom,
% 27.83/28.06 ! [V_a,T_a] :
% 27.83/28.06 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 27.83/28.06 => 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))) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_abs__if,axiom,
% 27.83/28.06 ! [V_a,T_a] :
% 27.83/28.06 ( class_Groups_Oabs__if(T_a)
% 27.83/28.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.06 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 27.83/28.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.06 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_abs__of__neg,axiom,
% 27.83/28.06 ! [V_a,T_a] :
% 27.83/28.06 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.06 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_zabs__less__one__iff,axiom,
% 27.83/28.06 ! [V_z_2] :
% 27.83/28.06 ( 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)))
% 27.83/28.06 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_add__number__of__diff1,axiom,
% 27.83/28.06 ! [V_c,V_w,V_v,T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => 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) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_zabs__def,axiom,
% 27.83/28.06 ! [V_i] :
% 27.83/28.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.06 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 27.83/28.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.06 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_minus__number__of__mult,axiom,
% 27.83/28.06 ! [V_z,V_w,T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => 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) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_nat__abs__mult__distrib,axiom,
% 27.83/28.06 ! [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))) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_diff__number__of__eq,axiom,
% 27.83/28.06 ! [V_w,V_v,T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => 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))) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_add__number__of__diff2,axiom,
% 27.83/28.06 ! [V_w,V_c,V_v,T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => 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) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__strict__mono,axiom,
% 27.83/28.06 ! [V_n,V_b,V_a,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 27.83/28.06 => 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))) ) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_one__less__power,axiom,
% 27.83/28.06 ! [V_n,V_a,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 27.83/28.06 => 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))) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__increasing__iff,axiom,
% 27.83/28.06 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 27.83/28.06 ( class_Rings_Olinordered__semidom(T_b)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 27.83/28.06 => ( 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)))
% 27.83/28.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__le__imp__le__exp,axiom,
% 27.83/28.06 ! [V_n,V_m,V_a,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 27.83/28.06 => ( 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)))
% 27.83/28.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__decreasing,axiom,
% 27.83/28.06 ! [V_a,V_N,V_n,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 27.83/28.06 => 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))) ) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__strict__decreasing,axiom,
% 27.83/28.06 ! [V_a,V_N,V_n,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 27.83/28.06 => 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))) ) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__Suc__less__one,axiom,
% 27.83/28.06 ! [V_n,V_a,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 27.83/28.06 => 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))) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Diff__idemp,axiom,
% 27.83/28.06 ! [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) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_number__of__is__id,axiom,
% 27.83/28.06 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 27.83/28.06
% 27.83/28.06 fof(fact_less__eq__number__of__int__code,axiom,
% 27.83/28.06 ! [V_l_2,V_k_2] :
% 27.83/28.06 ( 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)))
% 27.83/28.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_less__number__of__int__code,axiom,
% 27.83/28.06 ! [V_l_2,V_k_2] :
% 27.83/28.06 ( 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)))
% 27.83/28.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_plus__numeral__code_I9_J,axiom,
% 27.83/28.06 ! [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)) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_times__numeral__code_I5_J,axiom,
% 27.83/28.06 ! [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)) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_minus__numeral__code_I5_J,axiom,
% 27.83/28.06 ! [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)) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__Suc__0,axiom,
% 27.83/28.06 ! [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)) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 27.83/28.06 ! [V_m_2,V_x_2] :
% 27.83/28.06 ( 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))
% 27.83/28.06 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.06 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_nat__power__less__imp__less,axiom,
% 27.83/28.06 ! [V_n,V_m,V_i] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 27.83/28.06 => ( 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)))
% 27.83/28.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_nat__zero__less__power__iff,axiom,
% 27.83/28.06 ! [V_n_2,V_x_2] :
% 27.83/28.06 ( 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)))
% 27.83/28.06 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 27.83/28.06 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_int__number__of__def,axiom,
% 27.83/28.06 ! [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) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_nat__one__le__power,axiom,
% 27.83/28.06 ! [V_n,V_i] :
% 27.83/28.06 ( 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))
% 27.83/28.06 => 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))) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_nat__number__of,axiom,
% 27.83/28.06 ! [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) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_nat__number__of__def,axiom,
% 27.83/28.06 ! [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)) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 27.83/28.06 ! [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)) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_int__power,axiom,
% 27.83/28.06 ! [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) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_zpower__int,axiom,
% 27.83/28.06 ! [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)) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_minus__numeral__code_I6_J,axiom,
% 27.83/28.06 ! [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))) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__eq__if,axiom,
% 27.83/28.06 ! [V_p,V_m] :
% 27.83/28.06 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.06 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 27.83/28.06 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.06 => 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)))) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_int__eq__iff__number__of,axiom,
% 27.83/28.06 ! [V_v_2,V_m_2] :
% 27.83/28.06 ( 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)
% 27.83/28.06 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 27.83/28.06 & 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))) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_nat__power__eq,axiom,
% 27.83/28.06 ! [V_n,V_z] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 27.83/28.06 => 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) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 27.83/28.06 ! [V_n,V_x] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_field__power__not__zero,axiom,
% 27.83/28.06 ! [V_n,V_a,T_a] :
% 27.83/28.06 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 27.83/28.06 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.06 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__commutes,axiom,
% 27.83/28.06 ! [V_n,V_a,T_a] :
% 27.83/28.06 ( class_Groups_Omonoid__mult(T_a)
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__mult__distrib,axiom,
% 27.83/28.06 ! [V_n,V_b,V_a,T_a] :
% 27.83/28.06 ( class_Groups_Ocomm__monoid__mult(T_a)
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__one,axiom,
% 27.83/28.06 ! [V_n,T_a] :
% 27.83/28.06 ( class_Groups_Omonoid__mult(T_a)
% 27.83/28.06 => 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) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_of__nat__power,axiom,
% 27.83/28.06 ! [V_n,V_m,T_a] :
% 27.83/28.06 ( class_Rings_Osemiring__1(T_a)
% 27.83/28.06 => 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) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__mult,axiom,
% 27.83/28.06 ! [V_n,V_m,V_a,T_a] :
% 27.83/28.06 ( class_Groups_Omonoid__mult(T_a)
% 27.83/28.06 => 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) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_one__div__nat__number__of,axiom,
% 27.83/28.06 ! [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))) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__abs,axiom,
% 27.83/28.06 ! [V_n,V_a,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.06 => 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) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__one__right,axiom,
% 27.83/28.06 ! [V_a,T_a] :
% 27.83/28.06 ( class_Groups_Omonoid__mult(T_a)
% 27.83/28.06 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_zero__le__power,axiom,
% 27.83/28.06 ! [V_n,V_a,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.06 => 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))) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__mono,axiom,
% 27.83/28.06 ! [V_n,V_b,V_a,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.06 => 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))) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_zero__less__power,axiom,
% 27.83/28.06 ! [V_n,V_a,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.06 => 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))) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__eq__0__iff,axiom,
% 27.83/28.06 ! [V_n_2,V_a_2,T_b] :
% 27.83/28.06 ( ( class_Power_Opower(T_b)
% 27.83/28.06 & class_Rings_Omult__zero(T_b)
% 27.83/28.06 & class_Rings_Ono__zero__divisors(T_b)
% 27.83/28.06 & class_Rings_Ozero__neq__one(T_b) )
% 27.83/28.06 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.06 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.06 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_one__le__power,axiom,
% 27.83/28.06 ! [V_n,V_a,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 27.83/28.06 => 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))) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__0__Suc,axiom,
% 27.83/28.06 ! [V_n,T_a] :
% 27.83/28.06 ( ( class_Power_Opower(T_a)
% 27.83/28.06 & class_Rings_Osemiring__0(T_a) )
% 27.83/28.06 => 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) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__inject__exp,axiom,
% 27.83/28.06 ! [V_n_2,V_m_2,V_a_2,T_b] :
% 27.83/28.06 ( class_Rings_Olinordered__semidom(T_b)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2))
% 27.83/28.06 => ( 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)
% 27.83/28.06 <=> V_m_2 = V_n_2 ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__Suc,axiom,
% 27.83/28.06 ! [V_n,V_a,T_a] :
% 27.83/28.06 ( class_Power_Opower(T_a)
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__Suc2,axiom,
% 27.83/28.06 ! [V_n,V_a,T_a] :
% 27.83/28.06 ( class_Groups_Omonoid__mult(T_a)
% 27.83/28.06 => 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) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__0,axiom,
% 27.83/28.06 ! [V_a,T_a] :
% 27.83/28.06 ( class_Power_Opower(T_a)
% 27.83/28.06 => 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) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__add,axiom,
% 27.83/28.06 ! [V_n,V_m,V_a,T_a] :
% 27.83/28.06 ( class_Groups_Omonoid__mult(T_a)
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_abs__power__minus,axiom,
% 27.83/28.06 ! [V_n,V_a,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__less__imp__less__base,axiom,
% 27.83/28.06 ! [V_b,V_n,V_a,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.06 => ( 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)))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 27.83/28.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__le__imp__le__base,axiom,
% 27.83/28.06 ! [V_b,V_n,V_a,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.06 => ( 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))))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 27.83/28.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__inject__base,axiom,
% 27.83/28.06 ! [V_b,V_n,V_a,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.06 => ( 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))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 27.83/28.06 => V_a = V_b ) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__less__power__Suc,axiom,
% 27.83/28.06 ! [V_n,V_a,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 27.83/28.06 => 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)))) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__gt1__lemma,axiom,
% 27.83/28.06 ! [V_n,V_a,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 27.83/28.06 => 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)))) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__0__left,axiom,
% 27.83/28.06 ! [V_n,T_a] :
% 27.83/28.06 ( ( class_Power_Opower(T_a)
% 27.83/28.06 & class_Rings_Osemiring__0(T_a) )
% 27.83/28.06 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.06 => 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) )
% 27.83/28.06 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.06 => 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) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__gt1,axiom,
% 27.83/28.06 ! [V_n,V_a,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 27.83/28.06 => 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)))) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__strict__increasing,axiom,
% 27.83/28.06 ! [V_a,V_N,V_n,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 27.83/28.06 => 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))) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__less__imp__less__exp,axiom,
% 27.83/28.06 ! [V_n,V_m,V_a,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 27.83/28.06 => ( 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)))
% 27.83/28.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__strict__increasing__iff,axiom,
% 27.83/28.06 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 27.83/28.06 ( class_Rings_Olinordered__semidom(T_b)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 27.83/28.06 => ( 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)))
% 27.83/28.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_zero__le__power__abs,axiom,
% 27.83/28.06 ! [V_n,V_a,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.06 => 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))) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__increasing,axiom,
% 27.83/28.06 ! [V_a,V_N,V_n,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 27.83/28.06 => 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))) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__minus,axiom,
% 27.83/28.06 ! [V_n,V_a,T_a] :
% 27.83/28.06 ( class_Rings_Oring__1(T_a)
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__Suc__less,axiom,
% 27.83/28.06 ! [V_n,V_a,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 27.83/28.06 => 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))) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__eq__imp__eq__base,axiom,
% 27.83/28.06 ! [V_b,V_n,V_a,T_a] :
% 27.83/28.06 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.06 => ( 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)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 27.83/28.06 => V_a = V_b ) ) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_one__mod__nat__number__of,axiom,
% 27.83/28.06 ! [V_v_H] :
% 27.83/28.06 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 27.83/28.06 => 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)) )
% 27.83/28.06 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 27.83/28.06 => 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))) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__power__power,axiom,
% 27.83/28.06 ! [T_b] :
% 27.83/28.06 ( class_Power_Opower(T_b)
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_div__nat__number__of,axiom,
% 27.83/28.06 ! [V_v_H,V_v] :
% 27.83/28.06 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 27.83/28.06 => 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) )
% 27.83/28.06 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 27.83/28.06 => 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))) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_mod__nat__number__of,axiom,
% 27.83/28.06 ! [V_v_H,V_v] :
% 27.83/28.06 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 27.83/28.06 => 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) )
% 27.83/28.06 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 27.83/28.06 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 27.83/28.06 => 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) )
% 27.83/28.06 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 27.83/28.06 => 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))) ) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__nat__number__of__number__of,axiom,
% 27.83/28.06 ! [V_w,V_v] :
% 27.83/28.06 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 27.83/28.06 => 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)) )
% 27.83/28.06 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 27.83/28.06 => 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))) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power__nat__number__of,axiom,
% 27.83/28.06 ! [V_n,V_v] :
% 27.83/28.06 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 27.83/28.06 => 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) )
% 27.83/28.06 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 27.83/28.06 => 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)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_zmod__minus1,axiom,
% 27.83/28.06 ! [V_b] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_neg__number__of__Min,axiom,
% 27.83/28.06 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_rel__simps_I24_J,axiom,
% 27.83/28.06 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_rel__simps_I7_J,axiom,
% 27.83/28.06 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_not__neg__0,axiom,
% 27.83/28.06 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_not__neg__int,axiom,
% 27.83/28.06 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_not__neg__1,axiom,
% 27.83/28.06 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_bin__less__0__simps_I2_J,axiom,
% 27.83/28.06 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Int_OMin__def,axiom,
% 27.83/28.06 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_mult__Min,axiom,
% 27.83/28.06 ! [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) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_not__neg__eq__ge__0,axiom,
% 27.83/28.06 ! [V_x_2] :
% 27.83/28.06 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 27.83/28.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_neg__def,axiom,
% 27.83/28.06 ! [V_Z_2] :
% 27.83/28.06 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 27.83/28.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_neg__nat,axiom,
% 27.83/28.06 ! [V_z] :
% 27.83/28.06 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 27.83/28.06 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_not__neg__nat,axiom,
% 27.83/28.06 ! [V_z] :
% 27.83/28.06 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 27.83/28.06 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_mult__minus1,axiom,
% 27.83/28.06 ! [V_z,T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => 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) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_mult__minus1__right,axiom,
% 27.83/28.06 ! [V_z,T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => 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) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_arith__simps_I31_J,axiom,
% 27.83/28.06 ! [T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => 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) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_number__of__Min,axiom,
% 27.83/28.06 ! [T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_abs__minus__one,axiom,
% 27.83/28.06 ! [T_a] :
% 27.83/28.06 ( ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 & class_Rings_Olinordered__idom(T_a) )
% 27.83/28.06 => 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) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_zmod__minus1__right,axiom,
% 27.83/28.06 ! [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) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_zmult__eq__1__iff,axiom,
% 27.83/28.06 ! [V_n_2,V_m_2] :
% 27.83/28.06 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 27.83/28.06 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 27.83/28.06 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 27.83/28.06 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 27.83/28.06 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 27.83/28.06 ! [V_n,V_m] :
% 27.83/28.06 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 27.83/28.06 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 27.83/28.06 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power_Opower_Opower__0,axiom,
% 27.83/28.06 ! [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 ).
% 27.83/28.06
% 27.83/28.06 fof(fact_power_Opower_Opower__Suc,axiom,
% 27.83/28.06 ! [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)) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_of__int__m1,axiom,
% 27.83/28.06 ! [T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => 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) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_zdiv__minus1__right,axiom,
% 27.83/28.06 ! [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) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_neg__imp__number__of__eq__0,axiom,
% 27.83/28.06 ! [V_v] :
% 27.83/28.06 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 27.83/28.06 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_neg__zminus__int,axiom,
% 27.83/28.06 ! [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))))) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_abs__power__minus__one,axiom,
% 27.83/28.06 ! [V_n,T_a] :
% 27.83/28.06 ( ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 & class_Rings_Olinordered__idom(T_a) )
% 27.83/28.06 => 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) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_div__eq__minus1,axiom,
% 27.83/28.06 ! [V_b] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 27.83/28.06 => 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) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_eq__nat__number__of,axiom,
% 27.83/28.06 ! [V_v_H_2,V_v_2] :
% 27.83/28.06 ( 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)
% 27.83/28.06 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 27.83/28.06 => 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))) )
% 27.83/28.06 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 27.83/28.06 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 27.83/28.06 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 27.83/28.06 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 27.83/28.06 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_nat__number__of__add__left,axiom,
% 27.83/28.06 ! [V_k,V_v_H,V_v] :
% 27.83/28.06 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 27.83/28.06 => 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) )
% 27.83/28.06 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 27.83/28.06 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 27.83/28.06 => 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) )
% 27.83/28.06 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 27.83/28.06 => 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) ) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_int__nat__number__of,axiom,
% 27.83/28.06 ! [V_v] :
% 27.83/28.06 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 27.83/28.06 => 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) )
% 27.83/28.06 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 27.83/28.06 => 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) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_of__nat__number__of__eq,axiom,
% 27.83/28.06 ! [V_v,T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 27.83/28.06 => 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) )
% 27.83/28.06 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 27.83/28.06 => 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) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_div__pos__neg__trivial,axiom,
% 27.83/28.06 ! [V_b,V_a] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 27.83/28.06 => ( 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)))
% 27.83/28.06 => 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) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Suc__nat__number__of__add,axiom,
% 27.83/28.06 ! [V_n,V_v] :
% 27.83/28.06 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 27.83/28.06 => 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) )
% 27.83/28.06 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 27.83/28.06 => 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) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Suc__nat__number__of,axiom,
% 27.83/28.06 ! [V_v] :
% 27.83/28.06 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 27.83/28.06 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 27.83/28.06 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 27.83/28.06 => 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)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_int__val__lemma,axiom,
% 27.83/28.06 ! [V_k_2,V_f_2,V_n_2] :
% 27.83/28.06 ( ! [B_i] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 27.83/28.06 => 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))) )
% 27.83/28.06 => ( 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))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 27.83/28.06 => ? [B_i] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 27.83/28.06 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_nat0__intermed__int__val,axiom,
% 27.83/28.06 ! [V_k_2,V_f_2,V_n_2] :
% 27.83/28.06 ( ! [B_i] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 27.83/28.06 => 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))) )
% 27.83/28.06 => ( 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))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 27.83/28.06 => ? [B_i] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 27.83/28.06 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_psubset__insert__iff,axiom,
% 27.83/28.06 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 27.83/28.06 ( 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)))
% 27.83/28.06 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 27.83/28.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 27.83/28.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 27.83/28.06 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.06 => 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)) )
% 27.83/28.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_eq__number__of__eq,axiom,
% 27.83/28.06 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_b)
% 27.83/28.06 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 27.83/28.06 <=> 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)))) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_neg__number__of__pred__iff__0,axiom,
% 27.83/28.06 ! [V_v_2] :
% 27.83/28.06 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 27.83/28.06 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_equalityCE,axiom,
% 27.83/28.06 ! [V_c_2,T_b,V_B_2,V_A_2] :
% 27.83/28.06 ( V_A_2 = V_B_2
% 27.83/28.06 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 27.83/28.06 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) )
% 27.83/28.06 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 27.83/28.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_emptyE,axiom,
% 27.83/28.06 ! [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)))) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_insertE,axiom,
% 27.83/28.06 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 27.83/28.06 => ( V_a_2 != V_b_2
% 27.83/28.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_insertCI,axiom,
% 27.83/28.06 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 27.83/28.06 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 27.83/28.06 => V_a_2 = V_b_2 )
% 27.83/28.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_subsetD,axiom,
% 27.83/28.06 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 27.83/28.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_DiffI,axiom,
% 27.83/28.06 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 27.83/28.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 27.83/28.06 => 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))) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_DiffE,axiom,
% 27.83/28.06 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 27.83/28.06 ( 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)))
% 27.83/28.06 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 27.83/28.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_ComplI,axiom,
% 27.83/28.06 ! [V_A_2,V_c_2,T_b] :
% 27.83/28.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 27.83/28.06 => 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))) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_mem__def,axiom,
% 27.83/28.06 ! [V_A_2,V_x_2,T_b] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.06 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_eqset__imp__iff,axiom,
% 27.83/28.06 ! [V_x_2,T_b,V_B_2,V_A_2] :
% 27.83/28.06 ( V_A_2 = V_B_2
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.06 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_eqelem__imp__iff,axiom,
% 27.83/28.06 ! [V_A_2,T_b,V_y_2,V_x_2] :
% 27.83/28.06 ( V_x_2 = V_y_2
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.06 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_eq__mem__trans,axiom,
% 27.83/28.06 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 27.83/28.06 ( V_a_2 = V_b_2
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 27.83/28.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_succ__pred,axiom,
% 27.83/28.06 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 27.83/28.06
% 27.83/28.06 fof(fact_all__not__in__conv,axiom,
% 27.83/28.06 ! [V_A_2,T_b] :
% 27.83/28.06 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.06 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_ex__in__conv,axiom,
% 27.83/28.06 ! [V_A_2,T_b] :
% 27.83/28.06 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.06 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_empty__iff,axiom,
% 27.83/28.06 ! [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)))) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_equals0D,axiom,
% 27.83/28.06 ! [V_a_2,T_b,V_A_2] :
% 27.83/28.06 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.06 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_insertI1,axiom,
% 27.83/28.06 ! [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))) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_insert__iff,axiom,
% 27.83/28.06 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 27.83/28.06 <=> ( V_a_2 = V_b_2
% 27.83/28.06 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_insert__ident,axiom,
% 27.83/28.06 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 27.83/28.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 27.83/28.06 => ( 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)
% 27.83/28.06 <=> V_A_2 = V_B_2 ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_insertI2,axiom,
% 27.83/28.06 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 27.83/28.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_insert__absorb,axiom,
% 27.83/28.06 ! [V_A_2,V_a_2,T_b] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.06 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_in__mono,axiom,
% 27.83/28.06 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_set__rev__mp,axiom,
% 27.83/28.06 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_set__mp,axiom,
% 27.83/28.06 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Diff__iff,axiom,
% 27.83/28.06 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 27.83/28.06 ( 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)))
% 27.83/28.06 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 27.83/28.06 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_DiffD1,axiom,
% 27.83/28.06 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 27.83/28.06 ( 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)))
% 27.83/28.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_DiffD2,axiom,
% 27.83/28.06 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 27.83/28.06 ( 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)))
% 27.83/28.06 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Compl__iff,axiom,
% 27.83/28.06 ! [V_A_2,V_c_2,T_b] :
% 27.83/28.06 ( 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)))
% 27.83/28.06 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_ComplD,axiom,
% 27.83/28.06 ! [V_A_2,V_c_2,T_b] :
% 27.83/28.06 ( 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)))
% 27.83/28.06 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_ComplE,axiom,
% 27.83/28.06 ! [V_A_2,V_c_2,T_b] :
% 27.83/28.06 ( 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)))
% 27.83/28.06 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_psubsetD,axiom,
% 27.83/28.06 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 27.83/28.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_iszero__def,axiom,
% 27.83/28.06 ! [V_z_2,T_b] :
% 27.83/28.06 ( class_Rings_Osemiring__1(T_b)
% 27.83/28.06 => ( c_Int_Oiszero(T_b,V_z_2)
% 27.83/28.06 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_iszero__0,axiom,
% 27.83/28.06 ! [T_a] :
% 27.83/28.06 ( class_Rings_Osemiring__1(T_a)
% 27.83/28.06 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_not__iszero__1,axiom,
% 27.83/28.06 ! [T_a] :
% 27.83/28.06 ( class_Rings_Osemiring__1(T_a)
% 27.83/28.06 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_singleton__iff,axiom,
% 27.83/28.06 ! [V_a_2,V_b_2,T_b] :
% 27.83/28.06 ( 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)))))
% 27.83/28.06 <=> V_b_2 = V_a_2 ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_singletonE,axiom,
% 27.83/28.06 ! [V_a_2,V_b_2,T_b] :
% 27.83/28.06 ( 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)))))
% 27.83/28.06 => V_b_2 = V_a_2 ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_insert__subset,axiom,
% 27.83/28.06 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 27.83/28.06 ( 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))
% 27.83/28.06 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 27.83/28.06 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_subset__insert,axiom,
% 27.83/28.06 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 27.83/28.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.06 => ( 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)))
% 27.83/28.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_insert__Diff1,axiom,
% 27.83/28.06 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 27.83/28.06 => 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) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_insert__Diff__if,axiom,
% 27.83/28.06 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 27.83/28.06 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 27.83/28.06 => 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) )
% 27.83/28.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 27.83/28.06 => 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)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_le__iff__pred__less,axiom,
% 27.83/28.06 ! [V_l_2,V_k_2] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 27.83/28.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_pred__def,axiom,
% 27.83/28.06 ! [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)) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_add__Min,axiom,
% 27.83/28.06 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_add__Min__right,axiom,
% 27.83/28.06 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Diff__insert__absorb,axiom,
% 27.83/28.06 ! [V_A_2,V_x_2,T_b] :
% 27.83/28.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.06 => 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 ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_insert__Diff,axiom,
% 27.83/28.06 ! [V_A_2,V_a_2,T_b] :
% 27.83/28.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.06 => 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 ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_succ__def,axiom,
% 27.83/28.06 ! [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)) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_diff__bin__simps_I2_J,axiom,
% 27.83/28.06 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_nonzero__number__of__Min,axiom,
% 27.83/28.06 ! [T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_subset__insert__iff,axiom,
% 27.83/28.06 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 27.83/28.06 ( 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)))
% 27.83/28.06 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.06 => 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)) )
% 27.83/28.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_diff__single__insert,axiom,
% 27.83/28.06 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 27.83/28.06 ( 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))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.06 => 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))) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_number__of__succ,axiom,
% 27.83/28.06 ! [V_k,T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_number__of__pred,axiom,
% 27.83/28.06 ! [V_w,T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => 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)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Ints__odd__less__0,axiom,
% 27.83/28.06 ! [V_a_2,T_b] :
% 27.83/28.06 ( class_Rings_Olinordered__idom(T_b)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 27.83/28.06 => ( 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)))
% 27.83/28.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_nat__number__of__diff__1,axiom,
% 27.83/28.06 ! [V_v] :
% 27.83/28.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 27.83/28.06 => 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) )
% 27.83/28.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 27.83/28.06 => 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)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Ints__odd__nonzero,axiom,
% 27.83/28.06 ! [V_a_2,T_b] :
% 27.83/28.06 ( class_Int_Oring__char__0(T_b)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 27.83/28.06 => 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) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_nat__number__of__add__1,axiom,
% 27.83/28.06 ! [V_v] :
% 27.83/28.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 27.83/28.06 => 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) )
% 27.83/28.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 27.83/28.06 => 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)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_nat__1__add__number__of,axiom,
% 27.83/28.06 ! [V_v] :
% 27.83/28.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 27.83/28.06 => 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) )
% 27.83/28.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 27.83/28.06 => 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)) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_eq__special_I1_J,axiom,
% 27.83/28.06 ! [V_y_2,T_b] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_b)
% 27.83/28.06 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 27.83/28.06 <=> 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)))) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_eq__special_I3_J,axiom,
% 27.83/28.06 ! [V_x_2,T_b] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_b)
% 27.83/28.06 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.06 <=> 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)))) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Pls__def,axiom,
% 27.83/28.06 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_rel__simps_I19_J,axiom,
% 27.83/28.06 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_rel__simps_I2_J,axiom,
% 27.83/28.06 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_add__Pls,axiom,
% 27.83/28.06 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 27.83/28.06
% 27.83/28.06 fof(fact_add__Pls__right,axiom,
% 27.83/28.06 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 27.83/28.06
% 27.83/28.06 fof(fact_mult__Pls,axiom,
% 27.83/28.06 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 27.83/28.06
% 27.83/28.06 fof(fact_diff__bin__simps_I1_J,axiom,
% 27.83/28.06 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 27.83/28.06
% 27.83/28.06 fof(fact_minus__Pls,axiom,
% 27.83/28.06 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 27.83/28.06
% 27.83/28.06 fof(fact_rel__simps_I37_J,axiom,
% 27.83/28.06 c_Int_OPls != c_Int_OMin ).
% 27.83/28.06
% 27.83/28.06 fof(fact_rel__simps_I40_J,axiom,
% 27.83/28.06 c_Int_OMin != c_Int_OPls ).
% 27.83/28.06
% 27.83/28.06 fof(fact_semiring__norm_I112_J,axiom,
% 27.83/28.06 ! [T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_number__of__Pls,axiom,
% 27.83/28.06 ! [T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_add__numeral__0__right,axiom,
% 27.83/28.06 ! [V_a,T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => 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 ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_add__numeral__0,axiom,
% 27.83/28.06 ! [V_a,T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => 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 ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_bin__less__0__simps_I1_J,axiom,
% 27.83/28.06 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_nat__number__of__Pls,axiom,
% 27.83/28.06 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_semiring__norm_I113_J,axiom,
% 27.83/28.06 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_zero__is__num__zero,axiom,
% 27.83/28.06 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_rel__simps_I23_J,axiom,
% 27.83/28.06 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_rel__simps_I20_J,axiom,
% 27.83/28.06 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_rel__simps_I3_J,axiom,
% 27.83/28.06 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_rel__simps_I6_J,axiom,
% 27.83/28.06 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_eq__number__of__Pls__Min,axiom,
% 27.83/28.06 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) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_not__neg__number__of__Pls,axiom,
% 27.83/28.06 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_pred__Pls,axiom,
% 27.83/28.06 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 27.83/28.06
% 27.83/28.06 fof(fact_iszero__Numeral0,axiom,
% 27.83/28.06 ! [T_a] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_a)
% 27.83/28.06 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_succ__Min,axiom,
% 27.83/28.06 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Ints__0,axiom,
% 27.83/28.06 ! [T_b] :
% 27.83/28.06 ( class_Rings_Oring__1(T_b)
% 27.83/28.06 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Ints__add,axiom,
% 27.83/28.06 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.06 ( class_Rings_Oring__1(T_b)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 27.83/28.06 => 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))) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Ints__mult,axiom,
% 27.83/28.06 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.06 ( class_Rings_Oring__1(T_b)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 27.83/28.06 => 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))) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Ints__diff,axiom,
% 27.83/28.06 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.06 ( class_Rings_Oring__1(T_b)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 27.83/28.06 => 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))) ) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Ints__number__of,axiom,
% 27.83/28.06 ! [V_w_2,T_b] :
% 27.83/28.06 ( class_Int_Onumber__ring(T_b)
% 27.83/28.06 => 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))) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Ints__1,axiom,
% 27.83/28.06 ! [T_b] :
% 27.83/28.06 ( class_Rings_Oring__1(T_b)
% 27.83/28.06 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Ints__minus,axiom,
% 27.83/28.06 ! [V_a_2,T_b] :
% 27.83/28.06 ( class_Rings_Oring__1(T_b)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 27.83/28.06 => 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))) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Ints__of__nat,axiom,
% 27.83/28.06 ! [V_n_2,T_b] :
% 27.83/28.06 ( class_Rings_Oring__1(T_b)
% 27.83/28.06 => 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))) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Ints__power,axiom,
% 27.83/28.06 ! [V_n_2,V_a_2,T_b] :
% 27.83/28.06 ( class_Rings_Oring__1(T_b)
% 27.83/28.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 27.83/28.06 => 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))) ) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_Ints__of__int,axiom,
% 27.83/28.06 ! [V_z_2,T_b] :
% 27.83/28.06 ( class_Rings_Oring__1(T_b)
% 27.83/28.06 => 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))) ) ).
% 27.83/28.06
% 27.83/28.06 fof(fact_eq__number__of__0,axiom,
% 27.83/28.07 ! [V_v_2] :
% 27.83/28.07 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_eq__0__number__of,axiom,
% 27.83/28.07 ! [V_v_2] :
% 27.83/28.07 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_number__of2,axiom,
% 27.83/28.07 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))) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_less__nat__number__of,axiom,
% 27.83/28.07 ! [V_v_H_2,V_v_2] :
% 27.83/28.07 ( 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)))
% 27.83/28.07 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 27.83/28.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 27.83/28.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_le__nat__number__of,axiom,
% 27.83/28.07 ! [V_v_H_2,V_v_2] :
% 27.83/28.07 ( 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)))
% 27.83/28.07 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 27.83/28.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_le__special_I1_J,axiom,
% 27.83/28.07 ! [V_y_2,T_b] :
% 27.83/28.07 ( ( class_Int_Onumber__ring(T_b)
% 27.83/28.07 & class_Rings_Olinordered__idom(T_b) )
% 27.83/28.07 => ( 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)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_le__special_I3_J,axiom,
% 27.83/28.07 ! [V_x_2,T_b] :
% 27.83/28.07 ( ( class_Int_Onumber__ring(T_b)
% 27.83/28.07 & class_Rings_Olinordered__idom(T_b) )
% 27.83/28.07 => ( 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)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_less__special_I1_J,axiom,
% 27.83/28.07 ! [V_y_2,T_b] :
% 27.83/28.07 ( ( class_Int_Onumber__ring(T_b)
% 27.83/28.07 & class_Rings_Olinordered__idom(T_b) )
% 27.83/28.07 => ( 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)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_less__special_I3_J,axiom,
% 27.83/28.07 ! [V_x_2,T_b] :
% 27.83/28.07 ( ( class_Int_Onumber__ring(T_b)
% 27.83/28.07 & class_Rings_Olinordered__idom(T_b) )
% 27.83/28.07 => ( 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)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_less__0__number__of,axiom,
% 27.83/28.07 ! [V_v_2] :
% 27.83/28.07 ( 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)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_add__nat__number__of,axiom,
% 27.83/28.07 ! [V_v_H,V_v] :
% 27.83/28.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 27.83/28.07 => 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) )
% 27.83/28.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 27.83/28.07 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 27.83/28.07 => 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) )
% 27.83/28.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 27.83/28.07 => 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)) ) ) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Ints__double__eq__0__iff,axiom,
% 27.83/28.07 ! [V_a_2,T_b] :
% 27.83/28.07 ( class_Int_Oring__char__0(T_b)
% 27.83/28.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 27.83/28.07 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.07 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_mult__nat__number__of,axiom,
% 27.83/28.07 ! [V_v_H,V_v] :
% 27.83/28.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 27.83/28.07 => 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) )
% 27.83/28.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 27.83/28.07 => 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)) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_nat__number__of__mult__left,axiom,
% 27.83/28.07 ! [V_k,V_v_H,V_v] :
% 27.83/28.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 27.83/28.07 => 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) )
% 27.83/28.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 27.83/28.07 => 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) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Suc__diff__number__of,axiom,
% 27.83/28.07 ! [V_m,V_v] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 27.83/28.07 => 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))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Nats__number__of,axiom,
% 27.83/28.07 ! [V_w_2,T_b] :
% 27.83/28.07 ( class_Int_Onumber__ring(T_b)
% 27.83/28.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 27.83/28.07 => 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))) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_eq__special_I2_J,axiom,
% 27.83/28.07 ! [V_y_2,T_b] :
% 27.83/28.07 ( class_Int_Onumber__ring(T_b)
% 27.83/28.07 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 27.83/28.07 <=> 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)))) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_eq__special_I4_J,axiom,
% 27.83/28.07 ! [V_x_2,T_b] :
% 27.83/28.07 ( class_Int_Onumber__ring(T_b)
% 27.83/28.07 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 27.83/28.07 <=> 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))))) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_diff__special_I1_J,axiom,
% 27.83/28.07 ! [V_w,T_a] :
% 27.83/28.07 ( class_Int_Onumber__ring(T_a)
% 27.83/28.07 => 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))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_diff__special_I2_J,axiom,
% 27.83/28.07 ! [V_v,T_a] :
% 27.83/28.07 ( class_Int_Onumber__ring(T_a)
% 27.83/28.07 => 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)))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 27.83/28.07 ! [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)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I51_J,axiom,
% 27.83/28.07 ! [V_l_2,V_k_2] :
% 27.83/28.07 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 27.83/28.07 <=> V_k_2 = V_l_2 ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I34_J,axiom,
% 27.83/28.07 ! [V_l_2,V_k_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_less__eq__int__code_I16_J,axiom,
% 27.83/28.07 ! [V_k2_2,V_k1_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I17_J,axiom,
% 27.83/28.07 ! [V_l_2,V_k_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_less__int__code_I16_J,axiom,
% 27.83/28.07 ! [V_k2_2,V_k1_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I39_J,axiom,
% 27.83/28.07 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I46_J,axiom,
% 27.83/28.07 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Bit1__Min,axiom,
% 27.83/28.07 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I43_J,axiom,
% 27.83/28.07 ! [V_l_2] :
% 27.83/28.07 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 27.83/28.07 <=> c_Int_OMin = V_l_2 ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I47_J,axiom,
% 27.83/28.07 ! [V_k_2] :
% 27.83/28.07 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 27.83/28.07 <=> V_k_2 = c_Int_OMin ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_bin__less__0__simps_I4_J,axiom,
% 27.83/28.07 ! [V_w_2] :
% 27.83/28.07 ( 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)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I22_J,axiom,
% 27.83/28.07 ! [V_k_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I12_J,axiom,
% 27.83/28.07 ! [V_k_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Bit1__def,axiom,
% 27.83/28.07 ! [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) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I30_J,axiom,
% 27.83/28.07 ! [V_k_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I26_J,axiom,
% 27.83/28.07 ! [V_k_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I9_J,axiom,
% 27.83/28.07 ! [V_k_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I13_J,axiom,
% 27.83/28.07 ! [V_k_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_neg__number__of__Bit1,axiom,
% 27.83/28.07 ! [V_w_2] :
% 27.83/28.07 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 27.83/28.07 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_minus__Bit1,axiom,
% 27.83/28.07 ! [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))) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_iszero__number__of__Bit1,axiom,
% 27.83/28.07 ! [V_w,T_a] :
% 27.83/28.07 ( ( class_Int_Onumber__ring(T_a)
% 27.83/28.07 & class_Int_Oring__char__0(T_a) )
% 27.83/28.07 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_succ__Pls,axiom,
% 27.83/28.07 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_number__of__Bit1,axiom,
% 27.83/28.07 ! [V_w,T_a] :
% 27.83/28.07 ( class_Int_Onumber__ring(T_a)
% 27.83/28.07 => 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)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_mult__numeral__1__right,axiom,
% 27.83/28.07 ! [V_a,T_a] :
% 27.83/28.07 ( class_Int_Onumber__ring(T_a)
% 27.83/28.07 => 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 ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_mult__numeral__1,axiom,
% 27.83/28.07 ! [V_a,T_a] :
% 27.83/28.07 ( class_Int_Onumber__ring(T_a)
% 27.83/28.07 => 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 ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_semiring__norm_I110_J,axiom,
% 27.83/28.07 ! [T_a] :
% 27.83/28.07 ( class_Int_Onumber__ring(T_a)
% 27.83/28.07 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_numeral__1__eq__1,axiom,
% 27.83/28.07 ! [T_a] :
% 27.83/28.07 ( class_Int_Onumber__ring(T_a)
% 27.83/28.07 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I29_J,axiom,
% 27.83/28.07 ! [V_k_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I5_J,axiom,
% 27.83/28.07 ! [V_k_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_one__is__num__one,axiom,
% 27.83/28.07 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Numeral1__eq1__nat,axiom,
% 27.83/28.07 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_nat__numeral__1__eq__1,axiom,
% 27.83/28.07 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_diff__bin__simps_I4_J,axiom,
% 27.83/28.07 ! [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)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_minus__Min,axiom,
% 27.83/28.07 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_not__iszero__Numeral1,axiom,
% 27.83/28.07 ! [T_a] :
% 27.83/28.07 ( class_Int_Onumber__ring(T_a)
% 27.83/28.07 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Nats__0,axiom,
% 27.83/28.07 ! [T_b] :
% 27.83/28.07 ( class_Rings_Osemiring__1(T_b)
% 27.83/28.07 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Nats__add,axiom,
% 27.83/28.07 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.07 ( class_Rings_Osemiring__1(T_b)
% 27.83/28.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 27.83/28.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 27.83/28.07 => 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))) ) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Nats__mult,axiom,
% 27.83/28.07 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.07 ( class_Rings_Osemiring__1(T_b)
% 27.83/28.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 27.83/28.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 27.83/28.07 => 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))) ) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Nats__1,axiom,
% 27.83/28.07 ! [T_b] :
% 27.83/28.07 ( class_Rings_Osemiring__1(T_b)
% 27.83/28.07 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_of__nat__in__Nats,axiom,
% 27.83/28.07 ! [V_n_2,T_b] :
% 27.83/28.07 ( class_Rings_Osemiring__1(T_b)
% 27.83/28.07 => 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))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_numeral__3__eq__3,axiom,
% 27.83/28.07 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)))) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_numeral__1__eq__Suc__0,axiom,
% 27.83/28.07 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)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_power3__eq__cube,axiom,
% 27.83/28.07 ! [V_a,T_a] :
% 27.83/28.07 ( class_Groups_Omonoid__mult(T_a)
% 27.83/28.07 => 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) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 27.83/28.07 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))))) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Suc3__eq__add__3,axiom,
% 27.83/28.07 ! [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) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 27.83/28.07 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)))) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 27.83/28.07 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)))) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_le__special_I2_J,axiom,
% 27.83/28.07 ! [V_y_2,T_b] :
% 27.83/28.07 ( ( class_Int_Onumber__ring(T_b)
% 27.83/28.07 & class_Rings_Olinordered__idom(T_b) )
% 27.83/28.07 => ( 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)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_le__special_I4_J,axiom,
% 27.83/28.07 ! [V_x_2,T_b] :
% 27.83/28.07 ( ( class_Int_Onumber__ring(T_b)
% 27.83/28.07 & class_Rings_Olinordered__idom(T_b) )
% 27.83/28.07 => ( 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)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_less__special_I4_J,axiom,
% 27.83/28.07 ! [V_x_2,T_b] :
% 27.83/28.07 ( ( class_Int_Onumber__ring(T_b)
% 27.83/28.07 & class_Rings_Olinordered__idom(T_b) )
% 27.83/28.07 => ( 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)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_less__special_I2_J,axiom,
% 27.83/28.07 ! [V_y_2,T_b] :
% 27.83/28.07 ( ( class_Int_Onumber__ring(T_b)
% 27.83/28.07 & class_Rings_Olinordered__idom(T_b) )
% 27.83/28.07 => ( 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)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_add__special_I2_J,axiom,
% 27.83/28.07 ! [V_w,T_a] :
% 27.83/28.07 ( class_Int_Onumber__ring(T_a)
% 27.83/28.07 => 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)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_add__special_I3_J,axiom,
% 27.83/28.07 ! [V_v,T_a] :
% 27.83/28.07 ( class_Int_Onumber__ring(T_a)
% 27.83/28.07 => 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))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 27.83/28.07 ! [V_m,V_n] :
% 27.83/28.07 ( 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))
% 27.83/28.07 => 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)))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 27.83/28.07 ! [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)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 27.83/28.07 ! [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) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 27.83/28.07 ! [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)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_div__Suc__eq__div__add3,axiom,
% 27.83/28.07 ! [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)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Suc__div__eq__add3__div,axiom,
% 27.83/28.07 ! [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) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_neg__zmod__mult__2,axiom,
% 27.83/28.07 ! [V_b,V_a] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.07 => 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)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_zmod__number__of__Bit1,axiom,
% 27.83/28.07 ! [V_v,V_w] :
% 27.83/28.07 ( ( 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)))
% 27.83/28.07 => 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)) )
% 27.83/28.07 & ( ~ 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)))
% 27.83/28.07 => 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)) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_neg__zdiv__mult__2,axiom,
% 27.83/28.07 ! [V_b,V_a] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.07 => 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) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_pos__zdiv__mult__2,axiom,
% 27.83/28.07 ! [V_b,V_a] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 27.83/28.07 => 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) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_pos__zmod__mult__2,axiom,
% 27.83/28.07 ! [V_b,V_a] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 27.83/28.07 => 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))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_of__nat__double,axiom,
% 27.83/28.07 ! [V_x,T_a] :
% 27.83/28.07 ( class_Rings_Osemiring__1(T_a)
% 27.83/28.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 27.83/28.07 => 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))) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I48_J,axiom,
% 27.83/28.07 ! [V_l_2,V_k_2] :
% 27.83/28.07 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 27.83/28.07 <=> V_k_2 = V_l_2 ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_less__eq__int__code_I13_J,axiom,
% 27.83/28.07 ! [V_k2_2,V_k1_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I31_J,axiom,
% 27.83/28.07 ! [V_l_2,V_k_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_less__int__code_I13_J,axiom,
% 27.83/28.07 ! [V_k2_2,V_k1_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I14_J,axiom,
% 27.83/28.07 ! [V_l_2,V_k_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I44_J,axiom,
% 27.83/28.07 ! [V_k_2] :
% 27.83/28.07 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 27.83/28.07 <=> V_k_2 = c_Int_OPls ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I38_J,axiom,
% 27.83/28.07 ! [V_l_2] :
% 27.83/28.07 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 27.83/28.07 <=> c_Int_OPls = V_l_2 ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Bit0__Pls,axiom,
% 27.83/28.07 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I50_J,axiom,
% 27.83/28.07 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I49_J,axiom,
% 27.83/28.07 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Bit0__def,axiom,
% 27.83/28.07 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_add__Bit0__Bit0,axiom,
% 27.83/28.07 ! [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)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_mult__Bit0,axiom,
% 27.83/28.07 ! [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)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_diff__bin__simps_I7_J,axiom,
% 27.83/28.07 ! [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)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_minus__Bit0,axiom,
% 27.83/28.07 ! [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)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I45_J,axiom,
% 27.83/28.07 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I42_J,axiom,
% 27.83/28.07 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_bin__less__0__simps_I3_J,axiom,
% 27.83/28.07 ! [V_w_2] :
% 27.83/28.07 ( 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)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I21_J,axiom,
% 27.83/28.07 ! [V_k_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I27_J,axiom,
% 27.83/28.07 ! [V_k_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I32_J,axiom,
% 27.83/28.07 ! [V_l_2,V_k_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_less__eq__int__code_I14_J,axiom,
% 27.83/28.07 ! [V_k2_2,V_k1_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I10_J,axiom,
% 27.83/28.07 ! [V_k_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I4_J,axiom,
% 27.83/28.07 ! [V_k_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_less__int__code_I15_J,axiom,
% 27.83/28.07 ! [V_k2_2,V_k1_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I16_J,axiom,
% 27.83/28.07 ! [V_l_2,V_k_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_add__Bit1__Bit0,axiom,
% 27.83/28.07 ! [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)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_add__Bit0__Bit1,axiom,
% 27.83/28.07 ! [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)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_diff__bin__simps_I3_J,axiom,
% 27.83/28.07 ! [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)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_diff__bin__simps_I9_J,axiom,
% 27.83/28.07 ! [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)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_diff__bin__simps_I10_J,axiom,
% 27.83/28.07 ! [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)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I28_J,axiom,
% 27.83/28.07 ! [V_k_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I8_J,axiom,
% 27.83/28.07 ! [V_k_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_zdiv__number__of__Bit0,axiom,
% 27.83/28.07 ! [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)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_neg__number__of__Bit0,axiom,
% 27.83/28.07 ! [V_w_2] :
% 27.83/28.07 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 27.83/28.07 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_pred__Bit1,axiom,
% 27.83/28.07 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_pred__Bit0,axiom,
% 27.83/28.07 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_pred__Min,axiom,
% 27.83/28.07 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_iszero__number__of__Bit0,axiom,
% 27.83/28.07 ! [V_w_2,T_b] :
% 27.83/28.07 ( ( class_Int_Onumber__ring(T_b)
% 27.83/28.07 & class_Int_Oring__char__0(T_b) )
% 27.83/28.07 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2)))
% 27.83/28.07 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_succ__Bit0,axiom,
% 27.83/28.07 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_succ__Bit1,axiom,
% 27.83/28.07 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_number__of__Bit0,axiom,
% 27.83/28.07 ! [V_w,T_a] :
% 27.83/28.07 ( class_Int_Onumber__ring(T_a)
% 27.83/28.07 => 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)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I15_J,axiom,
% 27.83/28.07 ! [V_l_2,V_k_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_less__int__code_I14_J,axiom,
% 27.83/28.07 ! [V_k2_2,V_k1_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I33_J,axiom,
% 27.83/28.07 ! [V_l_2,V_k_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_less__eq__int__code_I15_J,axiom,
% 27.83/28.07 ! [V_k2_2,V_k1_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_mult__Bit1,axiom,
% 27.83/28.07 ! [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) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I25_J,axiom,
% 27.83/28.07 ! [V_k_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_rel__simps_I11_J,axiom,
% 27.83/28.07 ! [V_k_2] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_diff__bin__simps_I5_J,axiom,
% 27.83/28.07 ! [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)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_diff__bin__simps_I6_J,axiom,
% 27.83/28.07 ! [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)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_diff__bin__simps_I8_J,axiom,
% 27.83/28.07 ! [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)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_add__Bit1__Bit1,axiom,
% 27.83/28.07 ! [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))) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_double__number__of__Bit0,axiom,
% 27.83/28.07 ! [V_w,T_a] :
% 27.83/28.07 ( class_Int_Onumber__ring(T_a)
% 27.83/28.07 => 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)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_number__of1,axiom,
% 27.83/28.07 ! [V_n] :
% 27.83/28.07 ( 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)))
% 27.83/28.07 => ( 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))))
% 27.83/28.07 & 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)))) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_mult__2,axiom,
% 27.83/28.07 ! [V_z,T_a] :
% 27.83/28.07 ( class_Int_Onumber__ring(T_a)
% 27.83/28.07 => 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) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_mult__2__right,axiom,
% 27.83/28.07 ! [V_z,T_a] :
% 27.83/28.07 ( class_Int_Onumber__ring(T_a)
% 27.83/28.07 => 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) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_one__add__one__is__two,axiom,
% 27.83/28.07 ! [T_a] :
% 27.83/28.07 ( class_Int_Onumber__ring(T_a)
% 27.83/28.07 => 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))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_zero__eq__power2,axiom,
% 27.83/28.07 ! [V_a_2,T_b] :
% 27.83/28.07 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 27.83/28.07 => ( 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)
% 27.83/28.07 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_zero__power2,axiom,
% 27.83/28.07 ! [T_a] :
% 27.83/28.07 ( class_Rings_Osemiring__1(T_a)
% 27.83/28.07 => 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) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_semiring__norm_I115_J,axiom,
% 27.83/28.07 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))) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_numeral__2__eq__2,axiom,
% 27.83/28.07 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))) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 27.83/28.07 ! [V_x,T_a] :
% 27.83/28.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.07 => 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)))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_power2__eq__square,axiom,
% 27.83/28.07 ! [V_a,T_a] :
% 27.83/28.07 ( class_Groups_Omonoid__mult(T_a)
% 27.83/28.07 => 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) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 27.83/28.07 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))))) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_add__2__eq__Suc,axiom,
% 27.83/28.07 ! [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)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_add__2__eq__Suc_H,axiom,
% 27.83/28.07 ! [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)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_one__power2,axiom,
% 27.83/28.07 ! [T_a] :
% 27.83/28.07 ( class_Rings_Osemiring__1(T_a)
% 27.83/28.07 => 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) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_power2__minus,axiom,
% 27.83/28.07 ! [V_a,T_a] :
% 27.83/28.07 ( class_Rings_Oring__1(T_a)
% 27.83/28.07 => 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)))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_nat__mult__2__right,axiom,
% 27.83/28.07 ! [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) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_nat__mult__2,axiom,
% 27.83/28.07 ! [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) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_power__even__eq,axiom,
% 27.83/28.07 ! [V_n,V_a,T_a] :
% 27.83/28.07 ( class_Groups_Omonoid__mult(T_a)
% 27.83/28.07 => 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)))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 27.83/28.07 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)))) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 27.83/28.07 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)))) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_power2__abs,axiom,
% 27.83/28.07 ! [V_a,T_a] :
% 27.83/28.07 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.07 => 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)))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_abs__power2,axiom,
% 27.83/28.07 ! [V_a,T_a] :
% 27.83/28.07 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.07 => 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)))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_nat__1__add__1,axiom,
% 27.83/28.07 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))) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_mod2__Suc__Suc,axiom,
% 27.83/28.07 ! [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)))) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_div2__Suc__Suc,axiom,
% 27.83/28.07 ! [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))))) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_zmod__number__of__Bit0,axiom,
% 27.83/28.07 ! [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))) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_add__self__div__2,axiom,
% 27.83/28.07 ! [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 ).
% 27.83/28.07
% 27.83/28.07 fof(fact_zero__le__power2,axiom,
% 27.83/28.07 ! [V_a,T_a] :
% 27.83/28.07 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.07 => 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)))))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_power2__le__imp__le,axiom,
% 27.83/28.07 ! [V_y,V_x,T_a] :
% 27.83/28.07 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.07 => ( 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))))))
% 27.83/28.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 27.83/28.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_power2__eq__imp__eq,axiom,
% 27.83/28.07 ! [V_y,V_x,T_a] :
% 27.83/28.07 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.07 => ( 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))))
% 27.83/28.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 27.83/28.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 27.83/28.07 => V_x = V_y ) ) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_zero__less__power2,axiom,
% 27.83/28.07 ! [V_a_2,T_b] :
% 27.83/28.07 ( class_Rings_Olinordered__idom(T_b)
% 27.83/28.07 => ( 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))))))
% 27.83/28.07 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_power2__less__0,axiom,
% 27.83/28.07 ! [V_a,T_a] :
% 27.83/28.07 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.07 => ~ 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))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_sum__power2__eq__zero__iff,axiom,
% 27.83/28.07 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.07 ( class_Rings_Olinordered__idom(T_b)
% 27.83/28.07 => ( 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)
% 27.83/28.07 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.07 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_power2__eq__square__number__of,axiom,
% 27.83/28.07 ! [V_w,T_b] :
% 27.83/28.07 ( ( class_Groups_Omonoid__mult(T_b)
% 27.83/28.07 & class_Int_Onumber(T_b) )
% 27.83/28.07 => 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)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_less__2__cases,axiom,
% 27.83/28.07 ! [V_n] :
% 27.83/28.07 ( 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)))))
% 27.83/28.07 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.07 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_nat__2,axiom,
% 27.83/28.07 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))) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_power2__eq__1__iff,axiom,
% 27.83/28.07 ! [V_a_2,T_b] :
% 27.83/28.07 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 27.83/28.07 => ( 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)
% 27.83/28.07 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b)
% 27.83/28.07 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 27.83/28.07 ! [V_n,V_x,T_a] :
% 27.83/28.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.07 => 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)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_power__minus__even,axiom,
% 27.83/28.07 ! [V_n,V_a,T_a] :
% 27.83/28.07 ( class_Rings_Oring__1(T_a)
% 27.83/28.07 => 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)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_power2__less__imp__less,axiom,
% 27.83/28.07 ! [V_y,V_x,T_a] :
% 27.83/28.07 ( class_Rings_Olinordered__semidom(T_a)
% 27.83/28.07 => ( 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))))))
% 27.83/28.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 27.83/28.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_sum__power2__ge__zero,axiom,
% 27.83/28.07 ! [V_y,V_x,T_a] :
% 27.83/28.07 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.07 => 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))))))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_sum__power2__le__zero__iff,axiom,
% 27.83/28.07 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.07 ( class_Rings_Olinordered__idom(T_b)
% 27.83/28.07 => ( 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)))
% 27.83/28.07 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.07 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_not__sum__power2__lt__zero,axiom,
% 27.83/28.07 ! [V_y,V_x,T_a] :
% 27.83/28.07 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.07 => ~ 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))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_sum__power2__gt__zero__iff,axiom,
% 27.83/28.07 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.07 ( class_Rings_Olinordered__idom(T_b)
% 27.83/28.07 => ( 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)))))))
% 27.83/28.07 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.07 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_power2__sum,axiom,
% 27.83/28.07 ! [V_y,V_x,T_a] :
% 27.83/28.07 ( class_Int_Onumber__ring(T_a)
% 27.83/28.07 => 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)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_zero__le__even__power_H,axiom,
% 27.83/28.07 ! [V_n,V_a,T_a] :
% 27.83/28.07 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.07 => 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)))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 27.83/28.07 ! [V_n,V_x,T_a] :
% 27.83/28.07 ( class_Rings_Ocomm__semiring__1(T_a)
% 27.83/28.07 => 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))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_power__odd__eq,axiom,
% 27.83/28.07 ! [V_n,V_a,T_a] :
% 27.83/28.07 ( class_Groups_Omonoid__mult(T_a)
% 27.83/28.07 => 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))))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_power__minus1__even,axiom,
% 27.83/28.07 ! [V_n,T_a] :
% 27.83/28.07 ( class_Rings_Oring__1(T_a)
% 27.83/28.07 => 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) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_zdiv__number__of__Bit1,axiom,
% 27.83/28.07 ! [V_v,V_w] :
% 27.83/28.07 ( ( 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)))
% 27.83/28.07 => 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)) )
% 27.83/28.07 & ( ~ 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)))
% 27.83/28.07 => 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)) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_mod2__gr__0,axiom,
% 27.83/28.07 ! [V_m_2] :
% 27.83/28.07 ( 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))))))
% 27.83/28.07 <=> 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) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_div__2__gt__zero,axiom,
% 27.83/28.07 ! [V_n] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 27.83/28.07 => 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)))))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_power2__diff,axiom,
% 27.83/28.07 ! [V_y,V_x,T_a] :
% 27.83/28.07 ( class_Int_Onumber__ring(T_a)
% 27.83/28.07 => 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)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 27.83/28.07 ! [V_n,V_a,T_a] :
% 27.83/28.07 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.07 => ( 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)))))
% 27.83/28.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_odd__power__less__zero,axiom,
% 27.83/28.07 ! [V_n,V_a,T_a] :
% 27.83/28.07 ( class_Rings_Olinordered__idom(T_a)
% 27.83/28.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.07 => 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))) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_power__minus1__odd,axiom,
% 27.83/28.07 ! [V_n,T_a] :
% 27.83/28.07 ( class_Rings_Oring__1(T_a)
% 27.83/28.07 => 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)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_power__m1__even,axiom,
% 27.83/28.07 ! [V_n,T_a] :
% 27.83/28.07 ( class_Int_Onumber__ring(T_a)
% 27.83/28.07 => 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) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_power__m1__odd,axiom,
% 27.83/28.07 ! [V_n,T_a] :
% 27.83/28.07 ( class_Int_Onumber__ring(T_a)
% 27.83/28.07 => 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) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 27.83/28.07 ! [V_n] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 27.83/28.07 => 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)))))) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_int__of__code,axiom,
% 27.83/28.07 ! [V_k] :
% 27.83/28.07 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 27.83/28.07 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 27.83/28.07 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 27.83/28.07 => ( ( 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)
% 27.83/28.07 => 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)))))) )
% 27.83/28.07 & ( 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)
% 27.83/28.07 => 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)) ) ) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_one__code__numeral__code,axiom,
% 27.83/28.07 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)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_half__gt__zero,axiom,
% 27.83/28.07 ! [V_r,T_a] :
% 27.83/28.07 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 27.83/28.07 & class_Int_Onumber__ring(T_a) )
% 27.83/28.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 27.83/28.07 => 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)))))) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_half__gt__zero__iff,axiom,
% 27.83/28.07 ! [V_r_2,T_b] :
% 27.83/28.07 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 27.83/28.07 & class_Int_Onumber__ring(T_b) )
% 27.83/28.07 => ( 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))))))
% 27.83/28.07 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 27.83/28.07 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_nat__intermed__int__val,axiom,
% 27.83/28.07 ! [V_k_2,V_f_2,V_n_2,V_m_2] :
% 27.83/28.07 ( ! [B_i] :
% 27.83/28.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 27.83/28.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) )
% 27.83/28.07 => 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))) )
% 27.83/28.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 27.83/28.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 27.83/28.07 => ? [B_i] :
% 27.83/28.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 27.83/28.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 27.83/28.07 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_code__numeral__zero__minus__one,axiom,
% 27.83/28.07 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) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_divide__zero,axiom,
% 27.83/28.07 ! [V_a,T_a] :
% 27.83/28.07 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 27.83/28.07 => 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) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_divide__zero__left,axiom,
% 27.83/28.07 ! [V_a,T_a] :
% 27.83/28.07 ( class_Rings_Odivision__ring(T_a)
% 27.83/28.07 => 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) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_add__divide__distrib,axiom,
% 27.83/28.07 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.07 ( class_Rings_Odivision__ring(T_a)
% 27.83/28.07 => 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)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_times__divide__times__eq,axiom,
% 27.83/28.07 ! [V_w,V_z,V_y,V_x,T_a] :
% 27.83/28.07 ( class_Fields_Ofield__inverse__zero(T_a)
% 27.83/28.07 => 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)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_times__divide__eq__right,axiom,
% 27.83/28.07 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.07 ( class_Rings_Odivision__ring(T_a)
% 27.83/28.07 => 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) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_diff__divide__distrib,axiom,
% 27.83/28.07 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.07 ( class_Rings_Odivision__ring(T_a)
% 27.83/28.07 => 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)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_divide__1,axiom,
% 27.83/28.07 ! [V_a,T_a] :
% 27.83/28.07 ( class_Rings_Odivision__ring(T_a)
% 27.83/28.07 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_minus__divide__right,axiom,
% 27.83/28.07 ! [V_b,V_a,T_a] :
% 27.83/28.07 ( class_Fields_Ofield__inverse__zero(T_a)
% 27.83/28.07 => 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)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_minus__divide__divide,axiom,
% 27.83/28.07 ! [V_b,V_a,T_a] :
% 27.83/28.07 ( class_Fields_Ofield__inverse__zero(T_a)
% 27.83/28.07 => 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) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_minus__divide__left,axiom,
% 27.83/28.07 ! [V_b,V_a,T_a] :
% 27.83/28.07 ( class_Rings_Odivision__ring(T_a)
% 27.83/28.07 => 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) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_power__divide,axiom,
% 27.83/28.07 ! [V_n,V_b,V_a,T_a] :
% 27.83/28.07 ( class_Fields_Ofield__inverse__zero(T_a)
% 27.83/28.07 => 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)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_abs__divide,axiom,
% 27.83/28.07 ! [V_b,V_a,T_a] :
% 27.83/28.07 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 27.83/28.07 => 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)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 27.83/28.07 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 27.83/28.07 ! [V_y,V_x] :
% 27.83/28.07 ( c_Nat__Transfer_Ois__nat(V_x)
% 27.83/28.07 => ( c_Nat__Transfer_Ois__nat(V_y)
% 27.83/28.07 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 27.83/28.07 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 27.83/28.07 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 27.83/28.07 ! [V_y,V_x] :
% 27.83/28.07 ( c_Nat__Transfer_Ois__nat(V_x)
% 27.83/28.07 => ( c_Nat__Transfer_Ois__nat(V_y)
% 27.83/28.07 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 27.83/28.07 ! [V_y,V_x] :
% 27.83/28.07 ( c_Nat__Transfer_Ois__nat(V_x)
% 27.83/28.07 => ( c_Nat__Transfer_Ois__nat(V_y)
% 27.83/28.07 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 27.83/28.07 ! [V_y,V_x] :
% 27.83/28.07 ( c_Nat__Transfer_Ois__nat(V_x)
% 27.83/28.07 => ( c_Nat__Transfer_Ois__nat(V_y)
% 27.83/28.07 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 27.83/28.07 ! [V_n,V_x] :
% 27.83/28.07 ( c_Nat__Transfer_Ois__nat(V_x)
% 27.83/28.07 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_zero__le__divide__iff,axiom,
% 27.83/28.07 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.07 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 27.83/28.07 => ( 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)))
% 27.83/28.07 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 27.83/28.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 27.83/28.07 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_divide__le__0__iff,axiom,
% 27.83/28.07 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.07 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 27.83/28.07 => ( 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)))
% 27.83/28.07 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 27.83/28.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 27.83/28.07 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.07 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_divide__right__mono,axiom,
% 27.83/28.07 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.07 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 27.83/28.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 27.83/28.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 27.83/28.07 => 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))) ) ) ) ).
% 27.83/28.07
% 27.83/28.07 fof(fact_divide__right__mono__neg,axiom,
% 27.83/28.07 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.07 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 27.83/28.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 27.83/28.07 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.07 => 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))) ) ) ) ).
% 27.83/28.07
% 27.83/28.08 fof(fact_divide__strict__right__mono__neg,axiom,
% 27.83/28.08 ! [V_c,V_a,V_b,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.08 => 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))) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__strict__right__mono,axiom,
% 27.83/28.08 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 27.83/28.08 => 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))) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__neg__neg,axiom,
% 27.83/28.08 ! [V_y,V_x,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.08 => 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))) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__neg__pos,axiom,
% 27.83/28.08 ! [V_y,V_x,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 27.83/28.08 => 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))) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__pos__neg,axiom,
% 27.83/28.08 ! [V_y,V_x,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.08 => 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))) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__pos__pos,axiom,
% 27.83/28.08 ! [V_y,V_x,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 27.83/28.08 => 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))) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__less__0__iff,axiom,
% 27.83/28.08 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.08 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 27.83/28.08 => ( 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)))
% 27.83/28.08 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 27.83/28.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 27.83/28.08 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_zero__less__divide__iff,axiom,
% 27.83/28.08 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.08 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 27.83/28.08 => ( 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)))
% 27.83/28.08 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 27.83/28.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 27.83/28.08 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_eq__divide__eq,axiom,
% 27.83/28.08 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 27.83/28.08 ( class_Fields_Ofield__inverse__zero(T_b)
% 27.83/28.08 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 27.83/28.08 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 )
% 27.83/28.08 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.08 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__eq__eq,axiom,
% 27.83/28.08 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 27.83/28.08 ( class_Fields_Ofield__inverse__zero(T_b)
% 27.83/28.08 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 27.83/28.08 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.08 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) )
% 27.83/28.08 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.08 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_mult__divide__mult__cancel__right,axiom,
% 27.83/28.08 ! [V_b,V_a,V_c,T_a] :
% 27.83/28.08 ( class_Fields_Ofield__inverse__zero(T_a)
% 27.83/28.08 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.08 => 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) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_mult__divide__mult__cancel__left,axiom,
% 27.83/28.08 ! [V_b,V_a,V_c,T_a] :
% 27.83/28.08 ( class_Fields_Ofield__inverse__zero(T_a)
% 27.83/28.08 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.08 => 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) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_frac__eq__eq,axiom,
% 27.83/28.08 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] :
% 27.83/28.08 ( class_Fields_Ofield(T_b)
% 27.83/28.08 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.08 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.08 => ( 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)
% 27.83/28.08 <=> 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) ) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_eq__divide__imp,axiom,
% 27.83/28.08 ! [V_b,V_a,V_c,T_a] :
% 27.83/28.08 ( class_Rings_Odivision__ring(T_a)
% 27.83/28.08 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.08 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 27.83/28.08 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__eq__imp,axiom,
% 27.83/28.08 ! [V_a,V_b,V_c,T_a] :
% 27.83/28.08 ( class_Rings_Odivision__ring(T_a)
% 27.83/28.08 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.08 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 27.83/28.08 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_nonzero__divide__eq__eq,axiom,
% 27.83/28.08 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 27.83/28.08 ( class_Rings_Odivision__ring(T_b)
% 27.83/28.08 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.08 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 27.83/28.08 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_nonzero__eq__divide__eq,axiom,
% 27.83/28.08 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 27.83/28.08 ( class_Rings_Odivision__ring(T_b)
% 27.83/28.08 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.08 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 27.83/28.08 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_right__inverse__eq,axiom,
% 27.83/28.08 ! [V_a_2,V_b_2,T_b] :
% 27.83/28.08 ( class_Rings_Odivision__ring(T_b)
% 27.83/28.08 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.08 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b)
% 27.83/28.08 <=> V_a_2 = V_b_2 ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__self,axiom,
% 27.83/28.08 ! [V_a,T_a] :
% 27.83/28.08 ( class_Rings_Odivision__ring(T_a)
% 27.83/28.08 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.08 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__self__if,axiom,
% 27.83/28.08 ! [V_a,T_a] :
% 27.83/28.08 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 27.83/28.08 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.08 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 27.83/28.08 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.08 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_nonzero__minus__divide__divide,axiom,
% 27.83/28.08 ! [V_a,V_b,T_a] :
% 27.83/28.08 ( class_Rings_Odivision__ring(T_a)
% 27.83/28.08 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.08 => 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) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_nonzero__minus__divide__right,axiom,
% 27.83/28.08 ! [V_a,V_b,T_a] :
% 27.83/28.08 ( class_Rings_Odivision__ring(T_a)
% 27.83/28.08 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.08 => 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)) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_nonzero__power__divide,axiom,
% 27.83/28.08 ! [V_n,V_a,V_b,T_a] :
% 27.83/28.08 ( class_Fields_Ofield(T_a)
% 27.83/28.08 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.08 => 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)) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_nonzero__abs__divide,axiom,
% 27.83/28.08 ! [V_a,V_b,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_a)
% 27.83/28.08 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.08 => 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)) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_power__one__over,axiom,
% 27.83/28.08 ! [V_n,V_a,T_a] :
% 27.83/28.08 ( class_Fields_Ofield__inverse__zero(T_a)
% 27.83/28.08 => 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) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 27.83/28.08 ! [V_y,V_x] :
% 27.83/28.08 ( c_Nat__Transfer_Ois__nat(V_x)
% 27.83/28.08 => ( c_Nat__Transfer_Ois__nat(V_y)
% 27.83/28.08 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__nonpos__neg,axiom,
% 27.83/28.08 ! [V_y,V_x,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.08 => 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))) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__nonpos__pos,axiom,
% 27.83/28.08 ! [V_y,V_x,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 27.83/28.08 => 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))) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_frac__le,axiom,
% 27.83/28.08 ! [V_z,V_w,V_y,V_x,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 27.83/28.08 => 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))) ) ) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_frac__less,axiom,
% 27.83/28.08 ! [V_z,V_w,V_y,V_x,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 27.83/28.08 => 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))) ) ) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_frac__less2,axiom,
% 27.83/28.08 ! [V_z,V_w,V_y,V_x,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 27.83/28.08 => 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))) ) ) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__nonneg__neg,axiom,
% 27.83/28.08 ! [V_y,V_x,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.08 => 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))) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__nonneg__pos,axiom,
% 27.83/28.08 ! [V_y,V_x,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 27.83/28.08 => 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))) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__strict__left__mono__neg,axiom,
% 27.83/28.08 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.08 => ( 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)))
% 27.83/28.08 => 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))) ) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__strict__left__mono,axiom,
% 27.83/28.08 ! [V_c,V_a,V_b,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 27.83/28.08 => ( 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)))
% 27.83/28.08 => 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))) ) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_neg__divide__less__eq,axiom,
% 27.83/28.08 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_b)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.08 => ( 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))
% 27.83/28.08 <=> 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)) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_neg__less__divide__eq,axiom,
% 27.83/28.08 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_b)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.08 => ( 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)))
% 27.83/28.08 <=> 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))) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_mult__imp__less__div__pos,axiom,
% 27.83/28.08 ! [V_x,V_z,V_y,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 27.83/28.08 => ( 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))
% 27.83/28.08 => 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))) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_mult__imp__div__pos__less,axiom,
% 27.83/28.08 ! [V_z,V_x,V_y,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 27.83/28.08 => ( 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)))
% 27.83/28.08 => 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)) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_pos__divide__less__eq,axiom,
% 27.83/28.08 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_b)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 27.83/28.08 => ( 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))
% 27.83/28.08 <=> 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))) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_pos__less__divide__eq,axiom,
% 27.83/28.08 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_b)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 27.83/28.08 => ( 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)))
% 27.83/28.08 <=> 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)) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__less__eq,axiom,
% 27.83/28.08 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 27.83/28.08 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 27.83/28.08 => ( 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))
% 27.83/28.08 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 27.83/28.08 => 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))) )
% 27.83/28.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 27.83/28.08 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.08 => 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)) )
% 27.83/28.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_less__divide__eq,axiom,
% 27.83/28.08 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 27.83/28.08 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 27.83/28.08 => ( 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)))
% 27.83/28.08 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 27.83/28.08 => 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)) )
% 27.83/28.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 27.83/28.08 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.08 => 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))) )
% 27.83/28.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_is__nat__def,axiom,
% 27.83/28.08 ! [V_x_2] :
% 27.83/28.08 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 27.83/28.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_add__frac__eq,axiom,
% 27.83/28.08 ! [V_w,V_x,V_z,V_y,T_a] :
% 27.83/28.08 ( class_Fields_Ofield(T_a)
% 27.83/28.08 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.08 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.08 => 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)) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__add__eq__iff,axiom,
% 27.83/28.08 ! [V_y,V_x,V_z,T_a] :
% 27.83/28.08 ( class_Fields_Ofield(T_a)
% 27.83/28.08 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.08 => 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) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_add__frac__num,axiom,
% 27.83/28.08 ! [V_z,V_x,V_y,T_a] :
% 27.83/28.08 ( class_Fields_Ofield__inverse__zero(T_a)
% 27.83/28.08 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.08 => 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) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_add__divide__eq__iff,axiom,
% 27.83/28.08 ! [V_y,V_x,V_z,T_a] :
% 27.83/28.08 ( class_Fields_Ofield(T_a)
% 27.83/28.08 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.08 => 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) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_add__num__frac,axiom,
% 27.83/28.08 ! [V_x,V_z,V_y,T_a] :
% 27.83/28.08 ( class_Fields_Ofield__inverse__zero(T_a)
% 27.83/28.08 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.08 => 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) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_diff__frac__eq,axiom,
% 27.83/28.08 ! [V_w,V_x,V_z,V_y,T_a] :
% 27.83/28.08 ( class_Fields_Ofield(T_a)
% 27.83/28.08 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.08 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.08 => 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)) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__diff__eq__iff,axiom,
% 27.83/28.08 ! [V_y,V_x,V_z,T_a] :
% 27.83/28.08 ( class_Fields_Ofield(T_a)
% 27.83/28.08 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.08 => 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) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_diff__divide__eq__iff,axiom,
% 27.83/28.08 ! [V_y,V_x,V_z,T_a] :
% 27.83/28.08 ( class_Fields_Ofield(T_a)
% 27.83/28.08 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.08 => 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) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__eq__eq__number__of1,axiom,
% 27.83/28.08 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 27.83/28.08 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 27.83/28.08 & class_Int_Onumber(T_b) )
% 27.83/28.08 => ( 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
% 27.83/28.08 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.08 => 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)) )
% 27.83/28.08 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.08 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__eq__eq__number__of,axiom,
% 27.83/28.08 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 27.83/28.08 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 27.83/28.08 & class_Int_Onumber(T_b) )
% 27.83/28.08 => ( 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)
% 27.83/28.08 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.08 => 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) )
% 27.83/28.08 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.08 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_eq__divide__eq__number__of,axiom,
% 27.83/28.08 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 27.83/28.08 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 27.83/28.08 & class_Int_Onumber(T_b) )
% 27.83/28.08 => ( 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)
% 27.83/28.08 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.08 => 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 )
% 27.83/28.08 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.08 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_eq__divide__eq__number__of1,axiom,
% 27.83/28.08 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 27.83/28.08 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 27.83/28.08 & class_Int_Onumber(T_b) )
% 27.83/28.08 => ( 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))
% 27.83/28.08 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.08 => 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 )
% 27.83/28.08 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.08 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_gt__half__sum,axiom,
% 27.83/28.08 ! [V_b,V_a,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 27.83/28.08 => 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)) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_less__half__sum,axiom,
% 27.83/28.08 ! [V_b,V_a,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 27.83/28.08 => 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))))) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__Numeral0,axiom,
% 27.83/28.08 ! [V_x,T_a] :
% 27.83/28.08 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 27.83/28.08 & class_Int_Onumber__ring(T_a) )
% 27.83/28.08 => 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) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_abs__div__pos,axiom,
% 27.83/28.08 ! [V_x,V_y,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 27.83/28.08 => 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)) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__numeral__1,axiom,
% 27.83/28.08 ! [V_a,T_a] :
% 27.83/28.08 ( ( class_Fields_Ofield(T_a)
% 27.83/28.08 & class_Int_Onumber__ring(T_a) )
% 27.83/28.08 => 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 ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__Numeral1,axiom,
% 27.83/28.08 ! [V_x,T_a] :
% 27.83/28.08 ( ( class_Fields_Ofield(T_a)
% 27.83/28.08 & class_Int_Onumber__ring(T_a) )
% 27.83/28.08 => 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 ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__minus1,axiom,
% 27.83/28.08 ! [V_x,T_a] :
% 27.83/28.08 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 27.83/28.08 & class_Int_Onumber__ring(T_a) )
% 27.83/28.08 => 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) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_zero__code__numeral__code,axiom,
% 27.83/28.08 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) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__left__mono__neg,axiom,
% 27.83/28.08 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 27.83/28.08 => ( 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)))
% 27.83/28.08 => 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))) ) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__left__mono,axiom,
% 27.83/28.08 ! [V_c,V_a,V_b,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 27.83/28.08 => ( 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)))
% 27.83/28.08 => 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))) ) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_neg__divide__le__eq,axiom,
% 27.83/28.08 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_b)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.08 => ( 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))
% 27.83/28.08 <=> 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)) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_neg__le__divide__eq,axiom,
% 27.83/28.08 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_b)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.08 => ( 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)))
% 27.83/28.08 <=> 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))) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_mult__imp__le__div__pos,axiom,
% 27.83/28.08 ! [V_x,V_z,V_y,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 27.83/28.08 => ( 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))
% 27.83/28.08 => 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))) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_mult__imp__div__pos__le,axiom,
% 27.83/28.08 ! [V_z,V_x,V_y,T_a] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 27.83/28.08 => ( 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)))
% 27.83/28.08 => 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)) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_pos__divide__le__eq,axiom,
% 27.83/28.08 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_b)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 27.83/28.08 => ( 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))
% 27.83/28.08 <=> 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))) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_pos__le__divide__eq,axiom,
% 27.83/28.08 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 27.83/28.08 ( class_Fields_Olinordered__field(T_b)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 27.83/28.08 => ( 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)))
% 27.83/28.08 <=> 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)) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__le__eq,axiom,
% 27.83/28.08 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 27.83/28.08 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 27.83/28.08 => ( 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))
% 27.83/28.08 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 27.83/28.08 => 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))) )
% 27.83/28.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 27.83/28.08 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.08 => 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)) )
% 27.83/28.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_le__divide__eq,axiom,
% 27.83/28.08 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 27.83/28.08 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 27.83/28.08 => ( 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)))
% 27.83/28.08 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 27.83/28.08 => 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)) )
% 27.83/28.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 27.83/28.08 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.08 => 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))) )
% 27.83/28.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_less__divide__eq__number__of1,axiom,
% 27.83/28.08 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 27.83/28.08 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 27.83/28.08 & class_Int_Onumber(T_b) )
% 27.83/28.08 => ( 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))))
% 27.83/28.08 <=> ( ( 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)))
% 27.83/28.08 => 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)) )
% 27.83/28.08 & ( ~ 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)))
% 27.83/28.08 => ( ( 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)))
% 27.83/28.08 => 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)))) )
% 27.83/28.08 & ( ~ 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)))
% 27.83/28.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_less__divide__eq__number__of,axiom,
% 27.83/28.08 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 27.83/28.08 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 27.83/28.08 & class_Int_Onumber(T_b) )
% 27.83/28.08 => ( 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)))
% 27.83/28.08 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 27.83/28.08 => 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)) )
% 27.83/28.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 27.83/28.08 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.08 => 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))) )
% 27.83/28.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.08 => 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))) ) ) ) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__less__eq__number__of,axiom,
% 27.83/28.08 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 27.83/28.08 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 27.83/28.08 & class_Int_Onumber(T_b) )
% 27.83/28.08 => ( 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)))
% 27.83/28.08 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 27.83/28.08 => 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))) )
% 27.83/28.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 27.83/28.08 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.08 => 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)) )
% 27.83/28.08 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.08 => 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))) ) ) ) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_divide__less__eq__number__of1,axiom,
% 27.83/28.08 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 27.83/28.08 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 27.83/28.08 & class_Int_Onumber(T_b) )
% 27.83/28.08 => ( 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))
% 27.83/28.08 <=> ( ( 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)))
% 27.83/28.08 => 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)))) )
% 27.83/28.08 & ( ~ 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)))
% 27.83/28.08 => ( ( 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)))
% 27.83/28.08 => 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)) )
% 27.83/28.08 & ( ~ 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)))
% 27.83/28.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_power__diff,axiom,
% 27.83/28.08 ! [V_m,V_n,V_a,T_a] :
% 27.83/28.08 ( class_Fields_Ofield(T_a)
% 27.83/28.08 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 27.83/28.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 27.83/28.08 => 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)) ) ) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_minus1__divide,axiom,
% 27.83/28.08 ! [V_x,T_a] :
% 27.83/28.08 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 27.83/28.08 & class_Int_Onumber__ring(T_a) )
% 27.83/28.08 => 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)) ) ).
% 27.83/28.08
% 27.83/28.08 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 27.83/28.09 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divide__le__eq__number__of1,axiom,
% 27.83/28.09 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 27.83/28.09 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 27.83/28.09 & class_Int_Onumber(T_b) )
% 27.83/28.09 => ( 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))
% 27.83/28.09 <=> ( ( 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)))
% 27.83/28.09 => 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)))) )
% 27.83/28.09 & ( ~ 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)))
% 27.83/28.09 => ( ( 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)))
% 27.83/28.09 => 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)) )
% 27.83/28.09 & ( ~ 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)))
% 27.83/28.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divide__le__eq__number__of,axiom,
% 27.83/28.09 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 27.83/28.09 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 27.83/28.09 & class_Int_Onumber(T_b) )
% 27.83/28.09 => ( 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)))
% 27.83/28.09 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 27.83/28.09 => 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))) )
% 27.83/28.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 27.83/28.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.09 => 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)) )
% 27.83/28.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.09 => 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))) ) ) ) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_le__divide__eq__number__of,axiom,
% 27.83/28.09 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 27.83/28.09 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 27.83/28.09 & class_Int_Onumber(T_b) )
% 27.83/28.09 => ( 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)))
% 27.83/28.09 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 27.83/28.09 => 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)) )
% 27.83/28.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 27.83/28.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.09 => 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))) )
% 27.83/28.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 27.83/28.09 => 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))) ) ) ) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_le__divide__eq__number__of1,axiom,
% 27.83/28.09 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 27.83/28.09 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 27.83/28.09 & class_Int_Onumber(T_b) )
% 27.83/28.09 => ( 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))))
% 27.83/28.09 <=> ( ( 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)))
% 27.83/28.09 => 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)) )
% 27.83/28.09 & ( ~ 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)))
% 27.83/28.09 => ( ( 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)))
% 27.83/28.09 => 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)))) )
% 27.83/28.09 & ( ~ 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)))
% 27.83/28.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_nat__of__aux__code,axiom,
% 27.83/28.09 ! [V_n,V_i] :
% 27.83/28.09 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 27.83/28.09 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 27.83/28.09 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 27.83/28.09 => 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)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_code__numeral_Osize_I1_J,axiom,
% 27.83/28.09 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) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_code__numeral_Osize_I3_J,axiom,
% 27.83/28.09 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) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 27.83/28.09 ! [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 ).
% 27.83/28.09
% 27.83/28.09 fof(fact_log_Osimps,axiom,
% 27.83/28.09 ! [V_i,V_b] :
% 27.83/28.09 ( ( ( 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)))
% 27.83/28.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 27.83/28.09 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 27.83/28.09 & ( ~ ( 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)))
% 27.83/28.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 27.83/28.09 => 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))) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_measure__function__int,axiom,
% 27.83/28.09 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))) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_is__measure_Osimps,axiom,
% 27.83/28.09 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_is__measure_Oequations,axiom,
% 27.83/28.09 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_is__measure_Ointros,axiom,
% 27.83/28.09 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_measure__size,axiom,
% 27.83/28.09 ! [T_b] :
% 27.83/28.09 ( class_Nat_Osize(T_b)
% 27.83/28.09 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_minus__shift__def,axiom,
% 27.83/28.09 ! [V_r,V_l,V_k] :
% 27.83/28.09 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 27.83/28.09 => 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) )
% 27.83/28.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 27.83/28.09 => 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) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_inc__shift__def,axiom,
% 27.83/28.09 ! [V_k,V_v] :
% 27.83/28.09 ( ( V_v = V_k
% 27.83/28.09 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 27.83/28.09 & ( V_v != V_k
% 27.83/28.09 => 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)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_code__numeral_Osize_I4_J,axiom,
% 27.83/28.09 ! [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))) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_code__numeral_Osize_I2_J,axiom,
% 27.83/28.09 ! [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))) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 27.83/28.09 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.09 => ( 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)
% 27.83/28.09 => 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)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_code__numeral_Oinject,axiom,
% 27.83/28.09 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 27.83/28.09 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 27.83/28.09 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 27.83/28.09 ! [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) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 27.83/28.09 ! [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) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 27.83/28.09 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 27.83/28.09 ! [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) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 27.83/28.09 ! [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) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_Suc__code__numeral__minus__one,axiom,
% 27.83/28.09 ! [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 ).
% 27.83/28.09
% 27.83/28.09 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 27.83/28.09 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] :
% 27.83/28.09 ( 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))
% 27.83/28.09 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.09 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 27.83/28.09 | ? [B_x,B_y] :
% 27.83/28.09 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 27.83/28.09 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2))
% 27.83/28.09 & 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) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 27.83/28.09 ! [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)))) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_nat__gcd_Osimps,axiom,
% 27.83/28.09 ! [V_x,V_y] :
% 27.83/28.09 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.09 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 27.83/28.09 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.09 => 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)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_minus__code__numeral__code,axiom,
% 27.83/28.09 ! [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) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_subtract__code__numeral__def,axiom,
% 27.83/28.09 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 27.83/28.09 ! [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)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 27.83/28.09 ! [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)))) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_pair__box_Osize_I1_J,axiom,
% 27.83/28.09 ! [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))) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 27.83/28.09 ! [V_w] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( ( 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))))
% 27.83/28.09 => 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))) )
% 27.83/28.09 & ( ~ 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))))
% 27.83/28.09 => 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)))) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_diff__nat__number__of,axiom,
% 27.83/28.09 ! [V_v_2,V_v_H_2] :
% 27.83/28.09 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 27.83/28.09 => 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) )
% 27.83/28.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 27.83/28.09 => 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)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_code__numeral_Orecs_I2_J,axiom,
% 27.83/28.09 ! [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)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_o__def,axiom,
% 27.83/28.09 ! [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)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_K__record__comp,axiom,
% 27.83/28.09 ! [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 ).
% 27.83/28.09
% 27.83/28.09 fof(fact_fun__diff__def,axiom,
% 27.83/28.09 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 27.83/28.09 ( class_Groups_Ominus(T_b)
% 27.83/28.09 => 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)) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 27.83/28.09 ! [V_n_2,V_m_2] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 27.83/28.09 <=> 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)) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_fun__Compl__def,axiom,
% 27.83/28.09 ! [V_x_2,V_A_2,T_c,T_b] :
% 27.83/28.09 ( class_Groups_Ouminus(T_b)
% 27.83/28.09 => 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)) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_bot__fun__def,axiom,
% 27.83/28.09 ! [V_x_2,T_c,T_b] :
% 27.83/28.09 ( class_Orderings_Obot(T_b)
% 27.83/28.09 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_peek__and__def,axiom,
% 27.83/28.09 ! [V_s_2,V_Z_2,V_p_2,V_Pa_2,T_b] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_p_2),V_Z_2),V_s_2))
% 27.83/28.09 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_Z_2),V_s_2))
% 27.83/28.09 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_pair__box_Oinject,axiom,
% 27.83/28.09 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 27.83/28.09 ( 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)
% 27.83/28.09 <=> ( V_a_2 = V_a_H_2
% 27.83/28.09 & V_b_2 = V_b_H_2 ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_less__eq__Suc__le__raw,axiom,
% 27.83/28.09 ! [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)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_diff__Suc,axiom,
% 27.83/28.09 ! [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)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_nat__number__of__Bit0,axiom,
% 27.83/28.09 ! [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))) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_power__number__of__even,axiom,
% 27.83/28.09 ! [V_w_2,V_z_2,T_b] :
% 27.83/28.09 ( class_Int_Onumber__ring(T_b)
% 27.83/28.09 => 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))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_zpower__number__of__even,axiom,
% 27.83/28.09 ! [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))) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_power__number__of__even__number__of,axiom,
% 27.83/28.09 ! [V_w_2,V_v_2,T_b] :
% 27.83/28.09 ( class_Int_Onumber__ring(T_b)
% 27.83/28.09 => 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))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_diff__nat__eq__if,axiom,
% 27.83/28.09 ! [V_z_2,V_z_H_2] :
% 27.83/28.09 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 27.83/28.09 => 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) )
% 27.83/28.09 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 27.83/28.09 => 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)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_negDivAlg__div__mod,axiom,
% 27.83/28.09 ! [V_l,V_k] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 27.83/28.09 => 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)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_negDivAlg__minus1,axiom,
% 27.83/28.09 ! [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))) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 27.83/28.09 ! [V_n_2,T_b] :
% 27.83/28.09 ( class_Rings_Osemiring__1(T_b)
% 27.83/28.09 => 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)) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_pair__box_Osize_I2_J,axiom,
% 27.83/28.09 ! [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) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_adjust__eq,axiom,
% 27.83/28.09 ! [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))) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_LoopF,axiom,
% 27.83/28.09 ! [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)))) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_eq__number__of__Suc,axiom,
% 27.83/28.09 ! [V_n_2,V_v_2] :
% 27.83/28.09 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2)
% 27.83/28.09 <=> 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))))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_Suc__eq__number__of,axiom,
% 27.83/28.09 ! [V_v_2,V_n_2] :
% 27.83/28.09 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 27.83/28.09 <=> 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))))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_nat__case__number__of,axiom,
% 27.83/28.09 ! [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))) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_nat__number__of__Bit1,axiom,
% 27.83/28.09 ! [V_w_2] :
% 27.83/28.09 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 27.83/28.09 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 27.83/28.09 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 27.83/28.09 => 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)))) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_less__Suc__number__of,axiom,
% 27.83/28.09 ! [V_v_2,V_n_2] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 <=> 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))))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_less__number__of__Suc,axiom,
% 27.83/28.09 ! [V_n_2,V_v_2] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 <=> 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)))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_le__Suc__number__of,axiom,
% 27.83/28.09 ! [V_v_2,V_n_2] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 <=> 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))))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_le__number__of__Suc,axiom,
% 27.83/28.09 ! [V_n_2,V_v_2] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 <=> 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)))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_nat__case__add__eq__if,axiom,
% 27.83/28.09 ! [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)))) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_power__number__of__odd,axiom,
% 27.83/28.09 ! [V_z_2,V_w_2,T_b] :
% 27.83/28.09 ( class_Int_Onumber__ring(T_b)
% 27.83/28.09 => ( ( 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)))
% 27.83/28.09 => 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))) )
% 27.83/28.09 & ( ~ 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)))
% 27.83/28.09 => 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) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_zpower__number__of__odd,axiom,
% 27.83/28.09 ! [V_z_2,V_w_2] :
% 27.83/28.09 ( ( 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)))
% 27.83/28.09 => 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))) )
% 27.83/28.09 & ( ~ 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)))
% 27.83/28.09 => 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) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_negDivAlg_Osimps,axiom,
% 27.83/28.09 ! [V_b,V_a] :
% 27.83/28.09 ( ( ( 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)))
% 27.83/28.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 27.83/28.09 => 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)) )
% 27.83/28.09 & ( ~ ( 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)))
% 27.83/28.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 27.83/28.09 => 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))) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_power__number__of__odd__number__of,axiom,
% 27.83/28.09 ! [V_v_2,V_w_2,T_b] :
% 27.83/28.09 ( class_Int_Onumber__ring(T_b)
% 27.83/28.09 => ( ( 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)))
% 27.83/28.09 => 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))) )
% 27.83/28.09 & ( ~ 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)))
% 27.83/28.09 => 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) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_code__numeral_Orecs_I1_J,axiom,
% 27.83/28.09 ! [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 ).
% 27.83/28.09
% 27.83/28.09 fof(fact_negDivAlg__eqn__number__of,axiom,
% 27.83/28.09 ! [V_w,V_v] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( ( 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))))
% 27.83/28.09 => 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))) )
% 27.83/28.09 & ( ~ 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))))
% 27.83/28.09 => 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)))) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_negDivAlg__eqn,axiom,
% 27.83/28.09 ! [V_a,V_b] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 27.83/28.09 => ( ( 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)))
% 27.83/28.09 => 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)) )
% 27.83/28.09 & ( ~ 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)))
% 27.83/28.09 => 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))) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_norm__frac_Osimps,axiom,
% 27.83/28.09 ! [V_a_2,V_b_2] :
% 27.83/28.09 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.09 => 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)) )
% 27.83/28.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.09 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 27.83/28.09 => 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)) )
% 27.83/28.09 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 27.83/28.09 => 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))) ) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 27.83/28.09 ! [V_w] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( ( 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)))
% 27.83/28.09 => 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)) )
% 27.83/28.09 & ( ~ 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)))
% 27.83/28.09 => 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)))) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_posDivAlg_Osimps,axiom,
% 27.83/28.09 ! [V_b,V_a] :
% 27.83/28.09 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 27.83/28.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 27.83/28.09 => 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) )
% 27.83/28.09 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 27.83/28.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 27.83/28.09 => 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))) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_adjust__def,axiom,
% 27.83/28.09 ! [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))))))) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_in__rel__def,axiom,
% 27.83/28.09 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2))
% 27.83/28.09 <=> 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)) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_posDivAlg__0,axiom,
% 27.83/28.09 ! [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)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_posDivAlg__div__mod,axiom,
% 27.83/28.09 ! [V_l,V_k] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 27.83/28.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 27.83/28.09 => 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)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_posDivAlg__eqn,axiom,
% 27.83/28.09 ! [V_a,V_b] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 27.83/28.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 27.83/28.09 => 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) )
% 27.83/28.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 27.83/28.09 => 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))) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_posDivAlg__eqn__number__of,axiom,
% 27.83/28.09 ! [V_w,V_v] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( ( 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)))
% 27.83/28.09 => 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)) )
% 27.83/28.09 & ( ~ 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)))
% 27.83/28.09 => 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)))) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_of__int__num,axiom,
% 27.83/28.09 ! [V_k_2,T_b] :
% 27.83/28.09 ( class_Rings_Oring__1(T_b)
% 27.83/28.09 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) )
% 27.83/28.09 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.09 => 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))) )
% 27.83/28.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.09 => 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))))) ) ) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_div__mod__code__numeral__def,axiom,
% 27.83/28.09 ! [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)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_Nitpick_Orefl_H__def,axiom,
% 27.83/28.09 ! [V_r_2,T_b] :
% 27.83/28.09 ( c_Nitpick_Orefl_H(T_b,V_r_2)
% 27.83/28.09 <=> ! [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)) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divmod__nat__step,axiom,
% 27.83/28.09 ! [V_m,V_n] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 27.83/28.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 27.83/28.09 => 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)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_nat__rec__add__eq__if,axiom,
% 27.83/28.09 ! [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))))) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_nat__rec__0,axiom,
% 27.83/28.09 ! [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 ).
% 27.83/28.09
% 27.83/28.09 fof(fact_nat__rec__Suc,axiom,
% 27.83/28.09 ! [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)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divmod__nat__zero,axiom,
% 27.83/28.09 ! [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) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divmod__nat__base,axiom,
% 27.83/28.09 ! [V_n,V_m] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 27.83/28.09 => 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) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divmod__nat__div__mod,axiom,
% 27.83/28.09 ! [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)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divmod__int__mod__div,axiom,
% 27.83/28.09 ! [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)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_nat__rec__number__of,axiom,
% 27.83/28.09 ! [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)))) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_Nitpick_OFrac__def,axiom,
% 27.83/28.09 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)))) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divmod__int__def,axiom,
% 27.83/28.09 ! [V_b,V_a] :
% 27.83/28.09 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 27.83/28.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 27.83/28.09 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 27.83/28.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 27.83/28.09 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => 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)) )
% 27.83/28.09 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => 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))) ) ) ) ) )
% 27.83/28.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 27.83/28.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 27.83/28.09 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 27.83/28.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 27.83/28.09 => 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))) ) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divmod__int__pdivmod,axiom,
% 27.83/28.09 ! [V_l_2,V_k_2] :
% 27.83/28.09 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => 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)) )
% 27.83/28.09 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => 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) )
% 27.83/28.09 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => 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)))) ) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_MGT__def,axiom,
% 27.83/28.09 ! [V_c_2] : c_Hoare__Mirabelle_OMGT(V_c_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),V_c_2),c_Natural_Oevalc(V_c_2)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 27.83/28.09 ! [V_a,V_r,V_q,V_c,V_b] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 27.83/28.09 => 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)))) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divmod__nat__rel__unique,axiom,
% 27.83/28.09 ! [V_qr_H,V_qr,V_n,V_m] :
% 27.83/28.09 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 27.83/28.09 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 27.83/28.09 => V_qr = V_qr_H ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_negateSnd__def,axiom,
% 27.83/28.09 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divmod__nat__eq,axiom,
% 27.83/28.09 ! [V_qr,V_n,V_m] :
% 27.83/28.09 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 27.83/28.09 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 27.83/28.09 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_mod__eq,axiom,
% 27.83/28.09 ! [V_r,V_q,V_n,V_m] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_div__eq,axiom,
% 27.83/28.09 ! [V_r,V_q,V_n,V_m] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_negateSnd__eq,axiom,
% 27.83/28.09 ! [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)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divmod__nat__rel,axiom,
% 27.83/28.09 ! [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)))) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 27.83/28.09 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( 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)))
% 27.83/28.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 27.83/28.09 => 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)))) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_pdivmod__def,axiom,
% 27.83/28.09 ! [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))) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_pdivmod__posDivAlg,axiom,
% 27.83/28.09 ! [V_k,V_l] :
% 27.83/28.09 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => 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)) )
% 27.83/28.09 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => 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)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divmod__int__code,axiom,
% 27.83/28.09 ! [V_l_2,V_k_2] :
% 27.83/28.09 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => 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)) )
% 27.83/28.09 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => 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) )
% 27.83/28.09 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => 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)))) ) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 27.83/28.09 ! [V_c,V_r,V_q,V_b,V_a] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 27.83/28.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 27.83/28.09 => 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)))) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_prod__caseI,axiom,
% 27.83/28.09 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2))
% 27.83/28.09 => 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))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_splitI,axiom,
% 27.83/28.09 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2))
% 27.83/28.09 => 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))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_rel__pow__Suc__I2,axiom,
% 27.83/28.09 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] :
% 27.83/28.09 ( 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))
% 27.83/28.09 => ( 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)))
% 27.83/28.09 => 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))) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_rel__pow__Suc__I,axiom,
% 27.83/28.09 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_b] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( 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))
% 27.83/28.09 => 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))) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_rel__pow__0__E,axiom,
% 27.83/28.09 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => V_x_2 = V_y_2 ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_Pair__inject,axiom,
% 27.83/28.09 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 27.83/28.09 ( 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)
% 27.83/28.09 => ~ ( V_a = V_a_H
% 27.83/28.09 => V_b != V_b_H ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_Pair__eq,axiom,
% 27.83/28.09 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 27.83/28.09 ( 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)
% 27.83/28.09 <=> ( V_a_2 = V_a_H_2
% 27.83/28.09 & V_b_2 = V_b_H_2 ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_split__paired__All,axiom,
% 27.83/28.09 ! [T_c,T_b,V_Pa_2] :
% 27.83/28.09 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 27.83/28.09 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_split__weak__cong,axiom,
% 27.83/28.09 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] :
% 27.83/28.09 ( V_p_2 = V_q_2
% 27.83/28.09 => 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) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_rel__pow__1,axiom,
% 27.83/28.09 ! [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 ).
% 27.83/28.09
% 27.83/28.09 fof(fact_split__conv,axiom,
% 27.83/28.09 ! [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) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_prod_Osimps_I2_J,axiom,
% 27.83/28.09 ! [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) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_splitD,axiom,
% 27.83/28.09 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_apsnd__conv,axiom,
% 27.83/28.09 ! [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)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_apsnd__compose,axiom,
% 27.83/28.09 ! [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) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_split__eta,axiom,
% 27.83/28.09 ! [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 ).
% 27.83/28.09
% 27.83/28.09 fof(fact_split__twice,axiom,
% 27.83/28.09 ! [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) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_rel__pow__0__I,axiom,
% 27.83/28.09 ! [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))) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_pair__box_Orecs,axiom,
% 27.83/28.09 ! [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) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_pair__box_Osimps_I2_J,axiom,
% 27.83/28.09 ! [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) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_negDivAlg_Opsimps,axiom,
% 27.83/28.09 ! [V_b_2,V_a_2] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( ( ( 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)))
% 27.83/28.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 27.83/28.09 => 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)) )
% 27.83/28.09 & ( ~ ( 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)))
% 27.83/28.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 27.83/28.09 => 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))) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_zmult2__lemma,axiom,
% 27.83/28.09 ! [V_c,V_r,V_q,V_b,V_a] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 27.83/28.09 => 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)))) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_posDivAlg_Opsimps,axiom,
% 27.83/28.09 ! [V_b_2,V_a_2] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 27.83/28.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 27.83/28.09 => 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) )
% 27.83/28.09 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 27.83/28.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 27.83/28.09 => 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))) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_mem__splitI,axiom,
% 27.83/28.09 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2)))
% 27.83/28.09 => 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)))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_accp__downward,axiom,
% 27.83/28.09 ! [V_a_2,V_b_2,V_r_2,T_b] :
% 27.83/28.09 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2))
% 27.83/28.09 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 27.83/28.09 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_accp_Oequations,axiom,
% 27.83/28.09 ! [V_a_2,V_r_2,T_b] :
% 27.83/28.09 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 27.83/28.09 <=> ! [B_x] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 27.83/28.09 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_accp_Osimps,axiom,
% 27.83/28.09 ! [V_a_2,V_r_2,T_b] :
% 27.83/28.09 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 27.83/28.09 <=> ! [B_x] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 27.83/28.09 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_splitD_H,axiom,
% 27.83/28.09 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] :
% 27.83/28.09 ( 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))
% 27.83/28.09 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_accp__subset,axiom,
% 27.83/28.09 ! [V_R2_2,V_R1_2,T_b] :
% 27.83/28.09 ( 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))
% 27.83/28.09 => 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))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_unique__remainder,axiom,
% 27.83/28.09 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( 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)))
% 27.83/28.09 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => V_r = V_r_H ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_unique__quotient,axiom,
% 27.83/28.09 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( 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)))
% 27.83/28.09 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => V_q = V_q_H ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_self__remainder,axiom,
% 27.83/28.09 ! [V_r,V_q,V_a] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divmod__int__rel__0,axiom,
% 27.83/28.09 ! [V_b] :
% 27.83/28.09 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => 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)))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divmod__int__rel__neg,axiom,
% 27.83/28.09 ! [V_qr,V_b,V_a] :
% 27.83/28.09 ( 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))
% 27.83/28.09 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divmod__int__correct,axiom,
% 27.83/28.09 ! [V_a,V_b] :
% 27.83/28.09 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_self__quotient,axiom,
% 27.83/28.09 ! [V_r,V_q,V_a] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divmod__int__rel__mod,axiom,
% 27.83/28.09 ! [V_r,V_q,V_b,V_a] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divmod__int__rel__div,axiom,
% 27.83/28.09 ! [V_r,V_q,V_b,V_a] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_negDivAlg__correct,axiom,
% 27.83/28.09 ! [V_b,V_a] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 27.83/28.09 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divmod__int__rel__div__mod,axiom,
% 27.83/28.09 ! [V_a,V_b] :
% 27.83/28.09 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => 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)))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_posDivAlg__correct,axiom,
% 27.83/28.09 ! [V_b,V_a] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 27.83/28.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 27.83/28.09 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_zadd1__lemma,axiom,
% 27.83/28.09 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( 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)))
% 27.83/28.09 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => 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)))) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_zminus1__lemma,axiom,
% 27.83/28.09 ! [V_r_2,V_q_2,V_b_2,V_a_2] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => 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))))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divmod__nat__if,axiom,
% 27.83/28.09 ! [V_m_2,V_n_2] :
% 27.83/28.09 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 27.83/28.09 => 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) )
% 27.83/28.09 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 27.83/28.09 => 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)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divmod__int__relI,axiom,
% 27.83/28.09 ! [V_r,V_q,V_b,V_a] :
% 27.83/28.09 ( 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)
% 27.83/28.09 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 27.83/28.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 27.83/28.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 27.83/28.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 27.83/28.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 27.83/28.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 27.83/28.09 => 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))) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_zmult1__lemma,axiom,
% 27.83/28.09 ! [V_a,V_r,V_q,V_c,V_b] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 => 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)))) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_divmod__int__rel__def,axiom,
% 27.83/28.09 ! [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))))))) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_norm__frac_Opsimps,axiom,
% 27.83/28.09 ! [V_b_2,V_a_2] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.09 => 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)) )
% 27.83/28.09 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.09 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 27.83/28.09 => 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)) )
% 27.83/28.09 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 27.83/28.09 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 27.83/28.09 => 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))) ) ) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_negDivAlg_Opinduct,axiom,
% 27.83/28.09 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( ! [B_a,B_b] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( ( ~ ( 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)))
% 27.83/28.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 27.83/28.09 => 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))) )
% 27.83/28.09 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 27.83/28.09 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_posDivAlg_Opinduct,axiom,
% 27.83/28.09 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( ! [B_a,B_b] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 27.83/28.09 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 27.83/28.09 => 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))) )
% 27.83/28.09 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 27.83/28.09 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_mod__pos__neg__1__number__of,axiom,
% 27.83/28.09 ! [V_w] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => 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))))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_in__measure,axiom,
% 27.83/28.09 ! [V_f_2,V_y_2,V_x_2,T_b] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 <=> 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))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_snd__conv,axiom,
% 27.83/28.09 ! [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 ).
% 27.83/28.09
% 27.83/28.09 fof(fact_snd__eqD,axiom,
% 27.83/28.09 ! [V_a,V_y,V_x,T_a,T_b] :
% 27.83/28.09 ( 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
% 27.83/28.09 => V_y = V_a ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_snd__apsnd,axiom,
% 27.83/28.09 ! [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)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_apsnd__eq__conv,axiom,
% 27.83/28.09 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] :
% 27.83/28.09 ( 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)
% 27.83/28.09 <=> 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)) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_snd__def,axiom,
% 27.83/28.09 ! [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) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_measure__snd,axiom,
% 27.83/28.09 ! [T_c,V_f_2,T_b] :
% 27.83/28.09 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 27.83/28.09 => 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))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_mod__int__def,axiom,
% 27.83/28.09 ! [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)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_mod__neg__pos,axiom,
% 27.83/28.09 ! [V_b,V_a] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 27.83/28.09 => 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)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_mod__pos__pos,axiom,
% 27.83/28.09 ! [V_b,V_a] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 27.83/28.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 27.83/28.09 => 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)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_mod__pos__pos__1__number__of,axiom,
% 27.83/28.09 ! [V_w] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => 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))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_mod__pos__neg,axiom,
% 27.83/28.09 ! [V_b,V_a] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 27.83/28.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.09 => 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)))) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_mod__neg__neg,axiom,
% 27.83/28.09 ! [V_b,V_a] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.09 => 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)))) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_nat__gcd_Opsimps,axiom,
% 27.83/28.09 ! [V_y_2,V_x_2] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.09 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 27.83/28.09 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.09 => 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)) ) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_pred__subset__eq2,axiom,
% 27.83/28.09 ! [V_S_2,V_R_2,T_c,T_b] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 <=> 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)) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_norm__frac_Opinduct,axiom,
% 27.83/28.09 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( ! [B_a,B_b] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.09 => 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))) )
% 27.83/28.09 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 27.83/28.09 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_div__pos__neg__1__number__of,axiom,
% 27.83/28.09 ! [V_w] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => 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))))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_bot__empty__eq2,axiom,
% 27.83/28.09 ! [V_y_2,V_x_2,T_c,T_b] :
% 27.83/28.09 ( 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))
% 27.83/28.09 <=> 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)))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_bot2E,axiom,
% 27.83/28.09 ! [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)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_less__by__empty,axiom,
% 27.83/28.09 ! [V_B_2,T_b,V_A_2] :
% 27.83/28.09 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 27.83/28.09 => 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)) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_fst__eqD,axiom,
% 27.83/28.09 ! [V_a,V_y,V_x,T_b,T_a] :
% 27.83/28.09 ( 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
% 27.83/28.09 => V_x = V_a ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_fst__conv,axiom,
% 27.83/28.09 ! [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 ).
% 27.83/28.09
% 27.83/28.09 fof(fact_prod__eqI,axiom,
% 27.83/28.09 ! [V_q,V_p,T_b,T_a] :
% 27.83/28.09 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 27.83/28.09 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 27.83/28.09 => V_p = V_q ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_Pair__fst__snd__eq,axiom,
% 27.83/28.09 ! [T_c,T_b,V_t_2,V_s_2] :
% 27.83/28.09 ( V_s_2 = V_t_2
% 27.83/28.09 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2)
% 27.83/28.09 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_fst__apsnd,axiom,
% 27.83/28.09 ! [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) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_fst__def,axiom,
% 27.83/28.09 ! [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) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_measure__fst,axiom,
% 27.83/28.09 ! [T_c,V_f_2,T_b] :
% 27.83/28.09 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 27.83/28.09 => 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))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_surjective__pairing,axiom,
% 27.83/28.09 ! [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)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_pair__collapse,axiom,
% 27.83/28.09 ! [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 ).
% 27.83/28.09
% 27.83/28.09 fof(fact_split__comp,axiom,
% 27.83/28.09 ! [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)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_prod__case__beta,axiom,
% 27.83/28.09 ! [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)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_div__int__def,axiom,
% 27.83/28.09 ! [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)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_mod__nat__def,axiom,
% 27.83/28.09 ! [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)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_split__comp__eq,axiom,
% 27.83/28.09 ! [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)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_split__beta,axiom,
% 27.83/28.09 ! [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)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_split__def,axiom,
% 27.83/28.09 ! [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)) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_eq__mem,axiom,
% 27.83/28.09 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2)))
% 27.83/28.09 <=> V_x_2 = V_y_2 ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_rev__predicate1D,axiom,
% 27.83/28.09 ! [V_Qa_2,T_b,V_x_2,V_Pa_2] :
% 27.83/28.09 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Qa_2))
% 27.83/28.09 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_predicate1D,axiom,
% 27.83/28.09 ! [V_x_2,V_Qa_2,V_Pa_2,T_b] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Qa_2))
% 27.83/28.09 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.09 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_div__neg__pos,axiom,
% 27.83/28.09 ! [V_b,V_a] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 27.83/28.09 => 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)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_pred__equals__eq,axiom,
% 27.83/28.09 ! [V_S_2,V_R_2,T_b] :
% 27.83/28.09 ( 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)
% 27.83/28.09 <=> V_R_2 = V_S_2 ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_predicate2D,axiom,
% 27.83/28.09 ! [V_y_2,V_x_2,V_Qa_2,V_Pa_2,T_c,T_b] :
% 27.83/28.09 ( 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))
% 27.83/28.09 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 27.83/28.09 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_rev__predicate2D,axiom,
% 27.83/28.09 ! [V_Qa_2,T_c,T_b,V_y_2,V_x_2,V_Pa_2] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 27.83/28.09 => ( 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))
% 27.83/28.09 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_div__pos__pos,axiom,
% 27.83/28.09 ! [V_b,V_a] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 27.83/28.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 27.83/28.09 => 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)) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_div__pos__pos__1__number__of,axiom,
% 27.83/28.09 ! [V_w] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 => 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))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_div__pos__neg,axiom,
% 27.83/28.09 ! [V_b,V_a] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 27.83/28.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.09 => 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)))) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_div__neg__neg,axiom,
% 27.83/28.09 ! [V_b,V_a] :
% 27.83/28.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 27.83/28.09 => 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)))) ) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_bot__empty__eq,axiom,
% 27.83/28.09 ! [V_x_2,T_b] :
% 27.83/28.09 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2))
% 27.83/28.09 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_pred__subset__eq,axiom,
% 27.83/28.09 ! [V_S_2,V_R_2,T_b] :
% 27.83/28.09 ( 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)))
% 27.83/28.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_pred__equals__eq2,axiom,
% 27.83/28.09 ! [V_S_2,V_R_2,T_c,T_b] :
% 27.83/28.09 ( 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)
% 27.83/28.09 <=> V_R_2 = V_S_2 ) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_prod__size__simp,axiom,
% 27.83/28.09 ! [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))) ).
% 27.83/28.09
% 27.83/28.09 fof(fact_exI__realizer,axiom,
% 27.83/28.10 ! [T_b,T_c,V_x_2,V_y_2,V_Pa_2] :
% 27.83/28.10 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2))
% 27.83/28.10 => 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)))) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_conjI__realizer,axiom,
% 27.83/28.10 ! [T_c,T_b,V_q_2,V_Qa_2,V_p_2,V_Pa_2] :
% 27.83/28.10 ( hBOOL(hAPP(V_Pa_2,V_p_2))
% 27.83/28.10 => ( hBOOL(hAPP(V_Qa_2,V_q_2))
% 27.83/28.10 => ( 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))))
% 27.83/28.10 & 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)))) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_nat__gcd_Opinduct,axiom,
% 27.83/28.10 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 27.83/28.10 ( 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)))
% 27.83/28.10 => ( ! [B_x,B_y] :
% 27.83/28.10 ( 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)))
% 27.83/28.10 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.10 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 27.83/28.10 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) )
% 27.83/28.10 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_mlex__leq,axiom,
% 27.83/28.10 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 27.83/28.10 ( 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)))
% 27.83/28.10 => ( 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))
% 27.83/28.10 => 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))) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_div__nat__def,axiom,
% 27.83/28.10 ! [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)) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_divmod__nat__rel__def,axiom,
% 27.83/28.10 ! [V_qr_2,V_n_2,V_m_2] :
% 27.83/28.10 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2))
% 27.83/28.10 <=> ( 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))
% 27.83/28.10 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.10 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 27.83/28.10 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.10 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 27.83/28.10 => ( 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)))
% 27.83/28.10 & 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)) ) )
% 27.83/28.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 27.83/28.10 => ( 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)))
% 27.83/28.10 & 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))) ) ) ) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_mlex__less,axiom,
% 27.83/28.10 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 27.83/28.10 ( 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)))
% 27.83/28.10 => 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))) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_range,axiom,
% 27.83/28.10 ! [V_s,V_k] :
% 27.83/28.10 ( 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))
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__Suc__number__of,axiom,
% 27.83/28.10 ! [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)))) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__number__of__Suc,axiom,
% 27.83/28.10 ! [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)))) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_prod_Orecs,axiom,
% 27.83/28.10 ! [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) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Ass,axiom,
% 27.83/28.10 ! [V_a_2,V_X_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_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_b),c_COMBB(tc_Com_Ostate,tc_HOL_Obool,tc_Com_Ostate)),V_Pa_2)),hAPP(hAPP(c_COMBS(tc_Com_Ostate,tc_Nat_Onat,tc_Com_Ostate),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_Nat_Onat,tc_Com_Ostate)),c_Natural_Oupdate),V_X_2)),V_a_2))),c_Com_Ocom_OAss(V_X_2,V_a_2)),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_evaln__elim__cases_I2_J,axiom,
% 27.83/28.10 ! [V_t_2,V_n_2,V_s_2,V_a_2,V_X_2] :
% 27.83/28.10 ( c_Natural_Oevaln(c_Com_Ocom_OAss(V_X_2,V_a_2),V_s_2,V_n_2,V_t_2)
% 27.83/28.10 => V_t_2 = hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s_2),V_X_2),hAPP(V_a_2,V_s_2)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_evaln_OAssign,axiom,
% 27.83/28.10 ! [V_n_2,V_s_2,V_a_2,V_X_2] : c_Natural_Oevaln(c_Com_Ocom_OAss(V_X_2,V_a_2),V_s_2,V_n_2,hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s_2),V_X_2),hAPP(V_a_2,V_s_2))) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_evalc_OAssign,axiom,
% 27.83/28.10 ! [V_s_2,V_a_2,V_X_2] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(V_X_2,V_a_2)),V_s_2),hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s_2),V_X_2),hAPP(V_a_2,V_s_2)))) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_evalc__elim__cases_I2_J,axiom,
% 27.83/28.10 ! [V_t_2,V_s_2,V_a_2,V_X_2] :
% 27.83/28.10 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(V_X_2,V_a_2)),V_s_2),V_t_2))
% 27.83/28.10 => V_t_2 = hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s_2),V_X_2),hAPP(V_a_2,V_s_2)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__diff,axiom,
% 27.83/28.10 ! [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) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__Suc__Suc,axiom,
% 27.83/28.10 ! [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)) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Oinf__assoc,axiom,
% 27.83/28.10 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Oinf_Oassoc,axiom,
% 27.83/28.10 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Oinf__left__commute,axiom,
% 27.83/28.10 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 27.83/28.10 ! [V_c,V_a,V_b,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Oinf__left__idem,axiom,
% 27.83/28.10 ! [V_y,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 27.83/28.10 ! [V_b,V_a,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Oinf__commute,axiom,
% 27.83/28.10 ! [V_y,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Oinf_Ocommute,axiom,
% 27.83/28.10 ! [V_b,V_a,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Oinf_Oidem,axiom,
% 27.83/28.10 ! [V_a,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Oless__infI1,axiom,
% 27.83/28.10 ! [V_b,V_x,V_a,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 27.83/28.10 => 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)) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Oless__infI2,axiom,
% 27.83/28.10 ! [V_a,V_x,V_b,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 27.83/28.10 => 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)) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__less__iff__conj,axiom,
% 27.83/28.10 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_b)
% 27.83/28.10 => ( 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)))
% 27.83/28.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 27.83/28.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__less__iff__disj,axiom,
% 27.83/28.10 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_b)
% 27.83/28.10 => ( 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))
% 27.83/28.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 27.83/28.10 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__add__distrib__left,axiom,
% 27.83/28.10 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.10 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__0R,axiom,
% 27.83/28.10 ! [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) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__0L,axiom,
% 27.83/28.10 ! [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) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__diff__distrib__left,axiom,
% 27.83/28.10 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.10 ( class_Groups_Oordered__ab__group__add(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Ole__infE,axiom,
% 27.83/28.10 ! [V_b,V_a,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => ( 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)))
% 27.83/28.10 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 27.83/28.10 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Oinf__mono,axiom,
% 27.83/28.10 ! [V_d,V_b,V_c,V_a,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 27.83/28.10 => 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))) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Oinf__greatest,axiom,
% 27.83/28.10 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 27.83/28.10 => 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))) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Ole__infI,axiom,
% 27.83/28.10 ! [V_b,V_a,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 27.83/28.10 => 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))) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Oinf__absorb2,axiom,
% 27.83/28.10 ! [V_x,V_y,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 27.83/28.10 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Oinf__absorb1,axiom,
% 27.83/28.10 ! [V_y,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 27.83/28.10 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Ole__infI2,axiom,
% 27.83/28.10 ! [V_a,V_x,V_b,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 27.83/28.10 => 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)) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Ole__infI1,axiom,
% 27.83/28.10 ! [V_b,V_x,V_a,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 27.83/28.10 => 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)) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Ole__inf__iff,axiom,
% 27.83/28.10 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_b)
% 27.83/28.10 => ( 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)))
% 27.83/28.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 27.83/28.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Ole__iff__inf,axiom,
% 27.83/28.10 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_b)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 27.83/28.10 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Oinf__le2,axiom,
% 27.83/28.10 ! [V_y,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Oinf__le1,axiom,
% 27.83/28.10 ! [V_y,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__le__iff__disj,axiom,
% 27.83/28.10 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_b)
% 27.83/28.10 => ( 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))
% 27.83/28.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 27.83/28.10 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__number__of,axiom,
% 27.83/28.10 ! [V_v,V_u,T_b] :
% 27.83/28.10 ( ( class_Int_Onumber(T_b)
% 27.83/28.10 & class_Orderings_Oord(T_b) )
% 27.83/28.10 => ( ( 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)))
% 27.83/28.10 => 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) )
% 27.83/28.10 & ( ~ 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)))
% 27.83/28.10 => 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) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_evaln_Oequations_I2_J,axiom,
% 27.83/28.10 ! [V_a4_2,V_a3_2,V_a2_2,V_a1_2] : c_Natural_Oevaln(c_Com_Ocom_OAss(V_a1_2,V_a2_2),V_a3_2,V_a4_2,hAPP(hAPP(hAPP(c_Natural_Oupdate,V_a3_2),V_a1_2),hAPP(V_a2_2,V_a3_2))) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_evalc_Oequations_I2_J,axiom,
% 27.83/28.10 ! [V_a3_2,V_a2_2,V_a1_2] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(V_a1_2,V_a2_2)),V_a3_2),hAPP(hAPP(hAPP(c_Natural_Oupdate,V_a3_2),V_a1_2),hAPP(V_a2_2,V_a3_2)))) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__Suc1,axiom,
% 27.83/28.10 ! [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) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__Suc2,axiom,
% 27.83/28.10 ! [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) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_hoare__derivs_Oequations_I8_J,axiom,
% 27.83/28.10 ! [V_a4_2,V_a3_2,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),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_b),c_COMBB(tc_Com_Ostate,tc_HOL_Obool,tc_Com_Ostate)),V_a2_2)),hAPP(hAPP(c_COMBS(tc_Com_Ostate,tc_Nat_Onat,tc_Com_Ostate),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_Nat_Onat,tc_Com_Ostate)),c_Natural_Oupdate),V_a3_2)),V_a4_2))),c_Com_Ocom_OAss(V_a3_2,V_a4_2)),V_a2_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__ord__min,axiom,
% 27.83/28.10 ! [T_b] :
% 27.83/28.10 ( class_Orderings_Oord(T_b)
% 27.83/28.10 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_in__lex__prod,axiom,
% 27.83/28.10 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 27.83/28.10 ( 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)))
% 27.83/28.10 <=> ( 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))
% 27.83/28.10 | ( V_a_2 = V_a_H_2
% 27.83/28.10 & 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)) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_max__Suc__number__of,axiom,
% 27.83/28.10 ! [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)))) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_max__number__of__Suc,axiom,
% 27.83/28.10 ! [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)))) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_apfst__apsnd,axiom,
% 27.83/28.10 ! [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))) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 27.83/28.10 ! [V_x,V_z,V_y,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 27.83/28.10 ! [V_x,V_z,V_y,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 27.83/28.10 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 27.83/28.10 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 27.83/28.10 ! [V_y,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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 ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Osup__inf__absorb,axiom,
% 27.83/28.10 ! [V_y,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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 ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_le__max__iff__disj,axiom,
% 27.83/28.10 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_b)
% 27.83/28.10 => ( 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)))
% 27.83/28.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2))
% 27.83/28.10 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_le__maxI1,axiom,
% 27.83/28.10 ! [V_y,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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))) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_le__maxI2,axiom,
% 27.83/28.10 ! [V_x,V_y,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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))) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Ole__iff__sup,axiom,
% 27.83/28.10 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_b)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 27.83/28.10 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Ole__sup__iff,axiom,
% 27.83/28.10 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_b)
% 27.83/28.10 => ( 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))
% 27.83/28.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 27.83/28.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Ole__supI1,axiom,
% 27.83/28.10 ! [V_b,V_a,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 27.83/28.10 => 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))) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Ole__supI2,axiom,
% 27.83/28.10 ! [V_a,V_b,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 27.83/28.10 => 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))) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Osup__absorb2,axiom,
% 27.83/28.10 ! [V_y,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 27.83/28.10 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Osup__absorb1,axiom,
% 27.83/28.10 ! [V_x,V_y,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 27.83/28.10 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Ole__supI,axiom,
% 27.83/28.10 ! [V_b,V_x,V_a,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 27.83/28.10 => 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)) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Osup__least,axiom,
% 27.83/28.10 ! [V_z,V_x,V_y,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 27.83/28.10 => 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)) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Osup__mono,axiom,
% 27.83/28.10 ! [V_d,V_b,V_c,V_a,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 27.83/28.10 => 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))) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Ole__supE,axiom,
% 27.83/28.10 ! [V_x,V_b,V_a,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => ( 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))
% 27.83/28.10 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 27.83/28.10 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_max__diff__distrib__left,axiom,
% 27.83/28.10 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.10 ( class_Groups_Oordered__ab__group__add(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_max__0L,axiom,
% 27.83/28.10 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 27.83/28.10
% 27.83/28.10 fof(fact_max__0R,axiom,
% 27.83/28.10 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 27.83/28.10
% 27.83/28.10 fof(fact_max__Suc__Suc,axiom,
% 27.83/28.10 ! [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)) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_max__add__distrib__left,axiom,
% 27.83/28.10 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.10 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_max__less__iff__conj,axiom,
% 27.83/28.10 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_b)
% 27.83/28.10 => ( 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))
% 27.83/28.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 27.83/28.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_less__max__iff__disj,axiom,
% 27.83/28.10 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_b)
% 27.83/28.10 => ( 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)))
% 27.83/28.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 27.83/28.10 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Oless__supI2,axiom,
% 27.83/28.10 ! [V_a,V_b,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 27.83/28.10 => 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))) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Oless__supI1,axiom,
% 27.83/28.10 ! [V_b,V_a,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 27.83/28.10 => 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))) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Osup_Oidem,axiom,
% 27.83/28.10 ! [V_a,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Osup_Ocommute,axiom,
% 27.83/28.10 ! [V_b,V_a,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Osup__commute,axiom,
% 27.83/28.10 ! [V_y,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 27.83/28.10 ! [V_b,V_a,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Osup__left__idem,axiom,
% 27.83/28.10 ! [V_y,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 27.83/28.10 ! [V_c,V_a,V_b,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Osup__left__commute,axiom,
% 27.83/28.10 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Osup_Oassoc,axiom,
% 27.83/28.10 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Osup__assoc,axiom,
% 27.83/28.10 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_apfst__conv,axiom,
% 27.83/28.10 ! [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) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_apfst__compose,axiom,
% 27.83/28.10 ! [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) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_fst__apfst,axiom,
% 27.83/28.10 ! [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)) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_apfst__eq__conv,axiom,
% 27.83/28.10 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] :
% 27.83/28.10 ( 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)
% 27.83/28.10 <=> 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_snd__apfst,axiom,
% 27.83/28.10 ! [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) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_max__number__of,axiom,
% 27.83/28.10 ! [V_v,V_u,T_b] :
% 27.83/28.10 ( ( class_Int_Onumber(T_b)
% 27.83/28.10 & class_Orderings_Oord(T_b) )
% 27.83/28.10 => ( ( 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)))
% 27.83/28.10 => 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) )
% 27.83/28.10 & ( ~ 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)))
% 27.83/28.10 => 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) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Odistrib__inf__le,axiom,
% 27.83/28.10 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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)))) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__max_Odistrib__sup__le,axiom,
% 27.83/28.10 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => 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)))) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_minus__max__eq__min,axiom,
% 27.83/28.10 ! [V_y,V_x,T_a] :
% 27.83/28.10 ( class_Groups_Olinordered__ab__group__add(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_minus__min__eq__max,axiom,
% 27.83/28.10 ! [V_y,V_x,T_a] :
% 27.83/28.10 ( class_Groups_Olinordered__ab__group__add(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_nat__minus__add__max,axiom,
% 27.83/28.10 ! [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) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_apsnd__apfst__commute,axiom,
% 27.83/28.10 ! [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)) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_max__Suc2,axiom,
% 27.83/28.10 ! [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) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_max__Suc1,axiom,
% 27.83/28.10 ! [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) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_apsnd__apfst,axiom,
% 27.83/28.10 ! [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))) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_dual__min,axiom,
% 27.83/28.10 ! [T_b] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_b)
% 27.83/28.10 => 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) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_same__fstI,axiom,
% 27.83/28.10 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_Pa_2] :
% 27.83/28.10 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.10 => ( 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)))
% 27.83/28.10 => 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))) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_max__ord__max,axiom,
% 27.83/28.10 ! [T_b] :
% 27.83/28.10 ( class_Orderings_Oord(T_b)
% 27.83/28.10 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_pair__lessI2,axiom,
% 27.83/28.10 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 27.83/28.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))
% 27.83/28.10 => 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)) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_rel__pow__E,axiom,
% 27.83/28.10 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 27.83/28.10 ( 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)))
% 27.83/28.10 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.10 => V_x_2 != V_z_2 )
% 27.83/28.10 => ~ ! [B_y,B_m] :
% 27.83/28.10 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 27.83/28.10 => ( 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)))
% 27.83/28.10 => ~ 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)) ) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Min_Oidem,axiom,
% 27.83/28.10 ! [V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Max_Oidem,axiom,
% 27.83/28.10 ! [V_x,T_a] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_a)
% 27.83/28.10 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_dual__max,axiom,
% 27.83/28.10 ! [T_b] :
% 27.83/28.10 ( class_Orderings_Olinorder(T_b)
% 27.83/28.10 => 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) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_pair__lessI1,axiom,
% 27.83/28.10 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 27.83/28.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_pair__leqI2,axiom,
% 27.83/28.10 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 27.83/28.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2))
% 27.83/28.10 => 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)) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_smax__insertI,axiom,
% 27.83/28.10 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 27.83/28.10 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 27.83/28.10 => ( 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))
% 27.83/28.10 => ( 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))
% 27.83/28.10 => 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)) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_smin__insertI,axiom,
% 27.83/28.10 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 27.83/28.10 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 27.83/28.10 => ( 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))
% 27.83/28.10 => ( 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))
% 27.83/28.10 => 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)) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_pair__leqI1,axiom,
% 27.83/28.10 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 27.83/28.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_intrel__iff,axiom,
% 27.83/28.10 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 27.83/28.10 ( 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))
% 27.83/28.10 <=> 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) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_smin__emptyI,axiom,
% 27.83/28.10 ! [V_X_2] :
% 27.83/28.10 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_wmin__insertI,axiom,
% 27.83/28.10 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 27.83/28.10 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 27.83/28.10 => ( 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))
% 27.83/28.10 => ( 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))
% 27.83/28.10 => 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)) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_wmax__insertI,axiom,
% 27.83/28.10 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 27.83/28.10 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 27.83/28.10 => ( 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))
% 27.83/28.10 => ( 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))
% 27.83/28.10 => 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)) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_wmin__emptyI,axiom,
% 27.83/28.10 ! [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)) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__strict__def,axiom,
% 27.83/28.10 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_less__than__iff,axiom,
% 27.83/28.10 ! [V_y_2,V_x_2] :
% 27.83/28.10 ( 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))
% 27.83/28.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_pair__less__def,axiom,
% 27.83/28.10 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_mlex__prod__def,axiom,
% 27.83/28.10 ! [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))) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__weak__def,axiom,
% 27.83/28.10 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)))) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_max__rpair__set,axiom,
% 27.83/28.10 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)) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_min__rpair__set,axiom,
% 27.83/28.10 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)) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_rel__pow__E2,axiom,
% 27.83/28.10 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 27.83/28.10 ( 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)))
% 27.83/28.10 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.10 => V_x_2 != V_z_2 )
% 27.83/28.10 => ~ ! [B_y,B_m] :
% 27.83/28.10 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 27.83/28.10 => ( 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))
% 27.83/28.10 => ~ 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))) ) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup1E,axiom,
% 27.83/28.10 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 27.83/28.10 ( 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))
% 27.83/28.10 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 27.83/28.10 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup1CI,axiom,
% 27.83/28.10 ! [T_b,V_A_2,V_x_2,V_B_2] :
% 27.83/28.10 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 27.83/28.10 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_UnE,axiom,
% 27.83/28.10 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 27.83/28.10 ( 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)))
% 27.83/28.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 27.83/28.10 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_UnCI,axiom,
% 27.83/28.10 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 27.83/28.10 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 27.83/28.10 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) )
% 27.83/28.10 => 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))) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Un__empty,axiom,
% 27.83/28.10 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.10 ( 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))
% 27.83/28.10 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.10 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Un__empty__right,axiom,
% 27.83/28.10 ! [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 ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Un__empty__left,axiom,
% 27.83/28.10 ! [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 ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup__bot__left,axiom,
% 27.83/28.10 ! [V_x,T_a] :
% 27.83/28.10 ( class_Lattices_Obounded__lattice__bot(T_a)
% 27.83/28.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup__bot__right,axiom,
% 27.83/28.10 ! [V_x,T_a] :
% 27.83/28.10 ( class_Lattices_Obounded__lattice__bot(T_a)
% 27.83/28.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup__eq__bot__iff,axiom,
% 27.83/28.10 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.10 ( class_Lattices_Obounded__lattice__bot(T_b)
% 27.83/28.10 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b)
% 27.83/28.10 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b)
% 27.83/28.10 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup__max,axiom,
% 27.83/28.10 ! [T_b] :
% 27.83/28.10 ( ( class_Lattices_Osemilattice__sup(T_b)
% 27.83/28.10 & class_Orderings_Olinorder(T_b) )
% 27.83/28.10 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Sup__fin_Oidem,axiom,
% 27.83/28.10 ! [V_x,T_a] :
% 27.83/28.10 ( class_Lattices_Olattice(T_a)
% 27.83/28.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Un__Diff,axiom,
% 27.83/28.10 ! [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)) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Un__Diff__cancel2,axiom,
% 27.83/28.10 ! [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) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Un__Diff__cancel,axiom,
% 27.83/28.10 ! [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) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_inf__sup__ord_I3_J,axiom,
% 27.83/28.10 ! [V_y,V_x,T_a] :
% 27.83/28.10 ( class_Lattices_Olattice(T_a)
% 27.83/28.10 => 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))) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup__ge1,axiom,
% 27.83/28.10 ! [V_y,V_x,T_a] :
% 27.83/28.10 ( class_Lattices_Osemilattice__sup(T_a)
% 27.83/28.10 => 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))) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_inf__sup__ord_I4_J,axiom,
% 27.83/28.10 ! [V_x,V_y,T_a] :
% 27.83/28.10 ( class_Lattices_Olattice(T_a)
% 27.83/28.10 => 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))) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup__ge2,axiom,
% 27.83/28.10 ! [V_x,V_y,T_a] :
% 27.83/28.10 ( class_Lattices_Osemilattice__sup(T_a)
% 27.83/28.10 => 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))) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_le__iff__sup,axiom,
% 27.83/28.10 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.10 ( class_Lattices_Osemilattice__sup(T_b)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 27.83/28.10 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_le__sup__iff,axiom,
% 27.83/28.10 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 27.83/28.10 ( class_Lattices_Osemilattice__sup(T_b)
% 27.83/28.10 => ( 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))
% 27.83/28.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 27.83/28.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_le__supI1,axiom,
% 27.83/28.10 ! [V_b,V_a,V_x,T_a] :
% 27.83/28.10 ( class_Lattices_Osemilattice__sup(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 27.83/28.10 => 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))) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_le__supI2,axiom,
% 27.83/28.10 ! [V_a,V_b,V_x,T_a] :
% 27.83/28.10 ( class_Lattices_Osemilattice__sup(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 27.83/28.10 => 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))) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup__absorb2,axiom,
% 27.83/28.10 ! [V_y,V_x,T_a] :
% 27.83/28.10 ( class_Lattices_Osemilattice__sup(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 27.83/28.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup__absorb1,axiom,
% 27.83/28.10 ! [V_x,V_y,T_a] :
% 27.83/28.10 ( class_Lattices_Osemilattice__sup(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 27.83/28.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_le__supI,axiom,
% 27.83/28.10 ! [V_b,V_x,V_a,T_a] :
% 27.83/28.10 ( class_Lattices_Osemilattice__sup(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 27.83/28.10 => 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)) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup__least,axiom,
% 27.83/28.10 ! [V_z,V_x,V_y,T_a] :
% 27.83/28.10 ( class_Lattices_Osemilattice__sup(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 27.83/28.10 => 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)) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup__mono,axiom,
% 27.83/28.10 ! [V_d,V_b,V_c,V_a,T_a] :
% 27.83/28.10 ( class_Lattices_Osemilattice__sup(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 27.83/28.10 => 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))) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_le__supE,axiom,
% 27.83/28.10 ! [V_x,V_b,V_a,T_a] :
% 27.83/28.10 ( class_Lattices_Osemilattice__sup(T_a)
% 27.83/28.10 => ( 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))
% 27.83/28.10 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 27.83/28.10 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup1I1,axiom,
% 27.83/28.10 ! [V_B_2,T_b,V_x_2,V_A_2] :
% 27.83/28.10 ( hBOOL(hAPP(V_A_2,V_x_2))
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup1I2,axiom,
% 27.83/28.10 ! [V_A_2,T_b,V_x_2,V_B_2] :
% 27.83/28.10 ( hBOOL(hAPP(V_B_2,V_x_2))
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Un__mono,axiom,
% 27.83/28.10 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 27.83/28.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 27.83/28.10 => 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))) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Un__least,axiom,
% 27.83/28.10 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 27.83/28.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 27.83/28.10 => 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)) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Un__absorb2,axiom,
% 27.83/28.10 ! [V_A_2,V_B_2,T_b] :
% 27.83/28.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 27.83/28.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Un__absorb1,axiom,
% 27.83/28.10 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_subset__Un__eq,axiom,
% 27.83/28.10 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.10 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Un__upper2,axiom,
% 27.83/28.10 ! [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_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Un__upper1,axiom,
% 27.83/28.10 ! [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))) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_less__supI2,axiom,
% 27.83/28.10 ! [V_a,V_b,V_x,T_a] :
% 27.83/28.10 ( class_Lattices_Osemilattice__sup(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 27.83/28.10 => 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))) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_less__supI1,axiom,
% 27.83/28.10 ! [V_b,V_a,V_x,T_a] :
% 27.83/28.10 ( class_Lattices_Osemilattice__sup(T_a)
% 27.83/28.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 27.83/28.10 => 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))) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Un__absorb,axiom,
% 27.83/28.10 ! [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 ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Un__commute,axiom,
% 27.83/28.10 ! [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) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Un__left__absorb,axiom,
% 27.83/28.10 ! [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) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Un__left__commute,axiom,
% 27.83/28.10 ! [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)),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)) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Un__assoc,axiom,
% 27.83/28.10 ! [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_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)) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_bex__Un,axiom,
% 27.83/28.10 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 27.83/28.10 ( ? [B_x] :
% 27.83/28.10 ( 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)))
% 27.83/28.10 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 27.83/28.10 <=> ( ? [B_x] :
% 27.83/28.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.10 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 27.83/28.10 | ? [B_x] :
% 27.83/28.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 27.83/28.10 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_ball__Un,axiom,
% 27.83/28.10 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 27.83/28.10 ( ! [B_x] :
% 27.83/28.10 ( 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)))
% 27.83/28.10 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 27.83/28.10 <=> ( ! [B_x] :
% 27.83/28.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.10 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 27.83/28.10 & ! [B_x] :
% 27.83/28.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 27.83/28.10 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup_Oidem,axiom,
% 27.83/28.10 ! [V_a,T_a] :
% 27.83/28.10 ( class_Lattices_Osemilattice__sup(T_a)
% 27.83/28.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup__idem,axiom,
% 27.83/28.10 ! [V_x,T_a] :
% 27.83/28.10 ( class_Lattices_Osemilattice__sup(T_a)
% 27.83/28.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup_Ocommute,axiom,
% 27.83/28.10 ! [V_b,V_a,T_a] :
% 27.83/28.10 ( class_Lattices_Osemilattice__sup(T_a)
% 27.83/28.10 => 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) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_inf__sup__aci_I5_J,axiom,
% 27.83/28.10 ! [V_y,V_x,T_a] :
% 27.83/28.10 ( class_Lattices_Olattice(T_a)
% 27.83/28.10 => 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) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup__commute,axiom,
% 27.83/28.10 ! [V_y,V_x,T_a] :
% 27.83/28.10 ( class_Lattices_Osemilattice__sup(T_a)
% 27.83/28.10 => 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) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup_Oleft__idem,axiom,
% 27.83/28.10 ! [V_b,V_a,T_a] :
% 27.83/28.10 ( class_Lattices_Osemilattice__sup(T_a)
% 27.83/28.10 => 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) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_inf__sup__aci_I8_J,axiom,
% 27.83/28.10 ! [V_y,V_x,T_a] :
% 27.83/28.10 ( class_Lattices_Olattice(T_a)
% 27.83/28.10 => 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) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup__left__idem,axiom,
% 27.83/28.10 ! [V_y,V_x,T_a] :
% 27.83/28.10 ( class_Lattices_Osemilattice__sup(T_a)
% 27.83/28.10 => 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) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup_Oleft__commute,axiom,
% 27.83/28.10 ! [V_c,V_a,V_b,T_a] :
% 27.83/28.10 ( class_Lattices_Osemilattice__sup(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_inf__sup__aci_I7_J,axiom,
% 27.83/28.10 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.10 ( class_Lattices_Olattice(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup__left__commute,axiom,
% 27.83/28.10 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.10 ( class_Lattices_Osemilattice__sup(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup_Oassoc,axiom,
% 27.83/28.10 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.10 ( class_Lattices_Osemilattice__sup(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_inf__sup__aci_I6_J,axiom,
% 27.83/28.10 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.10 ( class_Lattices_Olattice(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup__assoc,axiom,
% 27.83/28.10 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.10 ( class_Lattices_Osemilattice__sup(T_a)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup__apply,axiom,
% 27.83/28.10 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 27.83/28.10 ( class_Lattices_Olattice(T_b)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup__fun__def,axiom,
% 27.83/28.10 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 27.83/28.10 ( class_Lattices_Olattice(T_b)
% 27.83/28.10 => 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Un__insert__right,axiom,
% 27.83/28.10 ! [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)) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Un__insert__left,axiom,
% 27.83/28.10 ! [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)) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Un__iff,axiom,
% 27.83/28.10 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 27.83/28.10 ( 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)))
% 27.83/28.10 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 27.83/28.10 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_UnI1,axiom,
% 27.83/28.10 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 27.83/28.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 27.83/28.10 => 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))) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_UnI2,axiom,
% 27.83/28.10 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 27.83/28.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 27.83/28.10 => 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))) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup__Un__eq,axiom,
% 27.83/28.10 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 27.83/28.10 ( 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))
% 27.83/28.10 <=> 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))) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_insert__is__Un,axiom,
% 27.83/28.10 ! [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) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Diff__subset__conv,axiom,
% 27.83/28.10 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 27.83/28.10 ( 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)),V_C_2))
% 27.83/28.10 <=> 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))) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Diff__partition,axiom,
% 27.83/28.10 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.10 => 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 ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Compl__Diff__eq,axiom,
% 27.83/28.10 ! [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) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_max__weak__def,axiom,
% 27.83/28.10 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)))) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_rp__inv__image__def,axiom,
% 27.83/28.10 ! [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))) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_in__inv__image,axiom,
% 27.83/28.10 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] :
% 27.83/28.10 ( 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)))
% 27.83/28.10 <=> 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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_rp__inv__image__rp,axiom,
% 27.83/28.10 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 27.83/28.10 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 27.83/28.10 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_Pa_2),V_f_2)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_escape,axiom,
% 27.83/28.10 ! [V_Qa_2,V_c_2,V_Ga_2,T_b,V_Pa_2] :
% 27.83/28.10 ( ! [B_Z,B_s] :
% 27.83/28.10 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 27.83/28.10 => 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)))) )
% 27.83/28.10 => 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)))) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup__nat__def,axiom,
% 27.83/28.10 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_sup__Un__eq2,axiom,
% 27.83/28.10 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 27.83/28.10 ( 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))
% 27.83/28.10 <=> 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))) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_max__strict__def,axiom,
% 27.83/28.10 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_measure__def,axiom,
% 27.83/28.10 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_max__ext__additive,axiom,
% 27.83/28.10 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] :
% 27.83/28.10 ( 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)))
% 27.83/28.10 => ( 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)))
% 27.83/28.10 => 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))) ) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_max__extp__max__ext__eq,axiom,
% 27.83/28.10 ! [V_xa_2,V_x_2,V_R_2,T_b] :
% 27.83/28.10 ( 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)
% 27.83/28.10 <=> 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))) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_irrefl__def,axiom,
% 27.83/28.10 ! [V_r_2,T_b] :
% 27.83/28.10 ( c_Relation_Oirrefl(T_b,V_r_2)
% 27.83/28.10 <=> ! [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)) ) ).
% 27.83/28.10
% 27.83/28.10 fof(fact_Body1,axiom,
% 27.83/28.10 ! [V_pna_2,V_Procs_2,V_Qa_2,V_Pa_2,V_Ga_2,T_b] :
% 27.83/28.10 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_Ga_2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_Pa_2)),c_Com_Ocom_OBODY)),V_Qa_2)),V_Procs_2)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_Pa_2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),V_Qa_2)),V_Procs_2))
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),V_pna_2),V_Procs_2))
% 27.83/28.11 => 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(V_Pa_2,V_pna_2)),hAPP(c_Com_Ocom_OBODY,V_pna_2)),hAPP(V_Qa_2,V_pna_2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Field__insert,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_equiv__intrel__iff,axiom,
% 27.83/28.11 ! [V_y_2,V_x_2] :
% 27.83/28.11 ( 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))))
% 27.83/28.11 <=> 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_sup2E,axiom,
% 27.83/28.11 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 27.83/28.11 ( 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))
% 27.83/28.11 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 27.83/28.11 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_sup2CI,axiom,
% 27.83/28.11 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] :
% 27.83/28.11 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 27.83/28.11 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_image__eqI,axiom,
% 27.83/28.11 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] :
% 27.83/28.11 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 27.83/28.11 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Image__empty,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_sup2I1,axiom,
% 27.83/28.11 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_sup2I2,axiom,
% 27.83/28.11 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_image__Un,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Image__Un,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_image__mono,axiom,
% 27.83/28.11 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.11 => 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))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_subset__image__iff,axiom,
% 27.83/28.11 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 27.83/28.11 ( 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)))
% 27.83/28.11 <=> ? [B_AA] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2))
% 27.83/28.11 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_image__image,axiom,
% 27.83/28.11 ! [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) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_image__ident,axiom,
% 27.83/28.11 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 27.83/28.11
% 27.83/28.11 fof(fact_image__compose,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_rev__image__eqI,axiom,
% 27.83/28.11 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.11 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 27.83/28.11 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_imageI,axiom,
% 27.83/28.11 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.11 => 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))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_image__iff,axiom,
% 27.83/28.11 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 27.83/28.11 <=> ? [B_x] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 27.83/28.11 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_image__insert,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_empty__is__image,axiom,
% 27.83/28.11 ! [V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.11 ( 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)
% 27.83/28.11 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_image__empty,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_image__is__empty,axiom,
% 27.83/28.11 ! [V_A_2,V_f_2,T_b,T_c] :
% 27.83/28.11 ( 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))
% 27.83/28.11 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_insert__image,axiom,
% 27.83/28.11 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.11 => 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) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_image__diff__subset,axiom,
% 27.83/28.11 ! [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)))) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_image__constant__conv,axiom,
% 27.83/28.11 ! [V_c_2,T_c,T_b,V_A_2] :
% 27.83/28.11 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.11 => 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)) )
% 27.83/28.11 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.11 => 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))) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Image__mono,axiom,
% 27.83/28.11 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] :
% 27.83/28.11 ( 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))
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 27.83/28.11 => 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))) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Un__Image,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Image__iff,axiom,
% 27.83/28.11 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 27.83/28.11 <=> ? [B_x] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 27.83/28.11 & 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)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_rev__ImageI,axiom,
% 27.83/28.11 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.11 => ( 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))
% 27.83/28.11 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_image__constant,axiom,
% 27.83/28.11 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.11 => 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))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Field__empty,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_mono__Field,axiom,
% 27.83/28.11 ! [V_s_2,V_r_2,T_b] :
% 27.83/28.11 ( 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))
% 27.83/28.11 => 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))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Field__Un,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Image__singleton__iff,axiom,
% 27.83/28.11 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] :
% 27.83/28.11 ( 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))))))
% 27.83/28.11 <=> 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_hoare__derivs_OBody,axiom,
% 27.83/28.11 ! [V_Procs_2,V_Qa_2,V_Pa_2,V_Ga_2,T_b] :
% 27.83/28.11 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_Ga_2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_Pa_2)),c_Com_Ocom_OBODY)),V_Qa_2)),V_Procs_2)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_Pa_2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),V_Qa_2)),V_Procs_2))
% 27.83/28.11 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_Pa_2)),c_Com_Ocom_OBODY)),V_Qa_2)),V_Procs_2)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_of__int,axiom,
% 27.83/28.11 ! [V_j_2,V_i_2,T_b] :
% 27.83/28.11 ( class_Rings_Oring__1(T_b)
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_One__int__def,axiom,
% 27.83/28.11 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))))) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_mult,axiom,
% 27.83/28.11 ! [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))))) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_le,axiom,
% 27.83/28.11 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 27.83/28.11 ( 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)))))))
% 27.83/28.11 <=> 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))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_less,axiom,
% 27.83/28.11 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 27.83/28.11 ( 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)))))))
% 27.83/28.11 <=> 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))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_pair__imageI,axiom,
% 27.83/28.11 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 27.83/28.11 ( 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))
% 27.83/28.11 => 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))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 27.83/28.11 ! [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))) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.11 <=> 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))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 27.83/28.11 ! [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 ).
% 27.83/28.11
% 27.83/28.11 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2] :
% 27.83/28.11 ( V_A_2 = V_B_2
% 27.83/28.11 <=> 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) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.11 <=> 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))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 27.83/28.11 ! [V_A_2,V_x_2] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 27.83/28.11 <=> 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))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 27.83/28.11 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))) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 27.83/28.11 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))) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_minus,axiom,
% 27.83/28.11 ! [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))))) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Zero__int__def,axiom,
% 27.83/28.11 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))))) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_int__def,axiom,
% 27.83/28.11 ! [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))))) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_add,axiom,
% 27.83/28.11 ! [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))))) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_nat,axiom,
% 27.83/28.11 ! [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) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_eq__Abs__Integ,axiom,
% 27.83/28.11 ! [V_z_2] :
% 27.83/28.11 ~ ! [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))))) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_fun__upd__image,axiom,
% 27.83/28.11 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 27.83/28.11 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.11 => 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)))))) )
% 27.83/28.11 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.11 => 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) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_ImageE,axiom,
% 27.83/28.11 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 27.83/28.11 => ~ ! [B_x] :
% 27.83/28.11 ( 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))
% 27.83/28.11 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_reflcl__set__eq,axiom,
% 27.83/28.11 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 27.83/28.11 ( 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))
% 27.83/28.11 <=> 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)))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_fun__upd__triv,axiom,
% 27.83/28.11 ! [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 ).
% 27.83/28.11
% 27.83/28.11 fof(fact_IdI,axiom,
% 27.83/28.11 ! [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))) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_fun__upd__idem__iff,axiom,
% 27.83/28.11 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 27.83/28.11 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2
% 27.83/28.11 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_fun__upd__upd,axiom,
% 27.83/28.11 ! [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) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_fun__upd__same,axiom,
% 27.83/28.11 ! [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 ).
% 27.83/28.11
% 27.83/28.11 fof(fact_fun__upd__apply,axiom,
% 27.83/28.11 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 27.83/28.11 ( ( V_z_2 = V_x_2
% 27.83/28.11 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
% 27.83/28.11 & ( V_z_2 != V_x_2
% 27.83/28.11 => 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) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_fun__upd__twist,axiom,
% 27.83/28.11 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] :
% 27.83/28.11 ( V_a_2 != V_c_2
% 27.83/28.11 => 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) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_fun__upd__other,axiom,
% 27.83/28.11 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 27.83/28.11 ( V_z_2 != V_x_2
% 27.83/28.11 => 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) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_fun__upd__idem,axiom,
% 27.83/28.11 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] :
% 27.83/28.11 ( hAPP(V_f_2,V_x_2) = V_y_2
% 27.83/28.11 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_fun__upd__def,axiom,
% 27.83/28.11 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] :
% 27.83/28.11 ( ( V_x_2 = V_a_2
% 27.83/28.11 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 )
% 27.83/28.11 & ( V_x_2 != V_a_2
% 27.83/28.11 => 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) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_fun__upd__comp,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Image__Id,axiom,
% 27.83/28.11 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ).
% 27.83/28.11
% 27.83/28.11 fof(fact_pair__in__Id__conv,axiom,
% 27.83/28.11 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.11 ( 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)))
% 27.83/28.11 <=> V_a_2 = V_b_2 ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_irrefl__diff__Id,axiom,
% 27.83/28.11 ! [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))) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_relpow_Osimps_I1_J,axiom,
% 27.83/28.11 ! [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) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_pair__leq__def,axiom,
% 27.83/28.11 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))) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2] :
% 27.83/28.11 ( c_Nat__Transfer_Onat__set(V_A_2)
% 27.83/28.11 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 27.83/28.11 => 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))) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2] :
% 27.83/28.11 ( c_Nat__Transfer_Onat__set(V_A_2)
% 27.83/28.11 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.11 <=> 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))) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2] :
% 27.83/28.11 ( c_Nat__Transfer_Onat__set(V_A_2)
% 27.83/28.11 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.11 <=> 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))) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 27.83/28.11 ! [V_A_2,V_x_2] :
% 27.83/28.11 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 27.83/28.11 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 27.83/28.11 <=> 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))) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 27.83/28.11 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2] :
% 27.83/28.11 ( c_Nat__Transfer_Onat__set(V_A_2)
% 27.83/28.11 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 27.83/28.11 => 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)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_nat__set__def,axiom,
% 27.83/28.11 ! [V_S_2] :
% 27.83/28.11 ( c_Nat__Transfer_Onat__set(V_S_2)
% 27.83/28.11 <=> ! [B_x] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 27.83/28.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2] :
% 27.83/28.11 ( c_Nat__Transfer_Onat__set(V_A_2)
% 27.83/28.11 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 27.83/28.11 => ( V_A_2 = V_B_2
% 27.83/28.11 <=> 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) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 27.83/28.11 ! [V_x_2,V_A_2] :
% 27.83/28.11 ( c_Nat__Transfer_Onat__set(V_A_2)
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 27.83/28.11 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 27.83/28.11 ! [V_x_2,V_A_2] :
% 27.83/28.11 ( c_Nat__Transfer_Onat__set(V_A_2)
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 27.83/28.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 27.83/28.11 ! [V_A_2] :
% 27.83/28.11 ( c_Nat__Transfer_Onat__set(V_A_2)
% 27.83/28.11 => 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 ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_total__on__diff__Id,axiom,
% 27.83/28.11 ! [V_r_2,V_A_2,T_b] :
% 27.83/28.11 ( 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)))
% 27.83/28.11 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_subset__equiv__class,axiom,
% 27.83/28.11 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] :
% 27.83/28.11 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 27.83/28.11 => ( 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))))))
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 27.83/28.11 => 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)) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_accp__acc__eq,axiom,
% 27.83/28.11 ! [V_x_2,V_r_2,T_b] :
% 27.83/28.11 ( 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))
% 27.83/28.11 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_wmax__emptyI,axiom,
% 27.83/28.11 ! [V_X_2] :
% 27.83/28.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_finite__Field,axiom,
% 27.83/28.11 ! [V_r_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 27.83/28.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_total__on__empty,axiom,
% 27.83/28.11 ! [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) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_acc__subset,axiom,
% 27.83/28.11 ! [V_R2_2,V_R1_2,T_b] :
% 27.83/28.11 ( 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))
% 27.83/28.11 => 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))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_equiv__class__self,axiom,
% 27.83/28.11 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 27.83/28.11 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.11 => 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)))))) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_acc__downward,axiom,
% 27.83/28.11 ! [V_a_2,V_r_2,V_b_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 27.83/28.11 => ( 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))
% 27.83/28.11 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_acc_Osimps,axiom,
% 27.83/28.11 ! [V_r_2,V_a_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 27.83/28.11 <=> ! [B_x] :
% 27.83/28.11 ( 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))
% 27.83/28.11 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_equiv__class__eq,axiom,
% 27.83/28.11 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 27.83/28.11 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 27.83/28.11 => ( 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))
% 27.83/28.11 => 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)))) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_total__on__def,axiom,
% 27.83/28.11 ! [V_r_2,V_A_2,T_b] :
% 27.83/28.11 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2)
% 27.83/28.11 <=> ! [B_x] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.11 => ! [B_xa] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 27.83/28.11 => ( B_x != B_xa
% 27.83/28.11 => ( 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))
% 27.83/28.11 | 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)) ) ) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_equiv__class__eq__iff,axiom,
% 27.83/28.11 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 27.83/28.11 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 27.83/28.11 => ( 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))
% 27.83/28.11 <=> ( 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))))
% 27.83/28.11 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.11 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_eq__equiv__class__iff,axiom,
% 27.83/28.11 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 27.83/28.11 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 27.83/28.11 => ( 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))))
% 27.83/28.11 <=> 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)) ) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_eq__equiv__class,axiom,
% 27.83/28.11 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] :
% 27.83/28.11 ( 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))))
% 27.83/28.11 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 27.83/28.11 => 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)) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_equiv__class__subset,axiom,
% 27.83/28.11 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 27.83/28.11 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 27.83/28.11 => ( 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))
% 27.83/28.11 => 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)))))) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_smax__emptyI,axiom,
% 27.83/28.11 ! [V_Y_2] :
% 27.83/28.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 27.83/28.11 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 27.83/28.11 => 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)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_finite__Diff,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.11 => 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))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_finite__imageI,axiom,
% 27.83/28.11 ! [V_h_2,T_c,V_F_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 27.83/28.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_finite_OinsertI,axiom,
% 27.83/28.11 ! [V_a_2,V_A_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_finite_OemptyI,axiom,
% 27.83/28.11 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 27.83/28.11 ! [V_A_2] :
% 27.83/28.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 27.83/28.11 <=> 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))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 27.83/28.11 ! [V_A_2] :
% 27.83/28.11 ( c_Nat__Transfer_Onat__set(V_A_2)
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 27.83/28.11 <=> 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))) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_finite,axiom,
% 27.83/28.11 ! [V_A_2,T_b] :
% 27.83/28.11 ( class_Finite__Set_Ofinite(T_b)
% 27.83/28.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_finite__code,axiom,
% 27.83/28.11 ! [V_A_2,T_b] :
% 27.83/28.11 ( class_Finite__Set_Ofinite(T_b)
% 27.83/28.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_finite_Oequations_I1_J,axiom,
% 27.83/28.11 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_finite__insert,axiom,
% 27.83/28.11 ! [V_A_2,V_a_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)))
% 27.83/28.11 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_finite__subset,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_rev__finite__subset,axiom,
% 27.83/28.11 ! [V_A_2,V_B_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_finite__UnI,axiom,
% 27.83/28.11 ! [V_Ga_2,V_F_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2))
% 27.83/28.11 => 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))) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_finite__Un,axiom,
% 27.83/28.11 ! [V_Ga_2,V_F_2,T_b] :
% 27.83/28.11 ( 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)))
% 27.83/28.11 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 27.83/28.11 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_finite__Diff2,axiom,
% 27.83/28.11 ! [V_A_2,V_B_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.11 => ( 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)))
% 27.83/28.11 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_finite__surj,axiom,
% 27.83/28.11 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.11 => ( 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)))
% 27.83/28.11 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_finite__Diff__insert,axiom,
% 27.83/28.11 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 27.83/28.11 ( 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))))
% 27.83/28.11 <=> 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))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_in__finite__psubset,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.11 ( 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)))
% 27.83/28.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.11 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_folding_Oremove,axiom,
% 27.83/28.11 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 27.83/28.11 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.11 => 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)) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_folding__one_Oremove,axiom,
% 27.83/28.11 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 27.83/28.11 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.11 => ( ( 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))
% 27.83/28.11 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 27.83/28.11 & ( 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))
% 27.83/28.11 => 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)))))) ) ) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_folding__image__simple_Oremove,axiom,
% 27.83/28.11 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.11 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 27.83/28.11 => 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)))))) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 27.83/28.11 ! [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] :
% 27.83/28.11 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2)
% 27.83/28.11 => 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) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_folding_Ocommute__comp,axiom,
% 27.83/28.11 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] :
% 27.83/28.11 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_folding_Ocommute__left__comp,axiom,
% 27.83/28.11 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 27.83/28.11 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_folding__image__simple_Oempty,axiom,
% 27.83/28.11 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.11 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 27.83/28.11 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 27.83/28.11 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 27.83/28.11 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.11 => 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)) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 27.83/28.11 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.11 => 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)) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 27.83/28.11 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 27.83/28.11 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.11 => 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)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_folding_Ocommute__comp_H,axiom,
% 27.83/28.11 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 27.83/28.11 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.11 => 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)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_folding__one_Osingleton,axiom,
% 27.83/28.11 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 27.83/28.11 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 27.83/28.11 => 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 ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_folding__image__simple_Oinsert,axiom,
% 27.83/28.11 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.11 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 27.83/28.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 27.83/28.11 => 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)) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_folding_Oinsert,axiom,
% 27.83/28.11 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 27.83/28.11 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.11 => 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)) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_folding__one_Oinsert,axiom,
% 27.83/28.11 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 27.83/28.11 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.11 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.11 => 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)) ) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_folding__one_Oinsert__remove,axiom,
% 27.83/28.11 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 27.83/28.11 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.11 => ( ( 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))
% 27.83/28.11 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 27.83/28.11 & ( 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))
% 27.83/28.11 => 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,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 27.83/28.11 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.11 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 27.83/28.11 => 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)))))) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_folding_Oinsert__remove,axiom,
% 27.83/28.11 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 27.83/28.11 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.11 => 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)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 27.83/28.11 ! [V_N_2] :
% 27.83/28.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 27.83/28.11 <=> ? [B_m] :
% 27.83/28.11 ! [B_x] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 27.83/28.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_finite__nat__set__iff__bounded,axiom,
% 27.83/28.11 ! [V_N_2] :
% 27.83/28.11 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 27.83/28.11 <=> ? [B_m] :
% 27.83/28.11 ! [B_x] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 27.83/28.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_eq__equiv__class__iff2,axiom,
% 27.83/28.11 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 27.83/28.11 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 27.83/28.11 => ( 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)
% 27.83/28.11 <=> 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)) ) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_equiv__class__nondisjoint,axiom,
% 27.83/28.11 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] :
% 27.83/28.11 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 27.83/28.11 => ( 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)))))))
% 27.83/28.11 => 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)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf1E,axiom,
% 27.83/28.11 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 27.83/28.11 ( 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))
% 27.83/28.11 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 27.83/28.11 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf1I,axiom,
% 27.83/28.11 ! [T_b,V_B_2,V_x_2,V_A_2] :
% 27.83/28.11 ( hBOOL(hAPP(V_A_2,V_x_2))
% 27.83/28.11 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 27.83/28.11 => 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)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_IntI,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 27.83/28.11 => 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))) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_IntE,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 27.83/28.11 ( 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)))
% 27.83/28.11 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 27.83/28.11 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_finite__Int,axiom,
% 27.83/28.11 ! [V_Ga_2,V_F_2,T_b] :
% 27.83/28.11 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 27.83/28.11 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) )
% 27.83/28.11 => 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))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_quotient__disj,axiom,
% 27.83/28.11 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 27.83/28.11 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 27.83/28.11 => ( 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)))
% 27.83/28.11 => ( 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)))
% 27.83/28.11 => ( V_X_2 = V_Y_2
% 27.83/28.11 | 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)) ) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__sup__ord_I1_J,axiom,
% 27.83/28.11 ! [V_y,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Olattice(T_a)
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__le1,axiom,
% 27.83/28.11 ! [V_y,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Osemilattice__inf(T_a)
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__sup__ord_I2_J,axiom,
% 27.83/28.11 ! [V_y,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Olattice(T_a)
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__le2,axiom,
% 27.83/28.11 ! [V_y,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Osemilattice__inf(T_a)
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_le__iff__inf,axiom,
% 27.83/28.11 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.11 ( class_Lattices_Osemilattice__inf(T_b)
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 27.83/28.11 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_le__inf__iff,axiom,
% 27.83/28.11 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 27.83/28.11 ( class_Lattices_Osemilattice__inf(T_b)
% 27.83/28.11 => ( 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)))
% 27.83/28.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 27.83/28.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_le__infI1,axiom,
% 27.83/28.11 ! [V_b,V_x,V_a,T_a] :
% 27.83/28.11 ( class_Lattices_Osemilattice__inf(T_a)
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 27.83/28.11 => 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)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_le__infI2,axiom,
% 27.83/28.11 ! [V_a,V_x,V_b,T_a] :
% 27.83/28.11 ( class_Lattices_Osemilattice__inf(T_a)
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 27.83/28.11 => 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)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__absorb1,axiom,
% 27.83/28.11 ! [V_y,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Osemilattice__inf(T_a)
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 27.83/28.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__absorb2,axiom,
% 27.83/28.11 ! [V_x,V_y,T_a] :
% 27.83/28.11 ( class_Lattices_Osemilattice__inf(T_a)
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 27.83/28.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_le__infI,axiom,
% 27.83/28.11 ! [V_b,V_a,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Osemilattice__inf(T_a)
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 27.83/28.11 => 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))) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__greatest,axiom,
% 27.83/28.11 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Osemilattice__inf(T_a)
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 27.83/28.11 => 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))) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__mono,axiom,
% 27.83/28.11 ! [V_d,V_b,V_c,V_a,T_a] :
% 27.83/28.11 ( class_Lattices_Osemilattice__inf(T_a)
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 27.83/28.11 => 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))) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_le__infE,axiom,
% 27.83/28.11 ! [V_b,V_a,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Osemilattice__inf(T_a)
% 27.83/28.11 => ( 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)))
% 27.83/28.11 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 27.83/28.11 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_less__infI2,axiom,
% 27.83/28.11 ! [V_a,V_x,V_b,T_a] :
% 27.83/28.11 ( class_Lattices_Osemilattice__inf(T_a)
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 27.83/28.11 => 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)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_less__infI1,axiom,
% 27.83/28.11 ! [V_b,V_x,V_a,T_a] :
% 27.83/28.11 ( class_Lattices_Osemilattice__inf(T_a)
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 27.83/28.11 => 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)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Int__mono,axiom,
% 27.83/28.11 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 27.83/28.11 => 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))) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Int__greatest,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2,V_C_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2))
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2))
% 27.83/28.11 => 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))) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Int__absorb1,axiom,
% 27.83/28.11 ! [V_A_2,V_B_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 27.83/28.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Int__absorb2,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Int__lower2,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Int__lower1,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Int__empty__left,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Int__empty__right,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_disjoint__iff__not__equal,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.11 ( 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))
% 27.83/28.11 <=> ! [B_x] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.11 => ! [B_xa] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2))
% 27.83/28.11 => B_x != B_xa ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__bot__right,axiom,
% 27.83/28.11 ! [V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Obounded__lattice__bot(T_a)
% 27.83/28.11 => 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) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__bot__left,axiom,
% 27.83/28.11 ! [V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Obounded__lattice__bot(T_a)
% 27.83/28.11 => 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) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_IntD2,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 27.83/28.11 ( 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)))
% 27.83/28.11 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_IntD1,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 27.83/28.11 ( 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)))
% 27.83/28.11 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Int__iff,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 27.83/28.11 ( 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)))
% 27.83/28.11 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 27.83/28.11 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_insert__inter__insert,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__min,axiom,
% 27.83/28.11 ! [T_b] :
% 27.83/28.11 ( ( class_Lattices_Osemilattice__inf(T_b)
% 27.83/28.11 & class_Orderings_Olinorder(T_b) )
% 27.83/28.11 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__fun__def,axiom,
% 27.83/28.11 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 27.83/28.11 ( class_Lattices_Olattice(T_b)
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__apply,axiom,
% 27.83/28.11 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 27.83/28.11 ( class_Lattices_Olattice(T_b)
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__assoc,axiom,
% 27.83/28.11 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Osemilattice__inf(T_a)
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__sup__aci_I2_J,axiom,
% 27.83/28.11 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Olattice(T_a)
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf_Oassoc,axiom,
% 27.83/28.11 ! [V_c,V_b,V_a,T_a] :
% 27.83/28.11 ( class_Lattices_Osemilattice__inf(T_a)
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__left__commute,axiom,
% 27.83/28.11 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Osemilattice__inf(T_a)
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__sup__aci_I3_J,axiom,
% 27.83/28.11 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Olattice(T_a)
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf_Oleft__commute,axiom,
% 27.83/28.11 ! [V_c,V_a,V_b,T_a] :
% 27.83/28.11 ( class_Lattices_Osemilattice__inf(T_a)
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__left__idem,axiom,
% 27.83/28.11 ! [V_y,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Osemilattice__inf(T_a)
% 27.83/28.11 => 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) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__sup__aci_I4_J,axiom,
% 27.83/28.11 ! [V_y,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Olattice(T_a)
% 27.83/28.11 => 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) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf_Oleft__idem,axiom,
% 27.83/28.11 ! [V_b,V_a,T_a] :
% 27.83/28.11 ( class_Lattices_Osemilattice__inf(T_a)
% 27.83/28.11 => 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) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__commute,axiom,
% 27.83/28.11 ! [V_y,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Osemilattice__inf(T_a)
% 27.83/28.11 => 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) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__sup__aci_I1_J,axiom,
% 27.83/28.11 ! [V_y,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Olattice(T_a)
% 27.83/28.11 => 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) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf_Ocommute,axiom,
% 27.83/28.11 ! [V_b,V_a,T_a] :
% 27.83/28.11 ( class_Lattices_Osemilattice__inf(T_a)
% 27.83/28.11 => 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) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__idem,axiom,
% 27.83/28.11 ! [V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Osemilattice__inf(T_a)
% 27.83/28.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf_Oidem,axiom,
% 27.83/28.11 ! [V_a,T_a] :
% 27.83/28.11 ( class_Lattices_Osemilattice__inf(T_a)
% 27.83/28.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Int__assoc,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Int__left__commute,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Int__left__absorb,axiom,
% 27.83/28.11 ! [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) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Int__commute,axiom,
% 27.83/28.11 ! [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) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Int__absorb,axiom,
% 27.83/28.11 ! [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 ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf1D2,axiom,
% 27.83/28.11 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 27.83/28.11 ( 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))
% 27.83/28.11 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf1D1,axiom,
% 27.83/28.11 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 27.83/28.11 ( 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))
% 27.83/28.11 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Inf__fin_Oidem,axiom,
% 27.83/28.11 ! [V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Olattice(T_a)
% 27.83/28.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2] :
% 27.83/28.11 ( c_Nat__Transfer_Onat__set(V_A_2)
% 27.83/28.11 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 27.83/28.11 => 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)) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Diff__Int2,axiom,
% 27.83/28.11 ! [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) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Diff__Int__distrib2,axiom,
% 27.83/28.11 ! [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_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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Int__Diff,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Diff__Int__distrib,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Int__Un__distrib,axiom,
% 27.83/28.11 ! [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__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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Un__Int__distrib,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Int__Un__distrib2,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Un__Int__distrib2,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Un__Int__crazy,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__sup__absorb,axiom,
% 27.83/28.11 ! [V_y,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Olattice(T_a)
% 27.83/28.11 => 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 ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_sup__inf__absorb,axiom,
% 27.83/28.11 ! [V_y,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Olattice(T_a)
% 27.83/28.11 => 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 ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__sup__distrib1,axiom,
% 27.83/28.11 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Odistrib__lattice(T_a)
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_sup__inf__distrib1,axiom,
% 27.83/28.11 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Odistrib__lattice(T_a)
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__sup__distrib2,axiom,
% 27.83/28.11 ! [V_x,V_z,V_y,T_a] :
% 27.83/28.11 ( class_Lattices_Odistrib__lattice(T_a)
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_sup__inf__distrib2,axiom,
% 27.83/28.11 ! [V_x,V_z,V_y,T_a] :
% 27.83/28.11 ( class_Lattices_Odistrib__lattice(T_a)
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_quotient__empty,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_quotient__is__empty2,axiom,
% 27.83/28.11 ! [V_r_2,V_A_2,T_b] :
% 27.83/28.11 ( 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)
% 27.83/28.11 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_quotient__is__empty,axiom,
% 27.83/28.11 ! [V_r_2,V_A_2,T_b] :
% 27.83/28.11 ( 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))
% 27.83/28.11 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__Int__eq,axiom,
% 27.83/28.11 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 27.83/28.11 ( 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))
% 27.83/28.11 <=> 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))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_distrib__sup__le,axiom,
% 27.83/28.11 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Olattice(T_a)
% 27.83/28.11 => 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)))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_distrib__inf__le,axiom,
% 27.83/28.11 ! [V_z,V_y,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Olattice(T_a)
% 27.83/28.11 => 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)))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_inf__compl__bot,axiom,
% 27.83/28.11 ! [V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Oboolean__algebra(T_a)
% 27.83/28.11 => 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) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_compl__inf__bot,axiom,
% 27.83/28.11 ! [V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Oboolean__algebra(T_a)
% 27.83/28.11 => 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) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_diff__eq,axiom,
% 27.83/28.11 ! [V_y,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Oboolean__algebra(T_a)
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_compl__inf,axiom,
% 27.83/28.11 ! [V_y,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Oboolean__algebra(T_a)
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_compl__sup,axiom,
% 27.83/28.11 ! [V_y,V_x,T_a] :
% 27.83/28.11 ( class_Lattices_Oboolean__algebra(T_a)
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Int__insert__left__if1,axiom,
% 27.83/28.11 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Int__insert__right__if1,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.11 => 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)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Int__insert__left__if0,axiom,
% 27.83/28.11 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 27.83/28.11 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 27.83/28.11 => 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) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Int__insert__right__if0,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 27.83/28.11 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.11 => 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) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Int__insert__left,axiom,
% 27.83/28.11 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 27.83/28.11 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 27.83/28.11 => 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)) )
% 27.83/28.11 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 27.83/28.11 => 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) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Int__insert__right,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 27.83/28.11 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.11 => 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)) )
% 27.83/28.11 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.11 => 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) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_image__Int__subset,axiom,
% 27.83/28.11 ! [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)))) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Diff__disjoint,axiom,
% 27.83/28.11 ! [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_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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Diff__triv,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.11 ( 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))
% 27.83/28.11 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Un__Int__assoc__eq,axiom,
% 27.83/28.11 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 27.83/28.11 ( 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))
% 27.83/28.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Un__Diff__Int,axiom,
% 27.83/28.11 ! [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 ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Diff__Un,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Diff__Int,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 27.83/28.11 ! [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))) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Compl__disjoint,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Compl__disjoint2,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Image__Int__subset,axiom,
% 27.83/28.11 ! [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)))) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Compl__Un,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Compl__Int,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Diff__eq,axiom,
% 27.83/28.11 ! [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)) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Diff__Compl,axiom,
% 27.83/28.11 ! [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) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2] :
% 27.83/28.11 ( c_Nat__Transfer_Onat__set(V_A_2)
% 27.83/28.11 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 27.83/28.11 => 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))) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_disjoint__eq__subset__Compl,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.11 ( 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))
% 27.83/28.11 <=> 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))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.11 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 27.83/28.11 => 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)) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_singleton__quotient,axiom,
% 27.83/28.11 ! [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))) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_folding_Ounion__inter,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 27.83/28.11 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.11 => 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)) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.11 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 27.83/28.11 => ( 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))
% 27.83/28.11 => 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)) ) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_folding__one_Ounion__disjoint,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 27.83/28.11 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.11 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.11 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.11 => ( 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))
% 27.83/28.11 => 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)) ) ) ) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_folding__one_Ounion__inter,axiom,
% 27.83/28.11 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 27.83/28.11 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.11 => ( 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))
% 27.83/28.11 => 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)) ) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_quotientI,axiom,
% 27.83/28.11 ! [V_r_2,V_A_2,V_x_2,T_b] :
% 27.83/28.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.11 => 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))) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_quotient__eq__iff,axiom,
% 27.83/28.11 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 27.83/28.11 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 27.83/28.11 => ( 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)))
% 27.83/28.11 => ( 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)))
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 27.83/28.11 => ( V_X_2 = V_Y_2
% 27.83/28.11 <=> 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)) ) ) ) ) ) ) ).
% 27.83/28.11
% 27.83/28.11 fof(fact_quotient__eqI,axiom,
% 27.83/28.11 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 27.83/28.11 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 27.83/28.11 => ( 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)))
% 27.83/28.11 => ( 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)))
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 27.83/28.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 27.83/28.11 => ( 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))
% 27.83/28.11 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 27.83/28.11
% 27.83/28.12 fof(fact_folding_Ounion,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 27.83/28.12 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( 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))
% 27.83/28.12 => 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(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_ord_OatMost__iff,axiom,
% 27.83/28.12 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2)))
% 27.83/28.12 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_ord_OatLeast__iff,axiom,
% 27.83/28.12 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2)))
% 27.83/28.12 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_ord_OlessThan__iff,axiom,
% 27.83/28.12 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2)))
% 27.83/28.12 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_ord_OgreaterThan__iff,axiom,
% 27.83/28.12 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2)))
% 27.83/28.12 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_inf__nat__def,axiom,
% 27.83/28.12 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_inf__Int__eq2,axiom,
% 27.83/28.12 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 27.83/28.12 ( 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))
% 27.83/28.12 <=> 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))) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_quotientE,axiom,
% 27.83/28.12 ! [V_r_2,V_A_2,V_X_2,T_b] :
% 27.83/28.12 ( 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)))
% 27.83/28.12 => ~ ! [B_x] :
% 27.83/28.12 ( 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))))
% 27.83/28.12 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 27.83/28.12 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 27.83/28.12 ( 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)))
% 27.83/28.12 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 27.83/28.12 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 27.83/28.12 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 27.83/28.12 ( 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)))
% 27.83/28.12 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 27.83/28.12 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 27.83/28.12 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] :
% 27.83/28.12 ( 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)))
% 27.83/28.12 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 27.83/28.12 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_inf2E,axiom,
% 27.83/28.12 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 27.83/28.12 ( 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))
% 27.83/28.12 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 27.83/28.12 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_inf2I,axiom,
% 27.83/28.12 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] :
% 27.83/28.12 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 27.83/28.12 => 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)) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_inf2D2,axiom,
% 27.83/28.12 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 27.83/28.12 ( 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))
% 27.83/28.12 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_inf2D1,axiom,
% 27.83/28.12 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 27.83/28.12 ( 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))
% 27.83/28.12 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 27.83/28.12 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] :
% 27.83/28.12 ( 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)))
% 27.83/28.12 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 27.83/28.12 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Inf__fin_Oremove,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => ( ( 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))
% 27.83/28.12 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 )
% 27.83/28.12 & ( 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))
% 27.83/28.12 => 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)))))) ) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Sup__fin_Oremove,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => ( ( 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))
% 27.83/28.12 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 )
% 27.83/28.12 & ( 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))
% 27.83/28.12 => 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)))))) ) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Max_Oremove,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => ( ( 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))
% 27.83/28.12 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 )
% 27.83/28.12 & ( 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))
% 27.83/28.12 => 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)))))) ) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Inf__le__Sup,axiom,
% 27.83/28.12 ! [V_A_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => 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))) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Max_Osingleton,axiom,
% 27.83/28.12 ! [V_x_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => 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 ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Inf__fin_Osingleton,axiom,
% 27.83/28.12 ! [V_x_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => 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 ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Sup__fin_Osingleton,axiom,
% 27.83/28.12 ! [V_x_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => 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 ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Max__ge,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => 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))) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Max__in,axiom,
% 27.83/28.12 ! [V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Sup__fin_Oin__idem,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => 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) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_sup__Inf__absorb,axiom,
% 27.83/28.12 ! [V_a_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.12 => 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 ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Inf__fin_Oin__idem,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => 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) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_inf__Sup__absorb,axiom,
% 27.83/28.12 ! [V_a_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.12 => 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 ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Max_Oin__idem,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => 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) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Max__mono,axiom,
% 27.83/28.12 ! [V_N_2,V_M_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 27.83/28.12 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 27.83/28.12 => 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))) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => 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)) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => 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)) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Sup__fin_Osubset__idem,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 27.83/28.12 => 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) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Max__insert,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => 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)) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Inf__fin_Osubset__idem,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 27.83/28.12 => 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) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Sup__fin_Ounion__idem,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => 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)) ) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Max_Osubset__idem,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 27.83/28.12 => 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) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Inf__fin_Ounion__idem,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => 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)) ) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Max__Un,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => 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)) ) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Sup__fin_Oinsert,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => 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)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Inf__fin_Oinsert,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => 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)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Max_Oinsert,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => 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)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( ( 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))
% 27.83/28.12 => 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 )
% 27.83/28.12 & ( 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))
% 27.83/28.12 => 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)))))) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( ( 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))
% 27.83/28.12 => 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 )
% 27.83/28.12 & ( 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))
% 27.83/28.12 => 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)))))) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( 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))
% 27.83/28.12 => 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)) ) ) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Sup__fin_Ounion__inter,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( 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))
% 27.83/28.12 => 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)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Max_Oinsert__remove,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( ( 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))
% 27.83/28.12 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 27.83/28.12 & ( 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))
% 27.83/28.12 => 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)))))) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Inf__fin_Ounion__inter,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( 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))
% 27.83/28.12 => 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)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( 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))
% 27.83/28.12 => 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)) ) ) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Max_Ounion__inter,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( 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))
% 27.83/28.12 => 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)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Max_Ounion__disjoint,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( 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))
% 27.83/28.12 => 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)) ) ) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Max_Oclosed,axiom,
% 27.83/28.12 ! [V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( ! [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))))))
% 27.83/28.12 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Inf__fin_Oclosed,axiom,
% 27.83/28.12 ! [V_A_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( ! [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))))))
% 27.83/28.12 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Sup__fin_Oclosed,axiom,
% 27.83/28.12 ! [V_A_2,T_b] :
% 27.83/28.12 ( class_Lattices_Olattice(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( ! [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))))))
% 27.83/28.12 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Min_Oremove,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => ( ( 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))
% 27.83/28.12 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 )
% 27.83/28.12 & ( 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))
% 27.83/28.12 => 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)))))) ) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Min_Osingleton,axiom,
% 27.83/28.12 ! [V_x_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => 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 ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Min__le,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => 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)) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Min__in,axiom,
% 27.83/28.12 ! [V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Min_Oin__idem,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => 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) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Min__antimono,axiom,
% 27.83/28.12 ! [V_N_2,V_M_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 27.83/28.12 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 27.83/28.12 => 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))) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Min__insert,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => 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)) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Min_Osubset__idem,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 27.83/28.12 => 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) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Min__Un,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => 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)) ) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Min_Oinsert,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => 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)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Min_Oinsert__remove,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( ( 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))
% 27.83/28.12 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 27.83/28.12 & ( 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))
% 27.83/28.12 => 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)))))) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Min_Ounion__inter,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( 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))
% 27.83/28.12 => 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)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Min_Ounion__disjoint,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( 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))
% 27.83/28.12 => 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)) ) ) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_minus__Min__eq__Max,axiom,
% 27.83/28.12 ! [V_S_2,T_b] :
% 27.83/28.12 ( class_Groups_Olinordered__ab__group__add(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 27.83/28.12 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => 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)) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_minus__Max__eq__Min,axiom,
% 27.83/28.12 ! [V_S_2,T_b] :
% 27.83/28.12 ( class_Groups_Olinordered__ab__group__add(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 27.83/28.12 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => 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)) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Min_Oclosed,axiom,
% 27.83/28.12 ! [V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( ! [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))))))
% 27.83/28.12 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_folding__idem_Ounion__idem,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 27.83/28.12 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => 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(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 27.83/28.12 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 27.83/28.12 => 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) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => ( ( 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))
% 27.83/28.12 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 )
% 27.83/28.12 & ( 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))
% 27.83/28.12 => 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)))))) ) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 27.83/28.12 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 27.83/28.12 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 27.83/28.12 => 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) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_folding__idem_Oidem__comp,axiom,
% 27.83/28.12 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] :
% 27.83/28.12 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 27.83/28.12 => 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) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => 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) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 27.83/28.12 ! [V_x_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => 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 ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => 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)) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 27.83/28.12 => 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) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 27.83/28.12 ! [V_a_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.12 => 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 ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => 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)) ) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => 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)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( ( 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))
% 27.83/28.12 => 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 )
% 27.83/28.12 & ( 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))
% 27.83/28.12 => 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)))))) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( 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))
% 27.83/28.12 => 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)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( 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))
% 27.83/28.12 => 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)) ) ) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 27.83/28.12 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => 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) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_folding__idem_Oinsert__idem,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 27.83/28.12 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => 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)) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 27.83/28.12 ! [V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( ! [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))))))
% 27.83/28.12 => 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)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_OInf__le__Sup,axiom,
% 27.83/28.12 ! [V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => 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))) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => ( ( 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))
% 27.83/28.12 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 )
% 27.83/28.12 & ( 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))
% 27.83/28.12 => 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)))))) ) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_folding__one_Oclosed,axiom,
% 27.83/28.12 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 27.83/28.12 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( ! [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))))))
% 27.83/28.12 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => 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) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 27.83/28.12 ! [V_x_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => 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 ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => 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)) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 27.83/28.12 => 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) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 27.83/28.12 ! [V_a_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.12 => 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 ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => 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)) ) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => 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)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( ( 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))
% 27.83/28.12 => 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 )
% 27.83/28.12 & ( 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))
% 27.83/28.12 => 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)))))) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( 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))
% 27.83/28.12 => 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)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( 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))
% 27.83/28.12 => 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)) ) ) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 27.83/28.12 ! [V_A_2,T_b] :
% 27.83/28.12 ( class_Orderings_Olinorder(T_b)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 => ( ! [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))))))
% 27.83/28.12 => 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)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__Diff__singleton__if,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => 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)) )
% 27.83/28.12 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => 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) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__Diff__singleton,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => 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)) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card_Oremove,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => 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)))))) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 27.83/28.12 ! [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)) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 27.83/28.12 ! [V_A_2] :
% 27.83/28.12 ( c_Nat__Transfer_Onat__set(V_A_2)
% 27.83/28.12 => 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)) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card_Oempty,axiom,
% 27.83/28.12 ! [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) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__infinite,axiom,
% 27.83/28.12 ! [V_A_2,T_b] :
% 27.83/28.12 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__eq__0__iff,axiom,
% 27.83/28.12 ! [V_A_2,T_b] :
% 27.83/28.12 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.12 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__ge__0__finite,axiom,
% 27.83/28.12 ! [V_A_2,T_b] :
% 27.83/28.12 ( 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)))
% 27.83/28.12 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__insert__le,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => 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)))) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__mono,axiom,
% 27.83/28.12 ! [V_A_2,V_B_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.12 => 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))) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__seteq,axiom,
% 27.83/28.12 ! [V_A_2,V_B_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.12 => ( 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)))
% 27.83/28.12 => V_A_2 = V_B_2 ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__image__le,axiom,
% 27.83/28.12 ! [V_f_2,T_c,V_A_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => 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))) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_psubset__card__mono,axiom,
% 27.83/28.12 ! [V_A_2,V_B_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.12 => 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))) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__insert__disjoint,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => 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)) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__insert__if,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => 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) )
% 27.83/28.12 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => 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)) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__gt__0__iff,axiom,
% 27.83/28.12 ! [V_A_2,T_b] :
% 27.83/28.12 ( 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)))
% 27.83/28.12 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card_Ounion__inter,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => 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)) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__Un__Int,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => 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))) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__Diff__subset,axiom,
% 27.83/28.12 ! [V_A_2,V_B_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 27.83/28.12 => 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)) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__Diff__subset__Int,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( 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)))
% 27.83/28.12 => 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))) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_diff__card__le__card__Diff,axiom,
% 27.83/28.12 ! [V_A_2,V_B_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => 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)))) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__psubset,axiom,
% 27.83/28.12 ! [V_A_2,V_B_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.12 => ( 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)))
% 27.83/28.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__insert,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => 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)))))) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__Un__disjoint,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( 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))
% 27.83/28.12 => 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)) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__Diff1__le,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => 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))) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card_Oinsert,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => 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)) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__Suc__Diff1,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => 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) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__Diff2__less,axiom,
% 27.83/28.12 ! [V_y_2,V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 27.83/28.12 => 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))) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__Diff1__less,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => 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))) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__Diff__insert,axiom,
% 27.83/28.12 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 27.83/28.12 => 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)) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card_Oinsert__remove,axiom,
% 27.83/28.12 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => 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)))))) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card_Ounion__inter__neutral,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( ( ? [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)))
% 27.83/28.12 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 27.83/28.12 => 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)) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__Suc__eq,axiom,
% 27.83/28.12 ! [V_k_2,V_A_2,T_b] :
% 27.83/28.12 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 27.83/28.12 <=> ? [B_b,B_B] :
% 27.83/28.12 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B)
% 27.83/28.12 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B))
% 27.83/28.12 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2
% 27.83/28.12 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.12 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__Plus__conv__if,axiom,
% 27.83/28.12 ! [V_B_2,T_c,V_A_2,T_b] :
% 27.83/28.12 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 27.83/28.12 => 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)) )
% 27.83/28.12 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 27.83/28.12 => 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) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod__gen__delta,axiom,
% 27.83/28.12 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 27.83/28.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 27.83/28.12 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 27.83/28.12 => 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)))) )
% 27.83/28.12 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 27.83/28.12 => 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)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_abs__setprod,axiom,
% 27.83/28.12 ! [V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.12 ( class_Fields_Olinordered__field(T_b)
% 27.83/28.12 => 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) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod__1,axiom,
% 27.83/28.12 ! [V_A_2,T_c,T_b] :
% 27.83/28.12 ( class_Groups_Ocomm__monoid__mult(T_b)
% 27.83/28.12 => 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) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_of__int__setprod,axiom,
% 27.83/28.12 ! [V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.12 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 27.83/28.12 & class_Rings_Oring__1(T_b) )
% 27.83/28.12 => 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) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_int__setprod,axiom,
% 27.83/28.12 ! [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) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_of__nat__setprod,axiom,
% 27.83/28.12 ! [V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.12 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 27.83/28.12 & class_Rings_Osemiring__1(T_b) )
% 27.83/28.12 => 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) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 27.83/28.12 ! [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)) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod__timesf,axiom,
% 27.83/28.12 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 27.83/28.12 ( class_Groups_Ocomm__monoid__mult(T_b)
% 27.83/28.12 => 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)) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 27.83/28.12 ! [V_A_2,V_f_2,T_b] :
% 27.83/28.12 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.12 & class_Groups_Ocomm__monoid__mult(T_b) )
% 27.83/28.12 => 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)) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod__zero,axiom,
% 27.83/28.12 ! [V_f_2,V_A_2,T_b,T_c] :
% 27.83/28.12 ( class_Rings_Ocomm__semiring__1(T_c)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( ? [B_x] :
% 27.83/28.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.12 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 27.83/28.12 => 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) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod__zero__iff,axiom,
% 27.83/28.12 ! [V_f_2,V_A_2,T_b,T_c] :
% 27.83/28.12 ( ( class_Rings_Ocomm__semiring__1(T_c)
% 27.83/28.12 & class_Rings_Ono__zero__divisors(T_c) )
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( 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)
% 27.83/28.12 <=> ? [B_x] :
% 27.83/28.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.12 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod_Oempty,axiom,
% 27.83/28.12 ! [V_g_2,T_c,T_b] :
% 27.83/28.12 ( class_Groups_Ocomm__monoid__mult(T_b)
% 27.83/28.12 => 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) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod__empty,axiom,
% 27.83/28.12 ! [V_f_2,T_c,T_b] :
% 27.83/28.12 ( class_Groups_Ocomm__monoid__mult(T_b)
% 27.83/28.12 => 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) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod__infinite,axiom,
% 27.83/28.12 ! [V_f_2,V_A_2,T_b,T_c] :
% 27.83/28.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.12 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => 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) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod_Oinfinite,axiom,
% 27.83/28.12 ! [V_g_2,V_A_2,T_b,T_c] :
% 27.83/28.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.12 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => 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) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod__eq__1__iff,axiom,
% 27.83/28.12 ! [V_f_2,V_F_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 27.83/28.12 => ( 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)
% 27.83/28.12 <=> ! [B_x] :
% 27.83/28.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 27.83/28.12 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_finite__PlusD_I2_J,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_c,T_b] :
% 27.83/28.12 ( 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)))
% 27.83/28.12 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_finite__PlusD_I1_J,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_c,T_b] :
% 27.83/28.12 ( 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)))
% 27.83/28.12 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_finite__Plus,axiom,
% 27.83/28.12 ! [V_B_2,T_c,V_A_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 27.83/28.12 => 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))) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_finite__Plus__iff,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_c,T_b] :
% 27.83/28.12 ( 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)))
% 27.83/28.12 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 27.83/28.12 ! [V_f_2,V_A_2,T_b] :
% 27.83/28.12 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.12 & class_Groups_Ocomm__monoid__mult(T_b) )
% 27.83/28.12 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 27.83/28.12 => 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)) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod_Odistrib,axiom,
% 27.83/28.12 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 27.83/28.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => 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)) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod__dividef,axiom,
% 27.83/28.12 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 27.83/28.12 ( class_Fields_Ofield__inverse__zero(T_c)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => 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)) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod__pos__nat__iff,axiom,
% 27.83/28.12 ! [V_f_2,V_S_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 27.83/28.12 => ( 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)))
% 27.83/28.12 <=> ! [B_x] :
% 27.83/28.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 27.83/28.12 => 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))) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod__delta_H,axiom,
% 27.83/28.12 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 27.83/28.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 27.83/28.12 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 27.83/28.12 => 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) )
% 27.83/28.12 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 27.83/28.12 => 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) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod__delta,axiom,
% 27.83/28.12 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 27.83/28.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 27.83/28.12 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 27.83/28.12 => 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) )
% 27.83/28.12 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 27.83/28.12 => 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) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod__constant,axiom,
% 27.83/28.12 ! [V_y_2,V_A_2,T_b,T_c] :
% 27.83/28.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => 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)) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod__insert,axiom,
% 27.83/28.12 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 27.83/28.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.12 => 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)) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod_Oinsert,axiom,
% 27.83/28.12 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 27.83/28.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => 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)) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod_Ounion__inter,axiom,
% 27.83/28.12 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 27.83/28.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => 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)) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod__Un__Int,axiom,
% 27.83/28.12 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 27.83/28.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => 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)) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod_Oinsert__remove,axiom,
% 27.83/28.12 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 27.83/28.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => 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)))))) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod__Un__disjoint,axiom,
% 27.83/28.12 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 27.83/28.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( 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))
% 27.83/28.12 => 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)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod_Ounion__disjoint,axiom,
% 27.83/28.12 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 27.83/28.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( 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))
% 27.83/28.12 => 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)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_card__Plus,axiom,
% 27.83/28.12 ! [V_B_2,T_c,V_A_2,T_b] :
% 27.83/28.12 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 27.83/28.12 => 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)) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod_Oremove,axiom,
% 27.83/28.12 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 27.83/28.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.12 => 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)))))) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod__diff1,axiom,
% 27.83/28.12 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] :
% 27.83/28.12 ( class_Fields_Ofield(T_c)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c)
% 27.83/28.12 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.12 => 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)) )
% 27.83/28.12 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.12 => 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) ) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod__Un,axiom,
% 27.83/28.12 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 27.83/28.12 ( class_Fields_Ofield(T_c)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( ! [B_x] :
% 27.83/28.12 ( 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)))
% 27.83/28.12 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) )
% 27.83/28.12 => 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))) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_Plus__eq__empty__conv,axiom,
% 27.83/28.12 ! [V_B_2,V_A_2,T_c,T_b] :
% 27.83/28.12 ( 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))
% 27.83/28.12 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.12 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod__Un__one,axiom,
% 27.83/28.12 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 27.83/28.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 27.83/28.12 => ( ! [B_x] :
% 27.83/28.12 ( 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)))
% 27.83/28.12 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 27.83/28.12 => 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)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.12 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 27.83/28.12 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 27.83/28.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.12 => ( ! [B_x] :
% 27.83/28.12 ( 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)))
% 27.83/28.12 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 27.83/28.12 => 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)) ) ) ) ) ).
% 27.83/28.12
% 27.83/28.13 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 27.83/28.13 ! [V_f_2,V_A_2,T_b] :
% 27.83/28.13 ( ! [B_x] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.13 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 27.83/28.13 => 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)) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_card__greaterThanLessThan__int,axiom,
% 27.83/28.13 ! [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)))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_quotient__def,axiom,
% 27.83/28.13 ! [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)))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_fold__Un__disjoint,axiom,
% 27.83/28.13 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 27.83/28.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.13 => ( 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))
% 27.83/28.13 => 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)) ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_SUP1__I,axiom,
% 27.83/28.13 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 27.83/28.13 => 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)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_finite__greaterThanLessThan__int,axiom,
% 27.83/28.13 ! [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))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_finite__UN,axiom,
% 27.83/28.13 ! [V_B_2,T_c,V_A_2,T_b] :
% 27.83/28.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.13 => ( 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)))
% 27.83/28.13 <=> ! [B_x] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_fold__image__empty,axiom,
% 27.83/28.13 ! [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 ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Image__UN,axiom,
% 27.83/28.13 ! [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)) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__o,axiom,
% 27.83/28.13 ! [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) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_SUP1__iff,axiom,
% 27.83/28.13 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 27.83/28.13 ( 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))
% 27.83/28.13 <=> ? [B_x] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.13 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 27.83/28.13 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.13 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 27.83/28.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 27.83/28.13 => 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) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_greaterThanLessThan__empty,axiom,
% 27.83/28.13 ! [V_k_2,V_l_2,T_b] :
% 27.83/28.13 ( class_Orderings_Oorder(T_b)
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 27.83/28.13 => 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)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 27.83/28.13 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.13 ( class_Groups_Oordered__ab__group__add(T_b)
% 27.83/28.13 => 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)) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Image__eq__UN,axiom,
% 27.83/28.13 ! [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))))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_fold__image__distrib,axiom,
% 27.83/28.13 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 27.83/28.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.13 => 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)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_fold__image__insert,axiom,
% 27.83/28.13 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] :
% 27.83/28.13 ( class_Groups_Oab__semigroup__mult(T_c)
% 27.83/28.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.13 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.13 => 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)) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Int__greaterThanLessThan,axiom,
% 27.83/28.13 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 27.83/28.13 ( class_Orderings_Olinorder(T_b)
% 27.83/28.13 => 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)) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_setprod_OF__eq,axiom,
% 27.83/28.13 ! [V_g_2,V_A_2,T_b,T_c] :
% 27.83/28.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.13 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.13 => 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) )
% 27.83/28.13 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.13 => 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) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_setprod_Oeq__fold,axiom,
% 27.83/28.13 ! [V_g_2,V_A_2,T_b,T_c] :
% 27.83/28.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.13 => 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) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_fold__image__Un__Int,axiom,
% 27.83/28.13 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 27.83/28.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.13 => 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))) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_image__eq__fold__image,axiom,
% 27.83/28.13 ! [V_f_2,T_c,V_A_2,T_b] :
% 27.83/28.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.13 => 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) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_card_Oeq__fold__g,axiom,
% 27.83/28.13 ! [V_A_2,T_b] :
% 27.83/28.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.13 => 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) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_card__def,axiom,
% 27.83/28.13 ! [V_A_2,T_b] :
% 27.83/28.13 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.13 => 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) )
% 27.83/28.13 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.13 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__I,axiom,
% 27.83/28.13 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 27.83/28.13 => 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))) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_image__eq__UN,axiom,
% 27.83/28.13 ! [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)))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__equiv__class,axiom,
% 27.83/28.13 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 27.83/28.13 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 27.83/28.13 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.13 => 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) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__equiv__class2,axiom,
% 27.83/28.13 ! [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] :
% 27.83/28.13 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 27.83/28.13 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 27.83/28.13 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2))
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2))
% 27.83/28.13 => 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) ) ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_finite__greaterThanLessThan,axiom,
% 27.83/28.13 ! [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))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_congruent2__implies__congruent,axiom,
% 27.83/28.13 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] :
% 27.83/28.13 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2)
% 27.83/28.13 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.13 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_ball__UN,axiom,
% 27.83/28.13 ! [V_Pa_2,V_B_2,V_A_2,T_c,T_b] :
% 27.83/28.13 ( ! [B_x] :
% 27.83/28.13 ( 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)))
% 27.83/28.13 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 27.83/28.13 <=> ! [B_x] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 27.83/28.13 => ! [B_xa] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x)))
% 27.83/28.13 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_card__greaterThanLessThan,axiom,
% 27.83/28.13 ! [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)) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_SUP__commute,axiom,
% 27.83/28.13 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 27.83/28.13 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.13 => 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))) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__UN__flatten,axiom,
% 27.83/28.13 ! [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)) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__simps_I9_J,axiom,
% 27.83/28.13 ! [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)) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__extend__simps_I9_J,axiom,
% 27.83/28.13 ! [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) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_congruent2D,axiom,
% 27.83/28.13 ! [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] :
% 27.83/28.13 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 27.83/28.13 => ( 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))
% 27.83/28.13 => ( 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))
% 27.83/28.13 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_congruentD,axiom,
% 27.83/28.13 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] :
% 27.83/28.13 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 27.83/28.13 => ( 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))
% 27.83/28.13 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_congruent2__implies__congruent__UN,axiom,
% 27.83/28.13 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 27.83/28.13 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 27.83/28.13 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 27.83/28.13 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2))
% 27.83/28.13 => 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)) ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_SUP__le__iff,axiom,
% 27.83/28.13 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] :
% 27.83/28.13 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.13 => ( 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))
% 27.83/28.13 <=> ! [B_x] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 27.83/28.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_less__SUP__iff,axiom,
% 27.83/28.13 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] :
% 27.83/28.13 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.13 & class_Orderings_Olinorder(T_b) )
% 27.83/28.13 => ( 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)))
% 27.83/28.13 <=> ? [B_x] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 27.83/28.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__iff,axiom,
% 27.83/28.13 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 27.83/28.13 ( 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)))
% 27.83/28.13 <=> ? [B_x] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 27.83/28.13 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_SUP__const,axiom,
% 27.83/28.13 ! [V_M_2,T_b,V_A_2,T_c] :
% 27.83/28.13 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 27.83/28.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.13 => 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 ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UNION__empty__conv_I2_J,axiom,
% 27.83/28.13 ! [V_B_2,V_A_2,T_b,T_c] :
% 27.83/28.13 ( 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))
% 27.83/28.13 <=> ! [B_x] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 27.83/28.13 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__constant,axiom,
% 27.83/28.13 ! [V_c_2,T_c,T_b,V_A_2] :
% 27.83/28.13 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.13 => 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)) )
% 27.83/28.13 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.13 => 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 ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__empty2,axiom,
% 27.83/28.13 ! [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)) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UNION__empty__conv_I1_J,axiom,
% 27.83/28.13 ! [V_B_2,V_A_2,T_c,T_b] :
% 27.83/28.13 ( 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)
% 27.83/28.13 <=> ! [B_x] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 27.83/28.13 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__subset__iff,axiom,
% 27.83/28.13 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] :
% 27.83/28.13 ( 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))
% 27.83/28.13 <=> ! [B_x] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 27.83/28.13 => 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)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__extend__simps_I10_J,axiom,
% 27.83/28.13 ! [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) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_image__UN,axiom,
% 27.83/28.13 ! [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)) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__simps_I10_J,axiom,
% 27.83/28.13 ! [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)) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__Un__distrib,axiom,
% 27.83/28.13 ! [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)) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__Un,axiom,
% 27.83/28.13 ! [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)) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__simps_I5_J,axiom,
% 27.83/28.13 ! [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)) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__simps_I4_J,axiom,
% 27.83/28.13 ! [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) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__extend__simps_I5_J,axiom,
% 27.83/28.13 ! [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)) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Int__UN__distrib,axiom,
% 27.83/28.13 ! [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)) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__extend__simps_I4_J,axiom,
% 27.83/28.13 ! [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)) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Int__UN__distrib2,axiom,
% 27.83/28.13 ! [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))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_SUPR__apply,axiom,
% 27.83/28.13 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 27.83/28.13 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.13 => 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)) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__simps_I6_J,axiom,
% 27.83/28.13 ! [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) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__extend__simps_I6_J,axiom,
% 27.83/28.13 ! [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)) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_SUP__subset,axiom,
% 27.83/28.13 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 27.83/28.13 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.13 => 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))) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_le__SUPI,axiom,
% 27.83/28.13 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 27.83/28.13 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 27.83/28.13 => 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))) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__insert__distrib,axiom,
% 27.83/28.13 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 27.83/28.13 => 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)) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__upper,axiom,
% 27.83/28.13 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.13 => 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))) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__absorb,axiom,
% 27.83/28.13 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 27.83/28.13 => 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) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__extend__simps_I1_J,axiom,
% 27.83/28.13 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 27.83/28.13 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.13 => 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))) )
% 27.83/28.13 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.13 => 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)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__singleton,axiom,
% 27.83/28.13 ! [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 ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__simps_I1_J,axiom,
% 27.83/28.13 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 27.83/28.13 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.13 => 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)) )
% 27.83/28.13 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.13 => 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)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__extend__simps_I2_J,axiom,
% 27.83/28.13 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 27.83/28.13 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.13 => 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 )
% 27.83/28.13 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.13 => 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)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__extend__simps_I3_J,axiom,
% 27.83/28.13 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 27.83/28.13 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.13 => 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 )
% 27.83/28.13 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.13 => 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)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__simps_I2_J,axiom,
% 27.83/28.13 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 27.83/28.13 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.13 => 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)) )
% 27.83/28.13 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.13 => 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) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__simps_I3_J,axiom,
% 27.83/28.13 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 27.83/28.13 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.13 => 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)) )
% 27.83/28.13 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.13 => 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)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__insert,axiom,
% 27.83/28.13 ! [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)) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_minus__int__def,axiom,
% 27.83/28.13 ! [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))))))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__equiv__class__inject,axiom,
% 27.83/28.13 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 27.83/28.13 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 27.83/28.13 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 27.83/28.13 => ( 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)
% 27.83/28.13 => ( 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)))
% 27.83/28.13 => ( 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)))
% 27.83/28.13 => ( ! [B_x] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.13 => ! [B_y] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 27.83/28.13 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 27.83/28.13 => 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)) ) ) )
% 27.83/28.13 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__equiv__class__type2,axiom,
% 27.83/28.13 ! [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] :
% 27.83/28.13 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 27.83/28.13 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 27.83/28.13 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 27.83/28.13 => ( 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)))
% 27.83/28.13 => ( 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)))
% 27.83/28.13 => ( ! [B_x1] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2))
% 27.83/28.13 => ! [B_x2] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2))
% 27.83/28.13 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 27.83/28.13 => 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)) ) ) ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__equiv__class__type,axiom,
% 27.83/28.13 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 27.83/28.13 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 27.83/28.13 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 27.83/28.13 => ( 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)))
% 27.83/28.13 => ( ! [B_x] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.13 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 27.83/28.13 => 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)) ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_SUP2__I,axiom,
% 27.83/28.13 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 27.83/28.13 => 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)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Rep__Integ__inject,axiom,
% 27.83/28.13 ! [V_y_2,V_x_2] :
% 27.83/28.13 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 27.83/28.13 <=> V_x_2 = V_y_2 ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Rep__Integ__inverse,axiom,
% 27.83/28.13 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 27.83/28.13
% 27.83/28.13 fof(fact_nat__def,axiom,
% 27.83/28.13 ! [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)))))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_comm__monoid__big_OF__eq,axiom,
% 27.83/28.13 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.13 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 27.83/28.13 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 27.83/28.13 => 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) )
% 27.83/28.13 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 27.83/28.13 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_fold__image__Un__one,axiom,
% 27.83/28.13 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 27.83/28.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 27.83/28.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 27.83/28.13 => ( ! [B_x] :
% 27.83/28.13 ( 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)))
% 27.83/28.13 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 27.83/28.13 => 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)) ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Id__on__def,axiom,
% 27.83/28.13 ! [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)))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_ivl__disj__un_I4_J,axiom,
% 27.83/28.13 ! [V_u_2,V_l_2,T_b] :
% 27.83/28.13 ( class_Orderings_Olinorder(T_b)
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 27.83/28.13 => 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) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_finite__greaterThanAtMost,axiom,
% 27.83/28.13 ! [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))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_finite__greaterThanAtMost__int,axiom,
% 27.83/28.13 ! [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))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_SUP2__iff,axiom,
% 27.83/28.13 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 27.83/28.13 ( 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))
% 27.83/28.13 <=> ? [B_x] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.13 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Id__on__def_H,axiom,
% 27.83/28.13 ! [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)) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_greaterThanAtMost__empty,axiom,
% 27.83/28.13 ! [V_k_2,V_l_2,T_b] :
% 27.83/28.13 ( class_Orderings_Oorder(T_b)
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 27.83/28.13 => 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)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 27.83/28.13 ! [V_l_2,V_k_2,T_b] :
% 27.83/28.13 ( class_Orderings_Oorder(T_b)
% 27.83/28.13 => ( 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))
% 27.83/28.13 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 27.83/28.13 ! [V_l_2,V_k_2,T_b] :
% 27.83/28.13 ( class_Orderings_Oorder(T_b)
% 27.83/28.13 => ( 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)
% 27.83/28.13 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_ivl__disj__un_I20_J,axiom,
% 27.83/28.13 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 27.83/28.13 ( class_Orderings_Olinorder(T_b)
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 27.83/28.13 => 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) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_ivl__disj__int_I14_J,axiom,
% 27.83/28.13 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 27.83/28.13 ( class_Orderings_Oorder(T_b)
% 27.83/28.13 => 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)) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_card__greaterThanAtMost,axiom,
% 27.83/28.13 ! [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) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Id__on__empty,axiom,
% 27.83/28.13 ! [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)) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Image__Id__on,axiom,
% 27.83/28.13 ! [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) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Int__greaterThanAtMost,axiom,
% 27.83/28.13 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 27.83/28.13 ( class_Orderings_Olinorder(T_b)
% 27.83/28.13 => 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)) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_ivl__disj__int_I10_J,axiom,
% 27.83/28.13 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 27.83/28.13 ( class_Orderings_Oorder(T_b)
% 27.83/28.13 => 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)) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Id__on__eqI,axiom,
% 27.83/28.13 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 27.83/28.13 ( V_a_2 = V_b_2
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.13 => 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))) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Id__on__iff,axiom,
% 27.83/28.13 ! [V_A_2,V_y_2,V_x_2,T_b] :
% 27.83/28.13 ( 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)))
% 27.83/28.13 <=> ( V_x_2 = V_y_2
% 27.83/28.13 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_card__greaterThanAtMost__int,axiom,
% 27.83/28.13 ! [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)) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 27.83/28.13 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.13 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 27.83/28.13 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 27.83/28.13 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_ivl__disj__un_I16_J,axiom,
% 27.83/28.13 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 27.83/28.13 ( class_Orderings_Olinorder(T_b)
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 27.83/28.13 => 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) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Id__onE,axiom,
% 27.83/28.13 ! [V_A_2,V_c_2,T_b] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2)))
% 27.83/28.13 => ~ ! [B_x] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.13 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 27.83/28.13 ! [V_N_2,V_h_2,T_b] :
% 27.83/28.13 ( class_Orderings_Olinorder(T_b)
% 27.83/28.13 => ( ! [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))
% 27.83/28.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 27.83/28.13 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.13 => 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)) ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 27.83/28.13 ! [V_N_2,V_h_2,T_b] :
% 27.83/28.13 ( class_Orderings_Olinorder(T_b)
% 27.83/28.13 => ( ! [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))
% 27.83/28.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 27.83/28.13 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.13 => 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)) ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Max_Ohom__commute,axiom,
% 27.83/28.13 ! [V_N_2,V_h_2,T_b] :
% 27.83/28.13 ( class_Orderings_Olinorder(T_b)
% 27.83/28.13 => ( ! [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))
% 27.83/28.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 27.83/28.13 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.13 => 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)) ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Min_Ohom__commute,axiom,
% 27.83/28.13 ! [V_N_2,V_h_2,T_b] :
% 27.83/28.13 ( class_Orderings_Olinorder(T_b)
% 27.83/28.13 => ( ! [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))
% 27.83/28.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 27.83/28.13 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.13 => 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)) ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Inf__fin_Ohom__commute,axiom,
% 27.83/28.13 ! [V_N_2,V_h_2,T_b] :
% 27.83/28.13 ( class_Lattices_Olattice(T_b)
% 27.83/28.13 => ( ! [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))
% 27.83/28.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 27.83/28.13 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.13 => 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)) ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Sup__fin_Ohom__commute,axiom,
% 27.83/28.13 ! [V_N_2,V_h_2,T_b] :
% 27.83/28.13 ( class_Lattices_Olattice(T_b)
% 27.83/28.13 => ( ! [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))
% 27.83/28.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 27.83/28.13 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.13 => 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)) ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_setprod__mono__one__right,axiom,
% 27.83/28.13 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 27.83/28.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 27.83/28.13 => ( ! [B_x] :
% 27.83/28.13 ( 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)))
% 27.83/28.13 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 27.83/28.13 => 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) ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_setprod__mono__one__left,axiom,
% 27.83/28.13 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 27.83/28.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 27.83/28.13 => ( ! [B_x] :
% 27.83/28.13 ( 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)))
% 27.83/28.13 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 27.83/28.13 => 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) ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_card__Pow,axiom,
% 27.83/28.13 ! [V_A_2,T_b] :
% 27.83/28.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.13 => 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)) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_finite__empty__induct,axiom,
% 27.83/28.13 ! [V_Pa_2,V_A_2,T_b] :
% 27.83/28.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.13 => ( hBOOL(hAPP(V_Pa_2,V_A_2))
% 27.83/28.13 => ( ! [B_a,B_A] :
% 27.83/28.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A))
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A))
% 27.83/28.13 => ( hBOOL(hAPP(V_Pa_2,B_A))
% 27.83/28.13 => 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)))))) ) ) )
% 27.83/28.13 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_ivl__disj__un_I19_J,axiom,
% 27.83/28.13 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 27.83/28.13 ( class_Orderings_Olinorder(T_b)
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 27.83/28.13 => 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) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_finite__atLeastAtMost,axiom,
% 27.83/28.13 ! [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))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_finite__atLeastAtMost__int,axiom,
% 27.83/28.13 ! [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))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_PowI,axiom,
% 27.83/28.13 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.13 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Pow__insert,axiom,
% 27.83/28.13 ! [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))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_finite__Pow__iff,axiom,
% 27.83/28.13 ! [V_A_2,T_b] :
% 27.83/28.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)))
% 27.83/28.13 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 27.83/28.13 ! [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))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_image__add__atLeastAtMost,axiom,
% 27.83/28.13 ! [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)) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Pow__top,axiom,
% 27.83/28.13 ! [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))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Pow__mono,axiom,
% 27.83/28.13 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.13 => 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))) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_image__Pow__surj,axiom,
% 27.83/28.13 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 27.83/28.13 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2
% 27.83/28.13 => 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) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Un__Pow__subset,axiom,
% 27.83/28.13 ! [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)))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Cantors__paradox,axiom,
% 27.83/28.13 ! [V_A_2,T_b] :
% 27.83/28.13 ~ ? [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) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_image__Suc__atLeastAtMost,axiom,
% 27.83/28.13 ! [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)) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Pow__Int__eq,axiom,
% 27.83/28.13 ! [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)) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Pow__not__empty,axiom,
% 27.83/28.13 ! [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)) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 27.83/28.13 ! [V_n_2,V_m_2] :
% 27.83/28.13 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 27.83/28.13 => ( c_Nat__Transfer_Ois__nat(V_n_2)
% 27.83/28.13 => 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))) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 27.83/28.13 ! [V_y_2,V_x_2] :
% 27.83/28.13 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 27.83/28.13 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_atLeastatMost__empty__iff2,axiom,
% 27.83/28.13 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.13 ( class_Orderings_Oorder(T_b)
% 27.83/28.13 => ( 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)
% 27.83/28.13 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_atLeastatMost__empty__iff,axiom,
% 27.83/28.13 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.13 ( class_Orderings_Oorder(T_b)
% 27.83/28.13 => ( 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))
% 27.83/28.13 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_atLeastatMost__empty,axiom,
% 27.83/28.13 ! [V_a_2,V_b_2,T_b] :
% 27.83/28.13 ( class_Orderings_Oorder(T_b)
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2))
% 27.83/28.13 => 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)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_atLeastatMost__subset__iff,axiom,
% 27.83/28.13 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 27.83/28.13 ( class_Orderings_Oorder(T_b)
% 27.83/28.13 => ( 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)))
% 27.83/28.13 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 27.83/28.13 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 27.83/28.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_atLeastAtMost__singleton_H,axiom,
% 27.83/28.13 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.13 ( class_Orderings_Oorder(T_b)
% 27.83/28.13 => ( V_a_2 = V_b_2
% 27.83/28.13 => 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))) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 27.83/28.13 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 27.83/28.13 ( class_Orderings_Oorder(T_b)
% 27.83/28.13 => ( 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)))
% 27.83/28.13 <=> ( V_a_2 = V_b_2
% 27.83/28.13 & V_b_2 = V_c_2 ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_atLeastAtMost__singleton,axiom,
% 27.83/28.13 ! [V_a_2,T_b] :
% 27.83/28.13 ( class_Orderings_Oorder(T_b)
% 27.83/28.13 => 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))) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_image__uminus__atLeastAtMost,axiom,
% 27.83/28.13 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.13 ( class_Groups_Oordered__ab__group__add(T_b)
% 27.83/28.13 => 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)) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Pow__bottom,axiom,
% 27.83/28.13 ! [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))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_image__Pow__mono,axiom,
% 27.83/28.13 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.13 ( 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))
% 27.83/28.13 => 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))) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Pow__iff,axiom,
% 27.83/28.13 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 27.83/28.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_PowD,axiom,
% 27.83/28.13 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 27.83/28.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 27.83/28.13 ! [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) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 27.83/28.13 ! [V_y_2,V_x_2] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 27.83/28.13 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_card__atLeastAtMost,axiom,
% 27.83/28.13 ! [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) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_atLeastAtMostSuc__conv,axiom,
% 27.83/28.13 ! [V_n_2,V_m_2] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 27.83/28.13 => 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)) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 27.83/28.13 ! [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) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Int__atLeastAtMost,axiom,
% 27.83/28.13 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 27.83/28.13 ( class_Orderings_Olinorder(T_b)
% 27.83/28.13 => 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)) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_atLeastatMost__psubset__iff,axiom,
% 27.83/28.13 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 27.83/28.13 ( class_Orderings_Oorder(T_b)
% 27.83/28.13 => ( 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)))
% 27.83/28.13 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 27.83/28.13 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 27.83/28.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2))
% 27.83/28.13 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2))
% 27.83/28.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) )
% 27.83/28.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_ivl__disj__un_I22_J,axiom,
% 27.83/28.13 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 27.83/28.13 ( class_Orderings_Olinorder(T_b)
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 27.83/28.13 => 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) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_UN__Pow__subset,axiom,
% 27.83/28.13 ! [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)))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_ivl__disj__int_I16_J,axiom,
% 27.83/28.13 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 27.83/28.13 ( class_Orderings_Oorder(T_b)
% 27.83/28.13 => 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)) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_ivl__disj__int_I12_J,axiom,
% 27.83/28.13 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 27.83/28.13 ( class_Orderings_Oorder(T_b)
% 27.83/28.13 => 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)) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_ivl__disj__int_I13_J,axiom,
% 27.83/28.13 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 27.83/28.13 ( class_Orderings_Oorder(T_b)
% 27.83/28.13 => 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)) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Pow__empty,axiom,
% 27.83/28.13 ! [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))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_simp__from__to,axiom,
% 27.83/28.13 ! [V_i_2,V_j_2] :
% 27.83/28.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 27.83/28.13 => 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)) )
% 27.83/28.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 27.83/28.13 => 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)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_card__atLeastAtMost__int,axiom,
% 27.83/28.13 ! [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))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_ivl__disj__un_I5_J,axiom,
% 27.83/28.13 ! [V_u_2,V_l_2,T_b] :
% 27.83/28.13 ( class_Orderings_Olinorder(T_b)
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 27.83/28.13 => 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) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Powp__Pow__eq,axiom,
% 27.83/28.13 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.13 ( 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))
% 27.83/28.13 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_bset_I8_J,axiom,
% 27.83/28.13 ! [V_B_2,V_t_2,V_D_2] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 27.83/28.13 => ( 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))
% 27.83/28.13 => ! [B_x] :
% 27.83/28.13 ( ! [B_xa] :
% 27.83/28.13 ( 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)))
% 27.83/28.13 => ! [B_xb] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 27.83/28.13 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 27.83/28.13 => 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))) ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_aset_I6_J,axiom,
% 27.83/28.13 ! [V_A_2,V_t_2,V_D_2] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 27.83/28.13 => ( 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))
% 27.83/28.13 => ! [B_x] :
% 27.83/28.13 ( ! [B_xa] :
% 27.83/28.13 ( 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)))
% 27.83/28.13 => ! [B_xb] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 27.83/28.13 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 27.83/28.13 => 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)) ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_aset_I4_J,axiom,
% 27.83/28.13 ! [V_A_2,V_t_2,V_D_2] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 27.83/28.13 => ! [B_x] :
% 27.83/28.13 ( ! [B_xa] :
% 27.83/28.13 ( 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)))
% 27.83/28.13 => ! [B_xb] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 27.83/28.13 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 27.83/28.13 => ( B_x != V_t_2
% 27.83/28.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_Powp__mono,axiom,
% 27.83/28.13 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.13 => 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))) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_ex__nat__less,axiom,
% 27.83/28.13 ! [V_Pa_2,V_n_2] :
% 27.83/28.13 ( ? [B_m] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 27.83/28.13 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 27.83/28.13 <=> ? [B_x] :
% 27.83/28.13 ( 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)))
% 27.83/28.13 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_all__nat__less,axiom,
% 27.83/28.13 ! [V_Pa_2,V_n_2] :
% 27.83/28.13 ( ! [B_m] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 27.83/28.13 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 27.83/28.13 <=> ! [B_x] :
% 27.83/28.13 ( 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)))
% 27.83/28.13 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_bset_I3_J,axiom,
% 27.83/28.13 ! [V_B_2,V_t_2,V_D_2] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 27.83/28.13 => ( 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))
% 27.83/28.13 => ( ! [B_x] :
% 27.83/28.13 ( 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)))
% 27.83/28.13 => ! [B_xa] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 27.83/28.13 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 27.83/28.13 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_bset_I4_J,axiom,
% 27.83/28.13 ! [V_B_2,V_t_2,V_D_2] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 27.83/28.13 => ! [B_x] :
% 27.83/28.13 ( ! [B_xa] :
% 27.83/28.13 ( 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)))
% 27.83/28.13 => ! [B_xb] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 27.83/28.13 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 27.83/28.13 => ( B_x != V_t_2
% 27.83/28.13 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_bset_I7_J,axiom,
% 27.83/28.13 ! [V_B_2,V_t_2,V_D_2] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 27.83/28.13 => ! [B_x] :
% 27.83/28.13 ( ! [B_xa] :
% 27.83/28.13 ( 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)))
% 27.83/28.13 => ! [B_xb] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 27.83/28.13 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 27.83/28.13 => 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))) ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_aset_I5_J,axiom,
% 27.83/28.13 ! [V_A_2,V_t_2,V_D_2] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 27.83/28.13 => ! [B_x] :
% 27.83/28.13 ( ! [B_xa] :
% 27.83/28.13 ( 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)))
% 27.83/28.13 => ! [B_xb] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 27.83/28.13 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 27.83/28.13 => 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)) ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_aset_I3_J,axiom,
% 27.83/28.13 ! [V_A_2,V_t_2,V_D_2] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 27.83/28.13 => ( 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))
% 27.83/28.13 => ( ! [B_x] :
% 27.83/28.13 ( 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)))
% 27.83/28.13 => ! [B_xa] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 27.83/28.13 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 27.83/28.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_bset_I6_J,axiom,
% 27.83/28.13 ! [V_t_2,V_B_2,V_D_2] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 27.83/28.13 => ! [B_x] :
% 27.83/28.13 ( ! [B_xa] :
% 27.83/28.13 ( 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)))
% 27.83/28.13 => ! [B_xb] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 27.83/28.13 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 27.83/28.13 => 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)) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_aset_I8_J,axiom,
% 27.83/28.13 ! [V_t_2,V_A_2,V_D_2] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 27.83/28.13 => ! [B_x] :
% 27.83/28.13 ( ! [B_xa] :
% 27.83/28.13 ( 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)))
% 27.83/28.13 => ! [B_xb] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 27.83/28.13 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 27.83/28.13 => 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))) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_periodic__finite__ex,axiom,
% 27.83/28.13 ! [V_Pa_2,V_d_2] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 27.83/28.13 => ( ! [B_x,B_k] :
% 27.83/28.13 ( hBOOL(hAPP(V_Pa_2,B_x))
% 27.83/28.13 <=> 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)))) )
% 27.83/28.13 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 27.83/28.13 <=> ? [B_x] :
% 27.83/28.13 ( 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)))
% 27.83/28.13 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_bset_I5_J,axiom,
% 27.83/28.13 ! [V_t_2,V_B_2,V_D_2] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 27.83/28.13 => ! [B_x] :
% 27.83/28.13 ( ! [B_xa] :
% 27.83/28.13 ( 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)))
% 27.83/28.13 => ! [B_xb] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 27.83/28.13 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 27.83/28.13 => 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)) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_aset_I7_J,axiom,
% 27.83/28.13 ! [V_t_2,V_A_2,V_D_2] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 27.83/28.13 => ! [B_x] :
% 27.83/28.13 ( ! [B_xa] :
% 27.83/28.13 ( 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)))
% 27.83/28.13 => ! [B_xb] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 27.83/28.13 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 27.83/28.13 => 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))) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 27.83/28.13 ! [V_x_2,V_y_2,V_c_2] :
% 27.83/28.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 27.83/28.13 => 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)) )
% 27.83/28.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 27.83/28.13 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 27.83/28.13 => 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))) )
% 27.83/28.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 27.83/28.13 => 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)) ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 27.83/28.13 ! [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))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_card__quotient__disjoint,axiom,
% 27.83/28.13 ! [V_r_2,V_A_2,T_b] :
% 27.83/28.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.13 => ( 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)
% 27.83/28.13 => 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) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_inj__on__empty,axiom,
% 27.83/28.13 ! [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))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_inj__uminus,axiom,
% 27.83/28.13 ! [V_A_2,T_b] :
% 27.83/28.13 ( class_Groups_Oordered__ab__group__add(T_b)
% 27.83/28.13 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_finite__atLeastLessThan,axiom,
% 27.83/28.13 ! [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))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_finite__atMost,axiom,
% 27.83/28.13 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_inj__on__Int,axiom,
% 27.83/28.13 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.13 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 27.83/28.13 => 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)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_subset__inj__on,axiom,
% 27.83/28.13 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 27.83/28.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.13 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_inj__on__imageI2,axiom,
% 27.83/28.13 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] :
% 27.83/28.13 ( 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)
% 27.83/28.13 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_inj__onD,axiom,
% 27.83/28.13 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.13 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 27.83/28.13 => V_x_2 = V_y_2 ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_inj__on__iff,axiom,
% 27.83/28.13 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 27.83/28.13 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 27.83/28.13 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_inj__on__contraD,axiom,
% 27.83/28.13 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.13 => ( V_x_2 != V_y_2
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 27.83/28.13 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_inj__on__id2,axiom,
% 27.83/28.13 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_inj__on__def,axiom,
% 27.83/28.13 ! [V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.13 <=> ! [B_x] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.13 => ! [B_xa] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 27.83/28.13 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 27.83/28.13 => B_x = B_xa ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_inj__on__diff,axiom,
% 27.83/28.13 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.13 => 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)) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_atMost__eq__iff,axiom,
% 27.83/28.13 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.13 ( class_Orderings_Olinorder(T_b)
% 27.83/28.13 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)
% 27.83/28.13 <=> V_x_2 = V_y_2 ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_atLeastLessThan__eq__iff,axiom,
% 27.83/28.13 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 27.83/28.13 ( class_Orderings_Olinorder(T_b)
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 27.83/28.13 => ( 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)
% 27.83/28.13 <=> ( V_a_2 = V_c_2
% 27.83/28.13 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 27.83/28.13 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 27.83/28.13 ( class_Orderings_Olinorder(T_b)
% 27.83/28.13 => ( 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)
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 27.83/28.13 => V_a_2 = V_c_2 ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 27.83/28.13 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 27.83/28.13 ( class_Orderings_Olinorder(T_b)
% 27.83/28.13 => ( 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)
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 27.83/28.13 => V_b_2 = V_d_2 ) ) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_finite__imageD,axiom,
% 27.83/28.13 ! [V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 27.83/28.13 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2)
% 27.83/28.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 27.83/28.13 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.13 ( 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))
% 27.83/28.13 => ( 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)
% 27.83/28.13 <=> V_A_2 = V_B_2 ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_comp__inj__on__iff,axiom,
% 27.83/28.13 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.13 => ( 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))
% 27.83/28.13 <=> 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) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_comp__inj__on,axiom,
% 27.83/28.13 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.13 => ( 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))
% 27.83/28.13 => 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) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_inj__on__imageI,axiom,
% 27.83/28.13 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] :
% 27.83/28.13 ( 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)
% 27.83/28.13 => 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)) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_card__image,axiom,
% 27.83/28.13 ! [V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.13 => 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) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_ex__nat__less__eq,axiom,
% 27.83/28.13 ! [V_Pa_2,V_n_2] :
% 27.83/28.13 ( ? [B_m] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 27.83/28.13 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 27.83/28.13 <=> ? [B_x] :
% 27.83/28.13 ( 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)))
% 27.83/28.13 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_all__nat__less__eq,axiom,
% 27.83/28.13 ! [V_Pa_2,V_n_2] :
% 27.83/28.13 ( ! [B_m] :
% 27.83/28.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 27.83/28.13 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 27.83/28.13 <=> ! [B_x] :
% 27.83/28.13 ( 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)))
% 27.83/28.13 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_inj__on__strict__subset,axiom,
% 27.83/28.13 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 27.83/28.13 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.13 => 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))) ) ) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 27.83/28.13 ! [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) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_atLeastLessThan0,axiom,
% 27.83/28.13 ! [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)) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_card__atLeastLessThan,axiom,
% 27.83/28.13 ! [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) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_image__Suc__atLeastLessThan,axiom,
% 27.83/28.13 ! [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)) ).
% 27.83/28.13
% 27.83/28.13 fof(fact_atLeastLessThan__empty,axiom,
% 27.83/28.13 ! [V_a_2,V_b_2,T_b] :
% 27.83/28.13 ( class_Orderings_Oorder(T_b)
% 27.83/28.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 27.83/28.14 => 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)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 27.83/28.14 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.14 ( class_Orderings_Oorder(T_b)
% 27.83/28.14 => ( 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)
% 27.83/28.14 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_atLeastLessThan__empty__iff,axiom,
% 27.83/28.14 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.14 ( class_Orderings_Oorder(T_b)
% 27.83/28.14 => ( 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))
% 27.83/28.14 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_atLeastLessThan__subset__iff,axiom,
% 27.83/28.14 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( 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)))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 27.83/28.14 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 27.83/28.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__un_I17_J,axiom,
% 27.83/28.14 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 27.83/28.14 => 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) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__diff,axiom,
% 27.83/28.14 ! [V_m_2,V_n_2,V_i_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_n_2))
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__int_I11_J,axiom,
% 27.83/28.14 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Oorder(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 27.83/28.14 ! [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) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_endo__inj__surj,axiom,
% 27.83/28.14 ! [V_f_2,V_A_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( 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))
% 27.83/28.14 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2)
% 27.83/28.14 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_finite__surj__inj,axiom,
% 27.83/28.14 ! [V_f_2,V_A_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( 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)))
% 27.83/28.14 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_atLeast0AtMost,axiom,
% 27.83/28.14 ! [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) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_image__add__atLeastLessThan,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inj__on__image__Int,axiom,
% 27.83/28.14 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 27.83/28.14 => 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)) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inj__on__iff__eq__card,axiom,
% 27.83/28.14 ! [V_f_2,T_c,V_A_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.14 <=> 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_eq__card__imp__inj__on,axiom,
% 27.83/28.14 ! [V_f_2,T_c,V_A_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( 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)
% 27.83/28.14 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inj__on__image__set__diff,axiom,
% 27.83/28.14 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 27.83/28.14 => 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)) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_pigeonhole,axiom,
% 27.83/28.14 ! [V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( 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)))
% 27.83/28.14 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inj__on__fun__updI,axiom,
% 27.83/28.14 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.14 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setprod__reindex,axiom,
% 27.83/28.14 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__mult(T_d)
% 27.83/28.14 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setprod__reindex__cong,axiom,
% 27.83/28.14 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__mult(T_d)
% 27.83/28.14 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.14 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 27.83/28.14 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)
% 27.83/28.14 => 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) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_card__atMost,axiom,
% 27.83/28.14 ! [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) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_atMost__Suc,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_atMost__iff,axiom,
% 27.83/28.14 ! [V_k_2,V_i_2,T_b] :
% 27.83/28.14 ( class_Orderings_Oord(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)))
% 27.83/28.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_atMost__subset__iff,axiom,
% 27.83/28.14 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.14 ( class_Orderings_Oorder(T_b)
% 27.83/28.14 => ( 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)))
% 27.83/28.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_UN__le__add__shift,axiom,
% 27.83/28.14 ! [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) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_atLeastLessThan__singleton,axiom,
% 27.83/28.14 ! [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))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_card__bij__eq,axiom,
% 27.83/28.14 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.14 => ( 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))
% 27.83/28.14 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 27.83/28.14 => ( 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))
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 27.83/28.14 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__un_I21_J,axiom,
% 27.83/28.14 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 27.83/28.14 => 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) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setprod_Oreindex,axiom,
% 27.83/28.14 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 27.83/28.14 => 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) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_atLeastLessThan__add__Un,axiom,
% 27.83/28.14 ! [V_k_2,V_j_2,V_i_2] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 27.83/28.14 => 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))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__int_I15_J,axiom,
% 27.83/28.14 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Oorder(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Int__atLeastLessThan,axiom,
% 27.83/28.14 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_subset__card__intvl__is__intvl,axiom,
% 27.83/28.14 ! [V_k_2,V_A_2] :
% 27.83/28.14 ( 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)))))
% 27.83/28.14 => 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))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__int_I9_J,axiom,
% 27.83/28.14 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Oorder(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_image__uminus__atLeastLessThan,axiom,
% 27.83/28.14 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 27.83/28.14 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_atLeastLessThanSuc,axiom,
% 27.83/28.14 ! [V_n_2,V_m_2] :
% 27.83/28.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.14 => 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)) )
% 27.83/28.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.14 => 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)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_atMost__0,axiom,
% 27.83/28.14 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))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inj__on__insert,axiom,
% 27.83/28.14 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))
% 27.83/28.14 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.14 & ~ 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))))))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inj__on__Un,axiom,
% 27.83/28.14 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( 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))
% 27.83/28.14 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.14 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 27.83/28.14 & 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)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inj__on__iff__card__le,axiom,
% 27.83/28.14 ! [V_B_2,T_c,V_A_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 27.83/28.14 => ( ? [B_f] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 27.83/28.14 & 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)) )
% 27.83/28.14 <=> 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))) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_card__inj__on__le,axiom,
% 27.83/28.14 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.14 => ( 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))
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 27.83/28.14 => 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))) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Int__atLeastAtMostL1,axiom,
% 27.83/28.14 ! [V_d_2,V_b_2,V_a_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Int__atLeastAtMostR1,axiom,
% 27.83/28.14 ! [V_d_2,V_c_2,V_b_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fold__image__reindex,axiom,
% 27.83/28.14 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] :
% 27.83/28.14 ( class_Groups_Oab__semigroup__mult(T_d)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2)
% 27.83/28.14 => 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) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__un_I9_J,axiom,
% 27.83/28.14 ! [V_u_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__int_I3_J,axiom,
% 27.83/28.14 ! [V_u_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Oorder(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__int_I1_J,axiom,
% 27.83/28.14 ! [V_u_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Oorder(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__un_I15_J,axiom,
% 27.83/28.14 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 27.83/28.14 => 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) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_quotient__diff1,axiom,
% 27.83/28.14 ! [V_a_2,V_A_2,V_r_2,T_b] :
% 27.83/28.14 ( 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)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.14 => 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)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_UN__le__eq__Un0,axiom,
% 27.83/28.14 ! [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))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__un_I6_J,axiom,
% 27.83/28.14 ! [V_u_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__un_I3_J,axiom,
% 27.83/28.14 ! [V_u_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__un_I18_J,axiom,
% 27.83/28.14 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 27.83/28.14 => 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) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inj__on__iff__surj,axiom,
% 27.83/28.14 ! [V_A_H_2,T_c,T_b,V_A_2] :
% 27.83/28.14 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => ( ? [B_f] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 27.83/28.14 & 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)) )
% 27.83/28.14 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_folding__image_Oreindex,axiom,
% 27.83/28.14 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 27.83/28.14 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2)
% 27.83/28.14 => 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) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_the__inv__into__comp,axiom,
% 27.83/28.14 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 27.83/28.14 ( 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))
% 27.83/28.14 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 27.83/28.14 => ( 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))))
% 27.83/28.14 => 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) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_finite__atLeastLessThan__int,axiom,
% 27.83/28.14 ! [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))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inj__Suc,axiom,
% 27.83/28.14 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inj__on__add__nat,axiom,
% 27.83/28.14 ! [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) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_swap__inj__on,axiom,
% 27.83/28.14 ! [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) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 27.83/28.14 ! [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))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_folding__image_Odistrib,axiom,
% 27.83/28.14 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 27.83/28.14 => 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)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_the__inv__into__f__f,axiom,
% 27.83/28.14 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.14 => 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 ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_the__inv__into__f__eq,axiom,
% 27.83/28.14 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.14 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.14 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inj__on__the__inv__into,axiom,
% 27.83/28.14 ! [V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_the__inv__into__onto,axiom,
% 27.83/28.14 ! [V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.14 => 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 ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 27.83/28.14 ! [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) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_image__add__int__atLeastLessThan,axiom,
% 27.83/28.14 ! [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) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 27.83/28.14 ! [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) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_card__atLeastLessThan__int,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 27.83/28.14 ! [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) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_folding__image_Oeq__fold,axiom,
% 27.83/28.14 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_f__the__inv__into__f,axiom,
% 27.83/28.14 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 27.83/28.14 => 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 ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_the__inv__into__into,axiom,
% 27.83/28.14 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.14 => 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)) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_strong__setprod__reindex__cong,axiom,
% 27.83/28.14 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__mult(T_d)
% 27.83/28.14 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.14 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 27.83/28.14 => ( ! [B_x] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.14 => 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) )
% 27.83/28.14 => 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) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__un_I7_J,axiom,
% 27.83/28.14 ! [V_u_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 27.83/28.14 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 27.83/28.14 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.14 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => 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)) ) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_finite__lessThan,axiom,
% 27.83/28.14 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_card__lessThan,axiom,
% 27.83/28.14 ! [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 ).
% 27.83/28.14
% 27.83/28.14 fof(fact_folding__one__idem_Oidem,axiom,
% 27.83/28.14 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 27.83/28.14 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 27.83/28.14 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_lessThan__eq__iff,axiom,
% 27.83/28.14 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)
% 27.83/28.14 <=> V_x_2 = V_y_2 ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_atLeast0LessThan,axiom,
% 27.83/28.14 ! [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) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_lessThan__0,axiom,
% 27.83/28.14 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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_lessThan__Suc__atMost,axiom,
% 27.83/28.14 ! [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) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_lessThan__Suc,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_lessThan__iff,axiom,
% 27.83/28.14 ! [V_k_2,V_i_2,T_b] :
% 27.83/28.14 ( class_Orderings_Oord(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)))
% 27.83/28.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_lessThan__subset__iff,axiom,
% 27.83/28.14 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( 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)))
% 27.83/28.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_lessThan__strict__subset__iff,axiom,
% 27.83/28.14 ! [V_n_2,V_m_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( 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)))
% 27.83/28.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_n_2)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_folding__one__idem_Oin__idem,axiom,
% 27.83/28.14 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 27.83/28.14 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.14 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_single__Diff__lessThan,axiom,
% 27.83/28.14 ! [V_k_2,T_b] :
% 27.83/28.14 ( class_Orderings_Oorder(T_b)
% 27.83/28.14 => 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))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__un_I8_J,axiom,
% 27.83/28.14 ! [V_u_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__int_I4_J,axiom,
% 27.83/28.14 ! [V_u_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Oorder(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__int_I2_J,axiom,
% 27.83/28.14 ! [V_u_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Oorder(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 27.83/28.14 ! [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))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__un_I2_J,axiom,
% 27.83/28.14 ! [V_u_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 27.83/28.14 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 27.83/28.14 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => 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)) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__un_I10_J,axiom,
% 27.83/28.14 ! [V_u_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 27.83/28.14 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 27.83/28.14 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 27.83/28.14 => 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) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 27.83/28.14 ! [V_u_2] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 27.83/28.14 => 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))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_arith__series__int,axiom,
% 27.83/28.14 ! [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)))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_finite__subset__induct,axiom,
% 27.83/28.14 ! [V_Pa_2,V_A_2,V_F_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2))
% 27.83/28.14 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 27.83/28.14 => ( ! [B_a,B_F] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 27.83/28.14 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F))
% 27.83/28.14 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 27.83/28.14 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) )
% 27.83/28.14 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_atMost__Int__atLeast,axiom,
% 27.83/28.14 ! [V_n_2,T_b] :
% 27.83/28.14 ( class_Orderings_Oorder(T_b)
% 27.83/28.14 => 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))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__abs,axiom,
% 27.83/28.14 ! [V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 27.83/28.14 => 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))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__abs__ge__zero,axiom,
% 27.83/28.14 ! [V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 27.83/28.14 => 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))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_atLeast__eq__iff,axiom,
% 27.83/28.14 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)
% 27.83/28.14 <=> V_x_2 = V_y_2 ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__negf,axiom,
% 27.83/28.14 ! [V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( class_Groups_Oab__group__add(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__commute,axiom,
% 27.83/28.14 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_of__nat__setsum,axiom,
% 27.83/28.14 ! [V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( class_Rings_Osemiring__1(T_b)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_of__int__setsum,axiom,
% 27.83/28.14 ! [V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( class_Rings_Oring__1(T_b)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__0,axiom,
% 27.83/28.14 ! [V_A_2,T_c,T_b] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__right__distrib,axiom,
% 27.83/28.14 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] :
% 27.83/28.14 ( class_Rings_Osemiring__0(T_b)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__left__distrib,axiom,
% 27.83/28.14 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( class_Rings_Osemiring__0(T_b)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__product,axiom,
% 27.83/28.14 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( class_Rings_Osemiring__0(T_b)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__addf,axiom,
% 27.83/28.14 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_abs__setsum__abs,axiom,
% 27.83/28.14 ! [V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__divide__distrib,axiom,
% 27.83/28.14 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( class_Fields_Ofield(T_b)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__subtractf,axiom,
% 27.83/28.14 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( class_Groups_Oab__group__add(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum_Oempty,axiom,
% 27.83/28.14 ! [V_g_2,T_c,T_b] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__empty,axiom,
% 27.83/28.14 ! [V_f_2,T_c,T_b] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__infinite,axiom,
% 27.83/28.14 ! [V_f_2,V_A_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.14 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum_Oinfinite,axiom,
% 27.83/28.14 ! [V_g_2,V_A_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.14 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum_Odistrib,axiom,
% 27.83/28.14 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => 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)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__lessThan__Suc,axiom,
% 27.83/28.14 ! [V_n_2,V_f_2,T_b] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 27.83/28.14 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 27.83/28.14 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 27.83/28.14 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 27.83/28.14 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__reindex,axiom,
% 27.83/28.14 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_d)
% 27.83/28.14 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__add__nat__ivl,axiom,
% 27.83/28.14 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 27.83/28.14 => 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)) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__diff__nat__ivl,axiom,
% 27.83/28.14 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 27.83/28.14 ( class_Groups_Oab__group__add(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 27.83/28.14 => 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)) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_atLeast__iff,axiom,
% 27.83/28.14 ! [V_k_2,V_i_2,T_b] :
% 27.83/28.14 ( class_Orderings_Oord(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)))
% 27.83/28.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__delta_H,axiom,
% 27.83/28.14 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 27.83/28.14 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 27.83/28.14 => 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) )
% 27.83/28.14 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 27.83/28.14 => 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) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__delta,axiom,
% 27.83/28.14 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 27.83/28.14 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 27.83/28.14 => 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) )
% 27.83/28.14 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 27.83/28.14 => 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) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_atLeast__subset__iff,axiom,
% 27.83/28.14 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.14 ( class_Orderings_Oorder(T_b)
% 27.83/28.14 => ( 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)))
% 27.83/28.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__constant,axiom,
% 27.83/28.14 ! [V_A_2,V_y_2,T_c,T_b] :
% 27.83/28.14 ( class_Rings_Osemiring__1(T_b)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__atMost__Suc,axiom,
% 27.83/28.14 ! [V_n_2,V_f_2,T_b] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.14 => 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))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Compl__atLeast,axiom,
% 27.83/28.14 ! [V_k_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Compl__lessThan,axiom,
% 27.83/28.14 ! [V_k_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum_Oinsert,axiom,
% 27.83/28.14 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.14 => 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)) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__insert,axiom,
% 27.83/28.14 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 27.83/28.14 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2))
% 27.83/28.14 => 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)) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__Un__Int,axiom,
% 27.83/28.14 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.14 => 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)) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__diff,axiom,
% 27.83/28.14 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Oab__group__add(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 27.83/28.14 => 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)) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum_Oreindex,axiom,
% 27.83/28.14 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 27.83/28.14 => 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) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum_Oeq__fold,axiom,
% 27.83/28.14 ! [V_g_2,V_A_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum_OF__eq,axiom,
% 27.83/28.14 ! [V_g_2,V_A_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.14 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => 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) )
% 27.83/28.14 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => 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) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 27.83/28.14 ! [V_k_2,V_f_2,T_b] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.14 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b)
% 27.83/28.14 => 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)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__head__upt__Suc,axiom,
% 27.83/28.14 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.14 => 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))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__head__Suc,axiom,
% 27.83/28.14 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.14 => 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))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__restrict__set,axiom,
% 27.83/28.14 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum_Oinsert__remove,axiom,
% 27.83/28.14 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => 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)))))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__Un__disjoint,axiom,
% 27.83/28.14 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.14 => ( 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))
% 27.83/28.14 => 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)) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__Un,axiom,
% 27.83/28.14 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Oab__group__add(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.14 => 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_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))) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__un_I14_J,axiom,
% 27.83/28.14 ! [V_u_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__int_I8_J,axiom,
% 27.83/28.14 ! [V_u_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Oorder(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Int__atLeastAtMostR2,axiom,
% 27.83/28.14 ! [V_d_2,V_c_2,V_a_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Int__atLeastAtMostL2,axiom,
% 27.83/28.14 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__op__ivl__Suc,axiom,
% 27.83/28.14 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 27.83/28.14 => 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) )
% 27.83/28.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 27.83/28.14 => 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)) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__cl__ivl__Suc,axiom,
% 27.83/28.14 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 27.83/28.14 => 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) )
% 27.83/28.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 27.83/28.14 => 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))) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__head,axiom,
% 27.83/28.14 ! [V_Pa_2,V_n_2,V_m_2,T_b] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.14 => 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))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__int_I6_J,axiom,
% 27.83/28.14 ! [V_u_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Oorder(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_image__uminus__atMost,axiom,
% 27.83/28.14 ! [V_x_2,T_b] :
% 27.83/28.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_image__uminus__atLeast,axiom,
% 27.83/28.14 ! [V_x_2,T_b] :
% 27.83/28.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_atLeast__Suc,axiom,
% 27.83/28.14 ! [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)))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__ub__add__nat,axiom,
% 27.83/28.14 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_b] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.14 => ( 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))))
% 27.83/28.14 => 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)))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__diff1_H,axiom,
% 27.83/28.14 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.14 => 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)))))) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum_Oremove,axiom,
% 27.83/28.14 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.14 => 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)))))) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__diff1__ring,axiom,
% 27.83/28.14 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 27.83/28.14 ( class_Rings_Oring(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.14 => 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)) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__diff1,axiom,
% 27.83/28.14 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Oab__group__add(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.14 => 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)) )
% 27.83/28.14 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.14 => 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) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_arith__series__general,axiom,
% 27.83/28.14 ! [V_n_2,V_d_2,V_a_2,T_b] :
% 27.83/28.14 ( class_Rings_Ocomm__semiring__1(T_b)
% 27.83/28.14 => 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)))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_geometric__sum,axiom,
% 27.83/28.14 ! [V_n_2,V_x_2,T_b] :
% 27.83/28.14 ( class_Fields_Ofield(T_b)
% 27.83/28.14 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b)
% 27.83/28.14 => 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))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_gauss__sum,axiom,
% 27.83/28.14 ! [V_n_2,T_b] :
% 27.83/28.14 ( class_Rings_Ocomm__semiring__1(T_b)
% 27.83/28.14 => 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))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__natinterval__difff,axiom,
% 27.83/28.14 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 27.83/28.14 ( class_Groups_Oab__group__add(T_b)
% 27.83/28.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.14 => 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)))) )
% 27.83/28.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.14 => 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) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__mono2,axiom,
% 27.83/28.14 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Oordered__comm__monoid__add(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.14 => ( ! [B_b] :
% 27.83/28.14 ( 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)))
% 27.83/28.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) )
% 27.83/28.14 => 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))) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__bounded,axiom,
% 27.83/28.14 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] :
% 27.83/28.14 ( ( class_Groups_Oordered__ab__semigroup__add(T_c)
% 27.83/28.14 & class_Rings_Osemiring__1(T_c) )
% 27.83/28.14 => ( ! [B_i] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2))
% 27.83/28.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) )
% 27.83/28.14 => 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_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))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__Un__zero,axiom,
% 27.83/28.14 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 27.83/28.14 => ( ! [B_x] :
% 27.83/28.14 ( 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)))
% 27.83/28.14 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 27.83/28.14 => 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)) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__eq__0__iff,axiom,
% 27.83/28.14 ! [V_f_2,V_F_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 27.83/28.14 => ( 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)
% 27.83/28.14 <=> ! [B_x] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 27.83/28.14 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_card__eq__setsum,axiom,
% 27.83/28.14 ! [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) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_int__setsum,axiom,
% 27.83/28.14 ! [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) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__eq__Suc0__iff,axiom,
% 27.83/28.14 ! [V_f_2,V_A_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( 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))
% 27.83/28.14 <=> ? [B_x] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.14 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 27.83/28.14 & ! [B_xa] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 27.83/28.14 => ( B_x != B_xa
% 27.83/28.14 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__eq__1__iff,axiom,
% 27.83/28.14 ! [V_f_2,V_A_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( 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)
% 27.83/28.14 <=> ? [B_x] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.14 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 27.83/28.14 & ! [B_xa] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 27.83/28.14 => ( B_x != B_xa
% 27.83/28.14 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 27.83/28.14 ! [V_k_2,V_f_2] :
% 27.83/28.14 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__diff__nat,axiom,
% 27.83/28.14 ! [V_f_2,V_A_2,V_B_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 27.83/28.14 => 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)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 27.83/28.14 ! [V_A_2,V_f_2,T_b] :
% 27.83/28.14 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.14 & class_Groups_Ocomm__monoid__mult(T_b) )
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__diff1__nat,axiom,
% 27.83/28.14 ! [V_f_2,V_A_2,V_a_2,T_b] :
% 27.83/28.14 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.14 => 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)) )
% 27.83/28.14 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__Un__nat,axiom,
% 27.83/28.14 ! [V_f_2,V_B_2,V_A_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.14 => 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))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 27.83/28.14 ! [V_f_2,V_A_2,T_b] :
% 27.83/28.14 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.14 & class_Groups_Ocomm__monoid__mult(T_b) )
% 27.83/28.14 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 27.83/28.14 => 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)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_arith__series__nat,axiom,
% 27.83/28.14 ! [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)))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 27.83/28.14 ! [V_f_2,V_A_2,T_b] :
% 27.83/28.14 ( ! [B_x] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.14 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_greaterThan__Suc,axiom,
% 27.83/28.14 ! [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)))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 27.83/28.14 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.14 => ( ! [B_x] :
% 27.83/28.14 ( 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)))
% 27.83/28.14 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 27.83/28.14 => 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)) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_greaterThan__eq__iff,axiom,
% 27.83/28.14 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)
% 27.83/28.14 <=> V_x_2 = V_y_2 ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_greaterThan__iff,axiom,
% 27.83/28.14 ! [V_k_2,V_i_2,T_b] :
% 27.83/28.14 ( class_Orderings_Oord(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)))
% 27.83/28.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_greaterThan__subset__iff,axiom,
% 27.83/28.14 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( 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)))
% 27.83/28.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Compl__atMost,axiom,
% 27.83/28.14 ! [V_k_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Compl__greaterThan,axiom,
% 27.83/28.14 ! [V_k_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_atLeast__Suc__greaterThan,axiom,
% 27.83/28.14 ! [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) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__int_I7_J,axiom,
% 27.83/28.14 ! [V_u_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Oorder(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__un_I11_J,axiom,
% 27.83/28.14 ! [V_u_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_image__uminus__lessThan,axiom,
% 27.83/28.14 ! [V_x_2,T_b] :
% 27.83/28.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_image__uminus__greaterThan,axiom,
% 27.83/28.14 ! [V_x_2,T_b] :
% 27.83/28.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__int_I5_J,axiom,
% 27.83/28.14 ! [V_u_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Oorder(T_b)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__un_I1_J,axiom,
% 27.83/28.14 ! [V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__un_I13_J,axiom,
% 27.83/28.14 ! [V_u_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_ivl__disj__un_I12_J,axiom,
% 27.83/28.14 ! [V_u_2,V_l_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__mono3,axiom,
% 27.83/28.14 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 27.83/28.14 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.14 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.14 => ( ! [B_x] :
% 27.83/28.14 ( 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)))
% 27.83/28.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 27.83/28.14 => 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))) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__reindex__nonzero,axiom,
% 27.83/28.14 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_d)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 27.83/28.14 => ( ! [B_x] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 27.83/28.14 => ! [B_y] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2))
% 27.83/28.14 => ( B_x != B_y
% 27.83/28.14 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 27.83/28.14 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) )
% 27.83/28.14 => 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) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__nonneg__0,axiom,
% 27.83/28.14 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Oordered__ab__group__add(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 27.83/28.14 => ( ! [B_i] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 27.83/28.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 27.83/28.14 => ( 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)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 27.83/28.14 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__nonneg__leq__bound,axiom,
% 27.83/28.14 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Oordered__ab__group__add(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 27.83/28.14 => ( ! [B_i] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 27.83/28.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 27.83/28.14 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 27.83/28.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_sum__diff__distrib,axiom,
% 27.83/28.14 ! [V_n_2,V_Pa_2,V_Qa_2] :
% 27.83/28.14 ( ! [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)))
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__mono__zero__left,axiom,
% 27.83/28.14 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 27.83/28.14 => ( ! [B_x] :
% 27.83/28.14 ( 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)))
% 27.83/28.14 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 27.83/28.14 => 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) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__mono__zero__right,axiom,
% 27.83/28.14 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 27.83/28.14 => ( ! [B_x] :
% 27.83/28.14 ( 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)))
% 27.83/28.14 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 27.83/28.14 => 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) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__strict__mono,axiom,
% 27.83/28.14 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 27.83/28.14 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.14 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) )
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => ( ! [B_x] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 27.83/28.14 => 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))) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 27.83/28.14 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 27.83/28.14 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.14 & class_Groups_Ocomm__monoid__mult(T_b) )
% 27.83/28.14 => ( V_A_2 = V_B_2
% 27.83/28.14 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 27.83/28.14 => ( ! [B_x] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 27.83/28.14 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 27.83/28.14 => 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) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fold__graph__permute__diff,axiom,
% 27.83/28.14 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] :
% 27.83/28.14 ( class_Groups_Oab__semigroup__mult(T_b)
% 27.83/28.14 => ( 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))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.14 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 27.83/28.14 => 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)) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_compl__unique,axiom,
% 27.83/28.14 ! [V_y,V_x,T_a] :
% 27.83/28.14 ( class_Lattices_Oboolean__algebra(T_a)
% 27.83/28.14 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 27.83/28.14 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 27.83/28.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 27.83/28.14 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 27.83/28.14 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.14 & class_Groups_Ocomm__monoid__mult(T_b) )
% 27.83/28.14 => ( V_A_2 = V_B_2
% 27.83/28.14 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 27.83/28.14 => ( ! [B_x] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 27.83/28.14 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 27.83/28.14 => 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) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_UNIV__I,axiom,
% 27.83/28.14 ! [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)))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_UN__lessThan__UNIV,axiom,
% 27.83/28.14 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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_injD,axiom,
% 27.83/28.14 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.14 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 27.83/28.14 => V_x_2 = V_y_2 ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inj__eq,axiom,
% 27.83/28.14 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.14 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 27.83/28.14 <=> V_x_2 = V_y_2 ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inj__int,axiom,
% 27.83/28.14 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))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_range__composition,axiom,
% 27.83/28.14 ! [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)))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Pow__UNIV,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_card__UNIV__unit,axiom,
% 27.83/28.14 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) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_top__apply,axiom,
% 27.83/28.14 ! [V_x_2,T_c,T_b] :
% 27.83/28.14 ( class_Orderings_Otop(T_b)
% 27.83/28.14 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_equiv__intrel,axiom,
% 27.83/28.14 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) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_iso__tuple__UNIV__I,axiom,
% 27.83/28.14 ! [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)))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fold__graph_OemptyI,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_empty__fold__graphE,axiom,
% 27.83/28.14 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( 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))
% 27.83/28.14 => V_x_2 = V_z_2 ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_UNIV__not__empty,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_UNIV__Plus__UNIV,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_top__greatest,axiom,
% 27.83/28.14 ! [V_x,T_a] :
% 27.83/28.14 ( class_Orderings_Otop(T_a)
% 27.83/28.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_infinite__UNIV__int,axiom,
% 27.83/28.14 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_infinite__UNIV__nat,axiom,
% 27.83/28.14 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_finite__UNIV,axiom,
% 27.83/28.14 ! [T_b] :
% 27.83/28.14 ( class_Finite__Set_Ofinite(T_b)
% 27.83/28.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_finite__option__UNIV,axiom,
% 27.83/28.14 ! [T_b] :
% 27.83/28.14 ( 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))))
% 27.83/28.14 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_finite__Plus__UNIV__iff,axiom,
% 27.83/28.14 ! [T_c,T_b] :
% 27.83/28.14 ( 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))))
% 27.83/28.14 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 27.83/28.14 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_finite__fun__UNIVD2,axiom,
% 27.83/28.14 ! [T_c,T_b] :
% 27.83/28.14 ( 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))))
% 27.83/28.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_finite__Prod__UNIV,axiom,
% 27.83/28.14 ! [T_c,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 27.83/28.14 => 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)))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fold__graph__imp__finite,axiom,
% 27.83/28.14 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 27.83/28.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_subset__UNIV,axiom,
% 27.83/28.14 ! [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)))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Un__UNIV__left,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Un__UNIV__right,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Int__UNIV__left,axiom,
% 27.83/28.14 ! [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 ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Int__UNIV__right,axiom,
% 27.83/28.14 ! [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 ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inf__eq__top__iff,axiom,
% 27.83/28.14 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.14 ( class_Lattices_Obounded__lattice__top(T_b)
% 27.83/28.14 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b)
% 27.83/28.14 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b)
% 27.83/28.14 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inf__top__right,axiom,
% 27.83/28.14 ! [V_x,T_a] :
% 27.83/28.14 ( class_Lattices_Obounded__lattice__top(T_a)
% 27.83/28.14 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inf__top__left,axiom,
% 27.83/28.14 ! [V_x,T_a] :
% 27.83/28.14 ( class_Lattices_Obounded__lattice__top(T_a)
% 27.83/28.14 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_sup__top__right,axiom,
% 27.83/28.14 ! [V_x,T_a] :
% 27.83/28.14 ( class_Lattices_Obounded__lattice__top(T_a)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_sup__top__left,axiom,
% 27.83/28.14 ! [V_x,T_a] :
% 27.83/28.14 ( class_Lattices_Obounded__lattice__top(T_a)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_UN__atMost__UNIV,axiom,
% 27.83/28.14 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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_range__eqI,axiom,
% 27.83/28.14 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] :
% 27.83/28.14 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 27.83/28.14 => 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))))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_rangeI,axiom,
% 27.83/28.14 ! [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))))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_UN__atLeast__UNIV,axiom,
% 27.83/28.14 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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Diff__UNIV,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_comp__surj,axiom,
% 27.83/28.14 ! [V_g_2,T_d,V_f_2,T_b,T_c] :
% 27.83/28.14 ( 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))
% 27.83/28.14 => ( 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))
% 27.83/28.14 => 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)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 27.83/28.14 ! [V_A_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 27.83/28.14 => ( 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)))
% 27.83/28.14 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inj__image__eq__iff,axiom,
% 27.83/28.14 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.14 => ( 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)
% 27.83/28.14 <=> V_A_2 = V_B_2 ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inj__comp,axiom,
% 27.83/28.14 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.14 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 27.83/28.14 => 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))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Compl__UNIV__eq,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Compl__empty__eq,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_finite__compl,axiom,
% 27.83/28.14 ! [V_A_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 27.83/28.14 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Compl__partition,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Compl__partition2,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 27.83/28.14 ! [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) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fold__graph_OinsertI,axiom,
% 27.83/28.14 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 27.83/28.14 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 27.83/28.14 => 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))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_SUP__UN__eq,axiom,
% 27.83/28.14 ! [V_x_2,V_r_2,T_c,T_b] :
% 27.83/28.14 ( 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))
% 27.83/28.14 <=> 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))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_finite__range__imageI,axiom,
% 27.83/28.14 ! [V_f_2,T_d,V_g_2,T_c,T_b] :
% 27.83/28.14 ( 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)))))
% 27.83/28.14 => 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))))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_the__inv__f__f,axiom,
% 27.83/28.14 ! [V_x_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.14 => 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 ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_finite__fun__UNIVD1,axiom,
% 27.83/28.14 ! [T_c,T_b] :
% 27.83/28.14 ( 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))))
% 27.83/28.14 => ( 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))
% 27.83/28.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inj__of__nat,axiom,
% 27.83/28.14 ! [T_b] :
% 27.83/28.14 ( class_Nat_Osemiring__char__0(T_b)
% 27.83/28.14 => 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))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_atLeast__0,axiom,
% 27.83/28.14 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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inj__fun,axiom,
% 27.83/28.14 ! [T_d,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.14 => 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))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_compl__top__eq,axiom,
% 27.83/28.14 ! [T_a] :
% 27.83/28.14 ( class_Lattices_Oboolean__algebra(T_a)
% 27.83/28.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_compl__bot__eq,axiom,
% 27.83/28.14 ! [T_a] :
% 27.83/28.14 ( class_Lattices_Oboolean__algebra(T_a)
% 27.83/28.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_compl__sup__top,axiom,
% 27.83/28.14 ! [V_x,T_a] :
% 27.83/28.14 ( class_Lattices_Oboolean__algebra(T_a)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_sup__compl__top,axiom,
% 27.83/28.14 ! [V_x,T_a] :
% 27.83/28.14 ( class_Lattices_Oboolean__algebra(T_a)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_range__ex1__eq,axiom,
% 27.83/28.14 ! [V_b_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.14 => ( 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)))))
% 27.83/28.14 <=> ? [B_x] :
% 27.83/28.14 ( V_b_2 = hAPP(V_f_2,B_x)
% 27.83/28.14 & ! [B_y] :
% 27.83/28.14 ( V_b_2 = hAPP(V_f_2,B_y)
% 27.83/28.14 => B_y = B_x ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inj__image__mem__iff,axiom,
% 27.83/28.14 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.14 => ( 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)))
% 27.83/28.14 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_finite__UNIV__surj__inj,axiom,
% 27.83/28.14 ! [V_f_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 27.83/28.14 => ( 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))
% 27.83/28.14 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_finite__UNIV__inj__surj,axiom,
% 27.83/28.14 ! [V_f_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 27.83/28.14 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.14 => 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)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inj__image__subset__iff,axiom,
% 27.83/28.14 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.14 => ( 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)))
% 27.83/28.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_image__Int,axiom,
% 27.83/28.14 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_image__set__diff,axiom,
% 27.83/28.14 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_surj__Compl__image__subset,axiom,
% 27.83/28.14 ! [V_A_2,V_f_2,T_b,T_c] :
% 27.83/28.14 ( 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))
% 27.83/28.14 => 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)))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fold__graph__insert__swap,axiom,
% 27.83/28.14 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] :
% 27.83/28.14 ( class_Groups_Oab__semigroup__mult(T_b)
% 27.83/28.14 => ( 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))
% 27.83/28.14 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 27.83/28.14 => 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))) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_UN__UN__finite__eq,axiom,
% 27.83/28.14 ! [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) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inj__singleton,axiom,
% 27.83/28.14 ! [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))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_finite__UNIV__card__ge__0,axiom,
% 27.83/28.14 ! [T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 27.83/28.14 => 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),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_card__UNIV__bool,axiom,
% 27.83/28.14 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))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inj__image__Compl__subset,axiom,
% 27.83/28.14 ! [V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.14 => 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)))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Diff1__fold__graph,axiom,
% 27.83/28.14 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( 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))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.14 => 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))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_greaterThan__0,axiom,
% 27.83/28.14 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))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_SUP__UN__eq2,axiom,
% 27.83/28.14 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 27.83/28.14 ( 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))
% 27.83/28.14 <=> 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))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fold1Set_Ointros,axiom,
% 27.83/28.14 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2))
% 27.83/28.14 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.14 => 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)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_UN__finite2__subset,axiom,
% 27.83/28.14 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 27.83/28.14 ( ! [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)))
% 27.83/28.14 => 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))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_UN__finite2__eq,axiom,
% 27.83/28.14 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 27.83/28.14 ( ! [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)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_top1I,axiom,
% 27.83/28.14 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_empty__fold1SetE,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fold1Set__nonempty,axiom,
% 27.83/28.14 ! [V_x_2,V_A_2,V_f_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2))
% 27.83/28.14 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fold1Set__sing,axiom,
% 27.83/28.14 ! [V_b_2,V_a_2,V_f_2,T_b] :
% 27.83/28.14 ( 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))
% 27.83/28.14 <=> V_a_2 = V_b_2 ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Integ__def,axiom,
% 27.83/28.14 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) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_UN__finite__subset,axiom,
% 27.83/28.14 ! [V_C_2,V_A_2,T_b] :
% 27.83/28.14 ( ! [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))
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_equivp__equiv,axiom,
% 27.83/28.14 ! [V_A_2,T_b] :
% 27.83/28.14 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 27.83/28.14 <=> 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_identity__equivp,axiom,
% 27.83/28.14 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_equivp__def,axiom,
% 27.83/28.14 ! [V_R_2,T_b] :
% 27.83/28.14 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 27.83/28.14 <=> ! [B_x,B_y] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 27.83/28.14 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_equivp__reflp,axiom,
% 27.83/28.14 ! [V_x_2,V_R_2,T_b] :
% 27.83/28.14 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 27.83/28.14 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_equivp__symp,axiom,
% 27.83/28.14 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 27.83/28.14 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 27.83/28.14 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_equivp__transp,axiom,
% 27.83/28.14 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 27.83/28.14 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 27.83/28.14 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Rep__Integ,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_type__definition__Integ,axiom,
% 27.83/28.14 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) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_max__extp_Oequations,axiom,
% 27.83/28.14 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 27.83/28.14 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 27.83/28.14 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 27.83/28.14 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 27.83/28.14 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 & ! [B_x] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 27.83/28.14 => ? [B_xa] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 27.83/28.14 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_max__ext_Ointros,axiom,
% 27.83/28.14 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 27.83/28.14 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => ( ! [B_x] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 27.83/28.14 => ? [B_xa] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 27.83/28.14 & 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)) ) )
% 27.83/28.14 => 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))) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_type__definition_ORep__range,axiom,
% 27.83/28.14 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 27.83/28.14 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 27.83/28.14 => 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 ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_type__definition_OAbs__image,axiom,
% 27.83/28.14 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 27.83/28.14 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_type__definition_ORep,axiom,
% 27.83/28.14 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 27.83/28.14 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 27.83/28.14 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_type__definition_ORep__inject,axiom,
% 27.83/28.14 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 27.83/28.14 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 27.83/28.14 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 27.83/28.14 <=> V_x_2 = V_y_2 ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_type__definition_ORep__inverse,axiom,
% 27.83/28.14 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 27.83/28.14 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 27.83/28.14 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_type__definition_OAbs__inject,axiom,
% 27.83/28.14 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 27.83/28.14 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 27.83/28.14 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 27.83/28.14 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_type__definition_OAbs__inverse,axiom,
% 27.83/28.14 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 27.83/28.14 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 27.83/28.14 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 27.83/28.14 ! [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))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fold1Set_Oequations,axiom,
% 27.83/28.14 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] :
% 27.83/28.14 ( 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))
% 27.83/28.14 <=> ? [B_a,B_A] :
% 27.83/28.14 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 27.83/28.14 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2))
% 27.83/28.14 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_insert__fold1SetE,axiom,
% 27.83/28.14 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] :
% 27.83/28.14 ( 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))
% 27.83/28.14 => ~ ! [B_a,B_A] :
% 27.83/28.14 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2))
% 27.83/28.14 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Nitpick_Oone__frac__def,axiom,
% 27.83/28.14 ! [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))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 27.83/28.14 ! [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))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Nitpick_Ofrac__def,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_the__elem__def,axiom,
% 27.83/28.14 ! [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))))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fold1__Un,axiom,
% 27.83/28.14 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.14 ( class_Groups_Oab__semigroup__mult(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.14 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => ( 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))
% 27.83/28.14 => 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)) ) ) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fold1__antimono,axiom,
% 27.83/28.14 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.14 => 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))) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fold1__def,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fold1__singleton__def,axiom,
% 27.83/28.14 ! [V_a_2,V_f_2,T_b,V_g_2] :
% 27.83/28.14 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2)
% 27.83/28.14 => 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 ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fold1__singleton,axiom,
% 27.83/28.14 ! [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 ).
% 27.83/28.14
% 27.83/28.14 fof(fact_folding__one_Oeq__fold,axiom,
% 27.83/28.14 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 27.83/28.14 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_The__split__eq,axiom,
% 27.83/28.14 ! [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) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_split__paired__The,axiom,
% 27.83/28.14 ! [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)))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Sup__fin_OF__eq,axiom,
% 27.83/28.14 ! [V_A_2,T_b] :
% 27.83/28.14 ( class_Lattices_Olattice(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Inf__fin_OF__eq,axiom,
% 27.83/28.14 ! [V_A_2,T_b] :
% 27.83/28.14 ( class_Lattices_Olattice(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Min_OF__eq,axiom,
% 27.83/28.14 ! [V_A_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Max_OF__eq,axiom,
% 27.83/28.14 ! [V_A_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 27.83/28.14 ! [V_A_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 27.83/28.14 ! [V_A_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_the__inv__into__def,axiom,
% 27.83/28.14 ! [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))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_divmod__nat__def,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fold1__belowI,axiom,
% 27.83/28.14 ! [V_a_2,V_A_2,T_b] :
% 27.83/28.14 ( class_Lattices_Osemilattice__inf(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.14 => 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)) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_below__fold1__iff,axiom,
% 27.83/28.14 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.14 ( class_Lattices_Osemilattice__inf(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => ( 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)))
% 27.83/28.14 <=> ! [B_x] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_min__max_Ofold1__belowI,axiom,
% 27.83/28.14 ! [V_a_2,V_A_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.14 => 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)) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fold1__insert__idem,axiom,
% 27.83/28.14 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.14 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 27.83/28.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => 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)) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fold1__below__iff,axiom,
% 27.83/28.14 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => ( 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))
% 27.83/28.14 <=> ? [B_x] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 27.83/28.14 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => ( 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)))
% 27.83/28.14 <=> ! [B_x] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fold1__Un2,axiom,
% 27.83/28.14 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.14 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.14 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => 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)) ) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fold1__strict__below__iff,axiom,
% 27.83/28.14 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => ( 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))
% 27.83/28.14 <=> ? [B_x] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_strict__below__fold1__iff,axiom,
% 27.83/28.14 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.14 ( class_Orderings_Olinorder(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => ( 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)))
% 27.83/28.14 <=> ! [B_x] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_The__split,axiom,
% 27.83/28.14 ! [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))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fold1__insert,axiom,
% 27.83/28.14 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.14 ( class_Groups_Oab__semigroup__mult(T_b)
% 27.83/28.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.14 => 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)) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_semilattice__big_OF__eq,axiom,
% 27.83/28.14 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 27.83/28.14 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_flat__lub__def,axiom,
% 27.83/28.14 ! [V_b_2,V_A_2,T_b] :
% 27.83/28.14 ( ( 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)))))
% 27.83/28.14 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 )
% 27.83/28.14 & ( ~ 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)))))
% 27.83/28.14 => 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)))))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fold1__in,axiom,
% 27.83/28.14 ! [V_A_2,T_b] :
% 27.83/28.14 ( class_Groups_Oab__semigroup__mult(T_b)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => ( ! [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))))))
% 27.83/28.14 => 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)) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inj__vimage__singleton,axiom,
% 27.83/28.14 ! [V_a_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.14 => 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))))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_hom__fold1__commute,axiom,
% 27.83/28.14 ! [V_N_2,V_h_2,T_b] :
% 27.83/28.14 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 27.83/28.14 => ( ! [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))
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 27.83/28.14 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => 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)) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setprod__pos__nat,axiom,
% 27.83/28.14 ! [V_f_2,V_S_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 27.83/28.14 => ( ! [B_x] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 27.83/28.14 => 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))) )
% 27.83/28.14 => 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))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_vimageI,axiom,
% 27.83/28.14 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] :
% 27.83/28.14 ( hAPP(V_f_2,V_a_2) = V_b_2
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2))
% 27.83/28.14 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_vimage__Int,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_vimage__Un,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_vimage__mono,axiom,
% 27.83/28.14 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.14 => 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))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_vimage__compose,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_vimage__empty,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_vimage__Compl,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_vimage__ident,axiom,
% 27.83/28.14 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 27.83/28.14
% 27.83/28.14 fof(fact_vimage__code,axiom,
% 27.83/28.14 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2))
% 27.83/28.14 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_vimage__Diff,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_vimage__UN,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_vimage__UNIV,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_vimageI2,axiom,
% 27.83/28.14 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2))
% 27.83/28.14 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_vimageD,axiom,
% 27.83/28.14 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)))
% 27.83/28.14 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_vimage__eq,axiom,
% 27.83/28.14 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)))
% 27.83/28.14 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_image__vimage__subset,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_surj__image__vimage__eq,axiom,
% 27.83/28.14 ! [V_A_2,V_f_2,T_b,T_c] :
% 27.83/28.14 ( 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))
% 27.83/28.14 => 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 ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_vimage__singleton__eq,axiom,
% 27.83/28.14 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] :
% 27.83/28.14 ( 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))))))
% 27.83/28.14 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_vimage__insert,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_finite__vimageD,axiom,
% 27.83/28.14 ! [V_F_2,V_h_2,T_c,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 27.83/28.14 => ( 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))
% 27.83/28.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_vimage__subsetD,axiom,
% 27.83/28.14 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] :
% 27.83/28.14 ( 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))
% 27.83/28.14 => ( 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))
% 27.83/28.14 => 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))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_image__vimage__eq,axiom,
% 27.83/28.14 ! [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)))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_finite__vimageI,axiom,
% 27.83/28.14 ! [V_h_2,T_c,V_F_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 27.83/28.14 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 27.83/28.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_inj__vimage__image__eq,axiom,
% 27.83/28.14 ! [V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.14 => 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 ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_vimage__const,axiom,
% 27.83/28.14 ! [T_c,V_A_2,V_c_2,T_b] :
% 27.83/28.14 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 27.83/28.14 => 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)) )
% 27.83/28.14 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 27.83/28.14 => 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)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_vimage__eq__UN,axiom,
% 27.83/28.14 ! [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))))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_vimage__subsetI,axiom,
% 27.83/28.14 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.14 => ( 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)))
% 27.83/28.14 => 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)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_vimage__if,axiom,
% 27.83/28.14 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] :
% 27.83/28.14 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 27.83/28.14 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 27.83/28.14 => 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)) )
% 27.83/28.14 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 27.83/28.14 => 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 ) ) )
% 27.83/28.14 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 27.83/28.14 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 27.83/28.14 => 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) )
% 27.83/28.14 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 27.83/28.14 => 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)) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_image__split__eq__Sigma,axiom,
% 27.83/28.14 ! [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))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 27.83/28.14 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] :
% 27.83/28.14 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 27.83/28.14 => ( ! [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))
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 27.83/28.14 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => 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)) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Rep__Integ__induct,axiom,
% 27.83/28.14 ! [V_Pa_2,V_y_2] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 27.83/28.14 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x)))
% 27.83/28.14 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_SigmaI,axiom,
% 27.83/28.14 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 27.83/28.14 => 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))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Times__eq__cancel2,axiom,
% 27.83/28.14 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 27.83/28.14 => ( 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))
% 27.83/28.14 <=> V_A_2 = V_B_2 ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Sigma__empty1,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_card__cartesian__product,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__cartesian__product,axiom,
% 27.83/28.14 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.14 => 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))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Sigma__empty2,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Times__empty,axiom,
% 27.83/28.14 ! [V_B_2,V_A_2,T_c,T_b] :
% 27.83/28.14 ( 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))
% 27.83/28.14 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Compl__Times__UNIV2,axiom,
% 27.83/28.14 ! [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)))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Compl__Times__UNIV1,axiom,
% 27.83/28.14 ! [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))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setprod__cartesian__product,axiom,
% 27.83/28.14 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__mult(T_b)
% 27.83/28.14 => 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))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Sigma__Un__distrib2,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Times__Un__distrib1,axiom,
% 27.83/28.14 ! [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))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Sigma__Un__distrib1,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_swap__product,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_finite__cartesian__product,axiom,
% 27.83/28.14 ! [V_B_2,T_c,V_A_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 27.83/28.14 => 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)))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_equiv__type,axiom,
% 27.83/28.14 ! [V_r_2,V_A_2,T_b] :
% 27.83/28.14 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 27.83/28.14 => 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)))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Sigma__Int__distrib2,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Times__Int__distrib1,axiom,
% 27.83/28.14 ! [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))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Sigma__Int__distrib1,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Id__on__subset__Times,axiom,
% 27.83/28.14 ! [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)))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Sigma__Diff__distrib2,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Times__Diff__distrib1,axiom,
% 27.83/28.14 ! [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))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Sigma__Diff__distrib1,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_UNIV__Times__UNIV,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_mem__Sigma__iff,axiom,
% 27.83/28.14 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 27.83/28.14 ( 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)))
% 27.83/28.14 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.14 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_SigmaD1,axiom,
% 27.83/28.14 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 27.83/28.14 ( 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)))
% 27.83/28.14 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_SigmaD2,axiom,
% 27.83/28.14 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 27.83/28.14 ( 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)))
% 27.83/28.14 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_SigmaE2,axiom,
% 27.83/28.14 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 27.83/28.14 ( 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)))
% 27.83/28.14 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.14 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_card__cartesian__product__singleton,axiom,
% 27.83/28.14 ! [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) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Times__subset__cancel2,axiom,
% 27.83/28.14 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 27.83/28.14 => ( 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))))
% 27.83/28.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Image__subset,axiom,
% 27.83/28.14 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 27.83/28.14 ( 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))))
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_finite__cartesian__productD1,axiom,
% 27.83/28.14 ! [V_B_2,V_A_2,T_c,T_b] :
% 27.83/28.14 ( 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))))
% 27.83/28.14 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 27.83/28.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_finite__cartesian__productD2,axiom,
% 27.83/28.14 ! [V_B_2,V_A_2,T_c,T_b] :
% 27.83/28.14 ( 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))))
% 27.83/28.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fst__image__times,axiom,
% 27.83/28.14 ! [V_A_2,T_c,T_b,V_B_2] :
% 27.83/28.14 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => 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)) )
% 27.83/28.14 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => 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 ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_snd__image__times,axiom,
% 27.83/28.14 ! [V_B_2,T_c,T_b,V_A_2] :
% 27.83/28.14 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => 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)) )
% 27.83/28.14 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.14 => 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 ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_insert__times__insert,axiom,
% 27.83/28.14 ! [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)))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_finite__equiv__class,axiom,
% 27.83/28.14 ! [V_X_2,V_r_2,V_A_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( 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))))
% 27.83/28.14 => ( 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)))
% 27.83/28.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_vimage__Times,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_UN__Times__distrib,axiom,
% 27.83/28.14 ! [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))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Sigma__def,axiom,
% 27.83/28.14 ! [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))))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_finite__quotient,axiom,
% 27.83/28.14 ! [V_r_2,V_A_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( 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))))
% 27.83/28.14 => 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))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 27.83/28.14 ! [V_A_2,V_I_2,T_c,T_b] :
% 27.83/28.14 ? [B_f] :
% 27.83/28.14 ( 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))
% 27.83/28.14 & 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))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fold__image__Sigma,axiom,
% 27.83/28.14 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__mult(T_d)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( ! [B_x] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 27.83/28.14 => 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)) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_finite__SigmaI,axiom,
% 27.83/28.14 ! [V_B_2,T_c,V_A_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( ! [B_a] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 27.83/28.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 27.83/28.14 => 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))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setprod__Sigma,axiom,
% 27.83/28.14 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__mult(T_d)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( ! [B_x] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 27.83/28.14 => 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)) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_setsum__Sigma,axiom,
% 27.83/28.14 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 27.83/28.14 ( class_Groups_Ocomm__monoid__add(T_d)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( ! [B_x] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 27.83/28.14 => 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)) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_card__SigmaI,axiom,
% 27.83/28.14 ! [V_B_2,T_c,V_A_2,T_b] :
% 27.83/28.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.14 => ( ! [B_x] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.14 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 27.83/28.14 => 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) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_SigmaE,axiom,
% 27.83/28.14 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] :
% 27.83/28.14 ( 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)))
% 27.83/28.14 => ~ ! [B_x] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.14 => ! [B_y] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x)))
% 27.83/28.14 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_map__pair__surj,axiom,
% 27.83/28.14 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] :
% 27.83/28.14 ( 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))
% 27.83/28.14 => ( 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))
% 27.83/28.14 => 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)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_map__pair__inj__on,axiom,
% 27.83/28.14 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.14 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2)
% 27.83/28.14 => 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))) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_map__pair__imageI,axiom,
% 27.83/28.14 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] :
% 27.83/28.14 ( 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))
% 27.83/28.14 => 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))) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fst__map__pair,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_map__pair__simp,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_map__pair__ident,axiom,
% 27.83/28.14 ! [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 ).
% 27.83/28.14
% 27.83/28.14 fof(fact_snd__prod__fun,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_snd__comp__map__pair,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fst__comp__map__pair,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_map__pair_Ocompositionality,axiom,
% 27.83/28.14 ! [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) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_map__pair__compose,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_map__pair_Ocomp,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_map__pair__def,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_map__pair__surj__on,axiom,
% 27.83/28.14 ! [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] :
% 27.83/28.14 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 27.83/28.14 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2
% 27.83/28.14 => 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)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_prod__fun__imageE,axiom,
% 27.83/28.14 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] :
% 27.83/28.14 ( 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)))
% 27.83/28.14 => ~ ! [B_x,B_y] :
% 27.83/28.14 ( 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))
% 27.83/28.14 => ~ 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)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_refl__on__def,axiom,
% 27.83/28.14 ! [V_r_2,V_A_2,T_b] :
% 27.83/28.14 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 27.83/28.14 <=> ( 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))))
% 27.83/28.14 & ! [B_x] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.14 => 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)) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_Rep__Integ__cases,axiom,
% 27.83/28.14 ! [V_y_2] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 27.83/28.14 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_refl__on__Id__on,axiom,
% 27.83/28.14 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_refl__on__empty,axiom,
% 27.83/28.14 ! [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))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_refl__on__Un,axiom,
% 27.83/28.14 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 27.83/28.14 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 27.83/28.14 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 27.83/28.14 => 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)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_refl__Id,axiom,
% 27.83/28.14 ! [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)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_refl__on__Int,axiom,
% 27.83/28.14 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 27.83/28.14 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 27.83/28.14 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 27.83/28.14 => 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)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_refl__onD,axiom,
% 27.83/28.14 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 27.83/28.14 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 27.83/28.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.14 => 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)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_refl__onD1,axiom,
% 27.83/28.14 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 27.83/28.14 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 27.83/28.14 => ( 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))
% 27.83/28.14 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_refl__onD2,axiom,
% 27.83/28.14 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 27.83/28.14 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 27.83/28.14 => ( 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))
% 27.83/28.14 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_refl__reflcl,axiom,
% 27.83/28.14 ! [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))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_refl__onI,axiom,
% 27.83/28.14 ! [V_A_2,V_r_2,T_b] :
% 27.83/28.14 ( 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))))
% 27.83/28.14 => ( ! [B_x] :
% 27.83/28.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.14 => 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)) )
% 27.83/28.14 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fun__left__comm__idem__remove,axiom,
% 27.83/28.14 ! [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))))) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 27.83/28.14 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 27.83/28.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 27.83/28.14 => ( ! [B_x] :
% 27.83/28.14 ( 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)))
% 27.83/28.14 => hAPP(V_g_2,B_x) = V_z_2 )
% 27.83/28.14 => 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)) ) ) ) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 27.83/28.14 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 27.83/28.14 => 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) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 27.83/28.14 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 27.83/28.14 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 27.83/28.14 => 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)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fun__left__comm__idem__insert,axiom,
% 27.83/28.14 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fun__left__comm__idem,axiom,
% 27.83/28.14 ! [T_b] :
% 27.83/28.14 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 27.83/28.14 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fun__left__comm__idem__sup,axiom,
% 27.83/28.14 ! [T_b] :
% 27.83/28.14 ( class_Lattices_Osemilattice__sup(T_b)
% 27.83/28.14 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ).
% 27.83/28.14
% 27.83/28.14 fof(fact_fun__left__comm__idem__inf,axiom,
% 27.83/28.14 ! [T_b] :
% 27.83/28.14 ( class_Lattices_Osemilattice__inf(T_b)
% 27.83/28.14 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ).
% 27.83/28.14
% 27.83/28.15 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 27.83/28.15 ! [V_x_2,V_f_2,T_c,T_b] :
% 27.83/28.15 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 27.83/28.15 ! [T_b] :
% 27.83/28.15 ( class_Orderings_Olinorder(T_b)
% 27.83/28.15 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 27.83/28.15 ! [T_b] :
% 27.83/28.15 ( class_Orderings_Olinorder(T_b)
% 27.83/28.15 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_card__less__Suc,axiom,
% 27.83/28.15 ! [V_i_2,V_M_2] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 27.83/28.15 => 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))))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_card__less,axiom,
% 27.83/28.15 ! [V_i_2,V_M_2] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_card__less__Suc2,axiom,
% 27.83/28.15 ! [V_i_2,V_M_2] :
% 27.83/28.15 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 27.83/28.15 => 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))))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_CollectI,axiom,
% 27.83/28.15 ! [T_b,V_a_2,V_Pa_2] :
% 27.83/28.15 ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 27.83/28.15 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_finite__Collect__conjI,axiom,
% 27.83/28.15 ! [V_Qa_2,V_Pa_2,T_b] :
% 27.83/28.15 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 27.83/28.15 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Qa_2))) )
% 27.83/28.15 => 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)))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_finite__Collect__less__nat,axiom,
% 27.83/28.15 ! [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)))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_finite__Collect__le__nat,axiom,
% 27.83/28.15 ! [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)))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Collect__split,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_SetCompr__Sigma__eq,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Collect__neg__eq,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_vimage__Collect__eq,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Collect__mem__eq,axiom,
% 27.83/28.15 ! [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 ).
% 27.83/28.15
% 27.83/28.15 fof(fact_mem__Collect__eq,axiom,
% 27.83/28.15 ! [V_Pa_2,V_a_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 27.83/28.15 <=> hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_CollectD,axiom,
% 27.83/28.15 ! [V_Pa_2,V_a_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 27.83/28.15 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_CollectE,axiom,
% 27.83/28.15 ! [V_Pa_2,V_a_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 27.83/28.15 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_UNIV__def,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_finite__Collect__disjI,axiom,
% 27.83/28.15 ! [V_Qa_2,V_Pa_2,T_b] :
% 27.83/28.15 ( 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))))
% 27.83/28.15 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 27.83/28.15 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Qa_2))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Collect__def,axiom,
% 27.83/28.15 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2 ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Collect__empty__eq,axiom,
% 27.83/28.15 ! [V_Pa_2,T_b] :
% 27.83/28.15 ( hAPP(c_Set_OCollect(T_b),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.15 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_empty__Collect__eq,axiom,
% 27.83/28.15 ! [V_Pa_2,T_b] :
% 27.83/28.15 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_Pa_2)
% 27.83/28.15 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_empty__def,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_insert__Collect,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Collect__disj__eq,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Collect__conj__eq,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_insert__compr__raw,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_insert__compr,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Un__def,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Int__Collect,axiom,
% 27.83/28.15 ! [V_Pa_2,V_A_2,V_x_2,T_b] :
% 27.83/28.15 ( 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))))
% 27.83/28.15 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.15 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Int__def,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_singleton__conv2,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_singleton__conv,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Collect__conv__if2,axiom,
% 27.83/28.15 ! [T_b,V_a_2,V_Pa_2] :
% 27.83/28.15 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 27.83/28.15 => 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))) )
% 27.83/28.15 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 27.83/28.15 => 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Collect__conv__if,axiom,
% 27.83/28.15 ! [T_b,V_a_2,V_Pa_2] :
% 27.83/28.15 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 27.83/28.15 => 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))) )
% 27.83/28.15 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 27.83/28.15 => 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__diff__eq,axiom,
% 27.83/28.15 ! [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)))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_finite__Collect__not,axiom,
% 27.83/28.15 ! [V_Pa_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 27.83/28.15 => ( 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))))
% 27.83/28.15 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_insert__def,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Compl__eq,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_vimage__def,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Collect__imp__eq,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_finite__M__bounded__by__nat,axiom,
% 27.83/28.15 ! [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))))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_setsum__setsum__restrict,axiom,
% 27.83/28.15 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] :
% 27.83/28.15 ( class_Groups_Ocomm__monoid__add(T_d)
% 27.83/28.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 27.83/28.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 27.83/28.15 => 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) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_if__image__distrib,axiom,
% 27.83/28.15 ! [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))))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_nat__seg__image__imp__finite,axiom,
% 27.83/28.15 ! [V_n_2,V_f_2,T_b,V_A_2] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_setsum__restrict__set_H,axiom,
% 27.83/28.15 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 27.83/28.15 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.15 => 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) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_setsum__image__gen,axiom,
% 27.83/28.15 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] :
% 27.83/28.15 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 27.83/28.15 => 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Image__singleton,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_setsum__cases,axiom,
% 27.83/28.15 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_b,T_c] :
% 27.83/28.15 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.15 => 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))))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_setsum__multicount,axiom,
% 27.83/28.15 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 27.83/28.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 27.83/28.15 => ( ! [B_x] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2))
% 27.83/28.15 => 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 )
% 27.83/28.15 => 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)) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 27.83/28.15 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.15 ( class_Orderings_Olinorder(T_b)
% 27.83/28.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.15 => 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))))) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 27.83/28.15 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.15 ( class_Orderings_Olinorder(T_b)
% 27.83/28.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.15 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.15 => 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))))))) ) ) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_finite__Collect__subsets,axiom,
% 27.83/28.15 ! [V_A_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.15 => 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)))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Pow__Compl,axiom,
% 27.83/28.15 ! [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))))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Id__def,axiom,
% 27.83/28.15 ! [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))))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Pow__def,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_finite__image__set,axiom,
% 27.83/28.15 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 27.83/28.15 => 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))))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_finite__Collect__bounded__ex,axiom,
% 27.83/28.15 ! [V_Qa_2,T_c,V_Pa_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 27.83/28.15 => ( 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)))))
% 27.83/28.15 <=> ! [B_y] :
% 27.83/28.15 ( hBOOL(hAPP(V_Pa_2,B_y))
% 27.83/28.15 => 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)))) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_inj__graph,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_finite__psubset__def,axiom,
% 27.83/28.15 ! [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)))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_inv__image__def,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 27.83/28.15 ! [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)))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 27.83/28.15 ! [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)))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_add__Min__commute,axiom,
% 27.83/28.15 ! [V_k_2,V_N_2,T_b] :
% 27.83/28.15 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 27.83/28.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 27.83/28.15 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.15 => 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))))) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_add__Max__commute,axiom,
% 27.83/28.15 ! [V_k_2,V_N_2,T_b] :
% 27.83/28.15 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 27.83/28.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 27.83/28.15 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.15 => 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))))) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_sup__Inf1__distrib,axiom,
% 27.83/28.15 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.15 ( class_Lattices_Odistrib__lattice(T_b)
% 27.83/28.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.15 => 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))))) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_sup__Inf2__distrib,axiom,
% 27.83/28.15 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.15 ( class_Lattices_Odistrib__lattice(T_b)
% 27.83/28.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.15 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.15 => 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))))))) ) ) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_inf__Sup2__distrib,axiom,
% 27.83/28.15 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.15 ( class_Lattices_Odistrib__lattice(T_b)
% 27.83/28.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.15 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.15 => 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))))))) ) ) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_inf__Sup1__distrib,axiom,
% 27.83/28.15 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.15 ( class_Lattices_Odistrib__lattice(T_b)
% 27.83/28.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.15 => 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))))) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 27.83/28.15 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.15 ( class_Orderings_Olinorder(T_b)
% 27.83/28.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 27.83/28.15 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.15 => 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))))))) ) ) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 27.83/28.15 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.15 ( class_Orderings_Olinorder(T_b)
% 27.83/28.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.15 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.15 => 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))))) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Nitpick_Oprod__def,axiom,
% 27.83/28.15 ! [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)))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_int__ge__less__than__def,axiom,
% 27.83/28.15 ! [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)))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_int__ge__less__than2__def,axiom,
% 27.83/28.15 ! [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)))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_reflp__def,axiom,
% 27.83/28.15 ! [V_r_2,T_b] :
% 27.83/28.15 ( c_Predicate_Oreflp(T_b,V_r_2)
% 27.83/28.15 <=> 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 27.83/28.15 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] :
% 27.83/28.15 ( class_Rings_Osemiring__0(T_d)
% 27.83/28.15 => ( 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)))
% 27.83/28.15 => 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))))))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_length__sublist,axiom,
% 27.83/28.15 ! [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)))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_inj__on__id,axiom,
% 27.83/28.15 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_id__o,axiom,
% 27.83/28.15 ! [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 ).
% 27.83/28.15
% 27.83/28.15 fof(fact_o__id,axiom,
% 27.83/28.15 ! [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 ).
% 27.83/28.15
% 27.83/28.15 fof(fact_o__eq__id__dest,axiom,
% 27.83/28.15 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 27.83/28.15 ( 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)
% 27.83/28.15 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_apfst__id,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_id__def,axiom,
% 27.83/28.15 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 27.83/28.15
% 27.83/28.15 fof(fact_id__apply,axiom,
% 27.83/28.15 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 27.83/28.15
% 27.83/28.15 fof(fact_apsnd__id,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_reflpE,axiom,
% 27.83/28.15 ! [V_x_2,V_r_2,T_b] :
% 27.83/28.15 ( c_Predicate_Oreflp(T_b,V_r_2)
% 27.83/28.15 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_neq__if__length__neq,axiom,
% 27.83/28.15 ! [V_ys,V_xs,T_a] :
% 27.83/28.15 ( 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)
% 27.83/28.15 => V_xs != V_ys ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_vimage__id,axiom,
% 27.83/28.15 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ).
% 27.83/28.15
% 27.83/28.15 fof(fact_map__pair_Oid,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_map__pair_Oidentity,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_image__id,axiom,
% 27.83/28.15 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ).
% 27.83/28.15
% 27.83/28.15 fof(fact_of__int__eq__id,axiom,
% 27.83/28.15 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_surj__id,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_funpow_Osimps_I1_J,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_folding_Oempty,axiom,
% 27.83/28.15 ! [V_F_2,V_f_2,T_c,T_b] :
% 27.83/28.15 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 27.83/28.15 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_apfst__def,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_apsnd__def,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_split__Pair,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_setsum__reindex__id,axiom,
% 27.83/28.15 ! [V_B_2,V_f_2,T_b,T_c] :
% 27.83/28.15 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.15 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 27.83/28.15 => 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_setprod__reindex__id,axiom,
% 27.83/28.15 ! [V_B_2,V_f_2,T_b,T_c] :
% 27.83/28.15 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.15 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 27.83/28.15 => 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_setsum__multicount__gen,axiom,
% 27.83/28.15 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 27.83/28.15 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2))
% 27.83/28.15 => ( ! [B_x] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2))
% 27.83/28.15 => 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) )
% 27.83/28.15 => 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) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_finite__conv__nat__seg__image,axiom,
% 27.83/28.15 ! [V_A_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.15 <=> ? [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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rel__comp__def,axiom,
% 27.83/28.15 ! [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))))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rel__compI,axiom,
% 27.83/28.15 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => ( 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))
% 27.83/28.15 => 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))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rel__comp__UNION__distrib2,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rel__comp__UNION__distrib,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rel__pow__commute,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_R__O__Id,axiom,
% 27.83/28.15 ! [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 ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Id__O__R,axiom,
% 27.83/28.15 ! [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 ).
% 27.83/28.15
% 27.83/28.15 fof(fact_O__assoc,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rel__comp__empty1,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rel__comp__empty2,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rel__comp__mono,axiom,
% 27.83/28.15 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => ( 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))
% 27.83/28.15 => 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))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rel__comp__distrib,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rel__comp__distrib2,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_relpow_Osimps_I2_J,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rel__pow__add,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_union__comp__emptyR,axiom,
% 27.83/28.15 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => ( 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))
% 27.83/28.15 => 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_union__comp__emptyL,axiom,
% 27.83/28.15 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => ( 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))
% 27.83/28.15 => 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rel__comp__subset__Sigma,axiom,
% 27.83/28.15 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 27.83/28.15 ( 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))))
% 27.83/28.15 => ( 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))))
% 27.83/28.15 => 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)))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_max__ext__compat,axiom,
% 27.83/28.15 ! [V_S_2,V_R_2,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_min__ext__compat,axiom,
% 27.83/28.15 ! [V_S_2,V_R_2,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_pred__comp__rel__comp__eq,axiom,
% 27.83/28.15 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 <=> 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_reduction__pairI,axiom,
% 27.83/28.15 ! [V_S_2,V_R_2,T_b] :
% 27.83/28.15 ( c_Wellfounded_Owf(T_b,V_R_2)
% 27.83/28.15 => ( 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))
% 27.83/28.15 => 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_sublist__append,axiom,
% 27.83/28.15 ! [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)))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__less__than,axiom,
% 27.83/28.15 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_pred__comp_Ointros,axiom,
% 27.83/28.15 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 27.83/28.15 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2))
% 27.83/28.15 => 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__empty,axiom,
% 27.83/28.15 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__inv__image,axiom,
% 27.83/28.15 ! [V_f_2,T_c,V_r_2,T_b] :
% 27.83/28.15 ( c_Wellfounded_Owf(T_b,V_r_2)
% 27.83/28.15 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__lex__prod,axiom,
% 27.83/28.15 ! [V_rb_2,T_c,V_ra_2,T_b] :
% 27.83/28.15 ( c_Wellfounded_Owf(T_b,V_ra_2)
% 27.83/28.15 => ( c_Wellfounded_Owf(T_c,V_rb_2)
% 27.83/28.15 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__measure,axiom,
% 27.83/28.15 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__comp__self,axiom,
% 27.83/28.15 ! [V_R_2,T_b] :
% 27.83/28.15 ( c_Wellfounded_Owf(T_b,V_R_2)
% 27.83/28.15 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__less,axiom,
% 27.83/28.15 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)))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__Int2,axiom,
% 27.83/28.15 ! [V_r_H_2,V_r_2,T_b] :
% 27.83/28.15 ( c_Wellfounded_Owf(T_b,V_r_2)
% 27.83/28.15 => 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)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__Int1,axiom,
% 27.83/28.15 ! [V_r_H_2,V_r_2,T_b] :
% 27.83/28.15 ( c_Wellfounded_Owf(T_b,V_r_2)
% 27.83/28.15 => 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)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__subset,axiom,
% 27.83/28.15 ! [V_p_2,V_r_2,T_b] :
% 27.83/28.15 ( c_Wellfounded_Owf(T_b,V_r_2)
% 27.83/28.15 => ( 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))
% 27.83/28.15 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__pair__less,axiom,
% 27.83/28.15 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__exp,axiom,
% 27.83/28.15 ! [V_R_2,V_n_2,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_max__ext__wf,axiom,
% 27.83/28.15 ! [V_r_2,T_b] :
% 27.83/28.15 ( c_Wellfounded_Owf(T_b,V_r_2)
% 27.83/28.15 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_pred__comp_Oequations,axiom,
% 27.83/28.15 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 <=> ? [B_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 27.83/28.15 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_min__ext__wf,axiom,
% 27.83/28.15 ! [V_r_2,T_b] :
% 27.83/28.15 ( c_Wellfounded_Owf(T_b,V_r_2)
% 27.83/28.15 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_append__eq__appendI,axiom,
% 27.83/28.15 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 27.83/28.15 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 27.83/28.15 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 27.83/28.15 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_append__same__eq,axiom,
% 27.83/28.15 ! [V_zs_2,V_xs_2,V_ys_2,T_b] :
% 27.83/28.15 ( 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)
% 27.83/28.15 <=> V_ys_2 = V_zs_2 ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_same__append__eq,axiom,
% 27.83/28.15 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 27.83/28.15 ( 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)
% 27.83/28.15 <=> V_ys_2 = V_zs_2 ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_append__eq__append__conv2,axiom,
% 27.83/28.15 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] :
% 27.83/28.15 ( 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)
% 27.83/28.15 <=> ? [B_us] :
% 27.83/28.15 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us)
% 27.83/28.15 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 )
% 27.83/28.15 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2
% 27.83/28.15 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_append__assoc,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__finite__psubset,axiom,
% 27.83/28.15 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__mlex,axiom,
% 27.83/28.15 ! [V_f_2,V_R_2,T_b] :
% 27.83/28.15 ( c_Wellfounded_Owf(T_b,V_R_2)
% 27.83/28.15 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__irrefl,axiom,
% 27.83/28.15 ! [V_a_2,V_r_2,T_b] :
% 27.83/28.15 ( c_Wellfounded_Owf(T_b,V_r_2)
% 27.83/28.15 => ~ 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)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__asym,axiom,
% 27.83/28.15 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 27.83/28.15 ( c_Wellfounded_Owf(T_b,V_r_2)
% 27.83/28.15 => ( 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))
% 27.83/28.15 => ~ 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__not__sym,axiom,
% 27.83/28.15 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 27.83/28.15 ( c_Wellfounded_Owf(T_b,V_r_2)
% 27.83/28.15 => ( 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))
% 27.83/28.15 => ~ 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__not__refl,axiom,
% 27.83/28.15 ! [V_a_2,V_r_2,T_b] :
% 27.83/28.15 ( c_Wellfounded_Owf(T_b,V_r_2)
% 27.83/28.15 => ~ 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)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_length__append,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__int__ge__less__than2,axiom,
% 27.83/28.15 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__int__ge__less__than,axiom,
% 27.83/28.15 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__acc__iff,axiom,
% 27.83/28.15 ! [V_r_2,T_b] :
% 27.83/28.15 ( c_Wellfounded_Owf(T_b,V_r_2)
% 27.83/28.15 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_acc__wfD,axiom,
% 27.83/28.15 ! [V_x_2,V_r_2,T_b] :
% 27.83/28.15 ( c_Wellfounded_Owf(T_b,V_r_2)
% 27.83/28.15 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__no__loop,axiom,
% 27.83/28.15 ! [V_R_2,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__union__merge,axiom,
% 27.83/28.15 ! [V_S_2,V_R_2,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 <=> 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)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 27.83/28.15 ! [V_r_2,T_b] :
% 27.83/28.15 ( c_Wellfounded_Owf(T_b,V_r_2)
% 27.83/28.15 <=> ~ ? [B_f] :
% 27.83/28.15 ! [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)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wfE__pf,axiom,
% 27.83/28.15 ! [V_A_2,V_R_2,T_b] :
% 27.83/28.15 ( c_Wellfounded_Owf(T_b,V_R_2)
% 27.83/28.15 => ( 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)))
% 27.83/28.15 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__union__compatible,axiom,
% 27.83/28.15 ! [V_S_2,V_R_2,T_b] :
% 27.83/28.15 ( c_Wellfounded_Owf(T_b,V_R_2)
% 27.83/28.15 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 27.83/28.15 => ( 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))
% 27.83/28.15 => 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)) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf,axiom,
% 27.83/28.15 ! [T_b] :
% 27.83/28.15 ( class_Orderings_Owellorder(T_b)
% 27.83/28.15 => 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)))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_reduction__pair__def,axiom,
% 27.83/28.15 ! [V_Pa_2,T_b] :
% 27.83/28.15 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 27.83/28.15 <=> ( 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))
% 27.83/28.15 & 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))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_reduction__pair__lemma,axiom,
% 27.83/28.15 ! [V_S_2,V_R_2,V_Pa_2,T_b] :
% 27.83/28.15 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 27.83/28.15 => ( 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)))
% 27.83/28.15 => ( 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)))
% 27.83/28.15 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 27.83/28.15 => 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)) ) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__map__pair__image,axiom,
% 27.83/28.15 ! [V_f_2,T_c,V_r_2,T_b] :
% 27.83/28.15 ( c_Wellfounded_Owf(T_b,V_r_2)
% 27.83/28.15 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.15 => 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__lenlex,axiom,
% 27.83/28.15 ! [V_r_2,T_b] :
% 27.83/28.15 ( c_Wellfounded_Owf(T_b,V_r_2)
% 27.83/28.15 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__if__measure,axiom,
% 27.83/28.15 ! [T_b,V_g_2,V_f_2,V_Pa_2] :
% 27.83/28.15 ( ! [B_x] :
% 27.83/28.15 ( hBOOL(hAPP(V_Pa_2,B_x))
% 27.83/28.15 => 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))) )
% 27.83/28.15 => 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))))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Range__Collect__split,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_RangeI,axiom,
% 27.83/28.15 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Range__Id__on,axiom,
% 27.83/28.15 ! [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 ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Range__empty__iff,axiom,
% 27.83/28.15 ! [V_r_2,T_b,T_c] :
% 27.83/28.15 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.15 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Range__empty,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Range__Un__eq,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Range__Id,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_finite__Range,axiom,
% 27.83/28.15 ! [V_r_2,T_c,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 27.83/28.15 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_snd__eq__Range,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Range__iff,axiom,
% 27.83/28.15 ! [V_r_2,T_c,V_a_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 27.83/28.15 <=> ? [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)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Range__insert,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Range__Int__subset,axiom,
% 27.83/28.15 ! [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)))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Range__Diff__subset,axiom,
% 27.83/28.15 ! [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)))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_pred__nat__def,axiom,
% 27.83/28.15 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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_RangeP__Range__eq,axiom,
% 27.83/28.15 ! [V_x_2,V_r_2,T_c,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lenlex__def,axiom,
% 27.83/28.15 ! [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)))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_RangeP_Ointros,axiom,
% 27.83/28.15 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 27.83/28.15 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__lex,axiom,
% 27.83/28.15 ! [V_r_2,T_b] :
% 27.83/28.15 ( c_Wellfounded_Owf(T_b,V_r_2)
% 27.83/28.15 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_RangeP_Oequations,axiom,
% 27.83/28.15 ! [V_a2_2,V_r_2,T_c,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2))
% 27.83/28.15 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__pred__nat,axiom,
% 27.83/28.15 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lenlex__conv,axiom,
% 27.83/28.15 ! [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)))))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lex__def,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_wf__lexn,axiom,
% 27.83/28.15 ! [V_n_2,V_r_2,T_b] :
% 27.83/28.15 ( c_Wellfounded_Owf(T_b,V_r_2)
% 27.83/28.15 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_RangeE,axiom,
% 27.83/28.15 ! [V_r_2,T_c,V_b_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 27.83/28.15 => ~ ! [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)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lexn_Osimps_I1_J,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lexn__length,axiom,
% 27.83/28.15 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_n_2
% 27.83/28.15 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lexn_Osimps_I2_J,axiom,
% 27.83/28.15 ! [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)))))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lexord__lex,axiom,
% 27.83/28.15 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 & 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) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Cons__in__lex,axiom,
% 27.83/28.15 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 <=> ( ( 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))
% 27.83/28.15 & 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) )
% 27.83/28.15 | ( V_x_2 = V_y_2
% 27.83/28.15 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list_Oinject,axiom,
% 27.83/28.15 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] :
% 27.83/28.15 ( 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)
% 27.83/28.15 <=> ( V_a_2 = V_a_H_2
% 27.83/28.15 & V_list_2 = V_list_H_2 ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_not__Cons__self2,axiom,
% 27.83/28.15 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 27.83/28.15
% 27.83/28.15 fof(fact_not__Cons__self,axiom,
% 27.83/28.15 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_append__Cons,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Cons__eq__appendI,axiom,
% 27.83/28.15 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 27.83/28.15 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 27.83/28.15 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 27.83/28.15 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_impossible__Cons,axiom,
% 27.83/28.15 ! [V_x,V_ys,V_xs,T_a] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lexord__cons__cons,axiom,
% 27.83/28.15 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 <=> ( 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))
% 27.83/28.15 | ( V_a_2 = V_b_2
% 27.83/28.15 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lexord__append__left__rightI,axiom,
% 27.83/28.15 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list_Osize_I4_J,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lexord__append__leftI,axiom,
% 27.83/28.15 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__Cons__def,axiom,
% 27.83/28.15 ! [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)))))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_pick_Osimps,axiom,
% 27.83/28.15 ! [V_xs,V_x,T_a,V_i] :
% 27.83/28.15 ( ( 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)))
% 27.83/28.15 => 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) )
% 27.83/28.15 & ( ~ 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)))
% 27.83/28.15 => 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))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_sublist__Cons,axiom,
% 27.83/28.15 ! [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)))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list_Osimps_I3_J,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list_Osimps_I2_J,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__Cons__sing__Nil,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_eq__Nil__appendI,axiom,
% 27.83/28.15 ! [T_a,V_ys,V_xs] :
% 27.83/28.15 ( V_xs = V_ys
% 27.83/28.15 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_append__self__conv2,axiom,
% 27.83/28.15 ! [V_ys_2,V_xs_2,T_b] :
% 27.83/28.15 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2
% 27.83/28.15 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_append__self__conv,axiom,
% 27.83/28.15 ! [V_ys_2,V_xs_2,T_b] :
% 27.83/28.15 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2
% 27.83/28.15 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_append__is__Nil__conv,axiom,
% 27.83/28.15 ! [V_ys_2,V_xs_2,T_b] :
% 27.83/28.15 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b)
% 27.83/28.15 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 27.83/28.15 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_self__append__conv2,axiom,
% 27.83/28.15 ! [V_xs_2,T_b,V_ys_2] :
% 27.83/28.15 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 27.83/28.15 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_self__append__conv,axiom,
% 27.83/28.15 ! [V_ys_2,T_b,V_xs_2] :
% 27.83/28.15 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 27.83/28.15 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_append__Nil2,axiom,
% 27.83/28.15 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Nil__is__append__conv,axiom,
% 27.83/28.15 ! [V_ys_2,V_xs_2,T_b] :
% 27.83/28.15 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 27.83/28.15 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 27.83/28.15 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_append__Nil,axiom,
% 27.83/28.15 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 27.83/28.15
% 27.83/28.15 fof(fact_sublist__nil,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list_Osize_I3_J,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_length__0__conv,axiom,
% 27.83/28.15 ! [V_xs_2,T_b] :
% 27.83/28.15 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.15 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_append1__eq__conv,axiom,
% 27.83/28.15 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 <=> ( V_xs_2 = V_ys_2
% 27.83/28.15 & V_x_2 = V_y_2 ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Cons__eq__append__conv,axiom,
% 27.83/28.15 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] :
% 27.83/28.15 ( 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)
% 27.83/28.15 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 27.83/28.15 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 )
% 27.83/28.15 | ? [B_ys_H] :
% 27.83/28.15 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2
% 27.83/28.15 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_append__eq__Cons__conv,axiom,
% 27.83/28.15 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] :
% 27.83/28.15 ( 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)
% 27.83/28.15 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 27.83/28.15 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) )
% 27.83/28.15 | ? [B_ys_H] :
% 27.83/28.15 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H)
% 27.83/28.15 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_sublist__empty,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_length__greater__0__conv,axiom,
% 27.83/28.15 ! [V_xs_2,T_b] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lexord__Nil__right,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Nil__notin__lex,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Nil2__notin__lex,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_sublist__singleton,axiom,
% 27.83/28.15 ! [V_x_2,T_b,V_A_2] :
% 27.83/28.15 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 27.83/28.15 => 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)) )
% 27.83/28.15 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 27.83/28.15 => 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) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_select__weight__cons__zero,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 27.83/28.15 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 & V_x_2 = V_y_2 )
% 27.83/28.15 | ( V_xs_2 = V_ys_2
% 27.83/28.15 & 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)) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lexord__append__leftD,axiom,
% 27.83/28.15 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 => ( ! [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))
% 27.83/28.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Cons__acc__listrel1I,axiom,
% 27.83/28.15 ! [V_xs_2,V_r_2,V_x_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 27.83/28.15 => ( 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))))
% 27.83/28.15 => 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)))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrel1__mono,axiom,
% 27.83/28.15 ! [V_s_2,V_r_2,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrel1I2,axiom,
% 27.83/28.15 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrel1__eq__len,axiom,
% 27.83/28.15 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_not__Nil__listrel1,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_not__listrel1__Nil,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_append__listrel1I,axiom,
% 27.83/28.15 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 27.83/28.15 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 & V_us_2 = V_vs_2 )
% 27.83/28.15 | ( V_xs_2 = V_ys_2
% 27.83/28.15 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) )
% 27.83/28.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Cons__listrel1__Cons,axiom,
% 27.83/28.15 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 <=> ( ( 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))
% 27.83/28.15 & V_xs_2 = V_ys_2 )
% 27.83/28.15 | ( V_x_2 = V_y_2
% 27.83/28.15 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrel1I1,axiom,
% 27.83/28.15 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrel1I,axiom,
% 27.83/28.15 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => ( 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))
% 27.83/28.15 => ( 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))
% 27.83/28.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listset_Osimps_I1_J,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrel__Cons,axiom,
% 27.83/28.15 ! [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))))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrel1E,axiom,
% 27.83/28.15 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 => ~ ! [B_x,B_y] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => ! [B_us,B_vs] :
% 27.83/28.15 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs))
% 27.83/28.15 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrel__Nil2,axiom,
% 27.83/28.15 ! [V_r_2,V_xs_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrel__Nil1,axiom,
% 27.83/28.15 ! [V_r_2,V_xs_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrel__mono,axiom,
% 27.83/28.15 ! [V_s_2,V_r_2,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrel__eq__len,axiom,
% 27.83/28.15 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrel_ONil,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrel__Nil,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrel1__subset__listrel,axiom,
% 27.83/28.15 ! [V_r_H_2,V_r_2,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2)
% 27.83/28.15 => 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))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listset_Osimps_I2_J,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrel_OCons,axiom,
% 27.83/28.15 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrelp__listrel__eq,axiom,
% 27.83/28.15 ! [V_xa_2,V_x_2,V_r_2,T_b] :
% 27.83/28.15 ( 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)
% 27.83/28.15 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrel__Cons1,axiom,
% 27.83/28.15 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 => ~ ! [B_y,B_ys] :
% 27.83/28.15 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys)
% 27.83/28.15 => ( 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))
% 27.83/28.15 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrel__Cons2,axiom,
% 27.83/28.15 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 => ~ ! [B_x,B_xs] :
% 27.83/28.15 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 27.83/28.15 => ( 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))
% 27.83/28.15 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrelp_ONil,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrelp_Oequations_I1_J,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrelp_OCons,axiom,
% 27.83/28.15 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 27.83/28.15 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2)
% 27.83/28.15 => 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrelp_Oequations_I2_J,axiom,
% 27.83/28.15 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 27.83/28.15 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_anamorph_Osimps,axiom,
% 27.83/28.15 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 27.83/28.15 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 27.83/28.15 => 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) )
% 27.83/28.15 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 27.83/28.15 => 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list_Osize_I2_J,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrel__subset,axiom,
% 27.83/28.15 ! [V_A_2,V_r_2,T_b] :
% 27.83/28.15 ( 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))))
% 27.83/28.15 => 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))))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lists_ONil,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lists__UNIV,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lists__mono,axiom,
% 27.83/28.15 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_append__in__lists__conv,axiom,
% 27.83/28.15 ! [V_A_2,V_ys_2,V_xs_2,T_b] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 27.83/28.15 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_equiv__listrel,axiom,
% 27.83/28.15 ! [V_r_2,V_A_2,T_b] :
% 27.83/28.15 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 27.83/28.15 => 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)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrel__refl__on,axiom,
% 27.83/28.15 ! [V_r_2,V_A_2,T_b] :
% 27.83/28.15 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 27.83/28.15 => 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)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list_Osize_I1_J,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Cons__in__lists__iff,axiom,
% 27.83/28.15 ! [V_A_2,V_xs_2,V_x_2,T_b] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.15 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lists__empty,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lists__accD,axiom,
% 27.83/28.15 ! [V_r_2,V_xs_2,T_b] :
% 27.83/28.15 ( 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))))
% 27.83/28.15 => 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)))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lists__accI,axiom,
% 27.83/28.15 ! [V_r_2,V_xs_2,T_b] :
% 27.83/28.15 ( 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))))
% 27.83/28.15 => 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)))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lexord__append__rightI,axiom,
% 27.83/28.15 ! [V_r_2,V_x_2,T_b,V_y_2] :
% 27.83/28.15 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z)
% 27.83/28.15 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lexord__Nil__left,axiom,
% 27.83/28.15 ! [V_r_2,V_y_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrel__iff__nth,axiom,
% 27.83/28.15 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 <=> ( 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)
% 27.83/28.15 & ! [B_n] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => 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)) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_infinite__UNIV__listI,axiom,
% 27.83/28.15 ! [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)))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list__eq__iff__nth__eq,axiom,
% 27.83/28.15 ! [T_b,V_ys_2,V_xs_2] :
% 27.83/28.15 ( V_xs_2 = V_ys_2
% 27.83/28.15 <=> ( 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)
% 27.83/28.15 & ! [B_i] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_nth__Cons__0,axiom,
% 27.83/28.15 ! [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 ).
% 27.83/28.15
% 27.83/28.15 fof(fact_nth__Cons__Suc,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_nth_Osimps,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_nth__append__length,axiom,
% 27.83/28.15 ! [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 ).
% 27.83/28.15
% 27.83/28.15 fof(fact_nth__append__length__plus,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_nth__append,axiom,
% 27.83/28.15 ! [V_ys,V_xs,T_a,V_n] :
% 27.83/28.15 ( ( 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)))
% 27.83/28.15 => 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) )
% 27.83/28.15 & ( ~ 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)))
% 27.83/28.15 => 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))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_nth__Cons_H,axiom,
% 27.83/28.15 ! [V_xs,V_x,T_a,V_n] :
% 27.83/28.15 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.15 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 27.83/28.15 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.15 => 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))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_nth__Cons__number__of,axiom,
% 27.83/28.15 ! [V_xs,V_x,T_a,V_v] :
% 27.83/28.15 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.15 => 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 )
% 27.83/28.15 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.15 => 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))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lexord__take__index__conv,axiom,
% 27.83/28.15 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 <=> ( ( 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)))
% 27.83/28.15 & 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 )
% 27.83/28.15 | ? [B_i] :
% 27.83/28.15 ( 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))))
% 27.83/28.15 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2)
% 27.83/28.15 & 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)) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_take__Suc__conv__app__nth,axiom,
% 27.83/28.15 ! [V_xs,T_a,V_i] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lexord__irreflexive,axiom,
% 27.83/28.15 ! [V_y_2,V_r_2,T_b] :
% 27.83/28.15 ( ! [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))
% 27.83/28.15 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_take__all,axiom,
% 27.83/28.15 ! [V_n,V_xs,T_a] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_nth__take,axiom,
% 27.83/28.15 ! [V_xs,T_a,V_n,V_i] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_take__Suc__Cons,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_take__take,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_take__0,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_take__eq__Nil,axiom,
% 27.83/28.15 ! [V_xs_2,V_n_2,T_b] :
% 27.83/28.15 ( hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 27.83/28.15 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.15 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_take__Nil,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_length__take,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_take__Cons,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_sublist__upt__eq__take,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_take__append,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_take__1__Cons,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_take__Cons_H,axiom,
% 27.83/28.15 ! [V_xs,V_x,T_a,V_n] :
% 27.83/28.15 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.15 => 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) )
% 27.83/28.15 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.15 => 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_take__Cons__number__of,axiom,
% 27.83/28.15 ! [V_xs,V_x,T_a,V_v] :
% 27.83/28.15 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.15 => 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) )
% 27.83/28.15 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.15 => 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_finite__lists__length__le,axiom,
% 27.83/28.15 ! [V_n_2,V_A_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.15 => 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))))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_id__take__nth__drop,axiom,
% 27.83/28.15 ! [V_xs,T_a,V_i] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_finite__set,axiom,
% 27.83/28.15 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__take__subset,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_take__drop,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_in__set__takeD,axiom,
% 27.83/28.15 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 27.83/28.15 ( 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))))
% 27.83/28.15 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__empty2,axiom,
% 27.83/28.15 ! [V_xs_2,T_b] :
% 27.83/28.15 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2)
% 27.83/28.15 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__empty,axiom,
% 27.83/28.15 ! [V_xs_2,T_b] :
% 27.83/28.15 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.15 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_drop__Nil,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_in__set__dropD,axiom,
% 27.83/28.15 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 27.83/28.15 ( 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))))
% 27.83/28.15 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_length__drop,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__append,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_drop__drop,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_drop__0,axiom,
% 27.83/28.15 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 27.83/28.15
% 27.83/28.15 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_drop__Cons,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_drop__Suc__Cons,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__ConsD,axiom,
% 27.83/28.15 ! [V_xs_2,V_x_2,V_y_2,T_b] :
% 27.83/28.15 ( 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))))
% 27.83/28.15 => ( V_y_2 = V_x_2
% 27.83/28.15 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_drop__1__Cons,axiom,
% 27.83/28.15 ! [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 ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__subset__Cons,axiom,
% 27.83/28.15 ! [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)))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_nth__via__drop,axiom,
% 27.83/28.15 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 27.83/28.15 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 27.83/28.15 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__drop__subset__set__drop,axiom,
% 27.83/28.15 ! [V_xs_2,T_b,V_m_2,V_n_2] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2))
% 27.83/28.15 => 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)))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__drop__subset,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_drop__take,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_append__take__drop__id,axiom,
% 27.83/28.15 ! [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 ).
% 27.83/28.15
% 27.83/28.15 fof(fact_notin__set__sublistI,axiom,
% 27.83/28.15 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 27.83/28.15 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.15 => ~ 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)))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_in__set__sublistD,axiom,
% 27.83/28.15 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 27.83/28.15 ( 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))))
% 27.83/28.15 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__sublist__subset,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_card__length,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_all__set__conv__all__nth,axiom,
% 27.83/28.15 ! [V_Pa_2,V_xs_2,T_b] :
% 27.83/28.15 ( ! [B_x] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.15 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 27.83/28.15 <=> ! [B_i] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__take__subset__set__take,axiom,
% 27.83/28.15 ! [V_xs_2,T_b,V_n_2,V_m_2] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.15 => 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)))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_drop__eq__Nil,axiom,
% 27.83/28.15 ! [V_xs_2,V_n_2,T_b] :
% 27.83/28.15 ( hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 27.83/28.15 <=> 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)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_drop__all,axiom,
% 27.83/28.15 ! [V_n,V_xs,T_a] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_drop__append,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_append__eq__conv__conj,axiom,
% 27.83/28.15 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 27.83/28.15 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2
% 27.83/28.15 <=> ( 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)
% 27.83/28.15 & 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) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list__size__estimation,axiom,
% 27.83/28.15 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 27.83/28.15 => 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))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list__size__estimation_H,axiom,
% 27.83/28.15 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 27.83/28.15 => 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))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_in__lists__conv__set,axiom,
% 27.83/28.15 ! [V_A_2,V_xs_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 27.83/28.15 <=> ! [B_x] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.15 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_length__pos__if__in__set,axiom,
% 27.83/28.15 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_nth__mem,axiom,
% 27.83/28.15 ! [V_xs_2,T_b,V_n_2] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_in__set__conv__nth,axiom,
% 27.83/28.15 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.15 <=> ? [B_i] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lists__eq__set,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_drop__Cons_H,axiom,
% 27.83/28.15 ! [V_xs,V_x,T_a,V_n] :
% 27.83/28.15 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.15 => 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) )
% 27.83/28.15 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.15 => 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) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_nth__drop,axiom,
% 27.83/28.15 ! [V_xs,T_a,V_i,V_n] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => 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)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_append__eq__append__conv__if,axiom,
% 27.83/28.15 ! [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] :
% 27.83/28.15 ( 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)
% 27.83/28.15 <=> ( ( 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)))
% 27.83/28.15 => ( 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)
% 27.83/28.15 & 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) ) )
% 27.83/28.15 & ( ~ 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)))
% 27.83/28.15 => ( 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
% 27.83/28.15 & 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 ) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__conv__nth,axiom,
% 27.83/28.15 ! [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))))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_nth__drop_H,axiom,
% 27.83/28.15 ! [V_xs,T_a,V_i] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_drop__Cons__number__of,axiom,
% 27.83/28.15 ! [V_xs,V_x,T_a,V_v] :
% 27.83/28.15 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.15 => 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) )
% 27.83/28.15 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.15 => 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) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_take__add,axiom,
% 27.83/28.15 ! [V_xs,T_a,V_j,V_i] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_finite__lists__length__eq,axiom,
% 27.83/28.15 ! [V_n_2,V_A_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.15 => 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))))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__sublist,axiom,
% 27.83/28.15 ! [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))))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_select,axiom,
% 27.83/28.15 ! [V_s_2,T_b,V_xs_2] :
% 27.83/28.15 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_take__hd__drop,axiom,
% 27.83/28.15 ! [V_xs,T_a,V_n] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_hd_Osimps,axiom,
% 27.83/28.15 ! [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 ).
% 27.83/28.15
% 27.83/28.15 fof(fact_hd__append2,axiom,
% 27.83/28.15 ! [V_ys,T_a,V_xs] :
% 27.83/28.15 ( V_xs != c_List_Olist_ONil(T_a)
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_hd__append,axiom,
% 27.83/28.15 ! [V_ys,T_a,V_xs] :
% 27.83/28.15 ( ( V_xs = c_List_Olist_ONil(T_a)
% 27.83/28.15 => 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) )
% 27.83/28.15 & ( V_xs != c_List_Olist_ONil(T_a)
% 27.83/28.15 => 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) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_hd__in__set,axiom,
% 27.83/28.15 ! [T_b,V_xs_2] :
% 27.83/28.15 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_hd__conv__nth,axiom,
% 27.83/28.15 ! [T_a,V_xs] :
% 27.83/28.15 ( V_xs != c_List_Olist_ONil(T_a)
% 27.83/28.15 => 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)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_hd__drop__conv__nth,axiom,
% 27.83/28.15 ! [V_n,T_a,V_xs] :
% 27.83/28.15 ( V_xs != c_List_Olist_ONil(T_a)
% 27.83/28.15 => ( 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)))
% 27.83/28.15 => 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) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_upd__conv__take__nth__drop,axiom,
% 27.83/28.15 ! [V_a,V_xs,T_a,V_i] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__zip,axiom,
% 27.83/28.15 ! [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)))))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_update__zip,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list__update__code_I2_J,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list__update__code_I3_J,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_take__zip,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_length__zip,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_zip__update,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list__update__code_I1_J,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list__update_Osimps_I1_J,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list__update__nonempty,axiom,
% 27.83/28.15 ! [V_x_2,V_k_2,V_xs_2,T_b] :
% 27.83/28.15 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b)
% 27.83/28.15 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_zip_Osimps_I1_J,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_zip__Nil,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list__update__swap,axiom,
% 27.83/28.15 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 27.83/28.15 ( V_i != V_i_H
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list__update__overwrite,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_length__list__update,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_zip__append,axiom,
% 27.83/28.15 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 27.83/28.15 ( 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)
% 27.83/28.15 => ( 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)
% 27.83/28.15 => 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list__update__id,axiom,
% 27.83/28.15 ! [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 ).
% 27.83/28.15
% 27.83/28.15 fof(fact_nth__list__update__neq,axiom,
% 27.83/28.15 ! [V_x,V_xs,T_a,V_j,V_i] :
% 27.83/28.15 ( V_i != V_j
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_drop__zip,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list__update__beyond,axiom,
% 27.83/28.15 ! [V_x,V_i,V_xs,T_a] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__update__subsetI,axiom,
% 27.83/28.15 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.15 => 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__update__subset__insert,axiom,
% 27.83/28.15 ! [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)))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_zip__Cons__Cons,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list__update__append1,axiom,
% 27.83/28.15 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list__update__length,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_nth__list__update__eq,axiom,
% 27.83/28.15 ! [V_x,V_xs,T_a,V_i] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => 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 ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list__update__same__conv,axiom,
% 27.83/28.15 ! [V_x_2,V_xs_2,T_b,V_i_2] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 27.83/28.15 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_nth__list__update,axiom,
% 27.83/28.15 ! [V_x,V_j,V_xs,T_a,V_i] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => ( ( V_i = V_j
% 27.83/28.15 => 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 )
% 27.83/28.15 & ( V_i != V_j
% 27.83/28.15 => 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) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list__update_Osimps_I2_J,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_in__set__zipE,axiom,
% 27.83/28.15 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 27.83/28.15 ( 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))))
% 27.83/28.15 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.15 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__zip__rightD,axiom,
% 27.83/28.15 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 27.83/28.15 ( 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))))
% 27.83/28.15 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__zip__leftD,axiom,
% 27.83/28.15 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 27.83/28.15 ( 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))))
% 27.83/28.15 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_zip__same,axiom,
% 27.83/28.15 ! [V_xs_2,V_b_2,V_a_2,T_b] :
% 27.83/28.15 ( 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))))
% 27.83/28.15 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.15 & V_a_2 = V_b_2 ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_nth__zip,axiom,
% 27.83/28.15 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => ( 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)))
% 27.83/28.15 => 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_zip__append2,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_zip__append1,axiom,
% 27.83/28.15 ! [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))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__update__memI,axiom,
% 27.83/28.15 ! [V_x_2,V_xs_2,T_b,V_n_2] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => 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)))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list__update__append,axiom,
% 27.83/28.15 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 27.83/28.15 ( ( 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)))
% 27.83/28.15 => 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) )
% 27.83/28.15 & ( ~ 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)))
% 27.83/28.15 => 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrel1__iff__update,axiom,
% 27.83/28.15 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 <=> ? [B_y,B_n] :
% 27.83/28.15 ( 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))
% 27.83/28.15 & 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)))
% 27.83/28.15 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listrel__iff__zip,axiom,
% 27.83/28.15 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 <=> ( 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)
% 27.83/28.15 & ! [B_x] :
% 27.83/28.15 ( 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))))
% 27.83/28.15 => 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)) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_ball__empty,axiom,
% 27.83/28.15 ! [V_Pa_2,T_b,B_x] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 27.83/28.15 => hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Powp__def,axiom,
% 27.83/28.15 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2))
% 27.83/28.15 <=> ! [B_x] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 27.83/28.15 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_congruent__def,axiom,
% 27.83/28.15 ! [V_f_2,V_r_2,T_c,T_b] :
% 27.83/28.15 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 27.83/28.15 <=> ! [B_x] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 27.83/28.15 => 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list__eq__iff__zip__eq,axiom,
% 27.83/28.15 ! [T_b,V_ys_2,V_xs_2] :
% 27.83/28.15 ( V_xs_2 = V_ys_2
% 27.83/28.15 <=> ( 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)
% 27.83/28.15 & ! [B_x] :
% 27.83/28.15 ( 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))))
% 27.83/28.15 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_refl__on__def_H,axiom,
% 27.83/28.15 ! [V_r_2,V_A_2,T_b] :
% 27.83/28.15 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 27.83/28.15 <=> ( ! [B_x] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 27.83/28.15 => 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)) )
% 27.83/28.15 & ! [B_x] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.15 => 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)) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_zip__Cons1,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_zip__Cons,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_triples__valid__Suc,axiom,
% 27.83/28.15 ! [V_n_2,V_ts_2,T_b] :
% 27.83/28.15 ( ! [B_x] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2))
% 27.83/28.15 => c_Hoare__Mirabelle_Otriple__valid(T_b,hAPP(c_Nat_OSuc,V_n_2),B_x) )
% 27.83/28.15 => ! [B_x] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2))
% 27.83/28.15 => c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,B_x) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list_Osimps_I5_J,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list_Osimps_I4_J,axiom,
% 27.83/28.15 ! [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 ).
% 27.83/28.15
% 27.83/28.15 fof(fact_hoare__valids__def,axiom,
% 27.83/28.15 ! [V_ts_2,V_Ga_2,T_b] :
% 27.83/28.15 ( c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,V_ts_2)
% 27.83/28.15 <=> ! [B_n] :
% 27.83/28.15 ( ! [B_x] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_Ga_2))
% 27.83/28.15 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) )
% 27.83/28.15 => ! [B_x] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2))
% 27.83/28.15 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rotate1__def,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__rotate1,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rotate1__is__Nil__conv,axiom,
% 27.83/28.15 ! [V_xs_2,T_b] :
% 27.83/28.15 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 27.83/28.15 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_length__rotate1,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rotate__simps,axiom,
% 27.83/28.15 ! [V_xs,V_x,T_b,T_a] :
% 27.83/28.15 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 27.83/28.15 & 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rotate1__length01,axiom,
% 27.83/28.15 ! [V_xs,T_a] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rotate1__hd__tl,axiom,
% 27.83/28.15 ! [T_a,V_xs] :
% 27.83/28.15 ( V_xs != c_List_Olist_ONil(T_a)
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_distinct__list__update,axiom,
% 27.83/28.15 ! [V_i_2,V_a_2,V_xs_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 27.83/28.15 => ( ~ 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))))))
% 27.83/28.15 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_distinct1__rotate,axiom,
% 27.83/28.15 ! [V_xs_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)))
% 27.83/28.15 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_distinct__drop,axiom,
% 27.83/28.15 ! [V_i,V_xs,T_a] :
% 27.83/28.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 27.83/28.15 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_drop__tl,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_tl__drop,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_tl_Osimps_I2_J,axiom,
% 27.83/28.15 ! [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 ).
% 27.83/28.15
% 27.83/28.15 fof(fact_tl_Osimps_I1_J,axiom,
% 27.83/28.15 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_distinct_Osimps_I1_J,axiom,
% 27.83/28.15 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_distinct__take,axiom,
% 27.83/28.15 ! [V_i,V_xs,T_a] :
% 27.83/28.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 27.83/28.15 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_distinct__tl,axiom,
% 27.83/28.15 ! [V_xs,T_a] :
% 27.83/28.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 27.83/28.15 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_distinct__sublistI,axiom,
% 27.83/28.15 ! [V_I_2,V_xs_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 27.83/28.15 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_distinct__zipI1,axiom,
% 27.83/28.15 ! [V_ys,T_b,V_xs,T_a] :
% 27.83/28.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 27.83/28.15 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_distinct__zipI2,axiom,
% 27.83/28.15 ! [V_xs,T_b,V_ys,T_a] :
% 27.83/28.15 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 27.83/28.15 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_tl__append2,axiom,
% 27.83/28.15 ! [V_ys,T_a,V_xs] :
% 27.83/28.15 ( V_xs != c_List_Olist_ONil(T_a)
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_take__tl,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_drop__Suc,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_distinct_Osimps_I2_J,axiom,
% 27.83/28.15 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))
% 27.83/28.15 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.15 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_card__distinct,axiom,
% 27.83/28.15 ! [V_xs_2,T_b] :
% 27.83/28.15 ( 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)
% 27.83/28.15 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_distinct__card,axiom,
% 27.83/28.15 ! [V_xs_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_distinct__conv__nth,axiom,
% 27.83/28.15 ! [V_xs_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 27.83/28.15 <=> ! [B_i] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => ! [B_j] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => ( B_i != B_j
% 27.83/28.15 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_nth__eq__iff__index__eq,axiom,
% 27.83/28.15 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 27.83/28.15 => ( 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)))
% 27.83/28.15 => ( 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)))
% 27.83/28.15 => ( 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)
% 27.83/28.15 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_tl__append,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_distinct__append,axiom,
% 27.83/28.15 ! [V_ys_2,V_xs_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 27.83/28.15 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 27.83/28.15 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 27.83/28.15 & 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_length__tl,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_tl__take,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_take__Suc,axiom,
% 27.83/28.15 ! [V_n,T_a,V_xs] :
% 27.83/28.15 ( V_xs != c_List_Olist_ONil(T_a)
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_fold1__set,axiom,
% 27.83/28.15 ! [V_xs_2,T_b] :
% 27.83/28.15 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 27.83/28.15 => ( V_xs_2 != c_List_Olist_ONil(T_b)
% 27.83/28.15 => 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_hd__rotate__conv__nth,axiom,
% 27.83/28.15 ! [V_n,T_a,V_xs] :
% 27.83/28.15 ( V_xs != c_List_Olist_ONil(T_a)
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_distinct__rotate,axiom,
% 27.83/28.15 ! [V_xs_2,V_n_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)))
% 27.83/28.15 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_sum__eq__0__conv,axiom,
% 27.83/28.15 ! [V_ns_2,V_m_2] :
% 27.83/28.15 ( 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)
% 27.83/28.15 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.15 & ! [B_x] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 27.83/28.15 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__rotate,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_foldl__absorb0,axiom,
% 27.83/28.15 ! [V_zs_2,V_x_2,T_b] :
% 27.83/28.15 ( class_Groups_Omonoid__add(T_b)
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rotate__rotate,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_foldl__assoc,axiom,
% 27.83/28.15 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 27.83/28.15 ( class_Groups_Osemigroup__add(T_b)
% 27.83/28.15 => 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)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rotate__add,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rotate0,axiom,
% 27.83/28.15 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_start__le__sum,axiom,
% 27.83/28.15 ! [V_ns_2,V_n_2,V_m_2] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_foldl__Nil,axiom,
% 27.83/28.15 ! [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 ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rotate__is__Nil__conv,axiom,
% 27.83/28.15 ! [V_xs_2,V_n_2,T_b] :
% 27.83/28.15 ( hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 27.83/28.15 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_length__rotate,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_foldl__append,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_foldl__Cons,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rotate1__rotate__swap,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rotate__def,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rotate__conv__mod,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rotate__Suc,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rotate__id,axiom,
% 27.83/28.15 ! [V_xs,T_a,V_n] :
% 27.83/28.15 ( 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)
% 27.83/28.15 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rotate__length01,axiom,
% 27.83/28.15 ! [V_n,V_xs,T_a] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_elem__le__sum,axiom,
% 27.83/28.15 ! [V_ns_2,V_n_2] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Sup__fin__set__fold,axiom,
% 27.83/28.15 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.15 ( class_Lattices_Olattice(T_b)
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Inf__fin__set__fold,axiom,
% 27.83/28.15 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.15 ( class_Lattices_Olattice(T_b)
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Min__fin__set__fold,axiom,
% 27.83/28.15 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.15 ( class_Orderings_Olinorder(T_b)
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_Max__fin__set__fold,axiom,
% 27.83/28.15 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.15 ( class_Orderings_Olinorder(T_b)
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 27.83/28.15 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.15 ( class_Orderings_Olinorder(T_b)
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 27.83/28.15 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.15 ( class_Orderings_Olinorder(T_b)
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_SUPR__set__fold,axiom,
% 27.83/28.15 ! [V_f_2,V_xs_2,T_c,T_b] :
% 27.83/28.15 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_rotate__drop__take,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_greaterThanLessThan__upto,axiom,
% 27.83/28.15 ! [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)))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_last__list__update,axiom,
% 27.83/28.15 ! [V_x,V_k,T_a,V_xs] :
% 27.83/28.15 ( V_xs != c_List_Olist_ONil(T_a)
% 27.83/28.15 => ( ( 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))
% 27.83/28.15 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 27.83/28.15 & ( 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))
% 27.83/28.15 => 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) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_distinct__upto,axiom,
% 27.83/28.15 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_upto__empty,axiom,
% 27.83/28.15 ! [V_i,V_j] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 27.83/28.15 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_atLeastAtMost__upto,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__upto,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_last_Osimps,axiom,
% 27.83/28.15 ! [V_x,T_a,V_xs] :
% 27.83/28.15 ( ( V_xs = c_List_Olist_ONil(T_a)
% 27.83/28.15 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 27.83/28.15 & ( V_xs != c_List_Olist_ONil(T_a)
% 27.83/28.15 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_last__ConsR,axiom,
% 27.83/28.15 ! [V_x,T_a,V_xs] :
% 27.83/28.15 ( V_xs != c_List_Olist_ONil(T_a)
% 27.83/28.15 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_last__ConsL,axiom,
% 27.83/28.15 ! [V_x,T_a,V_xs] :
% 27.83/28.15 ( V_xs = c_List_Olist_ONil(T_a)
% 27.83/28.15 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_last__append,axiom,
% 27.83/28.15 ! [V_xs,T_a,V_ys] :
% 27.83/28.15 ( ( V_ys = c_List_Olist_ONil(T_a)
% 27.83/28.15 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 27.83/28.15 & ( V_ys != c_List_Olist_ONil(T_a)
% 27.83/28.15 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_last__appendR,axiom,
% 27.83/28.15 ! [V_xs,T_a,V_ys] :
% 27.83/28.15 ( V_ys != c_List_Olist_ONil(T_a)
% 27.83/28.15 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_last__appendL,axiom,
% 27.83/28.15 ! [V_xs,T_a,V_ys] :
% 27.83/28.15 ( V_ys = c_List_Olist_ONil(T_a)
% 27.83/28.15 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_last__in__set,axiom,
% 27.83/28.15 ! [T_b,V_as_2] :
% 27.83/28.15 ( V_as_2 != c_List_Olist_ONil(T_b)
% 27.83/28.15 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_last__snoc,axiom,
% 27.83/28.15 ! [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 ).
% 27.83/28.15
% 27.83/28.15 fof(fact_last__drop,axiom,
% 27.83/28.15 ! [V_xs,T_a,V_n] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_upto_Osimps,axiom,
% 27.83/28.15 ! [V_j,V_i] :
% 27.83/28.15 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 27.83/28.15 => 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)) )
% 27.83/28.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 27.83/28.15 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_atLeastLessThan__upto,axiom,
% 27.83/28.15 ! [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)))) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_greaterThanAtMost__upto,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_upto__rec__number__of,axiom,
% 27.83/28.15 ! [V_n,V_m] :
% 27.83/28.15 ( ( 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)))
% 27.83/28.15 => 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))) )
% 27.83/28.15 & ( ~ 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)))
% 27.83/28.15 => 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) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_last__conv__nth,axiom,
% 27.83/28.15 ! [T_a,V_xs] :
% 27.83/28.15 ( V_xs != c_List_Olist_ONil(T_a)
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_upto_Opsimps,axiom,
% 27.83/28.15 ! [V_j_2,V_i_2] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 27.83/28.15 => 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)) )
% 27.83/28.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 27.83/28.15 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_nat__list__def,axiom,
% 27.83/28.15 ! [V_l_2] :
% 27.83/28.15 ( c_List_Onat__list(V_l_2)
% 27.83/28.15 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_upto_Opinduct,axiom,
% 27.83/28.15 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => ( ! [B_i,B_j] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 27.83/28.15 => 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)) )
% 27.83/28.15 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) )
% 27.83/28.15 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lexord__linear,axiom,
% 27.83/28.15 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 27.83/28.15 ( ! [B_a,B_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 | B_a = B_b
% 27.83/28.15 | 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)) )
% 27.83/28.15 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.15 | V_x_2 = V_y_2
% 27.83/28.15 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_lists_Osimps,axiom,
% 27.83/28.15 ! [V_A_2,V_a_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2)))
% 27.83/28.15 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 27.83/28.15 | ? [B_a,B_l] :
% 27.83/28.15 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l)
% 27.83/28.15 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 27.83/28.15 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listsum__setsum__nth,axiom,
% 27.83/28.15 ! [V_xs_2,T_b] :
% 27.83/28.15 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listsum__simps_I1_J,axiom,
% 27.83/28.15 ! [T_a] :
% 27.83/28.15 ( class_Groups_Omonoid__add(T_a)
% 27.83/28.15 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_elem__le__listsum__nat,axiom,
% 27.83/28.15 ! [V_ns,V_k] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listsum__simps_I2_J,axiom,
% 27.83/28.15 ! [V_xs,V_x,T_a] :
% 27.83/28.15 ( class_Groups_Omonoid__add(T_a)
% 27.83/28.15 => 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)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listsum__append,axiom,
% 27.83/28.15 ! [V_ys,V_xs,T_a] :
% 27.83/28.15 ( class_Groups_Omonoid__add(T_a)
% 27.83/28.15 => 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)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 27.83/28.15 ! [V_ns_2] :
% 27.83/28.15 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.15 <=> ! [B_x] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 27.83/28.15 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listsum__update__nat,axiom,
% 27.83/28.15 ! [V_n,V_ns,V_k] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => 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)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listsum__foldl,axiom,
% 27.83/28.15 ! [T_b] :
% 27.83/28.15 ( class_Groups_Omonoid__add(T_b)
% 27.83/28.15 => 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)) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 27.83/28.15 ! [V_xs_2,T_b] :
% 27.83/28.15 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.15 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 27.83/28.15 => 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_list__size__pointwise,axiom,
% 27.83/28.15 ! [V_g_2,V_f_2,V_xs_2,T_b] :
% 27.83/28.15 ( ! [B_x] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_butlast__take,axiom,
% 27.83/28.15 ! [V_xs,T_a,V_n] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_butlast_Osimps_I1_J,axiom,
% 27.83/28.15 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_drop__butlast,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_butlast__drop,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_in__set__butlastD,axiom,
% 27.83/28.15 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 27.83/28.15 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_butlast_Osimps_I2_J,axiom,
% 27.83/28.15 ! [V_x,T_a,V_xs] :
% 27.83/28.15 ( ( V_xs = c_List_Olist_ONil(T_a)
% 27.83/28.15 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 27.83/28.15 & ( V_xs != c_List_Olist_ONil(T_a)
% 27.83/28.15 => 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_butlast__append,axiom,
% 27.83/28.15 ! [V_xs,T_a,V_ys] :
% 27.83/28.15 ( ( V_ys = c_List_Olist_ONil(T_a)
% 27.83/28.15 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 27.83/28.15 & ( V_ys != c_List_Olist_ONil(T_a)
% 27.83/28.15 => 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)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_distinct__butlast,axiom,
% 27.83/28.15 ! [T_a,V_xs] :
% 27.83/28.15 ( V_xs != c_List_Olist_ONil(T_a)
% 27.83/28.15 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 27.83/28.15 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_in__set__butlast__appendI,axiom,
% 27.83/28.15 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 27.83/28.15 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 27.83/28.15 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) )
% 27.83/28.15 => 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))))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_butlast__snoc,axiom,
% 27.83/28.15 ! [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 ).
% 27.83/28.15
% 27.83/28.15 fof(fact_take__butlast,axiom,
% 27.83/28.15 ! [V_xs,T_a,V_n] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_length__butlast,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_butlast__conv__take,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_butlast__list__update,axiom,
% 27.83/28.15 ! [V_x,V_xs,T_a,V_k] :
% 27.83/28.15 ( ( 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))
% 27.83/28.15 => 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) )
% 27.83/28.15 & ( 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))
% 27.83/28.15 => 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) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_append__butlast__last__id,axiom,
% 27.83/28.15 ! [T_a,V_xs] :
% 27.83/28.15 ( V_xs != c_List_Olist_ONil(T_a)
% 27.83/28.15 => 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 ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_snoc__eq__iff__butlast,axiom,
% 27.83/28.15 ! [V_ys_2,V_x_2,V_xs_2,T_b] :
% 27.83/28.15 ( 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
% 27.83/28.15 <=> ( V_ys_2 != c_List_Olist_ONil(T_b)
% 27.83/28.15 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2
% 27.83/28.15 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_select__weigth__select,axiom,
% 27.83/28.15 ! [T_b,V_xs_2] :
% 27.83/28.15 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_INFI__set__fold,axiom,
% 27.83/28.15 ! [V_f_2,V_xs_2,T_c,T_b] :
% 27.83/28.15 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_INT__E,axiom,
% 27.83/28.15 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 27.83/28.15 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_INT__D,axiom,
% 27.83/28.15 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 27.83/28.15 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_INF1__D,axiom,
% 27.83/28.15 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.15 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_INF1__E,axiom,
% 27.83/28.15 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 27.83/28.15 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_INF2__D,axiom,
% 27.83/28.15 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.15 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_INF2__E,axiom,
% 27.83/28.15 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 27.83/28.15 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_finite__INT,axiom,
% 27.83/28.15 ! [V_A_2,T_c,V_I_2,T_b] :
% 27.83/28.15 ( ? [B_x] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 27.83/28.15 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_inj__mapI,axiom,
% 27.83/28.15 ! [V_f_2,T_c,T_b] :
% 27.83/28.15 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listsum__subtractf,axiom,
% 27.83/28.15 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 27.83/28.15 ( class_Groups_Oab__group__add(T_b)
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listsum__0,axiom,
% 27.83/28.15 ! [V_xs_2,T_c,T_b] :
% 27.83/28.15 ( class_Groups_Omonoid__add(T_b)
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listsum__const__mult,axiom,
% 27.83/28.15 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] :
% 27.83/28.15 ( class_Rings_Osemiring__0(T_b)
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listsum__mult__const,axiom,
% 27.83/28.15 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] :
% 27.83/28.15 ( class_Rings_Osemiring__0(T_b)
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_listsum__addf,axiom,
% 27.83/28.15 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 27.83/28.15 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_map__update,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_map__eq__imp__length__eq,axiom,
% 27.83/28.15 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] :
% 27.83/28.15 ( 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)
% 27.83/28.15 => 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) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_length__map,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_map__butlast,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_foldl__map,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_List_Omap_Oidentity,axiom,
% 27.83/28.15 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_List_Omap_Ocompositionality,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_map__map,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_map__eq__conv,axiom,
% 27.83/28.15 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] :
% 27.83/28.15 ( 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)
% 27.83/28.15 <=> ! [B_x] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 27.83/28.15 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_set__map,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_map__tl,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_zip__same__conv__map,axiom,
% 27.83/28.15 ! [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) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_zip__map__map,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_zip__map1,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_map__zip__map,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_map__zip__map2,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_zip__map2,axiom,
% 27.83/28.15 ! [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)) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_INF__INT__eq2,axiom,
% 27.83/28.15 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 <=> 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_INT__subset__iff,axiom,
% 27.83/28.15 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] :
% 27.83/28.15 ( 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)))
% 27.83/28.15 <=> ! [B_x] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 27.83/28.15 => 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))) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_le__INF__iff,axiom,
% 27.83/28.15 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] :
% 27.83/28.15 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.15 => ( 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)))
% 27.83/28.15 <=> ! [B_x] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 27.83/28.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_INT__lower,axiom,
% 27.83/28.15 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.15 => 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_INF__INT__eq,axiom,
% 27.83/28.15 ! [V_x_2,V_r_2,T_c,T_b] :
% 27.83/28.15 ( 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))
% 27.83/28.15 <=> 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))) ) ).
% 27.83/28.15
% 27.83/28.15 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 27.83/28.15 ! [V_B_2,V_A_2,T_b,T_c] :
% 27.83/28.15 ( 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))
% 27.83/28.15 <=> ! [B_x] :
% 27.83/28.15 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 27.83/28.16 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 27.83/28.16 ! [V_B_2,V_A_2,T_c,T_b] :
% 27.83/28.16 ( 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)
% 27.83/28.16 <=> ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 27.83/28.16 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_map__injective,axiom,
% 27.83/28.16 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 27.83/28.16 ( 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)
% 27.83/28.16 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 27.83/28.16 => V_xs_2 = V_ys_2 ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_inj__map__eq__map,axiom,
% 27.83/28.16 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 27.83/28.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.16 => ( 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)
% 27.83/28.16 <=> V_xs_2 = V_ys_2 ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__empty,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__constant,axiom,
% 27.83/28.16 ! [V_c_2,T_c,T_b,V_A_2] :
% 27.83/28.16 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.16 => 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)) )
% 27.83/28.16 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.16 => 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 ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__Un,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__insert__distrib,axiom,
% 27.83/28.16 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__extend__simps_I5_J,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__simps_I5_J,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INF__const,axiom,
% 27.83/28.16 ! [V_M_2,T_b,V_A_2,T_c] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 27.83/28.16 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.16 => 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 ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__extend__simps_I10_J,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__simps_I10_J,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__extend__simps_I2_J,axiom,
% 27.83/28.16 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 27.83/28.16 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.16 => 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 )
% 27.83/28.16 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__extend__simps_I1_J,axiom,
% 27.83/28.16 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 27.83/28.16 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.16 => 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 )
% 27.83/28.16 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__insert,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__Int__distrib,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Un__INT__distrib2,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__extend__simps_I6_J,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Un__INT__distrib,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__extend__simps_I7_J,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__simps_I6_J,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__simps_I7_J,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_vimage__INT,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_map__ident,axiom,
% 27.83/28.16 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Pow__INT__eq,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INF__commute,axiom,
% 27.83/28.16 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 => 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))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INFI__apply,axiom,
% 27.83/28.16 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INF__less__iff,axiom,
% 27.83/28.16 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] :
% 27.83/28.16 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 & class_Orderings_Olinorder(T_b) )
% 27.83/28.16 => ( 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))
% 27.83/28.16 <=> ? [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 27.83/28.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__simps_I9_J,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__extend__simps_I9_J,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__iff,axiom,
% 27.83/28.16 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 <=> ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 27.83/28.16 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__absorb,axiom,
% 27.83/28.16 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_UN__simps_I7_J,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_UN__extend__simps_I7_J,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Image__INT__subset,axiom,
% 27.83/28.16 ! [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)))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Compl__INT,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Compl__UN,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_take__map,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_map__append,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_drop__map,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Collect__ball__eq,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INFI__bool__eq,axiom,
% 27.83/28.16 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_rotate__map,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_map_Osimps_I2_J,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Nil__is__map__conv,axiom,
% 27.83/28.16 ! [V_xs_2,V_f_2,T_c,T_b] :
% 27.83/28.16 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)
% 27.83/28.16 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_map_Osimps_I1_J,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_map__is__Nil__conv,axiom,
% 27.83/28.16 ! [V_xs_2,V_f_2,T_b,T_c] :
% 27.83/28.16 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 27.83/28.16 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_hd__map,axiom,
% 27.83/28.16 ! [V_f_2,T_c,T_b,V_xs_2] :
% 27.83/28.16 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_last__map,axiom,
% 27.83/28.16 ! [V_f_2,T_c,T_b,V_xs_2] :
% 27.83/28.16 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_map__comp__map,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_List_Omap_Ocomp,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_List_Omap_Oid,axiom,
% 27.83/28.16 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_inj__on__map__eq__map,axiom,
% 27.83/28.16 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => ( 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)
% 27.83/28.16 <=> V_xs_2 = V_ys_2 ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_map__inj__on,axiom,
% 27.83/28.16 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 27.83/28.16 ( 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)
% 27.83/28.16 => ( 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)))
% 27.83/28.16 => V_xs_2 = V_ys_2 ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_nth__map,axiom,
% 27.83/28.16 ! [V_f_2,T_c,V_xs_2,T_b,V_n_2] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_map__fun__upd,axiom,
% 27.83/28.16 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] :
% 27.83/28.16 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_distinct__map,axiom,
% 27.83/28.16 ! [V_xs_2,V_f_2,T_c,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 27.83/28.16 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 27.83/28.16 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_listsum__abs,axiom,
% 27.83/28.16 ! [V_xs_2,T_b] :
% 27.83/28.16 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 27.83/28.16 => 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)))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_uminus__listsum__map,axiom,
% 27.83/28.16 ! [V_xs_2,V_f_2,T_c,T_b] :
% 27.83/28.16 ( class_Groups_Oab__group__add(T_b)
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INF__subset,axiom,
% 27.83/28.16 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.16 => 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))) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INTER__def,axiom,
% 27.83/28.16 ! [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)))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__simps_I1_J,axiom,
% 27.83/28.16 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 27.83/28.16 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.16 => 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)) )
% 27.83/28.16 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.16 => 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) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__simps_I2_J,axiom,
% 27.83/28.16 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 27.83/28.16 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.16 => 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)) )
% 27.83/28.16 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__extend__simps_I3_J,axiom,
% 27.83/28.16 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 27.83/28.16 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.16 => 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) )
% 27.83/28.16 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__simps_I3_J,axiom,
% 27.83/28.16 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 27.83/28.16 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.16 => 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)) )
% 27.83/28.16 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.16 => 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) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_inj__map,axiom,
% 27.83/28.16 ! [V_f_2,T_c,T_b] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_inj__mapD,axiom,
% 27.83/28.16 ! [V_f_2,T_c,T_b] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__extend__simps_I4_J,axiom,
% 27.83/28.16 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 27.83/28.16 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.16 => 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 )
% 27.83/28.16 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_list__size__map,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INF__leI,axiom,
% 27.83/28.16 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 27.83/28.16 => 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))) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 27.83/28.16 ! [V_f_2,V_xs_2,T_b,T_c] :
% 27.83/28.16 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.16 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__greaterThan__UNIV,axiom,
% 27.83/28.16 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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__simps_I4_J,axiom,
% 27.83/28.16 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 27.83/28.16 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.16 => 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)) )
% 27.83/28.16 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_listsum__triv,axiom,
% 27.83/28.16 ! [V_xs_2,V_r_2,T_c,T_b] :
% 27.83/28.16 ( class_Rings_Osemiring__1(T_b)
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_pick__same,axiom,
% 27.83/28.16 ! [V_xs_2,T_b,V_l_2] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 27.83/28.16 ! [V_f_2,V_A_2,T_b,T_c] :
% 27.83/28.16 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.16 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.16 => 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))))) )
% 27.83/28.16 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.16 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INF1__iff,axiom,
% 27.83/28.16 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 27.83/28.16 ( 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))
% 27.83/28.16 <=> ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.16 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INF2__iff,axiom,
% 27.83/28.16 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 27.83/28.16 ( 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))
% 27.83/28.16 <=> ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.16 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_exE__some,axiom,
% 27.83/28.16 ! [T_b,V_c_2,V_Pa_2] :
% 27.83/28.16 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 27.83/28.16 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_Pa_2)
% 27.83/28.16 => hBOOL(hAPP(V_Pa_2,V_c_2)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_someI,axiom,
% 27.83/28.16 ! [T_b,V_x_2,V_Pa_2] :
% 27.83/28.16 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.16 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_tfl__some,axiom,
% 27.83/28.16 ! [T_b,B_P] :
% 27.83/28.16 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 27.83/28.16 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_someI__ex,axiom,
% 27.83/28.16 ! [T_b,V_Pa_2] :
% 27.83/28.16 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 27.83/28.16 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_some__eq__ex,axiom,
% 27.83/28.16 ! [T_b,V_Pa_2] :
% 27.83/28.16 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2)))
% 27.83/28.16 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_some__eq__trivial,axiom,
% 27.83/28.16 ! [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 ).
% 27.83/28.16
% 27.83/28.16 fof(fact_some__sym__eq__trivial,axiom,
% 27.83/28.16 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 27.83/28.16
% 27.83/28.16 fof(fact_times__code__numeral__code,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 27.83/28.16 ! [V_m_2,V_n_2] :
% 27.83/28.16 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 27.83/28.16 <=> V_n_2 = V_m_2 ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 27.83/28.16 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_zero__code__numeral__def,axiom,
% 27.83/28.16 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_one__code__numeral__def,axiom,
% 27.83/28.16 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_less__code__numeral__code,axiom,
% 27.83/28.16 ! [V_m_2,V_n_2] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 27.83/28.16 ! [V_y_2,V_x_2] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 27.83/28.16 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 27.83/28.16 <=> V_x_2 = V_y_2 ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_map__fst__zip,axiom,
% 27.83/28.16 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 27.83/28.16 ( 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)
% 27.83/28.16 => 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 ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_map__snd__zip,axiom,
% 27.83/28.16 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 27.83/28.16 ( 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)
% 27.83/28.16 => 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 ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_number__of__code__numeral__def,axiom,
% 27.83/28.16 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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_zip__map__fst__snd,axiom,
% 27.83/28.16 ! [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 ).
% 27.83/28.16
% 27.83/28.16 fof(fact_plus__code__numeral__code,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_less__eq__code__numeral__code,axiom,
% 27.83/28.16 ! [V_m_2,V_n_2] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_subtract__code__numeral__code,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_pick__member,axiom,
% 27.83/28.16 ! [V_xs_2,T_b,V_i_2] :
% 27.83/28.16 ( 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))))
% 27.83/28.16 => 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)))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_zip__eq__conv,axiom,
% 27.83/28.16 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] :
% 27.83/28.16 ( 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)
% 27.83/28.16 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2
% 27.83/28.16 <=> ( 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
% 27.83/28.16 & 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 ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_list__size__conv__listsum,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_code__numeral__not__eq__zero,axiom,
% 27.83/28.16 ! [V_i_2] :
% 27.83/28.16 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 27.83/28.16 <=> 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 27.83/28.16 ! [V_l_2,V_k_2,V_f_2,T_b] :
% 27.83/28.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.16 => 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))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 27.83/28.16 ! [V_j_2,V_i_2,V_f_2,T_b] :
% 27.83/28.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.16 => 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))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_select__weight__member,axiom,
% 27.83/28.16 ! [V_s_2,V_xs_2,T_b] :
% 27.83/28.16 ( 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))))
% 27.83/28.16 => 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)))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Nitpick_Ocard_H__def,axiom,
% 27.83/28.16 ! [V_A_2,T_b] :
% 27.83/28.16 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.16 => 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)))) )
% 27.83/28.16 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.16 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_select__weight__def,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_scomp__scomp,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_scomp__apply,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_scomp__Pair,axiom,
% 27.83/28.16 ! [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 ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Pair__scomp,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_scomp__def,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_split__paired__Eps,axiom,
% 27.83/28.16 ! [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)))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Eps__split__eq,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_scomp__unfold,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Eps__split,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_iterate_Osimps,axiom,
% 27.83/28.16 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 27.83/28.16 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 27.83/28.16 => 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) )
% 27.83/28.16 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_select__def,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_code__numeral_Onat__of__inject,axiom,
% 27.83/28.16 ! [V_y_2,V_x_2] :
% 27.83/28.16 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 27.83/28.16 <=> V_x_2 = V_y_2 ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 27.83/28.16 ! [V_l_2,V_k_2] :
% 27.83/28.16 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 27.83/28.16 <=> V_k_2 = V_l_2 ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_nat__of__of__nat,axiom,
% 27.83/28.16 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 27.83/28.16
% 27.83/28.16 fof(fact_of__nat__nat__of,axiom,
% 27.83/28.16 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 27.83/28.16
% 27.83/28.16 fof(fact_nat__of__inverse,axiom,
% 27.83/28.16 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 27.83/28.16
% 27.83/28.16 fof(fact_type__definition__code__numeral,axiom,
% 27.83/28.16 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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_less__code__numeral__def,axiom,
% 27.83/28.16 ! [V_m_2,V_n_2] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 27.83/28.16 <=> 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))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_nat__of,axiom,
% 27.83/28.16 ! [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)))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_nat__of__number,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_int__of__def,axiom,
% 27.83/28.16 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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_less__eq__code__numeral__def,axiom,
% 27.83/28.16 ! [V_m_2,V_n_2] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 27.83/28.16 <=> 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))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_nat__of__code,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_nat__of__aux__def,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Suc__code__numeral__def,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_minus__code__numeral__def,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_of__nat__inverse,axiom,
% 27.83/28.16 ! [V_y_2] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 27.83/28.16 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_plus__code__numeral__def,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_div__code__numeral__def,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_times__code__numeral__def,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_mod__code__numeral__def,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_code__numeral__decr,axiom,
% 27.83/28.16 ! [V_k] :
% 27.83/28.16 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 27.83/28.16 => 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))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_listsum__mono,axiom,
% 27.83/28.16 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] :
% 27.83/28.16 ( ( class_Groups_Omonoid__add(T_c)
% 27.83/28.16 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 27.83/28.16 => ( ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 27.83/28.16 => 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)))) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_image__INT,axiom,
% 27.83/28.16 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] :
% 27.83/28.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 27.83/28.16 => ( ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 27.83/28.16 => 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)) )
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2))
% 27.83/28.16 => 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)) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_nth__take__lemma,axiom,
% 27.83/28.16 ! [V_ys,V_xs,T_a,V_k] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => ( 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)))
% 27.83/28.16 => ( ! [B_i] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 27.83/28.16 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 27.83/28.16 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_listsum__map__remove1,axiom,
% 27.83/28.16 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] :
% 27.83/28.16 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => 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)))) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_set__remove1__eq,axiom,
% 27.83/28.16 ! [V_x_2,V_xs_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 27.83/28.16 => 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)))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_remove1__commute,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_distinct__remove1,axiom,
% 27.83/28.16 ! [V_x,V_xs,T_a] :
% 27.83/28.16 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 27.83/28.16 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_remove1_Osimps_I2_J,axiom,
% 27.83/28.16 ! [V_xs,T_a,V_y,V_x] :
% 27.83/28.16 ( ( V_x = V_y
% 27.83/28.16 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 27.83/28.16 & ( V_x != V_y
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_remove1_Osimps_I1_J,axiom,
% 27.83/28.16 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_remove1__idem,axiom,
% 27.83/28.16 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.16 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_notin__set__remove1,axiom,
% 27.83/28.16 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 27.83/28.16 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => ~ 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)))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_in__set__remove1,axiom,
% 27.83/28.16 ! [V_xs_2,T_b,V_b_2,V_a_2] :
% 27.83/28.16 ( V_a_2 != V_b_2
% 27.83/28.16 => ( 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))))
% 27.83/28.16 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_set__remove1__subset,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_remove1__append,axiom,
% 27.83/28.16 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 27.83/28.16 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => 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) )
% 27.83/28.16 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_length__remove1,axiom,
% 27.83/28.16 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.16 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => 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)) )
% 27.83/28.16 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => 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) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__list__of__set__remove,axiom,
% 27.83/28.16 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_partition__set,axiom,
% 27.83/28.16 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 27.83/28.16 ( 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)
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__list__of__set__empty,axiom,
% 27.83/28.16 ! [T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_partition__P,axiom,
% 27.83/28.16 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 27.83/28.16 ( 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)
% 27.83/28.16 => ( ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2)))
% 27.83/28.16 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 27.83/28.16 & ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2)))
% 27.83/28.16 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_partition_Osimps_I1_J,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_partition_Osimps_I2_J,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__list__of__set__insert,axiom,
% 27.83/28.16 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.16 => 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)))))) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_lists__IntI,axiom,
% 27.83/28.16 ! [V_B_2,V_A_2,V_l_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2)))
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2)))
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_listsp_ONil,axiom,
% 27.83/28.16 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_insort__key_Osimps_I2_J,axiom,
% 27.83/28.16 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( ( 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)))
% 27.83/28.16 => 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)) )
% 27.83/28.16 & ( ~ 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)))
% 27.83/28.16 => 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)) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_set__insort,axiom,
% 27.83/28.16 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_c)
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_length__insort,axiom,
% 27.83/28.16 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_c)
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_insort__key_Osimps_I1_J,axiom,
% 27.83/28.16 ! [V_x_2,V_f_2,T_b,T_c] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_c)
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_in__listsp__conv__set,axiom,
% 27.83/28.16 ! [V_xs_2,V_A_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 27.83/28.16 <=> ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_listsp__infI,axiom,
% 27.83/28.16 ! [V_B_2,V_l_2,V_A_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2))
% 27.83/28.16 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2))
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_listsp__inf__eq,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_listsp__conj__eq,axiom,
% 27.83/28.16 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 27.83/28.16 ( 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))
% 27.83/28.16 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2))
% 27.83/28.16 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_insort__left__comm,axiom,
% 27.83/28.16 ! [V_xs_2,V_y_2,V_x_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_insort__key__left__comm,axiom,
% 27.83/28.16 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_append__in__listsp__conv,axiom,
% 27.83/28.16 ! [V_ys_2,V_xs_2,V_A_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 27.83/28.16 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 27.83/28.16 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_listsp_Oequations_I2_J,axiom,
% 27.83/28.16 ! [V_a2_2,V_a1_2,V_A_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2)))
% 27.83/28.16 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 27.83/28.16 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_insort__not__Nil,axiom,
% 27.83/28.16 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_c)
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_listsp_Oequations_I1_J,axiom,
% 27.83/28.16 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_remove1__insort,axiom,
% 27.83/28.16 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => 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 ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_distinct__insort,axiom,
% 27.83/28.16 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_c)
% 27.83/28.16 => ( 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)))
% 27.83/28.16 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_listsp__mono,axiom,
% 27.83/28.16 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.16 => 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))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_listsp__lists__eq,axiom,
% 27.83/28.16 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.16 ( 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))
% 27.83/28.16 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_lists__Int__eq,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_insort__insert__insort__key,axiom,
% 27.83/28.16 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( ~ 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))))
% 27.83/28.16 => 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) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_insort__insert__insort,axiom,
% 27.83/28.16 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => 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) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_distinct__insort__insert,axiom,
% 27.83/28.16 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_c)
% 27.83/28.16 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 27.83/28.16 => 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))) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_insort__insert__triv,axiom,
% 27.83/28.16 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_set__insort__insert,axiom,
% 27.83/28.16 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_insort__insert__key__triv,axiom,
% 27.83/28.16 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( 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))))
% 27.83/28.16 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_product_Osimps_I2_J,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_list__all2__def,axiom,
% 27.83/28.16 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 27.83/28.16 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 27.83/28.16 <=> ( 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)
% 27.83/28.16 & ! [B_x] :
% 27.83/28.16 ( 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))))
% 27.83/28.16 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_list__all2__lengthD,axiom,
% 27.83/28.16 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 27.83/28.16 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_list__all2__append,axiom,
% 27.83/28.16 ! [V_vs_2,V_us_2,V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 27.83/28.16 ( 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)
% 27.83/28.16 => ( 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))
% 27.83/28.16 <=> ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 27.83/28.16 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_us_2,V_vs_2) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_list__all2__eq,axiom,
% 27.83/28.16 ! [T_b,V_ys_2,V_xs_2] :
% 27.83/28.16 ( V_xs_2 = V_ys_2
% 27.83/28.16 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_list__all2__takeI,axiom,
% 27.83/28.16 ! [V_n_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 27.83/28.16 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_list__all2__appendI,axiom,
% 27.83/28.16 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_Pa_2,T_c,T_b] :
% 27.83/28.16 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2)
% 27.83/28.16 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_c_2,V_d_2)
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_list__all2__dropI,axiom,
% 27.83/28.16 ! [V_n_2,V_bs_2,V_as_2,V_Pa_2,T_c,T_b] :
% 27.83/28.16 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,V_bs_2)
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_list__all2__Cons,axiom,
% 27.83/28.16 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_Pa_2,T_c,T_b] :
% 27.83/28.16 ( 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))
% 27.83/28.16 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 27.83/28.16 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_list__all2__Nil,axiom,
% 27.83/28.16 ! [V_ys_2,V_Pa_2,T_c,T_b] :
% 27.83/28.16 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,c_List_Olist_ONil(T_b),V_ys_2)
% 27.83/28.16 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_list__all2__Nil2,axiom,
% 27.83/28.16 ! [V_xs_2,V_Pa_2,T_c,T_b] :
% 27.83/28.16 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,c_List_Olist_ONil(T_c))
% 27.83/28.16 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_list__all2__map1,axiom,
% 27.83/28.16 ! [V_bs_2,V_as_2,V_f_2,T_d,V_Pa_2,T_c,T_b] :
% 27.83/28.16 ( 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)
% 27.83/28.16 <=> 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_list__all2__map2,axiom,
% 27.83/28.16 ! [V_bs_2,V_f_2,T_d,V_as_2,V_Pa_2,T_c,T_b] :
% 27.83/28.16 ( 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))
% 27.83/28.16 <=> 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_product_Osimps_I1_J,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_list__all2__nthD2,axiom,
% 27.83/28.16 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 27.83/28.16 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 27.83/28.16 => ( 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)))
% 27.83/28.16 => 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))) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_list__all2__nthD,axiom,
% 27.83/28.16 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 27.83/28.16 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 27.83/28.16 => ( 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)))
% 27.83/28.16 => 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))) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_list__all2__conv__all__nth,axiom,
% 27.83/28.16 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 27.83/28.16 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 27.83/28.16 <=> ( 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)
% 27.83/28.16 & ! [B_i] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => 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))) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_list__all2__update__cong2,axiom,
% 27.83/28.16 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 27.83/28.16 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 27.83/28.16 => ( 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)))
% 27.83/28.16 => 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)) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_list__all2__update__cong,axiom,
% 27.83/28.16 ! [V_y_2,V_x_2,V_ys_2,V_Pa_2,T_c,V_xs_2,T_b,V_i_2] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 27.83/28.16 => 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)) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_distinct__product,axiom,
% 27.83/28.16 ! [V_ys,T_b,V_xs,T_a] :
% 27.83/28.16 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 27.83/28.16 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 27.83/28.16 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_product__list__set,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_length__sublists,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_enum__the__def,axiom,
% 27.83/28.16 ! [V_Pa_2,T_b] : c_Enum_Oenum__the(T_b,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sublists_Osimps_I1_J,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sublists_Osimps_I2_J,axiom,
% 27.83/28.16 ! [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))))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_distinct__set__sublists,axiom,
% 27.83/28.16 ! [V_xs_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 27.83/28.16 => 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)))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sublists__powset,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_set__n__lists,axiom,
% 27.83/28.16 ! [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)))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_list__all2I,axiom,
% 27.83/28.16 ! [V_Pa_2,V_b_2,V_a_2,T_c,T_b] :
% 27.83/28.16 ( ! [B_x] :
% 27.83/28.16 ( 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))))
% 27.83/28.16 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) )
% 27.83/28.16 => ( 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)
% 27.83/28.16 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_distinct__n__lists,axiom,
% 27.83/28.16 ! [V_n,V_xs,T_a] :
% 27.83/28.16 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 27.83/28.16 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_n__lists__Nil,axiom,
% 27.83/28.16 ! [T_a,V_n] :
% 27.83/28.16 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.16 => 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))) )
% 27.83/28.16 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.16 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_n__lists_Osimps_I1_J,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_length__n__lists__elem,axiom,
% 27.83/28.16 ! [V_xs_2,V_n_2,V_ys_2,T_b] :
% 27.83/28.16 ( 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))))
% 27.83/28.16 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_length__n__lists,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_inj__on__mapI,axiom,
% 27.83/28.16 ! [V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_wf__Un,axiom,
% 27.83/28.16 ! [V_s_2,V_r_2,T_b] :
% 27.83/28.16 ( c_Wellfounded_Owf(T_b,V_r_2)
% 27.83/28.16 => ( c_Wellfounded_Owf(T_b,V_s_2)
% 27.83/28.16 => ( 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))
% 27.83/28.16 => 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)) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_UnionI,axiom,
% 27.83/28.16 ! [V_A_2,V_C_2,V_X_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2))
% 27.83/28.16 => 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))) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_DomainI,axiom,
% 27.83/28.16 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 27.83/28.16 ( 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))
% 27.83/28.16 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Field__Union,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_image__Union,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Union__UNIV,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Domain__mono,axiom,
% 27.83/28.16 ! [V_s_2,V_r_2,T_c,T_b] :
% 27.83/28.16 ( 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))
% 27.83/28.16 => 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))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Union__quotient,axiom,
% 27.83/28.16 ! [V_r_2,V_A_2,T_b] :
% 27.83/28.16 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 27.83/28.16 => 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 ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Union__insert,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Union__mono,axiom,
% 27.83/28.16 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.16 ( 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))
% 27.83/28.16 => 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))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Sigma__Union,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Union__def,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_UN__extend__simps_I8_J,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_UN__simps_I8_J,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Domain__Union,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_vimage__Union,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Range__Union,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Domain__Id__on,axiom,
% 27.83/28.16 ! [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 ).
% 27.83/28.16
% 27.83/28.16 fof(fact_less__Sup__iff,axiom,
% 27.83/28.16 ! [V_S_2,V_a_2,T_b] :
% 27.83/28.16 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 & class_Orderings_Olinorder(T_b) )
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2)))
% 27.83/28.16 <=> ? [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 27.83/28.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Union__Pow__eq,axiom,
% 27.83/28.16 ! [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 ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Union__upper,axiom,
% 27.83/28.16 ! [V_A_2,V_B_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 27.83/28.16 => 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))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Sup__le__iff,axiom,
% 27.83/28.16 ! [V_b_2,V_A_2,T_b] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 => ( 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))
% 27.83/28.16 <=> ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Union__empty,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_subset__Pow__Union,axiom,
% 27.83/28.16 ! [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)))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_finite__UnionD,axiom,
% 27.83/28.16 ! [V_A_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))
% 27.83/28.16 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__simps_I8_J,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INT__extend__simps_I8_J,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Domain__empty__iff,axiom,
% 27.83/28.16 ! [V_r_2,T_c,T_b] :
% 27.83/28.16 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.16 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Domain__empty,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Union__disjoint,axiom,
% 27.83/28.16 ! [V_A_2,V_C_2,T_b] :
% 27.83/28.16 ( 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))
% 27.83/28.16 <=> ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2))
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Int__Union,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Int__Union2,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Union__Un__distrib,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Domain__Un__eq,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Domain__Id,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_UNION__eq__Union__image,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Union__image__eq,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_finite__Domain,axiom,
% 27.83/28.16 ! [V_r_2,T_c,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 27.83/28.16 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Sup__upper,axiom,
% 27.83/28.16 ! [V_A_2,V_x_2,T_b] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.16 => 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))) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_fst__eq__Domain,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Sup__empty,axiom,
% 27.83/28.16 ! [T_b] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Sup__singleton,axiom,
% 27.83/28.16 ! [V_a_2,T_b] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 => 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 ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Sup__insert,axiom,
% 27.83/28.16 ! [V_A_2,V_a_2,T_b] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Sup__UNIV,axiom,
% 27.83/28.16 ! [T_b] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Domain__iff,axiom,
% 27.83/28.16 ! [V_r_2,T_c,V_a_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 27.83/28.16 <=> ? [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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Un__eq__Union,axiom,
% 27.83/28.16 ! [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))))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Un__Union__image,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Domain__insert,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Union__Int__subset,axiom,
% 27.83/28.16 ! [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)))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Domain__Int__subset,axiom,
% 27.83/28.16 ! [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)))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Domain__Diff__subset,axiom,
% 27.83/28.16 ! [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)))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Field__def,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Sup__binary,axiom,
% 27.83/28.16 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Sup__fin__Sup,axiom,
% 27.83/28.16 ! [V_A_2,T_b] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.16 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.16 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Domain__Collect__split,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Sup__set__fold,axiom,
% 27.83/28.16 ! [V_xs_2,T_b] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_DomainP__Domain__eq,axiom,
% 27.83/28.16 ! [V_x_2,V_r_2,T_c,T_b] :
% 27.83/28.16 ( 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))
% 27.83/28.16 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_finite__Union,axiom,
% 27.83/28.16 ! [V_A_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2))
% 27.83/28.16 => ( ! [B_M] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2))
% 27.83/28.16 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) )
% 27.83/28.16 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_DomainP_Ointros,axiom,
% 27.83/28.16 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 27.83/28.16 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_DomainP_Oequations,axiom,
% 27.83/28.16 ! [V_a1_2,V_r_2,T_c,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2))
% 27.83/28.16 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_insert__partition,axiom,
% 27.83/28.16 ! [V_F_2,V_x_2,T_b] :
% 27.83/28.16 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))
% 27.83/28.16 => ( ! [B_x] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => ! [B_xa] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => ( B_x != B_xa
% 27.83/28.16 => 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)) ) ) )
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_DomainE,axiom,
% 27.83/28.16 ! [V_r_2,T_c,V_a_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 27.83/28.16 => ~ ! [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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Sup__Inf,axiom,
% 27.83/28.16 ! [V_A_2,T_b] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 => 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)))))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Inf__Sup,axiom,
% 27.83/28.16 ! [V_A_2,T_b] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 => 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))))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_finite__Inter,axiom,
% 27.83/28.16 ! [V_M_2,T_b] :
% 27.83/28.16 ( ? [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2))
% 27.83/28.16 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 27.83/28.16 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_InterD,axiom,
% 27.83/28.16 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 27.83/28.16 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_InterE,axiom,
% 27.83/28.16 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 27.83/28.16 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Inter__insert,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Inter__eq,axiom,
% 27.83/28.16 ! [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)))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Inter__anti__mono,axiom,
% 27.83/28.16 ! [V_A_2,V_B_2,T_b] :
% 27.83/28.16 ( 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))
% 27.83/28.16 => 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))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Inter__empty,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_le__Inf__iff,axiom,
% 27.83/28.16 ! [V_A_2,V_b_2,T_b] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 => ( 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)))
% 27.83/28.16 <=> ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Inf__less__iff,axiom,
% 27.83/28.16 ! [V_a_2,V_S_2,T_b] :
% 27.83/28.16 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 & class_Orderings_Olinorder(T_b) )
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2))
% 27.83/28.16 <=> ? [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 27.83/28.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Inter__lower,axiom,
% 27.83/28.16 ! [V_A_2,V_B_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Inter__def,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Inter__UNIV,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Inf__lower,axiom,
% 27.83/28.16 ! [V_A_2,V_x_2,T_b] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Inter__Un__distrib,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Inf__singleton,axiom,
% 27.83/28.16 ! [V_a_2,T_b] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 => 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 ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Inf__empty,axiom,
% 27.83/28.16 ! [T_b] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Inf__UNIV,axiom,
% 27.83/28.16 ! [T_b] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Inf__insert,axiom,
% 27.83/28.16 ! [V_A_2,V_a_2,T_b] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_INTER__eq__Inter__image,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Inter__image__eq,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Un__Inter,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Int__eq__Inter,axiom,
% 27.83/28.16 ! [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))))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Int__Inter__image,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Inter__Un__subset,axiom,
% 27.83/28.16 ! [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)))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Inf__binary,axiom,
% 27.83/28.16 ! [V_b_2,V_a_2,T_b] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Inf__fin__Inf,axiom,
% 27.83/28.16 ! [V_A_2,T_b] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.16 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.16 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Inf__set__fold,axiom,
% 27.83/28.16 ! [V_xs_2,T_b] :
% 27.83/28.16 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_card__partition,axiom,
% 27.83/28.16 ! [V_k_2,V_C_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2))
% 27.83/28.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 27.83/28.16 => ( ! [B_c] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2))
% 27.83/28.16 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 )
% 27.83/28.16 => ( ! [B_c1] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2))
% 27.83/28.16 => ! [B_c2] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2))
% 27.83/28.16 => ( B_c1 != B_c2
% 27.83/28.16 => 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)) ) ) )
% 27.83/28.16 => 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)) ) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_wf__same__fst,axiom,
% 27.83/28.16 ! [T_b,V_R_2,T_c,V_Pa_2] :
% 27.83/28.16 ( ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(V_Pa_2,B_x))
% 27.83/28.16 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) )
% 27.83/28.16 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_all__nth__imp__all__set,axiom,
% 27.83/28.16 ! [V_x_2,V_Pa_2,V_xs_2,T_b] :
% 27.83/28.16 ( ! [B_i] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_map__removeAll__inj__on,axiom,
% 27.83/28.16 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_distinct__removeAll,axiom,
% 27.83/28.16 ! [V_x,V_xs,T_a] :
% 27.83/28.16 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 27.83/28.16 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_removeAll_Osimps_I1_J,axiom,
% 27.83/28.16 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_removeAll_Osimps_I2_J,axiom,
% 27.83/28.16 ! [V_xs,T_a,V_y,V_x] :
% 27.83/28.16 ( ( V_x = V_y
% 27.83/28.16 => 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) )
% 27.83/28.16 & ( V_x != V_y
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_removeAll__append,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_removeAll__id,axiom,
% 27.83/28.16 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.16 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_distinct__remove1__removeAll,axiom,
% 27.83/28.16 ! [V_x,V_xs,T_a] :
% 27.83/28.16 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 27.83/28.16 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_map__removeAll__inj,axiom,
% 27.83/28.16 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 27.83/28.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_set__removeAll,axiom,
% 27.83/28.16 ! [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)))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_not__in__set__insert,axiom,
% 27.83/28.16 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.16 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_List_Oinsert__def,axiom,
% 27.83/28.16 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.16 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 )
% 27.83/28.16 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => 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) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_distinct__insert,axiom,
% 27.83/28.16 ! [V_x,V_xs,T_a] :
% 27.83/28.16 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 27.83/28.16 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_in__set__insert,axiom,
% 27.83/28.16 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_List_Oset__insert,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_insert__Nil,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_n__lists_Osimps_I2_J,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_length__filter__conv__card,axiom,
% 27.83/28.16 ! [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))))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_distinct__filter,axiom,
% 27.83/28.16 ! [V_Pa_2,V_xs_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 27.83/28.16 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_length__filter__le,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sum__length__filter__compl,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_partition__filter1,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_filter__filter,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_remove1__filter__not,axiom,
% 27.83/28.16 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 27.83/28.16 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_filter__remove1,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_filter__insort__triv,axiom,
% 27.83/28.16 ! [V_xs_2,V_f_2,T_b,V_x_2,V_Pa_2,T_c] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_c)
% 27.83/28.16 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.16 => 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) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_filter__map,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_filter__concat,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_filter__empty__conv,axiom,
% 27.83/28.16 ! [V_xs_2,V_Pa_2,T_b] :
% 27.83/28.16 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 27.83/28.16 <=> ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_filter_Osimps_I1_J,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_filter_Osimps_I2_J,axiom,
% 27.83/28.16 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 27.83/28.16 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.16 => 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)) )
% 27.83/28.16 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.16 => 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) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_filter__append,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_filter__is__subset,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_filter__id__conv,axiom,
% 27.83/28.16 ! [V_xs_2,V_Pa_2,T_b] :
% 27.83/28.16 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = V_xs_2
% 27.83/28.16 <=> ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_foldl__conv__concat,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_concat__conv__foldl,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_removeAll__filter__not,axiom,
% 27.83/28.16 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 27.83/28.16 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_removeAll__filter__not__eq,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_concat_Osimps_I1_J,axiom,
% 27.83/28.16 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_concat_Osimps_I2_J,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_partition__filter2,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_concat__eq__Nil__conv,axiom,
% 27.83/28.16 ! [V_xss_2,T_b] :
% 27.83/28.16 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b)
% 27.83/28.16 <=> ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 27.83/28.16 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Nil__eq__concat__conv,axiom,
% 27.83/28.16 ! [V_xss_2,T_b] :
% 27.83/28.16 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2)
% 27.83/28.16 <=> ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 27.83/28.16 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_map__concat,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_length__concat,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_transpose__aux__filter__tail,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_set__filter,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_length__filter__map,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_set__concat,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_transpose__aux__filter__head,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_length__filter__less,axiom,
% 27.83/28.16 ! [V_Pa_2,V_xs_2,V_x_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.16 => 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))) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_concat__append,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_partition__filter__conv,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sublist__shift__lemma__Suc,axiom,
% 27.83/28.16 ! [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)))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_pick__drop__zero,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_select__weigth__drop__zero,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_set__minus__filter__out,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_filter__in__sublist,axiom,
% 27.83/28.16 ! [V_s_2,V_xs_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_concat__eq__concat__iff,axiom,
% 27.83/28.16 ! [V_ys_2,V_xs_2,T_b] :
% 27.83/28.16 ( ! [B_x] :
% 27.83/28.16 ( 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))))
% 27.83/28.16 => 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)) )
% 27.83/28.16 => ( 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)
% 27.83/28.16 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 27.83/28.16 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_concat__injective,axiom,
% 27.83/28.16 ! [V_ys_2,V_xs_2,T_b] :
% 27.83/28.16 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 27.83/28.16 => ( 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)
% 27.83/28.16 => ( ! [B_x] :
% 27.83/28.16 ( 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))))
% 27.83/28.16 => 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)) )
% 27.83/28.16 => V_xs_2 = V_ys_2 ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_concat__map__singleton,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_transpose_Osimps_I3_J,axiom,
% 27.83/28.16 ! [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))))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_transpose_Opsimps_I3_J,axiom,
% 27.83/28.16 ! [V_xss_2,V_xs_2,V_x_2,T_b] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => 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))))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_transpose_Opsimps_I2_J,axiom,
% 27.83/28.16 ! [V_xss_2,T_b] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_transpose_Osimps_I1_J,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_transpose_Opsimps_I1_J,axiom,
% 27.83/28.16 ! [T_b] :
% 27.83/28.16 ( 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))))
% 27.83/28.16 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_transpose_Osimps_I2_J,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_transpose__map__map,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_transpose__empty,axiom,
% 27.83/28.16 ! [V_xs_2,T_b] :
% 27.83/28.16 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b))
% 27.83/28.16 <=> ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 27.83/28.16 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_nth__transpose,axiom,
% 27.83/28.16 ! [V_xs_2,T_b,V_i_2] :
% 27.83/28.16 ( 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))))
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sublist__def,axiom,
% 27.83/28.16 ! [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))))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sublist__shift__lemma,axiom,
% 27.83/28.16 ! [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))))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_atLeastLessThan__upt,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_set__upt,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_distinct__upt,axiom,
% 27.83/28.16 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__list__of__set__range,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_hd__upt,axiom,
% 27.83/28.16 ! [V_j,V_i] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 27.83/28.16 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_take__upt,axiom,
% 27.83/28.16 ! [V_n,V_m,V_i] :
% 27.83/28.16 ( 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))
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_drop__upt,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_upt__rec,axiom,
% 27.83/28.16 ! [V_j,V_i] :
% 27.83/28.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 27.83/28.16 => 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)) )
% 27.83/28.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 27.83/28.16 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_upt__conv__Cons,axiom,
% 27.83/28.16 ! [V_j,V_i] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_upt__eq__Nil__conv,axiom,
% 27.83/28.16 ! [V_j_2,V_i_2] :
% 27.83/28.16 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 27.83/28.16 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.16 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_upt__Suc__append,axiom,
% 27.83/28.16 ! [V_j,V_i] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 27.83/28.16 => 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))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_upt__Suc,axiom,
% 27.83/28.16 ! [V_j,V_i] :
% 27.83/28.16 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 27.83/28.16 => 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))) )
% 27.83/28.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 27.83/28.16 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_upt__0,axiom,
% 27.83/28.16 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_upt__conv__Nil,axiom,
% 27.83/28.16 ! [V_i,V_j] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 27.83/28.16 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_upt__add__eq__append,axiom,
% 27.83/28.16 ! [V_k,V_j,V_i] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 27.83/28.16 => 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))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_length__upt,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_upt__rec__number__of,axiom,
% 27.83/28.16 ! [V_n,V_m] :
% 27.83/28.16 ( ( 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)))
% 27.83/28.16 => 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))) )
% 27.83/28.16 & ( ~ 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)))
% 27.83/28.16 => 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) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_upt__eq__Cons__conv,axiom,
% 27.83/28.16 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 27.83/28.16 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 27.83/28.16 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 27.83/28.16 & V_i_2 = V_x_2
% 27.83/28.16 & 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 ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_last__upt,axiom,
% 27.83/28.16 ! [V_j,V_i] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_map__Suc__upt,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_atLeastAtMost__upt,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_atLeast__upt,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_nth__upt,axiom,
% 27.83/28.16 ! [V_j,V_k,V_i] :
% 27.83/28.16 ( 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))
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_greaterThanAtMost__upt,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_greaterThanLessThan__upt,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_atMost__upto,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_map__nth,axiom,
% 27.83/28.16 ! [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 ).
% 27.83/28.16
% 27.83/28.16 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 27.83/28.16 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 27.83/28.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.16 => 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))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 27.83/28.16 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 27.83/28.16 ( class_Groups_Ocomm__monoid__add(T_b)
% 27.83/28.16 => 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))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_nth__map__upt,axiom,
% 27.83/28.16 ! [V_f_2,T_b,V_m_2,V_n_2,V_i_2] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_transpose__rectangle,axiom,
% 27.83/28.16 ! [V_n_2,T_b,V_xs_2] :
% 27.83/28.16 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 27.83/28.16 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 27.83/28.16 => ( ! [B_i] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => 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 )
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_transpose__max__length,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_foldr__append,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_foldr_Osimps_I2_J,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_foldr_Osimps_I1_J,axiom,
% 27.83/28.16 ! [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 ).
% 27.83/28.16
% 27.83/28.16 fof(fact_foldr__conv__foldl,axiom,
% 27.83/28.16 ! [V_a_2,V_xs_2,T_b] :
% 27.83/28.16 ( class_Groups_Oab__semigroup__add(T_b)
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_foldr__map,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_foldl__foldr1,axiom,
% 27.83/28.16 ! [V_xs_2,T_b] :
% 27.83/28.16 ( class_Groups_Omonoid__add(T_b)
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_foldl__foldr1__lemma,axiom,
% 27.83/28.16 ! [V_xs_2,V_a_2,T_b] :
% 27.83/28.16 ( class_Groups_Omonoid__add(T_b)
% 27.83/28.16 => 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))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_length__transpose,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_transpose__aux__max,axiom,
% 27.83/28.16 ! [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)))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_length__remdups__concat,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_insort__key__remove1,axiom,
% 27.83/28.16 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_c)
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 27.83/28.16 => ( 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
% 27.83/28.16 => 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 ) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted_ONil,axiom,
% 27.83/28.16 ! [T_a] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_a)
% 27.83/28.16 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_distinct__remdups,axiom,
% 27.83/28.16 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__single,axiom,
% 27.83/28.16 ! [V_x,T_a] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_a)
% 27.83/28.16 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_length__remdups__leq,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__butlast,axiom,
% 27.83/28.16 ! [V_xs,T_a] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_a)
% 27.83/28.16 => ( V_xs != c_List_Olist_ONil(T_a)
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 27.83/28.16 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__many,axiom,
% 27.83/28.16 ! [V_zs,V_y,V_x,T_a] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_a)
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 27.83/28.16 => 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))) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__many__eq,axiom,
% 27.83/28.16 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( 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)))
% 27.83/28.16 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 27.83/28.16 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_remdups_Osimps_I1_J,axiom,
% 27.83/28.16 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted_Oequations_I1_J,axiom,
% 27.83/28.16 ! [T_a] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_a)
% 27.83/28.16 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_remdups__eq__nil__right__iff,axiom,
% 27.83/28.16 ! [V_x_2,T_b] :
% 27.83/28.16 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2)
% 27.83/28.16 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_remdups__eq__nil__iff,axiom,
% 27.83/28.16 ! [V_x_2,T_b] :
% 27.83/28.16 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b)
% 27.83/28.16 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__drop,axiom,
% 27.83/28.16 ! [V_n,V_xs,T_a] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_a)
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 27.83/28.16 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__take,axiom,
% 27.83/28.16 ! [V_n,V_xs,T_a] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_a)
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 27.83/28.16 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_remdups__id__iff__distinct,axiom,
% 27.83/28.16 ! [V_xs_2,T_b] :
% 27.83/28.16 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2
% 27.83/28.16 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_distinct__remdups__id,axiom,
% 27.83/28.16 ! [V_xs,T_a] :
% 27.83/28.16 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 27.83/28.16 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__distinct__set__unique,axiom,
% 27.83/28.16 ! [V_ys_2,V_xs_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 27.83/28.16 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 27.83/28.16 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 27.83/28.16 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 27.83/28.16 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__filter,axiom,
% 27.83/28.16 ! [V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 27.83/28.16 => 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))) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_remdups__map__remdups,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__map__same,axiom,
% 27.83/28.16 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => 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))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__map__remove1,axiom,
% 27.83/28.16 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 27.83/28.16 => 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))) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__insort__key,axiom,
% 27.83/28.16 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( 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)))
% 27.83/28.16 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__insort__insert__key,axiom,
% 27.83/28.16 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 27.83/28.16 => 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))) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__same,axiom,
% 27.83/28.16 ! [V_xs_2,V_g_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_remdups__filter,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_set__remdups,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_insert__remdups,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_length__remdups__eq,axiom,
% 27.83/28.16 ! [V_xs_2,T_b] :
% 27.83/28.16 ( 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)
% 27.83/28.16 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__insort__insert,axiom,
% 27.83/28.16 ! [V_x_2,V_xs_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__upto,axiom,
% 27.83/28.16 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__tl,axiom,
% 27.83/28.16 ! [V_xs,T_a] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_a)
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 27.83/28.16 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_remdups__remdups,axiom,
% 27.83/28.16 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__remdups,axiom,
% 27.83/28.16 ! [V_l,T_a] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_a)
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 27.83/28.16 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__remove1,axiom,
% 27.83/28.16 ! [V_a,V_xs,T_a] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_a)
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 27.83/28.16 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__insort,axiom,
% 27.83/28.16 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( 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))
% 27.83/28.16 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__upt,axiom,
% 27.83/28.16 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_remove1__remdups,axiom,
% 27.83/28.16 ! [V_x,V_xs,T_a] :
% 27.83/28.16 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__Cons,axiom,
% 27.83/28.16 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 27.83/28.16 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 27.83/28.16 & ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__append,axiom,
% 27.83/28.16 ! [V_ys_2,V_xs_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 27.83/28.16 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 27.83/28.16 & c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 27.83/28.16 & ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => ! [B_xa] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2)))
% 27.83/28.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_filter__insort,axiom,
% 27.83/28.16 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 27.83/28.16 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.16 => 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)) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_remdups_Osimps_I2_J,axiom,
% 27.83/28.16 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.16 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => 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) )
% 27.83/28.16 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_length__remdups__card__conv,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted_Oequations_I2_J,axiom,
% 27.83/28.16 ! [V_a1_2,V_a2_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2))
% 27.83/28.16 <=> ( ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2)))
% 27.83/28.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) )
% 27.83/28.16 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__list__of__set,axiom,
% 27.83/28.16 ! [V_A_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.16 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2
% 27.83/28.16 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))
% 27.83/28.16 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_insort__remove1,axiom,
% 27.83/28.16 ! [V_xs_2,V_a_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 27.83/28.16 => 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 ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__equals__nth__mono,axiom,
% 27.83/28.16 ! [V_xs_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 27.83/28.16 <=> ! [B_j] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => ! [B_i] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 27.83/28.16 => 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))) ) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__nth__mono,axiom,
% 27.83/28.16 ! [V_j,V_i,V_xs,T_a] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_a)
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 27.83/28.16 => ( 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)))
% 27.83/28.16 => 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))) ) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_map__sorted__distinct__set__unique,axiom,
% 27.83/28.16 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_c)
% 27.83/28.16 => ( 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)))
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 27.83/28.16 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)))
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))
% 27.83/28.16 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)))
% 27.83/28.16 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 27.83/28.16 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_transpose__column,axiom,
% 27.83/28.16 ! [V_i_2,V_xs_2,T_b] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => ( 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)))
% 27.83/28.16 => 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) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_nth__nth__transpose__sorted,axiom,
% 27.83/28.16 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => ( 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))))
% 27.83/28.16 => ( 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))))
% 27.83/28.16 => 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) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_inj__on__rev,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_list__all2__rev1,axiom,
% 27.83/28.16 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 27.83/28.16 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2)
% 27.83/28.16 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_list__all2__rev,axiom,
% 27.83/28.16 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 27.83/28.16 ( 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))
% 27.83/28.16 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_listsum__rev,axiom,
% 27.83/28.16 ! [V_xs,T_a] :
% 27.83/28.16 ( class_Groups_Ocomm__monoid__add(T_a)
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_rev__is__rev__conv,axiom,
% 27.83/28.16 ! [V_ys_2,V_xs_2,T_b] :
% 27.83/28.16 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2)
% 27.83/28.16 <=> V_xs_2 = V_ys_2 ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_rev__swap,axiom,
% 27.83/28.16 ! [V_ys_2,V_xs_2,T_b] :
% 27.83/28.16 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2
% 27.83/28.16 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_rev__rev__ident,axiom,
% 27.83/28.16 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 27.83/28.16
% 27.83/28.16 fof(fact_length__rev,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_zip__rev,axiom,
% 27.83/28.16 ! [V_ys,T_b,V_xs,T_a] :
% 27.83/28.16 ( 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)
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_set__rev,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_rev__filter,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_rev__concat,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_rev__map,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_distinct__rev,axiom,
% 27.83/28.16 ! [V_xs_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2)))
% 27.83/28.16 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_rev__is__Nil__conv,axiom,
% 27.83/28.16 ! [V_xs_2,T_b] :
% 27.83/28.16 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 27.83/28.16 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Nil__is__rev__conv,axiom,
% 27.83/28.16 ! [V_xs_2,T_b] :
% 27.83/28.16 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2)
% 27.83/28.16 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_rev_Osimps_I1_J,axiom,
% 27.83/28.16 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_rev__singleton__conv,axiom,
% 27.83/28.16 ! [V_x_2,V_xs_2,T_b] :
% 27.83/28.16 ( 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))
% 27.83/28.16 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_singleton__rev__conv,axiom,
% 27.83/28.16 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.16 ( 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)
% 27.83/28.16 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_rev__append,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_foldr__foldl,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_foldl__foldr,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_rev__eq__Cons__iff,axiom,
% 27.83/28.16 ! [V_ys_2,V_y_2,V_xs_2,T_b] :
% 27.83/28.16 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 27.83/28.16 <=> 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))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_rev_Osimps_I2_J,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_last__rev,axiom,
% 27.83/28.16 ! [T_a,V_xs] :
% 27.83/28.16 ( V_xs != c_List_Olist_ONil(T_a)
% 27.83/28.16 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_hd__rev,axiom,
% 27.83/28.16 ! [T_a,V_xs] :
% 27.83/28.16 ( V_xs != c_List_Olist_ONil(T_a)
% 27.83/28.16 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__transpose,axiom,
% 27.83/28.16 ! [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)))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_rev__foldl__cons,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_rev__take,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_rev__drop,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_rotate__rev,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_rev__nth,axiom,
% 27.83/28.16 ! [V_xs,T_a,V_n] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => 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))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_rev__update,axiom,
% 27.83/28.16 ! [V_y,V_xs,T_a,V_k] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__rev__nth__mono,axiom,
% 27.83/28.16 ! [V_j,V_i,V_xs,T_a] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_a)
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 27.83/28.16 => ( 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)))
% 27.83/28.16 => 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))) ) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_foldr__max__sorted,axiom,
% 27.83/28.16 ! [V_y_2,V_xs_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2))
% 27.83/28.16 => ( ( V_xs_2 = c_List_Olist_ONil(T_b)
% 27.83/28.16 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 )
% 27.83/28.16 & ( V_xs_2 != c_List_Olist_ONil(T_b)
% 27.83/28.16 => 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) ) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_length__transpose__sorted,axiom,
% 27.83/28.16 ! [V_xs_2,T_b] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 27.83/28.16 => 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) )
% 27.83/28.16 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b))
% 27.83/28.16 => 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))) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_transpose__column__length,axiom,
% 27.83/28.16 ! [V_i_2,V_xs_2,T_b] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => ( 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)))
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_transpose__transpose,axiom,
% 27.83/28.16 ! [V_xs_2,T_b] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 27.83/28.16 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__takeWhile,axiom,
% 27.83/28.16 ! [V_Pa_2,V_xs_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 27.83/28.16 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_takeWhile__map,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 27.83/28.16 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 27.83/28.16 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.16 => 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)) )
% 27.83/28.16 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.16 => 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) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_takeWhile__tail,axiom,
% 27.83/28.16 ! [V_l_2,V_xs_2,T_b,V_x_2,V_Pa_2] :
% 27.83/28.16 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_takeWhile__eq__take,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_distinct__takeWhile,axiom,
% 27.83/28.16 ! [V_Pa_2,V_xs_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 27.83/28.16 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_set__takeWhileD,axiom,
% 27.83/28.16 ! [V_xs_2,V_Pa_2,V_x_2,T_b] :
% 27.83/28.16 ( 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))))
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_takeWhile__eq__all__conv,axiom,
% 27.83/28.16 ! [V_xs_2,V_Pa_2,T_b] :
% 27.83/28.16 ( c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = V_xs_2
% 27.83/28.16 <=> ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_zip__takeWhile__snd,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_zip__takeWhile__fst,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_length__takeWhile__le,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_return__list__def,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_takeWhile__append1,axiom,
% 27.83/28.16 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.16 => 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) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_nth__length__takeWhile,axiom,
% 27.83/28.16 ! [V_xs_2,V_Pa_2,T_b] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => ~ 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))))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_takeWhile__nth,axiom,
% 27.83/28.16 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 27.83/28.16 ( 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))))
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_takeWhile__not__last,axiom,
% 27.83/28.16 ! [T_b,V_xs_2] :
% 27.83/28.16 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 27.83/28.16 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 27.83/28.16 => 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) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 27.83/28.16 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( 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)))
% 27.83/28.16 => 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) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 27.83/28.16 ! [V_l] :
% 27.83/28.16 ( c_List_Onat__list(V_l)
% 27.83/28.16 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_embed__list__def,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_takeWhile__neq__rev,axiom,
% 27.83/28.16 ! [V_x_2,V_xs_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => 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))) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_dropWhile__neq__rev,axiom,
% 27.83/28.16 ! [V_x_2,V_xs_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => 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))) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__dropWhile,axiom,
% 27.83/28.16 ! [V_Pa_2,V_xs_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 27.83/28.16 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 27.83/28.16 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 27.83/28.16 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.16 => 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) )
% 27.83/28.16 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.16 => 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) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_distinct__dropWhile,axiom,
% 27.83/28.16 ! [V_Pa_2,V_xs_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 27.83/28.16 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 27.83/28.16 ! [V_xs_2,V_Pa_2,T_b] :
% 27.83/28.16 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = c_List_Olist_ONil(T_b)
% 27.83/28.16 <=> ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_length__dropWhile__le,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_takeWhile__dropWhile__id,axiom,
% 27.83/28.16 ! [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 ).
% 27.83/28.16
% 27.83/28.16 fof(fact_hd__dropWhile,axiom,
% 27.83/28.16 ! [V_xs_2,V_Pa_2,T_b] :
% 27.83/28.16 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) != c_List_Olist_ONil(T_b)
% 27.83/28.16 => ~ hBOOL(hAPP(V_Pa_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_dropWhile__map,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_dropWhile__append1,axiom,
% 27.83/28.16 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.16 => 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) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 27.83/28.16 ! [V_ys_2,V_y_2,V_xs_2,V_Pa_2,T_b] :
% 27.83/28.16 ( 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)
% 27.83/28.16 <=> ( 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))
% 27.83/28.16 & ~ hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_dropWhile__eq__drop,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_dropWhile__nth,axiom,
% 27.83/28.16 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 27.83/28.16 ( 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))))
% 27.83/28.16 => 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)))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_listsum__map__filter,axiom,
% 27.83/28.16 ! [V_f_2,V_Pa_2,V_xs_2,T_b,T_c] :
% 27.83/28.16 ( class_Groups_Omonoid__add(T_c)
% 27.83/28.16 => ( ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => ( ~ hBOOL(hAPP(V_Pa_2,B_x))
% 27.83/28.16 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) )
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__nth__monoI,axiom,
% 27.83/28.16 ! [V_xs,T_a] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_a)
% 27.83/28.16 => ( ! [B_i,B_j] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 27.83/28.16 => ( 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)))
% 27.83/28.16 => 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))) ) )
% 27.83/28.16 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sort__foldl__insort,axiom,
% 27.83/28.16 ! [V_xs_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_takeWhile__eq__filter,axiom,
% 27.83/28.16 ! [V_xs_2,V_Pa_2,T_b] :
% 27.83/28.16 ( ! [B_x] :
% 27.83/28.16 ( 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))))
% 27.83/28.16 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 27.83/28.16 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__sort,axiom,
% 27.83/28.16 ! [V_xs_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sort__key__simps_I1_J,axiom,
% 27.83/28.16 ! [V_f_2,T_b,T_c] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_c)
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_distinct__sort,axiom,
% 27.83/28.16 ! [V_xs_2,V_f_2,T_b,T_c] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_c)
% 27.83/28.16 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)))
% 27.83/28.16 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_filter__sort,axiom,
% 27.83/28.16 ! [V_xs_2,V_f_2,V_Pa_2,T_b,T_c] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_c)
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_set__sort,axiom,
% 27.83/28.16 ! [V_xs_2,V_f_2,T_b,T_c] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_c)
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_length__sort,axiom,
% 27.83/28.16 ! [V_xs_2,V_f_2,T_b,T_c] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_c)
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__sort__key,axiom,
% 27.83/28.16 ! [V_xs_2,V_f_2,T_c,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => 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))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sort__key__simps_I2_J,axiom,
% 27.83/28.16 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_c)
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 27.83/28.16 ! [V_xs_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 27.83/28.16 ! [V_Pa_2,V_xs_2,T_b,V_n_2] :
% 27.83/28.16 ( ! [B_i] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 27.83/28.16 => ( 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)))
% 27.83/28.16 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) )
% 27.83/28.16 => ( ( 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)))
% 27.83/28.16 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) )
% 27.83/28.16 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_length__takeWhile__less__P__nth,axiom,
% 27.83/28.16 ! [V_xs_2,T_b,V_Pa_2,V_j_2] :
% 27.83/28.16 ( ! [B_i] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 27.83/28.16 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 27.83/28.16 => ( 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)))
% 27.83/28.16 => 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)))) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_sorted_Osimps,axiom,
% 27.83/28.16 ! [V_a_2,T_b] :
% 27.83/28.16 ( class_Orderings_Olinorder(T_b)
% 27.83/28.16 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2)
% 27.83/28.16 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 27.83/28.16 | ? [B_xs,B_x] :
% 27.83/28.16 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 27.83/28.16 & ! [B_xa] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs)))
% 27.83/28.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) )
% 27.83/28.16 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_maps__def,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_maps__simps_I2_J,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_maps__simps_I1_J,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_concat__map__maps,axiom,
% 27.83/28.16 ! [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) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_distinct__concat,axiom,
% 27.83/28.16 ! [V_xs_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2))
% 27.83/28.16 => ( ! [B_ys] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 27.83/28.16 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) )
% 27.83/28.16 => ( ! [B_ys] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 27.83/28.16 => ! [B_zs] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 27.83/28.16 => ( B_ys != B_zs
% 27.83/28.16 => 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)) ) ) )
% 27.83/28.16 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_measures__lesseq,axiom,
% 27.83/28.16 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => ( 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)))
% 27.83/28.16 => 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)))) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_wf__measures,axiom,
% 27.83/28.16 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_in__measures_I1_J,axiom,
% 27.83/28.16 ! [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))))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_measures__def,axiom,
% 27.83/28.16 ! [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)) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_in__measures_I2_J,axiom,
% 27.83/28.16 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] :
% 27.83/28.16 ( 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))))
% 27.83/28.16 <=> ( 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)))
% 27.83/28.16 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 27.83/28.16 & 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))) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_measures__less,axiom,
% 27.83/28.16 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 27.83/28.16 ( 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)))
% 27.83/28.16 => 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)))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_inj__on__Inter,axiom,
% 27.83/28.16 ! [V_f_2,T_c,T_b,V_S_2] :
% 27.83/28.16 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 27.83/28.16 => ( ! [B_A] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2))
% 27.83/28.16 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) )
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Inter__subset,axiom,
% 27.83/28.16 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.16 ( ! [B_X] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2))
% 27.83/28.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) )
% 27.83/28.16 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_foldl__apply,axiom,
% 27.83/28.16 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] :
% 27.83/28.16 ( ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.16 => 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)) )
% 27.83/28.16 => 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)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_wfP__def,axiom,
% 27.83/28.16 ! [V_r_2,T_b] :
% 27.83/28.16 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 27.83/28.16 <=> 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))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_wfP__empty,axiom,
% 27.83/28.16 ! [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))) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_wfP__subset,axiom,
% 27.83/28.16 ! [V_p_2,V_r_2,T_b] :
% 27.83/28.16 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 27.83/28.16 => ( 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))
% 27.83/28.16 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_accp__wfPD,axiom,
% 27.83/28.16 ! [V_x_2,V_r_2,T_b] :
% 27.83/28.16 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 27.83/28.16 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_wfP__accp__iff,axiom,
% 27.83/28.16 ! [V_r_2,T_b] :
% 27.83/28.16 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 27.83/28.16 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_wf__in__rel,axiom,
% 27.83/28.16 ! [V_R_2,T_b] :
% 27.83/28.16 ( c_Wellfounded_Owf(T_b,V_R_2)
% 27.83/28.16 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_wfP__wf__eq,axiom,
% 27.83/28.16 ! [V_r_2,T_b] :
% 27.83/28.16 ( 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))
% 27.83/28.16 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_wfP__acyclicP,axiom,
% 27.83/28.16 ! [V_r_2,T_b] :
% 27.83/28.16 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 27.83/28.16 => 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))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_order__fun_I2_J,axiom,
% 27.83/28.16 ! [V_g_2,V_f_2,T_b,T_c] :
% 27.83/28.16 ( ( class_Orderings_Oorder(T_c)
% 27.83/28.16 & class_Enum_Oenum(T_b) )
% 27.83/28.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 27.83/28.16 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 27.83/28.16 & 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)))) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_acyclic__subset,axiom,
% 27.83/28.16 ! [V_r_2,V_s_2,T_b] :
% 27.83/28.16 ( c_Wellfounded_Oacyclic(T_b,V_s_2)
% 27.83/28.16 => ( 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))
% 27.83/28.16 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_wf__acyclic,axiom,
% 27.83/28.16 ! [V_r_2,T_b] :
% 27.83/28.16 ( c_Wellfounded_Owf(T_b,V_r_2)
% 27.83/28.16 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_enum__ex__prod__def,axiom,
% 27.83/28.16 ! [V_Pa_2,T_b,T_c] :
% 27.83/28.16 ( ( class_Enum_Oenum(T_c)
% 27.83/28.16 & class_Enum_Oenum(T_b) )
% 27.83/28.16 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_Pa_2))
% 27.83/28.16 <=> 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))))) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_enum__ex,axiom,
% 27.83/28.16 ! [V_Pa_2,T_b] :
% 27.83/28.16 ( class_Enum_Oenum(T_b)
% 27.83/28.16 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2))
% 27.83/28.16 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_exists__code,axiom,
% 27.83/28.16 ! [V_Pa_2,T_b] :
% 27.83/28.16 ( class_Enum_Oenum(T_b)
% 27.83/28.16 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 27.83/28.16 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 27.83/28.16 ! [V_r_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 27.83/28.16 => ( c_Wellfounded_Owf(T_b,V_r_2)
% 27.83/28.16 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_finite__acyclic__wf,axiom,
% 27.83/28.16 ! [V_r_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 27.83/28.16 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 27.83/28.16 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Nitpick_Owf_H__def,axiom,
% 27.83/28.16 ! [V_r_2,T_b] :
% 27.83/28.16 ( c_Nitpick_Owf_H(T_b,V_r_2)
% 27.83/28.16 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 27.83/28.16 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 27.83/28.16 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_inj__on__INTER,axiom,
% 27.83/28.16 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] :
% 27.83/28.16 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.16 => ( ! [B_i] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2))
% 27.83/28.16 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) )
% 27.83/28.16 => 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)) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_zip__obtain__same__length,axiom,
% 27.83/28.16 ! [V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 27.83/28.16 ( ( 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))
% 27.83/28.16 => 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)))) )
% 27.83/28.16 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_the__sym__eq__trivial,axiom,
% 27.83/28.16 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 27.83/28.16
% 27.83/28.16 fof(fact_the__eq__trivial,axiom,
% 27.83/28.16 ! [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 ).
% 27.83/28.16
% 27.83/28.16 fof(fact_pigeonhole__infinite,axiom,
% 27.83/28.16 ! [V_f_2,T_c,V_A_2,T_b] :
% 27.83/28.16 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 27.83/28.16 => ? [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.16 & ~ 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)))))) ) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Abs__Integ__induct,axiom,
% 27.83/28.16 ! [V_x_2,V_Pa_2] :
% 27.83/28.16 ( ! [B_y] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 27.83/28.16 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 27.83/28.16 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_Abs__Integ__cases,axiom,
% 27.83/28.16 ! [V_x_2] :
% 27.83/28.16 ~ ! [B_y] :
% 27.83/28.16 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 27.83/28.16 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_finite__UN__I,axiom,
% 27.83/28.16 ! [V_B_2,T_c,V_A_2,T_b] :
% 27.83/28.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.16 => ( ! [B_a] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 27.83/28.16 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 27.83/28.16 => 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))) ) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_inj__on__diff__nat,axiom,
% 27.83/28.16 ! [V_k_2,V_N_2] :
% 27.83/28.16 ( ! [B_x] :
% 27.83/28.16 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 27.83/28.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 27.83/28.16 => 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) ) ).
% 27.83/28.16
% 27.83/28.16 fof(fact_wfP__SUP,axiom,
% 27.83/28.16 ! [T_b,V_r_2,T_c] :
% 27.83/28.16 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i))
% 27.83/28.17 => ( ! [B_i,B_j] :
% 27.83/28.17 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 27.83/28.17 => 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)) )
% 27.83/28.17 => 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)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_pos__not__random__dseq__def,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_dropWhile__append2,axiom,
% 27.83/28.17 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 27.83/28.17 ( ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.17 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 27.83/28.17 => 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) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_list__all2__all__nthI,axiom,
% 27.83/28.17 ! [V_Pa_2,V_b_2,T_c,V_a_2,T_b] :
% 27.83/28.17 ( 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)
% 27.83/28.17 => ( ! [B_n] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => 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))) )
% 27.83/28.17 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_mem__splitI2,axiom,
% 27.83/28.17 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] :
% 27.83/28.17 ( ! [B_a,B_b] :
% 27.83/28.17 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) )
% 27.83/28.17 => 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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_mem__splitE,axiom,
% 27.83/28.17 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ~ ! [B_x,B_y] :
% 27.83/28.17 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)
% 27.83/28.17 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_finite__sorted__distinct__unique,axiom,
% 27.83/28.17 ! [V_A_2,T_b] :
% 27.83/28.17 ( class_Orderings_Olinorder(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ? [B_x] :
% 27.83/28.17 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2
% 27.83/28.17 & c_List_Olinorder__class_Osorted(T_b,B_x)
% 27.83/28.17 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x))
% 27.83/28.17 & ! [B_y] :
% 27.83/28.17 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2
% 27.83/28.17 & c_List_Olinorder__class_Osorted(T_b,B_y)
% 27.83/28.17 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) )
% 27.83/28.17 => B_y = B_x ) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_setsum__SucD,axiom,
% 27.83/28.17 ! [V_n_2,V_A_2,V_f_2,T_b] :
% 27.83/28.17 ( 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)
% 27.83/28.17 => ? [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.17 & 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_takeWhile__append2,axiom,
% 27.83/28.17 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 27.83/28.17 ( ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.17 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 27.83/28.17 => 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)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_insort__is__Cons,axiom,
% 27.83/28.17 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] :
% 27.83/28.17 ( class_Orderings_Olinorder(T_c)
% 27.83/28.17 => ( ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) )
% 27.83/28.17 => 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) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_wfI__pf,axiom,
% 27.83/28.17 ! [V_R_2,T_b] :
% 27.83/28.17 ( ! [B_A] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 27.83/28.17 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 27.83/28.17 ! [V_R_2,V_p_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 27.83/28.17 => 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)))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_filter__eq__Cons__iff,axiom,
% 27.83/28.17 ! [V_xs_2,V_x_2,V_ys_2,V_Pa_2,T_b] :
% 27.83/28.17 ( 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)
% 27.83/28.17 <=> ? [B_us,B_vs] :
% 27.83/28.17 ( 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))
% 27.83/28.17 & ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 27.83/28.17 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 27.83/28.17 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.17 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_r__into__rtrancl,axiom,
% 27.83/28.17 ! [V_r_2,V_p_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 27.83/28.17 ! [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))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_listrel__rtrancl__refl,axiom,
% 27.83/28.17 ! [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)))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__trans,axiom,
% 27.83/28.17 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ( 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)))
% 27.83/28.17 => 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 27.83/28.17 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ( 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))
% 27.83/28.17 => 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 27.83/28.17 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => ( 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)))
% 27.83/28.17 => 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_in__rtrancl__UnI,axiom,
% 27.83/28.17 ! [V_S_2,V_R_2,V_x_2,T_b] :
% 27.83/28.17 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 27.83/28.17 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) )
% 27.83/28.17 => 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)))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__idemp,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__Un__rtrancl,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__idemp__self__comp,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_r__comp__rtrancl__eq,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__empty,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_refl__rtrancl,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Range__rtrancl,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__Un__subset,axiom,
% 27.83/28.17 ! [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)))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Image__closed__trancl,axiom,
% 27.83/28.17 ! [V_X_2,V_r_2,T_b] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__mono,axiom,
% 27.83/28.17 ! [V_s_2,V_r_2,T_b] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => 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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__subset,axiom,
% 27.83/28.17 ! [V_S_2,V_R_2,T_b] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => ( 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)))
% 27.83/28.17 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__subset__rtrancl,axiom,
% 27.83/28.17 ! [V_s_2,V_r_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => 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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 27.83/28.17 ! [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)))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__reflcl__absorb,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__reflcl,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__power,axiom,
% 27.83/28.17 ! [V_R_2,V_p_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 27.83/28.17 <=> ? [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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rel__pow__imp__rtrancl,axiom,
% 27.83/28.17 ! [V_R_2,V_n_2,V_p_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__r__diff__Id,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Domain__rtrancl,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 27.83/28.17 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_listrel__rtrancl__trans,axiom,
% 27.83/28.17 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__unfold,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 27.83/28.17 ! [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)))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Not__Domain__rtrancl,axiom,
% 27.83/28.17 ! [V_y_2,V_R_2,V_x_2,T_b] :
% 27.83/28.17 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2)))
% 27.83/28.17 => ( 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)))
% 27.83/28.17 <=> V_x_2 = V_y_2 ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_acc__downwards__aux,axiom,
% 27.83/28.17 ! [V_r_2,V_a_2,V_b_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_acc__downwards,axiom,
% 27.83/28.17 ! [V_b_2,V_r_2,V_a_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 27.83/28.17 => ( 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)))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_wf__insert,axiom,
% 27.83/28.17 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 27.83/28.17 ( 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))
% 27.83/28.17 <=> ( c_Wellfounded_Owf(T_b,V_r_2)
% 27.83/28.17 & ~ 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 27.83/28.17 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 27.83/28.17 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 27.83/28.17 => 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) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_acyclic__insert,axiom,
% 27.83/28.17 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 27.83/28.17 ( 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))
% 27.83/28.17 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 27.83/28.17 & ~ 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 27.83/28.17 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 27.83/28.17 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__Int__subset,axiom,
% 27.83/28.17 ! [V_r_2,V_s_2,T_b] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => ( 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))
% 27.83/28.17 => 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)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_pred__nat__trancl__eq__le,axiom,
% 27.83/28.17 ! [V_n_2,V_m_2] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trancl__subset__Sigma__aux,axiom,
% 27.83/28.17 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ( 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))))
% 27.83/28.17 => ( V_a_2 = V_b_2
% 27.83/28.17 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trancl__insert,axiom,
% 27.83/28.17 ! [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)))))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_sequence__trans,axiom,
% 27.83/28.17 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] :
% 27.83/28.17 ( ! [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)))
% 27.83/28.17 => 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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trancl_Or__into__trancl,axiom,
% 27.83/28.17 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => 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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trancl__into__rtrancl,axiom,
% 27.83/28.17 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => 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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__eq__or__trancl,axiom,
% 27.83/28.17 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 <=> ( V_x_2 = V_y_2
% 27.83/28.17 | ( V_x_2 != V_y_2
% 27.83/28.17 & 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))) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__into__trancl2,axiom,
% 27.83/28.17 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => ( 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)))
% 27.83/28.17 => 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtranclD,axiom,
% 27.83/28.17 ! [V_R_2,V_b_2,V_a_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ( V_a_2 = V_b_2
% 27.83/28.17 | ( V_a_2 != V_b_2
% 27.83/28.17 & 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))) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__into__trancl1,axiom,
% 27.83/28.17 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ( 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))
% 27.83/28.17 => 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trancl__rtrancl__trancl,axiom,
% 27.83/28.17 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ( 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)))
% 27.83/28.17 => 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__trancl__trancl,axiom,
% 27.83/28.17 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ( 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)))
% 27.83/28.17 => 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trancl__rtrancl__absorb,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__trancl__absorb,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trancl__unfold__right,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trancl__unfold__left,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_less__than__def,axiom,
% 27.83/28.17 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trancl__domain,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trancl__mono,axiom,
% 27.83/28.17 ! [V_s_2,V_r_2,V_p_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 27.83/28.17 => ( 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))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trancl__empty,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trancl__range,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_wf__trancl,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 27.83/28.17 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_r__into__trancl_H,axiom,
% 27.83/28.17 ! [V_r_2,V_p_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_finite__trancl,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 27.83/28.17 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trancl__unfold,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_r__r__into__trancl,axiom,
% 27.83/28.17 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => ( 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))
% 27.83/28.17 => 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trancl__into__trancl2,axiom,
% 27.83/28.17 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => ( 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)))
% 27.83/28.17 => 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 27.83/28.17 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ( 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))
% 27.83/28.17 => 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trancl__trans,axiom,
% 27.83/28.17 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ( 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)))
% 27.83/28.17 => 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trancl__subset__Sigma,axiom,
% 27.83/28.17 ! [V_A_2,V_r_2,T_b] :
% 27.83/28.17 ( 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))))
% 27.83/28.17 => 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)))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_acyclic__def,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 27.83/28.17 <=> ! [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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_reflcl__trancl,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trancl__reflcl,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trancl__Int__subset,axiom,
% 27.83/28.17 ! [V_s_2,V_r_2,T_b] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => ( 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))
% 27.83/28.17 => 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)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trancl__subset__Field2,axiom,
% 27.83/28.17 ! [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))))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trancl__power,axiom,
% 27.83/28.17 ! [V_R_2,V_p_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 27.83/28.17 <=> ? [B_n] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 27.83/28.17 & 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_less__eq,axiom,
% 27.83/28.17 ! [V_n_2,V_m_2] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_irrefl__tranclI,axiom,
% 27.83/28.17 ! [V_x_2,V_r_2,T_b] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => ~ 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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_acyclicI,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( ! [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)))
% 27.83/28.17 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__converse,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trancl__converse,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_wf__converse__trancl,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 27.83/28.17 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_acyclic__converse,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 27.83/28.17 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_converse__inv__image,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_converse__INTER,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_converseD,axiom,
% 27.83/28.17 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => 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)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_converseI,axiom,
% 27.83/28.17 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => 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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_converse__iff,axiom,
% 27.83/28.17 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 <=> 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)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_in__listrel1__converse,axiom,
% 27.83/28.17 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 27.83/28.17 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_finite__converse,axiom,
% 27.83/28.17 ! [V_r_2,T_c,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 27.83/28.17 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_total__on__converse,axiom,
% 27.83/28.17 ! [V_r_2,V_A_2,T_b] :
% 27.83/28.17 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 27.83/28.17 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_converse__Id__on,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_converse__converse,axiom,
% 27.83/28.17 ! [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 ).
% 27.83/28.17
% 27.83/28.17 fof(fact_converse__Id,axiom,
% 27.83/28.17 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Field__converse,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_converse__Un,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_converse__rel__comp,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_listrel1__converse,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_refl__on__converse,axiom,
% 27.83/28.17 ! [V_r_2,V_A_2,T_b] :
% 27.83/28.17 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 27.83/28.17 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_equiv__comp__eq,axiom,
% 27.83/28.17 ! [V_r_2,V_A_2,T_b] :
% 27.83/28.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 27.83/28.17 => 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 ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_converse__Int,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Range__def,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Domain__converse,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Range__converse,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_converse__UNION,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__converseI,axiom,
% 27.83/28.17 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => 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)))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__converseD,axiom,
% 27.83/28.17 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 27.83/28.17 ( 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))))
% 27.83/28.17 => 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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trancl__converseI,axiom,
% 27.83/28.17 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 27.83/28.17 ( 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))))
% 27.83/28.17 => 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)))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trancl__converseD,axiom,
% 27.83/28.17 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 27.83/28.17 ( 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))))
% 27.83/28.17 => 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)))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Image__subset__eq,axiom,
% 27.83/28.17 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 27.83/28.17 ( 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))
% 27.83/28.17 <=> 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))))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_refl__on__comp__subset,axiom,
% 27.83/28.17 ! [V_r_2,V_A_2,T_b] :
% 27.83/28.17 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 27.83/28.17 => 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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_comp__equivI,axiom,
% 27.83/28.17 ! [V_A_2,V_r_2,T_b] :
% 27.83/28.17 ( 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
% 27.83/28.17 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2
% 27.83/28.17 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_finite__acyclic__wf__converse,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 27.83/28.17 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 27.83/28.17 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_converse__def,axiom,
% 27.83/28.17 ! [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))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Image__INT__eq,axiom,
% 27.83/28.17 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] :
% 27.83/28.17 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))
% 27.83/28.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 27.83/28.17 => 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)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Image__Int__eq,axiom,
% 27.83/28.17 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] :
% 27.83/28.17 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2))
% 27.83/28.17 => 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)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_single__valued__rel__pow,axiom,
% 27.83/28.17 ! [V_n_2,V_R_2,T_b] :
% 27.83/28.17 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2)
% 27.83/28.17 => 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)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_single__valued__Id__on,axiom,
% 27.83/28.17 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_single__valued__subset,axiom,
% 27.83/28.17 ! [V_s_2,V_r_2,T_c,T_b] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 27.83/28.17 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_single__valued__rel__comp,axiom,
% 27.83/28.17 ! [V_s_2,T_d,V_r_2,T_c,T_b] :
% 27.83/28.17 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 27.83/28.17 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2)
% 27.83/28.17 => 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)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_single__valued__Id,axiom,
% 27.83/28.17 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_single__valuedD,axiom,
% 27.83/28.17 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 27.83/28.17 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 27.83/28.17 => ( 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))
% 27.83/28.17 => ( 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))
% 27.83/28.17 => V_y_2 = V_z_2 ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_single__valued__def,axiom,
% 27.83/28.17 ! [V_r_2,T_c,T_b] :
% 27.83/28.17 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 27.83/28.17 <=> ! [B_x,B_y] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => ! [B_z] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => B_y = B_z ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_single__valued__confluent,axiom,
% 27.83/28.17 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2)
% 27.83/28.17 => ( 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)))
% 27.83/28.17 => ( 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)))
% 27.83/28.17 => ( 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)))
% 27.83/28.17 | 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))) ) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 27.83/28.17 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_b] :
% 27.83/28.17 ( 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))))
% 27.83/28.17 => ( ! [B_x] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ! [B_y] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => B_y = B_x ) )
% 27.83/28.17 => 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rtrancl__Un__separatorE,axiom,
% 27.83/28.17 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_b] :
% 27.83/28.17 ( 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))))
% 27.83/28.17 => ( ! [B_x] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ! [B_y] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => B_x = B_y ) )
% 27.83/28.17 => 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Cons__eq__filter__iff,axiom,
% 27.83/28.17 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 27.83/28.17 ( 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)
% 27.83/28.17 <=> ? [B_us,B_vs] :
% 27.83/28.17 ( 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))
% 27.83/28.17 & ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 27.83/28.17 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 27.83/28.17 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.17 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rel__pow__Suc__D2,axiom,
% 27.83/28.17 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ? [B_y] :
% 27.83/28.17 ( 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))
% 27.83/28.17 & 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rel__pow__Suc__E,axiom,
% 27.83/28.17 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ~ ! [B_y] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ~ 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)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rel__pow__Suc__E2,axiom,
% 27.83/28.17 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ~ ! [B_y] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => ~ 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Sigma__mono,axiom,
% 27.83/28.17 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 27.83/28.17 => ( ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.17 => 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))) )
% 27.83/28.17 => 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_tranclD2,axiom,
% 27.83/28.17 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ? [B_z] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 & 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)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_tranclD,axiom,
% 27.83/28.17 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ? [B_z] :
% 27.83/28.17 ( 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))
% 27.83/28.17 & 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_not__acc__down,axiom,
% 27.83/28.17 ! [V_R_2,V_x_2,T_b] :
% 27.83/28.17 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2)))
% 27.83/28.17 => ~ ! [B_z] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_acc_OaccI,axiom,
% 27.83/28.17 ! [V_r_2,V_x_2,T_b] :
% 27.83/28.17 ( ! [B_y] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) )
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fold__image__1,axiom,
% 27.83/28.17 ! [V_f_2,V_S_2,T_b,T_c] :
% 27.83/28.17 ( class_Groups_Ocomm__monoid__mult(T_c)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 27.83/28.17 => ( ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 27.83/28.17 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 27.83/28.17 => 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) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_order__fun_I1_J,axiom,
% 27.83/28.17 ! [V_g_2,V_f_2,T_b,T_c] :
% 27.83/28.17 ( ( class_Orderings_Oorder(T_c)
% 27.83/28.17 & class_Enum_Oenum(T_b) )
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 27.83/28.17 <=> 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_card_Oneutral,axiom,
% 27.83/28.17 ! [V_A_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.17 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 27.83/28.17 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_all__code,axiom,
% 27.83/28.17 ! [V_Pa_2,T_b] :
% 27.83/28.17 ( class_Enum_Oenum(T_b)
% 27.83/28.17 => ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 27.83/28.17 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_enum__all,axiom,
% 27.83/28.17 ! [V_Pa_2,T_b] :
% 27.83/28.17 ( class_Enum_Oenum(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2))
% 27.83/28.17 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_enum__all__prod__def,axiom,
% 27.83/28.17 ! [V_Pa_2,T_b,T_c] :
% 27.83/28.17 ( ( class_Enum_Oenum(T_c)
% 27.83/28.17 & class_Enum_Oenum(T_b) )
% 27.83/28.17 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_Pa_2))
% 27.83/28.17 <=> 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))))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_max__ext_Osimps,axiom,
% 27.83/28.17 ! [V_R_2,V_a2_2,V_a1_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 27.83/28.17 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 27.83/28.17 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.17 & ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 27.83/28.17 => ? [B_xa] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 27.83/28.17 & 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)) ) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_list__ball__nth,axiom,
% 27.83/28.17 ! [V_Pa_2,V_xs_2,T_b,V_n_2] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ( ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.17 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 27.83/28.17 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_sorted_OCons,axiom,
% 27.83/28.17 ! [V_x_2,V_xs_2,T_b] :
% 27.83/28.17 ( class_Orderings_Olinorder(T_b)
% 27.83/28.17 => ( ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) )
% 27.83/28.17 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 27.83/28.17 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_InterI,axiom,
% 27.83/28.17 ! [V_A_2,V_C_2,T_b] :
% 27.83/28.17 ( ! [B_X] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) )
% 27.83/28.17 => 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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fold__image__cong,axiom,
% 27.83/28.17 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 27.83/28.17 ( class_Groups_Oab__semigroup__mult(T_c)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.17 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 27.83/28.17 => 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) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Min__eqI,axiom,
% 27.83/28.17 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Orderings_Olinorder(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( ! [B_y] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) )
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.17 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Max__eqI,axiom,
% 27.83/28.17 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Orderings_Olinorder(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( ! [B_y] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) )
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.17 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_wf__no__infinite__down__chainE,axiom,
% 27.83/28.17 ! [V_f_2,V_r_2,T_b] :
% 27.83/28.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 27.83/28.17 => ~ ! [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)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_list__ex__length,axiom,
% 27.83/28.17 ! [V_xs_2,V_Pa_2,T_b] :
% 27.83/28.17 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 27.83/28.17 <=> ? [B_n] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_setsum__reindex__cong,axiom,
% 27.83/28.17 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 27.83/28.17 ( class_Groups_Ocomm__monoid__add(T_d)
% 27.83/28.17 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.17 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 27.83/28.17 => ( ! [B_a] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 27.83/28.17 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 27.83/28.17 => 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) ) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_list__ex__simps_I1_J,axiom,
% 27.83/28.17 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 27.83/28.17 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 27.83/28.17 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.17 | c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_list__ex__append,axiom,
% 27.83/28.17 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 27.83/28.17 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 27.83/28.17 <=> ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 27.83/28.17 | c_List_Olist__ex(T_b,V_Pa_2,V_ys_2) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_list__ex__iff,axiom,
% 27.83/28.17 ! [V_xs_2,V_Pa_2,T_b] :
% 27.83/28.17 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 27.83/28.17 <=> ? [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.17 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_list__ex__rev,axiom,
% 27.83/28.17 ! [V_xs_2,V_Pa_2,T_b] :
% 27.83/28.17 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 27.83/28.17 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_list__ex__simps_I2_J,axiom,
% 27.83/28.17 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_IdE,axiom,
% 27.83/28.17 ! [V_p_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b)))
% 27.83/28.17 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_setsum__ivl__cong,axiom,
% 27.83/28.17 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] :
% 27.83/28.17 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.17 & class_Orderings_Oord(T_b) )
% 27.83/28.17 => ( V_a_2 = V_c_2
% 27.83/28.17 => ( V_b_2 = V_d_2
% 27.83/28.17 => ( ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x))
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2))
% 27.83/28.17 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 27.83/28.17 => 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)) ) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_in__set__conv__decomp__first,axiom,
% 27.83/28.17 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.17 <=> ? [B_ys] :
% 27.83/28.17 ( ? [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))
% 27.83/28.17 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_in__set__conv__decomp__last,axiom,
% 27.83/28.17 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.17 <=> ? [B_ys,B_zs] :
% 27.83/28.17 ( 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))
% 27.83/28.17 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_in__set__conv__decomp,axiom,
% 27.83/28.17 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.17 <=> ? [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)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 27.83/28.17 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Orderings_Olinorder(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.17 => 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) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_sup__Sup__fold__sup,axiom,
% 27.83/28.17 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_inf__Inf__fold__inf,axiom,
% 27.83/28.17 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fold__def,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_folding_Oeq__fold,axiom,
% 27.83/28.17 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fold__image__def,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fold__empty,axiom,
% 27.83/28.17 ! [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 ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fold__inf__insert,axiom,
% 27.83/28.17 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Lattices_Osemilattice__inf(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fold__sup__insert,axiom,
% 27.83/28.17 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Lattices_Osemilattice__sup(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_union__fold__insert,axiom,
% 27.83/28.17 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_min__max_Ofold__sup__insert,axiom,
% 27.83/28.17 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Orderings_Olinorder(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_min__max_Ofold__inf__insert,axiom,
% 27.83/28.17 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Orderings_Olinorder(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 27.83/28.17 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 27.83/28.17 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_sup__SUPR__fold__sup,axiom,
% 27.83/28.17 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 27.83/28.17 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_inf__INFI__fold__inf,axiom,
% 27.83/28.17 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 27.83/28.17 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 27.83/28.17 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 27.83/28.17 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 27.83/28.17 => 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) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_sup__le__fold__sup,axiom,
% 27.83/28.17 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Lattices_Osemilattice__sup(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.17 => 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))) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fold__inf__le__inf,axiom,
% 27.83/28.17 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Lattices_Osemilattice__inf(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.17 => 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))) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 27.83/28.17 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Orderings_Olinorder(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.17 => 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))) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 27.83/28.17 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Orderings_Olinorder(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.17 => 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))) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Sup__fold__sup,axiom,
% 27.83/28.17 ! [V_A_2,T_b] :
% 27.83/28.17 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Inf__fold__inf,axiom,
% 27.83/28.17 ! [V_A_2,T_b] :
% 27.83/28.17 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fold1__eq__fold__idem,axiom,
% 27.83/28.17 ! [V_a_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 27.83/28.17 ! [V_a_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Lattices_Olattice(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 27.83/28.17 ! [V_a_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Lattices_Olattice(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 27.83/28.17 ! [V_a_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Orderings_Olinorder(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 27.83/28.17 ! [V_a_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Orderings_Olinorder(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 27.83/28.17 ! [V_a_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Orderings_Olinorder(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 27.83/28.17 ! [V_a_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Orderings_Olinorder(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_minus__fold__remove,axiom,
% 27.83/28.17 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_folding__one_Oeq__fold_H,axiom,
% 27.83/28.17 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.17 => 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) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_SUPR__fold__sup,axiom,
% 27.83/28.17 ! [V_f_2,V_A_2,T_b,T_c] :
% 27.83/28.17 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_INFI__fold__inf,axiom,
% 27.83/28.17 ! [V_f_2,V_A_2,T_b,T_c] :
% 27.83/28.17 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fold1__eq__fold,axiom,
% 27.83/28.17 ! [V_a_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Groups_Oab__semigroup__mult(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.17 => 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) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 27.83/28.17 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Lattices_Olattice(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.17 => 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) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 27.83/28.17 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Lattices_Olattice(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.17 => 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) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Min_Oeq__fold_H,axiom,
% 27.83/28.17 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Orderings_Olinorder(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.17 => 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) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Max_Oeq__fold_H,axiom,
% 27.83/28.17 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Orderings_Olinorder(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.17 => 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) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 27.83/28.17 ! [V_x_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Orderings_Olinorder(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.17 => 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) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 27.83/28.17 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.17 => 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)))))) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 27.83/28.17 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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)))))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 27.83/28.17 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 27.83/28.17 => 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)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 27.83/28.17 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 27.83/28.17 => 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)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 27.83/28.17 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 27.83/28.17 => 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)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 27.83/28.17 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 27.83/28.17 => V_y_2 = V_x_2 ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fun__left__comm,axiom,
% 27.83/28.17 ! [T_b] :
% 27.83/28.17 ( class_Groups_Oab__semigroup__mult(T_b)
% 27.83/28.17 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fun__left__comm__insort,axiom,
% 27.83/28.17 ! [T_b] :
% 27.83/28.17 ( class_Orderings_Olinorder(T_b)
% 27.83/28.17 => 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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 27.83/28.17 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 27.83/28.17 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 27.83/28.17 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 27.83/28.17 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 27.83/28.17 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.17 => 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) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 27.83/28.17 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.17 => 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)) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 27.83/28.17 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 27.83/28.17 => 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)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 27.83/28.17 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.17 => ? [B_y_H] :
% 27.83/28.17 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 27.83/28.17 & 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)) ) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 27.83/28.17 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 27.83/28.17 => ( 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))
% 27.83/28.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.17 => ~ ! [B_y] :
% 27.83/28.17 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 27.83/28.17 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 27.83/28.17 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Orderings_Olinorder(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 27.83/28.17 => 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))) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 27.83/28.17 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Orderings_Olinorder(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 27.83/28.17 => 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))) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_inf__le__fold__inf,axiom,
% 27.83/28.17 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Lattices_Osemilattice__inf(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 27.83/28.17 => 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))) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fold__sup__le__sup,axiom,
% 27.83/28.17 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 27.83/28.17 ( class_Lattices_Osemilattice__sup(T_b)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 27.83/28.17 => 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))) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_wf__eq__minimal,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 27.83/28.17 <=> ! [B_Q] :
% 27.83/28.17 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 27.83/28.17 => ? [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 27.83/28.17 & ! [B_y] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 27.83/28.17 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 27.83/28.17 => 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)) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 27.83/28.17 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 27.83/28.17 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 27.83/28.17 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 27.83/28.17 => 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) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 27.83/28.17 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 27.83/28.17 => 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)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 27.83/28.17 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 27.83/28.17 => 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) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_transfer__nat__int__set__cong,axiom,
% 27.83/28.17 ! [V_P_H_2,V_Pa_2] :
% 27.83/28.17 ( ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 27.83/28.17 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 27.83/28.17 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) )
% 27.83/28.17 => 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)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Int__Collect__mono,axiom,
% 27.83/28.17 ! [V_Qa_2,V_Pa_2,V_B_2,V_A_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 27.83/28.17 => ( ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.17 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 27.83/28.17 => hBOOL(hAPP(V_Qa_2,B_x)) ) )
% 27.83/28.17 => 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)))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_UnionE,axiom,
% 27.83/28.17 ! [V_C_2,V_A_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ~ ! [B_X] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X))
% 27.83/28.17 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_converseE,axiom,
% 27.83/28.17 ! [V_r_2,V_yx_2,T_c,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ~ ! [B_x,B_y] :
% 27.83/28.17 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x)
% 27.83/28.17 => ~ 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)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rel__compE,axiom,
% 27.83/28.17 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ~ ! [B_x,B_y,B_z] :
% 27.83/28.17 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)
% 27.83/28.17 => ( 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))
% 27.83/28.17 => ~ 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)) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 27.83/28.17 ! [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))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 27.83/28.17 ! [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))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Nitpick_Oof__frac__def,axiom,
% 27.83/28.17 ! [V_q,T_a,T_b] :
% 27.83/28.17 ( ( class_Rings_Oinverse(T_b)
% 27.83/28.17 & class_Rings_Oring__1(T_b) )
% 27.83/28.17 => 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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 27.83/28.17 ! [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))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Nitpick_Oless__frac__def,axiom,
% 27.83/28.17 ! [V_r_2,V_q_2,T_b] :
% 27.83/28.17 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2)
% 27.83/28.17 <=> 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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 27.83/28.17 ! [V_r_2,V_q_2,T_b] :
% 27.83/28.17 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2)
% 27.83/28.17 <=> 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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Nitpick_Odenom__def,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Nitpick_Onum__def,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_setprod__pos,axiom,
% 27.83/28.17 ! [V_f_2,V_A_2,T_b,T_c] :
% 27.83/28.17 ( class_Rings_Olinordered__semidom(T_c)
% 27.83/28.17 => ( ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 27.83/28.17 => 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_list__all__length,axiom,
% 27.83/28.17 ! [V_xs_2,V_Pa_2,T_b] :
% 27.83/28.17 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 27.83/28.17 <=> ! [B_n] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_list__all__simps_I1_J,axiom,
% 27.83/28.17 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 27.83/28.17 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 27.83/28.17 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.17 & c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_list__all__append,axiom,
% 27.83/28.17 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 27.83/28.17 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 27.83/28.17 <=> ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 27.83/28.17 & c_List_Olist__all(T_b,V_Pa_2,V_ys_2) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_list__all__iff,axiom,
% 27.83/28.17 ! [V_xs_2,V_Pa_2,T_b] :
% 27.83/28.17 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 27.83/28.17 <=> ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.17 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_list__all__rev,axiom,
% 27.83/28.17 ! [V_xs_2,V_Pa_2,T_b] :
% 27.83/28.17 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 27.83/28.17 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_list__all__simps_I2_J,axiom,
% 27.83/28.17 ! [V_Pa_2,T_b] : c_List_Olist__all(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Ball__set__list__all,axiom,
% 27.83/28.17 ! [V_Pa_2,V_xs_2,T_b] :
% 27.83/28.17 ( ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.17 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 27.83/28.17 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_list__all__iff__raw,axiom,
% 27.83/28.17 ! [V_xs_2,V_Pa_2,T_b] :
% 27.83/28.17 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 27.83/28.17 <=> ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.17 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_list__ex1__simps_I2_J,axiom,
% 27.83/28.17 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 27.83/28.17 ( c_List_Olist__ex1(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 27.83/28.17 <=> ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.17 => 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) )
% 27.83/28.17 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.17 => c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_internal__split__def,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_list__ex1__simps_I1_J,axiom,
% 27.83/28.17 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex1(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_internal__split__conv,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_list__ex1__iff,axiom,
% 27.83/28.17 ! [V_xs_2,V_Pa_2,T_b] :
% 27.83/28.17 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 27.83/28.17 <=> ? [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.17 & hBOOL(hAPP(V_Pa_2,B_x))
% 27.83/28.17 & ! [B_y] :
% 27.83/28.17 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.17 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 27.83/28.17 => B_y = B_x ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_setprod__nonneg,axiom,
% 27.83/28.17 ! [V_f_2,V_A_2,T_b,T_c] :
% 27.83/28.17 ( class_Rings_Olinordered__semidom(T_c)
% 27.83/28.17 => ( ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 27.83/28.17 => 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_finite__less__ub,axiom,
% 27.83/28.17 ! [V_u_2,V_f_2] :
% 27.83/28.17 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 27.83/28.17 => 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)))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_finite__induct,axiom,
% 27.83/28.17 ! [V_Pa_2,V_F_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 27.83/28.17 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 27.83/28.17 => ( ! [B_x,B_F] :
% 27.83/28.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 27.83/28.17 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F))
% 27.83/28.17 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 27.83/28.17 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) )
% 27.83/28.17 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_transfer__morphism__int__nat,axiom,
% 27.83/28.17 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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 27.83/28.17 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 27.83/28.17 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 27.83/28.17 => 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) )
% 27.83/28.17 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 27.83/28.17 => 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)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 27.83/28.17 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 27.83/28.17 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 27.83/28.17 => 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) )
% 27.83/28.17 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 27.83/28.17 => 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)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 27.83/28.17 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_pos__empty__def,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_neg__bind__def,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_neg__map__def,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_neg__single__def,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_pos__bind__def,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_pos__map__def,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_pos__single__def,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_length__splice,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_splice_Osimps_I1_J,axiom,
% 27.83/28.17 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ).
% 27.83/28.17
% 27.83/28.17 fof(fact_splice__Nil2,axiom,
% 27.83/28.17 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ).
% 27.83/28.17
% 27.83/28.17 fof(fact_splice_Osimps_I3_J,axiom,
% 27.83/28.17 ! [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))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_splice_Osimps_I2_J,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_New__DSequence_Opos__single__def,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_acyclicP__converse,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( 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))))
% 27.83/28.17 <=> 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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_converse__meet,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_converse__pred__comp,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_converse__join,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_conversep__eq,axiom,
% 27.83/28.17 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ).
% 27.83/28.17
% 27.83/28.17 fof(fact_conversep__conversep,axiom,
% 27.83/28.17 ! [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 ).
% 27.83/28.17
% 27.83/28.17 fof(fact_conversep__iff,axiom,
% 27.83/28.17 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 27.83/28.17 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_conversep_Oequations,axiom,
% 27.83/28.17 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2))
% 27.83/28.17 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_conversep_Ointros,axiom,
% 27.83/28.17 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_conversepD,axiom,
% 27.83/28.17 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 27.83/28.17 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_conversep__noteq,axiom,
% 27.83/28.17 ! [V_y_2,V_x_2,T_b] :
% 27.83/28.17 ( 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))
% 27.83/28.17 <=> V_x_2 != V_y_2 ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_conversep__converse__eq,axiom,
% 27.83/28.17 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 27.83/28.17 ( 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))
% 27.83/28.17 <=> 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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_,axiom,
% 27.83/28.17 ! [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)))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_tl__replicate,axiom,
% 27.83/28.17 ! [V_x,T_a,V_n] :
% 27.83/28.17 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.17 => 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) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_replicate__0,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_empty__replicate,axiom,
% 27.83/28.17 ! [V_x_2,V_n_2,T_b] :
% 27.83/28.17 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_n_2,V_x_2)
% 27.83/28.17 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_replicate__empty,axiom,
% 27.83/28.17 ! [V_x_2,V_n_2,T_b] :
% 27.83/28.17 ( c_List_Oreplicate(T_b,V_n_2,V_x_2) = c_List_Olist_ONil(T_b)
% 27.83/28.17 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_concat__replicate__trivial,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_filter__replicate,axiom,
% 27.83/28.17 ! [V_n_2,T_b,V_x_2,V_Pa_2] :
% 27.83/28.17 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.17 => 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) )
% 27.83/28.17 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 27.83/28.17 => 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) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_map__replicate__const,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_map__replicate,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_rev__replicate,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_replicate__length__filter,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_nth__replicate,axiom,
% 27.83/28.17 ! [V_x,T_a,V_n,V_i] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 27.83/28.17 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_replicate__eq__replicate,axiom,
% 27.83/28.17 ! [V_y_2,V_n_2,V_x_2,V_m_2,T_b] :
% 27.83/28.17 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_n_2,V_y_2)
% 27.83/28.17 <=> ( V_m_2 = V_n_2
% 27.83/28.17 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.17 => V_x_2 = V_y_2 ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_length__replicate,axiom,
% 27.83/28.17 ! [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 ).
% 27.83/28.17
% 27.83/28.17 fof(fact_zip__replicate,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Ball__set__replicate,axiom,
% 27.83/28.17 ! [V_Pa_2,V_a_2,V_n_2,T_b] :
% 27.83/28.17 ( ! [B_x] :
% 27.83/28.17 ( 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))))
% 27.83/28.17 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 27.83/28.17 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 27.83/28.17 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Bex__set__replicate,axiom,
% 27.83/28.17 ! [V_Pa_2,V_a_2,V_n_2,T_b] :
% 27.83/28.17 ( ? [B_x] :
% 27.83/28.17 ( 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))))
% 27.83/28.17 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 27.83/28.17 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 27.83/28.17 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_drop__replicate,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_last__replicate,axiom,
% 27.83/28.17 ! [V_x,T_a,V_n] :
% 27.83/28.17 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.17 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_hd__replicate,axiom,
% 27.83/28.17 ! [V_x,T_a,V_n] :
% 27.83/28.17 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.17 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_take__replicate,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_append__replicate__commute,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_replicate__add,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_replicate__app__Cons__same,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_replicate__Suc,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_in__set__replicate,axiom,
% 27.83/28.17 ! [V_y_2,V_n_2,V_x_2,T_b] :
% 27.83/28.17 ( 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))))
% 27.83/28.17 <=> ( V_x_2 = V_y_2
% 27.83/28.17 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_replicate__append__same,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_map__replicate__trivial,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_set__replicate__conv__if,axiom,
% 27.83/28.17 ! [V_x_2,T_b,V_n_2] :
% 27.83/28.17 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.17 => 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)) )
% 27.83/28.17 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.17 => 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_set__replicate,axiom,
% 27.83/28.17 ! [V_x_2,T_b,V_n_2] :
% 27.83/28.17 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 27.83/28.17 => 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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_set__replicate__Suc,axiom,
% 27.83/28.17 ! [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))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_small__lazy__list_Osimps,axiom,
% 27.83/28.17 ! [V_d_2,T_b] :
% 27.83/28.17 ( class_Lazy__Sequence_Osmall__lazy(T_b)
% 27.83/28.17 => 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)))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_eq__comp__r,axiom,
% 27.83/28.17 ! [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 ).
% 27.83/28.17
% 27.83/28.17 fof(fact_small__lazy__prod__def,axiom,
% 27.83/28.17 ! [V_d,T_b,T_a] :
% 27.83/28.17 ( ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 27.83/28.17 & class_Lazy__Sequence_Osmall__lazy(T_b) )
% 27.83/28.17 => 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)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_New__DSequence_Opos__union__def,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 27.83/28.17 ! [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))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact__01,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_lazy__sequence_Oinject,axiom,
% 27.83/28.17 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] :
% 27.83/28.17 ( 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)
% 27.83/28.17 <=> ( V_a_2 = V_a_H_2
% 27.83/28.17 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_pos__union__def,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 27.83/28.17 ! [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))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_small__lazy_H_Osimps,axiom,
% 27.83/28.17 ! [V_i,V_d] :
% 27.83/28.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 27.83/28.17 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 27.83/28.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 27.83/28.17 => 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)))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_small__lazy_H_Opsimps,axiom,
% 27.83/28.17 ! [V_i_2,V_d_2] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 27.83/28.17 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 27.83/28.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 27.83/28.17 => 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)))) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_small__lazy__int__def,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_small__lazy_H_Opinduct,axiom,
% 27.83/28.17 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ( ! [B_d,B_i] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 27.83/28.17 => 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)))) )
% 27.83/28.17 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),B_i)) ) )
% 27.83/28.17 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_size__code,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_lazy__sequence__size__code,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_seq__case,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_yieldn__def,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_refl__on__INTER,axiom,
% 27.83/28.17 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 27.83/28.17 ( ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 27.83/28.17 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 27.83/28.17 => 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)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_List_Omember__def,axiom,
% 27.83/28.17 ! [V_x_2,V_xs_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2))
% 27.83/28.17 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_member__rec_I1_J,axiom,
% 27.83/28.17 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 27.83/28.17 ( 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))
% 27.83/28.17 <=> ( V_x_2 = V_y_2
% 27.83/28.17 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_member__set,axiom,
% 27.83/28.17 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_member__rec_I2_J,axiom,
% 27.83/28.17 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_in__set__member,axiom,
% 27.83/28.17 ! [V_xs_2,V_x_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.17 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_list__ex1__iff__raw,axiom,
% 27.83/28.17 ! [V_xs_2,V_Pa_2,T_b] :
% 27.83/28.17 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 27.83/28.17 <=> ? [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.17 & hBOOL(hAPP(V_Pa_2,B_x))
% 27.83/28.17 & ! [B_y] :
% 27.83/28.17 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.17 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 27.83/28.17 => B_y = B_x ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_setsum__UNION__zero,axiom,
% 27.83/28.17 ! [V_f_2,V_S_2,T_b,T_c] :
% 27.83/28.17 ( class_Groups_Ocomm__monoid__add(T_c)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2))
% 27.83/28.17 => ( ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2))
% 27.83/28.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 27.83/28.17 => ( ! [B_T1] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2))
% 27.83/28.17 => ! [B_T2] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2))
% 27.83/28.17 => ( B_T1 != B_T2
% 27.83/28.17 => ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1))
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2))
% 27.83/28.17 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) )
% 27.83/28.17 => 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) ) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_THE__default__def,axiom,
% 27.83/28.17 ! [V_d_2,T_b,V_Pa_2] :
% 27.83/28.17 ( ( ? [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(V_Pa_2,B_x))
% 27.83/28.17 & ! [B_y] :
% 27.83/28.17 ( hBOOL(hAPP(V_Pa_2,B_y))
% 27.83/28.17 => B_y = B_x ) )
% 27.83/28.17 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) )
% 27.83/28.17 & ( ~ ? [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(V_Pa_2,B_x))
% 27.83/28.17 & ! [B_y] :
% 27.83/28.17 ( hBOOL(hAPP(V_Pa_2,B_y))
% 27.83/28.17 => B_y = B_x ) )
% 27.83/28.17 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = V_d_2 ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_INF2__I,axiom,
% 27.83/28.17 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] :
% 27.83/28.17 ( ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.17 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) )
% 27.83/28.17 => 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)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_SUP2__E,axiom,
% 27.83/28.17 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => ~ ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.17 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_finite__maxlen,axiom,
% 27.83/28.17 ! [V_M_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2))
% 27.83/28.17 => ? [B_n] :
% 27.83/28.17 ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2))
% 27.83/28.17 => 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)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_lazy__sequence_Osize_I3_J,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_lazy__sequence_Osize_I1_J,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_lazy__sequence_Osimps_I4_J,axiom,
% 27.83/28.17 ! [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 ).
% 27.83/28.17
% 27.83/28.17 fof(fact__02,axiom,
% 27.83/28.17 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ).
% 27.83/28.17
% 27.83/28.17 fof(fact_lazy__sequence_Osimps_I3_J,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_lazy__sequence_Osimps_I2_J,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_list__all__iff__all__interval__int,axiom,
% 27.83/28.17 ! [V_j_2,V_i_2,V_Pa_2] :
% 27.83/28.17 ( c_List_Olist__all(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 27.83/28.17 <=> c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_list__ex__iff__not__all__inverval__int,axiom,
% 27.83/28.17 ! [V_j_2,V_i_2,V_Pa_2] :
% 27.83/28.17 ( c_List_Olist__ex(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 27.83/28.17 <=> ~ 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) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_all__interval__int__def,axiom,
% 27.83/28.17 ! [V_j_2,V_i_2,V_Pa_2] :
% 27.83/28.17 ( c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2)
% 27.83/28.17 <=> ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2)))
% 27.83/28.17 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Random_Osimps,axiom,
% 27.83/28.17 ! [V_size_2,V_g_2,T_b,V_nrandom_2] :
% 27.83/28.17 ( ( 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)))
% 27.83/28.17 => 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)) )
% 27.83/28.17 & ( ~ 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)))
% 27.83/28.17 => 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))))))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_exE__realizer,axiom,
% 27.83/28.17 ! [T_d,V_f_2,V_Qa_2,V_p_2,T_b,T_c,V_Pa_2] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ( ! [B_x,B_y] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(V_Pa_2,B_y),B_x))
% 27.83/28.17 => hBOOL(hAPP(V_Qa_2,hAPP(hAPP(V_f_2,B_x),B_y))) )
% 27.83/28.17 => 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Random__Sequence_Oempty__def,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Random__Sequence_Osingle__def,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Random__Sequence_Omap__def,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Image__Collect__split,axiom,
% 27.83/28.17 ! [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)))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Bex__set__list__ex,axiom,
% 27.83/28.17 ! [V_Pa_2,V_xs_2,T_b] :
% 27.83/28.17 ( ? [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.17 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 27.83/28.17 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_list__ex__iff__raw,axiom,
% 27.83/28.17 ! [V_xs_2,V_Pa_2,T_b] :
% 27.83/28.17 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 27.83/28.17 <=> ? [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 27.83/28.17 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_UN__eq,axiom,
% 27.83/28.17 ! [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))))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_SUPR__bool__eq,axiom,
% 27.83/28.17 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_bex__empty,axiom,
% 27.83/28.17 ! [V_Pa_2,T_b] :
% 27.83/28.17 ~ ? [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 27.83/28.17 & hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_bex__UNIV,axiom,
% 27.83/28.17 ! [V_Pa_2,T_b] :
% 27.83/28.17 ( ? [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 27.83/28.17 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 27.83/28.17 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_finite__Collect__bex,axiom,
% 27.83/28.17 ! [V_Qa_2,T_c,V_A_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( 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)))))
% 27.83/28.17 <=> ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 27.83/28.17 => 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)))) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Union__eq,axiom,
% 27.83/28.17 ! [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)))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_INT__eq,axiom,
% 27.83/28.17 ! [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))))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Sup__fun__def,axiom,
% 27.83/28.17 ! [V_x_2,V_A_2,T_c,T_b] :
% 27.83/28.17 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.17 => 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)))))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Sup__apply,axiom,
% 27.83/28.17 ! [V_x_2,V_A_2,T_c,T_b] :
% 27.83/28.17 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.17 => 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)))))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Inf__apply,axiom,
% 27.83/28.17 ! [V_x_2,V_A_2,T_c,T_b] :
% 27.83/28.17 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.17 => 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)))))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_Inf__fun__def,axiom,
% 27.83/28.17 ! [V_x_2,V_A_2,T_c,T_b] :
% 27.83/28.17 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 27.83/28.17 => 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)))))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_max__extp_Ointros,axiom,
% 27.83/28.17 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 27.83/28.17 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.17 => ( ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 27.83/28.17 => ? [B_xa] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 27.83/28.17 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) )
% 27.83/28.17 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_max__extp_Osimps,axiom,
% 27.83/28.17 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 27.83/28.17 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 27.83/28.17 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 27.83/28.17 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 27.83/28.17 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 27.83/28.17 & ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 27.83/28.17 => ? [B_xa] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 27.83/28.17 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fun__lub__def,axiom,
% 27.83/28.17 ! [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)))))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_lexord__trans,axiom,
% 27.83/28.17 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 27.83/28.17 => ( c_Relation_Otrans(T_b,V_r_2)
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trans__less__than,axiom,
% 27.83/28.17 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trans__lex__prod,axiom,
% 27.83/28.17 ! [V_R2_2,T_c,V_R1_2,T_b] :
% 27.83/28.17 ( c_Relation_Otrans(T_b,V_R1_2)
% 27.83/28.17 => ( c_Relation_Otrans(T_c,V_R2_2)
% 27.83/28.17 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trans__trancl,axiom,
% 27.83/28.17 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trancl__id,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Otrans(T_b,V_r_2)
% 27.83/28.17 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trans__reflclI,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Otrans(T_b,V_r_2)
% 27.83/28.17 => 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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trans__O__subset,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Otrans(T_b,V_r_2)
% 27.83/28.17 => 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)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trans__Int,axiom,
% 27.83/28.17 ! [V_s_2,V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Otrans(T_b,V_r_2)
% 27.83/28.17 => ( c_Relation_Otrans(T_b,V_s_2)
% 27.83/28.17 => 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)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trans__finite__psubset,axiom,
% 27.83/28.17 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_lexord__transI,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Otrans(T_b,V_r_2)
% 27.83/28.17 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trans__Id__on,axiom,
% 27.83/28.17 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trans__Id,axiom,
% 27.83/28.17 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_listrel__trans,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Otrans(T_b,V_r_2)
% 27.83/28.17 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trans__inv__image,axiom,
% 27.83/28.17 ! [V_f_2,T_c,V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Otrans(T_b,V_r_2)
% 27.83/28.17 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trans__rtrancl,axiom,
% 27.83/28.17 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trans__converse,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 27.83/28.17 <=> c_Relation_Otrans(T_b,V_r_2) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_transD,axiom,
% 27.83/28.17 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Otrans(T_b,V_r_2)
% 27.83/28.17 => ( 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))
% 27.83/28.17 => ( 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))
% 27.83/28.17 => 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)) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trans__def,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Otrans(T_b,V_r_2)
% 27.83/28.17 <=> ! [B_x,B_y] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => ! [B_z] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => 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)) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_transp__def,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Predicate_Otransp(T_b,V_r_2)
% 27.83/28.17 <=> 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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_trans__diff__Id,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Otrans(T_b,V_r_2)
% 27.83/28.17 => ( c_Relation_Oantisym(T_b,V_r_2)
% 27.83/28.17 => 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))) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_antisym__converse,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 27.83/28.17 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_antisym__Id__on,axiom,
% 27.83/28.17 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_antisym__Id,axiom,
% 27.83/28.17 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_transpE,axiom,
% 27.83/28.17 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 27.83/28.17 ( c_Predicate_Otransp(T_b,V_r_2)
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2))
% 27.83/28.17 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_antisym__empty,axiom,
% 27.83/28.17 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_antisym__subset,axiom,
% 27.83/28.17 ! [V_s_2,V_r_2,T_b] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => ( c_Relation_Oantisym(T_b,V_s_2)
% 27.83/28.17 => c_Relation_Oantisym(T_b,V_r_2) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_antisym__def,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Oantisym(T_b,V_r_2)
% 27.83/28.17 <=> ! [B_x,B_y] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => ( 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))
% 27.83/28.17 => B_x = B_y ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_antisymD,axiom,
% 27.83/28.17 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Oantisym(T_b,V_r_2)
% 27.83/28.17 => ( 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))
% 27.83/28.17 => ( 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))
% 27.83/28.17 => V_a_2 = V_b_2 ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_antisym__reflcl,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_acyclic__impl__antisym__rtrancl,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 27.83/28.17 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_equivpE,axiom,
% 27.83/28.17 ! [V_R_2,T_b] :
% 27.83/28.17 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 27.83/28.17 => ~ ( c_Predicate_Oreflp(T_b,V_R_2)
% 27.83/28.17 => ( c_Predicate_Osymp(T_b,V_R_2)
% 27.83/28.17 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_equivpI,axiom,
% 27.83/28.17 ! [V_R_2,T_b] :
% 27.83/28.17 ( c_Predicate_Oreflp(T_b,V_R_2)
% 27.83/28.17 => ( c_Predicate_Osymp(T_b,V_R_2)
% 27.83/28.17 => ( c_Predicate_Otransp(T_b,V_R_2)
% 27.83/28.17 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_sympE,axiom,
% 27.83/28.17 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 27.83/28.17 ( c_Predicate_Osymp(T_b,V_r_2)
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 27.83/28.17 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_equivp__reflp__symp__transp,axiom,
% 27.83/28.17 ! [V_R_2,T_b] :
% 27.83/28.17 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 27.83/28.17 <=> ( c_Predicate_Oreflp(T_b,V_R_2)
% 27.83/28.17 & c_Predicate_Osymp(T_b,V_R_2)
% 27.83/28.17 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_sym__trans__comp__subset,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Osym(T_b,V_r_2)
% 27.83/28.17 => ( c_Relation_Otrans(T_b,V_r_2)
% 27.83/28.17 => 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)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_part__equivpI,axiom,
% 27.83/28.17 ! [T_b,V_R_2] :
% 27.83/28.17 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 27.83/28.17 => ( c_Predicate_Osymp(T_b,V_R_2)
% 27.83/28.17 => ( c_Predicate_Otransp(T_b,V_R_2)
% 27.83/28.17 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_sym__def,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Osym(T_b,V_r_2)
% 27.83/28.17 <=> ! [B_x,B_y] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => 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)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_symD,axiom,
% 27.83/28.17 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Osym(T_b,V_r_2)
% 27.83/28.17 => ( 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))
% 27.83/28.17 => 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)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_sym__converse,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 27.83/28.17 <=> c_Relation_Osym(T_b,V_r_2) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_sym__conv__converse__eq,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Osym(T_b,V_r_2)
% 27.83/28.17 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_sym__Un__converse,axiom,
% 27.83/28.17 ! [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))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_sym__rtrancl,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Osym(T_b,V_r_2)
% 27.83/28.17 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_sym__inv__image,axiom,
% 27.83/28.17 ! [V_f_2,T_c,V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Osym(T_b,V_r_2)
% 27.83/28.17 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_listrel__sym,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Osym(T_b,V_r_2)
% 27.83/28.17 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_sym__Id,axiom,
% 27.83/28.17 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_part__equivp__transp,axiom,
% 27.83/28.17 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 27.83/28.17 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 27.83/28.17 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_part__equivp__symp,axiom,
% 27.83/28.17 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 27.83/28.17 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 27.83/28.17 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_part__equivp__def,axiom,
% 27.83/28.17 ! [V_R_2,T_b] :
% 27.83/28.17 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 27.83/28.17 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 27.83/28.17 & ! [B_x,B_y] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 27.83/28.17 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 27.83/28.17 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y))
% 27.83/28.17 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_sym__Id__on,axiom,
% 27.83/28.17 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_sym__Un,axiom,
% 27.83/28.17 ! [V_s_2,V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Osym(T_b,V_r_2)
% 27.83/28.17 => ( c_Relation_Osym(T_b,V_s_2)
% 27.83/28.17 => 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)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_sym__Int,axiom,
% 27.83/28.17 ! [V_s_2,V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Osym(T_b,V_r_2)
% 27.83/28.17 => ( c_Relation_Osym(T_b,V_s_2)
% 27.83/28.17 => 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)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_equivp__implies__part__equivp,axiom,
% 27.83/28.17 ! [V_R_2,T_b] :
% 27.83/28.17 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 27.83/28.17 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_sym__trancl,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Relation_Osym(T_b,V_r_2)
% 27.83/28.17 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_sym__Int__converse,axiom,
% 27.83/28.17 ! [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))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_equiv__def,axiom,
% 27.83/28.17 ! [V_r_2,V_A_2,T_b] :
% 27.83/28.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 27.83/28.17 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 27.83/28.17 & c_Relation_Osym(T_b,V_r_2)
% 27.83/28.17 & c_Relation_Otrans(T_b,V_r_2) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_equivI,axiom,
% 27.83/28.17 ! [V_r_2,V_A_2,T_b] :
% 27.83/28.17 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 27.83/28.17 => ( c_Relation_Osym(T_b,V_r_2)
% 27.83/28.17 => ( c_Relation_Otrans(T_b,V_r_2)
% 27.83/28.17 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_equivE,axiom,
% 27.83/28.17 ! [V_r_2,V_A_2,T_b] :
% 27.83/28.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 27.83/28.17 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 27.83/28.17 => ( c_Relation_Osym(T_b,V_r_2)
% 27.83/28.17 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_symp__def,axiom,
% 27.83/28.17 ! [V_r_2,T_b] :
% 27.83/28.17 ( c_Predicate_Osymp(T_b,V_r_2)
% 27.83/28.17 <=> 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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_part__equivp__refl__symp__transp,axiom,
% 27.83/28.17 ! [V_R_2,T_b] :
% 27.83/28.17 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 27.83/28.17 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 27.83/28.17 & c_Predicate_Osymp(T_b,V_R_2)
% 27.83/28.17 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_part__equivpE,axiom,
% 27.83/28.17 ! [V_R_2,T_b] :
% 27.83/28.17 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 27.83/28.17 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 27.83/28.17 => ( c_Predicate_Osymp(T_b,V_R_2)
% 27.83/28.17 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_part__equivp__typedef,axiom,
% 27.83/28.17 ! [V_R_2,T_b] :
% 27.83/28.17 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 27.83/28.17 => ? [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))))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_inj__iff,axiom,
% 27.83/28.17 ! [V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.17 <=> 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) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_inv__o__cancel,axiom,
% 27.83/28.17 ! [V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.17 => 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) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_o__inv__o__cancel,axiom,
% 27.83/28.17 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.17 => 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 ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_inj__on__inv__into,axiom,
% 27.83/28.17 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => 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) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_inv__into__image__cancel,axiom,
% 27.83/28.17 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2))
% 27.83/28.17 => 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 ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_inj__imp__surj__inv,axiom,
% 27.83/28.17 ! [V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.17 => 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)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_image__inv__f__f,axiom,
% 27.83/28.17 ! [V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.17 => 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 ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_inv__image__comp,axiom,
% 27.83/28.17 ! [V_X_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.17 => 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 ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_surj__imp__inj__inv,axiom,
% 27.83/28.17 ! [V_f_2,T_b,T_c] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => 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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_image__inv__into__cancel,axiom,
% 27.83/28.17 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 27.83/28.17 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2))
% 27.83/28.17 => 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 ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_surj__iff__all,axiom,
% 27.83/28.17 ! [V_f_2,T_b,T_c] :
% 27.83/28.17 ( 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))
% 27.83/28.17 <=> ! [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 ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_surj__f__inv__f,axiom,
% 27.83/28.17 ! [V_y_2,V_f_2,T_b,T_c] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => 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 ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_image__surj__f__inv__f,axiom,
% 27.83/28.17 ! [V_A_2,V_f_2,T_b,T_c] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => 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 ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_f__inv__into__f,axiom,
% 27.83/28.17 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 27.83/28.17 => 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 ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_inv__into__into,axiom,
% 27.83/28.17 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 27.83/28.17 => 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)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_inv__into__injective,axiom,
% 27.83/28.17 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] :
% 27.83/28.17 ( 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)
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 27.83/28.17 => V_x_2 = V_y_2 ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_inv__id,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_inv__into__f__eq,axiom,
% 27.83/28.17 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.17 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 27.83/28.17 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_inv__into__f__f,axiom,
% 27.83/28.17 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 27.83/28.17 => 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 ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_inv__f__f,axiom,
% 27.83/28.17 ! [V_x_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.17 => 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 ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_inv__f__eq,axiom,
% 27.83/28.17 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.17 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 27.83/28.17 => 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 ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_inv__into__def,axiom,
% 27.83/28.17 ! [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))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_inv__def,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_inv__into__comp,axiom,
% 27.83/28.17 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 27.83/28.17 => ( 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))))
% 27.83/28.17 => 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) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_surj__iff,axiom,
% 27.83/28.17 ! [V_f_2,T_b,T_c] :
% 27.83/28.17 ( 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))
% 27.83/28.17 <=> 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) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_inj__transfer,axiom,
% 27.83/28.17 ! [V_x_2,V_Pa_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 27.83/28.17 => ( ! [B_y] :
% 27.83/28.17 ( 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)))))
% 27.83/28.17 => 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))) )
% 27.83/28.17 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_fold__image__UN__disjoint,axiom,
% 27.83/28.17 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] :
% 27.83/28.17 ( class_Groups_Ocomm__monoid__mult(T_d)
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2))
% 27.83/28.17 => ( ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 27.83/28.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 27.83/28.17 => ( ! [B_x] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 27.83/28.17 => ! [B_xa] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2))
% 27.83/28.17 => ( B_x != B_xa
% 27.83/28.17 => 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)) ) ) )
% 27.83/28.17 => 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) ) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_nat__of__induct,axiom,
% 27.83/28.17 ! [V_Pa_2,V_y_2] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 27.83/28.17 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Onat__of,B_x)))
% 27.83/28.17 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_nat__of__cases,axiom,
% 27.83/28.17 ! [V_y_2] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 27.83/28.17 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_of__nat__induct,axiom,
% 27.83/28.17 ! [V_x_2,V_Pa_2] :
% 27.83/28.17 ( ! [B_y] :
% 27.83/28.17 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 27.83/28.17 => hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) )
% 27.83/28.17 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_of__nat__cases,axiom,
% 27.83/28.17 ! [V_x_2] :
% 27.83/28.17 ~ ! [B_y] :
% 27.83/28.17 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y)
% 27.83/28.17 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_lazy__sequence_Orecs_I1_J,axiom,
% 27.83/28.17 ! [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 ).
% 27.83/28.17
% 27.83/28.17 fof(fact_beyond__def,axiom,
% 27.83/28.17 ! [V_l,V_k] :
% 27.83/28.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 27.83/28.17 => c_Quickcheck_Obeyond(V_k,V_l) = V_l )
% 27.83/28.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 27.83/28.17 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_beyond__zero,axiom,
% 27.83/28.17 ! [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) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_lazy__sequence_Orecs_I2_J,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_bij__image__Collect__eq,axiom,
% 27.83/28.17 ! [V_Pa_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => 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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_curry__def,axiom,
% 27.83/28.17 ! [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)) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_curryI,axiom,
% 27.83/28.17 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] :
% 27.83/28.17 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 27.83/28.17 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_bij__betw__id,axiom,
% 27.83/28.17 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_o__inv__distrib,axiom,
% 27.83/28.17 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => ( 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)))
% 27.83/28.17 => 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)) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_inv__into__inv__into__eq,axiom,
% 27.83/28.17 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 27.83/28.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 27.83/28.17 => 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) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_bij__betw__inv__into,axiom,
% 27.83/28.17 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 27.83/28.17 => 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) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_inv__inv__eq,axiom,
% 27.83/28.17 ! [V_f_2,T_c,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => 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 ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_bij__imp__bij__inv,axiom,
% 27.83/28.17 ! [V_f_2,T_c,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => 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))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_split__curry,axiom,
% 27.83/28.17 ! [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 ).
% 27.83/28.17
% 27.83/28.17 fof(fact_curry__split,axiom,
% 27.83/28.17 ! [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 ).
% 27.83/28.17
% 27.83/28.17 fof(fact_bij__betw__Disj__Un,axiom,
% 27.83/28.17 ! [V_f_2,V_B_H_2,V_A_H_2,T_c,V_B_2,V_A_2,T_b] :
% 27.83/28.17 ( 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))
% 27.83/28.17 => ( 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))
% 27.83/28.17 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 27.83/28.17 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2)
% 27.83/28.17 => 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)) ) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_bij__betw__combine,axiom,
% 27.83/28.17 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 27.83/28.17 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2)
% 27.83/28.17 => ( 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))
% 27.83/28.17 => 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)) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_bij__betw__imp__inj__on,axiom,
% 27.83/28.17 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 27.83/28.17 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_bij__is__inj,axiom,
% 27.83/28.17 ! [V_f_2,T_c,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_bij__betw__id__iff,axiom,
% 27.83/28.17 ! [V_B_2,V_A_2,T_b] :
% 27.83/28.17 ( c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_B_2)
% 27.83/28.17 <=> V_A_2 = V_B_2 ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_bij__id,axiom,
% 27.83/28.17 ! [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))) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_bij__betw__empty1,axiom,
% 27.83/28.17 ! [V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( 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)
% 27.83/28.17 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_bij__betw__empty2,axiom,
% 27.83/28.17 ! [V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( 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)))
% 27.83/28.17 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_bij__betw__same__card,axiom,
% 27.83/28.17 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 27.83/28.17 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_bij__betw__the__inv__into,axiom,
% 27.83/28.17 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 27.83/28.17 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 27.83/28.17 => 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) ) ).
% 27.83/28.17
% 27.83/28.17 fof(fact_BIJ,axiom,
% 27.83/28.17 ! [V_B_2,T_c,V_A_2,T_b] :
% 27.83/28.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 27.83/28.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 27.83/28.17 => ( ? [B_f] : c_Fun_Obij__betw(T_b,T_c,B_f,V_A_2,V_B_2)
% 27.83/28.17 <=> hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ).
% 27.83/28.17
% 27.83/28.17 %----Arity declarations (219)
% 27.83/28.17 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 27.83/28.17 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 27.83/28.17 ! [T_2,T_1] :
% 27.83/28.17 ( class_Lattices_Obounded__lattice(T_1)
% 27.83/28.17 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 27.83/28.17 ! [T_2,T_1] :
% 27.83/28.17 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 27.83/28.17 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 27.83/28.17 ! [T_2,T_1] :
% 27.83/28.17 ( class_Lattices_Obounded__lattice(T_1)
% 27.83/28.17 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 27.83/28.17 ! [T_2,T_1] :
% 27.83/28.17 ( class_Lattices_Obounded__lattice(T_1)
% 27.83/28.17 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 27.83/28.17 ! [T_2,T_1] :
% 27.83/28.17 ( class_Lattices_Olattice(T_1)
% 27.83/28.17 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 27.83/28.17 ! [T_2,T_1] :
% 27.83/28.17 ( class_Lattices_Olattice(T_1)
% 27.83/28.17 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 27.83/28.17 ! [T_2,T_1] :
% 27.83/28.17 ( class_Lattices_Odistrib__lattice(T_1)
% 27.83/28.17 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 27.83/28.17 ! [T_2,T_1] :
% 27.83/28.17 ( class_Lattices_Oboolean__algebra(T_1)
% 27.83/28.17 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_fun__Orderings_Opreorder,axiom,
% 27.83/28.17 ! [T_2,T_1] :
% 27.83/28.17 ( class_Orderings_Opreorder(T_1)
% 27.83/28.17 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 27.83/28.17 ! [T_1,T_2] :
% 27.83/28.17 ( ( class_Finite__Set_Ofinite(T_2)
% 27.83/28.17 & class_Finite__Set_Ofinite(T_1) )
% 27.83/28.17 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_fun__Lattices_Olattice,axiom,
% 27.83/28.17 ! [T_2,T_1] :
% 27.83/28.17 ( class_Lattices_Olattice(T_1)
% 27.83/28.17 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_fun__Orderings_Oorder,axiom,
% 27.83/28.17 ! [T_2,T_1] :
% 27.83/28.17 ( class_Orderings_Oorder(T_1)
% 27.83/28.17 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_fun__Orderings_Otop,axiom,
% 27.83/28.17 ! [T_2,T_1] :
% 27.83/28.17 ( class_Orderings_Otop(T_1)
% 27.83/28.17 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_fun__Orderings_Oord,axiom,
% 27.83/28.17 ! [T_2,T_1] :
% 27.83/28.17 ( class_Orderings_Oord(T_1)
% 27.83/28.17 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_fun__Orderings_Obot,axiom,
% 27.83/28.17 ! [T_2,T_1] :
% 27.83/28.17 ( class_Orderings_Obot(T_1)
% 27.83/28.17 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_fun__Groups_Ouminus,axiom,
% 27.83/28.17 ! [T_2,T_1] :
% 27.83/28.17 ( class_Groups_Ouminus(T_1)
% 27.83/28.17 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_fun__Groups_Ominus,axiom,
% 27.83/28.17 ! [T_2,T_1] :
% 27.83/28.17 ( class_Groups_Ominus(T_1)
% 27.83/28.17 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_fun__Enum_Oenum,axiom,
% 27.83/28.17 ! [T_1,T_2] :
% 27.83/28.17 ( ( class_Enum_Oenum(T_2)
% 27.83/28.17 & class_Enum_Oenum(T_1) )
% 27.83/28.17 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Com__Ocom__Nat_Osize,axiom,
% 27.83/28.17 class_Nat_Osize(tc_Com_Ocom) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 27.83/28.17 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 27.83/28.17 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 27.83/28.17 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 27.83/28.17 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 27.83/28.17 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 27.83/28.17 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 27.83/28.17 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 27.83/28.17 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 27.83/28.17 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 27.83/28.17 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 27.83/28.17 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 27.83/28.17 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 27.83/28.17 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 27.83/28.17 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 27.83/28.17 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 27.83/28.17 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 27.83/28.17 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 27.83/28.17 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 27.83/28.17 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 27.83/28.17 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 27.83/28.17 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 27.83/28.17 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom,
% 27.83/28.17 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 27.83/28.17 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 27.83/28.17 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 27.83/28.17 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 27.83/28.17 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 27.83/28.17 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 27.83/28.17 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 27.83/28.17 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 27.83/28.17 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 27.83/28.17 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 27.83/28.17 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 27.83/28.17 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 27.83/28.17 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 27.83/28.17 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 27.83/28.17 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 27.83/28.17 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 27.83/28.17
% 27.83/28.17 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 27.83/28.18 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 27.83/28.18 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 27.83/28.18 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 27.83/28.18 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 27.83/28.18 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 27.83/28.18 class_Orderings_Opreorder(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 27.83/28.18 class_Orderings_Olinorder(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 27.83/28.18 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 27.83/28.18 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 27.83/28.18 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 27.83/28.18 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 27.83/28.18 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 27.83/28.18 class_Lattices_Olattice(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 27.83/28.18 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 27.83/28.18 class_Divides_Oring__div(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 27.83/28.18 class_Rings_Omult__zero(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 27.83/28.18 class_Orderings_Oorder(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 27.83/28.18 class_Int_Oring__char__0(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 27.83/28.18 class_Int_Onumber__ring(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 27.83/28.18 class_Rings_Osemiring(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 27.83/28.18 class_Orderings_Oord(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 27.83/28.18 class_Groups_Ouminus(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 27.83/28.18 class_Groups_Osgn__if(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 27.83/28.18 class_Groups_Oabs__if(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 27.83/28.18 class_Rings_Oring__1(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 27.83/28.18 class_Groups_Ominus(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Power_Opower,axiom,
% 27.83/28.18 class_Power_Opower(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 27.83/28.18 class_Groups_Ozero(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Rings_Oring,axiom,
% 27.83/28.18 class_Rings_Oring(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 27.83/28.18 class_Rings_Oidom(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Int_Onumber,axiom,
% 27.83/28.18 class_Int_Onumber(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Int__Oint__Groups_Oone,axiom,
% 27.83/28.18 class_Groups_Oone(tc_Int_Oint) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 27.83/28.18 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 27.83/28.18 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 27.83/28.18 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 27.83/28.18 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 27.83/28.18 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 27.83/28.18 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 27.83/28.18 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 27.83/28.18 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 27.83/28.18 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 27.83/28.18 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 27.83/28.18 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 27.83/28.18 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 27.83/28.18 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 27.83/28.18 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 27.83/28.18 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 27.83/28.18 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 27.83/28.18 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 27.83/28.18 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 27.83/28.18 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 27.83/28.18 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 27.83/28.18 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 27.83/28.18 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 27.83/28.18 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 27.83/28.18 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 27.83/28.18 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 27.83/28.18 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 27.83/28.18 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 27.83/28.18 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 27.83/28.18 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 27.83/28.18 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 27.83/28.18 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 27.83/28.18 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 27.83/28.18 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 27.83/28.18 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 27.83/28.18 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 27.83/28.18 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 27.83/28.18 class_Lattices_Olattice(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 27.83/28.18 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 27.83/28.18 class_Orderings_Oorder(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 27.83/28.18 class_Rings_Osemiring(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 27.83/28.18 class_Orderings_Oord(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 27.83/28.18 class_Orderings_Obot(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 27.83/28.18 class_Groups_Ominus(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Power_Opower,axiom,
% 27.83/28.18 class_Power_Opower(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 27.83/28.18 class_Groups_Ozero(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 27.83/28.18 class_Int_Onumber(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 27.83/28.18 class_Groups_Oone(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 27.83/28.18 class_Nat_Osize(tc_Nat_Onat) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 27.83/28.18 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 27.83/28.18 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 27.83/28.18 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 27.83/28.18 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 27.83/28.18 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 27.83/28.18 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 27.83/28.18 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 27.83/28.18 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 27.83/28.18 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 27.83/28.18 class_Lattices_Olattice(tc_HOL_Obool) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 27.83/28.18 class_Orderings_Oorder(tc_HOL_Obool) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 27.83/28.18 class_Orderings_Otop(tc_HOL_Obool) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 27.83/28.18 class_Orderings_Oord(tc_HOL_Obool) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 27.83/28.18 class_Orderings_Obot(tc_HOL_Obool) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 27.83/28.18 class_Groups_Ouminus(tc_HOL_Obool) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 27.83/28.18 class_Groups_Ominus(tc_HOL_Obool) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 27.83/28.18 class_Enum_Oenum(tc_HOL_Obool) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 27.83/28.18 class_Nat_Osize(tc_HOL_Obool) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Com__Ostate__Nat_Osize,axiom,
% 27.83/28.18 class_Nat_Osize(tc_Com_Ostate) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Com__Ovname__Nat_Osize,axiom,
% 27.83/28.18 class_Nat_Osize(tc_Com_Ovname) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom,
% 27.83/28.18 ! [T_1] :
% 27.83/28.18 ( class_Lazy__Sequence_Osmall__lazy(T_1)
% 27.83/28.18 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_List__Olist__Nat_Osize,axiom,
% 27.83/28.18 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 27.83/28.18 ! [T_1,T_2] :
% 27.83/28.18 ( ( class_Finite__Set_Ofinite(T_2)
% 27.83/28.18 & class_Finite__Set_Ofinite(T_1) )
% 27.83/28.18 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_sum__Enum_Oenum,axiom,
% 27.83/28.18 ! [T_1,T_2] :
% 27.83/28.18 ( ( class_Enum_Oenum(T_2)
% 27.83/28.18 & class_Enum_Oenum(T_1) )
% 27.83/28.18 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_sum__Nat_Osize,axiom,
% 27.83/28.18 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 27.83/28.18 ! [T_1] :
% 27.83/28.18 ( class_Finite__Set_Ofinite(T_1)
% 27.83/28.18 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 27.83/28.18 ! [T_1] :
% 27.83/28.18 ( class_Enum_Oenum(T_1)
% 27.83/28.18 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 27.83/28.18 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom,
% 27.83/28.18 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom,
% 27.83/28.18 ! [T_1,T_2] :
% 27.83/28.18 ( ( class_Lazy__Sequence_Osmall__lazy(T_2)
% 27.83/28.18 & class_Lazy__Sequence_Osmall__lazy(T_1) )
% 27.83/28.18 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 27.83/28.18 ! [T_1,T_2] :
% 27.83/28.18 ( ( class_Finite__Set_Ofinite(T_2)
% 27.83/28.18 & class_Finite__Set_Ofinite(T_1) )
% 27.83/28.18 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_prod__Enum_Oenum,axiom,
% 27.83/28.18 ! [T_1,T_2] :
% 27.83/28.18 ( ( class_Enum_Oenum(T_2)
% 27.83/28.18 & class_Enum_Oenum(T_1) )
% 27.83/28.18 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_prod__Nat_Osize,axiom,
% 27.83/28.18 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom,
% 27.83/28.18 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 27.83/28.18 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 27.83/28.18 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 27.83/28.18 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 27.83/28.18 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom,
% 27.83/28.18 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 27.83/28.18 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 27.83/28.18 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 27.83/28.18 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 27.83/28.18 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 27.83/28.18 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 27.83/28.18 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 27.83/28.18 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 27.83/28.18 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 27.83/28.18 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 27.83/28.18 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 27.83/28.18 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 27.83/28.18 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 27.83/28.18 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 27.83/28.18 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 27.83/28.18 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 27.83/28.18 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 27.83/28.18 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 27.83/28.18 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 27.83/28.18 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 27.83/28.18 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 27.83/28.18 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 27.83/28.18 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 27.83/28.18 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 27.83/28.18 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 27.83/28.18 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 27.83/28.18 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 27.83/28.18 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 27.83/28.18 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 27.83/28.18 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 27.83/28.18 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 27.83/28.18 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 27.83/28.18 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 27.83/28.18 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 27.83/28.18 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 27.83/28.18 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 27.83/28.18 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 27.83/28.18 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 27.83/28.18 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 27.83/28.18 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 27.83/28.18 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 27.83/28.18 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 27.83/28.18
% 27.83/28.18 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 27.83/28.18 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 27.83/28.18
% 27.83/28.18 %----Helper facts (20)
% 27.83/28.18 fof(help_c__COMBI__1,axiom,
% 27.83/28.18 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 27.83/28.18
% 27.83/28.18 fof(help_c__COMBK__1,axiom,
% 27.83/28.18 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 27.83/28.18
% 27.83/28.18 fof(help_c__COMBB__1,axiom,
% 27.83/28.18 ! [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)) ).
% 27.83/28.18
% 27.83/28.18 fof(help_c__COMBC__1,axiom,
% 27.83/28.18 ! [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) ).
% 27.83/28.18
% 27.83/28.18 fof(help_c__COMBS__1,axiom,
% 27.83/28.18 ! [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)) ).
% 27.83/28.18
% 27.83/28.18 fof(help_c__fequal__1,axiom,
% 27.83/28.18 ! [V_y_2,V_x_2] :
% 27.83/28.18 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 27.83/28.18 | V_x_2 = V_y_2 ) ).
% 27.83/28.18
% 27.83/28.18 fof(help_c__fequal__2,axiom,
% 27.83/28.18 ! [V_y_2,V_x_2] :
% 27.83/28.18 ( V_x_2 != V_y_2
% 27.83/28.18 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 27.83/28.18
% 27.83/28.18 fof(help_c__fFalse__1,axiom,
% 27.83/28.18 ~ hBOOL(c_fFalse) ).
% 27.83/28.18
% 27.83/28.18 fof(help_c__fTrue__1,axiom,
% 27.83/28.18 hBOOL(c_fTrue) ).
% 27.83/28.18
% 27.83/28.18 fof(help_c__fNot__1,axiom,
% 27.83/28.18 ! [V_Pa_2] :
% 27.83/28.18 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2))
% 27.83/28.18 | ~ hBOOL(V_Pa_2) ) ).
% 27.83/28.18
% 27.83/28.18 fof(help_c__fNot__2,axiom,
% 27.83/28.18 ! [V_Pa_2] :
% 27.83/28.18 ( ~ ~ hBOOL(V_Pa_2)
% 27.83/28.18 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ).
% 27.83/28.18
% 27.83/28.18 fof(help_c__fconj__1,axiom,
% 27.83/28.18 ! [V_Qa_2,V_Pa_2] :
% 27.83/28.18 ( ~ hBOOL(V_Pa_2)
% 27.83/28.18 | ~ hBOOL(V_Qa_2)
% 27.83/28.18 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) ) ).
% 27.83/28.18
% 27.83/28.18 fof(help_c__fconj__2,axiom,
% 27.83/28.18 ! [V_Qa_2,V_Pa_2] :
% 27.83/28.18 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2))
% 27.83/28.18 | hBOOL(V_Pa_2) ) ).
% 27.83/28.18
% 27.83/28.18 fof(help_c__fconj__3,axiom,
% 27.83/28.18 ! [V_Qa_2,V_Pa_2] :
% 27.83/28.18 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2))
% 27.83/28.18 | hBOOL(V_Qa_2) ) ).
% 27.83/28.18
% 27.83/28.18 fof(help_c__fdisj__1,axiom,
% 27.83/28.18 ! [V_Qa_2,V_Pa_2] :
% 27.83/28.18 ( ~ hBOOL(V_Pa_2)
% 27.83/28.18 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ).
% 27.83/28.18
% 27.83/28.18 fof(help_c__fdisj__2,axiom,
% 27.83/28.18 ! [V_Pa_2,V_Qa_2] :
% 27.83/28.18 ( ~ hBOOL(V_Qa_2)
% 27.83/28.18 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ).
% 27.83/28.18
% 27.83/28.18 fof(help_c__fdisj__3,axiom,
% 27.83/28.18 ! [V_Qa_2,V_Pa_2] :
% 27.83/28.18 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2))
% 27.83/28.18 | hBOOL(V_Pa_2)
% 27.83/28.18 | hBOOL(V_Qa_2) ) ).
% 27.83/28.18
% 27.83/28.18 fof(help_c__fimplies__1,axiom,
% 27.83/28.18 ! [V_Qa_2,V_Pa_2] :
% 27.83/28.18 ( hBOOL(V_Pa_2)
% 27.83/28.18 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ).
% 27.83/28.18
% 27.83/28.18 fof(help_c__fimplies__2,axiom,
% 27.83/28.18 ! [V_Pa_2,V_Qa_2] :
% 27.83/28.18 ( ~ hBOOL(V_Qa_2)
% 27.83/28.18 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ).
% 27.83/28.18
% 27.83/28.18 fof(help_c__fimplies__3,axiom,
% 27.83/28.18 ! [V_Qa_2,V_Pa_2] :
% 27.83/28.18 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2))
% 27.83/28.18 | ~ hBOOL(V_Pa_2)
% 27.83/28.18 | hBOOL(V_Qa_2) ) ).
% 27.83/28.18
% 27.83/28.18 %----Conjectures (2)
% 27.83/28.18 fof(conj_0,hypothesis,
% 27.83/28.18 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),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ).
% 27.83/28.18
% 27.83/28.18 fof(conj_1,conjecture,
% 27.83/28.18 c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),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),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ).
% 27.83/28.18
% 27.83/28.18 %------------------------------------------------------------------------------
% 27.83/28.18 %-------------------------------------------
% 27.83/28.18 % Proof found
% 27.83/28.18 % SZS status Theorem for theBenchmark
% 27.83/28.18 % SZS output start Proof
% 27.83/28.19 %ClaNum:10361(EqnAxiom:3013)
% 27.83/28.19 %VarNum:79701(SingletonVarNum:23720)
% 27.83/28.19 %MaxLitNum:8
% 27.83/28.19 %MaxfuncDepth:13
% 27.83/28.19 %SharedTerms:1025
% 27.83/28.19 %goalClause: 4695
% 27.83/28.19 %singleGoalClaCount:1
% 27.83/28.19 [3017]P1(a905)
% 27.83/28.19 [3018]P1(a911)
% 27.83/28.19 [3019]P107(a189)
% 27.83/28.19 [3020]P2(a911)
% 27.83/28.19 [3021]P2(a1)
% 27.83/28.19 [3022]P2(a103)
% 27.83/28.19 [3023]P108(a911)
% 27.83/28.19 [3024]P108(a1)
% 27.83/28.19 [3025]P108(a103)
% 27.83/28.19 [3026]P3(a911)
% 27.83/28.19 [3027]P3(a1)
% 27.83/28.19 [3028]P3(a103)
% 27.83/28.19 [3029]P4(a911)
% 27.83/28.19 [3030]P4(a1)
% 27.83/28.19 [3031]P4(a103)
% 27.83/28.19 [3032]P5(a911)
% 27.83/28.19 [3033]P5(a1)
% 27.83/28.19 [3034]P5(a103)
% 27.83/28.19 [3035]P87(a911)
% 27.83/28.19 [3036]P87(a1)
% 27.83/28.19 [3037]P87(a103)
% 27.83/28.19 [3038]P6(a911)
% 27.83/28.19 [3039]P6(a1)
% 27.83/28.19 [3040]P6(a103)
% 27.83/28.19 [3041]P109(a911)
% 27.83/28.19 [3042]P109(a1)
% 27.83/28.19 [3043]P109(a103)
% 27.83/28.19 [3044]P110(a905)
% 27.83/28.19 [3045]P110(a911)
% 27.83/28.19 [3046]P110(a1)
% 27.83/28.19 [3047]P110(a103)
% 27.83/28.19 [3048]P111(a905)
% 27.83/28.19 [3049]P111(a911)
% 27.83/28.19 [3050]P111(a1)
% 27.83/28.19 [3051]P111(a103)
% 27.83/28.19 [3052]P112(a905)
% 27.83/28.19 [3053]P112(a911)
% 27.83/28.19 [3054]P112(a1)
% 27.83/28.19 [3055]P112(a103)
% 27.83/28.19 [3056]P88(a911)
% 27.83/28.19 [3057]P88(a1)
% 27.83/28.19 [3058]P88(a103)
% 27.83/28.19 [3059]P75(a1)
% 27.83/28.19 [3060]P79(a911)
% 27.83/28.19 [3061]P79(a1)
% 27.83/28.19 [3062]P79(a103)
% 27.83/28.19 [3063]P76(a911)
% 27.83/28.19 [3064]P76(a1)
% 27.83/28.19 [3065]P76(a103)
% 27.83/28.19 [3066]P113(a1)
% 27.83/28.19 [3067]P125(a911)
% 27.83/28.19 [3068]P125(a1)
% 27.83/28.19 [3069]P125(a103)
% 27.83/28.19 [3070]P114(a911)
% 27.83/28.19 [3071]P114(a1)
% 27.83/28.19 [3072]P114(a103)
% 27.83/28.19 [3073]P145(a911)
% 27.83/28.19 [3074]P145(a1)
% 27.83/28.19 [3075]P92(a911)
% 27.83/28.19 [3076]P92(a1)
% 27.83/28.19 [3077]P92(a103)
% 27.83/28.19 [3078]P120(a1)
% 27.83/28.19 [3079]P128(a1)
% 27.83/28.19 [3080]P93(a1)
% 27.83/28.19 [3081]P140(a1)
% 27.83/28.19 [3082]P73(a911)
% 27.83/28.19 [3083]P73(a1)
% 27.83/28.19 [3084]P73(a103)
% 27.83/28.19 [3085]P77(a1)
% 27.83/28.19 [3086]P82(a1)
% 27.83/28.19 [3087]P7(a1)
% 27.83/28.19 [3088]P129(a911)
% 27.83/28.19 [3089]P129(a1)
% 27.83/28.19 [3090]P129(a103)
% 27.83/28.19 [3091]P141(a1)
% 27.83/28.19 [3092]P134(a911)
% 27.83/28.19 [3093]P134(a1)
% 27.83/28.19 [3094]P134(a103)
% 27.83/28.19 [3095]P115(a911)
% 27.83/28.19 [3096]P115(a1)
% 27.83/28.19 [3097]P115(a103)
% 27.83/28.19 [3098]P143(a911)
% 27.83/28.19 [3099]P143(a1)
% 27.83/28.19 [3100]P143(a103)
% 27.83/28.19 [3101]P126(a1)
% 27.83/28.19 [3102]P127(a1)
% 27.83/28.19 [3103]P130(a911)
% 27.83/28.19 [3104]P130(a1)
% 27.83/28.19 [3105]P130(a103)
% 27.83/28.19 [3106]P123(a911)
% 27.83/28.19 [3107]P123(a1)
% 27.83/28.19 [3108]P123(a103)
% 27.83/28.19 [3109]P83(a911)
% 27.83/28.19 [3110]P83(a1)
% 27.83/28.19 [3111]P83(a103)
% 27.83/28.19 [3112]P146(a911)
% 27.83/28.19 [3113]P146(a1)
% 27.83/28.19 [3114]P146(a103)
% 27.83/28.19 [3115]P84(a911)
% 27.83/28.19 [3116]P84(a1)
% 27.83/28.19 [3117]P84(a103)
% 27.83/28.19 [3118]P78(a911)
% 27.83/28.19 [3119]P78(a1)
% 27.83/28.19 [3120]P78(a103)
% 27.83/28.19 [3121]P85(a911)
% 27.83/28.19 [3122]P85(a1)
% 27.83/28.19 [3123]P85(a103)
% 27.83/28.19 [3124]P131(a1)
% 27.83/28.19 [3125]P133(a1)
% 27.83/28.19 [3126]P135(a911)
% 27.83/28.19 [3127]P135(a1)
% 27.83/28.19 [3128]P135(a103)
% 27.83/28.19 [3129]P136(a1)
% 27.83/28.19 [3130]P138(a911)
% 27.83/28.19 [3131]P138(a1)
% 27.83/28.19 [3132]P138(a103)
% 27.83/28.19 [3133]P137(a911)
% 27.83/28.19 [3134]P137(a1)
% 27.83/28.19 [3135]P137(a103)
% 27.83/28.19 [3136]P116(a1)
% 27.83/28.19 [3137]P142(a1)
% 27.83/28.19 [3138]P132(a911)
% 27.83/28.19 [3139]P132(a1)
% 27.83/28.19 [3140]P132(a103)
% 27.83/28.19 [3141]P96(a905)
% 27.83/28.19 [3142]P89(a1)
% 27.83/28.19 [3143]P8(a911)
% 27.83/28.19 [3144]P8(a1)
% 27.83/28.19 [3145]P8(a103)
% 27.83/28.19 [3146]P9(a1)
% 27.83/28.19 [3147]P91(a905)
% 27.83/28.19 [3148]P91(a1)
% 27.83/28.19 [3149]P80(a905)
% 27.83/28.19 [3150]P80(a911)
% 27.83/28.19 [3151]P80(a1)
% 27.83/28.19 [3152]P80(a103)
% 27.83/28.19 [3153]P94(a1)
% 27.83/28.19 [3154]P95(a911)
% 27.83/28.19 [3155]P95(a1)
% 27.83/28.19 [3156]P95(a103)
% 27.83/28.19 [3157]P86(a1)
% 27.83/28.19 [3158]P139(a1)
% 27.83/28.19 [3159]P74(a1)
% 27.83/28.19 [3160]P117(a911)
% 27.83/28.19 [3161]P117(a1)
% 27.83/28.19 [3162]P117(a103)
% 27.83/28.19 [3163]P144(a911)
% 27.83/28.19 [3164]P144(a1)
% 27.83/28.19 [3165]P144(a103)
% 27.83/28.19 [3166]P106(a905)
% 27.83/28.19 [3167]P106(a906)
% 27.83/28.19 [3168]P106(a911)
% 27.83/28.19 [3169]P106(a907)
% 27.83/28.19 [3170]P106(a103)
% 27.83/28.19 [3171]P106(a909)
% 27.83/28.19 [3172]P106(a914)
% 27.83/28.19 [3173]P106(a324)
% 27.83/28.19 [3174]P98(a905)
% 27.83/28.19 [3175]P100(a905)
% 27.83/28.19 [3176]P100(a911)
% 27.83/28.19 [3177]P100(a1)
% 27.83/28.19 [3178]P101(a905)
% 27.83/28.19 [3179]P101(a911)
% 27.83/28.19 [3180]P101(a1)
% 27.83/28.19 [3181]P67(a905)
% 27.83/28.19 [3182]P67(a914)
% 27.83/28.19 [3183]P104(a905)
% 27.83/28.19 [3184]P104(a911)
% 27.83/28.19 [3185]P104(a1)
% 27.83/28.19 [3186]P102(a905)
% 27.83/28.19 [3187]P102(a911)
% 27.83/28.19 [3188]P102(a1)
% 27.83/28.19 [3189]P10(a905)
% 27.83/28.19 [3190]P118(a905)
% 27.83/28.19 [3191]P103(a905)
% 27.83/28.19 [3192]P81(a911)
% 27.83/28.19 [3193]P81(a1)
% 27.83/28.19 [3194]P81(a103)
% 27.83/28.19 [3195]P119(a911)
% 27.83/28.19 [3196]P90(a911)
% 27.83/28.19 [3197]P90(a1)
% 27.83/28.19 [3198]P90(a103)
% 27.83/28.19 [3199]P68(a905)
% 27.83/28.19 [3200]P68(a914)
% 27.83/28.19 [3201]P105(a1)
% 27.83/28.19 [3202]P105(a914)
% 27.83/28.19 [3203]P99(a905)
% 27.83/28.19 [3219]P43(a911,a244)
% 27.83/28.19 [3220]P43(a911,a318)
% 27.83/28.19 [3221]P44(a911,a244)
% 27.83/28.19 [4569]~E(a101,a86)
% 27.83/28.19 [4570]~E(a101,a86)
% 27.83/28.19 [4571]~P107(a237)
% 27.83/28.19 [3014]E(f2(a1),a86)
% 27.83/28.19 [3015]E(f3(a103),a4)
% 27.83/28.19 [3016]E(f104(a103),a5)
% 27.83/28.19 [3204]E(f190(a911),f2(a911))
% 27.83/28.19 [3205]E(f32(a25),f2(a911))
% 27.83/28.19 [3206]E(f87(a189),f2(a911))
% 27.83/28.19 [3207]E(f87(a237),f2(a911))
% 27.83/28.19 [3208]E(f238(a911),f105(a911))
% 27.83/28.19 [3209]E(f243(a911),f106(a911))
% 27.83/28.19 [3210]E(f107(a1),f35(a1))
% 27.83/28.19 [3211]P11(f2(a1))
% 27.83/28.19 [3212]P11(f81(a1))
% 27.83/28.19 [3270]P43(f917(a911,a911),a36)
% 27.83/28.19 [3617]E(f320(a911,a911,a244,a244),a36)
% 27.83/28.19 [4572]~E(f81(a1),f2(a1))
% 27.83/28.19 [3213]E(f115(f2(a911)),f2(a911))
% 27.83/28.19 [3214]E(f6(f2(a103)),f2(a911))
% 27.83/28.19 [3223]E(f328(f82(a1),a86),a86)
% 27.83/28.19 [3226]E(f328(a109,f2(a1)),f2(a911))
% 27.83/28.19 [3227]E(f328(a5,f2(a911)),f2(a103))
% 27.83/28.19 [3228]E(f328(a116,f2(a911)),f81(a911))
% 27.83/28.19 [3229]E(f328(a109,f81(a1)),f81(a911))
% 27.83/28.19 [3230]E(f328(a5,f81(a911)),f81(a103))
% 27.83/28.19 [3231]E(f328(f108(a911),a86),f2(a911))
% 27.83/28.19 [3232]E(f328(f108(a1),a86),f2(a1))
% 27.83/28.19 [3233]E(f328(f108(a103),a86),f2(a103))
% 27.83/28.19 [3234]E(f328(a109,f2(a1)),f2(a911))
% 27.83/28.19 [3235]E(f328(f191(a905),a189),f2(a911))
% 27.83/28.19 [3236]E(f328(f191(a905),a237),f2(a911))
% 27.83/28.19 [3237]E(f328(f191(a906),a25),f2(a911))
% 27.83/28.19 [3238]E(f328(f108(a911),a86),f2(a911))
% 27.83/28.19 [3244]E(f328(f82(a1),f81(a1)),a101)
% 27.83/28.19 [3249]E(f328(f104(a1),f2(a911)),f2(a1))
% 27.83/28.19 [3250]E(f328(f104(a1),f81(a911)),f81(a1))
% 27.83/28.19 [3251]E(f328(f191(a911),f2(a911)),f2(a911))
% 27.83/28.19 [3252]E(f328(f191(a103),f2(a103)),f2(a911))
% 27.83/28.19 [3253]E(f328(f104(a1),f2(a911)),f2(a1))
% 27.83/28.19 [3254]E(f328(f104(a1),f81(a911)),f81(a1))
% 27.83/28.19 [3255]E(f328(f82(a1),f2(a1)),f2(a1))
% 27.83/28.19 [3266]E(f328(a109,f81(a1)),f328(a116,f2(a911)))
% 27.83/28.19 [3268]E(f319(f917(a911,a911),a36),a37)
% 27.83/28.19 [3269]E(f321(f917(a911,a911),a36),a72)
% 27.83/28.19 [3296]E(f328(f284(a911),f2(a911)),f190(f918(a911,a905)))
% 27.83/28.19 [3297]E(f328(f285(a911),f2(a911)),f246(f918(a911,a905)))
% 27.83/28.19 [3306]P46(f190(f918(a1,a905)))
% 27.83/28.19 [3340]E(f328(f328(f3(a103),f2(a103)),f81(a103)),f2(a103))
% 27.83/28.19 [3384]E(f328(f328(f156(a1,a911),a109),f117(a1)),f117(a911))
% 27.83/28.19 [3416]P107(f328(f328(f240(a1),a101),f2(a1)))
% 27.83/28.19 [3440]P107(f328(f328(f240(a1),f2(a1)),f81(a1)))
% 27.83/28.19 [3441]P107(f328(f328(f239(a1),f2(a1)),f2(a1)))
% 27.83/28.19 [3442]P107(f328(f328(f239(a1),f2(a1)),f81(a1)))
% 27.83/28.19 [3650]E(f328(f328(f290(a911,a911,a911),a318),f308(a911,a318)),a244)
% 27.83/28.19 [3688]P48(a1,a911,a109,f328(f239(a1),f2(a1)))
% 27.83/28.19 [3692]E(f328(f328(f42(a911,f918(a911,a905)),f246(f918(a911,a905))),f302(a911)),f246(f918(a911,a905)))
% 27.83/28.19 [3693]E(f328(f328(f42(a911,f918(a911,a905)),f246(f918(a911,a905))),f284(a911)),f246(f918(a911,a905)))
% 27.83/28.19 [3694]E(f328(f328(f42(a911,f918(a911,a905)),f246(f918(a911,a905))),f285(a911)),f246(f918(a911,a905)))
% 27.83/28.19 [3695]E(f328(f328(f43(a911,f918(a911,a905)),f246(f918(a911,a905))),f305(a911)),f190(f918(a911,a905)))
% 27.83/28.19 [3711]P30(a911,a1,f104(a1),f246(f918(a911,a905)))
% 27.83/28.19 [3725]P48(a911,a1,f104(a1),f328(f18(a905,a911),a189))
% 27.83/28.19 [3864]E(f328(f76(a911,a103,a1,a5),a109),f108(a103))
% 27.83/28.19 [4086]P63(a103,a911,a22,a5,f246(f918(a911,a905)))
% 27.83/28.19 [4092]P63(a1,f918(f917(a911,a911),a905),a111,a92,a102)
% 27.83/28.19 [4347]E(f262(a1,a1,a1,a1,f35(a1),f82(a1)),a54)
% 27.83/28.19 [4601]~E(f328(f108(a1),a101),f328(f108(a1),a86))
% 27.83/28.19 [4602]~P107(f328(a195,f2(a1)))
% 27.83/28.19 [4603]~P107(f328(a195,f81(a1)))
% 27.83/28.19 [4658]~P107(f328(f328(f240(a1),a86),f2(a1)))
% 27.83/28.19 [3287]E(f328(f328(f83(a1),a86),a101),a101)
% 27.83/28.19 [3288]E(f328(f328(f83(a1),a86),a86),a86)
% 27.83/28.19 [3289]E(f328(f328(f3(a1),a101),a101),a86)
% 27.83/28.19 [3304]E(f328(f104(a1),f328(a116,f2(a911))),f81(a1))
% 27.83/28.19 [3369]E(f328(f38(a914),f246(f918(a914,a905))),f81(a911))
% 27.83/28.19 [3389]P107(f328(a195,f328(f108(a1),a101)))
% 27.83/28.19 [3390]P107(f328(f328(f240(a1),a101),a86))
% 27.83/28.19 [3391]P107(f328(f328(f239(a1),a101),a101))
% 27.83/28.19 [3392]P107(f328(f328(f239(a1),a101),a86))
% 27.83/28.19 [3393]P107(f328(f328(f239(a1),a86),a86))
% 27.83/28.19 [3452]E(f328(f328(f310(a911),f2(a911)),f190(f918(a911,a905))),f328(f302(a911),f2(a911)))
% 27.83/28.19 [3508]P107(f328(f328(f239(a1),f2(a1)),f328(f108(a1),a86)))
% 27.83/28.19 [3520]E(f328(f311(a911,a911,a116),f246(f918(a911,a905))),f328(f305(a911),f2(a911)))
% 27.83/28.19 [3526]E(f328(f311(a1,a911,a109),f190(f918(a1,a905))),f190(f918(a911,a905)))
% 27.83/28.19 [3535]E(f328(f311(a911,a1,f104(a1)),f190(f918(a911,a905))),f190(f918(a1,a905)))
% 27.83/28.19 [3557]P13(f917(a911,a911),f246(f918(f917(a911,a911),a905)),a113)
% 27.83/28.19 [3871]E(f328(f76(a911,a1,a103,f104(a1)),a22),a24)
% 27.83/28.19 [3932]P43(a911,f328(f266(f917(a911,a911)),f328(f261(a911,a911,a905),f240(a911))))
% 27.83/28.19 [4649]~P107(f328(a195,f328(f108(a1),a86)))
% 27.83/28.19 [4650]~P107(f328(f328(f240(a1),a101),a101))
% 27.83/28.19 [4651]~P107(f328(f328(f240(a1),a86),a101))
% 27.83/28.19 [4652]~P107(f328(f328(f240(a1),a86),a86))
% 27.83/28.19 [4653]~P107(f328(f328(f239(a1),a86),a101))
% 27.83/28.19 [4668]~P107(f328(f64(a911),f246(f918(a911,a905))))
% 27.83/28.19 [4669]~P107(f328(f64(a1),f246(f918(a1,a905))))
% 27.83/28.19 [4235]P29(a904,a920,f328(f328(f310(f910(a904)),f328(f328(f328(f94(a904),a921),f328(f236(a906),f328(a28,a922))),a923)),f190(f918(f910(a904),a905))))
% 27.83/28.19 [4513]E(f328(f261(a1,a1,a905),f328(f328(f10(f918(a1,a905),f918(a1,a905),a1),f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a326),f328(f240(a1),f2(a1))))),f328(f328(f9(a1,a1,f918(a1,a905)),f328(f328(f10(f918(a1,f918(a1,a905)),f918(a1,f918(a1,a905)),a1),f9(a1,a1,a905)),f328(f328(f10(f918(a1,a1),f918(a1,f918(a1,a905)),a1),f328(f10(a1,f918(a1,a905),a1),a325)),a221))),f81(a1)))),a217)
% 27.83/28.19 [3560]E(f328(f328(f3(a1),f328(f328(f83(a1),a101),a101)),a101),a101)
% 27.83/28.19 [3592]E(f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101),f328(f82(a1),a101))
% 27.83/28.19 [3632]E(f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101),f328(f328(f3(a1),a86),a101))
% 27.83/28.19 [3795]E(f328(f328(f63(f917(a911,a911)),f246(f918(f917(a911,a911),a905))),a113),a102)
% 27.83/28.19 [4695]~P29(a904,f328(f328(f310(f910(a904)),f328(f328(f328(f94(a904),a921),f328(a26,a922)),a923)),a920),f328(f328(f310(f910(a904)),f328(f328(f328(f94(a904),a921),f328(f236(a906),f328(a28,a922))),a923)),f190(f918(f910(a904),a905))))
% 27.83/28.19 [3823]E(f328(f108(a911),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f81(a911))
% 27.83/28.19 [3824]E(f328(f108(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f81(a1))
% 27.83/28.19 [3825]E(f328(f108(a103),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f81(a103))
% 27.83/28.19 [3826]E(f328(f108(a911),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f81(a911))
% 27.83/28.19 [3830]E(f328(f108(a911),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(a116,f2(a911)))
% 27.83/28.19 [4214]E(f328(f328(f105(f918(f917(f917(a911,a911),f917(a911,a911)),a905)),a36),f308(f917(a911,a911),f190(f918(f917(f917(a911,a911),f917(a911,a911)),a905)))),a74)
% 27.83/28.19 [4281]E(f328(a92,f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),f328(f328(f256(a911,a911),f2(a911)),f2(a911))),f190(f918(f917(a911,a911),a905))))),f2(a1))
% 27.83/28.19 [4282]E(f328(a92,f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),f328(f328(f256(a911,a911),f81(a911)),f2(a911))),f190(f918(f917(a911,a911),a905))))),f81(a1))
% 27.83/28.19 [4295]E(f328(f266(f917(a911,a911)),f328(f261(a911,a911,a905),f328(f328(f10(a911,f918(a911,a905),a911),f328(f9(a911,a911,a905),a325)),a116))),a318)
% 27.83/28.19 [4266]E(f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))),f328(a116,f328(a116,f2(a911))))
% 27.83/28.19 [4267]E(f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))),f328(a116,f328(a116,f2(a911))))
% 27.83/28.19 [4270]E(f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))),f328(f328(f83(a911),f81(a911)),f81(a911)))
% 27.83/28.19 [4271]E(f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))),f328(f38(a905),f246(f918(a905,a905))))
% 27.83/28.19 [4334]P11(f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))
% 27.83/28.19 [4403]P32(f918(f917(a911,a911),a905),f328(f328(f256(f918(f917(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905)),a905),f918(f917(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905)),a905)),a37),a73))
% 27.83/28.19 [4404]P32(f918(f917(a911,a911),a905),f328(f328(f256(f918(f917(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905)),a905),f918(f917(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905)),a905)),a72),a75))
% 27.83/28.19 [4444]E(f328(f328(f105(f918(f917(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905)),a905)),f321(f917(a911,a911),a74)),f328(f328(f310(f917(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905))),f328(f328(f256(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905)),f190(f918(f917(a911,a911),a905))),f190(f918(f917(a911,a911),a905)))),f190(f918(f917(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905)),a905)))),a75)
% 27.83/28.19 [4445]E(f328(f328(f105(f918(f917(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905)),a905)),f319(f917(a911,a911),a74)),f328(f328(f310(f917(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905))),f328(f328(f256(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905)),f190(f918(f917(a911,a911),a905))),f190(f918(f917(a911,a911),a905)))),f190(f918(f917(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905)),a905)))),a73)
% 27.83/28.19 [4336]E(f328(a109,f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f328(a116,f328(a116,f2(a911))))
% 27.83/28.19 [4380]E(f328(a109,f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))
% 27.83/28.19 [4381]E(f328(f104(a1),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))
% 27.83/28.19 [4414]P107(f328(f328(f239(a1),f2(a1)),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))
% 27.83/28.19 [4415]E(f328(f108(a911),f328(f328(f3(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))),a101)),f328(a116,f328(a116,f328(a116,f2(a911)))))
% 27.83/28.19 [4459]P11(f328(f108(a1),f328(f328(f3(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))),a101)))
% 27.83/28.19 [4484]E(f328(a109,f328(f108(a1),f328(f328(f3(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))),a101))),f328(f108(a911),f328(f328(f3(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))),a101)))
% 27.83/28.19 [4485]E(f328(f104(a1),f328(f108(a911),f328(f328(f3(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))),a101))),f328(f108(a1),f328(f328(f3(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))),a101)))
% 27.83/28.19 [4498]P107(f328(f328(f239(a1),f2(a1)),f328(f108(a1),f328(f328(f3(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))),a101))))
% 27.83/28.19 [3222]P12(x32221,a325)
% 27.83/28.19 [3618]P30(a911,a911,a116,x36181)
% 27.83/28.19 [3215]P106(f910(x32151))
% 27.83/28.19 [3216]P106(f915(x32161))
% 27.83/28.19 [3217]P106(f912(x32171))
% 27.83/28.19 [3218]P106(f913(x32181))
% 27.83/28.19 [3239]P43(a1,f110(x32391))
% 27.83/28.19 [3240]P43(a1,f112(x32401))
% 27.83/28.19 [3292]P43(f918(x32921,a905),f315(x32921))
% 27.83/28.19 [3293]P44(f918(x32931,a905),f315(x32931))
% 27.83/28.19 [3318]E(f247(x33181,x33181,a325),a325)
% 27.83/28.19 [3333]E(f48(a1,x33331,x33331),f2(a1))
% 27.83/28.19 [3386]P19(x33861,f918(x33861,a905),f310(x33861))
% 27.83/28.19 [4573]~E(f328(a26,x45731),a25)
% 27.83/28.19 [4574]~E(f328(a26,x45741),a25)
% 27.83/28.19 [4575]~E(f328(a116,x45751),x45751)
% 27.83/28.19 [4576]~E(f328(a116,x45761),x45761)
% 27.83/28.19 [4583]~E(f328(a116,x45831),f2(a911))
% 27.83/28.19 [4584]~E(f328(a116,x45841),f2(a911))
% 27.83/28.19 [4585]~E(f328(a116,x45851),f2(a911))
% 27.83/28.19 [4586]~E(f328(a116,x45861),f2(a911))
% 27.83/28.19 [4587]~E(f328(a116,x45871),f2(a911))
% 27.83/28.19 [4588]~E(f328(a116,x45881),f2(a911))
% 27.83/28.19 [3224]E(f328(f191(a911),x32241),x32241)
% 27.83/28.19 [3225]E(f328(f108(a1),x32251),x32251)
% 27.83/28.19 [3241]E(f328(a92,f329(x32411)),x32411)
% 27.83/28.19 [3242]E(f328(a5,f687(x32421)),x32421)
% 27.83/28.19 [3243]E(f245(x32431,f2(a103)),f2(a103))
% 27.83/28.19 [3256]E(f118(x32561,f117(x32561)),f117(x32561))
% 27.83/28.19 [3257]E(f154(x32571,f117(x32571)),f117(x32571))
% 27.83/28.19 [3259]E(f32(f328(a26,x32591)),f2(a911))
% 27.83/28.19 [3263]E(f328(f169(x32631),f117(x32631)),f117(x32631))
% 27.83/28.19 [3264]E(f328(f173(x32641),f117(x32641)),f117(x32641))
% 27.83/28.19 [3265]E(f328(f170(x32651),f117(x32651)),f117(x32651))
% 27.83/28.19 [3271]E(f328(f108(a1),x32711),f328(f107(a1),x32711))
% 27.83/28.19 [3272]E(f328(a92,f328(a111,x32721)),x32721)
% 27.83/28.19 [3273]E(f328(a5,f328(a22,x32731)),x32731)
% 27.83/28.19 [3274]E(f328(a5,f328(a22,x32741)),x32741)
% 27.83/28.19 [3275]E(f328(a22,f328(a5,x32751)),x32751)
% 27.83/28.19 [3276]P11(f328(f104(a1),x32761))
% 27.83/28.19 [3285]E(f328(f191(f912(x32851)),f117(x32851)),f2(a911))
% 27.83/28.19 [3286]E(f328(f191(f913(x32861)),f123(x32861)),f2(a911))
% 27.83/28.19 [3291]E(f328(f191(a906),f328(a26,x32911)),f2(a911))
% 27.83/28.19 [3309]E(f328(f328(f83(a911),x33091),f2(a911)),x33091)
% 27.83/28.19 [3310]E(f328(f328(f83(a1),x33101),f2(a1)),x33101)
% 27.83/28.19 [3311]E(f328(f328(f84(a911),x33111),f81(a911)),x33111)
% 27.83/28.19 [3312]E(f328(f328(f84(a1),x33121),f81(a1)),x33121)
% 27.83/28.19 [3313]E(f328(f328(f3(a911),x33131),f2(a911)),x33131)
% 27.83/28.19 [3314]E(f328(f328(f238(a911),x33141),f2(a911)),x33141)
% 27.83/28.19 [3315]E(f328(f328(f84(a911),x33151),f2(a911)),f2(a911))
% 27.83/28.19 [3316]E(f328(f328(f39(a1),x33161),f2(a1)),f2(a1))
% 27.83/28.19 [3317]E(f328(f328(f243(a911),x33171),f2(a911)),f2(a911))
% 27.83/28.19 [3324]E(f328(f174(x33241),f117(x33241)),f190(f918(x33241,a905)))
% 27.83/28.19 [3328]P107(f328(f139(x33281),f117(x33281)))
% 27.83/28.19 [3334]E(f328(f156(x33341,x33341),f7(x33341)),f35(f912(x33341)))
% 27.83/28.19 [3335]E(f328(f156(x33351,x33351),f35(x33351)),f35(f912(x33351)))
% 27.83/28.19 [3336]E(f48(a1,x33361,f2(a1)),x33361)
% 27.83/28.19 [3337]E(f328(f239(a911),f328(a116,x33371)),f328(f240(a911),x33371))
% 27.83/28.19 [3338]E(f328(f284(a911),f328(a116,x33381)),f328(f302(a911),x33381))
% 27.83/28.19 [3339]E(f328(f285(a911),f328(a116,x33391)),f328(f305(a911),x33391))
% 27.83/28.19 [3341]E(f48(a1,f2(a1),x33411),f2(a1))
% 27.83/28.19 [3354]E(f328(f328(f83(a911),x33541),f81(a911)),f328(a116,x33541))
% 27.83/28.19 [3363]E(f328(f303(a911,x33631),f2(a911)),f190(f918(a911,a905)))
% 27.83/28.19 [3375]E(f304(a911,f2(a911),x33751),f328(f302(a911),x33751))
% 27.83/28.19 [3419]E(f328(f328(f3(a911),f328(a116,x34191)),f81(a911)),x34191)
% 27.83/28.19 [3431]E(f50(f2(a1),x34311),f328(f328(f256(a1,a1),f2(a1)),f2(a1)))
% 27.83/28.19 [3435]E(f328(f328(f83(a911),f328(a22,x34351)),f2(a911)),f328(a22,x34351))
% 27.83/28.19 [3483]P107(f328(f328(f240(a911),x34831),f328(a116,x34831)))
% 27.83/28.19 [3495]P107(f328(f328(f240(a911),f2(a911)),f328(a116,x34951)))
% 27.83/28.19 [3506]E(f328(f328(f185(f912(x35061),f912(x35061)),f2(a911)),f169(x35061)),f35(f912(x35061)))
% 27.83/28.19 [3724]E(f95(x37241,x37241,f246(f918(x37241,a905)),f35(x37241)),f35(x37241))
% 27.83/28.19 [3781]E(f328(f328(f3(a103),f328(a5,f328(a116,f328(a22,x37811)))),f81(a103)),x37811)
% 27.83/28.19 [3853]P107(f328(f328(f239(a1),f328(f82(a1),f328(f104(a1),x38531))),f2(a1)))
% 27.83/28.19 [4003]P107(f328(f328(f240(a1),f328(f82(a1),f328(f104(a1),f328(a116,x40031)))),f2(a1)))
% 27.83/28.19 [4100]P31(x41001,x41001,f35(x41001),f246(f918(x41001,a905)),f246(f918(x41001,a905)))
% 27.83/28.19 [4608]~E(f246(f918(x46081,a905)),f190(f918(x46081,a905)))
% 27.83/28.19 [4659]~P107(f328(f328(f240(a911),x46591),f2(a911)))
% 27.83/28.19 [4660]~P107(f328(f328(f240(a911),x46601),f2(a911)))
% 27.83/28.19 [4661]~P107(f328(f328(f240(a911),x46611),f2(a911)))
% 27.83/28.19 [4678]~P107(f328(f328(f240(a1),f328(f104(a1),x46781)),f2(a1)))
% 27.83/28.19 [3290]E(f181(x32901,f117(f912(x32901))),f117(f912(x32901)))
% 27.83/28.19 [3294]E(f328(f328(f84(a1),a86),x32941),a86)
% 27.83/28.19 [3295]E(f328(f328(f83(a1),a86),x32951),x32951)
% 27.83/28.19 [3298]E(f328(a109,f328(f104(a1),x32981)),x32981)
% 27.83/28.19 [3299]E(f328(f328(f83(a1),x32991),a86),x32991)
% 27.83/28.19 [3300]E(f328(f328(f3(a1),x33001),a86),x33001)
% 27.83/28.19 [3303]E(f328(f328(f3(a911),x33031),x33031),f2(a911))
% 27.83/28.19 [3307]E(f328(f82(a1),f328(f82(a1),x33071)),x33071)
% 27.83/28.19 [3308]E(f328(f38(a911),f328(f284(a911),x33081)),x33081)
% 27.83/28.19 [3319]E(f328(f328(f83(a911),f2(a911)),x33191),x33191)
% 27.83/28.19 [3320]E(f328(f328(f83(a1),f2(a1)),x33201),x33201)
% 27.83/28.19 [3321]E(f328(f328(f84(a911),f81(a911)),x33211),x33211)
% 27.83/28.19 [3322]E(f328(f328(f84(a1),f81(a1)),x33221),x33221)
% 27.83/28.19 [3323]E(f328(f328(f238(a911),f2(a911)),x33231),x33231)
% 27.83/28.19 [3329]E(f328(f328(f84(a911),f2(a911)),x33291),f2(a911))
% 27.83/28.19 [3330]E(f328(f328(f39(a1),f2(a1)),x33301),f2(a1))
% 27.83/28.19 [3331]E(f328(f328(f3(a911),f2(a911)),x33311),f2(a911))
% 27.83/28.19 [3332]E(f328(f328(f243(a911),f2(a911)),x33321),f2(a911))
% 27.83/28.19 [3342]E(f131(x33421,f328(f82(a1),x33421)),f134(a1,x33421))
% 27.83/28.19 [3347]E(f328(f303(a911,f2(a911)),x33471),f328(f284(a911),x33471))
% 27.83/28.19 [3348]E(f328(f328(f84(a1),a101),x33481),f328(f82(a1),x33481))
% 27.83/28.19 [3355]E(f328(a109,f328(f108(a1),x33551)),f328(f108(a911),x33551))
% 27.83/28.19 [3356]E(f328(a109,f328(f108(a1),x33561)),f328(f108(a911),x33561))
% 27.83/28.19 [3357]E(f328(a22,f328(f108(a103),x33571)),f328(f108(a911),x33571))
% 27.83/28.19 [3358]E(f328(f38(a911),f328(f302(a911),x33581)),f328(a116,x33581))
% 27.83/28.19 [3367]E(f328(f328(f83(a911),f81(a911)),x33671),f328(a116,x33671))
% 27.83/28.19 [3371]E(f328(f107(a1),f328(f104(a1),x33711)),f328(f104(a1),x33711))
% 27.83/28.19 [3372]E(f328(f79(a1),f328(f104(a1),x33721)),f328(f104(a1),x33721))
% 27.83/28.19 [3376]E(f328(f38(x33761),f190(f918(x33761,a905))),f2(a911))
% 27.83/28.19 [3378]E(f328(f328(f39(a911),x33781),f328(a116,f2(a911))),x33781)
% 27.83/28.19 [3387]E(f48(a911,x33871,f328(a116,f2(a911))),f2(a911))
% 27.83/28.19 [3388]E(f48(a1,x33881,f328(f108(a1),a101)),f2(a1))
% 27.83/28.19 [3395]E(f328(f328(f83(a1),a101),x33951),f328(f328(f83(a1),x33951),a101))
% 27.83/28.19 [3402]E(f328(f328(f39(a1),x34021),f328(f108(a1),a101)),f328(f82(a1),x34021))
% 27.83/28.19 [3406]E(f141(a911,f328(f303(a911,x34061),f2(a911))),f117(a911))
% 27.83/28.19 [3407]E(f328(f328(f3(a1),x34071),f81(a1)),f328(f328(f83(a1),x34071),a101))
% 27.83/28.19 [3408]E(f328(f328(f83(a1),x34081),f81(a1)),f328(f328(f3(a1),x34081),a101))
% 27.83/28.19 [3412]P107(f328(f328(f196(a25),x34121),x34121))
% 27.83/28.19 [3413]P107(f328(f328(f196(a25),x34131),x34131))
% 27.83/28.19 [3414]P107(f328(f328(f239(a911),x34141),x34141))
% 27.83/28.19 [3415]P107(f328(f328(f239(a1),x34151),x34151))
% 27.83/28.19 [3420]E(f328(f82(a1),f328(f108(a1),x34201)),f328(f108(a1),f328(f82(a1),x34201)))
% 27.83/28.19 [3421]P107(f328(f64(a911),f328(f302(a911),x34211)))
% 27.83/28.19 [3422]P107(f328(f64(a911),f328(f284(a911),x34221)))
% 27.83/28.19 [3429]E(f163(x34291,f246(f918(x34291,a905))),f246(f918(f912(x34291),a905)))
% 27.83/28.19 [3433]P107(f328(f328(f239(a911),f2(a911)),x34331))
% 27.83/28.19 [3434]P107(f328(f328(f239(a911),f2(a911)),x34341))
% 27.83/28.19 [3445]E(f328(f328(f83(a911),f115(x34451)),f328(a116,f2(a911))),f115(f328(a116,x34451)))
% 27.83/28.19 [3446]E(f328(f266(x34461),f328(f18(a905,x34461),a237)),f190(f918(x34461,a905)))
% 27.83/28.19 [3447]E(f328(f266(x34471),f328(f18(a905,x34471),a189)),f246(f918(x34471,a905)))
% 27.83/28.19 [3451]E(f328(f328(f310(a911),x34511),f328(f284(a911),x34511)),f328(f284(a911),f328(a116,x34511)))
% 27.83/28.19 [3463]E(f328(f328(f83(a1),f81(a1)),f328(f104(a1),x34631)),f328(f104(a1),f328(a116,x34631)))
% 27.83/28.19 [3466]E(f328(f328(f153(f912(x34661)),f117(x34661)),f117(f912(x34661))),f57(x34661,f117(x34661)))
% 27.83/28.19 [3486]E(f190(f918(f917(x34861,x34861),a905)),f267(x34861,f190(f918(x34861,a905))))
% 27.83/28.19 [3487]E(f328(f309(x34871),f246(f918(x34871,a905))),f246(f918(f918(x34871,a905),a905)))
% 27.83/28.19 [3488]E(f328(f82(f918(x34881,a905)),f190(f918(x34881,a905))),f246(f918(x34881,a905)))
% 27.83/28.19 [3489]E(f328(f82(f918(x34891,a905)),f246(f918(x34891,a905))),f190(f918(x34891,a905)))
% 27.83/28.19 [3490]P107(f328(f64(x34901),f190(f918(x34901,a905))))
% 27.83/28.19 [3491]P107(f328(f64(x34911),f190(f918(x34911,a905))))
% 27.83/28.19 [3493]E(f328(f303(a911,x34931),f328(a116,x34931)),f328(f328(f310(a911),x34931),f190(f918(a911,a905))))
% 27.83/28.19 [3494]E(f88(f917(a911,a911),f51(x34941,f2(a911))),f328(f328(f256(a911,a911),f2(a911)),x34941))
% 27.83/28.19 [3507]E(f328(f328(f310(a911),f328(a116,x35071)),f328(f302(a911),x35071)),f328(f302(a911),f328(a116,x35071)))
% 27.83/28.19 [3511]P43(x35111,f190(f918(f917(x35111,x35111),a905)))
% 27.83/28.19 [3512]P45(x35121,f190(f918(f917(x35121,x35121),a905)))
% 27.83/28.19 [3514]P107(f328(f328(f239(a1),f2(a1)),f328(f104(a1),x35141)))
% 27.83/28.19 [3515]P107(f328(f328(f239(a1),f2(a1)),f328(f104(a1),x35151)))
% 27.83/28.19 [3522]E(f328(f328(f83(a911),f328(f191(a911),x35221)),f328(a116,f2(a911))),f328(f191(a911),f328(a116,x35221)))
% 27.83/28.19 [3569]P107(f328(f328(f330(a911),f687(x35691)),f246(f918(a911,a905))))
% 27.83/28.19 [3571]E(f328(f311(x35711,x35711,f35(x35711)),f246(f918(x35711,a905))),f246(f918(x35711,a905)))
% 27.83/28.19 [3625]P46(f328(f311(a911,a1,f104(a1)),x36251))
% 27.83/28.19 [3664]P59(x36641,f190(f918(x36641,a905)),f190(f918(f917(x36641,x36641),a905)))
% 27.83/28.19 [3684]E(f328(f328(f256(a1,a1),f328(f108(a1),a101)),f328(f328(f3(a1),x36841),f81(a1))),f53(f328(f108(a1),a101),x36841))
% 27.83/28.19 [3685]P107(f328(f328(f330(a911),f328(a22,x36851)),f246(f918(a911,a905))))
% 27.83/28.19 [3737]P66(x37371,f328(f18(f918(x37371,a905),x37371),f328(f18(a905,x37371),a237)))
% 27.83/28.19 [3926]E(f328(f144(f912(x39261),f912(x39261),f136(x39261),f117(x39261)),f117(f912(x39261))),f117(x39261))
% 27.83/28.19 [3944]P107(f328(f328(f330(f918(f917(a911,a911),a905)),f329(x39441)),a102))
% 27.83/28.19 [3969]P107(f328(f328(f330(f918(f917(a911,a911),a905)),f328(a111,x39691)),a102))
% 27.83/28.19 [4101]P30(x41011,f918(x41011,a905),f328(f328(f9(x41011,f918(x41011,a905),f918(x41011,a905)),f310(x41011)),f190(f918(x41011,a905))),f246(f918(x41011,a905)))
% 27.83/28.19 [4604]~E(f328(f328(f83(a1),x46041),x46041),a101)
% 27.83/28.19 [4605]~E(f328(f328(f83(a1),x46051),x46051),a101)
% 27.83/28.19 [4647]~E(f328(a5,f328(a116,f328(a22,x46471))),f2(a103))
% 27.83/28.19 [4648]~E(f328(a5,f328(a116,f328(a22,x46481))),f2(a103))
% 27.83/28.19 [4654]~P107(f328(a195,f328(f104(a1),x46541)))
% 27.83/28.19 [4656]~P107(f328(f328(f240(a911),x46561),x46561))
% 27.83/28.19 [4657]~P107(f328(f328(f240(a911),x46571),x46571))
% 27.83/28.19 [4671]~P107(f328(f328(f239(a911),f328(a116,x46711)),x46711))
% 27.83/28.19 [3436]E(f328(a109,f328(f82(a1),f328(f104(a1),x34361))),f2(a911))
% 27.83/28.19 [3439]E(f328(f328(f83(a1),f328(f82(a1),x34391)),x34391),f2(a1))
% 27.83/28.19 [3444]E(f328(f38(a1),f328(f303(a1,f2(a1)),x34441)),f328(a109,x34441))
% 27.83/28.19 [3456]E(f328(f328(f248(a911),f328(a116,f2(a911))),x34561),f328(a116,f2(a911)))
% 27.83/28.19 [3554]E(f328(f283(x35541),f190(f918(f917(x35541,x35541),a905))),f190(f918(x35541,a905)))
% 27.83/28.19 [3556]P107(f328(f64(a1),f328(f303(a1,f2(a1)),x35561)))
% 27.83/28.19 [3562]E(f40(f918(x35621,a905),f190(f918(f918(x35621,a905),a905))),f190(f918(x35621,a905)))
% 27.83/28.19 [3563]E(f40(f918(x35631,a905),f246(f918(f918(x35631,a905),a905))),f246(f918(x35631,a905)))
% 27.83/28.19 [3564]E(f41(f918(x35641,a905),f190(f918(f918(x35641,a905),a905))),f246(f918(x35641,a905)))
% 27.83/28.19 [3565]E(f41(f918(x35651,a905),f246(f918(f918(x35651,a905),a905))),f190(f918(x35651,a905)))
% 27.83/28.19 [3608]E(f328(f328(f310(f912(x36081)),f117(x36081)),f190(f918(f912(x36081),a905))),f164(x36081,f117(f918(x36081,a905))))
% 27.83/28.19 [3609]E(f328(f328(f310(f912(x36091)),f117(x36091)),f190(f918(f912(x36091),a905))),f163(x36091,f190(f918(x36091,a905))))
% 27.83/28.19 [3638]E(f328(f328(f83(a1),f328(f82(a1),x36381)),f328(f82(a1),x36381)),f328(f82(a1),f328(f328(f83(a1),x36381),x36381)))
% 27.83/28.19 [3649]E(f328(f328(f83(a911),f6(x36491)),f328(a116,f2(a911))),f6(f328(a5,f328(a116,f328(a22,x36491)))))
% 27.83/28.19 [3675]E(f328(f38(a1),f328(f311(a911,a1,f104(a1)),x36751)),f328(f38(a911),x36751))
% 27.83/28.19 [3678]P107(f328(f328(f239(a911),x36781),f328(f328(f84(a911),x36781),x36781)))
% 27.83/28.19 [3715]E(f328(f311(a1,a911,a109),f304(a1,f2(a1),f328(f104(a1),x37151))),f328(f302(a911),x37151))
% 27.83/28.19 [3732]E(f328(f328(f39(a911),f328(a116,f2(a911))),f328(f108(a911),x37321)),f328(a109,f328(f328(f39(a1),f81(a1)),f328(f108(a1),x37321))))
% 27.83/28.19 [3734]E(f328(f174(a911),f141(a911,f328(f303(a911,f2(a911)),f328(a116,x37341)))),f328(f302(a911),x37341))
% 27.83/28.19 [3735]E(f328(f328(f83(a911),f328(f191(a103),x37351)),f328(a116,f2(a911))),f328(f191(a103),f328(a5,f328(a116,f328(a22,x37351)))))
% 27.83/28.19 [3753]P44(x37531,f308(x37531,f190(f918(f917(x37531,x37531),a905))))
% 27.83/28.19 [3754]P45(x37541,f308(x37541,f190(f918(f917(x37541,x37541),a905))))
% 27.83/28.19 [3755]P58(x37551,f308(x37551,f190(f918(f917(x37551,x37551),a905))))
% 27.83/28.19 [3756]E(f328(f311(a1,a911,a109),f328(f311(a911,a1,f104(a1)),x37561)),x37561)
% 27.83/28.19 [3787]E(f328(f328(f310(a911),f2(a911)),f328(f311(a911,a911,a116),f328(f284(a911),x37871))),f328(f284(a911),f328(a116,x37871)))
% 27.83/28.19 [3794]P61(x37941,x37941,f308(x37941,f190(f918(f917(x37941,x37941),a905))))
% 27.83/28.19 [3800]P107(f328(a195,f328(f82(a1),f328(f104(a1),f328(a116,x38001)))))
% 27.83/28.19 [3810]E(f328(f328(f3(f918(a911,a905)),f328(f285(a911),x38101)),f328(f328(f310(a911),x38101),f190(f918(a911,a905)))),f328(f285(a911),f328(a116,x38101)))
% 27.83/28.19 [3827]E(f328(f328(f83(a1),f328(f328(f3(a1),a86),x38271)),f328(f328(f3(a1),a86),x38271)),f328(f328(f3(a1),a86),f328(f328(f83(a1),x38271),x38271)))
% 27.83/28.19 [3831]P59(x38311,f246(f918(x38311,a905)),f308(x38311,f190(f918(f917(x38311,x38311),a905))))
% 27.83/28.19 [3842]E(f328(f328(f310(f918(x38421,a905)),f190(f918(x38421,a905))),f190(f918(f918(x38421,a905),a905))),f328(f309(x38421),f190(f918(x38421,a905))))
% 27.83/28.19 [3872]E(f328(f328(f3(f918(a911,a905)),f328(f305(a911),x38721)),f328(f328(f310(a911),f328(a116,x38721)),f190(f918(a911,a905)))),f328(f305(a911),f328(a116,x38721)))
% 27.83/28.19 [3981]E(f328(f108(a911),f328(f328(f83(a1),x39811),x39811)),f328(f328(f89(a911,a911),f328(f108(a911),x39811)),f328(f328(f20(a911,a911,a911),f83(a911)),f7(a911))))
% 27.83/28.19 [4356]P19(x43561,f918(x43561,a905),f328(f328(f10(f918(x43561,a905),f918(f918(x43561,a905),f918(x43561,a905)),x43561),f328(f9(f918(x43561,a905),f918(x43561,a905),f918(x43561,a905)),f3(f918(x43561,a905)))),f328(f328(f9(x43561,f918(x43561,a905),f918(x43561,a905)),f310(x43561)),f190(f918(x43561,a905)))))
% 27.83/28.19 [4443]E(f328(f266(f917(a1,a1)),f328(f261(a1,a1,a905),f328(f328(f10(f918(a1,a905),f918(a1,a905),a1),f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a326),f328(f239(a1),x44431)))),f240(a1)))),f112(x44431))
% 27.83/28.19 [4476]E(f328(f266(f917(a1,a1)),f328(f261(a1,a1,a905),f328(f328(f20(a1,f918(a1,a905),f918(a1,a905)),f328(f328(f10(f918(a905,a905),f918(f918(a1,a905),f918(a1,a905)),a1),f10(a905,a905,a1)),f328(f328(f10(a905,f918(a905,a905),a1),a326),f328(f239(a1),x44761)))),f240(a1)))),f110(x44761))
% 27.83/28.19 [4529]E(f328(f266(f917(f918(x45291,a905),f918(x45291,a905))),f328(f261(f918(x45291,a905),f918(x45291,a905),a905),f328(f328(f9(f918(x45291,a905),f918(f918(x45291,a905),a905),f918(f918(x45291,a905),a905)),f328(f328(f10(f918(f918(x45291,a905),f918(a905,a905)),f918(f918(f918(x45291,a905),a905),f918(f918(x45291,a905),a905)),f918(x45291,a905)),f20(f918(x45291,a905),a905,a905)),f328(f328(f10(f918(f918(x45291,a905),a905),f918(f918(x45291,a905),f918(a905,a905)),f918(x45291,a905)),f328(f10(a905,f918(a905,a905),f918(x45291,a905)),a326)),f240(f918(x45291,a905))))),f64(x45291)))),f315(x45291))
% 27.83/28.19 [4675]~P107(f328(f64(f912(x46751)),f246(f918(f912(x46751),a905))))
% 27.83/28.19 [4687]~P107(f328(f328(f239(a1),f2(a1)),f328(f82(a1),f328(f104(a1),f328(a116,x46871)))))
% 27.83/28.19 [3587]E(f328(f328(f3(a1),f328(f328(f83(a1),x35871),a101)),a101),x35871)
% 27.83/28.19 [3601]E(f328(f174(a911),f141(a911,f328(f303(a911,f2(a911)),x36011))),f328(f284(a911),x36011))
% 27.83/28.19 [3801]E(f328(f286(x38011,x38011),f308(x38011,f190(f918(f917(x38011,x38011),a905)))),f246(f918(x38011,a905)))
% 27.83/28.19 [3802]E(f328(f268(x38021,x38021),f308(x38021,f190(f918(f917(x38021,x38021),a905)))),f246(f918(x38021,a905)))
% 27.83/28.19 [3849]E(f328(f328(f83(a1),f328(f328(f83(a1),f81(a1)),x38491)),x38491),f328(f328(f3(a1),f328(f328(f83(a1),x38491),x38491)),a101))
% 27.83/28.19 [3899]E(f328(f288(x38991,x38991),f308(x38991,f190(f918(f917(x38991,x38991),a905)))),f308(x38991,f190(f918(f917(x38991,x38991),a905))))
% 27.83/28.19 [3947]P107(f328(f328(f239(a911),x39471),f328(f328(f84(a911),x39471),f328(f328(f84(a911),x39471),x39471))))
% 27.83/28.19 [4037]E(f328(f328(f290(x40371,x40371,x40371),f190(f918(f917(x40371,x40371),a905))),f308(x40371,f190(f918(f917(x40371,x40371),a905)))),f190(f918(f917(x40371,x40371),a905)))
% 27.83/28.19 [4218]P107(f328(f64(a911),f328(f266(a911),f328(f328(f9(a911,a911,a905),f240(a911)),x42181))))
% 27.83/28.19 [4219]P107(f328(f64(a911),f328(f266(a911),f328(f328(f9(a911,a911,a905),f239(a911)),x42191))))
% 27.83/28.19 [4492]E(f328(f266(f917(x44921,x44921)),f328(f328(f10(f918(x44921,a905),a905,f917(x44921,x44921)),f90(x44921)),f328(f328(f9(f917(x44921,x44921),f918(x44921,f917(x44921,x44921)),f918(x44921,a905)),f328(f328(f10(f918(f917(x44921,x44921),a905),f918(f918(x44921,f917(x44921,x44921)),f918(x44921,a905)),f917(x44921,x44921)),f10(f917(x44921,x44921),a905,x44921)),a325)),f328(f328(f20(x44921,x44921,f917(x44921,x44921)),f256(x44921,x44921)),f7(x44921))))),f308(x44921,f190(f918(f917(x44921,x44921),a905))))
% 27.83/28.19 [4676]~E(f328(f328(f3(a1),f328(f328(f83(a1),x46761),x46761)),a101),a86)
% 27.83/28.19 [4677]~E(f328(f328(f3(a1),f328(f328(f83(a1),x46771),x46771)),a101),a86)
% 27.83/28.19 [4679]~E(f328(f328(f83(a1),f328(f328(f83(a1),f81(a1)),x46791)),x46791),f2(a1))
% 27.83/28.19 [3994]E(f328(f328(f83(a1),f328(f328(f3(a1),a101),x39941)),f328(f328(f3(a1),a101),x39941)),f328(f328(f3(a1),a101),f328(f328(f3(a1),f328(f328(f83(a1),x39941),x39941)),a101)))
% 27.83/28.19 [4109]E(f328(f328(f3(a1),f328(f328(f83(a1),f328(f328(f3(a1),a101),x41091)),f328(f328(f3(a1),a101),x41091))),a101),f328(f328(f3(a1),a101),f328(f328(f83(a1),x41091),x41091)))
% 27.83/28.19 [4141]E(f328(f328(f3(a1),f328(f328(f83(a1),f328(f328(f83(a1),x41411),a101)),f328(f328(f83(a1),x41411),a101))),a101),f328(f328(f83(a1),f328(f328(f83(a1),x41411),x41411)),a101))
% 27.83/28.19 [4179]E(f328(f328(f3(a1),f328(f328(f83(a1),f328(f328(f3(a1),a101),x41791)),f328(f328(f3(a1),a101),x41791))),a101),f328(f328(f3(a1),a86),f328(f328(f3(a1),f328(f328(f83(a1),x41791),x41791)),a101)))
% 27.83/28.19 [4277]E(f328(a92,f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),f328(f328(f256(a911,a911),x42771),f2(a911))),f190(f918(f917(a911,a911),a905))))),f328(f104(a1),x42771))
% 27.83/28.19 [4287]E(f328(a92,f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),f328(f328(f256(a911,a911),f333(x42871)),f345(x42871))),f190(f918(f917(a911,a911),a905))))),x42871)
% 27.83/28.19 [4320]E(f328(f266(a1),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a326),f328(f239(a1),f2(a1)))),x43201)),f328(f311(a911,a1,f104(a1)),f328(f266(a911),f328(f328(f10(a1,a905,a911),x43201),f104(a1)))))
% 27.83/28.19 [4364]P46(f328(f266(a1),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a326),f328(f239(a1),f2(a1)))),x43641)))
% 27.83/28.19 [4384]P107(f328(f328(f330(f917(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905))),f328(f328(f256(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905)),x43841),f190(f918(f917(a911,a911),a905)))),a75))
% 27.83/28.19 [4389]E(f328(f311(a1,a911,a109),f328(f266(a1),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a326),f328(f239(a1),f2(a1)))),f328(f328(f10(a911,a905,a1),x43891),a109)))),f328(f266(a911),x43891))
% 27.83/28.19 [4544]E(f313(a911,f328(f328(f42(f917(a911,a911),f918(a911,a905)),f328(a111,x45441)),f328(f261(a911,a911,f918(a911,a905)),f328(f328(f9(a911,f918(a911,a905),f918(a911,f918(a911,a905))),f328(f328(f10(f918(a911,f918(f918(a911,a905),f918(a911,a905))),f918(f918(a911,a905),f918(a911,f918(a911,a905))),a911),f9(a911,f918(a911,a905),f918(a911,a905))),f328(f328(f10(f918(a911,a911),f918(a911,f918(f918(a911,a905),f918(a911,a905))),a911),f328(f10(a911,f918(f918(a911,a905),f918(a911,a905)),a911),f310(a911))),f3(a911)))),f190(f918(a911,a905)))))),f328(a109,x45441))
% 27.83/28.19 [4038]E(f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),x40381),x40381)),a101)),a101),f328(f328(f83(a1),x40381),x40381))
% 27.83/28.19 [4087]E(f328(f328(f3(a1),f328(f328(f3(a1),f328(f328(f83(a1),x40871),x40871)),a101)),a101),f328(f328(f83(a1),f328(f328(f3(a1),x40871),a101)),f328(f328(f3(a1),x40871),a101)))
% 27.83/28.19 [4293]E(f328(f328(f3(a1),f328(f328(f83(a1),f328(f328(f83(a1),f328(f82(a1),x42931)),a101)),f328(f328(f83(a1),f328(f82(a1),x42931)),a101))),a101),f328(f82(a1),f328(f328(f3(a1),f328(f328(f83(a1),x42931),x42931)),a101)))
% 27.83/28.19 [4337]E(f328(f328(f83(a911),x43371),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f328(a116,f328(a116,x43371)))
% 27.83/28.19 [4338]E(f328(f328(f84(a911),x43381),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f328(f328(f83(a911),x43381),x43381))
% 27.83/28.19 [4339]E(f328(f328(f39(a911),f328(f328(f83(a911),x43391),x43391)),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x43391)
% 27.83/28.19 [4417]E(f48(a911,f328(a116,f328(a116,x44171)),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f48(a911,x44171,f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))
% 27.83/28.19 [4561]E(f328(a92,f328(f328(f42(f917(a911,a911),f918(f917(a911,a911),a905)),f328(a111,x45611)),f328(f261(a911,a911,f918(f917(a911,a911),a905)),f328(f328(f10(f918(a911,f918(f917(a911,a911),a905)),f918(a911,f918(f917(a911,a911),a905)),a911),f328(f10(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905),a911),f287(f917(a911,a911),f917(a911,a911),a113))),f328(f328(f9(a911,f918(f917(a911,a911),a905),f918(a911,f918(f917(a911,a911),a905))),f328(f328(f10(f918(a911,f918(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905))),f918(f918(f917(a911,a911),a905),f918(a911,f918(f917(a911,a911),a905))),a911),f9(a911,f918(f917(a911,a911),a905),f918(f917(a911,a911),a905))),f328(f328(f10(f918(a911,f917(a911,a911)),f918(a911,f918(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905))),a911),f328(f10(f917(a911,a911),f918(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905)),a911),f310(f917(a911,a911)))),f328(f9(a911,a911,f917(a911,a911)),f256(a911,a911))))),f190(f918(f917(a911,a911),a905))))))),f328(f82(a1),x45611))
% 27.83/28.19 [4412]E(f328(f328(f83(a911),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x44121),f328(a116,f328(a116,x44121)))
% 27.83/28.19 [4413]E(f328(f328(f84(a911),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x44131),f328(f328(f83(a911),x44131),x44131))
% 27.83/28.19 [4449]E(f328(f328(f39(a911),f328(a116,f328(a116,x44491))),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f328(a116,f328(f328(f39(a911),x44491),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))))
% 27.83/28.19 [4499]E(f328(f328(f83(a911),f328(f108(a911),f328(f328(f3(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))),a101))),x44991),f328(a116,f328(a116,f328(a116,x44991))))
% 27.83/28.19 [4568]E(f328(f261(a1,a1,f917(a1,a1)),f328(f328(f20(a1,f918(a1,f917(a1,a1)),f918(a1,f917(a1,a1))),f328(f328(f10(f918(a1,f918(f917(a1,a1),f917(a1,a1))),f918(f918(a1,f917(a1,a1)),f918(a1,f917(a1,a1))),a1),f20(a1,f917(a1,a1),f917(a1,a1))),f328(f328(f10(f918(a1,f917(a1,a1)),f918(a1,f918(f917(a1,a1),f917(a1,a1))),a1),f328(f20(a1,f917(a1,a1),f918(f917(a1,a1),f917(a1,a1))),f328(f328(f10(a905,f918(f917(a1,a1),f918(f917(a1,a1),f917(a1,a1))),a1),f100(f917(a1,a1))),f328(f328(f10(a1,a905,a1),f328(f239(a1),f2(a1))),f328(f328(f9(a1,a1,a1),f3(a1)),x45681))))),f328(f328(f9(a1,f918(a1,a1),f918(a1,f917(a1,a1))),f328(f328(f10(f918(a1,f917(a1,a1)),f918(f918(a1,a1),f918(a1,f917(a1,a1))),a1),f10(a1,f917(a1,a1),a1)),f328(f328(f10(a1,f918(a1,f917(a1,a1)),a1),f256(a1,a1)),f328(f328(f9(a1,a1,a1),f328(f328(f10(a1,f918(a1,a1),a1),f83(a1)),f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))),f81(a1))))),f328(f328(f9(a1,a1,a1),f3(a1)),x45681))))),f328(f328(f10(a1,f918(a1,f917(a1,a1)),a1),f256(a1,a1)),f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))))),f46(x45681))
% 27.83/28.19 [3627]P47(a25,x36271,x36272,x36271)
% 27.83/28.19 [3628]P47(a25,x36281,x36282,x36281)
% 27.83/28.19 [3260]P106(f916(x32601,x32602))
% 27.83/28.19 [3261]P106(f917(x32611,x32612))
% 27.83/28.19 [3262]P106(f919(x32621,x32622))
% 27.83/28.19 [3279]P18(a1,f180(x32791,x32792))
% 27.83/28.19 [3280]P43(x32801,f155(x32801,x32802))
% 27.83/28.19 [3281]P44(x32811,f267(x32811,x32812))
% 27.83/28.19 [3282]P44(x32821,f308(x32821,x32822))
% 27.83/28.19 [3283]P45(x32831,f267(x32831,x32832))
% 27.83/28.19 [3284]P58(x32841,f267(x32841,x32842))
% 27.83/28.19 [3349]P37(x33491,x33492,f117(x33491))
% 27.83/28.19 [3382]P59(x33821,x33822,f267(x33821,x33822))
% 27.83/28.19 [3383]P61(x33831,x33831,f267(x33831,x33832))
% 27.83/28.19 [3652]P30(x36521,x36521,f7(x36521),x36522)
% 27.83/28.19 [3653]P30(x36531,x36531,f35(x36531),x36532)
% 27.83/28.19 [3659]P38(x36591,x36592,f117(x36591),f117(x36591))
% 27.83/28.19 [3660]P38(x36601,x36602,f117(x36601),f117(x36601))
% 27.83/28.19 [3669]P30(f912(x36691),f912(x36691),f170(x36691),x36692)
% 27.83/28.19 [4078]P31(x40781,x40781,f35(x40781),x40782,x40782)
% 27.83/28.19 [4577]~E(f34(x45771,x45772),a25)
% 27.83/28.19 [4578]~E(f27(x45781,x45782),a25)
% 27.83/28.19 [4579]~E(f33(x45791,x45792),a25)
% 27.83/28.19 [4580]~E(f34(x45801,x45802),a25)
% 27.83/28.19 [4581]~E(f27(x45811,x45812),a25)
% 27.83/28.19 [4582]~E(f33(x45821,x45822),a25)
% 27.83/28.19 [4619]~P39(x46191,x46192,f117(x46191))
% 27.83/28.19 [4620]~P41(x46201,x46202,f117(x46201))
% 27.83/28.19 [3245]E(f328(f7(x32451),x32452),x32452)
% 27.83/28.19 [3246]E(f328(f266(x32461),x32462),x32462)
% 27.83/28.19 [3247]E(f328(f35(x32471),x32472),x32472)
% 27.83/28.19 [3248]E(f328(f35(x32481),x32482),x32482)
% 27.83/28.19 [3258]E(f328(f193(x32581),x32582),f119(x32581))
% 27.83/28.19 [3267]E(f32(f27(x32671,x32672)),f2(a911))
% 27.83/28.19 [3277]E(f88(x32771,f328(a325,x32772)),x32772)
% 27.83/28.19 [3278]E(f93(x32781,f328(a325,x32782)),x32782)
% 27.83/28.19 [3301]E(f328(f191(a906),f27(x33011,x33012)),f2(a911))
% 27.83/28.19 [3302]E(f328(f128(x33021,x33022),f123(x33021)),f2(a911))
% 27.83/28.19 [3305]E(f328(f138(x33051,x33052),f117(x33051)),f117(x33051))
% 27.83/28.19 [3325]E(f154(x33251,f154(x33251,x33252)),f154(x33251,x33252))
% 27.83/28.19 [3326]E(f308(x33261,f308(x33261,x33262)),f308(x33261,x33262))
% 27.83/28.19 [3344]E(f328(f328(f136(x33441),x33442),f117(x33441)),x33442)
% 27.83/28.19 [3350]E(f175(x33501,x33502,f117(x33501)),x33502)
% 27.83/28.19 [3351]E(f175(x33511,f117(x33511),x33512),x33512)
% 27.83/28.19 [3352]E(f120(x33521,f123(x33521),x33522),x33522)
% 27.83/28.19 [3353]E(f171(x33531,f2(a911),x33532),f117(x33531))
% 27.83/28.19 [3359]E(f328(f328(f177(x33591),x33592),f117(x33591)),f117(x33591))
% 27.83/28.19 [3360]E(f328(f328(f140(x33601),x33602),f117(x33601)),f117(x33601))
% 27.83/28.19 [3362]E(f157(x33621,x33622,f117(x33621)),f2(a911))
% 27.83/28.19 [3364]E(f172(x33641,x33642,f117(x33641)),f117(x33641))
% 27.83/28.19 [3365]E(f179(x33651,x33652,f117(x33651)),f117(x33651))
% 27.83/28.19 [3366]E(f178(x33661,f117(x33661),x33662),f117(x33661))
% 27.83/28.19 [3370]E(f328(f174(x33701),f154(x33701,x33702)),f328(f174(x33701),x33702))
% 27.83/28.19 [3373]E(f328(f286(x33731,x33731),f267(x33731,x33732)),x33732)
% 27.83/28.19 [3374]E(f328(f268(x33741,x33741),f267(x33741,x33742)),x33742)
% 27.83/28.19 [3381]E(f328(f288(x33811,x33811),f267(x33811,x33812)),f267(x33811,x33812))
% 27.83/28.19 [3394]E(f308(f912(x33941),f159(x33941,x33942)),f160(x33941,f308(x33941,x33942)))
% 27.83/28.19 [3396]P107(f328(f139(a1),f180(x33961,x33962)))
% 27.83/28.19 [3404]E(f328(f286(x34041,x34041),f308(x34041,x34042)),f246(f918(x34041,a905)))
% 27.83/28.19 [3405]E(f328(f268(x34051,x34051),f308(x34051,x34052)),f246(f918(x34051,a905)))
% 27.83/28.19 [3409]P107(f328(f139(x34091),f154(x34091,x34092)))
% 27.83/28.19 [3410]P107(f328(f162(x34101,x34102),f117(x34101)))
% 27.83/28.19 [3411]P107(f328(f162(x34111,x34112),f117(x34111)))
% 27.83/28.19 [3417]E(f328(f174(a1),f180(x34171,x34172)),f304(a1,x34171,x34172))
% 27.83/28.19 [3418]E(f328(f174(a1),f180(x34181,x34182)),f304(a1,x34181,x34182))
% 27.83/28.19 [3432]P62(x34321,f190(f918(x34321,a905)),x34322)
% 27.83/28.19 [3437]E(f328(f260(a1,a1),f49(x34371,x34372)),f48(a1,x34371,x34372))
% 27.83/28.19 [3438]E(f328(f303(a911,x34381),f328(a116,x34382)),f304(a911,x34381,x34382))
% 27.83/28.19 [3455]E(f328(f328(f153(x34551),x34552),f117(x34551)),f142(x34551,x34552,f117(x34551)))
% 27.83/28.19 [3468]E(f304(a911,f328(a116,x34681),x34682),f306(a911,x34681,x34682))
% 27.83/28.19 [3471]P59(x34711,f246(f918(x34711,a905)),f308(x34711,x34712))
% 27.83/28.19 [3534]E(f328(f328(f3(a911),x35341),f328(a116,x35342)),f328(f38(a911),f307(a911,x35342,x35341)))
% 27.83/28.19 [3588]E(f168(x35881,x35882,f117(x35881)),f328(f328(f256(f912(x35881),f912(x35881)),f117(x35881)),f117(x35881)))
% 27.83/28.19 [3606]E(f328(f261(x36061,x36062,f917(x36061,x36062)),f256(x36061,x36062)),f35(f917(x36061,x36062)))
% 27.83/28.19 [3610]P107(f328(f328(f330(f912(x36101)),f117(x36101)),f163(x36101,x36102)))
% 27.83/28.19 [3611]E(f328(f191(f912(x36111)),f118(x36111,x36112)),f328(f328(f3(a911),f328(f191(f912(x36111)),x36112)),f81(a911)))
% 27.83/28.19 [3619]P107(f328(f64(a911),f307(a911,x36191,x36192)))
% 27.83/28.19 [3620]P107(f328(f64(a911),f306(a911,x36201,x36202)))
% 27.83/28.19 [3621]P107(f328(f64(a911),f304(a911,x36211,x36212)))
% 27.83/28.19 [3622]P107(f328(f64(a1),f307(a1,x36221,x36222)))
% 27.83/28.19 [3623]P107(f328(f64(a1),f306(a1,x36231,x36232)))
% 27.83/28.19 [3624]P107(f328(f64(a1),f304(a1,x36241,x36242)))
% 27.83/28.19 [3731]E(f328(f311(a911,a911,a116),f304(a911,x37311,x37312)),f304(a911,f328(a116,x37311),f328(a116,x37312)))
% 27.83/28.19 [3750]E(f328(f328(f290(x37501,x37501,x37501),f308(x37501,x37502)),f308(x37501,x37502)),f308(x37501,x37502))
% 27.83/28.19 [3785]E(f328(f328(f256(a1,a1),f328(f328(f39(a1),x37851),x37852)),f48(a1,x37851,x37852)),f49(x37851,x37852))
% 27.83/28.19 [3786]E(f328(f328(f256(a103,a103),f328(f328(f39(a103),x37861),x37862)),f48(a103,x37861,x37862)),f23(x37861,x37862))
% 27.83/28.19 [3814]E(f328(f328(f256(a911,a911),f328(f328(f39(a911),x38141),x38142)),f48(a911,x38141,x38142)),f88(f917(a911,a911),f51(x38141,x38142)))
% 27.83/28.19 [3868]P107(f328(f328(f240(a911),f328(f328(f3(a911),x38681),x38682)),f328(a116,x38681)))
% 27.83/28.19 [3918]P44(x39181,f328(f328(f290(x39181,x39181,x39181),x39182),f308(x39181,x39182)))
% 27.83/28.19 [3957]E(f328(f328(f140(x39571),f328(f191(f912(x39571)),f179(x39571,x39572,f117(x39571)))),f117(x39571)),f117(x39571))
% 27.83/28.19 [3968]E(f328(f328(f83(a1),f328(f328(f84(a1),x39681),f328(f328(f39(a1),x39682),x39681))),f48(a1,x39682,x39681)),x39682)
% 27.83/28.19 [3972]E(f328(f328(f42(a911,f918(f917(f912(x39721),f912(x39721)),a905)),f246(f918(a911,a905))),f145(x39721,x39722)),f147(x39721,x39722))
% 27.83/28.19 [4053]E(f328(f138(x40531,f328(f328(f10(a905,a905,x40531),a323),f328(a325,x40532))),f117(x40531)),f117(x40531))
% 27.83/28.19 [4195]P107(f328(f328(f330(f917(f912(x41951),f912(x41951))),f328(f328(f256(f912(x41951),f912(x41951)),f117(x41951)),f117(x41951))),f160(x41951,x41952)))
% 27.83/28.19 [4305]E(f257(x43051,x43051,x43051,a325,f257(x43051,x43051,x43051,x43052,a325)),x43052)
% 27.83/28.19 [4348]E(f262(x43481,x43481,x43482,x43482,f35(x43481),f35(x43482)),f35(f917(x43481,x43482)))
% 27.83/28.19 [4349]E(f262(x43491,x43491,x43492,x43492,f7(x43491),f7(x43492)),f35(f917(x43491,x43492)))
% 27.83/28.19 [4350]E(f262(x43501,x43501,x43502,x43502,f35(x43501),f35(x43502)),f35(f917(x43501,x43502)))
% 27.83/28.19 [4351]E(f262(x43511,x43511,x43512,x43512,f35(x43511),f35(x43512)),f35(f917(x43511,x43512)))
% 27.83/28.19 [3343]E(f328(f170(x33431),f328(f170(x33431),x33432)),x33432)
% 27.83/28.19 [3345]E(f328(f328(f140(x33451),f2(a911)),x33452),x33452)
% 27.83/28.19 [3361]E(f328(f328(f177(x33611),f2(a911)),x33612),f117(x33611))
% 27.83/28.19 [3368]E(f328(f328(f136(x33681),f117(x33681)),x33682),x33682)
% 27.83/28.19 [3377]E(f40(f918(x33771,a905),f328(f309(x33771),x33772)),x33772)
% 27.83/28.19 [3379]E(f328(f174(x33791),f328(f169(x33791),x33792)),f328(f174(x33791),x33792))
% 27.83/28.19 [3380]E(f328(f174(x33801),f328(f170(x33801),x33802)),f328(f174(x33801),x33802))
% 27.83/28.19 [3385]E(f328(f328(f3(a103),x33851),x33852),f328(f328(a4,x33851),x33852))
% 27.83/28.19 [3398]E(f328(f328(f83(a911),x33981),x33982),f328(f328(f83(a911),x33982),x33981))
% 27.83/28.19 [3399]E(f328(f328(f83(a1),x33991),x33992),f328(f328(f83(a1),x33992),x33991))
% 27.83/28.19 [3400]E(f328(f328(f84(a911),x34001),x34002),f328(f328(f84(a911),x34002),x34001))
% 27.83/28.19 [3401]E(f328(f328(f84(a1),x34011),x34012),f328(f328(f84(a1),x34012),x34011))
% 27.83/28.19 [3424]E(f328(f328(f185(x34241,x34241),f2(a911)),x34242),f35(x34241))
% 27.83/28.19 [3425]E(f328(f191(f912(x34251)),f328(f169(x34251),x34252)),f328(f191(f912(x34251)),x34252))
% 27.83/28.19 [3426]E(f328(f191(f912(x34261)),f328(f170(x34261),x34262)),f328(f191(f912(x34261)),x34262))
% 27.83/28.19 [3427]E(f178(x34271,x34272,f190(f918(a911,a905))),f117(x34271))
% 27.83/28.19 [3428]E(f328(f328(f156(x34281,x34281),f7(x34281)),x34282),x34282)
% 27.83/28.19 [3430]E(f328(f255(a1,a1),f49(x34301,x34302)),f328(f328(f39(a1),x34301),x34302))
% 27.83/28.19 [3448]E(f328(f191(f912(x34481)),f154(x34481,x34482)),f328(f38(x34481),f328(f174(x34481),x34482)))
% 27.83/28.19 [3449]E(f32(f33(x34491,x34492)),f328(f328(f83(a911),f32(x34492)),f328(a116,f2(a911))))
% 27.83/28.19 [3450]E(f328(f283(x34501),f328(f288(x34501,x34501),x34502)),f328(f283(x34501),x34502))
% 27.83/28.19 [3454]P107(f328(f64(x34541),f328(f174(x34541),x34542)))
% 27.83/28.19 [3461]E(f328(f328(f83(a1),x34611),f328(f82(a1),x34612)),f328(f328(f3(a1),x34611),x34612))
% 27.83/28.19 [3462]E(f328(f328(f83(a1),x34621),f328(f82(a1),x34622)),f328(f328(f3(a1),x34621),x34622))
% 27.83/28.19 [3469]P29(x34691,x34692,f190(f918(f910(x34691),a905)))
% 27.83/28.19 [3470]P29(x34701,x34702,f190(f918(f910(x34701),a905)))
% 27.83/28.19 [3472]E(f328(f311(x34721,x34721,f7(x34721)),x34722),x34722)
% 27.83/28.19 [3473]E(f328(f311(x34731,x34731,f35(x34731)),x34732),x34732)
% 27.83/28.19 [3474]E(f328(f312(x34741,x34741,f7(x34741)),x34742),x34742)
% 27.83/28.19 [3475]E(f328(f312(x34751,x34751,f35(x34751)),x34752),x34752)
% 27.83/28.19 [3476]P107(f328(f246(f918(x34761,a905)),x34762))
% 27.83/28.19 [3478]E(f328(f38(a911),f328(f303(a911,x34781),x34782)),f328(f328(f3(a911),x34782),x34781))
% 27.83/28.19 [3479]E(f328(f303(a911,f328(a116,x34791)),x34792),f307(a911,x34791,x34792))
% 27.83/28.19 [3492]E(f328(f328(f310(x34921),x34922),f190(f918(x34921,a905))),f328(f266(x34921),f328(a325,x34922)))
% 27.83/28.19 [3498]E(f308(x34981,f328(f288(x34981,x34981),x34982)),f328(f288(x34981,x34981),f308(x34981,x34982)))
% 27.83/28.19 [3502]E(f328(f328(f83(a911),f328(a116,x35021)),x35022),f328(f328(f83(a911),x35021),f328(a116,x35022)))
% 27.83/28.19 [3503]E(f328(f328(f3(a911),f328(a116,x35031)),f328(a116,x35032)),f328(f328(f3(a911),x35031),x35032))
% 27.83/28.19 [3509]E(f58(x35091,f2(a911),x35092),f328(f328(f153(f912(x35091)),f117(x35091)),f117(f912(x35091))))
% 27.83/28.19 [3510]E(f328(f38(a911),f306(a911,x35101,x35102)),f328(f328(f3(a911),x35102),x35101))
% 27.83/28.19 [3519]P43(x35191,f328(f328(f289(a911,x35191),a244),x35192))
% 27.83/28.19 [3521]P18(a911,f141(a911,f328(f303(a911,x35211),x35212)))
% 27.83/28.19 [3523]P107(f328(f64(a911),f328(f303(a911,x35231),x35232)))
% 27.83/28.19 [3524]P107(f328(f64(a1),f328(f303(a1,x35241),x35242)))
% 27.83/28.19 [3527]E(f328(f288(f912(x35271),f912(x35271)),f159(x35271,x35272)),f159(x35271,f328(f288(x35271,x35271),x35272)))
% 27.83/28.19 [3528]E(f328(f191(a906),f33(x35281,x35282)),f328(f328(f83(a911),f328(f191(a906),x35282)),f328(a116,f2(a911))))
% 27.83/28.19 [3530]E(f328(f303(a1,x35301),f328(f328(f83(a1),x35302),f81(a1))),f304(a1,x35301,x35302))
% 27.83/28.19 [3533]E(f328(f328(f39(a1),f328(f82(a1),x35331)),f328(f82(a1),x35332)),f328(f328(f39(a1),x35331),x35332))
% 27.83/28.19 [3541]E(f328(f328(f185(f917(x35411,x35411),a905),f81(a911)),x35412),x35412)
% 27.83/28.19 [3543]E(f328(f328(f3(f918(x35431,a905)),x35432),f190(f918(x35431,a905))),x35432)
% 27.83/28.19 [3544]E(f328(f328(f105(f918(x35441,a905)),x35442),f190(f918(x35441,a905))),x35442)
% 27.83/28.19 [3545]E(f328(f328(f106(f918(x35451,a905)),x35452),f246(f918(x35451,a905))),x35452)
% 27.83/28.19 [3546]E(f328(f255(a911,a911),f88(f917(a911,a911),f51(x35461,x35462))),f328(f328(f39(a911),x35461),x35462))
% 27.83/28.19 [3553]E(f304(a1,f328(f328(f83(a1),x35531),f81(a1)),x35532),f306(a1,x35531,x35532))
% 27.83/28.19 [3558]E(f328(f260(a911,a911),f88(f917(a911,a911),f51(x35581,x35582))),f48(a911,x35581,x35582))
% 27.83/28.19 [3567]P107(f328(f328(f330(x35671),x35672),f246(f918(x35671,a905))))
% 27.83/28.19 [3568]P107(f328(f328(f330(x35681),x35682),f246(f918(x35681,a905))))
% 27.83/28.19 [3572]E(f328(f328(f3(a911),f328(a116,x35721)),x35722),f328(f38(a911),f304(a911,x35722,x35721)))
% 27.83/28.19 [3597]E(f328(f328(f3(f918(x35971,a905)),x35972),f246(f918(x35971,a905))),f190(f918(x35971,a905)))
% 27.83/28.19 [3598]E(f328(f328(f105(f918(x35981,a905)),x35982),f246(f918(x35981,a905))),f246(f918(x35981,a905)))
% 27.83/28.19 [3599]E(f328(f328(f106(f918(x35991,a905)),x35992),f190(f918(x35991,a905))),f190(f918(x35991,a905)))
% 27.83/28.19 [3613]E(f48(a1,f328(f104(a1),x36131),f328(f104(a1),x36132)),f328(f104(a1),f48(a911,x36131,x36132)))
% 27.83/28.19 [3614]E(f48(a1,f328(f104(a1),x36141),f328(f104(a1),x36142)),f328(f104(a1),f48(a911,x36141,x36142)))
% 27.83/28.19 [3615]E(f48(a1,f328(f82(a1),x36151),f328(f82(a1),x36152)),f328(f82(a1),f48(a1,x36151,x36152)))
% 27.83/28.19 [3626]E(f328(f191(f912(x36261)),f328(f173(x36261),x36262)),f328(f328(f3(a911),f328(f191(f912(x36261)),x36262)),f81(a911)))
% 27.83/28.19 [3654]E(f328(f328(f39(a1),f48(a1,x36541,x36542)),x36542),f2(a1))
% 27.83/28.19 [3662]E(f328(a5,f48(a911,f328(a22,x36621),f328(a22,x36622))),f48(a103,x36621,x36622))
% 27.83/28.19 [3697]E(f328(a5,f328(f328(f83(a911),f328(a22,x36971)),f328(a22,x36972))),f328(f328(f83(a103),x36971),x36972))
% 27.83/28.19 [3698]E(f328(a5,f328(f328(f84(a911),f328(a22,x36981)),f328(a22,x36982))),f328(f328(f84(a103),x36981),x36982))
% 27.83/28.19 [3699]E(f328(a5,f328(f328(f39(a911),f328(a22,x36991)),f328(a22,x36992))),f328(f328(f39(a103),x36991),x36992))
% 27.83/28.19 [3700]E(f328(a5,f328(f328(f3(a911),f328(a22,x37001)),f328(a22,x37002))),f328(f328(f3(a103),x37001),x37002))
% 27.83/28.19 [3709]E(f328(f311(a911,a911,a116),f328(f303(a911,x37091),x37092)),f328(f303(a911,f328(a116,x37091)),f328(a116,x37092)))
% 27.83/28.19 [3736]P107(f328(f51(x37361,x37362),f88(f917(a911,a911),f51(x37361,x37362))))
% 27.83/28.19 [3759]E(f328(f328(f83(a911),f328(f328(f83(a911),f32(x37591)),f32(x37592))),f328(a116,f2(a911))),f32(f34(x37591,x37592)))
% 27.83/28.19 [3760]E(f48(a911,f328(a116,f48(a911,x37601,x37602)),x37602),f48(a911,f328(a116,x37601),x37602))
% 27.83/28.19 [3772]E(f328(f328(f42(f918(x37721,a905),f918(x37721,a905)),x37722),f7(f918(x37721,a905))),f40(f918(x37721,a905),x37722))
% 27.83/28.19 [3773]E(f328(f328(f43(f918(x37731,a905),f918(x37731,a905)),x37732),f7(f918(x37731,a905))),f41(f918(x37731,a905),x37732))
% 27.83/28.19 [3774]E(f328(f311(f912(x37741),f918(x37741,a905),f174(x37741)),f328(f174(f912(x37741)),f57(x37741,x37742))),f328(f309(x37741),f328(f174(x37741),x37742)))
% 27.83/28.19 [3778]P107(f328(f328(f330(f918(x37781,a905)),x37782),f328(f309(x37781),x37782)))
% 27.83/28.19 [3784]E(f48(a1,f328(f82(a1),f48(a1,x37841,x37842)),x37842),f48(a1,f328(f82(a1),x37841),x37842))
% 27.83/28.19 [3796]P107(f328(f328(f239(f918(x37961,a905)),x37962),f246(f918(x37961,a905))))
% 27.83/28.19 [3798]E(f328(f328(f290(x37981,x37981,x37981),f308(x37981,x37982)),f308(x37981,f308(x37981,x37982))),f308(x37981,x37982))
% 27.83/28.19 [3799]E(f328(f328(f105(f918(x37991,a905)),f328(f268(x37991,x37991),x37992)),f328(f286(x37991,x37991),x37992)),f328(f283(x37991),x37992))
% 27.83/28.19 [3820]E(f314(x38201,x38202,f246(f918(x38201,a905)),f246(f918(x38202,a905))),f246(f918(f919(x38201,x38202),a905)))
% 27.83/28.19 [3873]P107(f328(f328(f239(a911),f48(a911,x38731,x38732)),x38731))
% 27.83/28.19 [3897]P107(f328(f328(f239(a1),f328(f82(a1),f328(f104(a1),x38971))),f328(f104(a1),x38972)))
% 27.83/28.19 [3923]P107(f328(f328(f330(f918(x39231,a905)),f190(f918(x39231,a905))),f328(f309(x39231),x39232)))
% 27.83/28.19 [3928]E(f308(x39281,f328(f328(f290(x39281,x39281,x39281),x39282),f308(x39281,x39282))),f308(x39281,x39282))
% 27.83/28.19 [3930]E(f328(f328(f290(x39301,x39301,x39301),f308(x39301,x39302)),x39302),f328(f328(f290(x39301,x39301,x39301),x39302),f308(x39301,x39302)))
% 27.83/28.19 [3931]E(f328(f328(f290(x39311,x39311,x39311),f308(x39311,x39312)),x39312),f328(f328(f290(x39311,x39311,x39311),x39312),f308(x39311,x39312)))
% 27.83/28.19 [3933]E(f328(a109,f328(f328(f83(a1),f328(f328(f3(a1),x39331),x39332)),f81(a1))),f328(f38(a1),f304(a1,x39332,x39331)))
% 27.83/28.19 [3948]E(f328(f286(x39481,x39481),f328(f328(f290(x39481,x39481,x39481),x39482),f308(x39481,x39482))),f328(f286(x39481,x39481),x39482))
% 27.83/28.19 [3949]E(f328(f268(x39491,x39491),f328(f328(f290(x39491,x39491,x39491),x39492),f308(x39491,x39492))),f328(f268(x39491,x39491),x39492))
% 27.83/28.19 [3964]E(f328(f328(f83(a911),f328(f328(f83(a911),f328(f191(a906),x39641)),f328(f191(a906),x39642))),f328(a116,f2(a911))),f328(f191(a906),f34(x39641,x39642)))
% 27.83/28.19 [3967]E(f328(f144(f912(x39671),f912(x39671),f136(x39671),f117(x39671)),f171(f912(x39671),x39672,f117(x39671))),f117(x39671))
% 27.83/28.19 [3976]P30(a911,a911,f328(f328(f9(a911,a911,a911),f83(a911)),x39761),x39762)
% 27.83/28.19 [3978]P18(a911,f328(f170(a911),f328(f328(f156(f912(x39781),a911),f191(f912(x39781))),f181(x39781,x39782))))
% 27.83/28.19 [4011]P58(x40111,f328(f328(f105(f918(f917(x40111,x40111),a905)),x40112),f328(f288(x40111,x40111),x40112)))
% 27.83/28.19 [4012]P58(x40121,f328(f328(f106(f918(f917(x40121,x40121),a905)),x40122),f328(f288(x40121,x40121),x40122)))
% 27.83/28.19 [4023]P107(f328(f328(f240(a1),f328(f82(a1),f328(f104(a1),f328(a116,x40231)))),f328(f104(a1),x40232)))
% 27.83/28.19 [4067]E(f328(f144(f912(x40671),x40671,f328(f9(x40671,f912(x40671),f912(x40671)),f153(x40671)),f117(x40671)),x40672),f328(f170(x40671),x40672))
% 27.83/28.19 [4116]P107(f328(f328(f239(f918(f917(f912(x41161),f912(x41161)),a905)),f160(x41161,x41162)),f308(f912(x41161),f159(x41161,x41162))))
% 27.83/28.19 [4145]P107(f328(f51(x41451,x41452),f328(f328(f256(a911,a911),f328(f328(f39(a911),x41451),x41452)),f48(a911,x41451,x41452))))
% 27.83/28.19 [4157]P107(f328(f328(f239(f918(f917(f912(x41571),f912(x41571)),a905)),f159(x41571,f308(x41571,x41572))),f308(f912(x41571),f159(x41571,x41572))))
% 27.83/28.19 [4374]E(f328(f328(f263(f917(a103,a103),a103,f917(a103,a103),f917(x43741,f917(a103,a103))),f271(f328(f167(a103),f328(f328(f156(f917(a103,x43741),a103),f255(a103,x43741)),x43742)))),f328(f328(f10(x43741,f918(f917(a103,a103),f917(x43741,f917(a103,a103))),a103),f256(x43741,f917(a103,a103))),f272(x43741,x43742))),f270(x43741,x43742))
% 27.83/28.19 [4451]E(f227(a911,f917(x44511,f913(x44511)),f2(a911),f328(f261(x44511,f913(x44511),a911),f328(f18(f918(f913(x44511),a911),x44511),f328(f328(f9(f913(x44511),a911,a911),f328(f328(f10(a911,f918(a911,a911),f913(x44511)),f83(a911)),f191(f913(x44511)))),f81(a911)))),f328(f137(x44511),x44512)),f328(f191(f913(x44511)),x44512))
% 27.83/28.19 [4525]E(f48(a911,f328(f328(f83(a911),f328(f108(a911),f328(f328(f3(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))),a101))),x45251),f328(f108(a911),x45252)),f48(a911,f328(a116,f328(a116,f328(a116,x45251))),f328(f108(a911),x45252)))
% 27.83/28.19 [4538]E(f328(f328(f39(a911),f328(f328(f83(a911),f328(f108(a911),f328(f328(f3(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))),a101))),x45381)),f328(f108(a911),x45382)),f328(f328(f39(a911),f328(a116,f328(a116,f328(a116,x45381)))),f328(f108(a911),x45382)))
% 27.83/28.19 [4560]E(f328(f261(f918(f917(x45601,x45601),a905),f918(f917(x45601,x45601),a905),f918(f918(x45602,x45601),f917(f918(f917(x45602,x45602),a905),f918(f917(x45602,x45602),a905)))),f328(f328(f9(f918(f917(x45601,x45601),a905),f918(f918(f917(x45601,x45601),a905),f918(f918(x45602,x45601),f918(f917(x45602,x45602),a905))),f918(f918(f917(x45601,x45601),a905),f918(f918(x45602,x45601),f917(f918(f917(x45602,x45602),a905),f918(f917(x45602,x45602),a905))))),f328(f328(f10(f918(f918(f918(x45602,x45601),f918(f917(x45602,x45602),a905)),f918(f918(x45602,x45601),f917(f918(f917(x45602,x45602),a905),f918(f917(x45602,x45602),a905)))),f918(f918(f918(f917(x45601,x45601),a905),f918(f918(x45602,x45601),f918(f917(x45602,x45602),a905))),f918(f918(f917(x45601,x45601),a905),f918(f918(x45602,x45601),f917(f918(f917(x45602,x45602),a905),f918(f917(x45602,x45602),a905))))),f918(f917(x45601,x45601),a905)),f10(f918(f918(x45602,x45601),f918(f917(x45602,x45602),a905)),f918(f918(x45602,x45601),f917(f918(f917(x45602,x45602),a905),f918(f917(x45602,x45602),a905))),f918(f917(x45601,x45601),a905))),f328(f328(f10(f918(f918(x45602,x45601),f918(f918(f917(x45602,x45602),a905),f917(f918(f917(x45602,x45602),a905),f918(f917(x45602,x45602),a905)))),f918(f918(f918(x45602,x45601),f918(f917(x45602,x45602),a905)),f918(f918(x45602,x45601),f917(f918(f917(x45602,x45602),a905),f918(f917(x45602,x45602),a905)))),f918(f917(x45601,x45601),a905)),f20(f918(x45602,x45601),f918(f917(x45602,x45602),a905),f917(f918(f917(x45602,x45602),a905),f918(f917(x45602,x45602),a905)))),f328(f328(f10(f918(f918(x45602,x45601),f918(f917(x45602,x45602),a905)),f918(f918(x45602,x45601),f918(f918(f917(x45602,x45602),a905),f917(f918(f917(x45602,x45602),a905),f918(f917(x45602,x45602),a905)))),f918(f917(x45601,x45601),a905)),f328(f10(f918(f917(x45602,x45602),a905),f918(f918(f917(x45602,x45602),a905),f917(f918(f917(x45602,x45602),a905),f918(f917(x45602,x45602),a905))),f918(x45602,x45601)),f256(f918(f917(x45602,x45602),a905),f918(f917(x45602,x45602),a905)))),f289(x45601,x45602))))),f289(x45601,x45602))),f77(x45601,x45602))
% 27.83/28.19 [4655]~E(f328(f309(x46551),x46552),f190(f918(f918(x46551,a905),a905)))
% 27.83/28.19 [4670]~P107(f328(f328(f174(x46701),f117(x46701)),x46702))
% 27.83/28.19 [4673]~P107(f328(f328(f330(x46731),x46732),f190(f918(x46731,a905))))
% 27.83/28.19 [4674]~P107(f328(f328(f330(x46741),x46742),f190(f918(x46741,a905))))
% 27.83/28.19 [4682]~P107(f328(f328(f240(f918(x46821,a905)),x46822),f190(f918(x46821,a905))))
% 27.83/28.19 [3481]E(f328(f328(f3(a911),x34811),f328(f328(f83(a911),x34811),x34812)),f2(a911))
% 27.83/28.19 [3484]E(f328(f328(f105(f918(x34841,a905)),x34842),x34842),x34842)
% 27.83/28.19 [3485]E(f328(f328(f106(f918(x34851,a905)),x34852),x34852),x34852)
% 27.83/28.19 [3513]E(f328(f328(f3(f918(x35131,a905)),x35132),x35132),f190(f918(x35131,a905)))
% 27.83/28.19 [3516]E(f328(f145(x35161,x35162),f2(a911)),f190(f918(f917(f912(x35161),f912(x35161)),a905)))
% 27.83/28.19 [3517]E(f328(f328(f83(a911),x35171),f328(a116,x35172)),f328(a116,f328(f328(f83(a911),x35171),x35172)))
% 27.83/28.19 [3529]E(f197(f328(f104(a1),x35291),f328(f104(a1),x35292)),f328(f104(a1),f328(f328(f3(a911),x35291),x35292)))
% 27.83/28.19 [3532]E(f328(f328(f39(a1),f328(f82(a1),x35321)),x35322),f328(f328(f39(a1),x35321),f328(f82(a1),x35322)))
% 27.83/28.19 [3536]E(f328(f38(a1),f328(f303(a1,x35361),x35362)),f328(a109,f328(f328(f3(a1),x35362),x35361)))
% 27.83/28.19 [3539]E(f328(f328(f83(a911),f328(a116,x35391)),x35392),f328(a116,f328(f328(f83(a911),x35391),x35392)))
% 27.83/28.19 [3542]E(f328(f82(f918(x35421,a905)),f328(f82(f918(x35421,a905)),x35422)),x35422)
% 27.83/28.19 [3555]E(f181(x35551,f328(f328(f153(f912(x35551)),f117(x35551)),x35552)),f181(x35551,x35552))
% 27.83/28.19 [3559]E(f328(f328(f83(a911),x35591),f328(f328(f84(a911),x35591),x35592)),f328(f328(f84(a911),x35591),f328(a116,x35592)))
% 27.83/28.19 [3566]E(f328(f328(a4,f328(a5,x35661)),f328(a5,x35662)),f328(a5,f328(f328(f3(a911),x35661),x35662)))
% 27.83/28.19 [3578]E(f328(f328(f248(a1),f328(f104(a1),x35781)),x35782),f328(f104(a1),f328(f328(f248(a911),x35781),x35782)))
% 27.83/28.19 [3579]E(f328(f328(f84(a1),f328(f82(a1),x35791)),x35792),f328(f82(a1),f328(f328(f84(a1),x35791),x35792)))
% 27.83/28.19 [3580]E(f328(f328(f248(a1),f328(f104(a1),x35801)),x35802),f328(f104(a1),f328(f328(f248(a911),x35801),x35802)))
% 27.83/28.19 [3581]E(f328(f328(f248(a1),f328(f104(a1),x35811)),x35812),f328(f104(a1),f328(f328(f248(a911),x35811),x35812)))
% 27.83/28.19 [3582]E(f328(f328(f83(a103),f328(a5,x35821)),f328(a5,x35822)),f328(a5,f328(f328(f83(a911),x35821),x35822)))
% 27.83/28.19 [3583]E(f328(f328(f84(a103),f328(a5,x35831)),f328(a5,x35832)),f328(a5,f328(f328(f84(a911),x35831),x35832)))
% 27.83/28.19 [3584]E(f328(f328(f243(a911),f328(a116,x35841)),f328(a116,x35842)),f328(a116,f328(f328(f243(a911),x35841),x35842)))
% 27.83/28.19 [3585]E(f328(f328(f238(a911),f328(a116,x35851)),f328(a116,x35852)),f328(a116,f328(f328(f238(a911),x35851),x35852)))
% 27.83/28.19 [3589]E(f328(f174(a911),f141(a911,f328(f303(a911,x35891),x35892))),f328(f303(a911,x35891),x35892))
% 27.83/28.19 [3590]E(f328(f174(a911),f141(a911,f328(f303(a911,x35901),x35902))),f328(f303(a911,x35901),x35902))
% 27.83/28.19 [3591]E(f313(x35911,f328(f328(f310(x35911),x35912),f190(f918(x35911,a905)))),x35912)
% 27.83/28.19 [3595]E(f328(f286(x35951,x35952),f190(f918(f917(x35951,x35952),a905))),f190(f918(x35952,a905)))
% 27.83/28.19 [3596]E(f328(f268(x35961,x35962),f190(f918(f917(x35961,x35962),a905))),f190(f918(x35961,a905)))
% 27.83/28.19 [3600]E(f328(a109,f328(f328(f3(a1),x36001),x36002)),f328(f38(a1),f306(a1,x36002,x36001)))
% 27.83/28.19 [3605]E(f328(f328(f83(a911),x36051),f328(f328(f84(a911),x36052),x36051)),f328(f328(f84(a911),f328(a116,x36052)),x36051))
% 27.83/28.19 [3607]E(f328(f328(f63(x36071),f190(f918(x36071,a905))),x36072),f190(f918(f918(x36071,a905),a905)))
% 27.83/28.19 [3616]E(f328(f191(f912(a911)),f141(a911,f328(f303(a911,x36161),x36162))),f328(f328(f3(a911),x36162),x36161))
% 27.83/28.19 [3633]E(f328(f328(f105(f918(x36331,a905)),f190(f918(x36331,a905))),x36332),x36332)
% 27.83/28.19 [3634]E(f328(f328(f106(f918(x36341,a905)),f246(f918(x36341,a905))),x36342),x36342)
% 27.83/28.19 [3635]E(f328(f328(f84(a1),f328(f104(a1),x36351)),f328(f104(a1),x36352)),f328(f104(a1),f328(f328(f84(a911),x36351),x36352)))
% 27.83/28.19 [3636]E(f328(f328(f39(a1),f328(f104(a1),x36361)),f328(f104(a1),x36362)),f328(f104(a1),f328(f328(f39(a911),x36361),x36362)))
% 27.83/28.19 [3637]E(f328(f328(f83(a1),f328(f82(a1),x36371)),f328(f82(a1),x36372)),f328(f82(a1),f328(f328(f83(a1),x36371),x36372)))
% 27.83/28.19 [3639]E(f328(f328(f83(a1),f328(f104(a1),x36391)),f328(f104(a1),x36392)),f328(f104(a1),f328(f328(f83(a911),x36391),x36392)))
% 27.83/28.19 [3640]E(f328(f328(f83(a1),f328(f104(a1),x36401)),f328(f104(a1),x36402)),f328(f104(a1),f328(f328(f83(a911),x36401),x36402)))
% 27.83/28.19 [3641]E(f328(f328(f83(a1),f328(f108(a1),x36411)),f328(f108(a1),x36412)),f328(f108(a1),f328(f328(f83(a1),x36411),x36412)))
% 27.83/28.19 [3642]E(f328(f328(f84(a1),f328(f104(a1),x36421)),f328(f104(a1),x36422)),f328(f104(a1),f328(f328(f84(a911),x36421),x36422)))
% 27.83/28.19 [3643]E(f328(f328(f84(a1),f328(f104(a1),x36431)),f328(f104(a1),x36432)),f328(f104(a1),f328(f328(f84(a911),x36431),x36432)))
% 27.83/28.19 [3644]E(f328(f328(f84(a1),f328(f108(a1),x36441)),f328(f108(a1),x36442)),f328(f108(a1),f328(f328(f84(a1),x36441),x36442)))
% 27.83/28.19 [3645]E(f328(f328(f39(a1),f328(f104(a1),x36451)),f328(f104(a1),x36452)),f328(f104(a1),f328(f328(f39(a911),x36451),x36452)))
% 27.83/28.19 [3663]E(f328(f328(f8(x36631,a911),f328(f18(a911,x36631),f81(a911))),x36632),f328(f38(x36631),x36632))
% 27.83/28.19 [3670]E(f328(f82(a1),f48(a1,f328(f82(a1),x36701),x36702)),f48(a1,x36701,f328(f82(a1),x36702)))
% 27.83/28.19 [3672]E(f328(f174(a1),f180(x36721,f328(f328(f3(a1),x36722),f81(a1)))),f328(f303(a1,x36721),x36722))
% 27.83/28.19 [3676]P107(f328(f328(f239(a911),x36761),f328(f328(f83(a911),x36762),x36761)))
% 27.83/28.19 [3677]P107(f328(f328(f239(a911),x36771),f328(f328(f83(a911),x36771),x36772)))
% 27.83/28.19 [3680]E(f328(f328(f3(f918(x36801,a905)),f190(f918(x36801,a905))),x36802),f190(f918(x36801,a905)))
% 27.83/28.19 [3681]E(f328(f328(f105(f918(x36811,a905)),f246(f918(x36811,a905))),x36812),f246(f918(x36811,a905)))
% 27.83/28.19 [3682]E(f328(f328(f106(f918(x36821,a905)),f190(f918(x36821,a905))),x36822),f190(f918(x36821,a905)))
% 27.83/28.19 [3689]E(f328(f328(f256(a1,a1),x36891),f328(f82(a1),x36892)),f328(a54,f328(f328(f256(a1,a1),x36891),x36892)))
% 27.83/28.19 [3690]E(f328(f303(a1,f328(f328(f83(a1),x36901),f81(a1))),x36902),f307(a1,x36901,x36902))
% 27.83/28.19 [3701]E(f328(f328(f84(a911),x37011),f328(f328(f39(a911),x37012),x37011)),f328(f328(f3(a911),x37012),f48(a911,x37012,x37011)))
% 27.83/28.19 [3702]E(f328(f328(f84(a1),x37021),f328(f328(f39(a1),x37022),x37021)),f328(f328(f3(a1),x37022),f48(a1,x37022,x37021)))
% 27.83/28.19 [3706]E(f328(f174(a1),f180(f328(f328(f83(a1),x37061),f81(a1)),x37062)),f306(a1,x37061,x37062))
% 27.83/28.19 [3710]P107(f328(f328(f239(f918(x37101,a905)),x37102),x37102))
% 27.83/28.19 [3713]E(f328(f328(f105(f918(x37131,a905)),x37132),f328(f82(f918(x37131,a905)),x37132)),f246(f918(x37131,a905)))
% 27.83/28.19 [3714]E(f328(f328(f106(f918(x37141,a905)),x37142),f328(f82(f918(x37141,a905)),x37142)),f190(f918(x37141,a905)))
% 27.83/28.19 [3722]E(f328(f328(f3(a911),f328(f328(f3(a911),x37221),f81(a911))),x37222),f328(f328(f3(a911),x37221),f328(a116,x37222)))
% 27.83/28.19 [3728]E(f328(f328(f3(f918(x37281,a905)),f246(f918(x37281,a905))),x37282),f328(f82(f918(x37281,a905)),x37282))
% 27.83/28.19 [3729]E(f328(f328(f3(a1),f328(f108(a1),x37291)),f328(f108(a1),x37292)),f328(f108(a1),f328(f328(f83(a1),x37291),f328(f82(a1),x37292))))
% 27.83/28.19 [3742]E(f328(f174(a911),f141(a911,f328(f303(a911,x37421),f328(a116,x37422)))),f304(a911,x37421,x37422))
% 27.83/28.19 [3757]E(f328(f191(f912(f912(x37571))),f57(x37571,x37572)),f328(f328(f248(a911),f328(a116,f328(a116,f2(a911)))),f328(f191(f912(x37571)),x37572)))
% 27.83/28.19 [3776]E(f328(f328(f185(f917(x37761,x37761),a905),f2(a911)),x37762),f308(x37761,f190(f918(f917(x37761,x37761),a905))))
% 27.83/28.19 [3780]P107(f328(f139(a911),f141(a911,f328(f303(a911,x37801),x37802))))
% 27.83/28.19 [3797]E(f328(f311(a1,a911,a109),f304(a1,f328(f104(a1),x37971),f328(f104(a1),x37972))),f304(a911,x37971,x37972))
% 27.83/28.19 [3806]E(f187(a911,f2(a911),f7(a911),f328(f328(f3(a911),x38061),x38062)),f328(f328(f3(a911),x38061),f328(a116,x38062)))
% 27.83/28.19 [3807]E(f328(a109,f328(f328(f3(a1),x38071),f328(f328(f83(a1),x38072),f81(a1)))),f328(f38(a1),f307(a1,x38072,x38071)))
% 27.83/28.19 [3843]E(f328(f328(f156(a911,a911),a116),f141(a911,f328(f303(a911,x38431),x38432))),f141(a911,f328(f303(a911,f328(a116,x38431)),f328(a116,x38432))))
% 27.83/28.19 [3851]E(f328(f174(a1),f180(f328(f328(f83(a1),x38511),f81(a1)),f328(f328(f3(a1),x38512),f81(a1)))),f307(a1,x38511,x38512))
% 27.83/28.19 [3865]P107(f328(f328(f239(f918(x38651,a905)),f190(f918(x38651,a905))),x38652))
% 27.83/28.19 [3869]E(f88(x38691,f328(f328(f9(x38691,x38691,a905),a325),x38692)),x38692)
% 27.83/28.19 [3870]E(f93(x38701,f328(f328(f9(x38701,x38701,a905),a325),x38702)),x38702)
% 27.83/28.19 [3874]E(f328(f174(a911),f141(a911,f328(f303(a911,f328(a116,x38741)),f328(a116,x38742)))),f306(a911,x38741,x38742))
% 27.83/28.19 [3900]E(f328(f328(f258(x39001,x39002),f246(f918(x39001,a905))),f328(f18(f918(x39002,a905),x39001),f246(f918(x39002,a905)))),f246(f918(f917(x39001,x39002),a905)))
% 27.83/28.19 [3935]E(f328(f266(x39351),f328(f328(f10(a905,a905,x39351),a323),x39352)),f328(f82(f918(x39351,a905)),f328(f266(x39351),x39352)))
% 27.83/28.19 [3938]E(f328(f266(x39381),f328(f328(f9(x39381,x39381,a905),a325),x39382)),f328(f328(f310(x39381),x39382),f190(f918(x39381,a905))))
% 27.83/28.19 [3945]E(f328(f328(f83(a1),f328(f328(f83(a1),x39451),x39451)),f328(f328(f83(a1),x39452),x39452)),f328(f328(f83(a1),f328(f328(f83(a1),x39451),x39452)),f328(f328(f83(a1),x39451),x39452)))
% 27.83/28.19 [3946]E(f328(f328(f3(a1),f328(f328(f83(a1),x39461),x39461)),f328(f328(f83(a1),x39462),x39462)),f328(f328(f83(a1),f328(f328(f3(a1),x39461),x39462)),f328(f328(f3(a1),x39461),x39462)))
% 27.83/28.19 [3961]P107(f328(f328(f239(a911),f328(f38(x39611),f328(f174(x39611),x39612))),f328(f191(f912(x39611)),x39612)))
% 27.83/28.19 [3962]P107(f328(f328(f239(a911),f328(f191(f912(x39621)),f154(x39621,x39622))),f328(f191(f912(x39621)),x39622)))
% 27.83/28.19 [3973]E(f328(f266(x39731),f328(f328(f9(x39731,f918(x39731,a905),a905),f330(x39731)),x39732)),x39732)
% 27.83/28.19 [3989]E(f328(f328(f177(x39891),f328(f328(f3(a911),f328(f191(f912(x39891)),x39892)),f81(a911))),x39892),f118(x39891,x39892))
% 27.83/28.19 [4010]E(f187(a911,f2(a911),f328(f328(f10(a911,a911,a911),a116),f328(f243(a911),x40101)),x40102),f328(f328(f243(a911),f328(a116,x40101)),x40102))
% 27.83/28.19 [4015]E(f40(f918(x40151,a905),f328(f311(f918(f917(x40151,x40151),a905),f918(x40151,a905),f283(x40151)),x40152)),f328(f283(x40151),f40(f918(f917(x40151,x40151),a905),x40152)))
% 27.83/28.19 [4016]E(f187(a911,f328(a116,x40161),f328(f328(f10(a911,a911,a911),a116),f328(f238(a911),x40161)),x40162),f328(f328(f238(a911),f328(a116,x40161)),x40162))
% 27.83/28.19 [4018]E(f328(f328(f256(a1,a1),f328(f328(f39(a1),f328(f79(a1),x40181)),f328(f79(a1),x40182))),f48(a1,f328(f79(a1),x40181),f328(f79(a1),x40182))),f56(x40181,x40182))
% 27.83/28.19 [4040]P107(f328(f328(f239(f918(f918(x40401,a905),a905)),x40402),f328(f309(x40401),f40(f918(x40401,a905),x40402))))
% 27.83/28.19 [4072]E(f328(f328(f42(x40721,f918(x40721,a905)),x40722),f328(f328(f9(x40721,f918(x40721,a905),f918(x40721,a905)),f310(x40721)),f190(f918(x40721,a905)))),x40722)
% 27.83/28.19 [4073]E(f328(f328(f290(x40731,x40731,x40731),f328(f288(x40731,x40731),x40732)),f308(x40731,f328(f288(x40731,x40731),x40732))),f328(f288(x40731,x40731),f328(f328(f290(x40731,x40731,x40731),x40732),f308(x40731,x40732))))
% 27.83/28.19 [4137]E(f328(f174(x41371),f328(f144(f912(x41371),f912(x41371),f136(x41371),f117(x41371)),x41372)),f328(f328(f42(f912(x41371),f918(x41371,a905)),f328(f174(f912(x41371)),x41372)),f174(x41371)))
% 27.83/28.19 [4168]E(f328(f328(f105(f918(f917(x41681,x41681),a905)),f308(x41681,f190(f918(f917(x41681,x41681),a905)))),f328(f328(f290(x41681,x41681,x41681),f308(x41681,x41682)),x41682)),f308(x41681,x41682))
% 27.83/28.19 [4204]E(f328(f328(f183(x42041,x42041),x42042),x42042),f328(f328(f156(x42041,f917(x42041,x42041)),f328(f328(f20(x42041,x42041,f917(x42041,x42041)),f256(x42041,x42041)),f7(x42041))),x42042))
% 27.83/28.19 [4316]E(f328(f144(a911,f912(x43161),f328(f9(f912(x43161),a911,a911),f328(f328(f10(a911,f918(a911,a911),f912(x43161)),f238(a911)),f191(f912(x43161)))),f2(a911)),f328(f170(f912(x43161)),x43162)),f328(f191(f912(f912(x43161))),f181(x43161,x43162)))
% 27.83/28.19 [4388]E(f328(f328(f289(f917(a911,f912(x43881)),f912(x43881)),f320(a911,f912(x43881),a244,f147(x43881,x43882))),f328(f328(f20(f912(x43881),f912(x43881),f917(a911,f912(x43881))),f328(f328(f10(a911,f918(f912(x43881),f917(a911,f912(x43881))),f912(x43881)),f256(a911,f912(x43881))),f191(f912(x43881)))),f7(f912(x43881)))),f148(x43881,x43882))
% 27.83/28.19 [4515]E(f328(f266(x45151),f328(f328(f10(f918(f918(x45151,a905),a905),a905,x45151),f90(f918(x45151,a905))),f328(f328(f10(f918(f918(x45151,a905),a905),f918(f918(x45151,a905),a905),x45151),f328(f20(f918(x45151,a905),a905,a905),f328(f328(f10(a905,f918(a905,a905),f918(x45151,a905)),a326),f328(f328(f9(f918(x45151,a905),f918(f918(x45151,a905),a905),a905),f330(f918(x45151,a905))),x45152)))),f330(x45151)))),f40(f918(x45151,a905),x45152))
% 27.83/28.19 [4516]E(f328(f266(x45161),f328(f328(f10(f918(f918(x45161,a905),a905),a905,x45161),f91(f918(x45161,a905))),f328(f328(f10(f918(f918(x45161,a905),a905),f918(f918(x45161,a905),a905),x45161),f328(f20(f918(x45161,a905),a905,a905),f328(f328(f10(a905,f918(a905,a905),f918(x45161,a905)),a331),f328(f328(f9(f918(x45161,a905),f918(f918(x45161,a905),a905),a905),f330(f918(x45161,a905))),x45162)))),f330(x45161)))),f41(f918(x45161,a905),x45162))
% 27.83/28.19 [4683]~P107(f328(f328(f240(a1),f328(f104(a1),x46831)),f328(f82(a1),f328(f104(a1),x46832))))
% 27.83/28.19 [3603]E(f328(f328(f3(a911),f328(f328(f83(a911),x36031),x36032)),x36032),x36031)
% 27.83/28.19 [3604]E(f328(f328(f3(a911),f328(f328(f83(a911),x36041),x36042)),x36041),x36042)
% 27.83/28.19 [3671]E(f328(f328(f83(a911),f328(f328(f3(a911),x36711),x36712)),x36712),f328(f328(f238(a911),x36711),x36712))
% 27.83/28.19 [3783]E(f328(f328(f84(a911),f328(f328(f39(a911),x37831),x37832)),x37832),f328(f328(f3(a911),x37831),f48(a911,x37831,x37832)))
% 27.83/28.19 [3811]E(f328(f174(a911),f141(a911,f328(f303(a911,f328(a116,x38111)),x38112))),f307(a911,x38111,x38112))
% 27.83/28.19 [3819]E(f328(f104(a1),f220(f328(a109,f328(f79(a1),x38191)),f328(a109,f328(f79(a1),x38192)))),f328(f328(a221,x38191),x38192))
% 27.83/28.19 [3821]E(f328(f328(f105(f918(x38211,a905)),f328(f82(f918(x38211,a905)),x38212)),x38212),f246(f918(x38211,a905)))
% 27.83/28.19 [3822]E(f328(f328(f106(f918(x38221,a905)),f328(f82(f918(x38221,a905)),x38222)),x38222),f190(f918(x38221,a905)))
% 27.83/28.19 [3839]P107(f328(f328(f239(a911),f328(f328(f39(a911),x38391),x38392)),x38391))
% 27.83/28.19 [3840]P107(f328(f328(f239(a911),f328(f328(f3(a911),x38401),x38402)),x38401))
% 27.83/28.19 [3866]P107(f328(f328(f240(a911),x38661),f328(a116,f328(f328(f83(a911),x38662),x38661))))
% 27.83/28.19 [3867]P107(f328(f328(f240(a911),x38671),f328(a116,f328(f328(f83(a911),x38671),x38672))))
% 27.83/28.19 [3884]E(f328(f328(f84(a911),f328(a109,f328(f79(a1),x38841))),f328(a109,f328(f79(a1),x38842))),f328(a109,f328(f79(a1),f328(f328(f84(a1),x38841),x38842))))
% 27.83/28.19 [3893]E(f328(f328(f83(a1),f328(f328(f84(a1),x38931),x38932)),f328(f328(f84(a1),x38931),x38932)),f328(f328(f84(a1),f328(f328(f83(a1),x38931),x38931)),x38932))
% 27.83/28.19 [3896]P107(f328(f328(f239(a1),f2(a1)),f328(f328(f248(a1),f328(f79(a1),x38961)),x38962)))
% 27.83/28.19 [3966]E(f328(f287(f912(x39661),f912(x39661),f160(x39661,x39662)),f328(f328(f310(f912(x39661)),f117(x39661)),f190(f918(f912(x39661),a905)))),f328(f328(f310(f912(x39661)),f117(x39661)),f190(f918(f912(x39661),a905))))
% 27.83/28.19 [3985]E(f328(f328(f105(f918(f917(x39851,x39851),a905)),f308(x39851,x39852)),f308(x39851,f190(f918(f917(x39851,x39851),a905)))),f308(x39851,x39852))
% 27.83/28.19 [4000]E(f328(f328(f39(a1),f328(f108(a1),f328(f328(f83(a1),x40001),x40001))),f328(f108(a1),f328(f328(f83(a1),x40002),x40002))),f328(f328(f39(a1),f328(f108(a1),x40001)),f328(f108(a1),x40002)))
% 27.83/28.19 [4062]E(f328(f328(f248(a1),x40621),f328(f108(a911),f328(f328(f83(a1),x40622),x40622))),f328(f328(f89(a1,a1),f328(f328(f248(a1),x40621),f328(f108(a911),x40622))),f328(f328(f20(a1,a1,a1),f84(a1)),f7(a1))))
% 27.83/28.19 [4068]E(f328(f266(f918(x40681,a905)),f328(f328(f9(f918(x40681,a905),f918(x40681,a905),a905),f239(f918(x40681,a905))),x40682)),f328(f309(x40681),x40682))
% 27.83/28.19 [4083]E(f328(f328(f156(a1,a911),a109),f328(f328(f136(a1),f328(f328(f156(a911,a1),f104(a1)),x40831)),f328(f328(f156(a911,a1),f104(a1)),x40832))),f328(f328(f136(a911),x40831),x40832))
% 27.83/28.19 [4115]E(f328(f311(a1,a1,f328(f328(f9(a1,a1,a1),f83(a1)),x41151)),f328(f303(a1,f2(a1)),f328(f328(f3(a1),x41152),x41151))),f328(f303(a1,x41151),x41152))
% 27.83/28.19 [4117]P60(x41171,f328(f328(f3(f918(f917(x41171,x41171),a905)),x41172),f308(x41171,f190(f918(f917(x41171,x41171),a905)))))
% 27.83/28.19 [4135]E(f328(f191(f912(x41351)),f328(f144(f912(x41351),f912(x41351),f136(x41351),f117(x41351)),x41352)),f328(f167(a911),f328(f328(f156(f912(x41351),a911),f191(f912(x41351))),x41352)))
% 27.83/28.19 [4139]P59(x41391,f246(f918(x41391,a905)),f328(f328(f105(f918(f917(x41391,x41391),a905)),x41392),f308(x41391,f190(f918(f917(x41391,x41391),a905)))))
% 27.83/28.19 [4178]P107(f328(f328(f330(f917(x41781,x41781)),f328(f328(f256(x41781,x41781),x41782),x41782)),f308(x41781,f190(f918(f917(x41781,x41781),a905)))))
% 27.83/28.19 [4184]E(f187(a911,f2(a911),f328(f328(f10(a911,a911,a911),a116),f328(f328(f9(a911,a911,a911),f243(a911)),x41841)),x41842),f328(f328(f243(a911),x41842),f328(a116,x41841)))
% 27.83/28.19 [4187]E(f187(a911,f328(a116,x41871),f328(f328(f10(a911,a911,a911),a116),f328(f328(f9(a911,a911,a911),f238(a911)),x41871)),x41872),f328(f328(f238(a911),x41872),f328(a116,x41871)))
% 27.83/28.19 [4190]E(f328(f311(x41901,f912(x41901),f328(f328(f9(x41901,f912(x41901),f912(x41901)),f153(x41901)),f117(x41901))),x41902),f176(x41901,x41902,f328(f328(f310(f912(x41901)),f117(x41901)),f190(f918(f912(x41901),a905)))))
% 27.83/28.19 [4192]E(f328(f328(f105(f918(f917(x41921,x41921),a905)),f328(f328(f290(x41921,x41921,x41921),x41922),f308(x41921,x41922))),f308(x41921,f190(f918(f917(x41921,x41921),a905)))),f308(x41921,x41922))
% 27.83/28.19 [4199]P107(f328(f328(f239(f918(f917(x41991,x41991),a905)),f267(x41991,x41992)),f328(f328(f258(x41991,x41991),x41992),f328(f18(f918(x41991,a905),x41991),x41992))))
% 27.83/28.19 [4202]E(f328(f311(a1,a911,a109),f328(f328(f105(f918(a1,a905)),f328(f311(a911,a1,f104(a1)),x42021)),f328(f311(a911,a1,f104(a1)),x42022))),f328(f328(f105(f918(a911,a905)),x42021),x42022))
% 27.83/28.19 [4203]E(f328(f311(a1,a911,a109),f328(f328(f106(f918(a1,a905)),f328(f311(a911,a1,f104(a1)),x42031)),f328(f311(a911,a1,f104(a1)),x42032))),f328(f328(f106(f918(a911,a905)),x42031),x42032))
% 27.83/28.19 [4206]E(f328(f266(x42061),f328(f328(f10(a905,a905,x42061),a323),f328(f328(f9(x42061,f918(x42061,a905),a905),f330(x42061)),x42062))),f328(f82(f918(x42061,a905)),x42062))
% 27.83/28.19 [4233]E(f328(f144(f912(x42331),f912(x42331),f136(x42331),f117(x42331)),f328(f328(f156(f912(x42331),f912(x42331)),f170(x42331)),f328(f170(f912(x42331)),x42332))),f328(f170(x42331),f328(f144(f912(x42331),f912(x42331),f136(x42331),f117(x42331)),x42332)))
% 27.83/28.19 [4260]E(f328(f328(f42(a911,f918(f917(x42601,x42601),a905)),f246(f918(a911,a905))),f328(f328(f9(a911,f918(f917(x42601,x42601),a905),f918(f917(x42601,x42601),a905)),f185(f917(x42601,x42601),a905)),x42602)),f308(x42601,x42602))
% 27.83/28.19 [4278]E(f88(x42781,f328(f328(f10(f918(x42781,a905),a905,x42781),f328(a325,x42782)),f328(f328(f9(x42781,f918(x42781,a905),f918(x42781,a905)),f310(x42781)),f190(f918(x42781,a905))))),f313(x42781,x42782))
% 27.83/28.19 [4286]E(f328(f191(f912(x42861)),f154(x42861,f328(f144(f912(x42861),f912(x42861),f136(x42861),f117(x42861)),x42862))),f328(f38(x42861),f328(f328(f42(f912(x42861),f918(x42861,a905)),f328(f174(f912(x42861)),x42862)),f174(x42861))))
% 27.83/28.19 [4300]E(f328(f328(f105(f918(f917(x43001,x43001),a905)),x43002),f328(f328(f290(x43001,x43001,x43001),f328(f328(f290(x43001,x43001,x43001),x43002),f308(x43001,x43002))),x43002)),f328(f328(f290(x43001,x43001,x43001),x43002),f308(x43001,x43002)))
% 27.83/28.19 [4324]P107(f328(f328(f239(f918(f917(x43241,x43241),a905)),f328(f328(f290(x43241,x43241,x43241),x43242),f308(x43241,x43242))),f328(f328(f258(x43241,x43241),f328(f283(x43241),x43242)),f328(f18(f918(x43241,a905),x43241),f328(f283(x43241),x43242)))))
% 27.83/28.19 [4365]E(f328(f266(f912(x43651)),f328(f328(f9(f912(x43651),f918(x43651,a905),a905),f328(f328(f10(f918(x43651,a905),f918(f918(x43651,a905),a905),f912(x43651)),f239(f918(x43651,a905))),f174(x43651))),x43652)),f163(x43651,x43652))
% 27.83/28.19 [4376]E(f328(f158(f912(x43761),x43761,f117(x43761),f328(f328(f10(f912(x43761),f918(f912(x43761),f912(x43761)),x43761),f328(f9(f912(x43761),f912(x43761),f912(x43761)),f136(x43761))),f328(f328(f9(x43761,f912(x43761),f912(x43761)),f153(x43761)),f117(x43761)))),x43762),f328(f169(x43761),x43762))
% 27.83/28.19 [4416]P30(f918(x44161,x44162),f918(f917(x44161,x44162),a905),f328(f328(f10(f918(f917(x44161,x44162),a905),f918(f917(x44161,x44162),a905),f918(x44161,x44162)),f266(f917(x44161,x44162))),f328(f328(f10(f918(x44161,f918(x44162,a905)),f918(f917(x44161,x44162),a905),f918(x44161,x44162)),f261(x44161,x44162,a905)),f328(f10(x44162,f918(x44162,a905),x44161),f328(f9(x44162,x44162,a905),a325)))),f246(f918(f918(x44161,x44162),a905)))
% 27.83/28.19 [4421]E(f48(a1,f328(f108(a1),f328(f328(f83(a1),x44211),x44211)),f328(f108(a1),f328(f328(f83(a1),x44212),x44212))),f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f48(a1,f328(f108(a1),x44211),f328(f108(a1),x44212))))
% 27.83/28.19 [4465]E(f328(f328(f42(x44651,f918(f917(x44651,x44651),a905)),x44652),f328(f328(f9(x44651,f918(f917(x44651,x44651),a905),f918(f917(x44651,x44651),a905)),f328(f328(f10(f917(x44651,x44651),f918(f918(f917(x44651,x44651),a905),f918(f917(x44651,x44651),a905)),x44651),f310(f917(x44651,x44651))),f328(f328(f20(x44651,x44651,f917(x44651,x44651)),f256(x44651,x44651)),f7(x44651)))),f190(f918(f917(x44651,x44651),a905)))),f267(x44651,x44652))
% 27.83/28.19 [4473]E(f206(x44731,f328(f328(f256(a1,a1),f328(f82(a1),f328(f328(f76(f917(a1,a1),a1,x44731,f255(a1,a1)),f216(x44731)),x44732))),f328(f328(f76(f917(a1,a1),a1,x44731,f260(a1,a1)),f216(x44731)),x44732))),f231(x44731,x44732))
% 27.83/28.19 [4556]E(f328(f266(f918(x45561,a905)),f328(f328(f10(f918(f918(x45561,a905),a905),a905,f918(x45561,a905)),f90(f918(x45561,a905))),f328(f328(f9(f918(x45561,a905),f918(f918(x45561,a905),a905),f918(f918(x45561,a905),a905)),f328(f328(f10(f918(f918(x45561,a905),f918(a905,a905)),f918(f918(f918(x45561,a905),a905),f918(f918(x45561,a905),a905)),f918(x45561,a905)),f20(f918(x45561,a905),a905,a905)),f328(f328(f10(f918(f918(x45561,a905),a905),f918(f918(x45561,a905),f918(a905,a905)),f918(x45561,a905)),f328(f10(a905,f918(a905,a905),f918(x45561,a905)),a326)),f328(f328(f9(f918(x45561,a905),f918(f918(x45561,a905),f918(x45561,a905)),f918(f918(x45561,a905),a905)),f328(f328(f10(f918(f918(x45561,a905),a905),f918(f918(f918(x45561,a905),f918(x45561,a905)),f918(f918(x45561,a905),a905)),f918(x45561,a905)),f10(f918(x45561,a905),a905,f918(x45561,a905))),a325)),f82(f918(x45561,a905)))))),f328(f328(f10(f918(f918(x45561,a905),a905),a905,f918(x45561,a905)),f328(f330(f918(x45561,a905)),x45562)),f309(x45561))))),f328(f309(x45561),f328(f82(f918(x45561,a905)),x45562)))
% 27.83/28.19 [4680]~E(f328(f328(f83(a1),x46801),x46801),f328(f328(f3(a1),f328(f328(f83(a1),x46802),x46802)),a101))
% 27.83/28.19 [4681]~E(f328(f328(f83(a1),x46811),x46811),f328(f328(f3(a1),f328(f328(f83(a1),x46812),x46812)),a101))
% 27.83/28.19 [4685]~P107(f328(f328(f240(a911),f328(f328(f83(a911),x46851),x46852)),x46852))
% 27.83/28.19 [4686]~P107(f328(f328(f240(a911),f328(f328(f83(a911),x46861),x46862)),x46861))
% 27.83/28.19 [3901]E(f328(f328(f3(a911),x39011),f328(f328(f84(a911),f328(f328(f39(a911),x39011),x39012)),x39012)),f48(a911,x39011,x39012))
% 27.83/28.19 [3902]E(f328(f328(f3(a1),x39021),f328(f328(f84(a1),f328(f328(f39(a1),x39021),x39022)),x39022)),f48(a1,x39021,x39022))
% 27.83/28.19 [3936]E(f328(f328(f156(a911,x39361),f328(f166(x39361),x39362)),f141(a911,f328(f303(a911,f2(a911)),f328(f191(f912(x39361)),x39362)))),x39362)
% 27.83/28.19 [3996]E(f328(f287(x39961,x39961,f308(x39961,f190(f918(f917(x39961,x39961),a905)))),x39962),x39962)
% 27.83/28.19 [4120]E(f308(x41201,f328(f328(f3(f918(f917(x41201,x41201),a905)),x41202),f308(x41201,f190(f918(f917(x41201,x41201),a905))))),f308(x41201,x41202))
% 27.83/28.19 [4121]E(f308(x41211,f328(f328(f105(f918(f917(x41211,x41211),a905)),x41212),f308(x41211,f190(f918(f917(x41211,x41211),a905))))),f308(x41211,x41212))
% 27.83/28.19 [4171]E(f328(f328(f3(a1),f328(f328(f3(a1),f328(f328(f83(a1),x41711),x41711)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),x41712),x41712)),a101)),f328(f328(f83(a1),f328(f328(f3(a1),x41711),x41712)),f328(f328(f3(a1),x41711),x41712)))
% 27.83/28.19 [4211]E(f328(f328(f3(a1),f328(f328(f83(a1),f328(f328(f83(a1),x42111),x42112)),f328(f328(f83(a1),x42111),x42112))),a101),f328(f328(f83(a1),f328(f328(f83(a1),x42111),x42111)),f328(f328(f3(a1),f328(f328(f83(a1),x42112),x42112)),a101)))
% 27.83/28.19 [4237]E(f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),x42371),x42371)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),x42372),x42372)),a101)),f328(f328(f83(a1),f328(f328(f83(a1),x42371),f328(f328(f3(a1),x42372),a101))),f328(f328(f83(a1),x42371),f328(f328(f3(a1),x42372),a101))))
% 27.83/28.19 [4248]E(f328(f328(f3(a1),f328(f328(f83(a1),f328(f328(f83(a1),x42481),x42482)),f328(f328(f83(a1),x42481),x42482))),a101),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),x42481),x42481)),a101)),f328(f328(f83(a1),x42482),x42482)))
% 27.83/28.19 [4249]E(f328(f328(f3(a1),f328(f328(f83(a1),f328(f328(f3(a1),x42491),x42492)),f328(f328(f3(a1),x42491),x42492))),a101),f328(f328(f3(a1),f328(f328(f3(a1),f328(f328(f83(a1),x42491),x42491)),a101)),f328(f328(f83(a1),x42492),x42492)))
% 27.83/28.19 [4297]E(f328(f104(a1),f328(f328(f39(a911),f328(f328(f84(a911),f328(a109,f328(f79(a1),x42971))),f328(a109,f328(f79(a1),x42972)))),f220(f328(a109,f328(f79(a1),x42971)),f328(a109,f328(f79(a1),x42972))))),f222(x42971,x42972))
% 27.83/28.19 [4342]E(f328(f328(f263(f917(a103,a103),a103,f917(a103,a103),f917(x43421,f917(a103,a103))),f271(f328(a5,f328(f191(f912(x43421)),x43422)))),f328(f328(f10(x43421,f918(f917(a103,a103),f917(x43421,f917(a103,a103))),a103),f256(x43421,f917(a103,a103))),f328(f328(f10(a911,x43421,a103),f328(f166(x43421),x43422)),a22))),f277(x43421,x43422))
% 27.83/28.19 [4422]E(f328(f144(a911,f912(x44221),f328(f9(f912(x44221),a911,a911),f328(f328(f10(a911,f918(a911,a911),f912(x44221)),f238(a911)),f191(f912(x44221)))),f2(a911)),f328(f170(f912(x44221)),f181(x44221,x44222))),f328(f191(f912(f912(x44221))),f328(f138(f912(x44221),f328(f328(f10(a905,a905,f912(x44221)),a323),f328(f328(f9(f912(x44221),f912(x44221),a905),a325),f117(x44221)))),x44222)))
% 27.83/28.19 [4428]E(f328(f328(f42(a911,f918(x44281,a905)),f246(f918(a911,a905))),f328(f328(f9(a911,f918(a911,f918(x44281,a905)),f918(x44281,a905)),f328(f328(f10(f918(a911,a905),f918(f918(a911,f918(x44281,a905)),f918(x44281,a905)),a911),f42(a911,f918(x44281,a905))),f303(a911,f2(a911)))),x44282)),f328(f328(f42(a911,f918(x44281,a905)),f246(f918(a911,a905))),x44282))
% 27.83/28.19 [4450]P107(f328(f64(a911),f328(f266(a911),f328(f328(f20(a911,a905,a905),f328(f328(f10(a905,f918(a905,a905),a911),a326),x44501)),f328(f328(f9(a911,a911,a905),f240(a911)),x44502)))))
% 27.83/28.19 [4565]E(f328(f266(f917(f912(x45651),f912(x45651))),f328(f261(f912(x45651),f912(x45651),a905),f328(f328(f20(f912(x45651),f918(f912(x45651),a905),f918(f912(x45651),a905)),f328(f328(f10(f918(f912(x45651),f918(a905,a905)),f918(f918(f912(x45651),a905),f918(f912(x45651),a905)),f912(x45651)),f20(f912(x45651),a905,a905)),f328(f328(f10(f918(f912(x45651),a905),f918(f912(x45651),f918(a905,a905)),f912(x45651)),f328(f10(a905,f918(a905,a905),f912(x45651)),a327)),f328(f328(f9(f912(x45651),f918(f912(x45651),a911),f918(f912(x45651),a905)),f328(f328(f10(f918(a911,a905),f918(f918(f912(x45651),a911),f918(f912(x45651),a905)),f912(x45651)),f10(a911,a905,f912(x45651))),f328(f328(f10(a911,f918(a911,a905),f912(x45651)),f240(a911)),f191(f912(x45651))))),f191(f912(x45651)))))),f328(f328(f20(f912(x45651),f918(f912(x45651),a905),f918(f912(x45651),a905)),f328(f328(f10(f918(f912(x45651),f918(a905,a905)),f918(f918(f912(x45651),a905),f918(f912(x45651),a905)),f912(x45651)),f20(f912(x45651),a905,a905)),f328(f328(f10(f918(f912(x45651),a905),f918(f912(x45651),f918(a905,a905)),f912(x45651)),f328(f10(a905,f918(a905,a905),f912(x45651)),a326)),f328(f328(f9(f912(x45651),f918(f912(x45651),a911),f918(f912(x45651),a905)),f328(f328(f10(f918(a911,a905),f918(f918(f912(x45651),a911),f918(f912(x45651),a905)),f912(x45651)),f10(a911,a905,f912(x45651))),f328(f328(f10(a911,f918(a911,a905),f912(x45651)),a325),f191(f912(x45651))))),f191(f912(x45651)))))),f328(f328(f9(f912(x45651),f918(f917(f912(x45651),f912(x45651)),a905),f918(f912(x45651),a905)),f328(f328(f10(f918(f912(x45651),f918(f918(f917(f912(x45651),f912(x45651)),a905),a905)),f918(f918(f917(f912(x45651),f912(x45651)),a905),f918(f912(x45651),a905)),f912(x45651)),f9(f912(x45651),f918(f917(f912(x45651),f912(x45651)),a905),a905)),f328(f328(f10(f918(f912(x45651),f917(f912(x45651),f912(x45651))),f918(f912(x45651),f918(f918(f917(f912(x45651),f912(x45651)),a905),a905)),f912(x45651)),f328(f10(f917(f912(x45651),f912(x45651)),f918(f918(f917(f912(x45651),f912(x45651)),a905),a905),f912(x45651)),f330(f917(f912(x45651),f912(x45651))))),f256(f912(x45651),f912(x45651))))),f147(x45651,x45652)))))),f148(x45651,x45652))
% 27.83/28.19 [4240]E(f328(f328(f83(a1),f328(f328(f83(a1),f328(f328(f84(a1),x42401),x42402)),f328(f328(f84(a1),x42401),x42402))),x42402),f328(f328(f84(a1),f328(f328(f3(a1),f328(f328(f83(a1),x42401),x42401)),a101)),x42402))
% 27.83/28.19 [4341]E(f328(a109,f328(a92,f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),f328(f328(f256(a911,a911),x43411),x43412)),f190(f918(f917(a911,a911),a905)))))),f328(f328(f3(a911),x43411),x43412))
% 27.83/28.19 [4345]E(f328(f328(f290(x43451,x43451,x43451),f328(f328(f105(f918(f917(x43451,x43451),a905)),x43452),f308(x43451,f190(f918(f917(x43451,x43451),a905))))),f308(x43451,f328(f328(f105(f918(f917(x43451,x43451),a905)),x43452),f308(x43451,f190(f918(f917(x43451,x43451),a905)))))),f308(x43451,x43452))
% 27.83/28.19 [4382]E(f272(x43821,f328(f138(f917(a103,x43821),f328(f261(a103,x43821,a905),f328(f328(f10(a905,f918(x43821,a905),a103),f18(a905,x43821)),f328(f240(a103),f2(a103))))),x43822)),f272(x43821,x43822))
% 27.83/28.19 [4383]E(f270(x43831,f328(f138(f917(a103,x43831),f328(f261(a103,x43831,a905),f328(f328(f10(a905,f918(x43831,a905),a103),f18(a905,x43831)),f328(f240(a103),f2(a103))))),x43832)),f270(x43831,x43832))
% 27.83/28.19 [4385]E(f328(f82(a1),f328(a92,f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),f328(f328(f256(a911,a911),x43851),x43852)),f190(f918(f917(a911,a911),a905)))))),f328(a92,f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),f328(f328(f256(a911,a911),x43852),x43851)),f190(f918(f917(a911,a911),a905))))))
% 27.83/28.19 [4441]E(f328(f328(f289(f912(a911),x44411),f147(a911,a244)),f328(f328(f9(x44411,f912(f918(x44411,a911)),f912(a911)),f328(f328(f10(f918(f918(x44411,a911),a911),f918(f912(f918(x44411,a911)),f912(a911)),x44411),f156(f918(x44411,a911),a911)),f328(f9(f918(x44411,a911),x44411,a911),f7(f918(x44411,a911))))),x44412)),f155(x44411,x44412))
% 27.83/28.19 [4462]E(f328(f328(f89(a1,a911),f328(f108(a1),f328(f328(f83(a1),x44621),a101))),f328(f328(f20(a1,a911,a911),f328(f328(f9(a1,a911,f918(a911,a911)),f328(f328(f10(a905,f918(a911,f918(a911,a911)),a1),f100(a911)),a195)),f2(a911))),f328(f328(f10(a911,a911,a1),a116),f328(f328(f10(a911,a911,a1),f328(f243(a911),x44622)),a109)))),f328(f328(f243(a911),f328(a116,x44622)),f328(f108(a911),x44621)))
% 27.83/28.19 [4463]E(f328(f328(f89(a1,a911),f328(f108(a1),f328(f328(f83(a1),x44631),a101))),f328(f328(f20(a1,a911,a911),f328(f328(f9(a1,a911,f918(a911,a911)),f328(f328(f10(a905,f918(a911,f918(a911,a911)),a1),f100(a911)),a195)),f328(a116,x44632))),f328(f328(f10(a911,a911,a1),a116),f328(f328(f10(a911,a911,a1),f328(f238(a911),x44632)),a109)))),f328(f328(f238(a911),f328(a116,x44632)),f328(f108(a911),x44631)))
% 27.83/28.19 [4483]E(f328(f144(f912(x44831),f912(x44831),f136(x44831),f117(x44831)),f328(f328(f156(f912(x44831),f912(x44831)),f158(f912(x44831),x44831,f117(x44831),f328(f328(f10(f912(x44831),f918(f912(x44831),f912(x44831)),x44831),f18(f912(x44831),f912(x44831))),f328(f328(f9(x44831,f912(x44831),f912(x44831)),f153(x44831)),f117(x44831))))),x44832)),f328(f328(f156(f912(x44831),x44831),f143(x44831)),f328(f138(f912(x44831),f328(f328(f10(a905,a905,f912(x44831)),a323),f328(f328(f9(f912(x44831),f912(x44831),a905),a325),f117(x44831)))),x44832)))
% 27.83/28.19 [4545]E(f328(f261(a1,a1,a905),f328(f328(f9(a1,f918(a1,a905),f918(a1,a905)),f328(f328(f10(f918(a1,f918(a905,a905)),f918(f918(a1,a905),f918(a1,a905)),a1),f20(a1,a905,a905)),f328(f328(f10(f918(a1,a905),f918(a1,f918(a905,a905)),a1),f328(f10(a905,f918(a905,a905),a1),a326)),f328(f328(f10(f918(a1,a1),f918(a1,a905),a1),f328(f10(a1,a905,a1),f328(a325,x45451))),f328(f328(f10(a1,f918(a1,a1),a1),f83(a1)),f328(f84(a1),x45452)))))),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a326),f328(f328(f10(a905,a905,a1),f328(a331,f328(f328(f240(a1),f2(a1)),x45452))),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a326),f328(f239(a1),f2(a1)))),f328(f328(f9(a1,a1,a905),f240(a1)),x45452))))),f328(f328(f10(a905,a905,a1),f328(a331,f328(a323,f328(f328(f240(a1),f2(a1)),x45452)))),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a326),f328(f240(a1),x45452))),f328(f328(f9(a1,a1,a905),f239(a1)),f2(a1))))))),f52(x45451,x45452))
% 27.83/28.19 [4548]E(f328(f266(x45481),f328(f328(f10(f918(a911,a905),a905,x45481),f90(a911)),f328(f328(f9(x45481,f918(a911,a905),f918(a911,a905)),f328(f328(f10(f918(a911,f918(a905,a905)),f918(f918(a911,a905),f918(a911,a905)),x45481),f20(a911,a905,a905)),f328(f328(f10(f918(a911,a905),f918(a911,f918(a905,a905)),x45481),f328(f10(a905,f918(a905,a905),a911),a326)),f328(f328(f9(x45481,f918(a911,x45481),f918(a911,a905)),f328(f328(f10(f918(x45481,a905),f918(f918(a911,x45481),f918(a911,a905)),x45481),f10(x45481,a905,a911)),a325)),f328(f166(x45481),x45482))))),f328(f328(f9(a911,a911,a905),f240(a911)),f328(f191(f912(x45481)),x45482))))),f328(f174(x45481),x45482))
% 27.83/28.19 [4355]E(f328(f328(f3(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),x43551),a101)),x43552)),f328(f328(f3(a1),f328(f328(f83(a1),x43551),a101)),x43552))),a101),f328(f328(f3(a1),f328(f328(f83(a1),x43551),x43551)),f328(f328(f3(a1),f328(f328(f83(a1),x43552),x43552)),a101)))
% 27.83/28.19 [4478]E(f328(f144(f912(f912(x44781)),f912(f912(x44781)),f136(f912(x44781)),f117(f912(x44781))),f328(f328(f156(f912(x44781),f912(f912(x44781))),f158(f912(f912(x44781)),x44781,f117(f912(x44781)),f328(f18(f918(f912(x44781),f912(f912(x44781))),x44781),f328(f328(f9(f912(x44781),f912(f912(x44781)),f912(f912(x44781))),f153(f912(x44781))),f117(f912(x44781)))))),x44782)),f328(f328(f156(f912(x44781),f912(x44781)),f173(x44781)),f328(f138(f912(x44781),f328(f328(f10(a905,a905,f912(x44781)),a323),f328(f328(f9(f912(x44781),f912(x44781),a905),a325),f117(x44781)))),x44782)))
% 27.83/28.19 [4488]E(f328(f328(f89(a1,a911),f328(f108(a1),f328(f328(f83(a1),x44881),a101))),f328(f328(f20(a1,a911,a911),f328(f328(f9(a1,a911,f918(a911,a911)),f328(f328(f10(a905,f918(a911,f918(a911,a911)),a1),f100(a911)),a195)),f2(a911))),f328(f328(f10(a911,a911,a1),a116),f328(f328(f9(a1,a911,a911),f328(f328(f10(a911,f918(a911,a911),a1),f243(a911)),a109)),x44882)))),f328(f328(f243(a911),f328(f108(a911),x44881)),f328(a116,x44882)))
% 27.83/28.19 [4489]E(f328(f328(f89(a1,a911),f328(f108(a1),f328(f328(f83(a1),x44891),a101))),f328(f328(f20(a1,a911,a911),f328(f328(f9(a1,a911,f918(a911,a911)),f328(f328(f10(a905,f918(a911,f918(a911,a911)),a1),f100(a911)),a195)),f328(a116,x44892))),f328(f328(f10(a911,a911,a1),a116),f328(f328(f9(a1,a911,a911),f328(f328(f10(a911,f918(a911,a911),a1),f238(a911)),a109)),x44892)))),f328(f328(f238(a911),f328(f108(a911),x44891)),f328(a116,x44892)))
% 27.83/28.19 [4477]E(f328(f261(x44771,x44771,a905),f328(f328(f20(x44771,a905,f918(x44771,a905)),f328(f328(f10(f918(x44771,f918(a905,a905)),f918(a905,f918(x44771,a905)),x44771),f9(x44771,a905,a905)),f328(f328(f10(f918(x44771,a905),f918(x44771,f918(a905,a905)),x44771),f328(f10(a905,f918(a905,a905),x44771),a326)),a325))),x44772)),f267(x44771,x44772))
% 27.83/28.19 [4522]E(f328(f328(f39(a911),x45221),f328(f328(f83(a911),f328(f108(a911),f328(f328(f3(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))),a101))),x45222)),f328(f328(f39(a911),x45221),f328(a116,f328(a116,f328(a116,x45222)))))
% 27.83/28.19 [4523]E(f48(a911,x45231,f328(f328(f83(a911),f328(f108(a911),f328(f328(f3(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))),a101))),x45232)),f48(a911,x45231,f328(a116,f328(a116,f328(a116,x45232)))))
% 27.83/28.19 [4524]E(f48(a911,f328(f328(f83(a911),f328(f108(a911),f328(f328(f3(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))),a101))),x45241),x45242),f48(a911,f328(a116,f328(a116,f328(a116,x45241))),x45242))
% 27.83/28.19 [4536]E(f126(f328(x45361,f328(f328(f84(a103),f328(f108(a103),f328(f328(f3(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))),a101))),x45362))),f328(f204(x45361),x45362))
% 27.83/28.19 [4537]E(f328(f328(f39(a911),f328(f328(f83(a911),f328(f108(a911),f328(f328(f3(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))),a101))),x45371)),x45372),f328(f328(f39(a911),f328(a116,f328(a116,f328(a116,x45371)))),x45372))
% 27.83/28.19 [4589]~E(f34(x45891,x45892),f328(a26,x45893))
% 27.83/28.19 [4590]~E(f27(x45901,x45902),f328(a26,x45903))
% 27.83/28.19 [4591]~E(f33(x45911,x45912),f328(a26,x45913))
% 27.83/28.19 [4592]~E(f328(a26,x45921),f34(x45922,x45923))
% 27.83/28.19 [4593]~E(f328(a26,x45931),f27(x45932,x45933))
% 27.83/28.19 [4594]~E(f328(a26,x45941),f33(x45942,x45943))
% 27.83/28.19 [4609]~E(f29(x46091,x46092,x46093),a25)
% 27.83/28.19 [4610]~E(f31(x46101,x46102,x46103),a25)
% 27.83/28.19 [4611]~E(f30(x46111,x46112,x46113),a25)
% 27.83/28.19 [4612]~E(f29(x46121,x46122,x46123),a25)
% 27.83/28.19 [4613]~E(f31(x46131,x46132,x46133),a25)
% 27.83/28.19 [4614]~E(f30(x46141,x46142,x46143),a25)
% 27.83/28.19 [4617]~E(f129(x46171,x46172,x46173),f123(x46171))
% 27.83/28.19 [4618]~E(f129(x46181,x46182,x46183),f123(x46181))
% 27.83/28.19 [3327]E(f328(f194(x33271,x33272),x33273),f124(x33271,x33272))
% 27.83/28.19 [3346]E(f328(f203(x33461,x33462),x33463),f328(f132(x33461),x33462))
% 27.83/28.19 [3423]E(f328(f328(f156(x34231,x34232),x34233),f117(x34231)),f117(x34232))
% 27.83/28.19 [3443]E(f32(f29(x34431,x34432,x34433)),f2(a911))
% 27.83/28.19 [3464]E(f328(f186(x34641,x34642,x34643),f2(a911)),x34642)
% 27.83/28.19 [3465]E(f328(f191(a906),f29(x34651,x34652,x34653)),f2(a911))
% 27.83/28.19 [3467]E(f328(f328(f183(x34671,x34672),x34673),f117(x34672)),f117(f917(x34671,x34672)))
% 27.83/28.19 [3482]E(f328(f191(f912(x34821)),f171(x34821,x34822,x34823)),x34822)
% 27.83/28.19 [3501]E(f88(x35011,f65(x35011,x35012,x35013)),f328(f66(x35011,x35012),x35013))
% 27.83/28.19 [3505]E(f247(x35051,x35052,f247(x35052,x35051,x35053)),x35053)
% 27.83/28.19 [3525]E(f328(f170(x35251),f171(x35251,x35252,x35253)),f171(x35251,x35252,x35253))
% 27.83/28.19 [3552]E(f142(x35521,x35522,f154(x35521,x35523)),f154(x35521,f142(x35521,x35522,x35523)))
% 27.83/28.19 [3570]E(f328(f255(f912(x35701),f912(x35701)),f168(x35701,x35702,x35703)),f328(f138(x35701,x35702),x35703))
% 27.83/28.19 [3612]E(f328(f328(f153(x36121),x36122),f171(x36121,x36123,x36122)),f171(x36121,f328(a116,x36123),x36122))
% 27.83/28.19 [3646]E(f187(x36461,x36462,x36463,f2(a911)),x36462)
% 27.83/28.19 [3647]E(f19(x36471,x36472,x36473,f2(a103)),x36472)
% 27.83/28.19 [3648]E(f21(x36481,x36482,x36483,f2(a103)),x36482)
% 27.83/28.19 [3655]E(f165(x36551,x36552,x36553,f117(x36551)),f117(x36552))
% 27.83/28.19 [3661]E(f328(f328(f166(x36611),f328(f328(f153(x36611),x36612),x36613)),f2(a911)),x36612)
% 27.83/28.19 [3691]E(f62(x36911,x36912,f117(x36911),x36913),f117(f917(x36911,x36912)))
% 27.83/28.19 [3712]P30(x37121,x37122,x37123,f190(f918(x37121,a905)))
% 27.83/28.19 [3815]E(f269(x38151,x38152,x38153),f328(f256(f918(a103,f918(a905,f915(f913(x38151)))),f917(a103,a103)),f44(x38151)))
% 27.83/28.19 [3875]E(f328(f76(x38751,x38752,x38751,x38753),f35(x38751)),x38753)
% 27.83/28.19 [4054]P107(f328(f328(f330(f917(x40541,x40541)),f328(f328(f256(x40541,x40541),x40542),x40542)),f308(x40541,x40543)))
% 27.83/28.19 [4690]~P107(f328(f328(f330(f917(f912(x46901),f912(x46901))),f328(f328(f256(f912(x46901),f912(x46901)),x46902),f117(x46901))),f147(x46901,x46903)))
% 27.83/28.19 [4691]~P107(f328(f328(f330(f917(f912(x46911),f912(x46911))),f328(f328(f256(f912(x46911),f912(x46911)),x46912),f117(x46911))),f149(x46911,x46913)))
% 27.83/28.19 [4692]~P107(f328(f328(f330(f917(f912(x46921),f912(x46921))),f328(f328(f256(f912(x46921),f912(x46921)),x46922),f117(x46921))),f159(x46921,x46923)))
% 27.83/28.19 [4693]~P107(f328(f328(f330(f917(f912(x46931),f912(x46931))),f328(f328(f256(f912(x46931),f912(x46931)),f117(x46931)),x46932)),f147(x46931,x46933)))
% 27.83/28.19 [4694]~P107(f328(f328(f330(f917(f912(x46941),f912(x46941))),f328(f328(f256(f912(x46941),f912(x46941)),f117(x46941)),x46942)),f159(x46941,x46943)))
% 27.83/28.19 [3397]E(f328(f328(f205(x33971),x33972),x33973),f206(x33971,f219(x33972,x33973)))
% 27.83/28.19 [3453]E(f328(f288(x34531,x34532),f328(f288(x34532,x34531),x34533)),x34533)
% 27.83/28.19 [3477]E(f328(f328(f183(x34771,x34772),f117(x34771)),x34773),f117(f917(x34771,x34772)))
% 27.83/28.19 [3480]E(f178(x34801,x34802,f328(f284(a911),x34803)),f328(f328(f177(x34801),x34803),x34802))
% 27.83/28.19 [3496]E(f328(f268(x34961,x34962),f328(f288(x34962,x34961),x34963)),f328(f286(x34962,x34961),x34963))
% 27.83/28.19 [3497]E(f154(x34971,f328(f138(x34971,x34972),x34973)),f328(f138(x34971,x34972),f154(x34971,x34973)))
% 27.83/28.19 [3499]E(f328(f286(x34991,x34992),f328(f288(x34992,x34991),x34993)),f328(f268(x34992,x34991),x34993))
% 27.83/28.19 [3500]E(f328(f268(x35001,x35002),f328(f288(x35002,x35001),x35003)),f328(f286(x35002,x35001),x35003))
% 27.83/28.19 [3518]E(f328(f138(x35181,x35182),f328(f170(x35181),x35183)),f328(f170(x35181),f328(f138(x35181,x35182),x35183)))
% 27.83/28.19 [3531]E(f328(f328(f140(x35311),x35312),f328(f173(x35311),x35313)),f328(f328(f140(x35311),f328(a116,x35312)),x35313))
% 27.83/28.19 [3547]E(f32(f30(x35471,x35472,x35473)),f328(f328(f83(a911),f32(x35473)),f328(a116,f2(a911))))
% 27.83/28.19 [3548]E(f328(f311(x35481,x35482,x35483),f190(f918(x35481,a905))),f190(f918(x35482,a905)))
% 27.83/28.19 [3549]E(f328(f287(x35491,x35492,x35493),f190(f918(x35491,a905))),f190(f918(x35492,a905)))
% 27.83/28.19 [3550]E(f328(f312(x35501,x35502,x35503),f190(f918(x35502,a905))),f190(f918(x35501,a905)))
% 27.83/28.19 [3551]E(f328(f312(x35511,x35512,x35513),f246(f918(x35512,a905))),f246(f918(x35511,a905)))
% 27.83/28.19 [3576]E(f175(x35761,f328(f328(f153(x35761),x35762),x35763),f117(x35761)),f328(f328(f153(x35761),x35762),x35763))
% 27.83/28.19 [3577]E(f328(f328(f310(x35771),x35772),f328(f174(x35771),x35773)),f328(f174(x35771),f142(x35771,x35772,x35773)))
% 27.83/28.19 [3665]E(f328(f191(a906),f30(x36651,x36652,x36653)),f328(f328(f83(a911),f328(f191(a906),x36653)),f328(a116,f2(a911))))
% 27.83/28.19 [3666]E(f328(f311(f917(x36661,x36662),x36662,f260(x36661,x36662)),x36663),f328(f286(x36661,x36662),x36663))
% 27.83/28.19 [3667]E(f328(f311(f917(x36671,x36672),x36671,f255(x36671,x36672)),x36673),f328(f268(x36671,x36672),x36673))
% 27.83/28.19 [3683]E(f328(f174(x36831),f171(x36831,f328(a116,x36832),x36833)),f328(f328(f310(x36831),x36833),f190(f918(x36831,a905))))
% 27.83/28.19 [3740]E(f328(f328(f256(x37401,x37402),f328(f255(x37401,x37402),x37403)),f328(f260(x37401,x37402),x37403)),x37403)
% 27.83/28.19 [3741]E(f328(f328(f256(x37411,x37412),f328(f255(x37411,x37412),x37413)),f328(f260(x37411,x37412),x37413)),x37413)
% 27.83/28.19 [3748]E(f328(f191(f913(x37481)),f129(x37481,x37482,x37483)),f328(f328(f83(a911),f328(f191(f913(x37481)),x37483)),f328(a116,f2(a911))))
% 27.83/28.19 [3749]E(f328(f328(f261(x37491,x37492,x37491),f18(x37491,x37492)),x37493),f328(f255(x37491,x37492),x37493))
% 27.83/28.19 [3828]E(f32(f31(x38281,x38282,x38283)),f328(f328(f83(a911),f328(f328(f83(a911),f32(x38282)),f32(x38283))),f328(a116,f2(a911))))
% 27.83/28.19 [3880]E(f328(f76(x38801,x38801,x38802,f35(x38801)),x38803),x38803)
% 27.83/28.19 [3887]E(f328(f328(f136(x38871),f171(x38871,x38872,x38873)),f328(f328(f153(x38871),x38873),f117(x38871))),f328(f328(f153(x38871),x38873),f171(x38871,x38872,x38873)))
% 27.83/28.19 [3987]P107(f328(f328(f196(f27(x39871,x39872)),x39873),f328(f328(f328(a198,x39873),x39871),f328(x39872,x39873))))
% 27.83/28.19 [3988]P107(f328(f328(f196(f27(x39881,x39882)),x39883),f328(f328(f328(a198,x39883),x39881),f328(x39882,x39883))))
% 27.83/28.19 [3990]E(f328(f191(a906),f31(x39901,x39902,x39903)),f328(f328(f83(a911),f328(f328(f83(a911),f328(f191(a906),x39902)),f328(f191(a906),x39903))),f328(a116,f2(a911))))
% 27.83/28.19 [4063]P107(f328(f328(f239(f918(x40631,a905)),f328(f174(x40631),f328(f138(x40631,x40632),x40633))),f328(f174(x40631),x40633)))
% 27.83/28.19 [4106]P107(f328(f328(f239(f918(x41061,a905)),f328(f174(x41061),f328(f328(f177(x41061),x41062),x41063))),f328(f174(x41061),x41063)))
% 27.83/28.19 [4107]P107(f328(f328(f239(f918(x41071,a905)),f328(f174(x41071),f328(f328(f140(x41071),x41072),x41073))),f328(f174(x41071),x41073)))
% 27.83/28.19 [4111]P107(f328(f328(f239(f918(x41111,a905)),f328(f174(x41111),f178(x41111,x41112,x41113))),f328(f174(x41111),x41112)))
% 27.83/28.19 [4112]P107(f328(f328(f239(f918(x41121,a905)),f328(f174(x41121),f172(x41121,x41122,x41123))),f328(f174(x41121),x41123)))
% 27.83/28.19 [4133]P30(f917(x41331,x41332),f917(x41332,x41331),f328(f261(x41331,x41332,f917(x41332,x41331)),f328(f9(x41332,x41331,f917(x41332,x41331)),f256(x41332,x41331))),x41333)
% 27.83/28.19 [4144]E(f328(f328(f328(f185(f912(x41441),f912(x41441)),f48(a911,x41442,f328(f191(f912(x41441)),x41443))),f169(x41441)),x41443),f328(f328(f328(f185(f912(x41441),f912(x41441)),x41442),f169(x41441)),x41443))
% 27.83/28.19 [4185]E(f328(f76(f912(x41851),f912(x41851),f912(x41851),f328(f328(f185(f912(x41851),f912(x41851)),x41852),f169(x41851))),f328(f328(f185(f912(x41851),f912(x41851)),x41853),f169(x41851))),f328(f328(f185(f912(x41851),f912(x41851)),f328(f328(f83(a911),x41852),x41853)),f169(x41851)))
% 27.83/28.19 [4188]P107(f328(f328(f330(f917(f912(x41881),f912(x41881))),f328(f328(f256(f912(x41881),f912(x41881)),x41882),x41882)),f160(x41881,f308(x41881,x41883))))
% 27.83/28.19 [4328]E(f88(f917(x43281,x43282),f328(f328(f20(f917(x43281,x43282),x43282,a905),f328(f328(f10(x43281,f918(x43282,a905),f917(x43281,x43282)),x43283),f255(x43281,x43282))),f260(x43281,x43282))),f88(f917(x43281,x43282),f328(f261(x43281,x43282,a905),x43283)))
% 27.83/28.19 [4329]E(f93(f917(x43291,x43292),f328(f328(f20(f917(x43291,x43292),x43292,a905),f328(f328(f10(x43291,f918(x43292,a905),f917(x43291,x43292)),x43293),f255(x43291,x43292))),f260(x43291,x43292))),f93(f917(x43291,x43292),f328(f261(x43291,x43292,a905),x43293)))
% 27.83/28.19 [4362]E(f328(f328(f289(f917(a911,x43621),x43621),f320(a911,x43621,a244,x43622)),f328(f328(f20(x43621,x43621,f917(a911,x43621)),f328(f328(f10(a911,f918(x43621,f917(a911,x43621)),x43621),f256(a911,x43621)),x43623)),f7(x43621))),f322(x43621,x43623,x43622))
% 27.83/28.19 [4424]E(f328(f262(x44241,x44241,x44242,x44242,f7(x44241),f7(x44242)),x44243),x44243)
% 27.83/28.19 [4497]E(f328(f144(f912(f912(x44971)),f912(f912(x44971)),f136(f912(x44971)),f117(f912(x44971))),f328(f328(f156(f912(x44971),f912(f912(x44971))),f328(f328(f9(f912(x44971),f912(x44971),f912(f912(x44971))),f328(f328(f10(f918(x44971,f912(x44971)),f918(f912(x44971),f912(f912(x44971))),f912(x44971)),f156(x44971,f912(x44971))),f328(f9(x44971,f912(x44971),f912(x44971)),f153(x44971)))),x44972)),f58(x44971,x44973,x44972))),f58(x44971,f328(a116,x44973),x44972))
% 27.83/28.19 [4555]E(f227(a911,f917(x45551,f913(x45551)),f2(a911),f328(f261(x45551,f913(x45551),a911),f328(f328(f9(x45551,a911,f918(f913(x45551),a911)),f328(f328(f10(f918(f913(x45551),f918(a911,a911)),f918(a911,f918(f913(x45551),a911)),x45551),f9(f913(x45551),a911,a911)),f328(f328(f10(f918(f913(x45551),a911),f918(f913(x45551),f918(a911,a911)),x45551),f328(f10(a911,f918(a911,a911),f913(x45551)),f83(a911))),f328(f328(f9(x45551,f918(f913(x45551),a911),f918(f913(x45551),a911)),f328(f328(f10(f918(a911,a911),f918(f918(f913(x45551),a911),f918(f913(x45551),a911)),x45551),f10(a911,a911,f913(x45551))),f328(f328(f10(a911,f918(a911,a911),x45551),f83(a911)),x45552))),f128(x45551,x45552))))),f81(a911))),f328(f137(x45551),x45553)),f328(f128(x45551,x45552),x45553))
% 27.83/28.19 [4564]E(f328(f328(f89(a1,x45641),f222(f328(f328(f76(f917(a1,a1),a1,x45641,f260(a1,a1)),f216(x45641)),x45642),f328(f328(f76(f917(a1,a1),a1,x45641,f260(a1,a1)),f216(x45641)),x45643))),f328(f328(f20(a1,a1,x45641),f328(f328(f10(a1,f918(a1,x45641),a1),f205(x45641)),f328(f328(f20(a1,a1,a1),f328(f328(f10(a1,f918(a1,a1),a1),f83(a1)),f328(f328(f10(a1,a1,a1),f328(f84(a1),f328(f328(f76(f917(a1,a1),a1,x45641,f255(a1,a1)),f216(x45641)),x45642))),f328(f328(f9(a1,a1,a1),f39(a1)),f328(f328(f76(f917(a1,a1),a1,x45641,f260(a1,a1)),f216(x45641)),x45642))))),f328(f328(f10(a1,a1,a1),f328(f84(a1),f328(f328(f76(f917(a1,a1),a1,x45641,f255(a1,a1)),f216(x45641)),x45643))),f328(f328(f9(a1,a1,a1),f39(a1)),f328(f328(f76(f917(a1,a1),a1,x45641,f260(a1,a1)),f216(x45641)),x45643)))))),f7(a1))),f234(x45641,x45642,x45643))
% 27.83/28.19 [4606]~E(f328(f328(f153(x46061),x46062),x46063),x46063)
% 27.83/28.19 [4607]~E(f328(f328(f153(x46071),x46072),x46073),x46073)
% 27.83/28.19 [4615]~E(f328(f328(f153(x46151),x46152),x46153),f117(x46151))
% 27.83/28.19 [4616]~E(f328(f328(f153(x46161),x46162),x46163),f117(x46161))
% 27.83/28.19 [4645]~E(f328(f328(f310(x46451),x46452),x46453),f190(f918(x46451,a905)))
% 27.83/28.19 [4646]~E(f328(f328(f310(x46461),x46462),x46463),f190(f918(x46461,a905)))
% 27.83/28.19 [4672]~E(f328(f311(x46721,f918(x46721,a905),x46722),x46723),f328(f309(x46721),x46723))
% 27.83/28.19 [3457]E(f328(f328(f161(x34571,f117(x34571)),x34572),x34573),f117(x34571))
% 27.83/28.19 [3458]E(f328(f328(f161(x34581,f117(x34581)),x34582),x34583),f117(x34581))
% 27.83/28.19 [3459]E(f328(f143(x34591),f328(f328(f153(x34591),x34592),x34593)),x34592)
% 27.83/28.19 [3460]E(f328(f173(x34601),f328(f328(f153(x34601),x34602),x34603)),x34603)
% 27.83/28.19 [3504]E(f328(f328(f140(x35041),f81(a911)),f328(f328(f153(x35041),x35042),x35043)),x35043)
% 27.83/28.19 [3537]E(f118(x35371,f328(f328(f140(x35371),x35372),x35373)),f328(f328(f140(x35371),x35372),f118(x35371,x35373)))
% 27.83/28.19 [3538]E(f118(x35381,f328(f328(f140(x35381),x35382),x35383)),f328(f328(f140(x35381),x35382),f118(x35381,x35383)))
% 27.83/28.19 [3540]E(f328(f328(f161(x35401,x35402),x35403),f328(f328(f166(x35401),x35402),x35403)),x35402)
% 27.83/28.19 [3561]E(f328(f328(f310(x35611),x35612),f328(f328(f310(x35611),x35612),x35613)),f328(f328(f310(x35611),x35612),x35613))
% 27.83/28.19 [3573]E(f328(f328(f310(x35731),x35732),f328(f174(x35731),x35733)),f328(f174(x35731),f328(f328(f153(x35731),x35732),x35733)))
% 27.83/28.19 [3574]E(f328(f328(f140(x35741),x35742),f328(f173(x35741),x35743)),f328(f173(x35741),f328(f328(f140(x35741),x35742),x35743)))
% 27.83/28.19 [3575]E(f328(f328(f140(x35751),x35752),f328(f173(x35751),x35753)),f328(f173(x35751),f328(f328(f140(x35751),x35752),x35753)))
% 27.83/28.19 [3586]E(f328(f328(f177(x35861),f81(a911)),f328(f328(f153(x35861),x35862),x35863)),f328(f328(f153(x35861),x35862),f117(x35861)))
% 27.83/28.19 [3631]E(f328(f66(x36311,x36312),f328(f328(f310(x36311),x36313),f190(f918(x36311,a905)))),x36313)
% 27.83/28.19 [3673]E(f328(f328(f83(a911),x36731),f328(f328(f83(a911),x36732),x36733)),f328(f328(f83(a911),x36732),f328(f328(f83(a911),x36731),x36733)))
% 27.83/28.19 [3674]E(f328(f328(f83(a1),x36741),f328(f328(f83(a1),x36742),x36743)),f328(f328(f83(a1),x36742),f328(f328(f83(a1),x36741),x36743)))
% 27.83/28.19 [3679]E(f328(f328(f258(x36791,x36792),f190(f918(x36791,a905))),x36793),f190(f918(f917(x36791,x36792),a905)))
% 27.83/28.19 [3704]E(f328(f328(f105(f918(x37041,a905)),x37042),x37043),f328(f328(f105(f918(x37041,a905)),x37043),x37042))
% 27.83/28.19 [3705]E(f328(f328(f106(f918(x37051,a905)),x37052),x37053),f328(f328(f106(f918(x37051,a905)),x37053),x37052))
% 27.83/28.19 [3707]E(f328(f328(f136(x37071),x37072),f328(f328(f153(x37071),x37073),f117(x37071))),f328(f169(x37071),f328(f328(f153(x37071),x37073),x37072)))
% 27.83/28.19 [3708]E(f328(f328(f136(x37081),f328(f170(x37081),x37082)),f328(f170(x37081),x37083)),f328(f170(x37081),f328(f328(f136(x37081),x37083),x37082)))
% 27.83/28.19 [3718]E(f328(f173(x37181),f328(f328(f177(x37181),f328(a116,x37182)),x37183)),f328(f328(f177(x37181),x37182),f328(f173(x37181),x37183)))
% 27.83/28.19 [3726]P107(f328(f328(f330(x37261),x37262),f328(f328(f310(x37261),x37262),x37263)))
% 27.83/28.19 [3730]E(f328(f328(f43(x37301,f918(x37302,a905)),f190(f918(x37301,a905))),x37303),f246(f918(x37302,a905)))
% 27.83/28.19 [3733]E(f328(f287(x37331,x37331,f267(x37331,x37332)),x37333),f328(f328(f106(f918(x37331,a905)),x37332),x37333))
% 27.83/28.19 [3747]E(f328(f191(f912(x37471)),f328(f328(f153(x37471),x37472),x37473)),f328(f328(f83(a911),f328(f191(f912(x37471)),x37473)),f328(a116,f2(a911))))
% 27.83/28.19 [3751]E(f146(x37511,f328(f328(f136(x37511),x37512),f328(f328(f153(x37511),x37513),f117(x37511)))),x37513)
% 27.83/28.19 [3752]E(f118(x37521,f328(f328(f136(x37521),x37522),f328(f328(f153(x37521),x37523),f117(x37521)))),x37522)
% 27.83/28.19 [3761]E(f328(f328(f136(x37611),f328(f328(f177(x37611),x37612),x37613)),f328(f328(f140(x37611),x37612),x37613)),x37613)
% 27.83/28.19 [3770]E(f328(f328(f3(a911),f328(f328(f83(a911),x37701),x37702)),f328(f328(f83(a911),x37703),x37702)),f328(f328(f3(a911),x37701),x37703))
% 27.83/28.19 [3771]E(f328(f328(f3(a911),f328(f328(f83(a911),x37711),x37712)),f328(f328(f83(a911),x37711),x37713)),f328(f328(f3(a911),x37712),x37713))
% 27.83/28.19 [3777]E(f328(f328(f136(x37771),f328(f170(x37771),x37772)),f328(f328(f153(x37771),x37773),f117(x37771))),f328(f170(x37771),f328(f328(f153(x37771),x37773),x37772)))
% 27.83/28.19 [3779]E(f328(f328(f83(a911),f328(f191(f912(x37791)),x37792)),f328(f191(f912(x37791)),x37793)),f328(f191(f912(x37791)),f328(f328(f136(x37791),x37792),x37793)))
% 27.83/28.19 [3782]E(f328(f328(f83(a911),f328(f191(f912(x37821)),x37822)),f328(f191(f912(x37821)),x37823)),f328(f191(f912(x37821)),f175(x37821,x37822,x37823)))
% 27.83/28.19 [3790]E(f328(f328(f105(f918(x37901,a905)),f328(f174(x37901),x37902)),f328(f174(x37901),x37903)),f328(f174(x37901),f328(f328(f136(x37901),x37902),x37903)))
% 27.83/28.19 [3791]E(f48(a911,f328(f328(f84(a911),x37911),x37912),f328(f328(f84(a911),x37911),x37913)),f328(f328(f84(a911),x37911),f48(a911,x37912,x37913)))
% 27.83/28.19 [3803]E(f328(f328(f177(x38031),f328(f328(f3(a911),x38032),f81(a911))),f328(f173(x38031),x38033)),f328(f173(x38031),f328(f328(f177(x38031),x38032),x38033)))
% 27.83/28.19 [3808]E(f328(f328(f106(f918(x38081,a905)),x38082),f328(f82(f918(x38081,a905)),x38083)),f328(f328(f3(f918(x38081,a905)),x38082),x38083))
% 27.83/28.19 [3809]E(f328(f328(f3(f918(x38091,a905)),x38092),f328(f82(f918(x38091,a905)),x38093)),f328(f328(f106(f918(x38091,a905)),x38092),x38093))
% 27.83/28.19 [3832]E(f328(f328(f258(x38321,x38322),x38323),f328(f18(f918(x38322,a905),x38321),f190(f918(x38322,a905)))),f190(f918(f917(x38321,x38322),a905)))
% 27.83/28.19 [3834]E(f328(f328(f83(a911),f328(f328(f84(a911),x38341),x38342)),f328(f328(f84(a911),x38341),x38343)),f328(f328(f84(a911),x38341),f328(f328(f83(a911),x38342),x38343)))
% 27.83/28.19 [3835]E(f328(f328(f3(a911),f328(f328(f84(a911),x38351),x38352)),f328(f328(f84(a911),x38351),x38353)),f328(f328(f84(a911),x38351),f328(f328(f3(a911),x38352),x38353)))
% 27.83/28.19 [3836]E(f328(f328(f83(a1),f328(f328(f84(a1),x38361),x38362)),f328(f328(f84(a1),x38361),x38363)),f328(f328(f84(a1),x38361),f328(f328(f83(a1),x38362),x38363)))
% 27.83/28.19 [3837]E(f328(f328(f3(a1),f328(f328(f84(a1),x38371),x38372)),f328(f328(f84(a1),x38371),x38373)),f328(f328(f84(a1),x38371),f328(f328(f3(a1),x38372),x38373)))
% 27.83/28.19 [3838]E(f328(f328(f84(a1),f328(f328(f248(a1),x38381),x38382)),f328(f328(f248(a1),x38381),x38383)),f328(f328(f248(a1),x38381),f328(f328(f83(a911),x38382),x38383)))
% 27.83/28.19 [3852]E(f328(f328(f42(x38521,f918(x38522,a905)),x38523),f328(f18(f918(x38522,a905),x38521),f190(f918(x38522,a905)))),f190(f918(x38522,a905)))
% 27.83/28.19 [3854]E(f48(a911,f328(f328(f84(a911),x38541),x38542),f328(f328(f84(a911),x38543),x38542)),f328(f328(f84(a911),f48(a911,x38541,x38543)),x38542))
% 27.83/28.19 [3858]E(f48(a1,f328(f328(f84(a1),x38581),f48(a1,x38582,x38583)),x38583),f48(a1,f328(f328(f84(a1),x38581),x38582),x38583))
% 27.83/28.19 [3859]E(f48(a1,f328(f328(f84(a1),x38591),f48(a1,x38592,x38593)),x38593),f48(a1,f328(f328(f84(a1),x38591),x38592),x38593))
% 27.83/28.19 [3860]E(f48(a1,f328(f328(f3(a1),x38601),f48(a1,x38602,x38603)),x38603),f48(a1,f328(f328(f3(a1),x38601),x38602),x38603))
% 27.83/28.19 [3861]P107(f328(f328(f239(f918(x38611,a905)),x38612),f328(f328(f310(x38611),x38613),x38612)))
% 27.83/28.19 [3940]E(f328(f328(f43(f918(x39401,a905),f918(x39401,a905)),x39402),f328(f105(f918(x39401,a905)),x39403)),f328(f328(f105(f918(x39401,a905)),x39403),f41(f918(x39401,a905),x39402)))
% 27.83/28.19 [3941]E(f328(f328(f42(f918(x39411,a905),f918(x39411,a905)),x39412),f328(f106(f918(x39411,a905)),x39413)),f328(f328(f106(f918(x39411,a905)),x39413),f40(f918(x39411,a905),x39412)))
% 27.83/28.19 [3952]E(f328(f174(x39521),f328(f328(f328(f185(f912(x39521),f912(x39521)),x39522),f169(x39521)),x39523)),f328(f174(x39521),x39523))
% 27.83/28.19 [3956]E(f328(f328(f177(x39561),f328(f191(f912(x39561)),f179(x39561,x39562,x39563))),x39563),f179(x39561,x39562,x39563))
% 27.83/28.19 [3960]E(f328(f191(f912(x39601)),f328(f328(f328(f185(f912(x39601),f912(x39601)),x39602),f169(x39601)),x39603)),f328(f191(f912(x39601)),x39603))
% 27.83/28.19 [3963]E(f328(f328(f261(x39631,x39632,x39632),f328(f18(f918(x39632,x39632),x39631),f7(x39632))),x39633),f328(f260(x39631,x39632),x39633))
% 27.83/28.19 [3970]E(f48(a1,f328(f328(f3(a1),f48(a1,x39701,x39702)),x39703),x39702),f48(a1,f328(f328(f3(a1),x39701),x39703),x39702))
% 27.83/28.19 [3971]E(f48(a1,f328(f328(f248(a1),f48(a1,x39711,x39712)),x39713),x39712),f48(a1,f328(f328(f248(a1),x39711),x39713),x39712))
% 27.83/28.19 [3974]E(f328(f328(f42(f918(f917(x39741,x39742),a905),f918(x39742,a905)),x39743),f286(x39741,x39742)),f328(f286(x39741,x39742),f40(f918(f917(x39741,x39742),a905),x39743)))
% 27.83/28.19 [3975]E(f328(f328(f42(f918(f917(x39751,x39752),a905),f918(x39751,a905)),x39753),f268(x39751,x39752)),f328(f268(x39751,x39752),f40(f918(f917(x39751,x39752),a905),x39753)))
% 27.83/28.19 [4001]E(f328(f76(x40011,x40011,x40011,x40012),f328(f328(f185(x40011,x40011),x40013),x40012)),f328(f328(f185(x40011,x40011),f328(a116,x40013)),x40012))
% 27.83/28.19 [4019]E(f328(f328(f140(x40191),f328(f328(f3(a911),f328(f191(f912(x40191)),x40192)),x40193)),f328(f170(x40191),x40192)),f328(f170(x40191),f328(f328(f177(x40191),x40193),x40192)))
% 27.83/28.19 [4020]E(f328(f328(f177(x40201),f328(f328(f3(a911),f328(f191(f912(x40201)),x40202)),x40203)),f328(f170(x40201),x40202)),f328(f170(x40201),f328(f328(f140(x40201),x40203),x40202)))
% 27.83/28.19 [4022]E(f328(f328(f83(a911),f328(f167(a911),f328(f328(f156(x40221,a911),x40222),x40223))),f328(f191(f912(x40221)),x40223)),f157(x40221,x40222,x40223))
% 27.83/28.19 [4034]E(f328(f328(f328(f185(f912(x40341),f912(x40341)),x40342),f169(x40341)),f328(f169(x40341),x40343)),f328(f169(x40341),f328(f328(f328(f185(f912(x40341),f912(x40341)),x40342),f169(x40341)),x40343)))
% 27.83/28.19 [4041]E(f328(f169(x40411),f328(f328(f328(f185(f912(x40411),f912(x40411)),x40412),f169(x40411)),x40413)),f328(f328(f328(f185(f912(x40411),f912(x40411)),f328(a116,x40412)),f169(x40411)),x40413))
% 27.83/28.19 [4055]P107(f328(f328(f239(a911),f328(f191(f912(x40551)),f328(f138(x40551,x40552),x40553))),f328(f191(f912(x40551)),x40553)))
% 27.83/28.19 [4071]E(f328(f328(f105(f918(f918(x40711,a905),a905)),f328(f309(x40711),x40712)),f328(f311(f918(x40711,a905),f918(x40711,a905),f328(f310(x40711),x40713)),f328(f309(x40711),x40712))),f328(f309(x40711),f328(f328(f310(x40711),x40713),x40712)))
% 27.83/28.19 [4088]P29(x40881,x40882,f328(f328(f310(f910(x40881)),f328(f328(f328(f94(x40881),x40883),a25),x40883)),f190(f918(f910(x40881),a905))))
% 27.83/28.19 [4089]P29(x40891,x40892,f328(f328(f310(f910(x40891)),f328(f328(f328(f94(x40891),x40893),a25),x40893)),f190(f918(f910(x40891),a905))))
% 27.83/28.19 [4103]P107(f328(f328(f239(a911),f328(f191(f912(x41031)),f179(x41031,x41032,x41033))),f328(f191(f912(x41031)),x41033)))
% 27.83/28.19 [4110]E(f328(f268(x41101,x41102),f328(f266(f917(x41101,x41102)),f328(f261(x41101,x41102,a905),x41103))),f328(f266(x41101),f328(f328(f10(f918(x41102,a905),a905,x41101),f90(x41102)),x41103)))
% 27.83/28.19 [4122]E(f328(f311(a911,a911,f328(f328(f9(a911,a911,a911),f83(a911)),x41221)),f304(a911,x41222,x41223)),f304(a911,f328(f328(f83(a911),x41222),x41221),f328(f328(f83(a911),x41223),x41221)))
% 27.83/28.19 [4136]E(f328(f311(a911,a911,f328(f328(f9(a911,a911,a911),f83(a911)),x41361)),f328(f303(a911,x41362),x41363)),f328(f303(a911,f328(f328(f83(a911),x41362),x41361)),f328(f328(f83(a911),x41363),x41361)))
% 27.83/28.19 [4154]E(f328(f328(f183(x41541,x41542),f328(f328(f156(f917(x41541,x41542),x41541),f255(x41541,x41542)),x41543)),f328(f328(f156(f917(x41541,x41542),x41542),f260(x41541,x41542)),x41543)),x41543)
% 27.83/28.19 [4159]E(f328(f328(f83(a911),f328(f328(f84(a911),x41591),f48(a911,f328(f328(f39(a911),x41592),x41591),x41593))),f48(a911,x41592,x41591)),f48(a911,x41592,f328(f328(f84(a911),x41591),x41593)))
% 27.83/28.19 [4172]E(f328(f328(f136(x41721),x41722),f328(f144(f912(x41721),f912(x41721),f136(x41721),f117(x41721)),x41723)),f328(f144(f912(x41721),f912(x41721),f136(x41721),x41722),x41723))
% 27.83/28.19 [4193]P107(f328(f328(f330(f917(x41931,x41931)),f328(f328(f256(x41931,x41931),x41932),x41932)),f328(f328(f185(f917(x41931,x41931),a905),f2(a911)),x41933)))
% 27.83/28.19 [4198]E(f328(f266(x41981),f328(f328(f10(f918(x41982,a905),a905,x41981),f90(x41982)),f328(f9(x41982,x41981,a905),x41983))),f328(f286(x41982,x41981),f328(f266(f917(x41982,x41981)),f328(f261(x41982,x41981,a905),x41983))))
% 27.83/28.19 [4215]E(f328(f328(f105(f918(x42151,a905)),f328(f328(f42(a911,f918(x42151,a905)),f304(a911,f81(a911),x42152)),x42153)),f328(x42153,f2(a911))),f328(f328(f42(a911,f918(x42151,a905)),f328(f302(a911),x42152)),x42153))
% 27.83/28.19 [4230]E(f328(f144(f912(x42301),f912(x42301),f136(x42301),f117(x42301)),f328(f328(f156(f912(x42301),f912(x42301)),f138(x42301,x42302)),x42303)),f328(f138(x42301,x42302),f328(f144(f912(x42301),f912(x42301),f136(x42301),f117(x42301)),x42303)))
% 27.83/28.19 [4234]E(f328(f260(f912(x42341),f912(x42341)),f168(x42341,x42342,x42343)),f328(f138(x42341,f328(f76(a905,a905,x42341,a323),x42342)),x42343))
% 27.83/28.19 [4280]E(f328(f328(f83(a1),f328(f328(f83(a1),f328(f328(f84(a1),x42801),f328(f328(f39(a1),x42802),x42801))),f48(a1,x42802,x42801))),x42803),f328(f328(f83(a1),x42802),x42803))
% 27.83/28.19 [4317]E(f328(f328(f83(a1),f328(f328(f83(a1),f328(f328(f84(a1),f328(f328(f39(a1),x43171),x43172)),x43172)),f48(a1,x43171,x43172))),x43173),f328(f328(f83(a1),x43171),x43173))
% 27.83/28.19 [4343]E(f88(f917(x43431,x43432),f328(f261(x43431,x43432,a905),f328(f328(f10(f918(x43432,f917(x43431,x43432)),f918(x43432,a905),x43431),f328(f10(f917(x43431,x43432),a905,x43432),x43433)),f256(x43431,x43432)))),f88(f917(x43431,x43432),x43433))
% 27.83/28.19 [4344]E(f93(f917(x43441,x43442),f328(f261(x43441,x43442,a905),f328(f328(f10(f918(x43442,f917(x43441,x43442)),f918(x43442,a905),x43441),f328(f10(f917(x43441,x43442),a905,x43442),x43443)),f256(x43441,x43442)))),f93(f917(x43441,x43442),x43443))
% 27.83/28.19 [4371]P107(f328(f328(f239(f918(x43711,a905)),f40(f918(x43711,a905),f328(f328(f106(f918(f918(x43711,a905),a905)),x43712),x43713))),f328(f328(f106(f918(x43711,a905)),f40(f918(x43711,a905),x43712)),f40(f918(x43711,a905),x43713))))
% 27.83/28.19 [4372]E(f328(f170(x43721),f328(f328(f328(f185(f912(x43721),f912(x43721)),f328(f328(f3(a911),f328(f191(f912(x43721)),x43722)),f48(a911,x43723,f328(f191(f912(x43721)),x43722)))),f169(x43721)),x43722)),f328(f328(f328(f185(f912(x43721),f912(x43721)),x43723),f169(x43721)),f328(f170(x43721),x43722)))
% 27.83/28.19 [4409]P107(f328(f328(f239(a911),f328(f191(f912(x44091)),f328(f328(f140(x44091),f328(f191(f912(x44091)),f179(x44091,x44092,x44093))),x44093))),f328(f191(f912(x44091)),x44093)))
% 27.83/28.19 [4684]~P107(f328(f65(x46841,x46842,f190(f918(x46841,a905))),x46843))
% 27.83/28.19 [4689]~P107(f328(f328(f330(f917(x46891,x46891)),f328(f328(f256(x46891,x46891),x46892),x46893)),f155(x46891,f117(f918(x46891,a911)))))
% 27.83/28.19 [3719]E(f328(f191(f912(x37191)),f328(f328(f177(x37191),x37192),x37193)),f328(f328(f243(a911),f328(f191(f912(x37191)),x37193)),x37192))
% 27.83/28.19 [3720]E(f328(f191(f912(x37201)),f328(f328(f140(x37201),x37202),x37203)),f328(f328(f3(a911),f328(f191(f912(x37201)),x37203)),x37202))
% 27.83/28.19 [3746]E(f328(f191(f912(f912(x37461))),f58(x37461,x37462,x37463)),f328(f328(f248(a911),f328(f191(f912(x37461)),x37463)),x37462))
% 27.83/28.19 [3763]E(f328(f328(f39(a911),f328(f328(f39(a911),x37631),x37632)),x37633),f328(f328(f39(a911),x37631),f328(f328(f84(a911),x37632),x37633)))
% 27.83/28.19 [3764]E(f328(f328(f83(a911),f328(f328(f83(a911),x37641),x37642)),x37643),f328(f328(f83(a911),x37641),f328(f328(f83(a911),x37642),x37643)))
% 27.83/28.19 [3765]E(f328(f328(f83(a1),f328(f328(f83(a1),x37651),x37652)),x37653),f328(f328(f83(a1),x37651),f328(f328(f83(a1),x37652),x37653)))
% 27.83/28.19 [3766]E(f328(f328(f84(a911),f328(f328(f84(a911),x37661),x37662)),x37663),f328(f328(f84(a911),x37661),f328(f328(f84(a911),x37662),x37663)))
% 27.83/28.19 [3767]E(f328(f328(f84(a1),f328(f328(f84(a1),x37671),x37672)),x37673),f328(f328(f84(a1),x37671),f328(f328(f84(a1),x37672),x37673)))
% 27.83/28.19 [3768]E(f328(f328(f3(a911),f328(f328(f3(a911),x37681),x37682)),x37683),f328(f328(f3(a911),x37681),f328(f328(f83(a911),x37682),x37683)))
% 27.83/28.19 [3769]E(f328(f328(f248(a1),f328(f328(f248(a1),x37691),x37692)),x37693),f328(f328(f248(a1),x37691),f328(f328(f84(a911),x37692),x37693)))
% 27.83/28.19 [3788]E(f164(x37881,f328(f328(f153(f918(x37881,a905)),x37882),x37883)),f176(x37881,x37882,f164(x37881,x37883)))
% 27.83/28.19 [3833]E(f328(f328(f3(a911),f328(f328(f3(a911),x38331),x38332)),x38333),f328(f328(f3(a911),f328(f328(f3(a911),x38331),x38333)),x38332))
% 27.83/28.19 [3841]E(f328(f328(f106(f918(x38411,a905)),x38412),f328(f328(f3(f918(x38411,a905)),x38413),x38412)),f190(f918(x38411,a905)))
% 27.83/28.19 [3845]E(f328(f328(f156(a911,x38451),f328(f18(x38451,a911),x38452)),f141(a911,f328(f303(a911,f2(a911)),x38453))),f171(x38451,x38453,x38452))
% 27.83/28.19 [3885]E(f40(f918(x38851,a905),f328(f328(f310(f918(x38851,a905)),x38852),x38853)),f328(f328(f105(f918(x38851,a905)),x38852),f40(f918(x38851,a905),x38853)))
% 27.83/28.19 [3886]E(f41(f918(x38861,a905),f328(f328(f310(f918(x38861,a905)),x38862),x38863)),f328(f328(f106(f918(x38861,a905)),x38862),f41(f918(x38861,a905),x38863)))
% 27.83/28.19 [3888]E(f171(x38881,f328(f191(f912(x38881)),f328(f138(x38881,f328(a325,x38882)),x38883)),x38882),f328(f138(x38881,f328(a325,x38882)),x38883))
% 27.83/28.19 [3890]E(f328(f328(f83(a911),f328(f328(f84(a911),x38901),x38902)),f328(f328(f84(a911),x38903),x38902)),f328(f328(f84(a911),f328(f328(f83(a911),x38901),x38903)),x38902))
% 27.83/28.19 [3891]E(f328(f328(f3(a911),f328(f328(f84(a911),x38911),x38912)),f328(f328(f84(a911),x38913),x38912)),f328(f328(f84(a911),f328(f328(f3(a911),x38911),x38913)),x38912))
% 27.83/28.19 [3892]E(f328(f328(f83(a1),f328(f328(f84(a1),x38921),x38922)),f328(f328(f84(a1),x38923),x38922)),f328(f328(f84(a1),f328(f328(f83(a1),x38921),x38923)),x38922))
% 27.83/28.19 [3894]E(f328(f328(f3(a1),f328(f328(f84(a1),x38941),x38942)),f328(f328(f84(a1),x38943),x38942)),f328(f328(f84(a1),f328(f328(f3(a1),x38941),x38943)),x38942))
% 27.83/28.19 [3895]E(f328(f328(f243(a911),f328(f328(f3(a911),x38951),x38952)),f328(f328(f3(a911),x38953),x38952)),f328(f328(f3(a911),f328(f328(f243(a911),x38951),x38953)),x38952))
% 27.83/28.19 [3917]E(f328(f328(f106(f918(f912(x39171),a905)),f162(x39171,x39172)),f162(x39171,x39173)),f162(x39171,f328(f328(f106(f918(x39171,a905)),x39172),x39173)))
% 27.83/28.19 [3920]E(f328(f328(f105(f918(x39201,a905)),x39202),f328(f328(f3(f918(x39201,a905)),x39203),x39202)),f328(f328(f105(f918(x39201,a905)),x39202),x39203))
% 27.83/28.19 [3921]E(f328(f328(f105(f918(x39211,a905)),x39212),f328(f328(f105(f918(x39211,a905)),x39212),x39213)),f328(f328(f105(f918(x39211,a905)),x39212),x39213))
% 27.83/28.19 [3922]E(f328(f328(f106(f918(x39221,a905)),x39222),f328(f328(f106(f918(x39221,a905)),x39222),x39223)),f328(f328(f106(f918(x39221,a905)),x39222),x39223))
% 27.83/28.19 [3934]E(f328(f328(f290(x39341,x39342,x39342),x39343),f308(x39342,f190(f918(f917(x39342,x39342),a905)))),x39343)
% 27.83/28.19 [3937]E(f328(f328(f105(f918(x39371,a905)),f328(f328(f310(x39371),x39372),f190(f918(x39371,a905)))),x39373),f328(f328(f310(x39371),x39372),x39373))
% 27.83/28.19 [3955]E(f328(f328(f3(a911),f328(f328(f3(a911),f328(a116,x39551)),x39552)),f328(a116,x39553)),f328(f328(f3(a911),f328(f328(f3(a911),x39551),x39552)),x39553))
% 27.83/28.19 [3983]E(f328(f328(f106(f918(f918(x39831,a905),a905)),f328(f309(x39831),x39832)),f328(f309(x39831),x39833)),f328(f309(x39831),f328(f328(f106(f918(x39831,a905)),x39832),x39833)))
% 27.83/28.19 [3986]E(f328(f328(f105(f918(x39861,a905)),f328(f82(f918(x39861,a905)),x39862)),x39863),f328(f82(f918(x39861,a905)),f328(f328(f3(f918(x39861,a905)),x39862),x39863)))
% 27.83/28.19 [3998]E(f328(f328(f310(x39981),x39982),f328(f328(f3(f918(x39981,a905)),x39983),f328(f328(f310(x39981),x39982),f190(f918(x39981,a905))))),f328(f328(f310(x39981),x39982),x39983))
% 27.83/28.19 [4008]P107(f328(f328(f239(f918(x40081,a905)),x40082),f328(f328(f105(f918(x40081,a905)),x40083),x40082)))
% 27.83/28.19 [4009]P107(f328(f328(f239(f918(x40091,a905)),x40092),f328(f328(f105(f918(x40091,a905)),x40092),x40093)))
% 27.83/28.19 [4013]E(f328(f328(f106(f918(x40131,a905)),f328(f82(f918(x40131,a905)),x40132)),f328(f82(f918(x40131,a905)),x40133)),f328(f82(f918(x40131,a905)),f328(f328(f105(f918(x40131,a905)),x40132),x40133)))
% 27.83/28.20 [4014]E(f328(f328(f105(f918(x40141,a905)),f328(f82(f918(x40141,a905)),x40142)),f328(f82(f918(x40141,a905)),x40143)),f328(f82(f918(x40141,a905)),f328(f328(f106(f918(x40141,a905)),x40142),x40143)))
% 27.83/28.20 [4027]P107(f328(f328(f239(f918(x40271,a905)),f328(f174(x40271),x40272)),f328(f174(x40271),f328(f328(f153(x40271),x40273),x40272))))
% 27.83/28.20 [4039]E(f328(f328(f105(f918(x40391,a905)),f328(f328(f3(f918(x40391,a905)),x40392),x40393)),f328(f328(f106(f918(x40391,a905)),x40392),x40393)),x40392)
% 27.83/28.20 [4090]E(f328(f328(f11(x40901,a1),f328(f328(f10(a911,a1,x40901),f104(a1)),x40902)),x40903),f328(f104(a1),f328(f328(f11(x40901,a911),x40902),x40903)))
% 27.83/28.20 [4091]E(f328(f328(f8(x40911,a1),f328(f328(f10(a911,a1,x40911),f104(a1)),x40912)),x40913),f328(f104(a1),f328(f328(f8(x40911,a911),x40912),x40913)))
% 27.83/28.20 [4138]E(f328(f328(f136(x41381),f179(x41381,x41382,x41383)),f328(f328(f140(x41381),f328(f191(f912(x41381)),f179(x41381,x41382,x41383))),x41383)),x41383)
% 27.83/28.20 [4142]E(f328(f82(f918(f917(x41421,x41422),a905)),f328(f328(f258(x41421,x41422),x41423),f328(f18(f918(x41422,a905),x41421),f246(f918(x41422,a905))))),f328(f328(f258(x41421,x41422),f328(f82(f918(x41421,a905)),x41423)),f328(f18(f918(x41422,a905),x41421),f246(f918(x41422,a905)))))
% 27.83/28.20 [4143]E(f328(f82(f918(f917(x41431,x41432),a905)),f328(f328(f258(x41431,x41432),f246(f918(x41431,a905))),f328(f18(f918(x41432,a905),x41431),x41433))),f328(f328(f258(x41431,x41432),f246(f918(x41431,a905))),f328(f18(f918(x41432,a905),x41431),f328(f82(f918(x41432,a905)),x41433))))
% 27.83/28.20 [4194]E(f328(f328(f42(f918(x41941,a905),f918(x41941,a905)),x41942),f328(f328(f9(f918(x41941,a905),f918(x41941,a905),f918(x41941,a905)),f106(f918(x41941,a905))),x41943)),f328(f328(f106(f918(x41941,a905)),f40(f918(x41941,a905),x41942)),x41943))
% 27.83/28.20 [4200]E(f328(f144(f912(x42001),f912(x42001),f136(x42001),f117(x42001)),f328(f328(f153(f912(x42001)),x42002),x42003)),f328(f328(f136(x42001),x42002),f328(f144(f912(x42001),f912(x42001),f136(x42001),f117(x42001)),x42003)))
% 27.83/28.20 [4221]E(f328(f328(f310(f918(x42211,a905)),f328(f287(x42211,x42211,x42212),f328(f328(f310(x42211),x42213),f190(f918(x42211,a905))))),f190(f918(f918(x42211,a905),a905))),f328(f328(f63(x42211),f328(f328(f310(x42211),x42213),f190(f918(x42211,a905)))),x42212))
% 27.83/28.20 [4231]E(f328(f328(f83(a911),f328(f328(f84(a911),x42311),f328(f328(f39(a911),x42312),x42313))),f328(f328(f39(a911),f328(f328(f84(a911),x42311),f48(a911,x42312,x42313))),x42313)),f328(f328(f39(a911),f328(f328(f84(a911),x42311),x42312)),x42313))
% 27.83/28.20 [4232]E(f328(f328(f83(a1),f328(f328(f84(a1),x42321),f328(f328(f39(a1),x42322),x42323))),f328(f328(f39(a1),f328(f328(f84(a1),x42321),f48(a1,x42322,x42323))),x42323)),f328(f328(f39(a1),f328(f328(f84(a1),x42321),x42322)),x42323))
% 27.83/28.20 [4265]E(f328(f328(f3(f918(x42651,a905)),f328(f174(x42651),x42652)),f328(f328(f310(x42651),x42653),f190(f918(x42651,a905)))),f328(f174(x42651),f328(f138(x42651,f328(f328(f10(a905,a905,x42651),a323),f328(a325,x42653))),x42652)))
% 27.83/28.20 [4315]E(f328(f328(f136(x43151),f328(f144(f912(x43151),f912(x43151),f136(x43151),f117(x43151)),x43152)),f328(f144(f912(x43151),f912(x43151),f136(x43151),f117(x43151)),x43153)),f328(f144(f912(x43151),f912(x43151),f136(x43151),f117(x43151)),f328(f328(f136(f912(x43151)),x43152),x43153)))
% 27.83/28.20 [4318]E(f328(f328(f256(f912(x43181),f912(x43181)),f328(f138(x43181,x43182),x43183)),f328(f138(x43181,f328(f76(a905,a905,x43181,a323),x43182)),x43183)),f168(x43181,x43182,x43183))
% 27.83/28.20 [4321]E(f328(f328(f83(a911),f328(f328(f83(a911),f328(f328(f39(a911),x43211),x43212)),f328(f328(f39(a911),x43213),x43212))),f328(f328(f39(a911),f328(f328(f83(a911),f48(a911,x43211,x43212)),f48(a911,x43213,x43212))),x43212)),f328(f328(f39(a911),f328(f328(f83(a911),x43211),x43213)),x43212))
% 27.83/28.20 [4322]E(f328(f328(f83(a1),f328(f328(f83(a1),f328(f328(f39(a1),x43221),x43222)),f328(f328(f39(a1),x43223),x43222))),f328(f328(f39(a1),f328(f328(f83(a1),f48(a1,x43221,x43222)),f48(a1,x43223,x43222))),x43222)),f328(f328(f39(a1),f328(f328(f83(a1),x43221),x43223)),x43222))
% 27.83/28.20 [4375]E(f328(f328(f106(f918(f912(x43751),a905)),f328(f328(f9(f912(x43751),f918(f912(x43751),a905),a905),f330(f912(x43751))),f163(x43751,x43752))),f328(f328(f9(f912(x43751),f918(f912(x43751),a905),a905),f330(f912(x43751))),f163(x43751,x43753))),f162(x43751,f328(f328(f106(f918(x43751,a905)),f328(f328(f9(x43751,f918(x43751,a905),a905),f330(x43751)),x43752)),f328(f328(f9(x43751,f918(x43751,a905),a905),f330(x43751)),x43753))))
% 27.83/28.20 [4386]E(f328(f266(x43861),f328(f328(f20(x43861,a905,a905),f328(f328(f10(a905,f918(a905,a905),x43861),a327),f328(f328(f9(x43861,x43861,a905),a325),x43862))),f328(f328(f9(x43861,f918(x43861,a905),a905),f330(x43861)),x43863))),f328(f328(f310(x43861),x43862),x43863))
% 27.83/28.20 [4387]E(f328(f266(x43871),f328(f328(f20(x43871,a905,a905),f328(f328(f10(a905,f918(a905,a905),x43871),a327),f328(f328(f9(x43871,x43871,a905),a325),x43872))),f328(f328(f9(x43871,f918(x43871,a905),a905),f330(x43871)),x43873))),f328(f328(f310(x43871),x43872),x43873))
% 27.83/28.20 [4407]E(f328(f328(f89(f912(f912(x44071)),f912(f912(x44071))),f57(x44071,x44072)),f328(f328(f20(f912(f912(x44071)),f912(f912(x44071)),f912(f912(x44071))),f328(f328(f10(f912(f912(x44071)),f918(f912(f912(x44071)),f912(f912(x44071))),f912(f912(x44071))),f136(f912(x44071))),f328(f156(f912(x44071),f912(x44071)),f328(f153(x44071),x44073)))),f7(f912(f912(x44071))))),f57(x44071,f328(f328(f153(x44071),x44073),x44072)))
% 27.83/28.20 [4410]E(f328(f266(x44101),f328(f328(f20(x44101,a905,a905),f328(f328(f10(a905,f918(a905,a905),x44101),a327),f328(f328(f9(x44101,f918(x44101,a905),a905),f330(x44101)),x44102))),f328(f328(f9(x44101,f918(x44101,a905),a905),f330(x44101)),x44103))),f328(f328(f105(f918(x44101,a905)),x44102),x44103))
% 27.83/28.20 [4411]E(f328(f266(x44111),f328(f328(f20(x44111,a905,a905),f328(f328(f10(a905,f918(a905,a905),x44111),a326),f328(f328(f9(x44111,f918(x44111,a905),a905),f330(x44111)),x44112))),f328(f328(f9(x44111,f918(x44111,a905),a905),f330(x44111)),x44113))),f328(f328(f106(f918(x44111,a905)),x44112),x44113))
% 27.83/28.20 [4500]E(f328(f328(f42(x45001,f918(f918(x45001,a905),a905)),x45002),f328(f328(f9(x45001,f918(f918(x45001,a905),a905),f918(f918(x45001,a905),a905)),f328(f328(f10(f918(x45001,a905),f918(f918(f918(x45001,a905),a905),f918(f918(x45001,a905),a905)),x45001),f310(f918(x45001,a905))),f328(f328(f10(f918(x45001,a905),f918(x45001,a905),x45001),f287(x45001,x45001,x45003)),f328(f328(f9(x45001,f918(x45001,a905),f918(x45001,a905)),f310(x45001)),f190(f918(x45001,a905)))))),f190(f918(f918(x45001,a905),a905)))),f328(f328(f63(x45001),x45002),x45003))
% 27.83/28.20 [4502]E(f328(f328(f205(x45021),f328(f328(f84(a1),f328(f328(f76(f917(a1,a1),a1,x45021,f255(a1,a1)),f216(x45021)),x45022)),f328(f328(f76(f917(a1,a1),a1,x45021,f255(a1,a1)),f216(x45021)),x45023))),f328(f328(f84(a1),f328(f328(f76(f917(a1,a1),a1,x45021,f260(a1,a1)),f216(x45021)),x45022)),f328(f328(f76(f917(a1,a1),a1,x45021,f260(a1,a1)),f216(x45021)),x45023))),f232(x45021,x45022,x45023))
% 27.83/28.20 [4505]E(f328(f266(f912(x45051)),f328(f328(f20(f912(x45051),a905,a905),f328(f328(f10(a905,f918(a905,a905),f912(x45051)),a326),f328(f328(f9(f912(x45051),a911,a905),f328(f328(f10(a911,f918(a911,a905),f912(x45051)),a325),f191(f912(x45051)))),x45052))),f328(f328(f9(f912(x45051),f918(x45051,a905),a905),f328(f328(f10(f918(x45051,a905),f918(f918(x45051,a905),a905),f912(x45051)),f239(f918(x45051,a905))),f174(x45051))),f328(f174(x45051),x45053)))),f328(f174(f912(x45051)),f58(x45051,x45052,x45053)))
% 27.83/28.20 [3908]E(f48(a911,f328(f328(f83(a911),f328(f328(f84(a911),x39081),x39082)),x39083),x39082),f48(a911,x39083,x39082))
% 27.83/28.20 [3954]E(f141(a911,f328(f303(a911,f328(f328(f83(a911),x39541),x39542)),x39543)),f328(f328(f140(a911),x39542),f141(a911,f328(f303(a911,x39541),x39543))))
% 27.83/28.20 [3997]E(f328(f328(f83(a1),f328(f104(a1),x39971)),f328(f328(f83(a1),f328(f104(a1),x39972)),x39973)),f328(f328(f83(a1),f328(f104(a1),f328(f328(f83(a911),x39971),x39972))),x39973))
% 27.83/28.20 [4004]E(f328(f328(f3(f918(x40041,a905)),f328(f328(f3(f918(x40041,a905)),x40042),x40043)),x40043),f328(f328(f3(f918(x40041,a905)),x40042),x40043))
% 27.83/28.20 [4005]E(f328(f328(f105(f918(x40051,a905)),f328(f328(f3(f918(x40051,a905)),x40052),x40053)),x40053),f328(f328(f105(f918(x40051,a905)),x40052),x40053))
% 27.83/28.20 [4028]E(f328(f328(f290(x40281,x40281,x40282),f308(x40281,f190(f918(f917(x40281,x40281),a905)))),x40283),x40283)
% 27.83/28.20 [4036]E(f328(f328(f105(f918(x40361,a905)),f328(f283(x40361),x40362)),f328(f283(x40361),x40363)),f328(f283(x40361),f328(f328(f105(f918(f917(x40361,x40361),a905)),x40362),x40363)))
% 27.83/28.20 [4046]E(f270(x40461,f328(f328(f153(f917(a103,x40461)),f328(f328(f256(a103,x40461),f2(a103)),x40462)),x40463)),f270(x40461,x40463))
% 27.83/28.20 [4048]E(f328(f328(f105(f918(x40481,a905)),f40(f918(x40481,a905),x40482)),f40(f918(x40481,a905),x40483)),f40(f918(x40481,a905),f328(f328(f105(f918(f918(x40481,a905),a905)),x40482),x40483)))
% 27.83/28.20 [4049]E(f328(f328(f106(f918(x40491,a905)),f41(f918(x40491,a905),x40492)),f41(f918(x40491,a905),x40493)),f41(f918(x40491,a905),f328(f328(f105(f918(f918(x40491,a905),a905)),x40492),x40493)))
% 27.83/28.20 [4085]E(f328(f328(f290(x40851,x40851,x40851),f328(f328(f185(f917(x40851,x40851),a905),x40852),x40853)),x40853),f328(f328(f185(f917(x40851,x40851),a905),f328(a116,x40852)),x40853))
% 27.83/28.20 [4130]P107(f328(f328(f239(f918(x41301,a905)),f328(f328(f3(f918(x41301,a905)),x41302),x41303)),x41302))
% 27.83/28.20 [4131]P107(f328(f328(f239(f918(x41311,a905)),f328(f328(f106(f918(x41311,a905)),x41312),x41313)),x41313))
% 27.83/28.20 [4132]P107(f328(f328(f239(f918(x41321,a905)),f328(f328(f106(f918(x41321,a905)),x41322),x41323)),x41322))
% 27.83/28.20 [4156]E(f308(x41561,f328(f328(f105(f918(f917(x41561,x41561),a905)),f308(x41561,x41562)),f308(x41561,x41563))),f308(x41561,f328(f328(f105(f918(f917(x41561,x41561),a905)),x41562),x41563)))
% 27.83/28.20 [4160]E(f40(f918(x41601,a905),f328(f328(f310(f918(x41601,a905)),x41602),f328(f328(f310(f918(x41601,a905)),x41603),f190(f918(f918(x41601,a905),a905))))),f328(f328(f105(f918(x41601,a905)),x41602),x41603))
% 27.83/28.20 [4161]E(f41(f918(x41611,a905),f328(f328(f310(f918(x41611,a905)),x41612),f328(f328(f310(f918(x41611,a905)),x41613),f190(f918(f918(x41611,a905),a905))))),f328(f328(f106(f918(x41611,a905)),x41612),x41613))
% 27.83/28.20 [4166]E(f328(f328(f290(x41661,x41661,x41661),f328(f328(f185(f917(x41661,x41661),a905),x41662),x41663)),x41663),f328(f328(f290(x41661,x41661,x41661),x41663),f328(f328(f185(f917(x41661,x41661),a905),x41662),x41663)))
% 27.83/28.20 [4236]E(f328(f328(f105(f918(x42361,a905)),f328(f266(x42361),f328(f328(f9(x42361,x42361,a905),a325),x42362))),x42363),f328(f328(f310(x42361),x42362),x42363))
% 27.83/28.20 [4238]E(f328(a109,f328(f328(f11(x42381,a1),f328(f328(f10(a911,a1,x42381),f104(a1)),x42382)),x42383)),f328(f328(f11(x42381,a911),x42382),x42383))
% 27.83/28.20 [4239]E(f328(a109,f328(f328(f8(x42391,a1),f328(f328(f10(a911,a1,x42391),f104(a1)),x42392)),x42393)),f328(f328(f8(x42391,a911),x42392),x42393))
% 27.83/28.20 [4312]E(f328(f158(f912(x43121),x43121,f328(f173(x43121),x43122),f328(f18(f918(f912(x43121),f912(x43121)),x43121),f328(f328(f9(f912(x43121),f912(x43121),f912(x43121)),f136(x43121)),x43122))),x43123),f328(f173(x43121),f328(f328(f136(x43121),x43123),x43122)))
% 27.83/28.20 [4340]P107(f328(f328(f239(f918(f918(x43401,a905),a905)),f328(f328(f105(f918(f918(x43401,a905),a905)),f328(f309(x43401),x43402)),f328(f309(x43401),x43403))),f328(f309(x43401),f328(f328(f105(f918(x43401,a905)),x43402),x43403))))
% 27.83/28.20 [4429]E(f328(f266(x44291),f328(f328(f20(x44291,a905,a905),f328(f328(f10(a905,f918(a905,a905),x44291),a326),f328(f328(f9(x44291,f918(x44291,a905),a905),f330(x44291)),x44292))),f328(f328(f10(a905,a905,x44291),a323),f328(f328(f9(x44291,f918(x44291,a905),a905),f330(x44291)),x44293)))),f328(f328(f3(f918(x44291,a905)),x44292),x44293))
% 27.83/28.20 [4453]E(f328(f38(a911),f328(f266(a911),f328(f328(f20(a911,a905,a905),f328(f328(f10(a905,f918(a905,a905),a911),a326),f328(f328(f9(a911,a911,a905),f240(a911)),f328(f191(f912(x44531)),x44532)))),f328(f328(f10(x44531,a905,a911),x44533),f328(f166(x44531),x44532))))),f328(f191(f912(x44531)),f328(f138(x44531,x44533),x44532)))
% 27.83/28.20 [4455]E(f328(f191(f912(x44551)),f178(x44551,x44552,x44553)),f328(f38(a911),f328(f266(a911),f328(f328(f20(a911,a905,a905),f328(f328(f10(a905,f918(a905,a905),a911),a326),f328(f328(f9(a911,a911,a905),f240(a911)),f328(f191(f912(x44551)),x44552)))),f328(f328(f9(a911,f918(a911,a905),a905),f330(a911)),x44553)))))
% 27.83/28.20 [4551]E(f328(f328(f106(f918(f917(f912(x45511),f912(x45511)),a905)),f328(f311(f917(f917(x45511,f912(x45511)),f917(x45511,f912(x45511))),f917(f912(x45511),f912(x45511)),f262(f917(x45511,f912(x45511)),f912(x45511),f917(x45511,f912(x45511)),f912(x45511),f328(f261(x45511,f912(x45511),f912(x45511)),f153(x45511)),f328(f261(x45511,f912(x45511),f912(x45511)),f153(x45511)))),f320(x45511,f912(x45511),x45512,f328(f145(x45511,x45512),x45513)))),f328(f266(f917(f912(x45511),f912(x45511))),f328(f261(f912(x45511),f912(x45511),a905),f328(f328(f9(f912(x45511),f918(f912(x45511),a905),f918(f912(x45511),a905)),f328(f328(f10(f918(a905,a905),f918(f918(f912(x45511),a905),f918(f912(x45511),a905)),f912(x45511)),f10(a905,a905,f912(x45511))),f328(f328(f10(a905,f918(a905,a905),f912(x45511)),a326),f328(f328(f9(f912(x45511),a911,a905),f328(f328(f10(a911,f918(a911,a905),f912(x45511)),a325),f191(f912(x45511)))),f328(a116,x45513))))),f328(f328(f9(f912(x45511),a911,a905),f328(f328(f10(a911,f918(a911,a905),f912(x45511)),a325),f191(f912(x45511)))),f328(a116,x45513)))))),f328(f145(x45511,x45512),f328(a116,x45513)))
% 27.83/28.20 [4050]E(f48(a911,f328(a116,f328(f328(f83(a911),f328(f328(f84(a911),x40501),x40502)),x40503)),x40502),f48(a911,f328(a116,x40503),x40502))
% 27.83/28.20 [4298]E(f328(f266(x42981),f328(f328(f20(x42981,a905,a905),f328(f328(f10(a905,f918(a905,a905),x42981),a326),x42982)),x42983)),f328(f328(f106(f918(x42981,a905)),f328(f266(x42981),x42982)),f328(f266(x42981),x42983)))
% 27.83/28.20 [4299]E(f328(f266(x42991),f328(f328(f20(x42991,a905,a905),f328(f328(f10(a905,f918(a905,a905),x42991),a327),x42992)),x42993)),f328(f328(f105(f918(x42991,a905)),f328(f266(x42991),x42992)),f328(f266(x42991),x42993)))
% 27.83/28.20 [4301]E(f328(f328(f136(x43011),f328(f328(f140(x43011),f48(a911,x43012,f328(f191(f912(x43011)),x43013))),x43013)),f328(f328(f177(x43011),f48(a911,x43012,f328(f191(f912(x43011)),x43013))),x43013)),f328(f328(f328(f185(f912(x43011),f912(x43011)),x43012),f169(x43011)),x43013))
% 27.83/28.20 [4307]E(f328(f266(x43071),f328(f328(f20(x43071,a905,a905),f328(f328(f10(a905,f918(a905,a905),x43071),a331),x43072)),x43073)),f328(f328(f105(f918(x43071,a905)),f328(f82(f918(x43071,a905)),f328(f266(x43071),x43072))),f328(f266(x43071),x43073)))
% 27.83/28.20 [4323]E(f328(f328(f83(a911),f328(f191(f912(x43231)),f328(f138(x43231,x43232),x43233))),f328(f191(f912(x43231)),f328(f138(x43231,f328(f328(f10(a905,a905,x43231),a323),x43232)),x43233))),f328(f191(f912(x43231)),x43233))
% 27.83/28.20 [4346]P107(f328(f328(f239(f918(x43461,a905)),f328(f328(f105(f918(x43461,a905)),f41(f918(x43461,a905),x43462)),f41(f918(x43461,a905),x43463))),f41(f918(x43461,a905),f328(f328(f106(f918(f918(x43461,a905),a905)),x43462),x43463))))
% 27.83/28.20 [4360]E(f328(f174(x43601),f328(f138(x43601,f328(f328(f10(a905,a905,x43601),a323),f328(f328(f9(x43601,x43601,a905),a325),x43602))),x43603)),f328(f328(f3(f918(x43601,a905)),f328(f174(x43601),x43603)),f328(f328(f310(x43601),x43602),f190(f918(x43601,a905)))))
% 27.83/28.20 [4369]P107(f328(f328(f239(f918(f917(x43691,x43691),a905)),f328(f328(f105(f918(f917(x43691,x43691),a905)),f308(x43691,x43692)),f308(x43691,x43693))),f308(x43691,f328(f328(f105(f918(f917(x43691,x43691),a905)),x43692),x43693))))
% 27.83/28.20 [4392]E(f328(f328(f84(a911),f328(a116,f328(a116,f2(a911)))),f328(f328(f8(a911,a911),f328(f328(f10(a911,a911,a911),f328(f83(a911),x43921)),f328(f328(f9(a911,a911,a911),f84(a911)),x43922))),f328(f284(a911),x43923))),f328(f328(f84(a911),x43923),f328(f328(f83(a911),x43921),f328(f328(f83(a911),x43921),f328(f328(f84(a911),f328(f328(f3(a911),x43923),f81(a911))),x43922)))))
% 27.83/28.20 [4402]E(f328(f266(x44021),f328(f328(f20(x44021,a905,a905),f328(f328(f10(a905,f918(a905,a905),x44021),a326),f328(f328(f9(x44021,f918(x44021,a905),a905),f330(x44021)),f328(f174(x44021),x44022)))),x44023)),f328(f174(x44021),f328(f138(x44021,x44023),x44022)))
% 27.83/28.20 [4550]E(f328(f266(x45501),f328(f328(f10(f918(a911,a905),a905,x45501),f90(a911)),f328(f328(f9(x45501,f918(a911,a905),f918(a911,a905)),f328(f328(f10(f918(a911,f918(a905,a905)),f918(f918(a911,a905),f918(a911,a905)),x45501),f20(a911,a905,a905)),f328(f328(f10(f918(a911,a905),f918(a911,f918(a905,a905)),x45501),f328(f10(a905,f918(a905,a905),a911),a326)),f328(f328(f9(x45501,f918(a911,x45501),f918(a911,a905)),f328(f328(f10(f918(x45501,a905),f918(f918(a911,x45501),f918(a911,a905)),x45501),f10(x45501,a905,a911)),a325)),f328(f166(x45501),x45502))))),f328(f328(f20(a911,a905,a905),f328(f328(f10(a905,f918(a905,a905),a911),a326),f328(f328(f9(a911,a911,a905),f240(a911)),f328(f191(f912(x45501)),x45502)))),f328(f328(f9(a911,f918(a911,a905),a905),f330(a911)),x45503))))),f328(f174(x45501),f178(x45501,x45502,x45503)))
% 27.83/28.20 [4442]E(f328(f266(x44421),f328(f328(f20(x44421,a905,a905),f328(f328(f10(a905,f918(a905,a905),x44421),a331),f328(f328(f10(a905,a905,x44421),a323),f328(f328(f9(x44421,x44421,a905),a325),x44422)))),x44423)),f328(f328(f310(x44421),x44422),f328(f266(x44421),x44423)))
% 27.83/28.20 [4474]E(f328(f328(f156(f917(x44741,a911),x44741),f255(x44741,a911)),f328(f138(f917(x44741,a911),f328(f328(f9(f917(x44741,a911),f918(a911,a905),a905),f328(f328(f10(a911,f918(f918(a911,a905),a905),f917(x44741,a911)),f330(a911)),f260(x44741,a911))),x44742)),f328(f328(f183(x44741,a911),x44743),f141(a911,f328(f303(a911,f2(a911)),f328(f191(f912(x44741)),x44743)))))),f178(x44741,x44743,x44742))
% 27.83/28.20 [4501]E(f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f328(f328(f8(a911,a1),f328(f328(f10(a1,a1,a911),f328(f83(a1),x45011)),f328(f328(f9(a911,a1,a1),f328(f328(f10(a1,f918(a1,a1),a911),f84(a1)),f104(a1))),x45012))),f328(f284(a911),x45013))),f328(f328(f84(a1),f328(f104(a1),x45013)),f328(f328(f83(a1),x45011),f328(f328(f83(a1),x45011),f328(f328(f84(a1),f328(f104(a1),f328(f328(f3(a911),x45013),f81(a911)))),x45012)))))
% 27.83/28.20 [4543]E(f328(f266(f917(x45431,x45432)),f328(f261(x45431,x45432,a905),f328(f328(f9(x45431,f918(f917(x45432,x45431),a905),f918(x45432,a905)),f328(f328(f10(f918(x45432,f918(f918(f917(x45432,x45431),a905),a905)),f918(f918(f917(x45432,x45431),a905),f918(x45432,a905)),x45431),f9(x45432,f918(f917(x45432,x45431),a905),a905)),f328(f328(f10(f918(x45432,f917(x45432,x45431)),f918(x45432,f918(f918(f917(x45432,x45431),a905),a905)),x45431),f328(f10(f917(x45432,x45431),f918(f918(f917(x45432,x45431),a905),a905),x45432),f330(f917(x45432,x45431)))),f328(f9(x45432,x45431,f917(x45432,x45431)),f256(x45432,x45431))))),x45433))),f328(f288(x45432,x45431),x45433))
% 27.83/28.20 [4566]E(f328(f266(f912(x45661)),f328(f328(f10(f918(x45661,a905),a905,f912(x45661)),f90(x45661)),f328(f328(f10(f918(x45661,f918(f912(x45661),a905)),f918(x45661,a905),f912(x45661)),f328(f10(f918(f912(x45661),a905),a905,x45661),f90(f912(x45661)))),f328(f328(f9(f912(x45661),f918(x45661,f918(f912(x45661),a905)),f918(x45661,f918(f912(x45661),a905))),f328(f328(f10(f918(x45661,f918(f918(f912(x45661),a905),f918(f912(x45661),a905))),f918(f918(x45661,f918(f912(x45661),a905)),f918(x45661,f918(f912(x45661),a905))),f912(x45661)),f20(x45661,f918(f912(x45661),a905),f918(f912(x45661),a905))),f328(f328(f10(f918(x45661,f918(f912(x45661),f918(a905,a905))),f918(x45661,f918(f918(f912(x45661),a905),f918(f912(x45661),a905))),f912(x45661)),f328(f10(f918(f912(x45661),f918(a905,a905)),f918(f918(f912(x45661),a905),f918(f912(x45661),a905)),x45661),f20(f912(x45661),a905,a905))),f328(f328(f10(f918(x45661,f918(f912(x45661),a905)),f918(x45661,f918(f912(x45661),f918(a905,a905))),f912(x45661)),f328(f10(f918(f912(x45661),a905),f918(f912(x45661),f918(a905,a905)),x45661),f328(f10(a905,f918(a905,a905),f912(x45661)),a326))),f328(f328(f9(f912(x45661),f918(x45661,f918(f912(x45661),f912(x45661))),f918(x45661,f918(f912(x45661),a905))),f328(f328(f10(f918(f918(f912(x45661),f912(x45661)),f918(f912(x45661),a905)),f918(f918(x45661,f918(f912(x45661),f912(x45661))),f918(x45661,f918(f912(x45661),a905))),f912(x45661)),f10(f918(f912(x45661),f912(x45661)),f918(f912(x45661),a905),x45661)),f328(f328(f10(f918(f912(x45661),a905),f918(f918(f912(x45661),f912(x45661)),f918(f912(x45661),a905)),f912(x45661)),f10(f912(x45661),a905,f912(x45661))),a325))),f153(x45661)))))),f328(f328(f9(x45661,f918(f912(x45661),a905),f918(f912(x45661),a905)),f328(f328(f10(f918(a905,a905),f918(f918(f912(x45661),a905),f918(f912(x45661),a905)),x45661),f10(a905,a905,f912(x45661))),f328(f328(f10(a905,f918(a905,a905),x45661),a326),f328(f328(f9(x45661,f918(x45661,a905),a905),f330(x45661)),x45662)))),f328(f328(f9(f912(x45661),f918(f912(x45661),a905),a905),f330(f912(x45661))),x45663)))))),f176(x45661,x45662,x45663))
% 27.83/28.20 [4563]E(f328(f328(f89(a1,f917(a1,a1)),f328(f328(f3(a1),x45631),x45632)),f328(f328(f9(a1,f917(a1,a1),f917(a1,a1)),f328(f328(f20(a1,f917(a1,a1),f918(f917(a1,a1),f917(a1,a1))),f328(f328(f10(a905,f918(f917(a1,a1),f918(f917(a1,a1),f917(a1,a1))),a1),f100(f917(a1,a1))),f328(f239(a1),f2(a1)))),f328(f256(a1,a1),f328(f328(f83(a1),f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x45633)),f81(a1))))),f328(f328(f256(a1,a1),f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x45633)),x45631))),f328(f46(x45632),f328(f328(f256(a1,a1),x45633),x45631)))
% 27.83/28.20 [4595]~E(f27(x45951,x45952),f34(x45953,x45954))
% 27.83/28.20 [4596]~E(f27(x45961,x45962),f34(x45963,x45964))
% 27.83/28.20 [4597]~E(f33(x45971,x45972),f34(x45973,x45974))
% 27.83/28.20 [4598]~E(f33(x45981,x45982),f27(x45983,x45984))
% 27.83/28.20 [4599]~E(f33(x45991,x45992),f34(x45993,x45994))
% 27.83/28.20 [4600]~E(f33(x46001,x46002),f27(x46003,x46004))
% 27.83/28.20 [4621]~E(f328(a26,x46211),f29(x46212,x46213,x46214))
% 27.83/28.20 [4622]~E(f328(a26,x46221),f31(x46222,x46223,x46224))
% 27.83/28.20 [4623]~E(f328(a26,x46231),f30(x46232,x46233,x46234))
% 27.83/28.20 [4624]~E(f29(x46241,x46242,x46243),f328(a26,x46244))
% 27.83/28.20 [4625]~E(f31(x46251,x46252,x46253),f328(a26,x46254))
% 27.83/28.20 [4626]~E(f30(x46261,x46262,x46263),f328(a26,x46264))
% 27.83/28.20 [3602]E(f120(x36021,f328(x36022,x36023),f328(x36024,x36023)),f328(f207(x36021,x36022,x36024),x36023))
% 27.83/28.20 [3656]E(f328(f328(f249(x36561,x36562,x36563),x36564),f2(a911)),x36562)
% 27.83/28.20 [3696]E(f187(x36961,x36962,x36963,f328(a116,x36964)),f328(x36963,x36964))
% 27.83/28.20 [3738]E(f172(x37381,x37382,f172(x37381,x37383,x37384)),f172(x37381,x37383,f172(x37381,x37382,x37384)))
% 27.83/28.20 [3739]E(f129(x37391,x37392,f120(x37391,x37393,x37394)),f120(x37391,f129(x37391,x37392,x37393),x37394))
% 27.83/28.20 [3862]P47(f27(x38621,x38622),x38623,x38624,f328(f328(f328(a198,x38623),x38621),f328(x38622,x38623)))
% 27.83/28.20 [3863]P47(f27(x38631,x38632),x38633,x38634,f328(f328(f328(a198,x38633),x38631),f328(x38632,x38633)))
% 27.83/28.20 [3876]E(f328(f158(x38761,x38762,x38763,x38764),f117(x38762)),x38763)
% 27.83/28.20 [3877]E(f328(f144(x38771,x38772,x38773,x38774),f117(x38772)),x38774)
% 27.83/28.20 [3914]E(f328(f191(f916(x39141,x39142)),f224(x39141,x39142,x39143,x39144)),f2(a911))
% 27.83/28.20 [3939]E(f328(f261(x39391,x39392,x39393),f259(x39391,x39392,x39393,x39394)),x39394)
% 27.83/28.20 [3982]E(f328(f328(f136(x39821),f171(x39821,x39822,x39823)),f171(x39821,x39824,x39823)),f328(f328(f136(x39821),f171(x39821,x39824,x39823)),f171(x39821,x39822,x39823)))
% 27.83/28.20 [4069]E(f328(f328(f263(x40691,x40692,x40693,f917(x40692,x40693)),x40694),f256(x40692,x40693)),x40694)
% 27.83/28.20 [4079]E(f130(x40791,x40792,x40793,x40794,f123(x40792)),x40793)
% 27.83/28.20 [4084]E(f78(x40841,x40842,x40843,x40844,f328(x40843,x40844)),x40843)
% 27.83/28.20 [4352]P49(x43521,x43522,x43523,x43524,f190(f918(x43521,a905)),x43524)
% 27.83/28.20 [4353]P49(x43531,x43532,x43533,x43534,f190(f918(x43531,a905)),x43534)
% 27.83/28.20 [3403]E(f328(f328(f18(x34031,x34032),x34033),x34034),x34033)
% 27.83/28.20 [3686]E(f172(x36861,x36862,f328(f138(x36861,x36863),x36864)),f328(f138(x36861,x36863),f172(x36861,x36862,x36864)))
% 27.83/28.20 [3721]E(f328(f328(f67(x37211,x37212,x37213),x37214),f190(f918(x37211,a905))),x37214)
% 27.83/28.20 [3745]E(f328(f328(f166(x37451),f328(f328(f153(x37451),x37452),x37453)),f328(a116,x37454)),f328(f328(f166(x37451),x37453),x37454))
% 27.83/28.20 [3789]P33(x37891,f2(a911),f328(f328(f328(f94(x37891),x37892),f328(a26,x37893)),x37894))
% 27.83/28.20 [3813]E(f328(f328(x38131,x38132),f328(f186(x38133,x38134,x38131),x38132)),f328(f186(x38133,x38134,x38131),f328(a116,x38132)))
% 27.83/28.20 [3855]E(f259(x38551,x38552,x38553,f328(f261(x38551,x38552,x38553),x38554)),x38554)
% 27.83/28.20 [3912]E(f328(f328(f161(x39121,f328(f328(f153(x39121),x39122),x39123)),f2(a911)),x39124),f328(f328(f153(x39121),x39124),x39123))
% 27.83/28.20 [3924]E(f328(f328(f42(f918(x39241,a905),f918(x39242,a905)),x39243),f311(x39241,x39242,x39244)),f328(f311(x39241,x39242,x39244),f40(f918(x39241,a905),x39243)))
% 27.83/28.20 [3925]E(f328(f328(f42(f918(x39251,a905),f918(x39252,a905)),x39253),f312(x39252,x39251,x39254)),f328(f312(x39252,x39251,x39254),f40(f918(x39251,a905),x39253)))
% 27.83/28.20 [4025]E(f328(f128(x40251,x40252),f129(x40251,x40253,x40254)),f328(f328(f83(a911),f328(f328(f83(a911),f328(x40252,x40253)),f328(f128(x40251,x40252),x40254))),f328(a116,f2(a911))))
% 27.83/28.20 [4045]E(f328(f144(x40451,x40452,f328(f9(x40452,x40451,x40451),x40453),x40454),f328(f170(x40452),f117(x40452))),x40454)
% 27.83/28.20 [4150]E(f227(x41501,f917(x41502,f913(x41502)),x41503,f328(f261(x41502,f913(x41502),x41501),x41504),f328(f137(x41502),f123(x41502))),x41503)
% 27.83/28.20 [4283]E(f328(f261(x42831,x42832,x42833),f328(f328(f10(f918(x42832,f917(x42831,x42832)),f918(x42832,x42833),x42831),f328(f10(f917(x42831,x42832),x42833,x42832),x42834)),f256(x42831,x42832))),x42834)
% 27.83/28.20 [3593]E(f328(f260(x35931,x35932),f328(f328(f256(x35931,x35932),x35933),x35934)),x35934)
% 27.83/28.20 [3594]E(f328(f255(x35941,x35942),f328(f328(f256(x35941,x35942),x35943),x35944)),x35943)
% 27.83/28.20 [3629]E(f328(f191(f912(x36291)),f328(f328(f161(x36291,x36292),x36293),x36294)),f328(f191(f912(x36291)),x36292))
% 27.83/28.20 [3630]E(f328(f191(f912(x36301)),f328(f328(f156(x36302,x36301),x36303),x36304)),f328(f191(f912(x36302)),x36304))
% 27.83/28.20 [3651]E(f328(f328(f140(x36511),f328(a116,x36512)),f328(f328(f153(x36511),x36513),x36514)),f328(f328(f140(x36511),x36512),x36514))
% 27.83/28.20 [3716]E(f328(f328(f177(x37161),x37162),f171(x37161,x37163,x37164)),f171(x37161,f328(f328(f243(a911),x37162),x37163),x37164))
% 27.83/28.20 [3717]E(f328(f328(f140(x37171),x37172),f171(x37171,x37173,x37174)),f171(x37171,f328(f328(f3(a911),x37173),x37172),x37174))
% 27.83/28.20 [3723]E(f328(f328(f310(x37231),x37232),f328(f328(f310(x37231),x37233),x37234)),f328(f328(f310(x37231),x37233),f328(f328(f310(x37231),x37232),x37234)))
% 27.83/28.20 [3727]E(f328(f328(f156(x37271,x37272),x37273),f118(x37271,x37274)),f118(x37272,f328(f328(f156(x37271,x37272),x37273),x37274)))
% 27.83/28.20 [3743]E(f328(f170(x37431),f328(f328(f156(x37432,x37431),x37433),x37434)),f328(f328(f156(x37432,x37431),x37433),f328(f170(x37432),x37434)))
% 27.83/28.20 [3744]E(f328(f328(f156(x37441,x37442),x37443),f328(f173(x37441),x37444)),f328(f173(x37442),f328(f328(f156(x37441,x37442),x37443),x37444)))
% 27.83/28.20 [3758]E(f328(f328(f177(x37581),f328(a116,x37582)),f328(f328(f153(x37581),x37583),x37584)),f328(f328(f153(x37581),x37583),f328(f328(f177(x37581),x37582),x37584)))
% 27.83/28.20 [3762]E(f328(f174(x37621),f328(f328(f156(x37622,x37621),x37623),x37624)),f328(f311(x37622,x37621,x37623),f328(f174(x37622),x37624)))
% 27.83/28.20 [3775]E(f328(f328(f156(x37751,x37752),f328(f18(x37752,x37751),x37753)),x37754),f171(x37752,f328(f191(f912(x37751)),x37754),x37753))
% 27.83/28.20 [3812]E(f19(x38121,x38122,x38123,f328(a5,f328(a116,f328(a22,x38124)))),f328(x38123,x38124))
% 27.83/28.20 [3816]E(f328(f328(f136(x38161),f328(f138(x38161,x38162),x38163)),f328(f138(x38161,x38162),x38164)),f328(f138(x38161,x38162),f328(f328(f136(x38161),x38163),x38164)))
% 27.83/28.20 [3829]E(f154(x38291,f328(f328(f156(x38292,x38291),x38293),f154(x38292,x38294))),f154(x38291,f328(f328(f156(x38292,x38291),x38293),x38294)))
% 27.83/28.20 [3844]E(f328(f288(x38441,x38441),f328(f328(f289(x38442,x38441),x38443),x38444)),f328(f328(f289(x38442,x38441),f328(f288(x38442,x38442),x38443)),x38444))
% 27.83/28.20 [3856]E(f328(f328(f290(x38561,x38562,x38563),x38564),f190(f918(f917(x38562,x38563),a905))),f190(f918(f917(x38561,x38563),a905)))
% 27.83/28.20 [3857]E(f328(f328(f177(x38571),f328(f328(f3(a911),x38572),x38573)),f328(f328(f140(x38571),x38573),x38574)),f328(f328(f140(x38571),x38573),f328(f328(f177(x38571),x38572),x38574)))
% 27.83/28.20 [3878]E(f328(f328(f136(x38781),f171(x38781,x38782,x38783)),f171(x38781,x38784,x38783)),f171(x38781,f328(f328(f83(a911),x38782),x38784),x38783))
% 27.83/28.20 [3879]E(f328(f328(f328(f280(x38791),x38792),x38793),x38794),f328(f256(f918(a103,f918(a905,f915(f913(x38791)))),f917(a103,a103)),f328(f45(x38791),x38792)))
% 27.83/28.20 [3903]E(f40(f918(x39031,a905),f328(f311(x39032,f918(x39031,a905),x39033),x39034)),f328(f328(f42(x39032,f918(x39031,a905)),x39034),x39033))
% 27.83/28.20 [3904]E(f41(f918(x39041,a905),f328(f311(x39042,f918(x39041,a905),x39043),x39044)),f328(f328(f43(x39042,f918(x39041,a905)),x39044),x39043))
% 27.83/28.20 [3905]E(f40(f918(x39051,a905),f328(f311(x39052,f918(x39051,a905),x39053),x39054)),f328(f328(f42(x39052,f918(x39051,a905)),x39054),x39053))
% 27.83/28.20 [3906]E(f41(f918(x39061,a905),f328(f311(x39062,f918(x39061,a905),x39063),x39064)),f328(f328(f43(x39062,f918(x39061,a905)),x39064),x39063))
% 27.83/28.20 [3907]E(f328(f191(f912(f917(x39071,x39072))),f328(f328(f183(x39071,x39072),x39073),x39074)),f328(f328(f243(a911),f328(f191(f912(x39071)),x39073)),f328(f191(f912(x39072)),x39074)))
% 27.83/28.20 [3909]E(f328(f312(x39091,x39092,x39093),f328(f82(f918(x39092,a905)),x39094)),f328(f82(f918(x39091,a905)),f328(f312(x39091,x39092,x39093),x39094)))
% 27.83/28.20 [3959]E(f328(f312(x39591,x39592,x39593),f328(f266(x39592),x39594)),f328(f266(x39591),f328(f328(f10(x39592,a905,x39591),x39594),x39593)))
% 27.83/28.20 [3977]E(f328(f328(f166(x39771),f328(f328(f136(x39771),x39772),f328(f328(f153(x39771),x39773),x39774))),f328(f191(f912(x39771)),x39772)),x39773)
% 27.83/28.20 [4002]E(f328(f311(x40021,x40022,x40023),f328(f312(x40021,x40022,x40023),x40024)),f328(f328(f106(f918(x40022,a905)),x40024),f328(f311(x40021,x40022,x40023),f246(f918(x40021,a905)))))
% 27.83/28.20 [4021]P107(f328(f328(f330(x40211),f328(x40212,x40213)),f328(f311(x40214,x40211,x40212),f246(f918(x40214,a905)))))
% 27.83/28.20 [4029]E(f21(x40291,x40292,x40293,f328(a5,f328(a116,f328(a22,x40294)))),f328(f328(x40293,x40294),f21(x40291,x40292,x40293,x40294)))
% 27.83/28.20 [4033]E(f328(f328(f136(x40331),f171(x40331,x40332,x40333)),f328(f328(f153(x40331),x40333),x40334)),f328(f328(f153(x40331),x40333),f328(f328(f136(x40331),f171(x40331,x40332,x40333)),x40334)))
% 27.83/28.20 [4035]E(f328(f328(f258(x40351,x40352),f328(f174(x40351),x40353)),f328(f18(f918(x40352,a905),x40351),f328(f174(x40352),x40354))),f328(f174(f917(x40351,x40352)),f62(x40351,x40352,x40353,x40354)))
% 27.83/28.20 [4047]E(f157(x40471,x40472,f328(f328(f153(x40471),x40473),x40474)),f328(f328(f83(a911),f328(f328(f83(a911),f328(x40472,x40473)),f157(x40471,x40472,x40474))),f328(a116,f2(a911))))
% 27.83/28.20 [4060]E(f187(f912(x40601),f328(f328(f153(x40601),x40602),x40603),f328(f328(f9(a911,f912(x40601),f912(x40601)),f140(x40601)),x40603),x40604),f328(f328(f140(x40601),x40604),f328(f328(f153(x40601),x40602),x40603)))
% 27.83/28.20 [4061]P30(x40611,f917(x40612,x40611),f332(x40613,x40614,x40612,x40611),f328(f328(f42(x40612,f918(x40611,a905)),x40614),x40613))
% 27.83/28.20 [4070]E(f328(f328(f3(f918(x40701,a905)),f328(f328(f3(f918(x40701,a905)),x40702),x40703)),f328(f328(f310(x40701),x40704),f190(f918(x40701,a905)))),f328(f328(f3(f918(x40701,a905)),x40702),f328(f328(f310(x40701),x40704),x40703)))
% 27.83/28.20 [4082]E(f328(f328(f185(f918(x40821,x40822),f918(x40821,x40822)),x40823),f76(x40822,x40822,x40821,x40824)),f76(x40822,x40822,x40821,f328(f328(f185(x40822,x40822),x40823),x40824)))
% 27.83/28.20 [4155]E(f328(f328(f328(f185(f912(x41551),f912(x41551)),x41552),f169(x41551)),f328(f328(f328(f185(f912(x41551),f912(x41551)),x41553),f169(x41551)),x41554)),f328(f328(f328(f185(f912(x41551),f912(x41551)),f328(f328(f83(a911),x41552),x41553)),f169(x41551)),x41554))
% 27.83/28.20 [4241]P107(f328(f328(f239(f918(x42411,a905)),f328(f174(x42411),f328(f328(f161(x42411,x42412),x42413),x42414))),f328(f328(f310(x42411),x42414),f328(f174(x42411),x42412))))
% 27.83/28.20 [4273]E(f328(f328(f42(f918(x42731,a905),f918(f917(x42731,x42732),a905)),x42733),f328(f328(f9(f918(x42731,a905),f918(x42731,f918(x42732,a905)),f918(f917(x42731,x42732),a905)),f258(x42731,x42732)),x42734)),f328(f328(f258(x42731,x42732),f40(f918(x42731,a905),x42733)),x42734))
% 27.83/28.20 [4311]E(f213(x43111,x43112,x43113,f328(f76(x43112,f918(a103,f918(a103,f918(f917(a103,a103),f918(a103,f913(x43112))))),x43111,f212(x43112)),x43114)),f214(x43111,x43112,x43114,x43113))
% 27.83/28.20 [4326]E(f209(x43261,x43262,x43263,f328(f76(x43262,f918(a103,f918(a103,f918(f917(a103,a103),f918(a103,f913(f915(x43262)))))),x43261,f208(x43262)),x43264)),f210(x43261,x43262,x43264,x43263))
% 27.83/28.20 [4330]P107(f328(f69(x43301,x43302,x43303,x43304,f190(f918(x43301,a905))),x43304))
% 27.83/28.20 [4331]P107(f328(f69(x43311,x43312,x43313,x43314,f190(f918(x43311,a905))),x43314))
% 27.83/28.20 [4370]E(f328(f328(f42(x43701,f918(x43702,a905)),x43703),f328(f328(f9(x43701,f918(x43702,a905),f918(x43702,a905)),f328(f328(f10(x43702,f918(f918(x43702,a905),f918(x43702,a905)),x43701),f310(x43702)),x43704)),f190(f918(x43702,a905)))),f328(f311(x43701,x43702,x43704),x43703))
% 27.83/28.20 [4377]P107(f328(f328(f239(f918(x43771,a905)),f328(f286(x43772,x43771),f328(f328(f106(f918(f917(x43772,x43771),a905)),x43773),x43774))),f328(f328(f106(f918(x43771,a905)),f328(f286(x43772,x43771),x43773)),f328(f286(x43772,x43771),x43774))))
% 27.83/28.20 [4378]P107(f328(f328(f239(f918(x43781,a905)),f328(f268(x43781,x43782),f328(f328(f106(f918(f917(x43781,x43782),a905)),x43783),x43784))),f328(f328(f106(f918(x43781,a905)),f328(f268(x43781,x43782),x43783)),f328(f268(x43781,x43782),x43784))))
% 27.83/28.20 [4438]P107(f328(f328(f239(f918(f917(x44381,x44382),a905)),f328(f311(x44382,f917(x44381,x44382),f332(x44383,x44384,x44381,x44382)),f328(f328(f42(x44381,f918(x44382,a905)),x44384),x44383))),f328(f328(f258(x44381,x44382),x44384),x44383)))
% 27.83/28.20 [4439]E(f328(f122(x44391,f917(x44391,x44392),x44393),f328(f328(f10(f918(x44392,f913(f917(x44391,x44392))),f913(f917(x44391,x44392)),x44391),f122(x44392,f917(x44391,x44392),x44394)),f328(f328(f10(f918(x44392,f917(x44391,x44392)),f918(x44392,f913(f917(x44391,x44392))),x44391),f328(f10(f917(x44391,x44392),f913(f917(x44391,x44392)),x44392),f132(f917(x44391,x44392)))),f256(x44391,x44392)))),f133(x44391,x44392,x44393,x44394))
% 27.83/28.20 [4440]E(f278(x44401,x44402,x44403,f328(f76(x44402,f918(a103,f918(a103,f918(f917(a103,a103),f917(f918(a103,f918(a905,f915(f913(x44402)))),f917(a103,a103))))),x44401,f280(x44402)),x44404)),f281(x44401,x44402,x44404,x44403))
% 27.83/28.20 [4480]E(f88(f917(x44801,x44802),f328(f261(x44801,x44802,a905),f328(f328(f9(x44801,f918(x44802,a905),f918(x44802,a905)),f328(f328(f10(f918(a905,a905),f918(f918(x44802,a905),f918(x44802,a905)),x44801),f10(a905,a905,x44802)),f328(f328(f10(a905,f918(a905,a905),x44801),a326),f328(a325,x44803)))),f328(a325,x44804)))),f328(f328(f256(x44801,x44802),x44803),x44804))
% 27.83/28.20 [4481]E(f93(f917(x44811,x44812),f328(f261(x44811,x44812,a905),f328(f328(f9(x44811,f918(x44812,a905),f918(x44812,a905)),f328(f328(f10(f918(a905,a905),f918(f918(x44812,a905),f918(x44812,a905)),x44811),f10(a905,a905,x44812)),f328(f328(f10(a905,f918(a905,a905),x44811),a326),f328(a325,x44813)))),f328(a325,x44814)))),f328(f328(f256(x44811,x44812),x44813),x44814))
% 27.83/28.20 [4554]E(f328(f328(f261(f912(x45541),f912(x45541),f917(f912(x45541),f912(x45541))),f328(f328(f20(f912(x45541),f918(f912(x45541),f917(f912(x45541),f912(x45541))),f918(f912(x45541),f917(f912(x45541),f912(x45541)))),f328(f328(f10(f918(f912(x45541),f918(f917(f912(x45541),f912(x45541)),f917(f912(x45541),f912(x45541)))),f918(f918(f912(x45541),f917(f912(x45541),f912(x45541))),f918(f912(x45541),f917(f912(x45541),f912(x45541)))),f912(x45541)),f20(f912(x45541),f917(f912(x45541),f912(x45541)),f917(f912(x45541),f912(x45541)))),f328(f328(f10(f918(f912(x45541),f917(f912(x45541),f912(x45541))),f918(f912(x45541),f918(f917(f912(x45541),f912(x45541)),f917(f912(x45541),f912(x45541)))),f912(x45541)),f328(f10(f917(f912(x45541),f912(x45541)),f918(f917(f912(x45541),f912(x45541)),f917(f912(x45541),f912(x45541))),f912(x45541)),f328(f100(f917(f912(x45541),f912(x45541))),f328(x45542,x45543)))),f328(f328(f10(f912(x45541),f918(f912(x45541),f917(f912(x45541),f912(x45541))),f912(x45541)),f256(f912(x45541),f912(x45541))),f328(f153(x45541),x45543))))),f328(f328(f9(f912(x45541),f918(f912(x45541),f912(x45541)),f918(f912(x45541),f917(f912(x45541),f912(x45541)))),f328(f328(f10(f918(f912(x45541),f917(f912(x45541),f912(x45541))),f918(f918(f912(x45541),f912(x45541)),f918(f912(x45541),f917(f912(x45541),f912(x45541)))),f912(x45541)),f10(f912(x45541),f917(f912(x45541),f912(x45541)),f912(x45541))),f256(f912(x45541),f912(x45541)))),f328(f153(x45541),x45543)))),f168(x45541,x45542,x45544)),f168(x45541,x45542,f328(f328(f153(x45541),x45543),x45544)))
% 27.83/28.20 [3668]E(f328(f191(f910(x36681)),f328(f328(f328(f94(x36681),x36682),x36683),x36684)),f2(a911))
% 27.83/28.20 [3792]E(f328(f328(f177(x37921),x37922),f328(f328(f177(x37921),x37923),x37924)),f328(f328(f177(x37921),f328(f328(f243(a911),x37922),x37923)),x37924))
% 27.83/28.20 [3793]E(f328(f328(f140(x37931),x37932),f328(f328(f140(x37931),x37933),x37934)),f328(f328(f140(x37931),f328(f328(f83(a911),x37932),x37933)),x37934))
% 27.83/28.20 [3804]E(f328(f328(f136(x38041),f328(f328(f136(x38041),x38042),x38043)),x38044),f328(f328(f136(x38041),x38042),f328(f328(f136(x38041),x38043),x38044)))
% 27.83/28.20 [3805]E(f328(f328(f136(x38051),f328(f328(f153(x38051),x38052),x38053)),x38054),f328(f328(f153(x38051),x38052),f328(f328(f136(x38051),x38053),x38054)))
% 27.83/28.20 [3889]E(f328(f328(f166(x38891),f328(f328(f153(x38891),x38892),x38893)),x38894),f187(x38891,x38892,f328(f166(x38891),x38893),x38894))
% 27.83/28.20 [3898]E(f328(f328(f185(x38981,x38981),x38982),f328(f328(f185(x38981,x38981),x38983),x38984)),f328(f328(f185(x38981,x38981),f328(f328(f84(a911),x38983),x38982)),x38984))
% 27.83/28.20 [3927]E(f328(f328(f105(f918(x39271,a905)),x39272),f328(f328(f310(x39271),x39273),x39274)),f328(f328(f310(x39271),x39273),f328(f328(f105(f918(x39271,a905)),x39272),x39274)))
% 27.83/28.20 [3942]E(f328(f328(f328(f185(x39421,x39421),x39422),x39423),f328(x39423,x39424)),f328(x39423,f328(f328(f328(f185(x39421,x39421),x39422),x39423),x39424)))
% 27.83/28.20 [3950]E(f328(f328(f290(x39501,x39502,x39503),f190(f918(f917(x39501,x39502),a905))),x39504),f190(f918(f917(x39501,x39503),a905)))
% 27.83/28.20 [3965]E(f328(f328(f105(f918(x39651,a905)),f328(f328(f310(x39651),x39652),x39653)),x39654),f328(f328(f310(x39651),x39652),f328(f328(f105(f918(x39651,a905)),x39653),x39654)))
% 27.83/28.20 [3984]E(f328(f38(f917(x39841,x39842)),f328(f328(f258(x39841,x39842),x39843),f328(f18(f918(x39842,a905),x39841),x39844))),f328(f328(f84(a911),f328(f38(x39841),x39843)),f328(f38(x39842),x39844)))
% 27.83/28.20 [3993]E(f328(f328(f106(f918(x39931,a905)),f328(f328(f310(x39931),x39932),x39933)),f328(f328(f310(x39931),x39932),x39934)),f328(f328(f310(x39931),x39932),f328(f328(f106(f918(x39931,a905)),x39933),x39934)))
% 27.83/28.20 [4006]E(f328(f328(f105(f918(x40061,a905)),x40062),f328(f328(f105(f918(x40061,a905)),x40063),x40064)),f328(f328(f105(f918(x40061,a905)),x40063),f328(f328(f105(f918(x40061,a905)),x40062),x40064)))
% 27.83/28.20 [4007]E(f328(f328(f106(f918(x40071,a905)),x40072),f328(f328(f106(f918(x40071,a905)),x40073),x40074)),f328(f328(f106(f918(x40071,a905)),x40073),f328(f328(f106(f918(x40071,a905)),x40072),x40074)))
% 27.83/28.20 [4017]E(f67(x40171,x40172,f328(f328(f10(x40172,f918(x40172,x40172),x40171),x40173),x40174)),f328(f68(x40172,x40171,x40173),x40174))
% 27.83/28.20 [4026]E(f181(x40261,f328(f328(f156(f912(x40262),f912(x40261)),f328(f156(x40262,x40261),x40263)),x40264)),f328(f328(f156(f912(x40262),f912(x40261)),f328(f156(x40262,x40261),x40263)),f181(x40262,x40264)))
% 27.83/28.20 [4043]E(f328(f144(f912(x40431),f912(x40431),f136(x40431),f117(x40431)),f328(f328(f156(x40432,f912(x40431)),x40433),x40434)),f165(x40432,x40431,x40433,x40434))
% 27.83/28.20 [4044]E(f328(f144(f912(x40441),f912(x40441),f136(x40441),f117(x40441)),f328(f328(f156(x40442,f912(x40441)),x40443),x40444)),f165(x40442,x40441,x40443,x40444))
% 27.83/28.20 [4102]E(f328(f76(x41021,x41021,x41021,f328(f328(f185(x41021,x41021),x41022),x41023)),f328(f328(f185(x41021,x41021),x41024),x41023)),f328(f328(f185(x41021,x41021),f328(f328(f83(a911),x41022),x41024)),x41023))
% 27.83/28.20 [4125]E(f328(f328(f106(f918(x41251,a905)),f328(f328(f3(f918(x41251,a905)),x41252),x41253)),f328(f328(f3(f918(x41251,a905)),x41252),x41254)),f328(f328(f3(f918(x41251,a905)),x41252),f328(f328(f105(f918(x41251,a905)),x41253),x41254)))
% 27.83/28.20 [4126]E(f328(f328(f105(f918(x41261,a905)),f328(f328(f3(f918(x41261,a905)),x41262),x41263)),f328(f328(f3(f918(x41261,a905)),x41262),x41264)),f328(f328(f3(f918(x41261,a905)),x41262),f328(f328(f106(f918(x41261,a905)),x41263),x41264)))
% 27.83/28.20 [4127]E(f328(f328(f106(f918(x41271,a905)),f328(f328(f105(f918(x41271,a905)),x41272),x41273)),f328(f328(f105(f918(x41271,a905)),x41272),x41274)),f328(f328(f105(f918(x41271,a905)),x41272),f328(f328(f106(f918(x41271,a905)),x41273),x41274)))
% 27.83/28.20 [4128]E(f328(f328(f3(f918(x41281,a905)),f328(f328(f106(f918(x41281,a905)),x41282),x41283)),f328(f328(f106(f918(x41281,a905)),x41282),x41284)),f328(f328(f106(f918(x41281,a905)),x41282),f328(f328(f3(f918(x41281,a905)),x41283),x41284)))
% 27.83/28.20 [4129]E(f328(f328(f105(f918(x41291,a905)),f328(f328(f106(f918(x41291,a905)),x41292),x41293)),f328(f328(f106(f918(x41291,a905)),x41292),x41294)),f328(f328(f106(f918(x41291,a905)),x41292),f328(f328(f105(f918(x41291,a905)),x41293),x41294)))
% 27.83/28.20 [4134]E(f328(f38(f917(x41341,x41342)),f328(f328(f258(x41341,x41342),f328(f328(f310(x41341),x41343),f190(f918(x41341,a905)))),f328(f18(f918(x41342,a905),x41341),x41344))),f328(f38(x41342),x41344))
% 27.83/28.20 [4169]E(f328(f328(f43(x41691,f918(x41692,a905)),x41693),f328(f328(f10(f918(x41692,a905),f918(x41692,a905),x41691),f82(f918(x41692,a905))),x41694)),f328(f82(f918(x41692,a905)),f328(f328(f42(x41691,f918(x41692,a905)),x41693),x41694)))
% 27.83/28.20 [4170]E(f328(f328(f42(x41701,f918(x41702,a905)),x41703),f328(f328(f10(f918(x41702,a905),f918(x41702,a905),x41701),f82(f918(x41702,a905))),x41704)),f328(f82(f918(x41702,a905)),f328(f328(f43(x41701,f918(x41702,a905)),x41703),x41704)))
% 27.83/28.20 [4186]E(f328(f328(f290(x41861,x41861,x41861),f328(f328(f185(f917(x41861,x41861),a905),x41862),x41863)),f328(f328(f185(f917(x41861,x41861),a905),x41864),x41863)),f328(f328(f185(f917(x41861,x41861),a905),f328(f328(f83(a911),x41862),x41864)),x41863))
% 27.83/28.20 [4216]E(f328(f328(f43(x42161,f918(f918(x42162,a905),a905)),x42163),f328(f328(f10(f918(x42162,a905),f918(f918(x42162,a905),a905),x42161),f309(x42162)),x42164)),f328(f309(x42162),f328(f328(f43(x42161,f918(x42162,a905)),x42163),x42164)))
% 27.83/28.20 [4244]E(f328(f328(f42(f918(x42441,a905),f918(x42442,a905)),x42443),f328(f328(f9(f918(x42441,a905),f918(x42441,f918(x42442,a905)),f918(x42442,a905)),f42(x42441,f918(x42442,a905))),x42444)),f328(f328(f42(x42441,f918(x42442,a905)),f40(f918(x42441,a905),x42443)),x42444))
% 27.83/28.20 [4245]E(f328(f328(f43(f918(x42451,a905),f918(x42452,a905)),x42453),f328(f328(f9(f918(x42451,a905),f918(x42451,f918(x42452,a905)),f918(x42452,a905)),f43(x42451,f918(x42452,a905))),x42454)),f328(f328(f43(x42451,f918(x42452,a905)),f40(f918(x42451,a905),x42453)),x42454))
% 27.83/28.20 [4246]E(f328(f328(f42(f918(x42461,a905),f918(x42462,a905)),x42463),f328(f328(f9(f918(x42461,a905),f918(x42461,f918(x42462,a905)),f918(x42462,a905)),f42(x42461,f918(x42462,a905))),x42464)),f328(f328(f42(x42461,f918(x42462,a905)),f40(f918(x42461,a905),x42463)),x42464))
% 27.83/28.20 [4247]E(f328(f328(f43(f918(x42471,a905),f918(x42472,a905)),x42473),f328(f328(f9(f918(x42471,a905),f918(x42471,f918(x42472,a905)),f918(x42472,a905)),f43(x42471,f918(x42472,a905))),x42474)),f328(f328(f43(x42471,f918(x42472,a905)),f40(f918(x42471,a905),x42473)),x42474))
% 27.83/28.20 [4252]E(f328(f328(f156(x42521,x42522),x42523),f328(f144(f912(x42521),f912(x42521),f136(x42521),f117(x42521)),x42524)),f328(f144(f912(x42522),f912(x42522),f136(x42522),f117(x42522)),f328(f328(f156(f912(x42521),f912(x42522)),f328(f156(x42521,x42522),x42523)),x42524)))
% 27.83/28.20 [4254]E(f187(f912(x42541),f117(x42541),f328(f328(f10(f912(x42541),f912(x42541),a911),f328(f153(x42541),x42542)),f328(f328(f9(a911,f912(x42541),f912(x42541)),f177(x42541)),x42543)),x42544),f328(f328(f177(x42541),x42544),f328(f328(f153(x42541),x42542),x42543)))
% 27.83/28.20 [4292]P107(f328(f328(f239(f918(x42921,a905)),f328(f311(x42922,x42921,x42923),f328(f312(x42922,x42921,x42923),x42924))),x42924))
% 27.83/28.20 [4294]E(f328(f311(f917(x42941,x42942),f917(x42942,x42941),f328(f261(x42941,x42942,f917(x42942,x42941)),f328(f9(x42942,x42941,f917(x42942,x42941)),f256(x42942,x42941)))),f328(f328(f258(x42941,x42942),x42943),f328(f18(f918(x42942,a905),x42941),x42944))),f328(f328(f258(x42942,x42941),x42944),f328(f18(f918(x42941,a905),x42942),x42943)))
% 27.83/28.20 [4303]E(f328(f328(f42(x43031,f918(x43032,a905)),x43033),f328(f328(f10(f918(x43031,a905),f918(x43032,a905),x43031),f287(x43031,x43032,x43034)),f328(f328(f9(x43031,f918(x43031,a905),f918(x43031,a905)),f310(x43031)),f190(f918(x43031,a905))))),f328(f287(x43031,x43032,x43034),x43033))
% 27.83/28.20 [4304]E(f328(f328(f42(x43041,f918(x43042,a905)),x43043),f328(f328(f10(f918(x43041,a905),f918(x43042,a905),x43041),f312(x43042,x43041,x43044)),f328(f328(f9(x43041,f918(x43041,a905),f918(x43041,a905)),f310(x43041)),f190(f918(x43041,a905))))),f328(f312(x43042,x43041,x43044),x43043))
% 27.83/28.20 [4379]E(f328(f328(f136(x43791),f328(f138(x43791,f328(f328(f10(a905,a905,x43791),a323),f328(a325,x43792))),x43793)),f328(f138(x43791,f328(f328(f10(a905,a905,x43791),a323),f328(a325,x43792))),x43794)),f328(f138(x43791,f328(f328(f10(a905,a905,x43791),a323),f328(a325,x43792))),f328(f328(f136(x43791),x43793),x43794)))
% 27.83/28.20 [4391]E(f328(f328(f106(f918(x43911,a905)),f328(f328(f106(f918(x43911,a905)),f328(f328(f105(f918(x43911,a905)),x43912),x43913)),f328(f328(f105(f918(x43911,a905)),x43913),x43914))),f328(f328(f105(f918(x43911,a905)),x43914),x43912)),f328(f328(f105(f918(x43911,a905)),f328(f328(f105(f918(x43911,a905)),f328(f328(f106(f918(x43911,a905)),x43912),x43913)),f328(f328(f106(f918(x43911,a905)),x43913),x43914))),f328(f328(f106(f918(x43911,a905)),x43914),x43912)))
% 27.83/28.20 [4454]E(f328(f144(f912(x44541),f912(x44541),f136(x44541),f117(x44541)),f328(f328(f156(x44542,f912(x44541)),f328(f328(f9(x44542,f912(x44541),f912(x44541)),f328(f328(f10(x44541,f918(f912(x44541),f912(x44541)),x44542),f153(x44541)),x44543)),f117(x44541))),x44544)),f328(f328(f156(x44542,x44541),x44543),x44544))
% 27.83/28.20 [4464]E(f328(f328(f89(a1,x44641),f328(f108(a1),f328(f328(f83(a1),x44642),a101))),f328(f328(f20(a1,x44641,x44641),f328(f328(f9(a1,x44641,f918(x44641,x44641)),f328(f328(f10(a905,f918(x44641,f918(x44641,x44641)),a1),f100(x44641)),a195)),x44643)),f328(f328(f10(a911,x44641,a1),x44644),a109))),f187(x44641,x44643,x44644,f328(f108(a911),x44642)))
% 27.83/28.20 [4495]E(f328(f266(x44951),f328(f328(f10(f918(x44952,a905),a905,x44951),f90(x44952)),f328(f328(f10(f918(x44952,a905),f918(x44952,a905),x44951),f328(f20(x44952,a905,a905),f328(f328(f10(a905,f918(a905,a905),x44952),a326),f328(f328(f9(x44952,f918(x44952,a905),a905),f330(x44952)),x44953)))),f328(f9(x44952,x44951,a905),x44954)))),f328(f287(x44952,x44951,f328(f266(f917(x44952,x44951)),f328(f261(x44952,x44951,a905),x44954))),x44953))
% 27.83/28.20 [4688]~P107(f328(f328(f190(f918(x46881,f918(x46882,a905))),x46883),x46884))
% 27.83/28.20 [3953]E(f328(f328(f166(x39531),f328(f328(f136(x39531),x39532),x39533)),f328(f328(f83(a911),f328(f191(f912(x39531)),x39532)),x39534)),f328(f328(f166(x39531),x39533),x39534))
% 27.83/28.20 [3958]E(f328(f328(f140(x39581),x39582),f328(f328(f177(x39581),f328(f328(f83(a911),x39583),x39582)),x39584)),f328(f328(f177(x39581),x39583),f328(f328(f140(x39581),x39582),x39584)))
% 27.83/28.20 [4058]E(f328(f328(f105(f918(x40581,a905)),f328(f286(x40582,x40581),x40583)),f328(f286(x40582,x40581),x40584)),f328(f286(x40582,x40581),f328(f328(f105(f918(f917(x40582,x40581),a905)),x40583),x40584)))
% 27.83/28.20 [4059]E(f328(f328(f105(f918(x40591,a905)),f328(f268(x40591,x40592),x40593)),f328(f268(x40591,x40592),x40594)),f328(f268(x40591,x40592),f328(f328(f105(f918(f917(x40591,x40592),a905)),x40593),x40594)))
% 27.83/28.20 [4064]E(f328(f328(f3(f918(x40641,a905)),f328(f328(f106(f918(x40641,a905)),x40642),x40643)),x40644),f328(f328(f106(f918(x40641,a905)),x40642),f328(f328(f3(f918(x40641,a905)),x40643),x40644)))
% 27.83/28.20 [4065]E(f328(f328(f105(f918(x40651,a905)),f328(f328(f105(f918(x40651,a905)),x40652),x40653)),x40654),f328(f328(f105(f918(x40651,a905)),x40652),f328(f328(f105(f918(x40651,a905)),x40653),x40654)))
% 27.83/28.20 [4066]E(f328(f328(f106(f918(x40661,a905)),f328(f328(f106(f918(x40661,a905)),x40662),x40663)),x40664),f328(f328(f106(f918(x40661,a905)),x40662),f328(f328(f106(f918(x40661,a905)),x40663),x40664)))
% 27.83/28.20 [4104]E(f328(f328(f105(f918(f917(x41041,x41042),a905)),f328(f288(x41042,x41041),x41043)),f328(f288(x41042,x41041),x41044)),f328(f288(x41042,x41041),f328(f328(f105(f918(f917(x41042,x41041),a905)),x41043),x41044)))
% 27.83/28.20 [4105]E(f328(f328(f106(f918(f917(x41051,x41052),a905)),f328(f288(x41052,x41051),x41053)),f328(f288(x41052,x41051),x41054)),f328(f288(x41052,x41051),f328(f328(f106(f918(f917(x41052,x41051),a905)),x41053),x41054)))
% 27.83/28.20 [4118]E(f328(f328(f105(f918(x41181,f918(x41182,a905))),f247(x41182,x41181,x41183)),f247(x41182,x41181,x41184)),f247(x41182,x41181,f328(f328(f105(f918(x41182,f918(x41181,a905))),x41183),x41184)))
% 27.83/28.20 [4119]E(f328(f328(f106(f918(x41191,f918(x41192,a905))),f247(x41192,x41191,x41193)),f247(x41192,x41191,x41194)),f247(x41192,x41191,f328(f328(f106(f918(x41192,f918(x41191,a905))),x41193),x41194)))
% 27.83/28.20 [4173]E(f328(f328(f105(f918(x41731,a905)),f328(f328(f3(f918(x41731,a905)),x41732),x41733)),f328(f328(f3(f918(x41731,a905)),x41734),x41733)),f328(f328(f3(f918(x41731,a905)),f328(f328(f105(f918(x41731,a905)),x41732),x41734)),x41733))
% 27.83/28.20 [4174]E(f328(f328(f106(f918(x41741,a905)),f328(f328(f105(f918(x41741,a905)),x41742),x41743)),f328(f328(f105(f918(x41741,a905)),x41744),x41743)),f328(f328(f105(f918(x41741,a905)),f328(f328(f106(f918(x41741,a905)),x41742),x41744)),x41743))
% 27.83/28.20 [4175]E(f328(f328(f3(f918(x41751,a905)),f328(f328(f106(f918(x41751,a905)),x41752),x41753)),f328(f328(f106(f918(x41751,a905)),x41754),x41753)),f328(f328(f106(f918(x41751,a905)),f328(f328(f3(f918(x41751,a905)),x41752),x41754)),x41753))
% 27.83/28.20 [4176]E(f328(f328(f105(f918(x41761,a905)),f328(f328(f106(f918(x41761,a905)),x41762),x41763)),f328(f328(f106(f918(x41761,a905)),x41764),x41763)),f328(f328(f106(f918(x41761,a905)),f328(f328(f105(f918(x41761,a905)),x41762),x41764)),x41763))
% 27.83/28.20 [4177]E(f328(f328(f3(f918(x41771,a905)),f328(f328(f106(f918(x41771,a905)),x41772),x41773)),f328(f328(f106(f918(x41771,a905)),x41774),x41773)),f328(f328(f3(f918(x41771,a905)),f328(f328(f106(f918(x41771,a905)),x41772),x41773)),x41774))
% 27.83/28.20 [4189]E(f328(f328(f3(f918(x41891,a905)),f328(f328(f3(f918(x41891,a905)),x41892),f328(f328(f310(x41891),x41893),f190(f918(x41891,a905))))),x41894),f328(f328(f3(f918(x41891,a905)),x41892),f328(f328(f310(x41891),x41893),x41894)))
% 27.83/28.20 [4243]E(f328(f328(f105(f918(x42431,a905)),f328(f328(f310(x42431),x42432),f328(f328(f310(x42431),x42433),f190(f918(x42431,a905))))),f328(f283(x42431),x42434)),f328(f283(x42431),f328(f328(f310(f917(x42431,x42431)),f328(f328(f256(x42431,x42431),x42432),x42433)),x42434)))
% 27.83/28.20 [4268]E(f328(f328(f42(a911,f918(x42681,a905)),f328(f302(a911),x42682)),f328(f328(f10(a911,f918(x42681,a905),a911),x42683),f328(f328(f9(a911,a911,a911),f83(a911)),x42684))),f328(f328(f42(a911,f918(x42681,a905)),f304(a911,x42684,f328(f328(f83(a911),x42682),x42684))),x42683))
% 27.83/28.20 [4269]E(f176(x42691,f328(f287(x42691,x42691,x42692),f328(f328(f310(x42691),x42693),f190(f918(x42691,a905)))),f328(f287(f912(x42691),f912(x42691),f160(x42691,x42692)),f328(f328(f310(f912(x42691)),x42694),f190(f918(f912(x42691),a905))))),f328(f287(f912(x42691),f912(x42691),f160(x42691,x42692)),f328(f328(f310(f912(x42691)),f328(f328(f153(x42691),x42693),x42694)),f190(f918(f912(x42691),a905)))))
% 27.83/28.20 [4333]E(f328(f266(x43331),f328(f328(f9(x43331,f918(x43332,a905),a905),f328(f328(f10(x43332,f918(f918(x43332,a905),a905),x43331),f330(x43332)),x43333)),x43334)),f328(f312(x43331,x43332,x43333),x43334))
% 27.83/28.20 [4423]E(f328(f266(x44231),f328(f328(f9(x44231,f918(f917(x44232,x44231),a905),a905),f328(f328(f10(f917(x44232,x44231),f918(f918(f917(x44232,x44231),a905),a905),x44231),f330(f917(x44232,x44231))),f328(f256(x44232,x44231),x44233))),x44234)),f328(f287(x44232,x44231,x44234),f328(f328(f310(x44232),x44233),f190(f918(x44232,a905)))))
% 27.83/28.20 [4437]E(f328(f328(f156(f917(x44371,a911),x44371),f255(x44371,a911)),f328(f138(f917(x44371,a911),f328(f328(f10(a911,a905,f917(x44371,a911)),x44372),f328(f328(f10(a911,a911,f917(x44371,a911)),a116),f260(x44371,a911)))),f328(f328(f183(x44371,a911),x44373),x44374))),f328(f328(f156(f917(x44371,a911),x44371),f255(x44371,a911)),f328(f138(f917(x44371,a911),f328(f328(f10(a911,a905,f917(x44371,a911)),x44372),f260(x44371,a911))),f328(f328(f183(x44371,a911),x44373),f328(f328(f156(a911,a911),a116),x44374)))))
% 27.83/28.20 [4446]P107(f328(f328(f239(f918(f918(x44461,a905),a905)),f328(f328(f42(x44462,f918(f918(x44461,a905),a905)),x44463),f328(f328(f10(f918(x44461,a905),f918(f918(x44461,a905),a905),x44462),f309(x44461)),x44464))),f328(f309(x44461),f328(f328(f42(x44462,f918(x44461,a905)),x44463),x44464))))
% 27.83/28.20 [4487]E(f328(f328(f89(a1,x44871),f328(f108(a1),f328(f328(f83(a1),x44872),a101))),f328(f328(f20(a1,x44871,x44871),f328(f328(f9(a1,x44871,f918(x44871,x44871)),f328(f328(f10(a905,f918(x44871,f918(x44871,x44871)),a1),f100(x44871)),a195)),x44873)),f328(f328(f20(a1,x44871,x44871),f328(f328(f10(a911,f918(x44871,x44871),a1),x44874),a109)),f328(f328(f10(a911,x44871,a1),f186(x44871,x44873,x44874)),a109)))),f328(f186(x44871,x44873,x44874),f328(f108(a911),x44872)))
% 27.83/28.20 [4511]E(f328(f266(f917(x45111,x45112)),f328(f261(x45111,x45112,a905),f328(f328(f9(x45111,f918(x45112,a905),f918(x45112,a905)),f328(f328(f10(f918(a905,a905),f918(f918(x45112,a905),f918(x45112,a905)),x45111),f10(a905,a905,x45112)),f328(f328(f10(a905,f918(a905,a905),x45111),a326),f328(f328(f9(x45111,f918(x45111,a905),a905),f330(x45111)),x45113)))),f328(f328(f9(x45112,f918(x45112,a905),a905),f330(x45112)),x45114)))),f233(x45111,x45112,x45113,x45114))
% 27.83/28.20 [4547]E(f328(f328(f42(x45471,f918(f917(x45471,x45472),a905)),x45473),f328(f328(f20(x45471,f918(x45472,f918(f917(x45471,x45472),a905)),f918(f917(x45471,x45472),a905)),f328(f328(f10(f918(x45472,a905),f918(f918(x45472,f918(f917(x45471,x45472),a905)),f918(f917(x45471,x45472),a905)),x45471),f42(x45472,f918(f917(x45471,x45472),a905))),x45474)),f328(f328(f9(x45471,f918(f917(x45471,x45472),a905),f918(x45472,f918(f917(x45471,x45472),a905))),f328(f328(f10(f918(x45472,f918(f918(f917(x45471,x45472),a905),f918(f917(x45471,x45472),a905))),f918(f918(f917(x45471,x45472),a905),f918(x45472,f918(f917(x45471,x45472),a905))),x45471),f9(x45472,f918(f917(x45471,x45472),a905),f918(f917(x45471,x45472),a905))),f328(f328(f10(f918(x45472,f917(x45471,x45472)),f918(x45472,f918(f918(f917(x45471,x45472),a905),f918(f917(x45471,x45472),a905))),x45471),f328(f10(f917(x45471,x45472),f918(f918(f917(x45471,x45472),a905),f918(f917(x45471,x45472),a905)),x45472),f310(f917(x45471,x45472)))),f256(x45471,x45472)))),f190(f918(f917(x45471,x45472),a905))))),f328(f328(f258(x45471,x45472),x45473),x45474))
% 27.83/28.20 [4113]E(f328(f328(f136(x41131),f328(f328(f177(x41131),x41132),x41133)),f328(f328(f177(x41131),f328(f328(f3(a911),x41132),f328(f191(f912(x41131)),x41133))),x41134)),f328(f328(f177(x41131),x41132),f328(f328(f136(x41131),x41133),x41134)))
% 27.83/28.20 [4114]E(f328(f328(f136(x41141),f328(f328(f140(x41141),x41142),x41143)),f328(f328(f140(x41141),f328(f328(f3(a911),x41142),f328(f191(f912(x41141)),x41143))),x41144)),f328(f328(f140(x41141),x41142),f328(f328(f136(x41141),x41143),x41144)))
% 27.83/28.20 [4163]E(f328(f328(f83(a911),f328(f328(f84(a911),x41631),x41632)),f328(f328(f83(a911),f328(f328(f84(a911),x41633),x41632)),x41634)),f328(f328(f83(a911),f328(f328(f84(a911),f328(f328(f83(a911),x41631),x41633)),x41632)),x41634))
% 27.83/28.20 [4309]E(f93(x43091,f328(f328(f9(x43091,x43092,a905),f328(f328(f10(x43092,f918(x43092,a905),x43091),a325),x43093)),x43094)),f328(f95(x43091,x43092,f246(f918(x43091,a905)),x43093),x43094))
% 27.83/28.20 [4357]P107(f328(f328(f239(f918(x43571,a905)),f328(f328(f3(f918(x43571,a905)),f328(f286(x43572,x43571),x43573)),f328(f286(x43572,x43571),x43574))),f328(f286(x43572,x43571),f328(f328(f3(f918(f917(x43572,x43571),a905)),x43573),x43574))))
% 27.83/28.20 [4358]P107(f328(f328(f239(f918(x43581,a905)),f328(f328(f3(f918(x43581,a905)),f328(f268(x43581,x43582),x43583)),f328(f268(x43581,x43582),x43584))),f328(f268(x43581,x43582),f328(f328(f3(f918(f917(x43581,x43582),a905)),x43583),x43584))))
% 27.83/28.20 [4466]E(f328(f328(f83(a1),f328(a92,f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),f328(f328(f256(a911,a911),x44661),x44662)),f190(f918(f917(a911,a911),a905)))))),f328(a92,f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),f328(f328(f256(a911,a911),x44663),x44664)),f190(f918(f917(a911,a911),a905)))))),f328(a92,f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),f328(f328(f256(a911,a911),f328(f328(f83(a911),x44661),x44663)),f328(f328(f83(a911),x44662),x44664))),f190(f918(f917(a911,a911),a905))))))
% 27.83/28.20 [4506]E(f328(f328(f84(a1),f328(a92,f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),f328(f328(f256(a911,a911),x45061),x45062)),f190(f918(f917(a911,a911),a905)))))),f328(a92,f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),f328(f328(f256(a911,a911),x45063),x45064)),f190(f918(f917(a911,a911),a905)))))),f328(a92,f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),f328(f328(f256(a911,a911),f328(f328(f83(a911),f328(f328(f84(a911),x45061),x45063)),f328(f328(f84(a911),x45062),x45064))),f328(f328(f83(a911),f328(f328(f84(a911),x45061),x45064)),f328(f328(f84(a911),x45062),x45063)))),f190(f918(f917(a911,a911),a905))))))
% 27.83/28.20 [4527]E(f328(f266(x45271),f328(f328(f10(f918(x45272,a905),a905,x45271),f91(x45272)),f328(f328(f10(f918(x45272,a905),f918(x45272,a905),x45271),f328(f20(x45272,a905,a905),f328(f328(f10(a905,f918(a905,a905),x45272),a331),f328(f328(f9(x45272,f918(x45272,a905),a905),f330(x45272)),x45273)))),f328(f328(f9(x45271,f918(x45272,f918(x45271,a905)),f918(x45272,a905)),f328(f328(f10(f918(f918(x45271,a905),a905),f918(f918(x45272,f918(x45271,a905)),f918(x45272,a905)),x45271),f10(f918(x45271,a905),a905,x45272)),f330(x45271))),x45274)))),f328(f328(f43(x45272,f918(x45271,a905)),x45273),x45274))
% 27.83/28.20 [4562]E(f328(f328(f290(x45621,x45621,x45621),f328(f328(f310(f917(x45621,x45621)),f328(f328(f256(x45621,x45621),x45622),x45623)),x45624)),f308(x45621,f328(f328(f310(f917(x45621,x45621)),f328(f328(f256(x45621,x45621),x45622),x45623)),x45624))),f328(f328(f105(f918(f917(x45621,x45621),a905)),f328(f328(f290(x45621,x45621,x45621),x45624),f308(x45621,x45624))),f328(f266(f917(x45621,x45621)),f328(f261(x45621,x45621,a905),f328(f328(f9(x45621,f918(x45621,a905),f918(x45621,a905)),f328(f328(f10(f918(a905,a905),f918(f918(x45621,a905),f918(x45621,a905)),x45621),f10(a905,a905,x45621)),f328(f328(f10(a905,f918(a905,a905),x45621),a326),f328(f328(f9(x45621,f918(f917(x45621,x45621),a905),a905),f328(f328(f10(f917(x45621,x45621),f918(f918(f917(x45621,x45621),a905),a905),x45621),f330(f917(x45621,x45621))),f328(f328(f9(x45621,x45621,f917(x45621,x45621)),f256(x45621,x45621)),x45622))),f308(x45621,x45624))))),f328(f328(f9(x45621,f918(f917(x45621,x45621),a905),a905),f328(f328(f10(f917(x45621,x45621),f918(f918(f917(x45621,x45621),a905),a905),x45621),f330(f917(x45621,x45621))),f328(f256(x45621,x45621),x45623))),f308(x45621,x45624)))))))
% 27.83/28.20 [4359]E(f328(f138(x43591,f328(f328(f20(x43591,a905,a905),f328(f328(f10(a905,f918(a905,a905),x43591),a326),x43592)),x43593)),x43594),f328(f138(x43591,x43593),f328(f138(x43591,x43592),x43594)))
% 27.83/28.20 [4460]E(f328(f328(f136(x44601),f328(f328(f328(f100(f912(x44601)),f328(f328(f330(a911),f2(a911)),x44602)),f328(f328(f153(x44601),x44603),f117(x44601))),f117(x44601))),f178(x44601,x44604,f328(f266(a911),f328(f328(f9(a911,f918(a911,a905),a905),f328(f328(f10(a911,f918(f918(a911,a905),a905),a911),f330(a911)),a116)),x44602)))),f178(x44601,f328(f328(f153(x44601),x44603),x44604),x44602))
% 27.83/28.20 [4558]E(f328(f266(f917(x45581,x45582)),f328(f328(f10(f918(a911,a905),a905,f917(x45581,x45582)),f90(a911)),f328(f328(f9(f917(x45581,x45582),f918(a911,a905),f918(a911,a905)),f328(f328(f10(f918(a911,f918(a905,a905)),f918(f918(a911,a905),f918(a911,a905)),f917(x45581,x45582)),f20(a911,a905,a905)),f328(f328(f10(f918(a911,a905),f918(a911,f918(a905,a905)),f917(x45581,x45582)),f328(f10(a905,f918(a905,a905),a911),a326)),f328(f328(f9(f917(x45581,x45582),f918(a911,f917(x45581,x45582)),f918(a911,a905)),f328(f328(f10(f918(f917(x45581,x45582),a905),f918(f918(a911,f917(x45581,x45582)),f918(a911,a905)),f917(x45581,x45582)),f10(f917(x45581,x45582),a905,a911)),a325)),f328(f328(f20(a911,x45582,f917(x45581,x45582)),f328(f328(f10(x45581,f918(x45582,f917(x45581,x45582)),a911),f256(x45581,x45582)),f328(f166(x45581),x45583))),f328(f166(x45582),x45584)))))),f328(f328(f9(a911,a911,a905),f240(a911)),f328(f328(f243(a911),f328(f191(f912(x45581)),x45583)),f328(f191(f912(x45582)),x45584)))))),f328(f174(f917(x45581,x45582)),f328(f328(f183(x45581,x45582),x45583),x45584)))
% 27.83/28.20 [4479]E(f328(f266(f917(x44791,x44792)),f328(f261(x44791,x44792,a905),f328(f328(f9(x44791,f918(x44792,a905),f918(x44792,a905)),f328(f328(f10(f918(a905,a905),f918(f918(x44792,a905),f918(x44792,a905)),x44791),f10(a905,a905,x44792)),f328(f328(f10(a905,f918(a905,a905),x44791),a326),x44793))),x44794))),f328(f328(f258(x44791,x44792),f328(f266(x44791),x44793)),f328(f18(f918(x44792,a905),x44791),f328(f266(x44792),x44794))))
% 27.83/28.20 [4482]E(f328(f266(f917(x44821,x44822)),f328(f261(x44821,x44822,a905),f328(f328(f20(x44821,f918(x44822,a905),f918(x44822,a905)),f328(f328(f10(f918(a905,a905),f918(f918(x44822,a905),f918(x44822,a905)),x44821),f10(a905,a905,x44822)),f328(f328(f10(a905,f918(a905,a905),x44821),a326),x44823))),x44824))),f328(f328(f258(x44821,x44822),f328(f266(x44821),x44823)),f328(f328(f10(f918(x44822,a905),f918(x44822,a905),x44821),f266(x44822)),x44824)))
% 27.83/28.20 [4494]E(f328(f266(x44941),f328(f328(f10(f918(x44942,a905),a905,x44941),f91(x44942)),f328(f328(f10(f918(x44942,a905),f918(x44942,a905),x44941),f328(f20(x44942,a905,a905),f328(f328(f10(a905,f918(a905,a905),x44942),a331),f328(f328(f9(x44942,f918(x44942,a905),a905),f330(x44942)),x44943)))),x44944))),f328(f328(f43(x44942,f918(x44941,a905)),x44943),f328(f328(f10(f918(x44941,a905),f918(x44941,a905),x44942),f266(x44941)),f328(f9(x44941,x44942,a905),x44944))))
% 27.83/28.20 [4539]E(f328(f328(f156(f917(x45391,a911),x45391),f255(x45391,a911)),f328(f138(f917(x45391,a911),f328(f328(f9(f917(x45391,a911),f918(a911,a905),a905),f328(f328(f10(a911,f918(f918(a911,a905),a905),f917(x45391,a911)),f330(a911)),f260(x45391,a911))),x45392)),f328(f328(f183(x45391,a911),x45393),f141(a911,f328(f303(a911,x45394),f328(f328(f83(a911),x45394),f328(f191(f912(x45391)),x45393))))))),f328(f328(f156(f917(x45391,a911),x45391),f255(x45391,a911)),f328(f138(f917(x45391,a911),f328(f328(f9(f917(x45391,a911),f918(a911,a905),a905),f328(f328(f10(a911,f918(f918(a911,a905),a905),f917(x45391,a911)),f330(a911)),f328(f328(f9(f917(x45391,a911),a911,a911),f328(f328(f10(a911,f918(a911,a911),f917(x45391,a911)),f83(a911)),f260(x45391,a911))),x45394))),x45392)),f328(f328(f183(x45391,a911),x45393),f141(a911,f328(f303(a911,f2(a911)),f328(f191(f912(x45391)),x45393)))))))
% 27.83/28.20 [4540]E(f328(a116,f328(f328(f238(a911),f328(f191(f912(x45401)),x45402)),f328(f144(a911,f912(x45403),f328(f9(f912(x45403),a911,a911),f328(f328(f10(a911,f918(a911,a911),f912(x45403)),f238(a911)),f328(f328(f9(f912(x45403),a911,a911),f328(f328(f10(a911,f918(a911,a911),f912(x45403)),f3(a911)),f191(f912(x45403)))),f328(a116,f2(a911))))),f2(a911)),f328(f170(f912(x45403)),f328(f138(f912(x45403),f328(f328(f10(a905,a905,f912(x45403)),a323),f328(f328(f9(f912(x45403),f912(x45403),a905),a325),f117(x45403)))),x45404))))),f328(f328(f238(a911),f328(a116,f328(f191(f912(x45401)),x45402))),f328(f144(a911,f912(x45403),f328(f9(f912(x45403),a911,a911),f328(f328(f10(a911,f918(a911,a911),f912(x45403)),f238(a911)),f191(f912(x45403)))),f2(a911)),f328(f170(f912(x45403)),x45404))))
% 27.83/28.20 [4493]E(f328(f328(f136(x44931),f178(x44931,x44932,x44933)),f178(x44931,x44934,f328(f266(a911),f328(f328(f9(a911,f918(a911,a905),a905),f328(f328(f10(a911,f918(f918(a911,a905),a905),a911),f330(a911)),f328(f328(f9(a911,a911,a911),f83(a911)),f328(f191(f912(x44931)),x44932)))),x44933)))),f178(x44931,f328(f328(f136(x44931),x44932),x44934),x44933))
% 27.83/28.20 [4541]E(f40(f918(x45411,a905),f328(f266(f918(x45411,a905)),f328(f328(f10(f918(x45412,a905),a905,f918(x45411,a905)),f90(x45412)),f328(f328(f10(f918(x45412,a905),f918(x45412,a905),f918(x45411,a905)),f328(f20(x45412,a905,a905),f328(f328(f10(a905,f918(a905,a905),x45412),a326),f328(f328(f9(x45412,f918(x45412,a905),a905),f330(x45412)),x45413)))),f328(f328(f9(f918(x45411,a905),f918(x45412,f918(x45411,a905)),f918(x45412,a905)),f328(f328(f10(f918(f918(x45411,a905),a905),f918(f918(x45412,f918(x45411,a905)),f918(x45412,a905)),f918(x45411,a905)),f10(f918(x45411,a905),a905,x45412)),a325)),x45414))))),f328(f328(f42(x45412,f918(x45411,a905)),x45413),x45414))
% 27.83/28.20 [4542]E(f41(f918(x45421,a905),f328(f266(f918(x45421,a905)),f328(f328(f10(f918(x45422,a905),a905,f918(x45421,a905)),f90(x45422)),f328(f328(f10(f918(x45422,a905),f918(x45422,a905),f918(x45421,a905)),f328(f20(x45422,a905,a905),f328(f328(f10(a905,f918(a905,a905),x45422),a326),f328(f328(f9(x45422,f918(x45422,a905),a905),f330(x45422)),x45423)))),f328(f328(f9(f918(x45421,a905),f918(x45422,f918(x45421,a905)),f918(x45422,a905)),f328(f328(f10(f918(f918(x45421,a905),a905),f918(f918(x45422,f918(x45421,a905)),f918(x45422,a905)),f918(x45421,a905)),f10(f918(x45421,a905),a905,x45422)),a325)),x45424))))),f328(f328(f43(x45422,f918(x45421,a905)),x45423),x45424))
% 27.83/28.20 [4549]E(f328(f328(f153(f912(x45491)),f328(f328(f153(x45491),x45492),f328(f144(f912(x45491),f912(x45491),f136(x45491),f117(x45491)),f328(f328(f156(f912(x45491),f912(x45491)),f158(f912(x45491),x45491,f117(x45491),f328(f328(f10(f912(x45491),f918(f912(x45491),f912(x45491)),x45491),f18(f912(x45491),f912(x45491))),f328(f328(f9(x45491,f912(x45491),f912(x45491)),f153(x45491)),f117(x45491))))),x45493)))),f181(x45491,f328(f328(f153(f912(x45491)),x45494),f328(f144(f912(f912(x45491)),f912(f912(x45491)),f136(f912(x45491)),f117(f912(x45491))),f328(f328(f156(f912(x45491),f912(f912(x45491))),f158(f912(f912(x45491)),x45491,f117(f912(x45491)),f328(f18(f918(f912(x45491),f912(f912(x45491))),x45491),f328(f328(f9(f912(x45491),f912(f912(x45491)),f912(f912(x45491))),f153(f912(x45491))),f117(f912(x45491)))))),x45493))))),f181(x45491,f328(f328(f153(f912(x45491)),f328(f328(f153(x45491),x45492),x45494)),x45493)))
% 27.83/28.20 [4559]E(f328(f266(f917(x45591,x45591)),f328(f261(x45591,x45591,a905),f328(f328(f9(x45591,f918(f917(x45592,x45592),a905),f918(x45591,a905)),f328(f328(f10(f918(x45591,f918(f918(f917(x45592,x45592),a905),a905)),f918(f918(f917(x45592,x45592),a905),f918(x45591,a905)),x45591),f9(x45591,f918(f917(x45592,x45592),a905),a905)),f328(f328(f10(f918(x45591,f917(x45592,x45592)),f918(x45591,f918(f918(f917(x45592,x45592),a905),a905)),x45591),f328(f10(f917(x45592,x45592),f918(f918(f917(x45592,x45592),a905),a905),x45591),f330(f917(x45592,x45592)))),f328(f328(f9(x45591,f918(x45591,x45592),f918(x45591,f917(x45592,x45592))),f328(f328(f10(f918(x45592,f917(x45592,x45592)),f918(f918(x45591,x45592),f918(x45591,f917(x45592,x45592))),x45591),f10(x45592,f917(x45592,x45592),x45591)),f328(f328(f10(x45592,f918(x45592,f917(x45592,x45592)),x45591),f256(x45592,x45592)),x45593))),x45593)))),x45594))),f328(f328(f289(x45592,x45591),x45594),x45593))
% 27.83/28.20 [4627]~E(f34(x46271,x46272),f29(x46273,x46274,x46275))
% 27.83/28.20 [4628]~E(f34(x46281,x46282),f31(x46283,x46284,x46285))
% 27.83/28.20 [4629]~E(f34(x46291,x46292),f30(x46293,x46294,x46295))
% 27.83/28.20 [4630]~E(f27(x46301,x46302),f29(x46303,x46304,x46305))
% 27.83/28.20 [4631]~E(f27(x46311,x46312),f31(x46313,x46314,x46315))
% 27.83/28.20 [4632]~E(f27(x46321,x46322),f30(x46323,x46324,x46325))
% 27.83/28.20 [4633]~E(f33(x46331,x46332),f29(x46333,x46334,x46335))
% 27.83/28.20 [4634]~E(f33(x46341,x46342),f31(x46343,x46344,x46345))
% 27.83/28.20 [4635]~E(f33(x46351,x46352),f30(x46353,x46354,x46355))
% 27.83/28.20 [4636]~E(f29(x46361,x46362,x46363),f34(x46364,x46365))
% 27.83/28.20 [4637]~E(f29(x46371,x46372,x46373),f27(x46374,x46375))
% 27.83/28.20 [4638]~E(f29(x46381,x46382,x46383),f33(x46384,x46385))
% 27.83/28.20 [4639]~E(f31(x46391,x46392,x46393),f34(x46394,x46395))
% 27.83/28.20 [4640]~E(f31(x46401,x46402,x46403),f27(x46404,x46405))
% 27.83/28.20 [4641]~E(f31(x46411,x46412,x46413),f33(x46414,x46415))
% 27.83/28.20 [4642]~E(f30(x46421,x46422,x46423),f34(x46424,x46425))
% 27.83/28.20 [4643]~E(f30(x46431,x46432,x46433),f27(x46434,x46435))
% 27.83/28.20 [4644]~E(f30(x46441,x46442,x46443),f33(x46444,x46445))
% 27.83/28.20 [3687]E(f328(f328(f156(x36871,x36872),x36873),f171(x36871,x36874,x36875)),f171(x36872,x36874,f328(x36873,x36875)))
% 27.83/28.20 [4258]E(f328(f78(x42581,x42582,x42583,x42584,x42585),x42584),x42585)
% 27.83/28.20 [4310]E(f257(x43101,x43102,x43103,f247(x43102,x43101,x43104),f247(x43103,x43102,x43105)),f247(x43103,x43101,f257(x43103,x43102,x43101,x43105,x43104)))
% 27.83/28.20 [3881]E(f328(f328(f261(x38811,x38812,x38813),x38814),x38815),f328(f328(x38814,f328(f255(x38811,x38812),x38815)),f328(f260(x38811,x38812),x38815)))
% 27.83/28.20 [3882]E(f328(f328(f261(x38821,x38822,x38823),x38824),x38825),f328(f328(x38824,f328(f255(x38821,x38822),x38825)),f328(f260(x38821,x38822),x38825)))
% 27.83/28.20 [3883]E(f328(f328(f261(x38831,x38832,x38833),x38834),x38835),f328(f328(x38834,f328(f255(x38831,x38832),x38835)),f328(f260(x38831,x38832),x38835)))
% 27.83/28.20 [3919]E(f328(f328(f328(f68(x39191,x39192,x39193),x39194),x39195),f190(f918(x39192,a905))),x39195)
% 27.83/28.20 [4196]E(f328(f76(f912(x41961),f912(x41962),f912(x41963),f328(f156(x41961,x41962),x41964)),f328(f156(x41963,x41961),x41965)),f328(f156(x41963,x41962),f328(f76(x41961,x41962,x41963,x41964),x41965)))
% 27.83/28.20 [4197]E(f328(f76(f912(x41971),f912(x41972),f912(x41973),f328(f156(x41971,x41972),x41974)),f328(f156(x41973,x41971),x41975)),f328(f156(x41973,x41972),f328(f76(x41971,x41972,x41973,x41974),x41975)))
% 27.83/28.20 [4272]E(f88(x42721,f69(x42722,x42721,x42723,x42724,x42725)),f328(f328(f67(x42722,x42721,x42723),x42724),x42725))
% 27.83/28.20 [4306]E(f328(f328(f83(a911),f328(f328(f83(a911),f328(x43061,f328(f255(x43062,x43063),x43064))),f328(x43065,f328(f260(x43062,x43063),x43064)))),f328(a116,f2(a911))),f265(x43062,x43063,x43061,x43065,x43064))
% 27.83/28.20 [3817]E(f328(f328(f177(x38171),x38172),f328(f328(f156(x38173,x38171),x38174),x38175)),f328(f328(f156(x38173,x38171),x38174),f328(f328(f177(x38173),x38172),x38175)))
% 27.83/28.20 [3818]E(f328(f328(f140(x38181),x38182),f328(f328(f156(x38183,x38181),x38184),x38185)),f328(f328(f156(x38183,x38181),x38184),f328(f328(f140(x38183),x38182),x38185)))
% 27.83/28.20 [3850]E(f328(f328(f156(x38501,x38502),x38503),f328(f328(f153(x38501),x38504),x38505)),f328(f328(f153(x38502),f328(x38503,x38504)),f328(f328(f156(x38501,x38502),x38503),x38505)))
% 27.83/28.20 [3913]E(f328(f311(x39131,x39132,x39133),f328(f328(f310(x39131),x39134),x39135)),f328(f328(f310(x39132),f328(x39133,x39134)),f328(f311(x39131,x39132,x39133),x39135)))
% 27.83/28.20 [3943]E(f175(x39431,f328(f328(f153(x39431),x39432),x39433),f328(f328(f153(x39431),x39434),x39435)),f328(f328(f153(x39431),x39432),f328(f328(f153(x39431),x39434),f175(x39431,x39433,x39435))))
% 27.83/28.20 [3979]E(f328(f328(f183(x39791,x39792),f328(f328(f177(x39791),x39793),x39794)),f328(f328(f177(x39792),x39793),x39795)),f328(f328(f177(f917(x39791,x39792)),x39793),f328(f328(f183(x39791,x39792),x39794),x39795)))
% 27.83/28.20 [3980]E(f328(f328(f183(x39801,x39802),f328(f328(f140(x39801),x39803),x39804)),f328(f328(f140(x39802),x39803),x39805)),f328(f328(f140(f917(x39801,x39802)),x39803),f328(f328(f183(x39801,x39802),x39804),x39805)))
% 27.83/28.20 [3992]E(f328(f328(f161(x39921,f328(f328(f153(x39921),x39922),x39923)),f328(a116,x39924)),x39925),f328(f328(f153(x39921),x39922),f328(f328(f161(x39921,x39923),x39924),x39925)))
% 27.83/28.20 [3995]E(f328(f328(f136(x39951),f328(f328(f156(x39952,x39951),x39953),x39954)),f328(f328(f156(x39952,x39951),x39953),x39955)),f328(f328(f156(x39952,x39951),x39953),f328(f328(f136(x39952),x39954),x39955)))
% 27.83/28.20 [3999]E(f328(f328(x39991,x39992),f328(f328(f249(x39993,x39994,x39991),x39992),x39995)),f328(f328(f249(x39993,x39994,x39991),x39992),f328(a116,x39995)))
% 27.83/28.20 [4030]E(f165(x40301,x40302,x40303,f328(f328(f153(x40301),x40304),x40305)),f328(f328(f136(x40302),f328(x40303,x40304)),f165(x40301,x40302,x40303,x40305)))
% 27.83/28.20 [4042]E(f328(f328(f290(x40421,x40422,x40423),f328(f288(x40422,x40421),x40424)),f328(f288(x40423,x40422),x40425)),f328(f288(x40423,x40421),f328(f328(f290(x40423,x40422,x40421),x40425),x40424)))
% 27.83/28.20 [4074]E(f328(f328(f328(f185(f912(x40741),f912(x40741)),x40742),f169(x40741)),f328(f328(f156(x40743,x40741),x40744),x40745)),f328(f328(f156(x40743,x40741),x40744),f328(f328(f328(f185(f912(x40743),f912(x40743)),x40742),f169(x40743)),x40745)))
% 27.83/28.20 [4075]E(f328(f328(f263(x40751,x40752,x40751,x40753),f328(f256(x40752,x40751),x40754)),x40755),f328(x40755,x40754))
% 27.83/28.20 [4099]E(f157(x40991,x40992,f328(f328(f156(x40993,x40991),x40994),x40995)),f157(x40993,f328(f76(x40991,a911,x40993,x40992),x40994),x40995))
% 27.83/28.20 [4162]E(f179(f917(x41621,x41622),f328(f76(x41622,a905,f917(x41621,x41622),x41623),f260(x41621,x41622)),f328(f328(f183(x41621,x41622),x41624),x41625)),f328(f328(f183(x41621,x41622),x41624),f179(x41622,x41623,x41625)))
% 27.83/28.20 [4167]E(f328(f311(x41671,x41672,f328(f328(f10(x41673,x41672,x41671),x41674),x41675)),f246(f918(x41671,a905))),f328(f311(x41673,x41672,x41674),f328(f311(x41671,x41673,x41675),f246(f918(x41671,a905)))))
% 27.83/28.20 [4180]E(f179(f917(x41801,x41802),f328(f76(x41801,a905,f917(x41801,x41802),x41803),f255(x41801,x41802)),f328(f328(f183(x41801,x41802),x41804),x41805)),f328(f328(f183(x41801,x41802),f179(x41801,x41803,x41804)),x41805))
% 27.83/28.20 [4201]E(f328(f328(f105(f918(x42011,a905)),f328(f312(x42011,x42012,x42013),f328(f328(f310(x42012),x42014),f190(f918(x42012,a905))))),f328(f312(x42011,x42012,x42013),x42015)),f328(f312(x42011,x42012,x42013),f328(f328(f310(x42012),x42014),x42015)))
% 27.83/28.20 [4257]E(f328(f328(f136(f917(x42571,x42572)),f328(f328(f156(x42572,f917(x42571,x42572)),f328(f256(x42571,x42572),x42573)),x42574)),f62(x42571,x42572,x42575,x42574)),f62(x42571,x42572,f328(f328(f153(x42571),x42573),x42575),x42574))
% 27.83/28.20 [4259]E(f328(f328(f156(x42591,x42592),x42593),f179(x42591,f328(f76(x42592,a905,x42591,x42594),x42593),x42595)),f179(x42592,x42594,f328(f328(f156(x42591,x42592),x42593),x42595)))
% 27.83/28.20 [4264]E(f328(f144(x42641,x42642,f328(f9(x42642,x42641,x42641),f328(f9(x42641,x42642,x42641),x42643)),x42644),f328(f170(x42642),f328(f170(x42642),x42645))),f328(f144(x42641,x42642,x42643,x42644),x42645))
% 27.83/28.20 [4367]P107(f328(f328(f239(f918(x43671,a905)),f328(f311(x43672,x43671,x43673),f328(f328(f106(f918(x43672,a905)),x43674),x43675))),f328(f328(f106(f918(x43671,a905)),f328(f311(x43672,x43671,x43673),x43674)),f328(f311(x43672,x43671,x43673),x43675))))
% 27.83/28.20 [4368]P107(f328(f328(f239(f918(x43681,a905)),f328(f287(x43682,x43681,x43683),f328(f328(f106(f918(x43682,a905)),x43684),x43685))),f328(f328(f106(f918(x43681,a905)),f328(f287(x43682,x43681,x43683),x43684)),f328(f287(x43682,x43681,x43683),x43685))))
% 27.83/28.20 [4467]E(f328(f260(x44671,x44672),f328(f262(x44673,x44671,x44672,x44672,x44674,f35(x44672)),x44675)),f328(f260(x44673,x44672),x44675))
% 27.83/28.20 [4468]E(f328(f255(x44681,x44682),f328(f262(x44681,x44681,x44683,x44682,f35(x44681),x44684),x44685)),f328(f255(x44681,x44683),x44685))
% 27.83/28.20 [4471]E(f328(f255(x44711,x44712),f328(f262(x44713,x44711,x44712,x44712,x44714,f35(x44712)),x44715)),f328(x44714,f328(f255(x44713,x44712),x44715)))
% 27.83/28.20 [4472]E(f328(f260(x44721,x44722),f328(f262(x44721,x44721,x44723,x44722,f35(x44721),x44724),x44725)),f328(x44724,f328(f260(x44721,x44723),x44725)))
% 27.83/28.20 [4552]P29(x45521,x45522,f328(f328(f310(f910(x45521)),f328(f328(f328(f94(x45521),f328(f328(f9(x45521,f918(a907,a907),f918(a907,a905)),f328(f328(f10(f918(a907,a905),f918(f918(a907,a907),f918(a907,a905)),x45521),f10(a907,a905,a907)),x45523)),f328(f328(f20(a907,a911,a907),f328(f328(f9(a907,a909,f918(a911,a907)),a198),x45524)),x45525))),f27(x45524,x45525)),x45523)),f190(f918(f910(x45521),a905))))
% 27.83/28.20 [4553]P29(x45531,x45532,f328(f328(f310(f910(x45531)),f328(f328(f328(f94(x45531),f328(f328(f9(x45531,f918(a907,a907),f918(a907,a905)),f328(f328(f10(f918(a907,a905),f918(f918(a907,a907),f918(a907,a905)),x45531),f10(a907,a905,a907)),x45533)),f328(f328(f20(a907,a911,a907),f328(f328(f9(a907,a909,f918(a911,a907)),a198),x45534)),x45535))),f27(x45534,x45535)),x45533)),f190(f918(f910(x45531),a905))))
% 27.83/28.20 [4557]P29(x45571,x45572,f328(f328(f310(f910(x45571)),f328(f328(f328(f94(x45571),f328(f328(f9(x45571,f918(a907,a905),f918(a907,a905)),f328(f328(f10(f918(a907,f918(a905,a905)),f918(f918(a907,a905),f918(a907,a905)),x45571),f20(a907,a905,a905)),f328(f328(f10(f918(a907,a905),f918(a907,f918(a905,a905)),x45571),f328(f10(a905,f918(a905,a905),a907),a326)),x45573))),f328(f328(f10(a905,a905,a907),a323),x45574))),f33(x45574,x45575)),x45573)),f190(f918(f910(x45571),a905))))
% 27.83/28.20 [3657]E(f328(f328(f328(f328(f208(x36571),x36572),x36573),x36574),x36575),f194(x36571,x36572))
% 27.83/28.20 [3658]E(f328(f328(f328(f328(f212(x36581),x36582),x36583),x36584),x36585),f203(x36581,x36582))
% 27.83/28.20 [3703]E(f97(x37031,x37032,f328(f328(f328(f94(x37031),x37033),x37034),x37035)),f2(a911))
% 27.83/28.20 [4031]E(f328(f328(f42(x40311,f918(x40312,a905)),f328(f328(f310(x40311),x40313),x40314)),x40315),f328(f328(f105(f918(x40312,a905)),f328(x40315,x40313)),f328(f328(f42(x40311,f918(x40312,a905)),x40314),x40315)))
% 27.83/28.20 [4032]E(f328(f328(f43(x40321,f918(x40322,a905)),f328(f328(f310(x40321),x40323),x40324)),x40325),f328(f328(f106(f918(x40322,a905)),f328(x40325,x40323)),f328(f328(f43(x40321,f918(x40322,a905)),x40324),x40325)))
% 27.83/28.20 [4081]E(f328(f122(x40811,x40812,f328(x40813,x40814)),f328(f328(f9(x40811,a103,f913(x40812)),x40815),x40814)),f328(f201(x40811,x40812,x40813,x40815),x40814))
% 27.83/28.20 [4093]E(f328(f328(f105(f918(x40931,a905)),f328(f311(x40932,x40931,x40933),x40934)),f328(f311(x40932,x40931,x40933),x40935)),f328(f311(x40932,x40931,x40933),f328(f328(f105(f918(x40932,a905)),x40934),x40935)))
% 27.83/28.20 [4094]E(f328(f328(f105(f918(x40941,a905)),f328(f287(x40942,x40941,x40943),x40944)),f328(f287(x40942,x40941,x40943),x40945)),f328(f287(x40942,x40941,x40943),f328(f328(f105(f918(x40942,a905)),x40944),x40945)))
% 27.83/28.20 [4095]E(f328(f328(f3(f918(x40951,a905)),f328(f312(x40951,x40952,x40953),x40954)),f328(f312(x40951,x40952,x40953),x40955)),f328(f312(x40951,x40952,x40953),f328(f328(f3(f918(x40952,a905)),x40954),x40955)))
% 27.83/28.20 [4096]E(f328(f328(f105(f918(x40961,a905)),f328(f312(x40961,x40962,x40963),x40964)),f328(f312(x40961,x40962,x40963),x40965)),f328(f312(x40961,x40962,x40963),f328(f328(f105(f918(x40962,a905)),x40964),x40965)))
% 27.83/28.20 [4097]E(f328(f328(f106(f918(x40971,a905)),f328(f312(x40971,x40972,x40973),x40974)),f328(f312(x40971,x40972,x40973),x40975)),f328(f312(x40971,x40972,x40973),f328(f328(f106(f918(x40972,a905)),x40974),x40975)))
% 27.83/28.20 [4158]E(f328(f328(f161(x41581,f328(f328(f136(x41581),x41582),f328(f328(f153(x41581),x41583),x41584))),f328(f191(f912(x41581)),x41582)),x41585),f328(f328(f136(x41581),x41582),f328(f328(f153(x41581),x41585),x41584)))
% 27.83/28.20 [4164]E(f328(f328(f43(x41641,f918(x41642,a905)),x41643),f328(f328(f10(f918(x41642,a905),f918(x41642,a905),x41641),f328(f310(x41642),x41644)),x41645)),f328(f328(f310(x41642),x41644),f328(f328(f43(x41641,f918(x41642,a905)),x41643),x41645)))
% 27.83/28.20 [4165]E(f328(f328(f43(x41651,f918(x41652,a905)),x41653),f328(f328(f10(f918(x41652,a905),f918(x41652,a905),x41651),f328(f310(x41652),x41654)),x41655)),f328(f328(f310(x41652),x41654),f328(f328(f43(x41651,f918(x41652,a905)),x41653),x41655)))
% 27.83/28.20 [4274]E(f328(f328(f3(f918(f917(x42741,x42742),a905)),f328(f328(f258(x42741,x42742),x42743),f328(f18(f918(x42742,a905),x42741),x42744))),f328(f328(f258(x42741,x42742),x42745),f328(f18(f918(x42742,a905),x42741),x42744))),f328(f328(f258(x42741,x42742),f328(f328(f3(f918(x42741,a905)),x42743),x42745)),f328(f18(f918(x42742,a905),x42741),x42744)))
% 27.83/28.20 [4275]E(f328(f328(f105(f918(f917(x42751,x42752),a905)),f328(f328(f258(x42751,x42752),x42753),f328(f18(f918(x42752,a905),x42751),x42754))),f328(f328(f258(x42751,x42752),x42755),f328(f18(f918(x42752,a905),x42751),x42754))),f328(f328(f258(x42751,x42752),f328(f328(f105(f918(x42751,a905)),x42753),x42755)),f328(f18(f918(x42752,a905),x42751),x42754)))
% 27.83/28.20 [4276]E(f328(f328(f106(f918(f917(x42761,x42762),a905)),f328(f328(f258(x42761,x42762),x42763),f328(f18(f918(x42762,a905),x42761),x42764))),f328(f328(f258(x42761,x42762),x42765),f328(f18(f918(x42762,a905),x42761),x42764))),f328(f328(f258(x42761,x42762),f328(f328(f106(f918(x42761,a905)),x42763),x42765)),f328(f18(f918(x42762,a905),x42761),x42764)))
% 27.83/28.20 [4319]E(f328(f328(f156(x43191,x43192),x43193),f328(f138(x43191,f328(f76(x43192,a905,x43191,x43194),x43193)),x43195)),f328(f138(x43192,x43194),f328(f328(f156(x43191,x43192),x43193),x43195)))
% 27.83/28.20 [4325]E(f328(f191(f912(x43251)),f328(f138(x43251,x43252),f328(f328(f156(x43253,x43251),x43254),x43255))),f328(f191(f912(x43253)),f328(f138(x43253,f328(f76(x43251,a905,x43253,x43252),x43254)),x43255)))
% 27.83/28.20 [4532]E(f328(f158(f912(f917(x45321,x45322)),x45322,f117(f917(x45321,x45322)),f328(f328(f9(x45322,f918(f912(x45322),f912(f917(x45321,x45322))),f918(f912(x45322),f912(f917(x45321,x45322)))),f328(f328(f10(f918(f912(f917(x45321,x45322)),f912(f917(x45321,x45322))),f918(f918(f912(x45322),f912(f917(x45321,x45322))),f918(f912(x45322),f912(f917(x45321,x45322)))),x45322),f10(f912(f917(x45321,x45322)),f912(f917(x45321,x45322)),f912(x45322))),f328(f328(f10(f917(x45321,x45322),f918(f912(f917(x45321,x45322)),f912(f917(x45321,x45322))),x45322),f153(f917(x45321,x45322))),f328(f256(x45321,x45322),x45323)))),f328(f183(x45321,x45322),x45324))),x45325),f328(f328(f183(x45321,x45322),f328(f328(f153(x45321),x45323),x45324)),x45325))
% 27.83/28.20 [4024]E(f328(f328(f161(x40241,f328(f328(f161(x40241,x40242),x40243),x40244)),x40243),x40245),f328(f328(f161(x40241,x40242),x40243),x40245))
% 27.83/28.20 [4076]E(f328(f286(x40761,x40762),f328(f328(f310(f917(x40761,x40762)),f328(f328(f256(x40761,x40762),x40763),x40764)),x40765)),f328(f328(f310(x40762),x40764),f328(f286(x40761,x40762),x40765)))
% 27.83/28.20 [4077]E(f328(f268(x40771,x40772),f328(f328(f310(f917(x40771,x40772)),f328(f328(f256(x40771,x40772),x40773),x40774)),x40775)),f328(f328(f310(x40771),x40773),f328(f268(x40771,x40772),x40775)))
% 27.83/28.20 [4123]E(f125(x41231,x41232,f328(x41233,x41234),f328(f328(f9(x41231,a103,f913(f915(x41232))),x41235),x41234)),f328(f199(x41231,x41232,x41233,x41235),x41234))
% 27.83/28.20 [4151]E(f328(f328(f3(f918(f917(x41511,x41512),a905)),f328(f328(f258(x41511,x41512),x41513),x41514)),f328(f328(f258(x41511,x41512),x41515),x41514)),f328(f328(f258(x41511,x41512),f328(f328(f3(f918(x41511,a905)),x41513),x41515)),x41514))
% 27.83/28.20 [4152]E(f328(f328(f105(f918(f917(x41521,x41522),a905)),f328(f328(f258(x41521,x41522),x41523),x41524)),f328(f328(f258(x41521,x41522),x41525),x41524)),f328(f328(f258(x41521,x41522),f328(f328(f105(f918(x41521,a905)),x41523),x41525)),x41524))
% 27.83/28.20 [4153]E(f328(f328(f106(f918(f917(x41531,x41532),a905)),f328(f328(f258(x41531,x41532),x41533),x41534)),f328(f328(f258(x41531,x41532),x41535),x41534)),f328(f328(f258(x41531,x41532),f328(f328(f106(f918(x41531,a905)),x41533),x41535)),x41534))
% 27.83/28.20 [4212]E(f328(f328(f105(f918(x42121,a905)),f328(f328(f42(x42122,f918(x42121,a905)),x42123),x42124)),f328(f328(f42(x42122,f918(x42121,a905)),x42125),x42124)),f328(f328(f42(x42122,f918(x42121,a905)),f328(f328(f105(f918(x42122,a905)),x42123),x42125)),x42124))
% 27.83/28.20 [4213]E(f328(f328(f106(f918(x42131,a905)),f328(f328(f43(x42132,f918(x42131,a905)),x42133),x42134)),f328(f328(f43(x42132,f918(x42131,a905)),x42135),x42134)),f328(f328(f43(x42132,f918(x42131,a905)),f328(f328(f105(f918(x42132,a905)),x42133),x42135)),x42134))
% 27.83/28.20 [4222]E(f328(f328(f42(x42221,f918(x42222,a905)),x42223),f328(f328(f10(f918(x42222,a905),f918(x42222,a905),x42221),f328(f3(f918(x42222,a905)),x42224)),x42225)),f328(f328(f3(f918(x42222,a905)),x42224),f328(f328(f43(x42221,f918(x42222,a905)),x42223),x42225)))
% 27.83/28.20 [4223]E(f328(f328(f43(x42231,f918(x42232,a905)),x42233),f328(f328(f10(f918(x42232,a905),f918(x42232,a905),x42231),f328(f105(f918(x42232,a905)),x42234)),x42235)),f328(f328(f105(f918(x42232,a905)),x42234),f328(f328(f43(x42231,f918(x42232,a905)),x42233),x42235)))
% 27.83/28.20 [4224]E(f328(f328(f43(x42241,f918(x42242,a905)),x42243),f328(f328(f10(f918(x42242,a905),f918(x42242,a905),x42241),f328(f105(f918(x42242,a905)),x42244)),x42245)),f328(f328(f105(f918(x42242,a905)),x42244),f328(f328(f43(x42241,f918(x42242,a905)),x42243),x42245)))
% 27.83/28.20 [4225]E(f328(f328(f42(x42251,f918(x42252,a905)),x42253),f328(f328(f10(f918(x42252,a905),f918(x42252,a905),x42251),f328(f106(f918(x42252,a905)),x42254)),x42255)),f328(f328(f106(f918(x42252,a905)),x42254),f328(f328(f42(x42251,f918(x42252,a905)),x42253),x42255)))
% 27.83/28.20 [4226]E(f328(f328(f42(x42261,f918(x42262,a905)),x42263),f328(f328(f10(f918(x42262,a905),f918(x42262,a905),x42261),f328(f106(f918(x42262,a905)),x42264)),x42265)),f328(f328(f106(f918(x42262,a905)),x42264),f328(f328(f42(x42261,f918(x42262,a905)),x42263),x42265)))
% 27.83/28.20 [4227]E(f328(f328(f42(x42271,f918(x42272,a905)),x42273),f328(f328(f10(f918(x42272,a905),f918(x42272,a905),x42271),f328(f3(f918(x42272,a905)),x42274)),x42275)),f328(f328(f3(f918(x42272,a905)),x42274),f328(f328(f43(x42271,f918(x42272,a905)),x42273),x42275)))
% 27.83/28.20 [4228]E(f328(f328(f42(x42281,f918(x42282,a905)),x42283),f328(f328(f10(f918(x42282,a905),f918(x42282,a905),x42281),f328(f106(f918(x42282,a905)),x42284)),x42285)),f328(f328(f106(f918(x42282,a905)),x42284),f328(f328(f42(x42281,f918(x42282,a905)),x42283),x42285)))
% 27.83/28.20 [4229]E(f328(f328(f43(x42291,f918(x42292,a905)),x42293),f328(f328(f10(f918(x42292,a905),f918(x42292,a905),x42291),f328(f105(f918(x42292,a905)),x42294)),x42295)),f328(f328(f105(f918(x42292,a905)),x42294),f328(f328(f43(x42291,f918(x42292,a905)),x42293),x42295)))
% 27.83/28.20 [4284]E(f187(f912(x42841),f328(f328(f153(x42841),x42842),x42843),f328(f328(f10(f912(x42841),f912(x42841),a911),f328(f153(x42841),x42844)),f328(f328(f9(a911,x42841,f912(x42841)),f161(x42841,x42843)),x42842)),x42845),f328(f328(f161(x42841,f328(f328(f153(x42841),x42844),x42843)),x42845),x42842))
% 27.83/28.20 [4288]E(f328(f328(f42(x42881,f918(f917(x42882,x42883),a905)),x42884),f328(f328(f10(f918(f917(x42883,x42882),a905),f918(f917(x42882,x42883),a905),x42881),f288(x42883,x42882)),x42885)),f328(f288(x42883,x42882),f328(f328(f42(x42881,f918(f917(x42883,x42882),a905)),x42884),x42885)))
% 27.83/28.20 [4289]E(f328(f328(f43(x42891,f918(f917(x42892,x42893),a905)),x42894),f328(f328(f10(f918(f917(x42893,x42892),a905),f918(f917(x42892,x42893),a905),x42891),f288(x42893,x42892)),x42895)),f328(f288(x42893,x42892),f328(f328(f43(x42891,f918(f917(x42893,x42892),a905)),x42894),x42895)))
% 27.83/28.20 [4390]P107(f328(f328(f239(f918(x43901,a905)),f328(f328(f3(f918(x43901,a905)),f328(f311(x43902,x43901,x43903),x43904)),f328(f311(x43902,x43901,x43903),x43905))),f328(f311(x43902,x43901,x43903),f328(f328(f3(f918(x43902,a905)),x43904),x43905))))
% 27.83/28.20 [4535]E(f328(f158(f912(f917(x45351,x45352)),x45351,f117(f917(x45351,x45352)),f328(f328(f9(x45351,f918(f912(x45351),f912(f917(x45351,x45352))),f918(f912(x45351),f912(f917(x45351,x45352)))),f328(f328(f10(f918(f912(f917(x45351,x45352)),f912(f917(x45351,x45352))),f918(f918(f912(x45351),f912(f917(x45351,x45352))),f918(f912(x45351),f912(f917(x45351,x45352)))),x45351),f10(f912(f917(x45351,x45352)),f912(f917(x45351,x45352)),f912(x45351))),f328(f328(f10(f917(x45351,x45352),f918(f912(f917(x45351,x45352)),f912(f917(x45351,x45352))),x45351),f153(f917(x45351,x45352))),f328(f328(f9(x45351,x45352,f917(x45351,x45352)),f256(x45351,x45352)),x45353)))),f328(f328(f9(f912(x45351),f912(x45352),f912(f917(x45351,x45352))),f183(x45351,x45352)),x45354))),x45355),f328(f328(f183(x45351,x45352),x45355),f328(f328(f153(x45352),x45353),x45354)))
% 27.83/28.20 [4253]E(f328(f328(f105(f918(x42531,a905)),f328(f287(x42532,x42531,x42533),x42534)),f328(f287(x42532,x42531,x42535),x42534)),f328(f287(x42532,x42531,f328(f328(f105(f918(f917(x42532,x42531),a905)),x42533),x42535)),x42534))
% 27.83/28.20 [4290]E(f328(f328(f136(f917(x42901,x42902)),f328(f328(f183(x42901,x42902),x42903),f328(f328(f177(x42902),f328(f191(f912(x42901)),x42903)),x42904))),f328(f328(f183(x42901,x42902),x42905),f328(f328(f140(x42902),f328(f191(f912(x42901)),x42903)),x42904))),f328(f328(f183(x42901,x42902),f328(f328(f136(x42901),x42903),x42905)),x42904))
% 27.83/28.20 [4393]E(f328(f328(f258(x43931,x43932),x43933),f328(f328(f20(x43931,f918(x43932,a905),f918(x43932,a905)),f328(f328(f10(f918(x43932,a905),f918(f918(x43932,a905),f918(x43932,a905)),x43931),f3(f918(x43932,a905))),x43934)),x43935)),f328(f328(f3(f918(f917(x43931,x43932),a905)),f328(f328(f258(x43931,x43932),x43933),x43934)),f328(f328(f258(x43931,x43932),x43933),x43935)))
% 27.83/28.20 [4394]E(f328(f328(f258(x43941,x43942),x43943),f328(f328(f20(x43941,f918(x43942,a905),f918(x43942,a905)),f328(f328(f10(f918(x43942,a905),f918(f918(x43942,a905),f918(x43942,a905)),x43941),f105(f918(x43942,a905))),x43944)),x43945)),f328(f328(f105(f918(f917(x43941,x43942),a905)),f328(f328(f258(x43941,x43942),x43943),x43944)),f328(f328(f258(x43941,x43942),x43943),x43945)))
% 27.83/28.20 [4395]E(f328(f328(f258(x43951,x43952),x43953),f328(f328(f20(x43951,f918(x43952,a905),f918(x43952,a905)),f328(f328(f10(f918(x43952,a905),f918(f918(x43952,a905),f918(x43952,a905)),x43951),f106(f918(x43952,a905))),x43954)),x43955)),f328(f328(f106(f918(f917(x43951,x43952),a905)),f328(f328(f258(x43951,x43952),x43953),x43954)),f328(f328(f258(x43951,x43952),x43953),x43955)))
% 27.83/28.20 [4396]E(f328(f328(f42(x43961,f918(x43962,a905)),x43963),f328(f328(f9(x43961,f918(x43962,a905),f918(x43962,a905)),f328(f328(f10(f918(x43962,a905),f918(f918(x43962,a905),f918(x43962,a905)),x43961),f3(f918(x43962,a905))),x43964)),x43965)),f328(f328(f3(f918(x43962,a905)),f328(f328(f42(x43961,f918(x43962,a905)),x43963),x43964)),x43965))
% 27.83/28.20 [4397]E(f328(f328(f43(x43971,f918(x43972,a905)),x43973),f328(f328(f9(x43971,f918(x43972,a905),f918(x43972,a905)),f328(f328(f10(f918(x43972,a905),f918(f918(x43972,a905),f918(x43972,a905)),x43971),f105(f918(x43972,a905))),x43974)),x43975)),f328(f328(f105(f918(x43972,a905)),f328(f328(f43(x43971,f918(x43972,a905)),x43973),x43974)),x43975))
% 27.83/28.20 [4398]E(f328(f328(f42(x43981,f918(x43982,a905)),x43983),f328(f328(f9(x43981,f918(x43982,a905),f918(x43982,a905)),f328(f328(f10(f918(x43982,a905),f918(f918(x43982,a905),f918(x43982,a905)),x43981),f106(f918(x43982,a905))),x43984)),x43985)),f328(f328(f106(f918(x43982,a905)),f328(f328(f42(x43981,f918(x43982,a905)),x43983),x43984)),x43985))
% 27.83/28.20 [4399]E(f328(f328(f42(x43991,f918(x43992,a905)),x43993),f328(f328(f9(x43991,f918(x43992,a905),f918(x43992,a905)),f328(f328(f10(f918(x43992,a905),f918(f918(x43992,a905),f918(x43992,a905)),x43991),f3(f918(x43992,a905))),x43994)),x43995)),f328(f328(f3(f918(x43992,a905)),f328(f328(f42(x43991,f918(x43992,a905)),x43993),x43994)),x43995))
% 27.83/28.20 [4400]E(f328(f328(f42(x44001,f918(x44002,a905)),x44003),f328(f328(f9(x44001,f918(x44002,a905),f918(x44002,a905)),f328(f328(f10(f918(x44002,a905),f918(f918(x44002,a905),f918(x44002,a905)),x44001),f106(f918(x44002,a905))),x44004)),x44005)),f328(f328(f106(f918(x44002,a905)),f328(f328(f42(x44001,f918(x44002,a905)),x44003),x44004)),x44005))
% 27.83/28.20 [4401]E(f328(f328(f43(x44011,f918(x44012,a905)),x44013),f328(f328(f9(x44011,f918(x44012,a905),f918(x44012,a905)),f328(f328(f10(f918(x44012,a905),f918(f918(x44012,a905),f918(x44012,a905)),x44011),f105(f918(x44012,a905))),x44014)),x44015)),f328(f328(f105(f918(x44012,a905)),f328(f328(f43(x44011,f918(x44012,a905)),x44013),x44014)),x44015))
% 27.83/28.20 [4405]E(f328(f328(f42(x44051,f918(x44052,a905)),x44053),f328(f328(f20(x44051,f918(x44052,a905),f918(x44052,a905)),f328(f328(f10(f918(x44052,a905),f918(f918(x44052,a905),f918(x44052,a905)),x44051),f105(f918(x44052,a905))),x44054)),x44055)),f328(f328(f105(f918(x44052,a905)),f328(f328(f42(x44051,f918(x44052,a905)),x44053),x44054)),f328(f328(f42(x44051,f918(x44052,a905)),x44053),x44055)))
% 27.83/28.20 [4406]E(f328(f328(f43(x44061,f918(x44062,a905)),x44063),f328(f328(f20(x44061,f918(x44062,a905),f918(x44062,a905)),f328(f328(f10(f918(x44062,a905),f918(f918(x44062,a905),f918(x44062,a905)),x44061),f106(f918(x44062,a905))),x44064)),x44065)),f328(f328(f106(f918(x44062,a905)),f328(f328(f43(x44061,f918(x44062,a905)),x44063),x44064)),f328(f328(f43(x44061,f918(x44062,a905)),x44063),x44065)))
% 27.83/28.20 [4419]E(f328(f328(f42(x44191,f918(x44192,a905)),x44193),f328(f328(f20(x44191,f918(x44192,a905),f918(x44192,a905)),f328(f328(f10(f918(x44192,a905),f918(f918(x44192,a905),f918(x44192,a905)),x44191),f105(f918(x44192,a905))),x44194)),x44195)),f328(f328(f105(f918(x44192,a905)),f40(f918(x44192,a905),f328(f311(x44191,f918(x44192,a905),x44194),x44193))),f40(f918(x44192,a905),f328(f311(x44191,f918(x44192,a905),x44195),x44193))))
% 27.83/28.20 [4420]E(f328(f328(f43(x44201,f918(x44202,a905)),x44203),f328(f328(f20(x44201,f918(x44202,a905),f918(x44202,a905)),f328(f328(f10(f918(x44202,a905),f918(f918(x44202,a905),f918(x44202,a905)),x44201),f106(f918(x44202,a905))),x44204)),x44205)),f328(f328(f106(f918(x44202,a905)),f41(f918(x44202,a905),f328(f311(x44201,f918(x44202,a905),x44204),x44203))),f41(f918(x44202,a905),f328(f311(x44201,f918(x44202,a905),x44205),x44203))))
% 27.83/28.20 [4456]E(f328(f328(f140(x44561),f328(f191(f912(x44561)),f179(x44561,x44562,f328(f328(f156(x44563,x44561),x44564),x44565)))),f328(f328(f156(x44563,x44561),x44564),x44565)),f328(f328(f156(x44563,x44561),x44564),f328(f328(f140(x44563),f328(f191(f912(x44563)),f179(x44563,f328(f76(x44561,a905,x44563,x44562),x44564),x44565))),x44565)))
% 27.83/28.20 [4332]E(f328(f328(f136(f917(x43321,x43322)),f328(f328(f183(x43321,x43322),f328(f328(f177(x43321),f328(f191(f912(x43322)),x43323)),x43324)),x43323)),f328(f328(f183(x43321,x43322),f328(f328(f140(x43321),f328(f191(f912(x43322)),x43323)),x43324)),x43325)),f328(f328(f183(x43321,x43322),x43324),f328(f328(f136(x43322),x43323),x43325)))
% 27.83/28.20 [4447]E(f88(x44471,f328(f328(f20(x44471,a905,a905),f328(f328(f10(a905,f918(a905,a905),x44471),a326),f328(f328(f9(x44471,f918(x44471,a905),a905),f330(x44471)),x44472))),f328(f328(f9(x44471,x44473,a905),f328(f328(f10(x44473,f918(x44473,a905),x44471),a325),x44474)),x44475))),f328(f80(x44471,x44473,x44472,x44474),x44475))
% 27.83/28.20 [4448]E(f93(x44481,f328(f328(f20(x44481,a905,a905),f328(f328(f10(a905,f918(a905,a905),x44481),a326),f328(f328(f9(x44481,f918(x44481,a905),a905),f330(x44481)),x44482))),f328(f328(f9(x44481,x44483,a905),f328(f328(f10(x44483,f918(x44483,a905),x44481),a325),x44484)),x44485))),f328(f95(x44481,x44483,x44482,x44484),x44485))
% 27.83/28.20 [4496]E(f328(f328(f89(a1,x44961),f328(f108(a1),f328(f328(f83(a1),x44962),a101))),f328(f328(f20(a1,x44961,x44961),f328(f328(f9(a1,x44961,f918(x44961,x44961)),f328(f328(f10(a905,f918(x44961,f918(x44961,x44961)),a1),f100(x44961)),a195)),f187(x44961,x44963,x44964,x44965))),f328(f328(f10(a911,x44961,a1),x44964),f328(f328(f9(a1,a911,a911),f328(f328(f10(a911,f918(a911,a911),a1),f83(a911)),a109)),x44965)))),f187(x44961,x44963,x44964,f328(f328(f83(a911),f328(f108(a911),x44962)),x44965)))
% 27.83/28.20 [4531]E(f328(f328(f89(a1,x45311),f328(f108(a1),f328(f328(f83(a1),x45312),a101))),f328(f328(f20(a1,x45311,x45311),f328(f328(f9(a1,x45311,f918(x45311,x45311)),f328(f328(f10(a905,f918(x45311,f918(x45311,x45311)),a1),f100(x45311)),a195)),f328(f186(x45311,x45313,x45314),x45315))),f328(f328(f20(a1,x45311,x45311),f328(f328(f10(a911,f918(x45311,x45311),a1),x45314),f328(f328(f9(a1,a911,a911),f328(f328(f10(a911,f918(a911,a911),a1),f83(a911)),a109)),x45315))),f328(f328(f10(a911,x45311,a1),f186(x45311,x45313,x45314)),f328(f328(f9(a1,a911,a911),f328(f328(f10(a911,f918(a911,a911),a1),f83(a911)),a109)),x45315))))),f328(f186(x45311,x45313,x45314),f328(f328(f83(a911),f328(f108(a911),x45312)),x45315)))
% 27.83/28.20 [4567]E(f328(f266(f917(x45671,x45672)),f328(f261(x45671,x45672,a905),f328(f328(f10(f918(x45672,f918(x45673,a905)),f918(x45672,a905),x45671),f328(f10(f918(x45673,a905),a905,x45672),f90(x45673))),f328(f328(f9(x45671,f918(x45672,f918(x45673,a905)),f918(x45672,f918(x45673,a905))),f328(f328(f10(f918(f918(x45673,a905),f918(x45673,a905)),f918(f918(x45672,f918(x45673,a905)),f918(x45672,f918(x45673,a905))),x45671),f10(f918(x45673,a905),f918(x45673,a905),x45672)),f328(f328(f10(f918(x45673,f918(a905,a905)),f918(f918(x45673,a905),f918(x45673,a905)),x45671),f20(x45673,a905,a905)),f328(f328(f10(f918(x45673,a905),f918(x45673,f918(a905,a905)),x45671),f328(f10(a905,f918(a905,a905),x45673),a326)),f328(f328(f9(x45671,f918(f917(x45671,x45673),a905),f918(x45673,a905)),f328(f328(f10(f918(x45673,f918(f918(f917(x45671,x45673),a905),a905)),f918(f918(f917(x45671,x45673),a905),f918(x45673,a905)),x45671),f9(x45673,f918(f917(x45671,x45673),a905),a905)),f328(f328(f10(f918(x45673,f917(x45671,x45673)),f918(x45673,f918(f918(f917(x45671,x45673),a905),a905)),x45671),f328(f10(f917(x45671,x45673),f918(f918(f917(x45671,x45673),a905),a905),x45673),f330(f917(x45671,x45673)))),f256(x45671,x45673)))),x45674))))),f328(f328(f9(x45672,f918(f917(x45673,x45672),a905),f918(x45673,a905)),f328(f328(f10(f918(x45673,f918(f918(f917(x45673,x45672),a905),a905)),f918(f918(f917(x45673,x45672),a905),f918(x45673,a905)),x45672),f9(x45673,f918(f917(x45673,x45672),a905),a905)),f328(f328(f10(f918(x45673,f917(x45673,x45672)),f918(x45673,f918(f918(f917(x45673,x45672),a905),a905)),x45672),f328(f10(f917(x45673,x45672),f918(f918(f917(x45673,x45672),a905),a905),x45673),f330(f917(x45673,x45672)))),f328(f9(x45673,x45672,f917(x45673,x45672)),f256(x45673,x45672))))),x45675))))),f328(f328(f290(x45671,x45673,x45672),x45674),x45675))
% 27.83/28.20 [4662]~E(f31(x46621,x46622,x46623),f29(x46624,x46625,x46626))
% 27.83/28.20 [4663]~E(f31(x46631,x46632,x46633),f29(x46634,x46635,x46636))
% 27.83/28.20 [4664]~E(f30(x46641,x46642,x46643),f29(x46644,x46645,x46646))
% 27.83/28.20 [4665]~E(f30(x46651,x46652,x46653),f31(x46654,x46655,x46656))
% 27.83/28.20 [4666]~E(f30(x46661,x46662,x46663),f29(x46664,x46665,x46666))
% 27.83/28.20 [4667]~E(f30(x46671,x46672,x46673),f31(x46674,x46675,x46676))
% 27.83/28.20 [4181]E(f228(x41811,x41812,x41813,x41814,f224(x41811,x41812,x41815,x41816)),f328(f328(x41814,x41815),x41816))
% 27.83/28.20 [4182]E(f229(x41821,x41822,x41823,x41824,f224(x41821,x41822,x41825,x41826)),f328(f328(x41824,x41825),x41826))
% 27.83/28.20 [4308]E(f130(x43081,x43082,x43083,x43084,f129(x43082,x43085,x43086)),f328(f328(f328(x43084,x43085),x43086),f130(x43081,x43082,x43083,x43084,x43086)))
% 27.83/28.20 [4327]E(f78(x43271,x43272,f78(x43271,x43272,x43273,x43274,x43275),x43274,x43276),f78(x43271,x43272,x43273,x43274,x43276))
% 27.83/28.20 [4435]E(f328(f76(f917(x44351,x44352),x44352,f917(x44353,x44354),f260(x44351,x44352)),f262(x44353,x44351,x44354,x44352,x44355,x44356)),f328(f76(x44354,x44352,f917(x44353,x44354),x44356),f260(x44353,x44354)))
% 27.83/28.20 [4436]E(f328(f76(f917(x44361,x44362),x44361,f917(x44363,x44364),f255(x44361,x44362)),f262(x44363,x44361,x44364,x44362,x44365,x44366)),f328(f76(x44363,x44361,f917(x44363,x44364),x44365),f255(x44363,x44364)))
% 27.83/28.20 [4051]E(f328(f328(f76(x40511,x40512,x40513,x40514),x40515),x40516),f328(x40514,f328(x40515,x40516)))
% 27.83/28.20 [4052]E(f328(f328(f76(x40521,x40522,x40523,x40524),x40525),x40526),f328(x40524,f328(x40525,x40526)))
% 27.83/28.20 [4191]E(f227(x41911,f917(x41912,f913(x41912)),x41913,f328(f261(x41912,f913(x41912),x41911),x41914),f328(f137(x41912),f129(x41912,x41915,x41916))),f328(f328(x41914,x41915),x41916))
% 27.83/28.20 [4242]E(f230(x42421,x42422,x42423,x42424,f224(x42421,x42422,x42425,x42426)),f328(f328(f83(a911),f328(f328(f83(a911),f328(x42423,x42425)),f328(x42424,x42426))),f328(a116,f2(a911))))
% 27.83/28.20 [3846]E(f328(f328(f261(x38461,x38462,x38463),x38464),f328(f328(f256(x38461,x38462),x38465),x38466)),f328(f328(x38464,x38465),x38466))
% 27.83/28.20 [3847]E(f328(f328(f261(x38471,x38472,x38473),x38474),f328(f328(f256(x38471,x38472),x38475),x38476)),f328(f328(x38474,x38475),x38476))
% 27.83/28.20 [3848]E(f328(f328(f261(x38481,x38482,x38483),x38484),f328(f328(f256(x38481,x38482),x38485),x38486)),f328(f328(x38484,x38485),x38486))
% 27.83/28.20 [3910]E(f328(f328(f328(f10(x39101,x39102,x39103),x39104),x39105),x39106),f328(x39104,f328(x39105,x39106)))
% 27.83/28.20 [3911]E(f328(f328(f328(f9(x39111,x39112,x39113),x39114),x39115),x39116),f328(f328(x39114,x39116),x39115))
% 27.83/28.20 [3929]E(f328(f328(f328(f20(x39291,x39292,x39293),x39294),x39295),x39296),f328(f328(x39294,x39296),f328(x39295,x39296)))
% 27.83/28.20 [3951]E(f328(f158(x39511,x39512,x39513,x39514),f328(f328(f153(x39512),x39515),x39516)),f328(f328(x39514,x39515),x39516))
% 27.83/28.20 [3991]E(f171(f917(x39911,x39912),f328(f328(f243(a911),x39913),x39914),f328(f328(f256(x39911,x39912),x39915),x39916)),f328(f328(f183(x39911,x39912),f171(x39911,x39913,x39915)),f171(x39912,x39914,x39916)))
% 27.83/28.20 [4056]E(f328(f328(f153(f917(x40561,x40562)),f328(f328(f256(x40561,x40562),x40563),x40564)),f328(f328(f183(x40561,x40562),x40565),x40566)),f328(f328(f183(x40561,x40562),f328(f328(f153(x40561),x40563),x40565)),f328(f328(f153(x40562),x40564),x40566)))
% 27.83/28.20 [4057]E(f328(f328(f156(x40571,x40572),x40573),f328(f328(f161(x40571,x40574),x40575),x40576)),f328(f328(f161(x40572,f328(f328(f156(x40571,x40572),x40573),x40574)),x40575),f328(x40573,x40576)))
% 27.83/28.20 [4080]E(f328(f328(f259(x40801,x40802,x40803,x40804),x40805),x40806),f328(x40804,f328(f328(f256(x40801,x40802),x40805),x40806)))
% 27.83/28.20 [4098]E(f328(f144(x40981,x40982,x40983,x40984),f328(f328(f153(x40982),x40985),x40986)),f328(f144(x40981,x40982,x40983,f328(f328(x40983,x40984),x40985)),x40986))
% 27.83/28.20 [4124]E(f264(x41241,x41242,x41243,x41244,f328(f328(f256(x41241,x41242),x41245),x41246)),f328(f328(x41244,x41245),x41246))
% 27.83/28.20 [4205]E(f328(f328(f42(x42051,f918(x42052,a905)),x42053),f328(f76(x42054,f918(x42052,a905),x42051,x42055),x42056)),f328(f328(f42(x42054,f918(x42052,a905)),f328(f311(x42051,x42054,x42056),x42053)),x42055))
% 27.83/28.20 [4255]E(f328(f328(f156(x42551,x42552),x42553),f328(f328(f156(x42554,x42551),x42555),x42556)),f328(f328(f156(x42554,x42552),f328(f76(x42551,x42552,x42554,x42553),x42555)),x42556))
% 27.83/28.20 [4256]E(f328(f328(f156(x42561,x42562),x42563),f328(f328(f156(x42564,x42561),x42565),x42566)),f328(f328(f156(x42564,x42562),f328(f76(x42561,x42562,x42564,x42563),x42565)),x42566))
% 27.83/28.20 [4262]E(f328(f311(x42621,x42622,f328(f76(x42623,x42622,x42621,x42624),x42625)),x42626),f328(f311(x42623,x42622,x42624),f328(f311(x42621,x42623,x42625),x42626)))
% 27.83/28.20 [4263]E(f328(f312(x42631,x42632,f328(f76(x42633,x42632,x42631,x42634),x42635)),x42636),f328(f312(x42631,x42633,x42635),f328(f312(x42633,x42632,x42634),x42636)))
% 27.83/28.20 [4291]E(f328(f144(x42911,x42912,x42913,f328(f144(x42911,x42912,x42913,x42914),x42915)),x42916),f328(f144(x42911,x42912,x42913,x42914),f328(f328(f136(x42912),x42915),x42916)))
% 27.83/28.20 [4425]E(f328(f262(x44251,x44251,x44252,x44253,f35(x44251),x44254),f328(f328(f256(x44251,x44252),x44255),x44256)),f328(f328(f256(x44251,x44253),x44255),f328(x44254,x44256)))
% 27.83/28.20 [4426]E(f328(f262(x44261,x44262,x44263,x44263,x44264,f35(x44263)),f328(f328(f256(x44261,x44263),x44265),x44266)),f328(f328(f256(x44262,x44263),f328(x44264,x44265)),x44266))
% 27.83/28.20 [4514]E(f328(f328(f156(f917(x45141,x45142),f917(x45141,x45143)),f328(f261(x45141,x45142,f917(x45141,x45143)),f328(f328(f9(x45141,f918(x45142,x45143),f918(x45142,f917(x45141,x45143))),f328(f328(f10(f918(x45143,f917(x45141,x45143)),f918(f918(x45142,x45143),f918(x45142,f917(x45141,x45143))),x45141),f10(x45143,f917(x45141,x45143),x45142)),f256(x45141,x45143))),x45144))),f328(f328(f183(x45141,x45142),x45145),x45146)),f328(f328(f183(x45141,x45143),x45145),f328(f328(f156(x45142,x45143),x45144),x45146)))
% 27.83/28.20 [3915]E(f98(x39151,x39152,x39153,f328(f328(f328(f94(x39151),x39154),x39155),x39156)),f328(f328(f328(x39153,x39154),x39155),x39156))
% 27.83/28.20 [3916]E(f99(x39161,x39162,x39163,f328(f328(f328(f94(x39161),x39164),x39165),x39166)),f328(f328(f328(x39163,x39164),x39165),x39166))
% 27.83/28.20 [4108]E(f328(f328(f76(x41081,x41082,x41083,f328(f18(x41082,x41081),x41084)),x41085),x41086),x41084)
% 27.83/28.20 [4140]E(f328(f311(x41401,x41402,x41403),f328(f311(x41404,x41401,x41405),x41406)),f328(f311(x41404,x41402,f328(f328(f10(x41401,x41402,x41404),x41403),x41405)),x41406))
% 27.83/28.20 [4146]E(f328(f328(f42(x41461,f918(x41462,a905)),f328(f311(x41463,x41461,x41464),x41465)),x41466),f328(f328(f42(x41463,f918(x41462,a905)),x41465),f328(f328(f10(x41461,f918(x41462,a905),x41463),x41466),x41464)))
% 27.83/28.20 [4147]E(f328(f328(f43(x41471,f918(x41472,a905)),f328(f311(x41473,x41471,x41474),x41475)),x41476),f328(f328(f43(x41473,f918(x41472,a905)),x41475),f328(f328(f10(x41471,f918(x41472,a905),x41473),x41476),x41474)))
% 27.83/28.20 [4148]E(f328(f328(f42(x41481,f918(x41482,a905)),x41483),f328(f328(f10(x41484,f918(x41482,a905),x41481),x41485),x41486)),f328(f328(f42(x41484,f918(x41482,a905)),f328(f311(x41481,x41484,x41486),x41483)),x41485))
% 27.83/28.20 [4149]E(f328(f328(f43(x41491,f918(x41492,a905)),x41493),f328(f328(f10(x41494,f918(x41492,a905),x41491),x41495),x41496)),f328(f328(f43(x41494,f918(x41492,a905)),f328(f311(x41491,x41494,x41496),x41493)),x41495))
% 27.83/28.20 [4207]E(f328(f328(f42(x42071,f918(x42072,a905)),x42073),f328(f328(f10(f918(x42074,a905),f918(x42072,a905),x42071),f311(x42074,x42072,x42075)),x42076)),f328(f311(x42074,x42072,x42075),f328(f328(f42(x42071,f918(x42074,a905)),x42073),x42076)))
% 27.83/28.20 [4208]E(f328(f328(f42(x42081,f918(x42082,a905)),x42083),f328(f328(f10(f918(x42084,a905),f918(x42082,a905),x42081),f287(x42084,x42082,x42085)),x42086)),f328(f287(x42084,x42082,x42085),f328(f328(f42(x42081,f918(x42084,a905)),x42083),x42086)))
% 27.83/28.20 [4209]E(f328(f328(f42(x42091,f918(x42092,a905)),x42093),f328(f328(f10(f918(x42094,a905),f918(x42092,a905),x42091),f312(x42092,x42094,x42095)),x42096)),f328(f312(x42092,x42094,x42095),f328(f328(f42(x42091,f918(x42094,a905)),x42093),x42096)))
% 27.83/28.20 [4210]E(f328(f328(f43(x42101,f918(x42102,a905)),x42103),f328(f328(f10(f918(x42104,a905),f918(x42102,a905),x42101),f312(x42102,x42104,x42105)),x42106)),f328(f312(x42102,x42104,x42105),f328(f328(f43(x42101,f918(x42104,a905)),x42103),x42106)))
% 27.83/28.20 [4296]E(f328(f144(x42961,x42962,f328(f9(x42962,x42961,x42961),x42963),x42964),f328(f170(x42962),f328(f328(f153(x42962),x42965),x42966))),f328(f328(x42963,x42965),f328(f144(x42961,x42962,f328(f9(x42962,x42961,x42961),x42963),x42964),f328(f170(x42962),x42966))))
% 27.83/28.20 [4354]E(f328(f328(f20(f917(x43541,x43542),x43542,x43543),f328(f328(f10(x43544,f918(x43542,x43543),f917(x43541,x43542)),x43545),f328(f328(f10(x43541,x43544,f917(x43541,x43542)),x43546),f255(x43541,x43542)))),f260(x43541,x43542)),f328(f261(x43541,x43542,x43543),f328(f328(f10(x43544,f918(x43542,x43543),x43541),x43545),x43546)))
% 27.83/28.20 [4361]E(f328(f144(x43611,x43612,f328(f9(x43612,x43611,x43611),x43613),f328(f144(x43611,x43612,f328(f9(x43612,x43611,x43611),x43613),x43614),f328(f170(x43612),x43615))),f328(f170(x43612),x43616)),f328(f144(x43611,x43612,f328(f9(x43612,x43611,x43611),x43613),x43614),f328(f170(x43612),f328(f328(f136(x43612),x43616),x43615))))
% 27.83/28.20 [4363]E(f328(f328(f156(f917(x43631,x43632),f917(x43633,x43632)),f328(f261(x43631,x43632,f917(x43633,x43632)),f328(f328(f10(x43633,f918(x43632,f917(x43633,x43632)),x43631),f256(x43633,x43632)),x43634))),f328(f328(f183(x43631,x43632),x43635),x43636)),f328(f328(f183(x43633,x43632),f328(f328(f156(x43631,x43633),x43634),x43635)),x43636))
% 27.83/28.20 [4408]P107(f328(f328(f239(f918(x44081,a905)),f328(f287(x44082,x44081,x44083),f328(f328(f43(x44084,f918(x44082,a905)),x44085),x44086))),f328(f328(f43(x44084,f918(x44081,a905)),x44085),f328(f328(f10(f918(x44082,a905),f918(x44081,a905),x44084),f287(x44082,x44081,x44083)),x44086))))
% 27.83/28.20 [4220]E(f328(f328(f183(x42201,x42202),f328(f328(f161(x42201,x42203),x42204),f328(f255(x42201,x42202),x42205))),f328(f328(f161(x42202,x42206),x42204),f328(f260(x42201,x42202),x42205))),f328(f328(f161(f917(x42201,x42202),f328(f328(f183(x42201,x42202),x42203),x42206)),x42204),x42205))
% 27.83/28.20 [4279]E(f328(f328(f105(f918(f917(x42791,x42792),a905)),f328(f328(f290(x42791,x42793,x42792),x42794),x42795)),f328(f328(f290(x42791,x42793,x42792),x42794),x42796)),f328(f328(f290(x42791,x42793,x42792),x42794),f328(f328(f105(f918(f917(x42793,x42792),a905)),x42795),x42796)))
% 27.83/28.20 [4373]E(f328(f328(f310(f917(x43731,x43732)),f328(f328(f256(x43731,x43732),x43733),x43734)),f328(f328(f105(f918(f917(x43731,x43732),a905)),f328(f328(f258(x43731,x43732),x43735),f328(f18(f918(x43732,a905),x43731),f328(f328(f310(x43732),x43734),x43736)))),f328(f328(f258(x43731,x43732),f328(f328(f310(x43731),x43733),x43735)),f328(f18(f918(x43732,a905),x43731),x43736)))),f328(f328(f258(x43731,x43732),f328(f328(f310(x43731),x43733),x43735)),f328(f18(f918(x43732,a905),x43731),f328(f328(f310(x43732),x43734),x43736))))
% 27.83/28.20 [4452]E(f328(f328(f106(f918(x44521,a905)),f328(f312(x44521,x44522,f328(f76(f917(x44522,x44523),x44522,x44521,f255(x44522,x44523)),x44524)),x44525)),f328(f312(x44521,x44523,f328(f76(f917(x44522,x44523),x44523,x44521,f260(x44522,x44523)),x44524)),x44526)),f328(f312(x44521,f917(x44522,x44523),x44524),f328(f328(f258(x44522,x44523),x44525),f328(f18(f918(x44523,a905),x44522),x44526))))
% 27.83/28.20 [4302]E(f328(f328(f105(f918(f917(x43021,x43022),a905)),f328(f328(f290(x43021,x43023,x43022),x43024),x43025)),f328(f328(f290(x43021,x43023,x43022),x43026),x43025)),f328(f328(f290(x43021,x43023,x43022),f328(f328(f105(f918(f917(x43021,x43023),a905)),x43024),x43026)),x43025))
% 27.83/28.20 [4430]E(f328(f328(f42(x44301,f918(x44302,a905)),x44303),f328(f328(f9(x44301,f918(x44304,f918(x44302,a905)),f918(x44302,a905)),f328(f328(f10(f918(x44304,a905),f918(f918(x44304,f918(x44302,a905)),f918(x44302,a905)),x44301),f42(x44304,f918(x44302,a905))),x44305)),x44306)),f328(f328(f42(x44304,f918(x44302,a905)),f328(f328(f42(x44301,f918(x44304,a905)),x44303),x44305)),x44306))
% 27.83/28.20 [4431]E(f328(f328(f42(x44311,f918(x44312,a905)),x44313),f328(f328(f9(x44311,f918(x44314,f918(x44312,a905)),f918(x44312,a905)),f328(f328(f10(f918(x44314,a905),f918(f918(x44314,f918(x44312,a905)),f918(x44312,a905)),x44311),f42(x44314,f918(x44312,a905))),x44315)),x44316)),f328(f328(f42(x44314,f918(x44312,a905)),f328(f328(f42(x44311,f918(x44314,a905)),x44313),x44315)),x44316))
% 27.83/28.20 [4432]E(f328(f328(f43(x44321,f918(x44322,a905)),x44323),f328(f328(f9(x44321,f918(x44324,f918(x44322,a905)),f918(x44322,a905)),f328(f328(f10(f918(x44324,a905),f918(f918(x44324,f918(x44322,a905)),f918(x44322,a905)),x44321),f43(x44324,f918(x44322,a905))),x44325)),x44326)),f328(f328(f43(x44324,f918(x44322,a905)),f328(f328(f42(x44321,f918(x44324,a905)),x44323),x44325)),x44326))
% 27.83/28.20 [4433]E(f328(f328(f42(x44331,f918(x44332,a905)),x44333),f328(f328(f9(x44331,f918(x44334,f918(x44332,a905)),f918(x44332,a905)),f328(f328(f10(f918(x44334,a905),f918(f918(x44334,f918(x44332,a905)),f918(x44332,a905)),x44331),f42(x44334,f918(x44332,a905))),x44335)),x44336)),f328(f328(f42(x44334,f918(x44332,a905)),f328(f328(f42(x44331,f918(x44334,a905)),x44333),x44335)),x44336))
% 27.83/28.20 [4434]E(f328(f328(f43(x44341,f918(x44342,a905)),x44343),f328(f328(f9(x44341,f918(x44344,f918(x44342,a905)),f918(x44342,a905)),f328(f328(f10(f918(x44344,a905),f918(f918(x44344,f918(x44342,a905)),f918(x44342,a905)),x44341),f43(x44344,f918(x44342,a905))),x44345)),x44346)),f328(f328(f43(x44344,f918(x44342,a905)),f328(f328(f42(x44341,f918(x44344,a905)),x44343),x44345)),x44346))
% 27.83/28.20 [4486]E(f328(f261(x44861,x44862,f917(x44863,x44864)),f328(f328(f9(x44861,f918(x44862,x44864),f918(x44862,f917(x44863,x44864))),f328(f328(f10(f918(x44864,f917(x44863,x44864)),f918(f918(x44862,x44864),f918(x44862,f917(x44863,x44864))),x44861),f10(x44864,f917(x44863,x44864),x44862)),f328(f328(f10(x44863,f918(x44864,f917(x44863,x44864)),x44861),f256(x44863,x44864)),x44865))),x44866)),f262(x44861,x44863,x44862,x44864,x44865,x44866))
% 27.83/28.20 [4509]E(f328(f311(x45091,x45092,f328(f328(f20(x45091,x45092,x45092),f328(f328(f20(x45091,x45092,f918(x45092,x45092)),f328(f328(f10(a905,f918(x45092,f918(x45092,x45092)),x45091),f100(x45092)),x45093)),x45094)),x45095)),x45096),f328(f328(f105(f918(x45092,a905)),f328(f311(x45091,x45092,x45094),f328(f328(f106(f918(x45091,a905)),x45096),f328(f266(x45091),x45093)))),f328(f311(x45091,x45092,x45095),f328(f328(f106(f918(x45091,a905)),x45096),f328(f266(x45091),f328(f328(f10(a905,a905,x45091),a323),x45093))))))
% 27.83/28.20 [4521]E(f328(f311(x45211,f917(x45212,x45213),f328(f328(f20(x45211,x45213,f917(x45212,x45213)),f328(f328(f10(x45212,f918(x45213,f917(x45212,x45213)),x45211),f256(x45212,x45213)),x45214)),x45215)),x45216),f328(f328(f258(x45212,x45213),f328(f311(x45211,x45212,x45214),x45216)),f328(f328(f10(f918(x45211,a905),f918(x45213,a905),x45212),f311(x45211,x45213,x45215)),f328(f328(f9(x45212,f918(x45211,a905),f918(x45211,a905)),f328(f328(f10(f918(x45211,a905),f918(f918(x45211,a905),f918(x45211,a905)),x45212),f106(f918(x45211,a905))),f328(f328(f10(f918(x45212,a905),f918(x45211,a905),x45212),f312(x45211,x45212,x45214)),f328(f328(f9(x45212,f918(x45212,a905),f918(x45212,a905)),f310(x45212)),f190(f918(x45212,a905)))))),x45216))))
% 27.83/28.20 [4546]E(f250(x45461,x45462,x45463,x45464,x45465,x45466),f328(x45464,f328(f266(x45461),f328(f328(f10(f918(f918(x45463,x45461),a905),a905,x45461),f90(f918(x45463,x45461))),f328(f328(f10(f918(f918(x45463,x45461),a905),f918(f918(x45463,x45461),a905),x45461),f328(f20(f918(x45463,x45461),a905,a905),f328(f328(f10(a905,f918(a905,a905),f918(x45463,x45461)),a326),f328(f328(f9(f918(x45463,x45461),f918(f918(x45463,x45461),a905),a905),f330(f918(x45463,x45461))),x45465)))),f328(f328(f9(x45461,f918(f918(x45463,x45461),x45461),f918(f918(x45463,x45461),a905)),f328(f328(f10(f918(x45461,a905),f918(f918(f918(x45463,x45461),x45461),f918(f918(x45463,x45461),a905)),x45461),f10(x45461,a905,f918(x45463,x45461))),a325)),f328(f328(f9(f918(x45463,x45461),x45463,x45461),f7(f918(x45463,x45461))),x45466)))))))
% 27.83/28.20 [4335]E(f328(f76(x43351,x43352,x43353,x43354),f78(x43353,x43351,x43355,x43356,x43357)),f78(x43353,x43352,f328(f76(x43351,x43352,x43353,x43354),x43355),x43356,f328(x43354,x43357)))
% 27.83/28.20 [4469]E(f328(f260(x44691,x44692),f328(f262(x44693,x44691,x44694,x44692,x44695,x44696),x44697)),f328(x44696,f328(f260(x44693,x44694),x44697)))
% 27.83/28.20 [4470]E(f328(f255(x44701,x44702),f328(f262(x44703,x44701,x44704,x44702,x44705,x44706),x44707)),f328(x44705,f328(f255(x44703,x44704),x44707)))
% 27.83/28.20 [4183]E(f328(f328(f183(x41831,x41832),f328(f328(f161(x41831,x41833),x41834),x41835)),f328(f328(f161(x41832,x41836),x41834),x41837)),f328(f328(f161(f917(x41831,x41832),f328(f328(f183(x41831,x41832),x41833),x41836)),x41834),f328(f328(f256(x41831,x41832),x41835),x41837)))
% 27.83/28.20 [4250]E(f328(f328(f328(f263(x42501,x42502,x42503,x42504),x42505),x42506),x42507),f328(f328(f261(x42502,x42503,x42504),x42506),f328(x42505,x42507)))
% 27.83/28.20 [4251]E(f328(f328(f328(f263(x42511,x42512,x42513,x42514),x42515),x42516),x42517),f328(f328(f261(x42512,x42513,x42514),x42516),f328(x42515,x42517)))
% 27.83/28.20 [4261]E(f328(f328(f328(f263(x42611,x42612,x42613,x42614),x42615),x42616),x42617),f328(f328(x42616,f328(f255(x42612,x42613),f328(x42615,x42617))),f328(f260(x42612,x42613),f328(x42615,x42617))))
% 27.83/28.20 [4313]E(f328(f76(x43131,x43132,x43133,x43134),f328(f76(x43135,x43131,x43133,x43136),x43137)),f328(f76(x43135,x43132,x43133,f328(f76(x43131,x43132,x43135,x43134),x43136)),x43137))
% 27.83/28.20 [4490]E(f328(f262(x44901,x44902,x44903,x44903,x44904,f35(x44903)),f328(f262(x44901,x44901,x44905,x44903,f35(x44901),x44906),x44907)),f328(f328(f256(x44902,x44903),f328(x44904,f328(f255(x44901,x44905),x44907))),f328(x44906,f328(f260(x44901,x44905),x44907))))
% 27.83/28.20 [4491]E(f328(f262(x44911,x44911,x44912,x44913,f35(x44911),x44914),f328(f262(x44915,x44911,x44912,x44912,x44916,f35(x44912)),x44917)),f328(f328(f256(x44911,x44913),f328(x44916,f328(f255(x44915,x44912),x44917))),f328(x44914,f328(f260(x44915,x44912),x44917))))
% 27.83/28.20 [4507]E(f328(f262(x45071,x45072,x45073,x45073,x45074,f35(x45073)),f328(f262(x45075,x45071,x45073,x45073,x45076,f35(x45073)),x45077)),f328(f262(x45075,x45072,x45073,x45073,f328(f76(x45071,x45072,x45075,x45074),x45076),f35(x45073)),x45077))
% 27.83/28.20 [4508]E(f328(f262(x45081,x45081,x45082,x45083,f35(x45081),x45084),f328(f262(x45081,x45081,x45085,x45082,f35(x45081),x45086),x45087)),f328(f262(x45081,x45081,x45085,x45083,f35(x45081),f328(f76(x45082,x45083,x45085,x45084),x45086)),x45087))
% 27.83/28.20 [4518]E(f328(f262(x45181,x45182,x45183,x45183,x45184,f35(x45183)),f328(f262(x45181,x45181,x45185,x45183,f35(x45181),x45186),x45187)),f328(f262(x45182,x45182,x45185,x45183,f35(x45182),x45186),f328(f262(x45181,x45182,x45185,x45185,x45184,f35(x45185)),x45187)))
% 27.83/28.20 [4217]E(f328(f328(f290(x42171,x42172,x42173),f328(f328(f290(x42171,x42174,x42172),x42175),x42176)),x42177),f328(f328(f290(x42171,x42174,x42173),x42175),f328(f328(f290(x42174,x42172,x42173),x42176),x42177)))
% 27.83/28.20 [4285]E(f328(f328(f261(x42851,x42852,x42853),f328(f76(x42854,f918(x42852,x42853),x42851,x42855),x42856)),x42857),f328(f328(x42855,f328(x42856,f328(f255(x42851,x42852),x42857))),f328(f260(x42851,x42852),x42857)))
% 27.83/28.20 [4366]E(f328(f144(x43661,x43662,f328(f9(x43662,x43661,x43661),x43663),x43664),f328(f170(x43662),f328(f328(f156(x43665,x43662),x43666),x43667))),f328(f144(x43661,x43665,f328(f9(x43665,x43661,x43661),f328(f76(x43662,f918(x43661,x43661),x43665,x43663),x43666)),x43664),f328(f170(x43665),x43667)))
% 27.83/28.20 [4314]E(f328(f328(f42(x43141,f918(f917(x43142,x43143),a905)),x43144),f328(f328(f10(f918(f917(x43145,x43143),a905),f918(f917(x43142,x43143),a905),x43141),f328(f290(x43142,x43145,x43143),x43146)),x43147)),f328(f328(f290(x43142,x43145,x43143),x43146),f328(f328(f42(x43141,f918(f917(x43145,x43143),a905)),x43144),x43147)))
% 27.83/28.20 [4457]E(f328(f328(f42(x44571,f918(f917(x44572,x44573),a905)),x44574),f328(f328(f9(x44571,f918(f917(x44575,x44573),a905),f918(f917(x44572,x44573),a905)),f328(f328(f10(f918(f917(x44572,x44575),a905),f918(f918(f917(x44575,x44573),a905),f918(f917(x44572,x44573),a905)),x44571),f290(x44572,x44575,x44573)),x44576)),x44577)),f328(f328(f290(x44572,x44575,x44573),f328(f328(f42(x44571,f918(f917(x44572,x44575),a905)),x44574),x44576)),x44577))
% 27.83/28.20 [4458]E(f328(f144(x44581,x44582,f328(f328(f9(x44581,f918(x44582,x44583),f918(x44582,x44581)),f328(f328(f10(f918(x44583,x44581),f918(f918(x44582,x44583),f918(x44582,x44581)),x44581),f10(x44583,x44581,x44582)),x44584)),x44585),x44586),x44587),f328(f144(x44581,x44583,x44584,x44586),f328(f328(f156(x44582,x44583),x44585),x44587)))
% 27.83/28.20 [4519]E(f328(f328(f43(x45191,f918(x45192,a905)),x45193),f328(f328(f10(f918(x45194,f918(x45192,a905)),f918(x45192,a905),x45191),f328(f43(x45194,f918(x45192,a905)),x45195)),f328(f328(f9(x45191,f918(x45194,f918(x45192,a905)),f918(x45194,f918(x45192,a905))),f328(f328(f10(f918(f918(x45192,a905),f918(x45192,a905)),f918(f918(x45194,f918(x45192,a905)),f918(x45194,f918(x45192,a905))),x45191),f10(f918(x45192,a905),f918(x45192,a905),x45194)),f328(f328(f10(f918(x45192,a905),f918(f918(x45192,a905),f918(x45192,a905)),x45191),f105(f918(x45192,a905))),x45196))),x45197))),f328(f328(f105(f918(x45192,a905)),f328(f328(f43(x45191,f918(x45192,a905)),x45193),x45196)),f328(f328(f43(x45194,f918(x45192,a905)),x45195),x45197)))
% 27.83/28.20 [4520]E(f328(f328(f42(x45201,f918(x45202,a905)),x45203),f328(f328(f10(f918(x45204,f918(x45202,a905)),f918(x45202,a905),x45201),f328(f42(x45204,f918(x45202,a905)),x45205)),f328(f328(f9(x45201,f918(x45204,f918(x45202,a905)),f918(x45204,f918(x45202,a905))),f328(f328(f10(f918(f918(x45202,a905),f918(x45202,a905)),f918(f918(x45204,f918(x45202,a905)),f918(x45204,f918(x45202,a905))),x45201),f10(f918(x45202,a905),f918(x45202,a905),x45204)),f328(f328(f10(f918(x45202,a905),f918(f918(x45202,a905),f918(x45202,a905)),x45201),f106(f918(x45202,a905))),x45206))),x45207))),f328(f328(f106(f918(x45202,a905)),f328(f328(f42(x45201,f918(x45202,a905)),x45203),x45206)),f328(f328(f42(x45204,f918(x45202,a905)),x45205),x45207)))
% 27.83/28.20 [4512]E(f201(x45121,x45122,f328(f328(f328(x45123,x45124),x45125),x45126),f328(f328(f9(x45121,f917(a103,a103),f918(a103,f913(x45122))),f328(f328(f9(x45121,a103,f918(f917(a103,a103),f918(a103,f913(x45122)))),f328(f328(f9(x45121,a103,f918(a103,f918(f917(a103,a103),f918(a103,f913(x45122))))),x45127),x45124)),x45125)),x45126)),f328(f328(f328(f213(x45121,x45122,x45123,x45127),x45124),x45125),x45126))
% 27.83/28.20 [4526]E(f202(x45261,x45262,f328(f328(f328(x45263,x45264),x45265),x45266),f328(f328(f9(x45261,f917(a103,a103),f918(a103,f913(x45262))),f328(f328(f9(x45261,a103,f918(f917(a103,a103),f918(a103,f913(x45262)))),f328(f328(f9(x45261,a103,f918(a103,f918(f917(a103,a103),f918(a103,f913(x45262))))),x45267),x45264)),x45265)),x45266)),f215(x45261,x45262,x45263,x45267,x45264,x45265,x45266))
% 27.83/28.20 [4517]E(f199(x45171,x45172,f328(f328(f328(x45173,x45174),x45175),x45176),f328(f328(f9(x45171,f917(a103,a103),f918(a103,f913(f915(x45172)))),f328(f328(f9(x45171,a103,f918(f917(a103,a103),f918(a103,f913(f915(x45172))))),f328(f328(f9(x45171,a103,f918(a103,f918(f917(a103,a103),f918(a103,f913(f915(x45172)))))),x45177),x45174)),x45175)),x45176)),f328(f328(f328(f209(x45171,x45172,x45173,x45177),x45174),x45175),x45176))
% 27.83/28.20 [4528]E(f200(x45281,x45282,f328(f328(f328(x45283,x45284),x45285),x45286),f328(f328(f9(x45281,f917(a103,a103),f918(a103,f913(f915(x45282)))),f328(f328(f9(x45281,a103,f918(f917(a103,a103),f918(a103,f913(f915(x45282))))),f328(f328(f9(x45281,a103,f918(a103,f918(f917(a103,a103),f918(a103,f913(f915(x45282)))))),x45287),x45284)),x45285)),x45286)),f211(x45281,x45282,x45283,x45287,x45284,x45285,x45286))
% 27.83/28.20 [4427]E(f328(f262(x44271,x44272,x44273,x44274,x44275,x44276),f328(f328(f256(x44271,x44273),x44277),x44278)),f328(f328(f256(x44272,x44274),f328(x44275,x44277)),f328(x44276,x44278)))
% 27.83/28.20 [4530]E(f328(f328(f156(f917(x45301,x45302),f917(x45303,x45304)),f328(f261(x45301,x45302,f917(x45303,x45304)),f328(f328(f9(x45301,f918(x45302,x45304),f918(x45302,f917(x45303,x45304))),f328(f328(f10(f918(x45304,f917(x45303,x45304)),f918(f918(x45302,x45304),f918(x45302,f917(x45303,x45304))),x45301),f10(x45304,f917(x45303,x45304),x45302)),f328(f328(f10(x45303,f918(x45304,f917(x45303,x45304)),x45301),f256(x45303,x45304)),x45305))),x45306))),f328(f328(f183(x45301,x45302),x45307),x45308)),f328(f328(f183(x45303,x45304),f328(f328(f156(x45301,x45303),x45305),x45307)),f328(f328(f156(x45302,x45304),x45306),x45308)))
% 27.83/28.20 [4533]E(f328(f328(f156(f917(x45331,x45332),x45333),f328(f261(x45331,x45332,x45333),f328(f328(f10(f918(x45332,f917(x45331,x45334)),f918(x45332,x45333),x45331),f328(f10(f917(x45331,x45334),x45333,x45332),x45335)),f328(f328(f9(x45331,f918(x45332,x45334),f918(x45332,f917(x45331,x45334))),f328(f328(f10(f918(x45334,f917(x45331,x45334)),f918(f918(x45332,x45334),f918(x45332,f917(x45331,x45334))),x45331),f10(x45334,f917(x45331,x45334),x45332)),f256(x45331,x45334))),x45336)))),f328(f328(f183(x45331,x45332),x45337),x45338)),f328(f328(f156(f917(x45331,x45334),x45333),x45335),f328(f328(f183(x45331,x45334),x45337),f328(f328(f156(x45332,x45334),x45336),x45338))))
% 27.83/28.20 [4461]E(f328(f328(f156(f917(x44611,x44612),x44613),f328(f261(x44611,x44612,x44613),f328(f328(f10(f918(x44612,f917(x44614,x44612)),f918(x44612,x44613),x44611),f328(f10(f917(x44614,x44612),x44613,x44612),x44615)),f328(f328(f10(x44614,f918(x44612,f917(x44614,x44612)),x44611),f256(x44614,x44612)),x44616)))),f328(f328(f183(x44611,x44612),x44617),x44618)),f328(f328(f156(f917(x44614,x44612),x44613),x44615),f328(f328(f183(x44614,x44612),f328(f328(f156(x44611,x44614),x44616),x44617)),x44618)))
% 27.83/28.20 [4418]E(f328(f328(f261(x44181,x44182,x44183),f328(f328(f10(f918(x44182,f917(x44184,x44185)),f918(x44182,x44183),x44181),f328(f10(f917(x44184,x44185),x44183,x44182),f328(f261(x44184,x44185,x44183),x44186))),x44187)),x44188),f328(f328(f261(x44184,x44185,x44183),x44186),f328(f328(f261(x44181,x44182,f917(x44184,x44185)),x44187),x44188)))
% 27.83/28.20 [4534]E(f328(f328(f42(f917(x45341,x45342),f918(f917(x45343,x45344),a905)),f328(f328(f258(x45341,x45342),x45345),f328(f18(f918(x45342,a905),x45341),x45346))),f328(f261(x45341,x45342,f918(f917(x45343,x45344),a905)),f328(f328(f9(x45341,f918(x45342,f918(x45343,f918(x45344,a905))),f918(x45342,f918(f917(x45343,x45344),a905))),f328(f328(f10(f918(f918(x45343,f918(x45344,a905)),f918(f917(x45343,x45344),a905)),f918(f918(x45342,f918(x45343,f918(x45344,a905))),f918(x45342,f918(f917(x45343,x45344),a905))),x45341),f10(f918(x45343,f918(x45344,a905)),f918(f917(x45343,x45344),a905),x45342)),f328(f328(f10(f918(x45343,a905),f918(f918(x45343,f918(x45344,a905)),f918(f917(x45343,x45344),a905)),x45341),f258(x45343,x45344)),x45347))),f328(f328(f10(f918(x45344,a905),f918(x45343,f918(x45344,a905)),x45342),f18(f918(x45344,a905),x45343)),x45348)))),f328(f328(f258(x45343,x45344),f328(f328(f42(x45341,f918(x45343,a905)),x45345),x45347)),f328(f18(f918(x45344,a905),x45343),f328(f328(f42(x45342,f918(x45344,a905)),x45346),x45348))))
% 27.83/28.20 [4475]E(f328(f328(f263(x44751,x44752,x44753,x44754),f328(f328(f263(x44751,x44755,x44756,f917(x44752,x44753)),x44757),x44758)),x44759),f328(f328(f263(x44751,x44755,x44756,x44754),x44757),f328(f328(f9(x44755,f918(x44752,f918(x44753,x44754)),f918(x44756,x44754)),f328(f328(f10(f918(x44756,f917(x44752,x44753)),f918(f918(x44752,f918(x44753,x44754)),f918(x44756,x44754)),x44755),f263(x44756,x44752,x44753,x44754)),x44758)),x44759)))
% 27.83/28.20 [4503]E(f328(f76(f917(x45031,x45032),f917(x45033,x45034),f917(x45035,x45036),f262(x45031,x45033,x45032,x45034,x45037,x45038)),f262(x45035,x45031,x45036,x45032,x45039,x450310)),f262(x45035,x45033,x45036,x45034,f328(f76(x45031,x45033,x45035,x45037),x45039),f328(f76(x45032,x45034,x45036,x45038),x450310)))
% 27.83/28.20 [4504]E(f328(f76(f917(x45041,x45042),f917(x45043,x45044),f917(x45045,x45046),f262(x45041,x45043,x45042,x45044,x45047,x45048)),f262(x45045,x45041,x45046,x45042,x45049,x450410)),f262(x45045,x45043,x45046,x45044,f328(f76(x45041,x45043,x45045,x45047),x45049),f328(f76(x45042,x45044,x45046,x45048),x450410)))
% 27.83/28.20 [4510]E(f328(f262(x45101,x45102,x45103,x45104,x45105,x45106),f328(f262(x45107,x45101,x45108,x45103,x45109,x451010),x451011)),f328(f262(x45107,x45102,x45108,x45104,f328(f76(x45101,x45102,x45107,x45105),x45109),f328(f76(x45103,x45104,x45108,x45106),x451010)),x451011))
% 27.83/28.20 [4696]~P67(x46961)+P67(f915(x46961))
% 27.83/28.20 [4697]~P68(x46971)+P68(f915(x46971))
% 27.83/28.20 [4698]~P105(x46981)+P105(f912(x46981))
% 27.83/28.20 [4700]~P146(x47001)+~E(f81(x47001),f2(x47001))
% 27.83/28.20 [4701]~P146(x47011)+~E(f81(x47011),f2(x47011))
% 27.83/28.20 [4703]~E(x47031,f2(a103))+E(f328(a24,x47031),f2(a1))
% 27.83/28.20 [4704]~E(x47041,f2(a1))+E(f85(a1,x47041),f2(a1))
% 27.83/28.20 [4712]~P108(x47121)+P35(x47121,f2(x47121))
% 27.83/28.20 [4713]~P109(x47131)+P18(x47131,f117(x47131))
% 27.83/28.20 [4714]~P109(x47141)+P18(x47141,f117(x47141))
% 27.83/28.20 [4723]P107(x47231)+P107(f328(a323,x47231))
% 27.83/28.20 [4777]~P108(x47771)+~P35(x47771,f81(x47771))
% 27.83/28.20 [4821]~P107(x48211)+~P107(f328(a323,x48211))
% 27.83/28.20 [4842]E(f328(a109,x48421),f2(a911))+~P107(f328(a195,x48421))
% 27.83/28.20 [4908]~P97(x49081)+P19(x49081,x49081,f84(x49081))
% 27.83/28.20 [4909]~P109(x49091)+P19(x49091,x49091,f243(x49091))
% 27.83/28.20 [4910]~P109(x49101)+P19(x49101,x49101,f238(x49101))
% 27.83/28.20 [4911]~P100(x49111)+P19(x49111,x49111,f105(x49111))
% 27.83/28.20 [4912]~P104(x49121)+P19(x49121,x49121,f106(x49121))
% 27.83/28.20 [4913]~P73(x49131)+P21(x49131,x49131,f84(x49131))
% 27.83/28.20 [4707]E(x47071,f2(a911))+E(f328(a116,f346(x47071)),x47071)
% 27.83/28.20 [4708]E(x47081,f2(a911))+E(f328(a116,f443(x47081)),x47081)
% 27.83/28.20 [4709]~E(x47091,f2(a911))+E(f328(f104(a1),x47091),f2(a1))
% 27.83/28.20 [4715]~P94(x47151)+E(f328(f108(x47151),a86),f2(x47151))
% 27.83/28.20 [4716]~P94(x47161)+E(f328(f108(x47161),a86),f2(x47161))
% 27.83/28.20 [4719]~E(f526(x47191),f2(a911))+E(f328(f167(a911),x47191),f2(a911))
% 27.83/28.20 [4720]~P112(x47201)+E(f241(x47201,f239(x47201)),f243(x47201))
% 27.83/28.20 [4721]~P112(x47211)+E(f242(x47211,f239(x47211)),f238(x47211))
% 27.83/28.20 [4722]~P89(x47221)+E(f85(x47221,f2(x47221)),f2(x47221))
% 27.83/28.20 [4731]~P108(x47311)+E(f328(f104(x47311),f2(a911)),f2(x47311))
% 27.83/28.20 [4732]~P108(x47321)+E(f328(f104(x47321),f81(a911)),f81(x47321))
% 27.83/28.20 [4733]~P140(x47331)+E(f328(f107(x47331),f2(a1)),f2(x47331))
% 27.83/28.20 [4734]~P140(x47341)+E(f328(f107(x47341),f81(a1)),f81(x47341))
% 27.83/28.20 [4735]E(x47351,f2(a911))+~E(f328(f104(a1),x47351),f2(a1))
% 27.83/28.20 [4771]~P96(x47711)+E(f328(f82(x47711),f190(x47711)),f246(x47711))
% 27.83/28.20 [4772]~P77(x47721)+E(f328(f82(x47721),f2(x47721)),f2(x47721))
% 27.83/28.20 [4773]~P96(x47731)+E(f328(f82(x47731),f246(x47731)),f190(x47731))
% 27.83/28.20 [4774]~P86(x47741)+E(f328(f79(x47741),f2(x47741)),f2(x47741))
% 27.83/28.20 [4775]~P113(x47751)+E(f328(f79(x47751),f81(x47751)),f81(x47751))
% 27.83/28.20 [4776]~P79(x47761)+E(f328(f167(x47761),f117(x47761)),f2(x47761))
% 27.83/28.20 [4795]~P42(x47951)+P46(f328(f174(a1),x47951))
% 27.83/28.20 [4825]~P94(x48251)+E(f328(f82(x48251),f81(x48251)),f328(f108(x48251),a101))
% 27.83/28.20 [4826]~P94(x48261)+E(f328(f82(x48261),f81(x48261)),f328(f108(x48261),a101))
% 27.83/28.20 [4841]~P94(x48411)+P35(x48411,f328(f108(x48411),a86))
% 27.83/28.20 [4867]P42(x48671)+~P46(f328(f174(a1),x48671))
% 27.83/28.20 [4914]E(f328(f104(a1),f328(a109,x49141)),x49141)+P107(f328(a195,x49141))
% 27.83/28.20 [4984]~P117(x49841)+E(f249(x49841,f81(x49841),f84(x49841)),f248(x49841))
% 27.83/28.20 [5017]~P94(x50171)+~P35(x50171,f328(f108(x50171),a101))
% 27.83/28.20 [5108]~E(x51081,f2(a911))+P107(f328(f328(f239(a911),x51081),f2(a911)))
% 27.83/28.20 [5164]E(f328(f79(a1),x51641),x51641)+P107(f328(f328(f240(a1),x51641),f2(a1)))
% 27.83/28.20 [5182]~E(f328(a109,x51821),f2(a911))+P107(f328(f328(f239(a1),x51821),f2(a1)))
% 27.83/28.20 [5246]~P107(f328(a195,x52461))+P107(f328(f328(f240(a1),x52461),f2(a1)))
% 27.83/28.20 [5286]~P125(x52861)+P107(f328(f328(f240(x52861),f2(x52861)),f81(x52861)))
% 27.83/28.20 [5287]~P125(x52871)+P107(f328(f328(f239(x52871),f2(x52871)),f81(x52871)))
% 27.83/28.20 [5288]~P140(x52881)+P107(f328(f328(f330(x52881),f2(x52881)),f114(x52881)))
% 27.83/28.20 [5289]~P108(x52891)+P107(f328(f328(f330(x52891),f2(x52891)),f188(x52891)))
% 27.83/28.20 [5290]~P140(x52901)+P107(f328(f328(f330(x52901),f81(x52901)),f114(x52901)))
% 27.83/28.20 [5291]~P108(x52911)+P107(f328(f328(f330(x52911),f81(x52911)),f188(x52911)))
% 27.83/28.20 [5344]E(x53441,f2(a911))+~P107(f328(f328(f239(a911),x53441),f2(a911)))
% 27.83/28.20 [5386]E(f328(a109,x53861),f2(a911))+~P107(f328(f328(f239(a1),x53861),f2(a1)))
% 27.83/28.20 [5387]E(f328(a109,x53871),f2(a911))+~P107(f328(f328(f239(a1),x53871),f2(a1)))
% 27.83/28.20 [5452]P107(f328(a195,x54521))+~P107(f328(f328(f240(a1),x54521),f2(a1)))
% 27.83/28.20 [5459]~P109(x54591)+P21(x54591,f912(x54591),f150(x54591,x54591,f7(x54591)))
% 27.83/28.20 [5478]P46(x54781)+~P107(f328(f328(f239(a1),f2(a1)),f347(x54781)))
% 27.83/28.20 [5483]E(f328(f79(a1),x54831),f328(f82(a1),x54831))+~P107(f328(f328(f240(a1),x54831),f2(a1)))
% 27.83/28.20 [5653]~P125(x56531)+~P107(f328(f328(f240(x56531),f81(x56531)),f2(x56531)))
% 27.83/28.20 [5654]~P125(x56541)+~P107(f328(f328(f239(x56541),f81(x56541)),f2(x56541)))
% 27.83/28.20 [5668]~E(x56681,f2(a1))+P107(f328(f328(f240(a1),f328(f79(a1),x56681)),f81(a1)))
% 27.83/28.20 [5669]~E(x56691,f2(a911))+P107(f328(f328(f239(a1),f328(f104(a1),x56691)),f2(a1)))
% 27.83/28.20 [5791]~P79(x57911)+E(f144(x57911,x57911,f83(x57911),f2(x57911)),f167(x57911))
% 27.83/28.20 [5966]~P92(x59661)+P30(a911,x59661,f104(x59661),f246(f918(a911,a905)))
% 27.83/28.20 [6166]E(x61661,f2(a911))+~P107(f328(f328(f239(a1),f328(f104(a1),x61661)),f2(a1)))
% 27.83/28.20 [6167]E(x61671,f2(a1))+~P107(f328(f328(f240(a1),f328(f79(a1),x61671)),f81(a1)))
% 27.83/28.20 [6961]~P107(f328(f328(f240(a1),x69611),f2(a1)))+P107(f328(f328(f240(a1),f328(f328(f83(a1),x69611),x69611)),f2(a1)))
% 27.83/28.20 [7516]P107(f328(f328(f240(a1),x75161),f2(a1)))+~P107(f328(f328(f240(a1),f328(f328(f83(a1),x75161),x75161)),f2(a1)))
% 27.83/28.20 [8074]E(x80741,f328(a5,f2(a911)))+P107(f328(f328(f240(a911),f328(f328(f3(a911),f328(a22,x80741)),f328(a116,f2(a911)))),f328(a22,x80741)))
% 27.83/28.20 [8850]~P107(f328(f328(f240(a1),x88501),f2(a1)))+P107(f328(f328(f240(a1),f328(f328(f3(a1),f328(f328(f83(a1),x88501),x88501)),a101)),f2(a1)))
% 27.83/28.20 [8940]~P107(f328(f328(f240(a1),x89401),f2(a1)))+P107(f328(f328(f240(a1),f328(f328(f83(a1),f328(f328(f83(a1),f81(a1)),x89401)),x89401)),f2(a1)))
% 27.83/28.20 [9258]P107(f328(f328(f240(a1),x92581),f2(a1)))+~P107(f328(f328(f240(a1),f328(f328(f3(a1),f328(f328(f83(a1),x92581),x92581)),a101)),f2(a1)))
% 27.83/28.20 [9327]P107(f328(f328(f240(a1),x93271),f2(a1)))+~P107(f328(f328(f240(a1),f328(f328(f83(a1),f328(f328(f83(a1),f81(a1)),x93271)),x93271)),f2(a1)))
% 27.83/28.20 [4815]~E(a86,x48151)+E(f328(f328(f83(a1),x48151),x48151),a86)
% 27.83/28.20 [4816]~E(x48161,a86)+E(f328(f328(f83(a1),x48161),x48161),a86)
% 27.83/28.20 [4827]E(x48271,f2(a1))+E(f328(f328(f39(a1),x48271),x48271),f81(a1))
% 27.83/28.20 [4961]E(x49611,a86)+~E(f328(f328(f83(a1),x49611),x49611),a86)
% 27.83/28.20 [4962]E(a86,x49621)+~E(f328(f328(f83(a1),x49621),x49621),a86)
% 27.83/28.20 [4964]~P94(x49641)+E(f328(f107(x49641),f328(f108(a1),a101)),f328(f108(x49641),a101))
% 27.83/28.20 [4974]~P109(x49741)+E(f141(x49741,f190(f918(x49741,a905))),f117(x49741))
% 27.83/28.20 [4975]~P10(x49751)+E(f40(x49751,f190(f918(x49751,a905))),f190(x49751))
% 27.83/28.20 [4976]~P10(x49761)+E(f40(x49761,f246(f918(x49761,a905))),f246(x49761))
% 27.83/28.20 [4977]~P10(x49771)+E(f41(x49771,f190(f918(x49771,a905))),f246(x49771))
% 27.83/28.20 [4978]~P10(x49781)+E(f41(x49781,f246(f918(x49781,a905))),f190(x49781))
% 27.83/28.20 [5119]E(x51191,f2(a911))+P107(f328(f328(f240(a911),f2(a911)),x51191))
% 27.83/28.20 [5120]E(x51201,f2(a911))+P107(f328(f328(f240(a911),f2(a911)),x51201))
% 27.83/28.20 [5139]~P11(x51391)+P107(f328(f328(f239(a1),f2(a1)),x51391))
% 27.83/28.20 [5172]~E(f328(f108(a911),x51721),f2(a911))+P107(f328(f328(f239(a1),x51721),a86))
% 27.83/28.20 [5173]~E(f328(f108(a911),x51731),f2(a911))+P107(f328(f328(f239(a1),x51731),a86))
% 27.83/28.20 [5178]P46(x51781)+P107(f328(f328(f330(a1),f347(x51781)),x51781))
% 27.83/28.20 [5179]E(x51791,f328(a5,f2(a911)))+P107(f328(f328(f239(a103),f81(a103)),x51791))
% 27.83/28.20 [5219]P107(f328(a195,x52191))+P107(f328(f328(f239(a1),f2(a1)),x52191))
% 27.83/28.20 [5268]E(f328(f104(a1),f328(a109,x52681)),f2(a1))+P107(f328(f328(f239(a1),f2(a1)),x52681))
% 27.83/28.20 [5312]~P67(x53121)+P107(f328(f64(x53121),f246(f918(x53121,a905))))
% 27.83/28.20 [5326]E(f328(f104(a1),f328(f108(a911),x53261)),f328(f108(a1),x53261))+P107(f328(a195,f328(f108(a1),x53261)))
% 27.83/28.20 [5329]~E(x53291,f2(a911))+P107(f328(f328(f240(a911),x53291),f328(a116,f2(a911))))
% 27.83/28.20 [5349]E(f328(f108(a911),x53491),f2(a911))+~P107(f328(f328(f239(a1),x53491),a86))
% 27.83/28.20 [5350]E(f328(f108(a911),x53501),f2(a911))+~P107(f328(a195,f328(f108(a1),x53501)))
% 27.83/28.20 [5351]E(f328(f108(a911),x53511),f2(a911))+~P107(f328(f328(f239(a1),x53511),a86))
% 27.83/28.20 [5384]P11(x53841)+~P107(f328(f328(f239(a1),f2(a1)),x53841))
% 27.83/28.20 [5406]~E(x54061,f2(a911))+~P107(f328(f328(f240(a911),f2(a911)),x54061))
% 27.83/28.20 [5462]E(f328(a116,f504(x54621)),x54621)+~P107(f328(f328(f240(a911),f2(a911)),x54621))
% 27.83/28.20 [5463]E(f328(a116,f544(x54631)),x54631)+~P107(f328(f328(f240(a911),f2(a911)),x54631))
% 27.83/28.20 [5472]E(f328(a116,f328(f108(a911),x54721)),f81(a911))+~P107(f328(a195,f328(f108(a1),x54721)))
% 27.83/28.20 [5479]E(f328(f104(a1),f609(x54791)),x54791)+~P107(f328(f328(f240(a1),f2(a1)),x54791))
% 27.83/28.20 [5486]~E(x54861,f328(a5,f2(a911)))+~P107(f328(f328(f239(a103),f81(a103)),x54861))
% 27.83/28.20 [5493]E(f328(f104(a1),f328(f108(a911),x54931)),f2(a1))+~P107(f328(a195,f328(f108(a1),x54931)))
% 27.83/28.20 [5518]E(f328(f167(a911),x55181),f2(a911))+P107(f328(f328(f330(a911),f526(x55181)),f328(f174(a911),x55181)))
% 27.83/28.20 [5537]E(f328(f104(a1),f328(a109,x55371)),x55371)+~P107(f328(f328(f239(a1),f2(a1)),x55371))
% 27.83/28.20 [5538]E(f328(f104(a1),f328(a109,x55381)),x55381)+~P107(f328(f328(f239(a1),f2(a1)),x55381))
% 27.83/28.20 [5546]~P107(f328(a195,x55461))+~P107(f328(f328(f239(a1),f2(a1)),x55461))
% 27.83/28.20 [5646]E(f328(f328(f83(a911),f81(a911)),f328(f108(a911),x56461)),f81(a911))+~P107(f328(f328(f240(a1),x56461),a86))
% 27.83/28.20 [5710]E(x57101,f2(a911))+~P107(f328(f328(f240(a911),x57101),f328(a116,f2(a911))))
% 27.83/28.20 [5749]E(f328(f328(f83(a911),f328(f108(a911),x57491)),f81(a911)),f81(a911))+~P107(f328(f328(f240(a1),x57491),a86))
% 27.83/28.20 [5750]E(f328(f328(f3(a911),f328(f108(a911),x57501)),f81(a911)),f2(a911))+~P107(f328(f328(f239(a1),x57501),a86))
% 27.83/28.20 [5762]~P46(x57621)+E(f328(f38(a911),f328(f311(a1,a911,a109),x57621)),f328(f38(a1),x57621))
% 27.83/28.20 [5792]~P109(x57921)+E(f241(x57921,f328(f9(x57921,x57921,a905),f239(x57921))),f238(x57921))
% 27.83/28.20 [5793]~P109(x57931)+E(f242(x57931,f328(f9(x57931,x57931,a905),f239(x57931))),f243(x57931))
% 27.83/28.20 [5803]E(f48(a911,f328(a116,f2(a911)),f328(f108(a911),x58031)),f328(a116,f2(a911)))+~P107(f328(a195,f328(f108(a1),x58031)))
% 27.83/28.20 [5812]P107(f328(f328(f240(a1),f2(a1)),x58121))+~P107(f328(f328(f239(a1),f81(a1)),x58121))
% 27.83/28.20 [5813]~P107(f328(f328(f240(a1),f2(a1)),x58131))+P107(f328(f328(f239(a1),f81(a1)),x58131))
% 27.83/28.20 [5823]E(f328(a116,f328(f328(f3(a911),x58231),f81(a911))),x58231)+~P107(f328(f328(f240(a911),f2(a911)),x58231))
% 27.83/28.20 [5824]E(f328(a116,f328(f328(f3(a911),x58241),f81(a911))),x58241)+~P107(f328(f328(f240(a911),f2(a911)),x58241))
% 27.83/28.20 [5880]P107(f328(f328(f240(a911),f2(a911)),f609(x58801)))+~P107(f328(f328(f240(a1),f2(a1)),x58801))
% 27.83/28.20 [5939]E(f48(a1,f328(f108(a1),a101),x59391),f328(f328(f3(a1),x59391),f81(a1)))+~P107(f328(f328(f240(a1),f2(a1)),x59391))
% 27.83/28.20 [5980]~P107(f328(f328(f240(a1),a86),x59801))+P107(f328(f328(f240(a911),f2(a911)),f328(f108(a911),x59801)))
% 27.83/28.20 [5985]E(f328(a22,f836(x59851)),x59851)+~P107(f328(f328(f330(a911),x59851),f246(f918(a911,a905))))
% 27.83/28.20 [6033]P107(f328(f328(f240(a911),f2(a911)),f328(a109,x60331)))+~P107(f328(f328(f240(a1),f2(a1)),x60331))
% 27.83/28.20 [6052]E(f328(a22,f328(a5,x60521)),x60521)+~P107(f328(f328(f330(a911),x60521),f246(f918(a911,a905))))
% 27.83/28.20 [6082]~P107(f328(f328(f240(a911),f2(a911)),x60821))+P107(f328(f328(f240(a1),f2(a1)),f328(f104(a1),x60821)))
% 27.83/28.20 [6119]~P107(f328(f328(f240(a911),f2(a911)),f328(a109,x61191)))+P107(f328(f328(f240(a1),f2(a1)),x61191))
% 27.83/28.20 [6134]~P46(x61341)+E(f328(f311(a911,a1,f104(a1)),f328(f311(a1,a911,a109),x61341)),x61341)
% 27.83/28.20 [6147]P107(f328(f328(f240(a1),a86),x61471))+~P107(f328(f328(f240(a911),f2(a911)),f328(f108(a911),x61471)))
% 27.83/28.20 [6206]P107(f328(f328(f240(a911),f2(a911)),x62061))+~P107(f328(f328(f240(a1),f2(a1)),f328(f104(a1),x62061)))
% 27.83/28.20 [6241]E(f181(x62411,f117(f912(x62411))),f117(f912(x62411)))+~P107(f328(f316(f912(f912(x62411)),f182(x62411)),f117(f912(x62411))))
% 27.83/28.20 [6319]E(f328(f311(a911,a1,f104(a1)),f328(f284(a911),f328(a109,x63191))),f328(f303(a1,f2(a1)),x63191))+~P107(f328(f328(f239(a1),f2(a1)),x63191))
% 27.83/28.20 [6335]~P125(x63351)+P107(f328(f328(f240(x63351),f2(x63351)),f328(f328(f83(x63351),f81(x63351)),f81(x63351))))
% 27.83/28.20 [6384]P107(f328(f328(f240(a911),f328(a116,f2(a911))),f328(a109,x63841)))+~P107(f328(f328(f240(a1),f81(a1)),x63841))
% 27.83/28.20 [6480]E(x64801,f2(a1))+P107(f328(f52(f2(a1),x64801),f328(f328(f256(a1,a1),f2(a1)),f2(a1))))
% 27.83/28.20 [6649]~P107(f328(f328(f240(a911),f328(a116,f2(a911))),f328(a109,x66491)))+P107(f328(f328(f240(a1),f81(a1)),x66491))
% 27.83/28.20 [6698]E(f328(a116,f328(f328(f3(a911),f328(f108(a911),x66981)),f81(a911))),f328(f108(a911),x66981))+~P107(f328(f328(f240(a911),f2(a911)),f328(f108(a911),x66981)))
% 27.83/28.20 [7072]~P119(x70721)+P43(x70721,f328(f266(f917(x70721,x70721)),f328(f261(x70721,x70721,a905),f240(x70721))))
% 27.83/28.20 [5697]E(f328(f108(a911),f328(f328(f3(a1),x56971),a101)),f328(a116,f328(f108(a911),x56971)))+P107(f328(a195,f328(f108(a1),x56971)))
% 27.83/28.20 [5713]~P42(x57131)+E(f328(f328(f156(a911,a1),f104(a1)),f328(f328(f156(a1,a911),a109),x57131)),x57131)
% 27.83/28.20 [5830]E(f328(f82(a1),f328(f104(a1),f328(a116,f655(x58301)))),x58301)+~P107(f328(f328(f240(a1),x58301),f2(a1)))
% 27.83/28.20 [5840]E(f328(f328(f83(a911),f81(a911)),f328(f108(a911),x58401)),f328(f108(a911),f328(f328(f3(a1),x58401),a101)))+P107(f328(f328(f240(a1),x58401),a86))
% 27.83/28.20 [5882]E(f328(f328(f39(a1),f328(f108(a1),a101)),x58821),f328(f108(a1),a101))+~P107(f328(f328(f240(a1),f2(a1)),x58821))
% 27.83/28.20 [5976]E(f328(f328(f83(a911),f328(f108(a911),x59761)),f81(a911)),f328(f108(a911),f328(f328(f3(a1),x59761),a101)))+P107(f328(f328(f240(a1),x59761),a86))
% 27.83/28.20 [5977]E(f328(f328(f3(a911),f328(f108(a911),x59771)),f81(a911)),f328(f108(a911),f328(f328(f83(a1),x59771),a101)))+P107(f328(f328(f239(a1),x59771),a86))
% 27.83/28.20 [6020]E(f328(a109,f328(f328(f83(a1),f81(a1)),x60201)),f328(a116,f328(a109,x60201)))+~P107(f328(f328(f239(a1),f2(a1)),x60201))
% 27.83/28.20 [6054]E(f328(a116,f328(f328(f3(a911),x60541),f328(a116,f2(a911)))),x60541)+~P107(f328(f328(f240(a911),f2(a911)),x60541))
% 27.83/28.20 [6271]E(f48(a911,f328(a116,f2(a911)),f328(f108(a911),x62711)),f328(a109,f48(a1,f81(a1),f328(f108(a1),x62711))))+P107(f328(a195,f328(f108(a1),x62711)))
% 27.83/28.20 [6312]~P107(f328(f328(f240(a1),a101),x63121))+P107(f328(f328(f240(a1),a101),f328(f328(f83(a1),x63121),x63121)))
% 27.83/28.20 [6313]~P107(f328(f328(f240(a1),a86),x63131))+P107(f328(f328(f240(a1),a86),f328(f328(f83(a1),x63131),x63131)))
% 27.83/28.20 [6314]~P107(f328(f328(f240(a1),a101),x63141))+P107(f328(f328(f239(a1),a101),f328(f328(f83(a1),x63141),x63141)))
% 27.83/28.20 [6315]~P107(f328(f328(f239(a1),a86),x63151))+P107(f328(f328(f239(a1),a86),f328(f328(f83(a1),x63151),x63151)))
% 27.83/28.20 [6493]~P107(f328(f64(x64931),f246(f918(x64931,a905))))+P107(f328(f64(f915(x64931)),f246(f918(f915(x64931),a905))))
% 27.83/28.20 [6580]~P107(f328(f328(f239(a1),f2(a1)),x65801))+P107(f328(f328(f240(a1),f2(a1)),f328(f328(f83(a1),f81(a1)),x65801)))
% 27.83/28.20 [6587]E(f328(f255(a1,a1),f50(f81(a1),f328(f108(a1),x65871))),f328(f328(f39(a1),f81(a1)),f328(f108(a1),x65871)))+~P107(f328(f328(f239(a1),f2(a1)),f328(f108(a1),x65871)))
% 27.83/28.20 [6607]E(f328(f260(a1,a1),f50(f81(a1),f328(f108(a1),x66071))),f48(a1,f81(a1),f328(f108(a1),x66071)))+~P107(f328(f328(f239(a1),f2(a1)),f328(f108(a1),x66071)))
% 27.83/28.20 [6618]P107(f328(f64(x66181),f246(f918(x66181,a905))))+~P107(f328(f64(f915(x66181)),f246(f918(f915(x66181),a905))))
% 27.83/28.20 [6650]P107(f328(f328(f240(a1),a101),x66501))+~P107(f328(f328(f240(a1),a101),f328(f328(f83(a1),x66501),x66501)))
% 27.83/28.20 [6651]P107(f328(f328(f240(a1),a101),x66511))+~P107(f328(f328(f239(a1),a101),f328(f328(f83(a1),x66511),x66511)))
% 27.83/28.20 [6652]P107(f328(f328(f240(a1),a86),x66521))+~P107(f328(f328(f240(a1),a86),f328(f328(f83(a1),x66521),x66521)))
% 27.83/28.20 [6653]P107(f328(f328(f239(a1),a86),x66531))+~P107(f328(f328(f239(a1),a86),f328(f328(f83(a1),x66531),x66531)))
% 27.83/28.20 [6841]~P107(f328(f64(a911),x68411))+P107(f328(f64(a1),f328(f311(a911,a1,f104(a1)),x68411)))
% 27.83/28.20 [6965]~P107(f328(f64(x69651),f246(f918(x69651,a905))))+P107(f328(f328(f240(a911),f2(a911)),f328(f38(x69651),f246(f918(x69651,a905)))))
% 27.83/28.20 [7558]P107(f328(f64(a911),x75581))+~P107(f328(f64(a1),f328(f311(a911,a1,f104(a1)),x75581)))
% 27.83/28.20 [5621]~E(a101,x56211)+E(f328(f328(f3(a1),f328(f328(f83(a1),x56211),x56211)),a101),a101)
% 27.83/28.20 [5622]~E(x56221,a101)+E(f328(f328(f3(a1),f328(f328(f83(a1),x56221),x56221)),a101),a101)
% 27.83/28.20 [6142]E(x61421,a101)+~E(f328(f328(f3(a1),f328(f328(f83(a1),x61421),x61421)),a101),a101)
% 27.83/28.20 [6143]E(a101,x61431)+~E(f328(f328(f3(a1),f328(f328(f83(a1),x61431),x61431)),a101),a101)
% 27.83/28.20 [6548]~E(f328(f108(a911),x65481),f2(a911))+P107(f328(a195,f328(f108(a1),f328(f328(f83(a1),x65481),a101))))
% 27.83/28.20 [6894]~P107(f328(a195,f328(f108(a1),x68941)))+P107(f328(a195,f328(f108(a1),f328(f328(f83(a1),x68941),x68941))))
% 27.83/28.20 [6895]~P107(f328(f328(f239(a1),x68951),a101))+P107(f328(f328(f240(a1),f328(f328(f83(a1),x68951),x68951)),a101))
% 27.83/28.20 [6896]~P107(f328(f328(f240(a1),x68961),a86))+P107(f328(f328(f240(a1),f328(f328(f83(a1),x68961),x68961)),a86))
% 27.83/28.20 [6897]~P107(f328(f328(f239(a1),x68971),a101))+P107(f328(f328(f239(a1),f328(f328(f83(a1),x68971),x68971)),a101))
% 27.83/28.20 [6898]~P107(f328(f328(f239(a1),x68981),a86))+P107(f328(f328(f239(a1),f328(f328(f83(a1),x68981),x68981)),a86))
% 28.33/28.20 [7215]E(f328(f108(a911),x72151),f2(a911))+~P107(f328(a195,f328(f108(a1),f328(f328(f83(a1),x72151),a101))))
% 28.33/28.20 [7470]~P107(f328(f328(f239(a1),f2(a1)),f328(f108(a1),x74701)))+P107(f328(f328(f239(a1),f2(a1)),f328(f108(a1),f328(f328(f83(a1),x74701),x74701))))
% 28.33/28.20 [7471]P107(f328(a195,f328(f108(a1),x74711)))+~P107(f328(a195,f328(f108(a1),f328(f328(f83(a1),x74711),x74711))))
% 28.33/28.20 [7472]P107(f328(f328(f240(a1),x74721),a86))+~P107(f328(f328(f240(a1),f328(f328(f83(a1),x74721),x74721)),a86))
% 28.33/28.20 [7473]P107(f328(f328(f239(a1),x74731),a101))+~P107(f328(f328(f240(a1),f328(f328(f83(a1),x74731),x74731)),a101))
% 28.33/28.20 [7474]P107(f328(f328(f239(a1),x74741),a101))+~P107(f328(f328(f239(a1),f328(f328(f83(a1),x74741),x74741)),a101))
% 28.33/28.20 [7475]P107(f328(f328(f239(a1),x74751),a86))+~P107(f328(f328(f239(a1),f328(f328(f83(a1),x74751),x74751)),a86))
% 28.33/28.20 [7838]E(f328(a111,f534(x78381)),x78381)+~P107(f328(f328(f330(f918(f917(a911,a911),a905)),x78381),a102))
% 28.33/28.20 [6466]~P94(x64661)+E(f328(f108(x64661),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f81(x64661))
% 28.33/28.20 [6467]~P94(x64671)+E(f328(f108(x64671),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f81(x64671))
% 28.33/28.20 [6945]~P107(f328(a195,f328(f108(a1),x69451)))+E(f328(f108(a911),f328(f328(f3(a1),f328(f328(f83(a1),x69451),x69451)),a101)),f2(a911))
% 28.33/28.20 [8019]~P107(f328(f328(f240(a1),f328(f108(a1),x80191)),f2(a1)))+E(f328(f255(a1,a1),f328(a54,f53(f328(f82(a1),f81(a1)),f328(f82(a1),f328(f108(a1),x80191))))),f328(f328(f39(a1),f81(a1)),f328(f108(a1),x80191)))
% 28.33/28.20 [8032]~P107(f328(f328(f240(a1),f328(f108(a1),x80321)),f2(a1)))+E(f328(f260(a1,a1),f328(a54,f53(f328(f82(a1),f81(a1)),f328(f82(a1),f328(f108(a1),x80321))))),f48(a1,f81(a1),f328(f108(a1),x80321)))
% 28.33/28.20 [8081]~P107(f328(f328(f240(a1),a101),x80811))+P107(f328(f328(f240(a1),a101),f328(f328(f3(a1),f328(f328(f83(a1),x80811),x80811)),a101)))
% 28.33/28.20 [8082]~P107(f328(f328(f239(a1),a86),x80821))+P107(f328(f328(f240(a1),a86),f328(f328(f3(a1),f328(f328(f83(a1),x80821),x80821)),a101)))
% 28.33/28.20 [8083]~P107(f328(f328(f239(a1),a101),x80831))+P107(f328(f328(f239(a1),a101),f328(f328(f3(a1),f328(f328(f83(a1),x80831),x80831)),a101)))
% 28.33/28.20 [8084]~P107(f328(f328(f239(a1),a86),x80841))+P107(f328(f328(f239(a1),a86),f328(f328(f3(a1),f328(f328(f83(a1),x80841),x80841)),a101)))
% 28.33/28.20 [8390]~P94(x83901)+~P35(x83901,f328(f108(x83901),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))
% 28.33/28.20 [8573]P107(f328(f328(f240(a1),a101),x85731))+~P107(f328(f328(f240(a1),a101),f328(f328(f3(a1),f328(f328(f83(a1),x85731),x85731)),a101)))
% 28.33/28.20 [8574]P107(f328(f328(f239(a1),a101),x85741))+~P107(f328(f328(f239(a1),a101),f328(f328(f3(a1),f328(f328(f83(a1),x85741),x85741)),a101)))
% 28.33/28.20 [8575]P107(f328(f328(f239(a1),a86),x85751))+~P107(f328(f328(f240(a1),a86),f328(f328(f3(a1),f328(f328(f83(a1),x85751),x85751)),a101)))
% 28.33/28.20 [8576]P107(f328(f328(f239(a1),a86),x85761))+~P107(f328(f328(f239(a1),a86),f328(f328(f3(a1),f328(f328(f83(a1),x85761),x85761)),a101)))
% 28.33/28.20 [8894]E(f328(f108(a911),f328(f328(f3(a1),f328(f328(f83(a1),x88941),x88941)),a101)),f328(f328(f89(a911,a911),f328(f108(a911),x88941)),f328(f328(f10(a911,a911,a911),a116),f328(f328(f20(a911,a911,a911),f83(a911)),f7(a911)))))+P107(f328(a195,f328(f108(a1),x88941)))
% 28.33/28.20 [9736]E(x97361,f190(f918(f917(a911,a911),a905)))+P107(f328(f328(f330(f917(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905))),f328(f328(f256(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905)),x97361),f190(f918(f917(a911,a911),a905)))),a72))
% 28.33/28.20 [8824]~P107(f328(a195,f328(f108(a1),x88241)))+P107(f328(a195,f328(f108(a1),f328(f328(f3(a1),f328(f328(f83(a1),x88241),x88241)),a101))))
% 28.33/28.20 [8825]~P107(f328(f328(f240(a1),x88251),a101))+P107(f328(f328(f240(a1),f328(f328(f3(a1),f328(f328(f83(a1),x88251),x88251)),a101)),a101))
% 28.33/28.20 [8826]~P107(f328(f328(f240(a1),x88261),a86))+P107(f328(f328(f240(a1),f328(f328(f3(a1),f328(f328(f83(a1),x88261),x88261)),a101)),a86))
% 28.33/28.20 [8827]~P107(f328(f328(f239(a1),x88271),a101))+P107(f328(f328(f239(a1),f328(f328(f3(a1),f328(f328(f83(a1),x88271),x88271)),a101)),a101))
% 28.33/28.20 [8828]~P107(f328(f328(f240(a1),x88281),a86))+P107(f328(f328(f239(a1),f328(f328(f3(a1),f328(f328(f83(a1),x88281),x88281)),a101)),a86))
% 28.33/28.20 [8933]~P107(f328(f328(f239(a1),f2(a1)),f328(f108(a1),x89331)))+P107(f328(f328(f239(a1),f2(a1)),f328(f108(a1),f328(f328(f3(a1),f328(f328(f83(a1),x89331),x89331)),a101))))
% 28.33/28.20 [9089]~P94(x90891)+E(f328(f328(f83(x90891),f81(x90891)),f81(x90891)),f328(f108(x90891),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))
% 28.33/28.20 [9242]P107(f328(a195,f328(f108(a1),x92421)))+~P107(f328(a195,f328(f108(a1),f328(f328(f3(a1),f328(f328(f83(a1),x92421),x92421)),a101))))
% 28.33/28.20 [9243]P107(f328(f328(f240(a1),x92431),a101))+~P107(f328(f328(f240(a1),f328(f328(f3(a1),f328(f328(f83(a1),x92431),x92431)),a101)),a101))
% 28.33/28.20 [9244]P107(f328(f328(f240(a1),x92441),a86))+~P107(f328(f328(f240(a1),f328(f328(f3(a1),f328(f328(f83(a1),x92441),x92441)),a101)),a86))
% 28.33/28.20 [9245]P107(f328(f328(f240(a1),x92451),a86))+~P107(f328(f328(f239(a1),f328(f328(f3(a1),f328(f328(f83(a1),x92451),x92451)),a101)),a86))
% 28.33/28.20 [9246]P107(f328(f328(f239(a1),x92461),a101))+~P107(f328(f328(f239(a1),f328(f328(f3(a1),f328(f328(f83(a1),x92461),x92461)),a101)),a101))
% 28.33/28.20 [9780]~P107(f328(f64(f917(a911,a911)),x97801))+P107(f328(f328(f330(f917(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905))),f328(f328(f256(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905)),f190(f918(f917(a911,a911),a905))),x97801)),a73))
% 28.33/28.20 [9569]~P108(x95691)+E(f328(f328(f248(x95691),f2(x95691)),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f2(x95691))
% 28.33/28.20 [9570]~P108(x95701)+E(f328(f328(f248(x95701),f81(x95701)),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f81(x95701))
% 28.33/28.20 [10000]~P107(f328(f328(f240(a911),f81(a911)),x100001))+P107(f328(f328(f240(a911),f2(a911)),f328(f328(f39(a911),x100001),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))))
% 28.33/28.20 [10006]~P107(f328(f328(f240(a911),f2(a911)),x100061))+P107(f328(f328(f240(a911),f2(a911)),f328(f328(f39(a911),f328(f328(f83(a911),x100061),f81(a911))),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))))
% 28.33/28.20 [10045]~E(f48(a911,x100451,f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f81(a911))+P107(f328(f328(f240(a911),f2(a911)),f48(a911,x100451,f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))))
% 28.33/28.20 [10064]E(f48(a911,x100641,f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f81(a911))+~P107(f328(f328(f240(a911),f2(a911)),f48(a911,x100641,f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))))
% 28.33/28.20 [4739]~P12(x47391,x47392)+P50(x47391,x47392)
% 28.33/28.20 [4740]~P12(x47401,x47402)+P50(x47401,x47402)
% 28.33/28.20 [4741]~P43(x47411,x47412)+P64(x47411,x47412)
% 28.33/28.20 [4742]~P51(x47421,x47422)+P64(x47421,x47422)
% 28.33/28.20 [4743]~P12(x47431,x47432)+P56(x47431,x47432)
% 28.33/28.20 [4744]~P12(x47441,x47442)+P56(x47441,x47442)
% 28.33/28.20 [4745]~P20(x47451,x47452)+P56(x47451,x47452)
% 28.33/28.20 [4746]~P20(x47461,x47462)+P56(x47461,x47462)
% 28.33/28.20 [4747]~P12(x47471,x47472)+P57(x47471,x47472)
% 28.33/28.20 [4748]~P12(x47481,x47482)+P57(x47481,x47482)
% 28.33/28.20 [4749]~P20(x47491,x47492)+P57(x47491,x47492)
% 28.33/28.20 [4750]~P20(x47501,x47502)+P57(x47501,x47502)
% 28.33/28.20 [4751]~P12(x47511,x47512)+P20(x47511,x47512)
% 28.33/28.20 [4699]~E(x46991,x46992)+E(f273(x46991,x46992),f81(a103))
% 28.33/28.20 [4702]E(f220(x47021,x47022),x47021)+~E(x47022,f2(a911))
% 28.33/28.20 [4710]~E(x47102,f117(x47101))+E(f154(x47101,x47102),f117(x47101))
% 28.33/28.20 [4711]~E(x47112,f117(x47111))+E(f154(x47111,x47112),f117(x47111))
% 28.33/28.20 [4729]~E(f154(x47292,x47291),f117(x47292))+E(x47291,f117(x47292))
% 28.33/28.20 [4730]~E(f154(x47302,x47301),f117(x47302))+E(x47301,f117(x47302))
% 28.33/28.20 [4755]~P1(x47552)+P1(f918(x47551,x47552))
% 28.33/28.20 [4756]~P110(x47562)+P110(f918(x47561,x47562))
% 28.33/28.20 [4757]~P111(x47572)+P111(f918(x47571,x47572))
% 28.33/28.20 [4758]~P112(x47582)+P112(f918(x47581,x47582))
% 28.33/28.20 [4759]~P96(x47592)+P96(f918(x47591,x47592))
% 28.33/28.20 [4760]~P91(x47602)+P91(f918(x47601,x47602))
% 28.33/28.20 [4761]~P80(x47612)+P80(f918(x47611,x47612))
% 28.33/28.20 [4762]~P99(x47622)+P98(f918(x47621,x47622))
% 28.33/28.20 [4763]~P101(x47632)+P100(f918(x47631,x47632))
% 28.33/28.20 [4764]~P101(x47642)+P101(f918(x47641,x47642))
% 28.33/28.20 [4765]~P101(x47652)+P104(f918(x47651,x47652))
% 28.33/28.20 [4766]~P102(x47662)+P102(f918(x47661,x47662))
% 28.33/28.20 [4767]~P10(x47672)+P10(f918(x47671,x47672))
% 28.33/28.20 [4768]~P118(x47682)+P118(f918(x47681,x47682))
% 28.33/28.20 [4769]~P99(x47692)+P103(f918(x47691,x47692))
% 28.33/28.20 [4770]~P99(x47702)+P99(f918(x47701,x47702))
% 28.33/28.20 [4782]E(x47821,x47822)+~E(f328(a26,x47821),f328(a26,x47822))
% 28.33/28.20 [4783]E(x47831,x47832)+~E(f328(a116,x47831),f328(a116,x47832))
% 28.33/28.20 [4784]E(x47841,x47842)+~E(f328(a116,x47841),f328(a116,x47842))
% 28.33/28.20 [4785]E(x47851,x47852)+~E(f328(a111,x47851),f328(a111,x47852))
% 28.33/28.20 [4786]E(x47861,x47862)+~E(f328(a5,x47861),f328(a5,x47862))
% 28.33/28.20 [4787]E(x47871,x47872)+~E(f328(a22,x47871),f328(a22,x47872))
% 28.33/28.20 [4788]E(x47881,x47882)+~E(f328(a22,x47881),f328(a22,x47882))
% 28.33/28.20 [4843]P45(x48431,x48432)+~E(f688(x48432,x48431),f689(x48432,x48431))
% 28.33/28.20 [4873]~P64(x48731,x48732)+P45(x48731,f308(x48731,x48732))
% 28.33/28.20 [4874]~P58(x48741,x48742)+P58(x48741,f308(x48741,x48742))
% 28.33/28.20 [4887]~P8(x48871)+E(f48(x48871,x48872,x48872),f2(x48871))
% 28.33/28.20 [4921]~P43(x49211,x49212)+P43(f912(x49211),f148(x49211,x49212))
% 28.33/28.20 [4922]~P43(x49221,x49222)+P43(f912(x49221),f147(x49221,x49222))
% 28.33/28.20 [4923]~P44(x49231,x49232)+P44(f912(x49231),f149(x49231,x49232))
% 28.33/28.20 [4924]~P44(x49241,x49242)+P44(f912(x49241),f160(x49241,x49242))
% 28.33/28.20 [4925]~P58(x49251,x49252)+P58(f912(x49251),f160(x49251,x49252))
% 28.33/28.20 [5022]~P43(x50221,x50222)+P43(f918(x50221,a905),f321(x50221,x50222))
% 28.33/28.20 [5023]~P43(x50231,x50232)+P43(f918(x50231,a905),f319(x50231,x50232))
% 28.33/28.20 [5148]~P11(x51481)+P46(f304(a1,x51481,x51482))
% 28.33/28.20 [5249]~P43(x52491,x52492)+P66(x52491,f70(x52491,x52491,x52492))
% 28.33/28.20 [5756]~P82(x57561)+P30(x57561,x57561,f82(x57561),x57562)
% 28.33/28.20 [4724]~E(x47242,f117(x47241))+E(f328(f170(x47241),x47242),f117(x47241))
% 28.33/28.20 [4725]~E(x47252,f117(x47251))+E(f328(f169(x47251),x47252),f117(x47251))
% 28.33/28.20 [4726]~E(x47262,f117(x47261))+E(f328(f170(x47261),x47262),f117(x47261))
% 28.33/28.20 [4790]E(x47901,f328(a109,x47902))+~E(f328(f104(a1),x47901),x47902)
% 28.33/28.20 [4792]E(x47921,f117(x47922))+~E(f328(f170(x47922),x47921),f117(x47922))
% 28.33/28.20 [4793]E(x47931,f117(x47932))+~E(f328(f169(x47932),x47931),f117(x47932))
% 28.33/28.20 [4794]E(x47941,f117(x47942))+~E(f328(f170(x47942),x47941),f117(x47942))
% 28.33/28.20 [4812]~P94(x48121)+E(f328(f108(x48121),x48122),f328(f107(x48121),x48122))
% 28.33/28.20 [4819]~P67(x48191)+P107(f328(f64(x48191),x48192))
% 28.33/28.20 [4820]~P67(x48201)+P107(f328(f64(x48201),x48202))
% 28.33/28.20 [4828]~E(f607(x48282,x48281),f117(x48281))+E(f181(x48281,x48282),f117(f912(x48281)))
% 28.33/28.20 [4837]~E(x48372,f117(x48371))+E(f328(f174(x48371),x48372),f190(f918(x48371,a905)))
% 28.33/28.20 [4838]~E(x48382,f117(x48381))+E(f190(f918(x48381,a905)),f328(f174(x48381),x48382))
% 28.33/28.20 [4839]E(x48391,x48392)+~E(f328(f104(a1),x48391),f328(f104(a1),x48392))
% 28.33/28.20 [4840]E(x48401,x48402)+~E(f328(f104(a1),x48401),f328(f104(a1),x48402))
% 28.33/28.20 [4844]E(f218(x48441,x48442),f2(a911))+P107(f328(f64(x48441),x48442))
% 28.33/28.20 [4862]~P113(x48621)+E(f85(x48621,f85(x48621,x48622)),f85(x48621,x48622))
% 28.33/28.20 [4876]~P114(x48761)+E(f328(f328(f248(x48761),x48762),f81(a911)),x48762)
% 28.33/28.20 [4877]~P84(x48771)+E(f328(f328(f248(x48771),x48772),f81(a911)),x48772)
% 28.33/28.20 [4878]~P58(x48781,x48782)+E(f328(f288(x48781,x48781),x48782),x48782)
% 28.33/28.20 [4882]E(x48821,x48822)+E(f273(x48821,x48822),f328(f328(f83(a103),x48822),f81(a103)))
% 28.33/28.20 [4883]E(f328(f38(x48831),x48832),f2(a911))+P107(f328(f64(x48831),x48832))
% 28.33/28.20 [4884]E(f328(f38(x48841),x48842),f2(a911))+P107(f328(f64(x48841),x48842))
% 28.33/28.20 [4885]E(f328(f38(x48851),x48852),f2(a911))+P107(f328(f64(x48851),x48852))
% 28.33/28.20 [4888]~E(f154(x48881,x48882),x48882)+P107(f328(f139(x48881),x48882))
% 28.33/28.20 [4891]~P79(x48911)+E(f328(f328(f83(x48911),x48912),f2(x48911)),x48912)
% 28.33/28.20 [4892]~P76(x48921)+E(f328(f328(f83(x48921),x48922),f2(x48921)),x48922)
% 28.33/28.20 [4893]~P114(x48931)+E(f328(f328(f83(x48931),x48932),f2(x48931)),x48932)
% 28.33/28.20 [4894]~P114(x48941)+E(f328(f328(f84(x48941),x48942),f81(x48941)),x48942)
% 28.33/28.20 [4895]~P84(x48951)+E(f328(f328(f84(x48951),x48952),f81(x48951)),x48952)
% 28.33/28.20 [4896]~P78(x48961)+E(f328(f328(f84(x48961),x48962),f81(x48961)),x48962)
% 28.33/28.20 [4897]~P8(x48971)+E(f328(f328(f39(x48971),x48972),f81(x48971)),x48972)
% 28.33/28.20 [4898]~P77(x48981)+E(f328(f328(f3(x48981),x48982),f2(x48981)),x48982)
% 28.33/28.20 [4899]~P121(x48991)+E(f328(f328(f291(x48991),x48992),f81(x48991)),x48992)
% 28.33/28.20 [4900]~P98(x49001)+E(f328(f328(f105(x49001),x49002),f190(x49001)),x49002)
% 28.33/28.20 [4901]~P103(x49011)+E(f328(f328(f106(x49011),x49012),f246(x49011)),x49012)
% 28.33/28.20 [4902]~P114(x49021)+E(f328(f328(f248(x49021),x49022),f2(a911)),f81(x49021))
% 28.33/28.20 [4903]~P117(x49031)+E(f328(f328(f248(x49031),x49032),f2(a911)),f81(x49031))
% 28.33/28.20 [4904]~E(x49042,f190(f918(x49041,a905)))+E(f328(f38(x49041),x49042),f2(a911))
% 28.33/28.20 [4915]~P8(x49151)+E(f48(x49151,x49152,f2(x49151)),x49152)
% 28.33/28.20 [4926]~P114(x49261)+E(f328(f328(f84(x49261),x49262),f2(x49261)),f2(x49261))
% 28.33/28.20 [4927]~P129(x49271)+E(f328(f328(f84(x49271),x49272),f2(x49271)),f2(x49271))
% 28.33/28.20 [4928]~P8(x49281)+E(f328(f328(f39(x49281),x49282),f2(x49281)),f2(x49281))
% 28.33/28.20 [4929]~P122(x49291)+E(f328(f328(f291(x49291),x49292),f2(x49291)),f2(x49291))
% 28.33/28.20 [4930]~P103(x49301)+E(f328(f328(f105(x49301),x49302),f246(x49301)),f246(x49301))
% 28.33/28.20 [4931]~P98(x49311)+E(f328(f328(f106(x49311),x49312),f190(x49311)),f190(x49311))
% 28.33/28.20 [4933]~P8(x49331)+E(f48(x49331,x49332,f81(x49331)),f2(x49331))
% 28.33/28.20 [4934]~P8(x49341)+E(f48(x49341,f2(x49341),x49342),f2(x49341))
% 28.33/28.20 [4963]E(x49631,f2(a911))+E(f58(x49632,x49631,f117(x49632)),f117(f912(x49632)))
% 28.33/28.20 [4986]P58(x49861,x49862)+~E(f328(f288(x49861,x49861),x49862),x49862)
% 28.33/28.20 [4987]P43(x49871,x49872)+~E(f690(x49872,x49871),f190(f918(x49871,a905)))
% 28.33/28.20 [4988]E(x49881,f117(x49882))+~E(f328(f174(x49882),x49881),f190(f918(x49882,a905)))
% 28.33/28.20 [4989]E(x49891,f117(x49892))+~E(f190(f918(x49892,a905)),f328(f174(x49892),x49891))
% 28.33/28.20 [4992]~E(x49921,x49922)+P107(f328(f328(a325,x49921),x49922))
% 28.33/28.20 [5002]P107(x50021)+P107(f328(f328(a331,x50021),x50022))
% 28.33/28.20 [5003]E(x50031,f117(x50032))+E(f328(f328(f166(x50032),x50031),f2(a911)),f328(f143(x50032),x50031))
% 28.33/28.20 [5005]E(f154(x50051,x50052),x50052)+~P107(f328(f139(x50051),x50052))
% 28.33/28.20 [5006]E(f154(x50061,x50062),x50062)+~P107(f328(f139(x50061),x50062))
% 28.33/28.20 [5013]~P107(x50132)+P107(f328(f328(a331,x50131),x50132))
% 28.33/28.20 [5014]~P107(x50142)+P107(f328(f328(a327,x50141),x50142))
% 28.33/28.20 [5015]~P107(x50151)+P107(f328(f328(a327,x50151),x50152))
% 28.33/28.20 [5025]~E(f527(x50252,x50251),f598(x50252,x50251))+P107(f328(f139(x50251),x50252))
% 28.33/28.20 [5032]E(f328(f266(x50321),x50322),f190(f918(x50321,a905)))+P107(f328(x50322,f528(x50322)))
% 28.33/28.20 [5033]E(f190(f918(x50331,a905)),f328(f266(x50331),x50332))+P107(f328(x50332,f543(x50332)))
% 28.33/28.20 [5102]~P113(x51021)+E(f328(f328(f84(x51021),x51022),f85(x51021,x51022)),f328(f79(x51021),x51022))
% 28.33/28.20 [5112]~E(x51121,f2(a1))+E(f49(x51121,x51122),f328(f328(f256(a1,a1),f2(a1)),f2(a1)))
% 28.33/28.20 [5113]~E(x51131,f2(a1))+E(f49(x51131,x51132),f328(f328(f256(a1,a1),f2(a1)),f2(a1)))
% 28.33/28.20 [5144]~P64(x51441,x51442)+P64(x51441,f328(f288(x51441,x51441),x51442))
% 28.33/28.20 [5145]~P44(x51451,x51452)+P44(x51451,f328(f288(x51451,x51451),x51452))
% 28.33/28.20 [5146]~P45(x51461,x51462)+P45(x51461,f328(f288(x51461,x51461),x51462))
% 28.33/28.20 [5147]~P58(x51471,x51472)+P58(x51471,f328(f288(x51471,x51471),x51472))
% 28.33/28.20 [5169]E(x51691,x51692)+~P107(f328(f328(a325,x51691),x51692))
% 28.33/28.20 [5180]P107(x51801)+~P107(f328(f328(a326,x51802),x51801))
% 28.33/28.20 [5181]P107(x51811)+~P107(f328(f328(a326,x51811),x51812))
% 28.33/28.20 [5186]~P118(x51861)+P107(f328(f328(f239(x51861),x51862),f246(x51861)))
% 28.33/28.20 [5190]E(x51901,x51902)+~E(f328(x51901,f444(x51902,x51901)),f328(x51902,f444(x51902,x51901)))
% 28.33/28.20 [5221]E(x52211,f2(a911))+E(f220(x52211,f48(a911,x52212,x52211)),f220(x52212,x52211))
% 28.33/28.20 [5226]~P109(x52261)+P18(x52261,f328(f328(f153(x52261),x52262),f117(x52261)))
% 28.33/28.20 [5228]E(x52281,f2(a1))+P107(f328(f52(x52282,x52281),f49(x52282,x52281)))
% 28.33/28.20 [5244]~P20(x52442,x52441)+P107(f328(f328(x52441,f828(x52441)),f828(x52441)))
% 28.33/28.20 [5247]~E(x52471,x52472)+P107(f328(f328(f240(a911),x52471),f328(a116,x52472)))
% 28.33/28.20 [5257]~E(x52571,f2(a911))+P107(f328(f328(f240(a911),x52571),f328(a116,x52572)))
% 28.33/28.20 [5267]P107(f328(x52671,x52672))+P107(f328(f328(f239(a1),f2(a1)),f723(x52671)))
% 28.33/28.20 [5331]P64(x53311,x53312)+~P64(x53311,f328(f288(x53311,x53311),x53312))
% 28.33/28.20 [5332]P44(x53321,x53322)+~P44(x53321,f328(f288(x53321,x53321),x53322))
% 28.33/28.20 [5333]P45(x53331,x53332)+~P45(x53331,f328(f288(x53331,x53331),x53332))
% 28.33/28.20 [5334]P58(x53341,x53342)+~P58(x53341,f328(f288(x53341,x53341),x53342))
% 28.33/28.20 [5337]~E(f48(a911,x53372,x53371),f2(a911))+E(f328(f328(f84(a911),x53371),f846(x53371,x53372)),x53372)
% 28.33/28.20 [5338]~E(f48(a1,x53382,x53381),f2(a1))+E(f328(f328(f84(a1),x53381),f757(x53381,x53382)),x53382)
% 28.33/28.20 [5343]~E(x53431,f328(a116,x53432))+P107(f328(f328(f239(a911),x53431),f328(a116,x53432)))
% 28.33/28.20 [5364]~P107(f328(x53641,x53642))+P107(f328(f328(f239(a1),f2(a1)),f708(x53641)))
% 28.33/28.20 [5376]E(f328(f328(f3(a911),f328(a109,x53761)),f328(a109,x53762)),f328(a109,x53761))+~P107(f328(a195,x53762))
% 28.33/28.20 [5408]E(f274(x54081,x54082),f81(a103))+~P107(f328(f328(f239(a103),x54081),f81(a103)))
% 28.33/28.20 [5504]E(f328(f328(f166(x55041),x55042),f527(x55042,x55041)),f328(f328(f166(x55041),x55042),f598(x55042,x55041)))+P107(f328(f139(x55041),x55042))
% 28.33/28.20 [5547]~P107(f328(x55471,f93(x55472,x55471)))+P107(f328(x55471,f610(x55472,x55471)))
% 28.33/28.20 [5611]P66(x56111,x56112)+~P107(f328(f316(x56111,x56112),f673(x56112,x56111)))
% 28.33/28.20 [5753]~P20(x57532,x57531)+P107(f328(f328(x57531,f832(x57531,x57532)),f832(x57531,x57532)))
% 28.33/28.20 [5754]~P20(x57542,x57541)+P107(f328(f328(x57541,f835(x57541,x57542)),f835(x57541,x57542)))
% 28.33/28.20 [5763]~E(f328(a116,f48(a911,x57631,x57632)),x57632)+E(f48(a911,f328(a116,x57631),x57632),f2(a911))
% 28.33/28.20 [5819]P43(x58191,x58192)+P107(f328(f328(f330(x58191),f759(x58192,x58191)),f760(x58192,x58191)))
% 28.33/28.20 [5826]~P140(x58261)+P107(f328(f328(f330(x58261),f328(f104(x58261),x58262)),f114(x58261)))
% 28.33/28.20 [5827]~P108(x58271)+P107(f328(f328(f330(x58271),f328(f104(x58271),x58272)),f188(x58271)))
% 28.33/28.20 [5828]~P140(x58281)+P107(f328(f328(f330(x58281),f328(f107(x58281),x58282)),f114(x58281)))
% 28.33/28.20 [5829]~P94(x58291)+P107(f328(f328(f330(x58291),f328(f108(x58291),x58292)),f114(x58291)))
% 28.33/28.20 [5961]~P44(x59611,x59612)+E(f328(f328(f290(x59611,x59611,x59611),x59612),f308(x59611,x59612)),x59612)
% 28.33/28.20 [5979]E(f328(a116,f48(a911,x59791,x59792)),x59792)+E(f48(a911,f328(a116,x59791),x59792),f328(a116,f48(a911,x59791,x59792)))
% 28.33/28.20 [6396]P43(x63961,x63962)+~P107(f328(f328(f330(x63961),f546(x63962,x63961)),f317(x63961,x63962)))
% 28.33/28.20 [6433]~P125(x64331)+~P107(f328(f328(f240(x64331),f328(f104(x64331),x64332)),f2(x64331)))
% 28.33/28.20 [6434]~P86(x64341)+~P107(f328(f328(f240(x64341),f328(f79(x64341),x64342)),f2(x64341)))
% 28.33/28.20 [6519]P107(f328(f328(f240(a1),x65191),f48(a1,x65192,x65191)))+~P107(f328(f328(f240(a1),x65191),f2(a1)))
% 28.33/28.20 [6520]P107(f328(f328(f240(a1),x65201),f48(a1,x65202,x65201)))+~P107(f328(f328(f240(a1),x65201),f2(a1)))
% 28.33/28.20 [6620]E(f328(f328(f310(a911),f328(a116,x66201)),f304(a911,x66202,x66201)),f304(a911,x66202,f328(a116,x66201)))+~P107(f328(f328(f239(a911),x66202),f328(a116,x66201)))
% 28.33/28.20 [6712]~P109(x67121)+P18(x67121,f152(x67121,x67121,f7(x67121),x67122))
% 28.33/28.20 [6839]E(f328(f169(x68391),x68392),x68392)+~P107(f328(f328(f239(a911),f328(f191(f912(x68391)),x68392)),f81(a911)))
% 28.33/28.20 [6858]~P86(x68581)+P107(f328(f328(f239(x68581),f328(f82(x68581),f328(f79(x68581),x68582))),f2(x68581)))
% 28.33/28.20 [6890]~P43(x68901,x68902)+P43(x68901,f328(f328(f290(x68901,x68901,x68901),x68902),f308(x68901,x68902)))
% 28.33/28.20 [6891]~P58(x68911,x68912)+P58(x68911,f328(f328(f290(x68911,x68911,x68911),x68912),f308(x68911,x68912)))
% 28.33/28.20 [7110]~P107(f328(f328(f240(a1),x71102),f2(a1)))+P107(f328(f328(f239(a1),f48(a1,x71101,x71102)),f2(a1)))
% 28.33/28.20 [7111]~P107(f328(f328(f240(a1),x71112),f2(a1)))+P107(f328(f328(f239(a1),f48(a1,x71111,x71112)),f2(a1)))
% 28.33/28.20 [7513]~P108(x75131)+E(f192(x75131,f328(f328(f9(x75131,x75131,x75131),f83(x75131)),f81(x75131)),x75132,f2(x75131)),f328(f104(x75131),x75132))
% 28.33/28.20 [7544]~P126(x75441)+~P107(f328(f328(f240(x75441),f328(f328(f84(x75441),x75442),x75442)),f2(x75441)))
% 28.33/28.20 [10150]~P113(x101501)+~P107(f328(f328(f240(x101501),f328(f328(f248(x101501),x101502),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))),f2(x101501)))
% 28.33/28.20 [4791]~E(x47912,f117(x47911))+E(f328(f191(f912(x47911)),x47912),f2(a911))
% 28.33/28.20 [4829]~E(x48291,f2(a911))+E(f328(f328(f83(a911),x48291),x48292),x48292)
% 28.33/28.20 [4830]~E(x48302,f2(a911))+E(f328(f328(f84(a911),x48301),x48302),f2(a911))
% 28.33/28.20 [4831]~E(x48311,f2(a911))+E(f328(f328(f84(a911),x48311),x48312),f2(a911))
% 28.33/28.20 [4832]~E(x48321,f2(a911))+E(f328(f328(f84(a911),x48321),x48322),f2(a911))
% 28.33/28.20 [4833]~E(x48332,f2(a1))+E(f328(f328(f39(a1),x48331),x48332),f2(a1))
% 28.33/28.20 [4834]~E(x48342,f2(a911))+E(f328(f328(f248(a911),x48341),x48342),f81(a911))
% 28.33/28.20 [4845]E(x48451,f117(x48452))+~E(f328(f191(f912(x48452)),x48451),f2(a911))
% 28.33/28.20 [4846]~P97(x48461)+E(f328(f328(f84(x48461),x48462),x48462),x48462)
% 28.33/28.20 [4847]~P97(x48471)+E(f328(f328(f84(x48471),x48472),x48472),x48472)
% 28.33/28.20 [4848]~P109(x48481)+E(f328(f328(f243(x48481),x48482),x48482),x48482)
% 28.33/28.20 [4849]~P109(x48491)+E(f328(f328(f243(x48491),x48492),x48492),x48492)
% 28.33/28.20 [4850]~P109(x48501)+E(f328(f328(f238(x48501),x48502),x48502),x48502)
% 28.33/28.20 [4851]~P109(x48511)+E(f328(f328(f238(x48511),x48512),x48512),x48512)
% 28.33/28.20 [4852]~P100(x48521)+E(f328(f328(f105(x48521),x48522),x48522),x48522)
% 28.33/28.20 [4853]~P100(x48531)+E(f328(f328(f105(x48531),x48532),x48532),x48532)
% 28.33/28.20 [4854]~P101(x48541)+E(f328(f328(f105(x48541),x48542),x48542),x48542)
% 28.33/28.20 [4855]~P101(x48551)+E(f328(f328(f106(x48551),x48552),x48552),x48552)
% 28.33/28.20 [4856]~P104(x48561)+E(f328(f328(f106(x48561),x48562),x48562),x48562)
% 28.33/28.20 [4857]~P104(x48571)+E(f328(f328(f106(x48571),x48572),x48572),x48572)
% 28.33/28.20 [4875]~P77(x48751)+E(f328(f328(f3(x48751),x48752),x48752),f2(x48751))
% 28.33/28.20 [4889]~P77(x48891)+E(f328(f82(x48891),f328(f82(x48891),x48892)),x48892)
% 28.33/28.20 [4890]~P96(x48901)+E(f328(f82(x48901),f328(f82(x48901),x48902)),x48902)
% 28.33/28.20 [4907]~E(x49072,f2(a911))+E(f328(f328(f248(a911),x49071),x49072),f328(a116,f2(a911)))
% 28.33/28.20 [4942]~P79(x49421)+E(f328(f328(f83(x49421),f2(x49421)),x49422),x49422)
% 28.33/28.20 [4943]~P76(x49431)+E(f328(f328(f83(x49431),f2(x49431)),x49432),x49432)
% 28.33/28.20 [4944]~P114(x49441)+E(f328(f328(f83(x49441),f2(x49441)),x49442),x49442)
% 28.33/28.20 [4945]~P114(x49451)+E(f328(f328(f84(x49451),f81(x49451)),x49452),x49452)
% 28.33/28.20 [4946]~P84(x49461)+E(f328(f328(f84(x49461),f81(x49461)),x49462),x49462)
% 28.33/28.20 [4947]~P78(x49471)+E(f328(f328(f84(x49471),f81(x49471)),x49472),x49472)
% 28.33/28.20 [4948]~P98(x49481)+E(f328(f328(f105(x49481),f190(x49481)),x49482),x49482)
% 28.33/28.20 [4949]~P103(x49491)+E(f328(f328(f106(x49491),f246(x49491)),x49492),x49492)
% 28.33/28.20 [4967]~P114(x49671)+E(f328(f328(f84(x49671),f2(x49671)),x49672),f2(x49671))
% 28.33/28.20 [4968]~P129(x49681)+E(f328(f328(f84(x49681),f2(x49681)),x49682),f2(x49681))
% 28.33/28.20 [4969]~P8(x49691)+E(f328(f328(f39(x49691),f2(x49691)),x49692),f2(x49691))
% 28.33/28.20 [4970]~P84(x49701)+E(f328(f328(f248(x49701),f81(x49701)),x49702),f81(x49701))
% 28.33/28.20 [4971]~P121(x49711)+E(f328(f328(f291(x49711),f2(x49711)),x49712),f2(x49711))
% 28.33/28.20 [4972]~P103(x49721)+E(f328(f328(f105(x49721),f246(x49721)),x49722),f246(x49721))
% 28.33/28.20 [4973]~P98(x49731)+E(f328(f328(f106(x49731),f190(x49731)),x49732),f190(x49731))
% 28.33/28.20 [4981]E(x49811,f117(x49812))+E(f146(x49812,f328(f170(x49812),x49811)),f328(f143(x49812),x49811))
% 28.33/28.20 [4982]E(x49821,f117(x49822))+E(f328(f143(x49822),f328(f170(x49822),x49821)),f146(x49822,x49821))
% 28.33/28.20 [4983]E(x49831,f2(a911))+~E(f328(f328(f83(a911),x49832),x49831),x49832)
% 28.33/28.20 [4990]~P140(x49901)+E(f328(f107(x49901),f328(f104(a1),x49902)),f328(f104(x49901),x49902))
% 28.33/28.20 [4991]~P94(x49911)+E(f328(f107(x49911),f328(f108(a1),x49912)),f328(f108(x49911),x49912))
% 28.33/28.20 [4996]E(x49961,f81(a911))+~E(f328(f328(f84(a911),x49962),x49961),f81(a911))
% 28.33/28.20 [4997]E(x49971,f81(a911))+~E(f328(f328(f84(a911),x49971),x49972),f81(a911))
% 28.33/28.20 [4998]E(x49981,f2(a911))+~E(f328(f328(f83(a911),x49982),x49981),f2(a911))
% 28.33/28.20 [4999]E(x49991,f2(a911))+~E(f328(f328(f83(a911),x49991),x49992),f2(a911))
% 28.33/28.20 [5000]E(x50001,f81(a911))+~E(f328(f328(f84(a911),x50002),x50001),f81(a911))
% 28.33/28.20 [5001]E(x50011,f81(a911))+~E(f328(f328(f84(a911),x50011),x50012),f81(a911))
% 28.33/28.20 [5018]~P113(x50181)+E(f328(f79(x50181),f328(f104(x50181),x50182)),f328(f104(x50181),x50182))
% 28.33/28.20 [5019]~P86(x50191)+E(f328(f79(x50191),f328(f82(x50191),x50192)),f328(f79(x50191),x50192))
% 28.33/28.20 [5020]~P86(x50201)+E(f328(f79(x50201),f328(f79(x50201),x50202)),f328(f79(x50201),x50202))
% 28.33/28.20 [5021]~P76(x50211)+E(f328(f167(x50211),f328(f170(x50211),x50212)),f328(f167(x50211),x50212))
% 28.33/28.20 [5026]~E(x50261,f328(a116,f2(a911)))+E(f328(f328(f248(a911),x50261),x50262),f328(a116,f2(a911)))
% 28.33/28.20 [5035]~P77(x50351)+E(f328(f328(f3(x50351),f2(x50351)),x50352),f328(f82(x50351),x50352))
% 28.33/28.20 [5036]~E(x50362,f2(a911))+E(f141(a911,f328(f303(a911,x50361),x50362)),f117(a911))
% 28.33/28.20 [5045]~P94(x50451)+E(f328(f328(f83(x50451),x50452),f328(f108(x50451),a86)),x50452)
% 28.33/28.20 [5046]E(x50461,f2(a1))+E(f50(f328(f79(a1),x50462),f328(f79(a1),x50461)),f56(x50462,x50461))
% 28.33/28.20 [5060]~E(x50601,x50602)+P107(f328(f328(f239(a911),x50601),x50602))
% 28.33/28.20 [5061]~E(x50611,x50612)+P107(f328(f328(f239(a911),x50611),x50612))
% 28.33/28.20 [5062]~E(x50621,x50622)+P107(f328(f328(f239(a911),x50621),x50622))
% 28.33/28.20 [5069]~E(x50691,f2(a103))+E(f328(f328(f83(a911),f328(a22,x50691)),x50692),x50692)
% 28.33/28.20 [5070]~E(f328(f108(a1),x50702),f328(f104(a1),x50701))+E(x50701,f328(a109,f328(f108(a1),x50702)))
% 28.33/28.20 [5083]~P11(x50831)+P11(f328(f328(f248(a1),x50831),x50832))
% 28.33/28.20 [5084]~P77(x50841)+E(f328(f328(f83(x50841),x50842),f328(f82(x50841),x50842)),f2(x50841))
% 28.33/28.20 [5085]~P96(x50851)+E(f328(f328(f105(x50851),x50852),f328(f82(x50851),x50852)),f246(x50851))
% 28.33/28.20 [5086]~P96(x50861)+E(f328(f328(f106(x50861),x50862),f328(f82(x50861),x50862)),f190(x50861))
% 28.33/28.20 [5110]E(x51101,f2(a911))+~E(f328(f82(a1),f328(f104(a1),x51102)),f328(f104(a1),x51101))
% 28.33/28.20 [5111]E(x51111,f2(a911))+~E(f328(f82(a1),f328(f104(a1),x51111)),f328(f104(a1),x51112))
% 28.33/28.20 [5121]E(f197(x51211,x51212),f2(a1))+P107(f328(f328(f239(a1),x51212),x51211))
% 28.33/28.20 [5122]E(f180(x51221,x51222),f117(a1))+P107(f328(f328(f239(a1),x51221),x51222))
% 28.33/28.20 [5123]E(f245(x51231,x51232),f2(a103))+P107(f328(f328(f240(a103),x51231),x51232))
% 28.33/28.20 [5136]E(x51361,f328(a116,f2(a911)))+~E(f328(f328(f84(a911),x51362),x51361),f328(a116,f2(a911)))
% 28.33/28.20 [5137]E(x51371,f328(a116,f2(a911)))+~E(f328(f328(f84(a911),x51371),x51372),f328(a116,f2(a911)))
% 28.33/28.20 [5138]~P110(x51381)+P107(f328(f328(f239(x51381),x51382),x51382))
% 28.33/28.20 [5141]~P94(x51411)+E(f328(f328(f84(x51411),x51412),f328(f108(x51411),a101)),f328(f82(x51411),x51412))
% 28.33/28.20 [5160]~P94(x51601)+E(f328(f82(x51601),f328(f108(x51601),x51602)),f328(f108(x51601),f328(f82(a1),x51602)))
% 28.33/28.20 [5161]~P140(x51611)+E(f328(f82(x51611),f328(f107(x51611),x51612)),f328(f107(x51611),f328(f82(a1),x51612)))
% 28.33/28.20 [5162]~P94(x51621)+E(f328(f82(x51621),f328(f108(x51621),x51622)),f328(f108(x51621),f328(f82(a1),x51622)))
% 28.33/28.20 [5191]~E(x51911,f328(a116,x51912))+P107(f328(f328(f240(a911),f2(a911)),x51911))
% 28.33/28.20 [5209]~P109(x52091)+E(f328(f82(f918(x52091,a905)),f328(f302(x52091),x52092)),f328(f305(x52091),x52092))
% 28.33/28.20 [5210]~P109(x52101)+E(f328(f82(f918(x52101,a905)),f328(f284(x52101),x52102)),f328(f285(x52101),x52102))
% 28.33/28.20 [5211]~P109(x52111)+E(f328(f82(f918(x52111,a905)),f328(f285(x52111),x52112)),f328(f284(x52111),x52112))
% 28.33/28.20 [5212]~P109(x52121)+E(f328(f82(f918(x52121,a905)),f328(f305(x52121),x52122)),f328(f302(x52121),x52122))
% 28.33/28.20 [5220]~E(f328(f104(a1),x52202),x52201)+P107(f328(f328(f239(a1),f2(a1)),x52201))
% 28.33/28.20 [5227]~E(x52272,f2(a1))+E(f56(x52271,x52272),f328(f328(f256(a1,a1),f2(a1)),f328(f79(a1),x52271)))
% 28.33/28.20 [5229]~P1(x52291)+P107(f328(f328(f239(x52291),f190(x52291)),x52292))
% 28.33/28.20 [5262]E(x52621,x52622)+~E(f328(f328(f83(a1),x52621),x52621),f328(f328(f83(a1),x52622),x52622))
% 28.33/28.20 [5266]~P107(f328(x52661,x52662))+P107(f328(x52661,f328(a109,f708(x52661))))
% 28.33/28.20 [5292]~P113(x52921)+E(f328(f328(f84(x52921),f85(x52921,x52922)),f328(f79(x52921),x52922)),x52922)
% 28.33/28.20 [5293]E(x52931,x52932)+~P107(f328(f328(f196(a25),x52931),x52932))
% 28.33/28.20 [5300]~E(x53002,f2(a911))+E(f88(f917(a911,a911),f51(x53001,x53002)),f328(f328(f256(a911,a911),f2(a911)),x53001))
% 28.33/28.20 [5301]~E(x53011,x53012)+~P107(f328(f328(f240(a911),x53011),x53012))
% 28.33/28.20 [5302]~E(x53021,x53022)+~P107(f328(f328(f240(a911),x53021),x53022))
% 28.33/28.20 [5303]~E(x53031,x53032)+~P107(f328(f328(f240(a911),x53031),x53032))
% 28.33/28.20 [5304]~E(x53041,x53042)+~P107(f328(f328(f240(a911),x53041),x53042))
% 28.33/28.20 [5305]~E(x53051,x53052)+~P107(f328(f328(f240(a911),x53051),x53052))
% 28.33/28.20 [5306]~E(x53061,x53062)+~P107(f328(f328(f240(a1),x53061),x53062))
% 28.33/28.20 [5309]~P108(x53091)+E(f328(f328(f83(x53091),f81(x53091)),f328(f104(x53091),x53092)),f328(f104(x53091),f328(a116,x53092)))
% 28.33/28.20 [5313]~E(x53131,f2(a911))+~P107(f328(f328(f240(a911),x53132),x53131))
% 28.33/28.20 [5327]E(f154(x53271,x53272),x53272)+~E(f328(f191(f912(x53271)),f154(x53271,x53272)),f328(f191(f912(x53271)),x53272))
% 28.33/28.20 [5328]E(f328(f38(x53281),f328(f174(x53281),x53282)),f328(f191(f912(x53281)),x53282))+~P107(f328(f139(x53281),x53282))
% 28.33/28.20 [5342]~P107(f328(x53421,f692(x53421)))+P107(f328(x53421,f328(f104(a1),x53422)))
% 28.33/28.20 [5352]E(f245(x53521,x53522),x53522)+~P107(f328(f328(f240(a103),x53521),x53522))
% 28.33/28.20 [5354]E(f274(x53541,x53542),f81(a103))+~P107(f328(f328(f240(a103),x53542),x53541))
% 28.33/28.20 [5355]E(f180(x53551,x53552),f117(a1))+~P107(f328(f328(f240(a1),x53552),x53551))
% 28.33/28.20 [5356]E(f131(x53561,x53562),f119(a1))+~P107(f328(f328(f240(a1),x53561),x53562))
% 28.33/28.20 [5358]~P111(x53581)+E(f304(x53581,x53582,x53582),f328(f328(f310(x53581),x53582),f190(f918(x53581,a905))))
% 28.33/28.20 [5379]~E(f328(f328(f3(a911),x53791),x53792),f2(a911))+P107(f328(f328(f239(a911),x53791),x53792))
% 28.33/28.20 [5405]~E(x54052,f2(a911))+E(f58(x54051,x54052,f117(x54051)),f328(f328(f153(f912(x54051)),f117(x54051)),f117(f912(x54051))))
% 28.33/28.20 [5409]~P110(x54091)+~P107(f328(f328(f240(x54091),x54092),x54092))
% 28.33/28.20 [5410]~E(f48(a1,x54101,x54102),f2(a1))+E(f48(a1,x54101,f328(f82(a1),x54102)),f2(a1))
% 28.33/28.20 [5411]~E(f48(a1,x54111,x54112),f2(a1))+E(f48(a1,x54111,f328(f82(a1),x54112)),f2(a1))
% 28.33/28.20 [5412]~E(f48(a1,x54121,x54122),f2(a1))+E(f48(a1,f328(f82(a1),x54121),x54122),f2(a1))
% 28.33/28.20 [5413]~E(f48(a1,x54131,x54132),f2(a1))+E(f48(a1,f328(f82(a1),x54131),x54132),f2(a1))
% 28.33/28.20 [5421]E(f328(f303(a911,x54211),f328(a116,x54212)),f190(f918(a911,a905)))+P107(f328(f328(f239(a911),x54211),x54212))
% 28.33/28.20 [5444]E(f141(a911,f328(f303(a911,x54441),x54442)),f117(a911))+P107(f328(f328(f240(a911),x54441),x54442))
% 28.33/28.20 [5449]~E(f328(f38(x54491),f328(f174(x54491),x54492)),f328(f191(f912(x54491)),x54492))+P107(f328(f139(x54491),x54492))
% 28.33/28.20 [5453]~P107(f328(f139(x54531),x54532))+P107(f328(f139(x54531),f328(f169(x54531),x54532)))
% 28.33/28.20 [5454]~P107(f328(f139(x54541),x54542))+P107(f328(f139(x54541),f328(f173(x54541),x54542)))
% 28.33/28.20 [5455]~P107(f328(f139(x54551),x54552))+P107(f328(f139(x54551),f328(f170(x54551),x54552)))
% 28.33/28.20 [5464]P107(f328(x54641,x54642))+~P107(f328(x54641,f328(a109,f723(x54641))))
% 28.33/28.20 [5465]P107(f328(f328(f239(a911),x54652),x54651))+P107(f328(f328(f239(a911),x54651),x54652))
% 28.33/28.20 [5466]P107(f328(f328(f239(a1),x54662),x54661))+P107(f328(f328(f239(a1),x54661),x54662))
% 28.33/28.20 [5470]~P86(x54701)+P107(f328(f328(f239(x54701),x54702),f328(f79(x54701),x54702)))
% 28.33/28.20 [5473]P107(f328(x54731,f683(x54731)))+~P107(f328(x54731,f328(f104(a1),x54732)))
% 28.33/28.20 [5496]E(f328(f328(f39(a911),x54961),x54962),f2(a911))+~P107(f328(f328(f240(a911),x54961),x54962))
% 28.33/28.20 [5497]E(f328(f328(f3(a911),x54971),x54972),f2(a911))+~P107(f328(f328(f239(a911),x54971),x54972))
% 28.33/28.20 [5498]E(f328(f328(f3(a911),x54981),x54982),f2(a911))+~P107(f328(f328(f239(a911),x54981),x54982))
% 28.33/28.20 [5515]E(f48(a911,x55151,x55152),x55151)+~P107(f328(f328(f240(a911),x55151),x55152))
% 28.33/28.20 [5516]E(f48(a911,x55161,x55162),x55161)+~P107(f328(f328(f240(a911),x55161),x55162))
% 28.33/28.20 [5524]E(f48(a1,x55241,f328(f82(a1),x55242)),f292(x55241,x55242))+P107(f328(f328(f239(a1),f2(a1)),x55242))
% 28.33/28.20 [5535]E(f328(f328(f3(a1),x55351),x55352),f197(x55351,x55352))+~P107(f328(f328(f239(a1),x55352),x55351))
% 28.33/28.20 [5536]E(f328(f328(f3(a1),x55361),x55362),f197(x55361,x55362))+~P107(f328(f328(f239(a1),x55362),x55361))
% 28.33/28.20 [5554]P107(f328(f328(f239(a1),f2(a1)),f692(x55541)))+P107(f328(x55541,f328(f104(a1),x55542)))
% 28.33/28.20 [5567]~P125(x55671)+P107(f328(f328(f239(x55671),f2(x55671)),f328(f104(x55671),x55672)))
% 28.33/28.20 [5568]~P125(x55681)+P107(f328(f328(f239(x55681),f2(x55681)),f328(f104(x55681),x55682)))
% 28.33/28.20 [5569]~P86(x55691)+P107(f328(f328(f239(x55691),f2(x55691)),f328(f79(x55691),x55692)))
% 28.33/28.20 [5596]E(f328(f328(f83(a911),x55961),f758(x55962,x55961)),x55962)+~P107(f328(f328(f239(a911),x55961),x55962))
% 28.33/28.20 [5597]E(f328(f328(f83(a911),x55971),f529(x55972,x55971)),x55972)+~P107(f328(f328(f240(a911),x55971),x55972))
% 28.33/28.20 [5609]~E(f328(f108(a1),x56091),f328(f104(a1),x56092))+P107(f328(f328(f239(a1),f2(a1)),f328(f108(a1),x56091)))
% 28.33/28.20 [5612]E(f304(a1,x56121,x56122),f190(f918(a1,a905)))+~P107(f328(f328(f240(a1),x56122),x56121))
% 28.33/28.20 [5615]~P113(x56151)+E(f328(f328(f84(x56151),f328(f79(x56151),x56152)),f328(f79(x56151),x56152)),f328(f328(f84(x56151),x56152),x56152))
% 28.33/28.20 [5620]E(f141(a911,f328(f303(a911,x56201),f328(a116,x56202))),f117(a911))+P107(f328(f328(f239(a911),x56201),x56202))
% 28.33/28.20 [5624]E(f328(f328(f39(a1),x56241),x56242),f293(x56241,x56242))+~P107(f328(f328(f239(a1),f2(a1)),x56242))
% 28.33/28.20 [5644]P107(f328(f139(x56441),x56442))+~P107(f328(f139(x56441),f328(f169(x56441),x56442)))
% 28.33/28.20 [5645]P107(f328(f139(x56451),x56452))+~P107(f328(f139(x56451),f328(f170(x56451),x56452)))
% 28.33/28.20 [5670]P107(f328(f64(a911),x56701))+P107(f328(f328(f330(a911),f353(x56701,x56702)),x56701))
% 28.33/28.20 [5671]P107(f328(f64(a911),x56711))+P107(f328(f328(f330(a911),f355(x56711,x56712)),x56711))
% 28.33/28.20 [5674]P107(f328(f328(f240(a911),x56742),f328(a116,x56741)))+P107(f328(f328(f240(a911),x56741),x56742))
% 28.33/28.20 [5675]E(f48(a1,x56751,x56752),f292(x56751,x56752))+~P107(f328(f328(f239(a1),f2(a1)),x56752))
% 28.33/28.20 [5677]E(f141(a911,f328(f303(a911,x56771),x56772)),f117(a911))+~P107(f328(f328(f239(a911),x56772),x56771))
% 28.33/28.20 [5678]E(f141(a911,f328(f303(a911,x56781),x56782)),f117(a911))+~P107(f328(f328(f239(a911),x56782),x56781))
% 28.33/28.20 [5679]~P82(x56791)+E(f328(f311(x56791,x56791,f82(x56791)),f328(f302(x56791),x56792)),f328(f285(x56791),f328(f82(x56791),x56792)))
% 28.33/28.20 [5680]~P82(x56801)+E(f328(f311(x56801,x56801,f82(x56801)),f328(f284(x56801),x56802)),f328(f305(x56801),f328(f82(x56801),x56802)))
% 28.33/28.20 [5681]~P82(x56811)+E(f328(f311(x56811,x56811,f82(x56811)),f328(f285(x56811),x56812)),f328(f302(x56811),f328(f82(x56811),x56812)))
% 28.33/28.20 [5682]~P82(x56821)+E(f328(f311(x56821,x56821,f82(x56821)),f328(f305(x56821),x56822)),f328(f284(x56821),f328(f82(x56821),x56822)))
% 28.33/28.20 [5693]E(x56931,f190(f918(x56932,a905)))+P107(f328(f328(f330(x56932),f857(x56931,x56932)),x56931))
% 28.33/28.20 [5694]E(x56941,f190(f918(x56942,a905)))+P107(f328(f328(f330(x56942),f876(x56941,x56942)),x56941))
% 28.33/28.20 [5701]~P107(f328(f328(f240(a911),x57011),x57012))+P107(f328(f328(f239(a911),x57011),x57012))
% 28.33/28.20 [5702]~P107(f328(f328(f240(a911),x57021),x57022))+P107(f328(f328(f239(a911),x57021),x57022))
% 28.33/28.20 [5703]~P107(f328(f328(f240(a911),x57031),x57032))+P107(f328(f328(f239(a911),x57031),x57032))
% 28.33/28.20 [5704]~P107(f328(f328(f240(a911),x57041),x57042))+P107(f328(f328(f239(a911),x57041),x57042))
% 28.33/28.20 [5705]~P107(f328(f328(f240(a911),x57051),x57052))+P107(f328(f328(f239(a911),x57051),x57052))
% 28.33/28.20 [5706]~P107(f328(f328(f240(a1),x57061),x57062))+P107(f328(f328(f239(a1),x57061),x57062))
% 28.33/28.20 [5722]E(f50(x57221,x57222),f328(f328(f256(a1,a1),f2(a1)),x57221))+~P107(f328(f328(f240(a1),x57221),x57222))
% 28.33/28.20 [5724]E(f219(f328(f82(a1),x57241),f328(f82(a1),x57242)),f219(x57241,x57242))+~P107(f328(f328(f240(a1),x57242),f2(a1)))
% 28.33/28.20 [5735]E(x57351,x57352)+~E(f328(a5,f328(a116,f328(a22,x57351))),f328(a5,f328(a116,f328(a22,x57352))))
% 28.33/28.20 [5740]E(f50(x57401,x57402),f328(f328(f256(a1,a1),f2(a1)),x57401))+~P107(f328(f328(f239(a1),x57402),f2(a1)))
% 28.33/28.20 [5769]E(f48(a911,f328(f108(a911),x57691),f328(f108(a911),x57692)),f2(a911))+~P107(f328(a195,f328(f108(a1),x57691)))
% 28.33/28.20 [5784]P107(f328(f328(f239(a1),f2(a1)),f683(x57841)))+~P107(f328(x57841,f328(f104(a1),x57842)))
% 28.33/28.20 [5817]P46(f304(a1,x58171,x58172))+~P107(f328(f328(f239(a1),f2(a1)),x58171))
% 28.33/28.20 [5822]~P107(f328(f64(x58221),x58222))+P107(f328(f64(f918(x58221,a905)),f328(f309(x58221),x58222)))
% 28.33/28.20 [5835]E(f328(f328(f83(a1),x58351),f328(f104(a1),f761(x58352,x58351))),x58352)+~P107(f328(f328(f239(a1),x58351),x58352))
% 28.33/28.20 [5843]P107(f328(f328(f239(a911),x58431),x58432))+P107(f328(f328(f239(a911),f328(a116,x58432)),x58431))
% 28.33/28.20 [5886]E(f328(f328(f39(a911),f328(f108(a911),x58861)),f328(f108(a911),x58862)),f2(a911))+~P107(f328(a195,f328(f108(a1),x58861)))
% 28.33/28.20 [5887]E(f328(f328(f84(a911),f328(f108(a911),x58871)),f328(f108(a911),x58872)),f2(a911))+~P107(f328(f328(f240(a1),x58871),a86))
% 28.33/28.20 [5888]P107(f328(f328(f240(a911),x58881),f328(a116,x58882)))+~P107(f328(f328(f240(a911),x58881),x58882))
% 28.33/28.20 [5889]P107(f328(f328(f240(a911),x58891),f328(a116,x58892)))+~P107(f328(f328(f240(a911),x58891),x58892))
% 28.33/28.20 [5890]P107(f328(f328(f240(a911),x58901),f328(a116,x58902)))+~P107(f328(f328(f239(a911),x58901),x58902))
% 28.33/28.20 [5891]P107(f328(f328(f240(a911),x58911),f328(a116,x58912)))+~P107(f328(f328(f239(a911),x58911),x58912))
% 28.33/28.20 [5892]P107(f328(f328(f239(a911),x58921),f328(a116,x58922)))+~P107(f328(f328(f239(a911),x58921),x58922))
% 28.33/28.20 [5893]P107(f328(f328(f239(a911),x58931),f328(a116,x58932)))+~P107(f328(f328(f239(a911),x58931),x58932))
% 28.33/28.20 [5896]~E(x58961,x58962)+P107(f328(f328(f240(a1),x58961),f328(f328(f83(a1),x58962),f81(a1))))
% 28.33/28.20 [5899]E(f48(a1,x58991,x58992),f2(a1))+E(f328(f328(f3(a1),x58992),f48(a1,x58991,x58992)),f48(a1,f328(f82(a1),x58991),x58992))
% 28.33/28.20 [5908]E(x59081,f117(x59082))+P107(f328(f328(f330(x59082),f146(x59082,x59081)),f328(f174(x59082),x59081)))
% 28.33/28.20 [5919]E(f88(f917(a911,a911),f51(x59191,x59192)),f328(f328(f256(a911,a911),f2(a911)),x59191))+~P107(f328(f328(f240(a911),x59191),x59192))
% 28.33/28.20 [5920]E(f88(f917(a911,a911),f51(x59201,x59202)),f328(f328(f256(a911,a911),f2(a911)),x59201))+~P107(f328(f328(f240(a911),x59201),x59202))
% 28.33/28.20 [5954]E(f328(f328(f83(a911),f328(f108(a911),x59541)),f328(f108(a911),x59542)),f328(f108(a911),x59542))+~P107(f328(f328(f240(a1),x59541),a86))
% 28.33/28.20 [5955]E(f328(f328(f3(a911),f328(f108(a911),x59551)),f328(f108(a911),x59552)),f328(f108(a911),x59551))+~P107(f328(f328(f240(a1),x59552),a86))
% 28.33/28.20 [5962]E(f328(a116,f328(f328(f83(a911),x59621),f479(x59622,x59621))),x59622)+~P107(f328(f328(f240(a911),x59621),x59622))
% 28.33/28.20 [5963]E(f328(a116,f328(f328(f83(a911),x59631),f510(x59632,x59631))),x59632)+~P107(f328(f328(f240(a911),x59631),x59632))
% 28.33/28.20 [5970]P107(f328(f328(f240(a911),f2(a911)),f529(x59701,x59702)))+~P107(f328(f328(f240(a911),x59702),x59701))
% 28.33/28.20 [5990]P107(f328(x59901,x59902))+~P107(f328(x59901,f328(a92,f684(x59902,x59901))))
% 28.33/28.20 [5991]P107(f328(x59911,x59912))+~P107(f328(x59911,f328(a5,f845(x59912,x59911))))
% 28.33/28.20 [5999]~P107(f328(f328(f240(a911),x59991),f328(a116,x59992)))+P107(f328(f328(f239(a911),x59991),x59992))
% 28.33/28.20 [6032]P107(f328(x60321,x60322))+P107(f328(f328(f330(a911),f845(x60322,x60321)),f246(f918(a911,a905))))
% 28.33/28.20 [6045]E(f328(f328(f310(a911),x60451),f328(f303(a911,x60452),x60451)),f328(f303(a911,x60452),f328(a116,x60451)))+~P107(f328(f328(f239(a911),x60452),x60451))
% 28.33/28.20 [6047]E(x60471,f117(x60472))+E(f328(f328(f136(x60472),f118(x60472,x60471)),f328(f328(f153(x60472),f146(x60472,x60471)),f117(x60472))),x60471)
% 28.33/28.20 [6063]P107(f328(f64(x60631),x60632))+~P107(f328(f328(f240(a911),f2(a911)),f328(f38(x60631),x60632)))
% 28.33/28.20 [6064]P107(f328(f64(x60641),x60642))+~P107(f328(f328(f240(a911),f2(a911)),f328(f38(x60641),x60642)))
% 28.33/28.20 [6066]~E(x60661,f190(f918(x60662,a905)))+~P107(f328(f328(f240(a911),f2(a911)),f328(f38(x60662),x60661)))
% 28.33/28.20 [6076]~P107(f328(f328(f240(a911),x60761),x60762))+P107(f328(f328(f239(a911),f328(a116,x60761)),x60762))
% 28.33/28.20 [6077]~P107(f328(f328(f240(a911),x60771),x60772))+P107(f328(f328(f239(a911),f328(a116,x60771)),x60772))
% 28.33/28.20 [6078]~P107(f328(f328(f240(a911),x60781),x60782))+P107(f328(f328(f239(a911),f328(a116,x60781)),x60782))
% 28.33/28.20 [6083]~P109(x60831)+E(f152(x60831,x60831,f7(x60831),f154(x60831,x60832)),f141(x60831,f328(f174(x60831),x60832)))
% 28.33/28.20 [6086]E(x60861,f117(x60862))+P107(f328(f328(f330(x60862),f328(f143(x60862),x60861)),f328(f174(x60862),x60861)))
% 28.33/28.20 [6092]~P125(x60921)+P107(f328(f328(f240(x60921),x60922),f328(f328(f83(x60921),x60922),f81(x60921))))
% 28.33/28.20 [6094]~P86(x60941)+P107(f328(f328(f239(x60941),f328(f82(x60941),x60942)),f328(f79(x60941),x60942)))
% 28.33/28.20 [6126]P107(f328(f64(a911),x61261))+~P107(f328(f328(f240(a911),f355(x61261,x61262)),x61262))
% 28.33/28.20 [6127]P107(f328(f64(a911),x61271))+~P107(f328(f328(f239(a911),f353(x61271,x61272)),x61272))
% 28.33/28.20 [6131]~P107(f328(f64(f917(x61311,x61311)),x61312))+P107(f328(f64(x61311),f328(f283(x61311),x61312)))
% 28.33/28.20 [6184]E(f180(f328(f108(a1),x61841),f328(f108(a1),x61842)),f117(a1))+P107(f328(f328(f239(a1),f328(f108(a1),x61841)),f328(f108(a1),x61842)))
% 28.33/28.20 [6189]~P107(f328(f328(f240(a911),x61892),f328(a116,x61891)))+~P107(f328(f328(f240(a911),x61891),x61892))
% 28.33/28.20 [6190]~P111(x61901)+E(f328(f328(f106(f918(x61901,a905)),f328(f302(x61901),x61902)),f328(f285(x61901),x61902)),f328(f328(f310(x61901),x61902),f190(f918(x61901,a905))))
% 28.33/28.20 [6192]E(f328(f328(f248(a911),f328(f108(a911),x61921)),f328(f108(a911),x61922)),f328(f328(f248(a911),f2(a911)),f328(f108(a911),x61922)))+~P107(f328(a195,f328(f108(a1),x61921)))
% 28.33/28.20 [6203]P107(f328(f64(x62031),x62032))+~P107(f328(f64(f918(x62031,a905)),f328(f309(x62031),x62032)))
% 28.33/28.20 [6225]P107(f328(f328(f240(a911),f328(a116,x62251)),f328(a116,x62252)))+~P107(f328(f328(f240(a911),x62251),x62252))
% 28.33/28.20 [6226]P107(f328(f328(f240(a911),f328(a116,x62261)),f328(a116,x62262)))+~P107(f328(f328(f240(a911),x62261),x62262))
% 28.33/28.20 [6227]P107(f328(f328(f240(a911),f328(a22,x62271)),f328(a22,x62272)))+~P107(f328(f328(f240(a103),x62271),x62272))
% 28.33/28.20 [6228]P107(f328(f328(f240(a103),f328(a5,x62281)),f328(a5,x62282)))+~P107(f328(f328(f240(a911),x62281),x62282))
% 28.33/28.20 [6229]P107(f328(f328(f239(a911),f328(a116,x62291)),f328(a116,x62292)))+~P107(f328(f328(f239(a911),x62291),x62292))
% 28.33/28.20 [6230]P107(f328(f328(f239(a911),f328(a22,x62301)),f328(a22,x62302)))+~P107(f328(f328(f239(a103),x62301),x62302))
% 28.33/28.20 [6231]P107(f328(f328(f239(a103),f328(a5,x62311)),f328(a5,x62312)))+~P107(f328(f328(f239(a911),x62311),x62312))
% 28.33/28.20 [6236]E(x62361,x62362)+~E(f328(f311(a911,a1,f104(a1)),x62361),f328(f311(a911,a1,f104(a1)),x62362))
% 28.33/28.20 [6252]P107(f328(f328(f240(a911),x62521),x62522))+~P107(f328(f328(f240(a911),f328(a116,x62521)),x62522))
% 28.33/28.20 [6253]P107(f328(f328(f240(a911),x62531),x62532))+~P107(f328(f328(f239(a911),f328(a116,x62531)),x62532))
% 28.33/28.20 [6254]P107(f328(f328(f240(a911),x62541),x62542))+~P107(f328(f328(f239(a911),f328(a116,x62541)),x62542))
% 28.33/28.20 [6255]P107(f328(f328(f240(a911),x62551),x62552))+~P107(f328(f328(f239(a911),f328(a116,x62551)),x62552))
% 28.33/28.20 [6256]P107(f328(f328(f239(a911),x62561),x62562))+~P107(f328(f328(f239(a911),f328(a116,x62561)),x62562))
% 28.33/28.20 [6274]E(f48(a1,x62741,x62742),f2(a1))+E(f328(f328(f3(a1),f48(a1,x62741,x62742)),x62742),f48(a1,x62741,f328(f82(a1),x62742)))
% 28.33/28.20 [6338]E(f328(f38(f918(x63381,a905)),f328(f309(x63381),x63382)),f328(f328(f248(a911),f328(a116,f328(a116,f2(a911)))),f328(f38(x63381),x63382)))+~P107(f328(f64(x63381),x63382))
% 28.33/28.20 [6341]E(x63411,f117(x63412))+E(f328(f328(f166(x63412),x63411),f328(f328(f3(a911),f328(f191(f912(x63412)),x63411)),f81(a911))),f146(x63412,x63411))
% 28.33/28.20 [6363]E(x63631,f117(x63632))+E(f328(f328(f136(x63632),f328(f173(x63632),x63631)),f328(f328(f153(x63632),f328(f143(x63632),x63631)),f117(x63632))),f328(f169(x63632),x63631))
% 28.33/28.20 [6364]~P107(f328(f190(f918(x63641,a905)),x63642))+P107(f328(f328(f330(x63641),x63642),f190(f918(x63641,a905))))
% 28.33/28.20 [6393]~P107(f328(f64(x63931),f40(f918(x63931,a905),x63932)))+P107(f328(f64(f918(x63931,a905)),x63932))
% 28.33/28.20 [6415]P107(f328(f328(f239(a911),f328(f108(a911),x64151)),f328(f108(a911),x64152)))+~P107(f328(f328(f239(a1),x64151),a86))
% 28.33/28.20 [6435]~P107(f328(f328(f240(a1),x64351),x64352))+P107(f328(f328(f240(a1),x64351),f328(f328(f83(a1),x64352),f81(a1))))
% 28.33/28.20 [6436]~P107(f328(f328(f239(a1),x64361),x64362))+P107(f328(f328(f240(a1),x64361),f328(f328(f83(a1),x64362),f81(a1))))
% 28.33/28.20 [6437]~P107(f328(f328(f240(a1),x64371),x64372))+P107(f328(f328(f239(a1),x64371),f328(f328(f3(a1),x64372),f81(a1))))
% 28.33/28.20 [6439]~P107(f328(f328(f240(a911),x64391),x64392))+P107(f328(f328(f240(a1),f328(f104(a1),x64391)),f328(f104(a1),x64392)))
% 28.33/28.20 [6440]~P107(f328(f328(f240(a911),x64401),x64402))+P107(f328(f328(f240(a1),f328(f104(a1),x64401)),f328(f104(a1),x64402)))
% 28.33/28.20 [6441]~P107(f328(f328(f240(a1),x64411),x64412))+P107(f328(f328(f240(a1),f328(f108(a1),x64411)),f328(f108(a1),x64412)))
% 28.33/28.20 [6442]~P107(f328(f328(f239(a1),x64421),x64422))+P107(f328(f328(f239(a911),f328(f108(a911),x64421)),f328(f108(a911),x64422)))
% 28.33/28.20 [6443]~P107(f328(f328(f239(a911),x64431),x64432))+P107(f328(f328(f239(a1),f328(f104(a1),x64431)),f328(f104(a1),x64432)))
% 28.33/28.20 [6444]~P107(f328(f328(f239(a911),x64441),x64442))+P107(f328(f328(f239(a1),f328(f104(a1),x64441)),f328(f104(a1),x64442)))
% 28.33/28.20 [6445]~P107(f328(f328(f239(a1),x64451),x64452))+P107(f328(f328(f239(a1),f328(f108(a1),x64451)),f328(f108(a1),x64452)))
% 28.33/28.20 [6452]~E(x64522,f190(f918(x64521,a905)))+P107(f328(f328(f239(f918(x64521,a905)),x64522),f190(f918(x64521,a905))))
% 28.33/28.20 [6464]~P107(f328(f328(f239(a911),x64641),x64642))+~P107(f328(f328(f239(a911),f328(a116,x64642)),x64641))
% 28.33/28.20 [6506]~P107(f328(f328(f240(a911),f328(a116,x65061)),f328(a116,x65062)))+P107(f328(f328(f240(a911),x65061),x65062))
% 28.33/28.20 [6507]~P107(f328(f328(f240(a911),f328(a116,x65071)),f328(a116,x65072)))+P107(f328(f328(f240(a911),x65071),x65072))
% 28.33/28.20 [6508]~P107(f328(f328(f240(a103),f328(a5,x65081)),f328(a5,x65082)))+P107(f328(f328(f240(a911),x65081),x65082))
% 28.33/28.20 [6509]~P107(f328(f328(f240(a911),f328(a109,x65091)),f328(a109,x65092)))+P107(f328(f328(f240(a1),x65091),x65092))
% 28.33/28.20 [6510]~P107(f328(f328(f240(a911),f328(a22,x65101)),f328(a22,x65102)))+P107(f328(f328(f240(a103),x65101),x65102))
% 28.33/28.20 [6511]~P107(f328(f328(f239(a911),f328(a116,x65111)),f328(a116,x65112)))+P107(f328(f328(f239(a911),x65111),x65112))
% 28.33/28.20 [6512]~P107(f328(f328(f239(a103),f328(a5,x65121)),f328(a5,x65122)))+P107(f328(f328(f239(a911),x65121),x65122))
% 28.33/28.20 [6513]~P107(f328(f328(f239(a911),f328(a22,x65131)),f328(a22,x65132)))+P107(f328(f328(f239(a103),x65131),x65132))
% 28.33/28.20 [6534]~P107(f328(f328(f330(x65341),x65342),f190(f918(x65341,a905))))+P107(f328(f190(f918(x65341,a905)),x65342))
% 28.33/28.20 [6554]~P107(f328(f328(f240(a911),f328(a109,x65542)),f328(a109,x65541)))+P107(f328(f328(f240(a1),f2(a1)),x65541))
% 28.33/28.20 [6585]P107(f328(f328(f239(a1),f2(a1)),f48(a1,x65851,x65852)))+~P107(f328(f328(f240(a1),f2(a1)),x65852))
% 28.33/28.20 [6586]P107(f328(f328(f239(a1),f2(a1)),f48(a1,x65861,x65862)))+~P107(f328(f328(f240(a1),f2(a1)),x65862))
% 28.33/28.20 [6747]P43(x67471,x67472)+~E(f328(f328(f290(x67471,x67471,x67471),x67472),x67472),f190(f918(f917(x67471,x67471),a905)))
% 28.33/28.20 [6759]~P43(x67591,x67592)+P43(x67591,f328(f328(f290(x67591,x67591,x67591),x67592),x67592))
% 28.33/28.20 [6771]P107(f328(f328(f240(a1),x67711),x67712))+~P107(f328(f328(f239(a1),x67711),f328(f328(f3(a1),x67712),f81(a1))))
% 28.33/28.20 [6772]P107(f328(f328(f239(a1),x67721),x67722))+~P107(f328(f328(f240(a1),x67721),f328(f328(f83(a1),x67722),f81(a1))))
% 28.33/28.20 [6774]P107(f328(f328(f240(a911),x67741),x67742))+~P107(f328(f328(f240(a1),f328(f104(a1),x67741)),f328(f104(a1),x67742)))
% 28.33/28.20 [6775]P107(f328(f328(f240(a911),x67751),x67752))+~P107(f328(f328(f240(a1),f328(f104(a1),x67751)),f328(f104(a1),x67752)))
% 28.33/28.20 [6776]P107(f328(f328(f240(a1),x67761),x67762))+~P107(f328(f328(f240(a911),f328(f108(a911),x67761)),f328(f108(a911),x67762)))
% 28.33/28.20 [6777]P107(f328(f328(f240(a1),x67771),x67772))+~P107(f328(f328(f240(a1),f328(f108(a1),x67771)),f328(f108(a1),x67772)))
% 28.33/28.20 [6778]P107(f328(f328(f239(a911),x67781),x67782))+~P107(f328(f328(f239(a1),f328(f104(a1),x67781)),f328(f104(a1),x67782)))
% 28.33/28.20 [6779]P107(f328(f328(f239(a911),x67791),x67792))+~P107(f328(f328(f239(a1),f328(f104(a1),x67791)),f328(f104(a1),x67792)))
% 28.33/28.20 [6780]P107(f328(f328(f239(a1),x67801),x67802))+~P107(f328(f328(f239(a1),f328(f108(a1),x67801)),f328(f108(a1),x67802)))
% 28.33/28.20 [6871]~E(f648(x68712,x68711),f117(x68711))+E(f328(f144(f912(x68711),f912(x68711),f136(x68711),f117(x68711)),x68712),f117(x68711))
% 28.33/28.20 [6872]~E(f649(x68722,x68721),f117(x68721))+E(f328(f144(f912(x68721),f912(x68721),f136(x68721),f117(x68721)),x68722),f117(x68721))
% 28.33/28.20 [6877]~P10(x68771)+E(f328(f144(x68771,x68771,f105(x68771),f190(x68771)),x68772),f40(x68771,f328(f174(x68771),x68772)))
% 28.33/28.20 [6878]~P10(x68781)+E(f328(f144(x68781,x68781,f106(x68781),f246(x68781)),x68782),f41(x68781,f328(f174(x68781),x68782)))
% 28.33/28.20 [6892]E(x68921,f2(a103))+E(f328(f328(f83(a911),f328(a22,f328(f328(f3(a103),x68921),f81(a103)))),f328(a116,x68922)),f328(f328(f83(a911),f328(a22,x68921)),x68922))
% 28.33/28.20 [6942]P107(f328(f328(f240(a1),f328(f328(f3(a1),x69421),x69422)),f2(a1)))+~P107(f328(f328(f240(a1),x69421),x69422))
% 28.33/28.20 [6967]~P109(x69671)+E(f328(f328(f105(f918(x69671,a905)),f328(f328(f310(x69671),x69672),f190(f918(x69671,a905)))),f328(f305(x69671),x69672)),f328(f285(x69671),x69672))
% 28.33/28.20 [7040]~P66(x70401,x70402)+P43(x70401,f328(f266(f917(x70401,x70401)),f328(f261(x70401,x70401,a905),x70402)))
% 28.33/28.20 [7041]~P66(x70411,x70412)+P64(x70411,f328(f266(f917(x70411,x70411)),f328(f261(x70411,x70411,a905),x70412)))
% 28.33/28.20 [7042]~P56(x70421,x70422)+P44(x70421,f328(f266(f917(x70421,x70421)),f328(f261(x70421,x70421,a905),x70422)))
% 28.33/28.20 [7043]~P57(x70431,x70432)+P58(x70431,f328(f266(f917(x70431,x70431)),f328(f261(x70431,x70431,a905),x70432)))
% 28.33/28.20 [7044]E(x70441,f190(f918(x70442,a905)))+~P107(f328(f328(f239(f918(x70442,a905)),x70441),f190(f918(x70442,a905))))
% 28.33/28.20 [7126]~P107(f328(f328(f240(a911),f2(a911)),x71262))+P107(f328(f328(f240(a911),f48(a911,x71261,x71262)),x71262))
% 28.33/28.20 [7127]~P107(f328(f328(f240(a1),f2(a1)),x71272))+P107(f328(f328(f240(a1),f48(a1,x71271,x71272)),x71272))
% 28.33/28.20 [7128]~P107(f328(f328(f240(a1),f2(a1)),x71282))+P107(f328(f328(f240(a1),f48(a1,x71281,x71282)),x71282))
% 28.33/28.20 [7129]~P107(f328(f328(f240(a911),f2(a911)),x71292))+P107(f328(f328(f239(a911),f48(a911,x71291,x71292)),x71292))
% 28.33/28.20 [7130]~P107(f328(f328(f239(a1),f2(a1)),x71301))+P107(f328(f328(f239(a1),f48(a1,x71301,x71302)),x71301))
% 28.33/28.20 [7205]~P111(x72051)+E(f328(f328(f3(f918(x72051,a905)),f328(f328(f310(x72051),x72052),f190(f918(x72051,a905)))),f328(f284(x72051),x72052)),f328(f328(f310(x72051),x72052),f190(f918(x72051,a905))))
% 28.33/28.20 [7277]~P50(x72771,x72772)+P59(x72771,f246(f918(x72771,a905)),f328(f266(f917(x72771,x72771)),f328(f261(x72771,x72771,a905),x72772)))
% 28.33/28.20 [7278]P107(f328(x72781,x72782))+P107(f328(f328(f330(f918(f917(a911,a911),a905)),f684(x72782,x72781)),a102))
% 28.33/28.20 [7322]E(f328(f328(f136(a911),f141(a911,f328(f303(a911,x73221),x73222))),f328(f328(f153(a911),x73222),f117(a911))),f141(a911,f328(f303(a911,x73221),f328(a116,x73222))))+~P107(f328(f328(f239(a911),x73221),x73222))
% 28.33/28.20 [7323]E(f328(f328(f136(a911),f141(a911,f328(f303(a911,x73231),x73232))),f328(f328(f153(a911),x73232),f117(a911))),f141(a911,f328(f303(a911,x73231),f328(a116,x73232))))+~P107(f328(f328(f239(a911),x73231),x73232))
% 28.33/28.20 [7479]E(x74791,f2(a911))+~E(f328(f144(a911,a911,f83(a911),x74791),x74792),f2(a911))
% 28.33/28.20 [7505]~P107(f328(f328(f240(a1),f328(f328(f3(a1),x75051),x75052)),f2(a1)))+P107(f328(f328(f240(a1),x75051),x75052))
% 28.33/28.20 [7532]P43(x75321,x75322)+~P43(x75321,f328(f328(f290(x75321,x75321,x75321),x75322),x75322))
% 28.33/28.20 [7561]~P107(f328(f328(f239(a911),f328(a116,x75611)),x75612))+P107(f187(a905,a237,f328(f239(a911),x75611),x75612))
% 28.33/28.20 [7717]P30(a911,a911,f328(f328(f9(a911,a911,a911),f3(a911)),x77171),x77172)+P107(f328(f328(f330(a911),f693(x77171,x77172)),x77172))
% 28.33/28.20 [7773]E(f328(f328(f328(f68(a911,x77731,f83(a911)),f328(f18(a911,x77731),f81(a911))),f2(a911)),x77732),f328(f38(x77731),x77732))+~P107(f328(f64(x77731),x77732))
% 28.33/28.20 [7774]E(f328(f328(f328(f68(a911,x77741,f83(a911)),f328(f18(a911,x77741),f81(a911))),f2(a911)),x77742),f328(f38(x77741),x77742))+~P107(f328(f64(x77741),x77742))
% 28.33/28.20 [7815]P30(a911,a911,f328(f328(f9(a911,a911,a911),f3(a911)),x78151),x78152)+~P107(f328(f328(f239(a911),x78151),f693(x78151,x78152)))
% 28.33/28.20 [7871]P43(x78711,x78712)+P107(f328(f328(f239(f918(x78711,a905)),f690(x78712,x78711)),f328(f287(x78711,x78711,x78712),f690(x78712,x78711))))
% 28.33/28.20 [7876]P66(x78761,x78762)+~P43(x78761,f328(f266(f917(x78761,x78761)),f328(f261(x78761,x78761,a905),x78762)))
% 28.33/28.20 [7877]P56(x78771,x78772)+~P44(x78771,f328(f266(f917(x78771,x78771)),f328(f261(x78771,x78771,a905),x78772)))
% 28.33/28.20 [7878]P57(x78781,x78782)+~P58(x78781,f328(f266(f917(x78781,x78781)),f328(f261(x78781,x78781,a905),x78782)))
% 28.33/28.20 [7952]P107(f328(f328(f239(a911),f328(a116,x79521)),x79522))+~P107(f187(a905,a237,f328(f239(a911),x79521),x79522))
% 28.33/28.20 [8007]P107(f328(f328(f330(f917(a911,a911)),f328(f328(f256(a911,a911),x80071),x80072)),f308(a911,a318)))+~P107(f328(f328(f239(a911),x80071),x80072))
% 28.33/28.20 [8103]P50(x81031,x81032)+~P59(x81031,f246(f918(x81031,a905)),f328(f266(f917(x81031,x81031)),f328(f261(x81031,x81031,a905),x81032)))
% 28.33/28.20 [8166]~P107(f328(f139(x81661),x81662))+P107(f328(f139(f918(x81661,a905)),f328(f328(f156(f912(x81661),f918(x81661,a905)),f174(x81661)),f57(x81661,x81662))))
% 28.33/28.20 [8368]~P43(x83681,f328(f288(x83681,x83681),x83682))+P43(x83681,f328(f288(x83681,x83681),f328(f328(f290(x83681,x83681,x83681),x83682),f308(x83681,x83682))))
% 28.33/28.20 [8492]P107(f328(f64(f917(x84921,x84921)),f328(f328(f290(x84921,x84921,x84921),x84922),f308(x84921,x84922))))+~P107(f328(f64(f917(x84921,x84921)),x84922))
% 28.33/28.20 [8520]E(x85201,f2(a1))+P107(f328(f52(x85202,x85201),f328(f328(f256(a1,a1),f328(f328(f39(a1),x85202),x85201)),f48(a1,x85202,x85201))))
% 28.33/28.20 [8533]~P107(f328(f328(f330(f917(a911,a911)),f328(f328(f256(a911,a911),x85331),x85332)),f308(a911,a318)))+P107(f328(f328(f239(a911),x85331),x85332))
% 28.33/28.20 [8551]~P79(x85511)+E(f328(f144(x85511,x85511,f328(f9(x85511,x85511,x85511),f83(x85511)),f2(x85511)),f328(f170(x85511),x85512)),f328(f144(x85511,x85511,f83(x85511),f2(x85511)),x85512))
% 28.33/28.20 [8728]~P109(x87281)+E(f328(f144(f912(x87281),x87281,f328(f9(x87281,f912(x87281),f912(x87281)),f150(x87281,x87281,f7(x87281))),f117(x87281)),x87282),f152(x87281,x87281,f7(x87281),x87282))
% 28.33/28.20 [8835]~P64(x88351,f328(f266(f917(x88351,x88351)),f328(f261(x88351,x88351,a905),x88352)))+P64(x88351,f328(f266(f917(x88351,x88351)),f328(f261(x88351,x88351,a905),f247(x88351,x88351,x88352))))
% 28.33/28.20 [8849]P107(f328(f328(f330(f917(a911,a911)),f328(f328(f256(a911,a911),x88491),x88492)),f328(f328(f290(a911,a911,a911),a318),f308(a911,a318))))+~P107(f328(f328(f240(a911),x88491),x88492))
% 28.33/28.20 [8892]~P107(f328(f64(f917(x88921,x88921)),f328(f328(f290(x88921,x88921,x88921),x88922),f308(x88921,x88922))))+P107(f328(f64(f917(x88921,x88921)),x88922))
% 28.33/28.20 [8946]~P64(x89461,f328(f266(f917(x89461,x89461)),f328(f261(x89461,x89461,a905),f247(x89461,x89461,x89462))))+P64(x89461,f328(f266(f917(x89461,x89461)),f328(f261(x89461,x89461,a905),x89462)))
% 28.33/28.20 [9143]P64(x91431,x91432)+P107(f328(f328(f330(f917(x91431,x91431)),f328(f328(f256(x91431,x91431),f717(x91432,x91431)),f717(x91432,x91431))),f328(f328(f290(x91431,x91431,x91431),x91432),f308(x91431,x91432))))
% 28.33/28.20 [9144]P64(x91441,x91442)+P107(f328(f328(f330(f917(x91441,x91441)),f328(f328(f256(x91441,x91441),f719(x91442,x91441)),f719(x91442,x91441))),f328(f328(f290(x91441,x91441,x91441),x91442),f308(x91441,x91442))))
% 28.33/28.20 [9261]~P107(f328(f328(f330(f917(a911,a911)),f328(f328(f256(a911,a911),x92611),x92612)),f328(f328(f290(a911,a911,a911),a318),f308(a911,a318))))+P107(f328(f328(f240(a911),x92611),x92612))
% 28.33/28.20 [5205]~P94(x52051)+E(f328(f328(f83(x52051),f328(f108(x52051),a86)),x52052),x52052)
% 28.33/28.20 [5234]~P77(x52341)+E(f328(f328(f83(x52341),f328(f82(x52341),x52342)),x52342),f2(x52341))
% 28.33/28.20 [5235]~P7(x52351)+E(f328(f328(f83(x52351),f328(f82(x52351),x52352)),x52352),f2(x52351))
% 28.33/28.20 [5236]~P96(x52361)+E(f328(f328(f105(x52361),f328(f82(x52361),x52362)),x52362),f246(x52361))
% 28.33/28.20 [5237]~P96(x52371)+E(f328(f328(f106(x52371),f328(f82(x52371),x52372)),x52372),f190(x52371))
% 28.33/28.20 [5270]~P94(x52701)+E(f328(f328(f84(x52701),f328(f108(x52701),a101)),x52702),f328(f82(x52701),x52702))
% 28.33/28.20 [5436]~P116(x54361)+E(f328(f328(f84(x54361),f328(f82(x54361),f81(x54361))),x54362),f328(f82(x54361),x54362))
% 28.33/28.20 [5482]E(f328(f79(a1),x54821),f81(a1))+~E(f328(f79(a1),f328(f328(f84(a1),x54821),x54822)),f81(a1))
% 28.33/28.20 [5571]~P94(x55711)+E(f328(f328(f83(x55711),f81(x55711)),f328(f108(x55711),x55712)),f328(f108(x55711),f328(f328(f3(a1),x55712),a101)))
% 28.33/28.20 [5625]~P101(x56251)+E(f13(x56251,f328(f328(f310(x56251),x56252),f190(f918(x56251,a905)))),x56252)
% 28.33/28.20 [5626]~P101(x56261)+E(f12(x56261,f328(f328(f310(x56261),x56262),f190(f918(x56261,a905)))),x56262)
% 28.33/28.20 [5627]~P109(x56271)+E(f16(x56271,f328(f328(f310(x56271),x56272),f190(f918(x56271,a905)))),x56272)
% 28.33/28.20 [5628]~P109(x56281)+E(f17(x56281,f328(f328(f310(x56281),x56282),f190(f918(x56281,a905)))),x56282)
% 28.33/28.20 [5629]~P10(x56291)+E(f40(x56291,f328(f328(f310(x56291),x56292),f190(f918(x56291,a905)))),x56292)
% 28.33/28.20 [5630]~P10(x56301)+E(f41(x56301,f328(f328(f310(x56301),x56302),f190(f918(x56301,a905)))),x56302)
% 28.33/28.20 [5652]E(f328(f328(f83(a911),x56521),f328(f328(f3(a911),x56522),x56521)),x56522)+P107(f328(f328(f240(a911),x56522),x56521))
% 28.33/28.20 [5688]E(x56881,f117(x56882))+P107(f328(f328(f240(a911),f2(a911)),f328(f191(f912(x56882)),x56881)))
% 28.33/28.20 [5814]~P109(x58141)+E(f14(x58141,f238(x58141),f328(f328(f310(x58141),x58142),f190(f918(x58141,a905)))),x58142)
% 28.33/28.20 [5815]~P109(x58151)+E(f15(x58151,f243(x58151),f328(f328(f310(x58151),x58152),f190(f918(x58151,a905)))),x58152)
% 28.33/28.20 [5876]E(f328(f328(f83(a911),x58761),f328(f328(f3(a911),x58762),x58761)),x58762)+~P107(f328(f328(f239(a911),x58761),x58762))
% 28.33/28.20 [5877]E(f328(f328(f3(a911),x58771),f328(f328(f3(a911),x58771),x58772)),x58772)+~P107(f328(f328(f239(a911),x58772),x58771))
% 28.33/28.20 [5897]E(f48(a911,f328(f328(f3(a911),x58971),x58972),x58972),f48(a911,x58971,x58972))+P107(f328(f328(f240(a911),x58971),x58972))
% 28.33/28.20 [5898]E(f48(a911,f328(f328(f3(a911),x58981),x58982),x58982),f48(a911,x58981,x58982))+P107(f328(f328(f240(a911),x58981),x58982))
% 28.33/28.20 [5909]E(f328(f82(a1),f328(f328(f39(a1),x59091),f328(f82(a1),x59092))),f293(x59091,x59092))+P107(f328(f328(f239(a1),f2(a1)),x59092))
% 28.33/28.20 [5911]~E(x59112,f2(a911))+P107(f328(f328(f240(a911),f2(a911)),f328(f328(f248(a911),x59111),x59112)))
% 28.33/28.20 [5967]~P94(x59671)+E(f328(f328(f83(x59671),f328(f82(x59671),f81(x59671))),f328(f108(x59671),x59672)),f328(f108(x59671),f328(f328(f83(a1),x59672),a101)))
% 28.33/28.20 [5968]E(f328(f328(f248(a911),f328(f108(a911),x59681)),x59682),f328(f328(f248(a911),f2(a911)),x59682))+~P107(f328(a195,f328(f108(a1),x59681)))
% 28.33/28.20 [6070]E(f328(f143(a911),f141(a911,f328(f303(a911,x60701),x60702))),x60701)+~P107(f328(f328(f240(a911),x60701),x60702))
% 28.33/28.20 [6087]E(f328(f328(f84(a911),f328(f108(a911),x60871)),f328(f108(a911),x60872)),f328(f108(a911),f328(f328(f84(a1),x60871),x60872)))+P107(f328(f328(f240(a1),x60871),a86))
% 28.33/28.20 [6093]~P126(x60931)+P107(f328(f328(f239(x60931),f2(x60931)),f328(f328(f84(x60931),x60932),x60932)))
% 28.33/28.20 [6105]E(f328(f328(f3(a911),f328(a116,x61051)),x61052),f328(a116,f328(f328(f3(a911),x61051),x61052)))+~P107(f328(f328(f239(a911),x61052),x61051))
% 28.33/28.20 [6108]E(f48(a911,f328(f328(f3(a911),x61081),x61082),x61082),f48(a911,x61081,x61082))+~P107(f328(f328(f239(a911),x61082),x61081))
% 28.33/28.20 [6161]E(f328(f328(f248(a911),f328(a109,x61611)),x61612),f328(a109,f328(f328(f248(a1),x61611),x61612)))+~P107(f328(f328(f239(a1),f2(a1)),x61611))
% 28.33/28.20 [6162]E(f328(f328(f248(a911),f328(a109,x61621)),x61622),f328(a109,f328(f328(f248(a1),x61621),x61622)))+~P107(f328(f328(f239(a1),f2(a1)),x61621))
% 28.33/28.20 [6180]P107(f328(f139(x61801),x61802))+P107(f328(f328(f240(a911),f527(x61802,x61801)),f328(f191(f912(x61801)),x61802)))
% 28.33/28.20 [6181]P107(f328(f139(x61811),x61812))+P107(f328(f328(f240(a911),f598(x61812,x61811)),f328(f191(f912(x61811)),x61812)))
% 28.33/28.20 [6197]~E(x61971,f117(x61972))+~P107(f328(f328(f240(a911),f2(a911)),f328(f191(f912(x61972)),x61971)))
% 28.33/28.20 [6208]E(f146(a911,f141(a911,f328(f303(a911,x62081),x62082))),f328(f328(f3(a911),x62082),f81(a911)))+~P107(f328(f328(f240(a911),x62081),x62082))
% 28.33/28.20 [6211]E(f328(f328(f83(a1),x62111),f328(f104(a1),f328(a116,f545(x62112,x62111)))),x62112)+~P107(f328(f328(f240(a1),x62111),x62112))
% 28.33/28.20 [6218]E(x62181,f2(a911))+E(f328(f328(f84(a911),x62182),f328(f328(f248(a911),x62182),f328(f328(f3(a911),x62181),f81(a911)))),f328(f328(f248(a911),x62182),x62181))
% 28.33/28.20 [6246]E(f328(f328(f84(a911),f328(a109,x62461)),f328(a109,x62462)),f328(a109,f328(f328(f84(a1),x62461),x62462)))+~P107(f328(f328(f239(a1),f2(a1)),x62461))
% 28.33/28.20 [6247]E(f328(f328(f39(a911),f328(a109,x62471)),f328(a109,x62472)),f328(a109,f328(f328(f39(a1),x62471),x62472)))+~P107(f328(f328(f239(a1),f2(a1)),x62471))
% 28.33/28.20 [6261]~P114(x62611)+E(f328(f328(f83(x62611),x62612),x62612),f328(f328(f84(x62611),f328(f328(f83(x62611),f81(x62611)),f81(x62611))),x62612))
% 28.33/28.20 [6283]E(f328(f328(f3(a1),f328(f104(a1),x62831)),f328(f104(a1),x62832)),f328(f104(a1),f328(f328(f3(a911),x62831),x62832)))+~P107(f328(f328(f239(a911),x62832),x62831))
% 28.33/28.20 [6285]E(f328(f328(f256(a1,a1),f328(f108(a1),a101)),f328(f328(f83(a1),x62851),x62852)),f53(x62851,x62852))+~P107(f328(f328(f239(a1),x62852),f2(a1)))
% 28.33/28.20 [6316]E(f181(x63161,x63162),f117(f912(x63161)))+P107(f328(f328(f330(f912(x63161)),f607(x63162,x63161)),f328(f174(f912(x63161)),x63162)))
% 28.33/28.20 [6325]E(f120(a1,f328(f132(a1),x63251),f131(x63252,f328(f328(f83(a1),x63251),f81(a1)))),f131(x63252,x63251))+P107(f328(f328(f240(a1),x63252),x63251))
% 28.33/28.20 [6399]E(f328(f328(f153(a1),x63991),f180(f328(f328(f83(a1),x63991),f81(a1)),x63992)),f180(x63991,x63992))+~P107(f328(f328(f239(a1),x63991),x63992))
% 28.33/28.20 [6438]~P107(f328(f328(f240(a911),x64382),x64381))+P107(f328(f328(f240(a911),f2(a911)),f328(f328(f3(a911),x64381),x64382)))
% 28.33/28.20 [6469]~P107(f328(f328(f240(a911),x64691),f328(a109,x64692)))+P107(f328(f328(f240(a1),f328(f104(a1),x64691)),x64692))
% 28.33/28.20 [6497]~P109(x64971)+E(f328(f328(f105(f918(x64971,a905)),f328(f284(x64971),x64972)),f328(f328(f310(x64971),x64972),f190(f918(x64971,a905)))),f328(f302(x64971),x64972))
% 28.33/28.20 [6498]~P107(f328(f328(f240(a911),f2(a911)),x64982))+P107(f328(f328(f240(a911),f2(a911)),f328(f328(f83(a911),x64981),x64982)))
% 28.33/28.20 [6499]~P107(f328(f328(f240(a911),f2(a911)),x64991))+P107(f328(f328(f240(a911),f2(a911)),f328(f328(f83(a911),x64991),x64992)))
% 28.33/28.20 [6500]~P107(f328(f328(f240(a911),f2(a911)),x65001))+P107(f328(f328(f240(a911),f2(a911)),f328(f328(f248(a911),x65001),x65002)))
% 28.33/28.20 [6501]~P107(f328(f328(f239(a1),f2(a1)),x65011))+P107(f328(f328(f239(a1),f2(a1)),f328(f328(f248(a1),x65011),x65012)))
% 28.33/28.20 [6529]~E(f328(x65291,f2(a911)),f2(a911))+E(f328(f328(f8(a911,a911),x65291),f304(a911,f328(a116,f2(a911)),x65292)),f328(f328(f8(a911,a911),x65291),f304(a911,f2(a911),x65292)))
% 28.33/28.20 [6594]~P94(x65941)+E(f328(f328(f84(x65941),f328(f328(f83(x65941),f81(x65941)),f81(x65941))),f328(f108(x65941),x65942)),f328(f108(x65941),f328(f328(f83(a1),x65942),x65942)))
% 28.33/28.20 [6609]E(f328(f328(f310(a1),x66091),f304(a1,f328(f328(f83(a1),x66091),f81(a1)),x66092)),f304(a1,x66091,x66092))+P107(f328(f328(f240(a1),x66092),x66091))
% 28.33/28.20 [6610]P107(f328(f328(f240(a911),x66101),f328(a109,x66102)))+~P107(f328(f328(f240(a1),f328(f104(a1),x66101)),x66102))
% 28.33/28.20 [6715]E(f328(a109,f328(f328(f39(a1),f328(f108(a1),x67151)),f328(f108(a1),x67152))),f328(f328(f39(a911),f328(f108(a911),x67151)),f328(f108(a911),x67152)))+P107(f328(a195,f328(f108(a1),x67151)))
% 28.33/28.20 [6716]E(f328(a109,f328(f328(f248(a1),f328(f108(a1),x67161)),f328(f108(a911),x67162))),f328(f328(f248(a911),f328(f108(a911),x67161)),f328(f108(a911),x67162)))+P107(f328(a195,f328(f108(a1),x67161)))
% 28.33/28.20 [6773]P107(f328(f328(f240(a911),x67731),x67732))+~P107(f328(f328(f240(a911),f2(a911)),f328(f328(f3(a911),x67732),x67731)))
% 28.33/28.20 [6816]P107(f328(f328(f240(a911),f2(a911)),x68161))+~P107(f328(f328(f240(a911),f2(a911)),f328(f328(f84(a911),x68162),x68161)))
% 28.33/28.20 [6817]P107(f328(f328(f240(a911),f2(a911)),x68171))+~P107(f328(f328(f240(a911),f2(a911)),f328(f328(f84(a911),x68171),x68172)))
% 28.33/28.20 [6832]E(f141(a911,f328(f303(a911,f328(f108(a911),x68321)),f328(f108(a911),x68322))),f117(a911))+P107(f328(f328(f240(a911),f328(f108(a911),x68321)),f328(f108(a911),x68322)))
% 28.33/28.20 [6834]~P107(f328(f328(f239(a1),x68341),f2(a1)))+E(f328(f328(f84(a911),f328(a109,f328(f82(a1),x68341))),f328(a109,f328(f82(a1),x68342))),f328(a109,f328(f328(f84(a1),x68341),x68342)))
% 28.33/28.20 [6889]~E(x68892,f190(f918(x68891,a905)))+P107(f328(f328(f239(f918(x68891,a905)),x68892),f328(f82(f918(x68891,a905)),x68892)))
% 28.33/28.20 [6952]~P94(x69521)+E(f328(f328(f83(x69521),f328(f328(f83(x69521),f2(x69521)),f328(f108(x69521),x69522))),f328(f108(x69521),x69522)),f328(f108(x69521),f328(f328(f83(a1),x69522),x69522)))
% 28.33/28.20 [7005]~P107(f328(f328(f240(a1),x70051),x70052))+P107(f328(f328(f239(a1),f328(f328(f83(a1),x70051),f81(a1))),x70052))
% 28.33/28.20 [7006]~P107(f328(f328(f240(a1),x70061),x70062))+P107(f328(f328(f239(a1),f328(f328(f83(a1),x70061),f81(a1))),x70062))
% 28.33/28.20 [7073]E(x70731,f2(a911))+~P107(f328(f328(f239(a1),f328(f104(a1),x70732)),f328(f82(a1),f328(f104(a1),x70731))))
% 28.33/28.20 [7074]E(x70741,f2(a911))+~P107(f328(f328(f239(a1),f328(f104(a1),x70741)),f328(f82(a1),f328(f104(a1),x70742))))
% 28.33/28.20 [7173]E(f328(f328(f256(a1,a1),f328(f108(a1),a101)),f328(f328(f83(a1),x71731),x71732)),f53(x71731,x71732))+~P107(f328(f328(f239(a1),f2(a1)),f328(f328(f83(a1),x71731),x71732)))
% 28.33/28.20 [7217]~P32(x72171,x72172)+P43(x72171,f328(f255(f918(f917(x72171,x72171),a905),f918(f917(x72171,x72171),a905)),x72172))
% 28.33/28.20 [7235]~P107(f328(f328(f239(a911),f328(a116,f2(a911))),x72351))+P107(f328(f328(f239(a911),f328(a116,f2(a911))),f328(f328(f248(a911),x72351),x72352)))
% 28.33/28.20 [7408]~P107(f328(f328(f240(a1),x74081),x74082))+P107(f328(f328(f240(a1),f328(f328(f83(a1),x74081),x74081)),f328(f328(f83(a1),x74082),x74082)))
% 28.33/28.20 [7409]~P107(f328(f328(f240(a1),x74091),x74092))+P107(f328(f328(f240(a1),f328(f328(f83(a1),x74091),x74091)),f328(f328(f83(a1),x74092),x74092)))
% 28.33/28.20 [7420]~P107(f328(f328(f239(a1),x74201),x74202))+P107(f328(f328(f239(a1),f328(f328(f83(a1),x74201),x74201)),f328(f328(f83(a1),x74202),x74202)))
% 28.33/28.20 [7421]~P107(f328(f328(f239(a1),x74211),x74212))+P107(f328(f328(f239(a1),f328(f328(f83(a1),x74211),x74211)),f328(f328(f83(a1),x74212),x74212)))
% 28.33/28.20 [7482]~P107(f328(f328(f240(a911),f2(a911)),x74821))+P107(f328(f328(f240(a911),f328(f328(f3(a911),x74821),f328(a116,x74822))),x74821))
% 28.33/28.20 [7514]P107(f328(f328(f239(a911),f328(a116,f2(a911))),x75141))+~P107(f328(f328(f239(a911),f328(a116,f2(a911))),f328(f328(f84(a911),x75142),x75141)))
% 28.33/28.20 [7515]P107(f328(f328(f239(a911),f328(a116,f2(a911))),x75151))+~P107(f328(f328(f239(a911),f328(a116,f2(a911))),f328(f328(f84(a911),x75151),x75152)))
% 28.33/28.20 [7519]P107(f328(f328(f239(a911),f328(f328(f166(a911),x75191),x75192)),f328(f167(a911),x75191)))+~P107(f328(f328(f240(a911),x75192),f328(f191(f912(a911)),x75191)))
% 28.33/28.20 [7560]P107(f328(f328(f240(a1),x75601),x75602))+~P107(f328(f328(f239(a1),f328(f328(f83(a1),x75601),f81(a1))),x75602))
% 28.33/28.20 [7569]~P107(f328(f328(f330(a911),x75691),x75692))+P107(f328(f328(f330(a1),f328(f104(a1),x75691)),f328(f311(a911,a1,f104(a1)),x75692)))
% 28.33/28.20 [7606]P107(f328(f64(x76061),f246(f918(x76061,a905))))+~P107(f328(f64(f918(x76062,x76061)),f246(f918(f918(x76062,x76061),a905))))
% 28.33/28.20 [7607]P107(f328(f64(x76071),f246(f918(x76071,a905))))+~P107(f328(f64(f919(x76072,x76071)),f246(f918(f919(x76072,x76071),a905))))
% 28.33/28.20 [7608]P107(f328(f64(x76081),f246(f918(x76081,a905))))+~P107(f328(f64(f919(x76081,x76082)),f246(f918(f919(x76081,x76082),a905))))
% 28.33/28.20 [7647]E(x76471,f190(f918(x76472,a905)))+~P107(f328(f328(f239(f918(x76472,a905)),x76471),f328(f82(f918(x76472,a905)),x76471)))
% 28.33/28.20 [7784]E(f328(f144(f912(x77841),f912(x77841),f136(x77841),f117(x77841)),x77842),f117(x77841))+P107(f328(f328(f330(f912(x77841)),f648(x77842,x77841)),f328(f174(f912(x77841)),x77842)))
% 28.33/28.20 [7785]E(f328(f144(f912(x77851),f912(x77851),f136(x77851),f117(x77851)),x77852),f117(x77851))+P107(f328(f328(f330(f912(x77851)),f649(x77852,x77851)),f328(f174(f912(x77851)),x77852)))
% 28.33/28.20 [7924]E(f181(x79241,f328(f328(f153(f912(x79241)),f117(x79241)),x79242)),f181(x79241,x79242))+~P107(f328(f316(f912(f912(x79241)),f182(x79241)),f328(f328(f153(f912(x79241)),f117(x79241)),x79242)))
% 28.33/28.20 [8026]P107(f328(f328(f240(a1),x80261),x80262))+~P107(f328(f328(f240(a1),f328(f328(f83(a1),x80261),x80261)),f328(f328(f83(a1),x80262),x80262)))
% 28.33/28.20 [8027]P107(f328(f328(f240(a1),x80271),x80272))+~P107(f328(f328(f240(a1),f328(f328(f83(a1),x80271),x80271)),f328(f328(f83(a1),x80272),x80272)))
% 28.33/28.20 [8029]P107(f328(f328(f239(a1),x80291),x80292))+~P107(f328(f328(f239(a1),f328(f328(f83(a1),x80291),x80291)),f328(f328(f83(a1),x80292),x80292)))
% 28.33/28.20 [8030]P107(f328(f328(f239(a1),x80301),x80302))+~P107(f328(f328(f239(a1),f328(f328(f83(a1),x80301),x80301)),f328(f328(f83(a1),x80302),x80302)))
% 28.33/28.20 [8125]~P114(x81251)+E(f328(f328(f84(x81251),f328(f328(f83(x81251),f81(x81251)),f81(x81251))),f328(f328(f8(a911,x81251),f104(x81251)),f304(a911,f81(a911),x81252))),f328(f328(f84(x81251),f328(f104(x81251),x81252)),f328(f328(f83(x81251),f328(f104(x81251),x81252)),f81(x81251))))
% 28.33/28.20 [8165]E(f328(f328(f153(a1),f328(f108(a1),x81651)),f180(f328(f328(f83(a1),f328(f108(a1),x81651)),f81(a1)),f328(f108(a1),x81652))),f180(f328(f108(a1),x81651),f328(f108(a1),x81652)))+~P107(f328(f328(f239(a1),f328(f108(a1),x81651)),f328(f108(a1),x81652)))
% 28.33/28.20 [8182]P107(f328(f328(f330(a911),x81821),x81822))+~P107(f328(f328(f330(a1),f328(f104(a1),x81821)),f328(f311(a911,a1,f104(a1)),x81822)))
% 28.33/28.20 [8339]~P107(f328(f64(x83391),x83392))+E(f328(f311(a911,x83391,f547(x83392,x83391)),f328(f266(a911),f328(f328(f9(a911,a911,a905),f240(a911)),f548(x83392,x83391)))),x83392)
% 28.33/28.20 [8626]P60(x86261,x86262)+P107(f328(f328(f330(f917(x86261,x86261)),f328(f328(f256(x86261,x86261),f336(x86262,x86261)),f336(x86262,x86261))),x86262))
% 28.33/28.20 [8627]P44(x86271,x86272)+P107(f328(f328(f330(f917(x86271,x86271)),f328(f328(f256(x86271,x86271),f822(x86272,x86271)),f826(x86272,x86271))),x86272))
% 28.33/28.20 [8628]P44(x86281,x86282)+P107(f328(f328(f330(f917(x86281,x86281)),f328(f328(f256(x86281,x86281),f826(x86282,x86281)),f827(x86282,x86281))),x86282))
% 28.33/28.20 [8629]P45(x86291,x86292)+P107(f328(f328(f330(f917(x86291,x86291)),f328(f328(f256(x86291,x86291),f689(x86292,x86291)),f688(x86292,x86291))),x86292))
% 28.33/28.20 [8630]P45(x86301,x86302)+P107(f328(f328(f330(f917(x86301,x86301)),f328(f328(f256(x86301,x86301),f688(x86302,x86301)),f689(x86302,x86301))),x86302))
% 28.33/28.20 [8631]P58(x86311,x86312)+P107(f328(f328(f330(f917(x86311,x86311)),f328(f328(f256(x86311,x86311),f830(x86312,x86311)),f831(x86312,x86311))),x86312))
% 28.33/28.20 [8771]~P94(x87711)+E(f328(f328(f3(x87711),f81(x87711)),f328(f108(x87711),x87712)),f328(f108(x87711),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f82(a1),x87712))))
% 28.33/28.20 [8888]~P107(f328(f328(f240(f918(a911,a905)),x88881),x88882))+P107(f328(f328(f240(f918(a1,a905)),f328(f311(a911,a1,f104(a1)),x88881)),f328(f311(a911,a1,f104(a1)),x88882)))
% 28.33/28.20 [8889]~P107(f328(f328(f239(f918(a911,a905)),x88891),x88892))+P107(f328(f328(f239(f918(a1,a905)),f328(f311(a911,a1,f104(a1)),x88891)),f328(f311(a911,a1,f104(a1)),x88892)))
% 28.33/28.20 [8920]~P107(f328(f328(f240(a1),x89201),x89202))+P107(f328(f328(f240(a1),f328(f328(f3(a1),f328(f328(f83(a1),x89201),x89201)),a101)),f328(f328(f83(a1),x89202),x89202)))
% 28.33/28.20 [8921]~P107(f328(f328(f240(a1),x89211),x89212))+P107(f328(f328(f240(a1),f328(f328(f3(a1),f328(f328(f83(a1),x89211),x89211)),a101)),f328(f328(f83(a1),x89212),x89212)))
% 28.33/28.20 [8922]~P107(f328(f328(f240(a1),x89221),x89222))+P107(f328(f328(f239(a1),f328(f328(f3(a1),f328(f328(f83(a1),x89221),x89221)),a101)),f328(f328(f83(a1),x89222),x89222)))
% 28.33/28.20 [8923]~P107(f328(f328(f240(a1),x89231),x89232))+P107(f328(f328(f239(a1),f328(f328(f3(a1),f328(f328(f83(a1),x89231),x89231)),a101)),f328(f328(f83(a1),x89232),x89232)))
% 28.33/28.20 [8993]~P107(f328(f328(f330(a911),x89931),f328(f174(a911),x89932)))+P107(f328(f328(f239(a911),x89931),f328(f144(a911,a911,f83(a911),f2(a911)),x89932)))
% 28.33/28.20 [9084]P53(x90841,x90842)+~P107(f328(f328(f330(f917(x90841,x90841)),f328(f328(f256(x90841,x90841),f884(x90842,x90841)),f884(x90842,x90841))),x90842))
% 28.33/28.20 [9085]P44(x90851,x90852)+~P107(f328(f328(f330(f917(x90851,x90851)),f328(f328(f256(x90851,x90851),f822(x90852,x90851)),f827(x90852,x90851))),x90852))
% 28.33/28.20 [9086]P58(x90861,x90862)+~P107(f328(f328(f330(f917(x90861,x90861)),f328(f328(f256(x90861,x90861),f831(x90862,x90861)),f830(x90862,x90861))),x90862))
% 28.33/28.20 [9224]~P107(f328(f328(f240(f918(a1,a905)),f328(f311(a911,a1,f104(a1)),x92241)),f328(f311(a911,a1,f104(a1)),x92242)))+P107(f328(f328(f240(f918(a911,a905)),x92241),x92242))
% 28.33/28.20 [9225]~P107(f328(f328(f239(f918(a1,a905)),f328(f311(a911,a1,f104(a1)),x92251)),f328(f311(a911,a1,f104(a1)),x92252)))+P107(f328(f328(f239(f918(a911,a905)),x92251),x92252))
% 28.33/28.20 [9316]P107(f328(f328(f240(a1),x93161),x93162))+~P107(f328(f328(f240(a1),f328(f328(f3(a1),f328(f328(f83(a1),x93161),x93161)),a101)),f328(f328(f83(a1),x93162),x93162)))
% 28.33/28.20 [9317]P107(f328(f328(f240(a1),x93171),x93172))+~P107(f328(f328(f240(a1),f328(f328(f3(a1),f328(f328(f83(a1),x93171),x93171)),a101)),f328(f328(f83(a1),x93172),x93172)))
% 28.33/28.20 [9318]P107(f328(f328(f240(a1),x93181),x93182))+~P107(f328(f328(f239(a1),f328(f328(f3(a1),f328(f328(f83(a1),x93181),x93181)),a101)),f328(f328(f83(a1),x93182),x93182)))
% 28.33/28.20 [9319]P107(f328(f328(f240(a1),x93191),x93192))+~P107(f328(f328(f239(a1),f328(f328(f3(a1),f328(f328(f83(a1),x93191),x93191)),a101)),f328(f328(f83(a1),x93192),x93192)))
% 28.33/28.20 [10170]~P105(x101701)+E(f120(f912(x101701),f328(f132(f912(x101701)),f117(x101701)),f328(f328(f328(f100(f913(f912(x101701))),f328(f328(f240(a1),f2(a1)),x101702)),f328(f122(f917(x101701,f912(x101701)),f912(x101701),f133(x101701,f912(x101701),f134(x101701,f328(f328(f3(a1),x101702),f81(a1))),f134(f912(x101701),f328(f328(f3(a1),x101702),f81(a1))))),f328(f261(x101701,f912(x101701),f913(f912(x101701))),f328(f328(f10(f918(f912(x101701),f912(x101701)),f918(f912(x101701),f913(f912(x101701))),x101701),f328(f10(f912(x101701),f913(f912(x101701)),f912(x101701)),f132(f912(x101701)))),f153(x101701))))),f119(f912(x101701)))),f134(f912(x101701),x101702))
% 28.33/28.20 [10192]~P107(f328(f64(x101921),x101922))+E(f328(f191(f912(x101921)),f93(f912(x101921),f328(f328(f20(f912(x101921),a905,a905),f328(f328(f10(a905,f918(a905,a905),f912(x101921)),a326),f328(f328(f9(f912(x101921),f918(x101921,a905),a905),f328(f328(f10(f918(x101921,a905),f918(f918(x101921,a905),a905),f912(x101921)),a325),f174(x101921))),x101922))),f139(x101921)))),f218(x101921,x101922))
% 28.33/28.20 [6207]E(f328(f328(f83(a911),f328(f328(f3(a911),x62071),x62072)),x62072),x62071)+~P107(f328(f328(f239(a911),x62072),x62071))
% 28.33/28.20 [6279]E(f328(f328(f39(a911),f328(f328(f84(a911),x62791),x62792)),x62792),x62791)+~P107(f328(f328(f240(a911),f2(a911)),x62792))
% 28.33/28.20 [6280]E(f328(f328(f39(a911),f328(f328(f84(a911),x62801),x62802)),x62801),x62802)+~P107(f328(f328(f240(a911),f2(a911)),x62801))
% 28.33/28.20 [6284]~P76(x62841)+E(f328(f328(f8(a911,x62841),f328(f166(x62841),x62842)),f328(f303(a911,f2(a911)),f328(f191(f912(x62841)),x62842))),f328(f167(x62841),x62842))
% 28.33/28.20 [6391]E(f48(a911,f328(a116,f328(f328(f84(a911),x63911),x63912)),x63911),f81(a911))+~P107(f328(f328(f240(a911),f81(a911)),x63911))
% 28.33/28.20 [6397]E(f328(a116,f328(f328(f83(a911),f328(f108(a911),x63971)),x63972)),f328(f328(f83(a911),f81(a911)),x63972))+~P107(f328(a195,f328(f108(a1),x63971)))
% 28.33/28.20 [6426]E(f328(a109,f328(f328(f248(a1),f328(f108(a1),x64261)),x64262)),f328(f328(f248(a911),f328(f108(a911),x64261)),x64262))+P107(f328(a195,f328(f108(a1),x64261)))
% 28.33/28.20 [6665]E(f328(f328(f3(a911),x66651),f328(f108(a911),f328(f328(f83(a1),x66652),a101))),f328(f328(f3(a911),f328(a116,x66651)),f328(f108(a911),x66652)))+~P107(f328(f328(f240(a1),a86),x66652))
% 28.33/28.20 [6746]E(x67461,f2(a911))+E(f328(a116,f328(f328(f83(a911),f328(f328(f3(a911),x67461),f81(a911))),x67462)),f328(f328(f83(a911),x67461),x67462))
% 28.33/28.20 [6786]E(x67861,f2(a1))+P107(f328(f328(f240(a1),f2(a1)),f328(f328(f248(a1),f328(f79(a1),x67861)),x67862)))
% 28.33/28.20 [6801]~E(x68012,f2(a911))+P107(f328(f328(f240(a1),f2(a1)),f328(f328(f248(a1),f328(f79(a1),x68011)),x68012)))
% 28.33/28.20 [6837]E(x68371,f2(a911))+E(f328(f328(f83(a911),x68372),f328(f328(f84(a911),f328(f328(f3(a911),x68371),f81(a911))),x68372)),f328(f328(f84(a911),x68371),x68372))
% 28.33/28.20 [6882]~P107(f328(f328(f239(a1),x68821),x68822))+P107(f328(f328(f240(a1),f328(f328(f83(a1),x68821),a101)),x68822))
% 28.33/28.20 [7008]E(f328(f328(f153(a911),x70081),f141(a911,f328(f303(a911,f328(a116,x70081)),x70082))),f141(a911,f328(f303(a911,x70081),x70082)))+~P107(f328(f328(f240(a911),x70081),x70082))
% 28.33/28.20 [7009]E(f328(f328(f153(a911),x70091),f141(a911,f328(f303(a911,f328(a116,x70091)),x70092))),f141(a911,f328(f303(a911,x70091),x70092)))+~P107(f328(f328(f240(a911),x70091),x70092))
% 28.33/28.20 [7208]E(x72081,x72082)+~E(f328(f328(f3(a1),f328(f328(f83(a1),x72081),x72081)),a101),f328(f328(f3(a1),f328(f328(f83(a1),x72082),x72082)),a101))
% 28.33/28.20 [7211]E(x72111,f117(x72112))+E(f270(x72112,f328(f328(f156(x72112,f917(a103,x72112)),f328(f256(a103,x72112),f81(a103))),x72111)),f277(x72112,x72111))
% 28.33/28.20 [7448]P107(f328(f328(f239(a1),x74481),x74482))+~P107(f328(f328(f240(a1),f328(f328(f83(a1),x74481),a101)),x74482))
% 28.33/28.20 [7926]~P107(f328(f328(f240(a911),x79261),x79262))+P107(f328(f328(f330(f917(a911,a911)),f328(f328(f256(a911,a911),x79261),x79262)),a244))
% 28.33/28.20 [8154]~P107(f328(f328(f240(a103),f2(a103)),x81541))+P107(f328(f328(f240(a103),f328(f255(a103,f917(a103,a103)),f328(f271(x81541),x81542))),x81541))
% 28.33/28.20 [8421]~P44(x84211,x84212)+P44(x84211,f328(f328(f105(f918(f917(x84211,x84211),a905)),x84212),f308(x84211,f190(f918(f917(x84211,x84211),a905)))))
% 28.33/28.20 [8422]~P45(x84221,x84222)+P45(x84221,f328(f328(f105(f918(f917(x84221,x84221),a905)),x84222),f308(x84221,f190(f918(f917(x84221,x84221),a905)))))
% 28.33/28.20 [8470]~P86(x84701)+P107(f328(f328(f239(x84701),f328(f79(x84701),f328(f167(x84701),x84702))),f328(f167(x84701),f328(f328(f156(x84701,x84701),f79(x84701)),x84702))))
% 28.33/28.20 [8494]P107(f328(f328(f240(a911),x84941),x84942))+~P107(f328(f328(f330(f917(a911,a911)),f328(f328(f256(a911,a911),x84941),x84942)),a244))
% 28.33/28.20 [8653]E(f328(f328(f256(x86531,x86531),f755(x86532,x86531)),f755(x86532,x86531)),x86532)+~P107(f328(f328(f330(f917(x86531,x86531)),x86532),f308(x86531,f190(f918(f917(x86531,x86531),a905)))))
% 28.33/28.20 [8695]E(f328(f303(a911,x86951),f328(f328(f83(a911),x86951),f328(f38(a911),x86952))),x86952)+~P107(f328(f328(f239(f918(a911,a905)),x86952),f328(f303(a911,x86951),f328(f328(f83(a911),x86951),f328(f38(a911),x86952)))))
% 28.33/28.20 [8716]E(f328(f328(f153(a911),f328(f108(a911),x87161)),f141(a911,f328(f303(a911,f328(a116,f328(f108(a911),x87161))),f328(f108(a911),x87162)))),f141(a911,f328(f303(a911,f328(f108(a911),x87161)),f328(f108(a911),x87162))))+~P107(f328(f328(f240(a911),f328(f108(a911),x87161)),f328(f108(a911),x87162)))
% 28.33/28.20 [8914]P45(x89141,x89142)+~P45(x89141,f328(f328(f105(f918(f917(x89141,x89141),a905)),x89142),f308(x89141,f190(f918(f917(x89141,x89141),a905)))))
% 28.33/28.20 [9038]E(f328(f328(f39(a1),f328(f108(a1),f328(f328(f3(a1),f328(f328(f83(a1),x90381),x90381)),a101))),f328(f108(a1),f328(f328(f83(a1),x90382),x90382))),f328(f328(f39(a1),f328(f108(a1),x90381)),f328(f108(a1),x90382)))+~P107(f328(f328(f239(a1),f2(a1)),f328(f108(a1),x90382)))
% 28.33/28.20 [9127]~P44(x91271,x91272)+P107(f328(f328(f239(f918(f917(x91271,x91271),a905)),f328(f328(f290(x91271,x91271,x91271),x91272),x91272)),x91272))
% 28.33/28.20 [9154]E(f179(f912(x91541),f328(f328(f10(a905,a905,f912(x91541)),a323),f328(f328(f9(f912(x91541),f912(x91541),a905),a325),f117(x91541))),x91542),f181(x91541,f181(x91541,x91542)))+~P18(a911,f328(f170(a911),f328(f328(f156(f912(x91541),a911),f191(f912(x91541))),x91542)))
% 28.33/28.20 [9157]E(f328(f328(f39(a1),f328(f108(a1),f328(f328(f3(a1),f328(f328(f83(a1),x91571),x91571)),a101))),f328(f108(a1),f328(f328(f83(a1),x91572),x91572))),f328(f328(f39(a1),f328(f328(f83(a1),f328(f108(a1),x91571)),f81(a1))),f328(f108(a1),x91572)))+P107(f328(f328(f239(a1),f2(a1)),f328(f108(a1),x91572)))
% 28.33/28.20 [9981]P107(f328(a195,x99812))+E(f328(f328(f89(a1,a911),f328(f328(f3(a1),x99811),x99812)),f328(f328(f20(a1,a911,a911),f328(f328(f9(a1,a911,f918(a911,a911)),f328(f328(f10(a905,f918(a911,f918(a911,a911)),a1),f100(a911)),a195)),f2(a911))),a109)),f328(f328(f3(a911),f328(a109,x99811)),f328(a109,x99812)))
% 28.33/28.20 [9989]E(f328(f328(f89(a1,a911),f328(f108(a1),f328(f328(f83(a1),x99891),f328(f82(a1),x99892)))),f328(f328(f20(a1,a911,a911),f328(f328(f9(a1,a911,f918(a911,a911)),f328(f328(f10(a905,f918(a911,f918(a911,a911)),a1),f100(a911)),a195)),f2(a911))),a109)),f328(f328(f3(a911),f328(f108(a911),x99891)),f328(f108(a911),x99892)))+P107(f328(f328(f240(a1),x99892),a86))
% 28.33/28.20 [9990]~P32(x99901,x99902)+P107(f328(f328(f239(f918(f917(x99901,x99901),a905)),f328(f328(f290(x99901,x99901,x99901),f328(f255(f918(f917(x99901,x99901),a905),f918(f917(x99901,x99901),a905)),x99902)),f328(f260(f918(f917(x99901,x99901),a905),f918(f917(x99901,x99901),a905)),x99902))),f328(f255(f918(f917(x99901,x99901),a905),f918(f917(x99901,x99901),a905)),x99902)))
% 28.33/28.20 [10046]~E(f328(f38(a911),f328(f266(a911),f328(f328(f20(a911,a905,a905),f328(f328(f10(a905,f918(a905,a905),a911),a326),f328(f328(f9(a911,f918(a911,a905),a905),f330(a911)),x100461))),f328(f328(f9(a911,a911,a905),f240(a911)),f328(a116,x100462))))),f2(a911))+~P107(f328(f328(f330(a911),f2(a911)),x100461))
% 28.33/28.20 [10101]E(f48(a1,f328(f108(a1),f328(f328(f3(a1),f328(f328(f83(a1),x101011),x101011)),a101)),f328(f108(a1),f328(f328(f83(a1),x101012),x101012))),f328(f328(f83(a1),f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f48(a1,f328(f108(a1),x101011),f328(f108(a1),x101012)))),f81(a1)))+~P107(f328(f328(f239(a1),f2(a1)),f328(f108(a1),x101012)))
% 28.33/28.20 [10110]E(f48(a1,f328(f108(a1),f328(f328(f3(a1),f328(f328(f83(a1),x101101),x101101)),a101)),f328(f108(a1),f328(f328(f83(a1),x101102),x101102))),f328(f328(f3(a1),f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f48(a1,f328(f328(f83(a1),f328(f108(a1),x101101)),f81(a1)),f328(f108(a1),x101102)))),f81(a1)))+P107(f328(f328(f239(a1),f2(a1)),f328(f108(a1),x101102)))
% 28.33/28.20 [10159]~P10(x101591)+E(f40(x101591,f328(f266(x101591),f328(f328(f10(f918(x101591,a905),a905,x101591),f91(x101591)),f328(f328(f10(f918(x101591,a905),f918(x101591,a905),x101591),f328(f20(x101591,a905,a905),f328(f328(f10(a905,f918(a905,a905),x101591),a331),f328(f328(f9(x101591,f918(x101591,a905),a905),f330(x101591)),x101592)))),f239(x101591))))),f41(x101591,x101592))
% 28.33/28.20 [10185]~P43(x101851,x101852)+P66(x101851,f328(f328(f9(x101851,f918(f917(x101851,x101851),a905),f918(x101851,a905)),f328(f328(f10(f918(x101851,f918(f918(f917(x101851,x101851),a905),a905)),f918(f918(f917(x101851,x101851),a905),f918(x101851,a905)),x101851),f9(x101851,f918(f917(x101851,x101851),a905),a905)),f328(f328(f10(f918(x101851,f917(x101851,x101851)),f918(x101851,f918(f918(f917(x101851,x101851),a905),a905)),x101851),f328(f10(f917(x101851,x101851),f918(f918(f917(x101851,x101851),a905),a905),x101851),f330(f917(x101851,x101851)))),f256(x101851,x101851)))),x101852))
% 28.33/28.20 [10186]~P13(x101861,f246(f918(x101861,a905)),x101862)+P12(x101861,f328(f328(f9(x101861,f918(f917(x101861,x101861),a905),f918(x101861,a905)),f328(f328(f10(f918(x101861,f918(f918(f917(x101861,x101861),a905),a905)),f918(f918(f917(x101861,x101861),a905),f918(x101861,a905)),x101861),f9(x101861,f918(f917(x101861,x101861),a905),a905)),f328(f328(f10(f918(x101861,f917(x101861,x101861)),f918(x101861,f918(f918(f917(x101861,x101861),a905),a905)),x101861),f328(f10(f917(x101861,x101861),f918(f918(f917(x101861,x101861),a905),a905),x101861),f330(f917(x101861,x101861)))),f256(x101861,x101861)))),x101862))
% 28.33/28.20 [10229]P43(x102291,x102292)+~P66(x102291,f328(f328(f9(x102291,f918(f917(x102291,x102291),a905),f918(x102291,a905)),f328(f328(f10(f918(x102291,f918(f918(f917(x102291,x102291),a905),a905)),f918(f918(f917(x102291,x102291),a905),f918(x102291,a905)),x102291),f9(x102291,f918(f917(x102291,x102291),a905),a905)),f328(f328(f10(f918(x102291,f917(x102291,x102291)),f918(x102291,f918(f918(f917(x102291,x102291),a905),a905)),x102291),f328(f10(f917(x102291,x102291),f918(f918(f917(x102291,x102291),a905),a905),x102291),f330(f917(x102291,x102291)))),f256(x102291,x102291)))),x102292))
% 28.33/28.20 [10230]P13(x102301,f246(f918(x102301,a905)),x102302)+~P12(x102301,f328(f328(f9(x102301,f918(f917(x102301,x102301),a905),f918(x102301,a905)),f328(f328(f10(f918(x102301,f918(f918(f917(x102301,x102301),a905),a905)),f918(f918(f917(x102301,x102301),a905),f918(x102301,a905)),x102301),f9(x102301,f918(f917(x102301,x102301),a905),a905)),f328(f328(f10(f918(x102301,f917(x102301,x102301)),f918(x102301,f918(f918(f917(x102301,x102301),a905),a905)),x102301),f328(f10(f917(x102301,x102301),f918(f918(f917(x102301,x102301),a905),a905),x102301),f330(f917(x102301,x102301)))),f256(x102301,x102301)))),x102302))
% 28.33/28.20 [7396]E(f328(f328(f83(a911),f328(f108(a911),f328(f328(f3(a1),x73961),a101))),x73962),f328(a116,f328(f328(f83(a911),f328(f108(a911),x73961)),x73962)))+P107(f328(a195,f328(f108(a1),x73961)))
% 28.33/28.20 [7841]~P94(x78411)+E(f328(f328(f83(x78411),f328(f328(f83(x78411),f81(x78411)),f328(f108(x78411),x78412))),f328(f108(x78411),x78412)),f328(f108(x78411),f328(f328(f3(a1),f328(f328(f83(a1),x78412),x78412)),a101)))
% 28.33/28.20 [8495]~P107(f328(f328(f239(a1),x84951),x84952))+P107(f328(f328(f240(a1),f328(f328(f83(a1),x84951),x84951)),f328(f328(f3(a1),f328(f328(f83(a1),x84952),x84952)),a101)))
% 28.33/28.20 [8496]~P107(f328(f328(f239(a1),x84961),x84962))+P107(f328(f328(f240(a1),f328(f328(f83(a1),x84961),x84961)),f328(f328(f3(a1),f328(f328(f83(a1),x84962),x84962)),a101)))
% 28.33/28.20 [8497]~P107(f328(f328(f239(a1),x84971),x84972))+P107(f328(f328(f239(a1),f328(f328(f83(a1),x84971),x84971)),f328(f328(f3(a1),f328(f328(f83(a1),x84972),x84972)),a101)))
% 28.33/28.20 [8498]~P107(f328(f328(f239(a1),x84981),x84982))+P107(f328(f328(f239(a1),f328(f328(f83(a1),x84981),x84981)),f328(f328(f3(a1),f328(f328(f83(a1),x84982),x84982)),a101)))
% 28.33/28.20 [8924]P107(f328(f328(f239(a1),x89241),x89242))+~P107(f328(f328(f240(a1),f328(f328(f83(a1),x89241),x89241)),f328(f328(f3(a1),f328(f328(f83(a1),x89242),x89242)),a101)))
% 28.33/28.20 [8925]P107(f328(f328(f239(a1),x89251),x89252))+~P107(f328(f328(f240(a1),f328(f328(f83(a1),x89251),x89251)),f328(f328(f3(a1),f328(f328(f83(a1),x89252),x89252)),a101)))
% 28.33/28.20 [8926]P107(f328(f328(f239(a1),x89261),x89262))+~P107(f328(f328(f239(a1),f328(f328(f83(a1),x89261),x89261)),f328(f328(f3(a1),f328(f328(f83(a1),x89262),x89262)),a101)))
% 28.33/28.20 [8927]P107(f328(f328(f239(a1),x89271),x89272))+~P107(f328(f328(f239(a1),f328(f328(f83(a1),x89271),x89271)),f328(f328(f3(a1),f328(f328(f83(a1),x89272),x89272)),a101)))
% 28.33/28.20 [9212]~P107(f328(f328(f240(a1),x92121),x92122))+P107(f328(f328(f240(a1),f328(f328(f3(a1),f328(f328(f83(a1),x92121),x92121)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),x92122),x92122)),a101)))
% 28.33/28.20 [9213]~P107(f328(f328(f240(a1),x92131),x92132))+P107(f328(f328(f240(a1),f328(f328(f3(a1),f328(f328(f83(a1),x92131),x92131)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),x92132),x92132)),a101)))
% 28.33/28.20 [9214]~P107(f328(f328(f239(a1),x92141),x92142))+P107(f328(f328(f239(a1),f328(f328(f3(a1),f328(f328(f83(a1),x92141),x92141)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),x92142),x92142)),a101)))
% 28.33/28.20 [9215]~P107(f328(f328(f239(a1),x92151),x92152))+P107(f328(f328(f239(a1),f328(f328(f3(a1),f328(f328(f83(a1),x92151),x92151)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),x92152),x92152)),a101)))
% 28.33/28.20 [9480]P107(f328(f328(f240(a1),x94801),x94802))+~P107(f328(f328(f240(a1),f328(f328(f3(a1),f328(f328(f83(a1),x94801),x94801)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),x94802),x94802)),a101)))
% 28.33/28.20 [9481]P107(f328(f328(f240(a1),x94811),x94812))+~P107(f328(f328(f240(a1),f328(f328(f3(a1),f328(f328(f83(a1),x94811),x94811)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),x94812),x94812)),a101)))
% 28.33/28.20 [9482]P107(f328(f328(f239(a1),x94821),x94822))+~P107(f328(f328(f239(a1),f328(f328(f3(a1),f328(f328(f83(a1),x94821),x94821)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),x94822),x94822)),a101)))
% 28.33/28.20 [9483]P107(f328(f328(f239(a1),x94831),x94832))+~P107(f328(f328(f239(a1),f328(f328(f3(a1),f328(f328(f83(a1),x94831),x94831)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),x94832),x94832)),a101)))
% 28.33/28.20 [9515]~P107(f328(f64(x95151),x95152))+P107(f328(f64(f918(x95151,a905)),f328(f266(f918(x95151,a905)),f328(f328(f9(f918(x95151,a905),f918(x95151,a905),a905),f239(f918(x95151,a905))),x95152))))
% 28.33/28.20 [9564]~E(f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),x95641),f190(f918(f917(a911,a911),a905)))),f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),x95642),f190(f918(f917(a911,a911),a905)))))+P107(f328(f328(f330(f917(f917(a911,a911),f917(a911,a911))),f328(f328(f256(f917(a911,a911),f917(a911,a911)),x95641),x95642)),a113))
% 28.33/28.20 [9649]E(f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),x96491),f190(f918(f917(a911,a911),a905)))),f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),x96492),f190(f918(f917(a911,a911),a905)))))+~P107(f328(f328(f330(f917(f917(a911,a911),f917(a911,a911))),f328(f328(f256(f917(a911,a911),f917(a911,a911)),x96491),x96492)),a113))
% 28.33/28.20 [9683]P107(f328(f328(f239(a1),f2(a1)),f778(x96831,x96832)))+E(f328(f266(a1),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a326),f328(f239(a1),f2(a1)))),x96831)),f328(f266(a1),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a326),f328(f239(a1),f2(a1)))),x96832)))
% 28.33/28.20 [10169]~P10(x101691)+E(f41(x101691,f328(f266(x101691),f328(f328(f10(f918(x101691,a905),a905,x101691),f91(x101691)),f328(f328(f10(f918(x101691,a905),f918(x101691,a905),x101691),f328(f20(x101691,a905,a905),f328(f328(f10(a905,f918(a905,a905),x101691),a331),f328(f328(f9(x101691,f918(x101691,a905),a905),f330(x101691)),x101692)))),f328(f9(x101691,x101691,a905),f239(x101691)))))),f40(x101691,x101692))
% 28.33/28.20 [10191]P107(f328(f328(f330(a911),f2(a911)),x101911))+E(f328(f38(a911),f328(f266(a911),f328(f328(f20(a911,a905,a905),f328(f328(f10(a905,f918(a905,a905),a911),a326),f328(f328(f9(a911,f918(a911,a905),a905),f328(f328(f10(a911,f918(f918(a911,a905),a905),a911),f330(a911)),a116)),x101911))),f328(f328(f9(a911,a911,a905),f240(a911)),x101912)))),f328(f38(a911),f328(f266(a911),f328(f328(f20(a911,a905,a905),f328(f328(f10(a905,f918(a905,a905),a911),a326),f328(f328(f9(a911,f918(a911,a905),a905),f330(a911)),x101911))),f328(f328(f9(a911,a911,a905),f240(a911)),f328(a116,x101912))))))
% 28.33/28.20 [7711]~P94(x77111)+E(f328(f328(f84(x77111),x77112),f328(f108(x77111),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))),x77112)
% 28.33/28.20 [7977]~P94(x79771)+E(f328(f328(f83(x79771),f328(f108(x79771),x79772)),f81(x79771)),f328(f108(x79771),f328(f328(f83(a1),x79772),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))
% 28.33/28.20 [8123]P107(f328(f328(f239(a1),f2(a1)),f328(f108(a1),x81232)))+E(f328(f328(f248(a1),x81231),f328(f108(a911),f328(f328(f3(a1),f328(f328(f83(a1),x81232),x81232)),a101))),f81(a1))
% 28.33/28.20 [9539]~P107(f328(f328(f239(a1),f2(a1)),f328(f108(a1),x95392)))+E(f328(f328(f248(a1),x95391),f328(f108(a911),f328(f328(f3(a1),f328(f328(f83(a1),x95392),x95392)),a101))),f328(f328(f89(a1,a1),f328(f328(f248(a1),x95391),f328(f108(a911),x95392))),f328(f328(f20(a1,a1,a1),f328(f328(f10(a1,f918(a1,a1),a1),f84(a1)),f328(f84(a1),x95391))),f7(a1))))
% 28.33/28.20 [9901]~P107(f328(f328(f239(a911),f797(x99012,x99011)),f328(x99011,f797(x99012,x99011))))+P107(f328(f64(a911),f328(f266(a911),f328(f328(f9(a911,a911,a905),f328(f328(f10(a911,f918(a911,a905),a911),f239(a911)),x99011)),x99012))))
% 28.33/28.20 [10036]~P107(f328(f328(f240(a911),f328(f108(a911),x100361)),f328(a116,x100362)))+P107(f328(f328(f89(a1,a905),f328(f108(a1),f328(f328(f83(a1),x100361),a101))),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a331),f328(f328(f10(a905,a905,a1),a323),a195))),f328(f328(f9(a1,a911,a905),f328(f328(f10(a911,f918(a911,a905),a1),f240(a911)),a109)),x100362))))
% 28.33/28.20 [10037]~P107(f328(f328(f239(a911),f328(f108(a911),x100371)),f328(a116,x100372)))+P107(f328(f328(f89(a1,a905),f328(f108(a1),f328(f328(f83(a1),x100371),a101))),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a331),f328(f328(f10(a905,a905,a1),a323),a195))),f328(f328(f9(a1,a911,a905),f328(f328(f10(a911,f918(a911,a905),a1),f239(a911)),a109)),x100372))))
% 28.33/28.20 [10085]P107(f328(f328(f240(a911),f328(f108(a911),x100851)),f328(a116,x100852)))+~P107(f328(f328(f89(a1,a905),f328(f108(a1),f328(f328(f83(a1),x100851),a101))),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a331),f328(f328(f10(a905,a905,a1),a323),a195))),f328(f328(f9(a1,a911,a905),f328(f328(f10(a911,f918(a911,a905),a1),f240(a911)),a109)),x100852))))
% 28.33/28.20 [10086]P107(f328(f328(f239(a911),f328(f108(a911),x100861)),f328(a116,x100862)))+~P107(f328(f328(f89(a1,a905),f328(f108(a1),f328(f328(f83(a1),x100861),a101))),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a331),f328(f328(f10(a905,a905,a1),a323),a195))),f328(f328(f9(a1,a911,a905),f328(f328(f10(a911,f918(a911,a905),a1),f239(a911)),a109)),x100862))))
% 28.33/28.20 [10116]~P107(f328(f328(f240(a911),f328(a116,x101162)),f328(f108(a911),x101161)))+P107(f328(f328(f89(a1,a905),f328(f108(a1),f328(f328(f83(a1),x101161),a101))),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a326),f328(f328(f10(a905,a905,a1),a323),a195))),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a331),f328(f328(f10(a905,a905,a1),a323),a195))),f328(f328(f10(a911,a905,a1),f328(f240(a911),x101162)),a109)))))
% 28.33/28.20 [10117]~P107(f328(f328(f239(a911),f328(a116,x101172)),f328(f108(a911),x101171)))+P107(f328(f328(f89(a1,a905),f328(f108(a1),f328(f328(f83(a1),x101171),a101))),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a326),f328(f328(f10(a905,a905,a1),a323),a195))),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a331),f328(f328(f10(a905,a905,a1),a323),a195))),f328(f328(f10(a911,a905,a1),f328(f239(a911),x101172)),a109)))))
% 28.33/28.20 [10157]P107(f328(f328(f240(a911),f328(a116,x101571)),f328(f108(a911),x101572)))+~P107(f328(f328(f89(a1,a905),f328(f108(a1),f328(f328(f83(a1),x101572),a101))),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a326),f328(f328(f10(a905,a905,a1),a323),a195))),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a331),f328(f328(f10(a905,a905,a1),a323),a195))),f328(f328(f10(a911,a905,a1),f328(f240(a911),x101571)),a109)))))
% 28.33/28.20 [10158]P107(f328(f328(f239(a911),f328(a116,x101581)),f328(f108(a911),x101582)))+~P107(f328(f328(f89(a1,a905),f328(f108(a1),f328(f328(f83(a1),x101582),a101))),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a326),f328(f328(f10(a905,a905,a1),a323),a195))),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a331),f328(f328(f10(a905,a905,a1),a323),a195))),f328(f328(f10(a911,a905,a1),f328(f239(a911),x101581)),a109)))))
% 28.33/28.20 [10239]~P107(f328(f328(f330(a911),f2(a911)),x102391))+E(f328(a116,f328(f38(a911),f328(f266(a911),f328(f328(f20(a911,a905,a905),f328(f328(f10(a905,f918(a905,a905),a911),a326),f328(f328(f9(a911,f918(a911,a905),a905),f328(f328(f10(a911,f918(f918(a911,a905),a905),a911),f330(a911)),a116)),x102391))),f328(f328(f9(a911,a911,a905),f240(a911)),x102392))))),f328(f38(a911),f328(f266(a911),f328(f328(f20(a911,a905,a905),f328(f328(f10(a905,f918(a905,a905),a911),a326),f328(f328(f9(a911,f918(a911,a905),a905),f330(a911)),x102391))),f328(f328(f9(a911,a911,a905),f240(a911)),f328(a116,x102392))))))
% 28.33/28.20 [8679]~P94(x86791)+E(f328(f328(f84(x86791),f328(f108(x86791),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))),x86792),x86792)
% 28.33/28.20 [8737]~P94(x87371)+E(f328(f328(f83(x87371),f81(x87371)),f328(f108(x87371),x87372)),f328(f108(x87371),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),x87372)))
% 28.33/28.20 [8799]~P94(x87991)+E(f328(f328(f3(x87991),f328(f108(x87991),x87992)),f81(x87991)),f328(f108(x87991),f328(f328(f83(a1),x87992),f328(f82(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))
% 28.33/28.20 [8942]~P107(f328(f328(f240(a911),f328(f108(a911),a86)),x89422))+E(f328(f328(f3(a911),x89421),f328(f328(f3(a911),x89422),f328(f108(a911),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f328(f328(f3(a911),f328(a116,x89421)),x89422))
% 28.33/28.20 [9582]~P114(x95821)+E(f328(f328(f84(x95821),x95822),x95822),f328(f328(f248(x95821),x95822),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))
% 28.33/28.20 [9583]~P84(x95831)+E(f328(f328(f248(x95831),x95832),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f328(f328(f84(x95831),x95832),x95832))
% 28.33/28.20 [9585]~P94(x95851)+E(f328(f328(f84(x95851),x95852),f328(f108(x95851),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f328(f328(f83(x95851),x95852),x95852))
% 28.33/28.20 [9821]~P140(x98211)+E(f328(f328(f248(x98211),f328(f82(x98211),x98212)),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f328(f328(f248(x98211),x98212),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))
% 28.33/28.20 [9822]~P113(x98221)+E(f328(f328(f248(x98221),f328(f79(x98221),x98222)),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f328(f328(f248(x98221),x98222),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))
% 28.33/28.20 [9818]~P94(x98181)+E(f328(f328(f84(x98181),f328(f108(x98181),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x98182),f328(f328(f83(x98181),x98182),x98182))
% 28.33/28.20 [9936]~P113(x99361)+E(f328(f79(x99361),f328(f328(f248(x99361),x99362),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))),f328(f328(f248(x99361),x99362),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))
% 28.33/28.20 [9997]~P113(x99971)+P107(f328(f328(f239(x99971),f2(x99971)),f328(f328(f248(x99971),x99972),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))))
% 28.33/28.20 [10148]~E(f328(a116,x101482),f328(f108(a911),x101481))+P107(f328(f328(f89(a1,a905),f328(f108(a1),f328(f328(f83(a1),x101481),a101))),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a326),f328(f328(f10(a905,a905,a1),a323),a195))),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a331),f328(f328(f10(a905,a905,a1),a323),a195))),f328(f328(f9(a1,a911,a905),f328(f328(f10(a911,f918(a911,a905),a1),a325),a109)),x101482)))))
% 28.33/28.20 [10149]~E(f328(f108(a911),x101491),f328(a116,x101492))+P107(f328(f328(f89(a1,a905),f328(f108(a1),f328(f328(f83(a1),x101491),a101))),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a326),f328(f328(f10(a905,a905,a1),a323),a195))),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a331),f328(f328(f10(a905,a905,a1),a323),a195))),f328(f328(f9(a1,a911,a905),f328(f328(f10(a911,f918(a911,a905),a1),a325),a109)),x101492)))))
% 28.33/28.20 [10194]E(f328(a116,x101941),f328(f108(a911),x101942))+~P107(f328(f328(f89(a1,a905),f328(f108(a1),f328(f328(f83(a1),x101942),a101))),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a326),f328(f328(f10(a905,a905,a1),a323),a195))),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a331),f328(f328(f10(a905,a905,a1),a323),a195))),f328(f328(f9(a1,a911,a905),f328(f328(f10(a911,f918(a911,a905),a1),a325),a109)),x101941)))))
% 28.33/28.20 [10195]E(f328(f108(a911),x101951),f328(a116,x101952))+~P107(f328(f328(f89(a1,a905),f328(f108(a1),f328(f328(f83(a1),x101951),a101))),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a326),f328(f328(f10(a905,a905,a1),a323),a195))),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a331),f328(f328(f10(a905,a905,a1),a323),a195))),f328(f328(f9(a1,a911,a905),f328(f328(f10(a911,f918(a911,a905),a1),a325),a109)),x101952)))))
% 28.33/28.20 [10240]~P20(x102401,x102402)+P107(f328(f328(f330(f918(x102401,a905)),f840(x102402,x102401)),f328(f328(f10(f918(x102401,a905),a905,f918(x102401,a905)),f90(x102401)),f328(f328(f10(f918(x102401,a905),f918(x102401,a905),f918(x102401,a905)),f328(f20(x102401,a905,a905),f328(f328(f10(a905,f918(a905,a905),x102401),a326),f328(f328(f20(x102401,x102401,a905),x102402),f7(x102401))))),f328(f328(f9(f918(x102401,a905),f918(x102401,f918(x102401,a905)),f918(x102401,a905)),f328(f328(f10(f918(f918(x102401,a905),a905),f918(f918(x102401,f918(x102401,a905)),f918(x102401,a905)),f918(x102401,a905)),f10(f918(x102401,a905),a905,x102401)),a325)),x102402)))))
% 28.33/28.20 [9995]~P94(x99951)+E(f328(f328(f248(x99951),f328(f108(x99951),a101)),f328(f328(f84(a911),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x99952)),f81(x99951))
% 28.33/28.20 [9996]~P140(x99961)+E(f328(f328(f248(x99961),f328(f82(x99961),f81(x99961))),f328(f328(f84(a911),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x99962)),f81(x99961))
% 28.33/28.20 [9999]~P84(x99991)+E(f328(f328(f248(x99991),x99992),f328(f108(a911),f328(f328(f3(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))),a101))),f328(f328(f84(x99991),f328(f328(f84(x99991),x99992),x99992)),x99992))
% 28.33/28.20 [10174]~P107(f328(f328(f239(a1),f2(a1)),x101742))+E(f48(a1,f328(f328(f83(a1),f81(a1)),f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x101741)),f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x101742)),f328(f328(f83(a1),f81(a1)),f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f48(a1,x101741,x101742))))
% 28.33/28.20 [10197]~P107(f328(f328(f239(a1),f2(a1)),x101972))+E(f328(f328(f39(a1),f328(f328(f83(a1),f81(a1)),f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x101971))),f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x101972)),f328(f328(f39(a1),x101971),x101972))
% 28.33/28.20 [10199]~P107(f328(f328(f239(a1),x101992),f2(a1)))+E(f328(f328(f39(a1),f328(f328(f83(a1),f81(a1)),f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x101991))),f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x101992)),f328(f328(f39(a1),f328(f328(f83(a1),x101991),f81(a1))),x101992))
% 28.33/28.20 [10200]~P107(f328(f328(f239(a1),x102002),f2(a1)))+E(f48(a1,f328(f328(f83(a1),f81(a1)),f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x102001)),f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x102002)),f328(f328(f3(a1),f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f48(a1,f328(f328(f83(a1),x102001),f81(a1)),x102002))),f81(a1)))
% 28.33/28.20 [10076]~P94(x100761)+E(f328(f328(f248(x100761),f328(f108(x100761),a101)),f328(a116,f328(f328(f84(a911),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x100762))),f328(f108(x100761),a101))
% 28.33/28.20 [10078]~P140(x100781)+E(f328(f328(f248(x100781),f328(f82(x100781),f81(x100781))),f328(a116,f328(f328(f84(a911),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x100782))),f328(f82(x100781),f81(x100781)))
% 28.33/28.20 [5071]P44(x50711,x50712)+~P13(x50711,x50713,x50712)
% 28.33/28.20 [5072]P44(x50721,x50722)+~P13(x50721,x50723,x50722)
% 28.33/28.20 [5073]P58(x50731,x50732)+~P13(x50731,x50733,x50732)
% 28.33/28.20 [5074]P58(x50741,x50742)+~P13(x50741,x50743,x50742)
% 28.33/28.20 [5242]~P13(x52421,x52422,x52423)+P59(x52421,x52422,x52423)
% 28.33/28.20 [5243]~P13(x52431,x52432,x52433)+P59(x52431,x52432,x52433)
% 28.33/28.20 [6262]E(x62621,x62622)+~P47(a25,x62621,x62623,x62622)
% 28.33/28.20 [8197]~E(x81972,x81973)+P40(x81971,x81971,a325,x81972,x81973)
% 28.33/28.20 [8750]E(x87501,x87502)+~P40(x87503,x87503,a325,x87501,x87502)
% 28.33/28.20 [4879]E(f171(x48791,x48792,x48793),f117(x48791))+~E(x48792,f2(a911))
% 28.33/28.20 [4880]E(f171(x48801,x48802,x48803),f117(x48801))+~E(x48802,f2(a911))
% 28.33/28.20 [5047]~E(f171(x50472,x50471,x50473),f117(x50472))+E(x50471,f2(a911))
% 28.33/28.20 [5048]~E(f171(x50482,x50481,x50483),f117(x50482))+E(x50481,f2(a911))
% 28.33/28.20 [5248]~P43(x52481,x52483)+P43(x52481,f322(x52481,x52482,x52483))
% 28.33/28.20 [5357]~P36(x53571,x53572,x53573)+P37(a1,x53571,f180(x53572,x53573))
% 28.33/28.20 [5416]P33(x54161,x54162,x54163)+~P33(x54161,f328(a116,x54162),x54163)
% 28.33/28.20 [5434]P36(x54341,x54342,x54343)+~P37(a1,x54341,f180(x54342,x54343))
% 28.33/28.20 [5505]~P13(x55051,x55052,x55053)+P13(f912(x55051),f163(x55051,x55052),f160(x55051,x55053))
% 28.33/28.20 [5506]~P59(x55061,x55062,x55063)+P59(f912(x55061),f163(x55061,x55062),f160(x55061,x55063))
% 28.33/28.20 [5617]P62(x56171,x56172,x56173)+~E(f350(x56173,x56172,x56171),f351(x56173,x56172,x56171))
% 28.33/28.20 [5618]P61(x56181,x56182,x56183)+~E(f709(x56183,x56182,x56181),f710(x56183,x56182,x56181))
% 28.33/28.20 [6568]P34(x65681,x65682,x65683)+~P33(x65681,f585(x65683,x65682,x65681),f597(x65683,x65682,x65681))
% 28.33/28.20 [8203]~E(x82032,x82033)+P31(x82031,x82031,f35(x82031),x82032,x82033)
% 28.33/28.20 [8758]E(x87581,x87582)+~P31(x87583,x87583,f35(x87583),x87581,x87582)
% 28.33/28.20 [4835]~E(f328(f170(x48352),x48351),x48353)+E(x48351,f328(f170(x48352),x48353))
% 28.33/28.20 [4836]~E(x48362,f328(f170(x48361),x48363))+E(f328(f170(x48361),x48362),x48363)
% 28.33/28.20 [4886]E(x48861,x48862)+~E(f328(f170(x48863),x48861),f328(f170(x48863),x48862))
% 28.33/28.20 [5098]~P12(x50983,x50981)+P107(f328(f328(x50981,x50982),x50982))
% 28.33/28.20 [5099]~P50(x50993,x50991)+P107(f328(f328(x50991,x50992),x50992))
% 28.33/28.20 [5100]~P66(x51001,x51002)+P107(f328(f316(x51001,x51002),x51003))
% 28.33/28.20 [5101]~P66(x51011,x51012)+P107(f328(f316(x51011,x51012),x51013))
% 28.33/28.20 [5165]~P43(x51651,x51652)+P43(f912(x51651),f328(f145(x51651,x51652),x51653))
% 28.33/28.20 [5170]~P107(f328(x51702,x51703))+~E(f328(f266(x51701),x51702),f190(f918(x51701,a905)))
% 28.33/28.20 [5171]~P107(f328(x51712,x51713))+~E(f190(f918(x51711,a905)),f328(f266(x51711),x51712))
% 28.33/28.20 [5183]E(x51831,f2(a911))+E(f146(x51832,f171(x51832,x51831,x51833)),x51833)
% 28.33/28.20 [5198]~P107(f328(x51981,x51983))+P107(f328(x51981,f93(x51982,x51981)))
% 28.33/28.20 [5199]~P107(f328(x51991,x51993))+P107(f328(x51991,f93(x51992,x51991)))
% 28.33/28.20 [5200]~P107(f328(x52001,x52003))+P107(f328(x52001,f93(x52002,x52001)))
% 28.33/28.20 [5201]~P107(f328(x52011,x52013))+P107(f328(x52011,f93(x52012,x52011)))
% 28.33/28.20 [5202]~P107(f328(x52021,x52023))+P107(f328(x52021,f707(x52021,x52022)))
% 28.33/28.20 [5214]E(x52141,f2(a911))+E(f328(f143(x52142),f171(x52142,x52141,x52143)),x52143)
% 28.33/28.20 [5320]~E(x53202,x53203)+P107(f328(f328(f330(x53201),x53202),f328(a325,x53203)))
% 28.33/28.20 [5335]~E(x53352,f2(a911))+E(f328(f174(x53351),f171(x53351,x53352,x53353)),f190(f918(x53351,a905)))
% 28.33/28.20 [5380]E(f328(f170(x53801),x53802),f328(f328(f153(x53801),x53803),f117(x53801)))+~E(x53802,f328(f328(f153(x53801),x53803),f117(x53801)))
% 28.33/28.20 [5381]~E(x53813,f328(f328(f153(x53811),x53812),f117(x53811)))+E(f328(f328(f153(x53811),x53812),f117(x53811)),f328(f170(x53811),x53813))
% 28.33/28.20 [5430]~P39(x54301,x54302,x54303)+P39(x54301,x54302,f328(f170(x54301),x54303))
% 28.33/28.20 [5431]~P37(x54311,x54312,x54313)+P37(x54311,x54312,f328(f170(x54311),x54313))
% 28.33/28.20 [5435]E(f328(f38(x54351),f349(x54352,x54353,x54351)),x54352)+~E(f328(f38(x54351),x54353),f328(a116,x54352))
% 28.33/28.20 [5441]~P43(x54411,x54413)+P107(f328(f328(f330(x54411),x54412),f317(x54411,x54413)))
% 28.33/28.20 [5442]~P43(x54421,x54423)+P107(f328(f328(f330(x54421),x54422),f317(x54421,x54423)))
% 28.33/28.20 [5446]~E(f328(f170(x54462),x54461),f328(f328(f153(x54462),x54463),f117(x54462)))+E(x54461,f328(f328(f153(x54462),x54463),f117(x54462)))
% 28.33/28.20 [5447]~E(f328(f328(f153(x54472),x54473),f117(x54472)),f328(f170(x54472),x54471))+E(x54471,f328(f328(f153(x54472),x54473),f117(x54472)))
% 28.33/28.20 [5471]E(f88(f917(a911,a911),f51(x54711,x54712)),x54713)+~P107(f328(f51(x54711,x54712),x54713))
% 28.33/28.20 [5509]P39(x55091,x55092,x55093)+~P39(x55091,x55092,f328(f170(x55091),x55093))
% 28.33/28.20 [5510]P37(x55101,x55102,x55103)+~P37(x55101,x55102,f328(f170(x55101),x55103))
% 28.33/28.20 [5570]~E(x55702,f117(x55701))+P107(f328(f328(f330(f912(x55701)),x55702),f163(x55701,x55703)))
% 28.33/28.20 [5579]~P62(x55791,x55792,x55793)+P62(x55791,x55792,f328(f288(x55791,x55791),x55793))
% 28.33/28.20 [5580]~P59(x55801,x55802,x55803)+P59(x55801,x55802,f328(f288(x55801,x55801),x55803))
% 28.33/28.20 [5598]~P8(x55981)+E(f48(x55981,f48(x55981,x55982,x55983),x55983),f48(x55981,x55982,x55983))
% 28.33/28.20 [5699]E(x56991,x56992)+~P107(f328(f328(f330(x56993),x56991),f328(a325,x56992)))
% 28.33/28.20 [5745]~P108(x57451)+E(f192(x57451,x57452,f2(a911),x57453),x57453)
% 28.33/28.20 [5767]P62(x57671,x57672,x57673)+~P62(x57671,x57672,f328(f288(x57671,x57671),x57673))
% 28.33/28.20 [5768]P59(x57681,x57682,x57683)+~P59(x57681,x57682,f328(f288(x57681,x57681),x57683))
% 28.33/28.20 [5773]~P109(x57732)+E(f152(x57731,x57732,x57733,f117(x57731)),f117(x57731))
% 28.33/28.20 [5785]E(f172(x57851,x57852,f154(x57851,x57853)),f154(x57851,f172(x57851,x57852,x57853)))+~P107(f328(f139(x57851),x57853))
% 28.33/28.20 [5885]E(f328(f138(x58851,x58852),x58853),f117(x58851))+P107(f328(x58852,f643(x58853,x58852,x58851)))
% 28.33/28.20 [5943]E(f71(x59431,x59432,x59433),x59432)+P107(f328(x59433,f756(x59432,x59431,x59433)))
% 28.33/28.20 [6038]~P107(f328(f139(x60381),x60382))+P107(f328(f139(x60381),f178(x60381,x60382,x60383)))
% 28.33/28.20 [6039]~P107(f328(f139(x60391),x60393))+P107(f328(f139(x60391),f172(x60391,x60392,x60393)))
% 28.33/28.20 [6040]~P107(f328(f139(x60401),x60403))+P107(f328(f139(x60401),f142(x60401,x60402,x60403)))
% 28.33/28.20 [6041]~P107(f328(f139(x60411),x60413))+P107(f328(f139(x60411),f179(x60411,x60412,x60413)))
% 28.33/28.20 [6042]~P147(x60421,x60422,x60423)+P107(f328(x60421,f48(a1,x60422,x60423)))
% 28.33/28.20 [6058]~P39(x60583,x60581,x60582)+P107(f328(x60581,f746(x60582,x60581,x60583)))
% 28.33/28.20 [6059]~P41(x60593,x60591,x60592)+P107(f328(x60591,f792(x60592,x60591,x60593)))
% 28.33/28.20 [6060]~P41(x60603,x60601,x60602)+P107(f328(x60601,f802(x60602,x60601,x60603)))
% 28.33/28.20 [6061]~P39(x60613,x60611,x60612)+P107(f328(x60611,f810(x60611,x60612,x60613)))
% 28.33/28.20 [6062]~P39(x60623,x60621,x60622)+P107(f328(x60621,f818(x60622,x60621,x60623)))
% 28.33/28.20 [6081]E(f328(f138(x60811,x60812),x60813),f179(x60811,x60812,x60813))+P107(f328(x60812,f668(x60813,x60812,x60811)))
% 28.33/28.20 [6122]~P107(f328(f139(x61221),x61223))+P107(f328(f139(f912(x61221)),f58(x61221,x61222,x61223)))
% 28.33/28.20 [6156]~P111(x61561)+E(f328(f328(f106(f918(x61561,a905)),f328(f302(x61561),x61562)),f307(x61561,x61562,x61563)),f190(f918(x61561,a905)))
% 28.33/28.20 [6157]~P111(x61571)+E(f328(f328(f106(f918(x61571,a905)),f328(f302(x61571),x61572)),f306(x61571,x61572,x61573)),f190(f918(x61571,a905)))
% 28.33/28.20 [6158]~P111(x61581)+E(f328(f328(f106(f918(x61581,a905)),f328(f284(x61581),x61582)),f304(x61581,x61582,x61583)),f190(f918(x61581,a905)))
% 28.33/28.20 [6387]E(f328(f138(x63871,x63872),x63873),x63873)+~P107(f328(x63872,f647(x63873,x63872,x63871)))
% 28.33/28.20 [6389]E(f328(f328(f310(x63891),f360(x63892,x63893,x63891)),f349(x63892,x63893,x63891)),x63893)+~E(f328(f38(x63891),x63893),f328(a116,x63892))
% 28.33/28.20 [6404]P147(x64041,x64042,x64043)+~P107(f328(x64041,f48(a1,x64042,x64043)))
% 28.33/28.20 [6453]P37(x64531,x64532,x64533)+~P107(f328(x64532,f781(x64533,x64532,x64531)))
% 28.33/28.20 [6454]P37(x64541,x64542,x64543)+~P107(f328(x64542,f790(x64542,x64543,x64541)))
% 28.33/28.20 [6455]P37(x64551,x64552,x64553)+~P107(f328(x64552,f791(x64553,x64552,x64551)))
% 28.33/28.20 [6456]P36(x64561,x64562,x64563)+~P107(f328(x64561,f811(x64563,x64562,x64561)))
% 28.33/28.20 [6458]E(f179(x64581,x64582,x64583),x64583)+~P107(f328(x64582,f662(x64583,x64582,x64581)))
% 28.33/28.20 [6537]~P107(f328(x65372,f586(x65373,x65372,x65371)))+P107(f328(f252(x65371,x65372),x65373))
% 28.33/28.20 [6538]~P107(f328(x65382,f622(x65383,x65382,x65381)))+P107(f328(f162(x65381,x65382),x65383))
% 28.33/28.20 [6787]~P107(f328(f316(x67871,x67872),f877(x67873,x67872,x67871)))+P107(f328(f316(x67871,x67872),x67873))
% 28.33/28.20 [6788]~P107(f328(f316(x67881,x67882),f887(x67883,x67882,x67881)))+P107(f328(f316(x67881,x67882),x67883))
% 28.33/28.20 [7397]~P8(x73971)+E(f328(f328(f83(x73971),f328(f328(f84(x73971),x73972),f328(f328(f39(x73971),x73973),x73972))),f48(x73971,x73973,x73972)),x73973)
% 28.33/28.20 [7426]P36(x74261,x74262,x74263)+P107(f328(f328(f330(a1),f811(x74263,x74262,x74261)),f304(a1,x74262,x74263)))
% 28.33/28.20 [7863]E(f328(f328(f256(x78631,x78631),f402(x78632,x78633,x78631)),f402(x78632,x78633,x78631)),x78633)+~P107(f328(f328(f330(f917(x78631,x78631)),x78633),f267(x78631,x78632)))
% 28.33/28.20 [7985]~P107(f328(f328(f330(x79851),f352(x79853,x79852,x79851)),f317(x79851,x79853)))+P107(f328(f328(f330(x79851),x79852),f317(x79851,x79853)))
% 28.33/28.20 [7986]~P107(f328(f328(f330(x79861),f737(x79863,x79862,x79861)),f317(x79861,x79863)))+P107(f328(f328(f330(x79861),x79862),f317(x79861,x79863)))
% 28.33/28.20 [7987]~P107(f328(f328(f330(x79871),f739(x79873,x79872,x79871)),f317(x79871,x79873)))+P107(f328(f328(f330(x79871),x79872),f317(x79871,x79873)))
% 28.33/28.20 [8080]P39(a1,x80801,f180(x80802,x80803))+P36(f328(f76(a905,a905,a1,a323),x80801),x80802,x80803)
% 28.33/28.20 [8177]~P8(x81771)+E(f328(f328(f83(x81771),f328(f328(f84(x81771),f328(f328(f39(x81771),x81772),x81773)),x81773)),f48(x81771,x81772,x81773)),x81772)
% 28.33/28.20 [8178]~P8(x81781)+E(f328(f328(f83(x81781),f328(f328(f84(x81781),f328(f328(f39(x81781),x81782),x81783)),x81783)),f48(x81781,x81782,x81783)),x81782)
% 28.33/28.20 [8226]~E(f328(f38(x82261),x82262),f328(a116,x82263))+~P107(f328(f328(f330(x82261),f360(x82263,x82262,x82261)),f349(x82263,x82262,x82261)))
% 28.33/28.20 [8671]~P39(a1,x86711,f180(x86712,x86713))+~P36(f328(f76(a905,a905,a1,a323),x86711),x86712,x86713)
% 28.33/28.20 [8851]P107(f328(f328(f239(f918(f917(x88511,x88511),a905)),f308(x88511,x88512)),f308(x88511,x88513)))+~P107(f328(f328(f239(f918(f917(x88511,x88511),a905)),x88512),f308(x88511,x88513)))
% 28.33/28.20 [8980]~P31(x89801,x89802,x89803,f246(f918(x89801,a905)),f246(f918(x89802,a905)))+P30(x89801,x89802,x89803,f246(f918(x89801,a905)))
% 28.33/28.20 [9123]E(x91231,f117(x91232))+~P107(f328(f328(f330(f917(f912(x91232),f912(x91232))),f328(f328(f256(f912(x91232),f912(x91232)),x91231),f117(x91232))),f160(x91232,x91233)))
% 28.33/28.20 [9148]E(x91481,f117(x91482))+~P107(f328(f328(f330(f917(f912(x91482),f912(x91482))),f328(f328(f256(f912(x91482),f912(x91482)),f117(x91482)),x91481)),f160(x91482,x91483)))
% 28.33/28.20 [9281]E(f328(f328(f153(x92811),f565(x92812,x92813,x92811)),f576(x92812,x92813,x92811)),x92813)+~P107(f328(f328(f330(f917(f912(x92811),f912(x92811))),f328(f328(f256(f912(x92811),f912(x92811)),f117(x92811)),x92813)),f149(x92811,x92812)))
% 28.33/28.20 [9508]~P126(x95081)+~P107(f328(f328(f240(x95081),f328(f328(f83(x95081),f328(f328(f84(x95081),x95082),x95082)),f328(f328(f84(x95081),x95083),x95083))),f2(x95081)))
% 28.33/28.20 [9557]P107(f328(f64(x95571),x95572))+~P107(f328(f328(f330(f917(f918(x95571,a905),f918(x95571,a905))),f328(f328(f256(f918(x95571,a905),f918(x95571,a905)),x95573),x95572)),f315(x95571)))
% 28.33/28.20 [9845]~P54(x98451,x98452,x98453)+P107(f328(f328(f240(a1),f328(f328(f76(f917(a1,a1),a1,x98451,f255(a1,a1)),f216(x98451)),f234(x98451,x98452,f231(x98451,x98453)))),f2(a1)))
% 28.33/28.20 [9846]~P55(x98461,x98462,x98463)+P107(f328(f328(f239(a1),f328(f328(f76(f917(a1,a1),a1,x98461,f255(a1,a1)),f216(x98461)),f234(x98461,x98462,f231(x98461,x98463)))),f2(a1)))
% 28.33/28.20 [9965]P54(x99651,x99652,x99653)+~P107(f328(f328(f240(a1),f328(f328(f76(f917(a1,a1),a1,x99651,f255(a1,a1)),f216(x99651)),f234(x99651,x99652,f231(x99651,x99653)))),f2(a1)))
% 28.33/28.20 [9966]P55(x99661,x99662,x99663)+~P107(f328(f328(f239(a1),f328(f328(f76(f917(a1,a1),a1,x99661,f255(a1,a1)),f216(x99661)),f234(x99661,x99662,f231(x99661,x99663)))),f2(a1)))
% 28.33/28.20 [10295]~P113(x102951)+~P107(f328(f328(f240(x102951),f328(f328(f83(x102951),f328(f328(f248(x102951),x102952),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))),f328(f328(f248(x102951),x102953),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))),f2(x102951)))
% 28.33/28.20 [4863]~E(x48633,f117(x48631))+E(f328(f328(f136(x48631),x48632),x48633),x48632)
% 28.33/28.20 [4864]~E(x48642,f117(x48641))+E(f328(f328(f136(x48641),x48642),x48643),x48643)
% 28.33/28.20 [4865]~E(x48653,f117(x48651))+E(f328(f328(f136(x48651),x48652),x48653),x48652)
% 28.33/28.20 [4866]~E(x48662,f117(x48661))+E(f328(f328(f136(x48661),x48662),x48663),x48663)
% 28.33/28.20 [4872]~E(x48722,f2(a911))+E(f328(f328(f177(x48721),x48722),x48723),f117(x48721))
% 28.33/28.20 [4881]~E(x48813,f117(x48811))+E(f328(f328(f177(x48811),x48812),x48813),f117(x48811))
% 28.33/28.20 [4920]~E(x49201,x49203)+E(x49201,f328(f328(f136(x49202),f117(x49202)),x49203))
% 28.33/28.20 [5010]~P1(x50102)+E(f328(f190(f918(x50101,x50102)),x50103),f190(x50102))
% 28.33/28.20 [5011]~P1(x50112)+E(f328(f190(f918(x50111,x50112)),x50113),f190(x50112))
% 28.33/28.20 [5012]~P118(x50122)+E(f328(f246(f918(x50121,x50122)),x50123),f246(x50122))
% 28.33/28.20 [5028]E(x50281,f117(x50282))+~E(f328(f328(f136(x50282),x50281),x50283),x50283)
% 28.33/28.20 [5029]E(x50291,f117(x50292))+~E(f328(f328(f136(x50292),x50293),x50291),x50293)
% 28.33/28.20 [5030]E(x50301,f117(x50302))+~E(f328(f328(f136(x50302),x50303),x50301),x50303)
% 28.33/28.20 [5031]E(x50311,f117(x50312))+~E(f328(f328(f136(x50312),x50311),x50313),x50313)
% 28.33/28.20 [5037]E(x50371,f117(x50372))+~E(f328(f328(f136(x50372),x50373),x50371),f117(x50372))
% 28.33/28.20 [5038]E(x50381,f117(x50382))+~E(f328(f328(f136(x50382),x50381),x50383),f117(x50382))
% 28.33/28.20 [5039]E(x50391,f117(x50392))+~E(f328(f328(f136(x50392),x50393),x50391),f117(x50392))
% 28.33/28.20 [5040]E(x50401,f117(x50402))+~E(f328(f328(f136(x50402),x50401),x50403),f117(x50402))
% 28.33/28.20 [5065]~E(x50652,f2(a911))+E(f328(f328(f84(a911),x50651),x50652),f328(f328(f84(a911),x50653),x50652))
% 28.33/28.20 [5066]~E(x50661,f2(a911))+E(f328(f328(f84(a911),x50661),x50662),f328(f328(f84(a911),x50661),x50663))
% 28.33/28.20 [5067]~E(x50671,f2(a911))+E(f328(f328(f84(a911),x50671),x50672),f328(f328(f84(a911),x50671),x50673))
% 28.33/28.20 [5124]~P114(x51241)+E(f328(f328(f83(x51241),x51242),x51243),f328(f328(f83(x51241),x51243),x51242))
% 28.33/28.20 [5125]~P114(x51251)+E(f328(f328(f84(x51251),x51252),x51253),f328(f328(f84(x51251),x51253),x51252))
% 28.33/28.20 [5126]~P109(x51261)+E(f328(f328(f243(x51261),x51262),x51263),f328(f328(f243(x51261),x51263),x51262))
% 28.33/28.20 [5127]~P109(x51271)+E(f328(f328(f243(x51271),x51272),x51273),f328(f328(f243(x51271),x51273),x51272))
% 28.33/28.20 [5128]~P109(x51281)+E(f328(f328(f238(x51281),x51282),x51283),f328(f328(f238(x51281),x51283),x51282))
% 28.33/28.20 [5129]~P109(x51291)+E(f328(f328(f238(x51291),x51292),x51293),f328(f328(f238(x51291),x51293),x51292))
% 28.33/28.20 [5130]~P100(x51301)+E(f328(f328(f105(x51301),x51302),x51303),f328(f328(f105(x51301),x51303),x51302))
% 28.33/28.20 [5131]~P100(x51311)+E(f328(f328(f105(x51311),x51312),x51313),f328(f328(f105(x51311),x51313),x51312))
% 28.33/28.20 [5132]~P101(x51321)+E(f328(f328(f105(x51321),x51322),x51323),f328(f328(f105(x51321),x51323),x51322))
% 28.33/28.20 [5133]~P101(x51331)+E(f328(f328(f106(x51331),x51332),x51333),f328(f328(f106(x51331),x51333),x51332))
% 28.33/28.20 [5134]~P104(x51341)+E(f328(f328(f106(x51341),x51342),x51343),f328(f328(f106(x51341),x51343),x51342))
% 28.33/28.20 [5135]~P104(x51351)+E(f328(f328(f106(x51351),x51352),x51353),f328(f328(f106(x51351),x51353),x51352))
% 28.33/28.20 [5196]E(f48(a911,x51961,x51962),f2(a911))+~E(x51961,f328(f328(f84(a911),x51962),x51963))
% 28.33/28.20 [5197]E(f48(a1,x51971,x51972),f2(a1))+~E(x51971,f328(f328(f84(a1),x51972),x51973))
% 28.33/28.20 [5260]E(x52601,x52602)+~E(f328(f328(f83(a911),x52603),x52601),f328(f328(f83(a911),x52603),x52602))
% 28.33/28.20 [5261]E(x52611,x52612)+~E(f328(f328(f83(a911),x52611),x52613),f328(f328(f83(a911),x52612),x52613))
% 28.33/28.20 [5271]~P77(x52711)+E(f328(f328(f83(x52711),x52712),f328(f82(x52711),x52713)),f328(f328(f3(x52711),x52712),x52713))
% 28.33/28.20 [5272]~P7(x52721)+E(f328(f328(f83(x52721),x52722),f328(f82(x52721),x52723)),f328(f328(f3(x52721),x52722),x52723))
% 28.33/28.20 [5273]~P116(x52731)+E(f328(f328(f83(x52731),x52732),f328(f82(x52731),x52733)),f328(f328(f3(x52731),x52732),x52733))
% 28.33/28.20 [5274]~P96(x52741)+E(f328(f328(f106(x52741),x52742),f328(f82(x52741),x52743)),f328(f328(f3(x52741),x52742),x52743))
% 28.33/28.20 [5275]~P77(x52751)+E(f328(f328(f3(x52751),x52752),f328(f82(x52751),x52753)),f328(f328(f83(x52751),x52752),x52753))
% 28.33/28.20 [5314]~P107(f328(x53143,x53142))+P107(f328(f328(f330(x53141),x53142),x53143))
% 28.33/28.20 [5315]~P78(x53152)+E(f328(f328(f11(x53151,x53152),x53153),f190(f918(x53151,a905))),f81(x53152))
% 28.33/28.20 [5316]~P78(x53162)+E(f328(f328(f11(x53161,x53162),x53163),f190(f918(x53161,a905))),f81(x53162))
% 28.33/28.20 [5317]~P76(x53172)+E(f328(f328(f8(x53171,x53172),x53173),f190(f918(x53171,a905))),f2(x53172))
% 28.33/28.20 [5318]~P76(x53182)+E(f328(f328(f8(x53181,x53182),x53183),f190(f918(x53181,a905))),f2(x53182))
% 28.33/28.20 [5369]~E(x53692,f328(f328(f83(a911),x53691),x53693))+P107(f328(f328(f239(a911),x53691),x53692))
% 28.33/28.20 [5372]~E(x53722,f190(f918(x53721,a905)))+E(f328(f328(f63(x53721),x53722),x53723),f190(f918(f918(x53721,a905),a905)))
% 28.33/28.20 [5373]~E(x53732,f190(f918(x53731,a905)))+E(f190(f918(f918(x53731,a905),a905)),f328(f328(f63(x53731),x53732),x53733))
% 28.33/28.20 [5450]~E(f328(f286(x54502,x54503),x54501),f190(f918(x54503,a905)))+E(x54501,f190(f918(f917(x54502,x54503),a905)))
% 28.33/28.20 [5451]~E(f328(f268(x54512,x54513),x54511),f190(f918(x54512,a905)))+E(x54511,f190(f918(f917(x54512,x54513),a905)))
% 28.33/28.20 [5484]E(f328(f286(x54841,x54842),x54843),f190(f918(x54842,a905)))+~E(x54843,f190(f918(f917(x54841,x54842),a905)))
% 28.33/28.20 [5485]E(f328(f268(x54851,x54852),x54853),f190(f918(x54851,a905)))+~E(x54853,f190(f918(f917(x54851,x54852),a905)))
% 28.33/28.20 [5488]E(f276(x54881,x54882,x54883),f328(f328(f3(a103),x54882),x54883))+P107(f328(f328(f240(a103),x54882),x54883))
% 28.33/28.20 [5503]P107(f328(x55031,x55032))+~P107(f328(f328(f330(x55033),x55032),x55031))
% 28.33/28.20 [5541]E(x55411,x55412)+~E(f328(f82(f918(x55413,a905)),x55411),f328(f82(f918(x55413,a905)),x55412))
% 28.33/28.20 [5548]~E(x55481,f190(f918(x55482,a905)))+~P107(f328(f328(f330(x55482),x55483),x55481))
% 28.33/28.20 [5549]~E(x55491,f190(f918(x55492,a905)))+~P107(f328(f328(f330(x55492),x55493),x55491))
% 28.33/28.20 [5550]~E(x55501,f190(f918(x55502,a905)))+~P107(f328(f328(f330(x55502),x55503),x55501))
% 28.33/28.20 [5581]~E(x55812,f328(f328(f83(a1),x55811),f328(f104(a1),x55813)))+P107(f328(f328(f239(a1),x55811),x55812))
% 28.33/28.20 [5595]E(f328(f328(f310(x55951),x55952),x55953),x55953)+~P107(f328(f328(f330(x55951),x55952),x55953))
% 28.33/28.20 [5607]E(x56071,f190(f918(x56072,a905)))+~E(f328(f328(f63(x56072),x56071),x56073),f190(f918(f918(x56072,a905),a905)))
% 28.33/28.20 [5608]E(x56081,f190(f918(x56082,a905)))+~E(f190(f918(f918(x56082,a905),a905)),f328(f328(f63(x56082),x56081),x56083))
% 28.33/28.20 [5614]~P128(x56141)+E(f328(f328(f84(x56141),f328(f82(x56141),x56142)),f328(f82(x56141),x56143)),f328(f328(f84(x56141),x56142),x56143))
% 28.33/28.20 [5616]~P69(x56161)+E(f328(f328(f291(x56161),f328(f82(x56161),x56162)),f328(f82(x56161),x56163)),f328(f328(f291(x56161),x56162),x56163))
% 28.33/28.20 [5647]~P107(f328(x56473,x56472))+P107(f328(f328(f330(x56471),x56472),f328(f266(x56471),x56473)))
% 28.33/28.20 [5648]~P107(f328(x56483,x56482))+P107(f328(f328(f330(x56481),x56482),f328(f266(x56481),x56483)))
% 28.33/28.20 [5672]E(x56721,f2(a911))+E(f328(f174(x56722),f171(x56722,x56721,x56723)),f328(f328(f310(x56722),x56723),f190(f918(x56722,a905))))
% 28.33/28.20 [5673]E(x56731,f2(a911))+E(f328(f174(x56732),f171(x56732,x56731,x56733)),f328(f328(f310(x56732),x56733),f190(f918(x56732,a905))))
% 28.33/28.20 [5692]E(f172(x56921,x56922,x56923),x56923)+P107(f328(f328(f330(x56921),x56922),f328(f174(x56921),x56923)))
% 28.33/28.20 [5777]~P107(f328(f139(x57771),x57773))+P107(f328(f139(x57771),f328(f138(x57771,x57772),x57773)))
% 28.33/28.20 [5820]~P8(x58201)+E(f328(f328(f39(x58201),f48(x58201,x58202,x58203)),x58203),f2(x58201))
% 28.33/28.20 [5839]E(f178(x58391,f328(f328(f153(x58391),x58392),f117(x58391)),x58393),f117(x58391))+P107(f328(f328(f330(a911),f2(a911)),x58393))
% 28.33/28.20 [5845]E(x58451,f2(a911))+E(f328(f173(x58452),f171(x58452,x58451,x58453)),f171(x58452,f328(f328(f3(a911),x58451),f81(a911)),x58453))
% 28.33/28.20 [5894]E(f328(f328(f153(x58941),x58942),x58943),f142(x58941,x58942,x58943))+P107(f328(f328(f330(x58941),x58942),f328(f174(x58941),x58943)))
% 28.33/28.20 [5895]E(f328(f328(f153(x58951),x58952),x58953),f142(x58951,x58952,x58953))+P107(f328(f328(f330(x58951),x58952),f328(f174(x58951),x58953)))
% 28.33/28.20 [5904]E(x59041,x59042)+~E(f328(f328(f84(a911),f328(a116,x59043)),x59041),f328(f328(f84(a911),f328(a116,x59043)),x59042))
% 28.33/28.20 [5905]~E(x59052,f328(f328(f83(a1),x59051),f328(f104(a1),f328(a116,x59053))))+P107(f328(f328(f240(a1),x59051),x59052))
% 28.33/28.20 [6019]~E(x60193,f117(x60191))+E(f328(f328(f328(f185(f912(x60191),f912(x60191)),x60192),f169(x60191)),x60193),f117(x60191))
% 28.33/28.20 [6021]P107(f328(x60211,x60212))+~P107(f328(f328(f330(x60213),x60212),f328(f266(x60213),x60211)))
% 28.33/28.20 [6022]P107(f328(x60221,x60222))+~P107(f328(f328(f330(x60223),x60222),f328(f266(x60223),x60221)))
% 28.33/28.20 [6023]P107(f328(x60231,x60232))+~P107(f328(f328(f330(x60233),x60232),f328(f266(x60233),x60231)))
% 28.33/28.20 [6053]E(x60531,x60532)+~E(f328(f328(f310(x60533),x60531),f190(f918(x60533,a905))),f328(f328(f310(x60533),x60532),f190(f918(x60533,a905))))
% 28.33/28.20 [6067]~P111(x60671)+E(f328(f328(f106(f918(x60671,a905)),f328(f284(x60671),x60672)),f328(f303(x60671,x60672),x60673)),f190(f918(x60671,a905)))
% 28.33/28.20 [6106]E(f142(x61061,x61062,x61063),x61063)+~P107(f328(f328(f330(x61061),x61062),f328(f174(x61061),x61063)))
% 28.33/28.20 [6107]E(f142(x61071,x61072,x61073),x61073)+~P107(f328(f328(f330(x61071),x61072),f328(f174(x61071),x61073)))
% 28.33/28.20 [6130]~P82(x61301)+E(f328(f311(x61301,x61301,f82(x61301)),f328(f303(x61301,x61302),x61303)),f306(x61301,f328(f82(x61301),x61303),f328(f82(x61301),x61302)))
% 28.33/28.20 [6135]P107(f328(f328(f330(x61351),x61352),f328(f174(x61351),x61353)))+~P107(f328(f328(f174(x61351),x61353),x61352))
% 28.33/28.20 [6136]P107(f328(f328(f330(x61361),x61362),f328(f174(x61361),x61363)))+~P107(f328(f328(f174(x61361),x61363),x61362))
% 28.33/28.20 [6141]E(f328(f191(f912(x61411)),f172(x61411,x61412,x61413)),f328(f191(f912(x61411)),x61413))+P107(f328(f328(f330(x61411),x61412),f328(f174(x61411),x61413)))
% 28.33/28.21 [6159]P107(f328(x61591,x61592))+~P107(f328(f328(f330(x61593),x61592),f190(f918(x61593,a905))))
% 28.33/28.21 [6160]~P107(f328(x61602,x61603))+P107(f328(f328(f330(x61601),f707(x61602,x61601)),f246(f918(x61601,a905))))
% 28.33/28.21 [6196]~P111(x61961)+E(f328(f328(f106(f918(x61961,a905)),f328(f303(x61961,x61962),x61963)),f328(f285(x61961),x61963)),f190(f918(x61961,a905)))
% 28.33/28.21 [6216]~P82(x62161)+E(f328(f311(x62161,x62161,f82(x62161)),f307(x62161,x62162,x62163)),f307(x62161,f328(f82(x62161),x62163),f328(f82(x62161),x62162)))
% 28.33/28.21 [6217]~P82(x62171)+E(f328(f311(x62171,x62171,f82(x62171)),f304(x62171,x62172,x62173)),f304(x62171,f328(f82(x62171),x62173),f328(f82(x62171),x62172)))
% 28.33/28.21 [6222]~P107(f328(x62221,x62222))+~P107(f328(f328(f330(x62223),x62222),f190(f918(x62223,a905))))
% 28.33/28.21 [6276]~P107(f328(f328(f330(x62761),x62763),f328(f174(x62761),x62762)))+P107(f328(f328(f174(x62761),x62762),x62763))
% 28.33/28.21 [6277]~P107(f328(f328(f330(x62771),x62773),f328(f174(x62771),x62772)))+P107(f328(f328(f174(x62771),x62772),x62773))
% 28.33/28.21 [6281]E(f178(x62811,f328(f328(f153(x62811),x62812),f117(x62811)),x62813),f328(f328(f153(x62811),x62812),f117(x62811)))+~P107(f328(f328(f330(a911),f2(a911)),x62813))
% 28.33/28.21 [6288]~P82(x62881)+E(f328(f311(x62881,x62881,f82(x62881)),f306(x62881,x62882,x62883)),f328(f303(x62881,f328(f82(x62881),x62883)),f328(f82(x62881),x62882)))
% 28.33/28.21 [6308]~P9(x63081)+E(f48(x63081,f328(f82(x63081),f48(x63081,x63082,x63083)),x63083),f48(x63081,f328(f82(x63081),x63082),x63083))
% 28.33/28.21 [6402]~P107(f328(f64(f917(x64022,x64021)),x64023))+P107(f328(f64(x64021),f328(f286(x64022,x64021),x64023)))
% 28.33/28.21 [6403]~P107(f328(f64(f917(x64031,x64032)),x64033))+P107(f328(f64(x64031),f328(f268(x64031,x64032),x64033)))
% 28.33/28.21 [6408]~P111(x64081)+E(f328(f328(f106(f918(x64081,a905)),f307(x64081,x64082,x64083)),f328(f285(x64081),x64083)),f190(f918(x64081,a905)))
% 28.33/28.21 [6409]~P111(x64091)+E(f328(f328(f106(f918(x64091,a905)),f306(x64091,x64092,x64093)),f328(f305(x64091),x64093)),f190(f918(x64091,a905)))
% 28.33/28.21 [6410]~P111(x64101)+E(f328(f328(f106(f918(x64101,a905)),f304(x64101,x64102,x64103)),f328(f305(x64101),x64103)),f190(f918(x64101,a905)))
% 28.33/28.21 [6478]E(f328(f328(f166(x64781),x64782),f578(x64782,x64783,x64781)),x64783)+~P107(f328(f328(f330(x64781),x64783),f328(f174(x64781),x64782)))
% 28.33/28.21 [6619]E(x66191,f117(x66192))+~E(f328(f328(f328(f185(f912(x66192),f912(x66192)),x66193),f169(x66192)),x66191),f117(x66192))
% 28.33/28.21 [6696]P47(x66961,x66962,f383(x66963,x66962,x66961),x66963)+~P107(f328(f328(f196(x66961),x66962),x66963))
% 28.33/28.21 [6697]P47(x66971,x66972,f433(x66973,x66972,x66971),x66973)+~P107(f328(f328(f196(x66971),x66972),x66973))
% 28.33/28.21 [6726]~P107(f328(f64(f917(x67262,x67261)),x67263))+P107(f328(f64(f917(x67261,x67262)),f328(f288(x67262,x67261),x67263)))
% 28.33/28.21 [6873]P62(x68731,x68732,x68733)+P107(f328(f328(f330(x68731),f351(x68733,x68732,x68731)),x68732))
% 28.33/28.21 [6874]P62(x68741,x68742,x68743)+P107(f328(f328(f330(x68741),f350(x68743,x68742,x68741)),x68742))
% 28.33/28.21 [6885]P107(f328(f316(x68851,x68852),x68853))+P107(f328(f328(x68852,f877(x68853,x68852,x68851)),x68853))
% 28.33/28.21 [6886]P107(f328(f316(x68861,x68862),x68863))+P107(f328(f328(x68862,f887(x68863,x68862,x68861)),x68863))
% 28.33/28.21 [6917]E(f328(f191(f912(x69171)),f172(x69171,x69172,x69173)),f328(f328(f3(a911),f328(f191(f912(x69171)),x69173)),f81(a911)))+~P107(f328(f328(f330(x69171),x69172),f328(f174(x69171),x69173)))
% 28.33/28.21 [6957]P107(f328(f252(x69571,x69572),x69573))+P107(f328(f328(f330(x69571),f586(x69573,x69572,x69571)),x69573))
% 28.33/28.21 [6966]~P107(f328(f64(f917(x69662,x69661)),f328(f288(x69661,x69662),x69663)))+P107(f328(f64(f917(x69661,x69662)),x69663))
% 28.33/28.21 [7021]~P107(f328(f328(f330(x70211),x70212),f328(f174(x70211),f118(x70211,x70213))))+P107(f328(f328(f330(x70211),x70212),f328(f174(x70211),x70213)))
% 28.33/28.21 [7026]P34(x70261,x70262,x70263)+P107(f328(f328(f330(f910(x70261)),f597(x70263,x70262,x70261)),x70263))
% 28.33/28.21 [7057]E(f328(f138(x70571,x70572),x70573),x70573)+P107(f328(f328(f330(x70571),f647(x70573,x70572,x70571)),f328(f174(x70571),x70573)))
% 28.33/28.21 [7071]E(f328(f138(x70711,x70712),x70713),f117(x70711))+P107(f328(f328(f330(x70711),f643(x70713,x70712,x70711)),f328(f174(x70711),x70713)))
% 28.33/28.21 [7095]P37(x70951,x70952,x70953)+P107(f328(f328(f330(x70951),f781(x70953,x70952,x70951)),f328(f174(x70951),x70953)))
% 28.33/28.21 [7096]P37(x70961,x70962,x70963)+P107(f328(f328(f330(x70961),f791(x70963,x70962,x70961)),f328(f174(x70961),x70963)))
% 28.33/28.21 [7097]P37(x70971,x70972,x70973)+P107(f328(f328(f330(x70971),f790(x70972,x70973,x70971)),f328(f174(x70971),x70973)))
% 28.33/28.21 [7100]E(f179(x71001,x71002,x71003),x71003)+P107(f328(f328(f330(x71001),f662(x71003,x71002,x71001)),f328(f174(x71001),x71003)))
% 28.33/28.21 [7174]P107(f328(f162(x71741,x71742),x71743))+P107(f328(f328(f330(x71741),f622(x71743,x71742,x71741)),f328(f174(x71741),x71743)))
% 28.33/28.21 [7183]~P39(x71831,x71833,x71832)+P107(f328(f328(f330(x71831),f746(x71832,x71833,x71831)),f328(f174(x71831),x71832)))
% 28.33/28.21 [7184]~P41(x71841,x71843,x71842)+P107(f328(f328(f330(x71841),f792(x71842,x71843,x71841)),f328(f174(x71841),x71842)))
% 28.33/28.21 [7185]~P41(x71851,x71853,x71852)+P107(f328(f328(f330(x71851),f802(x71852,x71853,x71851)),f328(f174(x71851),x71852)))
% 28.33/28.21 [7186]~P39(x71861,x71862,x71863)+P107(f328(f328(f330(x71861),f810(x71862,x71863,x71861)),f328(f174(x71861),x71863)))
% 28.33/28.21 [7187]~P39(x71871,x71873,x71872)+P107(f328(f328(f330(x71871),f818(x71872,x71873,x71871)),f328(f174(x71871),x71872)))
% 28.33/28.21 [7221]P107(f328(f328(f330(x72211),x72212),f776(x72213,x72212,x72211)))+~P107(f328(f328(f330(x72211),x72212),f40(f918(x72211,a905),x72213)))
% 28.33/28.21 [7222]~P76(x72221)+E(f328(f328(f83(x72221),f328(f328(f8(a911,x72221),x72222),f328(f284(a911),x72223))),f328(x72222,x72223)),f328(f328(f8(a911,x72221),x72222),f328(f284(a911),f328(a116,x72223))))
% 28.33/28.21 [7311]~P39(x73112,x73111,x73113)+P107(f328(x73111,f328(f328(f166(x73112),x73113),f748(x73113,x73111,x73112))))
% 28.33/28.21 [7324]~P107(f328(f328(f330(x73241),x73242),f749(x73242,x73243,x73241)))+P107(f328(f328(f330(x73241),x73242),f41(f918(x73241,a905),x73243)))
% 28.33/28.21 [7357]~P76(x73571)+E(f328(f328(f83(x73571),f328(f328(f8(a911,x73571),x73572),f328(f302(a911),x73573))),f328(x73572,f328(a116,x73573))),f328(f328(f8(a911,x73571),x73572),f328(f302(a911),f328(a116,x73573))))
% 28.33/28.21 [7503]P107(f328(f328(f330(f912(x75031)),x75032),f163(x75031,x75033)))+P107(f328(f328(f330(x75031),f580(x75033,x75032,x75031)),f328(f174(x75031),x75032)))
% 28.33/28.21 [7517]~P107(f328(f328(f330(f912(x75171)),x75172),f163(x75171,f317(x75171,x75173))))+P107(f328(f328(f330(f912(x75171)),x75172),f317(f912(x75171),f159(x75171,x75173))))
% 28.33/28.21 [7545]~P107(f328(f328(f330(f912(x75451)),x75452),f317(f912(x75451),f159(x75451,x75453))))+P107(f328(f328(f330(f912(x75451)),x75452),f163(x75451,f317(x75451,x75453))))
% 28.33/28.21 [7581]E(f328(f328(f328(f185(f912(x75811),f912(x75811)),x75812),f169(x75811)),x75813),x75813)+~P107(f328(f328(f239(a911),f328(f191(f912(x75811)),x75813)),f81(a911)))
% 28.33/28.21 [7615]E(f328(f328(f136(x76151),f762(x76152,x76153,x76151)),f328(f328(f153(x76151),x76153),f768(x76152,x76153,x76151))),x76152)+~P107(f328(f328(f330(x76151),x76153),f328(f174(x76151),x76152)))
% 28.33/28.21 [7616]E(f328(f328(f136(x76161),f763(x76162,x76163,x76161)),f328(f328(f153(x76161),x76163),f765(x76162,x76163,x76161))),x76162)+~P107(f328(f328(f330(x76161),x76163),f328(f174(x76161),x76162)))
% 28.33/28.21 [7617]E(f328(f328(f136(x76171),f766(x76172,x76173,x76171)),f328(f328(f153(x76171),x76173),f767(x76172,x76173,x76171))),x76172)+~P107(f328(f328(f330(x76171),x76173),f328(f174(x76171),x76172)))
% 28.33/28.21 [7638]~P30(x76381,x76382,x76383,f246(f918(x76381,a905)))+P30(f912(x76381),f912(x76382),f328(f156(x76381,x76382),x76383),f246(f918(f912(x76381),a905)))
% 28.33/28.21 [7639]~P30(x76391,x76392,x76393,f246(f918(x76391,a905)))+P30(f912(x76391),f912(x76392),f328(f156(x76391,x76392),x76393),f246(f918(f912(x76391),a905)))
% 28.33/28.21 [7786]E(x77861,f328(f328(f83(a911),f328(f328(f84(a911),f328(f255(a911,a911),x77862)),x77863)),f328(f260(a911,a911),x77862)))+~P107(f328(f51(x77861,x77863),x77862))
% 28.33/28.21 [7793]P30(x77931,x77932,x77933,f246(f918(x77931,a905)))+~P30(f912(x77931),f912(x77932),f328(f156(x77931,x77932),x77933),f246(f918(f912(x77931),a905)))
% 28.33/28.21 [7794]P30(x77941,x77942,x77943,f246(f918(x77941,a905)))+~P30(f912(x77941),f912(x77942),f328(f156(x77941,x77942),x77943),f246(f918(f912(x77941),a905)))
% 28.33/28.21 [7837]P107(f328(f328(f330(f918(x78371,a905)),f749(x78372,x78373,x78371)),x78373))+P107(f328(f328(f330(x78371),x78372),f41(f918(x78371,a905),x78373)))
% 28.33/28.21 [7929]P107(f328(f328(f330(f912(x79291)),x79292),f163(x79291,x79293)))+~P107(f328(f328(f330(x79291),f580(x79293,x79292,x79291)),x79293))
% 28.33/28.21 [8035]P37(x80351,x80352,x80353)+~P107(f328(x80352,f328(f328(f166(x80351),x80353),f782(x80353,x80352,x80351))))
% 28.33/28.21 [8059]E(x80591,x80592)+~E(f328(f328(f9(x80593,f918(x80593,a905),a905),f330(x80593)),x80591),f328(f328(f9(x80593,f918(x80593,a905),a905),f330(x80593)),x80592))
% 28.33/28.21 [8067]~P107(f328(f328(f330(f917(x80671,x80671)),x80673),f267(x80671,x80672)))+P107(f328(f328(f330(x80671),f402(x80672,x80673,x80671)),x80672))
% 28.33/28.21 [8069]~P107(f328(f328(f330(x80691),x80693),f40(f918(x80691,a905),x80692)))+P107(f328(f328(f330(f918(x80691,a905)),f776(x80692,x80693,x80691)),x80692))
% 28.33/28.21 [8198]P30(x81981,x81982,f95(x81982,x81981,f246(f918(x81982,a905)),x81983),f246(f918(x81981,a905)))+~E(f328(f311(x81982,x81981,x81983),f246(f918(x81982,a905))),f246(f918(x81981,a905)))
% 28.33/28.21 [8256]~P107(f328(f328(f330(x82561),x82562),f328(f174(x82561),f763(x82563,x82562,x82561))))+~P107(f328(f328(f330(x82561),x82562),f328(f174(x82561),x82563)))
% 28.33/28.21 [8257]~P107(f328(f328(f330(x82571),x82572),f328(f174(x82571),f767(x82573,x82572,x82571))))+~P107(f328(f328(f330(x82571),x82572),f328(f174(x82571),x82573)))
% 28.33/28.21 [8443]E(x84431,f117(x84432))+P107(f328(f328(f330(x84432),f328(f255(x84432,f917(a103,a103)),f328(f277(x84432,x84431),x84433))),f328(f174(x84432),x84431)))
% 28.33/28.21 [8538]~P6(x85381)+E(f328(f144(x85381,x85381,f328(f9(x85381,x85381,x85381),f83(x85381)),x85382),f328(f170(x85381),x85383)),f328(f144(x85381,x85381,f83(x85381),x85382),x85383))
% 28.33/28.21 [8738]~P30(x87382,x87381,x87383,f246(f918(x87382,a905)))+E(f328(f311(x87381,x87382,f95(x87382,x87381,f246(f918(x87382,a905)),x87383)),f246(f918(x87381,a905))),f246(f918(x87382,a905)))
% 28.33/28.21 [9044]~P109(x90441)+E(f328(f174(x90441),f151(x90441,x90441,f7(x90441),x90442,x90443)),f328(f328(f310(x90441),x90442),f328(f174(x90441),x90443)))
% 28.33/28.21 [9053]~E(f328(x90533,f328(f95(x90531,x90532,f246(f918(x90531,a905)),x90533),f839(x90533,x90532,x90531))),f839(x90533,x90532,x90531))+E(f328(f311(x90531,x90532,x90533),f246(f918(x90531,a905))),f246(f918(x90532,a905)))
% 28.33/28.21 [9055]P107(f328(f328(f240(a911),f2(a911)),f716(x90551,x90552,x90553)))+~P107(f328(f328(f330(f917(x90553,x90553)),x90552),f328(f328(f290(x90553,x90553,x90553),x90551),f308(x90553,x90551))))
% 28.33/28.21 [9338]~P64(x93381,x93382)+~P107(f328(f328(f330(f917(x93381,x93381)),f328(f328(f256(x93381,x93381),x93383),x93383)),f328(f328(f290(x93381,x93381,x93381),x93382),f308(x93381,x93382))))
% 28.33/28.21 [9432]~P31(x94322,x94321,x94323,f246(f918(x94322,a905)),f246(f918(x94321,a905)))+P31(x94321,x94322,f95(x94322,x94321,f246(f918(x94322,a905)),x94323),f246(f918(x94321,a905)),f246(f918(x94322,a905)))
% 28.33/28.21 [9464]~E(f328(f328(f106(f918(f917(x94641,x94641),a905)),f328(f288(x94641,x94641),x94642)),f308(x94641,x94642)),f190(f918(f917(x94641,x94641),a905)))+~P107(f328(f328(f330(f917(x94641,x94641)),f328(f328(f256(x94641,x94641),x94643),x94643)),f328(f328(f290(x94641,x94641,x94641),x94642),f308(x94641,x94642))))
% 28.33/28.21 [9644]~P107(f328(f64(x96441),x96442))+P107(f328(f328(f239(a911),f328(f38(x96441),f328(f328(f3(f918(x96441,a905)),x96442),f328(f328(f310(x96441),x96443),f190(f918(x96441,a905)))))),f328(f38(x96441),x96442)))
% 28.33/28.21 [5184]~E(x51843,f117(x51841))+E(f146(x51841,f328(f328(f153(x51841),x51842),x51843)),x51842)
% 28.33/28.21 [5185]~E(x51853,f117(x51851))+E(f146(x51851,f328(f328(f153(x51851),x51852),x51853)),x51852)
% 28.33/28.21 [5193]~E(x51933,f117(x51931))+E(f118(x51931,f328(f328(f153(x51931),x51932),x51933)),f117(x51931))
% 28.33/28.21 [5222]E(x52221,f117(x52222))+E(f146(x52222,f328(f328(f136(x52222),x52223),x52221)),f146(x52222,x52221))
% 28.33/28.21 [5223]E(x52231,f117(x52232))+E(f146(x52232,f328(f328(f136(x52232),x52233),x52231)),f146(x52232,x52231))
% 28.33/28.21 [5224]E(x52241,f117(x52242))+E(f146(x52242,f328(f328(f153(x52242),x52243),x52241)),f146(x52242,x52241))
% 28.33/28.21 [5225]E(x52251,f117(x52252))+E(f146(x52252,f328(f328(f153(x52252),x52253),x52251)),f146(x52252,x52251))
% 28.33/28.21 [5230]~E(x52303,f117(x52301))+E(f146(x52301,f328(f328(f136(x52301),x52302),x52303)),f146(x52301,x52302))
% 28.33/28.21 [5231]~E(x52313,f117(x52311))+E(f146(x52311,f328(f328(f136(x52311),x52312),x52313)),f146(x52311,x52312))
% 28.33/28.21 [5232]~E(x52323,f117(x52321))+E(f118(x52321,f328(f328(f136(x52321),x52322),x52323)),f118(x52321,x52322))
% 28.33/28.21 [5264]E(x52641,f117(x52642))+E(f328(f143(x52642),f328(f328(f136(x52642),x52641),x52643)),f328(f143(x52642),x52641))
% 28.33/28.21 [5265]E(x52651,f117(x52652))+E(f328(f143(x52652),f328(f328(f136(x52652),x52651),x52653)),f328(f143(x52652),x52651))
% 28.33/28.21 [5294]~E(x52942,f117(x52941))+E(f328(f143(x52941),f328(f328(f136(x52941),x52942),x52943)),f328(f143(x52941),x52943))
% 28.33/28.21 [5345]~P109(x53451)+E(f328(f328(f243(x53451),x53452),f328(f328(f238(x53451),x53452),x53453)),x53452)
% 28.33/28.21 [5346]~P109(x53461)+E(f328(f328(f238(x53461),x53462),f328(f328(f243(x53461),x53462),x53463)),x53462)
% 28.33/28.21 [5347]~P101(x53471)+E(f328(f328(f105(x53471),x53472),f328(f328(f106(x53471),x53472),x53473)),x53472)
% 28.33/28.21 [5348]~P101(x53481)+E(f328(f328(f106(x53481),x53482),f328(f328(f105(x53481),x53482),x53483)),x53482)
% 28.33/28.21 [5367]~P8(x53671)+E(f48(x53671,f328(f328(f84(x53671),x53672),x53673),x53673),f2(x53671))
% 28.33/28.21 [5368]~P8(x53681)+E(f48(x53681,f328(f328(f84(x53681),x53682),x53683),x53682),f2(x53681))
% 28.33/28.21 [5445]~P7(x54451)+E(f328(f82(x54451),f328(f328(f3(x54451),x54452),x54453)),f328(f328(f3(x54451),x54453),x54452))
% 28.33/28.21 [5507]E(x55071,f117(x55072))+E(f118(x55072,f328(f328(f136(x55072),x55073),x55071)),f328(f328(f136(x55072),x55073),f118(x55072,x55071)))
% 28.33/28.21 [5508]E(x55081,f117(x55082))+E(f118(x55082,f328(f328(f153(x55082),x55083),x55081)),f328(f328(f153(x55082),x55083),f118(x55082,x55081)))
% 28.33/28.21 [5511]~P10(x55111)+E(f40(x55111,f328(f328(f310(x55111),x55112),x55113)),f328(f328(f105(x55111),x55112),f40(x55111,x55113)))
% 28.33/28.21 [5512]~P10(x55121)+E(f41(x55121,f328(f328(f310(x55121),x55122),x55123)),f328(f328(f106(x55121),x55122),f41(x55121,x55123)))
% 28.33/28.21 [5555]~P97(x55551)+E(f328(f328(f84(x55551),x55552),f328(f328(f84(x55551),x55552),x55553)),f328(f328(f84(x55551),x55552),x55553))
% 28.33/28.21 [5556]~P109(x55561)+E(f328(f328(f243(x55561),x55562),f328(f328(f243(x55561),x55562),x55563)),f328(f328(f243(x55561),x55562),x55563))
% 28.33/28.21 [5557]~P109(x55571)+E(f328(f328(f243(x55571),x55572),f328(f328(f243(x55571),x55572),x55573)),f328(f328(f243(x55571),x55572),x55573))
% 28.33/28.21 [5558]~P109(x55581)+E(f328(f328(f238(x55581),x55582),f328(f328(f238(x55581),x55582),x55583)),f328(f328(f238(x55581),x55582),x55583))
% 28.33/28.21 [5559]~P109(x55591)+E(f328(f328(f238(x55591),x55592),f328(f328(f238(x55591),x55592),x55593)),f328(f328(f238(x55591),x55592),x55593))
% 28.33/28.21 [5560]~P100(x55601)+E(f328(f328(f105(x55601),x55602),f328(f328(f105(x55601),x55602),x55603)),f328(f328(f105(x55601),x55602),x55603))
% 28.33/28.21 [5561]~P100(x55611)+E(f328(f328(f105(x55611),x55612),f328(f328(f105(x55611),x55612),x55613)),f328(f328(f105(x55611),x55612),x55613))
% 28.33/28.21 [5562]~P101(x55621)+E(f328(f328(f105(x55621),x55622),f328(f328(f105(x55621),x55622),x55623)),f328(f328(f105(x55621),x55622),x55623))
% 28.33/28.21 [5563]~P101(x55631)+E(f328(f328(f106(x55631),x55632),f328(f328(f106(x55631),x55632),x55633)),f328(f328(f106(x55631),x55632),x55633))
% 28.33/28.21 [5564]~P104(x55641)+E(f328(f328(f106(x55641),x55642),f328(f328(f106(x55641),x55642),x55643)),f328(f328(f106(x55641),x55642),x55643))
% 28.33/28.21 [5565]~P104(x55651)+E(f328(f328(f106(x55651),x55652),f328(f328(f106(x55651),x55652),x55653)),f328(f328(f106(x55651),x55652),x55653))
% 28.33/28.21 [5573]~P8(x55731)+E(f48(x55731,f328(f328(f83(x55731),x55732),x55733),x55733),f48(x55731,x55732,x55733))
% 28.33/28.21 [5574]~P8(x55741)+E(f48(x55741,f328(f328(f83(x55741),x55742),x55743),x55742),f48(x55741,x55743,x55742))
% 28.33/28.21 [5582]~P128(x55821)+E(f328(f328(f84(x55821),x55822),f328(f82(x55821),x55823)),f328(f82(x55821),f328(f328(f84(x55821),x55822),x55823)))
% 28.33/28.21 [5583]~P69(x55831)+E(f328(f328(f291(x55831),x55832),f328(f82(x55831),x55833)),f328(f82(x55831),f328(f328(f291(x55831),x55832),x55833)))
% 28.33/28.21 [5584]~P79(x55841)+E(f328(f328(f83(x55841),x55842),f328(f167(x55841),x55843)),f328(f167(x55841),f328(f328(f153(x55841),x55842),x55843)))
% 28.33/28.21 [5613]~P128(x56131)+E(f328(f328(f84(x56131),f328(f82(x56131),x56132)),x56133),f328(f328(f84(x56131),x56132),f328(f82(x56131),x56133)))
% 28.33/28.21 [5619]~P13(x56191,x56192,x56193)+E(f40(f918(x56191,a905),f328(f328(f63(x56191),x56192),x56193)),x56192)
% 28.33/28.21 [5683]~P114(x56831)+E(f328(f328(f84(x56831),x56832),f328(f328(f248(x56831),x56832),x56833)),f328(f328(f248(x56831),x56832),f328(a116,x56833)))
% 28.33/28.21 [5684]~P117(x56841)+E(f328(f328(f84(x56841),x56842),f328(f328(f248(x56841),x56842),x56843)),f328(f328(f248(x56841),x56842),f328(a116,x56843)))
% 28.33/28.21 [5685]~P114(x56851)+E(f328(f328(f84(x56851),x56852),f328(f328(f248(x56851),x56852),x56853)),f328(f328(f248(x56851),x56852),f328(a116,x56853)))
% 28.33/28.21 [5695]~P77(x56951)+E(f328(f328(f83(x56951),f328(f82(x56951),x56952)),f328(f328(f83(x56951),x56952),x56953)),x56953)
% 28.33/28.21 [5718]~P108(x57181)+E(f328(f328(f248(x57181),f328(f104(x57181),x57182)),x57183),f328(f104(x57181),f328(f328(f248(a911),x57182),x57183)))
% 28.33/28.21 [5719]~P140(x57191)+E(f328(f328(f248(x57191),f328(f107(x57191),x57192)),x57193),f328(f107(x57191),f328(f328(f248(a1),x57192),x57193)))
% 28.33/28.21 [5725]~P86(x57251)+E(f328(f79(x57251),f328(f328(f3(x57251),x57252),x57253)),f328(f79(x57251),f328(f328(f3(x57251),x57253),x57252)))
% 28.33/28.21 [5727]~P113(x57271)+E(f328(f328(f84(x57271),f85(x57271,x57272)),f85(x57271,x57273)),f85(x57271,f328(f328(f84(x57271),x57272),x57273)))
% 28.33/28.21 [5731]E(x57311,f117(x57312))+E(f328(f328(f136(x57312),f328(f173(x57312),x57311)),x57313),f328(f173(x57312),f328(f328(f136(x57312),x57311),x57313)))
% 28.33/28.21 [5736]~E(x57362,f328(a116,f328(f328(f83(a911),x57361),x57363)))+P107(f328(f328(f240(a911),x57361),x57362))
% 28.33/28.21 [5737]~P128(x57371)+E(f328(f328(f84(x57371),f328(f82(x57371),x57372)),x57373),f328(f82(x57371),f328(f328(f84(x57371),x57372),x57373)))
% 28.33/28.21 [5738]~P121(x57381)+E(f328(f328(f291(x57381),f328(f82(x57381),x57382)),x57383),f328(f82(x57381),f328(f328(f291(x57381),x57382),x57383)))
% 28.33/28.21 [5739]~P113(x57391)+E(f328(f328(f248(x57391),f328(f79(x57391),x57392)),x57393),f328(f79(x57391),f328(f328(f248(x57391),x57392),x57393)))
% 28.33/28.21 [5838]E(f358(x58381,x58382,x58383),f359(x58381,x58382,x58383))+E(f328(f328(f106(f918(x58383,a905)),x58382),x58381),f190(f918(x58383,a905)))
% 28.33/28.21 [5853]~P78(x58532)+E(f328(f328(f11(x58531,x58532),f328(f18(x58532,x58531),f81(x58532))),x58533),f81(x58532))
% 28.33/28.21 [5854]~P76(x58542)+E(f328(f328(f8(x58541,x58542),f328(f18(x58542,x58541),f2(x58542))),x58543),f2(x58542))
% 28.33/28.21 [5856]~P108(x58561)+E(f328(f328(f83(x58561),f328(f104(x58561),x58562)),f328(f104(x58561),x58563)),f328(f104(x58561),f328(f328(f83(a911),x58562),x58563)))
% 28.33/28.21 [5857]~P108(x58571)+E(f328(f328(f84(x58571),f328(f104(x58571),x58572)),f328(f104(x58571),x58573)),f328(f104(x58571),f328(f328(f84(a911),x58572),x58573)))
% 28.33/28.21 [5858]~P140(x58581)+E(f328(f328(f83(x58581),f328(f107(x58581),x58582)),f328(f107(x58581),x58583)),f328(f107(x58581),f328(f328(f83(a1),x58582),x58583)))
% 28.33/28.21 [5859]~P140(x58591)+E(f328(f328(f84(x58591),f328(f107(x58591),x58592)),f328(f107(x58591),x58593)),f328(f107(x58591),f328(f328(f84(a1),x58592),x58593)))
% 28.33/28.21 [5860]~P140(x58601)+E(f328(f328(f3(x58601),f328(f107(x58601),x58602)),f328(f107(x58601),x58603)),f328(f107(x58601),f328(f328(f3(a1),x58602),x58603)))
% 28.33/28.21 [5861]~P94(x58611)+E(f328(f328(f83(x58611),f328(f108(x58611),x58612)),f328(f108(x58611),x58613)),f328(f108(x58611),f328(f328(f83(a1),x58612),x58613)))
% 28.33/28.21 [5862]~P94(x58621)+E(f328(f328(f84(x58621),f328(f108(x58621),x58622)),f328(f108(x58621),x58623)),f328(f108(x58621),f328(f328(f84(a1),x58622),x58623)))
% 28.33/28.21 [5863]~P94(x58631)+E(f328(f328(f3(x58631),f328(f108(x58631),x58632)),f328(f108(x58631),x58633)),f328(f108(x58631),f328(f328(f3(a1),x58632),x58633)))
% 28.33/28.21 [5864]~P94(x58641)+E(f328(f328(f83(x58641),f328(f108(x58641),x58642)),f328(f108(x58641),x58643)),f328(f108(x58641),f328(f328(f83(a1),x58642),x58643)))
% 28.33/28.21 [5865]~P94(x58651)+E(f328(f328(f84(x58651),f328(f108(x58651),x58652)),f328(f108(x58651),x58653)),f328(f108(x58651),f328(f328(f84(a1),x58652),x58653)))
% 28.33/28.21 [5912]~E(x59123,x59122)+P107(f328(f328(f239(f918(x59121,a905)),x59122),x59123))
% 28.33/28.21 [5913]~E(x59132,x59133)+P107(f328(f328(f239(f918(x59131,a905)),x59132),x59133))
% 28.33/28.21 [5914]~E(x59142,x59143)+P107(f328(f328(f239(f918(x59141,a905)),x59142),x59143))
% 28.33/28.21 [5915]~E(x59152,x59153)+P107(f328(f328(f239(f918(x59151,a905)),x59152),x59153))
% 28.33/28.21 [5916]~E(x59162,x59163)+P107(f328(f328(f239(f918(x59161,a905)),x59162),x59163))
% 28.33/28.21 [5917]~E(x59172,x59173)+P107(f328(f328(f239(f918(x59171,a905)),x59172),x59173))
% 28.33/28.21 [5918]~E(x59182,x59183)+P107(f328(f328(f239(f918(x59181,a905)),x59182),x59183))
% 28.33/28.21 [5923]~P77(x59231)+E(f328(f328(f83(x59231),f328(f82(x59231),x59232)),f328(f82(x59231),x59233)),f328(f82(x59231),f328(f328(f83(x59231),x59233),x59232)))
% 28.33/28.21 [5924]~P7(x59241)+E(f328(f328(f83(x59241),f328(f82(x59241),x59242)),f328(f82(x59241),x59243)),f328(f82(x59241),f328(f328(f83(x59241),x59242),x59243)))
% 28.33/28.21 [5925]~P75(x59251)+E(f328(f328(f238(x59251),f328(f82(x59251),x59252)),f328(f82(x59251),x59253)),f328(f82(x59251),f328(f328(f243(x59251),x59252),x59253)))
% 28.33/28.21 [5926]~P75(x59261)+E(f328(f328(f243(x59261),f328(f82(x59261),x59262)),f328(f82(x59261),x59263)),f328(f82(x59261),f328(f328(f238(x59261),x59262),x59263)))
% 28.33/28.21 [5927]~P96(x59271)+E(f328(f328(f106(x59271),f328(f82(x59271),x59272)),f328(f82(x59271),x59273)),f328(f82(x59271),f328(f328(f105(x59271),x59272),x59273)))
% 28.33/28.21 [5928]~P96(x59281)+E(f328(f328(f105(x59281),f328(f82(x59281),x59282)),f328(f82(x59281),x59283)),f328(f82(x59281),f328(f328(f106(x59281),x59282),x59283)))
% 28.33/28.21 [5929]~P113(x59291)+E(f328(f328(f84(x59291),f328(f79(x59291),x59292)),f328(f79(x59291),x59293)),f328(f79(x59291),f328(f328(f84(x59291),x59292),x59293)))
% 28.33/28.21 [5930]~P71(x59301)+E(f328(f328(f291(x59301),f328(f79(x59301),x59302)),f328(f79(x59301),x59303)),f328(f79(x59301),f328(f328(f291(x59301),x59302),x59303)))
% 28.33/28.21 [5931]~P79(x59311)+E(f328(f328(f83(x59311),f328(f167(x59311),x59312)),f328(f167(x59311),x59313)),f328(f167(x59311),f328(f328(f136(x59311),x59312),x59313)))
% 28.33/28.21 [5932]E(x59321,f190(f918(x59322,a905)))+~E(f328(f328(f105(f918(x59322,a905)),x59323),x59321),f190(f918(x59322,a905)))
% 28.33/28.21 [5933]E(x59331,f190(f918(x59332,a905)))+~E(f328(f328(f105(f918(x59332,a905)),x59331),x59333),f190(f918(x59332,a905)))
% 28.33/28.21 [5934]~P148(x59341,x59342,x59343)+P107(f328(x59341,f328(f328(f39(a1),x59342),x59343)))
% 28.33/28.21 [5992]~P107(f328(f64(x59921),x59923))+P107(f328(f64(x59921),f328(f328(f310(x59921),x59922),x59923)))
% 28.33/28.21 [5993]~P107(f328(f64(x59931),x59933))+P107(f328(f64(x59931),f328(f328(f310(x59931),x59932),x59933)))
% 28.33/28.21 [5994]~P107(f328(f139(x59941),x59943))+P107(f328(f139(x59941),f328(f328(f177(x59941),x59942),x59943)))
% 28.33/28.21 [5995]~P107(f328(f139(x59951),x59953))+P107(f328(f139(x59951),f328(f328(f140(x59951),x59952),x59953)))
% 28.33/28.21 [6024]~P109(x60241)+P107(f328(f328(f239(x60241),x60242),f328(f328(f238(x60241),x60243),x60242)))
% 28.33/28.21 [6025]~P109(x60251)+P107(f328(f328(f239(x60251),x60252),f328(f328(f238(x60251),x60252),x60253)))
% 28.33/28.21 [6026]~P100(x60261)+P107(f328(f328(f239(x60261),x60262),f328(f328(f105(x60261),x60263),x60262)))
% 28.33/28.21 [6027]~P101(x60271)+P107(f328(f328(f239(x60271),x60272),f328(f328(f105(x60271),x60273),x60272)))
% 28.33/28.21 [6028]~P100(x60281)+P107(f328(f328(f239(x60281),x60282),f328(f328(f105(x60281),x60282),x60283)))
% 28.33/28.21 [6029]~P101(x60291)+P107(f328(f328(f239(x60291),x60292),f328(f328(f105(x60291),x60292),x60293)))
% 28.33/28.21 [6043]~E(x60431,f2(a911))+E(f328(f328(f39(a911),f328(f328(f84(a911),x60431),x60432)),f328(f328(f84(a911),x60431),x60433)),f2(a911))
% 28.33/28.21 [6109]P107(f328(x61091,x61092))+P107(f328(f328(f196(f33(x61091,x61093)),x61092),x61092))
% 28.33/28.21 [6110]P107(f328(x61101,x61102))+P107(f328(f328(f196(f33(x61101,x61103)),x61102),x61102))
% 28.33/28.21 [6124]~P94(x61241)+E(f328(f328(f3(x61241),f328(f108(x61241),x61242)),f328(f108(x61241),x61243)),f328(f108(x61241),f328(f328(f83(a1),x61242),f328(f82(a1),x61243))))
% 28.33/28.21 [6182]E(x61821,f2(a911))+E(f328(f328(f39(a911),f328(f328(f84(a911),x61821),x61822)),f328(f328(f84(a911),x61821),x61823)),f328(f328(f39(a911),x61822),x61823))
% 28.33/28.21 [6214]E(f154(x62141,f328(f328(f153(x62141),x62142),x62143)),f328(f328(f153(x62141),x62142),f154(x62141,x62143)))+P107(f328(f328(f330(x62141),x62142),f328(f174(x62141),x62143)))
% 28.33/28.21 [6250]P148(x62501,x62502,x62503)+~P107(f328(x62501,f328(f328(f39(a1),x62502),x62503)))
% 28.33/28.21 [6321]E(x63211,f117(x63212))+E(f328(f328(f153(x63212),f328(f143(x63212),x63211)),f328(f328(f177(x63212),x63213),f328(f173(x63212),x63211))),f328(f328(f177(x63212),f328(a116,x63213)),x63211))
% 28.33/28.21 [6328]E(f328(f328(f3(f918(x63281,a905)),x63282),x63283),x63282)+~E(f328(f328(f106(f918(x63281,a905)),x63282),x63283),f190(f918(x63281,a905)))
% 28.33/28.21 [6342]E(f154(x63421,f328(f328(f153(x63421),x63422),x63423)),f154(x63421,x63423))+~P107(f328(f328(f330(x63421),x63422),f328(f174(x63421),x63423)))
% 28.33/28.21 [6371]~P107(f328(f328(f240(a911),x63711),x63713))+P107(f328(f328(f240(a911),x63711),f328(f328(f83(a911),x63712),x63713)))
% 28.33/28.21 [6372]~P107(f328(f328(f240(a911),x63721),x63723))+P107(f328(f328(f240(a911),x63721),f328(f328(f83(a911),x63722),x63723)))
% 28.33/28.21 [6373]~P107(f328(f328(f240(a911),x63731),x63732))+P107(f328(f328(f240(a911),x63731),f328(f328(f83(a911),x63732),x63733)))
% 28.33/28.21 [6374]~P107(f328(f328(f240(a911),x63741),x63742))+P107(f328(f328(f240(a911),x63741),f328(f328(f83(a911),x63742),x63743)))
% 28.33/28.21 [6375]~P107(f328(f328(f239(a911),x63751),x63753))+P107(f328(f328(f239(a911),x63751),f328(f328(f83(a911),x63752),x63753)))
% 28.33/28.21 [6376]~P107(f328(f328(f239(a911),x63761),x63763))+P107(f328(f328(f239(a911),x63761),f328(f328(f83(a911),x63762),x63763)))
% 28.33/28.21 [6377]~P107(f328(f328(f239(a911),x63771),x63772))+P107(f328(f328(f239(a911),x63771),f328(f328(f83(a911),x63772),x63773)))
% 28.33/28.21 [6378]~P107(f328(f328(f239(a911),x63781),x63782))+P107(f328(f328(f239(a911),x63781),f328(f328(f83(a911),x63782),x63783)))
% 28.33/28.21 [6416]P107(f328(f64(x64161),x64162))+~P107(f328(f64(x64161),f328(f328(f310(x64161),x64163),x64162)))
% 28.33/28.21 [6417]P107(f328(f139(x64171),x64172))+~P107(f328(f139(x64171),f328(f328(f136(x64171),x64173),x64172)))
% 28.33/28.21 [6418]P107(f328(f139(x64181),x64182))+~P107(f328(f139(x64181),f328(f328(f136(x64181),x64182),x64183)))
% 28.33/28.21 [6419]P107(f328(f139(x64191),x64192))+~P107(f328(f139(x64191),f328(f328(f153(x64191),x64193),x64192)))
% 28.33/28.21 [6468]~P114(x64681)+E(f328(f328(f83(x64681),x64682),f328(f328(f84(x64681),x64683),x64682)),f328(f328(f84(x64681),f328(f328(f83(x64681),x64683),f81(x64681))),x64682))
% 28.33/28.21 [6514]~E(x65141,x65142)+~P107(f328(f328(f240(f918(x65143,a905)),x65141),x65142))
% 28.33/28.21 [6558]P107(f328(f328(f330(x65581),x65582),x65583))+P107(f328(f328(f330(x65581),x65582),f328(f82(f918(x65581,a905)),x65583)))
% 28.33/28.21 [6559]P107(f328(f328(f330(x65591),x65592),x65593))+P107(f328(f328(f330(x65591),x65592),f328(f82(f918(x65591,a905)),x65593)))
% 28.33/28.21 [6565]E(f146(x65651,f328(f328(f140(x65651),x65652),x65653)),f146(x65651,x65653))+~P107(f328(f328(f240(a911),x65652),f328(f191(f912(x65651)),x65653)))
% 28.33/28.21 [6566]E(f328(f328(f177(x65661),x65662),f118(x65661,x65663)),f328(f328(f177(x65661),x65662),x65663))+~P107(f328(f328(f240(a911),x65662),f328(f191(f912(x65661)),x65663)))
% 28.33/28.21 [6621]E(f328(f328(f328(f185(f912(x66211),f912(x66211)),x66212),f169(x66211)),x66213),x66213)+~E(f48(a911,x66212,f328(f191(f912(x66211)),x66213)),f2(a911))
% 28.33/28.21 [6630]~P13(x66301,x66303,x66302)+E(f328(f328(f290(x66301,x66301,x66301),f328(f288(x66301,x66301),x66302)),x66302),x66302)
% 28.33/28.21 [6672]~E(f328(f328(f105(f918(x66721,a905)),x66722),x66723),x66723)+P107(f328(f328(f239(f918(x66721,a905)),x66722),x66723))
% 28.33/28.21 [6677]~P61(x66771,x66771,x66773)+P61(x66771,x66771,f328(f328(f185(f917(x66771,x66771),a905),x66772),x66773))
% 28.33/28.21 [6680]~P107(f328(f328(f330(x66801),x66803),f328(f174(x66801),x66802)))+P107(f328(f328(f240(a911),f2(a911)),f328(f191(f912(x66801)),x66802)))
% 28.33/28.21 [6695]~E(x66952,x66953)+P107(f328(f328(f330(x66951),x66952),f328(f328(f310(x66951),x66953),f190(f918(x66951,a905)))))
% 28.33/28.21 [6708]~P86(x67081)+E(f328(f79(x67081),f328(f328(f83(x67081),f328(f79(x67081),x67082)),f328(f79(x67081),x67083))),f328(f328(f83(x67081),f328(f79(x67081),x67082)),f328(f79(x67081),x67083)))
% 28.33/28.21 [6719]E(f328(f328(f39(a911),f328(f328(f84(a911),x67191),x67192)),f328(f328(f84(a911),x67191),x67193)),f328(f328(f39(a911),x67192),x67193))+~P107(f328(f328(f240(a911),f2(a911)),x67191))
% 28.33/28.21 [6854]~P107(f328(f64(x68541),x68543))+E(f328(f328(f67(x68541,f918(x68541,a905),f310(x68541)),x68542),x68543),f328(f328(f105(f918(x68541,a905)),x68543),x68542))
% 28.33/28.21 [6910]E(f328(f328(f105(f918(x69101,a905)),x69102),x69103),x69102)+~P107(f328(f328(f239(f918(x69101,a905)),x69103),x69102))
% 28.33/28.21 [6911]E(f328(f328(f105(f918(x69111,a905)),x69112),x69113),x69113)+~P107(f328(f328(f239(f918(x69111,a905)),x69112),x69113))
% 28.33/28.21 [6912]E(f328(f328(f105(f918(x69121,a905)),x69122),x69123),x69123)+~P107(f328(f328(f239(f918(x69121,a905)),x69122),x69123))
% 28.33/28.21 [6913]E(f328(f328(f106(f918(x69131,a905)),x69132),x69133),x69133)+~P107(f328(f328(f239(f918(x69131,a905)),x69133),x69132))
% 28.33/28.21 [6914]E(f328(f328(f106(f918(x69141,a905)),x69142),x69143),x69142)+~P107(f328(f328(f239(f918(x69141,a905)),x69142),x69143))
% 28.33/28.21 [6964]~P107(f328(f139(x69641),x69642))+E(f328(f328(f3(f918(x69641,a905)),f328(f174(x69641),x69642)),f328(f328(f310(x69641),x69643),f190(f918(x69641,a905)))),f328(f174(x69641),f172(x69641,x69643,x69642)))
% 28.33/28.21 [7016]P43(x70161,x70162)+~P43(x70161,f328(f328(f185(f917(x70161,x70161),a905),x70163),x70162))
% 28.33/28.21 [7083]P107(f328(f52(x70831,x70832),f328(a54,x70833)))+~P107(f328(f52(f328(f82(a1),x70831),f328(f82(a1),x70832)),x70833))
% 28.33/28.21 [7088]E(f328(f328(f3(f918(x70881,a905)),f328(f328(f310(x70881),x70882),x70883)),f328(f328(f310(x70881),x70882),f190(f918(x70881,a905)))),x70883)+P107(f328(f328(f330(x70881),x70882),x70883))
% 28.33/28.21 [7109]E(f328(f328(f106(f918(x71091,a905)),f328(f174(x71091),x71092)),f328(f174(x71091),x71093)),f190(f918(x71091,a905)))+~P107(f328(f139(x71091),f328(f328(f136(x71091),x71092),x71093)))
% 28.33/28.21 [7124]~P107(f328(f328(f330(x71241),x71242),f328(f174(x71241),x71243)))+~P107(f328(f139(x71241),f328(f328(f153(x71241),x71242),x71243)))
% 28.33/28.21 [7193]P37(x71931,x71932,x71933)+P107(f328(f328(f240(a911),f782(x71933,x71932,x71931)),f328(f191(f912(x71931)),x71933)))
% 28.33/28.21 [7203]E(f328(f328(f106(f918(x72031,a905)),x72032),x72033),f190(f918(x72031,a905)))+P107(f328(f328(f330(x72031),f358(x72033,x72032,x72031)),x72032))
% 28.33/28.21 [7204]E(f328(f328(f106(f918(x72041,a905)),x72042),x72043),f190(f918(x72041,a905)))+P107(f328(f328(f330(x72041),f359(x72043,x72042,x72041)),x72043))
% 28.33/28.21 [7207]E(f118(x72071,f328(f328(f177(x72071),x72072),x72073)),f328(f328(f177(x72071),f328(f328(f3(a911),x72072),f81(a911))),x72073))+~P107(f328(f328(f239(a911),x72072),f328(f191(f912(x72071)),x72073)))
% 28.33/28.21 [7266]~P39(x72663,x72662,x72661)+P107(f328(f328(f240(a911),f748(x72661,x72662,x72663)),f328(f191(f912(x72663)),x72661)))
% 28.33/28.21 [7284]P107(f328(f328(f240(a911),f2(a911)),x72841))+P107(f328(f328(f239(a911),f328(f328(f84(a911),x72842),x72841)),f328(f328(f84(a911),x72843),x72841)))
% 28.33/28.21 [7285]P107(f328(f328(f240(a911),f2(a911)),x72851))+P107(f328(f328(f239(a911),f328(f328(f84(a911),x72851),x72852)),f328(f328(f84(a911),x72851),x72853)))
% 28.33/28.21 [7286]~P107(f328(f328(f330(x72861),x72862),x72863))+~P107(f328(f328(f330(x72861),x72862),f328(f82(f918(x72861,a905)),x72863)))
% 28.33/28.21 [7287]~P107(f328(f328(f330(x72871),x72872),x72873))+~P107(f328(f328(f330(x72871),x72872),f328(f82(f918(x72871,a905)),x72873)))
% 28.33/28.21 [7288]~P107(f328(f328(f330(x72881),x72882),x72883))+~P107(f328(f328(f330(x72881),x72882),f328(f82(f918(x72881,a905)),x72883)))
% 28.33/28.21 [7292]~P107(f328(f328(f240(f918(x72921,a905)),x72922),x72923))+P107(f328(f328(f239(f918(x72921,a905)),x72922),x72923))
% 28.33/28.21 [7293]~P107(f328(f328(f240(f918(x72931,a905)),x72932),x72933))+P107(f328(f328(f239(f918(x72931,a905)),x72932),x72933))
% 28.33/28.21 [7294]~P107(f328(f328(f240(f918(x72941,a905)),x72942),x72943))+P107(f328(f328(f239(f918(x72941,a905)),x72942),x72943))
% 28.33/28.21 [7405]~P107(f328(f328(f240(a911),x74052),x74053))+P107(f328(f328(f240(a911),f328(f328(f83(a911),x74051),x74052)),f328(f328(f83(a911),x74051),x74053)))
% 28.33/28.21 [7406]~P107(f328(f328(f240(a911),x74061),x74063))+P107(f328(f328(f240(a911),f328(f328(f83(a911),x74061),x74062)),f328(f328(f83(a911),x74063),x74062)))
% 28.33/28.21 [7407]~P107(f328(f328(f240(a1),x74071),x74073))+P107(f328(f328(f240(a1),f328(f328(f83(a1),x74071),x74072)),f328(f328(f83(a1),x74073),x74072)))
% 28.33/28.21 [7410]~P107(f328(f328(f239(a911),x74102),x74103))+P107(f328(f328(f239(a911),f328(f328(f83(a911),x74101),x74102)),f328(f328(f83(a911),x74101),x74103)))
% 28.33/28.21 [7411]~P107(f328(f328(f239(a911),x74111),x74113))+P107(f328(f328(f239(a911),f328(f328(f83(a911),x74111),x74112)),f328(f328(f83(a911),x74113),x74112)))
% 28.33/28.21 [7412]~P107(f328(f328(f239(a911),x74122),x74123))+P107(f328(f328(f239(a911),f328(f328(f84(a911),x74121),x74122)),f328(f328(f84(a911),x74121),x74123)))
% 28.33/28.21 [7413]~P107(f328(f328(f239(a911),x74132),x74133))+P107(f328(f328(f239(a911),f328(f328(f84(a911),x74131),x74132)),f328(f328(f84(a911),x74131),x74133)))
% 28.33/28.21 [7414]~P107(f328(f328(f239(a911),x74141),x74143))+P107(f328(f328(f239(a911),f328(f328(f84(a911),x74141),x74142)),f328(f328(f84(a911),x74143),x74142)))
% 28.33/28.21 [7415]~P107(f328(f328(f239(a911),x74151),x74153))+P107(f328(f328(f239(a911),f328(f328(f84(a911),x74151),x74152)),f328(f328(f84(a911),x74153),x74152)))
% 28.33/28.21 [7416]~P107(f328(f328(f239(a911),x74161),x74163))+P107(f328(f328(f239(a911),f328(f328(f39(a911),x74161),x74162)),f328(f328(f39(a911),x74163),x74162)))
% 28.33/28.21 [7417]~P107(f328(f328(f239(a911),x74173),x74172))+P107(f328(f328(f239(a911),f328(f328(f3(a911),x74171),x74172)),f328(f328(f3(a911),x74171),x74173)))
% 28.33/28.21 [7418]~P107(f328(f328(f239(a911),x74181),x74183))+P107(f328(f328(f239(a911),f328(f328(f3(a911),x74181),x74182)),f328(f328(f3(a911),x74183),x74182)))
% 28.33/28.21 [7419]~P107(f328(f328(f239(a1),x74192),x74193))+P107(f328(f328(f239(a1),f328(f328(f83(a1),x74191),x74192)),f328(f328(f83(a1),x74191),x74193)))
% 28.33/28.21 [7501]E(x75011,x75012)+~P107(f328(f328(f330(x75013),x75011),f328(f328(f310(x75013),x75012),f190(f918(x75013,a905)))))
% 28.33/28.21 [7502]E(x75021,x75022)+~P107(f328(f328(f330(x75023),x75021),f328(f328(f310(x75023),x75022),f190(f918(x75023,a905)))))
% 28.33/28.21 [7504]~E(f328(f328(f106(f918(x75041,a905)),x75042),x75043),f190(f918(x75041,a905)))+P107(f328(f328(f239(f918(x75041,a905)),x75042),f328(f82(f918(x75041,a905)),x75043)))
% 28.33/28.21 [7508]P107(f328(f328(f330(f918(x75081,a905)),x75082),f328(f309(x75081),x75083)))+~P107(f328(f328(f239(f918(x75081,a905)),x75082),x75083))
% 28.33/28.21 [7509]P107(f328(f328(f330(f918(x75091,a905)),x75092),f328(f309(x75091),x75093)))+~P107(f328(f328(f239(f918(x75091,a905)),x75092),x75093))
% 28.33/28.21 [7562]E(f328(f328(f153(x75621),f328(f328(f166(x75621),x75622),x75623)),f328(f328(f140(x75621),f328(a116,x75623)),x75622)),f328(f328(f140(x75621),x75623),x75622))+~P107(f328(f328(f240(a911),x75623),f328(f191(f912(x75621)),x75622)))
% 28.33/28.21 [7591]P107(f328(f328(f330(f917(x75911,x75911)),x75912),f308(x75911,x75913)))+~P107(f328(f328(f330(f917(x75911,x75911)),x75912),x75913))
% 28.33/28.21 [7600]~P107(f328(f328(f330(f918(x76001,a905)),x76002),f328(f309(x76001),x76003)))+P107(f328(f328(f239(f918(x76001,a905)),x76002),x76003))
% 28.33/28.21 [7601]~P107(f328(f328(f330(f918(x76011,a905)),x76012),f328(f309(x76011),x76013)))+P107(f328(f328(f239(f918(x76011,a905)),x76012),x76013))
% 28.33/28.21 [7645]P107(f328(f328(f239(f918(x76451,a905)),x76452),f40(f918(x76451,a905),x76453)))+~P107(f328(f328(f330(f918(x76451,a905)),x76452),x76453))
% 28.33/28.21 [7667]~P140(x76671)+E(f328(f328(f84(x76671),f328(f328(f248(x76671),f328(f82(x76671),f81(x76671))),x76672)),f328(f328(f248(x76671),x76673),x76672)),f328(f328(f248(x76671),f328(f82(x76671),x76673)),x76672))
% 28.33/28.21 [7689]E(f328(f328(f166(x76891),x76892),f328(f328(f3(a911),f328(f191(f912(x76891)),x76892)),f328(a116,x76893))),f328(f328(f166(x76891),f328(f170(x76891),x76892)),x76893))+~P107(f328(f328(f240(a911),x76893),f328(f191(f912(x76891)),x76892)))
% 28.33/28.21 [7706]~E(f328(f328(f106(f918(x77061,a905)),f632(x77063,x77062,x77061)),x77063),f190(f918(x77061,a905)))+E(f328(f328(f106(f918(x77061,a905)),f40(f918(x77061,a905),x77062)),x77063),f190(f918(x77061,a905)))
% 28.33/28.21 [7769]~P107(f328(f328(f330(x77693),x77692),f328(f174(x77693),x77691)))+P107(f328(f328(f240(a911),f578(x77691,x77692,x77693)),f328(f191(f912(x77693)),x77691)))
% 28.33/28.21 [7777]P107(f328(f328(f330(x77771),f328(f328(f166(x77771),x77772),x77773)),f328(f174(x77771),x77772)))+~P107(f328(f328(f240(a911),x77773),f328(f191(f912(x77771)),x77772)))
% 28.33/28.21 [7874]~P107(f328(x78742,f663(x78743,x78742,x78741)))+E(f328(f328(f140(x78741),f328(f191(f912(x78741)),f179(x78741,x78742,x78743))),x78743),f117(x78741))
% 28.33/28.21 [7887]P107(f328(f328(f239(f918(f912(x78871),a905)),f163(x78871,x78872)),f163(x78871,x78873)))+~P107(f328(f328(f239(f918(x78871,a905)),x78872),x78873))
% 28.33/28.21 [7888]P107(f328(f328(f239(f918(f912(x78881),a905)),f162(x78881,x78882)),f162(x78881,x78883)))+~P107(f328(f328(f239(f918(x78881,a905)),x78882),x78883))
% 28.33/28.21 [7916]E(f328(f328(f106(f918(x79161,a905)),f40(f918(x79161,a905),x79162)),x79163),f190(f918(x79161,a905)))+P107(f328(f328(f330(f918(x79161,a905)),f632(x79163,x79162,x79161)),x79162))
% 28.33/28.21 [7918]~P107(f328(f328(f330(f918(x79181,a905)),x79183),x79182))+P107(f328(f328(f239(f918(x79181,a905)),f41(f918(x79181,a905),x79182)),x79183))
% 28.33/28.21 [7920]E(f328(f328(f106(f918(x79201,a905)),x79202),x79203),f190(f918(x79201,a905)))+~P107(f328(f328(f239(f918(x79201,a905)),x79202),f328(f82(f918(x79201,a905)),x79203)))
% 28.33/28.21 [7972]E(f328(f328(f3(a911),f328(f328(f83(a911),f328(f167(a911),x79721)),x79722)),f328(f328(f166(a911),x79721),x79723)),f328(f167(a911),f328(f328(f161(a911,x79721),x79723),x79722)))+~P107(f328(f328(f240(a911),x79723),f328(f191(f912(a911)),x79721)))
% 28.33/28.21 [8023]P107(f328(f328(f240(a911),x80231),x80232))+~P107(f328(f328(f240(a911),f328(f328(f83(a911),x80233),x80231)),f328(f328(f83(a911),x80233),x80232)))
% 28.33/28.21 [8024]P107(f328(f328(f240(a911),x80241),x80242))+~P107(f328(f328(f240(a911),f328(f328(f84(a911),x80243),x80241)),f328(f328(f84(a911),x80243),x80242)))
% 28.33/28.21 [8025]P107(f328(f328(f240(a911),x80251),x80252))+~P107(f328(f328(f240(a911),f328(f328(f84(a911),x80251),x80253)),f328(f328(f84(a911),x80252),x80253)))
% 28.33/28.21 [8028]P107(f328(f328(f239(a911),x80281),x80282))+~P107(f328(f328(f239(a911),f328(f328(f83(a911),x80283),x80281)),f328(f328(f83(a911),x80283),x80282)))
% 28.33/28.21 [8057]P107(f328(f328(f240(a911),f2(a911)),x80571))+~P107(f328(f328(f240(a911),f328(f328(f84(a911),x80572),x80571)),f328(f328(f84(a911),x80573),x80571)))
% 28.33/28.21 [8058]P107(f328(f328(f240(a911),f2(a911)),x80581))+~P107(f328(f328(f240(a911),f328(f328(f84(a911),x80581),x80582)),f328(f328(f84(a911),x80581),x80583)))
% 28.33/28.21 [8133]E(f251(x81331,x81332,x81333),x81332)+~P107(f328(f328(f239(f918(x81331,a905)),x81333),f328(f328(f310(x81331),x81332),f190(f918(x81331,a905)))))
% 28.33/28.21 [8191]~P107(f328(f139(x81911),x81913))+E(f328(f138(x81911,f328(f328(f10(a905,a905,x81911),a323),f328(a325,x81912))),x81913),f172(x81911,x81912,x81913))
% 28.33/28.21 [8216]E(f328(f328(f140(x82161),f328(f191(f912(x82161)),f179(x82161,x82162,x82163))),x82163),f117(x82161))+P107(f328(f328(f330(x82161),f663(x82163,x82162,x82161)),f328(f174(x82161),x82163)))
% 28.33/28.21 [8221]E(f328(f328(f136(x82211),f328(f328(f177(x82211),x82212),x82213)),f328(f328(f153(x82211),f328(f328(f166(x82211),x82213),x82212)),f117(x82211))),f328(f328(f177(x82211),f328(a116,x82212)),x82213))+~P107(f328(f328(f240(a911),x82212),f328(f191(f912(x82211)),x82213)))
% 28.33/28.21 [8284]E(f328(f138(x82841,f328(f328(f10(a905,a905,x82841),a323),f328(a325,x82842))),x82843),x82843)+P107(f328(f328(f330(x82841),x82842),f328(f174(x82841),x82843)))
% 28.33/28.21 [8290]P107(f328(f328(f239(f918(f918(x82901,a905),a905)),f252(x82901,x82902)),f252(x82901,x82903)))+~P107(f328(f328(f239(f918(x82901,a905)),x82902),x82903))
% 28.33/28.21 [8330]~P107(f328(f139(x83301),x83303))+P107(f328(f139(x83301),f328(f328(f328(f185(f912(x83301),f912(x83301)),x83302),f169(x83301)),x83303)))
% 28.33/28.21 [8335]~P107(f328(f328(f240(a911),x83352),x83353))+P107(f328(f328(f240(a911),f328(f328(f84(a911),f328(a116,x83351)),x83352)),f328(f328(f84(a911),f328(a116,x83351)),x83353)))
% 28.33/28.21 [8336]~P107(f328(f328(f239(a911),x83362),x83363))+P107(f328(f328(f239(a911),f328(f328(f84(a911),f328(a116,x83361)),x83362)),f328(f328(f84(a911),f328(a116,x83361)),x83363)))
% 28.33/28.21 [8357]P107(f328(f328(f239(f918(f918(x83571,a905),a905)),f328(f309(x83571),x83572)),f328(f309(x83571),x83573)))+~P107(f328(f328(f239(f918(x83571,a905)),x83572),x83573))
% 28.33/28.21 [8426]~E(f328(f311(x84261,x84262,x84263),f246(f918(x84261,a905))),f246(f918(x84262,a905)))+E(f328(f76(x84261,x84262,x84262,x84263),f95(x84261,x84262,f246(f918(x84261,a905)),x84263)),f35(x84262))
% 28.33/28.21 [8518]~P107(f328(f328(f239(f918(x85181,a905)),x85183),x85182))+P107(f328(f328(f239(f918(x85181,a905)),f328(f82(f918(x85181,a905)),x85182)),f328(f82(f918(x85181,a905)),x85183)))
% 28.33/28.21 [8519]~P107(f328(f328(f239(f918(x85191,a905)),x85193),x85192))+P107(f328(f328(f239(f918(x85191,a905)),f328(f82(f918(x85191,a905)),x85192)),f328(f82(f918(x85191,a905)),x85193)))
% 28.33/28.21 [8554]E(f328(f311(a911,a911,f328(f328(f9(a911,a911,a911),f3(a911)),x85541)),f328(f303(a911,x85542),x85543)),f328(f303(a911,f328(f328(f3(a911),x85542),x85541)),f328(f328(f3(a911),x85543),x85541)))+~P107(f328(f328(f240(a911),x85541),x85543))
% 28.33/28.21 [8581]~P79(x85811)+E(f328(f328(f83(x85811),x85812),f328(f144(x85811,x85811,f83(x85811),f2(x85811)),x85813)),f328(f144(x85811,x85811,f83(x85811),x85812),x85813))
% 28.33/28.21 [8665]~P86(x86651)+P107(f328(f328(f239(x86651),f328(f79(x86651),f328(f328(f83(x86651),x86652),x86653))),f328(f328(f83(x86651),f328(f79(x86651),x86652)),f328(f79(x86651),x86653))))
% 28.33/28.21 [8666]~P86(x86661)+P107(f328(f328(f239(x86661),f328(f79(x86661),f328(f328(f3(x86661),x86662),x86663))),f328(f328(f83(x86661),f328(f79(x86661),x86662)),f328(f79(x86661),x86663))))
% 28.33/28.21 [8677]E(f328(f328(f83(a1),f328(f328(f84(a1),x86771),f48(a1,f328(f328(f39(a1),x86772),x86771),x86773))),f48(a1,x86772,x86771)),f48(a1,x86772,f328(f328(f84(a1),x86771),x86773)))+~P107(f328(f328(f240(a1),f2(a1)),x86773))
% 28.33/28.21 [8683]E(f328(f328(f136(x86831),f328(f328(f177(x86831),x86832),x86833)),f328(f328(f153(x86831),f328(f143(x86831),f328(f328(f140(x86831),x86832),x86833))),f117(x86831))),f328(f328(f177(x86831),f328(a116,x86832)),x86833))+~P107(f328(f328(f240(a911),x86832),f328(f191(f912(x86831)),x86833)))
% 28.33/28.21 [8702]E(f328(f272(x87021,f328(f328(f156(x87021,f917(a103,x87021)),f328(f256(a103,x87021),f81(a103))),x87022)),f328(a5,x87023)),f328(f328(f166(x87021),x87022),x87023))+~P107(f328(f328(f240(a911),x87023),f328(f191(f912(x87021)),x87022)))
% 28.33/28.21 [8768]P107(f328(f328(f330(f917(x87681,x87681)),x87682),f328(f328(f290(x87681,x87681,x87681),x87683),f308(x87681,x87683))))+~P107(f328(f328(f330(f917(x87681,x87681)),x87682),x87683))
% 28.33/28.21 [8779]E(f328(f311(x87791,x87792,x87793),f246(f918(x87791,a905))),f246(f918(x87792,a905)))+~E(f328(f76(x87791,x87792,x87792,x87793),f95(x87791,x87792,f246(f918(x87791,a905)),x87793)),f35(x87792))
% 28.33/28.21 [8788]P107(f328(f328(f240(a911),x87881),x87882))+~P107(f328(f328(f240(a911),f328(f328(f84(a911),f328(a116,x87883)),x87881)),f328(f328(f84(a911),f328(a116,x87883)),x87882)))
% 28.33/28.21 [8789]P107(f328(f328(f239(a911),x87891),x87892))+~P107(f328(f328(f239(a911),f328(f328(f84(a911),f328(a116,x87893)),x87891)),f328(f328(f84(a911),f328(a116,x87893)),x87892)))
% 28.33/28.21 [8804]P107(f328(f328(f239(f918(x88041,a905)),x88042),x88043))+~P107(f328(f328(f239(f918(x88041,a905)),f328(f82(f918(x88041,a905)),x88043)),f328(f82(f918(x88041,a905)),x88042)))
% 28.33/28.21 [8823]P107(f328(f139(x88231),x88232))+~P107(f328(f139(x88231),f328(f328(f328(f185(f912(x88231),f912(x88231)),x88233),f169(x88231)),x88232)))
% 28.33/28.21 [8893]E(f328(f287(x88931,x88931,f308(x88931,x88932)),x88933),x88933)+~P107(f328(f328(f239(f918(x88931,a905)),f328(f287(x88931,x88931,x88932),x88933)),x88933))
% 28.33/28.21 [8939]~P109(x89391)+P18(x89391,f328(f138(x89391,f328(f328(f9(x89391,x89391,a905),a325),f328(x89392,x89393))),x89393))
% 28.33/28.21 [8944]~P107(f328(f328(f239(a911),x89441),x89442))+P107(f328(f328(f239(a911),x89441),f328(f144(a911,a911,f83(a911),x89442),x89443)))
% 28.33/28.21 [9029]~P107(f328(f328(f330(f917(x90291,x90291)),x90292),f308(x90291,x90293)))+P107(f328(f328(f330(f917(x90291,x90291)),x90292),f328(f328(f185(f917(x90291,x90291),a905),f715(x90293,x90292,x90291)),x90293)))
% 28.33/28.21 [9110]~P79(x91101)+E(f328(f328(f83(x91101),x91102),f328(f144(x91101,x91101,f328(f9(x91101,x91101,x91101),f83(x91101)),f2(x91101)),f328(f170(x91101),x91103))),f328(f144(x91101,x91101,f83(x91101),x91102),x91103))
% 28.33/28.21 [9228]~P31(x92282,x92281,x92283,f246(f918(x92282,a905)),f246(f918(x92281,a905)))+E(f95(x92281,x92282,f246(f918(x92281,a905)),f95(x92282,x92281,f246(f918(x92282,a905)),x92283)),x92283)
% 28.33/28.21 [9383]P61(x93831,x93832,x93833)+P107(f328(f328(f330(f917(x93831,x93832)),f328(f328(f256(x93831,x93832),f720(x93833,x93832,x93831)),f710(x93833,x93832,x93831))),x93833))
% 28.33/28.21 [9384]P61(x93841,x93842,x93843)+P107(f328(f328(f330(f917(x93841,x93842)),f328(f328(f256(x93841,x93842),f720(x93843,x93842,x93841)),f709(x93843,x93842,x93841))),x93843))
% 28.33/28.21 [9449]~P107(f328(f328(f330(f917(x94491,x94491)),x94492),f328(f328(f290(x94491,x94491,x94491),x94493),f308(x94491,x94493))))+P107(f328(f328(f330(f917(x94491,x94491)),x94492),f328(f328(f185(f917(x94491,x94491),a905),f716(x94493,x94492,x94491)),x94493)))
% 28.33/28.21 [9450]~P107(f328(x94501,f328(f328(f166(x94502),x94503),f328(f191(f912(x94502)),f179(x94502,x94501,x94503)))))+~P107(f328(f328(f240(a911),f328(f191(f912(x94502)),f179(x94502,x94501,x94503))),f328(f191(f912(x94502)),x94503)))
% 28.33/28.21 [9537]~P107(f328(f328(f239(f918(x95371,a905)),x95372),x95373))+P107(f328(f328(f239(f918(x95371,a905)),f328(f328(f9(x95371,f918(x95371,a905),a905),f330(x95371)),x95372)),f328(f328(f9(x95371,f918(x95371,a905),a905),f330(x95371)),x95373)))
% 28.33/28.21 [9595]~P107(f328(f328(f330(f917(f918(x95951,a905),f918(x95951,a905))),f328(f328(f256(f918(x95951,a905),f918(x95951,a905)),x95952),x95953)),f315(x95951)))+P107(f328(f328(f240(f918(x95951,a905)),x95952),x95953))
% 28.33/28.21 [9619]P62(x96191,x96192,x96193)+~P107(f328(f328(f330(f917(x96191,x96191)),f328(f328(f256(x96191,x96191),f351(x96193,x96192,x96191)),f350(x96193,x96192,x96191))),x96193))
% 28.33/28.21 [9620]P62(x96201,x96202,x96203)+~P107(f328(f328(f330(f917(x96201,x96201)),f328(f328(f256(x96201,x96201),f350(x96203,x96202,x96201)),f351(x96203,x96202,x96201))),x96203))
% 28.33/28.21 [9656]~P107(f328(f328(f330(f917(f912(x96561),f912(x96561))),f328(f328(f256(f912(x96561),f912(x96561)),x96562),x96562)),f149(x96561,x96563)))+P107(f328(f328(f330(f917(x96561,x96561)),f328(f328(f256(x96561,x96561),f583(x96562,x96563,x96561)),f583(x96562,x96563,x96561))),x96563))
% 28.33/28.21 [9704]P107(f328(f328(f239(f918(x97041,a905)),x97042),x97043))+~P107(f328(f328(f239(f918(x97041,a905)),f328(f328(f9(x97041,f918(x97041,a905),a905),f330(x97041)),x97042)),f328(f328(f9(x97041,f918(x97041,a905),a905),f330(x97041)),x97043)))
% 28.33/28.21 [9784]E(f328(f328(f3(a911),f328(f328(f8(a911,a911),x97841),f328(f284(a911),x97842))),f328(f328(f8(a911,a911),x97843),f328(f284(a911),x97842))),f328(f328(f8(a911,a911),f328(f328(f20(a911,a911,a911),f328(f328(f10(a911,f918(a911,a911),a911),f3(a911)),x97841)),x97843)),f328(f284(a911),x97842)))+~P107(f328(f328(f239(a911),f328(x97843,f492(x97842,x97841,x97843))),f328(x97841,f492(x97842,x97841,x97843))))
% 28.33/28.21 [5774]~P77(x57741)+E(f328(f328(f83(x57741),f328(f328(f3(x57741),x57742),x57743)),x57743),x57742)
% 28.33/28.21 [5775]~P77(x57751)+E(f328(f328(f3(x57751),f328(f328(f83(x57751),x57752),x57753)),x57753),x57752)
% 28.33/28.21 [6001]~P77(x60011)+E(f328(f328(f83(x60011),x60012),f328(f328(f83(x60011),f328(f82(x60011),x60012)),x60013)),x60013)
% 28.33/28.21 [6084]~P84(x60841)+E(f328(f328(f84(x60841),f328(f328(f248(x60841),x60842),x60843)),x60842),f328(f328(f248(x60841),x60842),f328(a116,x60843)))
% 28.33/28.21 [6085]~P114(x60851)+E(f328(f328(f84(x60851),f328(f328(f248(x60851),x60852),x60853)),x60852),f328(f328(f248(x60851),x60852),f328(a116,x60853)))
% 28.33/28.21 [6305]~P113(x63051)+E(f328(f79(x63051),f328(f328(f248(x63051),f328(f82(x63051),x63052)),x63053)),f328(f79(x63051),f328(f328(f248(x63051),x63052),x63053)))
% 28.33/28.21 [6350]~P84(x63501)+E(f328(f328(f84(x63501),f328(f328(f248(x63501),x63502),x63503)),x63502),f328(f328(f84(x63501),x63502),f328(f328(f248(x63501),x63502),x63503)))
% 28.33/28.21 [6407]E(f328(f328(f3(a103),f328(f328(f83(a103),x64071),x64072)),x64073),f276(x64071,x64072,x64073))+~P107(f328(f328(f240(a103),x64072),x64073))
% 28.33/28.21 [6430]~E(f328(f328(f140(x64301),x64303),x64302),f117(x64301))+P107(f328(f328(f239(a911),f328(f191(f912(x64301)),x64302)),x64303))
% 28.33/28.21 [6564]E(f328(f328(f84(a911),f328(f108(a911),x65641)),f328(f328(f84(a911),f328(f108(a911),x65642)),x65643)),f2(a911))+~P107(f328(f328(f240(a1),x65641),a86))
% 28.33/28.21 [6581]~P69(x65811)+E(f328(f328(f248(x65811),f328(f328(f291(x65811),f81(x65811)),x65812)),x65813),f328(f328(f291(x65811),f81(x65811)),f328(f328(f248(x65811),x65812),x65813)))
% 28.33/28.21 [6659]E(f328(f328(f3(a911),f328(f328(f83(a911),x66591),x66592)),x66593),f328(f328(f83(a911),x66591),f328(f328(f3(a911),x66592),x66593)))+~P107(f328(f328(f239(a911),x66593),x66592))
% 28.33/28.21 [6660]E(f328(f328(f3(a911),f328(f328(f83(a911),x66601),x66602)),x66603),f328(f328(f3(a911),x66601),f328(f328(f3(a911),x66603),x66602)))+~P107(f328(f328(f239(a911),x66602),x66603))
% 28.33/28.21 [6661]E(f328(f328(f3(a911),f328(f328(f83(a911),x66611),x66612)),x66613),f328(f328(f83(a911),x66611),f328(f328(f3(a911),x66612),x66613)))+~P107(f328(f328(f239(a911),x66613),x66612))
% 28.33/28.21 [6699]~P109(x66991)+P107(f328(f328(f239(x66991),f328(f328(f243(x66991),x66992),x66993)),x66993))
% 28.33/28.21 [6700]~P109(x67001)+P107(f328(f328(f239(x67001),f328(f328(f243(x67001),x67002),x67003)),x67002))
% 28.33/28.21 [6701]~P101(x67011)+P107(f328(f328(f239(x67011),f328(f328(f106(x67011),x67012),x67013)),x67013))
% 28.33/28.21 [6702]~P104(x67021)+P107(f328(f328(f239(x67021),f328(f328(f106(x67021),x67022),x67023)),x67023))
% 28.33/28.21 [6703]~P101(x67031)+P107(f328(f328(f239(x67031),f328(f328(f106(x67031),x67032),x67033)),x67032))
% 28.33/28.21 [6704]~P104(x67041)+P107(f328(f328(f239(x67041),f328(f328(f106(x67041),x67042),x67043)),x67042))
% 28.33/28.21 [6718]E(f328(f328(f39(a1),f328(f328(f39(a1),x67181),x67182)),x67183),f328(f328(f39(a1),x67181),f328(f328(f84(a1),x67182),x67183)))+~P107(f328(f328(f240(a1),f2(a1)),x67183))
% 28.33/28.21 [6769]~P114(x67691)+E(f328(f328(f83(x67691),f328(f328(f84(x67691),x67692),x67693)),x67693),f328(f328(f84(x67691),f328(f328(f83(x67691),x67692),f81(x67691))),x67693))
% 28.33/28.21 [6770]~P94(x67701)+E(f328(f328(f84(x67701),f328(f82(x67701),f328(f108(x67701),x67702))),x67703),f328(f328(f84(x67701),f328(f108(x67701),f328(f82(a1),x67702))),x67703))
% 28.33/28.21 [6840]~P79(x68401)+E(f328(f167(x68401),f328(f328(f156(x68402,x68401),f328(f18(x68401,x68402),f2(x68401))),x68403)),f2(x68401))
% 28.33/28.21 [6855]E(f328(f328(f83(a911),f328(f108(a911),x68551)),f328(f328(f83(a911),f328(f108(a911),x68552)),x68553)),f328(f328(f83(a911),f328(f108(a911),x68552)),x68553))+~P107(f328(a195,f328(f108(a1),x68551)))
% 28.33/28.21 [6869]~P10(x68691)+E(f40(x68691,f328(f328(f310(x68691),x68692),f328(f328(f310(x68691),x68693),f190(f918(x68691,a905))))),f328(f328(f105(x68691),x68692),x68693))
% 28.33/28.21 [6870]~P10(x68701)+E(f41(x68701,f328(f328(f310(x68701),x68702),f328(f328(f310(x68701),x68703),f190(f918(x68701,a905))))),f328(f328(f106(x68701),x68702),x68703))
% 28.33/28.21 [6893]E(f328(f328(f177(x68931),x68932),x68933),x68933)+~P107(f328(f328(f239(a911),f328(f191(f912(x68931)),x68933)),x68932))
% 28.33/28.21 [6904]E(f328(f328(f140(x69041),x69042),x69043),f117(x69041))+~P107(f328(f328(f239(a911),f328(f191(f912(x69041)),x69043)),x69042))
% 28.33/28.21 [6905]E(f328(f328(f140(x69051),x69052),x69053),f117(x69051))+~P107(f328(f328(f239(a911),f328(f191(f912(x69051)),x69053)),x69052))
% 28.33/28.21 [6915]E(f328(f328(f3(a911),f328(f328(f83(a911),x69151),x69152)),x69153),f328(f328(f83(a911),f328(f328(f3(a911),x69151),x69153)),x69152))+~P107(f328(f328(f239(a911),x69153),x69151))
% 28.33/28.21 [6916]E(f328(f328(f3(a911),f328(f328(f83(a911),x69161),x69162)),x69163),f328(f328(f83(a911),f328(f328(f3(a911),x69161),x69163)),x69162))+~P107(f328(f328(f239(a911),x69163),x69161))
% 28.33/28.21 [6930]~P107(f328(f328(f240(a911),x69301),x69303))+P107(f328(f328(f240(a911),f328(f328(f3(a911),x69301),x69302)),x69303))
% 28.33/28.21 [6958]~P109(x69581)+E(f172(x69581,x69582,f328(f328(f150(x69581,x69581,f7(x69581)),x69582),x69583)),x69583)
% 28.33/28.21 [7045]E(f328(f328(f3(a911),f328(f328(f83(a911),x70451),x70452)),f328(a116,x70453)),f328(f328(f3(a911),x70451),f328(a116,f328(f328(f3(a911),x70453),x70452))))+~P107(f328(f328(f239(a911),x70452),x70453))
% 28.33/28.21 [7046]~P113(x70461)+P107(f328(f328(f239(x70461),f2(x70461)),f328(f328(f248(x70461),f328(f79(x70461),x70462)),x70463)))
% 28.33/28.21 [7093]P29(x70931,x70932,x70933)+~P107(f328(f328(f239(f918(f910(x70931),a905)),x70933),x70932))
% 28.33/28.21 [7135]~P107(f328(f64(x71351),x71352))+P107(f328(f64(x71351),f328(f328(f3(f918(x71351,a905)),x71352),x71353)))
% 28.33/28.21 [7136]~P107(f328(f64(x71361),x71363))+P107(f328(f64(x71361),f328(f328(f106(f918(x71361,a905)),x71362),x71363)))
% 28.33/28.21 [7137]~P107(f328(f64(x71371),x71372))+P107(f328(f64(x71371),f328(f328(f106(f918(x71371,a905)),x71372),x71373)))
% 28.33/28.21 [7274]~P43(x72741,x72743)+P43(x72741,f328(f328(f106(f918(f917(x72741,x72741),a905)),x72742),x72743))
% 28.33/28.21 [7275]~P43(x72751,x72752)+P43(x72751,f328(f328(f106(f918(f917(x72751,x72751),a905)),x72752),x72753))
% 28.33/28.21 [7401]~P101(x74011)+E(f13(x74011,f328(f174(x74011),f328(f328(f153(x74011),x74012),x74013))),f328(f144(x74011,x74011,f106(x74011),x74012),x74013))
% 28.33/28.21 [7402]~P101(x74021)+E(f12(x74021,f328(f174(x74021),f328(f328(f153(x74021),x74022),x74023))),f328(f144(x74021,x74021,f105(x74021),x74022),x74023))
% 28.33/28.21 [7403]~P109(x74031)+E(f16(x74031,f328(f174(x74031),f328(f328(f153(x74031),x74032),x74033))),f328(f144(x74031,x74031,f238(x74031),x74032),x74033))
% 28.33/28.21 [7404]~P109(x74041)+E(f17(x74041,f328(f174(x74041),f328(f328(f153(x74041),x74042),x74043))),f328(f144(x74041,x74041,f243(x74041),x74042),x74043))
% 28.33/28.21 [7469]~P107(f328(f64(x74691),x74692))+P107(f328(f328(f239(a911),f328(f38(x74691),x74692)),f328(f38(x74691),f328(f328(f310(x74691),x74693),x74692))))
% 28.33/28.21 [7476]E(f328(f328(f105(f918(a911,a905)),f328(f303(a911,x74761),x74762)),f328(f303(a911,x74762),f328(f328(f83(a911),x74762),x74763))),f328(f303(a911,x74761),f328(f328(f83(a911),x74762),x74763)))+~P107(f328(f328(f239(a911),x74761),x74762))
% 28.33/28.21 [7485]P107(f328(f328(f240(a911),x74851),x74852))+~P107(f328(f328(f240(a911),f328(f328(f83(a911),x74851),x74853)),x74852))
% 28.33/28.21 [7486]P107(f328(f328(f239(a911),x74861),x74862))+~P107(f328(f328(f239(a911),f328(f328(f83(a911),x74863),x74861)),x74862))
% 28.33/28.21 [7487]P107(f328(f328(f239(a911),x74871),x74872))+~P107(f328(f328(f239(a911),f328(f328(f83(a911),x74871),x74873)),x74872))
% 28.33/28.21 [7488]P107(f328(f328(f239(a911),x74881),x74882))+~P107(f328(f328(f239(a911),f328(f328(f83(a911),x74883),x74881)),x74882))
% 28.33/28.21 [7489]P107(f328(f328(f239(a911),x74891),x74892))+~P107(f328(f328(f239(a911),f328(f328(f83(a911),x74891),x74893)),x74892))
% 28.33/28.21 [7526]~P109(x75261)+E(f14(x75261,f238(x75261),f328(f174(x75261),f328(f328(f153(x75261),x75262),x75263))),f328(f144(x75261,x75261,f238(x75261),x75262),x75263))
% 28.33/28.21 [7527]~P109(x75271)+E(f15(x75271,f243(x75271),f328(f174(x75271),f328(f328(f153(x75271),x75272),x75273))),f328(f144(x75271,x75271,f243(x75271),x75272),x75273))
% 28.33/28.21 [7531]~E(x75312,f190(f918(f917(x75311,x75311),a905)))+P107(f328(f328(f239(f918(f917(x75311,x75311),a905)),x75312),x75313))
% 28.33/28.21 [7640]E(f328(f328(f105(f918(x76401,a905)),x76402),f328(f328(f3(f918(x76401,a905)),x76403),x76402)),x76403)+~P107(f328(f328(f239(f918(x76401,a905)),x76402),x76403))
% 28.33/28.21 [7641]~P107(f328(f328(f240(a911),x76411),f328(f328(f3(a911),x76413),x76412)))+P107(f328(f328(f240(a911),f328(f328(f83(a911),x76411),x76412)),x76413))
% 28.33/28.21 [7642]~P107(f328(f328(f239(a911),x76421),f328(f328(f83(a911),x76423),x76422)))+P107(f328(f328(f239(a911),f328(f328(f3(a911),x76421),x76422)),x76423))
% 28.33/28.21 [7696]E(x76961,f117(x76962))+E(f328(f143(x76962),f328(f328(f328(f185(f912(x76962),f912(x76962)),x76963),f169(x76962)),x76961)),f328(f328(f166(x76962),x76961),f48(a911,x76963,f328(f191(f912(x76962)),x76961))))
% 28.33/28.21 [7705]E(f328(f328(f310(x77051),x77052),f328(f328(f3(f918(x77051,a905)),x77053),f328(f328(f310(x77051),x77052),f190(f918(x77051,a905))))),x77053)+~P107(f328(f328(f330(x77051),x77052),x77053))
% 28.33/28.21 [7865]P107(f328(f328(f240(a911),x78651),f328(f328(f3(a911),x78652),x78653)))+~P107(f328(f328(f240(a911),f328(f328(f83(a911),x78651),x78653)),x78652))
% 28.33/28.21 [7866]P107(f328(f328(f239(a911),x78661),f328(f328(f83(a911),x78662),x78663)))+~P107(f328(f328(f239(a911),f328(f328(f3(a911),x78661),x78663)),x78662))
% 28.33/28.21 [7891]P107(f328(f64(x78911),x78912))+~P107(f328(f64(x78911),f328(f328(f105(f918(x78911,a905)),x78913),x78912)))
% 28.33/28.21 [7892]P107(f328(f64(x78921),x78922))+~P107(f328(f64(x78921),f328(f328(f105(f918(x78921,a905)),x78922),x78923)))
% 28.33/28.21 [7971]~P53(x79711,x79713)+P107(f328(f328(f330(f917(x79711,x79711)),f328(f328(f256(x79711,x79711),x79712),x79712)),x79713))
% 28.33/28.21 [8104]E(f328(f328(f166(a911),f141(a911,f328(f303(a911,x81041),x81042))),x81043),f328(f328(f83(a911),x81041),x81043))+~P107(f328(f328(f240(a911),f328(f328(f83(a911),x81041),x81043)),x81042))
% 28.33/28.21 [8174]~P107(f328(f328(f196(f328(a26,x81741)),x81742),x81743))+P107(f328(f328(f196(f328(f236(a906),f328(a28,x81741))),x81742),x81743))
% 28.33/28.21 [8175]~P107(f328(f328(f196(f328(a26,x81751)),x81752),x81753))+P107(f328(f328(f196(f328(f236(a906),f328(a28,x81751))),x81752),x81753))
% 28.33/28.21 [8180]E(f328(f328(f177(a911),x81801),f141(a911,f328(f303(a911,x81802),x81803))),f141(a911,f328(f303(a911,x81802),f328(f328(f83(a911),x81802),x81801))))+~P107(f328(f328(f239(a911),f328(f328(f83(a911),x81802),x81801)),x81803))
% 28.33/28.21 [8238]~P94(x82381)+E(f328(f328(f248(x82381),x82382),f328(f108(a911),f328(f328(f83(a1),x82383),x82383))),f328(f328(f89(x82381,x82381),f328(f328(f248(x82381),x82382),f328(f108(a911),x82383))),f328(f328(f20(x82381,x82381,x82381),f84(x82381)),f7(x82381))))
% 28.33/28.21 [8441]P107(f328(f328(f196(f328(a26,x84411)),x84412),x84413))+~P107(f328(f328(f196(f328(f236(a906),f328(a28,x84411))),x84412),x84413))
% 28.33/28.21 [8442]P107(f328(f328(f196(f328(a26,x84421)),x84422),x84423))+~P107(f328(f328(f196(f328(f236(a906),f328(a28,x84421))),x84422),x84423))
% 28.33/28.21 [8499]E(f328(f328(f136(x84991),f328(f328(f177(x84991),x84992),x84993)),f328(f328(f153(x84991),f328(f328(f166(x84991),x84993),x84992)),f328(f328(f140(x84991),f328(a116,x84992)),x84993))),x84993)+~P107(f328(f328(f240(a911),x84992),f328(f191(f912(x84991)),x84993)))
% 28.33/28.21 [8506]P107(f328(f328(f239(f918(x85061,a905)),f316(x85061,x85062)),f316(x85061,x85063)))+~P107(f328(f328(f239(f918(x85061,f918(x85061,a905))),x85063),x85062))
% 28.33/28.21 [8507]~P62(x85071,x85072,x85073)+P62(x85071,x85072,f328(f328(f3(f918(f917(x85071,x85071),a905)),x85073),f308(x85071,f190(f918(f917(x85071,x85071),a905)))))
% 28.33/28.21 [8527]P107(f328(f328(f239(f918(x85271,a905)),f317(x85271,x85272)),f317(x85271,x85273)))+~P107(f328(f328(f239(f918(f917(x85271,x85271),a905)),x85273),x85272))
% 28.33/28.21 [8534]~P126(x85341)+P107(f328(f328(f239(x85341),f2(x85341)),f328(f328(f83(x85341),f328(f328(f84(x85341),x85342),x85342)),f328(f328(f84(x85341),x85343),x85343))))
% 28.33/28.21 [8564]~P94(x85641)+E(f328(f328(f248(x85641),f328(f108(x85641),x85642)),f328(f108(a911),f328(f328(f83(a1),x85643),x85643))),f328(f328(f89(x85641,x85641),f328(f328(f248(x85641),f328(f108(x85641),x85642)),f328(f108(a911),x85643))),f328(f328(f20(x85641,x85641,x85641),f84(x85641)),f7(x85641))))
% 28.33/28.21 [8569]P107(f328(f328(f239(f918(x85691,a905)),f328(f283(x85691),x85692)),f328(f283(x85691),x85693)))+~P107(f328(f328(f239(f918(f917(x85691,x85691),a905)),x85692),x85693))
% 28.33/28.21 [8602]~P60(x86021,x86022)+~P107(f328(f328(f330(f917(x86021,x86021)),f328(f328(f256(x86021,x86021),x86023),x86023)),x86022))
% 28.33/28.21 [8603]~P43(x86031,x86032)+~P107(f328(f328(f330(f917(x86031,x86031)),f328(f328(f256(x86031,x86031),x86033),x86033)),x86032))
% 28.33/28.21 [8604]~P43(x86041,x86042)+~P107(f328(f328(f330(f917(x86041,x86041)),f328(f328(f256(x86041,x86041),x86043),x86043)),x86042))
% 28.33/28.21 [8647]~E(x86472,x86473)+P107(f328(f328(f330(f917(x86471,x86471)),f328(f328(f256(x86471,x86471),x86472),x86473)),f308(x86471,f190(f918(f917(x86471,x86471),a905)))))
% 28.33/28.21 [8667]P107(f328(f328(f239(f918(x86671,a905)),f40(f918(x86671,a905),x86672)),f40(f918(x86671,a905),x86673)))+~P107(f328(f328(f239(f918(f918(x86671,a905),a905)),x86672),x86673))
% 28.33/28.21 [8668]P107(f328(f328(f239(f918(x86681,a905)),f41(f918(x86681,a905),x86682)),f41(f918(x86681,a905),x86683)))+~P107(f328(f328(f239(f918(f918(x86681,a905),a905)),x86683),x86682))
% 28.33/28.21 [8721]~P13(x87211,x87213,x87212)+P107(f328(f328(f239(f918(f917(x87211,x87211),a905)),x87212),f328(f328(f258(x87211,x87211),x87213),f328(f18(f918(x87211,a905),x87211),x87213))))
% 28.33/28.21 [8722]~P59(x87221,x87223,x87222)+P107(f328(f328(f239(f918(f917(x87221,x87221),a905)),x87222),f328(f328(f258(x87221,x87221),x87223),f328(f18(f918(x87221,a905),x87221),x87223))))
% 28.33/28.21 [8769]~P86(x87691)+P107(f328(f328(f239(x87691),f328(f328(f3(x87691),f328(f79(x87691),x87692)),f328(f79(x87691),x87693))),f328(f79(x87691),f328(f328(f3(x87691),x87693),x87692))))
% 28.33/28.21 [8770]~P86(x87701)+P107(f328(f328(f239(x87701),f328(f328(f3(x87701),f328(f79(x87701),x87702)),f328(f79(x87701),x87703))),f328(f79(x87701),f328(f328(f3(x87701),x87702),x87703))))
% 28.33/28.21 [8802]P107(f328(f328(f239(f918(f917(x88021,x88021),a905)),f308(x88021,x88022)),f308(x88021,x88023)))+~P107(f328(f328(f239(f918(f917(x88021,x88021),a905)),x88022),x88023))
% 28.33/28.21 [8903]~P30(x89032,x89031,x89033,f246(f918(x89032,a905)))+E(f328(f76(x89031,x89032,x89032,f95(x89032,x89031,f246(f918(x89032,a905)),x89033)),x89033),f35(x89032))
% 28.33/28.21 [8904]~P30(x89042,x89041,x89043,f246(f918(x89042,a905)))+E(f328(f76(x89041,x89042,x89042,f95(x89042,x89041,f246(f918(x89042,a905)),x89043)),x89043),f35(x89042))
% 28.33/28.21 [8962]P62(x89621,x89622,x89623)+~P62(x89621,x89622,f328(f328(f3(f918(f917(x89621,x89621),a905)),x89623),f308(x89621,f190(f918(f917(x89621,x89621),a905)))))
% 28.33/28.21 [8981]P107(f328(f328(f239(f918(f917(f912(x89811),f912(x89811)),a905)),f159(x89811,x89812)),f159(x89811,x89813)))+~P107(f328(f328(f239(f918(f917(x89811,x89811),a905)),x89812),x89813))
% 28.33/28.21 [8982]P107(f328(f328(f239(f918(f917(f912(x89821),f912(x89821)),a905)),f160(x89821,x89822)),f160(x89821,x89823)))+~P107(f328(f328(f239(f918(f917(x89821,x89821),a905)),x89822),x89823))
% 28.33/28.21 [9003]~P59(x90031,x90033,x90032)+P107(f328(f328(f239(f918(f917(x90031,x90031),a905)),x90032),f328(f328(f290(x90031,x90031,x90031),f328(f288(x90031,x90031),x90032)),x90032)))
% 28.33/28.21 [9039]~P107(f328(f139(x90391),x90393))+P107(f328(f139(x90391),f328(f328(f140(x90391),f328(f191(f912(x90391)),f179(x90391,x90392,x90393))),x90393)))
% 28.33/28.21 [9056]~P107(f328(f139(x90561),x90562))+E(f328(f138(x90561,f328(f328(f9(x90561,f918(x90561,a905),a905),f330(x90561)),f328(f174(x90561),f178(x90561,x90562,x90563)))),x90562),f178(x90561,x90562,x90563))
% 28.33/28.21 [9108]E(x91081,x91082)+~P107(f328(f328(f330(f917(x91083,x91083)),f328(f328(f256(x91083,x91083),x91081),x91082)),f308(x91083,f190(f918(f917(x91083,x91083),a905)))))
% 28.33/28.21 [9192]P107(f328(f328(f330(x91921),x91922),f317(x91921,x91923)))+P107(f328(f328(f330(f917(x91921,x91921)),f328(f328(f256(x91921,x91921),f352(x91923,x91922,x91921)),x91922)),x91923))
% 28.33/28.21 [9193]P107(f328(f328(f330(x91931),x91932),f317(x91931,x91933)))+P107(f328(f328(f330(f917(x91931,x91931)),f328(f328(f256(x91931,x91931),f737(x91933,x91932,x91931)),x91932)),x91933))
% 28.33/28.21 [9194]P107(f328(f328(f330(x91941),x91942),f317(x91941,x91943)))+P107(f328(f328(f330(f917(x91941,x91941)),f328(f328(f256(x91941,x91941),f739(x91943,x91942,x91941)),x91942)),x91943))
% 28.33/28.21 [9229]P30(x92291,x92292,x92293,f246(f918(x92291,a905)))+~E(f328(f76(x92292,x92291,x92291,f95(x92291,x92292,f246(f918(x92291,a905)),x92293)),x92293),f35(x92291))
% 28.33/28.21 [9290]~P107(f328(f328(f330(f912(x92901)),x92903),f163(x92901,x92902)))+P107(f328(f162(x92901,f328(f328(f9(x92901,f918(x92901,a905),a905),f330(x92901)),x92902)),x92903))
% 28.33/28.21 [9312]P107(f328(x93123,x93122))+E(f328(f266(x93121),f328(f328(f20(x93121,a905,a905),f328(f328(f10(a905,f918(a905,a905),x93121),a326),f328(a325,x93122))),x93123)),f190(f918(x93121,a905)))
% 28.33/28.21 [9329]~P86(x93291)+P107(f328(f328(f239(x93291),f328(f79(x93291),f328(f328(f3(x93291),f328(f79(x93291),x93292)),f328(f79(x93291),x93293)))),f328(f79(x93291),f328(f328(f3(x93291),x93292),x93293))))
% 28.33/28.21 [9343]~P107(f328(x93433,x93432))+E(f328(f266(x93431),f328(f328(f20(x93431,a905,a905),f328(f328(f10(a905,f918(a905,a905),x93431),a326),f328(a325,x93432))),x93433)),f328(f328(f310(x93431),x93432),f190(f918(x93431,a905))))
% 28.33/28.21 [9350]~P107(f328(f328(f330(f918(x93501,a905)),x93503),f328(f309(x93501),x93502)))+P107(f328(f252(x93501,f328(f328(f9(x93501,f918(x93501,a905),a905),f330(x93501)),x93502)),x93503))
% 28.33/28.21 [9382]P43(x93821,x93822)+P107(f328(f328(f330(f917(x93821,x93821)),f328(f328(f256(x93821,x93821),f328(f556(x93822,x93821),f328(a116,x93823))),f328(f556(x93822,x93821),x93823))),x93822))
% 28.33/28.21 [9474]~P107(f328(f139(x94741),x94743))+P107(f328(f139(x94741),f328(f138(x94741,f328(f328(f10(a905,a905,x94741),a323),f328(a325,x94742))),x94743)))
% 28.33/28.21 [9517]P107(f328(f328(f330(f912(x95171)),x95172),f163(x95171,x95173)))+~P107(f328(f162(x95171,f328(f328(f9(x95171,f918(x95171,a905),a905),f330(x95171)),x95173)),x95172))
% 28.33/28.21 [9529]P107(f328(f328(f330(f918(x95291,a905)),x95292),f328(f309(x95291),x95293)))+~P107(f328(f252(x95291,f328(f328(f9(x95291,f918(x95291,a905),a905),f330(x95291)),x95293)),x95292))
% 28.33/28.21 [9590]P107(f328(f328(f330(x95901),f328(f272(x95901,x95902),x95903)),f328(f174(x95901),f328(f328(f156(f917(a103,x95901),x95901),f260(a103,x95901)),x95902))))+~P107(f328(f328(f240(a103),x95903),f328(f167(a103),f328(f328(f156(f917(a103,x95901),a103),f255(a103,x95901)),x95902))))
% 28.33/28.21 [9637]P107(f328(f328(f239(f918(f917(f912(x96371),f912(x96371)),a905)),f160(x96371,x96372)),f328(f328(f258(f912(x96371),f912(x96371)),f163(x96371,x96373)),f328(f18(f918(f912(x96371),a905),f912(x96371)),f163(x96371,x96373)))))+~P107(f328(f328(f239(f918(f917(x96371,x96371),a905)),x96372),f328(f328(f258(x96371,x96371),x96373),f328(f18(f918(x96371,a905),x96371),x96373))))
% 28.33/28.21 [9659]P107(f328(f328(f330(x96591),f328(f255(x96591,f917(a103,a103)),f328(f270(x96591,x96592),x96593))),f328(f174(x96591),f328(f328(f156(f917(a103,x96591),x96591),f260(a103,x96591)),x96592))))+~P107(f328(f328(f240(a103),f2(a103)),f328(f167(a103),f328(f328(f156(f917(a103,x96591),a103),f255(a103,x96591)),x96592))))
% 28.33/28.21 [9672]~P107(f328(f328(f239(f918(f917(x96721,x96721),a905)),x96722),f328(f328(f258(x96721,x96721),x96723),f328(f18(f918(x96721,a905),x96721),x96723))))+P107(f328(f328(f239(f918(f917(x96721,x96721),a905)),f328(f328(f290(x96721,x96721,x96721),x96722),f308(x96721,x96722))),f328(f328(f258(x96721,x96721),x96723),f328(f18(f918(x96721,a905),x96721),x96723))))
% 28.33/28.21 [9968]~P43(x99681,x99682)+~P107(f328(f328(f330(f917(x99681,x99681)),f328(f328(f256(x99681,x99681),f328(x99683,f328(a116,f558(x99682,x99681,x99683)))),f328(x99683,f558(x99682,x99681,x99683)))),x99682))
% 28.33/28.21 [9969]~P43(x99691,x99692)+~P107(f328(f328(f330(f917(x99691,x99691)),f328(f328(f256(x99691,x99691),f328(x99693,f328(a116,f753(x99693,x99692,x99691)))),f328(x99693,f753(x99693,x99692,x99691)))),x99692))
% 28.33/28.21 [10211]P107(f328(f328(f239(f918(f917(f918(x102111,a905),f918(x102111,a905)),a905)),f328(f328(f290(f918(x102111,a905),f918(x102111,a905),f918(x102111,a905)),f321(x102111,x102112)),f328(f328(f105(f918(f917(f918(x102111,a905),f918(x102111,a905)),a905)),f321(x102111,x102113)),f328(f328(f310(f917(f918(x102111,a905),f918(x102111,a905))),f328(f328(f256(f918(x102111,a905),f918(x102111,a905)),f190(f918(x102111,a905))),f190(f918(x102111,a905)))),f190(f918(f917(f918(x102111,a905),f918(x102111,a905)),a905)))))),f321(x102111,x102112)))+~P107(f328(f328(f239(f918(f917(x102111,x102111),a905)),f328(f328(f290(x102111,x102111,x102111),x102112),x102113)),x102112))
% 28.33/28.21 [10212]P107(f328(f328(f239(f918(f917(f918(x102121,a905),f918(x102121,a905)),a905)),f328(f328(f290(f918(x102121,a905),f918(x102121,a905),f918(x102121,a905)),f319(x102121,x102122)),f328(f328(f105(f918(f917(f918(x102121,a905),f918(x102121,a905)),a905)),f319(x102121,x102123)),f328(f328(f310(f917(f918(x102121,a905),f918(x102121,a905))),f328(f328(f256(f918(x102121,a905),f918(x102121,a905)),f190(f918(x102121,a905))),f190(f918(x102121,a905)))),f190(f918(f917(f918(x102121,a905),f918(x102121,a905)),a905)))))),f319(x102121,x102122)))+~P107(f328(f328(f239(f918(f917(x102121,x102121),a905)),f328(f328(f290(x102121,x102121,x102121),x102122),x102123)),x102122))
% 28.33/28.21 [7400]~P107(f328(f328(f239(a911),x74002),x74001))+E(f328(f328(f3(a911),f328(a116,f328(f328(f3(a911),x74001),x74002))),x74003),f328(f328(f3(a911),f328(a116,x74001)),f328(f328(f83(a911),x74002),x74003)))
% 28.33/28.21 [7439]~P8(x74391)+E(f328(f328(f83(x74391),f48(x74391,x74392,x74393)),f328(f328(f84(x74391),f328(f328(f39(x74391),x74392),x74393)),x74393)),x74392)
% 28.33/28.21 [7646]E(f328(f328(f84(a911),f328(f108(a911),x76461)),f328(f328(f84(a911),f328(f108(a911),x76462)),x76463)),f328(f328(f84(a911),f328(f108(a911),f328(f328(f84(a1),x76461),x76462))),x76463))+P107(f328(f328(f240(a1),x76461),a86))
% 28.33/28.21 [8115]~P107(f328(f328(f239(a911),x81153),x81152))+P107(f328(f328(f239(a911),x81151),f328(f328(f3(a911),f328(f328(f83(a911),x81152),x81151)),x81153)))
% 28.33/28.21 [8321]~P107(f328(f328(f239(a911),x83211),x83212))+E(f328(f328(f136(a911),f141(a911,f328(f303(a911,x83211),x83212))),f141(a911,f328(f303(a911,x83212),f328(f328(f83(a911),x83212),x83213)))),f141(a911,f328(f303(a911,x83211),f328(f328(f83(a911),x83212),x83213))))
% 28.33/28.21 [8578]~P107(f328(f64(x85781),x85782))+E(f328(a116,f328(f38(x85781),f328(f328(f3(f918(x85781,a905)),x85782),f328(f328(f310(x85781),x85783),f190(f918(x85781,a905)))))),f328(f38(x85781),f328(f328(f310(x85781),x85783),x85782)))
% 28.33/28.21 [8623]~P107(f328(f64(x86231),x86232))+E(f328(f328(f83(a911),f81(a911)),f328(f38(x86231),f328(f328(f3(f918(x86231,a905)),x86232),f328(f328(f310(x86231),x86233),f190(f918(x86231,a905)))))),f328(f38(x86231),f328(f328(f310(x86231),x86233),x86232)))
% 28.33/28.21 [8810]E(f328(f328(f3(a911),f328(f38(x88101),x88102)),f328(f38(x88101),f328(f328(f106(f918(x88101,a905)),x88102),x88103))),f328(f38(x88101),f328(f328(f3(f918(x88101,a905)),x88102),x88103)))+~P107(f328(f64(x88101),f328(f328(f106(f918(x88101,a905)),x88102),x88103)))
% 28.33/28.21 [9051]~P11(f328(x90512,f388(x90512,x90513,x90511)))+E(f328(f104(a1),f328(f328(f11(x90511,a911),f328(f328(f10(a1,a911,x90511),a109),x90512)),x90513)),f328(f328(f11(x90511,a1),x90512),x90513))
% 28.33/28.21 [9052]~P11(f328(x90522,f485(x90522,x90523,x90521)))+E(f328(f104(a1),f328(f328(f8(x90521,a911),f328(f328(f10(a1,a911,x90521),a109),x90522)),x90523)),f328(f328(f8(x90521,a1),x90522),x90523))
% 28.33/28.21 [9092]~P107(f328(f64(x90921),x90923))+P107(f328(f328(f239(a911),f328(f328(f3(a911),f328(f38(x90921),x90922)),f328(f38(x90921),x90923))),f328(f38(x90921),f328(f328(f3(f918(x90921,a905)),x90922),x90923))))
% 28.33/28.21 [9118]P107(f328(f328(f330(x91181),f388(x91182,x91183,x91181)),x91183))+E(f328(f104(a1),f328(f328(f11(x91181,a911),f328(f328(f10(a1,a911,x91181),a109),x91182)),x91183)),f328(f328(f11(x91181,a1),x91182),x91183))
% 28.33/28.21 [9119]P107(f328(f328(f330(x91191),f485(x91192,x91193,x91191)),x91193))+E(f328(f104(a1),f328(f328(f8(x91191,a911),f328(f328(f10(a1,a911,x91191),a109),x91192)),x91193)),f328(f328(f8(x91191,a1),x91192),x91193))
% 28.33/28.21 [9184]E(f88(x91841,f328(f328(f9(x91841,f918(x91841,a905),a905),f330(x91841)),f328(f328(f3(f918(x91841,a905)),x91842),f328(f328(f310(x91841),x91843),f190(f918(x91841,a905)))))),f251(x91841,x91843,x91842))+P107(f328(f328(f239(f918(x91841,a905)),x91842),f328(f328(f310(x91841),x91843),f190(f918(x91841,a905)))))
% 28.33/28.21 [9530]E(f328(f328(f156(f912(x95301),x95301),f328(f328(f9(f912(x95301),a911,x95301),f166(x95301)),x95302)),f328(f138(f912(x95301),f328(f328(f10(a911,a905,f912(x95301)),f328(f240(a911),x95302)),f191(f912(x95301)))),x95303)),f328(f328(f166(f912(x95301)),f181(x95301,x95303)),x95302))+~P107(f328(f328(f240(a911),x95302),f328(f191(f912(f912(x95301))),f181(x95301,x95303))))
% 28.33/28.21 [9610]E(f328(f138(x96101,x96102),x96103),f179(x96101,x96102,x96103))+P107(f328(f328(f330(x96101),f668(x96103,x96102,x96101)),f328(f174(x96101),f328(f328(f140(x96101),f328(f191(f912(x96101)),f179(x96101,x96102,x96103))),x96103))))
% 28.33/28.21 [9745]E(f328(f328(f140(x97451),f328(f191(f912(x97451)),f179(x97451,x97452,x97453))),x97453),f117(x97451))+~P107(f328(x97452,f328(f143(x97451),f328(f328(f140(x97451),f328(f191(f912(x97451)),f179(x97451,x97452,x97453))),x97453))))
% 28.33/28.21 [9836]~P107(f328(f328(f330(f917(x98361,x98361)),x98362),f308(x98361,x98363)))+P107(f328(f328(f330(f917(x98361,x98361)),x98362),f328(f328(f42(a911,f918(f917(x98361,x98361),a905)),f246(f918(a911,a905))),f328(f328(f9(a911,f918(f917(x98361,x98361),a905),f918(f917(x98361,x98361),a905)),f185(f917(x98361,x98361),a905)),x98363))))
% 28.33/28.21 [9894]~P107(f328(f328(f239(f918(x98941,a905)),f328(f328(f42(a911,f918(x98941,a905)),f328(f303(a911,f2(a911)),f500(x98943,x98942,x98941))),x98942)),x98943))+P107(f328(f328(f239(f918(x98941,a905)),f328(f328(f42(a911,f918(x98941,a905)),f246(f918(a911,a905))),x98942)),x98943))
% 28.33/28.21 [9943]~P107(f328(f328(f240(a1),f2(a1)),x99433))+P107(f328(f328(f240(a1),x99431),f328(f328(f83(a1),x99432),f328(f328(f84(a1),f328(f328(f83(a1),f328(f79(a1),f328(f328(f3(a1),x99432),x99431))),f81(a1))),x99433))))
% 28.33/28.21 [9955]~P43(x99551,f328(f328(f105(f918(f917(x99551,x99551),a905)),x99552),x99553))+P43(x99551,f328(f328(f105(f918(f917(x99551,x99551),a905)),f328(f328(f105(f918(f917(x99551,x99551),a905)),f328(f328(f290(x99551,x99551,x99551),x99552),x99552)),f328(f328(f290(x99551,x99551,x99551),x99553),x99552))),x99553))
% 28.33/28.21 [10028]P43(x100281,f328(f328(f105(f918(f917(x100281,x100281),a905)),x100282),x100283))+~P43(x100281,f328(f328(f105(f918(f917(x100281,x100281),a905)),f328(f328(f105(f918(f917(x100281,x100281),a905)),f328(f328(f290(x100281,x100281,x100281),x100282),x100282)),f328(f328(f290(x100281,x100281,x100281),x100283),x100282))),x100283))
% 28.33/28.21 [9613]~P140(x96131)+E(f328(f107(x96131),f328(a92,f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),f328(f328(f256(a911,a911),x96132),x96133)),f190(f918(f917(a911,a911),a905)))))),f328(f328(f3(x96131),f328(f104(x96131),x96132)),f328(f104(x96131),x96133)))
% 28.33/28.21 [9692]P107(f328(x96923,x96922))+E(f328(f266(x96921),f328(f328(f20(x96921,a905,a905),f328(f328(f10(a905,f918(a905,a905),x96921),a326),f328(f328(f9(x96921,x96921,a905),a325),x96922))),x96923)),f190(f918(x96921,a905)))
% 28.33/28.21 [9694]~P107(f328(x96943,x96942))+E(f328(f266(x96941),f328(f328(f20(x96941,a905,a905),f328(f328(f10(a905,f918(a905,a905),x96941),a326),f328(f328(f9(x96941,x96941,a905),a325),x96942))),x96943)),f328(f328(f310(x96941),x96942),f190(f918(x96941,a905))))
% 28.33/28.21 [9922]E(x99221,x99222)+P107(f328(f328(f247(x99223,x99223,f328(f328(f10(f918(x99223,a905),f918(x99223,a905),x99223),f328(f10(a905,a905,x99223),a323)),a325)),x99221),x99222))
% 28.33/28.21 [10008]~E(x100081,x100082)+~P107(f328(f328(f247(x100083,x100083,f328(f328(f10(f918(x100083,a905),f918(x100083,a905),x100083),f328(f10(a905,a905,x100083),a323)),a325)),x100081),x100082))
% 28.33/28.21 [10020]~P107(f328(f64(x100201),x100203))+E(f328(f328(f67(x100201,f918(x100201,a905),f328(f328(f10(f918(x100201,a905),f918(f918(x100201,a905),f918(x100201,a905)),x100201),f328(f9(f918(x100201,a905),f918(x100201,a905),f918(x100201,a905)),f3(f918(x100201,a905)))),f328(f328(f9(x100201,f918(x100201,a905),f918(x100201,a905)),f310(x100201)),f190(f918(x100201,a905))))),x100202),x100203),f328(f328(f3(f918(x100201,a905)),x100202),x100203))
% 28.33/28.21 [10051]~P107(f328(f328(f240(a1),f2(a1)),x100513))+P107(f328(f328(f240(a1),f328(f328(f3(a1),x100511),f328(f328(f84(a1),f328(f328(f83(a1),f328(f79(a1),f328(f328(f3(a1),x100511),x100512))),f81(a1))),x100513))),x100512))
% 28.33/28.21 [10291]~P107(f328(f328(f330(x102911),x102913),f317(x102911,x102912)))+P107(f328(f316(x102911,f328(f328(f9(x102911,f918(f917(x102911,x102911),a905),f918(x102911,a905)),f328(f328(f10(f918(x102911,f918(f918(f917(x102911,x102911),a905),a905)),f918(f918(f917(x102911,x102911),a905),f918(x102911,a905)),x102911),f9(x102911,f918(f917(x102911,x102911),a905),a905)),f328(f328(f10(f918(x102911,f917(x102911,x102911)),f918(x102911,f918(f918(f917(x102911,x102911),a905),a905)),x102911),f328(f10(f917(x102911,x102911),f918(f918(f917(x102911,x102911),a905),a905),x102911),f330(f917(x102911,x102911)))),f256(x102911,x102911)))),x102912)),x102913))
% 28.33/28.21 [10305]P107(f328(f328(f330(x103051),x103052),f317(x103051,x103053)))+~P107(f328(f316(x103051,f328(f328(f9(x103051,f918(f917(x103051,x103051),a905),f918(x103051,a905)),f328(f328(f10(f918(x103051,f918(f918(f917(x103051,x103051),a905),a905)),f918(f918(f917(x103051,x103051),a905),f918(x103051,a905)),x103051),f9(x103051,f918(f917(x103051,x103051),a905),a905)),f328(f328(f10(f918(x103051,f917(x103051,x103051)),f918(x103051,f918(f918(f917(x103051,x103051),a905),a905)),x103051),f328(f10(f917(x103051,x103051),f918(f918(f917(x103051,x103051),a905),a905),x103051),f330(f917(x103051,x103051)))),f256(x103051,x103051)))),x103053)),x103052))
% 28.33/28.21 [9892]~P107(f328(f64(x98921),f328(f266(x98921),x98923)))+P107(f328(f64(x98921),f328(f266(x98921),f328(f328(f20(x98921,a905,a905),f328(f328(f10(a905,f918(a905,a905),x98921),a326),x98922)),x98923))))
% 28.33/28.21 [9893]~P107(f328(f64(x98931),f328(f266(x98931),x98932)))+P107(f328(f64(x98931),f328(f266(x98931),f328(f328(f20(x98931,a905,a905),f328(f328(f10(a905,f918(a905,a905),x98931),a326),x98932)),x98933))))
% 28.33/28.21 [9987]P107(f328(f64(x99871),f328(f266(x99871),x99872)))+~P107(f328(f64(x99871),f328(f266(x99871),f328(f328(f20(x99871,a905,a905),f328(f328(f10(a905,f918(a905,a905),x99871),a327),x99873)),x99872))))
% 28.33/28.21 [9988]P107(f328(f64(x99881),f328(f266(x99881),x99882)))+~P107(f328(f64(x99881),f328(f266(x99881),f328(f328(f20(x99881,a905,a905),f328(f328(f10(a905,f918(a905,a905),x99881),a327),x99882)),x99883))))
% 28.33/28.21 [10270]~P107(f328(f64(x102701),x102702))+P107(f328(f64(f912(x102701)),f328(f266(f912(x102701)),f328(f328(f20(f912(x102701),a905,a905),f328(f328(f10(a905,f918(a905,a905),f912(x102701)),a326),f328(f328(f9(f912(x102701),f918(x102701,a905),a905),f328(f328(f10(f918(x102701,a905),f918(f918(x102701,a905),a905),f912(x102701)),f239(f918(x102701,a905))),f174(x102701))),x102702))),f328(f328(f9(f912(x102701),a911,a905),f328(f328(f10(a911,f918(a911,a905),f912(x102701)),a325),f191(f912(x102701)))),x102703)))))
% 28.33/28.21 [10271]~P107(f328(f64(x102711),x102712))+P107(f328(f64(f912(x102711)),f328(f266(f912(x102711)),f328(f328(f20(f912(x102711),a905,a905),f328(f328(f10(a905,f918(a905,a905),f912(x102711)),a326),f328(f328(f9(f912(x102711),f918(x102711,a905),a905),f328(f328(f10(f918(x102711,a905),f918(f918(x102711,a905),a905),f912(x102711)),f239(f918(x102711,a905))),f174(x102711))),x102712))),f328(f328(f9(f912(x102711),a911,a905),f328(f328(f10(a911,f918(a911,a905),f912(x102711)),f239(a911)),f191(f912(x102711)))),x102713)))))
% 28.33/28.21 [10001]~P114(x100011)+E(f328(f328(f248(x100011),x100012),f328(f328(f84(a911),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x100013)),f328(f328(f84(x100011),f328(f328(f248(x100011),x100012),x100013)),f328(f328(f248(x100011),x100012),x100013)))
% 28.33/28.21 [10032]~P84(x100321)+E(f328(f328(f248(x100321),f328(f328(f248(x100321),x100322),x100323)),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f328(f328(f248(x100321),x100322),f328(f328(f84(a911),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x100323)))
% 28.33/28.21 [10077]~P140(x100771)+E(f328(f328(f248(x100771),f328(f82(x100771),x100772)),f328(f328(f84(a911),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x100773)),f328(f328(f248(x100771),x100772),f328(f328(f84(a911),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x100773)))
% 28.33/28.21 [10218]~P113(x102181)+P107(f328(f328(f239(x102181),f2(x102181)),f328(f328(f83(x102181),f328(f328(f248(x102181),x102182),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))),f328(f328(f248(x102181),x102183),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))))
% 28.33/28.21 [10087]~P114(x100871)+E(f328(f328(f248(x100871),x100872),f328(a116,f328(f328(f84(a911),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x100873))),f328(f328(f84(x100871),x100872),f328(f328(f84(x100871),f328(f328(f248(x100871),x100872),x100873)),f328(f328(f248(x100871),x100872),x100873))))
% 28.33/28.21 [10136]~P84(x101361)+E(f328(f328(f84(x101361),x101362),f328(f328(f248(x101361),f328(f328(f248(x101361),x101362),x101363)),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))),f328(f328(f248(x101361),x101362),f328(a116,f328(f328(f84(a911),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x101363))))
% 28.33/28.21 [10173]~P113(x101731)+P107(f328(f328(f239(x101731),f2(x101731)),f328(f328(f248(x101731),x101732),f328(f328(f84(a911),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x101733))))
% 28.33/28.21 [10248]~P94(x102481)+E(f328(f328(f83(x102481),f328(f328(f83(x102481),f328(f328(f248(x102481),x102482),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))),f328(f328(f248(x102481),x102483),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))),f328(f328(f84(x102481),f328(f328(f84(x102481),f328(f108(x102481),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x102482)),x102483)),f328(f328(f248(x102481),f328(f328(f83(x102481),x102482),x102483)),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))
% 28.33/28.21 [10249]~P94(x102491)+E(f328(f328(f3(x102491),f328(f328(f83(x102491),f328(f328(f248(x102491),x102492),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))),f328(f328(f248(x102491),x102493),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))),f328(f328(f84(x102491),f328(f328(f84(x102491),f328(f108(x102491),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x102492)),x102493)),f328(f328(f248(x102491),f328(f328(f3(x102491),x102492),x102493)),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))
% 28.33/28.21 [4806]E(x48061,x48062)+~E(f34(x48063,x48061),f34(x48064,x48062))
% 28.33/28.21 [4807]E(x48071,x48072)+~E(f34(x48071,x48073),f34(x48072,x48074))
% 28.33/28.21 [4808]E(x48081,x48082)+~E(f27(x48083,x48081),f27(x48084,x48082))
% 28.33/28.21 [4809]E(x48091,x48092)+~E(f27(x48091,x48093),f27(x48092,x48094))
% 28.33/28.21 [4810]E(x48101,x48102)+~E(f33(x48103,x48101),f33(x48104,x48102))
% 28.33/28.21 [4811]E(x48111,x48112)+~E(f33(x48111,x48113),f33(x48112,x48114))
% 28.33/28.21 [5964]P47(f33(x59641,x59643),x59642,x59644,x59642)+P107(f328(x59641,x59642))
% 28.33/28.21 [5965]P47(f33(x59651,x59653),x59652,x59654,x59652)+P107(f328(x59651,x59652))
% 28.33/28.21 [7082]~P47(x70821,x70822,x70823,x70824)+P47(x70821,x70822,f328(a116,x70823),x70824)
% 28.33/28.21 [7910]P30(x79101,x79102,x79103,x79104)+~E(f458(x79104,x79103,x79102,x79101),f464(x79104,x79103,x79102,x79101))
% 28.33/28.21 [8214]P40(x82141,x82142,x82143,x82144,f117(x82142))+~E(x82144,f117(x82141))
% 28.33/28.21 [8215]P40(x82151,x82152,x82153,f117(x82151),x82154)+~E(x82154,f117(x82152))
% 28.33/28.21 [8759]~P40(x87592,x87593,x87594,x87591,f117(x87593))+E(x87591,f117(x87592))
% 28.33/28.21 [8760]~P40(x87603,x87602,x87604,f117(x87603),x87601)+E(x87601,f117(x87602))
% 28.33/28.21 [5189]~P22(x51893,x51891,x51894)+E(f328(f328(x51891,x51892),x51892),x51892)
% 28.33/28.21 [5443]P107(f328(x54432,x54434))+E(f328(f138(x54431,x54432),f171(x54431,x54433,x54434)),f117(x54431))
% 28.33/28.21 [5480]~E(x54804,f190(f918(x54801,a905)))+E(f328(f311(x54801,x54802,x54803),x54804),f190(f918(x54802,a905)))
% 28.33/28.21 [5481]~E(x54814,f190(f918(x54811,a905)))+E(f328(f311(x54811,x54812,x54813),x54814),f190(f918(x54812,a905)))
% 28.33/28.21 [5723]~P107(f328(x57232,x57234))+E(f328(f138(x57231,x57232),f171(x57231,x57233,x57234)),f171(x57231,x57233,x57234))
% 28.33/28.21 [5751]~E(f328(f311(x57512,x57513,x57514),x57511),f190(f918(x57513,a905)))+E(x57511,f190(f918(x57512,a905)))
% 28.33/28.21 [5752]~E(f328(f311(x57522,x57523,x57524),x57521),f190(f918(x57523,a905)))+E(x57521,f190(f918(x57522,a905)))
% 28.33/28.21 [6044]~P109(x60442)+E(f328(f328(f150(x60441,x60442,x60443),x60444),f117(x60441)),f328(f328(f153(x60441),x60444),f117(x60441)))
% 28.33/28.21 [6401]~E(x64011,f190(f918(x64012,a905)))+~P107(f328(f65(x64012,x64013,x64011),x64014))
% 28.33/28.21 [6422]~P65(x64221,x64223,x64224,x64222)+P107(f328(f64(x64221),x64222))
% 28.33/28.21 [6423]~P65(x64231,x64233,x64234,x64232)+P107(f328(f64(x64231),x64232))
% 28.33/28.21 [6424]~P65(x64241,x64243,x64242,x64244)+P107(f328(f64(x64241),x64242))
% 28.33/28.21 [6425]~P65(x64251,x64253,x64252,x64254)+P107(f328(f64(x64251),x64252))
% 28.33/28.21 [6431]~P65(x64312,x64313,x64314,x64311)+~E(x64311,f190(f918(x64312,a905)))
% 28.33/28.21 [6432]~P65(x64322,x64323,x64324,x64321)+~E(x64321,f190(f918(x64322,a905)))
% 28.33/28.21 [6463]~P111(x64631)+E(f328(f328(f106(f918(x64631,a905)),f328(f303(x64631,x64632),x64633)),f304(x64631,x64633,x64634)),f190(f918(x64631,a905)))
% 28.33/28.21 [6489]~P107(f328(f328(x64893,x64894),x64892))+P107(f328(f328(f330(x64891),x64892),f294(x64891,x64893,x64894)))
% 28.33/28.21 [6490]~P107(f328(f328(x64903,x64904),x64902))+P107(f328(f328(f330(x64901),x64902),f295(x64901,x64903,x64904)))
% 28.33/28.21 [6491]~P107(f328(f328(x64913,x64912),x64914))+P107(f328(f328(f330(x64911),x64912),f296(x64911,x64913,x64914)))
% 28.33/28.21 [6492]~P107(f328(f328(x64923,x64922),x64924))+P107(f328(f328(f330(x64921),x64922),f299(x64921,x64923,x64924)))
% 28.33/28.21 [6634]~P111(x66341)+E(f328(f328(f106(f918(x66341,a905)),f307(x66341,x66342,x66343)),f304(x66341,x66343,x66344)),f190(f918(x66341,a905)))
% 28.33/28.21 [6635]~P111(x66351)+E(f328(f328(f106(f918(x66351,a905)),f306(x66351,x66352,x66353)),f307(x66351,x66353,x66354)),f190(f918(x66351,a905)))
% 28.33/28.21 [6636]~P111(x66361)+E(f328(f328(f106(f918(x66361,a905)),f306(x66361,x66362,x66363)),f306(x66361,x66363,x66364)),f190(f918(x66361,a905)))
% 28.33/28.21 [6637]~P111(x66371)+E(f328(f328(f106(f918(x66371,a905)),f304(x66371,x66372,x66373)),f307(x66371,x66373,x66374)),f190(f918(x66371,a905)))
% 28.33/28.21 [6638]~P111(x66381)+E(f328(f328(f106(f918(x66381,a905)),f304(x66381,x66382,x66383)),f306(x66381,x66383,x66384)),f190(f918(x66381,a905)))
% 28.33/28.21 [6675]P107(f328(f328(x66751,x66752),f633(x66752,x66751)))+~P107(f328(f253(x66753,x66754,x66751),x66752))
% 28.33/28.21 [6755]~P109(x67552)+E(f328(f174(x67551),f152(x67551,x67552,x67553,x67554)),f328(f174(x67551),x67554))
% 28.33/28.21 [6806]~P108(x68061)+E(f192(x68061,x68062,f328(a116,x68063),x68064),f192(x68061,x68062,x68063,f328(x68062,x68064)))
% 28.33/28.21 [6864]~P107(f328(f328(f330(x68644),x68643),f294(x68644,x68641,x68642)))+P107(f328(f328(x68641,x68642),x68643))
% 28.33/28.21 [6865]~P107(f328(f328(f330(x68654),x68653),f295(x68654,x68651,x68652)))+P107(f328(f328(x68651,x68652),x68653))
% 28.33/28.21 [6866]~P107(f328(f328(f330(x68664),x68662),f296(x68664,x68661,x68663)))+P107(f328(f328(x68661,x68662),x68663))
% 28.33/28.21 [6867]~P107(f328(f328(f330(x68674),x68672),f299(x68674,x68671,x68673)))+P107(f328(f328(x68671,x68672),x68673))
% 28.33/28.21 [6943]E(f328(f38(f919(x69431,x69432)),f314(x69431,x69432,x69433,x69434)),f2(a911))+P107(f328(f64(x69432),x69434))
% 28.33/28.21 [6944]E(f328(f38(f919(x69441,x69442)),f314(x69441,x69442,x69443,x69444)),f2(a911))+P107(f328(f64(x69441),x69443))
% 28.33/28.21 [7143]~P19(x71434,x71431,x71432)+E(f328(f76(x71431,x71431,x71431,f328(x71432,x71433)),f328(x71432,x71433)),f328(x71432,x71433))
% 28.33/28.21 [7385]E(f279(x73851,x73852,x73853,x73854),f328(f256(f918(a103,f918(a905,f915(f913(x73851)))),f917(a103,a103)),f44(x73851)))+~P107(f328(f328(f239(a103),x73853),f2(a103)))
% 28.33/28.21 [7447]~P47(f328(a26,x74471),x74472,f328(a116,x74473),x74474)+P47(f328(f236(a906),f328(a28,x74471)),x74472,x74473,x74474)
% 28.33/28.21 [7480]P47(f328(a26,x74801),x74802,f328(a116,x74803),x74804)+~P47(f328(f236(a906),f328(a28,x74801)),x74802,x74803,x74804)
% 28.33/28.21 [7481]P47(f328(a26,x74811),x74812,f328(a116,x74813),x74814)+~P47(f328(f236(a906),f328(a28,x74811)),x74812,x74813,x74814)
% 28.33/28.21 [7767]~P47(f328(a26,x77674),x77673,x77672,x77671)+E(f328(a116,f888(x77671,x77672,x77673,x77674)),x77672)
% 28.33/28.21 [8036]~E(x80362,x80363)+P107(f328(f328(f330(f917(x80361,x80361)),f328(f328(f256(x80361,x80361),x80362),x80363)),f308(x80361,x80364)))
% 28.33/28.21 [8065]~P30(x80651,x80652,x80653,f246(f918(x80651,a905)))+E(f328(f80(x80651,x80652,f246(f918(x80651,a905)),x80653),f328(x80653,x80654)),x80654)
% 28.33/28.21 [8066]~P30(x80661,x80662,x80663,f246(f918(x80661,a905)))+E(f328(f95(x80661,x80662,f246(f918(x80661,a905)),x80663),f328(x80663,x80664)),x80664)
% 28.33/28.21 [8158]~P107(f328(f328(f330(f912(x81581)),f328(f328(f136(x81581),x81584),x81582)),f163(x81581,x81583)))+P107(f328(f328(f330(f912(x81581)),x81582),f163(x81581,x81583)))
% 28.33/28.21 [8159]~P107(f328(f328(f330(f912(x81591)),f328(f328(f136(x81591),x81592),x81594)),f163(x81591,x81593)))+P107(f328(f328(f330(f912(x81591)),x81592),f163(x81591,x81593)))
% 28.33/28.21 [8160]~P107(f328(f328(f330(f912(x81601)),f328(f328(f153(x81601),x81604),x81602)),f163(x81601,x81603)))+P107(f328(f328(f330(f912(x81601)),x81602),f163(x81601,x81603)))
% 28.33/28.21 [8176]~P109(x81761)+P18(x81761,f328(f328(f156(x81762,x81761),x81763),f152(x81762,x81761,x81763,x81764)))
% 28.33/28.21 [8245]~P47(f328(a26,x82451),x82452,x82454,x82453)+P47(f328(f236(a906),f328(a28,x82451)),x82452,f888(x82453,x82454,x82452,x82451),x82453)
% 28.33/28.21 [8279]P30(x82794,x82793,x82791,x82792)+E(f328(x82791,f458(x82792,x82791,x82793,x82794)),f328(x82791,f464(x82792,x82791,x82793,x82794)))
% 28.33/28.21 [8386]~P30(x83862,x83861,x83864,x83863)+P30(x83861,x83862,f80(x83862,x83861,x83863,x83864),f328(f311(x83862,x83861,x83864),x83863))
% 28.33/28.21 [8525]P43(f917(x85252,x85254),f282(x85252,x85254,x85251,x85253))+P107(f328(x85251,f645(x85252,x85253,x85254,x85251)))
% 28.33/28.21 [8648]E(x86481,x86482)+~P107(f328(f328(f330(f917(x86483,x86483)),f328(f328(f256(x86483,x86483),x86481),x86482)),f267(x86483,x86484)))
% 28.33/28.21 [8711]~P107(f328(f64(f919(x87113,x87111)),f314(x87113,x87111,x87114,x87112)))+P107(f328(f64(x87111),x87112))
% 28.33/28.21 [8712]~P107(f328(f64(f919(x87121,x87123)),f314(x87121,x87123,x87122,x87124)))+P107(f328(f64(x87121),x87122))
% 28.33/28.21 [8713]~P107(f328(f64(f919(x87133,x87131)),f314(x87133,x87131,x87134,x87132)))+P107(f328(f64(x87131),x87132))
% 28.33/28.21 [8714]~P107(f328(f64(f919(x87141,x87143)),f314(x87141,x87143,x87142,x87144)))+P107(f328(f64(x87141),x87142))
% 28.33/28.21 [8811]~P31(x88112,x88113,x88114,x88111,f190(f918(x88113,a905)))+E(x88111,f190(f918(x88112,a905)))
% 28.33/28.21 [8812]~P31(x88123,x88122,x88124,f190(f918(x88123,a905)),x88121)+E(x88121,f190(f918(x88122,a905)))
% 28.33/28.21 [8897]P43(f917(x88971,x88972),f282(x88971,x88972,x88973,x88974))+~P43(x88972,f328(x88974,f645(x88971,x88974,x88972,x88973)))
% 28.33/28.21 [9454]E(f328(f328(f161(x94541,x94542),f588(x94543,x94544,x94542,x94541)),f589(x94543,x94544,x94542,x94541)),x94544)+~P107(f328(f328(f330(f917(f912(x94541),f912(x94541))),f328(f328(f256(f912(x94541),f912(x94541)),x94542),x94544)),f159(x94541,x94543)))
% 28.33/28.21 [9459]~P107(f328(f328(f330(f917(f912(x94591),f912(x94591))),f328(f328(f256(f912(x94591),f912(x94591)),x94592),x94593)),f147(x94591,x94594)))+P107(f328(f328(f330(f917(f912(x94591),f912(x94591))),f328(f328(f256(f912(x94591),f912(x94591)),x94592),x94593)),f149(x94591,x94594)))
% 28.33/28.21 [9567]P107(f328(f64(x95671),x95672))+~P107(f328(f328(f330(f917(f918(x95671,a905),f918(x95671,a905))),f328(f328(f256(f918(x95671,a905),f918(x95671,a905)),x95673),x95672)),f319(x95671,x95674)))
% 28.33/28.21 [9568]P107(f328(f64(x95681),x95682))+~P107(f328(f328(f330(f917(f918(x95681,a905),f918(x95681,a905))),f328(f328(f256(f918(x95681,a905),f918(x95681,a905)),x95682),x95683)),f319(x95681,x95684)))
% 28.33/28.21 [9571]~E(x95711,f190(f918(x95712,a905)))+~P107(f328(f328(f330(f917(f918(x95712,a905),f918(x95712,a905))),f328(f328(f256(f918(x95712,a905),f918(x95712,a905)),x95713),x95711)),f319(x95712,x95714)))
% 28.33/28.21 [10184]P16(x101841,x101842,x101843,x101844)+~P107(f328(f328(f261(x101841,x101841,a905),f328(f328(f9(x101841,f918(x101841,x101842),f918(x101841,a905)),f328(f328(f10(f918(x101842,a905),f918(f918(x101841,x101842),f918(x101841,a905)),x101841),f10(x101842,a905,x101841)),f328(f328(f10(x101842,f918(x101842,a905),x101841),a325),x101844))),x101844)),f593(x101844,x101843,x101842,x101841)))
% 28.33/28.21 [5089]~E(x50894,f117(x50891))+E(f328(f328(f156(x50891,x50892),x50893),x50894),f117(x50892))
% 28.33/28.21 [5090]~E(x50902,f117(x50901))+E(f328(f328(f161(x50901,x50902),x50903),x50904),f117(x50901))
% 28.33/28.21 [5091]~E(x50914,f117(x50911))+E(f328(f328(f156(x50911,x50912),x50913),x50914),f117(x50912))
% 28.33/28.21 [5321]E(x53211,f117(x53212))+~E(f328(f328(f156(x53212,x53213),x53214),x53211),f117(x53213))
% 28.33/28.21 [5322]E(x53221,f117(x53222))+~E(f328(f328(f156(x53222,x53223),x53224),x53221),f117(x53223))
% 28.33/28.21 [5323]E(x53231,f117(x53232))+~E(f328(f328(f161(x53232,x53231),x53233),x53234),f117(x53232))
% 28.33/28.21 [5359]E(x53591,x53592)+~E(f328(f328(f136(x53593),x53594),x53591),f328(f328(f136(x53593),x53594),x53592))
% 28.33/28.21 [5360]E(x53601,x53602)+~E(f328(f328(f136(x53603),x53601),x53604),f328(f328(f136(x53603),x53602),x53604))
% 28.33/28.21 [5517]P107(f328(x55173,x55172))+E(f172(x55171,x55172,f328(f138(x55171,x55173),x55174)),f328(f138(x55171,x55173),x55174))
% 28.33/28.21 [5519]~P107(f328(x55192,x55193))+P39(x55191,x55192,f328(f328(f153(x55191),x55193),x55194))
% 28.33/28.21 [5528]E(x55281,x55282)+~E(f141(a911,f328(f303(a911,x55281),x55283)),f328(f328(f153(a911),x55282),x55284))
% 28.33/28.21 [5575]~P32(x55752,x55753)+P32(x55751,f328(f328(f77(x55752,x55751),x55753),x55754))
% 28.33/28.21 [5576]~P43(x55762,x55763)+P43(x55761,f328(f328(f289(x55762,x55761),x55763),x55764))
% 28.33/28.21 [5577]~P44(x55772,x55773)+P44(x55771,f328(f328(f289(x55772,x55771),x55773),x55774))
% 28.33/28.21 [5578]~P58(x55782,x55783)+P58(x55781,f328(f328(f289(x55782,x55781),x55783),x55784))
% 28.33/28.21 [5707]~P39(x57071,x57072,x57074)+P39(x57071,x57072,f328(f328(f136(x57071),x57073),x57074))
% 28.33/28.21 [5708]~P39(x57081,x57082,x57083)+P39(x57081,x57082,f328(f328(f136(x57081),x57083),x57084))
% 28.33/28.21 [5709]~P39(x57091,x57092,x57094)+P39(x57091,x57092,f328(f328(f153(x57091),x57093),x57094))
% 28.33/28.21 [5796]~E(x57961,f117(x57962))+~E(f328(f328(f136(x57962),x57963),f328(f328(f153(x57962),x57964),f117(x57962))),x57961)
% 28.33/28.21 [5821]~P37(x58213,x58211,f328(f328(f153(x58213),x58212),x58214))+P107(f328(x58211,x58212))
% 28.33/28.21 [5831]E(f146(x58311,x58312),x58313)+~E(f328(f328(f136(x58311),x58314),f328(f328(f153(x58311),x58313),f117(x58311))),x58312)
% 28.33/28.21 [5832]E(f118(x58321,x58322),x58323)+~E(f328(f328(f136(x58321),x58323),f328(f328(f153(x58321),x58324),f117(x58321))),x58322)
% 28.33/28.21 [5940]~E(f141(a911,f328(f303(a911,x59401),x59402)),f328(f328(f153(a911),x59403),x59404))+P107(f328(f328(f240(a911),x59401),x59402))
% 28.33/28.21 [5949]P37(x59491,x59492,x59493)+~P37(x59491,x59492,f328(f328(f136(x59491),x59494),x59493))
% 28.33/28.21 [5950]P37(x59501,x59502,x59503)+~P37(x59501,x59502,f328(f328(f136(x59501),x59503),x59504))
% 28.33/28.21 [5951]P37(x59511,x59512,x59513)+~P37(x59511,x59512,f328(f328(f153(x59511),x59514),x59513))
% 28.33/28.21 [6034]~E(f328(f108(a911),x60344),f2(a911))+E(f328(f328(f166(x60341),f328(f328(f153(x60341),x60342),x60343)),f328(f108(a911),x60344)),x60342)
% 28.33/28.21 [6148]E(x61481,f328(f328(f136(x61482),f328(f170(x61482),x61483)),f328(f328(f153(x61482),x61484),f117(x61482))))+~E(f328(f170(x61482),x61481),f328(f328(f153(x61482),x61484),x61483))
% 28.33/28.21 [6323]~P111(x63231)+E(f328(f328(f106(f918(x63231,a905)),f328(f303(x63231,x63232),x63233)),f328(f303(x63231,x63233),x63234)),f190(f918(x63231,a905)))
% 28.33/28.21 [6334]E(f328(f328(f166(x63341),f171(x63341,x63342,x63343)),x63344),x63343)+~P107(f328(f328(f240(a911),x63344),x63342))
% 28.33/28.21 [6361]~P76(x63611)+E(f328(f167(x63611),f328(f328(f156(a1,x63611),x63612),f180(x63613,x63614))),f328(f328(f8(a1,x63611),x63612),f328(f174(a1),f180(x63613,x63614))))
% 28.33/28.21 [6362]~P76(x63621)+E(f328(f328(f8(a1,x63621),x63622),f328(f174(a1),f180(x63623,x63624))),f328(f167(x63621),f328(f328(f156(a1,x63621),x63622),f180(x63623,x63624))))
% 28.33/28.21 [6502]~E(x65022,f328(f328(f136(x65021),f328(f170(x65021),x65024)),f328(f328(f153(x65021),x65023),f117(x65021))))+E(f328(f170(x65021),x65022),f328(f328(f153(x65021),x65023),x65024))
% 28.33/28.21 [6518]~P24(x65182,x65183,x65184,x65181)+E(f328(x65181,f190(f918(x65182,a905))),f35(x65183))
% 28.33/28.21 [6545]~P111(x65451)+E(f328(f328(f106(f918(x65451,a905)),f307(x65451,x65452,x65453)),f328(f303(x65451,x65453),x65454)),f190(f918(x65451,a905)))
% 28.33/28.21 [6626]~P47(x66261,x66262,x66264,x66263)+P107(f328(f328(f196(x66261),x66262),x66263))
% 28.33/28.21 [6627]~P47(x66271,x66272,x66274,x66273)+P107(f328(f328(f196(x66271),x66272),x66273))
% 28.33/28.21 [6756]E(x67561,f190(f918(x67562,a905)))+~E(f314(x67563,x67562,x67564,x67561),f190(f918(f919(x67563,x67562),a905)))
% 28.33/28.21 [6757]E(x67571,f190(f918(x67572,a905)))+~E(f314(x67572,x67573,x67571,x67574),f190(f918(f919(x67572,x67573),a905)))
% 28.33/28.21 [6825]~P109(x68252)+E(f328(f191(f912(x68251)),f152(x68251,x68252,x68253,x68254)),f328(f191(f912(x68251)),x68254))
% 28.33/28.21 [6836]~P107(f328(f254(x68363,x68364,x68361),x68362))+P107(f328(f328(x68361,f555(x68362,x68361)),x68362))
% 28.33/28.21 [6860]E(f328(f108(a911),x68601),f2(a911))+E(f328(f328(f166(x68602),f328(f328(f153(x68602),x68603),x68604)),f328(f108(a911),x68601)),f328(f328(f166(x68602),x68604),f328(f328(f3(a911),f328(f108(a911),x68601)),f81(a911))))
% 28.33/28.21 [6875]~P107(f328(f64(x68752),x68754))+P107(f328(f64(x68751),f328(f311(x68752,x68751,x68753),x68754)))
% 28.33/28.21 [7105]~P30(x71052,x71051,x71053,x71054)+E(f328(f38(x71051),f328(f311(x71052,x71051,x71053),x71054)),f328(f38(x71052),x71054))
% 28.33/28.21 [7123]E(f328(f311(x71231,x71232,x71233),f328(f312(x71231,x71232,x71233),x71234)),x71234)+~E(f328(f311(x71231,x71232,x71233),f246(f918(x71231,a905))),f246(f918(x71232,a905)))
% 28.33/28.21 [7540]~P30(x75401,x75402,x75403,f246(f918(x75401,a905)))+E(f328(f312(x75401,x75402,x75403),f328(f311(x75401,x75402,x75403),x75404)),x75404)
% 28.33/28.21 [7825]E(x78251,x78252)+~P107(f328(f328(f330(x78253),x78251),f328(f174(x78253),f171(x78253,x78254,x78252))))
% 28.33/28.21 [7834]~E(x78341,f2(a911))+~P107(f328(f328(f330(x78342),x78343),f328(f174(x78342),f171(x78342,x78341,x78344))))
% 28.33/28.21 [7868]P107(f328(x78681,x78682))+~P107(f328(f328(f330(x78683),x78682),f328(f174(x78683),f179(x78683,x78681,x78684))))
% 28.33/28.21 [7982]~P107(f328(f328(f330(f912(x79821)),f328(f328(f153(x79821),x79822),x79824)),f163(x79821,x79823)))+P107(f328(f328(f330(x79821),x79822),x79823))
% 28.33/28.21 [8111]~P107(f328(f328(f330(x81111),x81112),f328(f174(x81111),f178(x81111,x81113,x81114))))+P107(f328(f328(f330(x81111),x81112),f328(f174(x81111),x81113)))
% 28.33/28.21 [8112]~P107(f328(f328(f330(x81121),x81122),f328(f174(x81121),f178(x81121,x81123,x81124))))+P107(f328(f328(f330(x81121),x81122),f328(f174(x81121),x81123)))
% 28.33/28.21 [8113]~P107(f328(f328(f330(x81131),x81132),f328(f174(x81131),f172(x81131,x81134,x81133))))+P107(f328(f328(f330(x81131),x81132),f328(f174(x81131),x81133)))
% 28.33/28.21 [8114]~P107(f328(f328(f330(x81141),x81142),f328(f174(x81141),f179(x81141,x81144,x81143))))+P107(f328(f328(f330(x81141),x81142),f328(f174(x81141),x81143)))
% 28.33/28.21 [8124]E(f328(f191(f912(x81241)),x81242),x81243)+~P107(f328(f328(f330(f912(x81241)),x81242),f328(f174(f912(x81241)),f58(x81241,x81243,x81244))))
% 28.33/28.21 [8229]P107(f328(x82293,x82292))+E(f328(f138(x82291,f328(f328(f10(a905,a905,x82291),a323),f328(a325,x82292))),f328(f138(x82291,x82293),x82294)),f328(f138(x82291,x82293),x82294))
% 28.33/28.21 [8337]E(f328(f328(f166(x83371),f179(x83371,x83372,x83373)),x83374),f328(f328(f166(x83371),x83373),x83374))+~P107(f328(f328(f240(a911),x83374),f328(f191(f912(x83371)),f179(x83371,x83372,x83373))))
% 28.33/28.21 [8424]~P76(x84241)+E(f328(f328(f8(a911,x84241),f328(f328(f10(a911,x84241,a911),x84242),a116)),f328(f303(a911,x84243),x84244)),f328(f328(f8(a911,x84241),x84242),f328(f303(a911,f328(a116,x84243)),f328(a116,x84244))))
% 28.33/28.21 [8433]~P76(x84331)+E(f328(f328(f8(a911,x84331),f328(f328(f10(a911,x84331,a911),x84332),a116)),f304(a911,x84333,x84334)),f328(f328(f8(a911,x84331),x84332),f304(a911,f328(a116,x84333),f328(a116,x84334))))
% 28.33/28.21 [8562]~P30(x85621,x85623,x85624,f246(f918(x85621,a905)))+P30(x85621,f918(x85622,x85623),f328(f328(f10(x85623,f918(x85622,x85623),x85621),f18(x85623,x85622)),x85624),f246(f918(x85621,a905)))
% 28.33/28.21 [8656]~P30(x86562,x86561,x86564,x86563)+E(f328(f311(x86561,x86562,f80(x86562,x86561,x86563,x86564)),f328(f311(x86562,x86561,x86564),x86563)),x86563)
% 28.33/28.21 [8715]~P107(f328(f328(f330(f917(x87151,x87151)),f328(f328(f256(x87151,x87151),x87152),x87154)),f267(x87151,x87153)))+P107(f328(f328(f330(x87151),x87152),x87153))
% 28.33/28.21 [8831]~P30(x88312,x88311,x88313,f246(f918(x88312,a905)))+E(f328(f311(x88311,x88312,f95(x88312,x88311,f246(f918(x88312,a905)),x88313)),f328(f311(x88312,x88311,x88313),x88314)),x88314)
% 28.33/28.21 [8832]~P30(x88322,x88321,x88323,f246(f918(x88322,a905)))+E(f328(f311(x88321,x88322,f95(x88322,x88321,f246(f918(x88322,a905)),x88323)),f328(f311(x88322,x88321,x88323),x88324)),x88324)
% 28.33/28.21 [8935]~E(f328(f328(f8(x89351,a911),x89354),x89353),f328(a116,x89352))+P107(f328(f328(f330(x89351),f705(x89352,x89353,x89354,x89351)),x89353))
% 28.33/28.21 [8954]~E(f328(f328(f8(x89544,a911),x89541),x89543),f328(a116,x89542))+P107(f328(f328(f240(a911),f2(a911)),f328(x89541,f705(x89542,x89543,x89541,x89544))))
% 28.33/28.21 [8965]~P107(f328(f64(x89652),x89654))+P107(f328(f328(f239(a911),f328(f38(x89651),f328(f311(x89652,x89651,x89653),x89654))),f328(f38(x89652),x89654)))
% 28.33/28.21 [8966]E(f328(f328(f256(x89661,x89662),f783(x89663,x89664,x89662,x89661)),f784(x89663,x89664,x89662,x89661)),x89664)+~P107(f328(f328(f330(f917(x89661,x89662)),x89664),f328(f288(x89662,x89661),x89663)))
% 28.33/28.21 [8974]P30(x89741,x89742,x89743,x89744)+P107(f328(f328(f330(x89741),f458(x89744,x89743,x89742,x89741)),x89744))
% 28.33/28.21 [8975]P30(x89751,x89752,x89753,x89754)+P107(f328(f328(f330(x89751),f464(x89754,x89753,x89752,x89751)),x89754))
% 28.33/28.21 [9043]P16(x90431,x90432,x90433,x90434)+P107(f328(f328(f330(f917(x90431,x90431)),f593(x90434,x90433,x90432,x90431)),x90433))
% 28.33/28.21 [9097]P107(f328(x90971,x90972))+~P107(f328(x90971,f328(f328(f256(x90973,x90974),f885(x90974,x90973,x90971)),f886(x90974,x90973,x90971))))
% 28.33/28.21 [9113]E(f328(f191(f912(x91131)),x91132),f328(f191(f912(x91131)),x91133))+~P107(f328(f328(f330(f917(f912(x91131),f912(x91131))),f328(f328(f256(f912(x91131),f912(x91131)),x91132),x91133)),f147(x91131,x91134)))
% 28.33/28.21 [9114]E(f328(f191(f912(x91141)),x91142),f328(f191(f912(x91141)),x91143))+~P107(f328(f328(f330(f917(f912(x91141),f912(x91141))),f328(f328(f256(f912(x91141),f912(x91141)),x91142),x91143)),f159(x91141,x91144)))
% 28.33/28.21 [9115]E(f328(f191(f912(x91151)),x91152),f328(f191(f912(x91151)),x91153))+~P107(f328(f328(f330(f917(f912(x91151),f912(x91151))),f328(f328(f256(f912(x91151),f912(x91151)),x91152),x91153)),f160(x91151,x91154)))
% 28.33/28.21 [9116]E(f328(f191(f912(x91161)),x91162),f328(f191(f912(x91161)),x91163))+~P107(f328(f328(f330(f917(f912(x91161),f912(x91161))),f328(f328(f256(f912(x91161),f912(x91161)),x91162),x91163)),f160(x91161,x91164)))
% 28.33/28.21 [9117]E(f328(f191(f912(x91171)),x91172),f328(f191(f912(x91171)),x91173))+~P107(f328(f328(f330(f917(f912(x91171),f912(x91171))),f328(f328(f256(f912(x91171),f912(x91171)),x91172),x91173)),f160(x91171,x91174)))
% 28.33/28.21 [9188]P107(f328(f328(f239(a911),f157(x91881,x91882,x91883)),f157(x91881,x91884,x91883)))+P107(f328(f328(f330(x91881),f612(x91884,x91882,x91883,x91881)),f328(f174(x91881),x91883)))
% 28.33/28.21 [9191]E(f328(f191(f912(x91911)),x91912),f328(f191(f912(x91911)),x91913))+~P107(f328(f328(f330(f917(f912(x91911),f912(x91911))),f328(f328(f256(f912(x91911),f912(x91911)),x91912),x91913)),f308(f912(x91911),f159(x91911,x91914))))
% 28.33/28.21 [9426]~P30(x94261,x94262,x94263,x94264)+~P107(f328(f328(f240(a911),f328(f38(x94262),f328(f311(x94261,x94262,x94263),x94264))),f328(f38(x94261),x94264)))
% 28.33/28.21 [9472]~P107(f328(f328(f330(f917(f912(x94721),f912(x94721))),f328(f328(f256(f912(x94721),f912(x94721)),x94722),x94723)),f159(x94721,x94724)))+P107(f328(f328(f330(f917(f912(x94721),f912(x94721))),f328(f328(f256(f912(x94721),f912(x94721)),x94722),x94723)),f160(x94721,f308(x94721,x94724))))
% 28.33/28.21 [9476]~P107(f328(f328(f330(f917(f912(x94761),f912(x94761))),f328(f328(f256(f912(x94761),f912(x94761)),x94762),x94763)),f160(x94761,x94764)))+P107(f328(f328(f330(f917(f912(x94761),f912(x94761))),f328(f328(f256(f912(x94761),f912(x94761)),x94762),x94763)),f308(f912(x94761),f159(x94761,x94764))))
% 28.33/28.21 [9492]P107(f328(f328(f330(f917(x94921,x94921)),f328(f328(f256(x94921,x94921),x94922),x94923)),f308(x94921,x94924)))+~P107(f328(f328(f330(f917(x94921,x94921)),f328(f328(f256(x94921,x94921),x94922),x94923)),f328(f328(f290(x94921,x94921,x94921),x94924),f308(x94921,x94924))))
% 28.33/28.21 [9673]E(f328(f328(f136(x96731),f566(x96732,x96733,x96734,x96731)),f328(f328(f153(x96731),f567(x96732,x96733,x96734,x96731)),f571(x96732,x96733,x96734,x96731))),x96734)+~P107(f328(f328(f330(f917(f912(x96731),f912(x96731))),f328(f328(f256(f912(x96731),f912(x96731)),x96734),x96733)),f159(x96731,x96732)))
% 28.33/28.21 [9674]E(f328(f328(f136(x96741),f566(x96742,x96743,x96744,x96741)),f328(f328(f153(x96741),f569(x96742,x96743,x96744,x96741)),f571(x96742,x96743,x96744,x96741))),x96743)+~P107(f328(f328(f330(f917(f912(x96741),f912(x96741))),f328(f328(f256(f912(x96741),f912(x96741)),x96744),x96743)),f159(x96741,x96742)))
% 28.33/28.21 [9752]P107(f328(f328(f330(f917(x97521,x97521)),f328(f328(f256(x97521,x97521),x97522),f731(x97523,x97524,x97522,x97521))),f308(x97521,x97523)))+~P107(f328(f328(f330(f917(x97521,x97521)),f328(f328(f256(x97521,x97521),x97522),x97524)),f328(f328(f290(x97521,x97521,x97521),x97523),f308(x97521,x97523))))
% 28.33/28.21 [9819]P107(f328(f328(f239(a911),f157(x98191,x98192,x98193)),f157(x98191,x98194,x98193)))+~P107(f328(f328(f240(a911),f328(x98192,f612(x98194,x98192,x98193,x98191))),f328(x98194,f612(x98194,x98192,x98193,x98191))))
% 28.33/28.21 [9888]P107(f328(f328(f330(f917(x98881,x98881)),f328(f328(f256(x98881,x98881),f738(x98882,x98883,x98884,x98881)),x98883)),f308(x98881,x98882)))+~P107(f328(f328(f330(f917(x98881,x98881)),f328(f328(f256(x98881,x98881),x98884),x98883)),f328(f328(f290(x98881,x98881,x98881),x98882),f308(x98881,x98882))))
% 28.33/28.21 [5341]~E(x53412,x53413)+E(f172(x53411,x53412,f328(f328(f153(x53411),x53413),x53414)),x53414)
% 28.33/28.21 [5353]~E(x53532,f2(a911))+E(f328(f328(f177(x53531),x53532),f328(f328(f153(x53531),x53533),x53534)),f117(x53531))
% 28.33/28.21 [5474]P107(f328(x54742,x54743))+E(f179(x54741,x54742,f328(f328(f153(x54741),x54743),x54744)),f117(x54741))
% 28.33/28.21 [5539]~P91(x55392)+E(f328(f328(f82(f918(x55391,x55392)),x55393),x55394),f328(f82(x55392),f328(x55393,x55394)))
% 28.33/28.21 [5540]~P91(x55402)+E(f328(f328(f82(f918(x55401,x55402)),x55403),x55404),f328(f82(x55402),f328(x55403,x55404)))
% 28.33/28.21 [5551]~E(x55512,f2(a911))+E(f328(f328(f140(x55511),x55512),f328(f328(f153(x55511),x55513),x55514)),f328(f328(f153(x55511),x55513),x55514))
% 28.33/28.21 [5552]P107(f328(x55522,x55523))+E(f328(f138(x55521,x55522),f328(f328(f153(x55521),x55523),x55524)),f328(f138(x55521,x55522),x55524))
% 28.33/28.21 [5690]~E(x56902,x56904)+P107(f328(f328(f328(f310(x56901),x56902),x56903),x56904))
% 28.33/28.21 [5698]E(x56981,f117(x56982))+E(f146(x56983,f328(f328(f156(x56982,x56983),x56984),x56981)),f328(x56984,f146(x56982,x56981)))
% 28.33/28.21 [5712]~E(x57121,f66(x57122,x57124))+E(f328(x57121,f328(f328(f310(x57122),x57123),f190(f918(x57122,a905)))),x57123)
% 28.33/28.21 [5728]~E(f328(f108(a911),x57282),f2(a911))+E(f328(f328(f177(x57281),f328(f108(a911),x57282)),f328(f328(f153(x57281),x57283),x57284)),f117(x57281))
% 28.33/28.21 [5747]E(x57471,f117(x57472))+E(f328(f143(x57473),f328(f328(f156(x57472,x57473),x57474),x57471)),f328(x57474,f328(f143(x57472),x57471)))
% 28.33/28.21 [5851]~P107(f328(x58513,x58514))+P107(f328(f328(f328(f310(x58511),x58512),x58513),x58514))
% 28.33/28.21 [5952]~E(f328(f108(a911),x59522),f2(a911))+E(f328(f328(f140(x59521),f328(f108(a911),x59522)),f328(f328(f153(x59521),x59523),x59524)),f328(f328(f153(x59521),x59523),x59524))
% 28.33/28.21 [5971]~P23(x59712,x59714,x59711)+E(f328(x59711,f328(f328(f310(x59712),x59713),f190(f918(x59712,a905)))),x59713)
% 28.33/28.21 [5997]~E(x59972,x59973)+P107(f328(f328(f330(x59971),x59972),f328(f328(f310(x59971),x59973),x59974)))
% 28.33/28.21 [5998]~E(x59982,x59983)+P107(f328(f328(f330(x59981),x59982),f328(f328(f310(x59981),x59983),x59984)))
% 28.33/28.21 [6002]~P114(x60021)+E(f328(f328(f83(x60021),x60022),f328(f328(f83(x60021),x60023),x60024)),f328(f328(f83(x60021),x60023),f328(f328(f83(x60021),x60022),x60024)))
% 28.33/28.21 [6003]~P114(x60031)+E(f328(f328(f84(x60031),x60032),f328(f328(f84(x60031),x60033),x60034)),f328(f328(f84(x60031),x60033),f328(f328(f84(x60031),x60032),x60034)))
% 28.33/28.21 [6004]~P109(x60041)+E(f328(f328(f243(x60041),x60042),f328(f328(f243(x60041),x60043),x60044)),f328(f328(f243(x60041),x60043),f328(f328(f243(x60041),x60042),x60044)))
% 28.33/28.21 [6005]~P109(x60051)+E(f328(f328(f243(x60051),x60052),f328(f328(f243(x60051),x60053),x60054)),f328(f328(f243(x60051),x60053),f328(f328(f243(x60051),x60052),x60054)))
% 28.33/28.21 [6006]~P109(x60061)+E(f328(f328(f238(x60061),x60062),f328(f328(f238(x60061),x60063),x60064)),f328(f328(f238(x60061),x60063),f328(f328(f238(x60061),x60062),x60064)))
% 28.33/28.21 [6007]~P109(x60071)+E(f328(f328(f238(x60071),x60072),f328(f328(f238(x60071),x60073),x60074)),f328(f328(f238(x60071),x60073),f328(f328(f238(x60071),x60072),x60074)))
% 28.33/28.21 [6008]~P100(x60081)+E(f328(f328(f105(x60081),x60082),f328(f328(f105(x60081),x60083),x60084)),f328(f328(f105(x60081),x60083),f328(f328(f105(x60081),x60082),x60084)))
% 28.33/28.21 [6009]~P100(x60091)+E(f328(f328(f105(x60091),x60092),f328(f328(f105(x60091),x60093),x60094)),f328(f328(f105(x60091),x60093),f328(f328(f105(x60091),x60092),x60094)))
% 28.33/28.21 [6010]~P101(x60101)+E(f328(f328(f105(x60101),x60102),f328(f328(f105(x60101),x60103),x60104)),f328(f328(f105(x60101),x60103),f328(f328(f105(x60101),x60102),x60104)))
% 28.33/28.21 [6011]~P101(x60111)+E(f328(f328(f106(x60111),x60112),f328(f328(f106(x60111),x60113),x60114)),f328(f328(f106(x60111),x60113),f328(f328(f106(x60111),x60112),x60114)))
% 28.33/28.21 [6012]~P104(x60121)+E(f328(f328(f106(x60121),x60122),f328(f328(f106(x60121),x60123),x60124)),f328(f328(f106(x60121),x60123),f328(f328(f106(x60121),x60122),x60124)))
% 28.33/28.21 [6013]~P104(x60131)+E(f328(f328(f106(x60131),x60132),f328(f328(f106(x60131),x60133),x60134)),f328(f328(f106(x60131),x60133),f328(f328(f106(x60131),x60132),x60134)))
% 28.33/28.21 [6018]E(x60181,x60182)+E(f172(x60183,x60181,f328(f328(f153(x60183),x60182),x60184)),f328(f328(f153(x60183),x60182),f172(x60183,x60181,x60184)))
% 28.33/28.21 [6031]~P107(f328(x60312,x60313))+E(f328(f138(x60311,x60312),f328(f328(f153(x60311),x60313),x60314)),f328(f328(f153(x60311),x60313),f328(f138(x60311,x60312),x60314)))
% 28.33/28.21 [6123]~E(x61234,f190(f918(x61231,a905)))+E(f328(f311(x61231,x61232,f328(f18(x61232,x61231),x61233)),x61234),f190(f918(x61232,a905)))
% 28.33/28.21 [6168]~P107(f328(x61682,x61683))+E(f179(x61681,x61682,f328(f328(f153(x61681),x61683),x61684)),f328(f328(f153(x61681),x61683),f179(x61681,x61682,x61684)))
% 28.33/28.21 [6234]E(x62341,f190(f918(x62342,a905)))+E(f328(f328(f42(x62342,f918(x62343,a905)),x62341),f328(f18(f918(x62343,a905),x62342),x62344)),x62344)
% 28.33/28.21 [6235]E(x62351,f190(f918(x62352,a905)))+E(f328(f328(f43(x62352,f918(x62353,a905)),x62351),f328(f18(f918(x62353,a905),x62352),x62354)),x62354)
% 28.33/28.21 [6244]~E(x62444,f190(f918(x62442,a905)))+E(f328(f328(f258(x62441,x62442),x62443),f328(f18(f918(x62442,a905),x62441),x62444)),f190(f918(f917(x62441,x62442),a905)))
% 28.33/28.21 [6245]~E(x62453,f190(f918(x62451,a905)))+E(f328(f328(f258(x62451,x62452),x62453),f328(f18(f918(x62452,a905),x62451),x62454)),f190(f918(f917(x62451,x62452),a905)))
% 28.33/28.21 [6296]E(x62961,f2(a911))+E(f328(f328(f140(x62962),x62961),f328(f328(f153(x62962),x62963),x62964)),f328(f328(f140(x62962),f328(f328(f3(a911),x62961),f81(a911))),x62964))
% 28.33/28.21 [6317]E(x63171,f190(f918(x63172,a905)))+E(f328(f311(x63172,x63173,f328(f18(x63173,x63172),x63174)),x63171),f328(f328(f310(x63173),x63174),f190(f918(x63173,a905))))
% 28.33/28.21 [6320]E(f328(f312(x63201,x63202,f328(f18(x63202,x63201),x63203)),x63204),f190(f918(x63201,a905)))+P107(f328(f328(f330(x63202),x63203),x63204))
% 28.33/28.21 [6385]~E(x63853,f190(f918(x63851,a905)))+E(f328(f328(f42(x63851,f918(x63852,a905)),x63853),f328(f18(f918(x63852,a905),x63851),x63854)),f190(f918(x63852,a905)))
% 28.33/28.21 [6386]~E(x63863,f190(f918(x63861,a905)))+E(f328(f328(f43(x63861,f918(x63862,a905)),x63863),f328(f18(f918(x63862,a905),x63861),x63864)),f246(f918(x63862,a905)))
% 28.33/28.21 [6388]~P8(x63881)+E(f48(x63881,f328(f328(f84(x63881),x63882),x63883),f328(f328(f84(x63881),x63882),x63884)),f328(f328(f84(x63881),x63882),f48(x63881,x63883,x63884)))
% 28.33/28.21 [6555]E(f328(f312(x65551,x65552,f328(f18(x65552,x65551),x65553)),x65554),f246(f918(x65551,a905)))+~P107(f328(f328(f330(x65552),x65553),x65554))
% 28.33/28.21 [6577]~P107(f328(f328(f330(x65771),x65772),x65774))+P107(f328(f328(f330(x65771),x65772),f328(f328(f310(x65771),x65773),x65774)))
% 28.33/28.21 [6578]~P107(f328(f328(f330(x65781),x65782),x65784))+P107(f328(f328(f330(x65781),x65782),f328(f328(f310(x65781),x65783),x65784)))
% 28.33/28.21 [6579]~P107(f328(f328(f330(x65791),x65792),x65794))+P107(f328(f328(f330(x65791),x65792),f328(f328(f310(x65791),x65793),x65794)))
% 28.33/28.21 [6584]P107(f328(x65841,x65842))+~P107(f328(f162(x65843,x65841),f328(f328(f153(x65843),x65842),x65844)))
% 28.33/28.21 [6593]~E(x65933,f328(f328(f3(a911),f328(f191(f912(x65931)),x65932)),f81(a911)))+E(f118(x65931,f328(f328(f161(x65931,x65932),x65933),x65934)),f118(x65931,x65932))
% 28.33/28.21 [6611]~P109(x66111)+E(f328(f328(f106(f918(x66111,a905)),f328(f302(x66111),x66112)),f304(x66111,x66113,x66114)),f304(x66111,x66113,f328(f328(f243(x66111),x66112),x66114)))
% 28.33/28.21 [6612]~P109(x66121)+E(f328(f328(f106(f918(x66121,a905)),f328(f285(x66121),x66122)),f304(x66121,x66123,x66124)),f304(x66121,f328(f328(f238(x66121),x66122),x66123),x66124))
% 28.33/28.21 [6628]E(f328(f328(f106(f918(x66281,a905)),x66282),f328(f328(f310(x66281),x66283),x66284)),f328(f328(f106(f918(x66281,a905)),x66282),x66284))+P107(f328(f328(f330(x66281),x66283),x66282))
% 28.33/28.21 [6629]E(f328(f328(f106(f918(x66291,a905)),x66292),f328(f328(f310(x66291),x66293),x66294)),f328(f328(f106(f918(x66291,a905)),x66292),x66294))+P107(f328(f328(f330(x66291),x66293),x66292))
% 28.33/28.21 [6641]E(f172(x66411,x66412,f328(f328(f136(x66411),x66413),x66414)),f328(f328(f136(x66411),x66413),f172(x66411,x66412,x66414)))+P107(f328(f328(f330(x66411),x66412),f328(f174(x66411),x66413)))
% 28.33/28.21 [6646]~P84(x66461)+E(f328(f328(f84(x66461),f328(f328(f248(x66461),x66462),x66463)),f328(f328(f248(x66461),x66462),x66464)),f328(f328(f248(x66461),x66462),f328(f328(f83(a911),x66463),x66464)))
% 28.33/28.21 [6647]~P114(x66471)+E(f328(f328(f84(x66471),f328(f328(f248(x66471),x66472),x66473)),f328(f328(f248(x66471),x66472),x66474)),f328(f328(f248(x66471),x66472),f328(f328(f83(a911),x66473),x66474)))
% 28.33/28.21 [6683]~P114(x66831)+E(f328(f328(f83(x66831),f328(f328(f84(x66831),x66832),x66833)),f328(f328(f84(x66831),x66832),x66834)),f328(f328(f84(x66831),x66832),f328(f328(f83(x66831),x66833),x66834)))
% 28.33/28.21 [6684]~P109(x66841)+E(f328(f328(f238(x66841),f328(f328(f243(x66841),x66842),x66843)),f328(f328(f243(x66841),x66842),x66844)),f328(f328(f243(x66841),x66842),f328(f328(f238(x66841),x66843),x66844)))
% 28.33/28.21 [6685]~P109(x66851)+E(f328(f328(f243(x66851),f328(f328(f238(x66851),x66852),x66853)),f328(f328(f238(x66851),x66852),x66854)),f328(f328(f238(x66851),x66852),f328(f328(f243(x66851),x66853),x66854)))
% 28.33/28.21 [6686]~P102(x66861)+E(f328(f328(f106(x66861),f328(f328(f105(x66861),x66862),x66863)),f328(f328(f105(x66861),x66862),x66864)),f328(f328(f105(x66861),x66862),f328(f328(f106(x66861),x66863),x66864)))
% 28.33/28.21 [6687]~P102(x66871)+E(f328(f328(f105(x66871),f328(f328(f106(x66871),x66872),x66873)),f328(f328(f106(x66871),x66872),x66874)),f328(f328(f106(x66871),x66872),f328(f328(f105(x66871),x66873),x66874)))
% 28.33/28.21 [6721]~P8(x67211)+E(f48(x67211,f328(f328(f84(x67211),x67212),x67213),f328(f328(f84(x67211),x67214),x67213)),f328(f328(f84(x67211),f48(x67211,x67212,x67214)),x67213))
% 28.33/28.21 [6724]~E(f328(f191(f912(x67241)),x67243),f328(f191(f912(x67242)),x67244))+E(f328(f328(f156(f917(x67241,x67242),x67242),f260(x67241,x67242)),f328(f328(f183(x67241,x67242),x67243),x67244)),x67244)
% 28.33/28.21 [6725]~E(f328(f191(f912(x67251)),x67253),f328(f191(f912(x67252)),x67254))+E(f328(f328(f156(f917(x67251,x67252),x67251),f255(x67251,x67252)),f328(f328(f183(x67251,x67252),x67253),x67254)),x67253)
% 28.33/28.21 [6730]P107(f328(f162(x67301,x67302),x67303))+~P107(f328(f162(x67301,x67302),f328(f328(f136(x67301),x67304),x67303)))
% 28.33/28.21 [6731]P107(f328(f162(x67311,x67312),x67313))+~P107(f328(f162(x67311,x67312),f328(f328(f136(x67311),x67313),x67314)))
% 28.33/28.21 [6732]P107(f328(f162(x67321,x67322),x67323))+~P107(f328(f162(x67321,x67322),f328(f328(f153(x67321),x67324),x67323)))
% 28.33/28.21 [6737]~P8(x67371)+E(f48(x67371,f328(f328(f83(x67371),x67372),f48(x67371,x67373,x67374)),x67374),f48(x67371,f328(f328(f83(x67371),x67372),x67373),x67374))
% 28.33/28.21 [6738]~P8(x67381)+E(f48(x67381,f328(f328(f84(x67381),x67382),f48(x67381,x67383,x67384)),x67384),f48(x67381,f328(f328(f84(x67381),x67382),x67383),x67384))
% 28.33/28.21 [6739]~P9(x67391)+E(f48(x67391,f328(f328(f3(x67391),x67392),f48(x67391,x67393,x67394)),x67394),f48(x67391,f328(f328(f3(x67391),x67392),x67393),x67394))
% 28.33/28.21 [6740]~P8(x67401)+E(f48(x67401,f328(f328(f83(x67401),x67402),f48(x67401,x67403,x67404)),x67404),f48(x67401,f328(f328(f83(x67401),x67402),x67403),x67404))
% 28.33/28.21 [6819]~P109(x68191)+E(f328(f328(f106(f918(x68191,a905)),f304(x68191,x68192,x68193)),f328(f302(x68191),x68194)),f304(x68191,x68192,f328(f328(f243(x68191),x68193),x68194)))
% 28.33/28.21 [6820]~P109(x68201)+E(f328(f328(f106(f918(x68201,a905)),f304(x68201,x68202,x68203)),f328(f285(x68201),x68204)),f304(x68201,f328(f328(f238(x68201),x68202),x68204),x68203))
% 28.33/28.21 [6823]~E(f328(f191(f912(x68231)),x68233),f328(f191(f912(x68232)),x68234))+E(f328(f328(f183(x68231,x68232),f328(f170(x68231),x68233)),f328(f170(x68232),x68234)),f328(f170(f917(x68231,x68232)),f328(f328(f183(x68231,x68232),x68233),x68234)))
% 28.33/28.21 [6833]E(x68331,f328(f328(f3(a911),f328(f191(f912(x68332)),x68333)),f81(a911)))+E(f118(x68332,f328(f328(f161(x68332,x68333),x68331),x68334)),f328(f328(f161(x68332,f118(x68332,x68333)),x68331),x68334))
% 28.33/28.21 [6847]~P107(f328(f139(x68472),x68474))+P107(f328(f139(f917(x68471,x68472)),f328(f328(f183(x68471,x68472),x68473),x68474)))
% 28.33/28.21 [6848]~P107(f328(f139(x68481),x68483))+P107(f328(f139(f917(x68481,x68482)),f328(f328(f183(x68481,x68482),x68483),x68484)))
% 28.33/28.21 [6937]E(x69371,f328(f328(f328(a198,x69372),x69373),f328(x69374,x69372)))+~P107(f328(f328(f196(f27(x69373,x69374)),x69372),x69371))
% 28.33/28.21 [7108]E(f328(f328(f39(a911),x71081),x71082),x71083)+~P107(f328(f51(x71081,x71082),f328(f328(f256(a911,a911),x71083),x71084)))
% 28.33/28.21 [7131]E(f48(a911,x71311,x71312),x71313)+~P107(f328(f51(x71311,x71312),f328(f328(f256(a911,a911),x71314),x71313)))
% 28.33/28.21 [7134]P107(f328(f139(x71341),x71342))+~P107(f328(f139(x71343),f328(f328(f156(x71341,x71343),x71344),x71342)))
% 28.33/28.21 [7216]E(f172(x72161,x72162,f328(f328(f136(x72161),x72163),x72164)),f328(f328(f136(x72161),f172(x72161,x72162,x72163)),x72164))+~P107(f328(f328(f330(x72161),x72162),f328(f174(x72161),x72163)))
% 28.33/28.21 [7279]E(f328(f108(a911),x72791),f2(a911))+E(f328(f328(f140(x72792),f328(f108(a911),x72791)),f328(f328(f153(x72792),x72793),x72794)),f328(f328(f140(x72792),f328(f328(f3(a911),f328(f108(a911),x72791)),f81(a911))),x72794))
% 28.33/28.21 [7306]~P8(x73061)+E(f48(x73061,f328(f328(f83(x73061),f48(x73061,x73062,x73063)),x73064),x73063),f48(x73061,f328(f328(f83(x73061),x73062),x73064),x73063))
% 28.33/28.21 [7307]~P8(x73071)+E(f48(x73071,f328(f328(f84(x73071),f48(x73071,x73072,x73073)),x73074),x73073),f48(x73071,f328(f328(f84(x73071),x73072),x73074),x73073))
% 28.33/28.21 [7308]~P9(x73081)+E(f48(x73081,f328(f328(f3(x73081),f48(x73081,x73082,x73083)),x73084),x73083),f48(x73081,f328(f328(f3(x73081),x73082),x73084),x73083))
% 28.33/28.21 [7309]~P8(x73091)+E(f48(x73091,f328(f328(f83(x73091),f48(x73091,x73092,x73093)),x73094),x73093),f48(x73091,f328(f328(f83(x73091),x73092),x73094),x73093))
% 28.33/28.21 [7310]~P8(x73101)+E(f48(x73101,f328(f328(f84(x73101),f48(x73101,x73102,x73103)),x73104),x73103),f48(x73101,f328(f328(f84(x73101),x73102),x73104),x73103))
% 28.33/28.21 [7511]~E(x75111,f328(f328(f153(x75112),x75113),x75114))+~P107(f328(f328(f239(a911),f328(f191(f912(x75112)),x75111)),f328(f191(f912(x75112)),x75114)))
% 28.33/28.21 [7718]P30(x77181,x77182,x77183,f328(f174(x77181),x77184))+~P107(f328(f139(x77182),f328(f328(f156(x77181,x77182),x77183),x77184)))
% 28.33/28.21 [7792]~P107(f328(f328(f239(f918(x77921,a905)),x77922),x77924))+P107(f328(f328(f239(f918(x77921,a905)),x77922),f328(f328(f310(x77921),x77923),x77924)))
% 28.33/28.21 [7826]~P8(x78261)+E(f48(x78261,f328(f328(f83(x78261),f48(x78261,x78262,x78263)),f48(x78261,x78264,x78263)),x78263),f48(x78261,f328(f328(f83(x78261),x78262),x78264),x78263))
% 28.33/28.21 [7827]~P8(x78271)+E(f48(x78271,f328(f328(f84(x78271),f48(x78271,x78272,x78273)),f48(x78271,x78274,x78273)),x78273),f48(x78271,f328(f328(f84(x78271),x78272),x78274),x78273))
% 28.33/28.21 [7828]~P9(x78281)+E(f48(x78281,f328(f328(f3(x78281),f48(x78281,x78282,x78283)),f48(x78281,x78284,x78283)),x78283),f48(x78281,f328(f328(f3(x78281),x78282),x78284),x78283))
% 28.33/28.21 [7933]~E(f328(x79334,f385(x79334,x79333,x79331,x79332)),f190(f918(x79332,a905)))+E(f328(f328(f42(x79331,f918(x79332,a905)),x79333),x79334),f190(f918(x79332,a905)))
% 28.33/28.21 [7934]~E(f328(x79344,f613(x79344,x79343,x79341,x79342)),f246(f918(x79342,a905)))+E(f328(f328(f43(x79341,f918(x79342,a905)),x79343),x79344),f246(f918(x79342,a905)))
% 28.33/28.21 [7935]~E(f328(x79354,f386(x79354,x79353,x79352,x79351)),f190(f918(x79352,a905)))+E(f328(f328(f42(x79351,f918(x79352,a905)),x79353),x79354),f190(f918(x79352,a905)))
% 28.33/28.21 [7936]~E(f328(x79364,f614(x79364,x79363,x79362,x79361)),f246(f918(x79362,a905)))+E(f328(f328(f43(x79361,f918(x79362,a905)),x79363),x79364),f246(f918(x79362,a905)))
% 28.33/28.21 [8338]P107(f328(x83381,x83382))+~P107(f328(f328(f330(x83383),x83382),f328(f328(f106(f918(x83383,a905)),x83384),f328(f266(x83383),x83381))))
% 28.33/28.21 [8376]~P107(f328(f328(f239(f918(x83761,a905)),x83763),x83764))+P107(f328(f328(f239(f918(x83761,a905)),f328(f328(f310(x83761),x83762),x83763)),f328(f328(f310(x83761),x83762),x83764)))
% 28.33/28.21 [8420]P107(f328(f328(f330(x84201),x84202),x84203))+~P107(f328(f328(f330(x84201),x84202),f328(f328(f106(f918(x84201,a905)),x84203),f328(f266(x84201),x84204))))
% 28.33/28.21 [8545]P107(f328(f328(f196(x85451),x85452),f873(x85453,x85452,x85454,x85451)))+~P107(f328(f328(f196(f34(x85451,x85454)),x85452),x85453))
% 28.33/28.21 [8546]P107(f328(f328(f196(x85461),x85462),f879(x85463,x85462,x85464,x85461)))+~P107(f328(f328(f196(f34(x85461,x85464)),x85462),x85463))
% 28.33/28.21 [8555]P107(f328(x85552,x85553))+E(f328(f328(f140(x85551),f328(f191(f912(x85551)),f179(x85551,x85552,f328(f328(f153(x85551),x85553),x85554)))),f328(f328(f153(x85551),x85553),x85554)),f328(f328(f153(x85551),x85553),x85554))
% 28.33/28.21 [8670]~P107(f328(f328(f240(a911),f328(x86704,x86702)),f328(x86704,x86703)))+P107(f328(f328(f330(f917(x86701,x86701)),f328(f328(f256(x86701,x86701),x86702),x86703)),f328(f328(f289(a911,x86701),a244),x86704)))
% 28.33/28.21 [8763]~P107(f328(x87632,f704(x87634,x87632,x87633,x87631)))+E(f179(x87631,x87632,f328(f328(f136(x87631),x87633),x87634)),f328(f328(f136(x87631),x87633),f179(x87631,x87632,x87634)))
% 28.33/28.21 [8836]P30(f912(x88361),f912(x88362),f328(f156(x88361,x88362),x88363),x88364)+~P30(x88361,x88362,x88363,f40(f918(x88361,a905),f328(f311(f912(x88361),f918(x88361,a905),f174(x88361)),x88364)))
% 28.33/28.21 [8906]~P107(f328(x89062,x89063))+E(f328(f328(f140(x89061),f328(f191(f912(x89061)),f179(x89061,x89062,f328(f328(f153(x89061),x89063),x89064)))),f328(f328(f153(x89061),x89063),x89064)),f328(f328(f140(x89061),f328(f191(f912(x89061)),f179(x89061,x89062,x89064))),x89064))
% 28.33/28.21 [8945]~E(x89452,x89453)+E(f328(f138(x89451,f328(f328(f10(a905,a905,x89451),a323),f328(a325,x89452))),f328(f328(f153(x89451),x89453),x89454)),f328(f138(x89451,f328(f328(f10(a905,a905,x89451),a323),f328(a325,x89452))),x89454))
% 28.33/28.21 [8955]E(f328(f328(f42(x89551,f918(x89552,a905)),x89553),x89554),f190(f918(x89552,a905)))+P107(f328(f328(f330(x89551),f385(x89554,x89553,x89551,x89552)),x89553))
% 28.33/28.21 [8956]E(f328(f328(f43(x89561,f918(x89562,a905)),x89563),x89564),f246(f918(x89562,a905)))+P107(f328(f328(f330(x89561),f613(x89564,x89563,x89561,x89562)),x89563))
% 28.33/28.21 [8957]E(f328(f328(f42(x89571,f918(x89572,a905)),x89573),x89574),f190(f918(x89572,a905)))+P107(f328(f328(f330(x89571),f386(x89574,x89573,x89572,x89571)),x89573))
% 28.33/28.21 [8958]E(f328(f328(f43(x89581,f918(x89582,a905)),x89583),x89584),f246(f918(x89582,a905)))+P107(f328(f328(f330(x89581),f614(x89584,x89583,x89582,x89581)),x89583))
% 28.33/28.21 [8995]P107(f328(f328(f240(a911),f328(x89951,x89952)),f328(x89951,x89953)))+~P107(f328(f328(f330(f917(x89954,x89954)),f328(f328(f256(x89954,x89954),x89952),x89953)),f328(f328(f289(a911,x89954),a244),x89951)))
% 28.33/28.21 [9021]E(f179(x90211,x90212,f328(f328(f136(x90211),x90213),x90214)),f328(f328(f136(x90211),x90213),f179(x90211,x90212,x90214)))+P107(f328(f328(f330(x90211),f704(x90214,x90212,x90213,x90211)),f328(f174(x90211),x90213)))
% 28.33/28.21 [9059]P107(f328(f328(f196(x90591),f873(x90592,x90593,x90591,x90594)),x90592))+~P107(f328(f328(f196(f34(x90594,x90591)),x90593),x90592))
% 28.33/28.21 [9060]P107(f328(f328(f196(x90601),f879(x90602,x90603,x90601,x90604)),x90602))+~P107(f328(f328(f196(f34(x90604,x90601)),x90603),x90602))
% 28.33/28.21 [9177]P107(f328(f328(f330(x91771),f362(x91772,x91773,x91774,x91771)),x91773))+~P107(f328(f328(f330(f918(x91771,a905)),x91774),f328(f328(f63(x91771),x91773),x91772)))
% 28.33/28.21 [9180]E(x91801,x91802)+~P107(f328(f328(f330(f917(x91803,x91803)),f328(f328(f256(x91803,x91803),x91801),x91802)),f328(f328(f185(f917(x91803,x91803),a905),f2(a911)),x91804)))
% 28.33/28.21 [9260]E(f328(f287(x92601,x92601,x92602),f328(f328(f310(x92601),f362(x92602,x92603,x92604,x92601)),f190(f918(x92601,a905)))),x92604)+~P107(f328(f328(f330(f918(x92601,a905)),x92604),f328(f328(f63(x92601),x92603),x92602)))
% 28.33/28.21 [9271]~P107(f328(f328(f330(f917(x92711,x92711)),f328(f328(f256(x92711,x92711),x92713),x92712)),f308(x92711,x92714)))+P107(f328(f328(f330(f917(x92711,x92711)),f328(f328(f256(x92711,x92711),x92712),x92713)),f308(x92711,f328(f288(x92711,x92711),x92714))))
% 28.33/28.21 [9286]~P8(x92861)+E(f328(f328(f83(x92861),f328(f328(f83(x92861),f328(f328(f84(x92861),x92862),f328(f328(f39(x92861),x92863),x92862))),f48(x92861,x92863,x92862))),x92864),f328(f328(f83(x92861),x92863),x92864))
% 28.33/28.21 [9296]~P107(f328(f328(f330(x92961),x92963),x92964))+P107(f328(f328(f330(f918(x92961,a905)),f328(f287(x92961,x92961,x92962),f328(f328(f310(x92961),x92963),f190(f918(x92961,a905))))),f328(f328(f63(x92961),x92964),x92962)))
% 28.33/28.21 [9308]P107(f328(f328(f330(f917(x93081,x93081)),f328(f328(f256(x93081,x93081),x93082),x93083)),f308(x93081,x93084)))+~P107(f328(f328(f330(f917(x93081,x93081)),f328(f328(f256(x93081,x93081),x93083),x93082)),f308(x93081,f328(f288(x93081,x93081),x93084))))
% 28.33/28.21 [9389]E(f328(f328(f161(x93891,f328(f170(x93891),x93892)),f328(f328(f3(a911),f328(f328(f3(a911),f328(f191(f912(x93891)),x93892)),x93893)),f81(a911))),x93894),f328(f170(x93891),f328(f328(f161(x93891,x93892),x93893),x93894)))+~P107(f328(f328(f240(a911),x93893),f328(f191(f912(x93891)),x93892)))
% 28.33/28.21 [9392]~P107(f328(x93922,f698(x93924,x93922,x93923,x93921)))+E(f328(f328(f140(x93921),f328(f191(f912(x93921)),f179(x93921,x93922,f328(f328(f136(x93921),x93923),x93924)))),f328(f328(f136(x93921),x93923),x93924)),f328(f328(f140(x93921),f328(f191(f912(x93921)),f179(x93921,x93922,x93924))),x93924))
% 28.33/28.21 [9434]~P30(x94342,x94341,x94343,f246(f918(x94342,a905)))+P107(f328(f328(f239(f918(x94341,a905)),f328(f311(x94342,x94341,x94343),f328(f82(f918(x94342,a905)),x94344))),f328(f82(f918(x94341,a905)),f328(f311(x94342,x94341,x94343),x94344))))
% 28.33/28.21 [9445]~P10(x94451)+E(f328(f144(x94451,x94452,f328(f9(x94452,x94451,x94451),f328(f328(f10(x94451,f918(x94451,x94451),x94452),f105(x94451)),x94453)),f190(x94451)),x94454),f328(f328(f42(x94452,x94451),f328(f174(x94452),x94454)),x94453))
% 28.33/28.21 [9446]~P10(x94461)+E(f328(f144(x94461,x94462,f328(f9(x94462,x94461,x94461),f328(f328(f10(x94461,f918(x94461,x94461),x94462),f106(x94461)),x94463)),f246(x94461)),x94464),f328(f328(f43(x94462,x94461),f328(f174(x94462),x94464)),x94463))
% 28.33/28.21 [9456]E(f328(f328(f140(x94561),f328(f191(f912(x94561)),f179(x94561,x94562,f328(f328(f136(x94561),x94563),x94564)))),f328(f328(f136(x94561),x94563),x94564)),f328(f328(f140(x94561),f328(f191(f912(x94561)),f179(x94561,x94562,x94564))),x94564))+P107(f328(f328(f330(x94561),f698(x94564,x94562,x94563,x94561)),f328(f174(x94561),x94563)))
% 28.33/28.21 [9524]~P107(f328(f328(f330(f917(f912(x95244),f912(x95244))),f328(f328(f256(f912(x95244),f912(x95244)),x95243),x95242)),f159(x95244,x95241)))+P107(f328(f328(f240(a911),f588(x95241,x95242,x95243,x95244)),f328(f191(f912(x95244)),x95243)))
% 28.33/28.21 [9525]~P8(x95251)+E(f328(f328(f83(x95251),f328(f328(f83(x95251),f328(f328(f84(x95251),f328(f328(f39(x95251),x95252),x95253)),x95253)),f48(x95251,x95252,x95253))),x95254),f328(f328(f83(x95251),x95252),x95254))
% 28.33/28.21 [9553]~P107(f328(f328(f330(f917(f912(x95531),f912(x95531))),f328(f328(f256(f912(x95531),f912(x95531)),x95532),x95533)),f328(f288(f912(x95531),f912(x95531)),f159(x95531,x95534))))+P107(f328(f328(f330(f917(f912(x95531),f912(x95531))),f328(f328(f256(f912(x95531),f912(x95531)),x95532),x95533)),f159(x95531,f328(f288(x95531,x95531),x95534))))
% 28.33/28.21 [9554]P107(f328(f328(f330(f917(f912(x95541),f912(x95541))),f328(f328(f256(f912(x95541),f912(x95541)),x95542),x95543)),f328(f288(f912(x95541),f912(x95541)),f159(x95541,x95544))))+~P107(f328(f328(f330(f917(f912(x95541),f912(x95541))),f328(f328(f256(f912(x95541),f912(x95541)),x95542),x95543)),f159(x95541,f328(f288(x95541,x95541),x95544))))
% 28.33/28.21 [9593]~P107(f328(f328(f330(x95931),x95933),f328(f268(x95931,x95932),x95934)))+P107(f328(f328(f330(f917(x95931,x95932)),f328(f328(f256(x95931,x95932),x95933),f635(x95934,x95932,x95933,x95931))),x95934))
% 28.33/28.21 [9594]~P107(f328(f328(f330(x95941),x95943),f328(f268(x95941,x95942),x95944)))+P107(f328(f328(f330(f917(x95941,x95942)),f328(f328(f256(x95941,x95942),x95943),f639(x95944,x95942,x95943,x95941))),x95944))
% 28.33/28.21 [9747]~P107(f328(f328(f330(f917(x97471,x97471)),f328(f328(f256(x97471,x97471),x97472),x97474)),f328(f328(f290(x97471,x97471,x97471),x97473),f308(x97471,x97473))))+P107(f328(f328(f330(f917(x97471,x97471)),f328(f328(f256(x97471,x97471),x97472),f738(x97473,x97474,x97472,x97471))),x97473))
% 28.33/28.21 [9911]~P107(f328(f328(f330(f917(x99112,x99111)),x99114),f328(f288(x99111,x99112),x99113)))+P107(f328(f328(f330(f917(x99111,x99112)),f328(f328(f256(x99111,x99112),f784(x99113,x99114,x99111,x99112)),f783(x99113,x99114,x99111,x99112))),x99113))
% 28.33/28.21 [9935]~P107(f328(f328(f330(f917(f912(x99351),f912(x99351))),f328(f328(f256(f912(x99351),f912(x99351)),x99354),x99353)),f159(x99351,x99352)))+P107(f328(f328(f330(f917(x99351,x99351)),f328(f328(f256(x99351,x99351),f567(x99352,x99353,x99354,x99351)),f569(x99352,x99353,x99354,x99351))),x99352))
% 28.33/28.21 [10022]~P107(f328(f328(f330(f917(f912(x100221),f912(x100221))),f328(f328(f256(f912(x100221),f912(x100221)),x100222),x100224)),f159(x100221,x100223)))+P107(f328(f328(f330(f917(x100221,x100221)),f328(f328(f256(x100221,x100221),f328(f328(f166(x100221),x100222),f588(x100223,x100224,x100222,x100221))),f589(x100223,x100224,x100222,x100221))),x100223))
% 28.33/28.21 [10043]~P107(f328(f64(x100432),x100434))+E(f328(f328(f328(f68(f918(x100431,a905),x100432,f105(f918(x100431,a905))),f328(f328(f9(x100432,f918(x100431,a905),f918(x100431,a905)),f328(f328(f10(x100431,f918(f918(x100431,a905),f918(x100431,a905)),x100432),f310(x100431)),x100433)),f190(f918(x100431,a905)))),f190(f918(x100431,a905))),x100434),f328(f311(x100432,x100431,x100433),x100434))
% 28.33/28.21 [10137]~P30(x101371,x101372,x101373,f246(f918(x101371,a905)))+P107(f328(f328(f239(f918(x101371,a905)),f328(f312(x101371,x101372,x101373),f328(f328(f310(x101372),x101374),f190(f918(x101372,a905))))),f328(f328(f310(x101371),f88(x101371,f328(f328(f9(x101371,x101372,a905),f328(f328(f10(x101372,f918(x101372,a905),x101371),a325),x101373)),x101374))),f190(f918(x101371,a905)))))
% 28.33/28.21 [5758]~E(f328(f328(f136(x57581),x57582),x57584),x57583)+E(f328(f328(f177(x57581),f328(f191(f912(x57581)),x57582)),x57583),x57582)
% 28.33/28.21 [5759]~E(f328(f328(f136(x57592),x57593),x57591),x57594)+E(x57591,f328(f328(f140(x57592),f328(f191(f912(x57592)),x57593)),x57594))
% 28.33/28.21 [5770]~E(x57704,f2(a911))+E(f328(f328(f166(x57701),f328(f328(f153(x57701),x57702),x57703)),x57704),x57702)
% 28.33/28.21 [6309]~P114(x63091)+E(f328(f328(f248(x63091),f328(f328(f248(x63091),x63092),x63093)),x63094),f328(f328(f248(x63091),x63092),f328(f328(f84(a911),x63093),x63094)))
% 28.33/28.21 [6310]~P84(x63101)+E(f328(f328(f248(x63101),f328(f328(f248(x63101),x63102),x63103)),x63104),f328(f328(f248(x63101),x63102),f328(f328(f84(a911),x63103),x63104)))
% 28.33/28.21 [6318]E(x63181,f2(a911))+E(f328(f328(f166(x63182),f328(f328(f153(x63182),x63183),x63184)),x63181),f328(f328(f166(x63182),x63184),f328(f328(f3(a911),x63181),f81(a911))))
% 28.33/28.21 [6343]~P114(x63431)+E(f328(f328(f83(x63431),f328(f328(f83(x63431),x63432),x63433)),x63434),f328(f328(f83(x63431),x63432),f328(f328(f83(x63431),x63433),x63434)))
% 28.33/28.21 [6344]~P114(x63441)+E(f328(f328(f84(x63441),f328(f328(f84(x63441),x63442),x63443)),x63444),f328(f328(f84(x63441),x63442),f328(f328(f84(x63441),x63443),x63444)))
% 28.33/28.21 [6345]~P121(x63451)+E(f328(f328(f291(x63451),f328(f328(f84(x63451),x63452),x63453)),x63454),f328(f328(f84(x63451),x63452),f328(f328(f291(x63451),x63453),x63454)))
% 28.33/28.21 [6346]~P6(x63461)+E(f328(f328(f83(x63461),f328(f328(f83(x63461),x63462),x63463)),x63464),f328(f328(f83(x63461),x63462),f328(f328(f83(x63461),x63463),x63464)))
% 28.33/28.21 [6347]~P114(x63471)+E(f328(f328(f83(x63471),f328(f328(f83(x63471),x63472),x63473)),x63474),f328(f328(f83(x63471),x63472),f328(f328(f83(x63471),x63473),x63474)))
% 28.33/28.21 [6348]~P114(x63481)+E(f328(f328(f84(x63481),f328(f328(f84(x63481),x63482),x63483)),x63484),f328(f328(f84(x63481),x63482),f328(f328(f84(x63481),x63483),x63484)))
% 28.33/28.21 [6349]~P73(x63491)+E(f328(f328(f84(x63491),f328(f328(f84(x63491),x63492),x63493)),x63494),f328(f328(f84(x63491),x63492),f328(f328(f84(x63491),x63493),x63494)))
% 28.33/28.21 [6351]~P109(x63511)+E(f328(f328(f243(x63511),f328(f328(f243(x63511),x63512),x63513)),x63514),f328(f328(f243(x63511),x63512),f328(f328(f243(x63511),x63513),x63514)))
% 28.33/28.21 [6352]~P109(x63521)+E(f328(f328(f243(x63521),f328(f328(f243(x63521),x63522),x63523)),x63524),f328(f328(f243(x63521),x63522),f328(f328(f243(x63521),x63523),x63524)))
% 28.33/28.21 [6353]~P109(x63531)+E(f328(f328(f238(x63531),f328(f328(f238(x63531),x63532),x63533)),x63534),f328(f328(f238(x63531),x63532),f328(f328(f238(x63531),x63533),x63534)))
% 28.33/28.21 [6354]~P109(x63541)+E(f328(f328(f238(x63541),f328(f328(f238(x63541),x63542),x63543)),x63544),f328(f328(f238(x63541),x63542),f328(f328(f238(x63541),x63543),x63544)))
% 28.33/28.21 [6355]~P100(x63551)+E(f328(f328(f105(x63551),f328(f328(f105(x63551),x63552),x63553)),x63554),f328(f328(f105(x63551),x63552),f328(f328(f105(x63551),x63553),x63554)))
% 28.33/28.21 [6356]~P100(x63561)+E(f328(f328(f105(x63561),f328(f328(f105(x63561),x63562),x63563)),x63564),f328(f328(f105(x63561),x63562),f328(f328(f105(x63561),x63563),x63564)))
% 28.33/28.21 [6357]~P101(x63571)+E(f328(f328(f105(x63571),f328(f328(f105(x63571),x63572),x63573)),x63574),f328(f328(f105(x63571),x63572),f328(f328(f105(x63571),x63573),x63574)))
% 28.33/28.21 [6358]~P101(x63581)+E(f328(f328(f106(x63581),f328(f328(f106(x63581),x63582),x63583)),x63584),f328(f328(f106(x63581),x63582),f328(f328(f106(x63581),x63583),x63584)))
% 28.33/28.21 [6359]~P104(x63591)+E(f328(f328(f106(x63591),f328(f328(f106(x63591),x63592),x63593)),x63594),f328(f328(f106(x63591),x63592),f328(f328(f106(x63591),x63593),x63594)))
% 28.33/28.21 [6360]~P104(x63601)+E(f328(f328(f106(x63601),f328(f328(f106(x63601),x63602),x63603)),x63604),f328(f328(f106(x63601),x63602),f328(f328(f106(x63601),x63603),x63604)))
% 28.33/28.21 [6369]~P8(x63691)+E(f48(x63691,f328(f328(f83(x63691),x63692),f328(f328(f84(x63691),x63693),x63694)),x63694),f48(x63691,x63692,x63694))
% 28.33/28.21 [6370]~P8(x63701)+E(f48(x63701,f328(f328(f83(x63701),x63702),f328(f328(f84(x63701),x63703),x63704)),x63703),f48(x63701,x63702,x63703))
% 28.33/28.21 [6503]E(f328(f328(f166(x65031),f328(f328(f177(x65031),x65032),x65033)),x65034),f328(f328(f166(x65031),x65033),x65034))+~P107(f328(f328(f240(a911),x65034),x65032))
% 28.33/28.21 [6679]~E(x66792,x66794)+P107(f328(f328(f174(x66791),f328(f328(f153(x66791),x66792),x66793)),x66794))
% 28.33/28.21 [6681]~P114(x66811)+E(f328(f328(f83(x66811),f328(f328(f83(x66811),x66812),x66813)),x66814),f328(f328(f83(x66811),f328(f328(f83(x66811),x66812),x66814)),x66813))
% 28.33/28.21 [6682]~P114(x66821)+E(f328(f328(f84(x66821),f328(f328(f84(x66821),x66822),x66823)),x66824),f328(f328(f84(x66821),f328(f328(f84(x66821),x66822),x66824)),x66823))
% 28.33/28.21 [6743]~P108(x67432)+E(f328(f328(f8(x67431,x67432),f328(f18(x67432,x67431),x67433)),x67434),f328(f328(f84(x67432),f328(f104(x67432),f328(f38(x67431),x67434))),x67433))
% 28.33/28.21 [6907]E(f328(f328(f106(f918(x69071,a905)),f328(f328(f310(x69071),x69072),x69073)),x69074),f328(f328(f106(f918(x69071,a905)),x69073),x69074))+P107(f328(f328(f330(x69071),x69072),x69074))
% 28.33/28.21 [6908]E(f328(f328(f106(f918(x69081,a905)),f328(f328(f310(x69081),x69082),x69083)),x69084),f328(f328(f106(f918(x69081,a905)),x69083),x69084))+P107(f328(f328(f330(x69081),x69082),x69084))
% 28.33/28.21 [6976]~P3(x69761)+E(f328(f328(f243(x69761),f328(f328(f83(x69761),x69762),x69763)),f328(f328(f83(x69761),x69764),x69763)),f328(f328(f83(x69761),f328(f328(f243(x69761),x69762),x69764)),x69763))
% 28.33/28.21 [6977]~P3(x69771)+E(f328(f328(f238(x69771),f328(f328(f83(x69771),x69772),x69773)),f328(f328(f83(x69771),x69774),x69773)),f328(f328(f83(x69771),f328(f328(f238(x69771),x69772),x69774)),x69773))
% 28.33/28.21 [6978]~P114(x69781)+E(f328(f328(f83(x69781),f328(f328(f84(x69781),x69782),x69783)),f328(f328(f84(x69781),x69784),x69783)),f328(f328(f84(x69781),f328(f328(f83(x69781),x69782),x69784)),x69783))
% 28.33/28.21 [6979]~P115(x69791)+E(f328(f328(f83(x69791),f328(f328(f84(x69791),x69792),x69793)),f328(f328(f84(x69791),x69794),x69793)),f328(f328(f84(x69791),f328(f328(f83(x69791),x69792),x69794)),x69793))
% 28.33/28.21 [6980]~P82(x69801)+E(f328(f328(f243(x69801),f328(f328(f3(x69801),x69802),x69803)),f328(f328(f3(x69801),x69804),x69803)),f328(f328(f3(x69801),f328(f328(f243(x69801),x69802),x69804)),x69803))
% 28.33/28.21 [6981]~P82(x69811)+E(f328(f328(f238(x69811),f328(f328(f3(x69811),x69812),x69813)),f328(f328(f3(x69811),x69814),x69813)),f328(f328(f3(x69811),f328(f328(f238(x69811),x69812),x69814)),x69813))
% 28.33/28.21 [6982]~P114(x69821)+E(f328(f328(f84(x69821),f328(f328(f248(x69821),x69822),x69823)),f328(f328(f248(x69821),x69824),x69823)),f328(f328(f248(x69821),f328(f328(f84(x69821),x69822),x69824)),x69823))
% 28.33/28.21 [6983]~P78(x69831)+E(f328(f328(f84(x69831),f328(f328(f248(x69831),x69832),x69833)),f328(f328(f248(x69831),x69834),x69833)),f328(f328(f248(x69831),f328(f328(f84(x69831),x69832),x69834)),x69833))
% 28.33/28.21 [6984]~P69(x69841)+E(f328(f328(f291(x69841),f328(f328(f248(x69841),x69842),x69843)),f328(f328(f248(x69841),x69844),x69843)),f328(f328(f248(x69841),f328(f328(f291(x69841),x69842),x69844)),x69843))
% 28.33/28.21 [6985]~P121(x69851)+E(f328(f328(f83(x69851),f328(f328(f291(x69851),x69852),x69853)),f328(f328(f291(x69851),x69854),x69853)),f328(f328(f291(x69851),f328(f328(f83(x69851),x69852),x69854)),x69853))
% 28.33/28.21 [6986]~P121(x69861)+E(f328(f328(f3(x69861),f328(f328(f291(x69861),x69862),x69863)),f328(f328(f291(x69861),x69864),x69863)),f328(f328(f291(x69861),f328(f328(f3(x69861),x69862),x69864)),x69863))
% 28.33/28.21 [6987]~P109(x69871)+E(f328(f328(f238(x69871),f328(f328(f243(x69871),x69872),x69873)),f328(f328(f243(x69871),x69874),x69873)),f328(f328(f243(x69871),f328(f328(f238(x69871),x69872),x69874)),x69873))
% 28.33/28.21 [6988]~P109(x69881)+E(f328(f328(f243(x69881),f328(f328(f238(x69881),x69882),x69883)),f328(f328(f238(x69881),x69884),x69883)),f328(f328(f238(x69881),f328(f328(f243(x69881),x69882),x69884)),x69883))
% 28.33/28.21 [6989]~P102(x69891)+E(f328(f328(f106(x69891),f328(f328(f105(x69891),x69892),x69893)),f328(f328(f105(x69891),x69894),x69893)),f328(f328(f105(x69891),f328(f328(f106(x69891),x69892),x69894)),x69893))
% 28.33/28.21 [6990]~P102(x69901)+E(f328(f328(f105(x69901),f328(f328(f106(x69901),x69902),x69903)),f328(f328(f106(x69901),x69904),x69903)),f328(f328(f106(x69901),f328(f328(f105(x69901),x69902),x69904)),x69903))
% 28.33/28.21 [6991]~P114(x69911)+E(f328(f328(f83(x69911),f328(f328(f84(x69911),x69912),x69913)),f328(f328(f84(x69911),x69914),x69913)),f328(f328(f84(x69911),f328(f328(f83(x69911),x69912),x69914)),x69913))
% 28.33/28.21 [7022]E(f328(f328(f161(x70221,x70222),x70223),x70224),x70222)+~P107(f328(f328(f239(a911),f328(f191(f912(x70221)),x70222)),x70223))
% 28.33/28.21 [7047]~P107(f328(x70473,x70474))+P107(f328(f328(f328(f105(f918(x70471,a905)),x70472),x70473),x70474))
% 28.33/28.21 [7048]~P107(f328(x70483,x70484))+P107(f328(f328(f328(f105(f918(x70481,a905)),x70482),x70483),x70484))
% 28.33/28.21 [7049]~P107(f328(x70492,x70494))+P107(f328(f328(f328(f105(f918(x70491,a905)),x70492),x70493),x70494))
% 28.33/28.21 [7050]~P107(f328(x70502,x70504))+P107(f328(f328(f328(f105(f918(x70501,a905)),x70502),x70503),x70504))
% 28.33/28.21 [7070]E(f328(f328(f166(x70701),f328(f328(f136(x70701),x70702),x70703)),x70704),f328(f328(f166(x70701),x70702),x70704))+~P107(f328(f328(f240(a911),x70704),f328(f191(f912(x70701)),x70702)))
% 28.33/28.21 [7079]E(f328(f328(f3(f918(x70791,a905)),f328(f328(f310(x70791),x70792),x70793)),x70794),f328(f328(f3(f918(x70791,a905)),x70793),x70794))+~P107(f328(f328(f330(x70791),x70792),x70794))
% 28.33/28.21 [7080]E(f328(f328(f3(f918(x70801,a905)),f328(f328(f310(x70801),x70802),x70803)),x70804),f328(f328(f3(f918(x70801,a905)),x70803),x70804))+~P107(f328(f328(f330(x70801),x70802),x70804))
% 28.33/28.21 [7121]~E(f141(a911,f328(f303(a911,x71211),x71212)),f328(f328(f153(a911),x71214),x71213))+E(f141(a911,f328(f303(a911,f328(f328(f83(a911),x71211),f81(a911))),x71212)),x71213)
% 28.33/28.21 [7142]~P107(f328(f328(f174(x71421),x71423),x71424))+P107(f328(f328(f174(x71421),f328(f328(f153(x71421),x71422),x71423)),x71424))
% 28.33/28.21 [7191]E(x71911,f2(a911))+E(f328(f328(f153(x71912),x71913),f328(f328(f177(x71912),f328(f328(f3(a911),x71911),f81(a911))),x71914)),f328(f328(f177(x71912),x71911),f328(f328(f153(x71912),x71913),x71914)))
% 28.33/28.21 [7290]E(f328(f328(f166(x72901),x72902),f328(f328(f3(a911),x72903),f328(f191(f912(x72901)),x72904))),f328(f328(f166(x72901),f328(f328(f136(x72901),x72904),x72902)),x72903))+P107(f328(f328(f240(a911),x72903),f328(f191(f912(x72901)),x72904)))
% 28.33/28.21 [7319]E(f328(f328(f106(f918(x73191,a905)),x73192),f328(f328(f310(x73191),x73193),x73194)),f328(f328(f310(x73191),x73193),f328(f328(f106(f918(x73191,a905)),x73192),x73194)))+~P107(f328(f328(f330(x73191),x73193),x73192))
% 28.33/28.21 [7320]E(f328(f328(f106(f918(x73201,a905)),x73202),f328(f328(f310(x73201),x73203),x73204)),f328(f328(f310(x73201),x73203),f328(f328(f106(f918(x73201,a905)),x73202),x73204)))+~P107(f328(f328(f330(x73201),x73203),x73202))
% 28.33/28.21 [7358]E(f328(f328(f166(x73581),f328(f328(f161(x73581,x73582),x73583),x73584)),x73583),x73584)+~P107(f328(f328(f240(a911),x73583),f328(f191(f912(x73581)),x73582)))
% 28.33/28.21 [7380]E(x73801,f190(f918(x73802,a905)))+E(f328(f311(f917(x73803,x73802),x73803,f255(x73803,x73802)),f328(f328(f258(x73803,x73802),x73804),f328(f18(f918(x73802,a905),x73803),x73801))),x73804)
% 28.33/28.21 [7381]E(x73811,f190(f918(x73812,a905)))+E(f328(f311(f917(x73812,x73813),x73813,f260(x73812,x73813)),f328(f328(f258(x73812,x73813),x73811),f328(f18(f918(x73813,a905),x73812),x73814))),x73814)
% 28.33/28.21 [7460]E(f328(f328(f3(f918(x74601,a905)),f328(f328(f310(x74601),x74602),x74603)),x74604),f328(f328(f310(x74601),x74602),f328(f328(f3(f918(x74601,a905)),x74603),x74604)))+P107(f328(f328(f330(x74601),x74602),x74604))
% 28.33/28.21 [7497]~E(x74974,f190(f918(x74972,a905)))+E(f328(f311(f917(x74971,x74972),x74971,f255(x74971,x74972)),f328(f328(f258(x74971,x74972),x74973),f328(f18(f918(x74972,a905),x74971),x74974))),f190(f918(x74971,a905)))
% 28.33/28.21 [7498]~E(x74983,f190(f918(x74981,a905)))+E(f328(f311(f917(x74981,x74982),x74982,f260(x74981,x74982)),f328(f328(f258(x74981,x74982),x74983),f328(f18(f918(x74982,a905),x74981),x74984))),f190(f918(x74982,a905)))
% 28.33/28.21 [7550]~P107(f328(f328(f330(x75501),x75502),x75504))+P107(f328(f328(f330(x75501),x75502),f328(f328(f105(f918(x75501,a905)),x75503),x75504)))
% 28.33/28.21 [7551]~P107(f328(f328(f330(x75511),x75512),x75514))+P107(f328(f328(f330(x75511),x75512),f328(f328(f105(f918(x75511,a905)),x75513),x75514)))
% 28.33/28.21 [7552]~P107(f328(f328(f330(x75521),x75522),x75524))+P107(f328(f328(f330(x75521),x75522),f328(f328(f105(f918(x75521,a905)),x75523),x75524)))
% 28.33/28.21 [7553]~P107(f328(f328(f330(x75531),x75532),x75533))+P107(f328(f328(f330(x75531),x75532),f328(f328(f105(f918(x75531,a905)),x75533),x75534)))
% 28.33/28.21 [7554]~P107(f328(f328(f330(x75541),x75542),x75543))+P107(f328(f328(f330(x75541),x75542),f328(f328(f105(f918(x75541,a905)),x75543),x75544)))
% 28.33/28.21 [7555]~P107(f328(f328(f330(x75551),x75552),x75553))+P107(f328(f328(f330(x75551),x75552),f328(f328(f105(f918(x75551,a905)),x75553),x75554)))
% 28.33/28.21 [7575]E(f328(f328(f106(f918(x75751,a905)),f328(f328(f310(x75751),x75752),x75753)),x75754),f328(f328(f310(x75751),x75752),f328(f328(f106(f918(x75751,a905)),x75753),x75754)))+~P107(f328(f328(f330(x75751),x75752),x75754))
% 28.33/28.21 [7576]E(f328(f328(f106(f918(x75761,a905)),f328(f328(f310(x75761),x75762),x75763)),x75764),f328(f328(f310(x75761),x75762),f328(f328(f106(f918(x75761,a905)),x75763),x75764)))+~P107(f328(f328(f330(x75761),x75762),x75764))
% 28.33/28.21 [7846]P107(f328(x78461,x78462))+~P107(f328(f328(f328(f106(f918(x78463,a905)),x78464),x78461),x78462))
% 28.33/28.21 [7847]P107(f328(x78471,x78472))+~P107(f328(f328(f328(f106(f918(x78473,a905)),x78471),x78474),x78472))
% 28.33/28.21 [7848]P107(f328(x78481,x78482))+~P107(f328(f328(f328(f106(f918(x78483,a905)),x78484),x78481),x78482))
% 28.33/28.21 [7849]P107(f328(x78491,x78492))+~P107(f328(f328(f328(f106(f918(x78493,a905)),x78491),x78494),x78492))
% 28.33/28.21 [7850]E(f328(f328(f8(x78501,a911),x78502),f328(f328(f3(f918(x78501,a905)),x78503),f328(f328(f310(x78501),x78504),f190(f918(x78501,a905))))),f328(f328(f8(x78501,a911),x78502),x78503))+P107(f328(f328(f330(x78501),x78504),x78503))
% 28.33/28.21 [7856]~P76(x78561)+E(f328(f167(x78561),f328(f328(f156(a911,x78561),x78562),f141(a911,f328(f303(a911,x78563),x78564)))),f328(f328(f8(a911,x78561),x78562),f328(f174(a911),f141(a911,f328(f303(a911,x78563),x78564)))))
% 28.33/28.21 [7857]~P76(x78571)+E(f328(f328(f8(a911,x78571),x78572),f328(f174(a911),f141(a911,f328(f303(a911,x78573),x78574)))),f328(f167(x78571),f328(f328(f156(a911,x78571),x78572),f141(a911,f328(f303(a911,x78573),x78574)))))
% 28.33/28.21 [7975]~E(x79753,x79754)+P107(f328(f65(x79751,x79752,f328(f328(f310(x79751),x79753),f190(f918(x79751,a905)))),x79754))
% 28.33/28.21 [8072]P107(f328(f328(f330(x80721),x80722),f328(f174(x80721),x80723)))+~P107(f328(f328(f330(x80721),x80722),f328(f174(x80721),f328(f328(f177(x80721),x80724),x80723))))
% 28.33/28.21 [8073]P107(f328(f328(f330(x80731),x80732),f328(f174(x80731),x80733)))+~P107(f328(f328(f330(x80731),x80732),f328(f174(x80731),f328(f328(f140(x80731),x80734),x80733))))
% 28.33/28.21 [8145]P107(f328(f328(f330(x81451),x81452),x81453))+~P107(f328(f328(f330(x81451),x81452),f328(f328(f106(f918(x81451,a905)),x81454),x81453)))
% 28.33/28.21 [8146]P107(f328(f328(f330(x81461),x81462),x81463))+~P107(f328(f328(f330(x81461),x81462),f328(f328(f3(f918(x81461,a905)),x81463),x81464)))
% 28.33/28.21 [8147]P107(f328(f328(f330(x81471),x81472),x81473))+~P107(f328(f328(f330(x81471),x81472),f328(f328(f3(f918(x81471,a905)),x81473),x81474)))
% 28.33/28.21 [8148]P107(f328(f328(f330(x81481),x81482),x81483))+~P107(f328(f328(f330(x81481),x81482),f328(f328(f3(f918(x81481,a905)),x81483),x81484)))
% 28.33/28.21 [8149]P107(f328(f328(f330(x81491),x81492),x81493))+~P107(f328(f328(f330(x81491),x81492),f328(f328(f106(f918(x81491,a905)),x81494),x81493)))
% 28.33/28.21 [8150]P107(f328(f328(f330(x81501),x81502),x81503))+~P107(f328(f328(f330(x81501),x81502),f328(f328(f106(f918(x81501,a905)),x81504),x81503)))
% 28.33/28.21 [8151]P107(f328(f328(f330(x81511),x81512),x81513))+~P107(f328(f328(f330(x81511),x81512),f328(f328(f106(f918(x81511,a905)),x81513),x81514)))
% 28.33/28.21 [8152]P107(f328(f328(f330(x81521),x81522),x81523))+~P107(f328(f328(f330(x81521),x81522),f328(f328(f106(f918(x81521,a905)),x81523),x81524)))
% 28.33/28.21 [8153]P107(f328(f328(f330(x81531),x81532),x81533))+~P107(f328(f328(f330(x81531),x81532),f328(f328(f106(f918(x81531,a905)),x81533),x81534)))
% 28.33/28.21 [8171]E(f328(f328(f136(x81711),f328(f328(f177(x81711),x81712),x81713)),f328(f328(f153(x81711),x81714),f328(f328(f140(x81711),f328(a116,x81712)),x81713))),f328(f328(f161(x81711,x81713),x81712),x81714))+~P107(f328(f328(f240(a911),x81712),f328(f191(f912(x81711)),x81713)))
% 28.33/28.21 [8196]P107(f328(f328(f330(x81961),x81962),x81963))+~P107(f328(f328(f239(f918(x81961,a905)),f328(f328(f310(x81961),x81962),x81964)),x81963))
% 28.33/28.21 [8232]~P107(f328(f328(f330(x82321),x82322),x82323))+~P107(f328(f328(f330(x82321),x82322),f328(f328(f3(f918(x82321,a905)),x82324),x82323)))
% 28.33/28.21 [8233]~P107(f328(f328(f330(x82331),x82332),x82333))+~P107(f328(f328(f330(x82331),x82332),f328(f328(f3(f918(x82331,a905)),x82334),x82333)))
% 28.33/28.21 [8234]~P107(f328(f328(f330(x82341),x82342),x82343))+~P107(f328(f328(f330(x82341),x82342),f328(f328(f3(f918(x82341,a905)),x82344),x82343)))
% 28.33/28.21 [8267]~P107(f328(f328(f240(a911),x82674),f328(f191(f912(x82671)),x82673)))+P107(f328(f328(f330(x82671),x82672),f328(f174(x82671),f328(f328(f161(x82671,x82673),x82674),x82672))))
% 28.33/28.21 [8308]E(f328(f108(a911),x83081),f2(a911))+E(f328(f328(f153(x83082),x83083),f328(f328(f177(x83082),f328(f328(f3(a911),f328(f108(a911),x83081)),f81(a911))),x83084)),f328(f328(f177(x83082),f328(f108(a911),x83081)),f328(f328(f153(x83082),x83083),x83084)))
% 28.33/28.21 [8317]E(f328(f328(f166(x83171),f328(f328(f140(x83171),x83172),x83173)),x83174),f328(f328(f166(x83171),x83173),f328(f328(f83(a911),x83172),x83174)))+~P107(f328(f328(f239(a911),f328(f328(f83(a911),x83172),x83174)),f328(f191(f912(x83171)),x83173)))
% 28.33/28.21 [8326]~P108(x83262)+E(f328(f328(f8(x83261,x83262),f328(f328(f10(a911,x83262,x83261),f104(x83262)),x83263)),x83264),f328(f104(x83262),f328(f328(f8(x83261,a911),x83263),x83264)))
% 28.33/28.21 [8327]~P140(x83272)+E(f328(f328(f8(x83271,x83272),f328(f328(f10(a1,x83272,x83271),f107(x83272)),x83273)),x83274),f328(f107(x83272),f328(f328(f8(x83271,a1),x83273),x83274)))
% 28.33/28.21 [8378]~P72(x83782)+E(f328(f328(f11(x83781,x83782),f328(f328(f10(x83782,x83782,x83781),f79(x83782)),x83783)),x83784),f328(f79(x83782),f328(f328(f11(x83781,x83782),x83783),x83784)))
% 28.33/28.21 [8379]~P7(x83792)+E(f328(f328(f8(x83791,x83792),f328(f328(f10(x83792,x83792,x83791),f82(x83792)),x83793)),x83794),f328(f82(x83792),f328(f328(f8(x83791,x83792),x83793),x83794)))
% 28.33/28.21 [8381]E(f328(f328(f8(x83811,a911),x83812),f328(f328(f3(f918(x83811,a905)),x83813),f328(f328(f310(x83811),x83814),f190(f918(x83811,a905))))),f328(f328(f3(a911),f328(f328(f8(x83811,a911),x83812),x83813)),f328(x83812,x83814)))+~P107(f328(f328(f330(x83811),x83814),x83813))
% 28.33/28.21 [8400]P107(f328(f328(f239(f918(x84001,a905)),x84002),x84003))+~P107(f328(f328(f239(f918(x84001,a905)),f328(f328(f310(x84001),x84004),x84002)),x84003))
% 28.33/28.21 [8522]~E(f328(f311(x85222,x85223,x85221),f246(f918(x85222,a905))),f246(f918(x85223,a905)))+E(f328(x85221,f328(f95(x85222,x85223,f246(f918(x85222,a905)),x85221),x85224)),x85224)
% 28.33/28.21 [8523]~E(f328(f311(x85232,x85233,x85231),f246(f918(x85232,a905))),f246(f918(x85233,a905)))+E(f328(x85231,f328(f95(x85232,x85233,f246(f918(x85232,a905)),x85231),x85234)),x85234)
% 28.33/28.21 [8611]P43(x86111,x86112)+~P43(x86111,f328(f328(f310(f917(x86111,x86111)),f328(f328(f256(x86111,x86111),x86113),x86114)),x86112))
% 28.33/28.21 [8612]P64(x86121,x86122)+~P64(x86121,f328(f328(f310(f917(x86121,x86121)),f328(f328(f256(x86121,x86121),x86123),x86124)),x86122))
% 28.33/28.21 [8620]~P109(x86201)+E(f328(f328(f150(x86201,x86201,f7(x86201)),x86202),f328(f328(f150(x86201,x86201,f7(x86201)),x86203),x86204)),f328(f328(f150(x86201,x86201,f7(x86201)),x86203),f328(f328(f150(x86201,x86201,f7(x86201)),x86202),x86204)))
% 28.33/28.21 [8635]E(x86351,x86352)+~P107(f328(f65(x86353,x86354,f328(f328(f310(x86353),x86351),f190(f918(x86353,a905)))),x86352))
% 28.33/28.21 [8644]E(f328(f328(f136(x86441),f328(f328(f177(x86441),x86442),x86443)),f328(f328(f177(x86441),x86444),f328(f328(f140(x86441),x86442),x86443))),f328(f328(f177(x86441),f328(f328(f83(a911),x86442),x86444)),x86443))+~P107(f328(f328(f239(a911),f328(f328(f83(a911),x86442),x86444)),f328(f191(f912(x86441)),x86443)))
% 28.33/28.21 [8684]P107(f328(f64(x86841),x86842))+~E(x86842,f328(f311(a911,x86841,x86843),f328(f266(a911),f328(f328(f9(a911,a911,a905),f240(a911)),x86844))))
% 28.33/28.21 [8685]P107(f328(f64(x86851),x86852))+~E(x86852,f328(f311(a911,x86851,x86853),f328(f266(a911),f328(f328(f9(a911,a911,a905),f240(a911)),x86854))))
% 28.33/28.21 [8705]~P90(x87051)+E(f328(f144(x87051,x87051,f83(x87051),f328(f328(f83(x87051),x87052),x87053)),x87054),f328(f328(f83(x87051),x87052),f328(f144(x87051,x87051,f83(x87051),x87053),x87054)))
% 28.33/28.21 [8739]P107(f328(f328(f239(f918(x87391,a905)),f328(f268(x87391,x87392),x87393)),f328(f268(x87391,x87392),x87394)))+~P107(f328(f328(f239(f918(f917(x87391,x87392),a905)),x87393),x87394))
% 28.33/28.21 [8751]~P107(f328(f328(f239(a911),x87512),x87514))+P107(f328(f328(f239(f918(x87511,a905)),f328(f174(x87511),f328(f328(f177(x87511),x87512),x87513))),f328(f174(x87511),f328(f328(f177(x87511),x87514),x87513))))
% 28.33/28.21 [8752]~P107(f328(f328(f239(a911),x87524),x87522))+P107(f328(f328(f239(f918(x87521,a905)),f328(f174(x87521),f328(f328(f140(x87521),x87522),x87523))),f328(f174(x87521),f328(f328(f140(x87521),x87524),x87523))))
% 28.33/28.21 [8808]~P107(f328(f64(x88081),f328(f328(f3(f918(x88081,a905)),x88082),x88084)))+P107(f328(f64(x88081),f328(f328(f3(f918(x88081,a905)),x88082),f328(f328(f310(x88081),x88083),x88084))))
% 28.33/28.21 [8846]P107(f328(f328(f330(f917(x88461,x88461)),x88462),f308(x88461,x88463)))+~P107(f328(f328(f330(f917(x88461,x88461)),x88462),f328(f328(f185(f917(x88461,x88461),a905),x88464),x88463)))
% 28.33/28.21 [8847]P107(f328(f328(f330(f917(x88471,x88471)),x88472),f308(x88471,x88473)))+~P107(f328(f328(f330(f917(x88471,x88471)),x88472),f328(f328(f185(f917(x88471,x88471),a905),x88474),x88473)))
% 28.33/28.21 [8928]~P107(f328(f64(x89281),f328(f328(f3(f918(x89281,a905)),x89282),f328(f328(f310(x89281),x89284),x89283))))+P107(f328(f64(x89281),f328(f328(f3(f918(x89281,a905)),x89282),x89283)))
% 28.33/28.21 [9000]P107(f328(f328(f330(f917(x90001,x90002)),f328(f328(f256(x90001,x90002),x90003),x90004)),f190(f918(f917(x90001,x90002),a905))))+~P107(f328(f328(f190(f918(x90001,f918(x90002,a905))),x90003),x90004))
% 28.33/28.21 [9136]~P109(x91361)+P107(f328(f328(f239(x91361),f328(f328(f238(x91361),x91362),f328(f328(f243(x91361),x91363),x91364))),f328(f328(f243(x91361),f328(f328(f238(x91361),x91362),x91363)),f328(f328(f238(x91361),x91362),x91364))))
% 28.33/28.21 [9137]~P101(x91371)+P107(f328(f328(f239(x91371),f328(f328(f105(x91371),x91372),f328(f328(f106(x91371),x91373),x91374))),f328(f328(f106(x91371),f328(f328(f105(x91371),x91372),x91373)),f328(f328(f105(x91371),x91372),x91374))))
% 28.33/28.21 [9155]~P107(f328(f328(f330(f917(x91551,x91552)),f328(f328(f256(x91551,x91552),x91553),x91554)),f190(f918(f917(x91551,x91552),a905))))+P107(f328(f328(f190(f918(x91551,f918(x91552,a905))),x91553),x91554))
% 28.33/28.21 [9292]E(x92921,x92922)+~P107(f328(f328(f330(f917(x92923,x92923)),f328(f328(f256(x92923,x92923),x92921),x92922)),f328(f174(f917(x92923,x92923)),f328(f328(f183(x92923,x92923),x92924),x92924))))
% 28.33/28.21 [9323]~P107(f328(f328(f330(f917(x93231,x93231)),f328(f328(f256(x93231,x93231),x93233),x93232)),f308(x93231,x93234)))+~P43(x93231,f328(f328(f310(f917(x93231,x93231)),f328(f328(f256(x93231,x93231),x93232),x93233)),x93234))
% 28.33/28.21 [9324]~P107(f328(f328(f330(f917(x93241,x93241)),f328(f328(f256(x93241,x93241),x93243),x93242)),f308(x93241,x93244)))+~P64(x93241,f328(f328(f310(f917(x93241,x93241)),f328(f328(f256(x93241,x93241),x93242),x93243)),x93244))
% 28.33/28.21 [9328]E(x93281,x93282)+E(f328(f138(x93283,f328(f328(f10(a905,a905,x93283),a323),f328(a325,x93281))),f328(f328(f153(x93283),x93282),x93284)),f328(f328(f153(x93283),x93282),f328(f138(x93283,f328(f328(f10(a905,a905,x93283),a323),f328(a325,x93281))),x93284)))
% 28.33/28.21 [9337]P107(f328(f328(f330(x93371),x93372),f328(f174(x93371),x93373)))+~P107(f328(f328(f330(f917(x93371,x93371)),f328(f328(f256(x93371,x93371),x93372),x93374)),f328(f174(f917(x93371,x93371)),f328(f328(f183(x93371,x93371),x93373),x93373))))
% 28.33/28.21 [9370]~P109(x93701)+P107(f328(f328(f239(x93701),f328(f328(f238(x93701),f328(f328(f243(x93701),x93702),x93703)),f328(f328(f243(x93701),x93702),x93704))),f328(f328(f243(x93701),x93702),f328(f328(f238(x93701),x93703),x93704))))
% 28.33/28.21 [9371]~P101(x93711)+P107(f328(f328(f239(x93711),f328(f328(f105(x93711),f328(f328(f106(x93711),x93712),x93713)),f328(f328(f106(x93711),x93712),x93714))),f328(f328(f106(x93711),x93712),f328(f328(f105(x93711),x93713),x93714))))
% 28.33/28.21 [9405]P107(f328(f328(f330(f917(x94051,x94051)),f328(f328(f256(x94051,x94051),x94052),x94053)),f328(f328(f290(x94051,x94051,x94051),x94054),f308(x94051,x94054))))+~P107(f328(f328(f330(f917(x94051,x94051)),f328(f328(f256(x94051,x94051),x94052),x94053)),x94054))
% 28.33/28.21 [9428]~P31(x94282,x94281,x94284,f246(f918(x94282,a905)),f246(f918(x94281,a905)))+E(f328(f266(x94281),f328(f328(f10(x94282,a905,x94281),x94283),f95(x94282,x94281,f246(f918(x94282,a905)),x94284))),f328(f311(x94282,x94281,x94284),f328(f266(x94282),x94283)))
% 28.33/28.21 [9441]~E(f328(f311(x94412,x94411,x94413),f246(f918(x94412,a905))),f246(f918(x94411,a905)))+P107(f328(f328(f239(f918(x94411,a905)),f328(f82(f918(x94411,a905)),f328(f311(x94412,x94411,x94413),x94414))),f328(f311(x94412,x94411,x94413),f328(f82(f918(x94412,a905)),x94414))))
% 28.33/28.21 [9759]P107(f328(f328(f330(f917(x97591,x97591)),f328(f328(f256(x97591,x97591),x97592),x97593)),f328(f288(x97591,x97591),f328(f328(f290(x97591,x97591,x97591),x97594),f308(x97591,x97594)))))+~P107(f328(f328(f330(f917(x97591,x97591)),f328(f328(f256(x97591,x97591),x97592),x97593)),f328(f328(f290(x97591,x97591,x97591),f328(f288(x97591,x97591),x97594)),f308(x97591,f328(f288(x97591,x97591),x97594)))))
% 28.33/28.21 [9760]~P107(f328(f328(f330(f917(x97601,x97601)),f328(f328(f256(x97601,x97601),x97602),x97603)),f328(f288(x97601,x97601),f328(f328(f290(x97601,x97601,x97601),x97604),f308(x97601,x97604)))))+P107(f328(f328(f330(f917(x97601,x97601)),f328(f328(f256(x97601,x97601),x97602),x97603)),f328(f328(f290(x97601,x97601,x97601),f328(f288(x97601,x97601),x97604)),f308(x97601,f328(f288(x97601,x97601),x97604)))))
% 28.33/28.21 [9781]~P107(f328(f328(f330(x97812),x97814),f328(f286(x97811,x97812),x97813)))+P107(f328(f328(f330(f917(x97811,x97812)),f328(f328(f256(x97811,x97812),f560(x97813,x97811,x97814,x97812)),x97814)),x97813))
% 28.33/28.21 [9782]~P107(f328(f328(f330(x97822),x97824),f328(f286(x97821,x97822),x97823)))+P107(f328(f328(f330(f917(x97821,x97822)),f328(f328(f256(x97821,x97822),f564(x97823,x97821,x97824,x97822)),x97824)),x97823))
% 28.33/28.21 [9807]~P107(f328(f328(f330(x98071),x98074),f328(f328(f105(f918(x98071,a905)),x98072),x98073)))+P107(f328(f328(f328(f105(f918(x98071,a905)),f328(f328(f9(x98071,f918(x98071,a905),a905),f330(x98071)),x98072)),f328(f328(f9(x98071,f918(x98071,a905),a905),f330(x98071)),x98073)),x98074))
% 28.33/28.21 [9808]~P107(f328(f328(f330(x98081),x98084),f328(f328(f106(f918(x98081,a905)),x98082),x98083)))+P107(f328(f328(f328(f106(f918(x98081,a905)),f328(f328(f9(x98081,f918(x98081,a905),a905),f330(x98081)),x98082)),f328(f328(f9(x98081,f918(x98081,a905),a905),f330(x98081)),x98083)),x98084))
% 28.33/28.21 [9886]~P107(f328(f328(f330(f917(x98861,x98861)),f328(f328(f256(x98861,x98861),x98864),x98863)),f328(f328(f290(x98861,x98861,x98861),x98862),f308(x98861,x98862))))+P107(f328(f328(f330(f917(x98861,x98861)),f328(f328(f256(x98861,x98861),f731(x98862,x98863,x98864,x98861)),x98863)),x98862))
% 28.33/28.21 [9923]P107(f328(f328(f330(x99231),x99232),f328(f328(f105(f918(x99231,a905)),x99233),x99234)))+~P107(f328(f328(f328(f105(f918(x99231,a905)),f328(f328(f9(x99231,f918(x99231,a905),a905),f330(x99231)),x99233)),f328(f328(f9(x99231,f918(x99231,a905),a905),f330(x99231)),x99234)),x99232))
% 28.33/28.21 [9924]P107(f328(f328(f330(x99241),x99242),f328(f328(f106(f918(x99241,a905)),x99243),x99244)))+~P107(f328(f328(f328(f106(f918(x99241,a905)),f328(f328(f9(x99241,f918(x99241,a905),a905),f330(x99241)),x99243)),f328(f328(f9(x99241,f918(x99241,a905),a905),f330(x99241)),x99244)),x99242))
% 28.33/28.21 [10189]P38(x101891,f328(f328(f9(x101891,f918(f917(x101891,x101891),a905),f918(x101891,a905)),f328(f328(f10(f918(x101891,f918(f918(f917(x101891,x101891),a905),a905)),f918(f918(f917(x101891,x101891),a905),f918(x101891,a905)),x101891),f9(x101891,f918(f917(x101891,x101891),a905),a905)),f328(f328(f10(f918(x101891,f917(x101891,x101891)),f918(x101891,f918(f918(f917(x101891,x101891),a905),a905)),x101891),f328(f10(f917(x101891,x101891),f918(f918(f917(x101891,x101891),a905),a905),x101891),f330(f917(x101891,x101891)))),f256(x101891,x101891)))),x101892),x101893,x101894)+~P107(f328(f328(f330(f917(f912(x101891),f912(x101891))),f328(f328(f256(f912(x101891),f912(x101891)),x101893),x101894)),f160(x101891,x101892)))
% 28.33/28.21 [10193]P65(x101931,f328(f328(f9(x101931,f918(f917(x101931,x101931),a905),f918(x101931,a905)),f328(f328(f10(f918(x101931,f918(f918(f917(x101931,x101931),a905),a905)),f918(f918(f917(x101931,x101931),a905),f918(x101931,a905)),x101931),f9(x101931,f918(f917(x101931,x101931),a905),a905)),f328(f328(f10(f918(x101931,f917(x101931,x101931)),f918(x101931,f918(f918(f917(x101931,x101931),a905),a905)),x101931),f328(f10(f917(x101931,x101931),f918(f918(f917(x101931,x101931),a905),a905),x101931),f330(f917(x101931,x101931)))),f256(x101931,x101931)))),x101932),x101933,x101934)+~P107(f328(f328(f330(f917(f918(x101931,a905),f918(x101931,a905))),f328(f328(f256(f918(x101931,a905),f918(x101931,a905)),x101933),x101934)),f319(x101931,x101932)))
% 28.33/28.21 [10228]E(x102281,x102282)+~E(f328(f328(f9(x102283,f918(f917(x102283,x102284),a905),f918(x102284,a905)),f328(f328(f10(f918(x102284,f918(f918(f917(x102283,x102284),a905),a905)),f918(f918(f917(x102283,x102284),a905),f918(x102284,a905)),x102283),f9(x102284,f918(f917(x102283,x102284),a905),a905)),f328(f328(f10(f918(x102284,f917(x102283,x102284)),f918(x102284,f918(f918(f917(x102283,x102284),a905),a905)),x102283),f328(f10(f917(x102283,x102284),f918(f918(f917(x102283,x102284),a905),a905),x102284),f330(f917(x102283,x102284)))),f256(x102283,x102284)))),x102281),f328(f328(f9(x102283,f918(f917(x102283,x102284),a905),f918(x102284,a905)),f328(f328(f10(f918(x102284,f918(f918(f917(x102283,x102284),a905),a905)),f918(f918(f917(x102283,x102284),a905),f918(x102284,a905)),x102283),f9(x102284,f918(f917(x102283,x102284),a905),a905)),f328(f328(f10(f918(x102284,f917(x102283,x102284)),f918(x102284,f918(f918(f917(x102283,x102284),a905),a905)),x102283),f328(f10(f917(x102283,x102284),f918(f918(f917(x102283,x102284),a905),a905),x102284),f330(f917(x102283,x102284)))),f256(x102283,x102284)))),x102282))
% 28.33/28.21 [10231]~P38(x102311,f328(f328(f9(x102311,f918(f917(x102311,x102311),a905),f918(x102311,a905)),f328(f328(f10(f918(x102311,f918(f918(f917(x102311,x102311),a905),a905)),f918(f918(f917(x102311,x102311),a905),f918(x102311,a905)),x102311),f9(x102311,f918(f917(x102311,x102311),a905),a905)),f328(f328(f10(f918(x102311,f917(x102311,x102311)),f918(x102311,f918(f918(f917(x102311,x102311),a905),a905)),x102311),f328(f10(f917(x102311,x102311),f918(f918(f917(x102311,x102311),a905),a905),x102311),f330(f917(x102311,x102311)))),f256(x102311,x102311)))),x102314),x102312,x102313)+P107(f328(f328(f330(f917(f912(x102311),f912(x102311))),f328(f328(f256(f912(x102311),f912(x102311)),x102312),x102313)),f160(x102311,x102314)))
% 28.33/28.21 [10232]~P65(x102321,f328(f328(f9(x102321,f918(f917(x102321,x102321),a905),f918(x102321,a905)),f328(f328(f10(f918(x102321,f918(f918(f917(x102321,x102321),a905),a905)),f918(f918(f917(x102321,x102321),a905),f918(x102321,a905)),x102321),f9(x102321,f918(f917(x102321,x102321),a905),a905)),f328(f328(f10(f918(x102321,f917(x102321,x102321)),f918(x102321,f918(f918(f917(x102321,x102321),a905),a905)),x102321),f328(f10(f917(x102321,x102321),f918(f918(f917(x102321,x102321),a905),a905),x102321),f330(f917(x102321,x102321)))),f256(x102321,x102321)))),x102324),x102322,x102323)+P107(f328(f328(f330(f917(f918(x102321,a905),f918(x102321,a905))),f328(f328(f256(f918(x102321,a905),f918(x102321,a905)),x102322),x102323)),f319(x102321,x102324)))
% 28.33/28.21 [7626]~P94(x76261)+E(f328(f328(f83(x76261),f328(f108(x76261),x76262)),f328(f328(f83(x76261),f328(f108(x76261),x76263)),x76264)),f328(f328(f83(x76261),f328(f108(x76261),f328(f328(f83(a1),x76262),x76263))),x76264))
% 28.33/28.21 [7627]~P94(x76271)+E(f328(f328(f83(x76271),f328(f108(x76271),x76272)),f328(f328(f3(x76271),f328(f108(x76271),x76273)),x76274)),f328(f328(f3(x76271),f328(f108(x76271),f328(f328(f83(a1),x76272),x76273))),x76274))
% 28.33/28.21 [7628]~P94(x76281)+E(f328(f328(f84(x76281),f328(f108(x76281),x76282)),f328(f328(f84(x76281),f328(f108(x76281),x76283)),x76284)),f328(f328(f84(x76281),f328(f108(x76281),f328(f328(f84(a1),x76282),x76283))),x76284))
% 28.33/28.21 [7668]~P108(x76681)+E(f328(f167(x76681),f328(f328(f156(x76682,x76681),f328(f18(x76681,x76682),x76683)),x76684)),f328(f328(f84(x76681),f328(f104(x76681),f328(f191(f912(x76682)),x76684))),x76683))
% 28.33/28.21 [7905]E(f328(f272(x79051,f328(f328(f153(f917(a103,x79051)),x79052),x79053)),x79054),f328(f260(a103,x79051),x79052))+~P107(f328(f328(f240(a103),x79054),f328(f255(a103,x79051),x79052)))
% 28.33/28.21 [7953]~P94(x79531)+E(f328(f328(f83(x79531),f328(f108(x79531),x79532)),f328(f328(f3(x79531),x79533),f328(f108(x79531),x79534))),f328(f328(f83(x79531),f328(f108(x79531),f328(f328(f83(a1),x79532),f328(f82(a1),x79534)))),x79533))
% 28.33/28.21 [8085]E(f328(f272(x80851,x80852),f328(f328(f3(a103),x80853),f328(f255(a103,x80851),x80854))),f328(f272(x80851,f328(f328(f153(f917(a103,x80851)),x80854),x80852)),x80853))+P107(f328(f328(f240(a103),x80853),f328(f255(a103,x80851),x80854)))
% 28.33/28.21 [8529]~P107(f328(f328(f330(x85291),x85292),f328(f174(x85291),f118(x85291,x85294))))+P107(f328(f328(f330(x85291),x85292),f328(f174(x85291),f118(x85291,f328(f328(f136(x85291),x85293),x85294)))))
% 28.33/28.21 [8530]~P107(f328(f328(f330(x85301),x85302),f328(f174(x85301),f118(x85301,x85303))))+P107(f328(f328(f330(x85301),x85302),f328(f174(x85301),f118(x85301,f328(f328(f136(x85301),x85303),x85304)))))
% 28.33/28.21 [8550]E(f328(f328(f105(f918(x85501,a905)),f328(f328(f106(f918(x85501,a905)),x85502),x85503)),x85504),f328(f328(f106(f918(x85501,a905)),x85502),f328(f328(f105(f918(x85501,a905)),x85503),x85504)))+~P107(f328(f328(f239(f918(x85501,a905)),x85504),x85502))
% 28.33/28.21 [8861]~E(f328(f328(f105(f918(x88611,a905)),f328(f328(f106(f918(x88611,a905)),x88613),x88614)),x88612),f328(f328(f106(f918(x88611,a905)),x88613),f328(f328(f105(f918(x88611,a905)),x88614),x88612)))+P107(f328(f328(f239(f918(x88611,a905)),x88612),x88613))
% 28.33/28.21 [9142]~P107(f328(f328(f239(f918(x91421,a905)),x91422),f328(f328(f105(f918(x91421,a905)),x91423),x91424)))+P107(f328(f328(f239(f918(x91421,a905)),f328(f328(f3(f918(x91421,a905)),x91422),x91423)),x91424))
% 28.33/28.21 [9257]~E(f328(f311(x92571,x92572,x92573),f246(f918(x92571,a905))),f246(f918(x92572,a905)))+E(f328(f311(x92571,x92572,x92573),f328(f311(x92572,x92571,f95(x92571,x92572,f246(f918(x92571,a905)),x92573)),x92574)),x92574)
% 28.33/28.21 [9267]P107(f328(f328(f239(f918(x92671,a905)),x92672),f328(f328(f105(f918(x92671,a905)),x92673),x92674)))+~P107(f328(f328(f239(f918(x92671,a905)),f328(f328(f3(f918(x92671,a905)),x92672),x92673)),x92674))
% 28.33/28.21 [9352]~P86(x93521)+E(f328(f79(x93521),f328(f328(f8(x93522,x93521),f328(f328(f10(x93521,x93521,x93522),f79(x93521)),x93523)),x93524)),f328(f328(f8(x93522,x93521),f328(f328(f10(x93521,x93521,x93522),f79(x93521)),x93523)),x93524))
% 28.33/28.21 [9516]~P86(x95161)+P107(f328(f328(f239(x95161),f2(x95161)),f328(f328(f8(x95162,x95161),f328(f328(f10(x95161,x95161,x95162),f79(x95161)),x95163)),x95164)))
% 28.33/28.21 [9520]~P7(x95201)+E(f328(f167(x95201),f328(f328(f156(x95202,x95201),f328(f76(x95201,x95201,x95202,f82(x95201)),x95203)),x95204)),f328(f82(x95201),f328(f167(x95201),f328(f328(f156(x95202,x95201),x95203),x95204))))
% 28.33/28.21 [9658]~P86(x96581)+P107(f328(f328(f239(x96581),f328(f79(x96581),f328(f328(f8(x96582,x96581),x96583),x96584))),f328(f328(f8(x96582,x96581),f328(f328(f10(x96581,x96581,x96582),f79(x96581)),x96583)),x96584)))
% 28.33/28.21 [9685]~E(f328(f328(f83(a911),x96851),x96854),f328(f328(f83(a911),x96853),x96852))+P107(f328(f328(f330(f917(f917(a911,a911),f917(a911,a911))),f328(f328(f256(f917(a911,a911),f917(a911,a911)),f328(f328(f256(a911,a911),x96851),x96852)),f328(f328(f256(a911,a911),x96853),x96854))),a113))
% 28.33/28.21 [9686]~P107(f328(f328(f240(a911),x96861),x96863))+P107(f328(f328(f330(f917(f917(a911,a911),f917(a911,a911))),f328(f328(f256(f917(a911,a911),f917(a911,a911)),f328(f328(f256(a911,a911),x96861),x96862)),f328(f328(f256(a911,a911),x96863),x96864))),a36))
% 28.33/28.21 [9687]~P107(f328(f328(f240(a911),x96871),x96873))+P107(f328(f328(f330(f917(f917(a911,a911),f917(a911,a911))),f328(f328(f256(f917(a911,a911),f917(a911,a911)),f328(f328(f256(a911,a911),x96871),x96872)),f328(f328(f256(a911,a911),x96873),x96874))),a74))
% 28.33/28.21 [9832]E(f328(f328(f83(a911),x98321),x98322),f328(f328(f83(a911),x98323),x98324))+~P107(f328(f328(f330(f917(f917(a911,a911),f917(a911,a911))),f328(f328(f256(f917(a911,a911),f917(a911,a911)),f328(f328(f256(a911,a911),x98321),x98324)),f328(f328(f256(a911,a911),x98323),x98322))),a113))
% 28.33/28.21 [9861]E(f328(f328(f166(x98611),f328(f328(f140(x98611),f328(f191(f912(x98611)),f179(x98611,x98612,x98613))),x98613)),x98614),f328(f328(f166(x98611),x98613),f328(f328(f83(a911),x98614),f328(f191(f912(x98611)),f179(x98611,x98612,x98613)))))+~P107(f328(f328(f240(a911),x98614),f328(f191(f912(x98611)),f328(f328(f140(x98611),f328(f191(f912(x98611)),f179(x98611,x98612,x98613))),x98613))))
% 28.33/28.21 [9877]~P107(f328(f328(f330(x98772),x98774),f328(f328(f42(x98771,f918(x98772,a905)),f246(f918(x98771,a905))),x98773)))+P107(f328(f328(f328(f42(x98771,f918(x98772,a905)),f246(f918(x98771,a905))),f328(f328(f10(f918(x98772,a905),f918(x98772,a905),x98771),f328(f9(x98772,f918(x98772,a905),a905),f330(x98772))),x98773)),x98774))
% 28.33/28.21 [9878]~P107(f328(f328(f330(x98782),x98784),f328(f328(f43(x98781,f918(x98782,a905)),f246(f918(x98781,a905))),x98783)))+P107(f328(f328(f328(f43(x98781,f918(x98782,a905)),f246(f918(x98781,a905))),f328(f328(f10(f918(x98782,a905),f918(x98782,a905),x98781),f328(f9(x98782,f918(x98782,a905),a905),f330(x98782))),x98783)),x98784))
% 28.33/28.21 [9950]~P107(f328(f52(x99501,x99502),f328(f328(f256(a1,a1),x99504),x99503)))+P107(f328(f52(f328(f82(a1),x99501),x99502),f328(f328(f256(a1,a1),f328(f328(f328(f100(a1),f328(f328(a325,x99503),f2(a1))),f328(f82(a1),x99504)),f328(f328(f3(a1),f328(f82(a1),x99504)),f81(a1)))),f328(f328(f328(f100(a1),f328(f328(a325,x99503),f2(a1))),f2(a1)),f328(f328(f3(a1),x99502),x99503)))))
% 28.33/28.21 [9960]P107(f328(f328(f330(x99601),x99602),f328(f328(f42(x99603,f918(x99601,a905)),f246(f918(x99603,a905))),x99604)))+~P107(f328(f328(f328(f42(x99603,f918(x99601,a905)),f246(f918(x99603,a905))),f328(f328(f10(f918(x99601,a905),f918(x99601,a905),x99603),f328(f9(x99601,f918(x99601,a905),a905),f330(x99601))),x99604)),x99602))
% 28.33/28.21 [9961]P107(f328(f328(f330(x99611),x99612),f328(f328(f43(x99613,f918(x99611,a905)),f246(f918(x99613,a905))),x99614)))+~P107(f328(f328(f328(f43(x99613,f918(x99611,a905)),f246(f918(x99613,a905))),f328(f328(f10(f918(x99611,a905),f918(x99611,a905),x99613),f328(f9(x99611,f918(x99611,a905),a905),f330(x99611))),x99614)),x99612))
% 28.33/28.21 [9973]E(f328(f328(f42(a911,f918(x99731,a905)),f246(f918(a911,a905))),x99732),f328(f328(f42(a911,f918(x99731,a905)),f246(f918(a911,a905))),x99733))+~E(f328(f328(f42(a911,f918(x99731,a905)),f328(f303(a911,f2(a911)),f501(x99732,x99734,x99733,x99731))),x99733),f328(f328(f42(a911,f918(x99731,a905)),f328(f303(a911,f2(a911)),f328(f328(f83(a911),f501(x99732,x99734,x99733,x99731)),x99734))),x99732))
% 28.33/28.21 [10303]~P107(f328(f328(f239(f918(f917(x103031,x103032),a905)),x103033),x103034))+P107(f328(f328(f239(f918(x103031,f918(x103032,a905))),f328(f328(f9(x103031,f918(f917(x103031,x103032),a905),f918(x103032,a905)),f328(f328(f10(f918(x103032,f918(f918(f917(x103031,x103032),a905),a905)),f918(f918(f917(x103031,x103032),a905),f918(x103032,a905)),x103031),f9(x103032,f918(f917(x103031,x103032),a905),a905)),f328(f328(f10(f918(x103032,f917(x103031,x103032)),f918(x103032,f918(f918(f917(x103031,x103032),a905),a905)),x103031),f328(f10(f917(x103031,x103032),f918(f918(f917(x103031,x103032),a905),a905),x103032),f330(f917(x103031,x103032)))),f256(x103031,x103032)))),x103033)),f328(f328(f9(x103031,f918(f917(x103031,x103032),a905),f918(x103032,a905)),f328(f328(f10(f918(x103032,f918(f918(f917(x103031,x103032),a905),a905)),f918(f918(f917(x103031,x103032),a905),f918(x103032,a905)),x103031),f9(x103032,f918(f917(x103031,x103032),a905),a905)),f328(f328(f10(f918(x103032,f917(x103031,x103032)),f918(x103032,f918(f918(f917(x103031,x103032),a905),a905)),x103031),f328(f10(f917(x103031,x103032),f918(f918(f917(x103031,x103032),a905),a905),x103032),f330(f917(x103031,x103032)))),f256(x103031,x103032)))),x103034)))
% 28.33/28.21 [10320]P107(f328(f328(f239(f918(f917(x103201,x103202),a905)),x103203),x103204))+~P107(f328(f328(f239(f918(x103201,f918(x103202,a905))),f328(f328(f9(x103201,f918(f917(x103201,x103202),a905),f918(x103202,a905)),f328(f328(f10(f918(x103202,f918(f918(f917(x103201,x103202),a905),a905)),f918(f918(f917(x103201,x103202),a905),f918(x103202,a905)),x103201),f9(x103202,f918(f917(x103201,x103202),a905),a905)),f328(f328(f10(f918(x103202,f917(x103201,x103202)),f918(x103202,f918(f918(f917(x103201,x103202),a905),a905)),x103201),f328(f10(f917(x103201,x103202),f918(f918(f917(x103201,x103202),a905),a905),x103202),f330(f917(x103201,x103202)))),f256(x103201,x103202)))),x103203)),f328(f328(f9(x103201,f918(f917(x103201,x103202),a905),f918(x103202,a905)),f328(f328(f10(f918(x103202,f918(f918(f917(x103201,x103202),a905),a905)),f918(f918(f917(x103201,x103202),a905),f918(x103202,a905)),x103201),f9(x103202,f918(f917(x103201,x103202),a905),a905)),f328(f328(f10(f918(x103202,f917(x103201,x103202)),f918(x103202,f918(f918(f917(x103201,x103202),a905),a905)),x103201),f328(f10(f917(x103201,x103202),f918(f918(f917(x103201,x103202),a905),a905),x103202),f330(f917(x103201,x103202)))),f256(x103201,x103202)))),x103204)))
% 28.33/28.21 [9395]~P107(f328(f328(f330(f917(x93951,x93951)),x93952),f308(x93951,x93954)))+P107(f328(f328(f330(f917(x93951,x93951)),x93952),f308(x93951,f328(f328(f105(f918(f917(x93951,x93951),a905)),x93953),x93954))))
% 28.33/28.21 [9396]~P107(f328(f328(f330(f917(x93961,x93961)),x93962),f308(x93961,x93963)))+P107(f328(f328(f330(f917(x93961,x93961)),x93962),f308(x93961,f328(f328(f105(f918(f917(x93961,x93961),a905)),x93963),x93964))))
% 28.33/28.21 [10057]~P107(f328(f328(f240(a911),f328(f328(f83(a911),x100571),x100574)),f328(f328(f83(a911),x100573),x100572)))+P107(f328(f328(f240(a1),f328(a92,f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),f328(f328(f256(a911,a911),x100571),x100572)),f190(f918(f917(a911,a911),a905)))))),f328(a92,f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),f328(f328(f256(a911,a911),x100573),x100574)),f190(f918(f917(a911,a911),a905)))))))
% 28.33/28.21 [10058]~P107(f328(f328(f239(a911),f328(f328(f83(a911),x100581),x100584)),f328(f328(f83(a911),x100583),x100582)))+P107(f328(f328(f239(a1),f328(a92,f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),f328(f328(f256(a911,a911),x100581),x100582)),f190(f918(f917(a911,a911),a905)))))),f328(a92,f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),f328(f328(f256(a911,a911),x100583),x100584)),f190(f918(f917(a911,a911),a905)))))))
% 28.33/28.21 [10134]P107(f328(f328(f240(a911),f328(f328(f83(a911),x101341),x101342)),f328(f328(f83(a911),x101343),x101344)))+~P107(f328(f328(f240(a1),f328(a92,f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),f328(f328(f256(a911,a911),x101341),x101344)),f190(f918(f917(a911,a911),a905)))))),f328(a92,f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),f328(f328(f256(a911,a911),x101343),x101342)),f190(f918(f917(a911,a911),a905)))))))
% 28.33/28.21 [10135]P107(f328(f328(f239(a911),f328(f328(f83(a911),x101351),x101352)),f328(f328(f83(a911),x101353),x101354)))+~P107(f328(f328(f239(a1),f328(a92,f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),f328(f328(f256(a911,a911),x101351),x101354)),f190(f918(f917(a911,a911),a905)))))),f328(a92,f328(f287(f917(a911,a911),f917(a911,a911),a113),f328(f328(f310(f917(a911,a911)),f328(f328(f256(a911,a911),x101353),x101352)),f190(f918(f917(a911,a911),a905)))))))
% 28.33/28.21 [10175]P107(f328(f328(f239(f918(x101751,a905)),f328(f328(f42(a911,f918(x101751,a905)),f246(f918(a911,a905))),x101752)),f328(f328(f42(a911,f918(x101751,a905)),f246(f918(a911,a905))),x101753)))+~P107(f328(f328(f239(f918(x101751,a905)),f328(f328(f42(a911,f918(x101751,a905)),f328(f303(a911,f2(a911)),f502(x101753,x101754,x101752,x101751))),x101752)),f328(f328(f42(a911,f918(x101751,a905)),f328(f303(a911,f2(a911)),f328(f328(f83(a911),f502(x101753,x101754,x101752,x101751)),x101754))),x101753)))
% 28.33/28.21 [10235]P107(f328(f328(f239(a103),x102354),f2(a103)))+E(f328(f328(f263(f917(a103,a103),f917(x102351,f918(a914,a324)),f917(a103,a103),f917(f918(a103,f918(a905,f915(f913(x102351)))),f917(a103,a103))),f328(x102352,x102353)),f328(f328(f10(f918(f918(a103,f918(a905,f915(f913(x102351)))),f918(f917(a103,a103),f917(f918(a103,f918(a905,f915(f913(x102351)))),f917(a103,a103)))),f918(f917(a103,a103),f917(f918(a103,f918(a905,f915(f913(x102351)))),f917(a103,a103))),f917(x102351,f918(a914,a324))),f328(f263(f917(a103,a103),f918(a103,f918(a905,f915(f913(x102351)))),f917(a103,a103),f917(f918(a103,f918(a905,f915(f913(x102351)))),f917(a103,a103))),f279(x102351,x102352,f328(f328(f3(a103),x102354),f81(a103)),x102353))),f328(f328(f10(f918(f918(a103,f918(a905,f915(f913(x102351)))),f918(a103,f918(a905,f915(f913(x102351))))),f918(f918(a103,f918(a905,f915(f913(x102351)))),f918(f917(a103,a103),f917(f918(a103,f918(a905,f915(f913(x102351)))),f917(a103,a103)))),f917(x102351,f918(a914,a324))),f328(f10(f918(a103,f918(a905,f915(f913(x102351)))),f918(f917(a103,a103),f917(f918(a103,f918(a905,f915(f913(x102351)))),f917(a103,a103))),f918(a103,f918(a905,f915(f913(x102351))))),f256(f918(a103,f918(a905,f915(f913(x102351)))),f917(a103,a103)))),f328(f328(f10(f918(a103,f918(a905,f915(f913(x102351)))),f918(f918(a103,f918(a905,f915(f913(x102351)))),f918(a103,f918(a905,f915(f913(x102351))))),f917(x102351,f918(a914,a324))),f47(x102351)),f328(f328(f10(x102351,f918(a103,f918(a905,f915(f913(x102351)))),f917(x102351,f918(a914,a324))),f45(x102351)),f255(x102351,f918(a914,a324))))))),f279(x102351,x102352,x102354,x102353))
% 28.33/28.21 [10292]~P107(f328(f328(f330(x102922),x102924),f328(f286(x102921,x102922),x102923)))+P107(f328(f254(x102921,x102922,f328(f328(f9(x102921,f918(f917(x102921,x102922),a905),f918(x102922,a905)),f328(f328(f10(f918(x102922,f918(f918(f917(x102921,x102922),a905),a905)),f918(f918(f917(x102921,x102922),a905),f918(x102922,a905)),x102921),f9(x102922,f918(f917(x102921,x102922),a905),a905)),f328(f328(f10(f918(x102922,f917(x102921,x102922)),f918(x102922,f918(f918(f917(x102921,x102922),a905),a905)),x102921),f328(f10(f917(x102921,x102922),f918(f918(f917(x102921,x102922),a905),a905),x102922),f330(f917(x102921,x102922)))),f256(x102921,x102922)))),x102923)),x102924))
% 28.33/28.21 [10293]~P107(f328(f328(f330(x102931),x102934),f328(f268(x102931,x102932),x102933)))+P107(f328(f253(x102931,x102932,f328(f328(f9(x102931,f918(f917(x102931,x102932),a905),f918(x102932,a905)),f328(f328(f10(f918(x102932,f918(f918(f917(x102931,x102932),a905),a905)),f918(f918(f917(x102931,x102932),a905),f918(x102932,a905)),x102931),f9(x102932,f918(f917(x102931,x102932),a905),a905)),f328(f328(f10(f918(x102932,f917(x102931,x102932)),f918(x102932,f918(f918(f917(x102931,x102932),a905),a905)),x102931),f328(f10(f917(x102931,x102932),f918(f918(f917(x102931,x102932),a905),a905),x102932),f330(f917(x102931,x102932)))),f256(x102931,x102932)))),x102933)),x102934))
% 28.33/28.21 [10306]P107(f328(f328(f330(x103061),x103062),f328(f286(x103063,x103061),x103064)))+~P107(f328(f254(x103063,x103061,f328(f328(f9(x103063,f918(f917(x103063,x103061),a905),f918(x103061,a905)),f328(f328(f10(f918(x103061,f918(f918(f917(x103063,x103061),a905),a905)),f918(f918(f917(x103063,x103061),a905),f918(x103061,a905)),x103063),f9(x103061,f918(f917(x103063,x103061),a905),a905)),f328(f328(f10(f918(x103061,f917(x103063,x103061)),f918(x103061,f918(f918(f917(x103063,x103061),a905),a905)),x103063),f328(f10(f917(x103063,x103061),f918(f918(f917(x103063,x103061),a905),a905),x103061),f330(f917(x103063,x103061)))),f256(x103063,x103061)))),x103064)),x103062))
% 28.33/28.21 [10307]P107(f328(f328(f330(x103071),x103072),f328(f268(x103071,x103073),x103074)))+~P107(f328(f253(x103071,x103073,f328(f328(f9(x103071,f918(f917(x103071,x103073),a905),f918(x103073,a905)),f328(f328(f10(f918(x103073,f918(f918(f917(x103071,x103073),a905),a905)),f918(f918(f917(x103071,x103073),a905),f918(x103073,a905)),x103071),f9(x103073,f918(f917(x103071,x103073),a905),a905)),f328(f328(f10(f918(x103073,f917(x103071,x103073)),f918(x103073,f918(f918(f917(x103071,x103073),a905),a905)),x103071),f328(f10(f917(x103071,x103073),f918(f918(f917(x103071,x103073),a905),a905),x103073),f330(f917(x103071,x103073)))),f256(x103071,x103073)))),x103074)),x103072))
% 28.33/28.21 [9982]P107(f328(f162(x99821,x99822),x99823))+~P107(f328(f162(x99821,f328(f328(f20(x99821,a905,a905),f328(f328(f10(a905,f918(a905,a905),x99821),a326),x99824)),x99822)),x99823))
% 28.33/28.21 [9983]P107(f328(f162(x99831,x99832),x99833))+~P107(f328(f162(x99831,f328(f328(f20(x99831,a905,a905),f328(f328(f10(a905,f918(a905,a905),x99831),a326),x99832)),x99834)),x99833))
% 28.33/28.21 [10059]~P114(x100591)+E(f328(f328(f84(x100591),f328(f328(f83(x100591),f81(x100591)),f81(x100591))),f328(f328(f8(a911,x100591),f328(f328(f10(x100591,x100591,a911),f328(f83(x100591),x100592)),f328(f328(f9(a911,x100591,x100591),f328(f328(f10(x100591,f918(x100591,x100591),a911),f84(x100591)),f104(x100591))),x100593))),f328(f284(a911),x100594))),f328(f328(f84(x100591),f328(f104(x100591),x100594)),f328(f328(f83(x100591),x100592),f328(f328(f83(x100591),x100592),f328(f328(f84(x100591),f328(f104(x100591),f328(f328(f3(a911),x100594),f81(a911)))),x100593)))))
% 28.33/28.21 [10196]P107(f328(x101961,f561(x101962,x101963,x101964,x101961)))+P43(x101962,f328(f266(f917(x101962,x101962)),f328(f261(x101962,x101962,a905),f328(f328(f10(f918(x101962,a905),f918(x101962,a905),x101962),f328(f20(x101962,a905,a905),f328(f328(f10(a905,f918(a905,a905),x101962),a326),x101961))),f328(f328(f9(x101962,f918(x101962,x101962),f918(x101962,a905)),f328(f328(f10(f918(x101962,a905),f918(f918(x101962,x101962),f918(x101962,a905)),x101962),f10(x101962,a905,x101962)),a325)),x101963)))))
% 28.33/28.21 [10213]~P107(f328(f328(f240(a911),f328(x102134,f328(x102133,f561(x102131,x102133,x102134,x102132)))),f328(x102134,f561(x102131,x102133,x102134,x102132))))+P43(x102131,f328(f266(f917(x102131,x102131)),f328(f261(x102131,x102131,a905),f328(f328(f10(f918(x102131,a905),f918(x102131,a905),x102131),f328(f20(x102131,a905,a905),f328(f328(f10(a905,f918(a905,a905),x102131),a326),x102132))),f328(f328(f9(x102131,f918(x102131,x102131),f918(x102131,a905)),f328(f328(f10(f918(x102131,a905),f918(f918(x102131,x102131),f918(x102131,a905)),x102131),f10(x102131,a905,x102131)),a325)),x102133)))))
% 28.33/28.21 [10277]~P10(x102771)+E(f40(x102771,f328(f266(x102771),f328(f328(f10(f918(f918(x102772,x102771),a905),a905,x102771),f90(f918(x102772,x102771))),f328(f328(f10(f918(f918(x102772,x102771),a905),f918(f918(x102772,x102771),a905),x102771),f328(f20(f918(x102772,x102771),a905,a905),f328(f328(f10(a905,f918(a905,a905),f918(x102772,x102771)),a326),f328(f328(f9(f918(x102772,x102771),f918(f918(x102772,x102771),a905),a905),f330(f918(x102772,x102771))),x102773)))),f328(f328(f9(x102771,f918(f918(x102772,x102771),x102771),f918(f918(x102772,x102771),a905)),f328(f328(f10(f918(x102771,a905),f918(f918(f918(x102772,x102771),x102771),f918(f918(x102772,x102771),a905)),x102771),f10(x102771,a905,f918(x102772,x102771))),a325)),f328(f328(f9(f918(x102772,x102771),x102772,x102771),f7(f918(x102772,x102771))),x102774)))))),f328(f40(f918(x102772,x102771),x102773),x102774))
% 28.33/28.21 [10278]~P10(x102781)+E(f40(x102781,f328(f266(x102781),f328(f328(f10(f918(f918(x102782,x102781),a905),a905,x102781),f90(f918(x102782,x102781))),f328(f328(f10(f918(f918(x102782,x102781),a905),f918(f918(x102782,x102781),a905),x102781),f328(f20(f918(x102782,x102781),a905,a905),f328(f328(f10(a905,f918(a905,a905),f918(x102782,x102781)),a326),f328(f328(f9(f918(x102782,x102781),f918(f918(x102782,x102781),a905),a905),f330(f918(x102782,x102781))),x102783)))),f328(f328(f9(x102781,f918(f918(x102782,x102781),x102781),f918(f918(x102782,x102781),a905)),f328(f328(f10(f918(x102781,a905),f918(f918(f918(x102782,x102781),x102781),f918(f918(x102782,x102781),a905)),x102781),f10(x102781,a905,f918(x102782,x102781))),a325)),f328(f328(f9(f918(x102782,x102781),x102782,x102781),f7(f918(x102782,x102781))),x102784)))))),f328(f40(f918(x102782,x102781),x102783),x102784))
% 28.33/28.21 [10279]~P10(x102791)+E(f41(x102791,f328(f266(x102791),f328(f328(f10(f918(f918(x102792,x102791),a905),a905,x102791),f90(f918(x102792,x102791))),f328(f328(f10(f918(f918(x102792,x102791),a905),f918(f918(x102792,x102791),a905),x102791),f328(f20(f918(x102792,x102791),a905,a905),f328(f328(f10(a905,f918(a905,a905),f918(x102792,x102791)),a326),f328(f328(f9(f918(x102792,x102791),f918(f918(x102792,x102791),a905),a905),f330(f918(x102792,x102791))),x102793)))),f328(f328(f9(x102791,f918(f918(x102792,x102791),x102791),f918(f918(x102792,x102791),a905)),f328(f328(f10(f918(x102791,a905),f918(f918(f918(x102792,x102791),x102791),f918(f918(x102792,x102791),a905)),x102791),f10(x102791,a905,f918(x102792,x102791))),a325)),f328(f328(f9(f918(x102792,x102791),x102792,x102791),f7(f918(x102792,x102791))),x102794)))))),f328(f41(f918(x102792,x102791),x102793),x102794))
% 28.33/28.21 [10280]~P10(x102801)+E(f41(x102801,f328(f266(x102801),f328(f328(f10(f918(f918(x102802,x102801),a905),a905,x102801),f90(f918(x102802,x102801))),f328(f328(f10(f918(f918(x102802,x102801),a905),f918(f918(x102802,x102801),a905),x102801),f328(f20(f918(x102802,x102801),a905,a905),f328(f328(f10(a905,f918(a905,a905),f918(x102802,x102801)),a326),f328(f328(f9(f918(x102802,x102801),f918(f918(x102802,x102801),a905),a905),f330(f918(x102802,x102801))),x102803)))),f328(f328(f9(x102801,f918(f918(x102802,x102801),x102801),f918(f918(x102802,x102801),a905)),f328(f328(f10(f918(x102801,a905),f918(f918(f918(x102802,x102801),x102801),f918(f918(x102802,x102801),a905)),x102801),f10(x102801,a905,f918(x102802,x102801))),a325)),f328(f328(f9(f918(x102802,x102801),x102802,x102801),f7(f918(x102802,x102801))),x102804)))))),f328(f41(f918(x102802,x102801),x102803),x102804))
% 28.33/28.21 [10334]~P107(f328(f328(f330(f917(x103341,x103341)),f328(f328(f256(x103341,x103341),x103343),x103344)),f328(f328(f105(f918(f917(x103341,x103341),a905)),x103342),f308(x103341,f190(f918(f917(x103341,x103341),a905))))))+P107(f328(f328(f328(f328(f105(f918(x103341,f918(x103341,a905))),f328(f328(f9(x103341,f918(f917(x103341,x103341),a905),f918(x103341,a905)),f328(f328(f10(f918(x103341,f918(f918(f917(x103341,x103341),a905),a905)),f918(f918(f917(x103341,x103341),a905),f918(x103341,a905)),x103341),f9(x103341,f918(f917(x103341,x103341),a905),a905)),f328(f328(f10(f918(x103341,f917(x103341,x103341)),f918(x103341,f918(f918(f917(x103341,x103341),a905),a905)),x103341),f328(f10(f917(x103341,x103341),f918(f918(f917(x103341,x103341),a905),a905),x103341),f330(f917(x103341,x103341)))),f256(x103341,x103341)))),x103342)),a325),x103343),x103344))
% 28.33/28.21 [10343]P107(f328(f328(f330(f917(x103431,x103431)),f328(f328(f256(x103431,x103431),x103432),x103433)),f328(f328(f105(f918(f917(x103431,x103431),a905)),x103434),f308(x103431,f190(f918(f917(x103431,x103431),a905))))))+~P107(f328(f328(f328(f328(f105(f918(x103431,f918(x103431,a905))),f328(f328(f9(x103431,f918(f917(x103431,x103431),a905),f918(x103431,a905)),f328(f328(f10(f918(x103431,f918(f918(f917(x103431,x103431),a905),a905)),f918(f918(f917(x103431,x103431),a905),f918(x103431,a905)),x103431),f9(x103431,f918(f917(x103431,x103431),a905),a905)),f328(f328(f10(f918(x103431,f917(x103431,x103431)),f918(x103431,f918(f918(f917(x103431,x103431),a905),a905)),x103431),f328(f10(f917(x103431,x103431),f918(f918(f917(x103431,x103431),a905),a905),x103431),f330(f917(x103431,x103431)))),f256(x103431,x103431)))),x103434)),a325),x103432),x103433))
% 28.33/28.21 [10288]E(f328(f328(f153(f912(x102881)),f328(f328(f153(x102881),x102882),f328(f144(f912(x102881),f912(x102881),f136(x102881),f117(x102881)),f328(f328(f156(f912(x102881),f912(x102881)),f158(f912(x102881),x102881,f117(x102881),f328(f328(f10(f912(x102881),f918(f912(x102881),f912(x102881)),x102881),f18(f912(x102881),f912(x102881))),f328(f328(f9(x102881,f912(x102881),f912(x102881)),f153(x102881)),f117(x102881))))),x102883)))),f181(x102881,f328(f328(f153(f912(x102881)),x102884),f328(f144(f912(f912(x102881)),f912(f912(x102881)),f136(f912(x102881)),f117(f912(x102881))),f328(f328(f156(f912(x102881),f912(f912(x102881))),f158(f912(f912(x102881)),x102881,f117(f912(x102881)),f328(f18(f918(f912(x102881),f912(f912(x102881))),x102881),f328(f328(f9(f912(x102881),f912(f912(x102881)),f912(f912(x102881))),f153(f912(x102881))),f117(f912(x102881)))))),x102883))))),f181(x102881,f328(f328(f153(f912(x102881)),f328(f328(f153(x102881),x102882),x102884)),x102883)))+~P107(f328(f316(f912(f912(x102881)),f182(x102881)),f328(f328(f153(f912(x102881)),f328(f328(f153(x102881),x102882),x102884)),x102883)))
% 28.33/28.21 [10333]~P107(f328(f64(x103332),f328(f266(x103332),x103334)))+P107(f328(f64(x103331),f328(f266(x103331),f328(f328(f10(f918(x103332,a905),a905,x103331),f90(x103332)),f328(f328(f9(x103331,f918(x103332,a905),f918(x103332,a905)),f328(f328(f10(f918(x103332,f918(a905,a905)),f918(f918(x103332,a905),f918(x103332,a905)),x103331),f20(x103332,a905,a905)),f328(f328(f10(f918(x103332,a905),f918(x103332,f918(a905,a905)),x103331),f328(f10(a905,f918(a905,a905),x103332),a326)),f328(f328(f9(x103331,f918(x103332,x103331),f918(x103332,a905)),f328(f328(f10(f918(x103331,a905),f918(f918(x103332,x103331),f918(x103332,a905)),x103331),f10(x103331,a905,x103332)),a325)),x103333)))),x103334)))))
% 28.33/28.21 [8895]P30(x88951,x88952,x88953,x88954)+~P31(x88951,x88952,x88953,x88954,x88955)
% 28.33/28.21 [5397]E(x53971,x53972)+~E(f171(x53973,x53971,x53974),f171(x53973,x53972,x53975))
% 28.33/28.21 [5398]E(x53981,x53982)+~E(f129(x53983,x53984,x53981),f129(x53983,x53985,x53982))
% 28.33/28.21 [5399]E(x53991,x53992)+~E(f129(x53993,x53991,x53994),f129(x53993,x53992,x53995))
% 28.33/28.21 [8227]~E(f328(x82273,x82274),x82275)+E(f78(x82271,x82272,x82273,x82274,x82275),x82273)
% 28.33/28.21 [8228]~E(f328(x82283,x82284),x82285)+E(f78(x82281,x82282,x82283,x82284,x82285),x82283)
% 28.33/28.21 [8761]~E(f78(x87614,x87615,x87611,x87612,x87613),x87611)+E(f328(x87611,x87612),x87613)
% 28.33/28.21 [9262]~P47(f34(x92621,x92625),x92622,x92623,x92624)+P47(x92621,x92622,x92623,f416(x92624,x92623,x92622,x92625,x92621))
% 28.33/28.21 [9263]~P47(f34(x92631,x92635),x92632,x92633,x92634)+P47(x92631,x92632,x92633,f423(x92634,x92633,x92632,x92635,x92631))
% 28.33/28.21 [9264]~P47(f34(x92645,x92641),x92644,x92643,x92642)+P47(x92641,f416(x92642,x92643,x92644,x92641,x92645),x92643,x92642)
% 28.33/28.21 [9265]~P47(f34(x92655,x92651),x92654,x92653,x92652)+P47(x92651,f423(x92652,x92653,x92654,x92651,x92655),x92653,x92652)
% 28.33/28.21 [9368]~P31(x93682,x93681,x93684,x93683,x93685)+P31(x93681,x93682,f80(x93682,x93681,x93683,x93684),x93685,x93683)
% 28.33/28.21 [9369]~P31(x93692,x93691,x93694,x93693,x93695)+P31(x93691,x93692,f95(x93692,x93691,x93693,x93694),x93695,x93693)
% 28.33/28.21 [6199]P107(f328(f254(x61991,x61992,x61993),x61994))+~P107(f328(f328(x61993,x61995),x61994))
% 28.33/28.21 [6200]P107(f328(f254(x62001,x62002,x62003),x62004))+~P107(f328(f328(x62003,x62005),x62004))
% 28.33/28.21 [6201]P107(f328(f253(x62011,x62012,x62013),x62014))+~P107(f328(f328(x62013,x62014),x62015))
% 28.33/28.21 [6202]P107(f328(f253(x62021,x62022,x62023),x62024))+~P107(f328(f328(x62023,x62024),x62025))
% 28.33/28.21 [6670]~E(x66705,f2(a103))+E(f328(f200(x66701,x66702,x66703,x66704),x66705),f127(x66702))
% 28.33/28.21 [6671]~E(x66715,f2(a103))+E(f328(f202(x66711,x66712,x66713,x66714),x66715),f119(x66712))
% 28.33/28.21 [6763]~P47(f27(x67633,x67634),x67632,x67635,x67631)+E(x67631,f328(f328(f328(a198,x67632),x67633),f328(x67634,x67632)))
% 28.33/28.21 [6808]~E(x68083,f2(a103))+E(f328(f275(x68081,x68082,x68083,x68084),x68085),f328(f256(x68081,x68082),x68085))
% 28.33/28.21 [7861]~P25(x78614,x78611,x78612,x78615)+E(f328(f76(x78611,x78611,x78611,f328(x78612,x78613)),f328(x78612,x78613)),f328(x78612,x78613))
% 28.33/28.21 [8268]~P21(x82685,x82681,x82682)+E(f328(f76(x82681,x82681,x82681,f328(x82682,x82683)),f328(x82682,x82684)),f328(f76(x82681,x82681,x82681,f328(x82682,x82684)),f328(x82682,x82683)))
% 28.33/28.21 [8591]P107(f328(f328(f330(f917(x85911,x85911)),f328(f328(f256(x85911,x85911),x85912),x85913)),f322(x85911,x85914,x85915)))+~P107(f328(f328(f240(a911),f328(x85914,x85912)),f328(x85914,x85913)))
% 28.33/28.21 [8691]~P107(f328(f328(f330(x86914),x86913),f300(x86914,x86911,x86912,x86915)))+P107(f328(f328(x86911,x86912),x86913))
% 28.33/28.21 [8692]~P107(f328(f328(f330(x86924),x86923),f297(x86924,x86921,x86922,x86925)))+P107(f328(f328(x86921,x86922),x86923))
% 28.33/28.21 [8693]~P107(f328(f328(f330(x86934),x86932),f300(x86934,x86931,x86935,x86933)))+P107(f328(f328(x86931,x86932),x86933))
% 28.33/28.21 [8694]~P107(f328(f328(f330(x86944),x86942),f297(x86944,x86941,x86945,x86943)))+P107(f328(f328(x86941,x86942),x86943))
% 28.33/28.21 [8773]~P31(x87731,x87733,x87735,x87732,x87734)+E(f328(f38(x87731),x87732),f328(f38(x87733),x87734))
% 28.33/28.21 [8837]~P63(x88372,x88371,x88375,x88373,x88374)+E(f328(f311(x88371,x88372,x88373),x88374),f246(f918(x88372,a905)))
% 28.33/28.21 [9282]~P40(x92821,x92822,x92823,x92824,x92825)+P40(x92821,x92822,x92823,f328(f170(x92821),x92824),f328(f170(x92822),x92825))
% 28.33/28.21 [9284]~P40(x92841,x92842,x92843,f328(f170(x92841),x92844),x92845)+P40(x92841,x92842,x92843,x92844,f328(f170(x92842),x92845))
% 28.33/28.21 [9285]~P40(x92851,x92852,x92853,x92854,f328(f170(x92852),x92855))+P40(x92851,x92852,x92853,f328(f170(x92851),x92854),x92855)
% 28.33/28.21 [9291]P40(x92911,x92912,x92913,x92914,x92915)+~P40(x92911,x92912,x92913,f328(f170(x92911),x92914),f328(f170(x92912),x92915))
% 28.33/28.21 [9675]P107(f328(f328(f330(f917(f912(x96751),f912(x96751))),f328(f328(f256(f912(x96751),f912(x96751)),f328(f328(f136(x96751),x96752),x96753)),f328(f328(f136(x96751),x96752),x96754))),f149(x96751,x96755)))+~P107(f328(f328(f330(f917(f912(x96751),f912(x96751))),f328(f328(f256(f912(x96751),f912(x96751)),x96753),x96754)),f149(x96751,x96755)))
% 28.33/28.21 [9676]P107(f328(f328(f330(f917(f912(x96761),f912(x96761))),f328(f328(f256(f912(x96761),f912(x96761)),f328(f328(f153(x96761),x96762),x96763)),f328(f328(f153(x96761),x96762),x96764))),f159(x96761,x96765)))+~P107(f328(f328(f330(f917(f912(x96761),f912(x96761))),f328(f328(f256(f912(x96761),f912(x96761)),x96763),x96764)),f159(x96761,x96765)))
% 28.33/28.21 [9868]E(f328(f328(f153(x98681),f572(x98682,x98683,x98684,x98685,x98681)),f575(x98682,x98683,x98684,x98685,x98681)),x98685)+~P107(f328(f328(f330(f917(f912(x98681),f912(x98681))),f328(f328(f256(f912(x98681),f912(x98681)),x98685),f328(f328(f153(x98681),x98684),x98683))),f160(x98681,x98682)))
% 28.33/28.21 [9889]E(f328(f328(f153(x98891),f573(x98892,x98893,x98894,x98895,x98891)),f574(x98892,x98893,x98894,x98895,x98891)),x98893)+~P107(f328(f328(f330(f917(f912(x98891),f912(x98891))),f328(f328(f256(f912(x98891),f912(x98891)),f328(f328(f153(x98891),x98895),x98894)),x98893)),f160(x98891,x98892)))
% 28.33/28.21 [10033]~P107(f328(f328(f330(f917(f912(x100331),f912(x100331))),f328(f328(f256(f912(x100331),f912(x100331)),f328(f328(f153(x100331),x100335),x100332)),x100334)),f160(x100331,x100333)))+P107(f328(f328(f330(f917(f912(x100331),f912(x100331))),f328(f328(f256(f912(x100331),f912(x100331)),x100332),f574(x100333,x100334,x100332,x100335,x100331))),f160(x100331,x100333)))
% 28.33/28.21 [10102]~P107(f328(f328(f330(f917(f912(x101021),f912(x101021))),f328(f328(f256(f912(x101021),f912(x101021)),x101025),f328(f328(f153(x101021),x101024),x101023))),f160(x101021,x101022)))+P107(f328(f328(f330(f917(f912(x101021),f912(x101021))),f328(f328(f256(f912(x101021),f912(x101021)),f575(x101022,x101023,x101024,x101025,x101021)),x101023)),f160(x101021,x101022)))
% 28.33/28.21 [10282]P107(f328(f328(f330(f917(x102821,x102821)),f328(f328(f256(x102821,x102821),f328(x102822,f328(f328(f83(a911),x102823),x102824))),f328(x102822,x102823))),f308(x102821,x102825)))+~P107(f328(f328(f330(f917(x102821,x102821)),f328(f328(f256(x102821,x102821),f328(x102822,f328(a116,f718(x102824,x102823,x102825,x102822,x102821)))),f328(x102822,f718(x102824,x102823,x102825,x102822,x102821)))),f308(x102821,x102825)))
% 28.33/28.21 [5361]E(x53611,x53612)+~E(f328(f328(f153(x53613),x53614),x53611),f328(f328(f153(x53613),x53615),x53612))
% 28.33/28.21 [5362]E(x53621,x53622)+~E(f328(f328(f153(x53623),x53621),x53624),f328(f328(f153(x53623),x53622),x53625))
% 28.33/28.21 [5414]P107(f328(x54141,x54142))+~E(f328(f138(x54143,x54141),x54144),f328(f328(f153(x54143),x54142),x54145))
% 28.33/28.21 [5415]P107(f328(x54151,x54152))+~E(f328(f328(f153(x54153),x54152),x54154),f328(f138(x54153,x54151),x54155))
% 28.33/28.21 [5572]~E(f328(f328(f140(x55721),x55723),x55722),f328(f328(f153(x55721),x55724),x55725))+E(f328(f328(f166(x55721),x55722),x55723),x55724)
% 28.33/28.21 [5711]~P19(x57114,x57115,x57111)+E(f328(f328(x57111,x57112),f328(f328(x57111,x57112),x57113)),f328(f328(x57111,x57112),x57113))
% 28.33/28.21 [6258]~E(x62584,f2(a103))+E(f328(f328(f121(x62581,x62582,x62583),x62584),x62585),f328(f328(f256(f912(x62582),x62581),f117(x62582)),x62585))
% 28.33/28.21 [6327]~P109(x63272)+~E(f328(f328(f150(x63271,x63272,x63273),x63274),x63275),f117(x63271))
% 28.33/28.21 [6710]E(x67101,x67102)+~E(f328(f328(f136(x67103),x67104),f328(f328(f153(x67103),x67101),f117(x67103))),f328(f328(f136(x67103),x67105),f328(f328(f153(x67103),x67102),f117(x67103))))
% 28.33/28.21 [6711]E(x67111,x67112)+~E(f328(f328(f136(x67113),x67111),f328(f328(f153(x67113),x67114),f117(x67113))),f328(f328(f136(x67113),x67112),f328(f328(f153(x67113),x67115),f117(x67113))))
% 28.33/28.21 [7020]E(f328(f328(f310(x70201),f328(x70202,x70203)),f328(f311(x70204,x70201,x70202),x70205)),f328(f311(x70204,x70201,x70202),x70205))+~P107(f328(f328(f330(x70204),x70203),x70205))
% 28.33/28.21 [7027]~P107(f328(x70274,f328(x70273,x70275)))+P107(f328(f328(f312(x70271,x70272,x70273),x70274),x70275))
% 28.33/28.21 [7028]~P107(f328(f328(x70283,x70285),x70284))+P107(f328(f328(f247(x70281,x70282,x70283),x70284),x70285))
% 28.33/28.21 [7029]~P107(f328(f328(x70293,x70295),x70294))+P107(f328(f328(f247(x70291,x70292,x70293),x70294),x70295))
% 28.33/28.21 [7030]~P107(f328(f328(x70303,x70305),x70304))+P107(f328(f328(f247(x70301,x70302,x70303),x70304),x70305))
% 28.33/28.21 [7125]~E(f328(f311(x71251,x71252,x71253),x71254),x71255)+E(f328(f311(f918(x71251,a905),f918(x71252,a905),f311(x71251,x71252,x71253)),f328(f309(x71251),x71254)),f328(f309(x71252),x71255))
% 28.33/28.21 [7468]P30(x74681,x74682,x74683,x74684)+~P30(x74681,x74682,x74683,f328(f328(f310(x74681),x74685),x74684))
% 28.33/28.21 [7533]P107(f328(x75331,x75332))+~P107(f328(f328(f96(x75333,x75334,x75331),x75335),x75332))
% 28.33/28.21 [7580]~P107(f328(f328(f330(x75804),x75803),x75805))+P107(f328(f328(f330(x75801),f328(x75802,x75803)),f328(f311(x75804,x75801,x75802),x75805)))
% 28.33/28.21 [7602]~P109(x76022)+E(f152(x76021,x76022,x76023,f328(f138(x76021,x76024),x76025)),f328(f138(x76021,x76024),f152(x76021,x76022,x76023,x76025)))
% 28.33/28.21 [7633]P107(f328(x76331,f328(x76332,x76333)))+~P107(f328(f328(f312(x76334,x76335,x76332),x76331),x76333))
% 28.33/28.21 [7634]P107(f328(f328(x76341,x76342),x76343))+~P107(f328(f328(f247(x76344,x76345,x76341),x76343),x76342))
% 28.33/28.21 [7635]P107(f328(f328(x76351,x76352),x76353))+~P107(f328(f328(f247(x76354,x76355,x76351),x76353),x76352))
% 28.33/28.21 [7636]P107(f328(f328(x76361,x76362),x76363))+~P107(f328(f328(f247(x76364,x76365,x76361),x76363),x76362))
% 28.33/28.21 [7637]P107(f328(f328(x76371,x76372),x76373))+~P107(f328(f328(f96(x76374,x76371,x76375),x76372),x76373))
% 28.33/28.21 [7697]~P107(f328(f328(f330(x76973),f328(x76974,x76972)),x76975))+P107(f328(f328(f330(x76971),x76972),f328(f312(x76971,x76973,x76974),x76975)))
% 28.33/28.21 [7698]~P107(f328(f328(f330(x76983),f328(x76984,x76982)),x76985))+P107(f328(f328(f330(x76981),x76982),f328(f312(x76981,x76983,x76984),x76985)))
% 28.33/28.21 [8097]~P107(f328(f328(f330(x80975),x80973),f328(f312(x80975,x80971,x80972),x80974)))+P107(f328(f328(f330(x80971),f328(x80972,x80973)),x80974))
% 28.33/28.21 [8098]~P107(f328(f328(f330(x80985),x80983),f328(f312(x80985,x80981,x80982),x80984)))+P107(f328(f328(f330(x80981),f328(x80982,x80983)),x80984))
% 28.33/28.21 [8405]~P21(x84052,x84051,x84053)+E(f328(f144(x84051,x84052,f328(f9(x84052,x84051,x84051),x84053),x84054),f154(x84052,x84055)),f328(f328(f67(x84052,x84051,x84053),x84054),f328(f174(x84052),x84055)))
% 28.33/28.21 [8427]E(f328(x84271,f335(x84272,x84271,x84273,x84274)),x84274)+~P107(f328(f328(f330(x84275),x84274),f328(f311(x84273,x84275,x84271),x84272)))
% 28.33/28.21 [8736]~E(x87362,f328(f328(f153(x87361),x87364),x87365))+P107(f328(f328(f330(f917(f912(x87361),f912(x87361))),f328(f328(f256(f912(x87361),f912(x87361)),f117(x87361)),x87362)),f149(x87361,x87363)))
% 28.33/28.21 [8782]E(f328(x87821,f328(f95(x87822,x87823,x87824,x87821),x87825)),x87825)+~P107(f328(f328(f330(x87823),x87825),f328(f311(x87822,x87823,x87821),x87824)))
% 28.33/28.21 [8785]P30(x87851,x87852,f95(x87852,x87851,x87853,x87854),x87855)+~P107(f328(f328(f239(f918(x87851,a905)),x87855),f328(f311(x87852,x87851,x87854),x87853)))
% 28.33/28.21 [8790]~P40(x87901,x87903,x87905,x87902,x87904)+E(f328(f191(f912(x87901)),x87902),f328(f191(f912(x87903)),x87904))
% 28.33/28.21 [8791]~P40(x87911,x87913,x87915,x87912,x87914)+E(f328(f191(f912(x87911)),x87912),f328(f191(f912(x87913)),x87914))
% 28.33/28.21 [8792]~P40(x87921,x87923,x87925,x87922,x87924)+E(f328(f191(f912(x87921)),x87922),f328(f191(f912(x87923)),x87924))
% 28.33/28.21 [8803]P107(f328(f328(f239(f918(x88031,a905)),f328(f328(f43(x88032,f918(x88031,a905)),x88033),x88034)),f328(x88034,x88035)))+~P107(f328(f328(f330(x88032),x88035),x88033))
% 28.33/28.21 [8853]~P63(x88531,x88532,x88533,x88535,x88534)+E(f328(f311(x88531,x88532,x88533),f246(f918(x88531,a905))),x88534)
% 28.33/28.21 [9073]E(f328(f138(x90731,x90732),f712(x90733,x90734,x90735,x90732,x90731)),x90733)+~E(f328(f138(x90731,x90732),x90735),f328(f328(f153(x90731),x90734),x90733))
% 28.33/28.21 [9074]E(f328(f138(x90741,x90742),f727(x90743,x90742,x90744,x90745,x90741)),x90744)+~E(f328(f328(f153(x90741),x90745),x90744),f328(f138(x90741,x90742),x90743))
% 28.33/28.21 [9164]E(f328(f191(f912(x91641)),x91642),x91643)+~P107(f328(f328(f330(f917(f912(x91641),f912(x91641))),f328(f328(f256(f912(x91641),f912(x91641)),x91644),x91642)),f328(f145(x91641,x91645),x91643)))
% 28.33/28.21 [9165]E(f328(f191(f912(x91651)),x91652),x91653)+~P107(f328(f328(f330(f917(f912(x91651),f912(x91651))),f328(f328(f256(f912(x91651),f912(x91651)),x91652),x91654)),f328(f145(x91651,x91655),x91653)))
% 28.33/28.21 [9233]P107(f328(f328(f330(x92331),f335(x92332,x92333,x92331,x92334)),x92332))+~P107(f328(f328(f330(x92335),x92334),f328(f311(x92331,x92335,x92333),x92332)))
% 28.33/28.21 [9393]E(f328(f311(x93931,x93932,x93933),f342(x93934,x93933,x93931,x93935,x93932)),x93935)+~P107(f328(f328(f239(f918(x93932,a905)),x93935),f328(f311(x93931,x93932,x93933),x93934)))
% 28.33/28.21 [9693]P107(f328(f328(f330(f917(f912(x96931),f912(x96931))),f328(f328(f256(f912(x96931),f912(x96931)),f328(f328(f153(x96931),x96932),x96933)),f328(f328(f153(x96931),x96932),x96934))),f308(f912(x96931),f159(x96931,x96935))))+~P107(f328(f328(f330(f917(f912(x96931),f912(x96931))),f328(f328(f256(f912(x96931),f912(x96931)),x96933),x96934)),f308(f912(x96931),f159(x96931,x96935))))
% 28.33/28.21 [9724]~E(f328(x97243,f615(x97245,x97244,x97243,x97242,x97241)),f328(x97245,f615(x97245,x97244,x97243,x97242,x97241)))+E(f328(f328(f156(x97241,x97242),x97243),x97244),f328(f328(f156(x97241,x97242),x97245),x97244))
% 28.33/28.21 [9798]~E(f328(f138(x97981,x97985),x97984),f328(f328(f153(x97981),x97983),x97982))+E(f328(f328(f136(x97981),f713(x97982,x97983,x97984,x97985,x97981)),f328(f328(f153(x97981),x97983),f712(x97982,x97983,x97984,x97985,x97981))),x97984)
% 28.33/28.21 [9799]~E(f328(f328(f153(x97991),x97995),x97994),f328(f138(x97991,x97993),x97992))+E(f328(f328(f136(x97991),f728(x97992,x97993,x97994,x97995,x97991)),f328(f328(f153(x97991),x97995),f727(x97992,x97993,x97994,x97995,x97991))),x97992)
% 28.33/28.21 [9803]E(f328(f328(f156(x98031,x98032),x98033),x98034),f328(f328(f156(x98031,x98032),x98035),x98034))+P107(f328(f328(f330(x98031),f615(x98033,x98034,x98035,x98032,x98031)),f328(f174(x98031),x98034)))
% 28.33/28.21 [9833]~P107(f328(f328(f330(x98335),x98334),f328(f287(x98331,x98335,x98333),x98332)))+P107(f328(f328(f330(x98331),f343(x98332,x98333,x98331,x98334,x98335)),x98332))
% 28.33/28.21 [9834]~P107(f328(f328(f330(x98345),x98344),f328(f287(x98341,x98345,x98343),x98342)))+P107(f328(f328(f330(x98341),f348(x98342,x98343,x98341,x98344,x98345)),x98342))
% 28.33/28.21 [9862]~P107(f328(f328(f239(f918(x98625,a905)),x98624),f328(f311(x98621,x98625,x98623),x98622)))+P107(f328(f328(f239(f918(x98621,a905)),f342(x98622,x98623,x98621,x98624,x98625)),x98622))
% 28.33/28.21 [10283]E(x102831,f2(a103))+E(f227(f917(f912(x102832),x102833),f917(x102832,x102833),f328(f328(f256(f912(x102832),x102833),f117(x102832)),x102834),f328(f261(x102832,x102833,f917(f912(x102832),x102833)),f328(f328(f9(x102832,f918(x102833,f917(f912(x102832),x102833)),f918(x102833,f917(f912(x102832),x102833))),f328(f328(f10(f918(f917(f912(x102832),x102833),f917(f912(x102832),x102833)),f918(f918(x102833,f917(f912(x102832),x102833)),f918(x102833,f917(f912(x102832),x102833))),x102832),f10(f917(f912(x102832),x102833),f917(f912(x102832),x102833),x102833)),f328(f328(f10(f918(f912(x102832),f918(x102833,f917(f912(x102832),x102833))),f918(f917(f912(x102832),x102833),f917(f912(x102832),x102833)),x102832),f261(f912(x102832),x102833,f917(f912(x102832),x102833))),f328(f328(f10(f918(f912(x102832),f912(x102832)),f918(f912(x102832),f918(x102833,f917(f912(x102832),x102833))),x102832),f328(f10(f912(x102832),f918(x102833,f917(f912(x102832),x102833)),f912(x102832)),f256(f912(x102832),x102833))),f153(x102832))))),f328(f121(x102833,x102832,x102835),f328(f328(f3(a103),x102831),f81(a103))))),f328(x102835,x102834)),f328(f328(f121(x102833,x102832,x102835),x102831),x102834))
% 28.33/28.21 [6137]E(x61371,x61372)+~E(f328(f260(x61373,x61374),f328(f328(f256(x61373,x61374),x61375),x61371)),x61372)
% 28.33/28.21 [6138]E(x61381,x61382)+~E(f328(f255(x61383,x61384),f328(f328(f256(x61383,x61384),x61381),x61385)),x61382)
% 28.33/28.21 [6400]~E(x64003,f328(f328(f136(x64001),x64004),f328(f328(f153(x64001),x64002),x64005)))+P107(f328(f328(f330(x64001),x64002),f328(f174(x64001),x64003)))
% 28.33/28.21 [6795]E(f328(f311(x67951,x67952,f328(f18(x67952,x67951),x67953)),x67954),f328(f328(f310(x67952),x67953),f190(f918(x67952,a905))))+~P107(f328(f328(f330(x67951),x67955),x67954))
% 28.33/28.21 [6863]E(f328(f328(f105(f918(x68631,a905)),f328(f174(x68631),x68632)),f328(f174(x68631),x68633)),f328(f174(x68631),x68634))+~E(f168(x68631,x68635,x68634),f328(f328(f256(f912(x68631),f912(x68631)),x68632),x68633))
% 28.33/28.21 [6963]~P109(x69632)+E(f328(f191(f912(x69631)),f328(f328(f150(x69631,x69632,x69633),x69634),x69635)),f328(a116,f328(f191(f912(x69631)),x69635)))
% 28.33/28.21 [6975]~P109(x69752)+E(f328(f174(x69751),f328(f328(f150(x69751,x69752,x69753),x69754),x69755)),f328(f328(f310(x69751),x69754),f328(f174(x69751),x69755)))
% 28.33/28.21 [7244]~P114(x72441)+E(f328(f328(f83(x72441),f328(f328(f83(x72441),x72442),x72443)),f328(f328(f83(x72441),x72444),x72445)),f328(f328(f83(x72441),f328(f328(f83(x72441),x72442),x72444)),f328(f328(f83(x72441),x72443),x72445)))
% 28.33/28.21 [7245]~P114(x72451)+E(f328(f328(f84(x72451),f328(f328(f84(x72451),x72452),x72453)),f328(f328(f84(x72451),x72454),x72455)),f328(f328(f84(x72451),f328(f328(f84(x72451),x72452),x72454)),f328(f328(f84(x72451),x72453),x72455)))
% 28.33/28.21 [7246]~P69(x72461)+E(f328(f328(f291(x72461),f328(f328(f84(x72461),x72462),x72463)),f328(f328(f84(x72461),x72464),x72465)),f328(f328(f84(x72461),f328(f328(f291(x72461),x72462),x72464)),f328(f328(f291(x72461),x72463),x72465)))
% 28.33/28.21 [7260]~P109(x72601)+E(f307(x72601,f328(f328(f238(x72601),x72602),x72603),f328(f328(f243(x72601),x72604),x72605)),f328(f328(f106(f918(x72601,a905)),f307(x72601,x72602,x72604)),f307(x72601,x72603,x72605)))
% 28.33/28.21 [7261]~P109(x72611)+E(f306(x72611,f328(f328(f238(x72611),x72612),x72613),f328(f328(f243(x72611),x72614),x72615)),f328(f328(f106(f918(x72611,a905)),f306(x72611,x72612,x72614)),f306(x72611,x72613,x72615)))
% 28.33/28.21 [7262]~P109(x72621)+E(f304(x72621,f328(f328(f238(x72621),x72622),x72623),f328(f328(f243(x72621),x72624),x72625)),f328(f328(f106(f918(x72621,a905)),f304(x72621,x72622,x72624)),f304(x72621,x72623,x72625)))
% 28.33/28.21 [7263]~P109(x72631)+E(f328(f328(f106(f918(x72631,a905)),f328(f303(x72631,x72632),x72633)),f328(f303(x72631,x72634),x72635)),f328(f303(x72631,f328(f328(f238(x72631),x72632),x72634)),f328(f328(f243(x72631),x72633),x72635)))
% 28.33/28.21 [7386]~P107(f328(x73861,f878(x73863,x73862,x73861)))+P107(f328(x73861,f328(f328(f256(x73862,x73863),x73864),x73865)))
% 28.33/28.21 [7500]~E(x75002,f328(x75004,x75005))+P107(f328(f328(f330(x75001),x75002),f328(f311(x75003,x75001,x75004),f246(f918(x75003,a905)))))
% 28.33/28.21 [7577]~P19(x75773,x75772,x75774)+P19(x75771,x75772,f328(f328(f10(x75773,f918(x75772,x75772),x75771),x75774),x75775))
% 28.33/28.21 [7578]~P21(x75783,x75782,x75784)+P21(x75781,x75782,f328(f328(f10(x75783,f918(x75782,x75782),x75781),x75784),x75785))
% 28.33/28.21 [7715]~P30(x77151,x77152,x77153,x77154)+P30(x77151,x77152,x77153,f328(f328(f3(f918(x77151,a905)),x77154),x77155))
% 28.33/28.21 [7869]~P107(f328(f328(x78693,x78694),x78695))+P107(f328(f328(f261(x78691,x78692,a905),x78693),f328(f328(f256(x78691,x78692),x78694),x78695)))
% 28.33/28.21 [7870]~P107(f328(f328(x78703,x78704),x78705))+P107(f328(f328(f261(x78701,x78702,a905),x78703),f328(f328(f256(x78701,x78702),x78704),x78705)))
% 28.33/28.21 [7988]~P107(f328(x79882,x79884))+~E(f328(f328(f140(x79881),f328(f191(f912(x79881)),f179(x79881,x79882,x79883))),x79883),f328(f328(f153(x79881),x79884),x79885))
% 28.33/28.21 [8008]P30(x80081,x80082,x80083,x80084)+~P30(x80081,x80082,x80083,f328(f328(f105(f918(x80081,a905)),x80085),x80084))
% 28.33/28.21 [8009]P30(x80091,x80092,x80093,x80094)+~P30(x80091,x80092,x80093,f328(f328(f105(f918(x80091,a905)),x80094),x80095))
% 28.33/28.21 [8056]~P109(x80562)+E(f328(f328(f150(x80561,x80562,x80563),x80564),f152(x80561,x80562,x80563,x80565)),f152(x80561,x80562,x80563,f328(f328(f153(x80561),x80564),x80565)))
% 28.33/28.21 [8225]~P33(x82251,f328(a116,x82252),f328(f328(f328(f94(x82251),x82253),f328(a26,x82254)),x82255))+P33(x82251,x82252,f328(f328(f328(f94(x82251),x82253),f328(f236(a906),f328(a28,x82254))),x82255))
% 28.33/28.21 [8353]P33(x83531,f328(a116,x83532),f328(f328(f328(f94(x83531),x83533),f328(a26,x83534)),x83535))+~P33(x83531,x83532,f328(f328(f328(f94(x83531),x83533),f328(f236(a906),f328(a28,x83534))),x83535))
% 28.33/28.21 [8382]~P19(x83822,x83821,x83823)+E(f328(f144(x83821,x83822,f328(f9(x83822,x83821,x83821),x83823),x83824),x83825),f328(f328(f67(x83822,x83821,x83823),x83824),f328(f174(x83822),x83825)))
% 28.33/28.21 [8410]~E(f328(f328(f140(x84101),f328(f191(f912(x84101)),f179(x84101,x84102,x84103))),x84103),f328(f328(f153(x84101),x84104),x84105))+E(f328(f328(f136(x84101),f179(x84101,x84102,x84103)),f328(f328(f153(x84101),x84104),x84105)),x84103)
% 28.33/28.21 [8437]P107(f328(f328(x84371,x84372),x84373))+~P107(f328(f328(f261(x84374,x84375,a905),x84371),f328(f328(f256(x84374,x84375),x84372),x84373)))
% 28.33/28.21 [8508]P47(x85084,f378(x85085,x85084,x85083,x85082),x85082,f387(x85085,x85084,x85083,x85082))+P33(x85081,x85082,f328(f328(f328(f94(x85081),x85083),x85084),x85085))
% 28.33/28.21 [8911]P107(f328(f328(f239(f918(x89111,a905)),f328(f311(x89112,x89111,x89113),x89114)),f328(f311(x89112,x89111,x89113),x89115)))+~P107(f328(f328(f239(f918(x89112,a905)),x89114),x89115))
% 28.33/28.21 [8912]P107(f328(f328(f239(f918(x89121,a905)),f328(f312(x89121,x89122,x89123),x89124)),f328(f312(x89121,x89122,x89123),x89125)))+~P107(f328(f328(f239(f918(x89122,a905)),x89124),x89125))
% 28.33/28.21 [8988]E(x89881,f2(a103))+E(f328(f328(f263(x89882,x89883,x89882,f917(x89883,x89882)),f328(x89884,x89885)),f275(x89883,x89882,f328(f328(f3(a103),x89881),f81(a103)),x89884)),f328(f275(x89883,x89882,x89881,x89884),x89885))
% 28.33/28.21 [9096]P107(f328(f328(f259(x90961,x90962,a905,x90963),x90964),x90965))+~P107(f328(x90963,f328(f328(f256(x90961,x90962),x90964),x90965)))
% 28.33/28.21 [9313]P33(x93131,x93132,f328(f328(f328(f94(x93131),x93133),x93134),x93135))+P107(f328(f328(x93133,f363(x93135,x93134,x93133,x93132)),f378(x93135,x93134,x93133,x93132)))
% 28.33/28.21 [9545]P33(x95451,x95452,f328(f328(f328(f94(x95451),x95453),x95454),x95455))+~P107(f328(f328(x95455,f363(x95455,x95454,x95453,x95452)),f387(x95455,x95454,x95453,x95452)))
% 28.33/28.21 [9548]~P107(f328(f328(f330(x95482),x95485),f328(f311(x95481,x95482,x95484),x95483)))+P107(f328(f328(f330(x95481),f328(f95(x95481,x95482,x95483,x95484),x95485)),x95483))
% 28.33/28.21 [9639]~P107(f328(f64(x96393),f328(f311(x96392,x96393,x96395),f246(f918(x96392,a905)))))+P107(f328(f64(x96391),f328(f311(x96392,x96391,f328(f328(f10(x96393,x96391,x96392),x96394),x96395)),f246(f918(x96392,a905)))))
% 28.33/28.21 [9662]P107(f328(f328(f239(f918(f918(x96621,a905),a905)),f328(f311(f918(x96622,a905),f918(x96621,a905),f311(x96622,x96621,x96623)),f328(f309(x96622),x96624))),f328(f309(x96621),x96625)))+~P107(f328(f328(f239(f918(x96621,a905)),f328(f311(x96622,x96621,x96623),x96624)),x96625))
% 28.33/28.21 [9733]E(x97331,x97332)+~P107(f328(f69(x97333,x97334,x97335,x97331,f190(f918(x97333,a905))),x97332))
% 28.33/28.21 [9748]E(f328(f328(f256(x97481,x97482),f537(x97483,x97484,x97485,x97482,x97481)),f538(x97483,x97484,x97485,x97482,x97481)),x97485)+~P107(f328(f328(f330(f917(x97481,x97482)),x97485),f328(f328(f258(x97481,x97482),x97484),x97483)))
% 28.33/28.21 [9838]P107(f328(f328(f330(x98381),f537(x98382,x98383,x98384,x98385,x98381)),x98383))+~P107(f328(f328(f330(f917(x98381,x98385)),x98384),f328(f328(f258(x98381,x98385),x98383),x98382)))
% 28.33/28.21 [9939]P29(x99395,x99394,f328(f328(f310(f910(x99395)),f328(f328(f328(f94(x99395),x99391),x99393),x99392)),f190(f918(f910(x99395),a905))))+P107(f328(f328(x99391,f340(x99392,x99393,x99394,x99395,x99391)),f341(x99392,x99393,x99394,x99395,x99391)))
% 28.33/28.21 [9991]P107(f328(f328(f330(x99911),f538(x99912,x99913,x99914,x99911,x99915)),f328(x99912,f537(x99912,x99913,x99914,x99911,x99915))))+~P107(f328(f328(f330(f917(x99915,x99911)),x99914),f328(f328(f258(x99915,x99911),x99913),x99912)))
% 28.33/28.21 [10011]P107(f328(f328(f330(f917(x100111,x100111)),f328(f328(f256(x100111,x100111),x100112),f732(x100113,x100114,x100115,x100112,x100111))),x100113))+~P107(f328(f328(f330(f917(x100111,x100111)),f328(f328(f256(x100111,x100111),x100112),x100115)),f328(f328(f185(f917(x100111,x100111),a905),f328(a116,x100114)),x100113)))
% 28.33/28.21 [10012]P107(f328(f328(f330(f917(x100121,x100121)),f328(f328(f256(x100121,x100121),x100122),f734(x100123,x100124,x100125,x100122,x100121))),x100123))+~P107(f328(f328(f330(f917(x100121,x100121)),f328(f328(f256(x100121,x100121),x100122),x100125)),f328(f328(f185(f917(x100121,x100121),a905),f328(a116,x100124)),x100123)))
% 28.33/28.21 [10029]~P107(f328(f328(f330(f917(f912(x100291),f912(x100291))),f328(f328(f256(f912(x100291),f912(x100291)),f328(f328(f153(x100291),x100292),x100295)),x100294)),f160(x100291,x100293)))+P107(f328(f328(f330(f917(x100291,x100291)),f328(f328(f256(x100291,x100291),x100292),f573(x100293,x100294,x100295,x100292,x100291))),x100293))
% 28.33/28.21 [10031]~P29(x100311,x100312,f328(f328(f310(f910(x100311)),f328(f328(f328(f94(x100311),f96(x100311,x100313,x100314)),x100315),x100313)),f190(f918(f910(x100311),a905))))+P29(x100311,x100312,f328(f328(f310(f910(x100311)),f328(f328(f328(f94(x100311),x100313),f33(x100314,x100315)),f96(x100311,x100313,f328(f76(a905,a905,a907,a323),x100314)))),f190(f918(f910(x100311),a905))))
% 28.33/28.21 [10309]P29(x103091,x103092,f328(f328(f310(f910(x103091)),f328(f328(f328(f94(x103091),x103093),x103094),x103095)),f190(f918(f910(x103091),a905))))+~P29(x103091,x103092,f328(f328(f310(f910(x103091)),f328(f328(f328(f94(x103091),f328(f18(f918(a907,a905),x103091),f328(f328(f9(a907,a907,a905),a325),f341(x103095,x103094,x103092,x103091,x103093)))),x103094),f328(f18(f918(a907,a905),x103091),f328(x103095,f340(x103095,x103094,x103092,x103091,x103093))))),f190(f918(f910(x103091),a905))))
% 28.33/28.21 [6475]P107(f328(x64752,x64754))+E(f179(x64751,x64752,f328(f328(f136(x64751),x64753),f328(f328(f153(x64751),x64754),x64755))),f179(x64751,x64752,x64753))
% 28.33/28.21 [6522]~P80(x65222)+E(f328(f328(f328(f3(f918(x65221,x65222)),x65223),x65224),x65225),f328(f328(f3(x65222),f328(x65223,x65225)),f328(x65224,x65225)))
% 28.33/28.21 [6523]~P80(x65232)+E(f328(f328(f328(f3(f918(x65231,x65232)),x65233),x65234),x65235),f328(f328(f3(x65232),f328(x65233,x65235)),f328(x65234,x65235)))
% 28.33/28.21 [6524]~P101(x65242)+E(f328(f328(f328(f105(f918(x65241,x65242)),x65243),x65244),x65245),f328(f328(f105(x65242),f328(x65243,x65245)),f328(x65244,x65245)))
% 28.33/28.21 [6525]~P101(x65252)+E(f328(f328(f328(f105(f918(x65251,x65252)),x65253),x65254),x65255),f328(f328(f105(x65252),f328(x65253,x65255)),f328(x65254,x65255)))
% 28.33/28.21 [6526]~P101(x65262)+E(f328(f328(f328(f106(f918(x65261,x65262)),x65263),x65264),x65265),f328(f328(f106(x65262),f328(x65263,x65265)),f328(x65264,x65265)))
% 28.33/28.21 [6527]~P101(x65272)+E(f328(f328(f328(f106(f918(x65271,x65272)),x65273),x65274),x65275),f328(f328(f106(x65272),f328(x65273,x65275)),f328(x65274,x65275)))
% 28.33/28.21 [6546]E(x65461,x65462)+E(f328(f328(f166(x65463),f328(f328(f161(x65463,x65464),x65461),x65465)),x65462),f328(f328(f166(x65463),x65464),x65462))
% 28.33/28.21 [6813]~E(x68134,f190(f918(x68133,a905)))+E(f328(f328(f3(f918(x68131,a905)),x68132),f328(f328(f42(x68133,f918(x68131,a905)),x68134),x68135)),x68132)
% 28.33/28.21 [6814]~E(x68144,f190(f918(x68143,a905)))+E(f328(f328(f105(f918(x68141,a905)),x68142),f328(f328(f42(x68143,f918(x68141,a905)),x68144),x68145)),x68142)
% 28.33/28.21 [6815]~E(x68154,f190(f918(x68153,a905)))+E(f328(f328(f106(f918(x68151,a905)),x68152),f328(f328(f43(x68153,f918(x68151,a905)),x68154),x68155)),x68152)
% 28.33/28.21 [6829]~E(x68294,f190(f918(x68293,a905)))+E(f328(f328(f310(x68291),x68292),f328(f328(f42(x68293,f918(x68291,a905)),x68294),x68295)),f328(f328(f310(x68291),x68292),f190(f918(x68291,a905))))
% 28.33/28.21 [7243]~P114(x72431)+E(f328(f328(f84(x72431),f328(f328(f84(x72431),x72432),x72433)),f328(f328(f84(x72431),x72434),x72435)),f328(f328(f84(x72431),x72432),f328(f328(f84(x72431),x72433),f328(f328(f84(x72431),x72434),x72435))))
% 28.33/28.21 [7624]E(f328(f328(f166(x76241),f328(f328(f156(x76242,x76241),x76243),x76244)),x76245),f328(x76243,f328(f328(f166(x76242),x76244),x76245)))+~P107(f328(f328(f240(a911),x76245),f328(f191(f912(x76242)),x76244)))
% 28.33/28.21 [7686]E(f328(f328(f105(f918(x76861,a905)),f328(x76862,x76863)),f328(f328(f42(x76864,f918(x76861,a905)),x76865),x76862)),f328(f328(f42(x76864,f918(x76861,a905)),x76865),x76862))+~P107(f328(f328(f330(x76864),x76863),x76865))
% 28.33/28.21 [7687]E(f328(f328(f106(f918(x76871,a905)),f328(x76872,x76873)),f328(f328(f43(x76874,f918(x76871,a905)),x76875),x76872)),f328(f328(f43(x76874,f918(x76871,a905)),x76875),x76872))+~P107(f328(f328(f330(x76874),x76873),x76875))
% 28.33/28.21 [8303]~E(x83033,f190(f918(x83031,a905)))+E(f328(f328(f42(x83031,f918(x83032,a905)),x83033),f328(f328(f10(f918(x83032,a905),f918(x83032,a905),x83031),f328(f310(x83032),x83034)),x83035)),f190(f918(x83032,a905)))
% 28.33/28.21 [8309]~P107(f328(f328(f330(x83094),x83093),x83095))+P107(f328(f328(f239(f918(x83091,a905)),f328(x83092,x83093)),f328(f328(f42(x83094,f918(x83091,a905)),x83095),x83092)))
% 28.33/28.21 [8436]~E(f328(x84364,x84362),x84365)+P107(f328(f328(f330(x84361),x84362),f328(f312(x84361,x84363,x84364),f328(f328(f310(x84363),x84365),f190(f918(x84363,a905))))))
% 28.33/28.21 [8483]~P61(x84831,x84832,f328(f288(x84832,x84831),x84833))+E(f328(f328(f106(f918(x84831,a905)),f328(f287(x84832,x84831,x84833),x84834)),f328(f287(x84832,x84831,x84833),x84835)),f328(f287(x84832,x84831,x84833),f328(f328(f106(f918(x84832,a905)),x84834),x84835)))
% 28.33/28.21 [8559]E(x85591,f2(a103))+E(f328(f122(x85592,x85593,f328(x85594,f328(f328(f3(a103),x85591),f81(a103)))),f328(f328(f9(x85592,a103,f913(x85593)),x85595),x85591)),f328(f202(x85592,x85593,x85594,x85595),x85591))
% 28.33/28.21 [8600]E(x86001,f190(f918(x86002,a905)))+E(f328(f328(f42(x86002,f918(x86003,a905)),x86001),f328(f328(f10(f918(x86003,a905),f918(x86003,a905),x86002),f328(f310(x86003),x86004)),x86005)),f328(f328(f310(x86003),x86004),f328(f328(f42(x86002,f918(x86003,a905)),x86001),x86005)))
% 28.33/28.21 [8601]E(x86011,f190(f918(x86012,a905)))+E(f328(f328(f42(x86012,f918(x86013,a905)),x86011),f328(f328(f10(f918(x86013,a905),f918(x86013,a905),x86012),f328(f310(x86013),x86014)),x86015)),f328(f328(f310(x86013),x86014),f328(f328(f42(x86012,f918(x86013,a905)),x86011),x86015)))
% 28.33/28.21 [8657]~P30(x86572,x86571,x86573,f246(f918(x86572,a905)))+E(f328(f328(f3(f918(x86571,a905)),f328(f311(x86572,x86571,x86573),x86574)),f328(f311(x86572,x86571,x86573),x86575)),f328(f311(x86572,x86571,x86573),f328(f328(f3(f918(x86572,a905)),x86574),x86575)))
% 28.33/28.21 [8658]~P30(x86582,x86581,x86583,f246(f918(x86582,a905)))+E(f328(f328(f106(f918(x86581,a905)),f328(f311(x86582,x86581,x86583),x86584)),f328(f311(x86582,x86581,x86583),x86585)),f328(f311(x86582,x86581,x86583),f328(f328(f106(f918(x86582,a905)),x86584),x86585)))
% 28.33/28.21 [8723]~P107(f328(f328(f70(x87231,x87232,x87235),x87233),x87234))+P107(f328(f328(f330(f917(x87231,x87232)),f328(f328(f256(x87231,x87232),x87233),x87234)),x87235))
% 28.33/28.21 [8754]P107(f328(f328(f330(x87541),x87542),f328(f286(x87543,x87541),x87544)))+~P107(f328(f328(f330(f917(x87543,x87541)),f328(f328(f256(x87543,x87541),x87545),x87542)),x87544))
% 28.33/28.21 [8755]P107(f328(f328(f330(x87551),x87552),f328(f286(x87553,x87551),x87554)))+~P107(f328(f328(f330(f917(x87553,x87551)),f328(f328(f256(x87553,x87551),x87555),x87552)),x87554))
% 28.33/28.21 [8756]P107(f328(f328(f330(x87561),x87562),f328(f268(x87561,x87563),x87564)))+~P107(f328(f328(f330(f917(x87561,x87563)),f328(f328(f256(x87561,x87563),x87562),x87565)),x87564))
% 28.33/28.21 [8757]P107(f328(f328(f330(x87571),x87572),f328(f268(x87571,x87573),x87574)))+~P107(f328(f328(f330(f917(x87571,x87573)),f328(f328(f256(x87571,x87573),x87572),x87575)),x87574))
% 28.33/28.21 [8896]P107(f328(f328(f70(x88961,x88962,x88963),x88964),x88965))+~P107(f328(f328(f330(f917(x88961,x88962)),f328(f328(f256(x88961,x88962),x88964),x88965)),x88963))
% 28.33/28.21 [8934]E(f328(x89341,x89342),x89343)+~P107(f328(f328(f330(x89344),x89342),f328(f312(x89344,x89345,x89341),f328(f328(f310(x89345),x89343),f190(f918(x89345,a905))))))
% 28.33/28.21 [9160]P107(f328(f328(f330(f917(x91601,x91602)),f328(f328(f256(x91601,x91602),x91603),x91604)),f328(f288(x91602,x91601),x91605)))+~P107(f328(f328(f330(f917(x91602,x91601)),f328(f328(f256(x91602,x91601),x91604),x91603)),x91605))
% 28.33/28.21 [9161]P107(f328(f328(f330(f917(x91611,x91612)),f328(f328(f256(x91611,x91612),x91613),x91614)),f328(f288(x91612,x91611),x91615)))+~P107(f328(f328(f330(f917(x91612,x91611)),f328(f328(f256(x91612,x91611),x91614),x91613)),x91615))
% 28.33/28.21 [9179]~P107(f328(f328(x91791,x91795),x91794))+P107(f328(f328(x91791,f328(f260(x91792,x91793),f328(f328(f256(x91792,x91793),x91794),x91795))),f328(f255(x91792,x91793),f328(f328(f256(x91792,x91793),x91794),x91795))))
% 28.33/28.21 [9207]~P107(f328(f328(f330(f917(x92072,x92071)),f328(f328(f256(x92072,x92071),x92074),x92073)),f328(f288(x92071,x92072),x92075)))+P107(f328(f328(f330(f917(x92071,x92072)),f328(f328(f256(x92071,x92072),x92073),x92074)),x92075))
% 28.33/28.21 [9208]~P107(f328(f328(f330(f917(x92082,x92081)),f328(f328(f256(x92082,x92081),x92084),x92083)),f328(f288(x92081,x92082),x92085)))+P107(f328(f328(f330(f917(x92081,x92082)),f328(f328(f256(x92081,x92082),x92083),x92084)),x92085))
% 28.33/28.21 [9240]~P107(f328(f328(f330(f917(x92403,x92401)),f328(f328(f256(x92403,x92401),x92405),x92402)),x92404))+P107(f328(f328(f330(x92401),x92402),f328(f287(x92403,x92401,x92404),f328(f328(f310(x92403),x92405),f190(f918(x92403,a905))))))
% 28.33/28.21 [9294]P107(f328(f328(f330(f917(x92941,x92942)),f328(f328(f256(x92941,x92942),x92943),x92944)),x92945))+~P107(f328(f328(f330(x92942),x92944),f328(f287(x92941,x92942,x92945),f328(f328(f310(x92941),x92943),f190(f918(x92941,a905))))))
% 28.33/28.21 [9379]~P76(x93791)+E(f328(f328(f8(a911,x93791),x93792),f304(a911,f328(f328(f83(a911),x93793),x93794),f328(f328(f83(a911),x93795),x93794))),f328(f328(f8(a911,x93791),f328(f328(f10(a911,x93791,a911),x93792),f328(f328(f9(a911,a911,a911),f83(a911)),x93794))),f304(a911,x93793,x93795)))
% 28.33/28.21 [9397]~P76(x93971)+E(f328(f328(f8(a911,x93971),x93972),f328(f303(a911,f328(f328(f83(a911),x93973),x93974)),f328(f328(f83(a911),x93975),x93974))),f328(f328(f8(a911,x93971),f328(f328(f10(a911,x93971,a911),x93972),f328(f328(f9(a911,a911,a911),f83(a911)),x93974))),f328(f303(a911,x93973),x93975)))
% 28.33/28.21 [9451]~P30(x94511,x94512,x94513,f246(f918(x94511,a905)))+E(f328(f328(f156(x94511,x94512),x94513),f328(f138(x94511,f328(f328(f10(a905,a905,x94511),a323),f328(a325,x94514))),x94515)),f328(f138(x94512,f328(f328(f10(a905,a905,x94512),a323),f328(a325,f328(x94513,x94514)))),f328(f328(f156(x94511,x94512),x94513),x94515)))
% 28.33/28.21 [9469]~P30(x94691,x94692,x94693,f328(f328(f310(x94691),x94694),f328(f174(x94691),x94695)))+E(f328(f328(f156(x94691,x94692),x94693),f328(f138(x94691,f328(f328(f10(a905,a905,x94691),a323),f328(a325,x94694))),x94695)),f328(f138(x94692,f328(f328(f10(a905,a905,x94692),a323),f328(a325,f328(x94693,x94694)))),f328(f328(f156(x94691,x94692),x94693),x94695)))
% 28.33/28.21 [9627]P107(f328(f328(f330(f917(f912(x96271),f912(x96271))),f328(f328(f256(f912(x96271),f912(x96271)),f328(f328(f153(x96271),x96272),x96273)),f328(f328(f153(x96271),x96274),x96273))),f159(x96271,x96275)))+~P107(f328(f328(f330(f917(x96271,x96271)),f328(f328(f256(x96271,x96271),x96272),x96274)),x96275))
% 28.33/28.21 [9731]P29(x97311,x97312,f328(f328(f310(f910(x97311)),f328(f328(f328(f94(x97311),x97313),f328(a26,x97314)),x97315)),f190(f918(f910(x97311),a905))))+~P29(x97311,f328(f328(f310(f910(x97311)),f328(f328(f328(f94(x97311),x97313),f328(a26,x97314)),x97315)),x97312),f328(f328(f310(f910(x97311)),f328(f328(f328(f94(x97311),x97313),f328(f236(a906),f328(a28,x97314))),x97315)),f190(f918(f910(x97311),a905))))
% 28.33/28.21 [9743]E(f328(f328(f310(x97431),f508(x97432,x97433,x97434,x97435,x97431)),f509(x97432,x97433,x97434,x97435,x97431)),f328(f328(f310(x97431),x97434),x97433))+~P107(f328(f65(x97431,x97435,f328(f328(f310(x97431),x97434),x97433)),x97432))
% 28.33/28.21 [9744]E(f328(f328(f310(x97441),f514(x97442,x97443,x97444,x97445,x97441)),f515(x97442,x97443,x97444,x97445,x97441)),f328(f328(f310(x97441),x97444),x97443))+~P107(f328(f65(x97441,x97445,f328(f328(f310(x97441),x97444),x97443)),x97442))
% 28.33/28.21 [9824]P107(f328(f328(f330(x98241),f618(x98242,x98243,x98244,x98245,x98241)),x98244))+P107(f328(f328(f328(f43(x98241,f918(x98245,a905)),x98244),x98243),x98242))
% 28.33/28.21 [9829]P107(f328(f328(f330(x98291),f619(x98292,x98293,x98291,x98294,x98295)),x98293))+P107(f328(f328(f330(x98295),x98294),f328(f328(f43(x98291,f918(x98295,a905)),x98293),x98292)))
% 28.33/28.21 [9837]P107(f328(f328(f330(x98371),f617(x98372,x98373,x98371,x98374,x98375)),x98373))+P107(f328(f328(f239(f918(x98375,a905)),x98374),f328(f328(f43(x98371,f918(x98375,a905)),x98373),x98372)))
% 28.33/28.21 [9839]P107(f328(f328(x98391,f393(x98392,x98391,x98393,x98394,x98395)),x98392))+~P107(f328(f328(f328(f42(x98395,f918(x98394,a905)),x98393),x98391),x98392))
% 28.33/28.21 [9843]P107(f328(f328(f330(x98431),f393(x98432,x98433,x98434,x98435,x98431)),x98434))+~P107(f328(f328(f328(f42(x98431,f918(x98435,a905)),x98434),x98433),x98432))
% 28.33/28.21 [9844]P59(x98444,f328(f328(f43(x98441,f918(x98444,a905)),x98445),x98443),f328(f328(f43(x98441,f918(f917(x98444,x98444),a905)),x98445),x98442))+P107(f328(f328(f330(x98441),f803(x98442,x98443,x98444,x98445,x98441)),x98445))
% 28.33/28.21 [9854]P107(f328(f328(f330(x98541),f399(x98542,x98543,x98541,x98544,x98545)),x98543))+~P107(f328(f328(f330(x98545),x98544),f328(f328(f42(x98541,f918(x98545,a905)),x98543),x98542)))
% 28.33/28.21 [9860]P107(f328(f328(f330(x98601),x98602),f328(x98603,f399(x98603,x98604,x98605,x98602,x98601))))+~P107(f328(f328(f330(x98601),x98602),f328(f328(f42(x98605,f918(x98601,a905)),x98604),x98603)))
% 28.33/28.21 [9944]~P107(f328(f328(x99444,f618(x99445,x99444,x99443,x99442,x99441)),x99445))+P107(f328(f328(f328(f43(x99441,f918(x99442,a905)),x99443),x99444),x99445))
% 28.33/28.21 [9947]~P107(f328(f328(f330(x99471),x99472),f328(x99475,f619(x99475,x99474,x99473,x99472,x99471))))+P107(f328(f328(f330(x99471),x99472),f328(f328(f43(x99473,f918(x99471,a905)),x99474),x99475)))
% 28.33/28.21 [9951]~P59(x99511,f328(x99514,f803(x99515,x99514,x99511,x99513,x99512)),f328(x99515,f803(x99515,x99514,x99511,x99513,x99512)))+P59(x99511,f328(f328(f43(x99512,f918(x99511,a905)),x99513),x99514),f328(f328(f43(x99512,f918(f917(x99511,x99511),a905)),x99513),x99515))
% 28.33/28.21 [9952]~P107(f328(f328(f239(f918(x99521,a905)),x99522),f328(x99525,f617(x99525,x99524,x99523,x99522,x99521))))+P107(f328(f328(f239(f918(x99521,a905)),x99522),f328(f328(f43(x99523,f918(x99521,a905)),x99524),x99525)))
% 28.33/28.21 [10015]~P107(f328(f328(f330(x100151),f508(x100155,x100154,x100153,x100152,x100151)),f509(x100155,x100154,x100153,x100152,x100151)))+~P107(f328(f65(x100151,x100152,f328(f328(f310(x100151),x100153),x100154)),x100155))
% 28.33/28.21 [10016]~P107(f328(f328(f330(x100161),f514(x100165,x100164,x100163,x100162,x100161)),f515(x100165,x100164,x100163,x100162,x100161)))+~P107(f328(f65(x100161,x100162,f328(f328(f310(x100161),x100163),x100164)),x100165))
% 28.33/28.21 [10017]~P107(f328(f328(f330(f917(x100171,x100171)),f328(f328(f256(x100171,x100171),x100172),x100175)),f328(f328(f185(f917(x100171,x100171),a905),f328(a116,x100174)),x100173)))+P107(f328(f328(f330(f917(x100171,x100171)),f328(f328(f256(x100171,x100171),x100172),f735(x100173,x100174,x100175,x100172,x100171))),f328(f328(f185(f917(x100171,x100171),a905),x100174),x100173)))
% 28.33/28.21 [10023]P107(f328(f69(x100231,x100231,x100232,f508(x100233,x100234,x100235,x100232,x100231),f509(x100233,x100234,x100235,x100232,x100231)),x100233))+~P107(f328(f65(x100231,x100232,f328(f328(f310(x100231),x100235),x100234)),x100233))
% 28.33/28.21 [10024]P107(f328(f69(x100241,x100241,x100242,f514(x100243,x100244,x100245,x100242,x100241),f515(x100243,x100244,x100245,x100242,x100241)),x100243))+~P107(f328(f65(x100241,x100242,f328(f328(f310(x100241),x100245),x100244)),x100243))
% 28.33/28.21 [10035]~P109(x100351)+P18(x100351,f328(f328(f156(x100352,x100351),x100353),f328(f138(x100352,f328(f328(f9(x100352,x100351,a905),f328(f328(f10(x100351,f918(x100351,a905),x100352),a325),x100353)),f328(x100354,x100355))),x100355)))
% 28.33/28.21 [10074]~P107(f328(f328(f330(x100742),x100745),f328(f287(x100741,x100742,x100744),x100743)))+P107(f328(f328(f330(f917(x100741,x100742)),f328(f328(f256(x100741,x100742),f343(x100743,x100744,x100741,x100745,x100742)),x100745)),x100744))
% 28.33/28.21 [10075]~P107(f328(f328(f330(x100752),x100755),f328(f287(x100751,x100752,x100754),x100753)))+P107(f328(f328(f330(f917(x100751,x100752)),f328(f328(f256(x100751,x100752),f348(x100753,x100754,x100751,x100755,x100752)),x100755)),x100754))
% 28.33/28.21 [10095]~P107(f328(f328(f330(f917(x100951,x100951)),f328(f328(f256(x100951,x100951),x100955),x100954)),f328(f328(f185(f917(x100951,x100951),a905),f328(a116,x100953)),x100952)))+P107(f328(f328(f330(f917(x100951,x100951)),f328(f328(f256(x100951,x100951),f735(x100952,x100953,x100954,x100955,x100951)),x100954)),x100952))
% 28.33/28.21 [10098]~P107(f328(f328(f330(f917(x100981,x100981)),f328(f328(f256(x100981,x100981),x100985),x100984)),f328(f328(f185(f917(x100981,x100981),a905),f328(a116,x100983)),x100982)))+P107(f328(f328(f330(f917(x100981,x100981)),f328(f328(f256(x100981,x100981),f732(x100982,x100983,x100984,x100985,x100981)),x100984)),f328(f328(f185(f917(x100981,x100981),a905),x100983),x100982)))
% 28.33/28.21 [10099]~P107(f328(f328(f330(f917(x100991,x100991)),f328(f328(f256(x100991,x100991),x100995),x100994)),f328(f328(f185(f917(x100991,x100991),a905),f328(a116,x100993)),x100992)))+P107(f328(f328(f330(f917(x100991,x100991)),f328(f328(f256(x100991,x100991),f734(x100992,x100993,x100994,x100995,x100991)),x100994)),f328(f328(f185(f917(x100991,x100991),a905),x100993),x100992)))
% 28.33/28.21 [10100]~P107(f328(f328(f330(f917(f912(x101001),f912(x101001))),f328(f328(f256(f912(x101001),f912(x101001)),x101005),f328(f328(f153(x101001),x101004),x101003))),f160(x101001,x101002)))+P107(f328(f328(f330(f917(x101001,x101001)),f328(f328(f256(x101001,x101001),f572(x101002,x101003,x101004,x101005,x101001)),x101004)),x101002))
% 28.33/28.21 [7707]~E(x77073,f190(f918(x77072,a905)))+E(f328(f328(f105(f918(x77071,a905)),f328(f328(f42(x77072,f918(x77071,a905)),x77073),x77074)),x77075),x77075)
% 28.33/28.21 [7708]~E(x77083,f190(f918(x77082,a905)))+E(f328(f328(f106(f918(x77081,a905)),f328(f328(f43(x77082,f918(x77081,a905)),x77083),x77084)),x77085),x77085)
% 28.33/28.21 [7759]~P114(x77591)+E(f328(f328(f84(x77591),f328(f328(f84(x77591),x77592),x77593)),f328(f328(f84(x77591),x77594),x77595)),f328(f328(f84(x77591),x77594),f328(f328(f84(x77591),f328(f328(f84(x77591),x77592),x77593)),x77595)))
% 28.33/28.21 [8142]~E(x81423,f190(f918(x81422,a905)))+E(f328(f328(f3(f918(x81421,a905)),f328(f328(f43(x81422,f918(x81421,a905)),x81423),x81424)),x81425),f328(f328(f3(f918(x81421,a905)),f246(f918(x81421,a905))),x81425))
% 28.33/28.21 [8277]E(f328(f328(f161(x82771,f328(f328(f136(x82771),x82772),x82773)),x82774),x82775),f328(f328(f136(x82771),f328(f328(f161(x82771,x82772),x82774),x82775)),x82773))+~P107(f328(f328(f240(a911),x82774),f328(f191(f912(x82771)),x82772)))
% 28.33/28.21 [8278]E(f328(f328(f161(x82781,f328(f328(f136(x82781),x82782),x82783)),x82784),x82785),f328(f328(f136(x82781),f328(f328(f161(x82781,x82782),x82784),x82785)),x82783))+~P107(f328(f328(f240(a911),x82784),f328(f191(f912(x82781)),x82782)))
% 28.33/28.21 [8549]E(f328(f328(f166(x85491),f328(f328(f156(a911,x85491),x85492),f141(a911,f328(f303(a911,x85493),x85494)))),x85495),f328(x85492,f328(f328(f83(a911),x85493),x85495)))+~P107(f328(f328(f240(a911),x85495),f328(f328(f3(a911),x85494),x85493)))
% 28.33/28.21 [8563]E(x85631,f2(a103))+E(f125(x85632,x85633,f328(x85634,f328(f328(f3(a103),x85631),f81(a103))),f328(f328(f9(x85632,a103,f913(f915(x85633))),x85635),x85631)),f328(f200(x85632,x85633,x85634,x85635),x85631))
% 28.33/28.21 [8588]~E(x85883,f190(f918(x85881,a905)))+E(f328(f328(f42(x85881,f918(x85882,a905)),x85883),f328(f328(f10(f918(x85882,a905),f918(x85882,a905),x85881),f328(f105(f918(x85882,a905)),x85884)),x85885)),f190(f918(x85882,a905)))
% 28.33/28.21 [8589]~E(x85893,f190(f918(x85891,a905)))+E(f328(f328(f43(x85891,f918(x85892,a905)),x85893),f328(f328(f10(f918(x85892,a905),f918(x85892,a905),x85891),f328(f3(f918(x85892,a905)),x85894)),x85895)),f246(f918(x85892,a905)))
% 28.33/28.21 [8590]~E(x85903,f190(f918(x85901,a905)))+E(f328(f328(f43(x85901,f918(x85902,a905)),x85903),f328(f328(f10(f918(x85902,a905),f918(x85902,a905),x85901),f328(f106(f918(x85902,a905)),x85904)),x85905)),f246(f918(x85902,a905)))
% 28.33/28.21 [8595]~P144(x85952)+E(f328(f328(f8(x85951,x85952),f328(f328(f10(x85952,x85952,x85951),f328(f84(x85952),x85953)),x85954)),x85955),f328(f328(f84(x85952),x85953),f328(f328(f8(x85951,x85952),x85954),x85955)))
% 28.33/28.21 [8878]E(x88781,f190(f918(x88782,a905)))+E(f328(f328(f43(x88782,f918(x88783,a905)),x88781),f328(f328(f10(f918(x88783,a905),f918(x88783,a905),x88782),f328(f3(f918(x88783,a905)),x88784)),x88785)),f328(f328(f3(f918(x88783,a905)),x88784),f328(f328(f42(x88782,f918(x88783,a905)),x88781),x88785)))
% 28.33/28.21 [8879]E(x88791,f190(f918(x88792,a905)))+E(f328(f328(f42(x88792,f918(x88793,a905)),x88791),f328(f328(f10(f918(x88793,a905),f918(x88793,a905),x88792),f328(f105(f918(x88793,a905)),x88794)),x88795)),f328(f328(f105(f918(x88793,a905)),x88794),f328(f328(f42(x88792,f918(x88793,a905)),x88791),x88795)))
% 28.33/28.21 [8880]E(x88801,f190(f918(x88802,a905)))+E(f328(f328(f43(x88802,f918(x88803,a905)),x88801),f328(f328(f10(f918(x88803,a905),f918(x88803,a905),x88802),f328(f106(f918(x88803,a905)),x88804)),x88805)),f328(f328(f106(f918(x88803,a905)),x88804),f328(f328(f43(x88802,f918(x88803,a905)),x88801),x88805)))
% 28.33/28.21 [8881]E(x88811,f190(f918(x88812,a905)))+E(f328(f328(f42(x88812,f918(x88813,a905)),x88811),f328(f328(f10(f918(x88813,a905),f918(x88813,a905),x88812),f328(f105(f918(x88813,a905)),x88814)),x88815)),f328(f328(f105(f918(x88813,a905)),x88814),f328(f328(f42(x88812,f918(x88813,a905)),x88811),x88815)))
% 28.33/28.21 [8882]E(x88821,f190(f918(x88822,a905)))+E(f328(f328(f43(x88822,f918(x88823,a905)),x88821),f328(f328(f10(f918(x88823,a905),f918(x88823,a905),x88822),f328(f3(f918(x88823,a905)),x88824)),x88825)),f328(f328(f3(f918(x88823,a905)),x88824),f328(f328(f42(x88822,f918(x88823,a905)),x88821),x88825)))
% 28.33/28.21 [8883]E(x88831,f190(f918(x88832,a905)))+E(f328(f328(f43(x88832,f918(x88833,a905)),x88831),f328(f328(f10(f918(x88833,a905),f918(x88833,a905),x88832),f328(f106(f918(x88833,a905)),x88834)),x88835)),f328(f328(f106(f918(x88833,a905)),x88834),f328(f328(f43(x88832,f918(x88833,a905)),x88831),x88835)))
% 28.33/28.21 [9078]~P107(f328(f328(f240(a911),f328(x90784,x90782)),f328(x90784,x90783)))+P107(f328(f328(f330(f917(x90781,x90781)),f328(f328(f256(x90781,x90781),x90782),x90783)),f155(x90781,f328(f328(f153(f918(x90781,a911)),x90784),x90785))))
% 28.33/28.21 [9079]~P107(f328(f328(f240(a911),f328(x90794,x90792)),f328(x90794,x90793)))+P107(f328(f328(f330(f917(x90791,x90791)),f328(f328(f256(x90791,x90791),x90792),x90793)),f155(x90791,f328(f328(f153(f918(x90791,a911)),x90794),x90795))))
% 28.33/28.21 [9348]~P30(x93482,x93481,x93483,f328(f328(f105(f918(x93482,a905)),x93484),x93485))+E(f328(f328(f106(f918(x93481,a905)),f328(f311(x93482,x93481,x93483),f328(f328(f3(f918(x93482,a905)),x93484),x93485))),f328(f311(x93482,x93481,x93483),f328(f328(f3(f918(x93482,a905)),x93485),x93484))),f190(f918(x93481,a905)))
% 28.33/28.21 [9592]~P30(x95923,x95921,x95925,f246(f918(x95923,a905)))+E(f328(f76(x95921,x95922,x95923,f328(f76(x95923,x95922,x95921,x95924),f95(x95923,x95921,f246(f918(x95923,a905)),x95925))),x95925),x95924)
% 28.33/28.21 [9623]~P107(f328(f328(f239(f918(x96233,a905)),f328(f287(x96231,x96233,x96234),x96232)),x96235))+P107(f328(f328(f239(f918(x96231,a905)),x96232),f328(f82(f918(x96231,a905)),f328(f287(x96233,x96231,f328(f288(x96231,x96233),x96234)),f328(f82(f918(x96233,a905)),x96235)))))
% 28.33/28.21 [9646]~P30(x96461,x96462,x96463,f328(f328(f310(x96461),x96464),x96465))+~P107(f328(f328(f330(x96462),f328(x96463,x96464)),f328(f311(x96461,x96462,x96463),f328(f328(f3(f918(x96461,a905)),x96465),f328(f328(f310(x96461),x96464),f190(f918(x96461,a905)))))))
% 28.33/28.21 [9697]P107(f328(f328(f239(f918(x96971,a905)),f328(f287(x96972,x96971,x96973),x96974)),x96975))+~P107(f328(f328(f239(f918(x96972,a905)),x96974),f328(f82(f918(x96972,a905)),f328(f287(x96971,x96972,f328(f288(x96972,x96971),x96973)),f328(f82(f918(x96971,a905)),x96975)))))
% 28.33/28.21 [9769]~P86(x97691)+P107(f328(f328(f239(x97691),f328(f79(x97691),f328(f328(f3(x97691),f328(f328(f83(x97691),x97692),x97693)),f328(f328(f83(x97691),x97694),x97695)))),f328(f328(f83(x97691),f328(f79(x97691),f328(f328(f3(x97691),x97692),x97694))),f328(f79(x97691),f328(f328(f3(x97691),x97693),x97695)))))
% 28.33/28.21 [9875]P107(f328(f328(f330(x98751),f400(x98752,x98753,x98754,x98751,x98755)),x98754))+P107(f328(f328(f239(f918(x98755,a905)),f328(f328(f42(x98751,f918(x98755,a905)),x98754),x98753)),x98752))
% 28.33/28.21 [10053]~P107(f328(f328(f239(f918(x100531,a905)),f328(x100534,f400(x100535,x100534,x100533,x100532,x100531))),x100535))+P107(f328(f328(f239(f918(x100531,a905)),f328(f328(f42(x100532,f918(x100531,a905)),x100533),x100534)),x100535))
% 28.33/28.21 [8704]E(f328(f328(f136(x87041),x87042),f328(f328(f161(x87041,x87043),f328(f328(f3(a911),x87044),f328(f191(f912(x87041)),x87042))),x87045)),f328(f328(f161(x87041,f328(f328(f136(x87041),x87042),x87043)),x87044),x87045))+P107(f328(f328(f240(a911),x87044),f328(f191(f912(x87041)),x87042)))
% 28.33/28.21 [8730]~P143(x87301)+E(f328(f328(f83(x87301),f328(f328(f84(x87301),x87302),x87303)),f328(f328(f83(x87301),f328(f328(f84(x87301),x87304),x87303)),x87305)),f328(f328(f83(x87301),f328(f328(f84(x87301),f328(f328(f83(x87301),x87302),x87304)),x87303)),x87305))
% 28.33/28.21 [9303]~P144(x93031)+E(f328(f167(x93031),f328(f328(f156(x93032,x93031),f328(f328(f10(x93031,x93031,x93032),f328(f84(x93031),x93033)),x93034)),x93035)),f328(f328(f84(x93031),x93033),f328(f167(x93031),f328(f328(f156(x93032,x93031),x93034),x93035))))
% 28.33/28.21 [9468]E(f328(f191(f912(x94681)),f328(f328(f177(x94681),f328(f328(f243(a911),f328(f191(f912(x94681)),x94682)),f328(f191(f912(x94683)),x94684))),x94682)),f328(f191(f912(x94683)),f328(f328(f177(x94683),f328(f328(f243(a911),f328(f191(f912(x94681)),x94682)),f328(f191(f912(x94683)),x94684))),x94684)))+P107(f328(x94685,f328(f328(f183(x94681,x94683),x94682),x94684)))
% 28.33/28.21 [9707]~P144(x97072)+E(f328(f328(f8(x97071,x97072),f328(f328(f9(x97071,x97072,x97072),f328(f328(f10(x97072,f918(x97072,x97072),x97071),f84(x97072)),x97073)),x97074)),x97075),f328(f328(f84(x97072),f328(f328(f8(x97071,x97072),x97073),x97075)),x97074))
% 28.33/28.21 [9708]~P70(x97082)+E(f328(f328(f8(x97081,x97082),f328(f328(f9(x97081,x97082,x97082),f328(f328(f10(x97082,f918(x97082,x97082),x97081),f291(x97082)),x97083)),x97084)),x97085),f328(f328(f291(x97082),f328(f328(f8(x97081,x97082),x97083),x97085)),x97084))
% 28.33/28.21 [9715]~P78(x97152)+E(f328(f328(f11(x97151,x97152),f328(f328(f20(x97151,x97152,x97152),f328(f328(f10(x97152,f918(x97152,x97152),x97151),f84(x97152)),x97153)),x97154)),x97155),f328(f328(f84(x97152),f328(f328(f11(x97151,x97152),x97153),x97155)),f328(f328(f11(x97151,x97152),x97154),x97155)))
% 28.33/28.21 [9716]~P76(x97162)+E(f328(f328(f8(x97161,x97162),f328(f328(f20(x97161,x97162,x97162),f328(f328(f10(x97162,f918(x97162,x97162),x97161),f83(x97162)),x97163)),x97164)),x97165),f328(f328(f83(x97162),f328(f328(f8(x97161,x97162),x97163),x97165)),f328(f328(f8(x97161,x97162),x97164),x97165)))
% 28.33/28.21 [9717]~P7(x97172)+E(f328(f328(f8(x97171,x97172),f328(f328(f20(x97171,x97172,x97172),f328(f328(f10(x97172,f918(x97172,x97172),x97171),f3(x97172)),x97173)),x97174)),x97175),f328(f328(f3(x97172),f328(f328(f8(x97171,x97172),x97173),x97175)),f328(f328(f8(x97171,x97172),x97174),x97175)))
% 28.33/28.21 [9755]~E(x97553,f190(f918(x97551,a905)))+E(f328(f328(f42(x97551,f918(x97552,a905)),x97553),f328(f328(f9(x97551,f918(x97552,a905),f918(x97552,a905)),f328(f328(f10(f918(x97552,a905),f918(f918(x97552,a905),f918(x97552,a905)),x97551),f105(f918(x97552,a905))),x97554)),x97555)),f190(f918(x97552,a905)))
% 28.33/28.21 [9756]~E(x97563,f190(f918(x97561,a905)))+E(f328(f328(f43(x97561,f918(x97562,a905)),x97563),f328(f328(f9(x97561,f918(x97562,a905),f918(x97562,a905)),f328(f328(f10(f918(x97562,a905),f918(f918(x97562,a905),f918(x97562,a905)),x97561),f3(f918(x97562,a905))),x97564)),x97565)),f246(f918(x97562,a905)))
% 28.33/28.21 [9757]~E(x97573,f190(f918(x97571,a905)))+E(f328(f328(f43(x97571,f918(x97572,a905)),x97573),f328(f328(f9(x97571,f918(x97572,a905),f918(x97572,a905)),f328(f328(f10(f918(x97572,a905),f918(f918(x97572,a905),f918(x97572,a905)),x97571),f106(f918(x97572,a905))),x97574)),x97575)),f246(f918(x97572,a905)))
% 28.33/28.21 [9774]E(x97741,f190(f918(x97742,a905)))+E(f328(f328(f43(x97742,f918(x97743,a905)),x97741),f328(f328(f9(x97742,f918(x97743,a905),f918(x97743,a905)),f328(f328(f10(f918(x97743,a905),f918(f918(x97743,a905),f918(x97743,a905)),x97742),f3(f918(x97743,a905))),x97744)),x97745)),f328(f328(f3(f918(x97743,a905)),f328(f328(f43(x97742,f918(x97743,a905)),x97741),x97744)),x97745))
% 28.33/28.21 [9775]E(x97751,f190(f918(x97752,a905)))+E(f328(f328(f42(x97752,f918(x97753,a905)),x97751),f328(f328(f9(x97752,f918(x97753,a905),f918(x97753,a905)),f328(f328(f10(f918(x97753,a905),f918(f918(x97753,a905),f918(x97753,a905)),x97752),f105(f918(x97753,a905))),x97754)),x97755)),f328(f328(f105(f918(x97753,a905)),f328(f328(f42(x97752,f918(x97753,a905)),x97751),x97754)),x97755))
% 28.33/28.21 [9776]E(x97761,f190(f918(x97762,a905)))+E(f328(f328(f43(x97762,f918(x97763,a905)),x97761),f328(f328(f9(x97762,f918(x97763,a905),f918(x97763,a905)),f328(f328(f10(f918(x97763,a905),f918(f918(x97763,a905),f918(x97763,a905)),x97762),f106(f918(x97763,a905))),x97764)),x97765)),f328(f328(f106(f918(x97763,a905)),f328(f328(f43(x97762,f918(x97763,a905)),x97761),x97764)),x97765))
% 28.33/28.21 [9777]E(x97771,f190(f918(x97772,a905)))+E(f328(f328(f42(x97772,f918(x97773,a905)),x97771),f328(f328(f9(x97772,f918(x97773,a905),f918(x97773,a905)),f328(f328(f10(f918(x97773,a905),f918(f918(x97773,a905),f918(x97773,a905)),x97772),f105(f918(x97773,a905))),x97774)),x97775)),f328(f328(f105(f918(x97773,a905)),f328(f328(f42(x97772,f918(x97773,a905)),x97771),x97774)),x97775))
% 28.33/28.21 [9778]E(x97781,f190(f918(x97782,a905)))+E(f328(f328(f43(x97782,f918(x97783,a905)),x97781),f328(f328(f9(x97782,f918(x97783,a905),f918(x97783,a905)),f328(f328(f10(f918(x97783,a905),f918(f918(x97783,a905),f918(x97783,a905)),x97782),f3(f918(x97783,a905))),x97784)),x97785)),f328(f328(f3(f918(x97783,a905)),f328(f328(f43(x97782,f918(x97783,a905)),x97781),x97784)),x97785))
% 28.33/28.21 [9779]E(x97791,f190(f918(x97792,a905)))+E(f328(f328(f43(x97792,f918(x97793,a905)),x97791),f328(f328(f9(x97792,f918(x97793,a905),f918(x97793,a905)),f328(f328(f10(f918(x97793,a905),f918(f918(x97793,a905),f918(x97793,a905)),x97792),f106(f918(x97793,a905))),x97794)),x97795)),f328(f328(f106(f918(x97793,a905)),f328(f328(f43(x97792,f918(x97793,a905)),x97791),x97794)),x97795))
% 28.33/28.21 [9353]~P107(f328(f328(f239(a911),x93531),x93534))+E(f328(f328(f3(a911),f328(f328(f83(a911),f328(f328(f84(a911),x93531),x93532)),x93533)),f328(f328(f83(a911),f328(f328(f84(a911),x93534),x93532)),x93535)),f328(f328(f3(a911),x93533),f328(f328(f83(a911),f328(f328(f84(a911),f328(f328(f3(a911),x93534),x93531)),x93532)),x93535)))
% 28.33/28.21 [9926]~P144(x99261)+E(f328(f167(x99261),f328(f328(f156(x99262,x99261),f328(f328(f9(x99262,x99261,x99261),f328(f328(f10(x99261,f918(x99261,x99261),x99262),f84(x99261)),x99263)),x99264)),x99265)),f328(f328(f84(x99261),f328(f167(x99261),f328(f328(f156(x99262,x99261),x99263),x99265))),x99264))
% 28.33/28.21 [9932]~P76(x99321)+E(f328(f167(x99321),f328(f328(f156(x99322,x99321),f328(f328(f20(x99322,x99321,x99321),f328(f328(f10(x99321,f918(x99321,x99321),x99322),f83(x99321)),x99323)),x99324)),x99325)),f328(f328(f83(x99321),f328(f167(x99321),f328(f328(f156(x99322,x99321),x99323),x99325))),f328(f167(x99321),f328(f328(f156(x99322,x99321),x99324),x99325))))
% 28.33/28.21 [9933]~P7(x99331)+E(f328(f167(x99331),f328(f328(f156(x99332,x99331),f328(f328(f20(x99332,x99331,x99331),f328(f328(f10(x99331,f918(x99331,x99331),x99332),f3(x99331)),x99333)),x99334)),x99335)),f328(f328(f3(x99331),f328(f167(x99331),f328(f328(f156(x99332,x99331),x99333),x99335))),f328(f167(x99331),f328(f328(f156(x99332,x99331),x99334),x99335))))
% 28.33/28.21 [10066]P107(f328(x100661,f328(f328(f183(x100662,x100663),x100664),x100665)))+~P107(f328(x100661,f328(f328(f183(x100662,x100663),f328(f328(f177(x100662),f328(f328(f243(a911),f328(f191(f912(x100662)),x100664)),f328(f191(f912(x100663)),x100665))),x100664)),f328(f328(f177(x100663),f328(f328(f243(a911),f328(f191(f912(x100662)),x100664)),f328(f191(f912(x100663)),x100665))),x100665))))
% 28.33/28.21 [10319]~P107(f328(f328(f330(f917(x103192,x103191)),f328(f328(f256(x103192,x103191),x103194),x103195)),f328(f288(x103191,x103192),x103193)))+P107(f328(f328(f247(x103191,x103192,f328(f328(f9(x103191,f918(f917(x103191,x103192),a905),f918(x103192,a905)),f328(f328(f10(f918(x103192,f918(f918(f917(x103191,x103192),a905),a905)),f918(f918(f917(x103191,x103192),a905),f918(x103192,a905)),x103191),f9(x103192,f918(f917(x103191,x103192),a905),a905)),f328(f328(f10(f918(x103192,f917(x103191,x103192)),f918(x103192,f918(f918(f917(x103191,x103192),a905),a905)),x103191),f328(f10(f917(x103191,x103192),f918(f918(f917(x103191,x103192),a905),a905),x103192),f330(f917(x103191,x103192)))),f256(x103191,x103192)))),x103193)),x103194),x103195))
% 28.33/28.21 [10329]P107(f328(f328(f330(f917(x103291,x103292)),f328(f328(f256(x103291,x103292),x103293),x103294)),f328(f288(x103292,x103291),x103295)))+~P107(f328(f328(f247(x103292,x103291,f328(f328(f9(x103292,f918(f917(x103292,x103291),a905),f918(x103291,a905)),f328(f328(f10(f918(x103291,f918(f918(f917(x103292,x103291),a905),a905)),f918(f918(f917(x103292,x103291),a905),f918(x103291,a905)),x103292),f9(x103291,f918(f917(x103292,x103291),a905),a905)),f328(f328(f10(f918(x103291,f917(x103292,x103291)),f918(x103291,f918(f918(f917(x103292,x103291),a905),a905)),x103292),f328(f10(f917(x103292,x103291),f918(f918(f917(x103292,x103291),a905),a905),x103291),f330(f917(x103292,x103291)))),f256(x103292,x103291)))),x103295)),x103293),x103294))
% 28.33/28.21 [9591]~P107(f328(f328(f239(a911),x95914),x95911))+E(f328(f328(f3(a911),f328(f328(f83(a911),f328(f328(f84(a911),x95911),x95912)),x95913)),f328(f328(f83(a911),f328(f328(f84(a911),x95914),x95912)),x95915)),f328(f328(f3(a911),f328(f328(f83(a911),f328(f328(f84(a911),f328(f328(f3(a911),x95911),x95914)),x95912)),x95913)),x95915))
% 28.33/28.21 [10338]P29(x103381,x103382,f328(f311(a908,f910(x103381),f328(f328(f20(a908,f918(x103381,f918(a907,a905)),f910(x103381)),f328(f328(f20(a908,a906,f918(f918(x103381,f918(a907,a905)),f910(x103381))),f328(f328(f10(f918(x103381,f918(a907,a905)),f918(a906,f918(f918(x103381,f918(a907,a905)),f910(x103381))),a908),f94(x103381)),x103383)),a26)),x103384)),x103385))+~P29(x103381,f328(f328(f105(f918(f910(x103381),a905)),x103382),f328(f311(a908,f910(x103381),f328(f328(f20(a908,f918(x103381,f918(a907,a905)),f910(x103381)),f328(f328(f20(a908,a906,f918(f918(x103381,f918(a907,a905)),f910(x103381))),f328(f328(f10(f918(x103381,f918(a907,a905)),f918(a906,f918(f918(x103381,f918(a907,a905)),f910(x103381))),a908),f94(x103381)),x103383)),a26)),x103384)),x103385)),f328(f311(a908,f910(x103381),f328(f328(f20(a908,f918(x103381,f918(a907,a905)),f910(x103381)),f328(f328(f20(a908,a906,f918(f918(x103381,f918(a907,a905)),f910(x103381))),f328(f328(f10(f918(x103381,f918(a907,a905)),f918(a906,f918(f918(x103381,f918(a907,a905)),f910(x103381))),a908),f94(x103381)),x103383)),f328(f328(f10(f915(a906),a906,a908),f236(a906)),a28))),x103384)),x103385))
% 28.33/28.21 [5388]E(x53881,x53882)+~E(f29(x53883,x53884,x53881),f29(x53885,x53886,x53882))
% 28.33/28.21 [5389]E(x53891,x53892)+~E(f29(x53893,x53891,x53894),f29(x53895,x53892,x53896))
% 28.33/28.21 [5390]E(x53901,x53902)+~E(f29(x53901,x53903,x53904),f29(x53902,x53905,x53906))
% 28.33/28.21 [5391]E(x53911,x53912)+~E(f31(x53913,x53914,x53911),f31(x53915,x53916,x53912))
% 28.33/28.21 [5392]E(x53921,x53922)+~E(f31(x53923,x53921,x53924),f31(x53925,x53922,x53926))
% 28.33/28.21 [5393]E(x53931,x53932)+~E(f31(x53931,x53933,x53934),f31(x53932,x53935,x53936))
% 28.33/28.21 [5394]E(x53941,x53942)+~E(f30(x53943,x53944,x53941),f30(x53945,x53946,x53942))
% 28.33/28.21 [5395]E(x53951,x53952)+~E(f30(x53953,x53951,x53954),f30(x53955,x53952,x53956))
% 28.33/28.21 [5396]E(x53961,x53962)+~E(f30(x53961,x53963,x53964),f30(x53962,x53965,x53966))
% 28.33/28.21 [7394]E(x73941,x73942)+~E(f224(x73943,x73944,x73945,x73941),f224(x73943,x73944,x73946,x73942))
% 28.33/28.21 [7395]E(x73951,x73952)+~E(f224(x73953,x73954,x73951,x73955),f224(x73953,x73954,x73952,x73956))
% 28.33/28.21 [8532]~P24(x85325,x85321,x85322,x85326)+E(f328(f76(x85321,x85321,x85321,f328(x85322,x85323)),f328(x85322,x85324)),f328(f76(x85321,x85321,x85321,f328(x85322,x85324)),f328(x85322,x85323)))
% 28.33/28.21 [8774]~P63(x87744,x87745,x87742,x87741,x87746)+E(f328(x87741,f328(x87742,x87743)),x87743)
% 28.33/28.21 [8932]P30(x89321,x89322,x89323,x89324)+~P30(x89321,x89325,f328(f76(x89322,x89325,x89321,x89326),x89323),x89324)
% 28.33/28.21 [9001]~E(x90016,x90014)+E(f328(f78(x90011,x90012,x90013,x90014,x90015),x90016),x90015)
% 28.33/28.21 [9002]~E(x90026,x90024)+E(f328(f78(x90021,x90022,x90023,x90024,x90025),x90026),x90025)
% 28.33/28.21 [9006]E(x90061,x90062)+E(f328(f78(x90063,x90064,x90065,x90062,x90066),x90061),f328(x90065,x90061))
% 28.33/28.21 [9007]E(x90071,x90072)+E(f328(f78(x90073,x90074,x90075,x90072,x90076),x90071),f328(x90075,x90071))
% 28.33/28.21 [9008]E(x90081,x90082)+E(f328(f78(x90083,x90084,x90085,x90082,x90086),x90081),f328(x90085,x90081))
% 28.33/28.21 [9020]~P30(x90204,x90202,f328(f76(x90201,x90202,x90204,x90203),x90205),x90206)+P30(x90201,x90202,x90203,f328(f311(x90204,x90201,x90205),x90206))
% 28.33/28.21 [9718]P107(f328(f64(x97181),x97182))+~P107(f328(f69(x97181,x97183,x97184,x97185,x97182),x97186))
% 28.33/28.21 [9727]~P107(f328(f328(f330(x97274),x97273),f301(x97274,x97275,x97271,x97272,x97276)))+P107(f328(f328(x97271,x97272),x97273))
% 28.33/28.21 [9728]~P107(f328(f328(f330(x97284),x97283),f298(x97284,x97281,x97285,x97282,x97286)))+P107(f328(f328(x97281,x97282),x97283))
% 28.33/28.21 [9729]~P107(f328(f328(f330(x97294),x97292),f301(x97294,x97291,x97295,x97296,x97293)))+P107(f328(f328(x97291,x97292),x97293))
% 28.33/28.21 [9730]~P107(f328(f328(f330(x97304),x97302),f298(x97304,x97305,x97301,x97306,x97303)))+P107(f328(f328(x97301,x97302),x97303))
% 28.33/28.21 [5900]E(x59001,x59002)+~E(f328(f328(f256(x59003,x59004),x59005),x59001),f328(f328(f256(x59003,x59004),x59006),x59002))
% 28.33/28.21 [5901]E(x59011,x59012)+~E(f328(f328(f256(x59013,x59014),x59015),x59011),f328(f328(f256(x59013,x59014),x59016),x59012))
% 28.33/28.21 [5902]E(x59021,x59022)+~E(f328(f328(f256(x59023,x59024),x59021),x59025),f328(f328(f256(x59023,x59024),x59022),x59026))
% 28.33/28.21 [5903]E(x59031,x59032)+~E(f328(f328(f256(x59033,x59034),x59031),x59035),f328(f328(f256(x59033,x59034),x59032),x59036))
% 28.33/28.21 [6037]~P21(x60375,x60376,x60371)+E(f328(f328(x60371,x60372),f328(f328(x60371,x60373),x60374)),f328(f328(x60371,x60373),f328(f328(x60371,x60372),x60374)))
% 28.33/28.21 [7462]~P38(x74624,x74621,f328(f328(f153(x74624),x74622),x74625),f328(f328(f153(x74624),x74623),x74626))+P107(f328(f328(x74621,x74622),x74623))
% 28.33/28.21 [7822]P38(x78221,x78222,x78223,x78224)+~P38(x78221,x78222,f328(f328(f153(x78221),x78225),x78223),f328(f328(f153(x78221),x78226),x78224))
% 28.33/28.21 [8872]~P63(x88725,x88721,x88722,x88726,x88724)+P107(f328(f328(f330(x88721),f328(x88722,x88723)),x88724))
% 28.33/28.21 [9071]~E(x90713,f328(f328(f153(x90711),x90715),x90716))+P107(f328(f328(f330(f917(f912(x90711),f912(x90711))),f328(f328(f256(f912(x90711),f912(x90711)),x90712),f328(f328(f136(x90711),x90712),x90713))),f149(x90711,x90714)))
% 28.33/28.21 [9309]~P40(x93091,x93092,x93093,x93095,x93096)+P40(x93091,x93092,x93093,f328(f328(f177(x93091),x93094),x93095),f328(f328(f177(x93092),x93094),x93096))
% 28.33/28.21 [9310]~P40(x93101,x93102,x93103,x93105,x93106)+P40(x93101,x93102,x93103,f328(f328(f140(x93101),x93104),x93105),f328(f328(f140(x93102),x93104),x93106))
% 28.33/28.21 [9558]E(f328(f311(x95581,x95582,f78(x95581,x95582,x95583,x95584,x95585)),x95586),f328(f311(x95581,x95582,x95583),x95586))+P107(f328(f328(f330(x95581),x95584),x95586))
% 28.33/28.21 [9561]E(f328(f328(f156(x95611,x95612),f78(x95611,x95612,x95613,x95614,x95615)),x95616),f328(f328(f156(x95611,x95612),x95613),x95616))+P107(f328(f328(f330(x95611),x95614),f328(f174(x95611),x95616)))
% 28.33/28.21 [9789]~P28(x97894,x97892,x97895,x97893,x97896,x97891)+E(f328(x97891,f190(f918(x97892,a905))),x97893)
% 28.33/28.21 [10018]~E(f328(x100184,f328(f255(x100181,x100183),x100185)),f328(x100186,f328(f255(x100181,x100183),x100185)))+E(f328(f262(x100181,x100182,x100183,x100183,x100184,f35(x100183)),x100185),f328(f262(x100181,x100182,x100183,x100183,x100186,f35(x100183)),x100185))
% 28.33/28.21 [10019]~E(f328(x100194,f328(f260(x100191,x100192),x100195)),f328(x100196,f328(f260(x100191,x100192),x100195)))+E(f328(f262(x100191,x100191,x100192,x100193,f35(x100191),x100194),x100195),f328(f262(x100191,x100191,x100192,x100193,f35(x100191),x100196),x100195))
% 28.33/28.21 [10062]~E(f328(f262(x100622,x100626,x100623,x100623,x100621,f35(x100623)),x100624),f328(f262(x100622,x100626,x100623,x100623,x100625,f35(x100623)),x100624))+E(f328(x100621,f328(f255(x100622,x100623),x100624)),f328(x100625,f328(f255(x100622,x100623),x100624)))
% 28.33/28.21 [10063]~E(f328(f262(x100632,x100632,x100633,x100636,f35(x100632),x100631),x100634),f328(f262(x100632,x100632,x100633,x100636,f35(x100632),x100635),x100634))+E(f328(x100631,f328(f260(x100632,x100633),x100634)),f328(x100635,f328(f260(x100632,x100633),x100634)))
% 28.33/28.21 [8968]P107(f328(f328(f330(x89681),x89682),x89683))+~P107(f328(f328(f330(f917(x89681,x89684)),f328(f328(f256(x89681,x89684),x89682),x89685)),f328(f328(f258(x89681,x89684),x89683),x89686)))
% 28.33/28.21 [8969]P107(f328(f328(f330(x89691),x89692),x89693))+~P107(f328(f328(f330(f917(x89691,x89694)),f328(f328(f256(x89691,x89694),x89692),x89695)),f328(f328(f258(x89691,x89694),x89693),x89696)))
% 28.33/28.21 [8970]P107(f328(f328(f330(x89701),x89702),x89703))+~P107(f328(f328(f330(f917(x89701,x89704)),f328(f328(f256(x89701,x89704),x89702),x89705)),f328(f328(f258(x89701,x89704),x89703),x89706)))
% 28.33/28.21 [8983]P107(f328(f328(f330(x89831),x89832),f328(x89833,x89834)))+~P107(f328(f328(f330(f917(x89835,x89831)),f328(f328(f256(x89835,x89831),x89834),x89832)),f328(f328(f258(x89835,x89831),x89836),x89833)))
% 28.33/28.21 [8984]P107(f328(f328(f330(x89841),x89842),f328(x89843,x89844)))+~P107(f328(f328(f330(f917(x89845,x89841)),f328(f328(f256(x89845,x89841),x89844),x89842)),f328(f328(f258(x89845,x89841),x89846),x89843)))
% 28.33/28.21 [8985]P107(f328(f328(f330(x89851),x89852),f328(x89853,x89854)))+~P107(f328(f328(f330(f917(x89855,x89851)),f328(f328(f256(x89855,x89851),x89854),x89852)),f328(f328(f258(x89855,x89851),x89856),x89853)))
% 28.33/28.21 [9419]P107(f328(f328(f330(f917(x94191,x94191)),f328(f328(f256(x94191,x94191),f328(x94192,x94193)),f328(x94192,x94194))),x94195))+~P107(f328(f328(f330(f917(x94196,x94196)),f328(f328(f256(x94196,x94196),x94193),x94194)),f328(f328(f289(x94191,x94196),x94195),x94192)))
% 28.33/28.21 [9439]~P107(f328(f328(f330(f917(x94394,x94394)),f328(f328(f256(x94394,x94394),f328(x94396,x94392)),f328(x94396,x94393))),x94395))+P107(f328(f328(f330(f917(x94391,x94391)),f328(f328(f256(x94391,x94391),x94392),x94393)),f328(f328(f289(x94394,x94391),x94395),x94396)))
% 28.33/28.21 [10065]E(f328(f328(f256(x100651,x100652),f787(x100653,x100654,x100655,x100656,x100652,x100651)),f788(x100653,x100654,x100655,x100656,x100652,x100651)),x100656)+~P107(f328(f328(f330(f917(x100651,x100652)),x100656),f328(f328(f290(x100651,x100655,x100652),x100654),x100653)))
% 28.33/28.21 [10275]~P107(f328(f328(f330(f917(x102751,x102756)),x102755),f328(f328(f290(x102751,x102752,x102756),x102754),x102753)))+P107(f328(f328(f330(f917(x102751,x102752)),f328(f328(f256(x102751,x102752),f787(x102753,x102754,x102752,x102755,x102756,x102751)),f789(x102753,x102754,x102752,x102755,x102756,x102751))),x102754))
% 28.33/28.21 [10276]~P107(f328(f328(f330(f917(x102766,x102762)),x102765),f328(f328(f290(x102766,x102761,x102762),x102764),x102763)))+P107(f328(f328(f330(f917(x102761,x102762)),f328(f328(f256(x102761,x102762),f789(x102763,x102764,x102761,x102765,x102762,x102766)),f788(x102763,x102764,x102761,x102765,x102762,x102766))),x102763))
% 28.33/28.21 [7893]~P10(x78932)+E(f328(f328(f42(x78931,x78932),x78933),f328(f328(f9(x78931,x78934,x78932),x78935),x78936)),f328(f328(f328(f42(x78931,f918(x78934,x78932)),x78933),x78935),x78936))
% 28.33/28.21 [7894]~P10(x78942)+E(f328(f328(f43(x78941,x78942),x78943),f328(f328(f9(x78941,x78944,x78942),x78945),x78946)),f328(f328(f328(f43(x78941,f918(x78944,x78942)),x78943),x78945),x78946))
% 28.33/28.21 [8686]E(f328(f328(f42(x86861,f918(x86862,a905)),x86863),f328(f328(f10(f918(x86862,a905),f918(x86862,a905),x86861),f328(f310(x86862),x86864)),x86865)),f328(f328(f310(x86862),x86864),f328(f328(f42(x86861,f918(x86862,a905)),x86863),x86865)))+~P107(f328(f328(f330(x86861),x86866),x86863))
% 28.33/28.21 [8687]E(f328(f328(f43(x86871,f918(x86872,a905)),x86873),f328(f328(f10(f918(x86872,a905),f918(x86872,a905),x86871),f328(f310(x86872),x86874)),x86875)),f328(f328(f310(x86872),x86874),f328(f328(f43(x86871,f918(x86872,a905)),x86873),x86875)))+~P107(f328(f328(f330(x86871),x86876),x86873))
% 28.33/28.21 [9121]~P10(x91212)+E(f328(f328(f42(x91211,x91212),x91213),f328(f328(f10(f918(x91214,x91212),x91212,x91211),f328(f42(x91214,x91212),x91215)),f328(f9(x91214,x91211,x91212),x91216))),f328(f328(f42(x91214,x91212),x91215),f328(f328(f10(f918(x91211,x91212),x91212,x91214),f328(f42(x91211,x91212),x91213)),x91216)))
% 28.33/28.21 [9122]~P10(x91222)+E(f328(f328(f43(x91221,x91222),x91223),f328(f328(f10(f918(x91224,x91222),x91222,x91221),f328(f43(x91224,x91222),x91225)),f328(f9(x91224,x91221,x91222),x91226))),f328(f328(f43(x91224,x91222),x91225),f328(f328(f10(f918(x91221,x91222),x91222,x91224),f328(f43(x91221,x91222),x91223)),x91226)))
% 28.33/28.21 [9333]P107(f328(f328(f330(x93331),x93332),f328(f174(x93331),x93333)))+~P107(f328(f328(f330(f917(x93334,x93331)),f328(f328(f256(x93334,x93331),x93335),x93332)),f328(f174(f917(x93334,x93331)),f328(f328(f183(x93334,x93331),x93336),x93333))))
% 28.33/28.21 [9334]P107(f328(f328(f330(x93341),x93342),f328(f174(x93341),x93343)))+~P107(f328(f328(f330(f917(x93341,x93344)),f328(f328(f256(x93341,x93344),x93342),x93345)),f328(f174(f917(x93341,x93344)),f328(f328(f183(x93341,x93344),x93343),x93346))))
% 28.33/28.21 [9335]P107(f328(f328(f330(x93351),x93352),f328(f174(x93351),x93353)))+~P107(f328(f328(f330(f917(x93354,x93351)),f328(f328(f256(x93354,x93351),x93355),x93352)),f328(f174(f917(x93354,x93351)),f328(f328(f183(x93354,x93351),x93356),x93353))))
% 28.33/28.21 [9336]P107(f328(f328(f330(x93361),x93362),f328(f174(x93361),x93363)))+~P107(f328(f328(f330(f917(x93361,x93364)),f328(f328(f256(x93361,x93364),x93362),x93365)),f328(f174(f917(x93361,x93364)),f328(f328(f183(x93361,x93364),x93363),x93366))))
% 28.33/28.21 [9435]P107(f328(f328(f239(f918(x94351,a905)),f328(f287(x94352,x94351,x94353),x94354)),x94355))+~P107(f328(f328(f239(f918(f917(x94352,x94351),a905)),x94353),f328(f328(f258(x94352,x94351),x94356),f328(f18(f918(x94351,a905),x94352),x94355))))
% 28.33/28.21 [9626]P107(f328(f328(f330(f917(f912(x96261),f912(x96261))),f328(f328(f256(f912(x96261),f912(x96261)),f328(f328(f153(x96261),x96262),x96263)),f328(f328(f153(x96261),x96264),x96265))),f149(x96261,x96266)))+~P107(f328(f328(f330(f917(x96261,x96261)),f328(f328(f256(x96261,x96261),x96262),x96264)),x96266))
% 28.33/28.21 [10061]E(f328(f328(f256(x100611,x100612),f700(x100613,x100614,x100615,x100612,x100611,x100616)),f701(x100613,x100614,x100615,x100612,x100611,x100616)),x100616)+P107(f328(f328(f330(x100615),x100614),f328(f328(f261(x100611,x100612,f918(x100615,a905)),x100613),x100616)))
% 28.33/28.21 [10067]E(f328(f328(f256(x100671,x100672),f702(x100673,x100674,x100672,x100671,x100675,x100676)),f703(x100673,x100674,x100672,x100671,x100675,x100676)),x100673)+~P107(f328(f328(f330(x100676),x100675),f328(f328(f261(x100671,x100672,f918(x100676,a905)),x100674),x100673)))
% 28.33/28.21 [10226]P107(f328(f328(f330(x102261),x102262),f328(f328(x102263,f702(x102264,x102263,x102265,x102266,x102262,x102261)),f703(x102264,x102263,x102265,x102266,x102262,x102261))))+~P107(f328(f328(f330(x102261),x102262),f328(f328(f261(x102266,x102265,f918(x102261,a905)),x102263),x102264)))
% 28.33/28.21 [10250]~P107(f328(f328(f330(x102501),x102502),f328(f328(x102505,f700(x102505,x102502,x102501,x102504,x102503,x102506)),f701(x102505,x102502,x102501,x102504,x102503,x102506))))+P107(f328(f328(f330(x102501),x102502),f328(f328(f261(x102503,x102504,f918(x102501,a905)),x102505),x102506)))
% 28.33/28.21 [8580]E(x85801,x85802)+E(f328(f328(f161(x85803,f328(f328(f161(x85803,x85804),x85801),x85805)),x85802),x85806),f328(f328(f161(x85803,f328(f328(f161(x85803,x85804),x85802),x85806)),x85801),x85805))
% 28.33/28.21 [9682]~P107(f328(f328(f330(x96823),x96826),x96825))+E(f328(f328(f310(x96821),x96822),f328(f311(x96823,x96821,x96824),f328(f328(f3(f918(x96823,a905)),x96825),f328(f328(f310(x96823),x96826),f190(f918(x96823,a905)))))),f328(f311(x96823,x96821,f78(x96823,x96821,x96824,x96826,x96822)),x96825))
% 28.33/28.21 [9201]~P107(f328(f328(x92014,x92015),x92016))+P107(f328(f328(f328(f328(f105(f918(x92011,f918(x92012,a905))),x92013),x92014),x92015),x92016))
% 28.33/28.21 [9202]~P107(f328(f328(x92024,x92025),x92026))+P107(f328(f328(f328(f328(f105(f918(x92021,f918(x92022,a905))),x92023),x92024),x92025),x92026))
% 28.33/28.21 [9203]~P107(f328(f328(x92033,x92035),x92036))+P107(f328(f328(f328(f328(f105(f918(x92031,f918(x92032,a905))),x92033),x92034),x92035),x92036))
% 28.33/28.21 [9204]~P107(f328(f328(x92043,x92045),x92046))+P107(f328(f328(f328(f328(f105(f918(x92041,f918(x92042,a905))),x92043),x92044),x92045),x92046))
% 28.33/28.21 [9487]P107(f328(f328(x94871,x94872),x94873))+~P107(f328(f328(f328(f328(f106(f918(x94874,f918(x94875,a905))),x94876),x94871),x94872),x94873))
% 28.33/28.21 [9488]P107(f328(f328(x94881,x94882),x94883))+~P107(f328(f328(f328(f328(f106(f918(x94884,f918(x94885,a905))),x94881),x94886),x94882),x94883))
% 28.33/28.21 [9489]P107(f328(f328(x94891,x94892),x94893))+~P107(f328(f328(f328(f328(f106(f918(x94894,f918(x94895,a905))),x94896),x94891),x94892),x94893))
% 28.33/28.21 [9490]P107(f328(f328(x94901,x94902),x94903))+~P107(f328(f328(f328(f328(f106(f918(x94904,f918(x94905,a905))),x94901),x94906),x94902),x94903))
% 28.33/28.21 [9914]~P78(x99142)+E(f328(f328(f11(x99141,x99142),f328(f328(f9(x99141,f918(x99143,a905),x99142),f328(f328(f10(f918(x99143,x99142),f918(f918(x99143,a905),x99142),x99141),f11(x99143,x99142)),x99144)),x99145)),x99146),f328(f328(f11(f917(x99141,x99143),x99142),f328(f261(x99141,x99143,x99142),x99144)),f328(f328(f258(x99141,x99143),x99146),f328(f18(f918(x99143,a905),x99141),x99145))))
% 28.33/28.21 [9915]~P76(x99152)+E(f328(f328(f8(x99151,x99152),f328(f328(f9(x99151,f918(x99153,a905),x99152),f328(f328(f10(f918(x99153,x99152),f918(f918(x99153,a905),x99152),x99151),f8(x99153,x99152)),x99154)),x99155)),x99156),f328(f328(f8(f917(x99151,x99153),x99152),f328(f261(x99151,x99153,x99152),x99154)),f328(f328(f258(x99151,x99153),x99156),f328(f18(f918(x99153,a905),x99151),x99155))))
% 28.33/28.21 [10044]~P76(x100442)+E(f328(f328(f8(x100441,x100442),f328(f328(f9(x100441,f918(x100443,a905),x100442),f328(f328(f10(f918(x100443,x100442),f918(f918(x100443,a905),x100442),x100441),f8(x100443,x100442)),f328(f9(x100443,x100441,x100442),x100444))),x100445)),x100446),f328(f328(f8(x100443,x100442),f328(f328(f9(x100443,f918(x100441,a905),x100442),f328(f328(f10(f918(x100441,x100442),f918(f918(x100441,a905),x100442),x100443),f8(x100441,x100442)),x100444)),x100446)),x100445))
% 28.33/28.21 [10341]~P107(f328(f328(f330(f917(x103411,x103412)),f328(f328(f256(x103411,x103412),x103415),x103416)),f328(f328(f105(f918(f917(x103411,x103412),a905)),x103413),x103414)))+P107(f328(f328(f328(f328(f105(f918(x103411,f918(x103412,a905))),f328(f328(f9(x103411,f918(f917(x103411,x103412),a905),f918(x103412,a905)),f328(f328(f10(f918(x103412,f918(f918(f917(x103411,x103412),a905),a905)),f918(f918(f917(x103411,x103412),a905),f918(x103412,a905)),x103411),f9(x103412,f918(f917(x103411,x103412),a905),a905)),f328(f328(f10(f918(x103412,f917(x103411,x103412)),f918(x103412,f918(f918(f917(x103411,x103412),a905),a905)),x103411),f328(f10(f917(x103411,x103412),f918(f918(f917(x103411,x103412),a905),a905),x103412),f330(f917(x103411,x103412)))),f256(x103411,x103412)))),x103413)),f328(f328(f9(x103411,f918(f917(x103411,x103412),a905),f918(x103412,a905)),f328(f328(f10(f918(x103412,f918(f918(f917(x103411,x103412),a905),a905)),f918(f918(f917(x103411,x103412),a905),f918(x103412,a905)),x103411),f9(x103412,f918(f917(x103411,x103412),a905),a905)),f328(f328(f10(f918(x103412,f917(x103411,x103412)),f918(x103412,f918(f918(f917(x103411,x103412),a905),a905)),x103411),f328(f10(f917(x103411,x103412),f918(f918(f917(x103411,x103412),a905),a905),x103412),f330(f917(x103411,x103412)))),f256(x103411,x103412)))),x103414)),x103415),x103416))
% 28.33/28.21 [10342]~P107(f328(f328(f330(f917(x103421,x103422)),f328(f328(f256(x103421,x103422),x103425),x103426)),f328(f328(f106(f918(f917(x103421,x103422),a905)),x103423),x103424)))+P107(f328(f328(f328(f328(f106(f918(x103421,f918(x103422,a905))),f328(f328(f9(x103421,f918(f917(x103421,x103422),a905),f918(x103422,a905)),f328(f328(f10(f918(x103422,f918(f918(f917(x103421,x103422),a905),a905)),f918(f918(f917(x103421,x103422),a905),f918(x103422,a905)),x103421),f9(x103422,f918(f917(x103421,x103422),a905),a905)),f328(f328(f10(f918(x103422,f917(x103421,x103422)),f918(x103422,f918(f918(f917(x103421,x103422),a905),a905)),x103421),f328(f10(f917(x103421,x103422),f918(f918(f917(x103421,x103422),a905),a905),x103422),f330(f917(x103421,x103422)))),f256(x103421,x103422)))),x103423)),f328(f328(f9(x103421,f918(f917(x103421,x103422),a905),f918(x103422,a905)),f328(f328(f10(f918(x103422,f918(f918(f917(x103421,x103422),a905),a905)),f918(f918(f917(x103421,x103422),a905),f918(x103422,a905)),x103421),f9(x103422,f918(f917(x103421,x103422),a905),a905)),f328(f328(f10(f918(x103422,f917(x103421,x103422)),f918(x103422,f918(f918(f917(x103421,x103422),a905),a905)),x103421),f328(f10(f917(x103421,x103422),f918(f918(f917(x103421,x103422),a905),a905),x103422),f330(f917(x103421,x103422)))),f256(x103421,x103422)))),x103424)),x103425),x103426))
% 28.33/28.21 [10348]P107(f328(f328(f330(f917(x103481,x103482)),f328(f328(f256(x103481,x103482),x103483),x103484)),f328(f328(f105(f918(f917(x103481,x103482),a905)),x103485),x103486)))+~P107(f328(f328(f328(f328(f105(f918(x103481,f918(x103482,a905))),f328(f328(f9(x103481,f918(f917(x103481,x103482),a905),f918(x103482,a905)),f328(f328(f10(f918(x103482,f918(f918(f917(x103481,x103482),a905),a905)),f918(f918(f917(x103481,x103482),a905),f918(x103482,a905)),x103481),f9(x103482,f918(f917(x103481,x103482),a905),a905)),f328(f328(f10(f918(x103482,f917(x103481,x103482)),f918(x103482,f918(f918(f917(x103481,x103482),a905),a905)),x103481),f328(f10(f917(x103481,x103482),f918(f918(f917(x103481,x103482),a905),a905),x103482),f330(f917(x103481,x103482)))),f256(x103481,x103482)))),x103485)),f328(f328(f9(x103481,f918(f917(x103481,x103482),a905),f918(x103482,a905)),f328(f328(f10(f918(x103482,f918(f918(f917(x103481,x103482),a905),a905)),f918(f918(f917(x103481,x103482),a905),f918(x103482,a905)),x103481),f9(x103482,f918(f917(x103481,x103482),a905),a905)),f328(f328(f10(f918(x103482,f917(x103481,x103482)),f918(x103482,f918(f918(f917(x103481,x103482),a905),a905)),x103481),f328(f10(f917(x103481,x103482),f918(f918(f917(x103481,x103482),a905),a905),x103482),f330(f917(x103481,x103482)))),f256(x103481,x103482)))),x103486)),x103483),x103484))
% 28.33/28.21 [10349]P107(f328(f328(f330(f917(x103491,x103492)),f328(f328(f256(x103491,x103492),x103493),x103494)),f328(f328(f106(f918(f917(x103491,x103492),a905)),x103495),x103496)))+~P107(f328(f328(f328(f328(f106(f918(x103491,f918(x103492,a905))),f328(f328(f9(x103491,f918(f917(x103491,x103492),a905),f918(x103492,a905)),f328(f328(f10(f918(x103492,f918(f918(f917(x103491,x103492),a905),a905)),f918(f918(f917(x103491,x103492),a905),f918(x103492,a905)),x103491),f9(x103492,f918(f917(x103491,x103492),a905),a905)),f328(f328(f10(f918(x103492,f917(x103491,x103492)),f918(x103492,f918(f918(f917(x103491,x103492),a905),a905)),x103491),f328(f10(f917(x103491,x103492),f918(f918(f917(x103491,x103492),a905),a905),x103492),f330(f917(x103491,x103492)))),f256(x103491,x103492)))),x103495)),f328(f328(f9(x103491,f918(f917(x103491,x103492),a905),f918(x103492,a905)),f328(f328(f10(f918(x103492,f918(f918(f917(x103491,x103492),a905),a905)),f918(f918(f917(x103491,x103492),a905),f918(x103492,a905)),x103491),f9(x103492,f918(f917(x103491,x103492),a905),a905)),f328(f328(f10(f918(x103492,f917(x103491,x103492)),f918(x103492,f918(f918(f917(x103491,x103492),a905),a905)),x103491),f328(f10(f917(x103491,x103492),f918(f918(f917(x103491,x103492),a905),a905),x103492),f330(f917(x103491,x103492)))),f256(x103491,x103492)))),x103496)),x103493),x103494))
% 28.33/28.21 [10336]~P107(f328(f328(f330(f917(x103362,x103363)),f328(f328(f256(x103362,x103363),x103365),x103366)),f328(f328(f42(x103361,f918(f917(x103362,x103363),a905)),f246(f918(x103361,a905))),x103364)))+P107(f328(f328(f328(f328(f42(x103361,f918(x103362,f918(x103363,a905))),f246(f918(x103361,a905))),f328(f328(f10(f918(f917(x103362,x103363),a905),f918(x103362,f918(x103363,a905)),x103361),f328(f9(x103362,f918(f917(x103362,x103363),a905),f918(x103363,a905)),f328(f328(f10(f918(x103363,f918(f918(f917(x103362,x103363),a905),a905)),f918(f918(f917(x103362,x103363),a905),f918(x103363,a905)),x103362),f9(x103363,f918(f917(x103362,x103363),a905),a905)),f328(f328(f10(f918(x103363,f917(x103362,x103363)),f918(x103363,f918(f918(f917(x103362,x103363),a905),a905)),x103362),f328(f10(f917(x103362,x103363),f918(f918(f917(x103362,x103363),a905),a905),x103363),f330(f917(x103362,x103363)))),f256(x103362,x103363))))),x103364)),x103365),x103366))
% 28.33/28.21 [10337]~P107(f328(f328(f330(f917(x103372,x103373)),f328(f328(f256(x103372,x103373),x103375),x103376)),f328(f328(f43(x103371,f918(f917(x103372,x103373),a905)),f246(f918(x103371,a905))),x103374)))+P107(f328(f328(f328(f328(f43(x103371,f918(x103372,f918(x103373,a905))),f246(f918(x103371,a905))),f328(f328(f10(f918(f917(x103372,x103373),a905),f918(x103372,f918(x103373,a905)),x103371),f328(f9(x103372,f918(f917(x103372,x103373),a905),f918(x103373,a905)),f328(f328(f10(f918(x103373,f918(f918(f917(x103372,x103373),a905),a905)),f918(f918(f917(x103372,x103373),a905),f918(x103373,a905)),x103372),f9(x103373,f918(f917(x103372,x103373),a905),a905)),f328(f328(f10(f918(x103373,f917(x103372,x103373)),f918(x103373,f918(f918(f917(x103372,x103373),a905),a905)),x103372),f328(f10(f917(x103372,x103373),f918(f918(f917(x103372,x103373),a905),a905),x103373),f330(f917(x103372,x103373)))),f256(x103372,x103373))))),x103374)),x103375),x103376))
% 28.33/28.21 [10345]P107(f328(f328(f330(f917(x103451,x103452)),f328(f328(f256(x103451,x103452),x103453),x103454)),f328(f328(f42(x103455,f918(f917(x103451,x103452),a905)),f246(f918(x103455,a905))),x103456)))+~P107(f328(f328(f328(f328(f42(x103455,f918(x103451,f918(x103452,a905))),f246(f918(x103455,a905))),f328(f328(f10(f918(f917(x103451,x103452),a905),f918(x103451,f918(x103452,a905)),x103455),f328(f9(x103451,f918(f917(x103451,x103452),a905),f918(x103452,a905)),f328(f328(f10(f918(x103452,f918(f918(f917(x103451,x103452),a905),a905)),f918(f918(f917(x103451,x103452),a905),f918(x103452,a905)),x103451),f9(x103452,f918(f917(x103451,x103452),a905),a905)),f328(f328(f10(f918(x103452,f917(x103451,x103452)),f918(x103452,f918(f918(f917(x103451,x103452),a905),a905)),x103451),f328(f10(f917(x103451,x103452),f918(f918(f917(x103451,x103452),a905),a905),x103452),f330(f917(x103451,x103452)))),f256(x103451,x103452))))),x103456)),x103453),x103454))
% 28.33/28.21 [10346]P107(f328(f328(f330(f917(x103461,x103462)),f328(f328(f256(x103461,x103462),x103463),x103464)),f328(f328(f43(x103465,f918(f917(x103461,x103462),a905)),f246(f918(x103465,a905))),x103466)))+~P107(f328(f328(f328(f328(f43(x103465,f918(x103461,f918(x103462,a905))),f246(f918(x103465,a905))),f328(f328(f10(f918(f917(x103461,x103462),a905),f918(x103461,f918(x103462,a905)),x103465),f328(f9(x103461,f918(f917(x103461,x103462),a905),f918(x103462,a905)),f328(f328(f10(f918(x103462,f918(f918(f917(x103461,x103462),a905),a905)),f918(f918(f917(x103461,x103462),a905),f918(x103462,a905)),x103461),f9(x103462,f918(f917(x103461,x103462),a905),a905)),f328(f328(f10(f918(x103462,f917(x103461,x103462)),f918(x103462,f918(f918(f917(x103461,x103462),a905),a905)),x103461),f328(f10(f917(x103461,x103462),f918(f918(f917(x103461,x103462),a905),a905),x103462),f330(f917(x103461,x103462)))),f256(x103461,x103462))))),x103466)),x103463),x103464))
% 28.33/28.21 [7570]E(f328(x75701,f328(x75702,x75703)),f328(x75704,x75703))+~E(f328(f76(x75705,x75706,x75707,x75701),x75702),x75704)
% 28.33/28.21 [9698]E(x96981,x96982)+E(f78(x96983,x96984,f78(x96983,x96984,x96985,x96981,x96986),x96982,x96987),f78(x96983,x96984,f78(x96983,x96984,x96985,x96982,x96987),x96981,x96986))
% 28.33/28.21 [9788]~P27(x97883,x97884,x97881,x97885,x97886,x97887)+E(f328(f328(x97881,x97882),x97882),x97882)
% 28.33/28.21 [6139]~E(f328(f328(f156(x61391,x61395),x61396),x61392),f328(f328(f156(x61393,x61395),x61397),x61394))+E(f328(f191(f912(x61391)),x61392),f328(f191(f912(x61393)),x61394))
% 28.33/28.21 [8617]E(f328(x86171,f328(x86172,x86173)),f328(x86174,x86173))+~E(f328(f76(x86175,x86176,x86177,x86171),x86172),f328(f76(x86176,x86176,x86177,f35(x86176)),x86174))
% 28.33/28.21 [8959]~P40(x89594,x89595,x89591,f328(f328(f153(x89594),x89592),x89596),f328(f328(f153(x89595),x89593),x89597))+P107(f328(f328(x89591,x89592),x89593))
% 28.33/28.21 [9342]P40(x93421,x93422,x93423,x93424,x93425)+~P40(x93421,x93422,x93423,f328(f328(f153(x93421),x93426),x93424),f328(f328(f153(x93422),x93427),x93425))
% 28.33/28.21 [9948]P107(f328(f328(x99481,x99482),f553(x99483,x99482,x99484,x99481)))+~P107(f328(f328(f257(x99485,x99486,x99487,x99481,x99484),x99482),x99483))
% 28.33/28.21 [9970]P107(f328(f328(x99701,f553(x99702,x99703,x99701,x99704)),x99702))+~P107(f328(f328(f257(x99705,x99706,x99707,x99704,x99701),x99703),x99702))
% 28.33/28.21 [6185]E(x61851,x61852)+~E(f328(f328(f328(f94(x61853),x61854),x61855),x61851),f328(f328(f328(f94(x61853),x61856),x61857),x61852))
% 28.33/28.21 [6186]E(x61861,x61862)+~E(f328(f328(f328(f94(x61863),x61864),x61861),x61865),f328(f328(f328(f94(x61863),x61866),x61862),x61867))
% 28.33/28.21 [6187]E(x61871,x61872)+~E(f328(f328(f328(f94(x61873),x61871),x61874),x61875),f328(f328(f328(f94(x61873),x61872),x61876),x61877))
% 28.33/28.21 [9077]~P25(x90776,x90771,x90773,x90777)+E(f328(f76(x90771,x90771,x90772,f328(x90773,x90774)),f328(f76(x90771,x90771,x90772,f328(x90773,x90774)),x90775)),f328(f76(x90771,x90771,x90772,f328(x90773,x90774)),x90775))
% 28.33/28.21 [9442]~P40(x94423,x94422,x94424,f328(f328(f156(x94421,x94423),x94425),x94426),x94427)+P40(x94421,x94422,f328(f328(f10(x94423,f918(x94422,a905),x94421),x94424),x94425),x94426,x94427)
% 28.33/28.21 [9465]P40(x94651,x94652,x94653,f328(f328(f156(x94654,x94651),x94655),x94656),x94657)+~P40(x94654,x94652,f328(f328(f10(x94651,f918(x94652,a905),x94654),x94653),x94655),x94656,x94657)
% 28.33/28.21 [9076]~P107(f328(f328(f330(x90761),x90762),f328(f328(x90765,x90766),x90767)))+P107(f328(f328(f330(x90761),x90762),f328(f328(f261(x90763,x90764,f918(x90761,a905)),x90765),f328(f328(f256(x90763,x90764),x90766),x90767))))
% 28.33/28.21 [9364]P107(f328(f328(f328(x93641,x93642),x93643),x93644))+~P107(f328(f328(f328(f261(x93645,x93646,f918(x93647,a905)),x93641),f328(f328(f256(x93645,x93646),x93642),x93643)),x93644))
% 28.33/28.21 [9503]P107(f328(f328(f330(x95031),f328(f328(x95032,x95033),x95034)),f328(f311(f917(x95035,x95036),x95031,f328(f261(x95035,x95036,x95031),x95032)),x95037)))+~P107(f328(f328(f330(f917(x95035,x95036)),f328(f328(f256(x95035,x95036),x95033),x95034)),x95037))
% 28.33/28.21 [9835]P107(f328(f328(f330(f917(f912(x98351),f912(x98351))),f328(f328(f256(f912(x98351),f912(x98351)),f328(f328(f136(x98351),x98352),f328(f328(f153(x98351),x98353),x98354))),f328(f328(f136(x98351),x98352),f328(f328(f153(x98351),x98355),x98356)))),f149(x98351,x98357)))+~P107(f328(f328(f330(f917(x98351,x98351)),f328(f328(f256(x98351,x98351),x98353),x98355)),x98357))
% 28.33/28.21 [9897]~P40(x98971,x98973,x98974,x98976,f328(f328(f156(x98972,x98973),x98975),x98977))+P40(x98971,x98972,f328(f328(f9(x98971,f918(x98972,x98973),f918(x98972,a905)),f328(f328(f10(f918(x98973,a905),f918(f918(x98972,x98973),f918(x98972,a905)),x98971),f10(x98973,a905,x98972)),x98974)),x98975),x98976,x98977)
% 28.33/28.21 [9974]P40(x99741,x99742,x99743,x99744,f328(f328(f156(x99745,x99742),x99746),x99747))+~P40(x99741,x99745,f328(f328(f9(x99741,f918(x99745,x99742),f918(x99745,a905)),f328(f328(f10(f918(x99742,a905),f918(f918(x99745,x99742),f918(x99745,a905)),x99741),f10(x99742,a905,x99745)),x99743)),x99746),x99744,x99747)
% 28.33/28.21 [10262]P107(f328(f328(f330(x102621),f621(x102622,x102623,x102624,x102625,x102626,x102627,x102621)),x102625))+P107(f328(f328(f328(f328(f43(x102621,f918(x102627,f918(x102626,a905))),x102625),x102624),x102623),x102622))
% 28.33/28.21 [10263]P107(f328(f328(f330(x102631),f814(x102632,x102633,x102634,x102635,x102636,x102637,x102631)),x102637))+P107(f328(f328(f328(f328(f43(x102631,f918(x102633,f918(x102632,a905))),x102637),x102636),x102635),x102634))
% 28.33/28.21 [10264]P107(f328(f328(f330(x102641),f408(x102642,x102643,x102644,x102645,x102646,x102647,x102641)),x102645))+~P107(f328(f328(f328(f328(f42(x102641,f918(x102647,f918(x102646,a905))),x102645),x102644),x102643),x102642))
% 28.33/28.21 [10265]P107(f328(f328(f330(x102651),f815(x102652,x102653,x102654,x102655,x102656,x102657,x102651)),x102655))+~P107(f328(f328(f328(f328(f42(x102651,f918(x102657,f918(x102656,a905))),x102655),x102654),x102653),x102652))
% 28.33/28.21 [10298]P107(f328(f328(f328(x102981,f408(x102982,x102983,x102981,x102984,x102985,x102986,x102987)),x102983),x102982))+~P107(f328(f328(f328(f328(f42(x102987,f918(x102986,f918(x102985,a905))),x102984),x102981),x102983),x102982))
% 28.33/28.21 [10299]P107(f328(f328(f328(x102991,f815(x102992,x102993,x102991,x102994,x102995,x102996,x102997)),x102993),x102992))+~P107(f328(f328(f328(f328(f42(x102997,f918(x102996,f918(x102995,a905))),x102994),x102991),x102993),x102992))
% 28.33/28.21 [10316]~P107(f328(f328(f328(x103165,f621(x103167,x103166,x103165,x103164,x103163,x103162,x103161)),x103166),x103167))+P107(f328(f328(f328(f328(f43(x103161,f918(x103162,f918(x103163,a905))),x103164),x103165),x103166),x103167))
% 28.33/28.21 [10317]~P107(f328(f328(f328(x103175,f814(x103173,x103172,x103177,x103176,x103175,x103174,x103171)),x103176),x103177))+P107(f328(f328(f328(f328(f43(x103171,f918(x103172,f918(x103173,a905))),x103174),x103175),x103176),x103177))
% 28.33/28.21 [10335]~P107(f328(f328(f330(f917(x103351,x103353)),f328(f328(f256(x103351,x103353),x103356),x103357)),f328(f328(f290(x103351,x103352,x103353),x103354),x103355)))+P107(f328(f328(f257(x103351,x103352,x103353,f328(f328(f9(x103351,f918(f917(x103351,x103352),a905),f918(x103352,a905)),f328(f328(f10(f918(x103352,f918(f918(f917(x103351,x103352),a905),a905)),f918(f918(f917(x103351,x103352),a905),f918(x103352,a905)),x103351),f9(x103352,f918(f917(x103351,x103352),a905),a905)),f328(f328(f10(f918(x103352,f917(x103351,x103352)),f918(x103352,f918(f918(f917(x103351,x103352),a905),a905)),x103351),f328(f10(f917(x103351,x103352),f918(f918(f917(x103351,x103352),a905),a905),x103352),f330(f917(x103351,x103352)))),f256(x103351,x103352)))),x103354),f328(f328(f9(x103352,f918(f917(x103352,x103353),a905),f918(x103353,a905)),f328(f328(f10(f918(x103353,f918(f918(f917(x103352,x103353),a905),a905)),f918(f918(f917(x103352,x103353),a905),f918(x103353,a905)),x103352),f9(x103353,f918(f917(x103352,x103353),a905),a905)),f328(f328(f10(f918(x103353,f917(x103352,x103353)),f918(x103353,f918(f918(f917(x103352,x103353),a905),a905)),x103352),f328(f10(f917(x103352,x103353),f918(f918(f917(x103352,x103353),a905),a905),x103353),f330(f917(x103352,x103353)))),f256(x103352,x103353)))),x103355)),x103356),x103357))
% 28.33/28.21 [10344]P107(f328(f328(f330(f917(x103441,x103442)),f328(f328(f256(x103441,x103442),x103443),x103444)),f328(f328(f290(x103441,x103445,x103442),x103446),x103447)))+~P107(f328(f328(f257(x103441,x103445,x103442,f328(f328(f9(x103441,f918(f917(x103441,x103445),a905),f918(x103445,a905)),f328(f328(f10(f918(x103445,f918(f918(f917(x103441,x103445),a905),a905)),f918(f918(f917(x103441,x103445),a905),f918(x103445,a905)),x103441),f9(x103445,f918(f917(x103441,x103445),a905),a905)),f328(f328(f10(f918(x103445,f917(x103441,x103445)),f918(x103445,f918(f918(f917(x103441,x103445),a905),a905)),x103441),f328(f10(f917(x103441,x103445),f918(f918(f917(x103441,x103445),a905),a905),x103445),f330(f917(x103441,x103445)))),f256(x103441,x103445)))),x103446),f328(f328(f9(x103445,f918(f917(x103445,x103442),a905),f918(x103442,a905)),f328(f328(f10(f918(x103442,f918(f918(f917(x103445,x103442),a905),a905)),f918(f918(f917(x103445,x103442),a905),f918(x103442,a905)),x103445),f9(x103442,f918(f917(x103445,x103442),a905),a905)),f328(f328(f10(f918(x103442,f917(x103445,x103442)),f918(x103442,f918(f918(f917(x103445,x103442),a905),a905)),x103445),f328(f10(f917(x103445,x103442),f918(f918(f917(x103445,x103442),a905),a905),x103442),f330(f917(x103445,x103442)))),f256(x103445,x103442)))),x103447)),x103443),x103444))
% 28.33/28.21 [10274]~P144(x102742)+E(f328(f328(f8(x102741,x102742),f328(f328(f9(x102741,f918(x102743,a905),x102742),f328(f328(f10(f918(x102743,x102742),f918(f918(x102743,a905),x102742),x102741),f8(x102743,x102742)),f328(f328(f9(x102741,f918(x102743,x102742),f918(x102743,x102742)),f328(f328(f10(f918(x102742,x102742),f918(f918(x102743,x102742),f918(x102743,x102742)),x102741),f10(x102742,x102742,x102743)),f328(f328(f10(x102742,f918(x102742,x102742),x102741),f84(x102742)),x102744))),x102745))),x102746)),x102747),f328(f328(f84(x102742),f328(f328(f8(x102741,x102742),x102744),x102747)),f328(f328(f8(x102743,x102742),x102745),x102746)))
% 28.33/28.21 [9394]~P24(x93947,x93941,x93943,x93948)+E(f328(f76(x93941,x93941,x93942,f328(x93943,x93944)),f328(f76(x93941,x93941,x93942,f328(x93943,x93945)),x93946)),f328(f76(x93941,x93941,x93942,f328(x93943,x93945)),f328(f76(x93941,x93941,x93942,f328(x93943,x93944)),x93946)))
% 28.33/28.21 [10339]E(f328(f328(f256(x103391,x103392),f328(x103393,f539(x103394,x103395,x103393,x103396,x103397,x103398,x103392,x103391))),f328(x103395,f540(x103394,x103395,x103393,x103396,x103397,x103398,x103392,x103391))),x103398)+~P107(f328(f328(f330(f917(x103391,x103392)),x103398),f328(f311(f917(x103397,x103396),f917(x103391,x103392),f262(x103397,x103391,x103396,x103392,x103393,x103395)),x103394)))
% 28.33/28.21 [10353]~P107(f328(f328(f330(f917(x103538,x103537)),x103536),f328(f311(f917(x103531,x103532),f917(x103538,x103537),f262(x103531,x103538,x103532,x103537,x103535,x103534)),x103533)))+P107(f328(f328(f330(f917(x103531,x103532)),f328(f328(f256(x103531,x103532),f539(x103533,x103534,x103535,x103532,x103531,x103536,x103537,x103538)),f540(x103533,x103534,x103535,x103532,x103531,x103536,x103537,x103538))),x103533))
% 28.33/28.21 [9825]P107(f328(f328(f330(f917(f917(x98251,x98252),f917(x98251,x98252))),f328(f328(f256(f917(x98251,x98252),f917(x98251,x98252)),f328(f328(f256(x98251,x98252),x98253),x98254)),f328(f328(f256(x98251,x98252),x98255),x98256))),f320(x98251,x98252,x98257,x98258)))+~P107(f328(f328(f330(f917(x98251,x98251)),f328(f328(f256(x98251,x98251),x98253),x98255)),x98257))
% 28.33/28.21 [10328]E(f328(f144(x103281,x103282,f328(f9(x103282,x103281,x103281),x103283),f328(x103284,x103285)),x103286),f328(x103284,f328(f144(x103287,x103282,f328(f9(x103282,x103287,x103287),x103288),x103285),x103286)))+P107(f328(f328(f330(x103282),f681(x103285,x103288,x103284,x103283,x103287,x103281,x103286,x103282)),f328(f174(x103282),x103286)))
% 28.33/28.21 [10347]~E(f328(f76(x103471,x103471,x103477,f328(x103473,f681(x103475,x103478,x103474,x103473,x103477,x103471,x103476,x103472))),x103474),f328(f76(x103477,x103471,x103477,x103474),f328(x103478,f681(x103475,x103478,x103474,x103473,x103477,x103471,x103476,x103472))))+E(f328(f144(x103471,x103472,f328(f9(x103472,x103471,x103471),x103473),f328(x103474,x103475)),x103476),f328(x103474,f328(f144(x103477,x103472,f328(f9(x103472,x103477,x103477),x103478),x103475),x103476)))
% 28.33/28.21 [8621]E(f328(x86211,f328(x86212,x86213)),f328(x86214,f328(x86215,x86213)))+~E(f328(f76(x86216,x86217,x86218,x86211),x86212),f328(f76(x86219,x86217,x86218,x86214),x86215))
% 28.33/28.21 [8622]E(f328(x86221,f328(x86222,x86223)),f328(x86224,f328(x86225,x86223)))+~E(f328(f76(x86226,x86227,x86228,x86221),x86222),f328(f76(x86229,x86227,x86228,x86224),x86225))
% 28.33/28.21 [10190]P107(f328(f328(f330(f917(x101901,x101902)),f328(f328(f256(x101901,x101902),f328(x101903,x101904)),f328(x101905,x101906))),f328(f311(f917(x101907,x101908),f917(x101901,x101902),f262(x101907,x101901,x101908,x101902,x101903,x101905)),x101909)))+~P107(f328(f328(f330(f917(x101907,x101908)),f328(f328(f256(x101907,x101908),x101904),x101906)),x101909))
% 28.33/28.21 [8907]~E(f328(x89074,f328(x89075,x89076)),f328(x89079,f328(x890710,x890711)))+E(f328(f328(f76(x89071,x89072,x89073,x89074),x89075),x89076),f328(f328(f76(x89077,x89072,x89078,x89079),x890710),x890711))
% 28.33/28.21 [9475]~P24(x94758,x94759,x947510,x947511)+E(f328(f76(x94751,x94752,x94753,x94754),f328(f76(x94755,x94751,x94753,x94756),x94757)),f328(f76(x94755,x94752,x94753,f328(f76(x94751,x94752,x94755,x94754),x94756)),x94757))
% 28.33/28.21 [4705]~P109(x47051)+~P100(x47051)+E(f238(x47051),f105(x47051))
% 28.33/28.21 [4706]~P109(x47061)+~P104(x47061)+E(f243(x47061),f106(x47061))
% 28.33/28.21 [4960]~P113(x49601)+~P94(x49601)+E(f328(f79(x49601),f328(f108(x49601),a101)),f81(x49601))
% 28.33/28.21 [5245]E(x52451,f2(a1))+E(f85(a1,x52451),f328(f82(a1),f81(a1)))+P107(f328(f328(f240(a1),f2(a1)),x52451))
% 28.33/28.21 [5458]E(x54581,f2(a1))+E(f85(a1,x54581),f81(a1))+~P107(f328(f328(f240(a1),f2(a1)),x54581))
% 28.33/28.21 [6766]~P46(x67661)+~P107(f328(f64(a1),x67661))+P107(f328(f64(a911),f328(f311(a1,a911,a109),x67661)))
% 28.33/28.21 [7122]E(f50(f81(a1),f328(f108(a1),x71221)),f328(f328(f256(a1,a1),f2(a1)),f81(a1)))+~P107(f328(f328(f240(a1),f2(a1)),f328(f108(a1),x71221)))+~P107(f328(f328(f240(a1),f81(a1)),f328(f108(a1),x71221)))
% 28.33/28.21 [7466]~P46(x74661)+P107(f328(f64(a1),x74661))+~P107(f328(f64(a911),f328(f311(a1,a911,a109),x74661)))
% 28.33/28.21 [8319]E(f328(f328(f256(a1,a1),f328(f108(a1),a101)),f328(f328(f83(a1),f81(a1)),f328(f108(a1),x83191))),f53(f81(a1),f328(f108(a1),x83191)))+~P107(f328(f328(f240(a1),f2(a1)),f328(f108(a1),x83191)))+~P107(f328(f328(f239(a1),f2(a1)),f328(f328(f83(a1),f81(a1)),f328(f108(a1),x83191))))
% 28.33/28.21 [10084]E(f328(f46(f328(f108(a1),x100841)),f50(f81(a1),f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f328(f108(a1),x100841)))),f50(f81(a1),f328(f108(a1),x100841)))+~P107(f328(f328(f240(a1),f2(a1)),f328(f108(a1),x100841)))+P107(f328(f328(f240(a1),f81(a1)),f328(f108(a1),x100841)))
% 28.33/28.21 [10090]E(f328(f46(f328(f108(a1),x100901)),f53(f81(a1),f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f328(f108(a1),x100901)))),f53(f81(a1),f328(f108(a1),x100901)))+~P107(f328(f328(f240(a1),f2(a1)),f328(f108(a1),x100901)))+P107(f328(f328(f239(a1),f2(a1)),f328(f328(f83(a1),f81(a1)),f328(f108(a1),x100901))))
% 28.33/28.21 [9787]E(x97871,f190(f918(f917(a911,a911),a905)))+~P107(f328(f64(f917(a911,a911)),x97871))+P107(f328(f328(f330(f917(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905))),f328(f328(f256(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905)),f190(f918(f917(a911,a911),a905))),x97871)),a37))
% 28.33/28.21 [9949]E(x99491,f2(a911))+E(x99491,f328(a116,f2(a911)))+~P107(f328(f328(f240(a911),x99491),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))
% 28.33/28.21 [10221]E(x102211,f2(a103))+E(f328(f328(f83(a1),f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f328(a24,f328(f328(f39(a103),x102211),f328(f108(a103),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))))),f81(a1)),f328(a24,x102211))+E(f48(a103,x102211,f328(f108(a103),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f2(a103))
% 28.33/28.21 [10071]E(x100711,f2(a103))+~E(f48(a103,x100711,f328(f108(a103),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f2(a103))+E(f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f328(a24,f328(f328(f39(a103),x100711),f328(f108(a103),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))),f328(a24,x100711))
% 28.33/28.21 [4789]~P64(x47891,x47892)+P51(x47891,x47892)+~P52(a905)
% 28.33/28.21 [4717]~P108(x47171)+P35(x47171,x47172)+~E(x47172,f2(x47171))
% 28.33/28.21 [4718]~P109(x47181)+P18(x47181,x47182)+~E(x47182,f117(x47181))
% 28.33/28.21 [4727]~P113(x47271)+~E(x47272,f2(x47271))+E(f85(x47271,x47272),f2(x47271))
% 28.33/28.21 [4728]~P89(x47281)+~E(x47282,f2(x47281))+E(f85(x47281,x47282),f2(x47281))
% 28.33/28.21 [4736]~P108(x47362)+~P35(x47362,x47361)+E(x47361,f2(x47362))
% 28.33/28.21 [4781]~P113(x47812)+~E(f85(x47812,x47811),f2(x47812))+E(x47811,f2(x47812))
% 28.33/28.21 [4796]~P11(x47962)+~P11(x47961)+P11(f197(x47961,x47962))
% 28.33/28.21 [4797]~P67(x47972)+~P67(x47971)+P67(f918(x47971,x47972))
% 28.33/28.21 [4798]~P67(x47982)+~P67(x47981)+P67(f917(x47981,x47982))
% 28.33/28.21 [4799]~P67(x47992)+~P67(x47991)+P67(f919(x47991,x47992))
% 28.33/28.21 [4800]~P68(x48002)+~P68(x48001)+P68(f918(x48001,x48002))
% 28.33/28.21 [4801]~P68(x48012)+~P68(x48011)+P68(f917(x48011,x48012))
% 28.33/28.21 [4802]~P68(x48022)+~P68(x48021)+P68(f919(x48021,x48022))
% 28.33/28.21 [4803]~P105(x48032)+~P105(x48031)+P105(f917(x48031,x48032))
% 28.33/28.21 [4932]~P109(x49321)+~P18(x49321,x49322)+P18(x49321,f154(x49321,x49322))
% 28.33/28.21 [5174]~P11(x51742)+~P11(x51741)+P11(f48(a1,x51741,x51742))
% 28.33/28.21 [4737]~P75(x47371)+~E(x47372,f2(x47371))+E(f328(f82(x47371),x47372),x47372)
% 28.33/28.21 [4738]~P75(x47381)+~E(x47382,f2(x47381))+E(f328(f82(x47381),x47382),x47382)
% 28.33/28.21 [4752]~P93(x47521)+~E(x47522,f2(a1))+E(f328(f107(x47521),x47522),f2(x47521))
% 28.33/28.21 [4753]~P93(x47531)+~E(x47532,f2(a1))+E(f328(f107(x47531),x47532),f2(x47531))
% 28.33/28.21 [4754]~P140(x47541)+~E(x47542,f2(a1))+E(f328(f107(x47541),x47542),f2(x47541))
% 28.33/28.21 [4778]~P77(x47781)+~E(f2(x47781),x47782)+E(f328(f82(x47781),x47782),f2(x47781))
% 28.33/28.21 [4779]~P77(x47791)+~E(x47792,f2(x47791))+E(f328(f82(x47791),x47792),f2(x47791))
% 28.33/28.21 [4780]~P86(x47801)+~E(x47802,f2(x47801))+E(f328(f79(x47801),x47802),f2(x47801))
% 28.33/28.21 [4804]~P75(x48042)+E(x48041,f2(x48042))+~E(f328(f82(x48042),x48041),x48041)
% 28.33/28.21 [4805]~P75(x48052)+E(x48051,f2(x48052))+~E(f328(f82(x48052),x48051),x48051)
% 28.33/28.21 [4813]E(x48131,f328(a109,x48132))+~E(x48131,f2(a911))+~E(x48132,f328(f104(a1),x48131))
% 28.33/28.21 [4814]E(f328(a109,x48141),x48142)+~E(x48142,f2(a911))+~E(x48141,f328(f104(a1),x48142))
% 28.33/28.21 [4817]~P93(x48172)+E(x48171,f2(a1))+~E(f328(f107(x48172),x48171),f2(x48172))
% 28.33/28.21 [4818]~P93(x48182)+E(x48181,f2(a1))+~E(f328(f107(x48182),x48181),f2(x48182))
% 28.33/28.21 [4822]~P77(x48222)+E(x48221,f2(x48222))+~E(f328(f82(x48222),x48221),f2(x48222))
% 28.33/28.21 [4823]~P86(x48232)+E(x48231,f2(x48232))+~E(f328(f79(x48232),x48231),f2(x48232))
% 28.33/28.21 [4824]~P77(x48241)+E(f2(x48241),x48242)+~E(f328(f82(x48241),x48242),f2(x48241))
% 28.33/28.21 [5007]~P109(x50071)+~P18(x50071,x50072)+P18(x50071,f328(f173(x50071),x50072))
% 28.33/28.21 [5034]~P107(x50342)+~P107(x50341)+P107(f328(f328(a326,x50341),x50342))
% 28.33/28.21 [5068]~E(f81(a911),f2(a911))+E(f328(f38(x50681),x50682),f2(a911))+~P107(f328(f64(x50681),x50682))
% 28.33/28.21 [5104]~P117(x51041)+~P144(x51041)+E(f328(f328(f248(x51041),f2(x51041)),f328(a116,x51042)),f2(x51041))
% 28.33/28.21 [5142]~P109(x51421)+P18(x51421,f141(x51421,x51422))+~P107(f328(f64(x51421),x51422))
% 28.33/28.21 [5143]~P109(x51431)+P18(x51431,f691(x51432,x51431))+~P107(f328(f64(x51431),x51432))
% 28.33/28.21 [5166]~P109(x51661)+E(f328(f174(x51661),f141(x51661,x51662)),x51662)+~P107(f328(f64(x51661),x51662))
% 28.33/28.21 [5167]~P109(x51671)+E(f328(f174(x51671),f691(x51672,x51671)),x51672)+~P107(f328(f64(x51671),x51672))
% 28.33/28.21 [5195]P107(x51951)+P107(x51952)+~P107(f328(f328(a327,x51952),x51951))
% 28.33/28.21 [5208]E(x52081,f190(f918(x52082,a905)))+~E(f328(f38(x52082),x52081),f2(a911))+~P107(f328(f64(x52082),x52081))
% 28.33/28.21 [5213]P107(x52131)+~P107(x52132)+~P107(f328(f328(a331,x52132),x52131))
% 28.33/28.21 [5263]~P74(x52631)+E(f328(f79(x52631),x52632),x52632)+P107(f328(f328(f240(x52631),x52632),f2(x52631)))
% 28.33/28.21 [5324]~P68(x53242)+~P107(f328(f59(x53242),x53241))+P107(f328(x53241,f671(x53241,x53242)))
% 28.33/28.21 [5325]~P68(x53252)+~P107(f328(f59(x53252),x53251))+P107(f328(x53251,f682(x53251,x53252)))
% 28.33/28.21 [5365]E(x53651,f117(x53652))+P107(f328(f139(x53652),f118(x53652,x53651)))+~P107(f328(f139(x53652),x53651))
% 28.33/28.21 [5370]~P109(x53701)+~P107(f328(f64(x53701),x53702))+P107(f328(f139(x53701),f141(x53701,x53702)))
% 28.33/28.21 [5371]~P109(x53711)+~P107(f328(f64(x53711),x53712))+P107(f328(f139(x53711),f691(x53712,x53711)))
% 28.33/28.21 [5375]P107(f328(x53751,x53752))+P107(f328(x53751,f445(x53752,x53751)))+~P107(f328(x53751,f2(a911)))
% 28.33/28.21 [5377]~P140(x53771)+E(f328(f104(x53771),f328(a109,x53772)),f328(f107(x53771),x53772))+P107(f328(f328(f240(a1),x53772),f2(a1)))
% 28.33/28.21 [5407]P12(x54072,x54071)+E(f328(x54071,f477(x54071)),f328(x54071,f503(x54071)))+P107(f328(f328(x54071,f477(x54071)),f503(x54071)))
% 28.33/28.21 [5420]E(f328(f104(a1),f608(x54201,x54202)),x54201)+P107(f328(x54202,f328(a109,x54201)))+~P107(f328(x54202,f2(a911)))
% 28.33/28.21 [5432]~P68(x54321)+~P107(f328(x54322,f724(x54322,x54321)))+P107(f328(f60(x54321),x54322))
% 28.33/28.21 [5433]~P68(x54331)+~P107(f328(x54332,f741(x54332,x54331)))+P107(f328(f60(x54331),x54332))
% 28.33/28.21 [5469]~P113(x54691)+~E(f85(x54691,x54692),f328(f82(x54691),f81(x54691)))+P107(f328(f328(f240(x54691),x54692),f2(x54691)))
% 28.33/28.21 [5542]~E(x55422,f2(a1))+E(f219(x55421,x55422),f328(f328(f256(a1,a1),f2(a1)),f81(a1)))+P107(f328(f328(f240(a1),x55422),f2(a1)))
% 28.33/28.21 [5543]~E(x55431,f2(a1))+E(f219(x55431,x55432),f328(f328(f256(a1,a1),f2(a1)),f81(a1)))+P107(f328(f328(f240(a1),x55432),f2(a1)))
% 28.33/28.21 [5566]~P107(f328(x55661,x55662))+~P107(f328(x55661,f456(x55662,x55661)))+P107(f328(x55661,f2(a911)))
% 28.33/28.21 [5594]E(f328(f104(a1),f608(x55941,x55942)),x55941)+P107(f328(x55942,f328(a109,x55941)))+P107(f328(f328(f240(a1),x55941),f2(a1)))
% 28.33/28.21 [5661]~P113(x56611)+E(f85(x56611,x56612),f328(f82(x56611),f81(x56611)))+~P107(f328(f328(f240(x56611),x56612),f2(x56611)))
% 28.33/28.21 [5662]~P113(x56621)+E(f85(x56621,x56622),f328(f82(x56621),f81(x56621)))+~P107(f328(f328(f240(x56621),x56622),f2(x56621)))
% 28.33/28.21 [5663]~P86(x56631)+E(f328(f79(x56631),x56632),f328(f82(x56631),x56632))+~P107(f328(f328(f240(x56631),x56632),f2(x56631)))
% 28.33/28.21 [5664]~P86(x56641)+E(f328(f79(x56641),x56642),f328(f82(x56641),x56642))+~P107(f328(f328(f239(x56641),x56642),f2(x56641)))
% 28.33/28.21 [5665]~P74(x56651)+E(f328(f79(x56651),x56652),f328(f82(x56651),x56652))+~P107(f328(f328(f240(x56651),x56652),f2(x56651)))
% 28.33/28.21 [5764]~P107(f328(x57641,f608(x57642,x57641)))+P107(f328(x57641,f328(a109,x57642)))+~P107(f328(x57641,f2(a911)))
% 28.33/28.21 [5771]E(x57711,f2(a911))+E(f328(a116,f478(x57712,x57711)),x57711)+~P107(f328(f328(f240(a911),x57711),f328(a116,x57712)))
% 28.33/28.21 [5776]P12(x57761,x57762)+~E(f328(x57762,f477(x57762)),f328(x57762,f503(x57762)))+~P107(f328(f328(x57762,f477(x57762)),f503(x57762)))
% 28.33/28.21 [5794]~P109(x57941)+P18(x57941,x57942)+P107(f328(f328(f239(a911),f653(x57942,x57941)),f654(x57942,x57941)))
% 28.33/28.21 [5795]~P109(x57951)+P18(x57951,x57952)+P107(f328(f328(f239(a911),f661(x57952,x57951)),f667(x57952,x57951)))
% 28.33/28.21 [5881]~P86(x58811)+~E(x58812,f2(x58811))+P107(f328(f328(f239(x58811),f328(f79(x58811),x58812)),f2(x58811)))
% 28.33/28.21 [5969]~P107(f328(x59691,f608(x59692,x59691)))+P107(f328(x59691,f328(a109,x59692)))+P107(f328(f328(f240(a1),x59692),f2(a1)))
% 28.33/28.21 [5996]~P107(f328(x59961,f328(a109,x59962)))+P107(f328(x59961,f2(a911)))+~P107(f328(f328(f240(a1),x59962),f2(a1)))
% 28.33/28.21 [6337]~P113(x63371)+~P107(f328(f328(f240(x63371),x63372),f2(x63371)))+P107(f328(f328(f240(x63371),f85(x63371,x63372)),f2(x63371)))
% 28.33/28.21 [6450]~P113(x64501)+P107(f328(f328(f240(x64501),f328(f107(x64501),x64502)),f2(x64501)))+~P107(f328(f328(f240(a1),x64502),f2(a1)))
% 28.33/28.21 [6451]~P113(x64511)+P107(f328(f328(f239(x64511),f328(f107(x64511),x64512)),f2(x64511)))+~P107(f328(f328(f239(a1),x64512),f2(a1)))
% 28.33/28.21 [6459]~P86(x64592)+E(x64591,f2(x64592))+~P107(f328(f328(f239(x64592),f328(f79(x64592),x64591)),f2(x64592)))
% 28.33/28.21 [6535]~P140(x65351)+~P107(f328(f328(f330(x65351),x65352),f114(x65351)))+P107(f328(f328(f330(x65351),f328(f82(x65351),x65352)),f114(x65351)))
% 28.33/28.21 [6567]~P113(x65671)+~P107(f328(f328(f240(x65671),f85(x65671,x65672)),f2(x65671)))+P107(f328(f328(f240(x65671),x65672),f2(x65671)))
% 28.33/28.21 [6741]~P113(x67412)+~P107(f328(f328(f240(x67412),f328(f107(x67412),x67411)),f2(x67412)))+P107(f328(f328(f240(a1),x67411),f2(a1)))
% 28.33/28.21 [6742]~P113(x67422)+~P107(f328(f328(f239(x67422),f328(f107(x67422),x67421)),f2(x67422)))+P107(f328(f328(f239(a1),x67421),f2(a1)))
% 28.33/28.21 [7236]~P75(x72361)+~P107(f328(f328(f240(x72361),x72362),f2(x72361)))+P107(f328(f328(f240(x72361),f328(f328(f83(x72361),x72362),x72362)),f2(x72361)))
% 28.33/28.21 [7237]~P113(x72371)+~P107(f328(f328(f240(x72371),x72372),f2(x72371)))+P107(f328(f328(f240(x72371),f328(f328(f83(x72371),x72372),x72372)),f2(x72371)))
% 28.33/28.21 [7238]~P75(x72381)+~P107(f328(f328(f239(x72381),x72382),f2(x72381)))+P107(f328(f328(f239(x72381),f328(f328(f83(x72381),x72382),x72382)),f2(x72381)))
% 28.33/28.21 [7816]~P75(x78161)+~P107(f328(f328(f240(x78161),f328(f328(f83(x78161),x78162),x78162)),f2(x78161)))+P107(f328(f328(f240(x78161),x78162),f2(x78161)))
% 28.33/28.21 [7817]~P113(x78171)+~P107(f328(f328(f240(x78171),f328(f328(f83(x78171),x78172),x78172)),f2(x78171)))+P107(f328(f328(f240(x78171),x78172),f2(x78171)))
% 28.33/28.21 [7818]~P75(x78181)+~P107(f328(f328(f239(x78181),f328(f328(f83(x78181),x78182),x78182)),f2(x78181)))+P107(f328(f328(f239(x78181),x78182),f2(x78181)))
% 28.33/28.21 [4858]~E(x48582,f81(a911))+~E(x48581,f81(a911))+E(f328(f328(f84(a911),x48581),x48582),f81(a911))
% 28.33/28.21 [4859]~E(x48592,f2(a911))+~E(x48591,f2(a911))+E(f328(f328(f83(a911),x48591),x48592),f2(a911))
% 28.33/28.21 [4860]~E(x48602,f81(a911))+~E(x48601,f81(a911))+E(f328(f328(f84(a911),x48601),x48602),f81(a911))
% 28.33/28.21 [4861]~E(x48612,f81(a1))+~E(x48611,f81(a1))+E(f328(f328(f84(a1),x48611),x48612),f81(a1))
% 28.33/28.21 [4916]~P8(x49162)+E(x49161,f2(x49162))+E(f328(f328(f39(x49162),x49161),x49161),f81(x49162))
% 28.33/28.21 [4917]~P121(x49172)+E(x49171,f2(x49172))+E(f328(f328(f291(x49172),x49171),x49171),f81(x49172))
% 28.33/28.21 [4918]~P122(x49182)+E(x49181,f2(x49182))+E(f328(f328(f291(x49182),x49181),x49181),f81(x49182))
% 28.33/28.21 [4935]~P75(x49351)+~E(x49352,f2(x49351))+E(f328(f328(f83(x49351),x49352),x49352),f2(x49351))
% 28.33/28.21 [4936]~P75(x49361)+~E(x49362,f2(x49361))+E(f328(f328(f83(x49361),x49362),x49362),f2(x49361))
% 28.33/28.21 [4939]~P142(x49391)+~E(x49392,f81(x49391))+E(f328(f328(f84(x49391),x49392),x49392),f81(x49391))
% 28.33/28.21 [4940]~P122(x49401)+~E(x49402,f2(x49401))+E(f328(f328(f291(x49401),x49402),x49402),f2(x49401))
% 28.33/28.21 [4985]~E(x49852,f2(a911))+~E(x49851,f2(a911))+E(f328(f82(a1),f328(f104(a1),x49851)),f328(f104(a1),x49852))
% 28.33/28.21 [5004]E(x50041,f81(a911))+E(x50042,f2(a911))+~E(f328(f328(f84(a911),x50042),x50041),x50042)
% 28.33/28.21 [5016]E(x50161,f2(a911))+E(x50162,f2(a911))+~E(f328(f328(f84(a911),x50162),x50161),f2(a911))
% 28.33/28.21 [5041]~E(x50412,f2(a911))+~E(x50411,f328(a116,f2(a911)))+E(f328(f328(f83(a911),x50411),x50412),f328(a116,f2(a911)))
% 28.33/28.21 [5042]~E(x50421,f2(a911))+~E(x50422,f328(a116,f2(a911)))+E(f328(f328(f83(a911),x50421),x50422),f328(a116,f2(a911)))
% 28.33/28.21 [5043]~E(x50432,f2(a911))+~E(x50431,f328(a116,f2(a911)))+E(f328(f328(f83(a911),x50431),x50432),f328(a116,f2(a911)))
% 28.33/28.21 [5044]~E(x50441,f2(a911))+~E(x50442,f328(a116,f2(a911)))+E(f328(f328(f83(a911),x50441),x50442),f328(a116,f2(a911)))
% 28.33/28.21 [5051]E(x50511,f81(a1))+E(x50512,f328(f108(a1),a101))+~E(f328(f328(f84(a1),x50511),x50512),f81(a1))
% 28.33/28.21 [5052]E(x50521,f81(a1))+E(x50522,f328(f108(a1),a101))+~E(f328(f328(f84(a1),x50522),x50521),f81(a1))
% 28.33/28.21 [5053]E(x50531,f81(a1))+E(x50531,f328(f108(a1),a101))+~E(f328(f328(f84(a1),x50532),x50531),f81(a1))
% 28.33/28.21 [5054]E(x50541,f81(a1))+E(x50541,f328(f108(a1),a101))+~E(f328(f328(f84(a1),x50541),x50542),f81(a1))
% 28.33/28.21 [5055]E(x50551,f81(a1))+E(x50551,f328(f108(a1),a101))+~E(f328(f328(f84(a1),x50551),x50552),f81(a1))
% 28.33/28.21 [5075]~P75(x50752)+E(x50751,f2(x50752))+~E(f328(f328(f83(x50752),x50751),x50751),f2(x50752))
% 28.33/28.21 [5076]~P75(x50762)+E(x50761,f2(x50762))+~E(f328(f328(f83(x50762),x50761),x50761),f2(x50762))
% 28.33/28.21 [5082]~E(x50821,f328(f108(a1),a101))+~E(x50822,f328(f108(a1),a101))+E(f328(f328(f84(a1),x50821),x50822),f81(a1))
% 28.33/28.21 [5092]E(x50921,f2(a911))+E(x50922,f2(a911))+~E(f328(f328(f83(a911),x50922),x50921),f328(a116,f2(a911)))
% 28.33/28.21 [5093]E(x50931,f2(a911))+E(x50932,f2(a911))+~E(f328(f328(f83(a911),x50932),x50931),f328(a116,f2(a911)))
% 28.33/28.21 [5103]~P94(x51031)+~P69(x51031)+E(f328(f328(f291(x51031),x51032),f328(f108(x51031),a86)),f2(x51031))
% 28.33/28.21 [5109]~P142(x51091)+~E(x51092,f328(f82(x51091),f81(x51091)))+E(f328(f328(f84(x51091),x51092),x51092),f81(x51091))
% 28.33/28.21 [5114]~P11(x51142)+~P11(x51141)+P11(f328(f328(f83(a1),x51141),x51142))
% 28.33/28.21 [5115]~P11(x51152)+~P11(x51151)+P11(f328(f328(f84(a1),x51151),x51152))
% 28.33/28.21 [5116]~P11(x51162)+~P11(x51161)+P11(f328(f328(f39(a1),x51161),x51162))
% 28.33/28.21 [5117]~E(x51172,f2(a1))+E(x51171,f2(a1))+E(f49(x51171,x51172),f328(f328(f256(a1,a1),f2(a1)),x51171))
% 28.33/28.21 [5118]~E(x51182,f2(a1))+E(x51181,f2(a1))+E(f49(x51181,x51182),f328(f328(f256(a1,a1),f2(a1)),x51181))
% 28.33/28.21 [5140]~E(x51402,f328(a116,f2(a911)))+~E(x51401,f328(a116,f2(a911)))+E(f328(f328(f84(a911),x51401),x51402),f328(a116,f2(a911)))
% 28.33/28.21 [5155]E(x51551,f2(a911))+E(x51551,f328(a116,f2(a911)))+~E(f328(f328(f83(a911),x51552),x51551),f328(a116,f2(a911)))
% 28.33/28.21 [5156]E(x51561,f2(a911))+E(x51561,f328(a116,f2(a911)))+~E(f328(f328(f83(a911),x51561),x51562),f328(a116,f2(a911)))
% 28.33/28.21 [5157]E(x51571,f2(a911))+E(x51572,f328(a116,f2(a911)))+~E(f328(f328(f248(a911),x51572),x51571),f328(a116,f2(a911)))
% 28.33/28.21 [5158]E(x51581,f2(a911))+E(x51581,f328(a116,f2(a911)))+~E(f328(f328(f83(a911),x51582),x51581),f328(a116,f2(a911)))
% 28.33/28.21 [5159]E(x51591,f2(a911))+E(x51591,f328(a116,f2(a911)))+~E(f328(f328(f83(a911),x51591),x51592),f328(a116,f2(a911)))
% 28.33/28.21 [5168]~P94(x51681)+~P69(x51681)+E(f328(f328(f291(x51681),x51682),f328(f108(x51681),a101)),f328(f82(x51681),x51682))
% 28.33/28.21 [5187]E(x51871,f328(a109,x51872))+~E(x51871,f2(a911))+P107(f328(f328(f239(a1),f2(a1)),x51872))
% 28.33/28.21 [5188]E(f328(a109,x51881),x51882)+~E(x51882,f2(a911))+P107(f328(f328(f239(a1),f2(a1)),x51881))
% 28.33/28.21 [5203]E(x52031,f328(a116,f2(a911)))+E(x52032,f328(a116,f2(a911)))+~E(f328(f328(f83(a911),x52031),x52032),f328(a116,f2(a911)))
% 28.33/28.21 [5204]E(x52041,f328(a116,f2(a911)))+E(x52042,f328(a116,f2(a911)))+~E(f328(f328(f83(a911),x52041),x52042),f328(a116,f2(a911)))
% 28.33/28.21 [5215]~E(x52151,f328(a109,x52152))+E(x52151,f2(a911))+P107(f328(f328(f239(a1),f2(a1)),x52152))
% 28.33/28.21 [5216]~E(f328(a109,x52162),x52161)+E(x52161,f2(a911))+P107(f328(f328(f239(a1),f2(a1)),x52162))
% 28.33/28.21 [5238]~P101(x52381)+E(f328(f66(x52381,f106(x52381)),x52382),f13(x52381,x52382))+~P107(f328(f64(x52381),x52382))
% 28.33/28.21 [5239]~P101(x52391)+E(f328(f66(x52391,f105(x52391)),x52392),f12(x52391,x52392))+~P107(f328(f64(x52391),x52392))
% 28.33/28.21 [5240]~P109(x52401)+E(f328(f66(x52401,f238(x52401)),x52402),f16(x52401,x52402))+~P107(f328(f64(x52401),x52402))
% 28.33/28.21 [5241]~P109(x52411)+E(f328(f66(x52411,f243(x52411)),x52412),f17(x52411,x52412))+~P107(f328(f64(x52411),x52412))
% 28.33/28.21 [5319]E(x53191,x53192)+~E(f328(f328(f3(a911),x53192),x53191),f2(a911))+~E(f328(f328(f3(a911),x53191),x53192),f2(a911))
% 28.33/28.21 [5336]P11(x53361)+~P46(x53362)+~P107(f328(f328(f330(a1),x53361),x53362))
% 28.33/28.21 [5366]~P113(x53661)+~E(f85(x53661,x53662),f81(x53661))+P107(f328(f328(f240(x53661),f2(x53661)),x53662))
% 28.33/28.21 [5378]~P94(x53781)+E(f328(f104(x53781),f328(f108(a911),x53782)),f328(f108(x53781),x53782))+P107(f328(a195,f328(f108(a1),x53782)))
% 28.33/28.21 [5383]~P51(x53831,x53832)+P52(a905)+P107(f328(f64(f917(x53831,x53831)),x53832))
% 28.33/28.21 [5460]~P109(x54601)+E(f328(f66(x54601,f238(x54601)),x54602),f14(x54601,f238(x54601),x54602))+~P107(f328(f64(x54601),x54602))
% 28.33/28.21 [5461]~P109(x54611)+E(f328(f66(x54611,f243(x54611)),x54612),f15(x54611,f243(x54611),x54612))+~P107(f328(f64(x54611),x54612))
% 28.33/28.21 [5475]E(x54751,x54752)+P107(f328(f328(f240(a911),x54752),x54751))+P107(f328(f328(f240(a911),x54751),x54752))
% 28.33/28.21 [5476]E(x54761,x54762)+P107(f328(f328(f240(a911),x54762),x54761))+P107(f328(f328(f240(a911),x54761),x54762))
% 28.33/28.21 [5477]E(x54771,x54772)+P107(f328(f328(f240(a1),x54772),x54771))+P107(f328(f328(f240(a1),x54771),x54772))
% 28.33/28.21 [5529]~P94(x55291)+E(f328(f104(x55291),f328(f108(a911),x55292)),f2(x55291))+~P107(f328(a195,f328(f108(a1),x55292)))
% 28.33/28.21 [5532]~E(x55322,f328(a109,x55321))+E(x55321,f328(f104(a1),x55322))+~P107(f328(f328(f239(a1),f2(a1)),x55321))
% 28.33/28.21 [5533]~E(f328(a109,x55331),x55332)+E(x55331,f328(f104(a1),x55332))+~P107(f328(f328(f239(a1),f2(a1)),x55331))
% 28.33/28.21 [5534]~E(x55341,f328(a109,x55342))+E(f328(f104(a1),x55341),x55342)+~P107(f328(f328(f239(a1),f2(a1)),x55342))
% 28.33/28.21 [5544]E(x55441,f328(a109,x55442))+~E(x55442,f328(f104(a1),x55441))+~P107(f328(f328(f239(a1),f2(a1)),x55442))
% 28.33/28.21 [5545]E(f328(a109,x55451),x55452)+~E(x55451,f328(f104(a1),x55452))+~P107(f328(f328(f239(a1),f2(a1)),x55451))
% 28.33/28.21 [5585]~P86(x55852)+E(x55851,f2(x55852))+P107(f328(f328(f240(x55852),f2(x55852)),f328(f79(x55852),x55851)))
% 28.33/28.21 [5650]~P113(x56501)+E(f85(x56501,x56502),f81(x56501))+~P107(f328(f328(f240(x56501),f2(x56501)),x56502))
% 28.33/28.21 [5651]~P113(x56511)+E(f85(x56511,x56512),f81(x56511))+~P107(f328(f328(f240(x56511),f2(x56511)),x56512))
% 28.33/28.21 [5655]~P94(x56551)+E(f328(f104(x56551),f328(f108(a911),x56552)),f2(x56551))+P107(f328(f328(f239(a1),f2(a1)),f328(f108(a1),x56552)))
% 28.33/28.21 [5666]~P86(x56661)+E(f328(f79(x56661),x56662),x56662)+~P107(f328(f328(f240(x56661),f2(x56661)),x56662))
% 28.33/28.21 [5667]~P86(x56671)+E(f328(f79(x56671),x56672),x56672)+~P107(f328(f328(f239(x56671),f2(x56671)),x56672))
% 28.33/28.21 [5676]E(x56761,f2(a911))+~E(f141(a911,f328(f303(a911,x56762),x56761)),f117(a911))+P107(f328(f328(f239(a911),x56761),x56762))
% 28.33/28.21 [5686]~P76(x56861)+E(f328(f328(f8(x56861,x56861),f7(x56861)),f328(f174(x56861),x56862)),f328(f167(x56861),x56862))+~P107(f328(f139(x56861),x56862))
% 28.33/28.21 [5689]~P140(x56891)+E(f328(f104(x56891),f328(a109,x56892)),f328(f107(x56891),x56892))+~P107(f328(f328(f239(a1),f2(a1)),x56892))
% 28.33/28.21 [5691]~E(x56911,x56912)+P107(f328(f328(f240(a911),x56911),f328(a116,x56912)))+P107(f328(f328(f240(a911),x56911),x56912))
% 28.33/28.21 [5714]E(x57141,x57142)+P107(f328(f328(f240(a911),x57141),x57142))+~P107(f328(f328(f239(a911),x57141),x57142))
% 28.33/28.21 [5715]E(x57151,x57152)+P107(f328(f328(f240(a911),x57151),x57152))+~P107(f328(f328(f239(a911),x57151),x57152))
% 28.33/28.21 [5716]E(x57161,x57162)+P107(f328(f328(f240(a911),x57161),x57162))+~P107(f328(f328(f239(a911),x57161),x57162))
% 28.33/28.21 [5717]E(x57171,x57172)+P107(f328(f328(f240(a1),x57171),x57172))+~P107(f328(f328(f239(a1),x57171),x57172))
% 28.33/28.21 [5720]E(x57201,f81(a1))+~E(f328(f328(f84(a1),x57202),x57201),f81(a1))+~P107(f328(f328(f240(a1),f2(a1)),x57202))
% 28.33/28.21 [5721]E(x57211,f81(a1))+~E(f328(f328(f84(a1),x57211),x57212),f81(a1))+~P107(f328(f328(f240(a1),f2(a1)),x57211))
% 28.33/28.21 [5760]~P46(x57602)+P107(f328(f328(f239(a1),f2(a1)),x57601))+~P107(f328(f328(f330(a1),x57601),x57602))
% 28.33/28.21 [5761]~P46(x57612)+P107(f328(f328(f239(a1),f2(a1)),x57611))+~P107(f328(f328(f330(a1),x57611),x57612))
% 28.33/28.21 [5772]~P107(f328(x57721,x57722))+P107(f328(x57721,f2(a911)))+P107(f328(x57721,f328(a116,f456(x57722,x57721))))
% 28.33/28.21 [5780]~P64(x57801,x57802)+P43(x57801,x57802)+~P107(f328(f64(f917(x57801,x57801)),x57802))
% 28.33/28.21 [5781]~P64(x57811,x57812)+P43(x57811,x57812)+~P107(f328(f64(f917(x57811,x57811)),x57812))
% 28.33/28.21 [5782]~P43(x57821,x57822)+P64(x57821,x57822)+~P107(f328(f64(f917(x57821,x57821)),x57822))
% 28.33/28.21 [5783]~P64(x57831,x57832)+P51(x57831,x57832)+~P107(f328(f64(f917(x57831,x57831)),x57832))
% 28.33/28.21 [5825]E(x58251,f190(f918(x58252,a905)))+~P107(f328(f64(x58252),x58251))+P107(f328(f328(f240(a911),f2(a911)),f328(f38(x58252),x58251)))
% 28.33/28.21 [5852]~P107(f328(x58521,x58522))+P107(f328(x58521,f2(a911)))+P107(f328(f328(f240(a911),f780(x58522,x58521)),x58522))
% 28.33/28.21 [5875]E(x58751,f2(a911))+~E(f328(f167(a911),x58752),f2(a911))+~P107(f328(f328(f330(a911),x58751),f328(f174(a911),x58752)))
% 28.33/28.21 [5910]~E(x59101,x59102)+P107(f328(f328(f240(a911),x59101),f328(a116,x59102)))+~P107(f328(f328(f239(a911),x59102),x59101))
% 28.33/28.21 [5941]E(x59411,x59412)+~P107(f328(f328(f239(a911),x59412),x59411))+~P107(f328(f328(f239(a911),x59411),x59412))
% 28.33/28.21 [5942]E(x59421,x59422)+~P107(f328(f328(f239(a1),x59422),x59421))+~P107(f328(f328(f239(a1),x59421),x59422))
% 28.33/28.21 [5944]E(f328(f38(x59441),x59442),f2(a911))+~P107(f328(f64(x59441),x59442))+P107(f328(f328(f330(x59441),f725(x59442,x59441)),x59442))
% 28.33/28.21 [5953]E(f53(x59531,x59532),f49(x59531,x59532))+P107(f328(f328(f239(a1),f2(a1)),x59531))+~P107(f328(f328(f240(a1),f2(a1)),x59532))
% 28.33/28.21 [5983]~P107(f328(x59831,f742(x59831)))+P107(f328(x59831,f328(a109,x59832)))+~P107(f328(f328(f239(a1),f2(a1)),x59832))
% 28.33/28.21 [5986]P107(f328(f328(f240(a911),x59861),f356(x59862)))+~P107(f328(f64(a911),x59862))+~P107(f328(f328(f330(a911),x59861),x59862))
% 28.33/28.21 [5987]P107(f328(f328(f239(a911),x59871),f354(x59872)))+~P107(f328(f64(a911),x59872))+~P107(f328(f328(f330(a911),x59871),x59872))
% 28.33/28.21 [6014]E(x60141,x60142)+~P107(f328(f328(f240(a911),x60141),f328(a116,x60142)))+P107(f328(f328(f240(a911),x60141),x60142))
% 28.33/28.21 [6015]E(x60151,x60152)+~P107(f328(f328(f240(a911),x60151),f328(a116,x60152)))+P107(f328(f328(f240(a911),x60151),x60152))
% 28.33/28.21 [6016]E(x60161,x60162)+~P107(f328(f328(f240(a911),x60161),f328(a116,x60162)))+P107(f328(f328(f240(a911),x60161),x60162))
% 28.33/28.21 [6017]E(x60171,x60172)+~P107(f328(f328(f240(a911),x60171),f328(a116,x60172)))+P107(f328(f328(f240(a911),x60171),x60172))
% 28.33/28.21 [6048]E(x60481,f328(a116,x60482))+~P107(f328(f328(f239(a911),x60481),f328(a116,x60482)))+P107(f328(f328(f239(a911),x60481),x60482))
% 28.33/28.21 [6049]E(x60491,f328(a116,x60492))+~P107(f328(f328(f239(a911),x60491),f328(a116,x60492)))+P107(f328(f328(f239(a911),x60491),x60492))
% 28.33/28.21 [6065]P107(f328(x60651,f726(x60651)))+~P107(f328(x60651,f328(a109,x60652)))+~P107(f328(f328(f239(a1),f2(a1)),x60652))
% 28.33/28.21 [6079]~P107(f328(x60791,x60792))+~P107(f328(f328(f239(a1),f2(a1)),x60792))+P107(f328(x60791,f328(f104(a1),f674(x60791))))
% 28.33/28.21 [6091]~P86(x60912)+~E(x60911,f2(x60912))+~P107(f328(f328(f240(x60912),f2(x60912)),f328(f79(x60912),x60911)))
% 28.33/28.21 [6117]~P64(x61171,x61172)+P43(x61171,f328(f288(x61171,x61171),x61172))+~P107(f328(f64(f917(x61171,x61171)),x61172))
% 28.33/28.21 [6125]~P94(x61251)+E(f328(f104(x61251),f328(f108(a911),x61252)),f328(f108(x61251),x61252))+~P107(f328(f328(f239(a1),f2(a1)),f328(f108(a1),x61252)))
% 28.33/28.21 [6129]E(f328(a116,x61291),x61292)+~P107(f328(f328(f240(a911),x61291),x61292))+P107(f328(f328(f240(a911),f328(a116,x61291)),x61292))
% 28.33/28.21 [6144]E(f328(f328(f39(a1),x61441),x61442),f2(a1))+~P107(f328(f328(f239(a1),x61441),f2(a1)))+~P107(f328(f328(f240(a1),x61442),x61441))
% 28.33/28.21 [6145]E(f328(f328(f39(a1),x61451),x61452),f2(a1))+~P107(f328(f328(f239(a1),x61451),f2(a1)))+~P107(f328(f328(f240(a1),x61452),x61451))
% 28.33/28.21 [6155]E(f48(a1,x61551,x61552),x61551)+~P107(f328(f328(f239(a1),x61551),f2(a1)))+~P107(f328(f328(f240(a1),x61552),x61551))
% 28.33/28.21 [6169]E(f50(x61691,x61692),f49(x61691,x61692))+~P107(f328(f328(f239(a1),f2(a1)),x61691))+~P107(f328(f328(f239(a1),f2(a1)),x61692))
% 28.33/28.21 [6177]E(f328(f328(f39(a911),x61771),x61772),f2(a911))+~P107(f328(f328(f240(a911),f2(a911)),x61772))+~P107(f328(f328(f240(a911),x61771),x61772))
% 28.33/28.21 [6178]E(f328(f328(f39(a1),x61781),x61782),f2(a1))+~P107(f328(f328(f239(a1),f2(a1)),x61781))+~P107(f328(f328(f240(a1),x61781),x61782))
% 28.33/28.21 [6179]E(f328(f328(f39(a1),x61791),x61792),f2(a1))+~P107(f328(f328(f239(a1),f2(a1)),x61791))+~P107(f328(f328(f240(a1),x61791),x61792))
% 28.33/28.21 [6191]E(f48(a911,f328(f108(a911),x61911),f328(f108(a911),x61912)),f328(f108(a911),x61911))+P107(f328(a195,f328(f108(a1),x61911)))+~P107(f328(a195,f328(f108(a1),x61912)))
% 28.33/28.21 [6193]E(f48(a1,x61931,x61932),x61931)+~P107(f328(f328(f239(a1),f2(a1)),x61931))+~P107(f328(f328(f240(a1),x61931),x61932))
% 28.33/28.21 [6194]P107(f328(x61941,x61942))+~P107(f328(x61941,f2(a911)))+~P107(f328(x61941,f328(a116,f445(x61942,x61941))))
% 28.33/28.21 [6195]E(x61951,x61952)+~P107(f328(f328(f240(a911),x61951),f328(a116,x61952)))+~P107(f328(f328(f239(a911),x61952),x61951))
% 28.33/28.21 [6205]E(f328(f108(a1),x62051),f328(f104(a1),x62052))+~E(x62052,f328(a109,f328(f108(a1),x62051)))+~P107(f328(f328(f239(a1),f2(a1)),f328(f108(a1),x62051)))
% 28.33/28.21 [6209]~P113(x62091)+~P107(f328(f328(f240(x62091),x62092),f2(x62091)))+P107(f328(f328(f240(x62091),x62092),f328(f82(x62091),x62092)))
% 28.33/28.21 [6210]~P75(x62101)+~P107(f328(f328(f239(x62101),x62102),f2(x62101)))+P107(f328(f328(f239(x62101),x62102),f328(f82(x62101),x62102)))
% 28.33/28.21 [6219]~P10(x62191)+E(f328(f328(f67(x62191,x62191,f105(x62191)),f190(x62191)),x62192),f40(x62191,x62192))+~P107(f328(f64(x62191),x62192))
% 28.33/28.21 [6220]~P10(x62201)+E(f328(f328(f67(x62201,x62201,f106(x62201)),f246(x62201)),x62202),f41(x62201,x62202))+~P107(f328(f64(x62201),x62202))
% 28.33/28.21 [6237]~P125(x62371)+~P107(f328(f328(f240(a911),f2(a911)),x62372))+P107(f328(f328(f240(x62371),f2(x62371)),f328(f104(x62371),x62372)))
% 28.33/28.21 [6238]~P113(x62381)+~P107(f328(f328(f240(a1),f2(a1)),x62382))+P107(f328(f328(f240(x62381),f2(x62381)),f328(f107(x62381),x62382)))
% 28.33/28.21 [6239]~P113(x62391)+~P107(f328(f328(f239(a1),f2(a1)),x62392))+P107(f328(f328(f239(x62391),f2(x62391)),f328(f107(x62391),x62392)))
% 28.33/28.21 [6242]~P11(x62422)+~P11(x62421)+E(f328(f311(a911,a1,f104(a1)),f304(a911,f328(a109,x62421),f328(a109,x62422))),f304(a1,x62421,x62422))
% 28.33/28.21 [6248]P107(f328(x62481,x62482))+~P107(f328(f328(f239(a1),f2(a1)),x62482))+~P107(f328(x62481,f328(f104(a1),f711(x62481))))
% 28.33/28.21 [6278]E(f328(f328(f83(a911),f328(f108(a911),x62781)),f328(f108(a911),x62782)),f328(f108(a911),x62781))+P107(f328(f328(f240(a1),x62781),a86))+~P107(f328(f328(f240(a1),x62782),a86))
% 28.33/28.21 [6282]~P113(x62821)+P107(f328(f328(f240(x62821),f2(x62821)),f85(x62821,x62822)))+~P107(f328(f328(f240(x62821),f2(x62821)),x62822))
% 28.33/28.21 [6293]~P82(x62931)+~P107(f328(f328(f240(x62931),x62932),f2(x62931)))+P107(f328(f328(f240(x62931),f2(x62931)),f328(f82(x62931),x62932)))
% 28.33/28.21 [6294]~P82(x62941)+~P107(f328(f328(f239(x62941),x62942),f2(x62941)))+P107(f328(f328(f239(x62941),f2(x62941)),f328(f82(x62941),x62942)))
% 28.33/28.21 [6297]E(x62971,f246(f918(x62972,a905)))+~E(f328(f38(x62972),x62971),f328(f38(x62972),f246(f918(x62972,a905))))+~P107(f328(f64(x62972),f246(f918(x62972,a905))))
% 28.33/28.21 [6329]~P113(x63291)+P107(f328(f328(f240(x63291),x63292),f2(x63291)))+~P107(f328(f328(f240(x63291),x63292),f328(f82(x63291),x63292)))
% 28.33/28.21 [6330]~P75(x63301)+P107(f328(f328(f239(x63301),x63302),f2(x63301)))+~P107(f328(f328(f239(x63301),x63302),f328(f82(x63301),x63302)))
% 28.33/28.21 [6336]E(f50(x63361,x63362),f328(f328(f256(a1,a1),f2(a1)),x63361))+~P107(f328(f328(f240(a1),f2(a1)),x63362))+~P107(f328(f328(f240(a1),x63361),x63362))
% 28.33/28.21 [6339]~P94(x63391)+P107(f328(f328(f330(x63391),f328(f108(x63391),x63392)),f188(x63391)))+~P107(f328(f328(f239(a1),a86),x63392))
% 28.33/28.21 [6368]E(x63681,f2(a911))+~P107(f328(f328(f240(a911),x63681),f328(a116,x63682)))+P107(f328(f328(f240(a911),f478(x63682,x63681)),x63682))
% 28.33/28.21 [6390]~P113(x63901)+~P107(f328(f328(f240(x63901),f2(x63901)),f85(x63901,x63902)))+P107(f328(f328(f240(x63901),f2(x63901)),x63902))
% 28.33/28.21 [6392]~E(f328(f108(a911),x63922),f328(f108(a911),x63921))+P107(f328(f328(f239(a1),f328(f108(a1),x63921)),f2(a1)))+~P107(f328(a195,f328(f108(a1),x63922)))
% 28.33/28.21 [6421]E(f328(f255(a1,a1),f53(x64211,x64212)),f328(f328(f39(a1),x64211),x64212))+~P107(f328(f328(f240(a1),x64211),f2(a1)))+~P107(f328(f328(f240(a1),f2(a1)),x64212))
% 28.33/28.21 [6457]E(f328(f260(a1,a1),f53(x64571,x64572)),f48(a1,x64571,x64572))+~P107(f328(f328(f240(a1),x64571),f2(a1)))+~P107(f328(f328(f240(a1),f2(a1)),x64572))
% 28.33/28.21 [6460]~P125(x64602)+~P107(f328(f328(f240(x64602),f2(x64602)),f328(f104(x64602),x64601)))+P107(f328(f328(f240(a911),f2(a911)),x64601))
% 28.33/28.21 [6461]~P113(x64612)+~P107(f328(f328(f240(x64612),f2(x64612)),f328(f107(x64612),x64611)))+P107(f328(f328(f240(a1),f2(a1)),x64611))
% 28.33/28.21 [6462]~P113(x64622)+~P107(f328(f328(f239(x64622),f2(x64622)),f328(f107(x64622),x64621)))+P107(f328(f328(f239(a1),f2(a1)),x64621))
% 28.33/28.21 [6465]E(f328(f255(a1,a1),f50(x64651,x64652)),f328(f328(f39(a1),x64651),x64652))+~P107(f328(f328(f240(a1),f2(a1)),x64651))+~P107(f328(f328(f239(a1),f2(a1)),x64652))
% 28.33/28.21 [6479]E(f328(f260(a1,a1),f50(x64791,x64792)),f48(a1,x64791,x64792))+~P107(f328(f328(f240(a1),f2(a1)),x64791))+~P107(f328(f328(f239(a1),f2(a1)),x64792))
% 28.33/28.21 [6494]~P82(x64941)+P107(f328(f328(f240(x64941),x64942),f2(x64941)))+~P107(f328(f328(f240(x64941),f2(x64941)),f328(f82(x64941),x64942)))
% 28.33/28.21 [6495]~P82(x64951)+P107(f328(f328(f239(x64951),x64952),f2(x64951)))+~P107(f328(f328(f239(x64951),f2(x64951)),f328(f82(x64951),x64952)))
% 28.33/28.21 [6521]P107(f328(f52(x65211,x65212),f53(x65211,x65212)))+~P107(f328(f328(f240(a1),x65211),f2(a1)))+~P107(f328(f328(f240(a1),f2(a1)),x65212))
% 28.33/28.21 [6547]P107(f328(f52(x65471,x65472),f50(x65471,x65472)))+~P107(f328(f328(f240(a1),f2(a1)),x65472))+~P107(f328(f328(f239(a1),f2(a1)),x65471))
% 28.33/28.21 [6591]~P82(x65911)+P107(f328(f328(f240(x65911),f328(f82(x65911),x65912)),f2(x65911)))+~P107(f328(f328(f240(x65911),f2(x65911)),x65912))
% 28.33/28.21 [6592]~P82(x65921)+P107(f328(f328(f239(x65921),f328(f82(x65921),x65922)),f2(x65921)))+~P107(f328(f328(f239(x65921),f2(x65921)),x65922))
% 28.33/28.21 [6608]E(f328(f328(f3(a911),f328(a109,x66081)),f328(a109,x66082)),f328(a109,f197(x66081,x66082)))+~P107(f328(f328(f239(a1),f2(a1)),x66082))+~P107(f328(f328(f239(a1),f2(a1)),x66081))
% 28.33/28.21 [6625]P107(f328(f328(f239(a1),f2(a1)),f197(x66251,x66252)))+~P107(f328(f328(f239(a1),f2(a1)),x66252))+~P107(f328(f328(f239(a1),f2(a1)),x66251))
% 28.33/28.21 [6664]~P107(f328(x66641,x66642))+P107(f328(x66641,f2(a911)))+P107(f328(x66641,f328(f328(f83(a911),f780(x66642,x66641)),f81(a911))))
% 28.33/28.21 [6748]E(f328(f108(a911),x67481),f328(f108(a911),x67482))+~P107(f328(f328(f239(a1),f328(f108(a1),x67482)),f2(a1)))+~P107(f328(a195,f328(f108(a1),x67481)))
% 28.33/28.21 [6758]~E(x67581,f2(a911))+~E(f600(x67582,x67581),f2(a911))+E(f328(f144(a911,a911,f83(a911),x67581),x67582),f2(a911))
% 28.33/28.21 [6783]~P107(f328(f64(x67831),f634(x67832,x67831)))+~P107(f328(f64(f918(x67831,a905)),x67832))+P107(f328(f64(x67831),f40(f918(x67831,a905),x67832)))
% 28.33/28.21 [6789]E(x67891,x67892)+P107(f328(f328(f240(a1),x67891),x67892))+~P107(f328(f328(f240(a1),x67891),f328(f328(f83(a1),x67892),f81(a1))))
% 28.33/28.21 [6790]P107(f328(f328(f240(a911),f328(a109,x67901)),f328(a109,x67902)))+~P107(f328(f328(f240(a1),f2(a1)),x67902))+~P107(f328(f328(f240(a1),x67901),x67902))
% 28.33/28.21 [6791]P107(f328(f328(f240(a911),f328(a109,x67911)),f328(a109,x67912)))+~P107(f328(f328(f240(a1),f2(a1)),x67912))+~P107(f328(f328(f240(a1),x67911),x67912))
% 28.33/28.21 [6792]P107(f328(f328(f240(a911),f328(a109,x67921)),f328(a109,x67922)))+~P107(f328(f328(f239(a1),f2(a1)),x67921))+~P107(f328(f328(f240(a1),x67921),x67922))
% 28.33/28.21 [6793]P107(f328(f328(f239(a911),f328(a109,x67931)),f328(a109,x67932)))+~P107(f328(f328(f240(a1),f2(a1)),x67931))+~P107(f328(f328(f239(a1),x67931),x67932))
% 28.33/28.21 [6794]P107(f328(f328(f239(a911),f328(a109,x67941)),f328(a109,x67942)))+~P107(f328(f328(f239(a1),f2(a1)),x67942))+~P107(f328(f328(f239(a1),x67941),x67942))
% 28.33/28.21 [6804]E(f48(a911,f328(a109,x68041),f328(a109,x68042)),f328(a109,f48(a1,x68041,x68042)))+~P107(f328(f328(f239(a1),f2(a1)),x68042))+~P107(f328(f328(f239(a1),f2(a1)),x68041))
% 28.33/28.21 [6805]E(f48(a911,f328(a109,x68051),f328(a109,x68052)),f328(a109,f48(a1,x68051,x68052)))+~P107(f328(f328(f239(a1),f2(a1)),x68052))+~P107(f328(f328(f239(a1),f2(a1)),x68051))
% 28.33/28.21 [6827]~P82(x68271)+~P107(f328(f328(f240(x68271),f328(f82(x68271),x68272)),f2(x68271)))+P107(f328(f328(f240(x68271),f2(x68271)),x68272))
% 28.33/28.21 [6828]~P82(x68281)+~P107(f328(f328(f239(x68281),f328(f82(x68281),x68282)),f2(x68281)))+P107(f328(f328(f239(x68281),f2(x68281)),x68282))
% 28.33/28.21 [6842]~P107(f328(f328(f240(a1),a86),x68422))+~P107(f328(f328(f240(a1),x68421),x68422))+P107(f328(f328(f240(a911),f328(f108(a911),x68421)),f328(f108(a911),x68422)))
% 28.33/28.21 [6931]~P107(f328(f328(f239(a1),f2(a1)),x69311))+P107(f328(f328(f240(a911),f328(a109,x69311)),x69312))+~P107(f328(f328(f240(a1),x69311),f328(f104(a1),x69312)))
% 28.33/28.21 [6936]P107(f328(x69361,x69362))+~P107(f328(x69361,f328(a22,f837(x69361,x69362))))+~P107(f328(f328(f330(a911),x69362),f246(f918(a911,a905))))
% 28.33/28.21 [6948]E(x69481,f2(a1))+E(f48(a1,x69482,x69481),f2(a1))+E(f328(f328(f3(a1),f328(f82(a1),f328(f328(f39(a1),x69482),x69481))),f81(a1)),f328(f328(f39(a1),x69482),f328(f82(a1),x69481)))
% 28.33/28.21 [6962]~P107(f328(f328(f239(a1),f2(a1)),x69621))+~P107(f328(f328(f240(a911),f328(a109,x69621)),x69622))+P107(f328(f328(f240(a1),x69621),f328(f104(a1),x69622)))
% 28.33/28.21 [6996]~P107(f328(f328(f240(a911),f328(a109,x69961)),f328(a109,x69962)))+~P107(f328(f328(f240(a1),f2(a1)),x69962))+P107(f328(f328(f240(a1),x69961),x69962))
% 28.33/28.21 [6997]~P107(f328(f328(f240(a911),f328(a109,x69971)),f328(a109,x69972)))+~P107(f328(f328(f239(a1),f2(a1)),x69971))+P107(f328(f328(f240(a1),x69971),x69972))
% 28.33/28.21 [6998]~P107(f328(f328(f239(a911),f328(a109,x69981)),f328(a109,x69982)))+~P107(f328(f328(f240(a1),f2(a1)),x69981))+P107(f328(f328(f239(a1),x69981),x69982))
% 28.33/28.21 [6999]~P107(f328(f328(f239(a911),f328(a109,x69991)),f328(a109,x69992)))+~P107(f328(f328(f239(a1),f2(a1)),x69992))+P107(f328(f328(f239(a1),x69991),x69992))
% 28.33/28.21 [7025]P107(f328(f328(f239(a1),x70251),x70252))+~P107(f328(f328(f239(a911),f328(f108(a911),x70251)),f328(f108(a911),x70252)))+P107(f328(f328(f239(a1),x70251),a86))
% 28.33/28.21 [7053]P107(f328(f328(f239(a1),f2(a1)),f48(a1,x70531,x70532)))+~P107(f328(f328(f239(a1),f2(a1)),x70532))+~P107(f328(f328(f239(a1),f2(a1)),x70531))
% 28.33/28.21 [7148]P107(f328(f328(f240(a1),a86),x71481))+~P107(f328(f328(f240(a1),x71482),x71481))+~P107(f328(f328(f240(a911),f328(f108(a911),x71482)),f328(f108(a911),x71481)))
% 28.33/28.21 [7200]E(f328(f328(f256(a1,a1),f328(f328(f39(a1),x72001),x72002)),f48(a1,x72001,x72002)),f53(x72001,x72002))+~P107(f328(f328(f240(a1),x72001),f2(a1)))+~P107(f328(f328(f240(a1),f2(a1)),x72002))
% 28.33/28.21 [7220]E(f328(f328(f256(a1,a1),f328(f328(f39(a1),x72201),x72202)),f48(a1,x72201,x72202)),f50(x72201,x72202))+~P107(f328(f328(f239(a1),f2(a1)),x72202))+~P107(f328(f328(f239(a1),f2(a1)),x72201))
% 28.33/28.21 [7271]~P97(x72712)+E(x72711,f117(x72712))+E(f328(f144(x72712,x72712,f84(x72712),f328(f143(x72712),x72711)),f328(f173(x72712),x72711)),f328(f66(x72712,f84(x72712)),f328(f174(x72712),x72711)))
% 28.33/28.21 [7391]~E(x73911,f2(a911))+E(f328(f144(a911,a911,f83(a911),x73911),x73912),f2(a911))+P107(f328(f328(f330(a911),f600(x73912,x73911)),f328(f174(a911),x73912)))
% 28.33/28.21 [7442]~P107(f328(f328(f240(a1),x74422),f2(a1)))+P107(f328(f328(f240(a1),f328(f328(f39(a1),x74421),x74422)),f2(a1)))+~P107(f328(f328(f240(a1),f2(a1)),x74421))
% 28.33/28.21 [7443]~P107(f328(f328(f240(a1),x74431),f2(a1)))+P107(f328(f328(f240(a1),f328(f328(f39(a1),x74431),x74432)),f2(a1)))+~P107(f328(f328(f240(a1),f2(a1)),x74432))
% 28.33/28.21 [7444]~P107(f328(f328(f240(a1),x74441),f2(a1)))+P107(f328(f328(f240(a1),f328(f328(f39(a1),x74441),x74442)),f2(a1)))+~P107(f328(f328(f240(a1),f2(a1)),x74442))
% 28.33/28.21 [7445]~P107(f328(f328(f240(a1),x74452),f2(a1)))+P107(f328(f328(f239(a1),f328(f328(f39(a1),x74451),x74452)),f2(a1)))+~P107(f328(f328(f239(a1),f2(a1)),x74451))
% 28.33/28.21 [7446]~P107(f328(f328(f239(a1),x74461),f2(a1)))+P107(f328(f328(f239(a1),f328(f328(f39(a1),x74461),x74462)),f2(a1)))+~P107(f328(f328(f240(a1),f2(a1)),x74462))
% 28.33/28.21 [7453]P107(f328(f328(f330(f918(x74531,a905)),f634(x74532,x74531)),x74532))+~P107(f328(f64(f918(x74531,a905)),x74532))+P107(f328(f64(x74531),f40(f918(x74531,a905),x74532)))
% 28.33/28.21 [7549]P30(x75491,x75491,x75492,f246(f918(x75491,a905)))+~E(f328(f311(x75491,x75491,x75492),f246(f918(x75491,a905))),f246(f918(x75491,a905)))+~P107(f328(f64(x75491),f246(f918(x75491,a905))))
% 28.33/28.21 [7672]~P30(x76721,x76721,x76722,f246(f918(x76721,a905)))+E(f328(f311(x76721,x76721,x76722),f246(f918(x76721,a905))),f246(f918(x76721,a905)))+~P107(f328(f64(x76721),f246(f918(x76721,a905))))
% 28.33/28.21 [7695]E(f50(f328(f108(a1),x76951),f328(f108(a1),x76952)),f328(f328(f256(a1,a1),f2(a1)),f328(f108(a1),x76951)))+~P107(f328(f328(f240(a1),f2(a1)),f328(f108(a1),x76952)))+~P107(f328(f328(f240(a1),f328(f108(a1),x76951)),f328(f108(a1),x76952)))
% 28.33/28.21 [7810]E(f328(f328(f39(a1),x78101),x78102),f328(f108(a1),a101))+~P107(f328(f328(f239(a1),f328(f328(f83(a1),x78101),x78102)),f2(a1)))+~P107(f328(f328(f240(a1),f2(a1)),x78101))
% 28.33/28.21 [7867]~P107(f328(f328(f240(a1),x78672),f2(a1)))+~P107(f328(f328(f240(a1),f328(f328(f39(a1),x78671),x78672)),f2(a1)))+P107(f328(f328(f240(a1),f2(a1)),x78671))
% 28.33/28.21 [7872]E(f328(f328(f83(a1),x78721),x78722),f48(a1,x78721,x78722))+~P107(f328(f328(f239(a1),f328(f328(f83(a1),x78721),x78722)),f2(a1)))+~P107(f328(f328(f240(a1),f2(a1)),x78721))
% 28.33/28.21 [7875]P107(f328(f328(f240(a1),x78751),f2(a1)))+~P107(f328(f328(f240(a1),f328(f328(f39(a1),x78751),x78752)),f2(a1)))+~P107(f328(f328(f240(a1),f2(a1)),x78752))
% 28.33/28.21 [8585]~P109(x85851)+P18(x85851,x85852)+~P107(f328(f328(f239(x85851),f328(f328(f166(x85851),x85852),f653(x85852,x85851))),f328(f328(f166(x85851),x85852),f654(x85852,x85851))))
% 28.33/28.21 [8586]~P109(x85861)+P18(x85861,x85862)+~P107(f328(f328(f239(x85861),f328(f328(f166(x85861),x85862),f661(x85862,x85861))),f328(f328(f166(x85861),x85862),f667(x85862,x85861))))
% 28.33/28.21 [5818]E(x58181,f2(a1))+~E(f48(a1,x58182,x58181),f2(a1))+E(f328(f328(f39(a1),x58182),f328(f82(a1),x58181)),f328(f82(a1),f328(f328(f39(a1),x58182),x58181)))
% 28.33/28.21 [5836]~P46(x58362)+~P46(x58361)+P46(f328(f328(f105(f918(a1,a905)),x58361),x58362))
% 28.33/28.21 [5837]~P46(x58372)+~P46(x58371)+P46(f328(f328(f106(f918(a1,a905)),x58371),x58372))
% 28.33/28.21 [5855]~P94(x58551)+~P69(x58551)+E(f328(f82(x58551),f328(f328(f291(x58551),f81(x58551)),x58552)),f328(f328(f291(x58551),f328(f108(x58551),a101)),x58552))
% 28.33/28.21 [5975]E(x59751,f2(a1))+~E(f48(a1,x59752,x59751),f2(a1))+E(f328(f328(f39(a1),f328(f82(a1),x59752)),x59751),f328(f82(a1),f328(f328(f39(a1),x59752),x59751)))
% 28.33/28.21 [6111]~P109(x61111)+P18(x61111,x61112)+P107(f328(f328(f240(a911),f654(x61112,x61111)),f328(f191(f912(x61111)),x61112)))
% 28.33/28.21 [6112]~P109(x61121)+P18(x61121,x61122)+P107(f328(f328(f240(a911),f667(x61122,x61121)),f328(f191(f912(x61121)),x61122)))
% 28.33/28.21 [6272]~P94(x62721)+~E(f328(f108(x62721),x62722),f2(x62721))+P35(x62721,f328(f108(x62721),f328(f328(f83(a1),x62722),f328(f82(a1),a86))))
% 28.33/28.21 [6273]~P94(x62731)+~E(f328(f108(x62731),x62732),f2(x62731))+P35(x62731,f328(f108(x62731),f328(f328(f83(a1),a86),f328(f82(a1),x62732))))
% 28.33/28.21 [6275]E(f328(a54,f50(f328(f82(a1),x62751),f328(f82(a1),x62752))),f49(x62751,x62752))+P107(f328(f328(f240(a1),f2(a1)),x62752))+P107(f328(f328(f239(a1),f2(a1)),x62751))
% 28.33/28.21 [6398]~E(x63982,f2(a911))+~E(x63981,f2(a911))+P107(f328(f328(f239(a1),f328(f104(a1),x63981)),f328(f82(a1),f328(f104(a1),x63982))))
% 28.33/28.21 [6427]E(f328(f328(f83(a911),f328(f108(a911),x64271)),f328(f108(a911),x64272)),f328(f108(a911),f328(f328(f83(a1),x64271),x64272)))+P107(f328(f328(f240(a1),x64271),a86))+P107(f328(f328(f240(a1),x64272),a86))
% 28.33/28.21 [6556]~P75(x65561)+~P107(f328(f328(f240(x65561),f2(x65561)),x65562))+P107(f328(f328(f240(x65561),f328(f82(x65561),x65562)),x65562))
% 28.33/28.21 [6557]~P75(x65571)+~P107(f328(f328(f239(x65571),f2(x65571)),x65572))+P107(f328(f328(f239(x65571),f328(f82(x65571),x65572)),x65572))
% 28.33/28.21 [6734]E(f328(f328(f3(a911),f328(a109,x67341)),f328(a109,x67342)),f328(a109,f328(f328(f3(a1),x67341),x67342)))+~P107(f328(f328(f239(a1),f2(a1)),x67342))+~P107(f328(f328(f239(a1),x67342),x67341))
% 28.33/28.21 [6767]E(f328(a109,f48(a1,f328(f108(a1),x67671),f328(f108(a1),x67672))),f48(a911,f328(f108(a911),x67671),f328(f108(a911),x67672)))+P107(f328(a195,f328(f108(a1),x67671)))+P107(f328(a195,f328(f108(a1),x67672)))
% 28.33/28.21 [6784]~P75(x67841)+P107(f328(f328(f240(x67841),f2(x67841)),x67842))+~P107(f328(f328(f240(x67841),f328(f82(x67841),x67842)),x67842))
% 28.33/28.21 [6785]~P75(x67851)+P107(f328(f328(f239(x67851),f2(x67851)),x67852))+~P107(f328(f328(f239(x67851),f328(f82(x67851),x67852)),x67852))
% 28.33/28.21 [6796]~P75(x67961)+~P107(f328(f328(f240(x67961),f2(x67961)),x67962))+P107(f328(f328(f240(x67961),f2(x67961)),f328(f328(f83(x67961),x67962),x67962)))
% 28.33/28.21 [6798]~P75(x67981)+~P107(f328(f328(f239(x67981),f2(x67981)),x67982))+P107(f328(f328(f239(x67981),f2(x67981)),f328(f328(f83(x67981),x67982),x67982)))
% 28.33/28.21 [6809]E(f328(f328(f83(a911),f328(a109,x68091)),f328(a109,x68092)),f328(a109,f328(f328(f83(a1),x68091),x68092)))+~P107(f328(f328(f239(a1),f2(a1)),x68092))+~P107(f328(f328(f239(a1),f2(a1)),x68091))
% 28.33/28.21 [6810]E(f328(f328(f83(a911),f328(a109,x68101)),f328(a109,x68102)),f328(a109,f328(f328(f83(a1),x68101),x68102)))+~P107(f328(f328(f239(a1),f2(a1)),x68102))+~P107(f328(f328(f239(a1),f2(a1)),x68101))
% 28.33/28.21 [6811]E(f328(f328(f84(a911),f328(a109,x68111)),f328(a109,x68112)),f328(a109,f328(f328(f84(a1),x68111),x68112)))+~P107(f328(f328(f239(a1),f2(a1)),x68112))+~P107(f328(f328(f239(a1),f2(a1)),x68111))
% 28.33/28.21 [6812]E(f328(f328(f39(a911),f328(a109,x68121)),f328(a109,x68122)),f328(a109,f328(f328(f39(a1),x68121),x68122)))+~P107(f328(f328(f239(a1),f2(a1)),x68122))+~P107(f328(f328(f239(a1),f2(a1)),x68121))
% 28.33/28.21 [6822]E(x68221,f2(a911))+P107(f328(f328(f240(a911),f2(a911)),x68222))+~P107(f328(f328(f240(a911),f2(a911)),f328(f328(f248(a911),x68222),x68221)))
% 28.33/28.21 [6852]~P94(x68521)+E(f328(f108(x68521),x68522),f2(x68521))+~P35(x68521,f328(f108(x68521),f328(f328(f83(a1),a86),f328(f82(a1),x68522))))
% 28.33/28.21 [6853]~P94(x68531)+E(f328(f108(x68531),x68532),f2(x68531))+~P35(x68531,f328(f108(x68531),f328(f328(f83(a1),x68532),f328(f82(a1),a86))))
% 28.33/28.21 [6909]~P107(f328(f64(x69091),x69092))+~P107(f328(f64(x69091),f246(f918(x69091,a905))))+P107(f328(f64(x69091),f328(f82(f918(x69091,a905)),x69092)))
% 28.33/28.21 [6932]~P107(f328(f328(f240(a1),f2(a1)),x69322))+~P107(f328(f328(f239(a1),x69322),x69321))+P107(f328(f328(f240(a1),f2(a1)),f328(f328(f39(a1),x69321),x69322)))
% 28.33/28.21 [6933]~P107(f328(f328(f240(a1),x69332),f2(a1)))+~P107(f328(f328(f239(a1),x69331),f2(a1)))+P107(f328(f328(f239(a1),f2(a1)),f328(f328(f39(a1),x69331),x69332)))
% 28.33/28.21 [6970]~P107(f328(f328(f240(a911),f2(a911)),x69702))+~P107(f328(f328(f240(a911),f2(a911)),x69701))+P107(f328(f328(f240(a911),f2(a911)),f328(f328(f84(a911),x69701),x69702)))
% 28.33/28.21 [6971]~P107(f328(f328(f239(a1),f2(a1)),x69712))+~P107(f328(f328(f239(a1),f2(a1)),x69711))+P107(f328(f328(f239(a1),f2(a1)),f328(f328(f83(a1),x69711),x69712)))
% 28.33/28.21 [6972]~P107(f328(f328(f239(a1),f2(a1)),x69722))+~P107(f328(f328(f239(a1),f2(a1)),x69721))+P107(f328(f328(f239(a1),f2(a1)),f328(f328(f84(a1),x69721),x69722)))
% 28.33/28.21 [6973]~P107(f328(f328(f240(a1),f2(a1)),x69732))+~P107(f328(f328(f239(a1),f2(a1)),x69731))+P107(f328(f328(f239(a1),f2(a1)),f328(f328(f39(a1),x69731),x69732)))
% 28.33/28.21 [6974]~P107(f328(f328(f239(a1),f2(a1)),x69742))+~P107(f328(f328(f239(a1),f2(a1)),x69741))+P107(f328(f328(f239(a1),f2(a1)),f328(f328(f39(a1),x69741),x69742)))
% 28.33/28.21 [7038]E(x70381,f2(a1))+E(f48(a1,x70382,x70381),f2(a1))+E(f328(f328(f3(a1),f328(f82(a1),f328(f328(f39(a1),x70382),x70381))),f81(a1)),f328(f328(f39(a1),f328(f82(a1),x70382)),x70381))
% 28.33/28.21 [7094]P107(f328(f328(f240(a911),f2(a911)),x70941))+P107(f328(f328(f240(a911),f2(a911)),x70942))+~P107(f328(f328(f240(a911),f2(a911)),f328(f328(f83(a911),x70942),x70941)))
% 28.33/28.21 [7098]~P75(x70981)+P107(f328(f328(f240(x70981),f2(x70981)),x70982))+~P107(f328(f328(f240(x70981),f2(x70981)),f328(f328(f83(x70981),x70982),x70982)))
% 28.33/28.21 [7099]~P75(x70991)+P107(f328(f328(f239(x70991),f2(x70991)),x70992))+~P107(f328(f328(f239(x70991),f2(x70991)),f328(f328(f83(x70991),x70992),x70992)))
% 28.33/28.21 [7149]~P107(f328(f64(x71491),x71492))+P107(f328(f64(x71491),f246(f918(x71491,a905))))+~P107(f328(f64(x71491),f328(f82(f918(x71491,a905)),x71492)))
% 28.33/28.21 [7212]P107(f328(f328(f239(a1),x72121),f2(a1)))+~P107(f328(f328(f240(a1),x72122),f2(a1)))+~P107(f328(f328(f239(a1),f2(a1)),f328(f328(f39(a1),x72121),x72122)))
% 28.33/28.21 [7218]~P107(f328(f328(f240(a1),f2(a1)),x72181))+P107(f328(f328(f239(a1),x72181),x72182))+~P107(f328(f328(f240(a1),f2(a1)),f328(f328(f39(a1),x72182),x72181)))
% 28.33/28.21 [7219]~P107(f328(f328(f239(a1),f2(a1)),x72192))+P107(f328(f328(f239(a1),x72191),x72192))+~P107(f328(f328(f240(a1),f2(a1)),f328(f328(f39(a1),x72192),x72191)))
% 28.33/28.21 [7248]P107(f328(f328(f240(a1),f2(a1)),x72481))+~P107(f328(f328(f239(a1),f2(a1)),x72482))+~P107(f328(f328(f240(a1),f2(a1)),f328(f328(f39(a1),x72482),x72481)))
% 28.33/28.21 [7249]P107(f328(f328(f239(a1),f2(a1)),x72491))+~P107(f328(f328(f240(a1),f2(a1)),x72492))+~P107(f328(f328(f239(a1),f2(a1)),f328(f328(f39(a1),x72491),x72492)))
% 28.33/28.21 [7350]E(f220(x73501,x73502),x73501)+~E(x73502,f2(a911))+~P107(f328(f316(f917(a911,a911),a223),f328(f328(f256(a911,a911),x73501),x73502)))
% 28.33/28.21 [7568]E(f180(x75681,x75682),f117(a1))+P107(f328(f328(f239(a1),x75681),x75682))+~P107(f328(f316(f917(a1,a1),a184),f328(f328(f256(a1,a1),x75681),x75682)))
% 28.33/28.21 [7592]E(f328(f328(f256(a1,a1),f328(f108(a1),a101)),f328(f328(f83(a1),x75921),x75922)),f53(x75921,x75922))+~P107(f328(f328(f240(a1),f2(a1)),x75922))+~P107(f328(f328(f239(a1),f2(a1)),f328(f328(f83(a1),x75921),x75922)))
% 28.33/28.21 [7623]E(x76231,f2(a911))+E(f220(x76231,f48(a911,x76232,x76231)),f220(x76232,x76231))+~P107(f328(f316(f917(a911,a911),a223),f328(f328(f256(a911,a911),x76232),x76231)))
% 28.33/28.21 [7674]E(f131(x76741,x76742),f119(a1))+~P107(f328(f328(f240(a1),x76741),x76742))+~P107(f328(f316(f917(a1,a1),a135),f328(f328(f256(a1,a1),x76741),x76742)))
% 28.33/28.21 [7703]~P107(f328(f64(x77032),f246(f918(x77032,a905))))+~P107(f328(f64(x77031),f246(f918(x77031,a905))))+P107(f328(f64(f917(x77031,x77032)),f246(f918(f917(x77031,x77032),a905))))
% 28.33/28.21 [7704]~P107(f328(f64(x77042),f246(f918(x77042,a905))))+~P107(f328(f64(x77041),f246(f918(x77041,a905))))+P107(f328(f64(f919(x77041,x77042)),f246(f918(f919(x77041,x77042),a905))))
% 28.33/28.21 [7775]~P107(f328(f328(f240(a911),f328(a116,f2(a911))),x77751))+~P107(f328(f328(f240(a911),f328(a116,f2(a911))),x77752))+P107(f328(f328(f240(a911),x77751),f328(f328(f84(a911),x77752),x77751)))
% 28.33/28.21 [7776]~P107(f328(f328(f240(a911),f328(a116,f2(a911))),x77761))+~P107(f328(f328(f240(a911),f328(a116,f2(a911))),x77762))+P107(f328(f328(f240(a911),x77761),f328(f328(f84(a911),x77761),x77762)))
% 28.33/28.21 [7809]E(f328(f38(x78091),f246(f918(x78091,a905))),f328(a116,f2(a911)))+P107(f328(f64(x78092),f246(f918(x78092,a905))))+~P107(f328(f64(f918(x78092,x78091)),f246(f918(f918(x78092,x78091),a905))))
% 28.33/28.21 [7860]E(f50(x78601,x78602),f328(f328(f256(a1,a1),f2(a1)),x78601))+~P107(f328(f328(f240(a1),x78601),x78602))+~P107(f328(f316(f917(a1,a1),a61),f328(f328(f256(a1,a1),x78601),x78602)))
% 28.33/28.21 [7864]E(f219(f328(f82(a1),x78641),f328(f82(a1),x78642)),f219(x78641,x78642))+~P107(f328(f328(f240(a1),x78642),f2(a1)))+~P107(f328(f316(f917(a1,a1),a225),f328(f328(f256(a1,a1),x78641),x78642)))
% 28.33/28.21 [7885]E(f50(x78851,x78852),f328(f328(f256(a1,a1),f2(a1)),x78851))+~P107(f328(f328(f239(a1),x78852),f2(a1)))+~P107(f328(f316(f917(a1,a1),a61),f328(f328(f256(a1,a1),x78851),x78852)))
% 28.33/28.21 [7938]~P107(f328(f328(f240(a911),f328(a116,f2(a911))),x79382))+~P107(f328(f328(f240(a911),f328(a116,f2(a911))),x79381))+P107(f328(f328(f240(a911),f328(a116,f2(a911))),f328(f328(f84(a911),x79381),x79382)))
% 28.33/28.21 [7939]~P107(f328(f328(f239(a911),f328(a116,f2(a911))),x79391))+~P107(f328(f328(f239(a911),f328(a116,f2(a911))),x79392))+P107(f328(f328(f239(a911),f328(a116,f2(a911))),f328(f328(f84(a911),x79391),x79392)))
% 28.33/28.21 [8102]E(f328(f328(f256(a1,a1),f328(f108(a1),a101)),f328(f328(f83(a1),x81021),x81022)),f53(x81021,x81022))+~P107(f328(f328(f239(a1),x81022),f2(a1)))+~P107(f328(f316(f917(a1,a1),a55),f328(f328(f256(a1,a1),x81021),x81022)))
% 28.33/28.21 [8127]E(f120(a1,f328(f132(a1),x81271),f131(x81272,f328(f328(f83(a1),x81271),f81(a1)))),f131(x81272,x81271))+P107(f328(f328(f240(a1),x81272),x81271))+~P107(f328(f316(f917(a1,a1),a135),f328(f328(f256(a1,a1),x81272),x81271)))
% 28.33/28.21 [8143]E(f328(f328(f153(a1),x81431),f180(f328(f328(f83(a1),x81431),f81(a1)),x81432)),f180(x81431,x81432))+~P107(f328(f328(f239(a1),x81431),x81432))+~P107(f328(f316(f917(a1,a1),a184),f328(f328(f256(a1,a1),x81431),x81432)))
% 28.33/28.21 [8429]E(f328(f328(f256(a1,a1),f328(f108(a1),a101)),f328(f328(f83(a1),x84291),x84292)),f53(x84291,x84292))+~P107(f328(f328(f239(a1),f2(a1)),f328(f328(f83(a1),x84291),x84292)))+~P107(f328(f316(f917(a1,a1),a55),f328(f328(f256(a1,a1),x84291),x84292)))
% 28.33/28.21 [8638]E(x86381,f117(x86382))+~P107(f328(f139(x86382),x86381))+E(f179(x86382,f328(f328(f10(a905,a905,x86382),a323),f328(f328(f9(x86382,x86382,a905),a325),f146(x86382,x86381))),x86381),f118(x86382,x86381))
% 28.33/28.21 [8710]E(f328(f328(f256(a1,a1),f328(f108(a1),a101)),f328(f328(f83(a1),f328(f108(a1),x87101)),f328(f108(a1),x87102))),f53(f328(f108(a1),x87101),f328(f108(a1),x87102)))+~P107(f328(f328(f240(a1),f2(a1)),f328(f108(a1),x87102)))+~P107(f328(f328(f239(a1),f2(a1)),f328(f328(f83(a1),f328(f108(a1),x87101)),f328(f108(a1),x87102))))
% 28.33/28.21 [8732]~P46(x87322)+~P46(x87321)+E(f328(f311(a911,a1,f104(a1)),f328(f328(f105(f918(a911,a905)),f328(f311(a1,a911,a109),x87321)),f328(f311(a1,a911,a109),x87322))),f328(f328(f105(f918(a1,a905)),x87321),x87322))
% 28.33/28.21 [8733]~P46(x87332)+~P46(x87331)+E(f328(f311(a911,a1,f104(a1)),f328(f328(f106(f918(a911,a905)),f328(f311(a1,a911,a109),x87331)),f328(f311(a1,a911,a109),x87332))),f328(f328(f106(f918(a1,a905)),x87331),x87332))
% 28.33/28.21 [9388]~P94(x93881)+~E(f328(f108(x93881),x93882),f81(x93881))+P35(x93881,f328(f108(x93881),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f82(a1),x93882))))
% 28.33/28.21 [9624]~P94(x96241)+E(f328(f108(x96241),x96242),f81(x96241))+~P35(x96241,f328(f108(x96241),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f82(a1),x96242))))
% 28.33/28.21 [10351]E(x103511,f2(a1))+E(x103512,f2(a1))+E(f328(f262(a1,a1,a1,a1,f35(a1),f328(f84(a1),f85(a1,x103512))),f328(f328(f328(f100(f917(a1,a1)),f328(f328(a325,f85(a1,x103511)),f85(a1,x103512))),f56(x103511,x103512)),f328(f328(f261(a1,a1,f917(a1,a1)),f328(f328(f20(a1,f918(a1,f917(a1,a1)),f918(a1,f917(a1,a1))),f328(f328(f10(f918(a1,f918(f917(a1,a1),f917(a1,a1))),f918(f918(a1,f917(a1,a1)),f918(a1,f917(a1,a1))),a1),f20(a1,f917(a1,a1),f917(a1,a1))),f328(f328(f10(f917(a1,a1),f918(a1,f918(f917(a1,a1),f917(a1,a1))),a1),f328(f9(a1,f917(a1,a1),f918(f917(a1,a1),f917(a1,a1))),f328(f328(f10(a905,f918(f917(a1,a1),f918(f917(a1,a1),f917(a1,a1))),a1),f100(f917(a1,a1))),f328(f328(f9(a1,a1,a905),a325),f2(a1))))),f328(f328(f9(a1,a1,f917(a1,a1)),f328(f328(f10(a1,f918(a1,f917(a1,a1)),a1),f256(a1,a1)),f82(a1))),f2(a1))))),f328(f328(f9(a1,f918(a1,a1),f918(a1,f917(a1,a1))),f328(f328(f10(f918(a1,f917(a1,a1)),f918(f918(a1,a1),f918(a1,f917(a1,a1))),a1),f10(a1,f917(a1,a1),a1)),f328(f328(f10(a1,f918(a1,f917(a1,a1)),a1),f256(a1,a1)),f328(f328(f9(a1,a1,a1),f328(f328(f10(a1,f918(a1,a1),a1),f3(a1)),f82(a1))),f81(a1))))),f328(f3(a1),f328(f79(a1),x103512))))),f56(x103511,x103512)))),f49(x103511,x103512))
% 28.33/28.21 [10352]E(x103521,f2(a1))+E(x103522,f2(a1))+E(f328(f262(a1,a1,a1,a1,f35(a1),f328(f84(a1),f85(a1,x103522))),f328(f328(f328(f100(f917(a1,a1)),f328(f328(a327,f328(f328(a326,f328(f328(f240(a1),f2(a1)),x103522)),f328(f328(f239(a1),f2(a1)),x103521))),f328(f328(a326,f328(f328(f240(a1),x103522),f2(a1))),f328(f328(f240(a1),x103521),f2(a1))))),f56(x103521,x103522)),f328(f328(f261(a1,a1,f917(a1,a1)),f328(f328(f20(a1,f918(a1,f917(a1,a1)),f918(a1,f917(a1,a1))),f328(f328(f10(f918(a1,f918(f917(a1,a1),f917(a1,a1))),f918(f918(a1,f917(a1,a1)),f918(a1,f917(a1,a1))),a1),f20(a1,f917(a1,a1),f917(a1,a1))),f328(f328(f10(f917(a1,a1),f918(a1,f918(f917(a1,a1),f917(a1,a1))),a1),f328(f9(a1,f917(a1,a1),f918(f917(a1,a1),f917(a1,a1))),f328(f328(f10(a905,f918(f917(a1,a1),f918(f917(a1,a1),f917(a1,a1))),a1),f100(f917(a1,a1))),f328(f328(f9(a1,a1,a905),a325),f2(a1))))),f328(f328(f9(a1,a1,f917(a1,a1)),f328(f328(f10(a1,f918(a1,f917(a1,a1)),a1),f256(a1,a1)),f82(a1))),f2(a1))))),f328(f328(f9(a1,f918(a1,a1),f918(a1,f917(a1,a1))),f328(f328(f10(f918(a1,f917(a1,a1)),f918(f918(a1,a1),f918(a1,f917(a1,a1))),a1),f10(a1,f917(a1,a1),a1)),f328(f328(f10(a1,f918(a1,f917(a1,a1)),a1),f256(a1,a1)),f328(f328(f9(a1,a1,a1),f328(f328(f10(a1,f918(a1,a1),a1),f3(a1)),f82(a1))),f81(a1))))),f328(f3(a1),f328(f79(a1),x103522))))),f56(x103521,x103522)))),f49(x103521,x103522))
% 28.33/28.21 [5844]~P113(x58441)+~P94(x58441)+E(f328(f79(x58441),f328(f328(f248(x58441),f328(f108(x58441),a101)),x58442)),f81(x58441))
% 28.33/28.21 [6340]~P140(x63401)+~P107(f328(f328(f240(a1),x63402),f2(a1)))+E(f328(f82(x63401),f328(f104(x63401),f328(a109,f328(f82(a1),x63402)))),f328(f107(x63401),x63402))
% 28.33/28.21 [6540]P107(f328(f328(f239(a103),x65401),f81(a103)))+E(f328(f328(f83(a103),f81(a103)),f274(x65401,f328(f328(f39(a103),x65402),x65401))),f274(x65401,x65402))+P107(f328(f328(f240(a103),x65402),x65401))
% 28.33/28.21 [7138]~P93(x71381)+~P107(f328(f328(f330(x71381),x71382),f114(x71381)))+~E(f328(f328(f83(x71381),f328(f328(f83(x71381),f81(x71381)),x71382)),x71382),f2(x71381))
% 28.33/28.21 [7250]~P107(f328(f328(f240(a1),x72501),f2(a1)))+~P107(f328(f328(f239(a1),x72502),f2(a1)))+E(f328(f255(a1,a1),f328(a54,f50(f328(f82(a1),x72501),f328(f82(a1),x72502)))),f328(f328(f39(a1),x72501),x72502))
% 28.33/28.21 [7267]~P107(f328(f328(f240(a1),x72671),f2(a1)))+~P107(f328(f328(f239(a1),x72672),f2(a1)))+E(f328(f260(a1,a1),f328(a54,f50(f328(f82(a1),x72671),f328(f82(a1),x72672)))),f48(a1,x72671,x72672))
% 28.33/28.21 [7273]~P107(f328(f328(f240(a1),x72732),f2(a1)))+E(f328(f255(a1,a1),f328(a54,f53(f328(f82(a1),x72731),f328(f82(a1),x72732)))),f328(f328(f39(a1),x72731),x72732))+~P107(f328(f328(f240(a1),f2(a1)),x72731))
% 28.33/28.21 [7291]~P107(f328(f328(f240(a1),x72912),f2(a1)))+E(f328(f260(a1,a1),f328(a54,f53(f328(f82(a1),x72911),f328(f82(a1),x72912)))),f48(a1,x72911,x72912))+~P107(f328(f328(f240(a1),f2(a1)),x72911))
% 28.33/28.21 [7344]E(f328(f328(f39(a1),f328(f328(f248(a1),x73441),x73442)),x73441),f328(f328(f248(a1),x73441),f328(f328(f3(a911),x73442),f328(a116,f2(a911)))))+~P107(f328(f328(f240(a911),f2(a911)),x73442))+~P107(f328(f328(f240(a1),f2(a1)),x73441))
% 28.33/28.21 [7450]~P107(f328(f328(f240(a911),f2(a911)),x74501))+~P107(f328(f328(f240(a911),f81(a911)),x74502))+P107(f328(f328(f240(a911),f328(f328(f39(a911),x74501),x74502)),x74501))
% 28.33/28.21 [7451]~P107(f328(f328(f240(a911),f2(a911)),x74511))+~P107(f328(f328(f240(a911),f2(a911)),x74512))+P107(f328(f328(f240(a911),f328(f328(f3(a911),x74511),x74512)),x74511))
% 28.33/28.21 [7452]~P107(f328(f328(f240(a1),f2(a1)),x74521))+~P107(f328(f328(f240(a1),f81(a1)),x74522))+P107(f328(f328(f240(a1),f328(f328(f39(a1),x74521),x74522)),x74521))
% 28.33/28.21 [7599]E(x75991,f2(a911))+~E(x75992,f2(a1))+~P107(f328(f328(f240(a1),f2(a1)),f328(f328(f248(a1),f328(f79(a1),x75992)),x75991)))
% 28.33/28.21 [8020]~E(x80202,f117(f912(x80201)))+E(f328(f191(f912(f912(x80201))),f181(x80201,x80202)),f2(a911))+~P18(a911,f328(f170(a911),f328(f328(f156(f912(x80201),a911),f191(f912(x80201))),x80202)))
% 28.33/28.21 [8280]P107(f328(x82801,x82802))+~P107(f328(x82801,f328(a111,f523(x82801,x82802))))+~P107(f328(f328(f330(f918(f917(a911,a911),a905)),x82802),a102))
% 28.33/28.21 [8296]E(x82961,f117(f912(x82962)))+E(f328(f191(f912(x82962)),f328(f328(f166(f912(x82962)),x82961),f2(a911))),f328(f191(f912(f912(x82962))),f181(x82962,x82961)))+~P18(a911,f328(f170(a911),f328(f328(f156(f912(x82962),a911),f191(f912(x82962))),x82961)))
% 28.33/28.21 [8438]~P44(x84381,x84382)+~P45(x84381,x84382)+P44(x84381,f328(f328(f3(f918(f917(x84381,x84381),a905)),x84382),f308(x84381,f190(f918(f917(x84381,x84381),a905)))))
% 28.33/28.21 [9005]~P107(f328(f64(x90051),f328(f266(x90051),x90052)))+~P107(f328(f64(x90051),f246(f918(x90051,a905))))+P107(f328(f64(x90051),f328(f266(x90051),f328(f328(f10(a905,a905,x90051),a323),x90052))))
% 28.33/28.21 [9072]E(f328(f328(f256(a911,a911),f328(a116,f328(f328(f39(a911),f328(f328(f3(a911),x90721),x90722)),x90722))),f48(a911,f328(f328(f3(a911),x90721),x90722),x90722)),f88(f917(a911,a911),f51(x90721,x90722)))+~P107(f328(f328(f240(a911),f2(a911)),x90722))+~P107(f328(f328(f239(a911),x90722),x90721))
% 28.33/28.21 [9356]~P107(f328(f64(x93561),f328(f266(x93561),x93562)))+P107(f328(f64(x93561),f246(f918(x93561,a905))))+~P107(f328(f64(x93561),f328(f266(x93561),f328(f328(f10(a905,a905,x93561),a323),x93562))))
% 28.33/28.21 [10055]P32(x100551,x100552)+~P43(x100551,f328(f255(f918(f917(x100551,x100551),a905),f918(f917(x100551,x100551),a905)),x100552))+~P107(f328(f328(f239(f918(f917(x100551,x100551),a905)),f328(f328(f290(x100551,x100551,x100551),f328(f255(f918(f917(x100551,x100551),a905),f918(f917(x100551,x100551),a905)),x100552)),f328(f260(f918(f917(x100551,x100551),a905),f918(f917(x100551,x100551),a905)),x100552))),f328(f255(f918(f917(x100551,x100551),a905),f918(f917(x100551,x100551),a905)),x100552)))
% 28.33/28.21 [10088]E(f328(f46(f328(f108(a1),x100881)),f50(f328(f108(a1),x100882),f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f328(f108(a1),x100881)))),f50(f328(f108(a1),x100882),f328(f108(a1),x100881)))+~P107(f328(f328(f240(a1),f2(a1)),f328(f108(a1),x100881)))+P107(f328(f328(f240(a1),f328(f108(a1),x100882)),f328(f108(a1),x100881)))
% 28.33/28.21 [10094]E(f328(f46(f328(f108(a1),x100941)),f53(f328(f108(a1),x100942),f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f328(f108(a1),x100941)))),f53(f328(f108(a1),x100942),f328(f108(a1),x100941)))+~P107(f328(f328(f240(a1),f2(a1)),f328(f108(a1),x100941)))+P107(f328(f328(f239(a1),f2(a1)),f328(f328(f83(a1),f328(f108(a1),x100942)),f328(f108(a1),x100941))))
% 28.33/28.21 [7373]~P107(f328(f328(f240(a911),f2(a911)),x73732))+P107(f328(f328(f240(a911),x73731),x73732))+E(f328(a116,f328(f328(f39(a911),f328(f328(f3(a911),x73731),x73732)),x73732)),f328(f328(f39(a911),x73731),x73732))
% 28.33/28.21 [7374]~P107(f328(f328(f240(a911),f2(a911)),x73742))+P107(f328(f328(f240(a911),x73741),x73742))+E(f328(a116,f328(f328(f39(a911),f328(f328(f3(a911),x73741),x73742)),x73742)),f328(f328(f39(a911),x73741),x73742))
% 28.33/28.21 [7518]~P107(f328(f328(f240(a911),f2(a911)),x75182))+~P107(f328(f328(f239(a911),x75182),x75181))+E(f328(a116,f328(f328(f39(a911),f328(f328(f3(a911),x75181),x75182)),x75182)),f328(f328(f39(a911),x75181),x75182))
% 28.33/28.21 [8500]~P94(x85001)+~P93(x85001)+~P35(x85001,f328(f108(x85001),f328(f328(f3(a1),f328(f328(f83(a1),x85002),x85002)),a101)))
% 28.33/28.21 [9259]E(x92591,f2(a911))+E(f328(f328(f261(a911,a911,f917(a911,a911)),f328(f328(f10(a911,f918(a911,f917(a911,a911)),a911),f256(a911,a911)),a116)),f88(f917(a911,a911),f51(f328(f328(f3(a911),x92592),x92591),x92591))),f88(f917(a911,a911),f51(x92592,x92591)))+P107(f328(f328(f240(a911),x92592),x92591))
% 28.33/28.21 [9438]~P44(x94381,x94382)+~P58(x94381,x94382)+P107(f328(f328(f239(f918(f917(x94381,x94381),a905)),f328(f328(f290(x94381,x94381,x94381),f328(f288(x94381,x94381),x94382)),x94382)),x94382))
% 28.33/28.21 [9684]P107(f328(x96842,f778(x96842,x96841)))+P107(f328(x96841,f778(x96842,x96841)))+E(f328(f266(a1),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a326),f328(f239(a1),f2(a1)))),x96841)),f328(f266(a1),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a326),f328(f239(a1),f2(a1)))),x96842)))
% 28.33/28.21 [9688]~P107(f328(x96882,f778(x96882,x96881)))+~P107(f328(x96881,f778(x96882,x96881)))+E(f328(f266(a1),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a326),f328(f239(a1),f2(a1)))),x96881)),f328(f266(a1),f328(f328(f20(a1,a905,a905),f328(f328(f10(a905,f918(a905,a905),a1),a326),f328(f239(a1),f2(a1)))),x96882)))
% 28.33/28.21 [7731]~P94(x77311)+~P70(x77311)+E(f328(f328(f291(x77311),x77312),f328(f108(x77311),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))),x77312)
% 28.33/28.21 [7732]~P94(x77321)+~P70(x77321)+E(f328(f328(f291(x77321),x77322),f328(f108(x77321),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))),x77322)
% 28.33/28.21 [9387]~P94(x93871)+~E(f328(f108(x93871),x93872),f81(x93871))+P35(x93871,f328(f108(x93871),f328(f328(f83(a1),x93872),f328(f82(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))
% 28.33/28.21 [9565]~P142(x95651)+~E(x95652,f2(x95651))+E(f328(f328(f248(x95651),x95652),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f2(x95651))
% 28.33/28.21 [9566]~P142(x95661)+~E(x95662,f81(x95661))+E(f328(f328(f248(x95661),x95662),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f81(x95661))
% 28.33/28.21 [9581]~P142(x95811)+~E(x95812,f328(f82(x95811),f81(x95811)))+E(f328(f328(f248(x95811),x95812),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f81(x95811))
% 28.33/28.21 [9600]~P84(x96001)+~P95(x96001)+E(f328(f328(f248(x96001),f328(f108(x96001),x96002)),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f328(f328(f84(x96001),f328(f108(x96001),x96002)),f328(f108(x96001),x96002)))
% 28.33/28.21 [9625]~P94(x96251)+E(f328(f108(x96251),x96252),f81(x96251))+~P35(x96251,f328(f108(x96251),f328(f328(f83(a1),x96252),f328(f82(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))
% 28.33/28.21 [9739]~P142(x97392)+E(x97391,f2(x97392))+~E(f328(f328(f248(x97392),x97391),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f2(x97392))
% 28.33/28.21 [9998]~P113(x99982)+E(x99981,f2(x99982))+P107(f328(f328(f240(x99982),f2(x99982)),f328(f328(f248(x99982),x99981),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))))
% 28.33/28.21 [10054]~P113(x100542)+~E(x100541,f2(x100542))+~P107(f328(f328(f240(x100542),f2(x100542)),f328(f328(f248(x100542),x100541),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))))
% 28.33/28.21 [10079]P107(f328(f328(f239(a1),x100791),f2(a1)))+P107(f328(f328(f240(a1),x100792),x100791))+E(f328(f46(x100791),f50(x100792,f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x100791))),f50(x100792,x100791))
% 28.33/28.21 [10080]~P107(f328(f328(f240(a1),f2(a1)),x100801))+P107(f328(f328(f240(a1),x100802),x100801))+E(f328(f46(x100801),f50(x100802,f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x100801))),f50(x100802,x100801))
% 28.33/28.21 [10081]P107(f328(f328(f239(a1),x100811),f2(a1)))+P107(f328(f328(f239(a1),f2(a1)),f328(f328(f83(a1),x100812),x100811)))+E(f328(f46(x100811),f53(x100812,f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x100811))),f53(x100812,x100811))
% 28.33/28.21 [10082]~P107(f328(f328(f240(a1),f2(a1)),x100821))+P107(f328(f328(f239(a1),f2(a1)),f328(f328(f83(a1),x100822),x100821)))+E(f328(f46(x100821),f53(x100822,f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x100821))),f53(x100822,x100821))
% 28.33/28.21 [10083]~P108(x100831)+~P107(f328(f328(f239(a1),f2(a1)),x100832))+E(f328(f104(x100831),f328(a109,f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x100832))),f328(f328(f83(x100831),f328(f104(x100831),f328(a109,x100832))),f328(f104(x100831),f328(a109,x100832))))
% 28.33/28.21 [5175]~P147(x51751,x51752,x51753)+~E(x51753,f2(a1))+P107(f328(x51751,x51752))
% 28.33/28.21 [5298]~P109(x52981)+~P18(x52981,x52983)+P18(x52981,f172(x52981,x52982,x52983))
% 28.33/28.21 [5299]~P109(x52991)+~P18(x52991,x52993)+P18(x52991,f179(x52991,x52992,x52993))
% 28.33/28.21 [4868]~P77(x48682)+~E(x48683,f328(f82(x48682),x48681))+E(x48681,f328(f82(x48682),x48683))
% 28.33/28.21 [4869]~P77(x48692)+~E(x48693,f328(f82(x48692),x48691))+E(x48691,f328(f82(x48692),x48693))
% 28.33/28.21 [4870]~P77(x48701)+~E(f328(f82(x48701),x48703),x48702)+E(f328(f82(x48701),x48702),x48703)
% 28.33/28.21 [4871]~P77(x48711)+~E(f328(f82(x48711),x48713),x48712)+E(f328(f82(x48711),x48712),x48713)
% 28.33/28.21 [4950]~P92(x49503)+E(x49501,x49502)+~E(f328(f104(x49503),x49501),f328(f104(x49503),x49502))
% 28.33/28.21 [4951]~P93(x49513)+E(x49511,x49512)+~E(f328(f107(x49513),x49511),f328(f107(x49513),x49512))
% 28.33/28.21 [4952]~P77(x49523)+E(x49521,x49522)+~E(f328(f82(x49523),x49521),f328(f82(x49523),x49522))
% 28.33/28.21 [4953]~P96(x49533)+E(x49531,x49532)+~E(f328(f82(x49533),x49531),f328(f82(x49533),x49532))
% 28.33/28.21 [4954]~P109(x49543)+E(x49541,x49542)+~E(f328(f302(x49543),x49541),f328(f302(x49543),x49542))
% 28.33/28.21 [4955]~P109(x49553)+E(x49551,x49552)+~E(f328(f284(x49553),x49551),f328(f284(x49553),x49552))
% 28.33/28.21 [4956]~P109(x49563)+E(x49561,x49562)+~E(f328(f285(x49563),x49561),f328(f285(x49563),x49562))
% 28.33/28.21 [4957]~P109(x49573)+E(x49571,x49572)+~E(f328(f305(x49573),x49571),f328(f305(x49573),x49572))
% 28.33/28.21 [5058]~P68(x50581)+~P107(f328(x50582,x50583))+P107(f328(f59(x50581),x50582))
% 28.33/28.21 [5059]~P68(x50591)+~P107(f328(x50592,x50593))+P107(f328(f59(x50591),x50592))
% 28.33/28.21 [5094]~P68(x50943)+P107(f328(x50941,x50942))+~P107(f328(f60(x50943),x50941))
% 28.33/28.21 [5095]~P68(x50953)+P107(f328(x50951,x50952))+~P107(f328(f60(x50953),x50951))
% 28.33/28.21 [5194]~P148(x51941,x51943,x51942)+~E(x51942,f2(a1))+P107(f328(x51941,f2(a1)))
% 28.33/28.21 [5233]~E(x52331,f2(a911))+E(f349(x52331,x52332,x52333),f190(f918(x52333,a905)))+~E(f328(f38(x52333),x52332),f328(a116,x52331))
% 28.33/28.21 [5382]~E(x53822,f2(a911))+E(f328(f255(a911,a911),x53821),f2(a911))+~P107(f328(f51(x53823,x53822),x53821))
% 28.33/28.21 [5429]P107(f328(x54291,x54292))+~E(x54293,f328(f104(a1),x54292))+~P107(f328(x54291,f328(a109,x54293)))
% 28.33/28.21 [5907]~E(x59073,f2(a911))+~P107(f328(x59071,x59072))+P107(f328(x59071,f48(a911,x59072,x59073)))
% 28.33/28.21 [6140]~P105(x61402)+~P105(x61401)+E(f133(x61401,x61402,f134(x61401,x61403),f134(x61402,x61403)),f134(f917(x61401,x61402),x61403))
% 28.33/28.21 [6322]~E(x63223,f2(a911))+P107(f328(x63221,x63222))+~P107(f328(x63221,f48(a911,x63222,x63223)))
% 28.33/28.21 [6995]E(x69951,f2(a911))+~P107(f328(x69952,f861(x69951,x69953,x69952)))+P107(f328(x69952,f48(a911,x69953,x69951)))
% 28.33/28.21 [7104]~P10(x71041)+~P107(f328(f328(f239(x71041),x71042),f636(x71043,x71042,x71041)))+P107(f328(f328(f239(x71041),x71042),f41(x71041,x71043)))
% 28.33/28.21 [7106]~P107(f328(x71061,x71062))+~P107(f328(x71061,f861(x71063,x71062,x71061)))+P107(f328(x71061,f48(a911,x71062,x71063)))
% 28.33/28.21 [7206]E(x72061,f117(x72062))+E(f328(f328(f153(x72062),f601(x72063,x72061,x72062)),f606(x72063,x72061,x72062)),x72061)+~P107(f328(f328(f330(f912(x72062)),x72061),f163(x72062,x72063)))
% 28.33/28.21 [7239]~P140(x72391)+~P107(f328(f328(f330(x72391),x72392),f114(x72391)))+P107(f328(f328(f330(x72391),f328(f328(f248(x72391),x72392),x72393)),f114(x72391)))
% 28.33/28.21 [7567]P43(x75671,x75672)+~P107(f328(f328(f330(x75671),x75673),f760(x75672,x75671)))+P107(f328(f328(f330(x75671),f777(x75672,x75671,x75673)),f760(x75672,x75671)))
% 28.33/28.21 [7836]E(x78361,f117(x78362))+~P107(f328(f328(f330(f912(x78362)),x78361),f163(x78362,x78363)))+P107(f328(f328(f330(f912(x78362)),f606(x78363,x78361,x78362)),f163(x78362,x78363)))
% 28.33/28.21 [7889]E(x78891,f2(a911))+E(f328(f328(f83(a911),f328(f328(f84(a911),x78891),f863(x78891,x78892,x78893))),f861(x78891,x78892,x78893)),x78892)+P107(f328(x78893,f48(a911,x78892,x78891)))
% 28.33/28.21 [7932]~P107(f328(x79323,x79322))+E(f328(f328(f83(a911),f328(f328(f84(a911),x79321),f863(x79321,x79322,x79323))),f861(x79321,x79322,x79323)),x79322)+P107(f328(x79323,f48(a911,x79322,x79321)))
% 28.33/28.21 [8076]P107(f328(f328(f240(a1),x80761),f838(x80762,x80763,x80761)))+P107(f328(f328(x80763,f328(f328(f39(a1),x80762),x80761)),f48(a1,x80762,x80761)))+~P107(f328(f328(f240(a1),x80761),f2(a1)))
% 28.33/28.21 [8352]P107(f328(f328(x83522,f328(f328(f39(a1),x83521),x83523)),f48(a1,x83521,x83523)))+~P107(f328(f328(f240(a1),x83523),f2(a1)))+P107(f328(f328(f239(a1),f838(x83521,x83522,x83523)),f2(a1)))
% 28.33/28.21 [8535]E(f328(f328(f83(a1),f328(f328(f84(a1),x85351),f829(x85352,x85353,x85351))),f838(x85352,x85353,x85351)),x85352)+P107(f328(f328(x85353,f328(f328(f39(a1),x85352),x85351)),f48(a1,x85352,x85351)))+~P107(f328(f328(f240(a1),x85351),f2(a1)))
% 28.33/28.21 [8780]~P107(f328(f328(x87801,f829(x87802,x87801,x87803)),f838(x87802,x87801,x87803)))+P107(f328(f328(x87801,f328(f328(f39(a1),x87802),x87803)),f48(a1,x87802,x87803)))+~P107(f328(f328(f240(a1),x87803),f2(a1)))
% 28.33/28.21 [9018]~P109(x90181)+~P18(x90181,x90183)+P18(x90181,f151(x90181,x90181,f7(x90181),x90182,x90183))
% 28.33/28.21 [9513]~P127(x95132)+E(x95131,f2(x95132))+~P107(f328(f328(f239(x95132),f328(f328(f83(x95132),f328(f328(f84(x95132),x95133),x95133)),f328(f328(f84(x95132),x95131),x95131))),f2(x95132)))
% 28.33/28.21 [9514]~P127(x95142)+E(x95141,f2(x95142))+~P107(f328(f328(f239(x95142),f328(f328(f83(x95142),f328(f328(f84(x95142),x95141),x95141)),f328(f328(f84(x95142),x95143),x95143))),f2(x95142)))
% 28.33/28.21 [10286]~P113(x102861)+~P107(f328(f328(f240(x102861),x102862),f2(x102861)))+P107(f328(f328(f240(x102861),f328(f328(f248(x102861),x102862),f328(a116,f328(f328(f84(a911),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x102863)))),f2(x102861)))
% 28.33/28.21 [10296]~P113(x102962)+E(x102961,f2(x102962))+~P107(f328(f328(f239(x102962),f328(f328(f83(x102962),f328(f328(f248(x102962),x102963),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))),f328(f328(f248(x102962),x102961),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))),f2(x102962)))
% 28.33/28.21 [10297]~P113(x102972)+E(x102971,f2(x102972))+~P107(f328(f328(f239(x102972),f328(f328(f83(x102972),f328(f328(f248(x102972),x102971),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))),f328(f328(f248(x102972),x102973),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))),f2(x102972)))
% 28.33/28.21 [4905]~E(x49052,x49053)+~P77(x49051)+E(f328(f328(f3(x49051),x49052),x49053),f2(x49051))
% 28.33/28.21 [4906]~E(x49062,x49063)+~P7(x49061)+E(f328(f328(f3(x49061),x49062),x49063),f2(x49061))
% 28.33/28.21 [4919]~P145(x49191)+~E(x49193,f2(x49191))+E(f328(f328(f83(x49191),x49192),x49193),x49192)
% 28.33/28.21 [4937]~P141(x49371)+~E(x49373,f2(x49371))+E(f328(f328(f84(x49371),x49372),x49373),f2(x49371))
% 28.33/28.21 [4938]~P141(x49381)+~E(x49382,f2(x49381))+E(f328(f328(f84(x49381),x49382),x49383),f2(x49381))
% 28.33/28.21 [4958]~E(x49583,f117(x49581))+~E(x49582,f117(x49581))+E(f328(f328(f136(x49581),x49582),x49583),f117(x49581))
% 28.33/28.21 [4959]~E(x49593,f117(x49591))+~E(x49592,f117(x49591))+E(f328(f328(f136(x49591),x49592),x49593),f117(x49591))
% 28.33/28.21 [5049]~P145(x50492)+E(x50491,f2(x50492))+~E(f328(f328(f83(x50492),x50493),x50491),x50493)
% 28.33/28.21 [5050]~P77(x50501)+~E(x50502,f328(f82(x50501),x50503))+E(f328(f328(f83(x50501),x50502),x50503),f2(x50501))
% 28.33/28.21 [5057]E(x50571,f117(x50572))+E(x50573,f2(a911))+~E(f328(f328(f177(x50572),x50573),x50571),f117(x50572))
% 28.33/28.21 [5063]~P77(x50633)+E(x50631,x50632)+~E(f328(f328(f3(x50633),x50631),x50632),f2(x50633))
% 28.33/28.21 [5064]~P7(x50643)+E(x50641,x50642)+~E(f328(f328(f3(x50643),x50641),x50642),f2(x50643))
% 28.33/28.21 [5077]~P142(x50772)+E(x50771,f2(x50772))+~E(f328(f328(f248(x50772),x50771),x50773),f2(x50772))
% 28.33/28.21 [5078]~P98(x50782)+E(x50781,f190(x50782))+~E(f328(f328(f105(x50782),x50783),x50781),f190(x50782))
% 28.33/28.21 [5079]~P98(x50792)+E(x50791,f190(x50792))+~E(f328(f328(f105(x50792),x50791),x50793),f190(x50792))
% 28.33/28.21 [5080]~P103(x50802)+E(x50801,f246(x50802))+~E(f328(f328(f106(x50802),x50803),x50801),f246(x50802))
% 28.33/28.21 [5081]~P103(x50812)+E(x50811,f246(x50812))+~E(f328(f328(f106(x50812),x50811),x50813),f246(x50812))
% 28.33/28.21 [5149]~P77(x51492)+E(x51491,f328(f82(x51492),x51493))+~E(f328(f328(f83(x51492),x51491),x51493),f2(x51492))
% 28.33/28.21 [5150]~P77(x51501)+E(f328(f82(x51501),x51502),x51503)+~E(f328(f328(f83(x51501),x51502),x51503),f2(x51501))
% 28.33/28.21 [5151]~E(x51512,x51513)+~P111(x51511)+P107(f328(f328(f239(x51511),x51512),x51513))
% 28.33/28.21 [5152]~E(x51522,x51523)+~P110(x51521)+P107(f328(f328(f239(x51521),x51522),x51523))
% 28.33/28.21 [5153]~E(x51532,x51533)+~P111(x51531)+P107(f328(f328(f239(x51531),x51532),x51533))
% 28.33/28.21 [5154]~E(x51542,x51543)+~P111(x51541)+P107(f328(f328(f239(x51541),x51542),x51543))
% 28.33/28.21 [5250]~P120(x52501)+~E(x52502,f328(f82(x52501),x52503))+E(f328(f328(f84(x52501),x52502),x52502),f328(f328(f84(x52501),x52503),x52503))
% 28.33/28.21 [5258]~P109(x52581)+~P18(x52581,x52583)+P18(x52581,f328(f328(f177(x52581),x52582),x52583))
% 28.33/28.21 [5259]~P109(x52591)+~P18(x52591,x52593)+P18(x52591,f328(f328(f140(x52591),x52592),x52593))
% 28.33/28.21 [5295]E(x52951,x52952)+E(x52953,f2(a911))+~E(f328(f328(f84(a911),x52953),x52951),f328(f328(f84(a911),x52953),x52952))
% 28.33/28.21 [5296]E(x52961,x52962)+E(x52963,f2(a911))+~E(f328(f328(f84(a911),x52963),x52961),f328(f328(f84(a911),x52963),x52962))
% 28.33/28.21 [5297]E(x52971,x52972)+E(x52973,f2(a911))+~E(f328(f328(f84(a911),x52971),x52973),f328(f328(f84(a911),x52972),x52973))
% 28.33/28.21 [5374]~E(x53742,x53743)+~P111(x53741)+E(f304(x53741,x53742,x53743),f328(f328(f310(x53741),x53742),f190(f918(x53741,a905))))
% 28.33/28.21 [5422]~E(x54221,x54222)+~P109(x54223)+~P107(f328(f328(f240(x54223),x54221),x54222))
% 28.33/28.21 [5423]~E(x54231,x54232)+~P109(x54233)+~P107(f328(f328(f240(x54233),x54231),x54232))
% 28.33/28.21 [5424]~E(x54241,x54242)+~P111(x54243)+~P107(f328(f328(f240(x54243),x54241),x54242))
% 28.33/28.21 [5425]~E(x54251,x54252)+~P111(x54253)+~P107(f328(f328(f240(x54253),x54251),x54252))
% 28.33/28.21 [5426]~E(x54261,x54262)+~P111(x54263)+~P107(f328(f328(f240(x54263),x54261),x54262))
% 28.33/28.21 [5427]~E(x54271,x54272)+~P109(x54273)+~P107(f328(f328(f240(x54273),x54271),x54272))
% 28.33/28.21 [5428]~E(x54281,x54282)+~P111(x54283)+~P107(f328(f328(f240(x54283),x54281),x54282))
% 28.33/28.21 [5439]~P111(x54391)+E(f328(f303(x54391,x54392),x54393),f190(f918(x54391,a905)))+P107(f328(f328(f240(x54391),x54392),x54393))
% 28.33/28.21 [5440]~P111(x54401)+E(f328(f303(x54401,x54402),x54403),f190(f918(x54401,a905)))+P107(f328(f328(f240(x54401),x54402),x54403))
% 28.33/28.21 [5489]~P111(x54891)+E(f306(x54891,x54892,x54893),f190(f918(x54891,a905)))+P107(f328(f328(f240(x54891),x54892),x54893))
% 28.33/28.21 [5490]~P111(x54901)+E(f304(x54901,x54902,x54903),f190(f918(x54901,a905)))+P107(f328(f328(f239(x54901),x54902),x54903))
% 28.33/28.21 [5491]~P111(x54911)+E(f190(f918(x54911,a905)),f306(x54911,x54912,x54913))+P107(f328(f328(f240(x54911),x54912),x54913))
% 28.33/28.21 [5492]~P111(x54921)+E(f190(f918(x54921,a905)),f304(x54921,x54922,x54923))+P107(f328(f328(f239(x54921),x54922),x54923))
% 28.33/28.21 [5499]~P109(x54991)+~E(f328(f328(f243(x54991),x54992),x54993),x54992)+P107(f328(f328(f239(x54991),x54992),x54993))
% 28.33/28.21 [5500]~P109(x55001)+~E(f328(f328(f238(x55001),x55002),x55003),x55003)+P107(f328(f328(f239(x55001),x55002),x55003))
% 28.33/28.21 [5501]~P100(x55011)+~E(f328(f328(f105(x55011),x55012),x55013),x55013)+P107(f328(f328(f239(x55011),x55012),x55013))
% 28.33/28.21 [5502]~P104(x55021)+~E(f328(f328(f106(x55021),x55022),x55023),x55022)+P107(f328(f328(f239(x55021),x55022),x55023))
% 28.33/28.21 [5520]~P109(x55201)+P18(x55201,x55202)+~P18(x55201,f328(f328(f136(x55201),x55203),x55202))
% 28.33/28.21 [5521]~P109(x55211)+P18(x55211,x55212)+~P18(x55211,f328(f328(f136(x55211),x55212),x55213))
% 28.33/28.21 [5522]~P109(x55221)+P18(x55221,x55222)+~P18(x55221,f328(f328(f153(x55221),x55223),x55222))
% 28.33/28.21 [5523]~P109(x55231)+P18(x55231,x55232)+~P18(x55231,f328(f328(f153(x55231),x55233),x55232))
% 28.33/28.21 [5586]~P109(x55861)+P107(f328(f328(f239(x55861),x55863),x55862))+P107(f328(f328(f240(x55861),x55862),x55863))
% 28.33/28.21 [5587]~P109(x55871)+P107(f328(f328(f239(x55871),x55873),x55872))+P107(f328(f328(f240(x55871),x55872),x55873))
% 28.33/28.21 [5588]~P109(x55881)+P107(f328(f328(f239(x55881),x55883),x55882))+P107(f328(f328(f240(x55881),x55882),x55883))
% 28.33/28.21 [5589]~P109(x55891)+P107(f328(f328(f239(x55891),x55893),x55892))+P107(f328(f328(f240(x55891),x55892),x55893))
% 28.33/28.21 [5590]~P109(x55901)+P107(f328(f328(f239(x55901),x55903),x55902))+P107(f328(f328(f240(x55901),x55902),x55903))
% 28.33/28.21 [5591]~P109(x55911)+P107(f328(f328(f239(x55911),x55913),x55912))+P107(f328(f328(f239(x55911),x55912),x55913))
% 28.33/28.21 [5592]~P109(x55921)+P107(f328(f328(f239(x55921),x55923),x55922))+P107(f328(f328(f239(x55921),x55922),x55923))
% 28.33/28.21 [5631]~P109(x56311)+E(f328(f328(f243(x56311),x56312),x56313),x56313)+~P107(f328(f328(f239(x56311),x56313),x56312))
% 28.33/28.21 [5632]~P109(x56321)+E(f328(f328(f243(x56321),x56322),x56323),x56322)+~P107(f328(f328(f239(x56321),x56322),x56323))
% 28.33/28.21 [5633]~P109(x56331)+E(f328(f328(f243(x56331),x56332),x56333),x56332)+~P107(f328(f328(f239(x56331),x56332),x56333))
% 28.33/28.21 [5634]~P109(x56341)+E(f328(f328(f238(x56341),x56342),x56343),x56342)+~P107(f328(f328(f239(x56341),x56343),x56342))
% 28.33/28.21 [5635]~P109(x56351)+E(f328(f328(f238(x56351),x56352),x56353),x56353)+~P107(f328(f328(f239(x56351),x56352),x56353))
% 28.33/28.21 [5636]~P109(x56361)+E(f328(f328(f238(x56361),x56362),x56363),x56363)+~P107(f328(f328(f239(x56361),x56362),x56363))
% 28.33/28.21 [5637]~P100(x56371)+E(f328(f328(f105(x56371),x56372),x56373),x56372)+~P107(f328(f328(f239(x56371),x56373),x56372))
% 28.33/28.21 [5638]~P100(x56381)+E(f328(f328(f105(x56381),x56382),x56383),x56383)+~P107(f328(f328(f239(x56381),x56382),x56383))
% 28.33/28.21 [5639]~P100(x56391)+E(f328(f328(f105(x56391),x56392),x56393),x56393)+~P107(f328(f328(f239(x56391),x56392),x56393))
% 28.33/28.21 [5640]~P104(x56401)+E(f328(f328(f106(x56401),x56402),x56403),x56403)+~P107(f328(f328(f239(x56401),x56403),x56402))
% 28.33/28.21 [5641]~P104(x56411)+E(f328(f328(f106(x56411),x56412),x56413),x56412)+~P107(f328(f328(f239(x56411),x56412),x56413))
% 28.33/28.21 [5642]~P104(x56421)+E(f328(f328(f106(x56421),x56422),x56423),x56422)+~P107(f328(f328(f239(x56421),x56422),x56423))
% 28.33/28.21 [5649]~P121(x56492)+E(x56491,f2(x56492))+E(f328(f328(f291(x56492),f328(f82(x56492),x56493)),f328(f82(x56492),x56491)),f328(f328(f291(x56492),x56493),x56491))
% 28.33/28.21 [5700]~P111(x57001)+E(f328(f303(x57001,x57002),x57003),f190(f918(x57001,a905)))+~P107(f328(f328(f239(x57001),x57003),x57002))
% 28.33/28.21 [5732]~P111(x57321)+E(f307(x57321,x57322,x57323),f190(f918(x57321,a905)))+~P107(f328(f328(f239(x57321),x57323),x57322))
% 28.33/28.21 [5733]~P111(x57331)+E(f306(x57331,x57332,x57333),f190(f918(x57331,a905)))+~P107(f328(f328(f239(x57331),x57333),x57332))
% 28.33/28.21 [5734]~P111(x57341)+E(f304(x57341,x57342,x57343),f190(f918(x57341,a905)))+~P107(f328(f328(f240(x57341),x57343),x57342))
% 28.33/28.21 [5787]~E(f328(f328(f3(a911),x57871),x57873),x57872)+E(x57871,f328(f328(f83(a911),x57872),x57873))+~P107(f328(f328(f239(a911),x57873),x57871))
% 28.33/28.21 [5788]~E(x57881,f328(f328(f83(a911),x57883),x57882))+E(f328(f328(f3(a911),x57881),x57882),x57883)+~P107(f328(f328(f239(a911),x57882),x57881))
% 28.33/28.21 [5833]~P107(f328(x58331,x58333))+P107(f328(x58331,f379(x58331,x58332)))+~P107(f328(f328(f239(a911),x58333),x58332))
% 28.33/28.21 [5834]~P107(f328(x58341,x58343))+P107(f328(x58341,f457(x58341,x58342)))+~P107(f328(f328(f240(a911),x58343),x58342))
% 28.33/28.21 [5841]~P111(x58411)+~E(f328(f303(x58411,x58412),x58413),f190(f918(x58411,a905)))+~P107(f328(f328(f240(x58411),x58412),x58413))
% 28.33/28.21 [5842]~P111(x58421)+~E(f328(f303(x58421,x58422),x58423),f190(f918(x58421,a905)))+~P107(f328(f328(f240(x58421),x58422),x58423))
% 28.33/28.21 [5846]~P110(x58461)+~P107(f328(f328(f240(x58461),x58462),x58463))+P107(f328(f328(f239(x58461),x58462),x58463))
% 28.33/28.21 [5847]~P110(x58471)+~P107(f328(f328(f240(x58471),x58472),x58473))+P107(f328(f328(f239(x58471),x58472),x58473))
% 28.33/28.21 [5848]~P111(x58481)+~P107(f328(f328(f240(x58481),x58482),x58483))+P107(f328(f328(f239(x58481),x58482),x58483))
% 28.33/28.21 [5849]~P111(x58491)+~P107(f328(f328(f240(x58491),x58492),x58493))+P107(f328(f328(f239(x58491),x58492),x58493))
% 28.33/28.21 [5956]~P111(x59561)+~E(f306(x59561,x59562,x59563),f190(f918(x59561,a905)))+~P107(f328(f328(f240(x59561),x59562),x59563))
% 28.33/28.21 [5957]~P111(x59571)+~E(f304(x59571,x59572,x59573),f190(f918(x59571,a905)))+~P107(f328(f328(f239(x59571),x59572),x59573))
% 28.33/28.21 [5958]~P111(x59581)+~E(f190(f918(x59581,a905)),f306(x59581,x59582,x59583))+~P107(f328(f328(f240(x59581),x59582),x59583))
% 28.33/28.21 [5959]~P111(x59591)+~E(f190(f918(x59591,a905)),f304(x59591,x59592,x59593))+~P107(f328(f328(f239(x59591),x59592),x59593))
% 28.33/28.21 [5973]P107(f328(x59731,x59732))+~P107(f328(x59731,f432(x59731,x59733)))+~P107(f328(f328(f239(a911),x59732),x59733))
% 28.33/28.21 [5974]P107(f328(x59741,x59742))+~P107(f328(x59741,f467(x59741,x59743)))+~P107(f328(f328(f240(a911),x59742),x59743))
% 28.33/28.21 [5982]~E(x59821,f328(a116,x59823))+P107(f328(f328(f240(a911),x59821),f328(a116,x59822)))+~P107(f328(f328(f240(a911),x59823),x59822))
% 28.33/28.21 [6000]E(x60001,x60002)+~E(f328(f328(f84(a911),x60003),x60001),f328(f328(f84(a911),x60003),x60002))+~P107(f328(f328(f240(a911),f2(a911)),x60003))
% 28.33/28.21 [6056]E(f328(x60561,f480(x60561,x60562,x60563)),f81(a911))+~E(f328(f328(f8(x60563,a911),x60561),x60562),f81(a911))+~P107(f328(f64(x60563),x60562))
% 28.33/28.21 [6071]~P10(x60711)+P107(f328(f328(f239(x60711),x60712),f40(x60711,x60713)))+~P107(f328(f328(f330(x60711),x60712),x60713))
% 28.33/28.21 [6095]~P109(x60951)+~P107(f328(f328(f240(x60951),x60953),x60952))+~P107(f328(f328(f240(x60951),x60952),x60953))
% 28.33/28.22 [6096]~P109(x60961)+~P107(f328(f328(f239(x60961),x60963),x60962))+~P107(f328(f328(f240(x60961),x60962),x60963))
% 28.33/28.22 [6097]~P109(x60971)+~P107(f328(f328(f239(x60971),x60973),x60972))+~P107(f328(f328(f240(x60971),x60972),x60973))
% 28.33/28.22 [6098]~P109(x60981)+~P107(f328(f328(f239(x60981),x60983),x60982))+~P107(f328(f328(f240(x60981),x60982),x60983))
% 28.33/28.22 [6099]~P110(x60991)+~P107(f328(f328(f240(x60991),x60993),x60992))+~P107(f328(f328(f240(x60991),x60992),x60993))
% 28.33/28.22 [6100]~P110(x61001)+~P107(f328(f328(f240(x61001),x61003),x61002))+~P107(f328(f328(f240(x61001),x61002),x61003))
% 28.33/28.22 [6101]~P110(x61011)+~P107(f328(f328(f240(x61011),x61013),x61012))+~P107(f328(f328(f240(x61011),x61012),x61013))
% 28.33/28.22 [6102]~P110(x61021)+~P107(f328(f328(f240(x61021),x61023),x61022))+~P107(f328(f328(f240(x61021),x61022),x61023))
% 28.33/28.22 [6103]~P110(x61031)+~P107(f328(f328(f239(x61031),x61033),x61032))+~P107(f328(f328(f240(x61031),x61032),x61033))
% 28.33/28.22 [6104]~P111(x61041)+~P107(f328(f328(f240(x61041),x61043),x61042))+~P107(f328(f328(f240(x61041),x61042),x61043))
% 28.33/28.22 [6132]~E(f328(x61322,f380(x61322,x61323,x61321)),f81(a911))+E(f328(f328(f11(x61321,a911),x61322),x61323),f81(a911))+~P107(f328(f64(x61321),x61323))
% 28.33/28.22 [6133]~E(f328(x61332,f481(x61332,x61333,x61331)),f2(a911))+E(f328(f328(f8(x61331,a911),x61332),x61333),f2(a911))+~P107(f328(f64(x61331),x61333))
% 28.33/28.22 [6149]~P112(x61491)+~P107(f328(f328(f239(x61491),x61493),x61492))+P107(f328(f328(f330(x61491),x61492),f328(f285(x61491),x61493)))
% 28.33/28.22 [6150]~P112(x61501)+~P107(f328(f328(f240(x61501),x61503),x61502))+P107(f328(f328(f330(x61501),x61502),f328(f305(x61501),x61503)))
% 28.33/28.22 [6151]~P112(x61511)+~P107(f328(f328(f239(x61511),x61512),x61513))+P107(f328(f328(f330(x61511),x61512),f328(f302(x61511),x61513)))
% 28.33/28.22 [6152]~P112(x61521)+~P107(f328(f328(f240(x61521),x61522),x61523))+P107(f328(f328(f330(x61521),x61522),f328(f284(x61521),x61523)))
% 28.33/28.22 [6164]E(f328(x61641,f482(x61641,x61642,x61643)),f328(a116,f2(a911)))+~E(f328(f328(f8(x61643,a911),x61641),x61642),f328(a116,f2(a911)))+~P107(f328(f64(x61643),x61642))
% 28.33/28.22 [6249]~P10(x62491)+~P107(f328(f328(f330(x62491),x62493),x62492))+P107(f328(f328(f239(x62491),f41(x62491,x62492)),x62493))
% 28.33/28.22 [6269]~P107(f328(f328(f239(a911),x62691),x62693))+P107(f328(f328(f239(a911),x62691),x62692))+~P107(f328(f328(f239(a911),x62693),x62692))
% 28.33/28.22 [6270]~P107(f328(f328(f239(a1),x62701),x62703))+P107(f328(f328(f239(a1),x62701),x62702))+~P107(f328(f328(f239(a1),x62703),x62702))
% 28.33/28.22 [6289]~P112(x62891)+~P107(f328(f328(f330(x62891),x62893),f328(f305(x62891),x62892)))+P107(f328(f328(f240(x62891),x62892),x62893))
% 28.33/28.22 [6290]~P112(x62901)+~P107(f328(f328(f330(x62901),x62902),f328(f284(x62901),x62903)))+P107(f328(f328(f240(x62901),x62902),x62903))
% 28.33/28.22 [6291]~P112(x62911)+~P107(f328(f328(f330(x62911),x62913),f328(f285(x62911),x62912)))+P107(f328(f328(f239(x62911),x62912),x62913))
% 28.33/28.22 [6292]~P112(x62921)+~P107(f328(f328(f330(x62921),x62922),f328(f302(x62921),x62923)))+P107(f328(f328(f239(x62921),x62922),x62923))
% 28.33/28.22 [6365]~P107(f328(x63651,x63652))+P107(f328(x63651,f819(x63651)))+~P107(f328(f328(f330(x63653),x63652),f246(f918(x63653,a905))))
% 28.33/28.22 [6504]~P71(x65041)+P107(f328(f328(f240(x65041),f2(x65041)),f859(x65043,x65042,x65041)))+P107(f328(f328(f239(x65041),x65042),x65043))
% 28.33/28.22 [6505]~P72(x65051)+P107(f328(f328(f240(x65051),f2(x65051)),f867(x65053,x65052,x65051)))+P107(f328(f328(f239(x65051),x65052),x65053))
% 28.33/28.22 [6573]~P82(x65731)+~P107(f328(f328(f240(x65731),x65733),f328(f82(x65731),x65732)))+P107(f328(f328(f240(x65731),x65732),f328(f82(x65731),x65733)))
% 28.33/28.22 [6574]~P82(x65741)+~P107(f328(f328(f240(x65741),x65743),f328(f82(x65741),x65742)))+P107(f328(f328(f240(x65741),x65742),f328(f82(x65741),x65743)))
% 28.33/28.22 [6575]~P82(x65751)+~P107(f328(f328(f239(x65751),x65753),f328(f82(x65751),x65752)))+P107(f328(f328(f239(x65751),x65752),f328(f82(x65751),x65753)))
% 28.33/28.22 [6576]~P82(x65761)+~P107(f328(f328(f239(x65761),x65763),f328(f82(x65761),x65762)))+P107(f328(f328(f239(x65761),x65762),f328(f82(x65761),x65763)))
% 28.33/28.22 [6588]~P107(f328(f328(f240(a911),x65881),x65883))+~P107(f328(f328(f240(a911),x65883),x65882))+P107(f328(f328(f240(a911),f328(a116,x65881)),x65882))
% 28.33/28.22 [6613]~P125(x66131)+P107(f328(f328(f240(x66131),f328(f104(x66131),x66132)),f328(f104(x66131),x66133)))+~P107(f328(f328(f240(a911),x66132),x66133))
% 28.33/28.22 [6614]~P113(x66141)+P107(f328(f328(f240(x66141),f328(f107(x66141),x66142)),f328(f107(x66141),x66143)))+~P107(f328(f328(f240(a1),x66142),x66143))
% 28.33/28.22 [6615]~P125(x66151)+P107(f328(f328(f240(x66151),f328(f104(x66151),x66152)),f328(f104(x66151),x66153)))+~P107(f328(f328(f240(a911),x66152),x66153))
% 28.33/28.22 [6616]~P125(x66161)+P107(f328(f328(f239(x66161),f328(f104(x66161),x66162)),f328(f104(x66161),x66163)))+~P107(f328(f328(f239(a911),x66162),x66163))
% 28.33/28.22 [6617]~P113(x66171)+P107(f328(f328(f239(x66171),f328(f107(x66171),x66172)),f328(f107(x66171),x66173)))+~P107(f328(f328(f239(a1),x66172),x66173))
% 28.33/28.22 [6623]~P109(x66231)+E(f328(f328(f105(f918(x66231,a905)),f328(f284(x66231),x66232)),f328(f303(x66231,x66232),x66233)),f328(f284(x66231),x66233))+~P107(f328(f328(f239(x66231),x66232),x66233))
% 28.33/28.22 [6654]~P82(x66541)+~P107(f328(f328(f240(x66541),x66543),x66542))+P107(f328(f328(f240(x66541),f328(f82(x66541),x66542)),f328(f82(x66541),x66543)))
% 28.33/28.22 [6655]~P82(x66551)+~P107(f328(f328(f239(x66551),x66553),x66552))+P107(f328(f328(f239(x66551),f328(f82(x66551),x66552)),f328(f82(x66551),x66553)))
% 28.33/28.22 [6656]~P82(x66561)+~P107(f328(f328(f239(x66561),x66563),x66562))+P107(f328(f328(f239(x66561),f328(f82(x66561),x66562)),f328(f82(x66561),x66563)))
% 28.33/28.22 [6657]~P96(x66571)+~P107(f328(f328(f239(x66571),x66573),x66572))+P107(f328(f328(f239(x66571),f328(f82(x66571),x66572)),f328(f82(x66571),x66573)))
% 28.33/28.22 [6658]~P96(x66581)+~P107(f328(f328(f239(x66581),x66583),x66582))+P107(f328(f328(f239(x66581),f328(f82(x66581),x66582)),f328(f82(x66581),x66583)))
% 28.33/28.22 [6691]~P109(x66911)+E(f328(f328(f105(f918(x66911,a905)),f328(f302(x66911),x66912)),f307(x66911,x66912,x66913)),f328(f284(x66911),x66913))+~P107(f328(f328(f240(x66911),x66912),x66913))
% 28.33/28.22 [6692]~P109(x66921)+E(f328(f328(f105(f918(x66921,a905)),f328(f302(x66921),x66922)),f306(x66921,x66922,x66923)),f328(f302(x66921),x66923))+~P107(f328(f328(f239(x66921),x66922),x66923))
% 28.33/28.22 [6693]~P109(x66931)+E(f328(f328(f105(f918(x66931,a905)),f328(f284(x66931),x66932)),f304(x66931,x66932,x66933)),f328(f302(x66931),x66933))+~P107(f328(f328(f239(x66931),x66932),x66933))
% 28.33/28.22 [6729]~P109(x67291)+E(f328(f328(f105(f918(x67291,a905)),f328(f303(x67291,x67292),x67293)),f328(f285(x67291),x67293)),f328(f285(x67291),x67292))+~P107(f328(f328(f239(x67291),x67292),x67293))
% 28.33/28.22 [6879]~P109(x68791)+E(f328(f328(f105(f918(x68791,a905)),f307(x68791,x68792,x68793)),f328(f285(x68791),x68793)),f328(f305(x68791),x68792))+~P107(f328(f328(f240(x68791),x68792),x68793))
% 28.33/28.22 [6880]~P109(x68801)+E(f328(f328(f105(f918(x68801,a905)),f306(x68801,x68802,x68803)),f328(f305(x68801),x68803)),f328(f305(x68801),x68802))+~P107(f328(f328(f239(x68801),x68802),x68803))
% 28.33/28.22 [6881]~P109(x68811)+E(f328(f328(f105(f918(x68811,a905)),f304(x68811,x68812,x68813)),f328(f305(x68811),x68813)),f328(f285(x68811),x68812))+~P107(f328(f328(f239(x68811),x68812),x68813))
% 28.33/28.22 [6900]P107(f328(x69001,x69002))+~P107(f328(f328(f239(a911),x69002),x69003))+P107(f328(f328(f330(a911),f432(x69001,x69003)),f304(a911,f2(a911),x69003)))
% 28.33/28.22 [6934]E(x69341,x69342)+~E(f328(f328(f166(x69343),x69341),f579(x69343,x69342,x69341)),f328(f328(f166(x69343),x69342),f579(x69343,x69342,x69341)))+~E(f328(f191(f912(x69343)),x69341),f328(f191(f912(x69343)),x69342))
% 28.33/28.22 [6940]~E(x69403,f328(f328(f39(a911),x69401),x69402))+~P107(f328(f328(f240(a911),f2(a911)),x69402))+P107(f328(f328(f240(a911),x69401),f328(f328(f84(a911),x69402),f328(a116,x69403))))
% 28.33/28.22 [6956]~P107(f328(x69561,x69563))+~P107(f328(f328(f239(a911),x69563),x69562))+P107(f328(f328(f330(a911),f379(x69561,x69562)),f304(a911,f2(a911),x69562)))
% 28.33/28.22 [6993]~P107(f328(x69931,x69933))+P107(f328(x69931,f434(x69931,x69932)))+~P107(f328(f328(f330(a911),x69933),f304(a911,f2(a911),x69932)))
% 28.33/28.22 [7011]~P125(x70113)+~P107(f328(f328(f240(x70113),f328(f104(x70113),x70111)),f328(f104(x70113),x70112)))+P107(f328(f328(f240(a911),x70111),x70112))
% 28.33/28.22 [7012]~P125(x70123)+~P107(f328(f328(f240(x70123),f328(f104(x70123),x70121)),f328(f104(x70123),x70122)))+P107(f328(f328(f240(a911),x70121),x70122))
% 28.33/28.22 [7013]~P113(x70133)+~P107(f328(f328(f240(x70133),f328(f107(x70133),x70131)),f328(f107(x70133),x70132)))+P107(f328(f328(f240(a1),x70131),x70132))
% 28.33/28.22 [7014]~P125(x70143)+~P107(f328(f328(f239(x70143),f328(f104(x70143),x70141)),f328(f104(x70143),x70142)))+P107(f328(f328(f239(a911),x70141),x70142))
% 28.33/28.22 [7015]~P113(x70153)+~P107(f328(f328(f239(x70153),f328(f107(x70153),x70151)),f328(f107(x70153),x70152)))+P107(f328(f328(f239(a1),x70151),x70152))
% 28.33/28.22 [7032]~P125(x70321)+~P107(f328(f328(f240(x70321),f81(x70321)),x70322))+P107(f328(f328(f240(x70321),f81(x70321)),f328(f328(f248(x70321),x70322),f328(a116,x70323))))
% 28.33/28.22 [7034]~P82(x70341)+~P107(f328(f328(f240(x70341),f328(f82(x70341),x70343)),f328(f82(x70341),x70342)))+P107(f328(f328(f240(x70341),x70342),x70343))
% 28.33/28.22 [7035]~P82(x70351)+~P107(f328(f328(f239(x70351),f328(f82(x70351),x70353)),f328(f82(x70351),x70352)))+P107(f328(f328(f239(x70351),x70352),x70353))
% 28.33/28.22 [7036]~P96(x70361)+~P107(f328(f328(f239(x70361),f328(f82(x70361),x70363)),f328(f82(x70361),x70362)))+P107(f328(f328(f239(x70361),x70362),x70363))
% 28.33/28.22 [7062]P107(f328(x70621,x70622))+~P107(f328(x70621,f435(x70621,x70623)))+~P107(f328(f328(f330(a911),x70622),f304(a911,f2(a911),x70623)))
% 28.33/28.22 [7081]~P71(x70811)+P107(f328(f328(f240(x70811),f859(x70813,x70812,x70811)),f81(x70811)))+P107(f328(f328(f239(x70811),x70812),x70813))
% 28.33/28.22 [7101]~E(f48(a911,x71013,x71012),f48(a911,x71011,x71012))+E(f328(f328(f83(a911),x71011),f328(f328(f84(a911),x71012),f869(x71011,x71012,x71013))),x71013)+~P107(f328(f328(f239(a911),x71011),x71013))
% 28.33/28.22 [7154]E(f328(f328(f11(x71541,a911),x71542),x71543),f81(a911))+~P107(f328(f64(x71541),x71543))+P107(f328(f328(f330(x71541),f380(x71542,x71543,x71541)),x71543))
% 28.33/28.22 [7155]E(f328(f328(f8(x71551,a911),x71552),x71553),f2(a911))+~P107(f328(f64(x71551),x71553))+P107(f328(f328(f330(x71551),f481(x71552,x71553,x71551)),x71553))
% 28.33/28.22 [7177]~P109(x71771)+~P107(f328(f328(f240(x71771),x71772),x71773))+P107(f328(f328(f240(f918(x71771,a905)),f328(f284(x71771),x71772)),f328(f284(x71771),x71773)))
% 28.33/28.22 [7178]~P111(x71781)+~P107(f328(f328(f239(x71781),x71782),x71783))+P107(f328(f328(f239(f918(x71781,a905)),f328(f302(x71781),x71782)),f328(f302(x71781),x71783)))
% 28.33/28.22 [7179]~P109(x71791)+~P107(f328(f328(f239(x71791),x71792),x71793))+P107(f328(f328(f239(f918(x71791,a905)),f328(f284(x71791),x71792)),f328(f284(x71791),x71793)))
% 28.33/28.22 [7180]~P111(x71801)+~P107(f328(f328(f239(x71801),x71803),x71802))+P107(f328(f328(f239(f918(x71801,a905)),f328(f285(x71801),x71802)),f328(f285(x71801),x71803)))
% 28.33/28.22 [7181]~P109(x71811)+~P107(f328(f328(f239(x71811),x71813),x71812))+P107(f328(f328(f239(f918(x71811,a905)),f328(f305(x71811),x71812)),f328(f305(x71811),x71813)))
% 28.33/28.22 [7192]~P10(x71921)+P107(f328(f328(f239(x71921),x71922),f41(x71921,x71923)))+P107(f328(f328(f330(x71921),f636(x71923,x71922,x71921)),x71923))
% 28.33/28.22 [7198]~P82(x71981)+P107(f328(f328(f240(x71981),f328(f328(f3(x71981),x71982),x71983)),f2(x71981)))+~P107(f328(f328(f240(x71981),x71982),x71983))
% 28.33/28.22 [7199]~P82(x71991)+P107(f328(f328(f239(x71991),f328(f328(f3(x71991),x71992),x71993)),f2(x71991)))+~P107(f328(f328(f239(x71991),x71992),x71993))
% 28.33/28.22 [7240]P107(f328(x72401,x72402))+P107(f328(f328(f239(a911),f435(x72401,x72403)),x72403))+~P107(f328(f328(f330(a911),x72402),f304(a911,f2(a911),x72403)))
% 28.33/28.22 [7280]~E(f328(f328(f8(x72801,a911),x72802),x72803),f81(a911))+~P107(f328(f64(x72801),x72803))+P107(f328(f328(f330(x72801),f480(x72802,x72803,x72801)),x72803))
% 28.33/28.22 [7281]~P107(f328(x72811,x72813))+P107(f328(f328(f239(a911),f434(x72811,x72812)),x72812))+~P107(f328(f328(f330(a911),x72813),f304(a911,f2(a911),x72812)))
% 28.33/28.22 [7321]~P10(x73211)+P107(f328(f328(f330(x73211),f631(x73213,x73212,x73211)),x73212))+P107(f328(f328(f239(x73211),f40(x73211,x73212)),x73213))
% 28.33/28.22 [7355]~E(f328(f328(f8(x73551,a911),x73552),x73553),f328(a116,f2(a911)))+~P107(f328(f64(x73551),x73553))+P107(f328(f328(f330(x73551),f482(x73552,x73553,x73551)),x73553))
% 28.33/28.22 [7366]E(x73661,f2(a911))+P107(f328(x73662,f48(a911,x73663,x73661)))+P107(f328(f328(f240(a911),f861(x73661,x73663,x73662)),x73661))
% 28.33/28.22 [7484]~P107(f328(x74841,x74842))+P107(f328(x74841,f48(a911,x74842,x74843)))+P107(f328(f328(f240(a911),f861(x74843,x74842,x74841)),x74843))
% 28.33/28.22 [7603]E(x76031,f117(x76032))+~P107(f328(f328(f330(f912(x76032)),x76031),f163(x76032,x76033)))+P107(f328(f328(f330(x76032),f601(x76033,x76031,x76032)),x76033))
% 28.33/28.22 [7625]~P109(x76251)+E(f328(f328(f105(f918(x76251,a905)),f328(f328(f310(x76251),x76252),f190(f918(x76251,a905)))),f307(x76251,x76252,x76253)),f328(f303(x76251,x76252),x76253))+~P107(f328(f328(f240(x76251),x76252),x76253))
% 28.33/28.22 [7648]~P109(x76481)+E(f328(f328(f105(f918(x76481,a905)),f328(f328(f310(x76481),x76482),f190(f918(x76481,a905)))),f306(x76481,x76482,x76483)),f304(x76481,x76482,x76483))+~P107(f328(f328(f239(x76481),x76482),x76483))
% 28.33/28.22 [7754]~P109(x77541)+P107(f328(f328(f240(x77541),x77542),x77543))+~P107(f328(f328(f240(f918(x77541,a905)),f328(f284(x77541),x77542)),f328(f284(x77541),x77543)))
% 28.33/28.22 [7755]~P109(x77551)+P107(f328(f328(f239(x77551),x77552),x77553))+~P107(f328(f328(f239(f918(x77551,a905)),f328(f305(x77551),x77553)),f328(f305(x77551),x77552)))
% 28.33/28.22 [7756]~P111(x77561)+P107(f328(f328(f239(x77561),x77562),x77563))+~P107(f328(f328(f239(f918(x77561,a905)),f328(f285(x77561),x77563)),f328(f285(x77561),x77562)))
% 28.33/28.22 [7757]~P109(x77571)+P107(f328(f328(f239(x77571),x77572),x77573))+~P107(f328(f328(f239(f918(x77571,a905)),f328(f284(x77571),x77572)),f328(f284(x77571),x77573)))
% 28.33/28.22 [7758]~P111(x77581)+P107(f328(f328(f239(x77581),x77582),x77583))+~P107(f328(f328(f239(f918(x77581,a905)),f328(f302(x77581),x77582)),f328(f302(x77581),x77583)))
% 28.33/28.22 [7782]~P82(x77821)+~P107(f328(f328(f240(x77821),f328(f328(f3(x77821),x77822),x77823)),f2(x77821)))+P107(f328(f328(f240(x77821),x77822),x77823))
% 28.33/28.22 [7783]~P82(x77831)+~P107(f328(f328(f239(x77831),f328(f328(f3(x77831),x77832),x77833)),f2(x77831)))+P107(f328(f328(f239(x77831),x77832),x77833))
% 28.33/28.22 [7945]E(x79451,f2(a911))+~E(f328(f144(a911,a911,f83(a911),x79452),x79453),f2(a911))+~P107(f328(f328(f330(a911),x79451),f328(f174(a911),x79453)))
% 28.33/28.22 [7949]~P10(x79491)+~P107(f328(f328(f239(x79491),f631(x79493,x79492,x79491)),x79493))+P107(f328(f328(f239(x79491),f40(x79491,x79492)),x79493))
% 28.33/28.22 [8101]P107(f328(f328(f239(a1),f2(a1)),f820(x81011,x81012,x81013)))+P107(f328(f328(x81012,f328(f328(f39(a1),x81011),x81013)),f48(a1,x81011,x81013)))+~P107(f328(f328(f240(a1),f2(a1)),x81013))
% 28.33/28.22 [8199]E(x81991,x81992)+~E(f328(f191(f912(x81993)),x81991),f328(f191(f912(x81993)),x81992))+~P107(f328(f328(f261(x81993,x81993,a905),a325),f592(x81993,x81991,x81992)))
% 28.33/28.22 [8271]~P43(x82712,x82713)+E(x82711,f190(f918(x82712,a905)))+~P107(f328(f328(f239(f918(x82712,a905)),x82711),f328(f287(x82712,x82712,x82713),x82711)))
% 28.33/28.22 [8298]~P72(x82981)+~P107(f328(f328(f239(x82981),x82982),f328(f328(f83(x82981),x82983),f867(x82983,x82982,x82981))))+P107(f328(f328(f239(x82981),x82982),x82983))
% 28.33/28.22 [8334]P59(x83341,x83342,x83343)+P107(f328(f328(f330(x83341),f594(x83343,x83342,x83341)),x83342))+P107(f328(f328(f330(f917(x83341,x83341)),f595(x83343,x83342,x83341)),x83343))
% 28.33/28.22 [8356]P107(f328(f328(x83562,f328(f328(f39(a1),x83561),x83563)),f48(a1,x83561,x83563)))+~P107(f328(f328(f240(a1),f2(a1)),x83563))+P107(f328(f328(f240(a1),f820(x83561,x83562,x83563)),x83563))
% 28.33/28.22 [8380]E(f328(f311(a911,a911,f328(f328(f9(a911,a911,a911),f3(a911)),x83801)),f328(f303(a911,x83802),x83803)),f190(f918(a911,a905)))+P107(f328(f328(f240(a911),x83801),x83803))+P107(f328(f328(f240(a911),x83802),x83803))
% 28.33/28.22 [8489]E(f328(f311(a911,a911,f328(f328(f9(a911,a911,a911),f3(a911)),x84891)),f328(f303(a911,x84892),x84893)),f328(f328(f310(a911),f2(a911)),f190(f918(a911,a905))))+P107(f328(f328(f240(a911),x84891),x84893))+~P107(f328(f328(f240(a911),x84892),x84893))
% 28.33/28.22 [8503]~P109(x85031)+E(f151(x85031,x85031,f7(x85031),x85032,x85033),x85033)+~P107(f328(f328(f330(x85031),x85032),f328(f174(x85031),x85033)))
% 28.33/28.22 [8517]P30(x85171,x85171,x85172,x85173)+~P107(f328(f64(x85171),x85173))+~P107(f328(f328(f239(f918(x85171,a905)),x85173),f328(f311(x85171,x85171,x85172),x85173)))
% 28.33/28.22 [8542]E(f328(f328(f83(a1),f328(f328(f84(a1),x85421),f813(x85422,x85423,x85421))),f820(x85422,x85423,x85421)),x85422)+P107(f328(f328(x85423,f328(f328(f39(a1),x85422),x85421)),f48(a1,x85422,x85421)))+~P107(f328(f328(f240(a1),f2(a1)),x85421))
% 28.33/28.22 [8787]~P107(f328(f328(x87871,f813(x87872,x87871,x87873)),f820(x87872,x87871,x87873)))+P107(f328(f328(x87871,f328(f328(f39(a1),x87872),x87873)),f48(a1,x87872,x87873)))+~P107(f328(f328(f240(a1),f2(a1)),x87873))
% 28.33/28.22 [9654]~P107(f328(f64(x96541),x96542))+~P107(f328(f328(f330(x96541),x96543),x96542))+P107(f328(f328(f240(a911),f328(f38(x96541),f328(f328(f3(f918(x96541,a905)),x96542),f328(f328(f310(x96541),x96543),f190(f918(x96541,a905)))))),f328(f38(x96541),x96542)))
% 28.33/28.22 [10234]P59(x102341,x102342,x102343)+~P107(f328(f328(f261(x102341,x102341,a905),f328(f328(f9(x102341,f918(x102341,a905),f918(x102341,a905)),f328(f328(f10(f918(a905,a905),f918(f918(x102341,a905),f918(x102341,a905)),x102341),f10(a905,a905,x102341)),f328(f328(f10(a905,f918(a905,a905),x102341),a326),f328(f328(f9(x102341,f918(x102341,a905),a905),f330(x102341)),x102342)))),f328(f328(f9(x102341,f918(x102341,a905),a905),f330(x102341)),x102342))),f595(x102343,x102342,x102341)))+P107(f328(f328(f330(x102341),f594(x102343,x102342,x102341)),x102342))
% 28.33/28.22 [5610]~P121(x56102)+E(x56101,f2(x56102))+E(f328(f328(f291(x56102),x56103),f328(f82(x56102),x56101)),f328(f82(x56102),f328(f328(f291(x56102),x56103),x56101)))
% 28.33/28.22 [5748]~E(x57483,f190(f918(x57481,a905)))+~E(x57482,f190(f918(x57481,a905)))+E(f328(f328(f105(f918(x57481,a905)),x57482),x57483),f190(f918(x57481,a905)))
% 28.33/28.22 [5806]~E(x58063,f2(a911))+~P107(f328(x58061,f2(a911)))+P107(f328(x58061,f328(f328(f39(a911),x58062),x58063)))
% 28.33/28.22 [5807]~E(x58073,f2(a911))+~P107(f328(x58071,f2(a911)))+P107(f328(x58071,f328(f328(f39(a911),x58072),x58073)))
% 28.33/28.22 [5948]~P72(x59482)+E(x59481,f2(x59482))+E(f328(f328(f291(x59482),f328(f79(x59482),x59483)),f328(f79(x59482),x59481)),f328(f79(x59482),f328(f328(f291(x59482),x59483),x59481)))
% 28.33/28.22 [6120]~P107(f328(f64(x61201),x61203))+E(f328(f38(x61201),f328(f328(f310(x61201),x61202),x61203)),f328(a116,f328(f38(x61201),x61203)))+P107(f328(f328(f330(x61201),x61202),x61203))
% 28.33/28.22 [6121]~P107(f328(f64(x61211),x61213))+E(f328(f38(x61211),f328(f328(f310(x61211),x61212),x61213)),f328(a116,f328(f38(x61211),x61213)))+P107(f328(f328(f330(x61211),x61212),x61213))
% 28.33/28.22 [6198]~E(x61982,f2(a911))+P107(f328(x61981,f2(a911)))+~P107(f328(x61981,f328(f328(f39(a911),x61983),x61982)))
% 28.33/28.22 [6215]~P107(f328(f64(x62151),x62153))+E(f328(f38(x62151),f328(f328(f310(x62151),x62152),x62153)),f328(f38(x62151),x62153))+~P107(f328(f328(f330(x62151),x62152),x62153))
% 28.33/28.22 [6251]~P107(f328(f64(x62511),x62513))+E(f328(f38(x62511),f328(f328(f310(x62511),x62512),x62513)),f328(f328(f83(a911),f81(a911)),f328(f38(x62511),x62513)))+P107(f328(f328(f330(x62511),x62512),x62513))
% 28.33/28.22 [6366]E(f328(f328(f83(a911),x63661),f858(x63661,x63662,x63663)),x63662)+~P107(f328(x63663,f2(a911)))+P107(f328(x63663,f328(f328(f3(a911),x63662),x63661)))
% 28.33/28.22 [6367]E(f328(f328(f83(a911),x63671),f866(x63671,x63672,x63673)),x63672)+~P107(f328(x63673,f2(a911)))+P107(f328(x63673,f328(f328(f3(a911),x63672),x63671)))
% 28.33/28.22 [6413]~P10(x64131)+~P107(f328(f64(x64131),x64133))+E(f328(f328(f67(x64131,x64131,f105(x64131)),x64132),x64133),f328(f328(f105(x64131),x64132),f40(x64131,x64133)))
% 28.33/28.22 [6414]~P10(x64141)+~P107(f328(f64(x64141),x64143))+E(f328(f328(f67(x64141,x64141,f106(x64141)),x64142),x64143),f328(f328(f106(x64141),x64142),f41(x64141,x64143)))
% 28.33/28.22 [6420]~P94(x64201)+~E(f328(f108(x64201),x64202),f328(f108(x64201),x64203))+P35(x64201,f328(f108(x64201),f328(f328(f83(a1),x64202),f328(f82(a1),x64203))))
% 28.33/28.22 [6429]~P140(x64291)+E(f328(f328(f3(x64291),f328(f104(x64291),x64292)),f328(f104(x64291),x64293)),f328(f104(x64291),f328(f328(f3(a911),x64292),x64293)))+~P107(f328(f328(f239(a911),x64293),x64292))
% 28.33/28.22 [6515]E(f328(f328(f83(a911),x65151),f858(x65151,x65152,x65153)),x65152)+P107(f328(f328(f240(a911),x65152),x65151))+P107(f328(x65153,f328(f328(f3(a911),x65152),x65151)))
% 28.33/28.22 [6516]E(f328(f328(f83(a911),x65161),f866(x65161,x65162,x65163)),x65162)+P107(f328(f328(f240(a911),x65162),x65161))+P107(f328(x65163,f328(f328(f3(a911),x65162),x65161)))
% 28.33/28.22 [6532]~P113(x65321)+E(f328(f328(f84(x65321),f328(f79(x65321),x65322)),x65323),f328(f79(x65321),f328(f328(f84(x65321),x65322),x65323)))+~P107(f328(f328(f239(x65321),f2(x65321)),x65323))
% 28.33/28.22 [6533]~P71(x65331)+E(f328(f328(f291(x65331),f328(f79(x65331),x65332)),x65333),f328(f79(x65331),f328(f328(f291(x65331),x65332),x65333)))+~P107(f328(f328(f240(x65331),f2(x65331)),x65333))
% 28.33/28.22 [6541]~P101(x65411)+~P107(f328(f64(x65411),x65413))+E(f328(f328(f67(x65411,x65411,f106(x65411)),x65412),x65413),f13(x65411,f328(f328(f310(x65411),x65412),x65413)))
% 28.33/28.22 [6542]~P101(x65421)+~P107(f328(f64(x65421),x65423))+E(f328(f328(f67(x65421,x65421,f105(x65421)),x65422),x65423),f12(x65421,f328(f328(f310(x65421),x65422),x65423)))
% 28.33/28.22 [6543]~P109(x65431)+~P107(f328(f64(x65431),x65433))+E(f328(f328(f67(x65431,x65431,f238(x65431)),x65432),x65433),f16(x65431,f328(f328(f310(x65431),x65432),x65433)))
% 28.33/28.22 [6544]~P109(x65441)+~P107(f328(f64(x65441),x65443))+E(f328(f328(f67(x65441,x65441,f243(x65441)),x65442),x65443),f17(x65441,f328(f328(f310(x65441),x65442),x65443)))
% 28.33/28.22 [6590]E(x65901,f117(x65902))+~E(f181(x65902,x65903),f117(f912(x65902)))+~P107(f328(f328(f330(f912(x65902)),x65901),f328(f174(f912(x65902)),x65903)))
% 28.33/28.22 [6633]~P107(f328(f139(x66331),x66333))+P107(f328(f328(f330(x66331),x66332),f328(f174(x66331),x66333)))+P107(f328(f139(x66331),f328(f328(f153(x66331),x66332),x66333)))
% 28.33/28.22 [6644]~P97(x66441)+~P107(f328(f64(x66441),x66443))+E(f328(f66(x66441,f84(x66441)),f328(f328(f310(x66441),x66442),x66443)),f328(f328(f67(x66441,x66441,f84(x66441)),x66442),x66443))
% 28.33/28.22 [6666]~P109(x66661)+~P107(f328(f64(x66661),x66663))+E(f14(x66661,f238(x66661),f328(f328(f310(x66661),x66662),x66663)),f328(f328(f67(x66661,x66661,f238(x66661)),x66662),x66663))
% 28.33/28.22 [6667]~P109(x66671)+~P107(f328(f64(x66671),x66673))+E(f15(x66671,f243(x66671),f328(f328(f310(x66671),x66672),x66673)),f328(f328(f67(x66671,x66671,f243(x66671)),x66672),x66673))
% 28.33/28.22 [6668]P107(f328(x66681,f2(a911)))+~P107(f328(f328(f240(a911),x66682),x66683))+~P107(f328(x66681,f328(f328(f3(a911),x66682),x66683)))
% 28.33/28.22 [6669]P107(f328(x66691,f2(a911)))+~P107(f328(f328(f240(a911),x66692),x66693))+~P107(f328(x66691,f328(f328(f3(a911),x66692),x66693)))
% 28.33/28.22 [6688]~P113(x66881)+P107(f328(f328(f240(x66881),x66882),x66883))+~P107(f328(f328(f240(x66881),f328(f79(x66881),x66882)),x66883))
% 28.33/28.22 [6689]~P86(x66891)+P107(f328(f328(f239(x66891),x66892),x66893))+~P107(f328(f328(f239(x66891),f328(f79(x66891),x66892)),x66893))
% 28.33/28.22 [6690]~P86(x66901)+P107(f328(f328(f239(x66901),x66902),x66903))+~P107(f328(f328(f239(x66901),f328(f79(x66901),x66902)),x66903))
% 28.33/28.22 [6709]E(x67091,f117(x67092))+E(f328(f143(x67092),f328(f328(f140(x67092),x67093),x67091)),f328(f328(f166(x67092),x67091),x67093))+~P107(f328(f328(f240(a911),x67093),f328(f191(f912(x67092)),x67091)))
% 28.33/28.22 [6760]~P107(f328(x67601,x67603))+P107(f328(x67601,f465(x67601,x67602)))+~P107(f328(f328(f330(a911),x67603),f328(f303(a911,f2(a911)),x67602)))
% 28.33/28.22 [6781]P107(f328(x67811,x67812))+~P107(f328(f328(f240(a911),x67812),x67813))+P107(f328(f328(f330(a911),f467(x67811,x67813)),f328(f303(a911,f2(a911)),x67813)))
% 28.33/28.22 [6797]~P125(x67971)+~P107(f328(f328(f240(x67971),f2(x67971)),x67972))+P107(f328(f328(f240(x67971),f2(x67971)),f328(f328(f248(x67971),x67972),x67973)))
% 28.33/28.22 [6799]~P125(x67991)+~P107(f328(f328(f239(x67991),f2(x67991)),x67992))+P107(f328(f328(f239(x67991),f2(x67991)),f328(f328(f248(x67991),x67992),x67993)))
% 28.33/28.22 [6800]~P125(x68001)+~P107(f328(f328(f239(x68001),f81(x68001)),x68002))+P107(f328(f328(f239(x68001),f81(x68001)),f328(f328(f248(x68001),x68002),x68003)))
% 28.33/28.22 [6824]~P107(f328(x68241,x68243))+~P107(f328(f328(f240(a911),x68243),x68242))+P107(f328(f328(f330(a911),f457(x68241,x68242)),f328(f303(a911,f2(a911)),x68242)))
% 28.33/28.22 [6830]P107(f328(f64(x68301),x68302))+~P107(f328(f64(x68301),x68303))+~P107(f328(f328(f239(f918(x68301,a905)),x68302),x68303))
% 28.33/28.22 [6831]P107(f328(f64(x68311),x68312))+~P107(f328(f64(x68311),x68313))+~P107(f328(f328(f239(f918(x68311,a905)),x68312),x68313))
% 28.33/28.22 [6838]P107(f328(x68381,x68382))+~P107(f328(x68381,f466(x68381,x68383)))+~P107(f328(f328(f330(a911),x68382),f328(f303(a911,f2(a911)),x68383)))
% 28.33/28.22 [6849]E(x68491,f2(a911))+P107(f328(x68492,f855(x68491,x68493,x68492)))+~P107(f328(x68492,f328(f328(f39(a911),x68493),x68491)))
% 28.33/28.22 [6856]~P127(x68562)+E(x68561,f2(x68562))+~E(f328(f328(f83(x68562),f328(f328(f84(x68562),x68563),x68563)),f328(f328(f84(x68562),x68561),x68561)),f2(x68562))
% 28.33/28.22 [6857]~P127(x68572)+E(x68571,f2(x68572))+~E(f328(f328(f83(x68572),f328(f328(f84(x68572),x68571),x68571)),f328(f328(f84(x68572),x68573),x68573)),f2(x68572))
% 28.33/28.22 [6901]E(x69011,f2(a911))+~P107(f328(x69012,f860(x69011,x69013,x69012)))+P107(f328(x69012,f328(f328(f39(a911),x69013),x69011)))
% 28.33/28.22 [6906]~P109(x69061)+~P18(x69061,x69063)+P18(x69061,f328(f328(f150(x69061,x69061,f7(x69061)),x69062),x69063))
% 28.33/28.22 [6949]P107(f328(x69491,f855(x69492,x69493,x69491)))+P107(f328(x69491,f2(a911)))+~P107(f328(x69491,f328(f328(f39(a911),x69493),x69492)))
% 28.33/28.22 [6955]~P94(x69551)+E(f328(f108(x69551),x69552),f328(f108(x69551),x69553))+~P35(x69551,f328(f108(x69551),f328(f328(f83(a1),x69552),f328(f82(a1),x69553))))
% 28.33/28.22 [7018]E(x70181,f2(a1))+E(x70182,f2(a1))+~P107(f328(f52(x70182,x70182),f328(f328(f256(a1,a1),x70183),x70181)))
% 28.33/28.22 [7019]E(x70191,f81(a1))+E(x70192,f2(a1))+~P107(f328(f52(x70192,x70192),f328(f328(f256(a1,a1),x70191),x70193)))
% 28.33/28.22 [7033]P107(f328(x70331,x70332))+P107(f328(f328(f240(a911),f466(x70331,x70333)),x70333))+~P107(f328(f328(f330(a911),x70332),f328(f303(a911,f2(a911)),x70333)))
% 28.33/28.22 [7058]~P107(f328(x70581,f860(x70583,x70582,x70581)))+~P107(f328(x70581,f2(a911)))+P107(f328(x70581,f328(f328(f39(a911),x70582),x70583)))
% 28.33/28.22 [7059]~P107(f328(x70591,f858(x70593,x70592,x70591)))+~P107(f328(x70591,f2(a911)))+P107(f328(x70591,f328(f328(f3(a911),x70592),x70593)))
% 28.33/28.22 [7060]~P107(f328(x70601,f866(x70603,x70602,x70601)))+~P107(f328(x70601,f2(a911)))+P107(f328(x70601,f328(f328(f3(a911),x70602),x70603)))
% 28.33/28.22 [7077]~P107(f328(x70771,x70773))+P107(f328(f328(f240(a911),f465(x70771,x70772)),x70772))+~P107(f328(f328(f330(a911),x70773),f328(f303(a911,f2(a911)),x70772)))
% 28.33/28.22 [7078]E(f328(f328(f3(a911),f328(f328(f3(a911),x70781),x70782)),f328(f328(f3(a911),x70783),x70782)),f328(f328(f3(a911),x70781),x70783))+~P107(f328(f328(f239(a911),x70782),x70781))+~P107(f328(f328(f239(a911),x70782),x70783))
% 28.33/28.22 [7113]~P82(x71131)+~P107(f328(f328(f240(x71131),f328(f82(x71131),x71133)),x71132))+P107(f328(f328(f240(x71131),f328(f82(x71131),x71132)),x71133))
% 28.33/28.22 [7114]~P82(x71141)+~P107(f328(f328(f240(x71141),f328(f82(x71141),x71143)),x71142))+P107(f328(f328(f240(x71141),f328(f82(x71141),x71142)),x71143))
% 28.33/28.22 [7115]~P113(x71151)+~P107(f328(f328(f240(x71151),f328(f79(x71151),x71152)),x71153))+P107(f328(f328(f240(x71151),f328(f82(x71151),x71152)),x71153))
% 28.33/28.22 [7116]~P82(x71161)+~P107(f328(f328(f239(x71161),f328(f82(x71161),x71163)),x71162))+P107(f328(f328(f239(x71161),f328(f82(x71161),x71162)),x71163))
% 28.33/28.22 [7117]~P82(x71171)+~P107(f328(f328(f239(x71171),f328(f82(x71171),x71173)),x71172))+P107(f328(f328(f239(x71171),f328(f82(x71171),x71172)),x71173))
% 28.33/28.22 [7118]~P86(x71181)+~P107(f328(f328(f239(x71181),f328(f79(x71181),x71182)),x71183))+P107(f328(f328(f239(x71181),f328(f82(x71181),x71182)),x71183))
% 28.33/28.22 [7119]~P86(x71191)+~P107(f328(f328(f239(x71191),f328(f79(x71191),x71192)),x71193))+P107(f328(f328(f239(x71191),f328(f82(x71191),x71192)),x71193))
% 28.33/28.22 [7150]~P107(f328(x71503,f858(x71502,x71501,x71503)))+P107(f328(f328(f240(a911),x71501),x71502))+P107(f328(x71503,f328(f328(f3(a911),x71501),x71502)))
% 28.33/28.22 [7151]~P107(f328(x71513,f866(x71512,x71511,x71513)))+P107(f328(f328(f240(a911),x71511),x71512))+P107(f328(x71513,f328(f328(f3(a911),x71511),x71512)))
% 28.33/28.22 [7202]~E(f637(x72023,x72022,x72021),f638(x72023,x72022,x72021))+E(f328(f328(f106(f918(x72021,a905)),x72022),f40(f918(x72021,a905),x72023)),f190(f918(x72021,a905)))+P107(f328(f328(f330(f918(x72021,a905)),x72022),x72023))
% 28.33/28.22 [7210]~P107(f328(f64(x72101),x72103))+P107(f328(f64(x72101),f41(f918(x72101,a905),x72102)))+~P107(f328(f328(f330(f918(x72101,a905)),x72103),x72102))
% 28.33/28.22 [7269]~P109(x72691)+E(f328(f328(f105(f918(x72691,a905)),f328(f303(x72691,x72692),x72693)),f328(f328(f310(x72691),x72693),f190(f918(x72691,a905)))),f304(x72691,x72692,x72693))+~P107(f328(f328(f239(x72691),x72692),x72693))
% 28.33/28.22 [7270]E(x72701,f2(a911))+P107(f328(f328(f240(a911),f862(x72701,x72703,x72702)),x72701))+P107(f328(x72702,f328(f328(f39(a911),x72703),x72701)))
% 28.33/28.22 [7299]P107(f328(f328(f240(a911),f328(f191(f912(x72991)),x72992)),f812(x72993,x72991)))+~P107(f328(f64(f912(x72991)),x72993))+~P107(f328(f328(f330(f912(x72991)),x72992),x72993))
% 28.33/28.22 [7304]E(x73041,x73042)+~P107(f328(f328(f239(f918(x73043,a905)),x73041),x73042))+P107(f328(f328(f240(f918(x73043,a905)),x73041),x73042))
% 28.33/28.22 [7305]E(x73051,x73052)+~P107(f328(f328(f239(f918(x73053,a905)),x73051),x73052))+P107(f328(f328(f240(f918(x73053,a905)),x73051),x73052))
% 28.33/28.22 [7318]E(x73181,x73182)+~E(f328(f191(f912(x73183)),x73181),f328(f191(f912(x73183)),x73182))+P107(f328(f328(f240(a911),f579(x73183,x73181,x73182)),f328(f191(f912(x73183)),x73182)))
% 28.33/28.22 [7367]P13(x73671,x73672,x73673)+~E(f328(f268(x73671,x73671),x73673),x73672)+~E(f328(f328(f290(x73671,x73671,x73671),f328(f288(x73671,x73671),x73673)),x73673),x73673)
% 28.33/28.22 [7449]~P107(f328(x74491,f2(a911)))+P107(f328(f328(f240(a911),f862(x74493,x74492,x74491)),x74493))+P107(f328(x74491,f328(f328(f39(a911),x74492),x74493)))
% 28.33/28.22 [7461]~P109(x74611)+E(f328(f328(f105(f918(x74611,a905)),f307(x74611,x74612,x74613)),f328(f328(f310(x74611),x74613),f190(f918(x74611,a905)))),f306(x74611,x74612,x74613))+~P107(f328(f328(f240(x74611),x74612),x74613))
% 28.33/28.22 [7556]~P107(f328(f64(x75561),x75563))+P107(f328(f328(f240(a911),f328(f38(x75561),x75562)),f328(f38(x75561),x75563)))+~P107(f328(f328(f240(f918(x75561,a905)),x75562),x75563))
% 28.33/28.22 [7557]~P107(f328(f64(x75571),x75573))+P107(f328(f328(f239(a911),f328(f38(x75571),x75572)),f328(f38(x75571),x75573)))+~P107(f328(f328(f239(f918(x75571,a905)),x75572),x75573))
% 28.33/28.22 [7597]~P107(f328(x75973,x75972))+P107(f328(f328(f196(x75971),x75972),f611(x75972,x75971,x75973)))+~P107(f328(f328(f196(f33(x75973,x75971)),x75972),x75972))
% 28.33/28.22 [7690]E(x76901,x76902)+~P107(f328(f328(f239(f918(x76903,a905)),x76902),x76901))+~P107(f328(f328(f239(f918(x76903,a905)),x76901),x76902))
% 28.33/28.22 [7691]E(x76911,x76912)+~P107(f328(f328(f239(f918(x76913,a905)),x76912),x76911))+~P107(f328(f328(f239(f918(x76913,a905)),x76911),x76912))
% 28.33/28.22 [7694]~P109(x76941)+P18(x76941,x76942)+~P18(x76941,f328(f328(f150(x76941,x76941,f7(x76941)),x76943),x76942))
% 28.33/28.22 [7762]~P107(f328(f328(f240(a911),x77623),x77622))+~P107(f328(f328(f240(a911),x77623),x77621))+P107(f328(f328(f240(a911),f328(f328(f3(a911),x77621),x77622)),f328(f328(f3(a911),x77621),x77623)))
% 28.33/28.22 [7763]~P107(f328(f328(f240(a911),x77631),x77633))+~P107(f328(f328(f239(a911),x77632),x77631))+P107(f328(f328(f240(a911),f328(f328(f3(a911),x77631),x77632)),f328(f328(f3(a911),x77633),x77632)))
% 28.33/28.22 [7780]~P107(f328(f328(f240(a1),x77802),f2(a1)))+~P107(f328(f328(f239(a1),x77803),x77801))+P107(f328(f328(f239(a1),f328(f328(f39(a1),x77801),x77802)),f328(f328(f39(a1),x77803),x77802)))
% 28.33/28.22 [7796]~P107(f328(f328(f240(a911),f2(a911)),x77961))+~P107(f328(f328(f240(a911),x77962),x77963))+P107(f328(f328(f240(a911),f328(f328(f84(a911),x77961),x77962)),f328(f328(f84(a911),x77961),x77963)))
% 28.33/28.22 [7797]~P107(f328(f328(f240(a911),f2(a911)),x77971))+~P107(f328(f328(f240(a911),x77972),x77973))+P107(f328(f328(f240(a911),f328(f328(f84(a911),x77971),x77972)),f328(f328(f84(a911),x77971),x77973)))
% 28.33/28.22 [7798]~P107(f328(f328(f240(a911),f2(a911)),x77982))+~P107(f328(f328(f240(a911),x77981),x77983))+P107(f328(f328(f240(a911),f328(f328(f84(a911),x77981),x77982)),f328(f328(f84(a911),x77983),x77982)))
% 28.33/28.22 [7799]~P107(f328(f328(f240(a911),f2(a911)),x77992))+~P107(f328(f328(f240(a911),x77991),x77993))+P107(f328(f328(f240(a911),f328(f328(f84(a911),x77991),x77992)),f328(f328(f84(a911),x77993),x77992)))
% 28.33/28.22 [7800]~P107(f328(f328(f240(a911),f2(a911)),x78001))+~P107(f328(f328(f240(a911),x78002),x78003))+P107(f328(f328(f240(a911),f328(f328(f84(a911),x78001),x78002)),f328(f328(f84(a911),x78001),x78003)))
% 28.33/28.22 [7801]~P107(f328(f328(f240(a1),f2(a1)),x78011))+~P107(f328(f328(f240(a1),x78012),x78013))+P107(f328(f328(f240(a1),f328(f328(f84(a1),x78011),x78012)),f328(f328(f84(a1),x78011),x78013)))
% 28.33/28.22 [7802]~P107(f328(f328(f240(a911),f2(a911)),x78021))+~P107(f328(f328(f239(a911),x78022),x78023))+P107(f328(f328(f239(a911),f328(f328(f84(a911),x78021),x78022)),f328(f328(f84(a911),x78021),x78023)))
% 28.33/28.22 [7803]~P107(f328(f328(f240(a911),f2(a911)),x78033))+~P107(f328(f328(f239(a911),x78033),x78032))+P107(f328(f328(f239(a911),f328(f328(f39(a911),x78031),x78032)),f328(f328(f39(a911),x78031),x78033)))
% 28.33/28.22 [7804]~P107(f328(f328(f240(a1),f2(a1)),x78042))+~P107(f328(f328(f239(a1),x78041),x78043))+P107(f328(f328(f239(a1),f328(f328(f39(a1),x78041),x78042)),f328(f328(f39(a1),x78043),x78042)))
% 28.33/28.22 [7851]E(x78511,f2(a911))+E(f328(f328(f83(a911),f328(f328(f84(a911),x78511),f860(x78511,x78512,x78513))),f862(x78511,x78512,x78513)),x78512)+P107(f328(x78513,f328(f328(f39(a911),x78512),x78511)))
% 28.33/28.22 [7913]E(f328(f328(f83(a911),f328(f328(f84(a911),x79131),f860(x79131,x79132,x79133))),f862(x79131,x79132,x79133)),x79132)+~P107(f328(x79133,f2(a911)))+P107(f328(x79133,f328(f328(f39(a911),x79132),x79131)))
% 28.33/28.22 [7930]~P107(f328(f64(x79301),x79303))+P107(f328(f328(f330(x79301),f384(x79302,x79303,x79301)),x79303))+P107(f328(f328(f240(a911),f2(a911)),f328(f328(f11(x79301,a911),x79302),x79303)))
% 28.33/28.22 [7931]~P107(f328(f64(x79311),x79313))+P107(f328(f328(f330(x79311),f521(x79312,x79313,x79311)),x79313))+P107(f328(f328(f240(a911),f2(a911)),f328(f328(f11(x79311,a911),x79312),x79313)))
% 28.33/28.22 [8236]E(x82361,f190(f918(x82362,a905)))+E(x82361,f328(f328(f310(x82362),x82363),f190(f918(x82362,a905))))+~P107(f328(f328(f239(f918(x82362,a905)),x82361),f328(f328(f310(x82362),x82363),f190(f918(x82362,a905)))))
% 28.33/28.22 [8261]~P109(x82611)+~P18(x82611,x82613)+P18(x82611,f328(f328(f140(x82611),f328(f191(f912(x82611)),f179(x82611,x82612,x82613))),x82613))
% 28.33/28.22 [8272]~P107(f328(f328(f240(a911),f2(a911)),x82723))+P107(f328(f328(f240(a911),x82721),x82722))+~P107(f328(f328(f240(a911),f328(f328(f84(a911),x82723),x82721)),f328(f328(f84(a911),x82723),x82722)))
% 28.33/28.22 [8273]~P107(f328(f328(f240(a911),f2(a911)),x82733))+P107(f328(f328(f240(a911),x82731),x82732))+~P107(f328(f328(f240(a911),f328(f328(f248(a911),x82733),x82731)),f328(f328(f248(a911),x82733),x82732)))
% 28.33/28.22 [8274]~P107(f328(f328(f240(a911),f2(a911)),x82743))+P107(f328(f328(f239(a911),x82741),x82742))+~P107(f328(f328(f239(a911),f328(f328(f84(a911),x82743),x82741)),f328(f328(f84(a911),x82743),x82742)))
% 28.33/28.22 [8275]~P107(f328(f328(f240(a911),f2(a911)),x82753))+P107(f328(f328(f239(a911),x82751),x82752))+~P107(f328(f328(f239(a911),f328(f328(f84(a911),x82753),x82751)),f328(f328(f84(a911),x82753),x82752)))
% 28.33/28.22 [8276]~P107(f328(f328(f240(a911),f2(a911)),x82763))+P107(f328(f328(f239(a911),x82761),x82762))+~P107(f328(f328(f239(a911),f328(f328(f84(a911),x82761),x82763)),f328(f328(f84(a911),x82762),x82763)))
% 28.33/28.22 [8307]~P107(f328(x83071,x83073))+P107(f328(f328(f196(f33(x83071,x83072)),f611(x83073,x83072,x83071)),x83073))+~P107(f328(f328(f196(f33(x83071,x83072)),x83073),x83073))
% 28.33/28.22 [8315]~E(f328(f328(f106(f918(x83151,a905)),f638(x83153,x83152,x83151)),f637(x83153,x83152,x83151)),f190(f918(x83151,a905)))+E(f328(f328(f106(f918(x83151,a905)),x83152),f40(f918(x83151,a905),x83153)),f190(f918(x83151,a905)))+P107(f328(f328(f330(f918(x83151,a905)),x83152),x83153))
% 28.33/28.22 [8328]E(x83281,f117(x83282))+~E(f328(f144(f912(x83282),f912(x83282),f136(x83282),f117(x83282)),x83283),f117(x83282))+~P107(f328(f328(f330(f912(x83282)),x83281),f328(f174(f912(x83282)),x83283)))
% 28.33/28.22 [8329]E(x83291,f117(x83292))+~E(f328(f144(f912(x83292),f912(x83292),f136(x83292),f117(x83292)),x83293),f117(x83292))+~P107(f328(f328(f330(f912(x83292)),x83291),f328(f174(f912(x83292)),x83293)))
% 28.33/28.22 [8385]E(x83851,f190(f918(f918(x83852,a905),a905)))+P107(f328(f328(f330(f918(x83852,a905)),f678(x83853,x83851,x83852)),x83851))+P107(f328(f328(f239(f918(x83852,a905)),f41(f918(x83852,a905),x83851)),x83853))
% 28.33/28.22 [8391]~P76(x83911)+~P78(x83911)+E(f328(f328(f11(a1,x83911),f328(f328(f10(a911,x83911,a1),x83912),a109)),f328(f311(a911,a1,f104(a1)),x83913)),f328(f328(f11(a911,x83911),x83912),x83913))
% 28.33/28.22 [8392]~P76(x83921)+~P78(x83921)+E(f328(f328(f8(a1,x83921),f328(f328(f10(a911,x83921,a1),x83922),a109)),f328(f311(a911,a1,f104(a1)),x83923)),f328(f328(f8(a911,x83921),x83922),x83923))
% 28.33/28.22 [8434]~P107(f328(f64(x84341),x84343))+~P107(f328(f328(f240(a911),f2(a911)),f328(x84342,f384(x84342,x84343,x84341))))+P107(f328(f328(f240(a911),f2(a911)),f328(f328(f11(x84341,a911),x84342),x84343)))
% 28.33/28.22 [8435]~P107(f328(f64(x84351),x84353))+~P107(f328(f328(f240(a911),f2(a911)),f328(x84352,f521(x84352,x84353,x84351))))+P107(f328(f328(f240(a911),f2(a911)),f328(f328(f11(x84351,a911),x84352),x84353)))
% 28.33/28.22 [8471]~P70(x84712)+E(x84711,f81(x84712))+E(f328(f328(f291(x84712),f328(f328(f3(x84712),f328(f328(f248(x84712),x84711),x84713)),f81(x84712))),f328(f328(f3(x84712),x84711),f81(x84712))),f328(f328(f8(a911,x84712),f328(f248(x84712),x84711)),f328(f303(a911,f2(a911)),x84713)))
% 28.33/28.22 [8528]E(x85281,f2(a911))+~P107(f328(x85283,f328(f328(f39(a911),x85282),x85281)))+P107(f328(f328(f240(a911),x85282),f328(f328(f84(a911),x85281),f328(a116,f855(x85281,x85282,x85283)))))
% 28.33/28.22 [8547]P107(f328(x85471,f2(a911)))+~P107(f328(x85471,f328(f328(f39(a911),x85472),x85473)))+P107(f328(f328(f240(a911),x85472),f328(f328(f84(a911),x85473),f328(a116,f855(x85473,x85472,x85471)))))
% 28.33/28.22 [8587]E(x85871,f2(a911))+~P107(f328(x85873,f328(f328(f39(a911),x85872),x85871)))+P107(f328(f328(f239(a911),f328(f328(f84(a911),x85871),f855(x85871,x85872,x85873))),x85872))
% 28.33/28.22 [8624]P107(f328(x86241,f2(a911)))+~P107(f328(x86241,f328(f328(f39(a911),x86243),x86242)))+P107(f328(f328(f239(a911),f328(f328(f84(a911),x86242),f855(x86242,x86243,x86241))),x86243))
% 28.33/28.22 [8632]~P109(x86321)+E(f328(f328(f150(x86321,x86321,f7(x86321)),x86322),x86323),f151(x86321,x86321,f7(x86321),x86322,x86323))+P107(f328(f328(f330(x86321),x86322),f328(f174(x86321),x86323)))
% 28.33/28.22 [8669]~E(f328(x86693,f695(x86692,x86693,x86691)),f328(x86693,f697(x86692,x86693,x86691)))+~P66(x86691,f328(x86693,f696(x86692,x86693,x86691)))+P66(x86691,f328(f328(f42(x86692,f918(x86691,f918(x86691,a905))),f246(f918(x86692,a905))),x86693))
% 28.33/28.22 [8678]E(x86781,f190(f918(f918(x86782,a905),a905)))+~P107(f328(f328(f239(f918(x86782,a905)),f678(x86783,x86781,x86782)),x86783))+P107(f328(f328(f239(f918(x86782,a905)),f41(f918(x86782,a905),x86781)),x86783))
% 28.33/28.22 [8735]~P72(x87351)+~P107(f328(f328(f240(x87351),x87352),x87353))+P107(f328(f328(f240(x87351),x87352),f328(f328(f291(x87351),f328(f328(f83(x87351),x87352),x87353)),f328(f328(f83(x87351),f81(x87351)),f81(x87351)))))
% 28.33/28.22 [8793]~P107(f328(f328(x87931,f889(x87931,x87933,x87932)),f890(x87931,x87933,x87932)))+P107(f328(f328(x87931,x87932),x87933))+~P107(f328(f316(f917(a1,a1),a55),f328(f328(f256(a1,a1),x87932),x87933)))
% 28.33/28.22 [8794]~P107(f328(f328(x87941,f891(x87941,x87943,x87942)),f892(x87941,x87943,x87942)))+P107(f328(f328(x87941,x87942),x87943))+~P107(f328(f316(f917(a1,a1),a61),f328(f328(f256(a1,a1),x87942),x87943)))
% 28.33/28.22 [8795]~P107(f328(f328(x87951,f893(x87951,x87953,x87952)),f894(x87951,x87953,x87952)))+P107(f328(f328(x87951,x87952),x87953))+~P107(f328(f316(f917(a1,a1),a225),f328(f328(f256(a1,a1),x87952),x87953)))
% 28.33/28.22 [8796]~P107(f328(f328(x87961,f895(x87961,x87963,x87962)),f896(x87961,x87963,x87962)))+P107(f328(f328(x87961,x87962),x87963))+~P107(f328(f316(f917(a911,a911),a223),f328(f328(f256(a911,a911),x87962),x87963)))
% 28.33/28.22 [8797]~P107(f328(f328(x87971,f602(x87971,x87973,x87972)),f603(x87971,x87973,x87972)))+P107(f328(f328(x87971,x87972),x87973))+~P107(f328(f316(f917(a1,a1),a184),f328(f328(f256(a1,a1),x87972),x87973)))
% 28.33/28.22 [8798]~P107(f328(f328(x87981,f800(x87981,x87983,x87982)),f801(x87981,x87983,x87982)))+P107(f328(f328(x87981,x87982),x87983))+~P107(f328(f316(f917(a1,a1),a135),f328(f328(f256(a1,a1),x87982),x87983)))
% 28.33/28.22 [9062]P107(f328(f328(x90621,x90622),x90623))+P107(f328(f316(f917(a911,a911),a223),f328(f328(f256(a911,a911),f895(x90621,x90623,x90622)),f896(x90621,x90623,x90622))))+~P107(f328(f316(f917(a911,a911),a223),f328(f328(f256(a911,a911),x90622),x90623)))
% 28.33/28.22 [9063]P107(f328(f328(x90631,x90632),x90633))+P107(f328(f316(f917(a1,a1),a55),f328(f328(f256(a1,a1),f889(x90631,x90633,x90632)),f890(x90631,x90633,x90632))))+~P107(f328(f316(f917(a1,a1),a55),f328(f328(f256(a1,a1),x90632),x90633)))
% 28.33/28.22 [9064]P107(f328(f328(x90641,x90642),x90643))+P107(f328(f316(f917(a1,a1),a61),f328(f328(f256(a1,a1),f891(x90641,x90643,x90642)),f892(x90641,x90643,x90642))))+~P107(f328(f316(f917(a1,a1),a61),f328(f328(f256(a1,a1),x90642),x90643)))
% 28.33/28.22 [9065]P107(f328(f328(x90651,x90652),x90653))+P107(f328(f316(f917(a1,a1),a225),f328(f328(f256(a1,a1),f893(x90651,x90653,x90652)),f894(x90651,x90653,x90652))))+~P107(f328(f316(f917(a1,a1),a225),f328(f328(f256(a1,a1),x90652),x90653)))
% 28.33/28.22 [9066]P107(f328(f328(x90661,x90662),x90663))+P107(f328(f316(f917(a1,a1),a184),f328(f328(f256(a1,a1),f602(x90661,x90663,x90662)),f603(x90661,x90663,x90662))))+~P107(f328(f316(f917(a1,a1),a184),f328(f328(f256(a1,a1),x90662),x90663)))
% 28.33/28.22 [9067]P107(f328(f328(x90671,x90672),x90673))+P107(f328(f316(f917(a1,a1),a135),f328(f328(f256(a1,a1),f800(x90671,x90673,x90672)),f801(x90671,x90673,x90672))))+~P107(f328(f316(f917(a1,a1),a135),f328(f328(f256(a1,a1),x90672),x90673)))
% 28.33/28.22 [9399]~P107(f328(f64(x93991),x93993))+P107(f328(f328(f330(f917(f918(x93991,a905),f918(x93991,a905))),f328(f328(f256(f918(x93991,a905),f918(x93991,a905)),x93992),x93993)),f315(x93991)))+~P107(f328(f328(f240(f918(x93991,a905)),x93992),x93993))
% 28.33/28.22 [9470]~P66(x94701,f328(x94703,f696(x94702,x94703,x94701)))+P66(x94701,f328(f328(f42(x94702,f918(x94701,f918(x94701,a905))),f246(f918(x94702,a905))),x94703))+~E(f328(f328(f106(f918(x94701,a905)),f253(x94701,x94701,f328(x94703,f695(x94702,x94703,x94701)))),f254(x94701,x94701,f328(x94703,f697(x94702,x94703,x94701)))),f190(f918(x94701,a905)))
% 28.33/28.22 [9666]P59(x96661,x96662,x96663)+P107(f328(f328(f330(f917(x96661,x96661)),f595(x96663,x96662,x96661)),x96663))+~P107(f328(f328(f330(f917(x96661,x96661)),f328(f328(f256(x96661,x96661),f594(x96663,x96662,x96661)),f594(x96663,x96662,x96661))),x96663))
% 28.33/28.22 [10237]P59(x102371,x102372,x102373)+~P107(f328(f328(f261(x102371,x102371,a905),f328(f328(f9(x102371,f918(x102371,a905),f918(x102371,a905)),f328(f328(f10(f918(a905,a905),f918(f918(x102371,a905),f918(x102371,a905)),x102371),f10(a905,a905,x102371)),f328(f328(f10(a905,f918(a905,a905),x102371),a326),f328(f328(f9(x102371,f918(x102371,a905),a905),f330(x102371)),x102372)))),f328(f328(f9(x102371,f918(x102371,a905),a905),f330(x102371)),x102372))),f595(x102373,x102372,x102371)))+~P107(f328(f328(f330(f917(x102371,x102371)),f328(f328(f256(x102371,x102371),f594(x102373,x102372,x102371)),f594(x102373,x102372,x102371))),x102373))
% 28.33/28.22 [5789]~P8(x57892)+E(x57891,f2(x57892))+E(f328(f328(f39(x57892),f328(f328(f84(x57892),x57893),x57891)),x57891),x57893)
% 28.33/28.22 [5790]~P8(x57902)+E(x57901,f2(x57902))+E(f328(f328(f39(x57902),f328(f328(f84(x57902),x57901),x57903)),x57901),x57903)
% 28.33/28.22 [6589]~P76(x65891)+~E(f328(x65892,f2(a911)),f2(x65891))+E(f328(f328(f8(a911,x65891),x65892),f328(f303(a911,f328(a116,f2(a911))),x65893)),f328(f328(f8(a911,x65891),x65892),f328(f303(a911,f2(a911)),x65893)))
% 28.33/28.22 [6722]~P8(x67222)+E(x67221,f2(x67222))+E(f328(f328(f39(x67222),f328(f328(f83(x67222),x67223),x67221)),x67221),f328(f328(f83(x67222),f328(f328(f39(x67222),x67223),x67221)),f81(x67222)))
% 28.33/28.22 [6723]~P8(x67232)+E(x67231,f2(x67232))+E(f328(f328(f39(x67232),f328(f328(f83(x67232),x67231),x67233)),x67231),f328(f328(f83(x67232),f328(f328(f39(x67232),x67233),x67231)),f81(x67232)))
% 28.33/28.22 [6938]~P107(f328(x69383,f2(a1)))+P107(f328(f328(f239(a911),x69381),x69382))+P107(f328(x69383,f328(f104(a1),f328(f328(f3(a911),x69382),x69381))))
% 28.33/28.22 [7039]P107(f328(f328(f239(a911),x70392),x70391))+P107(f328(f328(f240(a911),x70391),x70392))+P107(f328(x70393,f328(f104(a1),f328(f328(f3(a911),x70391),x70392))))
% 28.33/28.22 [7112]E(f328(f328(f83(a911),f328(f108(a911),x71121)),f328(f328(f83(a911),f328(f108(a911),x71122)),x71123)),f328(f328(f83(a911),f328(f108(a911),x71121)),x71123))+P107(f328(a195,f328(f108(a1),x71121)))+~P107(f328(a195,f328(f108(a1),x71122)))
% 28.33/28.22 [7189]~E(x71892,f328(f328(f39(a911),x71893),x71891))+~P107(f328(f328(f240(a911),f2(a911)),x71891))+P107(f328(f328(f239(a911),f328(f328(f84(a911),x71891),x71892)),x71893))
% 28.33/28.22 [7301]~P107(f328(f64(x73011),x73013))+~P107(f328(f64(x73011),x73012))+P107(f328(f64(x73011),f328(f328(f3(f918(x73011,a905)),x73012),x73013)))
% 28.33/28.22 [7302]~P107(f328(f64(x73021),x73023))+~P107(f328(f64(x73021),x73022))+P107(f328(f64(x73021),f328(f328(f105(f918(x73021,a905)),x73022),x73023)))
% 28.33/28.22 [7303]~P107(f328(f64(x73031),x73033))+~P107(f328(f64(x73031),x73032))+P107(f328(f64(x73031),f328(f328(f105(f918(x73031,a905)),x73032),x73033)))
% 28.33/28.22 [7352]~P44(x73521,x73523)+~P44(x73521,x73522)+P44(x73521,f328(f328(f106(f918(f917(x73521,x73521),a905)),x73522),x73523))
% 28.33/28.22 [7353]~P58(x73531,x73533)+~P58(x73531,x73532)+P58(x73531,f328(f328(f105(f918(f917(x73531,x73531),a905)),x73532),x73533))
% 28.33/28.22 [7354]~P58(x73541,x73543)+~P58(x73541,x73542)+P58(x73541,f328(f328(f106(f918(f917(x73541,x73541),a905)),x73542),x73543))
% 28.33/28.22 [7609]~P109(x76091)+~P107(f328(f64(x76091),x76092))+E(f141(x76091,f328(f328(f3(f918(x76091,a905)),x76092),f328(f328(f310(x76091),x76093),f190(f918(x76091,a905))))),f172(x76091,x76093,f141(x76091,x76092)))
% 28.33/28.22 [7670]P107(f328(x76701,f2(a1)))+~P107(f328(f328(f240(a911),x76702),x76703))+~P107(f328(x76701,f328(f104(a1),f328(f328(f3(a911),x76702),x76703))))
% 28.33/28.22 [7688]~P107(f328(f64(x76881),x76882))+E(f328(f38(x76881),f328(f328(f3(f918(x76881,a905)),x76882),f328(f328(f310(x76881),x76883),f190(f918(x76881,a905))))),f328(f38(x76881),x76882))+P107(f328(f328(f330(x76881),x76883),x76882))
% 28.33/28.22 [7819]~P125(x78191)+~P107(f328(f328(f240(x78191),f81(x78191)),x78192))+P107(f328(f328(f240(x78191),f81(x78191)),f328(f328(f84(x78191),x78192),f328(f328(f248(x78191),x78192),x78193))))
% 28.33/28.22 [7862]~P107(f328(f64(x78621),x78623))+E(f328(f328(f3(a911),f328(f38(x78621),x78622)),f328(f38(x78621),x78623)),f328(f38(x78621),f328(f328(f3(f918(x78621,a905)),x78622),x78623)))+~P107(f328(f328(f239(f918(x78621,a905)),x78623),x78622))
% 28.33/28.22 [7921]~P107(f328(f328(f239(a911),x79212),x79213))+~P107(f328(f328(f239(a911),x79211),f328(f328(f3(a911),x79213),x79212)))+P107(f328(f328(f239(a911),f328(f328(f83(a911),x79211),x79212)),x79213))
% 28.33/28.22 [7978]P107(f328(f64(x79781),x79782))+~P107(f328(f64(x79781),x79783))+~P107(f328(f64(x79781),f328(f328(f3(f918(x79781,a905)),x79782),x79783)))
% 28.33/28.22 [7983]~P107(f328(f64(x79831),x79832))+E(f328(f38(x79831),f328(f328(f3(f918(x79831,a905)),x79832),f328(f328(f310(x79831),x79833),f190(f918(x79831,a905))))),f328(f328(f3(a911),f328(f38(x79831),x79832)),f81(a911)))+~P107(f328(f328(f330(x79831),x79833),x79832))
% 28.33/28.22 [7984]~P107(f328(f64(x79841),x79842))+E(f328(f38(x79841),f328(f328(f3(f918(x79841,a905)),x79842),f328(f328(f310(x79841),x79843),f190(f918(x79841,a905))))),f328(f328(f3(a911),f328(f38(x79841),x79842)),f81(a911)))+~P107(f328(f328(f330(x79841),x79843),x79842))
% 28.33/28.22 [8060]P66(x80601,x80602)+~P66(x80601,x80603)+~P107(f328(f328(f239(f918(x80601,f918(x80601,a905))),x80602),x80603))
% 28.33/28.22 [8100]~P107(f328(f328(f239(a911),x81003),x81002))+P107(f328(f328(f239(a911),x81001),f328(f328(f3(a911),x81002),x81003)))+~P107(f328(f328(f239(a911),f328(f328(f83(a911),x81001),x81003)),x81002))
% 28.33/28.22 [8120]P43(x81201,x81202)+~P43(x81201,x81203)+~P107(f328(f328(f239(f918(f917(x81201,x81201),a905)),x81202),x81203))
% 28.33/28.22 [8121]P64(x81211,x81212)+~P64(x81211,x81213)+~P107(f328(f328(f239(f918(f917(x81211,x81211),a905)),x81212),x81213))
% 28.33/28.22 [8122]P45(x81221,x81222)+~P45(x81221,x81223)+~P107(f328(f328(f239(f918(f917(x81221,x81221),a905)),x81222),x81223))
% 28.33/28.22 [8363]~P125(x83631)+~P107(f328(f328(f240(x83631),f81(x83631)),x83632))+P107(f328(f328(f240(x83631),f328(f328(f248(x83631),x83632),x83633)),f328(f328(f84(x83631),x83632),f328(f328(f248(x83631),x83632),x83633))))
% 28.33/28.22 [8455]~P107(f328(x84551,f2(a1)))+~P107(f328(x84551,f328(f328(f3(a1),f328(f104(a1),x84552)),f328(f104(a1),x84553))))+P107(f328(x84551,f328(f104(a1),f328(f328(f3(a911),x84552),x84553))))
% 28.33/28.22 [8468]~P107(f328(f328(f239(a911),x84683),x84682))+P107(f328(x84681,f328(f328(f3(a1),f328(f104(a1),x84682)),f328(f104(a1),x84683))))+~P107(f328(x84681,f328(f104(a1),f328(f328(f3(a911),x84682),x84683))))
% 28.33/28.22 [8486]P107(f328(f328(f240(a911),x84861),x84862))+~P107(f328(x84863,f328(f328(f3(a1),f328(f104(a1),x84861)),f328(f104(a1),x84862))))+P107(f328(x84863,f328(f104(a1),f328(f328(f3(a911),x84861),x84862))))
% 28.33/28.22 [8539]~P127(x85392)+E(x85391,f2(x85392))+P107(f328(f328(f240(x85392),f2(x85392)),f328(f328(f83(x85392),f328(f328(f84(x85392),x85393),x85393)),f328(f328(f84(x85392),x85391),x85391))))
% 28.33/28.22 [8540]~P127(x85402)+E(x85401,f2(x85402))+P107(f328(f328(f240(x85402),f2(x85402)),f328(f328(f83(x85402),f328(f328(f84(x85402),x85401),x85401)),f328(f328(f84(x85402),x85403),x85403))))
% 28.33/28.22 [8649]~P107(f328(f328(f240(a911),f2(a911)),x86491))+~P107(f328(f328(f240(a1),x86492),x86493))+P107(f328(f328(f240(a1),f328(f328(f84(a1),f328(f104(a1),x86491)),x86492)),f328(f328(f84(a1),f328(f104(a1),x86491)),x86493)))
% 28.33/28.22 [8706]E(f328(f328(f106(f918(x87061,a905)),x87062),f40(f918(x87061,a905),x87063)),f190(f918(x87061,a905)))+P107(f328(f328(f330(f918(x87061,a905)),x87062),x87063))+P107(f328(f328(f330(f918(x87061,a905)),f638(x87063,x87062,x87061)),f328(f328(f310(f918(x87061,a905)),x87062),x87063)))
% 28.33/28.22 [8707]E(f328(f328(f106(f918(x87071,a905)),x87072),f40(f918(x87071,a905),x87073)),f190(f918(x87071,a905)))+P107(f328(f328(f330(f918(x87071,a905)),x87072),x87073))+P107(f328(f328(f330(f918(x87071,a905)),f637(x87073,x87072,x87071)),f328(f328(f310(f918(x87071,a905)),x87072),x87073)))
% 28.33/28.22 [8734]E(x87341,x87342)+~E(f328(f191(f912(x87343)),x87341),f328(f191(f912(x87343)),x87342))+P107(f328(f328(f330(f917(x87343,x87343)),f592(x87343,x87341,x87342)),f328(f174(f917(x87343,x87343)),f328(f328(f183(x87343,x87343),x87342),x87341))))
% 28.33/28.22 [8973]E(f308(x89731,x89732),f308(x89731,x89733))+~P107(f328(f328(f239(f918(f917(x89731,x89731),a905)),x89733),f308(x89731,x89732)))+~P107(f328(f328(f239(f918(f917(x89731,x89731),a905)),x89732),x89733))
% 28.33/28.22 [9040]~P59(x90401,f246(f918(x90401,a905)),x90403)+P107(f328(f328(f239(f918(f917(f912(x90401),f912(x90401)),a905)),f159(x90401,x90402)),f160(x90401,x90403)))+~P107(f328(f328(f239(f918(f917(x90401,x90401),a905)),x90402),x90403))
% 28.33/28.22 [9235]P43(x92351,x92352)+~P107(f328(f328(f330(x92351),x92353),f760(x92352,x92351)))+P107(f328(f328(f330(f917(x92351,x92351)),f328(f328(f256(x92351,x92351),f777(x92352,x92351,x92353)),x92353)),x92352))
% 28.33/28.22 [9277]~P107(f328(f64(x92771),x92772))+P107(f328(f64(f918(x92771,a905)),f328(f328(f63(x92771),x92772),x92773)))+~P107(f328(f328(f239(f918(f917(x92771,x92771),a905)),x92773),f328(f328(f258(x92771,x92771),x92772),f328(f18(f918(x92771,a905),x92771),x92772))))
% 28.33/28.22 [9314]P59(x93141,x93142,x93143)+P107(f328(f328(f330(x93141),f535(x93143,x93142,x93141)),x93142))+~P107(f328(f328(f239(f918(f917(x93141,x93141),a905)),x93143),f328(f328(f258(x93141,x93141),x93142),f328(f18(f918(x93141,a905),x93141),x93142))))
% 28.33/28.22 [9315]P59(x93151,x93152,x93153)+P107(f328(f328(f330(x93151),f541(x93152,x93153,x93151)),x93152))+~P107(f328(f328(f239(f918(f917(x93151,x93151),a905)),x93153),f328(f328(f258(x93151,x93151),x93152),f328(f18(f918(x93151,a905),x93151),x93152))))
% 28.33/28.22 [9347]~P72(x93471)+~P107(f328(f328(f240(x93471),x93472),x93473))+P107(f328(f328(f240(x93471),f328(f328(f291(x93471),f328(f328(f83(x93471),x93472),x93473)),f328(f328(f83(x93471),f81(x93471)),f81(x93471)))),x93473))
% 28.33/28.22 [9373]~P71(x93731)+P107(f328(f328(f239(x93731),x93732),x93733))+~P107(f328(f328(f239(x93731),f328(f328(f84(x93731),f859(x93733,x93732,x93731)),x93732)),x93733))
% 28.33/28.22 [9504]E(f328(f191(f912(f912(x95041))),f328(f138(f912(x95041),f328(f328(f10(a911,a905,f912(x95041)),f328(f240(a911),x95042)),f191(f912(x95041)))),f181(x95041,x95043))),f328(f191(f912(x95041)),f328(f328(f166(f912(x95041)),x95043),x95042)))+~P18(a911,f328(f170(a911),f328(f328(f156(f912(x95041),a911),f191(f912(x95041))),x95043)))+~P107(f328(f328(f240(a911),x95042),f328(f191(f912(f912(x95041))),x95043)))
% 28.33/28.22 [9616]~P43(x96161,x96162)+P32(x96161,f328(f328(f256(f918(f917(x96161,x96161),a905),f918(f917(x96161,x96161),a905)),x96162),x96163))+~P107(f328(f328(f239(f918(f917(x96161,x96161),a905)),f328(f328(f290(x96161,x96161,x96161),x96162),x96163)),x96162))
% 28.33/28.22 [9622]E(f328(f328(f156(f912(x96221),x96221),f328(f328(f9(f912(x96221),a911,x96221),f166(x96221)),x96222)),f328(f138(f912(x96221),f328(f328(f10(a911,a905,f912(x96221)),f328(f240(a911),x96222)),f191(f912(x96221)))),f181(x96221,x96223))),f328(f328(f166(f912(x96221)),x96223),x96222))+~P18(a911,f328(f170(a911),f328(f328(f156(f912(x96221),a911),f191(f912(x96221))),x96223)))+~P107(f328(f328(f240(a911),x96222),f328(f191(f912(f912(x96221))),x96223)))
% 28.33/28.22 [9753]P59(x97531,x97532,x97533)+~P107(f328(f328(f330(f917(x97531,x97531)),f328(f328(f256(x97531,x97531),f535(x97533,x97532,x97531)),f535(x97533,x97532,x97531))),x97533))+~P107(f328(f328(f239(f918(f917(x97531,x97531),a905)),x97533),f328(f328(f258(x97531,x97531),x97532),f328(f18(f918(x97531,a905),x97531),x97532))))
% 28.33/28.22 [9754]P59(x97541,x97542,x97543)+~P107(f328(f328(f330(f917(x97541,x97541)),f328(f328(f256(x97541,x97541),f541(x97542,x97543,x97541)),f541(x97542,x97543,x97541))),x97543))+~P107(f328(f328(f239(f918(f917(x97541,x97541),a905)),x97543),f328(f328(f258(x97541,x97541),x97542),f328(f18(f918(x97541,a905),x97541),x97542))))
% 28.33/28.22 [9921]~P140(x99211)+~P124(x99211)+E(f328(f328(f291(x99211),f328(f107(x99211),f328(f328(f76(f917(a1,a1),a1,x99212,f255(a1,a1)),f216(x99212)),x99213))),f328(f107(x99211),f328(f328(f76(f917(a1,a1),a1,x99212,f260(a1,a1)),f216(x99212)),x99213))),f226(x99212,x99211,x99213))
% 28.33/28.22 [10111]~E(x101113,f2(a911))+~E(f328(f191(f912(x101111)),f328(f328(f166(f912(x101111)),x101112),f657(x101113,x101111,x101112))),x101113)+E(f328(f328(f156(a911,f912(x101111)),f328(f328(f9(a911,f912(a911),f912(x101111)),f328(f328(f10(f918(a911,x101111),f918(f912(a911),f912(x101111)),a911),f156(a911,x101111)),f328(f9(a911,a911,x101111),f328(f328(f10(f912(x101111),f918(a911,x101111),a911),f166(x101111)),f328(f166(f912(x101111)),x101112))))),f141(a911,f328(f303(a911,f2(a911)),f328(f191(f912(f912(x101111))),x101112))))),f141(a911,f328(f303(a911,f2(a911)),x101113))),f181(x101111,x101112))
% 28.33/28.22 [10112]E(x101121,f117(f912(x101122)))+~E(f328(f191(f912(x101122)),f328(f328(f166(f912(x101122)),x101121),f657(x101123,x101122,x101121))),x101123)+E(f328(f328(f156(a911,f912(x101122)),f328(f328(f9(a911,f912(a911),f912(x101122)),f328(f328(f10(f918(a911,x101122),f918(f912(a911),f912(x101122)),a911),f156(a911,x101122)),f328(f9(a911,a911,x101122),f328(f328(f10(f912(x101122),f918(a911,x101122),a911),f166(x101122)),f328(f166(f912(x101122)),x101121))))),f141(a911,f328(f303(a911,f2(a911)),f328(f191(f912(f912(x101122))),x101121))))),f141(a911,f328(f303(a911,f2(a911)),x101123))),f181(x101122,x101121))
% 28.33/28.22 [10113]~E(x101133,f2(a911))+E(f328(f328(f156(a911,f912(x101131)),f328(f328(f9(a911,f912(a911),f912(x101131)),f328(f328(f10(f918(a911,x101131),f918(f912(a911),f912(x101131)),a911),f156(a911,x101131)),f328(f9(a911,a911,x101131),f328(f328(f10(f912(x101131),f918(a911,x101131),a911),f166(x101131)),f328(f166(f912(x101131)),x101132))))),f141(a911,f328(f303(a911,f2(a911)),f328(f191(f912(f912(x101131))),x101132))))),f141(a911,f328(f303(a911,f2(a911)),x101133))),f181(x101131,x101132))+P107(f328(f328(f240(a911),f657(x101133,x101131,x101132)),f328(f191(f912(f912(x101131))),x101132)))
% 28.33/28.22 [10114]E(x101141,f117(f912(x101142)))+E(f328(f328(f156(a911,f912(x101142)),f328(f328(f9(a911,f912(a911),f912(x101142)),f328(f328(f10(f918(a911,x101142),f918(f912(a911),f912(x101142)),a911),f156(a911,x101142)),f328(f9(a911,a911,x101142),f328(f328(f10(f912(x101142),f918(a911,x101142),a911),f166(x101142)),f328(f166(f912(x101142)),x101141))))),f141(a911,f328(f303(a911,f2(a911)),f328(f191(f912(f912(x101142))),x101141))))),f141(a911,f328(f303(a911,f2(a911)),x101143))),f181(x101142,x101141))+P107(f328(f328(f240(a911),f657(x101143,x101142,x101141)),f328(f191(f912(f912(x101142))),x101141)))
% 28.33/28.22 [7859]E(f328(f328(f83(a911),f328(f108(a911),x78591)),f328(f328(f83(a911),f328(f108(a911),x78592)),x78593)),f328(f328(f83(a911),f328(f108(a911),f328(f328(f83(a1),x78591),x78592))),x78593))+P107(f328(a195,f328(f108(a1),x78591)))+P107(f328(a195,f328(f108(a1),x78592)))
% 28.33/28.22 [8641]~P107(f328(f64(x86411),x86412))+~P107(f328(f328(f330(x86411),x86413),x86412))+E(f328(a116,f328(f38(x86411),f328(f328(f3(f918(x86411,a905)),x86412),f328(f328(f310(x86411),x86413),f190(f918(x86411,a905)))))),f328(f38(x86411),x86412))
% 28.33/28.22 [8659]~P107(f328(f64(x86591),x86592))+~P107(f328(f328(f330(x86591),x86593),x86592))+E(f328(f328(f83(a911),f81(a911)),f328(f38(x86591),f328(f328(f3(f918(x86591,a905)),x86592),f328(f328(f310(x86591),x86593),f190(f918(x86591,a905)))))),f328(f38(x86591),x86592))
% 28.33/28.22 [8743]~P109(x87431)+~P107(f328(f64(x87431),x87433))+E(f328(f328(f150(x87431,x87431,f7(x87431)),x87432),f141(x87431,f328(f328(f3(f918(x87431,a905)),x87433),f328(f328(f310(x87431),x87432),f190(f918(x87431,a905)))))),f141(x87431,f328(f328(f310(x87431),x87432),x87433)))
% 28.33/28.22 [8900]~P107(f328(f64(x89001),x89003))+~P107(f328(f64(x89001),x89002))+E(f328(f328(f83(a911),f328(f38(x89001),f328(f328(f105(f918(x89001,a905)),x89002),x89003))),f328(f38(x89001),f328(f328(f106(f918(x89001,a905)),x89002),x89003))),f328(f328(f83(a911),f328(f38(x89001),x89002)),f328(f38(x89001),x89003)))
% 28.33/28.22 [8901]~P107(f328(f64(x89011),x89013))+~P107(f328(f64(x89011),x89012))+E(f328(f328(f83(a911),f328(f38(x89011),f328(f328(f105(f918(x89011,a905)),x89012),x89013))),f328(f38(x89011),f328(f328(f106(f918(x89011,a905)),x89012),x89013))),f328(f328(f83(a911),f328(f38(x89011),x89012)),f328(f38(x89011),x89013)))
% 28.33/28.22 [10060]~P30(x100601,f918(f918(x100601,a905),a905),f328(f328(f9(x100601,f918(f917(x100601,x100601),a905),f918(f918(x100601,a905),a905)),f328(f328(f10(f918(x100601,a905),f918(f918(f917(x100601,x100601),a905),f918(f918(x100601,a905),a905)),x100601),f63(x100601)),f328(f328(f9(x100601,f918(x100601,a905),f918(x100601,a905)),f310(x100601)),f190(f918(x100601,a905))))),x100603),x100602)+~P107(f328(f64(x100601),x100602))+E(f328(f38(f918(x100601,a905)),f328(f328(f63(x100601),x100602),x100603)),f328(f38(x100601),x100602))
% 28.33/28.22 [8137]~P94(x81371)+P107(f328(f328(f239(a1),f2(a1)),f328(f108(a1),x81373)))+E(f328(f328(f248(x81371),x81372),f328(f108(a911),f328(f328(f3(a1),f328(f328(f83(a1),x81373),x81373)),a101))),f81(x81371))
% 28.33/28.22 [8237]~P94(x82371)+P107(f328(f328(f239(a1),f2(a1)),f328(f108(a1),x82373)))+E(f328(f328(f248(x82371),f328(f108(x82371),x82372)),f328(f108(a911),f328(f328(f3(a1),f328(f328(f83(a1),x82373),x82373)),a101))),f81(x82371))
% 28.33/28.22 [9601]~P94(x96011)+~P107(f328(f328(f239(a1),f2(a1)),f328(f108(a1),x96013)))+E(f328(f328(f248(x96011),x96012),f328(f108(a911),f328(f328(f3(a1),f328(f328(f83(a1),x96013),x96013)),a101))),f328(f328(f89(x96011,x96011),f328(f328(f248(x96011),x96012),f328(f108(a911),x96013))),f328(f328(f20(x96011,x96011,x96011),f328(f328(f10(x96011,f918(x96011,x96011),x96011),f84(x96011)),f328(f84(x96011),x96012))),f7(x96011))))
% 28.33/28.22 [9665]~P94(x96651)+~P107(f328(f328(f239(a1),f2(a1)),f328(f108(a1),x96653)))+E(f328(f328(f248(x96651),f328(f108(x96651),x96652)),f328(f108(a911),f328(f328(f3(a1),f328(f328(f83(a1),x96653),x96653)),a101))),f328(f328(f89(x96651,x96651),f328(f328(f248(x96651),f328(f108(x96651),x96652)),f328(f108(a911),x96653))),f328(f328(f20(x96651,x96651,x96651),f328(f328(f10(x96651,f918(x96651,x96651),x96651),f84(x96651)),f328(f84(x96651),f328(f108(x96651),x96652)))),f7(x96651))))
% 28.33/28.22 [9980]~P107(f328(f139(x99801),x99803))+~P107(f328(f328(f330(x99801),x99802),f328(f174(x99801),x99803)))+E(f328(f328(f140(x99801),f328(f191(f912(x99801)),f179(x99801,f328(f328(f10(a905,a905,x99801),a323),f328(f328(f9(x99801,x99801,a905),a325),x99802)),f328(f170(x99801),x99803)))),f328(f170(x99801),x99803)),f328(f328(f153(x99801),x99802),f328(f170(x99801),f179(x99801,f328(f328(f10(a905,a905,x99801),a323),f328(f328(f9(x99801,x99801,a905),a325),x99802)),x99803))))
% 28.33/28.22 [10041]P107(f328(f328(f239(f918(f917(x100411,x100411),a905)),f308(x100411,x100412)),x100413))+~P107(f328(f328(f239(f918(f917(x100411,x100411),a905)),f308(x100411,f190(f918(f917(x100411,x100411),a905)))),x100413))+~P107(f328(f328(f239(f918(f917(x100411,x100411),a905)),f328(f328(f290(x100411,x100411,x100411),f328(f328(f106(f918(f917(x100411,x100411),a905)),f308(x100411,x100412)),x100413)),x100412)),x100413))
% 28.33/28.22 [9899]~P107(f328(f64(x98991),f328(f266(x98991),x98993)))+~P107(f328(f64(x98991),f328(f266(x98991),x98992)))+P107(f328(f64(x98991),f328(f266(x98991),f328(f328(f20(x98991,a905,a905),f328(f328(f10(a905,f918(a905,a905),x98991),a327),x98992)),x98993))))
% 28.33/28.22 [10172]P107(f328(f328(f239(f918(f917(x101721,x101721),a905)),f328(f328(f290(x101721,x101721,x101721),x101722),f308(x101721,x101722))),x101723))+~P107(f328(f328(f239(f918(f917(x101721,x101721),a905)),x101722),x101723))+~P107(f328(f328(f239(f918(f917(x101721,x101721),a905)),f328(f328(f290(x101721,x101721,x101721),f328(f328(f106(f918(f917(x101721,x101721),a905)),f328(f328(f290(x101721,x101721,x101721),x101722),f308(x101721,x101722))),x101723)),x101722)),x101723))
% 28.33/28.22 [10127]~P113(x101272)+E(x101271,f2(x101272))+~E(f328(f328(f83(x101272),f328(f328(f248(x101272),x101273),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))),f328(f328(f248(x101272),x101271),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))),f2(x101272))
% 28.33/28.22 [10128]~P113(x101282)+E(x101281,f2(x101282))+~E(f328(f328(f83(x101282),f328(f328(f248(x101282),x101281),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))),f328(f328(f248(x101282),x101283),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))),f2(x101282))
% 28.33/28.22 [10133]~P107(f328(f139(x101331),x101333))+~P107(f328(f328(f330(x101331),x101332),f328(f174(x101331),x101333)))+E(f328(f170(x101331),f328(f173(x101331),f328(f328(f140(x101331),f328(f191(f912(x101331)),f179(x101331,f328(f328(f10(a905,a905,x101331),a323),f328(f328(f9(x101331,x101331,a905),a325),x101332)),x101333))),x101333))),f179(x101331,f328(f328(f10(a905,a905,x101331),a323),f328(f328(f9(x101331,x101331,a905),a325),x101332)),f328(f170(x101331),x101333)))
% 28.33/28.22 [10219]~P113(x102192)+E(x102191,f2(x102192))+P107(f328(f328(f240(x102192),f2(x102192)),f328(f328(f83(x102192),f328(f328(f248(x102192),x102193),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))),f328(f328(f248(x102192),x102191),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))))
% 28.33/28.22 [10220]~P113(x102202)+E(x102201,f2(x102202))+P107(f328(f328(f240(x102202),f2(x102202)),f328(f328(f83(x102202),f328(f328(f248(x102202),x102201),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))),f328(f328(f248(x102202),x102203),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))))
% 28.33/28.22 [10272]~P113(x102721)+P107(f328(f328(f239(x102721),f2(x102721)),x102722))+~P107(f328(f328(f239(x102721),f2(x102721)),f328(f328(f248(x102721),x102722),f328(a116,f328(f328(f84(a911),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x102723)))))
% 28.33/28.22 [5623]~P29(x56231,x56234,x56233)+P29(x56231,x56232,x56233)+~P29(x56231,x56232,x56234)
% 28.33/28.22 [5087]~E(x50872,f93(x50873,x50871))+P107(f328(x50871,x50872))+~P107(f328(x50871,x50874))
% 28.33/28.22 [5330]E(f71(x53303,x53302,x53304),x53302)+E(x53301,f756(x53302,x53303,x53304))+~P107(f328(x53304,x53301))
% 28.33/28.22 [6645]E(f71(x66451,x66452,x66453),f88(x66451,x66453))+~E(f804(x66452,x66451,x66453,x66454),x66454)+~P107(f328(x66453,x66454))
% 28.33/28.22 [6850]~P43(x68502,x68504)+~P43(x68501,x68503)+P43(f917(x68501,x68502),f320(x68501,x68502,x68503,x68504))
% 28.33/28.22 [6851]~P44(x68512,x68514)+~P44(x68511,x68513)+P44(f917(x68511,x68512),f320(x68511,x68512,x68513,x68514))
% 28.33/28.22 [8217]~P47(f33(x82174,x82171),x82172,x82173,x82172)+P47(x82171,x82172,x82173,f599(x82173,x82172,x82171,x82174))+~P107(f328(x82174,x82172))
% 28.33/28.22 [8246]~P47(f33(x82461,x82462),x82464,x82463,x82464)+P47(f33(x82461,x82462),f599(x82463,x82464,x82462,x82461),x82463,x82464)+~P107(f328(x82461,x82464))
% 28.33/28.22 [5269]~P12(x52694,x52691)+~E(f328(x52691,x52692),f328(x52691,x52693))+P107(f328(f328(x52691,x52692),x52693))
% 28.33/28.22 [5437]~P12(x54374,x54371)+E(f328(x54371,x54372),f328(x54371,x54373))+~P107(f328(f328(x54371,x54372),x54373))
% 28.33/28.22 [5438]~P20(x54384,x54381)+E(f328(x54381,x54382),f328(x54381,x54383))+~P107(f328(f328(x54381,x54382),x54383))
% 28.33/28.22 [5530]~P23(x55303,x55304,x55301)+E(f328(x55301,x55302),f328(f66(x55303,x55304),x55302))+~P107(f328(f64(x55303),x55302))
% 28.33/28.22 [5531]~P14(x55313,x55314,x55311)+E(f328(x55311,x55312),f328(f66(x55313,x55314),x55312))+~P107(f328(f64(x55313),x55312))
% 28.33/28.22 [5656]~P12(x56564,x56561)+~P107(f328(f328(x56561,x56563),x56562))+P107(f328(f328(x56561,x56562),x56563))
% 28.33/28.22 [5657]~P57(x56574,x56571)+~P107(f328(f328(x56571,x56573),x56572))+P107(f328(f328(x56571,x56572),x56573))
% 28.33/28.22 [5658]~P20(x56584,x56581)+~P107(f328(f328(x56581,x56583),x56582))+P107(f328(f328(x56581,x56582),x56583))
% 28.33/28.22 [5659]~P20(x56593,x56591)+P107(f328(f328(x56591,x56592),x56592))+~P107(f328(f328(x56591,x56594),x56592))
% 28.33/28.22 [5660]~P20(x56603,x56601)+P107(f328(f328(x56601,x56602),x56602))+~P107(f328(f328(x56601,x56602),x56604))
% 28.33/28.22 [5729]E(x57291,x57292)+~E(f328(f255(x57293,x57294),x57291),f328(f255(x57293,x57294),x57292))+~E(f328(f260(x57293,x57294),x57291),f328(f260(x57293,x57294),x57292))
% 28.33/28.22 [5730]E(x57301,x57302)+~E(f328(f255(x57303,x57304),x57301),f328(f255(x57303,x57304),x57302))+~E(f328(f260(x57303,x57304),x57301),f328(f260(x57303,x57304),x57302))
% 28.33/28.22 [5757]E(x57571,x57572)+~P107(f328(f51(x57573,x57574),x57572))+~P107(f328(f51(x57573,x57574),x57571))
% 28.33/28.22 [5947]~P76(x59472)+E(f235(x59471,x59472,x59473,x59474),f2(x59472))+P107(f328(f64(x59471),x59474))
% 28.33/28.22 [6088]~P107(f328(f316(x60881,x60882),x60884))+P107(f328(f316(x60881,x60882),x60883))+~P107(f328(f328(x60882,x60883),x60884))
% 28.33/28.22 [6089]~P107(f328(f316(x60891,x60892),x60894))+P107(f328(f316(x60891,x60892),x60893))+~P107(f328(f328(x60892,x60893),x60894))
% 28.33/28.22 [6090]~P107(f328(f316(x60901,x60902),x60904))+P107(f328(f316(x60901,x60902),x60903))+~P107(f328(f328(x60902,x60903),x60904))
% 28.33/28.22 [6884]~P36(x68841,x68843,x68844)+P107(f328(x68841,x68842))+~P107(f328(f328(f330(a1),x68842),f304(a1,x68843,x68844)))
% 28.33/28.22 [7973]E(x79731,f2(a911))+~P107(f328(x79732,x79733))+P107(f328(x79732,f798(x79732,x79733,x79731,x79734)))
% 28.33/28.22 [8055]~P109(x80552)+~P107(f328(f139(x80551),x80554))+P107(f328(f139(x80551),f152(x80551,x80552,x80553,x80554)))
% 28.33/28.22 [8099]E(f71(x80991,x80992,x80993),f88(x80991,x80993))+~P107(f328(x80993,x80994))+P107(f328(x80993,f804(x80992,x80991,x80993,x80994)))
% 28.33/28.22 [8287]~P107(f328(f64(x82872),x82874))+~P107(f328(f64(x82871),x82873))+P107(f328(f64(f919(x82871,x82872)),f314(x82871,x82872,x82873,x82874)))
% 28.33/28.22 [8288]~P107(f328(f64(x82882),x82884))+~P107(f328(f64(x82881),x82883))+P107(f328(f64(f919(x82881,x82882)),f314(x82881,x82882,x82883,x82884)))
% 28.33/28.22 [8289]~P107(f328(f139(x82892),x82894))+~P107(f328(f139(x82891),x82893))+P107(f328(f139(f917(x82891,x82892)),f62(x82891,x82892,x82893,x82894)))
% 28.33/28.22 [8292]P107(f328(f328(f330(f912(x82921)),f328(f328(f136(x82921),x82922),x82923)),f163(x82921,x82924)))+~P107(f328(f328(f330(f912(x82921)),x82923),f163(x82921,x82924)))+~P107(f328(f328(f330(f912(x82921)),x82922),f163(x82921,x82924)))
% 28.33/28.22 [8572]E(x85721,f2(a911))+P107(f328(x85722,x85723))+~P107(f328(x85722,f799(x85722,x85723,x85721,x85724)))
% 28.33/28.22 [8616]~P109(x86163)+~P107(f328(f139(x86161),f152(x86161,x86163,x86164,x86162)))+P107(f328(f139(x86161),x86162))
% 28.33/28.22 [8890]~P107(f328(f328(f330(f917(x88901,x88901)),f328(f328(f256(x88901,x88901),x88902),x88904)),f308(x88901,x88903)))+P107(f328(f328(f330(x88901),x88902),f317(x88901,x88903)))+~P107(f328(f328(f330(x88901),x88904),f317(x88901,x88903)))
% 28.33/28.22 [8891]~P107(f328(f328(f330(f917(x88911,x88911)),f328(f328(f256(x88911,x88911),x88912),x88914)),f308(x88911,x88913)))+P107(f328(f328(f330(x88911),x88912),f317(x88911,x88913)))+~P107(f328(f328(f330(x88911),x88914),f317(x88911,x88913)))
% 28.33/28.22 [5251]~P78(x52512)+E(f328(f328(f11(x52511,x52512),x52513),x52514),f81(x52512))+P107(f328(f64(x52511),x52514))
% 28.33/28.22 [5252]~P78(x52522)+E(f328(f328(f11(x52521,x52522),x52523),x52524),f81(x52522))+P107(f328(f64(x52521),x52524))
% 28.33/28.22 [5253]~P78(x52532)+E(f328(f328(f11(x52531,x52532),x52533),x52534),f81(x52532))+P107(f328(f64(x52531),x52534))
% 28.33/28.22 [5254]~P76(x52542)+E(f328(f328(f8(x52541,x52542),x52543),x52544),f2(x52542))+P107(f328(f64(x52541),x52544))
% 28.33/28.22 [5255]~P76(x52552)+E(f328(f328(f8(x52551,x52552),x52553),x52554),f2(x52552))+P107(f328(f64(x52551),x52554))
% 28.33/28.22 [5256]~P76(x52562)+E(f328(f328(f8(x52561,x52562),x52563),x52564),f2(x52562))+P107(f328(f64(x52561),x52564))
% 28.33/28.22 [5400]~P4(x54003)+E(x54001,x54002)+~E(f328(f328(f83(x54003),x54004),x54001),f328(f328(f83(x54003),x54004),x54002))
% 28.33/28.22 [5401]~P4(x54013)+E(x54011,x54012)+~E(f328(f328(f83(x54013),x54014),x54011),f328(f328(f83(x54013),x54014),x54012))
% 28.33/28.22 [5402]~P5(x54023)+E(x54021,x54022)+~E(f328(f328(f83(x54023),x54024),x54021),f328(f328(f83(x54023),x54024),x54022))
% 28.33/28.22 [5403]~P4(x54033)+E(x54031,x54032)+~E(f328(f328(f83(x54033),x54031),x54034),f328(f328(f83(x54033),x54032),x54034))
% 28.33/28.22 [5404]~P4(x54043)+E(x54041,x54042)+~E(f328(f328(f83(x54043),x54041),x54044),f328(f328(f83(x54043),x54042),x54044))
% 28.33/28.22 [5526]~P10(x55263)+E(x55261,f190(f918(x55262,a905)))+E(f328(f328(f42(x55262,x55263),x55261),f328(f18(x55263,x55262),x55264)),x55264)
% 28.33/28.22 [5527]~P10(x55273)+E(x55271,f190(f918(x55272,a905)))+E(f328(f328(f43(x55272,x55273),x55271),f328(f18(x55273,x55272),x55274)),x55274)
% 28.33/28.22 [5743]~P111(x57433)+E(x57431,x57432)+~E(f304(x57433,x57434,x57431),f328(f328(f310(x57433),x57432),f190(f918(x57433,a905))))
% 28.33/28.22 [5744]~P111(x57443)+E(x57441,x57442)+~E(f304(x57443,x57441,x57442),f328(f328(f310(x57443),x57444),f190(f918(x57443,a905))))
% 28.33/28.22 [5805]~P41(x58053,x58051,x58054)+P41(x58053,x58051,f328(f328(f153(x58053),x58052),x58054))+P107(f328(x58051,x58052))
% 28.33/28.22 [5906]~P37(x59061,x59062,x59064)+~P107(f328(x59062,x59063))+P37(x59061,x59062,f328(f328(f153(x59061),x59063),x59064))
% 28.33/28.22 [6046]P107(f328(x60461,x60462))+~P107(f328(f252(x60463,x60461),x60464))+~P107(f328(f328(f330(x60463),x60462),x60464))
% 28.33/28.22 [6055]~P37(x60551,x60552,x60554)+~P37(x60551,x60552,x60553)+P37(x60551,x60552,f328(f328(f136(x60551),x60553),x60554))
% 28.33/28.22 [6068]P39(x60681,x60682,x60683)+~P39(x60681,x60682,f328(f328(f153(x60681),x60684),x60683))+P107(f328(x60682,x60684))
% 28.33/28.22 [6069]P41(x60691,x60692,x60693)+~P41(x60691,x60692,f328(f328(f153(x60691),x60694),x60693))+P107(f328(x60692,x60694))
% 28.33/28.22 [6080]E(x60801,x60802)+~P107(f328(f328(f196(x60803),x60804),x60802))+~P107(f328(f328(f196(x60803),x60804),x60801))
% 28.33/28.22 [6146]P39(x61461,x61462,x61463)+P39(x61461,x61462,x61464)+~P39(x61461,x61462,f328(f328(f136(x61461),x61464),x61463))
% 28.33/28.22 [6165]~P76(x61651)+E(f328(f328(f8(a911,x61651),x61652),f328(f303(a911,x61653),f328(a116,x61654))),f2(x61651))+~P107(f328(f328(f240(a911),x61654),x61653))
% 28.33/28.22 [6170]~P9(x61701)+~E(f48(x61701,x61702,x61703),f48(x61701,x61704,x61703))+E(f48(x61701,f328(f82(x61701),x61702),x61703),f48(x61701,f328(f82(x61701),x61704),x61703))
% 28.33/28.22 [6240]P107(f328(x62401,x62402))+~E(f328(f138(x62403,x62401),x62404),x62404)+~P107(f328(f328(f330(x62403),x62402),f328(f174(x62403),x62404)))
% 28.33/28.22 [6259]~E(f328(f328(f83(a911),x62593),x62592),f328(f328(f83(a911),x62591),x62594))+~P107(f328(f328(f240(a911),x62593),x62594))+P107(f328(f328(f240(a911),x62591),x62592))
% 28.33/28.22 [6264]P39(x62641,x62642,x62643)+~P107(f328(x62642,x62644))+~P107(f328(f328(f330(x62641),x62644),f328(f174(x62641),x62643)))
% 28.33/28.22 [6265]P39(x62651,x62652,x62653)+~P107(f328(x62652,x62654))+~P107(f328(f328(f330(x62651),x62654),f328(f174(x62651),x62653)))
% 28.33/28.22 [6266]P39(x62661,x62662,x62663)+~P107(f328(x62662,x62664))+~P107(f328(f328(f330(x62661),x62664),f328(f174(x62661),x62663)))
% 28.33/28.22 [6302]~P37(x63023,x63021,x63024)+P107(f328(x63021,x63022))+~P107(f328(f328(f330(x63023),x63022),f328(f174(x63023),x63024)))
% 28.33/28.22 [6303]~P37(x63033,x63031,x63034)+P107(f328(x63031,x63032))+~P107(f328(f328(f330(x63033),x63032),f328(f174(x63033),x63034)))
% 28.33/28.22 [6304]~P37(x63043,x63041,x63044)+P107(f328(x63041,x63042))+~P107(f328(f328(f330(x63043),x63042),f328(f174(x63043),x63044)))
% 28.33/28.22 [6306]~E(f328(f138(x63061,x63062),x63063),f117(x63061))+~P107(f328(x63062,x63064))+~P107(f328(f328(f330(x63061),x63064),f328(f174(x63061),x63063)))
% 28.33/28.22 [6307]~E(f179(x63073,x63071,x63074),x63074)+P107(f328(x63071,x63072))+~P107(f328(f328(f330(x63073),x63072),f328(f174(x63073),x63074)))
% 28.33/28.22 [6333]~E(x63334,f190(f918(x63332,a905)))+~E(x63333,f190(f918(x63331,a905)))+E(f314(x63331,x63332,x63333,x63334),f190(f918(f919(x63331,x63332),a905)))
% 28.33/28.22 [6477]P107(f328(x64771,x64772))+~P107(f328(f162(x64773,x64771),x64774))+~P107(f328(f328(f330(x64773),x64772),f328(f174(x64773),x64774)))
% 28.33/28.22 [6750]~P76(x67501)+E(f328(f328(f8(a911,x67501),x67502),f304(a911,x67503,f328(a116,x67504))),f2(x67501))+~P107(f328(f328(f240(a911),f328(a116,x67504)),x67503))
% 28.33/28.22 [6887]~P109(x68871)+E(f328(f328(f3(f918(x68871,a905)),f328(f303(x68871,x68872),x68873)),f328(f303(x68871,x68872),x68874)),f328(f303(x68871,x68874),x68873))+~P107(f328(f328(f239(x68871),x68872),x68874))
% 28.33/28.22 [6959]~E(x69593,x69594)+E(x69591,f2(a911))+P107(f328(f328(f330(x69592),x69593),f328(f174(x69592),f171(x69592,x69591,x69594))))
% 28.33/28.22 [7234]~P107(f328(f328(f330(f912(x72341)),x72344),f163(x72341,x72343)))+P107(f328(f328(f330(x72341),x72342),x72343))+~P107(f328(f328(f330(x72341),x72342),f328(f174(x72341),x72344)))
% 28.33/28.22 [7241]~P43(x72411,x72412)+P107(f328(f328(f330(x72411),f772(x72412,x72411,x72413)),x72413))+~P107(f328(f328(f330(x72411),x72414),x72413))
% 28.33/28.22 [7272]~P30(x72722,x72721,x72723,x72724)+E(f328(f38(x72721),f328(f311(x72722,x72721,x72723),x72724)),f328(f38(x72722),x72724))+~P107(f328(f64(x72722),x72724))
% 28.33/28.22 [7295]~P78(x72951)+E(f328(f328(f328(f68(x72951,x72952,f84(x72951)),x72953),f81(x72951)),x72954),f328(f328(f11(x72952,x72951),x72953),x72954))+~P107(f328(f64(x72952),x72954))
% 28.33/28.22 [7296]~P78(x72961)+E(f328(f328(f328(f68(x72961,x72962,f84(x72961)),x72963),f81(x72961)),x72964),f328(f328(f11(x72962,x72961),x72963),x72964))+~P107(f328(f64(x72962),x72964))
% 28.33/28.22 [7297]~P76(x72971)+E(f328(f328(f328(f68(x72971,x72972,f83(x72971)),x72973),f2(x72971)),x72974),f328(f328(f8(x72972,x72971),x72973),x72974))+~P107(f328(f64(x72972),x72974))
% 28.33/28.22 [7298]~P76(x72981)+E(f328(f328(f328(f68(x72981,x72982,f83(x72981)),x72983),f2(x72981)),x72984),f328(f328(f8(x72982,x72981),x72983),x72984))+~P107(f328(f64(x72982),x72984))
% 28.33/28.22 [7326]P30(x73261,x73262,x73263,x73264)+~E(f328(f38(x73262),f328(f311(x73261,x73262,x73263),x73264)),f328(f38(x73261),x73264))+~P107(f328(f64(x73261),x73264))
% 28.33/28.22 [7327]P30(x73271,x73272,x73273,x73274)+~E(f328(f38(x73272),f328(f311(x73271,x73272,x73273),x73274)),f328(f38(x73271),x73274))+~P107(f328(f64(x73271),x73274))
% 28.33/28.22 [7524]~P76(x75241)+E(f328(f328(f83(x75241),f328(x75242,x75243)),f328(f328(f8(a911,x75241),x75242),f306(a911,x75243,x75244))),f328(f328(f8(a911,x75241),x75242),f304(a911,x75243,x75244)))+~P107(f328(f328(f239(a911),x75243),x75244))
% 28.33/28.22 [7534]~P78(x75341)+~P30(x75342,x75341,x75343,x75344)+E(f328(f328(f11(x75341,x75341),f35(x75341)),f328(f311(x75342,x75341,x75343),x75344)),f328(f328(f11(x75342,x75341),x75343),x75344))
% 28.33/28.22 [7535]~P76(x75351)+~P30(x75352,x75351,x75353,x75354)+E(f328(f328(f8(x75351,x75351),f35(x75351)),f328(f311(x75352,x75351,x75353),x75354)),f328(f328(f8(x75352,x75351),x75353),x75354))
% 28.33/28.22 [7589]E(f328(f38(f919(x75891,x75892)),f314(x75891,x75892,x75893,x75894)),f328(f328(f83(a911),f328(f38(x75891),x75893)),f328(f38(x75892),x75894)))+~P107(f328(f64(x75892),x75894))+~P107(f328(f64(x75891),x75893))
% 28.33/28.22 [7590]E(f328(f38(f919(x75901,x75902)),f314(x75901,x75902,x75903,x75904)),f328(f328(f83(a911),f328(f38(x75901),x75903)),f328(f38(x75902),x75904)))+~P107(f328(f64(x75902),x75904))+~P107(f328(f64(x75901),x75903))
% 28.33/28.22 [7671]E(x76711,x76712)+P107(f328(f328(f330(x76713),x76711),f328(f174(x76713),f172(x76713,x76712,x76714))))+~P107(f328(f328(f330(x76713),x76711),f328(f174(x76713),x76714)))
% 28.33/28.22 [7898]~P76(x78981)+E(f328(f328(f83(x78981),f328(f328(f8(a911,x78981),x78982),f328(f303(a911,x78983),x78984))),f328(x78982,x78984)),f328(f328(f8(a911,x78981),x78982),f328(f303(a911,x78983),f328(a116,x78984))))+P107(f328(f328(f240(a911),x78984),x78983))
% 28.33/28.22 [7955]~P30(x79551,x79552,x79553,f246(f918(x79551,a905)))+~P107(f328(f64(x79552),x79554))+P107(f328(f64(x79551),f328(f312(x79551,x79552,x79553),x79554)))
% 28.33/28.22 [8070]P107(f328(f328(f330(f912(x80701)),f328(f328(f153(x80701),x80702),x80703)),f163(x80701,x80704)))+~P107(f328(f328(f330(f912(x80701)),x80703),f163(x80701,x80704)))+~P107(f328(f328(f330(x80701),x80702),x80704))
% 28.33/28.22 [8119]E(x81191,x81192)+~P107(f328(f328(f330(x81193),x81191),f328(f174(x81193),f172(x81193,x81192,x81194))))+P107(f328(f328(f330(x81193),x81191),f328(f174(x81193),x81194)))
% 28.33/28.22 [8161]~E(f328(f311(x81613,x81611,x81614),f246(f918(x81613,a905))),f246(f918(x81611,a905)))+P107(f328(f64(x81611),x81612))+~P107(f328(f64(x81613),f328(f312(x81613,x81611,x81614),x81612)))
% 28.33/28.22 [8262]~P30(x82621,x82623,x82624,x82622)+P107(f328(f64(x82621),x82622))+~P107(f328(f64(x82623),f328(f311(x82621,x82623,x82624),x82622)))
% 28.33/28.22 [8281]~E(x82812,x82813)+P107(f328(f328(f330(f917(x82811,x82811)),f328(f328(f256(x82811,x82811),x82812),x82813)),f267(x82811,x82814)))+~P107(f328(f328(f330(x82811),x82812),x82814))
% 28.33/28.22 [8282]~E(x82822,x82823)+P107(f328(f328(f330(f917(x82821,x82821)),f328(f328(f256(x82821,x82821),x82822),x82823)),f267(x82821,x82824)))+~P107(f328(f328(f330(x82821),x82822),x82824))
% 28.33/28.22 [8316]~P76(x83161)+E(f328(f328(f83(x83161),f328(f328(f8(a911,x83161),x83162),f304(a911,x83163,x83164))),f328(x83162,f328(a116,x83164))),f328(f328(f8(a911,x83161),x83162),f304(a911,x83163,f328(a116,x83164))))+P107(f328(f328(f240(a911),f328(a116,x83164)),x83163))
% 28.33/28.22 [8375]~E(x83752,x83754)+P107(f328(f328(f330(f917(x83751,x83751)),f328(f328(f256(x83751,x83751),x83752),x83754)),f308(x83751,x83753)))+P107(f328(f328(f330(x83751),x83752),f328(f268(x83751,x83751),x83753)))
% 28.33/28.22 [8377]P107(f328(x83771,x83772))+~P107(f328(x83771,f328(f328(f166(x83773),x83774),f584(x83771,x83774,x83773))))+~P107(f328(f328(f330(x83773),x83772),f328(f174(x83773),x83774)))
% 28.33/28.22 [8516]~P107(f328(f328(f330(x85161),x85162),f317(x85161,x85164)))+P107(f328(f328(f330(f912(x85161)),f328(f328(f153(x85161),x85162),x85163)),f317(f912(x85161),f159(x85161,x85164))))+~P107(f328(f328(f330(f912(x85161)),x85163),f317(f912(x85161),f159(x85161,x85164))))
% 28.33/28.22 [8531]~P30(x85312,x85313,x85314,f679(x85314,x85313,x85312,x85311))+P30(x85312,x85313,x85314,f41(f918(x85312,a905),x85311))+E(x85311,f190(f918(f918(x85312,a905),a905)))
% 28.33/28.22 [8807]E(x88071,x88072)+~P107(f328(f328(f330(f917(x88073,x88073)),f328(f328(f256(x88073,x88073),x88071),x88072)),f308(x88073,x88074)))+P107(f328(f328(f330(x88073),x88071),f328(f268(x88073,x88073),x88074)))
% 28.33/28.22 [9075]E(x90751,f2(a911))+P107(f328(x90752,x90753))+P107(f328(f328(f330(x90754),f799(x90752,x90753,x90751,x90754)),f328(f174(x90754),f171(x90754,x90751,x90753))))
% 28.33/28.22 [9087]E(x90871,f2(a911))+~P107(f328(x90873,x90874))+P107(f328(f328(f330(x90872),f798(x90873,x90874,x90871,x90872)),f328(f174(x90872),f171(x90872,x90871,x90874))))
% 28.33/28.22 [9091]P30(x90912,x90913,x90914,f41(f918(x90912,a905),x90911))+E(x90911,f190(f918(f918(x90912,a905),a905)))+P107(f328(f328(f330(f918(x90912,a905)),f679(x90914,x90913,x90912,x90911)),x90911))
% 28.33/28.22 [9223]P107(f328(f64(x92231),x92232))+~P107(f328(f64(x92234),f328(f311(x92231,x92234,x92233),x92232)))+P107(f328(f328(f330(x92231),f685(x92233,x92234,x92232,x92231)),x92232))
% 28.33/28.22 [9325]~P10(x93252)+E(f328(f328(f67(x93251,x93252,f328(f328(f10(x93252,f918(x93252,x93252),x93251),f105(x93252)),x93253)),f190(x93252)),x93254),f328(f328(f42(x93251,x93252),x93254),x93253))+~P107(f328(f64(x93251),x93254))
% 28.33/28.22 [9326]~P10(x93262)+E(f328(f328(f67(x93261,x93262,f328(f328(f10(x93262,f918(x93262,x93262),x93261),f106(x93262)),x93263)),f246(x93262)),x93264),f328(f328(f43(x93261,x93262),x93264),x93263))+~P107(f328(f64(x93261),x93264))
% 28.33/28.22 [9402]P107(f328(x94021,x94022))+~P107(f328(x94021,f328(f328(f166(x94023),x94024),f646(x94022,x94021,x94024,x94023))))+~P107(f328(f328(f330(x94023),x94022),f328(f174(x94023),x94024)))
% 28.33/28.22 [9421]E(x94211,x94212)+~P107(f328(f328(f330(f917(x94213,x94213)),f328(f328(f256(x94213,x94213),x94211),x94212)),f308(x94213,x94214)))+P107(f328(f328(f330(f917(x94213,x94213)),f328(f328(f256(x94213,x94213),x94211),x94212)),f328(f328(f290(x94213,x94213,x94213),x94214),f308(x94213,x94214))))
% 28.33/28.22 [9422]E(x94221,x94222)+~P107(f328(f328(f330(f917(x94223,x94223)),f328(f328(f256(x94223,x94223),x94221),x94222)),f308(x94223,x94224)))+P107(f328(f328(f330(f917(x94223,x94223)),f328(f328(f256(x94223,x94223),x94221),x94222)),f328(f328(f290(x94223,x94223,x94223),x94224),f308(x94223,x94224))))
% 28.33/28.22 [9471]~E(f328(f191(f912(x94711)),x94712),f328(f191(f912(x94711)),x94713))+~P107(f328(f328(f330(f917(f912(x94711),f912(x94711))),f328(f328(f256(f912(x94711),f912(x94711)),x94712),x94713)),f149(x94711,x94714)))+P107(f328(f328(f330(f917(f912(x94711),f912(x94711))),f328(f328(f256(f912(x94711),f912(x94711)),x94712),x94713)),f147(x94711,x94714)))
% 28.33/28.22 [9493]E(x94931,x94932)+P107(f328(f328(f330(f917(x94933,x94933)),f328(f328(f256(x94933,x94933),x94931),x94932)),f308(x94933,x94934)))+~P107(f328(f328(f330(f917(x94933,x94933)),f328(f328(f256(x94933,x94933),x94931),x94932)),f328(f328(f290(x94933,x94933,x94933),x94934),f308(x94933,x94934))))
% 28.33/28.22 [9701]P37(x97011,f328(f328(f20(x97011,a905,a905),f328(f328(f10(a905,f918(a905,a905),x97011),a327),f328(f328(f10(a905,a905,x97011),a323),x97012))),f328(a325,x97013)),x97014)+~P107(f328(x97012,x97013))+~P41(x97011,x97012,f328(f328(f153(x97011),x97013),x97014))
% 28.33/28.22 [9863]~P37(x98631,f328(f328(f20(x98631,a905,a905),f328(f328(f10(a905,f918(a905,a905),x98631),a327),f328(f328(f10(a905,a905,x98631),a323),x98632))),f328(a325,x98633)),x98634)+~P107(f328(x98632,x98633))+P41(x98631,x98632,f328(f328(f153(x98631),x98633),x98634))
% 28.33/28.22 [9867]~P41(x98671,x98672,x98674)+~P37(x98671,f328(f328(f20(x98671,a905,a905),f328(f328(f10(a905,f918(a905,a905),x98671),a327),f328(f328(f10(a905,a905,x98671),a323),x98672))),f328(a325,x98673)),x98674)+P41(x98671,x98672,f328(f328(f153(x98671),x98673),x98674))
% 28.33/28.22 [9900]~P7(x99001)+E(f328(f328(f8(a911,x99001),f328(f328(f20(a911,x99001,x99001),f328(f328(f10(x99001,f918(x99001,x99001),a911),f3(x99001)),x99002)),f328(f328(f10(a911,x99001,a911),x99002),f328(f328(f9(a911,a911,a911),f83(a911)),f81(a911))))),f304(a911,x99003,x99004)),f2(x99001))+P107(f328(f328(f239(a911),x99003),x99004))
% 28.33/28.22 [10126]~P43(x101262,x101264)+~P30(x101262,x101261,x101263,f246(f918(x101262,a905)))+P43(x101261,f328(f311(f917(x101262,x101262),f917(x101261,x101261),f262(x101262,x101261,x101262,x101261,x101263,x101263)),x101264))
% 28.33/28.22 [10308]~E(f328(f191(f912(x103081)),x103083),f328(f191(f912(x103081)),x103082))+P107(f328(f328(f330(f917(f912(x103081),f912(x103081))),f328(f328(f256(f912(x103081),f912(x103081)),x103082),x103083)),f160(x103081,x103084)))+~P107(f328(f328(f261(x103081,x103081,a905),f328(f328(f9(x103081,f918(f917(x103081,x103081),a905),f918(x103081,a905)),f328(f328(f10(f918(x103081,f918(f918(f917(x103081,x103081),a905),a905)),f918(f918(f917(x103081,x103081),a905),f918(x103081,a905)),x103081),f9(x103081,f918(f917(x103081,x103081),a905),a905)),f328(f328(f10(f918(x103081,f917(x103081,x103081)),f918(x103081,f918(f918(f917(x103081,x103081),a905),a905)),x103081),f328(f10(f917(x103081,x103081),f918(f918(f917(x103081,x103081),a905),a905),x103081),f330(f917(x103081,x103081)))),f256(x103081,x103081)))),x103084)),f590(x103084,x103083,x103082,x103081)))
% 28.33/28.22 [6128]~E(x61284,x61282)+P107(f328(x61281,x61282))+P107(f328(f328(f196(f33(x61281,x61283)),x61282),x61284))
% 28.33/28.22 [6221]~P8(x62211)+~E(x62212,f2(x62211))+E(f328(f328(f39(x62211),f328(f328(f84(x62211),x62212),x62213)),f328(f328(f84(x62211),x62212),x62214)),f2(x62211))
% 28.33/28.22 [6263]E(x62631,f117(x62632))+E(x62633,f328(f328(f3(a911),f328(f191(f912(x62632)),x62631)),f81(a911)))+E(f146(x62632,f328(f328(f161(x62632,x62631),x62633),x62634)),f146(x62632,x62631))
% 28.33/28.22 [6295]E(x62951,x62952)+P107(f328(x62953,x62952))+~P107(f328(f328(f328(f310(x62954),x62951),x62953),x62952))
% 28.33/28.22 [6311]~P76(x63111)+~P107(f328(f139(x63112),x63114))+E(f328(f167(x63111),f328(f328(f156(x63112,x63111),x63113),x63114)),f328(f328(f8(x63112,x63111),x63113),f328(f174(x63112),x63114)))
% 28.33/28.22 [6326]~P78(x63262)+~P107(f328(f64(x63261),x63264))+E(f328(f328(f11(x63261,x63262),f328(f18(x63262,x63261),x63263)),x63264),f328(f328(f248(x63262),x63263),f328(f38(x63261),x63264)))
% 28.33/28.22 [6379]~P8(x63792)+E(x63791,f2(x63792))+E(f328(f328(f39(x63792),f328(f328(f84(x63792),x63793),x63791)),f328(f328(f84(x63792),x63794),x63791)),f328(f328(f39(x63792),x63793),x63794))
% 28.33/28.22 [6380]~P8(x63802)+E(x63801,f2(x63802))+E(f328(f328(f39(x63802),f328(f328(f84(x63802),x63801),x63803)),f328(f328(f84(x63802),x63801),x63804)),f328(f328(f39(x63802),x63803),x63804))
% 28.33/28.22 [6381]~P69(x63812)+E(x63811,f2(x63812))+E(f328(f328(f291(x63812),f328(f328(f84(x63812),x63813),x63811)),f328(f328(f84(x63812),x63814),x63811)),f328(f328(f291(x63812),x63813),x63814))
% 28.33/28.22 [6382]~P69(x63822)+E(x63821,f2(x63822))+E(f328(f328(f291(x63822),f328(f328(f84(x63822),x63821),x63823)),f328(f328(f84(x63822),x63821),x63824)),f328(f328(f291(x63822),x63823),x63824))
% 28.33/28.22 [6383]~P8(x63832)+E(x63831,f2(x63832))+E(f328(f328(f39(x63832),f328(f328(f84(x63832),x63831),x63833)),f328(f328(f84(x63832),x63831),x63834)),f328(f328(f39(x63832),x63833),x63834))
% 28.33/28.22 [6446]P107(f328(x64461,x64462))+~E(x64463,f328(f328(f83(a911),x64464),x64462))+~P107(f328(x64461,f328(f328(f3(a911),x64463),x64464)))
% 28.33/28.22 [6447]P107(f328(x64471,x64472))+~E(x64473,f328(f328(f83(a911),x64474),x64472))+~P107(f328(x64471,f328(f328(f3(a911),x64473),x64474)))
% 28.33/28.22 [6528]P34(x65281,x65282,x65283)+P33(x65281,f585(x65283,x65282,x65281),x65284)+~P107(f328(f328(f330(f910(x65281)),x65284),x65282))
% 28.33/28.22 [6531]~P107(f328(x65312,x65313))+~P107(f328(f162(x65311,x65312),x65314))+P107(f328(f162(x65311,x65312),f328(f328(f153(x65311),x65313),x65314)))
% 28.33/28.22 [6572]E(x65721,f117(x65722))+~E(x65723,f328(f328(f3(a911),f328(f191(f912(x65722)),x65721)),f81(a911)))+E(f146(x65722,f328(f328(f161(x65722,x65721),x65723),x65724)),x65724)
% 28.33/28.22 [6595]~P109(x65951)+~P107(f328(f328(f240(x65951),x65952),x65954))+P107(f328(f328(f240(x65951),x65952),f328(f328(f238(x65951),x65953),x65954)))
% 28.33/28.22 [6596]~P109(x65961)+~P107(f328(f328(f240(x65961),x65962),x65964))+P107(f328(f328(f240(x65961),x65962),f328(f328(f238(x65961),x65963),x65964)))
% 28.33/28.22 [6597]~P109(x65971)+~P107(f328(f328(f240(x65971),x65972),x65973))+P107(f328(f328(f240(x65971),x65972),f328(f328(f238(x65971),x65973),x65974)))
% 28.33/28.22 [6598]~P109(x65981)+~P107(f328(f328(f240(x65981),x65982),x65983))+P107(f328(f328(f240(x65981),x65982),f328(f328(f238(x65981),x65983),x65984)))
% 28.33/28.22 [6599]~P100(x65991)+~P107(f328(f328(f240(x65991),x65992),x65994))+P107(f328(f328(f240(x65991),x65992),f328(f328(f105(x65991),x65993),x65994)))
% 28.33/28.22 [6600]~P100(x66001)+~P107(f328(f328(f240(x66001),x66002),x66003))+P107(f328(f328(f240(x66001),x66002),f328(f328(f105(x66001),x66003),x66004)))
% 28.33/28.22 [6601]~P109(x66011)+~P107(f328(f328(f239(x66011),x66012),x66014))+P107(f328(f328(f239(x66011),x66012),f328(f328(f238(x66011),x66013),x66014)))
% 28.33/28.22 [6602]~P109(x66021)+~P107(f328(f328(f239(x66021),x66022),x66024))+P107(f328(f328(f239(x66021),x66022),f328(f328(f238(x66021),x66023),x66024)))
% 28.33/28.22 [6603]~P109(x66031)+~P107(f328(f328(f239(x66031),x66032),x66033))+P107(f328(f328(f239(x66031),x66032),f328(f328(f238(x66031),x66033),x66034)))
% 28.33/28.22 [6604]~P109(x66041)+~P107(f328(f328(f239(x66041),x66042),x66043))+P107(f328(f328(f239(x66041),x66042),f328(f328(f238(x66041),x66043),x66044)))
% 28.33/28.22 [6605]~P100(x66051)+~P107(f328(f328(f239(x66051),x66052),x66054))+P107(f328(f328(f239(x66051),x66052),f328(f328(f105(x66051),x66053),x66054)))
% 28.33/28.22 [6606]~P100(x66061)+~P107(f328(f328(f239(x66061),x66062),x66063))+P107(f328(f328(f239(x66061),x66062),f328(f328(f105(x66061),x66063),x66064)))
% 28.33/28.22 [6694]~E(f328(f328(f166(x66941),x66942),x66943),x66944)+E(f328(f328(f161(x66941,x66942),x66943),x66944),x66942)+~P107(f328(f328(f240(a911),x66943),f328(f191(f912(x66941)),x66942)))
% 28.33/28.22 [6713]E(x67131,x67132)+P107(f328(x67133,x67131))+~P107(f328(f328(f196(f33(x67133,x67134)),x67131),x67132))
% 28.33/28.22 [6735]P107(f328(x67351,x67352))+~P107(f328(x67353,x67352))+~P107(f328(f328(f239(f918(x67354,a905)),x67353),x67351))
% 28.33/28.22 [6736]P107(f328(x67361,x67362))+~P107(f328(x67363,x67362))+~P107(f328(f328(f239(f918(x67364,a905)),x67363),x67361))
% 28.33/28.22 [6768]~E(f328(f328(f161(x67681,x67682),x67683),x67684),x67682)+E(f328(f328(f166(x67681),x67682),x67683),x67684)+~P107(f328(f328(f240(a911),x67683),f328(f191(f912(x67681)),x67682)))
% 28.33/28.22 [6782]~P107(f328(f162(x67821,x67822),x67824))+~P107(f328(f162(x67821,x67822),x67823))+P107(f328(f162(x67821,x67822),f328(f328(f136(x67821),x67823),x67824)))
% 28.33/28.22 [6876]P33(x68761,x68762,x68763)+~P33(x68761,f328(a116,x68762),f591(x68762,x68764,x68761))+~P107(f328(f328(f330(f910(x68761)),x68763),x68764))
% 28.33/28.22 [6883]E(x68831,f190(f918(x68832,a905)))+E(x68833,f190(f918(x68834,a905)))+~E(f328(f328(f258(x68834,x68832),x68833),f328(f18(f918(x68832,a905),x68834),x68831)),f190(f918(f917(x68834,x68832),a905)))
% 28.33/28.22 [6902]E(x69021,x69022)+P107(f328(f328(f330(x69023),x69021),x69024))+~P107(f328(f328(f330(x69023),x69021),f328(f328(f310(x69023),x69022),x69024)))
% 28.33/28.22 [6903]E(x69031,x69032)+P107(f328(f328(f330(x69033),x69031),x69034))+~P107(f328(f328(f330(x69033),x69031),f328(f328(f310(x69033),x69032),x69034)))
% 28.33/28.22 [6919]~P109(x69191)+P107(f328(f328(f240(x69191),x69192),x69193))+~P107(f328(f328(f240(x69191),x69192),f328(f328(f243(x69191),x69194),x69193)))
% 28.33/28.22 [6920]~P109(x69201)+P107(f328(f328(f240(x69201),x69202),x69203))+~P107(f328(f328(f240(x69201),x69202),f328(f328(f243(x69201),x69203),x69204)))
% 28.33/28.22 [6921]~P109(x69211)+P107(f328(f328(f239(x69211),x69212),x69213))+~P107(f328(f328(f239(x69211),x69212),f328(f328(f243(x69211),x69214),x69213)))
% 28.33/28.22 [6922]~P109(x69221)+P107(f328(f328(f239(x69221),x69222),x69223))+~P107(f328(f328(f239(x69221),x69222),f328(f328(f243(x69221),x69224),x69223)))
% 28.33/28.22 [6923]~P109(x69231)+P107(f328(f328(f239(x69231),x69232),x69233))+~P107(f328(f328(f239(x69231),x69232),f328(f328(f243(x69231),x69233),x69234)))
% 28.33/28.22 [6924]~P109(x69241)+P107(f328(f328(f239(x69241),x69242),x69243))+~P107(f328(f328(f239(x69241),x69242),f328(f328(f243(x69241),x69243),x69244)))
% 28.33/28.22 [6925]~P104(x69251)+P107(f328(f328(f239(x69251),x69252),x69253))+~P107(f328(f328(f239(x69251),x69252),f328(f328(f106(x69251),x69254),x69253)))
% 28.33/28.22 [6926]~P104(x69261)+P107(f328(f328(f239(x69261),x69262),x69263))+~P107(f328(f328(f239(x69261),x69262),f328(f328(f106(x69261),x69264),x69263)))
% 28.33/28.22 [6927]~P104(x69271)+P107(f328(f328(f239(x69271),x69272),x69273))+~P107(f328(f328(f239(x69271),x69272),f328(f328(f106(x69271),x69273),x69274)))
% 28.33/28.22 [6928]~P104(x69281)+P107(f328(f328(f239(x69281),x69282),x69283))+~P107(f328(f328(f239(x69281),x69282),f328(f328(f106(x69281),x69283),x69284)))
% 28.33/28.22 [6950]~E(f328(f328(f166(x69501),x69503),x69504),x69502)+P107(f328(f328(f330(x69501),x69502),f328(f174(x69501),x69503)))+~P107(f328(f328(f240(a911),x69504),f328(f191(f912(x69501)),x69503)))
% 28.33/28.22 [6960]~P109(x69601)+~P18(x69601,f328(f328(f153(x69601),x69602),f328(f328(f153(x69601),x69603),x69604)))+P107(f328(f328(f239(x69601),x69602),x69603))
% 28.33/28.22 [7010]~P109(x70101)+P18(x70101,f328(f328(f153(x70101),x70102),x70103))+~P18(x70101,f328(f328(f153(x70101),x70104),f328(f328(f153(x70101),x70102),x70103)))
% 28.33/28.22 [7102]~P37(x71022,x71021,x71023)+P107(f328(x71021,f328(f328(f166(x71022),x71023),x71024)))+~P107(f328(f328(f240(a911),x71024),f328(f191(f912(x71022)),x71023)))
% 28.33/28.22 [7120]E(x71201,f2(a1))+E(f328(f328(f39(a1),x71202),x71201),x71203)+~P107(f328(f52(x71202,x71201),f328(f328(f256(a1,a1),x71203),x71204)))
% 28.33/28.22 [7141]E(f48(a1,x71412,x71411),x71413)+E(x71411,f2(a1))+~P107(f328(f52(x71412,x71411),f328(f328(f256(a1,a1),x71414),x71413)))
% 28.33/28.22 [7255]P107(f328(f328(f330(x72551),x72552),x72553))+~P107(f328(f328(f330(x72551),x72552),x72554))+~P107(f328(f328(f240(f918(x72551,a905)),x72554),x72553))
% 28.33/28.22 [7256]P107(f328(f328(f330(x72561),x72562),x72563))+~P107(f328(f328(f330(x72561),x72562),x72564))+~P107(f328(f328(f239(f918(x72561,a905)),x72564),x72563))
% 28.33/28.22 [7257]P107(f328(f328(f330(x72571),x72572),x72573))+~P107(f328(f328(f330(x72571),x72572),x72574))+~P107(f328(f328(f239(f918(x72571,a905)),x72574),x72573))
% 28.33/28.22 [7258]P107(f328(f328(f330(x72581),x72582),x72583))+~P107(f328(f328(f330(x72581),x72582),x72584))+~P107(f328(f328(f239(f918(x72581,a905)),x72584),x72583))
% 28.33/28.22 [7259]P107(f328(f328(f330(x72591),x72592),x72593))+~P107(f328(f328(f330(x72591),x72592),x72594))+~P107(f328(f328(f239(f918(x72591,a905)),x72594),x72593))
% 28.33/28.22 [7371]P39(x73711,x73712,x73713)+~P107(f328(x73712,f328(f328(f166(x73711),x73713),x73714)))+~P107(f328(f328(f240(a911),x73714),f328(f191(f912(x73711)),x73713)))
% 28.33/28.22 [7492]~P112(x74922)+~P107(f328(f328(f240(f918(x74921,x74922)),x74923),x74924))+P107(f328(f328(f239(f918(x74921,x74922)),x74923),x74924))
% 28.33/28.22 [7579]~P29(x75791,x75792,x75794)+P29(x75791,x75792,f328(f328(f310(f910(x75791)),x75793),x75794))+~P29(x75791,x75792,f328(f328(f310(f910(x75791)),x75793),f190(f918(f910(x75791),a905))))
% 28.33/28.22 [7622]~P107(f328(f328(f330(x76221),x76222),x76224))+P107(f328(f328(f330(x76221),x76222),f40(f918(x76221,a905),x76223)))+~P107(f328(f328(f330(f918(x76221,a905)),x76224),x76223))
% 28.33/28.22 [7632]P33(x76321,x76322,x76323)+P107(f328(f328(f330(f910(x76321)),f591(x76322,x76324,x76321)),x76324))+~P107(f328(f328(f330(f910(x76321)),x76323),x76324))
% 28.33/28.22 [7651]~P3(x76511)+~P107(f328(f328(f240(x76511),x76513),x76514))+P107(f328(f328(f240(x76511),f328(f328(f83(x76511),x76512),x76513)),f328(f328(f83(x76511),x76512),x76514)))
% 28.33/28.22 [7652]~P87(x76521)+~P107(f328(f328(f240(x76521),x76523),x76524))+P107(f328(f328(f240(x76521),f328(f328(f83(x76521),x76522),x76523)),f328(f328(f83(x76521),x76522),x76524)))
% 28.33/28.22 [7653]~P3(x76531)+~P107(f328(f328(f240(x76531),x76532),x76534))+P107(f328(f328(f240(x76531),f328(f328(f83(x76531),x76532),x76533)),f328(f328(f83(x76531),x76534),x76533)))
% 28.33/28.22 [7654]~P87(x76541)+~P107(f328(f328(f240(x76541),x76542),x76544))+P107(f328(f328(f240(x76541),f328(f328(f83(x76541),x76542),x76543)),f328(f328(f83(x76541),x76544),x76543)))
% 28.33/28.22 [7655]~P3(x76551)+~P107(f328(f328(f239(x76551),x76553),x76554))+P107(f328(f328(f239(x76551),f328(f328(f83(x76551),x76552),x76553)),f328(f328(f83(x76551),x76552),x76554)))
% 28.33/28.22 [7656]~P85(x76561)+~P107(f328(f328(f239(x76561),x76563),x76564))+P107(f328(f328(f239(x76561),f328(f328(f83(x76561),x76562),x76563)),f328(f328(f83(x76561),x76562),x76564)))
% 28.33/28.22 [7657]~P3(x76571)+~P107(f328(f328(f239(x76571),x76572),x76574))+P107(f328(f328(f239(x76571),f328(f328(f83(x76571),x76572),x76573)),f328(f328(f83(x76571),x76574),x76573)))
% 28.33/28.22 [7658]~P85(x76581)+~P107(f328(f328(f239(x76581),x76582),x76584))+P107(f328(f328(f239(x76581),f328(f328(f83(x76581),x76582),x76583)),f328(f328(f83(x76581),x76584),x76583)))
% 28.33/28.22 [7665]~P143(x76651)+~P95(x76651)+E(f328(f328(f83(x76651),f328(f328(f84(x76651),x76652),f328(f108(x76651),x76653))),f328(f328(f84(x76651),x76654),f328(f108(x76651),x76653))),f328(f328(f84(x76651),f328(f328(f83(x76651),x76652),x76654)),f328(f108(x76651),x76653)))
% 28.33/28.22 [7666]~P128(x76661)+~P95(x76661)+E(f328(f328(f3(x76661),f328(f328(f84(x76661),x76662),f328(f108(x76661),x76663))),f328(f328(f84(x76661),x76664),f328(f108(x76661),x76663))),f328(f328(f84(x76661),f328(f328(f3(x76661),x76662),x76664)),f328(f108(x76661),x76663)))
% 28.33/28.22 [7702]~P76(x77021)+E(f328(f328(f83(x77021),f328(x77022,x77023)),f328(f328(f8(a911,x77021),x77022),f304(a911,f328(a116,x77023),x77024))),f328(f328(f8(a911,x77021),x77022),f304(a911,x77023,x77024)))+~P107(f328(f328(f239(a911),x77023),x77024))
% 28.33/28.22 [7714]~P30(x77142,x77141,x77143,f328(f174(x77142),x77144))+~P107(f328(f139(x77142),x77144))+P107(f328(f139(x77141),f328(f328(f156(x77142,x77141),x77143),x77144)))
% 28.33/28.22 [7761]~P107(f328(f328(f240(a911),x77612),x77614))+~P107(f328(f328(f240(a911),x77611),x77613))+P107(f328(f328(f240(a911),f328(f328(f83(a911),x77611),x77612)),f328(f328(f83(a911),x77613),x77614)))
% 28.33/28.22 [7764]~P107(f328(f328(f240(a1),x77641),x77643))+~P107(f328(f328(f239(a1),x77642),x77644))+P107(f328(f328(f240(a1),f328(f328(f83(a1),x77641),x77642)),f328(f328(f83(a1),x77643),x77644)))
% 28.33/28.22 [7765]~P107(f328(f328(f239(a911),x77652),x77654))+~P107(f328(f328(f239(a911),x77651),x77653))+P107(f328(f328(f239(a911),f328(f328(f83(a911),x77651),x77652)),f328(f328(f83(a911),x77653),x77654)))
% 28.33/28.22 [7766]~P107(f328(f328(f239(a911),x77662),x77664))+~P107(f328(f328(f239(a911),x77661),x77663))+P107(f328(f328(f239(a911),f328(f328(f84(a911),x77661),x77662)),f328(f328(f84(a911),x77663),x77664)))
% 28.33/28.22 [7813]P107(f328(f328(f330(x78131),x78132),x78133))+~P107(f328(f328(f330(x78131),x78132),f41(f918(x78131,a905),x78134)))+~P107(f328(f328(f330(f918(x78131,a905)),x78133),x78134))
% 28.33/28.22 [7814]P107(f328(f328(f330(x78141),x78142),x78143))+~P107(f328(f328(f330(x78141),x78142),f41(f918(x78141,a905),x78144)))+~P107(f328(f328(f330(f918(x78141,a905)),x78143),x78144))
% 28.33/28.22 [7830]~P107(f328(x78301,f581(x78301,x78303,x78302)))+P107(f328(x78301,f328(f328(f166(x78302),x78303),x78304)))+~P107(f328(f328(f240(a911),x78304),f328(f191(f912(x78302)),x78303)))
% 28.33/28.22 [7835]P107(f328(x78351,x78352))+~P107(f328(f328(f330(x78354),x78352),f328(f174(x78354),x78353)))+P107(f328(f328(f240(a911),f584(x78351,x78353,x78354)),f328(f191(f912(x78354)),x78353)))
% 28.33/28.22 [7852]~P107(f328(f328(f196(x78522),x78523),x78524))+~P107(f328(f328(f196(f33(x78521,x78522)),x78524),x78523))+P107(f328(f328(f196(f33(x78521,x78522)),x78523),x78523))
% 28.33/28.22 [7883]~P112(x78831)+~P107(f328(f328(f239(f918(x78832,x78831)),x78834),x78833))+~P107(f328(f328(f240(f918(x78832,x78831)),x78833),x78834))
% 28.33/28.22 [7928]~P107(f328(x79284,x79282))+~P107(f328(f328(f330(x79281),x79282),x79283))+P107(f328(f328(f330(x79281),x79282),f328(f328(f106(f918(x79281,a905)),x79283),f328(f266(x79281),x79284))))
% 28.33/28.22 [7947]P107(f328(f328(f330(x79471),x79472),x79473))+~P107(f328(f328(f239(f918(x79471,a905)),x79473),x79474))+P107(f328(f328(f239(f918(x79471,a905)),x79473),f328(f328(f310(x79471),x79472),x79474)))
% 28.33/28.22 [7948]P107(f328(f328(f330(x79481),x79482),x79483))+~P107(f328(f328(f239(f918(x79481,a905)),x79483),x79484))+P107(f328(f328(f239(f918(x79481,a905)),x79483),f328(f328(f310(x79481),x79482),x79484)))
% 28.33/28.22 [8077]~P107(f328(f328(f330(x80771),x80773),x80774))+~P107(f328(f328(f240(f918(x80771,a905)),x80772),x80774))+P107(f328(f328(f240(f918(x80771,a905)),x80772),f328(f328(f310(x80771),x80773),x80774)))
% 28.33/28.22 [8079]E(f328(f328(f106(f918(x80791,a905)),x80792),x80793),f190(f918(x80791,a905)))+~E(f328(f328(f106(f918(x80791,a905)),f40(f918(x80791,a905),x80794)),x80793),f190(f918(x80791,a905)))+~P107(f328(f328(f330(f918(x80791,a905)),x80792),x80794))
% 28.33/28.22 [8156]P107(f328(f328(f330(x81561),x81562),x81563))+~P107(f328(f328(f239(f918(x81561,a905)),x81563),f328(f328(f310(x81561),x81562),x81564)))+P107(f328(f328(f239(f918(x81561,a905)),x81563),x81564))
% 28.33/28.22 [8157]P107(f328(f328(f330(x81571),x81572),x81573))+~P107(f328(f328(f239(f918(x81571,a905)),x81573),f328(f328(f310(x81571),x81572),x81574)))+P107(f328(f328(f239(f918(x81571,a905)),x81573),x81574))
% 28.33/28.22 [8179]P107(f328(f328(f330(x81792),f581(x81791,x81793,x81792)),f328(f174(x81792),x81793)))+P107(f328(x81791,f328(f328(f166(x81792),x81793),x81794)))+~P107(f328(f328(f240(a911),x81794),f328(f191(f912(x81792)),x81793)))
% 28.33/28.22 [8187]~P107(f328(f328(f240(f918(x81871,a905)),x81872),x81874))+P107(f328(f328(f240(f918(x81871,a905)),x81872),x81873))+~P107(f328(f328(f240(f918(x81871,a905)),x81874),x81873))
% 28.33/28.22 [8188]~P107(f328(f328(f239(f918(x81881,a905)),x81882),x81884))+P107(f328(f328(f240(f918(x81881,a905)),x81882),x81883))+~P107(f328(f328(f240(f918(x81881,a905)),x81884),x81883))
% 28.33/28.22 [8189]~P107(f328(f328(f239(f918(x81891,a905)),x81894),x81893))+~P107(f328(f328(f240(f918(x81891,a905)),x81892),x81894))+P107(f328(f328(f240(f918(x81891,a905)),x81892),x81893))
% 28.33/28.22 [8190]~P107(f328(f328(f239(f918(x81901,a905)),x81902),x81904))+P107(f328(f328(f239(f918(x81901,a905)),x81902),x81903))+~P107(f328(f328(f239(f918(x81901,a905)),x81904),x81903))
% 28.33/28.22 [8235]~P107(f328(f328(f330(x82351),x82354),x82353))+~P107(f328(f328(f240(f918(x82351,a905)),x82352),f328(f328(f310(x82351),x82354),x82353)))+P107(f328(f328(f240(f918(x82351,a905)),x82352),x82353))
% 28.33/28.22 [8247]~P3(x82471)+P107(f328(f328(f240(x82471),x82472),x82473))+~P107(f328(f328(f240(x82471),f328(f328(f83(x82471),x82474),x82472)),f328(f328(f83(x82471),x82474),x82473)))
% 28.33/28.22 [8248]~P3(x82481)+P107(f328(f328(f240(x82481),x82482),x82483))+~P107(f328(f328(f240(x82481),f328(f328(f83(x82481),x82484),x82482)),f328(f328(f83(x82481),x82484),x82483)))
% 28.33/28.22 [8249]~P3(x82491)+P107(f328(f328(f240(x82491),x82492),x82493))+~P107(f328(f328(f240(x82491),f328(f328(f83(x82491),x82492),x82494)),f328(f328(f83(x82491),x82493),x82494)))
% 28.33/28.22 [8250]~P3(x82501)+P107(f328(f328(f240(x82501),x82502),x82503))+~P107(f328(f328(f240(x82501),f328(f328(f83(x82501),x82502),x82504)),f328(f328(f83(x82501),x82503),x82504)))
% 28.33/28.22 [8251]~P3(x82511)+P107(f328(f328(f239(x82511),x82512),x82513))+~P107(f328(f328(f239(x82511),f328(f328(f83(x82511),x82514),x82512)),f328(f328(f83(x82511),x82514),x82513)))
% 28.33/28.22 [8252]~P3(x82521)+P107(f328(f328(f239(x82521),x82522),x82523))+~P107(f328(f328(f239(x82521),f328(f328(f83(x82521),x82524),x82522)),f328(f328(f83(x82521),x82524),x82523)))
% 28.33/28.22 [8253]~P3(x82531)+P107(f328(f328(f239(x82531),x82532),x82533))+~P107(f328(f328(f239(x82531),f328(f328(f83(x82531),x82532),x82534)),f328(f328(f83(x82531),x82533),x82534)))
% 28.33/28.22 [8254]~P3(x82541)+P107(f328(f328(f239(x82541),x82542),x82543))+~P107(f328(f328(f239(x82541),f328(f328(f83(x82541),x82542),x82544)),f328(f328(f83(x82541),x82543),x82544)))
% 28.33/28.22 [8299]P107(f328(x82991,x82992))+~E(f328(f328(f140(x82993),f328(f191(f912(x82993)),f179(x82993,x82991,x82994))),x82994),f117(x82993))+~P107(f328(f328(f330(x82993),x82992),f328(f174(x82993),x82994)))
% 28.33/28.22 [8419]P107(f328(x84191,x84192))+~P107(f328(f328(f330(x84193),x84192),f328(f174(x84193),x84194)))+P107(f328(f328(f240(a911),f328(f191(f912(x84193)),f328(f138(x84193,x84191),x84194))),f328(f191(f912(x84193)),x84194)))
% 28.33/28.22 [8548]E(x85481,x85482)+P107(f328(f328(f196(x85483),x85481),f623(x85482,x85481,x85483,x85484)))+~P107(f328(f328(f196(f33(x85484,x85483)),x85481),x85482))
% 28.33/28.22 [8577]~P107(f328(x85774,x85772))+P107(f328(f328(f196(x85771),x85772),f623(x85773,x85772,x85771,x85774)))+~P107(f328(f328(f196(f33(x85774,x85771)),x85772),x85773))
% 28.33/28.22 [8905]~P107(f328(x89051,f743(x89051,x89053,x89052,x89054)))+P107(f328(x89051,f328(f328(f166(x89052),x89053),x89054)))+~P107(f328(f328(f240(a911),x89054),f328(f191(f912(x89052)),x89053)))
% 28.33/28.22 [8929]~P30(x89294,x89293,x89291,f246(f918(x89294,a905)))+E(f328(x89291,f490(x89292,x89291,x89293,x89294)),x89292)+~P107(f328(f328(f330(x89293),x89292),f328(f311(x89294,x89293,x89291),f246(f918(x89294,a905)))))
% 28.33/28.22 [8994]E(f179(x89941,x89942,x89943),f328(f328(f177(x89941),x89944),x89943))+P107(f328(f328(f240(a911),f669(x89942,x89943,x89941,x89944)),x89944))+P107(f328(f328(f240(a911),x89944),f328(f191(f912(x89941)),x89943)))
% 28.33/28.22 [8997]E(f179(x89971,x89972,x89973),f328(f328(f177(x89971),x89974),x89973))+P107(f328(f328(f240(a911),f669(x89972,x89973,x89971,x89974)),x89974))+P107(f328(x89972,f328(f328(f166(x89971),x89973),x89974)))
% 28.33/28.22 [9032]P107(f328(x90321,x90322))+~P107(f328(f328(f330(x90324),x90322),f328(f174(x90324),x90323)))+P107(f328(f328(f240(a911),f646(x90322,x90321,x90323,x90324)),f328(f191(f912(x90324)),x90323)))
% 28.33/28.22 [9035]E(f179(x90351,x90352,x90353),f328(f328(f177(x90351),x90354),x90353))+P107(f328(f328(f240(a911),x90354),f328(f191(f912(x90351)),x90353)))+P107(f328(f328(f240(a911),f669(x90352,x90353,x90351,x90354)),f328(f191(f912(x90351)),x90353)))
% 28.33/28.22 [9042]E(f179(x90421,x90422,x90423),f328(f328(f177(x90421),x90424),x90423))+P107(f328(x90422,f328(f328(f166(x90421),x90423),x90424)))+P107(f328(f328(f240(a911),f669(x90422,x90423,x90421,x90424)),f328(f191(f912(x90421)),x90423)))
% 28.33/28.22 [9069]~P125(x90694)+P107(f328(f328(f330(x90691),f786(x90692,x90693,x90691,x90694)),x90693))+P107(f328(f328(f240(x90694),f2(x90694)),f328(f328(f11(x90691,x90694),x90692),x90693)))
% 28.33/28.22 [9070]~P125(x90704)+P107(f328(f328(f330(x90701),f796(x90702,x90703,x90701,x90704)),x90703))+P107(f328(f328(f239(x90704),f2(x90704)),f328(f328(f11(x90701,x90704),x90702),x90703)))
% 28.33/28.22 [9093]~P107(f328(f64(x90931),x90934))+P107(f328(f328(f330(x90931),f530(x90932,x90933,x90934,x90931)),x90934))+P107(f328(f64(f917(x90931,x90933)),f328(f328(f258(x90931,x90933),x90934),x90932)))
% 28.33/28.22 [9124]P107(f328(f328(f330(x91242),f743(x91241,x91243,x91242,x91244)),f328(f174(x91242),x91243)))+P107(f328(x91241,f328(f328(f166(x91242),x91243),x91244)))+~P107(f328(f328(f240(a911),x91244),f328(f191(f912(x91242)),x91243)))
% 28.33/28.22 [9139]E(x91391,x91392)+P107(f328(f328(f196(f33(x91393,x91394)),f623(x91391,x91392,x91394,x91393)),x91391))+~P107(f328(f328(f196(f33(x91393,x91394)),x91392),x91391))
% 28.33/28.22 [9159]~P107(f328(x91591,x91594))+P107(f328(f328(f196(f33(x91591,x91592)),f623(x91593,x91594,x91592,x91591)),x91593))+~P107(f328(f328(f196(f33(x91591,x91592)),x91594),x91593))
% 28.33/28.22 [9254]P107(f328(f328(f239(a911),x92544),f328(f191(f912(x92542)),f179(x92542,x92543,x92541))))+P107(f328(f328(f240(a911),f670(x92541,x92542,x92543,x92544)),x92544))+~P107(f328(f328(f239(a911),x92544),f328(f191(f912(x92542)),x92541)))
% 28.33/28.22 [9406]E(f179(x94061,x94062,x94063),f328(f328(f177(x94061),x94064),x94063))+~P107(f328(x94062,f328(f328(f166(x94061),x94063),f669(x94062,x94063,x94061,x94064))))+P107(f328(f328(f240(a911),x94064),f328(f191(f912(x94061)),x94063)))
% 28.33/28.22 [9412]E(f179(x94121,x94122,x94123),f328(f328(f177(x94121),x94124),x94123))+~P107(f328(x94122,f328(f328(f166(x94121),x94123),f669(x94122,x94123,x94121,x94124))))+P107(f328(x94122,f328(f328(f166(x94121),x94123),x94124)))
% 28.33/28.22 [9416]~P107(f328(f64(x94161),x94163))+~P107(f328(f64(x94162),f328(x94164,f530(x94164,x94162,x94163,x94161))))+P107(f328(f64(f917(x94161,x94162)),f328(f328(f258(x94161,x94162),x94163),x94164)))
% 28.33/28.22 [9424]~P125(x94241)+~P107(f328(f328(f240(x94241),f2(x94241)),f328(x94243,f786(x94243,x94244,x94242,x94241))))+P107(f328(f328(f240(x94241),f2(x94241)),f328(f328(f11(x94242,x94241),x94243),x94244)))
% 28.33/28.22 [9425]~P125(x94251)+~P107(f328(f328(f239(x94251),f2(x94251)),f328(x94253,f796(x94253,x94254,x94252,x94251))))+P107(f328(f328(f239(x94251),f2(x94251)),f328(f328(f11(x94252,x94251),x94253),x94254)))
% 28.33/28.22 [9433]~E(f328(f191(f912(x94334)),x94332),f328(f191(f912(x94334)),x94333))+P107(f328(f328(f330(f917(f912(x94334),f912(x94334))),f328(f328(f256(f912(x94334),f912(x94334)),x94333),x94332)),f160(x94334,x94331)))+P107(f328(f328(f240(a911),f577(x94331,x94332,x94333,x94334)),f328(f191(f912(x94334)),x94333)))
% 28.33/28.22 [9484]~P107(f328(x94843,f328(f328(f166(x94842),x94844),f670(x94844,x94842,x94843,x94841))))+P107(f328(f328(f239(a911),x94841),f328(f191(f912(x94842)),f179(x94842,x94843,x94844))))+~P107(f328(f328(f239(a911),x94841),f328(f191(f912(x94842)),x94844)))
% 28.33/28.22 [9562]E(f328(f328(f177(x95621),f582(x95622,x95623,x95624,x95621)),x95623),f328(f328(f177(x95621),f582(x95622,x95623,x95624,x95621)),x95624))+~P107(f328(f328(f330(f917(f912(x95621),f912(x95621))),f328(f328(f256(f912(x95621),f912(x95621)),x95624),x95623)),f149(x95621,x95622)))+P107(f328(f328(f240(a911),f328(f191(f912(x95621)),x95624)),f328(f191(f912(x95621)),x95623)))
% 28.33/28.22 [9618]~P107(f328(f328(f240(a911),f2(a911)),x96183))+~P107(f328(f328(f240(a911),x96184),x96181))+P107(f328(f328(f240(a911),f328(f328(f83(a911),f328(f328(f84(a911),x96181),f48(a911,x96182,x96183))),x96184)),f328(f328(f84(a911),x96181),x96183)))
% 28.33/28.22 [9805]~P112(x98052)+~P107(f328(f328(f239(x98052),f328(x98053,f665(x98054,x98053,x98051,x98052))),f328(x98054,f665(x98054,x98053,x98051,x98052))))+P107(f328(f328(f239(f918(x98051,x98052)),x98053),x98054))
% 28.33/28.22 [9904]~P7(x99041)+E(f328(f328(f8(a911,x99041),f328(f328(f20(a911,x99041,x99041),f328(f328(f10(x99041,f918(x99041,x99041),a911),f3(x99041)),x99042)),f328(f328(f10(a911,x99041,a911),x99042),f328(f328(f9(a911,a911,a911),f83(a911)),f81(a911))))),f304(a911,x99043,x99044)),f328(f328(f3(x99041),f328(x99042,x99043)),f328(x99042,f328(f328(f83(a911),x99044),f81(a911)))))+~P107(f328(f328(f239(a911),x99043),x99044))
% 28.33/28.22 [6954]E(f328(f328(f136(x69541),x69542),x69543),x69544)+~E(x69543,f328(f328(f140(x69541),f328(f191(f912(x69541)),x69542)),x69544))+~E(f328(f328(f177(x69541),f328(f191(f912(x69541)),x69542)),x69544),x69542)
% 28.33/28.22 [7007]~P70(x70072)+E(x70071,f2(x70072))+E(f328(f328(f291(x70072),f328(f328(f248(x70072),x70073),x70074)),f328(f328(f248(x70072),x70071),x70074)),f328(f328(f248(x70072),f328(f328(f291(x70072),x70073),x70071)),x70074))
% 28.33/28.22 [7156]~P109(x71561)+~P107(f328(f328(f240(x71561),x71563),x71564))+P107(f328(f328(f240(x71561),f328(f328(f243(x71561),x71562),x71563)),x71564))
% 28.33/28.22 [7157]~P109(x71571)+~P107(f328(f328(f240(x71571),x71573),x71574))+P107(f328(f328(f240(x71571),f328(f328(f243(x71571),x71572),x71573)),x71574))
% 28.33/28.22 [7158]~P109(x71581)+~P107(f328(f328(f240(x71581),x71582),x71584))+P107(f328(f328(f240(x71581),f328(f328(f243(x71581),x71582),x71583)),x71584))
% 28.33/28.22 [7159]~P109(x71591)+~P107(f328(f328(f240(x71591),x71592),x71594))+P107(f328(f328(f240(x71591),f328(f328(f243(x71591),x71592),x71593)),x71594))
% 28.33/28.22 [7160]~P104(x71601)+~P107(f328(f328(f240(x71601),x71603),x71604))+P107(f328(f328(f240(x71601),f328(f328(f106(x71601),x71602),x71603)),x71604))
% 28.33/28.22 [7161]~P104(x71611)+~P107(f328(f328(f240(x71611),x71612),x71614))+P107(f328(f328(f240(x71611),f328(f328(f106(x71611),x71612),x71613)),x71614))
% 28.33/28.22 [7162]~P109(x71621)+~P107(f328(f328(f239(x71621),x71623),x71624))+P107(f328(f328(f239(x71621),f328(f328(f243(x71621),x71622),x71623)),x71624))
% 28.33/28.22 [7163]~P109(x71631)+~P107(f328(f328(f239(x71631),x71633),x71634))+P107(f328(f328(f239(x71631),f328(f328(f243(x71631),x71632),x71633)),x71634))
% 28.33/28.22 [7164]~P109(x71641)+~P107(f328(f328(f239(x71641),x71642),x71644))+P107(f328(f328(f239(x71641),f328(f328(f243(x71641),x71642),x71643)),x71644))
% 28.33/28.22 [7165]~P109(x71651)+~P107(f328(f328(f239(x71651),x71652),x71654))+P107(f328(f328(f239(x71651),f328(f328(f243(x71651),x71652),x71653)),x71654))
% 28.33/28.22 [7166]~P104(x71661)+~P107(f328(f328(f239(x71661),x71663),x71664))+P107(f328(f328(f239(x71661),f328(f328(f106(x71661),x71662),x71663)),x71664))
% 28.33/28.22 [7167]~P104(x71671)+~P107(f328(f328(f239(x71671),x71672),x71674))+P107(f328(f328(f239(x71671),f328(f328(f106(x71671),x71672),x71673)),x71674))
% 28.33/28.22 [7190]~P107(f328(x71903,x71904))+~P107(f328(x71902,x71904))+P107(f328(f328(f328(f106(f918(x71901,a905)),x71902),x71903),x71904))
% 28.33/28.22 [7313]P29(x73131,x73132,x73133)+~P29(x73131,x73134,x73133)+~P107(f328(f328(f239(f918(f910(x73131),a905)),x73134),x73132))
% 28.33/28.22 [7314]P29(x73141,x73142,x73143)+~P29(x73141,x73142,x73144)+~P107(f328(f328(f239(f918(f910(x73141),a905)),x73143),x73144))
% 28.33/28.22 [7692]~P76(x76921)+E(f328(f328(f83(x76921),f328(x76922,x76923)),f328(f328(f8(a911,x76921),x76922),f328(f303(a911,f328(a116,x76923)),x76924))),f328(f328(f8(a911,x76921),x76922),f328(f303(a911,x76923),x76924)))+~P107(f328(f328(f240(a911),x76923),x76924))
% 28.33/28.22 [7710]E(x77101,x77102)+P107(f328(f328(f174(x77103),x77104),x77102))+~P107(f328(f328(f174(x77103),f328(f328(f153(x77103),x77101),x77104)),x77102))
% 28.33/28.22 [7721]~P109(x77211)+P107(f328(f328(f240(x77211),x77212),x77213))+~P107(f328(f328(f240(x77211),f328(f328(f238(x77211),x77214),x77212)),x77213))
% 28.33/28.22 [7722]~P109(x77221)+P107(f328(f328(f240(x77221),x77222),x77223))+~P107(f328(f328(f240(x77221),f328(f328(f238(x77221),x77222),x77224)),x77223))
% 28.33/28.22 [7723]~P109(x77231)+P107(f328(f328(f239(x77231),x77232),x77233))+~P107(f328(f328(f239(x77231),f328(f328(f238(x77231),x77234),x77232)),x77233))
% 28.33/28.22 [7724]~P109(x77241)+P107(f328(f328(f239(x77241),x77242),x77243))+~P107(f328(f328(f239(x77241),f328(f328(f238(x77241),x77244),x77242)),x77243))
% 28.33/28.22 [7725]~P109(x77251)+P107(f328(f328(f239(x77251),x77252),x77253))+~P107(f328(f328(f239(x77251),f328(f328(f238(x77251),x77252),x77254)),x77253))
% 28.33/28.22 [7726]~P109(x77261)+P107(f328(f328(f239(x77261),x77262),x77263))+~P107(f328(f328(f239(x77261),f328(f328(f238(x77261),x77262),x77264)),x77263))
% 28.33/28.22 [7727]~P100(x77271)+P107(f328(f328(f239(x77271),x77272),x77273))+~P107(f328(f328(f239(x77271),f328(f328(f105(x77271),x77274),x77272)),x77273))
% 28.33/28.22 [7728]~P100(x77281)+P107(f328(f328(f239(x77281),x77282),x77283))+~P107(f328(f328(f239(x77281),f328(f328(f105(x77281),x77284),x77282)),x77283))
% 28.33/28.22 [7729]~P100(x77291)+P107(f328(f328(f239(x77291),x77292),x77293))+~P107(f328(f328(f239(x77291),f328(f328(f105(x77291),x77292),x77294)),x77293))
% 28.33/28.22 [7730]~P100(x77301)+P107(f328(f328(f239(x77301),x77302),x77303))+~P107(f328(f328(f239(x77301),f328(f328(f105(x77301),x77302),x77304)),x77303))
% 28.33/28.22 [7805]~P107(f328(f328(f330(x78051),x78052),x78054))+P107(f328(f328(f330(x78051),x78052),x78053))+P107(f328(f328(f330(x78051),x78052),f328(f328(f3(f918(x78051,a905)),x78054),x78053)))
% 28.33/28.22 [7806]~P107(f328(f328(f330(x78061),x78062),x78064))+P107(f328(f328(f330(x78061),x78062),x78063))+P107(f328(f328(f330(x78061),x78062),f328(f328(f3(f918(x78061,a905)),x78064),x78063)))
% 28.33/28.22 [7890]P107(f328(x78901,x78902))+P107(f328(x78903,x78902))+~P107(f328(f328(f328(f105(f918(x78904,a905)),x78903),x78901),x78902))
% 28.33/28.22 [7900]~P107(f328(f328(f330(x79001),x79002),x79004))+~P107(f328(f328(f330(x79001),x79002),x79003))+P107(f328(f328(f330(x79001),x79002),f328(f328(f106(f918(x79001,a905)),x79003),x79004)))
% 28.33/28.22 [7901]~P107(f328(f328(f330(x79011),x79012),x79014))+~P107(f328(f328(f330(x79011),x79012),x79013))+P107(f328(f328(f330(x79011),x79012),f328(f328(f106(f918(x79011,a905)),x79013),x79014)))
% 28.33/28.22 [7956]~P109(x79561)+~P107(f328(f64(x79561),x79564))+E(f328(f328(f67(x79561,x79561,f243(x79561)),x79562),f328(f328(f310(x79561),x79563),x79564)),f328(f328(f243(x79561),x79563),f328(f328(f67(x79561,x79561,f243(x79561)),x79562),x79564)))
% 28.33/28.22 [7957]~P109(x79571)+~P107(f328(f64(x79571),x79574))+E(f328(f328(f67(x79571,x79571,f238(x79571)),x79572),f328(f328(f310(x79571),x79573),x79574)),f328(f328(f238(x79571),x79573),f328(f328(f67(x79571,x79571,f238(x79571)),x79572),x79574)))
% 28.33/28.22 [7958]~P100(x79581)+~P107(f328(f64(x79581),x79584))+E(f328(f328(f67(x79581,x79581,f105(x79581)),x79582),f328(f328(f310(x79581),x79583),x79584)),f328(f328(f105(x79581),x79583),f328(f328(f67(x79581,x79581,f105(x79581)),x79582),x79584)))
% 28.33/28.22 [7959]~P104(x79591)+~P107(f328(f64(x79591),x79594))+E(f328(f328(f67(x79591,x79591,f106(x79591)),x79592),f328(f328(f310(x79591),x79593),x79594)),f328(f328(f106(x79591),x79593),f328(f328(f67(x79591,x79591,f106(x79591)),x79592),x79594)))
% 28.33/28.22 [7960]~P143(x79601)+~P95(x79601)+E(f328(f328(f83(x79601),f328(f328(f84(x79601),f328(f108(x79601),x79602)),x79603)),f328(f328(f84(x79601),f328(f108(x79601),x79602)),x79604)),f328(f328(f84(x79601),f328(f108(x79601),x79602)),f328(f328(f83(x79601),x79603),x79604)))
% 28.33/28.22 [7961]~P128(x79611)+~P95(x79611)+E(f328(f328(f3(x79611),f328(f328(f84(x79611),f328(f108(x79611),x79612)),x79613)),f328(f328(f84(x79611),f328(f108(x79611),x79612)),x79614)),f328(f328(f84(x79611),f328(f108(x79611),x79612)),f328(f328(f3(x79611),x79613),x79614)))
% 28.33/28.22 [8075]E(x80751,x80752)+P107(f328(f328(f330(x80753),x80751),f328(f174(x80753),x80754)))+~P107(f328(f328(f330(x80753),x80751),f328(f174(x80753),f328(f328(f153(x80753),x80752),x80754))))
% 28.33/28.22 [8260]P61(x82601,x82602,x82603)+~P61(x82601,x82602,x82604)+~P107(f328(f328(f239(f918(f917(x82601,x82602),a905)),x82603),x82604))
% 28.33/28.22 [8300]P107(f328(f328(f330(x83001),x83002),x83003))+P107(f328(f328(f330(x83001),x83002),x83004))+~P107(f328(f328(f330(x83001),x83002),f328(f328(f105(f918(x83001,a905)),x83004),x83003)))
% 28.33/28.22 [8301]P107(f328(f328(f330(x83011),x83012),x83013))+P107(f328(f328(f330(x83011),x83012),x83014))+~P107(f328(f328(f330(x83011),x83012),f328(f328(f105(f918(x83011,a905)),x83014),x83013)))
% 28.33/28.22 [8310]~P59(x83101,x83104,x83103)+~P107(f328(f328(f330(x83101),x83102),x83104))+P107(f328(f328(f330(f917(x83101,x83101)),f328(f328(f256(x83101,x83101),x83102),x83102)),x83103))
% 28.33/28.22 [8311]~P59(x83111,x83114,x83113)+~P107(f328(f328(f330(x83111),x83112),x83114))+P107(f328(f328(f330(f917(x83111,x83111)),f328(f328(f256(x83111,x83111),x83112),x83112)),x83113))
% 28.33/28.22 [8312]~P59(x83121,x83124,x83123)+~P107(f328(f328(f330(x83121),x83122),x83124))+P107(f328(f328(f330(f917(x83121,x83121)),f328(f328(f256(x83121,x83121),x83122),x83122)),x83123))
% 28.33/28.22 [8324]~P107(f328(f64(x83242),x83244))+~P107(f328(f64(x83241),x83243))+P107(f328(f64(f917(x83241,x83242)),f328(f328(f258(x83241,x83242),x83243),f328(f18(f918(x83242,a905),x83241),x83244))))
% 28.33/28.22 [8325]~P107(f328(f328(f330(x83251),x83252),x83254))+~P107(f328(f328(f239(f918(x83251,a905)),x83253),x83254))+P107(f328(f328(f239(f918(x83251,a905)),f328(f328(f310(x83251),x83252),x83253)),x83254))
% 28.33/28.22 [8332]~P108(x83322)+~P78(x83322)+E(f328(f328(f11(x83321,x83322),f328(f328(f10(a911,x83322,x83321),f104(x83322)),x83323)),x83324),f328(f104(x83322),f328(f328(f11(x83321,a911),x83323),x83324)))
% 28.33/28.22 [8333]~P140(x83332)+~P78(x83332)+E(f328(f328(f11(x83331,x83332),f328(f328(f10(a1,x83332,x83331),f107(x83332)),x83333)),x83334),f328(f107(x83332),f328(f328(f11(x83331,a1),x83333),x83334)))
% 28.33/28.22 [8358]E(f328(f328(f3(f918(x83581,a905)),x83582),f328(f328(f3(f918(x83581,a905)),x83583),x83584)),x83584)+~P107(f328(f328(f239(f918(x83581,a905)),x83582),x83583))+~P107(f328(f328(f239(f918(x83581,a905)),x83584),x83582))
% 28.33/28.22 [8456]~P107(f328(f64(x84561),x84564))+E(f328(f328(f3(a911),f328(f328(f8(x84561,a911),x84562),x84563)),f328(f328(f8(x84561,a911),x84562),x84564)),f328(f328(f8(x84561,a911),x84562),f328(f328(f3(f918(x84561,a905)),x84563),x84564)))+~P107(f328(f328(f239(f918(x84561,a905)),x84564),x84563))
% 28.33/28.22 [8610]~P13(x86101,x86104,x86103)+~P107(f328(f328(f330(x86101),x86102),x86104))+P107(f328(f328(f330(x86101),x86102),f328(f287(x86101,x86101,x86103),f328(f328(f310(x86101),x86102),f190(f918(x86101,a905))))))
% 28.33/28.22 [8676]~P107(f328(f328(f239(f918(x86761,a905)),x86762),x86763))+~P107(f328(f328(f239(f918(x86761,a905)),x86762),x86764))+P107(f328(f328(f239(f918(x86761,a905)),x86762),f328(f328(f106(f918(x86761,a905)),x86763),x86764)))
% 28.33/28.22 [8775]E(x87751,f190(f918(x87752,a905)))+P107(f328(f64(x87753),x87754))+~P107(f328(f64(f917(x87753,x87752)),f328(f328(f258(x87753,x87752),x87754),f328(f18(f918(x87752,a905),x87753),x87751))))
% 28.33/28.22 [8776]E(x87761,f190(f918(x87762,a905)))+P107(f328(f64(x87763),x87764))+~P107(f328(f64(f917(x87762,x87763)),f328(f328(f258(x87762,x87763),x87761),f328(f18(f918(x87763,a905),x87762),x87764))))
% 28.33/28.22 [8844]P107(f328(f328(f330(x88441),x88442),f317(x88441,x88443)))+~P107(f328(f328(f330(x88441),x88444),f317(x88441,x88443)))+~P107(f328(f328(f330(f917(x88441,x88441)),f328(f328(f256(x88441,x88441),x88442),x88444)),x88443))
% 28.33/28.22 [8845]P107(f328(f328(f330(x88451),x88452),f317(x88451,x88453)))+~P107(f328(f328(f330(x88451),x88454),f317(x88451,x88453)))+~P107(f328(f328(f330(f917(x88451,x88451)),f328(f328(f256(x88451,x88451),x88452),x88454)),x88453))
% 28.33/28.22 [8898]~P43(x88981,x88984)+P107(f328(f328(f330(f917(x88981,x88981)),f328(f328(f256(x88981,x88981),x88983),x88982)),f308(x88981,x88984)))+P43(x88981,f328(f328(f310(f917(x88981,x88981)),f328(f328(f256(x88981,x88981),x88982),x88983)),x88984))
% 28.33/28.22 [8899]~P64(x88991,x88994)+P107(f328(f328(f330(f917(x88991,x88991)),f328(f328(f256(x88991,x88991),x88993),x88992)),f308(x88991,x88994)))+P64(x88991,f328(f328(f310(f917(x88991,x88991)),f328(f328(f256(x88991,x88991),x88992),x88993)),x88994))
% 28.33/28.22 [8978]~E(x89782,x89783)+~P107(f328(f328(f330(x89781),x89782),f328(f174(x89781),x89784)))+P107(f328(f328(f330(f917(x89781,x89781)),f328(f328(f256(x89781,x89781),x89782),x89783)),f328(f174(f917(x89781,x89781)),f328(f328(f183(x89781,x89781),x89784),x89784))))
% 28.33/28.22 [9068]~E(x90683,x90684)+P107(f328(f328(f261(x90681,x90681,a905),a325),x90682))+~P107(f328(f328(f330(f917(x90681,x90681)),x90682),f328(f174(f917(x90681,x90681)),f328(f328(f183(x90681,x90681),x90683),x90684))))
% 28.33/28.22 [9109]P107(f328(f328(f330(f917(f912(x91091),f912(x91091))),f328(f328(f256(f912(x91091),f912(x91091)),x91092),x91093)),f149(x91091,x91094)))+~E(f328(f328(f177(x91091),f328(f191(f912(x91091)),x91092)),x91093),x91092)+~P107(f328(f328(f240(a911),f328(f191(f912(x91091)),x91092)),f328(f191(f912(x91091)),x91093)))
% 28.33/28.22 [9111]~P58(x91111,x91114)+~P107(f328(f328(f330(f917(x91111,x91111)),f328(f328(f256(x91111,x91111),x91113),x91112)),x91114))+P107(f328(f328(f330(f917(x91111,x91111)),f328(f328(f256(x91111,x91111),x91112),x91113)),x91114))
% 28.33/28.22 [9112]~P58(x91121,x91124)+~P107(f328(f328(f330(f917(x91121,x91121)),f328(f328(f256(x91121,x91121),x91123),x91122)),x91124))+P107(f328(f328(f330(f917(x91121,x91121)),f328(f328(f256(x91121,x91121),x91122),x91123)),x91124))
% 28.33/28.22 [9205]~P107(f328(f64(x92051),x92054))+P107(f328(f328(f330(x92051),f392(x92052,x92053,x92054,x92051)),x92054))+P107(f328(f64(x92053),f328(f328(f42(x92051,f918(x92053,a905)),x92054),x92052)))
% 28.33/28.22 [9206]~P107(f328(f64(x92061),x92064))+P107(f328(f328(f330(x92061),f694(x92062,x92063,x92064,x92061)),x92064))+P107(f328(f64(x92063),f328(f328(f42(x92061,f918(x92063,a905)),x92064),x92062)))
% 28.33/28.22 [9297]P107(f328(f328(f330(f917(x92971,x92971)),x92972),f328(f328(f290(x92971,x92971,x92971),x92973),f308(x92971,x92973))))+~P107(f328(f328(f240(a911),f2(a911)),x92974))+~P107(f328(f328(f330(f917(x92971,x92971)),x92972),f328(f328(f185(f917(x92971,x92971),a905),x92974),x92973)))
% 28.33/28.22 [9304]~P43(x93041,x93042)+~P107(f328(f328(f330(f917(x93041,x93041)),f328(f328(f256(x93041,x93041),x93044),x93043)),x93042))+~P107(f328(f328(f330(f917(x93041,x93041)),f328(f328(f256(x93041,x93041),x93043),x93044)),x93042))
% 28.33/28.22 [9305]~P43(x93051,x93052)+~P107(f328(f328(f330(f917(x93051,x93051)),f328(f328(f256(x93051,x93051),x93054),x93053)),x93052))+~P107(f328(f328(f330(f917(x93051,x93051)),f328(f328(f256(x93051,x93051),x93053),x93054)),x93052))
% 28.33/28.22 [9423]~P107(f328(f64(x94231),x94234))+E(f328(f328(f8(x94231,a911),f328(f328(f10(f918(x94232,a905),a911,x94231),f38(x94232)),x94233)),x94234),f328(f38(f917(x94231,x94232)),f328(f328(f258(x94231,x94232),x94234),x94233)))+P107(f328(f328(f330(x94231),f536(x94233,x94232,x94234,x94231)),x94234))
% 28.33/28.22 [9427]~P107(f328(f139(x94271),x94272))+P107(f328(f139(x94271),f328(f328(f161(x94271,x94272),x94273),x94274)))+P107(f328(f328(f330(x94271),x94274),f328(f328(f3(f918(x94271,a905)),f328(f174(x94271),x94272)),f328(f328(f310(x94271),f328(f328(f166(x94271),x94272),x94273)),f190(f918(x94271,a905))))))
% 28.33/28.22 [9443]~P107(f328(f64(x94432),x94433))+~P107(f328(f64(x94431),f328(x94434,f392(x94434,x94431,x94433,x94432))))+P107(f328(f64(x94431),f328(f328(f42(x94432,f918(x94431,a905)),x94433),x94434)))
% 28.33/28.22 [9444]~P107(f328(f64(x94442),x94443))+~P107(f328(f64(x94441),f328(x94444,f694(x94444,x94441,x94443,x94442))))+P107(f328(f64(x94441),f328(f328(f42(x94442,f918(x94441,a905)),x94443),x94444)))
% 28.33/28.22 [9521]~P107(f328(f328(f330(f917(x95211,x95211)),x95212),f328(f328(f290(x95211,x95211,x95211),x95214),f308(x95211,x95214))))+P107(f328(f328(f330(f917(x95211,x95211)),x95212),f328(f328(f290(x95211,x95211,x95211),x95213),f308(x95211,x95213))))+~P107(f328(f328(f239(f918(f917(x95211,x95211),a905)),x95214),x95213))
% 28.33/28.22 [9528]E(f328(f328(f177(x95281),f582(x95284,x95283,x95282,x95281)),x95283),f328(f328(f177(x95281),f582(x95284,x95283,x95282,x95281)),x95282))+~P107(f328(f328(f330(f917(f912(x95281),f912(x95281))),f328(f328(f256(f912(x95281),f912(x95281)),x95282),x95283)),f149(x95281,x95284)))+E(f328(f328(f177(x95281),f328(f191(f912(x95281)),x95282)),x95283),x95282)
% 28.33/28.22 [9544]~P107(f328(f64(x95441),x95444))+E(f328(f328(f8(x95441,a911),f328(f328(f10(f918(x95442,a905),a911,x95441),f38(x95442)),x95443)),x95444),f328(f38(f917(x95441,x95442)),f328(f328(f258(x95441,x95442),x95444),x95443)))+~P107(f328(f64(x95442),f328(x95443,f536(x95443,x95442,x95444,x95441))))
% 28.33/28.22 [9549]~E(f328(f191(f912(x95491)),x95493),f328(f191(f912(x95491)),x95492))+P107(f328(f328(f330(f917(f912(x95491),f912(x95491))),f328(f328(f256(f912(x95491),f912(x95491)),x95492),x95493)),f160(x95491,x95494)))+P107(f328(f328(f330(f917(x95491,x95491)),f590(x95494,x95493,x95492,x95491)),f328(f174(f917(x95491,x95491)),f328(f328(f183(x95491,x95491),x95492),x95493))))
% 28.33/28.22 [9630]~P107(f328(f328(f330(f917(f912(x96301),f912(x96301))),f328(f328(f256(f912(x96301),f912(x96301)),x96302),x96303)),f149(x96301,x96304)))+E(f328(f328(f177(x96301),f328(f191(f912(x96301)),x96302)),x96303),x96302)+P107(f328(f328(f240(a911),f582(x96304,x96303,x96302,x96301)),f328(f328(f243(a911),f328(f191(f912(x96301)),x96302)),f328(f191(f912(x96301)),x96303))))
% 28.33/28.22 [9652]~P107(f328(f328(f330(f917(f912(x96521),f912(x96521))),f328(f328(f256(f912(x96521),f912(x96521)),x96522),x96523)),f149(x96521,x96524)))+P107(f328(f328(f240(a911),f328(f191(f912(x96521)),x96522)),f328(f191(f912(x96521)),x96523)))+P107(f328(f328(f240(a911),f582(x96524,x96523,x96522,x96521)),f328(f328(f243(a911),f328(f191(f912(x96521)),x96522)),f328(f191(f912(x96521)),x96523))))
% 28.33/28.22 [10047]~P107(f328(f328(f330(f917(f912(x100471),f912(x100471))),f328(f328(f256(f912(x100471),f912(x100471)),x100472),x100473)),f149(x100471,x100474)))+E(f328(f328(f177(x100471),f328(f191(f912(x100471)),x100472)),x100473),x100472)+P107(f328(f328(f330(f917(x100471,x100471)),f328(f328(f256(x100471,x100471),f328(f328(f166(x100471),x100472),f582(x100474,x100473,x100472,x100471))),f328(f328(f166(x100471),x100473),f582(x100474,x100473,x100472,x100471)))),x100474))
% 28.33/28.22 [10048]~P107(f328(f328(f330(f917(f912(x100481),f912(x100481))),f328(f328(f256(f912(x100481),f912(x100481)),x100482),x100483)),f149(x100481,x100484)))+P107(f328(f328(f240(a911),f328(f191(f912(x100481)),x100482)),f328(f191(f912(x100481)),x100483)))+P107(f328(f328(f330(f917(x100481,x100481)),f328(f328(f256(x100481,x100481),f328(f328(f166(x100481),x100482),f582(x100484,x100483,x100482,x100481))),f328(f328(f166(x100481),x100483),f582(x100484,x100483,x100482,x100481)))),x100484))
% 28.33/28.22 [10104]~E(f328(f191(f912(x101041)),x101042),f328(f191(f912(x101041)),x101043))+P107(f328(f328(f330(f917(f912(x101041),f912(x101041))),f328(f328(f256(f912(x101041),f912(x101041)),x101042),x101043)),f160(x101041,x101044)))+~P107(f328(f328(f330(f917(x101041,x101041)),f328(f328(f256(x101041,x101041),f328(f328(f166(x101041),x101042),f577(x101044,x101043,x101042,x101041))),f328(f328(f166(x101041),x101043),f577(x101044,x101043,x101042,x101041)))),x101044))
% 28.33/28.22 [10247]~P76(x102471)+~P107(f328(f64(x102472),x102474))+E(f328(f167(x102471),f328(f328(f156(x102472,x102471),x102473),f93(f912(x102472),f328(f328(f20(f912(x102472),a905,a905),f328(f328(f10(a905,f918(a905,a905),f912(x102472)),a326),f328(f328(f9(f912(x102472),f918(x102472,a905),a905),f328(f328(f10(f918(x102472,a905),f918(f918(x102472,a905),a905),f912(x102472)),a325),f174(x102472))),x102474))),f139(x102472))))),f235(x102472,x102471,x102473,x102474))
% 28.33/28.22 [7536]~P69(x75362)+E(x75361,f2(x75362))+E(f328(f328(f291(x75362),f328(f328(f83(x75362),x75363),f328(f328(f84(x75362),x75364),x75361))),x75361),f328(f328(f83(x75362),x75364),f328(f328(f291(x75362),x75363),x75361)))
% 28.33/28.22 [7537]~P8(x75372)+E(x75371,f2(x75372))+E(f328(f328(f39(x75372),f328(f328(f83(x75372),x75373),f328(f328(f84(x75372),x75374),x75371))),x75371),f328(f328(f83(x75372),x75374),f328(f328(f39(x75372),x75373),x75371)))
% 28.33/28.22 [7538]~P8(x75382)+E(x75381,f2(x75382))+E(f328(f328(f39(x75382),f328(f328(f83(x75382),x75383),f328(f328(f84(x75382),x75381),x75384))),x75381),f328(f328(f83(x75382),x75384),f328(f328(f39(x75382),x75383),x75381)))
% 28.33/28.22 [7770]~P69(x77702)+E(x77701,f2(x77702))+E(f328(f328(f291(x77702),f328(f328(f83(x77702),x77703),f328(f328(f84(x77702),x77704),x77701))),x77701),f328(f328(f83(x77702),f328(f328(f291(x77702),x77703),x77701)),x77704))
% 28.33/28.22 [7771]~P70(x77712)+E(x77711,f2(x77712))+E(f328(f328(f291(x77712),f328(f328(f83(x77712),x77713),f328(f328(f84(x77712),x77711),x77714))),x77711),f328(f328(f83(x77712),f328(f328(f291(x77712),x77713),x77711)),x77714))
% 28.33/28.22 [7772]~P70(x77722)+E(x77721,f2(x77722))+E(f328(f328(f291(x77722),f328(f328(f3(x77722),x77723),f328(f328(f84(x77722),x77721),x77724))),x77721),f328(f328(f3(x77722),f328(f328(f291(x77722),x77723),x77721)),x77724))
% 28.33/28.22 [8484]~P107(f328(f162(x84841,x84843),x84844))+~P107(f328(f162(x84841,x84842),x84844))+P107(f328(f162(x84841,f328(f328(f106(f918(x84841,a905)),x84842),x84843)),x84844))
% 28.33/28.22 [8860]~E(f328(f328(f290(x88601,x88601,x88601),x88602),x88604),f190(f918(f917(x88601,x88601),a905)))+~E(f328(f328(f290(x88601,x88601,x88601),x88602),x88603),f190(f918(f917(x88601,x88601),a905)))+E(f328(f328(f290(x88601,x88601,x88601),x88602),f328(f328(f105(f918(f917(x88601,x88601),a905)),x88603),x88604)),f190(f918(f917(x88601,x88601),a905)))
% 28.33/28.22 [8979]~P107(f328(f328(f239(f918(x89791,a905)),x89793),x89794))+~P107(f328(f328(f239(f918(x89791,a905)),x89792),x89794))+P107(f328(f328(f239(f918(x89791,a905)),f328(f328(f105(f918(x89791,a905)),x89792),x89793)),x89794))
% 28.33/28.22 [9357]~P107(f328(f64(x93571),x93574))+~P107(f328(f64(x93571),x93573))+E(f328(f328(f3(a911),f328(f328(f83(a911),f328(f328(f8(x93571,a911),x93572),x93573)),f328(f328(f8(x93571,a911),x93572),x93574))),f328(f328(f8(x93571,a911),x93572),f328(f328(f106(f918(x93571,a905)),x93573),x93574))),f328(f328(f8(x93571,a911),x93572),f328(f328(f105(f918(x93571,a905)),x93573),x93574)))
% 28.33/28.22 [9440]~P107(f328(f328(f330(x94401),x94403),x94402))+~P107(f328(f328(f239(f918(x94401,a905)),x94402),f328(f328(f310(x94401),x94403),x94404)))+P107(f328(f328(f239(f918(x94401,a905)),f328(f328(f3(f918(x94401,a905)),x94402),f328(f328(f310(x94401),x94403),f190(f918(x94401,a905))))),x94404))
% 28.33/28.22 [9604]~P107(f328(f328(f330(x96041),x96043),x96042))+P107(f328(f328(f239(f918(x96041,a905)),x96042),f328(f328(f310(x96041),x96043),x96044)))+~P107(f328(f328(f239(f918(x96041,a905)),f328(f328(f3(f918(x96041,a905)),x96042),f328(f328(f310(x96041),x96043),f190(f918(x96041,a905))))),x96044))
% 28.33/28.22 [9605]~P107(f328(f328(f330(x96051),x96053),x96052))+P107(f328(f328(f239(f918(x96051,a905)),x96052),f328(f328(f310(x96051),x96053),x96054)))+~P107(f328(f328(f239(f918(x96051,a905)),f328(f328(f3(f918(x96051,a905)),x96052),f328(f328(f310(x96051),x96053),f190(f918(x96051,a905))))),x96054))
% 28.33/28.22 [9629]~P107(f328(f328(f239(f918(x96291,a905)),x96292),x96294))+P107(f328(f328(f239(f918(x96291,a905)),x96292),f328(f328(f310(x96291),x96293),x96294)))+~P107(f328(f328(f239(f918(x96291,a905)),f328(f328(f3(f918(x96291,a905)),x96292),f328(f328(f310(x96291),x96293),f190(f918(x96291,a905))))),x96294))
% 28.33/28.22 [9690]~P107(f328(f328(f240(a911),x96902),x96904))+~P107(f328(f328(f239(a911),x96901),x96903))+P107(f328(f328(f330(f917(f917(a911,a911),f917(a911,a911))),f328(f328(f256(f917(a911,a911),f917(a911,a911)),f328(f328(f256(a911,a911),x96901),x96902)),f328(f328(f256(a911,a911),x96903),x96904))),a36))
% 28.33/28.22 [9691]~P107(f328(f328(f239(a911),x96912),x96914))+~P107(f328(f328(f239(a911),x96911),x96913))+P107(f328(f328(f330(f917(f917(a911,a911),f917(a911,a911))),f328(f328(f256(f917(a911,a911),f917(a911,a911)),f328(f328(f256(a911,a911),x96911),x96912)),f328(f328(f256(a911,a911),x96913),x96914))),a74))
% 28.33/28.22 [9978]~P107(f328(f328(f330(f912(x99781)),x99784),f163(x99781,x99783)))+~P107(f328(f328(f330(f912(x99781)),x99784),f163(x99781,x99782)))+P107(f328(f162(x99781,f328(f328(f106(f918(x99781,a905)),f328(f328(f9(x99781,f918(x99781,a905),a905),f330(x99781)),x99782)),f328(f328(f9(x99781,f918(x99781,a905),a905),f330(x99781)),x99783))),x99784))
% 28.33/28.22 [10070]~P30(x100701,f918(f918(x100701,a905),a905),f328(f328(f9(x100701,f918(f917(x100701,x100701),a905),f918(f918(x100701,a905),a905)),f328(f328(f10(f918(x100701,a905),f918(f918(f917(x100701,x100701),a905),f918(f918(x100701,a905),a905)),x100701),f63(x100701)),f328(f328(f9(x100701,f918(x100701,a905),f918(x100701,a905)),f310(x100701)),f190(f918(x100701,a905))))),x100703),x100702)+~P107(f328(f328(f330(x100701),x100704),x100702))+E(f328(f328(f3(f918(f918(x100701,a905),a905)),f328(f328(f63(x100701),x100702),x100703)),f328(f328(f63(x100701),f328(f328(f310(x100701),x100704),f190(f918(x100701,a905)))),x100703)),f328(f328(f63(x100701),f328(f328(f3(f918(x100701,a905)),x100702),f328(f328(f310(x100701),x100704),f190(f918(x100701,a905))))),x100703))
% 28.33/28.22 [10202]~P59(x102021,x102022,x102024)+~P107(f328(f328(f330(f917(x102021,x102021)),x102023),x102024))+P107(f328(f328(f261(x102021,x102021,a905),f328(f328(f9(x102021,f918(x102021,a905),f918(x102021,a905)),f328(f328(f10(f918(a905,a905),f918(f918(x102021,a905),f918(x102021,a905)),x102021),f10(a905,a905,x102021)),f328(f328(f10(a905,f918(a905,a905),x102021),a326),f328(f328(f9(x102021,f918(x102021,a905),a905),f330(x102021)),x102022)))),f328(f328(f9(x102021,f918(x102021,a905),a905),f330(x102021)),x102022))),x102023))
% 28.33/28.22 [10216]P107(f328(f64(x102161),x102162))+~P107(f328(f64(x102163),f328(f311(x102161,x102163,x102164),x102162)))+~P107(f328(f64(x102161),f328(f266(x102161),f328(f328(f20(x102161,a905,a905),f328(f328(f10(a905,f918(a905,a905),x102161),a326),f328(f328(f9(x102161,f918(x102161,a905),a905),f330(x102161)),x102162))),f328(f328(f9(x102161,x102163,a905),f328(f328(f10(x102163,f918(x102163,a905),x102161),a325),x102164)),f328(x102164,f685(x102164,x102163,x102162,x102161)))))))
% 28.33/28.22 [8241]~P70(x82412)+E(x82411,f2(x82412))+E(f328(f328(f291(x82412),f328(f328(f83(x82412),f328(f328(f84(x82412),x82411),x82413)),x82414)),x82411),f328(f328(f83(x82412),x82413),f328(f328(f291(x82412),x82414),x82411)))
% 28.33/28.22 [8242]~P70(x82422)+E(x82421,f2(x82422))+E(f328(f328(f291(x82422),f328(f328(f3(x82422),f328(f328(f84(x82422),x82421),x82423)),x82424)),x82421),f328(f328(f3(x82422),x82423),f328(f328(f291(x82422),x82424),x82421)))
% 28.33/28.22 [9138]~E(f328(f328(f290(x91381,x91381,x91381),x91383),x91384),f190(f918(f917(x91381,x91381),a905)))+~E(f328(f328(f290(x91381,x91381,x91381),x91382),x91384),f190(f918(f917(x91381,x91381),a905)))+E(f328(f328(f290(x91381,x91381,x91381),f328(f328(f105(f918(f917(x91381,x91381),a905)),x91382),x91383)),x91384),f190(f918(f917(x91381,x91381),a905)))
% 28.33/28.22 [9895]~P107(f328(f162(x98951,x98953),x98954))+~P107(f328(f162(x98951,x98952),x98954))+P107(f328(f162(x98951,f328(f328(f20(x98951,a905,a905),f328(f328(f10(a905,f918(a905,a905),x98951),a326),x98952)),x98953)),x98954))
% 28.33/28.22 [10138]P107(f328(x101381,f549(x101382,x101383,x101381,x101384)))+~P107(f328(f64(x101384),f328(f266(x101384),x101381)))+P107(f328(f64(x101383),f328(f266(x101383),f328(f328(f10(f918(x101384,a905),a905,x101383),f90(x101384)),f328(f328(f10(f918(x101384,a905),f918(x101384,a905),x101383),f328(f20(x101384,a905,a905),f328(f328(f10(a905,f918(a905,a905),x101384),a326),x101381))),x101382)))))
% 28.33/28.22 [10156]~P107(f328(f64(x101562),f328(f266(x101562),x101563)))+~P107(f328(f64(x101561),f328(f266(x101561),f328(f328(f9(x101561,x101562,a905),x101564),f549(x101564,x101561,x101563,x101562)))))+P107(f328(f64(x101561),f328(f266(x101561),f328(f328(f10(f918(x101562,a905),a905,x101561),f90(x101562)),f328(f328(f10(f918(x101562,a905),f918(x101562,a905),x101561),f328(f20(x101562,a905,a905),f328(f328(f10(a905,f918(a905,a905),x101562),a326),x101563))),x101564)))))
% 28.33/28.22 [10227]~P107(f328(f64(x102271),x102274))+P107(f328(f328(f330(x102271),f821(x102272,x102273,x102274,x102271)),x102274))+P107(f328(f64(x102273),f328(f266(x102273),f328(f328(f10(f918(x102271,a905),a905,x102273),f90(x102271)),f328(f328(f10(f918(x102271,a905),f918(x102271,a905),x102273),f328(f20(x102271,a905,a905),f328(f328(f10(a905,f918(a905,a905),x102271),a326),f328(f328(f9(x102271,f918(x102271,a905),a905),f330(x102271)),x102274)))),x102272)))))
% 28.33/28.22 [10233]~P107(f328(f64(x102332),x102333))+~P107(f328(f64(x102331),f328(f266(x102331),f328(f328(f9(x102331,x102332,a905),x102334),f821(x102334,x102331,x102333,x102332)))))+P107(f328(f64(x102331),f328(f266(x102331),f328(f328(f10(f918(x102332,a905),a905,x102331),f90(x102332)),f328(f328(f10(f918(x102332,a905),f918(x102332,a905),x102331),f328(f20(x102332,a905,a905),f328(f328(f10(a905,f918(a905,a905),x102332),a326),f328(f328(f9(x102332,f918(x102332,a905),a905),f330(x102332)),x102333)))),x102334)))))
% 28.33/28.22 [5163]~E(x51632,x51634)+E(f171(x51631,x51632,x51633),f171(x51631,x51634,x51635))+~E(x51632,f2(a911))
% 28.33/28.22 [5419]E(x54191,x54192)+~E(f171(x54194,x54193,x54191),f171(x54194,x54195,x54192))+E(x54193,f2(a911))
% 28.33/28.22 [5972]~E(x59725,x59722)+P47(f33(x59721,x59723),x59722,x59724,x59725)+P107(f328(x59721,x59722))
% 28.33/28.22 [6530]E(x65301,x65302)+~P47(f33(x65303,x65304),x65301,x65305,x65302)+P107(f328(x65303,x65301))
% 28.33/28.22 [8034]~P47(x80342,x80343,x80344,x80345)+~P47(f33(x80341,x80342),x80345,x80344,x80343)+P47(f33(x80341,x80342),x80343,x80344,x80343)
% 28.33/28.22 [9266]E(x92661,x92662)+~P47(f33(x92665,x92663),x92661,x92664,x92662)+P47(x92663,x92661,x92664,f587(x92662,x92664,x92661,x92663,x92665))
% 28.33/28.22 [9268]E(x92681,x92682)+P47(f33(x92683,x92684),f587(x92681,x92685,x92682,x92684,x92683),x92685,x92681)+~P47(f33(x92683,x92684),x92682,x92685,x92681)
% 28.33/28.22 [9272]~P47(f33(x92725,x92721),x92722,x92723,x92724)+P47(x92721,x92722,x92723,f587(x92724,x92723,x92722,x92721,x92725))+~P107(f328(x92725,x92722))
% 28.33/28.22 [9279]~P47(f33(x92791,x92792),x92795,x92794,x92793)+P47(f33(x92791,x92792),f587(x92793,x92794,x92795,x92792,x92791),x92794,x92793)+~P107(f328(x92791,x92795))
% 28.33/28.22 [6673]E(x66731,x66732)+~E(f328(x66733,x66731),f328(x66733,x66732))+~P30(x66734,x66735,x66733,f246(f918(x66734,a905)))
% 28.33/28.22 [6674]E(x66741,x66742)+~E(f328(x66743,x66741),f328(x66743,x66742))+~P30(x66744,x66745,x66743,f246(f918(x66744,a905)))
% 28.33/28.22 [7574]E(x75741,x75742)+~P30(x75743,x75744,x75745,f246(f918(x75743,a905)))+~E(f328(f311(x75743,x75744,x75745),x75741),f328(f311(x75743,x75744,x75745),x75742))
% 28.33/28.22 [7823]P30(x78232,x78233,f468(x78234,x78233,x78232,x78231),x78231)+~E(f328(f311(x78233,x78232,x78235),x78234),x78231)+E(x78231,f190(f918(x78232,a905)))
% 28.33/28.22 [8369]~P107(f328(f328(x83693,x83692),x83695))+~P107(f328(f328(x83693,x83694),x83692))+P107(f328(f328(f330(x83691),x83692),f300(x83691,x83693,x83694,x83695)))
% 28.33/28.22 [8370]~P107(f328(f328(x83703,x83702),x83705))+~P107(f328(f328(x83703,x83704),x83702))+P107(f328(f328(f330(x83701),x83702),f297(x83701,x83703,x83704,x83705)))
% 28.33/28.22 [8938]~P30(x89381,x89383,x89385,f246(f918(x89381,a905)))+~P30(x89383,x89382,x89384,f246(f918(x89383,a905)))+P30(x89381,x89382,f328(f76(x89383,x89382,x89381,x89384),x89385),f246(f918(x89381,a905)))
% 28.33/28.22 [9498]P107(f328(f328(f330(f917(x94981,x94981)),f328(f328(f256(x94981,x94981),x94982),x94983)),f308(x94981,x94984)))+~P107(f328(f328(f330(f917(x94981,x94981)),f328(f328(f256(x94981,x94981),x94982),x94985)),f308(x94981,x94984)))+~P107(f328(f328(f330(f917(x94981,x94981)),f328(f328(f256(x94981,x94981),x94985),x94983)),f308(x94981,x94984)))
% 28.33/28.22 [9535]~P109(x95352)+~P107(f328(f139(x95351),x95355))+P107(f328(f139(x95351),f151(x95351,x95352,x95353,x95354,x95355)))
% 28.33/28.22 [5494]~E(x54944,f117(x54941))+~E(x54945,f328(f328(f153(x54941),x54942),x54943))+E(f328(f328(f153(x54941),x54942),x54943),f328(f328(f136(x54941),x54944),x54945))
% 28.33/28.22 [5495]~E(x54954,f117(x54951))+~E(f328(f328(f153(x54951),x54952),x54953),x54955)+E(f328(f328(f153(x54951),x54952),x54953),f328(f328(f136(x54951),x54954),x54955))
% 28.33/28.22 [6631]~E(f328(f191(f912(x66311)),x66315),f328(f191(f912(x66312)),x66314))+E(f328(f328(f156(f917(x66311,x66312),x66312),f260(x66311,x66312)),x66313),x66314)+~E(f328(f328(f183(x66311,x66312),x66315),x66314),x66313)
% 28.33/28.22 [6632]~E(f328(f191(f912(x66321)),x66324),f328(f191(f912(x66322)),x66325))+E(f328(f328(f156(f917(x66321,x66322),x66321),f255(x66321,x66322)),x66323),x66324)+~E(f328(f328(f183(x66321,x66322),x66324),x66325),x66323)
% 28.33/28.22 [7103]~P109(x71031)+~P18(x71031,f328(f328(f156(x71032,x71031),x71033),x71035))+P18(x71031,f328(f328(f156(x71032,x71031),x71033),f328(f138(x71032,x71034),x71035)))
% 28.33/28.22 [7145]~P107(f328(x71453,x71455))+~P107(f328(f328(x71452,x71454),x71455))+P107(f328(f328(f96(x71451,x71452,x71453),x71454),x71455))
% 28.33/28.22 [7242]~P109(x72421)+P18(x72421,f328(f328(f156(x72422,x72421),x72423),f172(x72422,x72424,x72425)))+~P18(x72421,f328(f328(f156(x72422,x72421),x72423),x72425))
% 28.33/28.22 [7265]~P61(x72653,x72652,x72655)+~P61(x72651,x72653,x72654)+P61(x72651,x72652,f328(f328(f290(x72651,x72653,x72652),x72654),x72655))
% 28.33/28.22 [7359]E(x73591,x73592)+~P30(x73593,x73594,x73595,f246(f918(x73593,a905)))+~E(f328(f328(f156(x73593,x73594),x73595),x73591),f328(f328(f156(x73593,x73594),x73595),x73592))
% 28.33/28.22 [7360]E(x73601,x73602)+~P30(x73603,x73604,x73605,f246(f918(x73603,a905)))+~E(f328(f328(f156(x73603,x73604),x73605),x73601),f328(f328(f156(x73603,x73604),x73605),x73602))
% 28.33/28.22 [7441]P47(x74411,x74412,x74413,x74414)+~P47(x74411,x74412,x74415,x74414)+~P107(f328(f328(f239(a911),x74415),x74413))
% 28.33/28.22 [7522]~P107(f328(f328(f240(a911),x75221),f328(x75223,x75225)))+P107(f328(f328(f240(a911),x75221),f157(x75222,x75223,x75224)))+~P107(f328(f328(f330(x75222),x75225),f328(f174(x75222),x75224)))
% 28.33/28.22 [7523]~P107(f328(f328(f239(a911),x75231),f328(x75233,x75235)))+P107(f328(f328(f239(a911),x75231),f157(x75232,x75233,x75234)))+~P107(f328(f328(f330(x75232),x75235),f328(f174(x75232),x75234)))
% 28.33/28.22 [7884]~E(x78843,f2(a911))+P107(f328(x78841,x78842))+~P107(f328(f328(f330(x78844),x78842),f328(f174(x78844),f171(x78844,x78843,x78845))))
% 28.33/28.22 [7899]~E(x78991,f2(a911))+~P107(f328(x78992,x78993))+~P107(f328(f328(f330(x78994),x78993),f328(f174(x78994),f171(x78994,x78991,x78995))))
% 28.33/28.22 [7922]P107(f328(x79221,x79222))+~P107(f328(x79221,x79223))+~P107(f328(f328(f330(x79224),x79222),f328(f174(x79224),f171(x79224,x79225,x79223))))
% 28.33/28.22 [7923]P107(f328(x79231,x79232))+~P107(f328(x79231,x79233))+~P107(f328(f328(f330(x79234),x79233),f328(f174(x79234),f171(x79234,x79235,x79232))))
% 28.33/28.22 [7927]~P111(x79271)+P107(f328(f328(f239(f918(x79271,a905)),f304(x79271,x79272,x79273)),f304(x79271,x79274,x79275)))+P107(f328(f328(f239(x79271),x79272),x79273))
% 28.33/28.22 [7954]~P10(x79541)+P107(f328(f328(f239(x79541),f328(f328(f43(x79542,x79541),x79543),x79544)),f328(x79544,x79545)))+~P107(f328(f328(f330(x79542),x79545),x79543))
% 28.33/28.22 [8021]~P30(x80211,x80212,x80214,x80213)+E(f328(f80(x80211,x80212,x80213,x80214),f328(x80214,x80215)),x80215)+~P107(f328(f328(f330(x80211),x80215),x80213))
% 28.33/28.22 [8022]~P30(x80221,x80222,x80224,x80223)+E(f328(f95(x80221,x80222,x80223,x80224),f328(x80224,x80225)),x80225)+~P107(f328(f328(f330(x80221),x80225),x80223))
% 28.33/28.22 [8230]~P107(f328(x82301,x82305))+P107(f328(x82301,f334(x82301,x82302,x82303,x82304)))+~P107(f328(f328(f330(x82304),x82305),x82303))
% 28.33/28.22 [8231]~P107(f328(x82311,x82315))+P107(f328(x82311,f334(x82311,x82312,x82313,x82314)))+~P107(f328(f328(f330(x82314),x82315),x82312))
% 28.33/28.22 [8322]P107(f328(f64(x83221),x83222))+~P107(f328(f64(x83223),x83224))+~P107(f328(f328(f239(f918(x83221,a905)),x83222),f328(f311(x83223,x83221,x83225),x83224)))
% 28.33/28.22 [8331]~P30(x83314,x83311,x83312,f246(f918(x83314,a905)))+~P107(f328(f328(f330(x83314),x83313),x83315))+P107(f328(f328(f330(x83311),f328(x83312,x83313)),f328(f311(x83314,x83311,x83312),x83315)))
% 28.33/28.22 [8487]E(x84871,x84872)+~P30(x84873,x84874,x84875,f328(f328(f105(f918(x84873,a905)),f328(f174(x84873),x84871)),f328(f174(x84873),x84872)))+~E(f328(f328(f156(x84873,x84874),x84875),x84871),f328(f328(f156(x84873,x84874),x84875),x84872))
% 28.33/28.22 [8488]E(x84881,x84882)+~P30(x84883,x84884,x84885,f328(f328(f105(f918(x84883,a905)),f328(f174(x84883),x84881)),f328(f174(x84883),x84882)))+~E(f328(f328(f156(x84883,x84884),x84885),x84881),f328(f328(f156(x84883,x84884),x84885),x84882))
% 28.33/28.22 [8541]~P111(x85411)+~P107(f328(f328(f240(f918(x85411,a905)),f304(x85411,x85414,x85415)),f304(x85411,x85412,x85413)))+P107(f328(f328(f239(x85411),x85412),x85413))
% 28.33/28.22 [8609]~P30(x86091,x86094,x86095,f246(f918(x86091,a905)))+~P107(f328(f328(f330(x86094),f328(x86095,x86092)),f328(f311(x86091,x86094,x86095),x86093)))+P107(f328(f328(f330(x86091),x86092),x86093))
% 28.33/28.22 [8689]P107(f328(x86891,x86892))+~P107(f328(x86891,f337(x86891,x86893,x86894,x86895)))+~P107(f328(f328(f330(x86895),x86892),x86894))
% 28.33/28.22 [8690]P107(f328(x86901,x86902))+~P107(f328(x86901,f337(x86901,x86903,x86904,x86905)))+~P107(f328(f328(f330(x86905),x86902),x86903))
% 28.33/28.22 [8976]~P30(x89762,x89763,x89761,x89764)+E(f328(x89761,f328(f80(x89762,x89763,x89764,x89761),x89765)),x89765)+~P107(f328(f328(f330(x89763),x89765),f328(f311(x89762,x89763,x89761),x89764)))
% 28.33/28.22 [9080]E(x90801,f117(x90802))+E(f328(f328(f153(x90802),x90803),f562(x90804,x90803,x90805,x90801,x90802)),x90801)+~E(f328(f328(f153(x90802),x90803),x90804),f328(f328(f136(x90802),x90801),x90805))
% 28.33/28.22 [9081]E(x90811,f117(x90812))+E(f328(f328(f153(x90812),x90813),f563(x90814,x90811,x90815,x90813,x90812)),x90811)+~E(f328(f328(f153(x90812),x90813),x90815),f328(f328(f136(x90812),x90811),x90814))
% 28.33/28.22 [9098]E(f328(f328(f153(x90982),x90983),f562(x90984,x90983,x90981,x90985,x90982)),x90985)+~E(f328(f328(f153(x90982),x90983),x90984),f328(f328(f136(x90982),x90985),x90981))+E(x90981,f328(f328(f153(x90982),x90983),x90984))
% 28.33/28.22 [9099]E(f328(f328(f153(x90991),x90992),f563(x90994,x90995,x90993,x90992,x90991)),x90995)+~E(f328(f328(f153(x90991),x90992),x90993),f328(f328(f136(x90991),x90995),x90994))+E(f328(f328(f153(x90991),x90992),x90993),x90994)
% 28.33/28.22 [9176]~E(f328(f311(x91763,x91762,x91764),f246(f918(x91763,a905))),f246(f918(x91762,a905)))+~E(f328(f311(x91761,x91763,x91765),f246(f918(x91761,a905))),f246(f918(x91763,a905)))+E(f328(f311(x91761,x91762,f328(f76(x91763,x91762,x91761,x91764),x91765)),f246(f918(x91761,a905))),f246(f918(x91762,a905)))
% 28.33/28.22 [9541]E(x95411,f117(x95412))+~E(f328(f328(f153(x95412),x95415),x95414),f328(f328(f136(x95412),x95411),x95413))+E(f328(f328(f136(x95412),f563(x95413,x95411,x95414,x95415,x95412)),x95413),x95414)
% 28.33/28.22 [9542]E(x95421,f117(x95422))+~E(f328(f328(f153(x95422),x95424),x95423),f328(f328(f136(x95422),x95421),x95425))+E(f328(f328(f136(x95422),f562(x95423,x95424,x95425,x95421,x95422)),x95425),x95423)
% 28.33/28.22 [9550]E(f328(f328(f136(x95502),f562(x95504,x95503,x95501,x95505,x95502)),x95501),x95504)+~E(f328(f328(f153(x95502),x95503),x95504),f328(f328(f136(x95502),x95505),x95501))+E(x95501,f328(f328(f153(x95502),x95503),x95504))
% 28.33/28.22 [9551]~E(f328(f328(f153(x95511),x95512),x95513),f328(f328(f136(x95511),x95515),x95514))+E(f328(f328(f136(x95511),f563(x95514,x95515,x95513,x95512,x95511)),x95514),x95513)+E(f328(f328(f153(x95511),x95512),x95513),x95514)
% 28.33/28.22 [9552]E(f328(f328(f136(x95521),x95525),f554(x95523,x95522,x95524,x95525,x95521)),x95522)+E(f328(f328(f136(x95521),x95522),f552(x95523,x95522,x95524,x95525,x95521)),x95525)+~E(f328(f328(f136(x95521),x95525),x95524),f328(f328(f136(x95521),x95522),x95523))
% 28.33/28.22 [9588]~P109(x95881)+P18(x95881,f328(f328(f156(x95882,x95881),x95883),f151(x95882,x95881,x95883,x95884,x95885)))+~P18(x95881,f328(f328(f156(x95882,x95881),x95883),x95885))
% 28.33/28.22 [9602]~P65(x96025,x96021,x96024,x96023)+P107(f328(f328(x96021,x96022),f506(x96023,x96024,x96021,x96025,x96022)))+~P107(f328(f328(f330(x96025),x96022),x96024))
% 28.33/28.22 [9603]~P65(x96035,x96031,x96034,x96033)+P107(f328(f328(x96031,x96032),f825(x96033,x96034,x96031,x96035,x96032)))+~P107(f328(f328(f330(x96035),x96032),x96034))
% 28.33/28.22 [9702]~P107(f328(f328(f330(f917(x97021,x97021)),f328(f328(f256(x97021,x97021),x97025),x97023)),f308(x97021,x97024)))+P107(f328(f328(f330(f917(x97021,x97021)),f328(f328(f256(x97021,x97021),x97022),x97023)),f328(f328(f290(x97021,x97021,x97021),x97024),f308(x97021,x97024))))+~P107(f328(f328(f330(f917(x97021,x97021)),f328(f328(f256(x97021,x97021),x97022),x97025)),f328(f328(f290(x97021,x97021,x97021),x97024),f308(x97021,x97024))))
% 28.33/28.22 [9703]~P107(f328(f328(f330(f917(x97031,x97031)),f328(f328(f256(x97031,x97031),x97032),x97035)),f308(x97031,x97034)))+P107(f328(f328(f330(f917(x97031,x97031)),f328(f328(f256(x97031,x97031),x97032),x97033)),f328(f328(f290(x97031,x97031,x97031),x97034),f308(x97031,x97034))))+~P107(f328(f328(f330(f917(x97031,x97031)),f328(f328(f256(x97031,x97031),x97035),x97033)),f328(f328(f290(x97031,x97031,x97031),x97034),f308(x97031,x97034))))
% 28.33/28.22 [9705]P107(f328(f328(f330(f917(f912(x97051),f912(x97051))),f328(f328(f256(f912(x97051),f912(x97051)),x97052),x97053)),f160(x97051,f308(x97051,x97054))))+~P107(f328(f328(f330(f917(f912(x97051),f912(x97051))),f328(f328(f256(f912(x97051),f912(x97051)),x97052),x97055)),f160(x97051,f308(x97051,x97054))))+~P107(f328(f328(f330(f917(f912(x97051),f912(x97051))),f328(f328(f256(f912(x97051),f912(x97051)),x97055),x97053)),f160(x97051,f308(x97051,x97054))))
% 28.33/28.22 [9709]E(f328(f328(f136(x97091),x97092),f552(x97093,x97092,x97094,x97095,x97091)),x97095)+E(f328(f328(f136(x97091),f554(x97093,x97092,x97094,x97095,x97091)),x97093),x97094)+~E(f328(f328(f136(x97091),x97092),x97093),f328(f328(f136(x97091),x97095),x97094))
% 28.33/28.22 [9710]E(f328(f328(f136(x97101),x97102),f554(x97103,x97104,x97105,x97102,x97101)),x97104)+E(f328(f328(f136(x97101),f552(x97103,x97104,x97105,x97102,x97101)),x97105),x97103)+~E(f328(f328(f136(x97101),x97102),x97105),f328(f328(f136(x97101),x97104),x97103))
% 28.33/28.22 [9763]P107(f328(f328(f330(f917(x97631,x97631)),f328(f328(f256(x97631,x97631),x97632),x97633)),f328(f328(f290(x97631,x97631,x97631),x97634),f308(x97631,x97634))))+~P107(f328(f328(f330(f917(x97631,x97631)),f328(f328(f256(x97631,x97631),x97632),x97635)),f328(f328(f290(x97631,x97631,x97631),x97634),f308(x97631,x97634))))+~P107(f328(f328(f330(f917(x97631,x97631)),f328(f328(f256(x97631,x97631),x97635),x97633)),f328(f328(f290(x97631,x97631,x97631),x97634),f308(x97631,x97634))))
% 28.33/28.22 [9790]P40(x97901,x97902,x97903,x97904,x97905)+~E(f328(f191(f912(x97901)),x97904),f328(f191(f912(x97902)),x97905))+~P107(f328(f328(f261(x97901,x97902,a905),x97903),f628(x97905,x97904,x97903,x97902,x97901)))
% 28.33/28.22 [9791]P40(x97911,x97912,x97913,x97914,x97915)+~E(f328(f191(f912(x97911)),x97914),f328(f191(f912(x97912)),x97915))+~P107(f328(f328(f261(x97911,x97912,a905),x97913),f629(x97913,x97915,x97914,x97912,x97911)))
% 28.33/28.22 [9796]E(f328(f328(f136(x97961),f552(x97962,x97963,x97964,x97965,x97961)),x97964),x97962)+~E(f328(f328(f136(x97961),x97963),x97962),f328(f328(f136(x97961),x97965),x97964))+E(f328(f328(f136(x97961),f554(x97962,x97963,x97964,x97965,x97961)),x97962),x97964)
% 28.33/28.22 [9811]~P109(x98112)+E(f328(f328(f150(x98111,x98112,x98113),x98114),x98115),f328(f328(f153(x98111),x98114),x98115))+P107(f328(f328(f330(x98111),f706(x98114,x98113,x98115,x98111,x98112)),f328(f174(x98111),x98115)))
% 28.33/28.22 [9815]~P65(x98151,x98154,x98153,x98152)+~P107(f328(f328(f330(x98151),x98155),x98153))+P107(f328(f328(f330(x98151),f506(x98152,x98153,x98154,x98151,x98155)),x98152))
% 28.33/28.22 [9816]~P65(x98161,x98164,x98163,x98162)+~P107(f328(f328(f330(x98161),x98165),x98163))+P107(f328(f328(f330(x98161),f825(x98162,x98163,x98164,x98161,x98165)),x98162))
% 28.33/28.22 [9930]~P107(f328(f328(f330(f917(f918(x99301,a905),f918(x99301,a905))),f328(f328(f256(f918(x99301,a905),f918(x99301,a905)),x99304),x99303)),f319(x99301,x99302)))+~P107(f328(f328(f330(x99301),x99305),x99304))+P107(f328(f328(f330(x99301),f745(x99302,x99303,x99304,x99301,x99305)),x99303))
% 28.33/28.22 [9941]~P109(x99412)+E(f328(f328(f150(x99411,x99412,x99413),x99414),x99415),f328(f328(f153(x99411),x99414),x99415))+~P107(f328(f328(f239(x99412),f328(x99413,x99414)),f328(x99413,f706(x99414,x99413,x99415,x99411,x99412))))
% 28.33/28.22 [9986]~P30(x99863,x99864,x99865,f246(f918(x99863,a905)))+P107(f328(x99861,x99862))+~P107(f328(x99861,f328(f95(x99863,x99864,f246(f918(x99863,a905)),x99865),f841(x99862,x99861,x99865,x99864,x99863))))
% 28.33/28.22 [10121]P40(x101211,x101212,x101213,x101214,x101215)+~E(f328(f191(f912(x101211)),x101214),f328(f191(f912(x101212)),x101215))+~P107(f328(f328(x101213,f328(f328(f166(x101211),x101214),f630(x101215,x101214,x101213,x101212,x101211))),f328(f328(f166(x101212),x101215),f630(x101215,x101214,x101213,x101212,x101211))))
% 28.33/28.22 [10122]P40(x101221,x101222,x101223,x101224,x101225)+~E(f328(f191(f912(x101221)),x101224),f328(f191(f912(x101222)),x101225))+~P107(f328(f328(x101223,f328(f328(f166(x101221),x101224),f699(x101223,x101225,x101222,x101224,x101221))),f328(f328(f166(x101222),x101225),f699(x101223,x101225,x101222,x101224,x101221))))
% 28.33/28.22 [6705]~P22(x67052,x67055,x67051)+~P107(f328(f64(x67052),x67054))+E(f328(x67051,f328(f328(f310(x67052),x67053),x67054)),f328(f328(f67(x67052,x67052,x67055),x67053),x67054))
% 28.33/28.22 [6706]~E(x67063,x67064)+~E(x67062,x67065)+E(f328(f328(f310(x67061),x67062),f328(f328(f310(x67061),x67063),f190(f918(x67061,a905)))),f328(f328(f310(x67061),x67064),f328(f328(f310(x67061),x67065),f190(f918(x67061,a905)))))
% 28.33/28.22 [6717]P107(f328(x67172,x67175))+E(f179(x67171,x67172,f328(f328(f136(x67171),x67173),x67174)),f179(x67171,x67172,x67173))+~P107(f328(f328(f330(x67171),x67175),f328(f174(x67171),x67173)))
% 28.33/28.22 [6751]E(f328(x67511,x67512),f190(f918(x67513,a905)))+~E(f328(f328(f42(x67514,f918(x67513,a905)),x67515),x67511),f190(f918(x67513,a905)))+~P107(f328(f328(f330(x67514),x67512),x67515))
% 28.33/28.22 [6752]E(f328(x67521,x67522),f246(f918(x67523,a905)))+~E(f328(f328(f43(x67524,f918(x67523,a905)),x67525),x67521),f246(f918(x67523,a905)))+~P107(f328(f328(f330(x67524),x67522),x67525))
% 28.33/28.22 [6753]E(f328(x67531,x67532),f190(f918(x67533,a905)))+~E(f328(f328(f42(x67534,f918(x67533,a905)),x67535),x67531),f190(f918(x67533,a905)))+~P107(f328(f328(f330(x67534),x67532),x67535))
% 28.33/28.22 [6754]E(f328(x67541,x67542),f246(f918(x67543,a905)))+~E(f328(f328(f43(x67544,f918(x67543,a905)),x67545),x67541),f246(f918(x67543,a905)))+~P107(f328(f328(f330(x67544),x67542),x67545))
% 28.33/28.22 [6946]~E(x69464,f328(f328(f136(x69461),x69465),f328(f328(f153(x69461),x69462),x69463)))+P107(f328(f328(f330(x69461),x69462),f328(f174(x69461),x69463)))+P107(f328(f328(f330(x69461),x69462),f328(f174(x69461),x69464)))
% 28.33/28.22 [6947]~E(x69474,f328(f328(f136(x69471),x69473),f328(f328(f153(x69471),x69472),x69475)))+P107(f328(f328(f330(x69471),x69472),f328(f174(x69471),x69473)))+P107(f328(f328(f330(x69471),x69472),f328(f174(x69471),x69474)))
% 28.33/28.22 [7051]~P107(f328(f328(f196(x70511),x70513),x70515))+~P107(f328(f328(f196(x70512),x70515),x70514))+P107(f328(f328(f196(f34(x70511,x70512)),x70513),x70514))
% 28.33/28.22 [7052]~P107(f328(f328(f196(x70521),x70523),x70525))+~P107(f328(f328(f196(x70522),x70525),x70524))+P107(f328(f328(f196(f34(x70521,x70522)),x70523),x70524))
% 28.33/28.22 [7251]~E(x72512,x72514)+~P145(x72511)+E(f328(f328(f83(x72511),f328(f328(f84(x72511),x72512),x72513)),f328(f328(f84(x72511),x72514),x72515)),f328(f328(f83(x72511),f328(f328(f84(x72511),x72512),x72515)),f328(f328(f84(x72511),x72514),x72513)))
% 28.33/28.22 [7252]~E(x72522,x72524)+~P145(x72521)+E(f328(f328(f83(x72521),f328(f328(f84(x72521),x72522),x72523)),f328(f328(f84(x72521),x72524),x72525)),f328(f328(f83(x72521),f328(f328(f84(x72521),x72522),x72525)),f328(f328(f84(x72521),x72524),x72523)))
% 28.33/28.22 [7312]~P10(x73121)+~P107(f328(f328(f330(x73124),x73123),x73125))+P107(f328(f328(f239(x73121),f328(x73122,x73123)),f328(f328(f42(x73124,x73121),x73125),x73122)))
% 28.33/28.22 [7363]~P112(x73631)+P107(f328(f328(f239(x73631),f328(x73632,x73633)),f328(x73634,x73633)))+~P107(f328(f328(f239(f918(x73635,x73631)),x73632),x73634))
% 28.33/28.22 [7364]~P112(x73641)+P107(f328(f328(f239(x73641),f328(x73642,x73643)),f328(x73644,x73643)))+~P107(f328(f328(f239(f918(x73645,x73641)),x73642),x73644))
% 28.33/28.22 [7365]~P112(x73651)+P107(f328(f328(f239(x73651),f328(x73652,x73653)),f328(x73654,x73653)))+~P107(f328(f328(f239(f918(x73655,x73651)),x73652),x73654))
% 28.33/28.22 [7493]E(x74931,x74932)+E(x74933,x74931)+~E(f328(f328(f310(x74934),x74931),f328(f328(f310(x74934),x74935),f190(f918(x74934,a905)))),f328(f328(f310(x74934),x74932),f328(f328(f310(x74934),x74933),f190(f918(x74934,a905)))))
% 28.33/28.22 [7494]E(x74941,x74942)+E(x74943,x74941)+~E(f328(f328(f310(x74944),x74943),f328(f328(f310(x74944),x74942),f190(f918(x74944,a905)))),f328(f328(f310(x74944),x74945),f328(f328(f310(x74944),x74941),f190(f918(x74944,a905)))))
% 28.33/28.22 [7495]E(x74951,x74952)+E(x74951,x74953)+~E(f328(f328(f310(x74954),x74953),f328(f328(f310(x74954),x74952),f190(f918(x74954,a905)))),f328(f328(f310(x74954),x74955),f328(f328(f310(x74954),x74951),f190(f918(x74954,a905)))))
% 28.33/28.22 [7496]E(x74961,x74962)+E(x74961,x74963)+~E(f328(f328(f310(x74964),x74961),f328(f328(f310(x74964),x74965),f190(f918(x74964,a905)))),f328(f328(f310(x74964),x74962),f328(f328(f310(x74964),x74963),f190(f918(x74964,a905)))))
% 28.33/28.22 [8031]P30(x80311,x80312,x80313,x80314)+~P30(x80311,x80312,x80313,x80315)+~P107(f328(f328(f239(f918(x80311,a905)),x80314),x80315))
% 28.33/28.22 [8061]~E(f328(x80613,x80615),x80614)+~P30(x80611,x80612,x80613,f246(f918(x80611,a905)))+E(f328(f95(x80611,x80612,f246(f918(x80611,a905)),x80613),x80614),x80615)
% 28.33/28.22 [8134]P107(f328(x81341,x81342))+~P107(f328(f328(f196(x81344),x81342),x81345))+P107(f328(f328(f196(f31(x81341,x81343,x81344)),x81342),x81345))
% 28.33/28.22 [8135]P107(f328(x81351,x81352))+~P107(f328(f328(f196(x81354),x81352),x81355))+P107(f328(f328(f196(f31(x81351,x81353,x81354)),x81352),x81355))
% 28.33/28.22 [8136]P107(f328(x81361,x81362))+~P107(f328(f328(f196(x81364),x81362),x81365))+P107(f328(f328(f196(f31(x81361,x81363,x81364)),x81362),x81365))
% 28.33/28.22 [8162]~P107(f328(x81621,x81624))+~P107(f328(f328(f196(x81622),x81624),x81625))+P107(f328(f328(f196(f31(x81621,x81622,x81623)),x81624),x81625))
% 28.33/28.22 [8163]~P107(f328(x81631,x81634))+~P107(f328(f328(f196(x81632),x81634),x81635))+P107(f328(f328(f196(f31(x81631,x81632,x81633)),x81634),x81635))
% 28.33/28.22 [8164]~P107(f328(x81641,x81644))+~P107(f328(f328(f196(x81642),x81644),x81645))+P107(f328(f328(f196(f31(x81641,x81642,x81643)),x81644),x81645))
% 28.33/28.22 [8218]E(x82181,x82182)+~E(f328(f311(x82183,x82184,x82185),x82181),f328(f311(x82183,x82184,x82185),x82182))+~P30(x82183,x82184,x82185,f328(f328(f105(f918(x82183,a905)),x82181),x82182))
% 28.33/28.22 [8291]P107(f328(x82912,x82914))+E(f328(f328(f140(x82911),f328(f191(f912(x82911)),f179(x82911,x82912,x82913))),x82913),f328(f328(f153(x82911),x82914),x82915))+~E(f328(f328(f136(x82911),f179(x82911,x82912,x82913)),f328(f328(f153(x82911),x82914),x82915)),x82913)
% 28.33/28.22 [8320]~P30(x83201,x83202,x83203,x83205)+~P30(x83201,x83202,x83203,x83204)+P30(x83201,x83202,x83203,f328(f328(f106(f918(x83201,a905)),x83204),x83205))
% 28.33/28.22 [8428]~P76(x84281)+E(f328(f328(f83(x84281),f328(x84282,x84283)),f328(f167(x84281),f328(f328(f156(x84284,x84281),x84282),f172(x84284,x84283,x84285)))),f328(f167(x84281),f328(f328(f156(x84284,x84281),x84282),x84285)))+~P107(f328(f328(f330(x84284),x84283),f328(f174(x84284),x84285)))
% 28.33/28.22 [8515]~P109(x85151)+~P18(x85151,f328(f328(f156(x85152,x85151),x85153),x85155))+P18(x85151,f328(f328(f156(x85152,x85151),x85153),f328(f328(f150(x85152,x85151,x85153),x85154),x85155)))
% 28.33/28.22 [8592]P107(f328(x85921,x85922))+P107(f328(f328(f196(x85923),x85922),x85924))+~P107(f328(f328(f196(f31(x85921,x85925,x85923)),x85922),x85924))
% 28.33/28.22 [8593]P107(f328(x85931,x85932))+P107(f328(f328(f196(x85933),x85932),x85934))+~P107(f328(f328(f196(f31(x85931,x85935,x85933)),x85932),x85934))
% 28.33/28.22 [8594]P107(f328(x85941,x85942))+P107(f328(f328(f196(x85943),x85942),x85944))+~P107(f328(f328(f196(f31(x85941,x85945,x85943)),x85942),x85944))
% 28.33/28.22 [8605]~P10(x86051)+P107(f328(f328(f239(x86051),f328(f328(f42(x86052,x86051),x86053),x86054)),f328(f328(f42(x86052,x86051),x86055),x86054)))+~P107(f328(f328(f239(f918(x86052,a905)),x86053),x86055))
% 28.33/28.22 [8606]~P10(x86061)+P107(f328(f328(f239(x86061),f328(f328(f43(x86062,x86061),x86063),x86064)),f328(f328(f43(x86062,x86061),x86065),x86064)))+~P107(f328(f328(f239(f918(x86062,a905)),x86065),x86063))
% 28.33/28.22 [8613]~P107(f328(x86134,x86132))+P107(f328(f328(f196(x86131),x86132),x86133))+~P107(f328(f328(f196(f31(x86134,x86131,x86135)),x86132),x86133))
% 28.33/28.22 [8614]~P107(f328(x86144,x86142))+P107(f328(f328(f196(x86141),x86142),x86143))+~P107(f328(f328(f196(f31(x86144,x86141,x86145)),x86142),x86143))
% 28.33/28.22 [8615]~P107(f328(x86154,x86152))+P107(f328(f328(f196(x86151),x86152),x86153))+~P107(f328(f328(f196(f31(x86154,x86151,x86155)),x86152),x86153))
% 28.33/28.22 [8642]~P109(x86423)+P107(f328(f139(x86421),x86422))+~P107(f328(f139(x86421),f328(f328(f150(x86421,x86423,x86424),x86425),x86422)))
% 28.33/28.22 [8650]P107(f328(f328(f196(x86501),x86502),x86503))+P107(f328(f328(f196(x86504),x86502),x86503))+~P107(f328(f328(f196(f31(x86505,x86501,x86504)),x86502),x86503))
% 28.33/28.22 [8651]P107(f328(f328(f196(x86511),x86512),x86513))+P107(f328(f328(f196(x86514),x86512),x86513))+~P107(f328(f328(f196(f31(x86515,x86511,x86514)),x86512),x86513))
% 28.33/28.22 [8652]P107(f328(f328(f196(x86521),x86522),x86523))+P107(f328(f328(f196(x86524),x86522),x86523))+~P107(f328(f328(f196(f31(x86525,x86521,x86524)),x86522),x86523))
% 28.33/28.22 [8786]~P109(x87861)+~P107(f328(f328(f330(x87862),x87863),f328(f174(x87862),x87864)))+~P107(f328(f139(x87862),f328(f328(f150(x87862,x87861,x87865),x87863),x87864)))
% 28.33/28.22 [8870]~P109(x88701)+P18(x88701,f328(f328(f156(x88702,x88701),x88703),x88704))+~P18(x88701,f328(f328(f156(x88702,x88701),x88703),f328(f328(f150(x88702,x88701,x88703),x88705),x88704)))
% 28.33/28.22 [8913]~P30(x89132,x89131,x89134,x89133)+E(f328(f311(x89131,x89132,f95(x89132,x89131,x89133,x89134)),f328(f311(x89132,x89131,x89134),x89135)),x89135)+~P107(f328(f328(f239(f918(x89132,a905)),x89135),x89133))
% 28.33/28.22 [8964]~P109(x89642)+E(f328(f328(f150(x89641,x89642,x89643),x89644),x89645),f151(x89641,x89642,x89643,x89644,x89645))+P107(f328(f328(f330(x89642),f328(x89643,x89644)),f328(f311(x89641,x89642,x89643),f328(f174(x89641),x89645))))
% 28.33/28.22 [9045]~P109(x90452)+E(f151(x90451,x90452,x90453,x90454,x90455),x90455)+~P107(f328(f328(f330(x90452),f328(x90453,x90454)),f328(f311(x90451,x90452,x90453),f328(f174(x90451),x90455))))
% 28.33/28.22 [9061]~P30(x90612,x90611,x90613,x90615)+P107(f328(f328(f240(f918(x90611,a905)),f328(f311(x90612,x90611,x90613),x90614)),f328(f311(x90612,x90611,x90613),x90615)))+~P107(f328(f328(f240(f918(x90612,a905)),x90614),x90615))
% 28.33/28.22 [9090]~P30(x90902,x90901,x90903,f246(f918(x90902,a905)))+P107(f328(f328(f239(f918(x90901,a905)),f328(f311(x90902,x90901,x90903),x90904)),f328(f311(x90902,x90901,x90903),x90905)))+~P107(f328(f328(f239(f918(x90902,a905)),x90904),x90905))
% 28.33/28.22 [9216]~P30(x92161,x92162,x92163,f246(f918(x92161,a905)))+~P107(f328(f328(f239(f918(x92162,a905)),x92164),f328(f311(x92161,x92162,x92163),x92165)))+P107(f328(f328(f239(f918(x92161,a905)),f328(f312(x92161,x92162,x92163),x92164)),x92165))
% 28.33/28.22 [9239]~E(f328(f311(x92393,x92391,x92394),f246(f918(x92393,a905))),f246(f918(x92391,a905)))+P107(f328(f328(f239(f918(x92391,a905)),x92392),f328(f311(x92393,x92391,x92394),x92395)))+~P107(f328(f328(f239(f918(x92393,a905)),f328(f312(x92393,x92391,x92394),x92392)),x92395))
% 28.33/28.22 [9351]~P30(x93511,x93514,x93515,f246(f918(x93511,a905)))+~P107(f328(f328(f239(f918(x93514,a905)),f328(f311(x93511,x93514,x93515),x93512)),f328(f311(x93511,x93514,x93515),x93513)))+P107(f328(f328(f239(f918(x93511,a905)),x93512),x93513))
% 28.33/28.22 [9467]~P79(x94671)+~E(f328(x94673,f664(x94673,x94674,x94675,x94672,x94671)),f2(x94671))+E(f328(f167(x94671),f328(f328(f156(x94672,x94671),x94673),f328(f138(x94672,x94674),x94675))),f328(f167(x94671),f328(f328(f156(x94672,x94671),x94673),x94675)))
% 28.33/28.22 [9645]~P21(x96451,x96452,x96453)+~P107(f328(f64(x96451),x96455))+P107(f328(f69(x96451,x96452,x96453,x96454,x96455),f328(f328(f67(x96451,x96452,x96453),x96454),x96455)))
% 28.33/28.22 [9722]~P31(x97222,x97221,x97224,f246(f918(x97222,a905)),f246(f918(x97221,a905)))+~P31(x97221,x97223,x97225,f246(f918(x97221,a905)),f246(f918(x97223,a905)))+E(f328(f76(x97221,x97222,x97223,f95(x97222,x97221,f246(f918(x97222,a905)),x97224)),f95(x97221,x97223,f246(f918(x97221,a905)),x97225)),f95(x97222,x97223,f246(f918(x97222,a905)),f328(f76(x97221,x97223,x97222,x97225),x97224)))
% 28.33/28.22 [9723]P107(f328(x97231,f779(x97232,x97231,x97233,x97234,x97235)))+~P107(f328(f328(f239(f918(x97235,a905)),x97234),x97233))+P107(f328(f328(f239(f918(x97235,a905)),f328(f328(f106(f918(x97235,a905)),x97234),f328(f266(x97235),x97231))),f328(f328(f106(f918(x97235,a905)),x97233),f328(f266(x97235),x97232))))
% 28.33/28.22 [9737]~P79(x97371)+~P107(f328(x97374,f664(x97373,x97374,x97375,x97372,x97371)))+E(f328(f167(x97371),f328(f328(f156(x97372,x97371),x97373),f328(f138(x97372,x97374),x97375))),f328(f167(x97371),f328(f328(f156(x97372,x97371),x97373),x97375)))
% 28.33/28.22 [9813]~P10(x98135)+P107(f328(f328(f330(x98131),f616(x98132,x98133,x98131,x98134,x98135)),x98133))+P107(f328(f328(f239(x98135),x98134),f328(f328(f43(x98131,x98135),x98133),x98132)))
% 28.33/28.22 [9817]~P79(x98171)+E(f328(f167(x98171),f328(f328(f156(x98172,x98171),x98173),f328(f138(x98172,x98174),x98175))),f328(f167(x98171),f328(f328(f156(x98172,x98171),x98173),x98175)))+P107(f328(f328(f330(x98172),f664(x98173,x98174,x98175,x98172,x98171)),f328(f174(x98172),x98175)))
% 28.33/28.22 [9827]~P107(f328(x98275,f779(x98275,x98273,x98274,x98272,x98271)))+~P107(f328(f328(f239(f918(x98271,a905)),x98272),x98274))+P107(f328(f328(f239(f918(x98271,a905)),f328(f328(f106(f918(x98271,a905)),x98272),f328(f266(x98271),x98273))),f328(f328(f106(f918(x98271,a905)),x98274),f328(f266(x98271),x98275))))
% 28.33/28.22 [9842]~P30(x98425,x98423,x98424,f246(f918(x98425,a905)))+P107(f328(x98421,x98422))+P107(f328(f328(f330(x98423),f841(x98422,x98421,x98424,x98423,x98425)),f328(f311(x98425,x98423,x98424),f246(f918(x98425,a905)))))
% 28.33/28.22 [9864]P40(x98641,x98642,x98643,x98644,x98645)+~E(f328(f191(f912(x98642)),x98645),f328(f191(f912(x98641)),x98644))+P107(f328(f328(f240(a911),f630(x98645,x98644,x98643,x98642,x98641)),f328(f191(f912(x98641)),x98644)))
% 28.33/28.22 [9865]P40(x98651,x98652,x98653,x98654,x98655)+~E(f328(f191(f912(x98652)),x98655),f328(f191(f912(x98651)),x98654))+P107(f328(f328(f240(a911),f699(x98653,x98655,x98652,x98654,x98651)),f328(f191(f912(x98651)),x98654)))
% 28.33/28.22 [9896]P107(f328(f328(f330(x98961),f779(x98962,x98963,x98964,x98965,x98961)),x98965))+~P107(f328(f328(f239(f918(x98961,a905)),x98965),x98964))+P107(f328(f328(f239(f918(x98961,a905)),f328(f328(f106(f918(x98961,a905)),x98965),f328(f266(x98961),x98963))),f328(f328(f106(f918(x98961,a905)),x98964),f328(f266(x98961),x98962))))
% 28.33/28.22 [9942]~P10(x99421)+~P107(f328(f328(f239(x99421),x99422),f328(x99425,f616(x99425,x99424,x99423,x99422,x99421))))+P107(f328(f328(f239(x99421),x99422),f328(f328(f43(x99423,x99421),x99424),x99425)))
% 28.33/28.22 [9976]~P78(x99761)+~P107(f328(f64(x99762),x99765))+E(f328(f328(f328(f68(x99761,x99762,f84(x99761)),f328(f328(f20(x99762,x99761,x99761),f328(f328(f10(x99761,f918(x99761,x99761),x99762),f84(x99761)),x99763)),x99764)),f81(x99761)),x99765),f328(f328(f84(x99761),f328(f328(f328(f68(x99761,x99762,f84(x99761)),x99763),f81(x99761)),x99765)),f328(f328(f328(f68(x99761,x99762,f84(x99761)),x99764),f81(x99761)),x99765)))
% 28.33/28.22 [10030]~P107(f328(f328(f330(f917(f918(x100301,a905),f918(x100301,a905))),f328(f328(f256(f918(x100301,a905),f918(x100301,a905)),x100305),x100304)),f319(x100301,x100303)))+~P107(f328(f328(f330(x100301),x100302),x100305))+P107(f328(f328(f330(f917(x100301,x100301)),f328(f328(f256(x100301,x100301),x100302),f745(x100303,x100304,x100305,x100301,x100302))),x100303))
% 28.33/28.22 [10153]~P107(f328(f328(f330(f917(f912(x101531),f912(x101531))),f328(f328(f256(f912(x101531),f912(x101531)),f328(f328(f136(x101531),x101535),x101532)),f328(f328(f136(x101531),x101535),x101533))),f149(x101531,x101534)))+P107(f328(f328(f330(f917(f912(x101531),f912(x101531))),f328(f328(f256(f912(x101531),f912(x101531)),x101532),x101533)),f149(x101531,x101534)))+P107(f328(f328(f330(f917(x101531,x101531)),f328(f328(f256(x101531,x101531),f568(x101534,x101533,x101532,x101535,x101531)),f568(x101534,x101533,x101532,x101535,x101531))),x101534))
% 28.33/28.22 [7368]~E(x73683,x73685)+E(f328(f328(f166(x73681),f328(f328(f161(x73681,x73682),x73683),x73684)),x73685),x73684)+~P107(f328(f328(f240(a911),x73683),f328(f191(f912(x73681)),x73682)))
% 28.33/28.22 [7490]~E(f328(f328(f136(x74901),x74902),x74904),f328(f328(f136(x74901),x74903),x74905))+E(f328(f328(f177(x74901),f328(f191(f912(x74901)),x74902)),x74903),x74902)+P107(f328(f328(f239(a911),f328(f191(f912(x74901)),x74903)),f328(f191(f912(x74901)),x74902)))
% 28.33/28.22 [7491]E(x74911,x74912)+E(f328(f328(f166(x74913),f328(f328(f161(x74913,x74914),x74911),x74915)),x74912),f328(f328(f166(x74913),x74914),x74912))+~P107(f328(f328(f240(a911),x74911),f328(f191(f912(x74913)),x74914)))
% 28.33/28.22 [7992]~E(f328(f328(f136(x79921),x79922),x79924),f328(f328(f136(x79921),x79923),x79925))+E(f328(f328(f177(x79921),f328(f191(f912(x79921)),x79922)),x79923),x79922)+~P107(f328(f328(f239(a911),f328(f191(f912(x79921)),x79922)),f328(f191(f912(x79921)),x79923)))
% 28.33/28.22 [8016]~P107(f328(f64(x80161),f328(x80164,x80165)))+~P107(f328(f328(f330(x80162),x80165),x80163))+P107(f328(f64(x80161),f328(f328(f43(x80162,f918(x80161,a905)),x80163),x80164)))
% 28.33/28.22 [8201]~P59(x82011,x82013,x82015)+~P59(x82011,x82012,x82014)+P59(x82011,f328(f328(f105(f918(x82011,a905)),x82012),x82013),f328(f328(f105(f918(f917(x82011,x82011),a905)),x82014),x82015))
% 28.33/28.22 [8202]~P59(x82021,x82023,x82025)+~P59(x82021,x82022,x82024)+P59(x82021,f328(f328(f106(f918(x82021,a905)),x82022),x82023),f328(f328(f106(f918(f917(x82021,x82021),a905)),x82024),x82025))
% 28.33/28.22 [8556]E(f328(f328(f256(x85561,x85562),f328(f328(f166(x85561),x85563),x85564)),f328(f328(f166(x85562),x85565),x85564)),f328(f328(f166(f917(x85561,x85562)),f328(f328(f183(x85561,x85562),x85563),x85565)),x85564))+~P107(f328(f328(f240(a911),x85564),f328(f191(f912(x85561)),x85563)))+~P107(f328(f328(f240(a911),x85564),f328(f191(f912(x85562)),x85565)))
% 28.33/28.22 [8717]~P59(x87171,x87173,x87174)+P107(f328(f328(f330(x87171),x87172),x87173))+~P107(f328(f328(f330(f917(x87171,x87171)),f328(f328(f256(x87171,x87171),x87175),x87172)),x87174))
% 28.33/28.22 [8718]~P59(x87181,x87183,x87184)+P107(f328(f328(f330(x87181),x87182),x87183))+~P107(f328(f328(f330(f917(x87181,x87181)),f328(f328(f256(x87181,x87181),x87182),x87185)),x87184))
% 28.33/28.22 [8719]~P13(x87191,x87193,x87194)+P107(f328(f328(f330(x87191),x87192),x87193))+~P107(f328(f328(f330(f917(x87191,x87191)),f328(f328(f256(x87191,x87191),x87195),x87192)),x87194))
% 28.33/28.22 [8720]~P13(x87201,x87203,x87204)+P107(f328(f328(f330(x87201),x87202),x87203))+~P107(f328(f328(f330(f917(x87201,x87201)),f328(f328(f256(x87201,x87201),x87202),x87205)),x87204))
% 28.33/28.22 [8986]~P13(x89861,x89865,x89862)+E(f328(f287(x89861,x89861,x89862),f328(f328(f310(x89861),x89863),f190(f918(x89861,a905)))),f328(f287(x89861,x89861,x89862),f328(f328(f310(x89861),x89864),f190(f918(x89861,a905)))))+~P107(f328(f328(f330(f917(x89861,x89861)),f328(f328(f256(x89861,x89861),x89863),x89864)),x89862))
% 28.33/28.22 [8987]~P13(x89871,x89875,x89872)+E(f328(f287(x89871,x89871,x89872),f328(f328(f310(x89871),x89873),f190(f918(x89871,a905)))),f328(f287(x89871,x89871,x89872),f328(f328(f310(x89871),x89874),f190(f918(x89871,a905)))))+~P107(f328(f328(f330(f917(x89871,x89871)),f328(f328(f256(x89871,x89871),x89873),x89874)),x89872))
% 28.33/28.22 [9173]P107(f328(x91731,x91732))+~P107(f328(f328(f330(x91733),x91732),x91735))+P107(f328(f328(f330(x91733),f337(x91731,x91734,x91735,x91733)),f328(f328(f105(f918(x91733,a905)),x91735),x91734)))
% 28.33/28.22 [9174]P107(f328(x91741,x91742))+~P107(f328(f328(f330(x91743),x91742),x91744))+P107(f328(f328(f330(x91743),f337(x91741,x91744,x91745,x91743)),f328(f328(f105(f918(x91743,a905)),x91745),x91744)))
% 28.33/28.22 [9182]~P107(f328(x91822,x91825))+~P107(f328(f328(f330(x91821),x91825),x91824))+P107(f328(f328(f330(x91821),f334(x91822,x91823,x91824,x91821)),f328(f328(f105(f918(x91821,a905)),x91824),x91823)))
% 28.33/28.22 [9183]~P107(f328(x91832,x91835))+~P107(f328(f328(f330(x91831),x91835),x91833))+P107(f328(f328(f330(x91831),f334(x91832,x91833,x91834,x91831)),f328(f328(f105(f918(x91831,a905)),x91834),x91833)))
% 28.33/28.22 [9198]~P107(f328(f328(f239(f918(x91981,a905)),x91985),x91983))+~P107(f328(f328(f239(f918(x91981,a905)),x91982),x91984))+P107(f328(f328(f239(f918(x91981,a905)),f328(f328(f3(f918(x91981,a905)),x91982),x91983)),f328(f328(f3(f918(x91981,a905)),x91984),x91985)))
% 28.33/28.22 [9199]~P107(f328(f328(f239(f918(x91991,a905)),x91993),x91995))+~P107(f328(f328(f239(f918(x91991,a905)),x91992),x91994))+P107(f328(f328(f239(f918(x91991,a905)),f328(f328(f105(f918(x91991,a905)),x91992),x91993)),f328(f328(f105(f918(x91991,a905)),x91994),x91995)))
% 28.33/28.22 [9200]~P107(f328(f328(f239(f918(x92001,a905)),x92003),x92005))+~P107(f328(f328(f239(f918(x92001,a905)),x92002),x92004))+P107(f328(f328(f239(f918(x92001,a905)),f328(f328(f106(f918(x92001,a905)),x92002),x92003)),f328(f328(f106(f918(x92001,a905)),x92004),x92005)))
% 28.33/28.22 [9300]P107(f328(f328(f330(f917(x93001,x93001)),f328(f328(f256(x93001,x93001),x93002),x93003)),f322(x93001,x93004,x93005)))+~P107(f328(f328(f239(a911),f328(x93004,x93002)),f328(x93004,x93003)))+~P107(f328(f328(f330(f917(x93001,x93001)),f328(f328(f256(x93001,x93001),x93002),x93003)),x93005))
% 28.33/28.22 [9477]P107(f328(f328(f330(f917(x94771,x94771)),f328(f328(f256(x94771,x94771),x94772),x94773)),f308(x94771,x94774)))+~P107(f328(f328(f330(f917(x94771,x94771)),f328(f328(f256(x94771,x94771),x94772),x94775)),f308(x94771,x94774)))+~P107(f328(f328(f330(f917(x94771,x94771)),f328(f328(f256(x94771,x94771),x94775),x94773)),x94774))
% 28.33/28.22 [9478]P107(f328(f328(f330(f917(x94781,x94781)),f328(f328(f256(x94781,x94781),x94782),x94783)),f308(x94781,x94784)))+~P107(f328(f328(f330(f917(x94781,x94781)),f328(f328(f256(x94781,x94781),x94785),x94783)),f308(x94781,x94784)))+~P107(f328(f328(f330(f917(x94781,x94781)),f328(f328(f256(x94781,x94781),x94782),x94785)),x94784))
% 28.33/28.22 [9575]E(x95751,x95752)+E(f328(a116,f898(x95753,x95754,x95751,x95752,x95755)),x95754)+~P107(f328(f328(f330(f917(x95755,x95755)),f328(f328(f256(x95755,x95755),x95752),x95751)),f328(f328(f185(f917(x95755,x95755),a905),x95754),x95753)))
% 28.33/28.22 [9576]E(x95761,x95762)+E(f328(a116,f900(x95763,x95764,x95761,x95762,x95765)),x95764)+~P107(f328(f328(f330(f917(x95765,x95765)),f328(f328(f256(x95765,x95765),x95762),x95761)),f328(f328(f185(f917(x95765,x95765),a905),x95764),x95763)))
% 28.33/28.22 [9577]E(x95771,f2(a911))+E(f328(a116,f898(x95772,x95771,x95773,x95774,x95775)),x95771)+~P107(f328(f328(f330(f917(x95775,x95775)),f328(f328(f256(x95775,x95775),x95774),x95773)),f328(f328(f185(f917(x95775,x95775),a905),x95771),x95772)))
% 28.33/28.22 [9578]E(x95781,f2(a911))+E(f328(a116,f900(x95782,x95781,x95783,x95784,x95785)),x95781)+~P107(f328(f328(f330(f917(x95785,x95785)),f328(f328(f256(x95785,x95785),x95784),x95783)),f328(f328(f185(f917(x95785,x95785),a905),x95781),x95782)))
% 28.33/28.22 [9599]P107(f328(f328(f330(f917(x95991,x95991)),f328(f328(f256(x95991,x95991),x95992),x95993)),f328(f328(f290(x95991,x95991,x95991),x95994),f308(x95991,x95994))))+~P107(f328(f328(f330(f917(x95991,x95991)),f328(f328(f256(x95991,x95991),x95992),x95995)),x95994))+~P107(f328(f328(f330(f917(x95991,x95991)),f328(f328(f256(x95991,x95991),x95995),x95993)),x95994))
% 28.33/28.22 [9606]~P107(f328(f328(f330(f917(x96061,x96061)),f328(f328(f256(x96061,x96061),x96062),x96065)),f308(x96061,x96064)))+P107(f328(f328(f330(f917(x96061,x96061)),f328(f328(f256(x96061,x96061),x96062),x96063)),f328(f328(f290(x96061,x96061,x96061),x96064),f308(x96061,x96064))))+~P107(f328(f328(f330(f917(x96061,x96061)),f328(f328(f256(x96061,x96061),x96065),x96063)),x96064))
% 28.33/28.22 [9607]~P107(f328(f328(f330(f917(x96071,x96071)),f328(f328(f256(x96071,x96071),x96075),x96073)),f308(x96071,x96074)))+P107(f328(f328(f330(f917(x96071,x96071)),f328(f328(f256(x96071,x96071),x96072),x96073)),f328(f328(f290(x96071,x96071,x96071),x96074),f308(x96071,x96074))))+~P107(f328(f328(f330(f917(x96071,x96071)),f328(f328(f256(x96071,x96071),x96072),x96075)),x96074))
% 28.33/28.22 [9641]~P13(x96411,x96415,x96412)+~P107(f328(f328(f330(f917(x96411,x96411)),f328(f328(f256(x96411,x96411),x96413),x96414)),x96412))+P107(f328(f328(f239(f918(x96411,a905)),f328(f287(x96411,x96411,x96412),f328(f328(f310(x96411),x96413),f190(f918(x96411,a905))))),f328(f287(x96411,x96411,x96412),f328(f328(f310(x96411),x96414),f190(f918(x96411,a905))))))
% 28.33/28.22 [9695]P107(f328(f328(f330(f917(x96951,x96951)),f328(f328(f256(x96951,x96951),x96952),x96953)),f328(f328(f290(x96951,x96951,x96951),x96954),f308(x96951,x96954))))+~P107(f328(f328(f330(f917(x96951,x96951)),f328(f328(f256(x96951,x96951),x96952),x96955)),f328(f328(f290(x96951,x96951,x96951),x96954),f308(x96951,x96954))))+~P107(f328(f328(f330(f917(x96951,x96951)),f328(f328(f256(x96951,x96951),x96955),x96953)),x96954))
% 28.33/28.22 [9696]P107(f328(f328(f330(f917(x96961,x96961)),f328(f328(f256(x96961,x96961),x96962),x96963)),f328(f328(f290(x96961,x96961,x96961),x96964),f308(x96961,x96964))))+~P107(f328(f328(f330(f917(x96961,x96961)),f328(f328(f256(x96961,x96961),x96965),x96963)),f328(f328(f290(x96961,x96961,x96961),x96964),f308(x96961,x96964))))+~P107(f328(f328(f330(f917(x96961,x96961)),f328(f328(f256(x96961,x96961),x96962),x96965)),x96964))
% 28.33/28.22 [9746]~P107(f328(f69(x97461,x97461,x97464,x97462,x97463),x97465))+P107(f328(f328(f330(x97461),x97462),x97463))+P107(f328(f65(x97461,x97464,f328(f328(f310(x97461),x97462),x97463)),x97465))
% 28.33/28.22 [9783]~E(f328(f311(x97833,x97832,x97835),x97834),x97831)+E(x97831,f190(f918(x97832,a905)))+P107(f328(f328(f239(f918(x97833,a905)),f328(f311(x97832,x97833,f468(x97834,x97833,x97832,x97831)),x97831)),x97834))
% 28.33/28.22 [9830]~P10(x98305)+P107(f328(f328(f330(x98301),f398(x98302,x98303,x98304,x98301,x98305)),x98304))+P107(f328(f328(f239(x98305),f328(f328(f42(x98301,x98305),x98304),x98303)),x98302))
% 28.33/28.22 [9883]P40(x98831,x98832,x98833,x98834,x98835)+~E(f328(f191(f912(x98831)),x98834),f328(f191(f912(x98832)),x98835))+P107(f328(f328(f330(f917(x98831,x98832)),f628(x98835,x98834,x98833,x98832,x98831)),f328(f174(f917(x98831,x98832)),f328(f328(f183(x98831,x98832),x98834),x98835))))
% 28.33/28.22 [9884]P40(x98841,x98842,x98843,x98844,x98845)+~E(f328(f191(f912(x98841)),x98844),f328(f191(f912(x98842)),x98845))+P107(f328(f328(f330(f917(x98841,x98842)),f629(x98843,x98845,x98844,x98842,x98841)),f328(f174(f917(x98841,x98842)),f328(f328(f183(x98841,x98842),x98844),x98845))))
% 28.33/28.22 [10009]E(x100091,x100092)+P107(f328(f328(f330(f917(x100093,x100093)),f328(f328(f256(x100093,x100093),x100091),f901(x100094,x100095,x100092,x100091,x100093))),x100094))+~P107(f328(f328(f330(f917(x100093,x100093)),f328(f328(f256(x100093,x100093),x100091),x100092)),f328(f328(f185(f917(x100093,x100093),a905),x100095),x100094)))
% 28.33/28.22 [10010]E(x100101,f2(a911))+P107(f328(f328(f330(f917(x100102,x100102)),f328(f328(f256(x100102,x100102),x100103),f901(x100104,x100101,x100105,x100103,x100102))),x100104))+~P107(f328(f328(f330(f917(x100102,x100102)),f328(f328(f256(x100102,x100102),x100103),x100105)),f328(f328(f185(f917(x100102,x100102),a905),x100101),x100104)))
% 28.33/28.22 [10050]~P10(x100501)+~P107(f328(f328(f239(x100501),f328(x100504,f398(x100505,x100504,x100503,x100502,x100501))),x100505))+P107(f328(f328(f239(x100501),f328(f328(f42(x100502,x100501),x100503),x100504)),x100505))
% 28.33/28.22 [10091]E(x100911,x100912)+P107(f328(f328(f330(f917(x100913,x100913)),f328(f328(f256(x100913,x100913),f899(x100914,x100915,x100911,x100912,x100913)),x100911)),x100914))+~P107(f328(f328(f330(f917(x100913,x100913)),f328(f328(f256(x100913,x100913),x100912),x100911)),f328(f328(f185(f917(x100913,x100913),a905),x100915),x100914)))
% 28.33/28.22 [10092]E(x100921,f2(a911))+P107(f328(f328(f330(f917(x100922,x100922)),f328(f328(f256(x100922,x100922),f899(x100923,x100921,x100924,x100925,x100922)),x100924)),x100923))+~P107(f328(f328(f330(f917(x100922,x100922)),f328(f328(f256(x100922,x100922),x100925),x100924)),f328(f328(f185(f917(x100922,x100922),a905),x100921),x100923)))
% 28.33/28.22 [10096]E(x100961,x100962)+P107(f328(f328(f330(f917(x100963,x100963)),f328(f328(f256(x100963,x100963),x100961),f899(x100964,x100965,x100962,x100961,x100963))),f328(f328(f185(f917(x100963,x100963),a905),f898(x100964,x100965,x100962,x100961,x100963)),x100964)))+~P107(f328(f328(f330(f917(x100963,x100963)),f328(f328(f256(x100963,x100963),x100961),x100962)),f328(f328(f185(f917(x100963,x100963),a905),x100965),x100964)))
% 28.33/28.22 [10097]E(x100971,f2(a911))+P107(f328(f328(f330(f917(x100972,x100972)),f328(f328(f256(x100972,x100972),x100973),f899(x100974,x100971,x100975,x100973,x100972))),f328(f328(f185(f917(x100972,x100972),a905),f898(x100974,x100971,x100975,x100973,x100972)),x100974)))+~P107(f328(f328(f330(f917(x100972,x100972)),f328(f328(f256(x100972,x100972),x100973),x100975)),f328(f328(f185(f917(x100972,x100972),a905),x100971),x100974)))
% 28.33/28.22 [10144]E(x101441,x101442)+P107(f328(f328(f330(f917(x101443,x101443)),f328(f328(f256(x101443,x101443),f901(x101444,x101445,x101441,x101442,x101443)),x101441)),f328(f328(f185(f917(x101443,x101443),a905),f900(x101444,x101445,x101441,x101442,x101443)),x101444)))+~P107(f328(f328(f330(f917(x101443,x101443)),f328(f328(f256(x101443,x101443),x101442),x101441)),f328(f328(f185(f917(x101443,x101443),a905),x101445),x101444)))
% 28.33/28.22 [10145]E(x101451,f2(a911))+P107(f328(f328(f330(f917(x101452,x101452)),f328(f328(f256(x101452,x101452),f901(x101453,x101451,x101454,x101455,x101452)),x101454)),f328(f328(f185(f917(x101452,x101452),a905),f900(x101453,x101451,x101454,x101455,x101452)),x101453)))+~P107(f328(f328(f330(f917(x101452,x101452)),f328(f328(f256(x101452,x101452),x101455),x101454)),f328(f328(f185(f917(x101452,x101452),a905),x101451),x101453)))
% 28.33/28.22 [10180]~P76(x101802)+~P107(f328(f64(x101801),x101805))+E(f328(f328(f8(x101801,x101802),f328(f328(f9(x101801,x101802,x101802),f328(f328(f20(x101801,x101802,f918(x101802,x101802)),f328(f328(f10(a905,f918(x101802,f918(x101802,x101802)),x101801),f100(x101802)),f328(f328(f9(x101801,f918(x101801,a905),a905),f330(x101801)),x101803))),x101804)),f2(x101802))),x101805),f328(f328(f8(x101801,x101802),x101804),f328(f328(f106(f918(x101801,a905)),x101805),x101803)))
% 28.33/28.22 [8783]~P78(x87831)+~P107(f328(f64(x87834),x87835))+E(f328(f328(f84(x87831),f328(x87832,x87833)),f328(f328(f11(x87834,x87831),x87832),f328(f328(f3(f918(x87834,a905)),x87835),f328(f328(f310(x87834),x87833),f190(f918(x87834,a905)))))),f328(f328(f11(x87834,x87831),x87832),f328(f328(f310(x87834),x87833),x87835)))
% 28.33/28.22 [8784]~P76(x87841)+~P107(f328(f64(x87844),x87845))+E(f328(f328(f83(x87841),f328(x87842,x87843)),f328(f328(f8(x87844,x87841),x87842),f328(f328(f3(f918(x87844,a905)),x87845),f328(f328(f310(x87844),x87843),f190(f918(x87844,a905)))))),f328(f328(f8(x87844,x87841),x87842),f328(f328(f310(x87844),x87843),x87845)))
% 28.33/28.22 [9104]~P109(x91042)+~P18(x91042,f328(f170(x91042),f328(f328(f156(x91041,x91042),x91044),x91045)))+E(f328(f138(x91041,f328(f328(f10(x91042,a905,x91041),f328(f240(x91042),x91043)),x91044)),x91045),f179(x91041,f328(f328(f10(x91042,a905,x91041),f328(f240(x91042),x91043)),x91044),x91045))
% 28.33/28.22 [9128]~P76(x91281)+E(f328(f328(f83(x91281),f328(f328(f8(a911,x91281),x91282),f304(a911,x91283,x91284))),f328(f328(f8(a911,x91281),x91282),f304(a911,f328(f328(f83(a911),x91284),f81(a911)),f328(f328(f83(a911),x91284),x91285)))),f328(f328(f8(a911,x91281),x91282),f304(a911,x91283,f328(f328(f83(a911),x91284),x91285))))+~P107(f328(f328(f239(a911),x91283),f328(f328(f83(a911),x91284),f81(a911))))
% 28.33/28.22 [9129]~P107(f328(f328(f330(x91291),x91294),x91295))+~P107(f328(f328(f239(f918(x91291,a905)),f328(f174(x91291),x91292)),x91295))+P107(f328(f328(f239(f918(x91291,a905)),f328(f174(x91291),f328(f328(f161(x91291,x91292),x91293),x91294))),x91295))
% 28.33/28.22 [9358]~P10(x93582)+~P107(f328(f64(x93581),x93585))+E(f328(f328(f67(x93581,x93582,f328(f328(f10(x93582,f918(x93582,x93582),x93581),f105(x93582)),x93583)),x93584),x93585),f328(f328(f105(x93582),x93584),f328(f328(f42(x93581,x93582),x93585),x93583)))
% 28.33/28.22 [9359]~P10(x93592)+~P107(f328(f64(x93591),x93595))+E(f328(f328(f67(x93591,x93592,f328(f328(f10(x93592,f918(x93592,x93592),x93591),f106(x93592)),x93593)),x93594),x93595),f328(f328(f106(x93592),x93594),f328(f328(f43(x93591,x93592),x93595),x93593)))
% 28.33/28.22 [9404]E(f328(x94041,x94042),f328(x94041,x94043))+P107(f328(f328(f240(a911),f328(x94041,x94042)),f328(x94041,x94043)))+~P107(f328(f328(f330(f917(x94044,x94044)),f328(f328(f256(x94044,x94044),x94042),x94043)),f155(x94044,f328(f328(f153(f918(x94044,a911)),x94041),x94045))))
% 28.33/28.22 [9436]~E(f328(x94364,x94362),f328(x94364,x94363))+~P107(f328(f328(f330(f917(x94361,x94361)),f328(f328(f256(x94361,x94361),x94362),x94363)),f155(x94361,x94365)))+P107(f328(f328(f330(f917(x94361,x94361)),f328(f328(f256(x94361,x94361),x94362),x94363)),f155(x94361,f328(f328(f153(f918(x94361,a911)),x94364),x94365))))
% 28.33/28.22 [9455]~P30(x94551,x94552,x94553,x94555)+P30(x94551,x94552,x94553,f328(f328(f310(x94551),x94554),x94555))+P107(f328(f328(f330(x94552),f328(x94553,x94554)),f328(f311(x94551,x94552,x94553),f328(f328(f3(f918(x94551,a905)),x94555),f328(f328(f310(x94551),x94554),f190(f918(x94551,a905)))))))
% 28.33/28.22 [9458]P107(f328(x94582,x94585))+~P107(f328(f328(f330(x94581),x94585),f328(f174(x94581),x94583)))+E(f328(f328(f140(x94581),f328(f191(f912(x94581)),f179(x94581,x94582,f328(f328(f136(x94581),x94583),x94584)))),f328(f328(f136(x94581),x94583),x94584)),f328(f328(f136(x94581),f328(f328(f140(x94581),f328(f191(f912(x94581)),f179(x94581,x94582,x94583))),x94583)),x94584))
% 28.33/28.22 [9463]~P107(f328(f328(f330(f917(x94631,x94631)),f328(f328(f256(x94631,x94631),x94632),x94633)),f155(x94631,x94635)))+~P107(f328(f328(f239(a911),f328(x94634,x94632)),f328(x94634,x94633)))+P107(f328(f328(f330(f917(x94631,x94631)),f328(f328(f256(x94631,x94631),x94632),x94633)),f155(x94631,f328(f328(f153(f918(x94631,a911)),x94634),x94635))))
% 28.33/28.22 [9526]P107(f328(f328(f330(f917(x95264,x95264)),f328(f328(f256(x95264,x95264),x95262),x95263)),f155(x95264,x95265)))+P107(f328(f328(f240(a911),f328(x95261,x95262)),f328(x95261,x95263)))+~P107(f328(f328(f330(f917(x95264,x95264)),f328(f328(f256(x95264,x95264),x95262),x95263)),f155(x95264,f328(f328(f153(f918(x95264,a911)),x95261),x95265))))
% 28.33/28.22 [9668]~P107(f328(f328(f330(f917(f912(x96681),f912(x96681))),f328(f328(f256(f912(x96681),f912(x96681)),x96682),x96684)),f160(x96681,x96685)))+~P107(f328(f328(f240(a911),x96683),f328(f191(f912(x96681)),x96682)))+P107(f328(f328(f330(f917(x96681,x96681)),f328(f328(f256(x96681,x96681),f328(f328(f166(x96681),x96682),x96683)),f328(f328(f166(x96681),x96684),x96683))),x96685))
% 28.33/28.22 [9905]E(x99051,f2(a1))+~P107(f328(f52(x99053,x99051),f328(f328(f256(a1,a1),x99054),x99055)))+P107(f328(f52(f328(f328(f84(a1),x99052),x99053),x99051),f328(f328(f256(a1,a1),f328(f328(f83(a1),f328(f328(f84(a1),x99052),x99054)),f328(f328(f39(a1),f328(f328(f84(a1),x99052),x99055)),x99051))),f48(a1,f328(f328(f84(a1),x99052),x99055),x99051))))
% 28.33/28.22 [9909]~P107(f328(f328(f240(a911),f2(a911)),x99093))+~P107(f328(f51(x99092,x99093),f328(f328(f256(a911,a911),x99094),x99095)))+P107(f328(f51(f328(f328(f84(a911),x99091),x99092),x99093),f328(f328(f256(a911,a911),f328(f328(f83(a911),f328(f328(f84(a911),x99091),x99094)),f328(f328(f39(a911),f328(f328(f84(a911),x99091),x99095)),x99093))),f48(a911,f328(f328(f84(a911),x99091),x99095),x99093))))
% 28.33/28.22 [10203]~P76(x102032)+~P107(f328(f64(x102031),x102034))+E(f328(f328(f8(x102031,x102032),x102033),f328(f266(x102031),f328(f328(f20(x102031,a905,a905),f328(f328(f10(a905,f918(a905,a905),x102031),a326),f328(f328(f9(x102031,f918(x102031,a905),a905),f330(x102031)),x102034))),f328(f328(f9(x102031,f918(x102031,a905),a905),f330(x102031)),x102035)))),f328(f328(f8(x102031,x102032),f328(f328(f9(x102031,x102032,x102032),f328(f328(f20(x102031,x102032,f918(x102032,x102032)),f328(f328(f10(a905,f918(x102032,f918(x102032,x102032)),x102031),f100(x102032)),f328(f328(f9(x102031,f918(x102031,a905),a905),f330(x102031)),x102035))),x102033)),f2(x102032))),x102034))
% 28.33/28.22 [8407]~E(f328(f328(f136(x84071),x84072),x84075),f328(f328(f136(x84071),x84073),x84074))+E(f328(f328(f136(x84071),f328(f328(f140(x84071),f328(f191(f912(x84071)),x84072)),x84073)),x84074),x84075)+P107(f328(f328(f239(a911),f328(f191(f912(x84071)),x84073)),f328(f191(f912(x84071)),x84072)))
% 28.33/28.22 [8608]~E(f328(f328(f136(x86082),x86083),x86081),f328(f328(f136(x86082),x86084),x86085))+E(x86081,f328(f328(f136(x86082),f328(f328(f140(x86082),f328(f191(f912(x86082)),x86083)),x86084)),x86085))+~P107(f328(f328(f239(a911),f328(f191(f912(x86082)),x86083)),f328(f191(f912(x86082)),x86084)))
% 28.33/28.22 [8700]~E(f328(f328(f83(a911),f328(f328(f84(a911),x87003),x87004)),x87001),f328(f328(f83(a911),f328(f328(f84(a911),x87002),x87004)),x87005))+~P107(f328(f328(f239(a911),x87003),x87002))+E(x87001,f328(f328(f83(a911),f328(f328(f84(a911),f328(f328(f3(a911),x87002),x87003)),x87004)),x87005))
% 28.33/28.22 [8701]~E(f328(f328(f83(a911),f328(f328(f84(a911),x87011),x87013)),x87014),f328(f328(f83(a911),f328(f328(f84(a911),x87012),x87013)),x87015))+~P107(f328(f328(f239(a911),x87012),x87011))+E(f328(f328(f83(a911),f328(f328(f84(a911),f328(f328(f3(a911),x87011),x87012)),x87013)),x87014),x87015)
% 28.33/28.22 [8863]E(f328(f328(f83(a911),f328(f328(f84(a911),x88631),x88632)),x88633),f328(f328(f83(a911),f328(f328(f84(a911),x88634),x88632)),x88635))+~P107(f328(f328(f239(a911),x88634),x88631))+~E(x88635,f328(f328(f83(a911),f328(f328(f84(a911),f328(f328(f3(a911),x88631),x88634)),x88632)),x88633))
% 28.33/28.22 [8864]E(f328(f328(f83(a911),f328(f328(f84(a911),x88641),x88642)),x88643),f328(f328(f83(a911),f328(f328(f84(a911),x88644),x88642)),x88645))+~P107(f328(f328(f239(a911),x88644),x88641))+~E(f328(f328(f83(a911),f328(f328(f84(a911),f328(f328(f3(a911),x88641),x88644)),x88642)),x88643),x88645)
% 28.33/28.22 [9719]~P78(x97192)+~P107(f328(f64(x97191),x97195))+E(f328(f328(f11(x97191,x97192),f328(f328(f20(x97191,x97192,x97192),f328(f328(f10(x97192,f918(x97192,x97192),x97191),f84(x97192)),x97193)),x97194)),x97195),f328(f328(f84(x97192),f328(f328(f11(x97191,x97192),x97193),x97195)),f328(f328(f11(x97191,x97192),x97194),x97195)))
% 28.33/28.22 [9720]~P69(x97202)+~P107(f328(f64(x97201),x97205))+E(f328(f328(f11(x97201,x97202),f328(f328(f20(x97201,x97202,x97202),f328(f328(f10(x97202,f918(x97202,x97202),x97201),f291(x97202)),x97203)),x97204)),x97205),f328(f328(f291(x97202),f328(f328(f11(x97201,x97202),x97203),x97205)),f328(f328(f11(x97201,x97202),x97204),x97205)))
% 28.33/28.22 [9721]~P76(x97212)+~P107(f328(f64(x97211),x97215))+E(f328(f328(f8(x97211,x97212),f328(f328(f20(x97211,x97212,x97212),f328(f328(f10(x97212,f918(x97212,x97212),x97211),f83(x97212)),x97213)),x97214)),x97215),f328(f328(f83(x97212),f328(f328(f8(x97211,x97212),x97213),x97215)),f328(f328(f8(x97211,x97212),x97214),x97215)))
% 28.33/28.22 [9847]~E(f721(x98475,x98474,x98473,x98472,x98471),f722(x98475,x98474,x98473,x98472,x98471))+P107(f328(f328(f330(f917(x98471,x98471)),f328(f328(f256(x98471,x98471),x98472),x98473)),f308(x98471,x98474)))+~P107(f328(f328(f330(f917(x98471,x98471)),f328(f328(f256(x98471,x98471),x98472),x98473)),f308(x98471,f328(f328(f105(f918(f917(x98471,x98471),a905)),x98474),x98475))))
% 28.33/28.22 [9848]~E(f729(x98485,x98484,x98483,x98482,x98481),f730(x98485,x98484,x98483,x98482,x98481))+P107(f328(f328(f330(f917(x98481,x98481)),f328(f328(f256(x98481,x98481),x98482),x98483)),f308(x98481,x98484)))+~P107(f328(f328(f330(f917(x98481,x98481)),f328(f328(f256(x98481,x98481),x98482),x98483)),f308(x98481,f328(f328(f105(f918(f917(x98481,x98481),a905)),x98484),x98485))))
% 28.33/28.22 [10040]P107(f328(f328(f330(f917(x100401,x100401)),f328(f328(f256(x100401,x100401),x100402),f730(x100405,x100404,x100403,x100402,x100401))),f308(x100401,x100404)))+P107(f328(f328(f330(f917(x100401,x100401)),f328(f328(f256(x100401,x100401),x100402),x100403)),f308(x100401,x100404)))+~P107(f328(f328(f330(f917(x100401,x100401)),f328(f328(f256(x100401,x100401),x100402),x100403)),f308(x100401,f328(f328(f105(f918(f917(x100401,x100401),a905)),x100404),x100405))))
% 28.33/28.22 [10118]P107(f328(f328(f330(f917(x101181,x101181)),f328(f328(f256(x101181,x101181),f722(x101185,x101184,x101183,x101182,x101181)),x101183)),f308(x101181,x101184)))+P107(f328(f328(f330(f917(x101181,x101181)),f328(f328(f256(x101181,x101181),x101182),x101183)),f308(x101181,x101184)))+~P107(f328(f328(f330(f917(x101181,x101181)),f328(f328(f256(x101181,x101181),x101182),x101183)),f308(x101181,f328(f328(f105(f918(f917(x101181,x101181),a905)),x101184),x101185))))
% 28.33/28.22 [10151]P107(f328(f328(f330(f917(x101511,x101511)),f328(f328(f256(x101511,x101511),x101512),x101513)),f308(x101511,x101514)))+P107(f328(f328(f330(f917(x101511,x101511)),f328(f328(f256(x101511,x101511),f721(x101515,x101514,x101513,x101512,x101511)),f722(x101515,x101514,x101513,x101512,x101511))),x101515))+~P107(f328(f328(f330(f917(x101511,x101511)),f328(f328(f256(x101511,x101511),x101512),x101513)),f308(x101511,f328(f328(f105(f918(f917(x101511,x101511),a905)),x101514),x101515))))
% 28.33/28.22 [10152]P107(f328(f328(f330(f917(x101521,x101521)),f328(f328(f256(x101521,x101521),x101522),x101523)),f308(x101521,x101524)))+P107(f328(f328(f330(f917(x101521,x101521)),f328(f328(f256(x101521,x101521),f730(x101525,x101524,x101523,x101522,x101521)),f729(x101525,x101524,x101523,x101522,x101521))),x101525))+~P107(f328(f328(f330(f917(x101521,x101521)),f328(f328(f256(x101521,x101521),x101522),x101523)),f308(x101521,f328(f328(f105(f918(f917(x101521,x101521),a905)),x101524),x101525))))
% 28.33/28.22 [10294]~P107(f328(f328(f330(f917(f912(x102941),f912(x102941))),f328(f328(f256(f912(x102941),f912(x102941)),x102944),x102945)),f160(x102941,x102942)))+~P107(f328(f328(f330(f917(x102941,x102941)),x102943),f328(f174(f917(x102941,x102941)),f328(f328(f183(x102941,x102941),x102944),x102945))))+P107(f328(f328(f261(x102941,x102941,a905),f328(f328(f9(x102941,f918(f917(x102941,x102941),a905),f918(x102941,a905)),f328(f328(f10(f918(x102941,f918(f918(f917(x102941,x102941),a905),a905)),f918(f918(f917(x102941,x102941),a905),f918(x102941,a905)),x102941),f9(x102941,f918(f917(x102941,x102941),a905),a905)),f328(f328(f10(f918(x102941,f917(x102941,x102941)),f918(x102941,f918(f918(f917(x102941,x102941),a905),a905)),x102941),f328(f10(f917(x102941,x102941),f918(f918(f917(x102941,x102941),a905),a905),x102941),f330(f917(x102941,x102941)))),f256(x102941,x102941)))),x102942)),x102943))
% 28.33/28.22 [9750]~P107(f328(f328(f239(a911),x97503),x97502))+~P107(f328(f328(f240(a911),f328(f328(f83(a911),f328(f328(f84(a911),x97503),x97504)),x97501)),f328(f328(f83(a911),f328(f328(f84(a911),x97502),x97504)),x97505)))+P107(f328(f328(f240(a911),x97501),f328(f328(f83(a911),f328(f328(f84(a911),f328(f328(f3(a911),x97502),x97503)),x97504)),x97505)))
% 28.33/28.22 [9751]~P107(f328(f328(f239(a911),x97513),x97512))+~P107(f328(f328(f239(a911),f328(f328(f83(a911),f328(f328(f84(a911),x97513),x97514)),x97511)),f328(f328(f83(a911),f328(f328(f84(a911),x97512),x97514)),x97515)))+P107(f328(f328(f239(a911),x97511),f328(f328(f83(a911),f328(f328(f84(a911),f328(f328(f3(a911),x97512),x97513)),x97514)),x97515)))
% 28.33/28.22 [9767]~P107(f328(f328(f239(a911),x97671),x97674))+P107(f328(f328(f240(a911),f328(f328(f83(a911),f328(f328(f84(a911),x97671),x97672)),x97673)),f328(f328(f83(a911),f328(f328(f84(a911),x97674),x97672)),x97675)))+~P107(f328(f328(f240(a911),x97673),f328(f328(f83(a911),f328(f328(f84(a911),f328(f328(f3(a911),x97674),x97671)),x97672)),x97675)))
% 28.33/28.22 [9768]~P107(f328(f328(f239(a911),x97681),x97684))+P107(f328(f328(f239(a911),f328(f328(f83(a911),f328(f328(f84(a911),x97681),x97682)),x97683)),f328(f328(f83(a911),f328(f328(f84(a911),x97684),x97682)),x97685)))+~P107(f328(f328(f239(a911),x97683),f328(f328(f83(a911),f328(f328(f84(a911),f328(f328(f3(a911),x97684),x97681)),x97682)),x97685)))
% 28.33/28.22 [9881]~P107(f328(f328(f239(a911),x98812),x98811))+~P107(f328(f328(f240(a911),f328(f328(f83(a911),f328(f328(f84(a911),x98811),x98813)),x98814)),f328(f328(f83(a911),f328(f328(f84(a911),x98812),x98813)),x98815)))+P107(f328(f328(f240(a911),f328(f328(f83(a911),f328(f328(f84(a911),f328(f328(f3(a911),x98811),x98812)),x98813)),x98814)),x98815))
% 28.33/28.22 [9882]~P107(f328(f328(f239(a911),x98822),x98821))+~P107(f328(f328(f239(a911),f328(f328(f83(a911),f328(f328(f84(a911),x98821),x98823)),x98824)),f328(f328(f83(a911),f328(f328(f84(a911),x98822),x98823)),x98825)))+P107(f328(f328(f239(a911),f328(f328(f83(a911),f328(f328(f84(a911),f328(f328(f3(a911),x98821),x98822)),x98823)),x98824)),x98825))
% 28.33/28.22 [9927]~P107(f328(f328(f239(a911),x99274),x99271))+P107(f328(f328(f240(a911),f328(f328(f83(a911),f328(f328(f84(a911),x99271),x99272)),x99273)),f328(f328(f83(a911),f328(f328(f84(a911),x99274),x99272)),x99275)))+~P107(f328(f328(f240(a911),f328(f328(f83(a911),f328(f328(f84(a911),f328(f328(f3(a911),x99271),x99274)),x99272)),x99273)),x99275))
% 28.33/28.22 [9928]~P107(f328(f328(f239(a911),x99284),x99281))+P107(f328(f328(f239(a911),f328(f328(f83(a911),f328(f328(f84(a911),x99281),x99282)),x99283)),f328(f328(f83(a911),f328(f328(f84(a911),x99284),x99282)),x99285)))+~P107(f328(f328(f239(a911),f328(f328(f83(a911),f328(f328(f84(a911),f328(f328(f3(a911),x99281),x99284)),x99282)),x99283)),x99285))
% 28.33/28.22 [10139]~P16(x101391,x101392,x101395,x101393)+~P107(f328(f328(f330(f917(x101391,x101391)),x101394),x101395))+P107(f328(f328(f261(x101391,x101391,a905),f328(f328(f9(x101391,f918(x101391,x101392),f918(x101391,a905)),f328(f328(f10(f918(x101392,a905),f918(f918(x101391,x101392),f918(x101391,a905)),x101391),f10(x101392,a905,x101391)),f328(f328(f10(x101392,f918(x101392,a905),x101391),a325),x101393))),x101393)),x101394))
% 28.33/28.22 [7382]~P47(x73824,x73822,x73825,x73826)+P47(f31(x73821,x73823,x73824),x73822,x73825,x73826)+P107(f328(x73821,x73822))
% 28.33/28.22 [7383]~P47(x73834,x73832,x73835,x73836)+P47(f31(x73831,x73833,x73834),x73832,x73835,x73836)+P107(f328(x73831,x73832))
% 28.33/28.22 [7384]~P47(x73844,x73842,x73845,x73846)+P47(f31(x73841,x73843,x73844),x73842,x73845,x73846)+P107(f328(x73841,x73842))
% 28.33/28.22 [7457]~P47(x74572,x74574,x74575,x74576)+P47(f31(x74571,x74572,x74573),x74574,x74575,x74576)+~P107(f328(x74571,x74574))
% 28.33/28.22 [7458]~P47(x74582,x74584,x74585,x74586)+P47(f31(x74581,x74582,x74583),x74584,x74585,x74586)+~P107(f328(x74581,x74584))
% 28.33/28.22 [7459]~P47(x74592,x74594,x74595,x74596)+P47(f31(x74591,x74592,x74593),x74594,x74595,x74596)+~P107(f328(x74591,x74594))
% 28.33/28.22 [7541]P47(x75413,x75412,x75414,x75415)+~P47(f31(x75411,x75416,x75413),x75412,x75414,x75415)+P107(f328(x75411,x75412))
% 28.33/28.22 [7542]P47(x75423,x75422,x75424,x75425)+~P47(f31(x75421,x75426,x75423),x75422,x75424,x75425)+P107(f328(x75421,x75422))
% 28.33/28.22 [7543]P47(x75433,x75432,x75434,x75435)+~P47(f31(x75431,x75436,x75433),x75432,x75434,x75435)+P107(f328(x75431,x75432))
% 28.33/28.22 [7571]P47(x75711,x75712,x75713,x75714)+~P47(f31(x75715,x75711,x75716),x75712,x75713,x75714)+~P107(f328(x75715,x75712))
% 28.33/28.22 [7572]P47(x75721,x75722,x75723,x75724)+~P47(f31(x75725,x75721,x75726),x75722,x75723,x75724)+~P107(f328(x75725,x75722))
% 28.33/28.22 [7573]P47(x75731,x75732,x75733,x75734)+~P47(f31(x75735,x75731,x75736),x75732,x75733,x75734)+~P107(f328(x75735,x75732))
% 28.33/28.22 [7940]~P47(x79401,x79403,x79404,x79406)+~P47(x79402,x79406,x79404,x79405)+P47(f34(x79401,x79402),x79403,x79404,x79405)
% 28.33/28.22 [7941]~P47(x79411,x79413,x79414,x79416)+~P47(x79412,x79416,x79414,x79415)+P47(f34(x79411,x79412),x79413,x79414,x79415)
% 28.33/28.22 [7942]P47(x79421,x79422,x79423,x79424)+P47(x79425,x79422,x79423,x79424)+~P47(f31(x79426,x79421,x79425),x79422,x79423,x79424)
% 28.33/28.22 [7943]P47(x79431,x79432,x79433,x79434)+P47(x79435,x79432,x79433,x79434)+~P47(f31(x79436,x79431,x79435),x79432,x79433,x79434)
% 28.33/28.22 [7944]P47(x79441,x79442,x79443,x79444)+P47(x79445,x79442,x79443,x79444)+~P47(f31(x79446,x79441,x79445),x79442,x79443,x79444)
% 28.33/28.22 [8568]~P24(x85686,x85681,x85682,x85684)+E(f328(f76(x85681,x85681,x85681,f328(x85682,x85683)),f328(x85684,x85685)),f328(f76(x85681,x85681,x85681,f328(x85684,x85685)),f328(x85682,x85683)))+~P107(f328(f64(x85686),x85685))
% 28.33/28.22 [8998]~P30(x89981,x89983,x89985,x89986)+~P30(x89983,x89982,x89984,f328(f311(x89981,x89983,x89985),x89986))+P30(x89981,x89982,f328(f76(x89983,x89982,x89981,x89984),x89985),x89986)
% 28.33/28.22 [8999]~P30(x89991,x89993,x89995,x89996)+~P30(x89993,x89992,x89994,f328(f311(x89991,x89993,x89995),x89996))+P30(x89991,x89992,f328(f76(x89993,x89992,x89991,x89994),x89995),x89996)
% 28.33/28.22 [9178]~P30(x91784,x91781,x91785,x91786)+~P30(x91784,x91782,f328(f76(x91781,x91782,x91784,x91783),x91785),x91786)+P30(x91781,x91782,x91783,f328(f311(x91784,x91781,x91785),x91786))
% 28.33/28.22 [9559]~P107(f328(f328(x95593,x95592),x95596))+~P107(f328(f328(x95594,x95595),x95592))+P107(f328(f328(f330(x95591),x95592),f301(x95591,x95593,x95594,x95595,x95596)))
% 28.33/28.22 [9560]~P107(f328(f328(x95604,x95602),x95606))+~P107(f328(f328(x95603,x95605),x95602))+P107(f328(f328(f330(x95601),x95602),f298(x95601,x95603,x95604,x95605,x95606)))
% 28.33/28.22 [9669]E(x96691,x96692)+E(x96693,x96694)+~P107(f328(f328(f330(f917(f912(x96695),f912(x96695))),f328(f328(f256(f912(x96695),f912(x96695)),f328(f328(f153(x96695),x96693),x96691)),f328(f328(f153(x96695),x96694),x96692))),f159(x96695,x96696)))
% 28.33/28.22 [9677]~E(x96772,x96774)+P107(f328(f328(f330(f917(f912(x96771),f912(x96771))),f328(f328(f256(f912(x96771),f912(x96771)),f328(f328(f136(x96771),x96772),x96773)),f328(f328(f136(x96771),x96774),x96775))),f159(x96771,x96776)))+~P107(f328(f328(f330(f917(f912(x96771),f912(x96771))),f328(f328(f256(f912(x96771),f912(x96771)),x96773),x96775)),f159(x96771,x96776)))
% 28.33/28.22 [9678]~E(x96782,x96784)+P107(f328(f328(f330(f917(f912(x96781),f912(x96781))),f328(f328(f256(f912(x96781),f912(x96781)),f328(f328(f153(x96781),x96782),x96783)),f328(f328(f153(x96781),x96784),x96785))),f147(x96781,x96786)))+~P107(f328(f328(f330(f917(f912(x96781),f912(x96781))),f328(f328(f256(f912(x96781),f912(x96781)),x96783),x96785)),f147(x96781,x96786)))
% 28.33/28.22 [9679]~E(x96792,x96794)+P107(f328(f328(f330(f917(f912(x96791),f912(x96791))),f328(f328(f256(f912(x96791),f912(x96791)),f328(f328(f153(x96791),x96792),x96793)),f328(f328(f153(x96791),x96794),x96795))),f149(x96791,x96796)))+~P107(f328(f328(f330(f917(f912(x96791),f912(x96791))),f328(f328(f256(f912(x96791),f912(x96791)),x96793),x96795)),f149(x96791,x96796)))
% 28.33/28.22 [9680]~E(x96802,x96804)+P107(f328(f328(f330(f917(f912(x96801),f912(x96801))),f328(f328(f256(f912(x96801),f912(x96801)),f328(f328(f153(x96801),x96802),x96803)),f328(f328(f153(x96801),x96804),x96805))),f159(x96801,x96806)))+~P107(f328(f328(f330(f917(f912(x96801),f912(x96801))),f328(f328(f256(f912(x96801),f912(x96801)),x96803),x96805)),f159(x96801,x96806)))
% 28.33/28.22 [9681]~E(x96813,x96815)+P107(f328(f328(f330(f917(f912(x96811),f912(x96811))),f328(f328(f256(f912(x96811),f912(x96811)),f328(f328(f136(x96811),x96812),x96813)),f328(f328(f136(x96811),x96814),x96815))),f159(x96811,x96816)))+~P107(f328(f328(f330(f917(f912(x96811),f912(x96811))),f328(f328(f256(f912(x96811),f912(x96811)),x96812),x96814)),f159(x96811,x96816)))
% 28.33/28.22 [9738]E(x97381,x97382)+P107(f328(f328(f330(f917(f912(x97383),f912(x97383))),f328(f328(f256(f912(x97383),f912(x97383)),x97381),x97382)),f159(x97383,x97384)))+~P107(f328(f328(f330(f917(f912(x97383),f912(x97383))),f328(f328(f256(f912(x97383),f912(x97383)),f328(f328(f153(x97383),x97385),x97381)),f328(f328(f153(x97383),x97386),x97382))),f159(x97383,x97384)))
% 28.33/28.22 [9885]~E(x98853,x98855)+P107(f328(f328(f330(f917(f912(x98851),f912(x98851))),f328(f328(f256(f912(x98851),f912(x98851)),f328(f328(f136(x98851),x98852),f328(f328(f153(x98851),x98853),f117(x98851)))),f328(f328(f136(x98851),x98854),f328(f328(f153(x98851),x98855),f117(x98851))))),f159(x98851,x98856)))+~P107(f328(f328(f330(f917(f912(x98851),f912(x98851))),f328(f328(f256(f912(x98851),f912(x98851)),x98852),x98854)),f159(x98851,x98856)))
% 28.33/28.22 [9931]E(x99311,x99312)+E(x99313,x99314)+~P107(f328(f328(f330(f917(f912(x99315),f912(x99315))),f328(f328(f256(f912(x99315),f912(x99315)),f328(f328(f136(x99315),x99313),f328(f328(f153(x99315),x99311),f117(x99315)))),f328(f328(f136(x99315),x99314),f328(f328(f153(x99315),x99312),f117(x99315))))),f159(x99315,x99316)))
% 28.33/28.22 [9956]E(x99561,x99562)+~P107(f328(f328(f330(f917(f912(x99563),f912(x99563))),f328(f328(f256(f912(x99563),f912(x99563)),f328(f328(f136(x99563),x99561),f328(f328(f153(x99563),x99565),f117(x99563)))),f328(f328(f136(x99563),x99562),f328(f328(f153(x99563),x99566),f117(x99563))))),f159(x99563,x99564)))+P107(f328(f328(f330(f917(f912(x99563),f912(x99563))),f328(f328(f256(f912(x99563),f912(x99563)),x99561),x99562)),f159(x99563,x99564)))
% 28.33/28.22 [9992]~P107(f328(f328(f330(f917(f918(x99921,a905),f918(x99921,a905))),f328(f328(f256(f918(x99921,a905),f918(x99921,a905)),x99922),x99924)),f319(x99921,x99926)))+~P107(f328(f328(f330(f917(f918(x99921,a905),f918(x99921,a905))),f328(f328(f256(f918(x99921,a905),f918(x99921,a905)),x99923),x99925)),f319(x99921,x99926)))+P107(f328(f328(f330(f917(f918(x99921,a905),f918(x99921,a905))),f328(f328(f256(f918(x99921,a905),f918(x99921,a905)),f328(f328(f105(f918(x99921,a905)),x99922),x99923)),f328(f328(f105(f918(x99921,a905)),x99924),x99925))),f319(x99921,x99926)))
% 28.33/28.22 [5797]~E(f328(f328(f136(x57971),x57976),x57973),x57975)+E(f328(f328(f136(x57971),x57972),x57973),f328(f328(f136(x57971),x57974),x57975))+~E(x57972,f328(f328(f136(x57971),x57974),x57976))
% 28.33/28.22 [5798]~E(f328(f328(f136(x57981),x57982),x57986),x57984)+E(f328(f328(f136(x57981),x57982),x57983),f328(f328(f136(x57981),x57984),x57985))+~E(x57983,f328(f328(f136(x57981),x57986),x57985))
% 28.33/28.22 [5799]~E(f328(f328(f136(x57991),x57992),x57996),x57994)+E(f328(f328(f136(x57991),x57992),x57993),f328(f328(f136(x57991),x57994),x57995))+~E(x57993,f328(f328(f136(x57991),x57996),x57995))
% 28.33/28.22 [5800]~E(f328(f328(f136(x58001),x58006),x58005),x58003)+E(f328(f328(f153(x58001),x58002),x58003),f328(f328(f136(x58001),x58004),x58005))+~E(x58004,f328(f328(f153(x58001),x58002),x58006))
% 28.33/28.22 [5801]~E(f328(f328(f153(x58011),x58012),x58016),x58014)+E(f328(f328(f153(x58011),x58012),x58013),f328(f328(f136(x58011),x58014),x58015))+~E(x58013,f328(f328(f136(x58011),x58016),x58015))
% 28.33/28.22 [5802]~E(f328(f328(f153(x58021),x58022),x58026),x58024)+E(f328(f328(f153(x58021),x58022),x58023),f328(f328(f136(x58021),x58024),x58025))+~E(x58023,f328(f328(f136(x58021),x58026),x58025))
% 28.33/28.22 [6935]E(f328(x69351,x69352),f328(x69353,x69352))+~E(f328(f328(f156(x69354,x69355),x69351),x69356),f328(f328(f156(x69354,x69355),x69353),x69356))+~P107(f328(f328(f330(x69354),x69352),f328(f174(x69354),x69356)))
% 28.33/28.22 [7315]~P24(x73154,x73155,x73156,x73151)+E(f328(f328(x73151,x73152),x73153),f328(f328(f67(x73154,x73155,x73156),x73153),x73152))+~P107(f328(f64(x73154),x73152))
% 28.33/28.22 [7387]~E(x73872,f328(x73874,x73876))+~P107(f328(f328(f330(x73873),x73876),x73875))+P107(f328(f328(f330(x73871),x73872),f328(f311(x73873,x73871,x73874),x73875)))
% 28.33/28.22 [7388]~E(x73882,f328(x73884,x73886))+~P107(f328(f328(f330(x73883),x73886),x73885))+P107(f328(f328(f330(x73881),x73882),f328(f311(x73883,x73881,x73884),x73885)))
% 28.33/28.22 [7389]~E(x73892,f328(x73894,x73896))+~P107(f328(f328(f330(x73893),x73896),x73895))+P107(f328(f328(f330(x73891),x73892),f328(f311(x73893,x73891,x73894),x73895)))
% 28.33/28.22 [7390]~E(f328(x73904,x73902),x73906)+~P107(f328(f328(f330(x73903),x73906),x73905))+P107(f328(f328(f330(x73901),x73902),f328(f312(x73901,x73903,x73904),x73905)))
% 28.33/28.22 [7843]~P38(x78431,x78432,x78434,x78436)+P38(x78431,x78432,f328(f328(f153(x78431),x78433),x78434),f328(f328(f153(x78431),x78435),x78436))+~P107(f328(f328(x78432,x78433),x78435))
% 28.33/28.22 [7844]~P38(x78441,x78442,x78444,x78446)+P38(x78441,x78442,f328(f328(f153(x78441),x78443),x78444),f328(f328(f153(x78441),x78445),x78446))+~P107(f328(f328(x78442,x78443),x78445))
% 28.33/28.22 [8871]~P63(x88714,x88715,x88711,x88712,x88716)+E(f328(x88711,f328(x88712,x88713)),x88713)+~P107(f328(f328(f330(x88715),x88713),x88716))
% 28.33/28.22 [9367]~P31(x93672,x93671,x93675,x93674,x93673)+E(f328(f95(x93671,x93672,x93673,f95(x93672,x93671,x93674,x93675)),x93676),f328(x93675,x93676))+~P107(f328(f328(f330(x93672),x93676),x93674))
% 28.33/28.22 [9376]~P30(x93761,x93762,x93763,x93766)+P30(x93761,x93762,f78(x93761,x93762,x93763,x93764,x93765),x93766)+P107(f328(f328(f330(x93762),x93765),f328(f311(x93761,x93762,x93763),x93766)))
% 28.33/28.22 [9671]E(x96711,x96712)+E(f328(f191(f912(x96713)),x96714),f328(f191(f912(x96713)),x96715))+~P107(f328(f328(f330(f917(f912(x96713),f912(x96713))),f328(f328(f256(f912(x96713),f912(x96713)),f328(f328(f153(x96713),x96711),x96714)),f328(f328(f153(x96713),x96712),x96715))),f147(x96713,x96716)))
% 28.33/28.22 [9734]~P21(x97341,x97342,x97343)+E(f328(f328(f67(x97341,x97342,x97343),x97344),x97345),x97346)+~P107(f328(f69(x97341,x97342,x97343,x97344,x97345),x97346))
% 28.33/28.22 [9741]E(f328(f191(f912(x97411)),x97412),f328(f191(f912(x97411)),x97413))+P107(f328(f328(f330(f917(f912(x97411),f912(x97411))),f328(f328(f256(f912(x97411),f912(x97411)),x97412),x97413)),f147(x97411,x97414)))+~P107(f328(f328(f330(f917(f912(x97411),f912(x97411))),f328(f328(f256(f912(x97411),f912(x97411)),f328(f328(f153(x97411),x97415),x97412)),f328(f328(f153(x97411),x97416),x97413))),f147(x97411,x97414)))
% 28.33/28.22 [9761]~P107(f328(f328(f330(f917(x97611,x97611)),f328(f328(f256(x97611,x97611),x97612),x97614)),f308(x97611,x97616)))+P107(f328(f328(f330(f917(f912(x97611),f912(x97611))),f328(f328(f256(f912(x97611),f912(x97611)),f328(f328(f153(x97611),x97612),x97613)),f328(f328(f153(x97611),x97614),x97615))),f308(f912(x97611),f159(x97611,x97616))))+~P107(f328(f328(f330(f917(f912(x97611),f912(x97611))),f328(f328(f256(f912(x97611),f912(x97611)),x97613),x97615)),f308(f912(x97611),f159(x97611,x97616))))
% 28.33/28.22 [9937]~P107(f328(x99372,x99376))+~E(f328(f138(x99371,x99372),x99373),f328(f328(f153(x99371),x99374),x99375))+~P107(f328(f328(f330(x99371),x99376),f328(f174(x99371),f713(x99375,x99374,x99373,x99372,x99371))))
% 28.33/28.22 [9938]~P107(f328(x99384,x99386))+~E(f328(f328(f153(x99381),x99382),x99383),f328(f138(x99381,x99384),x99385))+~P107(f328(f328(f330(x99381),x99386),f328(f174(x99381),f728(x99385,x99384,x99383,x99382,x99381))))
% 28.33/28.22 [10238]~P76(x102382)+E(f328(f328(f8(x102381,x102382),f328(f328(f10(f918(x102383,a905),x102382,x102381),f328(f8(x102383,x102382),x102384)),f328(f328(f10(f918(x102383,a905),f918(x102383,a905),x102381),f266(x102383)),f328(f328(f10(f918(x102383,a905),f918(x102383,a905),x102381),f328(f20(x102383,a905,a905),f328(f328(f10(a905,f918(a905,a905),x102383),a326),f328(f328(f9(x102383,f918(x102383,a905),a905),f330(x102383)),x102385)))),f328(f9(x102383,x102381,a905),f328(f328(f10(x102381,f918(x102381,a905),x102383),a325),x102386)))))),f328(f311(x102383,x102381,x102386),x102385)),f328(f328(f8(x102383,x102382),x102384),x102385))+~P107(f328(f64(x102383),x102385))
% 28.33/28.22 [6992]~P109(x69923)+P107(f328(x69922,x69925))+E(f328(f138(x69921,x69922),f328(f328(f150(x69921,x69923,x69924),x69925),x69926)),f328(f138(x69921,x69922),x69926))
% 28.33/28.22 [6994]P107(f328(x69941,x69942))+~E(f168(x69943,x69941,x69944),f328(f328(f256(f912(x69943),f912(x69943)),x69945),x69946))+~P107(f328(f328(f330(x69943),x69942),f328(f174(x69943),x69945)))
% 28.33/28.22 [7037]~P107(f328(x70372,x70376))+~E(f168(x70371,x70372,x70373),f328(f328(f256(f912(x70371),f912(x70371)),x70374),x70375))+~P107(f328(f328(f330(x70371),x70376),f328(f174(x70371),x70375)))
% 28.33/28.22 [7709]~P19(x77091,x77092,x77093)+~P107(f328(f64(x77091),x77096))+E(f328(f328(f67(x77091,x77092,x77093),x77094),f328(f328(f310(x77091),x77095),x77096)),f328(f328(f67(x77091,x77092,x77093),f328(f328(x77093,x77095),x77094)),x77096))
% 28.33/28.22 [7760]~P109(x77602)+~P107(f328(f328(f239(x77602),f328(x77603,x77604)),f328(x77603,x77605)))+E(f328(f328(f150(x77601,x77602,x77603),x77604),f328(f328(f153(x77601),x77605),x77606)),f328(f328(f153(x77601),x77604),f328(f328(f153(x77601),x77605),x77606)))
% 28.33/28.22 [7873]E(x78731,x78732)+~E(f328(f328(f258(x78733,x78734),x78731),f328(f18(f918(x78734,a905),x78733),x78735)),f328(f328(f258(x78733,x78734),x78732),f328(f18(f918(x78734,a905),x78733),x78735)))+~P107(f328(f328(f330(x78734),x78736),x78735))
% 28.33/28.22 [7946]~P19(x79461,x79462,x79463)+~P107(f328(f64(x79461),x79466))+E(f328(f328(f67(x79461,x79462,x79463),x79464),f328(f328(f310(x79461),x79465),x79466)),f328(f328(x79463,x79465),f328(f328(f67(x79461,x79462,x79463),x79464),x79466)))
% 28.33/28.22 [8062]~P21(x80621,x80622,x80623)+~P107(f328(f64(x80621),x80626))+E(f328(f328(f67(x80621,x80622,x80623),f328(f328(x80623,x80624),x80625)),x80626),f328(f328(x80623,x80624),f328(f328(f67(x80621,x80622,x80623),x80625),x80626)))
% 28.33/28.22 [8132]~P25(x81322,x81325,x81326,x81321)+~P107(f328(f64(x81322),x81324))+E(f328(x81321,f328(f328(f310(x81322),x81323),x81324)),f328(f76(x81325,x81325,x81325,f328(x81321,x81324)),f328(x81326,x81323)))
% 28.33/28.22 [8170]~P109(x81702)+P107(f328(f328(f239(x81702),f328(x81703,x81704)),f328(x81703,x81705)))+E(f328(f328(f150(x81701,x81702,x81703),x81704),f328(f328(f153(x81701),x81705),x81706)),f328(f328(f153(x81701),x81705),f328(f328(f150(x81701,x81702,x81703),x81704),x81706)))
% 28.33/28.22 [8313]~E(f328(f191(f912(x83131)),x83135),f328(f191(f912(x83132)),x83136))+~E(f328(f191(f912(x83131)),x83133),f328(f191(f912(x83132)),x83134))+E(f328(f328(f136(f917(x83131,x83132)),f328(f328(f183(x83131,x83132),x83133),x83134)),f328(f328(f183(x83131,x83132),x83135),x83136)),f328(f328(f183(x83131,x83132),f328(f328(f136(x83131),x83133),x83135)),f328(f328(f136(x83132),x83134),x83136)))
% 28.33/28.22 [8425]~E(x84252,f328(f311(x84253,x84251,x84254),x84256))+P107(f328(f328(f239(f918(x84251,a905)),x84252),f328(f311(x84253,x84251,x84254),x84255)))+~P107(f328(f328(f239(f918(x84253,a905)),x84256),x84255))
% 28.33/28.22 [8526]~P109(x85265)+E(f328(x85261,x85262),f328(x85261,x85263))+E(f328(f328(f150(x85264,x85265,x85261),x85262),f328(f328(f150(x85264,x85265,x85261),x85263),x85266)),f328(f328(f150(x85264,x85265,x85261),x85263),f328(f328(f150(x85264,x85265,x85261),x85262),x85266)))
% 28.33/28.22 [8708]~P107(f328(f328(f330(x87082),x87084),f328(x87086,x87083)))+~P107(f328(f328(f330(x87081),x87083),x87085))+P107(f328(f328(f330(f917(x87081,x87082)),f328(f328(f256(x87081,x87082),x87083),x87084)),f328(f328(f258(x87081,x87082),x87085),x87086)))
% 28.33/28.22 [8709]~P107(f328(f328(f330(x87092),x87094),f328(x87096,x87093)))+~P107(f328(f328(f330(x87091),x87093),x87095))+P107(f328(f328(f330(f917(x87091,x87092)),f328(f328(f256(x87091,x87092),x87093),x87094)),f328(f328(f258(x87091,x87092),x87095),x87096)))
% 28.33/28.22 [9171]~P78(x91712)+~P30(x91714,x91711,x91715,x91716)+E(f328(f328(f11(x91711,x91712),x91713),f328(f311(x91714,x91711,x91715),x91716)),f328(f328(f11(x91714,x91712),f328(f76(x91711,x91712,x91714,x91713),x91715)),x91716))
% 28.33/28.22 [9172]~P76(x91722)+~P30(x91724,x91721,x91725,x91726)+E(f328(f328(f8(x91721,x91722),x91723),f328(f311(x91724,x91721,x91725),x91726)),f328(f328(f8(x91724,x91722),f328(f76(x91721,x91722,x91724,x91723),x91725)),x91726))
% 28.33/28.22 [9217]~P40(x92172,x92175,x92171,x92173,x92176)+P107(f328(f328(x92171,f328(f328(f166(x92172),x92173),x92174)),f328(f328(f166(x92175),x92176),x92174)))+~P107(f328(f328(f240(a911),x92174),f328(f191(f912(x92172)),x92173)))
% 28.33/28.22 [9218]~P40(x92182,x92185,x92181,x92183,x92186)+P107(f328(f328(x92181,f328(f328(f166(x92182),x92183),x92184)),f328(f328(f166(x92185),x92186),x92184)))+~P107(f328(f328(f240(a911),x92184),f328(f191(f912(x92185)),x92186)))
% 28.33/28.22 [9219]~P40(x92192,x92195,x92191,x92193,x92196)+P107(f328(f328(x92191,f328(f328(f166(x92192),x92193),x92194)),f328(f328(f166(x92195),x92196),x92194)))+~P107(f328(f328(f240(a911),x92194),f328(f191(f912(x92192)),x92193)))
% 28.33/28.22 [9230]~E(f328(f311(x92301,x92302,x92303),x92304),x92306)+E(f328(f311(x92301,x92302,x92303),f328(f311(x92302,x92301,f95(x92301,x92302,x92304,x92303)),x92305)),x92305)+~P107(f328(f328(f239(f918(x92302,a905)),x92305),x92306))
% 28.33/28.22 [9431]~P24(x94313,x94311,x94316,x94312)+~P107(f328(f64(x94313),x94314))+E(f328(f76(x94311,x94311,x94311,f328(x94312,f328(f328(f3(f918(x94313,a905)),x94314),f328(f328(f310(x94313),x94315),f190(f918(x94313,a905)))))),f328(x94316,x94315)),f328(x94312,f328(f328(f310(x94313),x94315),x94314)))
% 28.33/28.22 [10021]~E(f328(f311(x100212,x100214,x100216),f246(f918(x100212,a905))),f246(f918(x100214,a905)))+~E(f328(f311(x100211,x100213,x100215),f246(f918(x100211,a905))),f246(f918(x100213,a905)))+E(f328(f311(f917(x100211,x100212),f917(x100213,x100214),f262(x100211,x100213,x100212,x100214,x100215,x100216)),f246(f918(f917(x100211,x100212),a905))),f246(f918(f917(x100213,x100214),a905)))
% 28.33/28.22 [10068]~P30(x100683,x100684,x100685,f328(x100686,f686(x100686,x100685,x100684,x100683,x100682,x100681)))+P30(x100683,x100684,x100685,f328(f328(f43(x100682,f918(x100683,a905)),x100681),x100686))+E(x100681,f190(f918(x100682,a905)))
% 28.33/28.22 [10125]P30(x101256,x101255,x101254,f328(f328(f43(x101252,f918(x101256,a905)),x101251),x101253))+E(x101251,f190(f918(x101252,a905)))+P107(f328(f328(f330(x101252),f686(x101253,x101254,x101255,x101256,x101252,x101251)),x101251))
% 28.33/28.22 [10130]P107(f328(f328(f330(x101301),f736(x101302,x101303,x101304,x101305,x101306,x101301)),x101306))+P107(f328(f328(f239(f918(f917(x101301,x101304),a905)),f328(f328(f258(x101301,x101304),x101306),x101303)),f328(f328(f258(x101301,x101304),x101305),x101302)))+~P107(f328(f328(f239(f918(x101301,a905)),x101306),x101305))
% 28.33/28.22 [10165]P29(x101656,x101655,f328(f328(f310(f910(x101656)),f328(f328(f328(f94(x101656),x101654),x101653),x101652)),f190(f918(f910(x101656),a905))))+~P29(x101656,x101655,f328(f328(f310(f910(x101656)),f328(f328(f328(f94(x101656),x101654),x101653),x101651)),f190(f918(f910(x101656),a905))))+P107(f328(f328(x101651,f559(x101652,x101651,x101653,x101654,x101655,x101656)),f666(x101652,x101651,x101653,x101654,x101655,x101656)))
% 28.33/28.22 [10166]P29(x101666,x101665,f328(f328(f310(f910(x101666)),f328(f328(f328(f94(x101666),x101661),x101663),x101662)),f190(f918(f910(x101666),a905))))+~P29(x101666,x101665,f328(f328(f310(f910(x101666)),f328(f328(f328(f94(x101666),x101664),x101663),x101662)),f190(f918(f910(x101666),a905))))+P107(f328(f328(x101661,f785(x101661,x101662,x101663,x101664,x101665,x101666)),f864(x101661,x101662,x101663,x101664,x101665,x101666)))
% 28.33/28.22 [10208]~P29(x102081,x102082,f328(f328(f310(f910(x102081)),f328(f328(f328(f94(x102081),x102083),x102084),x102086)),f190(f918(f910(x102081),a905))))+P29(x102081,x102082,f328(f328(f310(f910(x102081)),f328(f328(f328(f94(x102081),x102083),x102084),x102085)),f190(f918(f910(x102081),a905))))+~P107(f328(f328(x102085,f559(x102085,x102086,x102084,x102083,x102082,x102081)),f666(x102085,x102086,x102084,x102083,x102082,x102081)))
% 28.33/28.22 [10209]~P29(x102091,x102092,f328(f328(f310(f910(x102091)),f328(f328(f328(f94(x102091),x102096),x102094),x102095)),f190(f918(f910(x102091),a905))))+P29(x102091,x102092,f328(f328(f310(f910(x102091)),f328(f328(f328(f94(x102091),x102093),x102094),x102095)),f190(f918(f910(x102091),a905))))+~P107(f328(f328(x102096,f785(x102093,x102095,x102094,x102096,x102092,x102091)),f864(x102093,x102095,x102094,x102096,x102092,x102091)))
% 28.33/28.22 [10251]~P107(f328(f328(f239(f918(x102512,a905)),f328(x102514,f736(x102516,x102514,x102512,x102515,x102513,x102511))),f328(x102516,f736(x102516,x102514,x102512,x102515,x102513,x102511))))+~P107(f328(f328(f239(f918(x102511,a905)),x102513),x102515))+P107(f328(f328(f239(f918(f917(x102511,x102512),a905)),f328(f328(f258(x102511,x102512),x102513),x102514)),f328(f328(f258(x102511,x102512),x102515),x102516)))
% 28.33/28.22 [7895]~P107(f328(x78951,x78955))+~P107(f328(x78956,x78954))+P107(f328(x78951,f328(f260(x78952,x78953),f328(f328(f256(x78952,x78953),x78954),x78955))))
% 28.33/28.22 [7896]~P107(f328(x78961,x78964))+~P107(f328(x78966,x78965))+P107(f328(x78961,f328(f255(x78962,x78963),f328(f328(f256(x78962,x78963),x78964),x78965))))
% 28.33/28.22 [7950]~P107(f328(f328(x79504,x79506),x79505))+~P107(f328(f328(f330(x79501),x79506),x79503))+P107(f328(f328(f328(f42(x79501,f918(x79502,a905)),x79503),x79504),x79505))
% 28.33/28.22 [7951]~P107(f328(f328(x79514,x79516),x79515))+~P107(f328(f328(f330(x79511),x79516),x79513))+P107(f328(f328(f328(f42(x79511,f918(x79512,a905)),x79513),x79514),x79515))
% 28.33/28.22 [8265]~P107(f328(f328(f330(x82651),x82652),f328(x82655,x82656)))+~P107(f328(f328(f330(x82653),x82656),x82654))+P107(f328(f328(f330(x82651),x82652),f328(f328(f42(x82653,f918(x82651,a905)),x82654),x82655)))
% 28.33/28.22 [8266]~P107(f328(f328(f330(x82661),x82662),f328(x82665,x82666)))+~P107(f328(f328(f330(x82663),x82666),x82664))+P107(f328(f328(f330(x82661),x82662),f328(f328(f42(x82663,f918(x82661,a905)),x82664),x82665)))
% 28.33/28.22 [8305]P107(f328(f328(x83051,x83052),x83053))+~P107(f328(f328(x83054,x83052),x83053))+~P107(f328(f328(f239(f918(x83055,f918(x83056,a905))),x83054),x83051))
% 28.33/28.22 [8306]P107(f328(f328(x83061,x83062),x83063))+~P107(f328(f328(x83064,x83062),x83063))+~P107(f328(f328(f239(f918(x83065,f918(x83066,a905))),x83064),x83061))
% 28.33/28.22 [8448]P107(f328(f328(x84481,x84482),x84483))+~P107(f328(f328(f330(x84484),x84482),x84485))+~P107(f328(f328(f328(f43(x84484,f918(x84486,a905)),x84485),x84481),x84483))
% 28.33/28.22 [8449]P107(f328(f328(x84491,x84492),x84493))+~P107(f328(f328(f330(x84494),x84492),x84495))+~P107(f328(f328(f328(f43(x84494,f918(x84496,a905)),x84495),x84491),x84493))
% 28.33/28.22 [8450]P107(f328(f328(x84501,x84502),x84503))+~P107(f328(f328(f330(x84504),x84502),x84505))+~P107(f328(f328(f328(f43(x84504,f918(x84506,a905)),x84505),x84501),x84503))
% 28.33/28.22 [8582]P107(f328(f328(f330(x85821),x85822),f328(x85823,x85824)))+~P107(f328(f328(f330(x85825),x85824),x85826))+~P107(f328(f328(f330(x85821),x85822),f328(f328(f43(x85825,f918(x85821,a905)),x85826),x85823)))
% 28.33/28.22 [8583]P107(f328(f328(f330(x85831),x85832),f328(x85833,x85834)))+~P107(f328(f328(f330(x85835),x85834),x85836))+~P107(f328(f328(f330(x85831),x85832),f328(f328(f43(x85835,f918(x85831,a905)),x85836),x85833)))
% 28.33/28.22 [8584]P107(f328(f328(f330(x85841),x85842),f328(x85843,x85844)))+~P107(f328(f328(f330(x85845),x85844),x85846))+~P107(f328(f328(f330(x85841),x85842),f328(f328(f43(x85845,f918(x85841,a905)),x85846),x85843)))
% 28.33/28.22 [8852]~P16(x88524,x88525,x88526,x88521)+E(f328(x88521,x88522),f328(x88521,x88523))+~P107(f328(f328(f330(f917(x88524,x88524)),f328(f328(f256(x88524,x88524),x88522),x88523)),x88526))
% 28.33/28.22 [8884]P107(f328(f328(f239(f918(x88841,a905)),x88842),f328(x88843,x88844)))+~P107(f328(f328(f330(x88845),x88844),x88846))+~P107(f328(f328(f239(f918(x88841,a905)),x88842),f328(f328(f43(x88845,f918(x88841,a905)),x88846),x88843)))
% 28.33/28.22 [8915]~P61(x89153,x89154,f328(f288(x89154,x89153),x89155))+E(x89151,f190(f918(x89152,a905)))+E(f328(f328(f43(x89152,f918(x89153,a905)),x89151),f328(f328(f10(f918(x89154,a905),f918(x89153,a905),x89152),f287(x89154,x89153,x89155)),x89156)),f328(f287(x89154,x89153,x89155),f328(f328(f43(x89152,f918(x89154,a905)),x89151),x89156)))
% 28.33/28.22 [8989]P107(f328(f328(f330(x89891),x89892),f328(f287(x89893,x89891,x89894),x89895)))+~P107(f328(f328(f330(x89893),x89896),x89895))+~P107(f328(f328(f330(f917(x89893,x89891)),f328(f328(f256(x89893,x89891),x89896),x89892)),x89894))
% 28.33/28.22 [8990]P107(f328(f328(f330(x89901),x89902),f328(f287(x89903,x89901,x89904),x89905)))+~P107(f328(f328(f330(x89903),x89906),x89905))+~P107(f328(f328(f330(f917(x89903,x89901)),f328(f328(f256(x89903,x89901),x89906),x89902)),x89904))
% 28.33/28.22 [9302]P107(f328(f328(f239(f918(x93021,a905)),f328(f287(x93022,x93021,x93023),x93024)),f328(f287(x93022,x93021,x93025),x93026)))+~P107(f328(f328(f239(f918(x93022,a905)),x93024),x93026))+~P107(f328(f328(f239(f918(f917(x93022,x93021),a905)),x93023),x93025))
% 28.33/28.22 [9479]~P107(f328(f328(f330(x94792),x94796),x94794))+~P107(f328(f328(f239(f918(x94791,a905)),x94793),x94795))+P107(f328(f328(f239(f918(f917(x94791,x94792),a905)),f328(f328(f258(x94791,x94792),x94793),f328(f18(f918(x94792,a905),x94791),x94794))),f328(f328(f258(x94791,x94792),x94795),f328(f18(f918(x94792,a905),x94791),x94794))))
% 28.33/28.22 [9491]~P40(x94911,x94912,x94913,x94915,x94916)+P107(f328(f328(f261(x94911,x94912,a905),x94913),x94914))+~P107(f328(f328(f330(f917(x94911,x94912)),x94914),f328(f174(f917(x94911,x94912)),f328(f328(f183(x94911,x94912),x94915),x94916))))
% 28.33/28.22 [9628]~E(x96283,x96285)+P107(f328(f328(f330(f917(f912(x96281),f912(x96281))),f328(f328(f256(f912(x96281),f912(x96281)),f328(f328(f153(x96281),x96282),x96283)),f328(f328(f153(x96281),x96284),x96285))),f159(x96281,x96286)))+~P107(f328(f328(f330(f917(x96281,x96281)),f328(f328(f256(x96281,x96281),x96282),x96284)),x96286))
% 28.33/28.22 [9634]~E(f328(f191(f912(x96341)),x96343),f328(f191(f912(x96341)),x96345))+P107(f328(f328(f330(f917(f912(x96341),f912(x96341))),f328(f328(f256(f912(x96341),f912(x96341)),f328(f328(f153(x96341),x96342),x96343)),f328(f328(f153(x96341),x96344),x96345))),f147(x96341,x96346)))+~P107(f328(f328(f330(f917(x96341,x96341)),f328(f328(f256(x96341,x96341),x96342),x96344)),x96346))
% 28.33/28.22 [9663]P107(f328(f328(f330(f917(x96631,x96631)),f328(f328(f256(x96631,x96631),x96632),x96633)),f328(f328(f185(f917(x96631,x96631),a905),f328(a116,x96634)),x96635)))+~P107(f328(f328(f330(f917(x96631,x96631)),f328(f328(f256(x96631,x96631),x96636),x96633)),x96635))+~P107(f328(f328(f330(f917(x96631,x96631)),f328(f328(f256(x96631,x96631),x96632),x96636)),f328(f328(f185(f917(x96631,x96631),a905),x96634),x96635)))
% 28.33/28.22 [9664]P107(f328(f328(f330(f917(x96641,x96641)),f328(f328(f256(x96641,x96641),x96642),x96643)),f328(f328(f185(f917(x96641,x96641),a905),f328(a116,x96644)),x96645)))+~P107(f328(f328(f330(f917(x96641,x96641)),f328(f328(f256(x96641,x96641),x96642),x96646)),x96645))+~P107(f328(f328(f330(f917(x96641,x96641)),f328(f328(f256(x96641,x96641),x96646),x96643)),f328(f328(f185(f917(x96641,x96641),a905),x96644),x96645)))
% 28.33/28.22 [9667]~P107(f328(f328(f330(x96674),x96675),x96676))+P107(f328(f328(f239(f918(x96671,a905)),x96672),x96673))+~P107(f328(f328(f239(f918(f917(x96671,x96674),a905)),f328(f328(f258(x96671,x96674),x96672),f328(f18(f918(x96674,a905),x96671),x96676))),f328(f328(f258(x96671,x96674),x96673),f328(f18(f918(x96674,a905),x96671),x96676))))
% 28.33/28.22 [9711]E(x97111,x97112)+~P107(f328(f328(f330(f917(f912(x97113),f912(x97113))),f328(f328(f256(f912(x97113),f912(x97113)),f328(f328(f153(x97113),x97111),x97115)),f328(f328(f153(x97113),x97112),x97116))),f147(x97113,x97114)))+P107(f328(f328(f330(f917(x97113,x97113)),f328(f328(f256(x97113,x97113),x97111),x97112)),x97114))
% 28.33/28.22 [9712]E(x97121,x97122)+~P107(f328(f328(f330(f917(f912(x97123),f912(x97123))),f328(f328(f256(f912(x97123),f912(x97123)),f328(f328(f153(x97123),x97121),x97125)),f328(f328(f153(x97123),x97122),x97126))),f149(x97123,x97124)))+P107(f328(f328(f330(f917(x97123,x97123)),f328(f328(f256(x97123,x97123),x97121),x97122)),x97124))
% 28.33/28.22 [9713]E(x97131,x97132)+~P107(f328(f328(f330(f917(f912(x97133),f912(x97133))),f328(f328(f256(f912(x97133),f912(x97133)),f328(f328(f153(x97133),x97131),x97135)),f328(f328(f153(x97133),x97132),x97136))),f159(x97133,x97134)))+P107(f328(f328(f330(f917(x97133,x97133)),f328(f328(f256(x97133,x97133),x97131),x97132)),x97134))
% 28.33/28.22 [9749]P107(f328(f328(f330(f917(f912(x97491),f912(x97491))),f328(f328(f256(f912(x97491),f912(x97491)),f328(f328(f153(x97491),x97492),x97493)),f328(f328(f153(x97491),x97494),x97495))),f160(x97491,x97496)))+~P107(f328(f328(f330(f917(f912(x97491),f912(x97491))),f328(f328(f256(f912(x97491),f912(x97491)),x97493),x97495)),f160(x97491,x97496)))+~P107(f328(f328(f330(f917(x97491,x97491)),f328(f328(f256(x97491,x97491),x97492),x97494)),x97496))
% 28.33/28.22 [9765]P107(f328(x97651,x97652))+~P107(f328(x97651,f395(x97651,x97653,x97654,x97655,x97656)))+~P107(f328(f328(f330(x97656),x97652),f328(f328(f42(x97655,f918(x97656,a905)),x97654),x97653)))
% 28.33/28.22 [9770]~P107(f328(f328(f330(f917(f912(x97701),f912(x97701))),f328(f328(f256(f912(x97701),f912(x97701)),f328(f328(f153(x97701),x97702),x97705)),f328(f328(f153(x97701),x97703),x97706))),f147(x97701,x97704)))+P107(f328(f328(f330(f917(f912(x97701),f912(x97701))),f328(f328(f256(f912(x97701),f912(x97701)),x97705),x97706)),f147(x97701,x97704)))+P107(f328(f328(f330(f917(x97701,x97701)),f328(f328(f256(x97701,x97701),x97702),x97703)),x97704))
% 28.33/28.22 [9771]~P107(f328(f328(f330(f917(f912(x97711),f912(x97711))),f328(f328(f256(f912(x97711),f912(x97711)),f328(f328(f153(x97711),x97712),x97715)),f328(f328(f153(x97711),x97713),x97716))),f149(x97711,x97714)))+P107(f328(f328(f330(f917(f912(x97711),f912(x97711))),f328(f328(f256(f912(x97711),f912(x97711)),x97715),x97716)),f149(x97711,x97714)))+P107(f328(f328(f330(f917(x97711,x97711)),f328(f328(f256(x97711,x97711),x97712),x97713)),x97714))
% 28.33/28.22 [9772]~P107(f328(f328(f330(f917(f912(x97721),f912(x97721))),f328(f328(f256(f912(x97721),f912(x97721)),f328(f328(f153(x97721),x97722),x97725)),f328(f328(f153(x97721),x97723),x97726))),f159(x97721,x97724)))+P107(f328(f328(f330(f917(f912(x97721),f912(x97721))),f328(f328(f256(f912(x97721),f912(x97721)),x97725),x97726)),f159(x97721,x97724)))+P107(f328(f328(f330(f917(x97721,x97721)),f328(f328(f256(x97721,x97721),x97722),x97723)),x97724))
% 28.33/28.22 [9858]P107(f328(x98581,x98582))+P107(f328(f328(f330(x98583),f396(x98581,x98584,x98585,x98583,x98586)),x98585))+~P107(f328(f328(f330(x98586),x98582),f328(f328(f42(x98583,f918(x98586,a905)),x98585),x98584)))
% 28.33/28.22 [9869]~E(x98692,x98694)+P107(f328(f328(f330(f917(f912(x98691),f912(x98691))),f328(f328(f256(f912(x98691),f912(x98691)),f328(f328(f136(x98691),x98692),f328(f328(f153(x98691),x98693),f117(x98691)))),f328(f328(f136(x98691),x98694),f328(f328(f153(x98691),x98695),f117(x98691))))),f159(x98691,x98696)))+~P107(f328(f328(f330(f917(x98691,x98691)),f328(f328(f256(x98691,x98691),x98693),x98695)),x98696))
% 28.33/28.22 [9946]E(x99461,x99462)+~P107(f328(f328(f330(f917(f912(x99463),f912(x99463))),f328(f328(f256(f912(x99463),f912(x99463)),f328(f328(f136(x99463),x99465),f328(f328(f153(x99463),x99461),f117(x99463)))),f328(f328(f136(x99463),x99466),f328(f328(f153(x99463),x99462),f117(x99463))))),f159(x99463,x99464)))+P107(f328(f328(f330(f917(x99463,x99463)),f328(f328(f256(x99463,x99463),x99461),x99462)),x99464))
% 28.33/28.22 [9975]~P107(f328(f328(f330(f917(f912(x99751),f912(x99751))),f328(f328(f256(f912(x99751),f912(x99751)),f328(f328(f136(x99751),x99755),f328(f328(f153(x99751),x99752),f117(x99751)))),f328(f328(f136(x99751),x99756),f328(f328(f153(x99751),x99753),f117(x99751))))),f159(x99751,x99754)))+P107(f328(f328(f330(f917(f912(x99751),f912(x99751))),f328(f328(f256(f912(x99751),f912(x99751)),x99755),x99756)),f159(x99751,x99754)))+P107(f328(f328(f330(f917(x99751,x99751)),f328(f328(f256(x99751,x99751),x99752),x99753)),x99754))
% 28.33/28.22 [9993]P107(f328(x99931,x99932))+P107(f328(f328(f330(x99933),f395(x99931,x99934,x99935,x99936,x99933)),f328(x99934,f396(x99931,x99934,x99935,x99936,x99933))))+~P107(f328(f328(f330(x99933),x99932),f328(f328(f42(x99936,f918(x99933,a905)),x99935),x99934)))
% 28.33/28.22 [9010]~P21(x90103,x90104,x90101)+~P107(f328(f64(x90103),x90106))+E(f328(f328(x90101,x90102),f328(f328(f67(x90103,x90104,x90101),x90105),f328(f328(f3(f918(x90103,a905)),x90106),f328(f328(f310(x90103),x90102),f190(f918(x90103,a905)))))),f328(f328(f67(x90103,x90104,x90101),x90105),f328(f328(f310(x90103),x90102),x90106)))
% 28.33/28.22 [9311]~P107(f328(f328(f330(x93115),x93113),x93116))+P107(f328(f328(f239(f918(x93111,a905)),f328(x93112,x93113)),x93114))+~P107(f328(f328(f239(f918(x93111,a905)),f328(f328(f42(x93115,f918(x93111,a905)),x93116),x93112)),x93114))
% 28.33/28.22 [9920]~P13(x99201,x99205,x99204)+P107(f328(f328(f330(f917(x99201,x99201)),f328(f328(f256(x99201,x99201),x99202),x99203)),x99204))+~P107(f328(f328(f330(x99201),x99206),f328(f328(f106(f918(x99201,a905)),f328(f287(x99201,x99201,x99204),f328(f328(f310(x99201),x99202),f190(f918(x99201,a905))))),f328(f287(x99201,x99201,x99204),f328(f328(f310(x99201),x99203),f190(f918(x99201,a905)))))))
% 28.33/28.22 [8744]~P128(x87442)+~E(f328(f328(f83(x87442),f328(f328(f84(x87442),x87444),x87445)),x87441),f328(f328(f83(x87442),f328(f328(f84(x87442),x87443),x87445)),x87446))+E(x87441,f328(f328(f83(x87442),f328(f328(f84(x87442),f328(f328(f3(x87442),x87443),x87444)),x87445)),x87446))
% 28.33/28.22 [8745]~P128(x87451)+~E(f328(f328(f83(x87451),f328(f328(f84(x87451),x87452),x87454)),x87455),f328(f328(f83(x87451),f328(f328(f84(x87451),x87453),x87454)),x87456))+E(f328(f328(f83(x87451),f328(f328(f84(x87451),f328(f328(f3(x87451),x87452),x87453)),x87454)),x87455),x87456)
% 28.33/28.22 [8918]~P128(x89181)+E(f328(f328(f83(x89181),f328(f328(f84(x89181),x89182),x89183)),x89184),f328(f328(f83(x89181),f328(f328(f84(x89181),x89185),x89183)),x89186))+~E(x89186,f328(f328(f83(x89181),f328(f328(f84(x89181),f328(f328(f3(x89181),x89182),x89185)),x89183)),x89184))
% 28.33/28.22 [8919]~P128(x89191)+E(f328(f328(f83(x89191),f328(f328(f84(x89191),x89192),x89193)),x89194),f328(f328(f83(x89191),f328(f328(f84(x89191),x89195),x89193)),x89196))+~E(f328(f328(f83(x89191),f328(f328(f84(x89191),f328(f328(f3(x89191),x89192),x89195)),x89193)),x89194),x89196)
% 28.33/28.22 [9241]~P107(f328(f328(x92414,x92415),x92416))+~P107(f328(f328(x92413,x92415),x92416))+P107(f328(f328(f328(f328(f106(f918(x92411,f918(x92412,a905))),x92413),x92414),x92415),x92416))
% 28.33/28.22 [9499]P107(f328(f328(x94991,x94992),x94993))+P107(f328(f328(x94994,x94992),x94993))+~P107(f328(f328(f328(f328(f105(f918(x94995,f918(x94996,a905))),x94994),x94991),x94992),x94993))
% 28.33/28.22 [9785]~P136(x97851)+~P107(f328(f328(f240(x97851),f328(f328(f83(x97851),f328(f328(f84(x97851),x97854),x97855)),x97852)),f328(f328(f83(x97851),f328(f328(f84(x97851),x97853),x97855)),x97856)))+P107(f328(f328(f240(x97851),x97852),f328(f328(f83(x97851),f328(f328(f84(x97851),f328(f328(f3(x97851),x97853),x97854)),x97855)),x97856)))
% 28.33/28.22 [9786]~P136(x97861)+~P107(f328(f328(f239(x97861),f328(f328(f83(x97861),f328(f328(f84(x97861),x97864),x97865)),x97862)),f328(f328(f83(x97861),f328(f328(f84(x97861),x97863),x97865)),x97866)))+P107(f328(f328(f239(x97861),x97862),f328(f328(f83(x97861),f328(f328(f84(x97861),f328(f328(f3(x97861),x97863),x97864)),x97865)),x97866)))
% 28.33/28.22 [9809]~P136(x98091)+P107(f328(f328(f240(x98091),f328(f328(f83(x98091),f328(f328(f84(x98091),x98092),x98093)),x98094)),f328(f328(f83(x98091),f328(f328(f84(x98091),x98095),x98093)),x98096)))+~P107(f328(f328(f240(x98091),x98094),f328(f328(f83(x98091),f328(f328(f84(x98091),f328(f328(f3(x98091),x98095),x98092)),x98093)),x98096)))
% 28.33/28.22 [9810]~P136(x98101)+P107(f328(f328(f239(x98101),f328(f328(f83(x98101),f328(f328(f84(x98101),x98102),x98103)),x98104)),f328(f328(f83(x98101),f328(f328(f84(x98101),x98105),x98103)),x98106)))+~P107(f328(f328(f239(x98101),x98104),f328(f328(f83(x98101),f328(f328(f84(x98101),f328(f328(f3(x98101),x98105),x98102)),x98103)),x98106)))
% 28.33/28.22 [9912]~P136(x99121)+~P107(f328(f328(f240(x99121),f328(f328(f83(x99121),f328(f328(f84(x99121),x99122),x99124)),x99125)),f328(f328(f83(x99121),f328(f328(f84(x99121),x99123),x99124)),x99126)))+P107(f328(f328(f240(x99121),f328(f328(f83(x99121),f328(f328(f84(x99121),f328(f328(f3(x99121),x99122),x99123)),x99124)),x99125)),x99126))
% 28.33/28.22 [9913]~P136(x99131)+~P107(f328(f328(f239(x99131),f328(f328(f83(x99131),f328(f328(f84(x99131),x99132),x99134)),x99135)),f328(f328(f83(x99131),f328(f328(f84(x99131),x99133),x99134)),x99136)))+P107(f328(f328(f239(x99131),f328(f328(f83(x99131),f328(f328(f84(x99131),f328(f328(f3(x99131),x99132),x99133)),x99134)),x99135)),x99136))
% 28.33/28.22 [9958]~P136(x99581)+P107(f328(f328(f240(x99581),f328(f328(f83(x99581),f328(f328(f84(x99581),x99582),x99583)),x99584)),f328(f328(f83(x99581),f328(f328(f84(x99581),x99585),x99583)),x99586)))+~P107(f328(f328(f240(x99581),f328(f328(f83(x99581),f328(f328(f84(x99581),f328(f328(f3(x99581),x99582),x99585)),x99583)),x99584)),x99586))
% 28.33/28.22 [9959]~P136(x99591)+P107(f328(f328(f239(x99591),f328(f328(f83(x99591),f328(f328(f84(x99591),x99592),x99593)),x99594)),f328(f328(f83(x99591),f328(f328(f84(x99591),x99595),x99593)),x99596)))+~P107(f328(f328(f239(x99591),f328(f328(f83(x99591),f328(f328(f84(x99591),f328(f328(f3(x99591),x99592),x99595)),x99593)),x99594)),x99596))
% 28.33/28.22 [10119]~P76(x101192)+~P107(f328(f64(x101191),x101196))+E(f328(f328(f8(x101191,x101192),f328(f328(f20(x101191,x101192,x101192),f328(f328(f20(x101191,x101192,f918(x101192,x101192)),f328(f328(f10(a905,f918(x101192,f918(x101192,x101192)),x101191),f100(x101192)),x101193)),x101194)),x101195)),x101196),f328(f328(f83(x101192),f328(f328(f8(x101191,x101192),x101194),f328(f328(f106(f918(x101191,a905)),x101196),f328(f266(x101191),x101193)))),f328(f328(f8(x101191,x101192),x101195),f328(f328(f106(f918(x101191,a905)),x101196),f328(f82(f918(x101191,a905)),f328(f266(x101191),x101193))))))
% 28.33/28.22 [10176]P107(f328(f328(f330(x101762),x101764),x101766))+P107(f328(f328(f330(x101762),x101765),x101766))+E(f328(f312(x101761,x101762,f328(f328(f9(x101761,x101762,x101762),f328(f328(f9(x101761,x101762,f918(x101762,x101762)),f328(f328(f10(a905,f918(x101762,f918(x101762,x101762)),x101761),f100(x101762)),f328(f328(f9(x101761,f918(x101761,a905),a905),f330(x101761)),x101763))),x101764)),x101765)),x101766),f190(f918(x101761,a905)))
% 28.33/28.22 [10177]P107(f328(f328(f330(x101772),x101775),x101776))+~P107(f328(f328(f330(x101772),x101774),x101776))+E(f328(f312(x101771,x101772,f328(f328(f9(x101771,x101772,x101772),f328(f328(f9(x101771,x101772,f918(x101772,x101772)),f328(f328(f10(a905,f918(x101772,f918(x101772,x101772)),x101771),f100(x101772)),f328(f328(f9(x101771,f918(x101771,a905),a905),f330(x101771)),x101773))),x101774)),x101775)),x101776),x101773)
% 28.33/28.22 [10178]P107(f328(f328(f330(x101782),x101784),x101786))+~P107(f328(f328(f330(x101782),x101785),x101786))+E(f328(f312(x101781,x101782,f328(f328(f9(x101781,x101782,x101782),f328(f328(f9(x101781,x101782,f918(x101782,x101782)),f328(f328(f10(a905,f918(x101782,f918(x101782,x101782)),x101781),f100(x101782)),f328(f328(f9(x101781,f918(x101781,a905),a905),f330(x101781)),x101783))),x101784)),x101785)),x101786),f328(f82(f918(x101781,a905)),x101783))
% 28.33/28.22 [10179]~P107(f328(f328(f330(x101792),x101794),x101796))+~P107(f328(f328(f330(x101792),x101795),x101796))+E(f328(f312(x101791,x101792,f328(f328(f9(x101791,x101792,x101792),f328(f328(f9(x101791,x101792,f918(x101792,x101792)),f328(f328(f10(a905,f918(x101792,f918(x101792,x101792)),x101791),f100(x101792)),f328(f328(f9(x101791,f918(x101791,a905),a905),f330(x101791)),x101793))),x101794)),x101795)),x101796),f246(f918(x101791,a905)))
% 28.33/28.22 [10331]P29(x103311,x103312,f328(f328(f310(f910(x103311)),f328(f328(f328(f94(x103311),f328(x103313,x103314)),f328(a26,x103314)),f328(x103315,x103314))),f190(f918(f910(x103311),a905))))+~P107(f328(f328(f330(a908),x103314),x103316))+~P29(x103311,f328(f328(f105(f918(f910(x103311),a905)),x103312),f328(f311(a908,f910(x103311),f328(f328(f20(a908,f918(x103311,f918(a907,a905)),f910(x103311)),f328(f328(f20(a908,a906,f918(f918(x103311,f918(a907,a905)),f910(x103311))),f328(f328(f10(f918(x103311,f918(a907,a905)),f918(a906,f918(f918(x103311,f918(a907,a905)),f910(x103311))),a908),f94(x103311)),x103313)),a26)),x103315)),x103316)),f328(f311(a908,f910(x103311),f328(f328(f20(a908,f918(x103311,f918(a907,a905)),f910(x103311)),f328(f328(f20(a908,a906,f918(f918(x103311,f918(a907,a905)),f910(x103311))),f328(f328(f10(f918(x103311,f918(a907,a905)),f918(a906,f918(f918(x103311,f918(a907,a905)),f910(x103311))),a908),f94(x103311)),x103313)),f328(f328(f10(f915(a906),a906,a908),f236(a906)),a28))),x103315)),x103316))
% 28.33/28.22 [8777]E(x87771,x87772)+~P63(x87774,x87775,x87773,x87776,x87777)+~E(f328(x87773,x87771),f328(x87773,x87772))
% 28.33/28.22 [8805]~P15(x88056,x88055,x88057,x88054,x88051)+E(f328(f328(x88051,x88052),x88053),x88054)+P107(f328(f64(x88055),x88053))
% 28.33/28.22 [8806]~P15(x88066,x88065,x88067,x88064,x88061)+E(f328(f328(x88061,x88062),x88063),x88064)+P107(f328(f64(x88065),x88063))
% 28.33/28.22 [9655]P49(x96551,x96552,x96553,x96554,x96555,f328(f328(x96553,x96556),x96557))+~E(f328(f328(x96553,x96556),x96557),x96554)+~E(x96555,f190(f918(x96551,a905)))
% 28.33/28.22 [9831]~P107(f328(x98316,x98313))+~P107(f328(f328(f330(f917(x98312,x98312)),f328(f328(f256(x98312,x98312),x98314),x98315)),f328(x98317,x98313)))+P107(f328(f328(f330(f917(f917(x98311,x98312),f917(x98311,x98312))),f328(f328(f256(f917(x98311,x98312),f917(x98311,x98312)),f328(f328(f256(x98311,x98312),x98313),x98314)),f328(f328(f256(x98311,x98312),x98313),x98315))),f282(x98311,x98312,x98316,x98317)))
% 28.33/28.22 [10241]~P49(x102412,x102417,x102413,x102416,x102411,f328(f328(x102413,x102415),x102414))+E(f328(f328(x102413,f882(x102414,x102415,x102411,x102416,x102413,x102417,x102412)),f883(x102414,x102415,x102411,x102416,x102413,x102417,x102412)),f328(f328(x102413,x102415),x102414))+E(x102411,f190(f918(x102412,a905)))
% 28.33/28.22 [10242]~P49(x102427,x102426,x102421,x102424,x102425,f328(f328(x102421,x102422),x102423))+E(f328(f328(x102421,f882(x102423,x102422,x102425,x102424,x102421,x102426,x102427)),f883(x102423,x102422,x102425,x102424,x102421,x102426,x102427)),f328(f328(x102421,x102422),x102423))+E(f328(f328(x102421,x102422),x102423),x102424)
% 28.33/28.22 [9345]~P40(x93451,x93452,x93453,x93455,x93457)+P40(x93451,x93452,x93453,f328(f328(f153(x93451),x93454),x93455),f328(f328(f153(x93452),x93456),x93457))+~P107(f328(f328(x93453,x93454),x93456))
% 28.33/28.22 [9360]P40(x93601,x93602,x93603,x93604,x93605)+~P40(x93601,x93602,x93603,f328(f328(f136(x93601),x93606),x93604),f328(f328(f136(x93602),x93607),x93605))+~E(f328(f191(f912(x93601)),x93606),f328(f191(f912(x93602)),x93607))
% 28.33/28.22 [9361]P40(x93611,x93612,x93613,x93614,x93615)+~P40(x93611,x93612,x93613,f328(f328(f136(x93611),x93614),x93616),f328(f328(f136(x93612),x93615),x93617))+~E(f328(f191(f912(x93611)),x93614),f328(f191(f912(x93612)),x93615))
% 28.33/28.22 [9563]~P40(x95631,x95632,x95633,x95635,x95637)+~P40(x95631,x95632,x95633,x95634,x95636)+P40(x95631,x95632,x95633,f328(f328(f136(x95631),x95634),x95635),f328(f328(f136(x95632),x95636),x95637))
% 28.33/28.22 [9902]~P107(f328(f69(x99021,x99024,x99025,x99026,x99023),x99027))+P107(f328(f69(x99021,x99024,x99025,x99026,f328(f328(f310(x99021),x99022),x99023)),f328(f328(x99025,x99022),x99027)))+P107(f328(f328(f330(x99021),x99022),x99023))
% 28.33/28.22 [10266]~P49(x102662,x102667,x102666,x102665,x102661,f328(f328(x102666,x102664),x102663))+E(x102661,f190(f918(x102662,a905)))+P107(f328(f328(f330(x102662),f882(x102663,x102664,x102661,x102665,x102666,x102667,x102662)),x102661))
% 28.33/28.22 [10267]~P49(x102675,x102677,x102671,x102674,x102676,f328(f328(x102671,x102672),x102673))+E(f328(f328(x102671,x102672),x102673),x102674)+P107(f328(f328(f330(x102675),f882(x102673,x102672,x102676,x102674,x102671,x102677,x102675)),x102676))
% 28.33/28.22 [9036]~P26(x90364,x90365,x90366,x90367,x90361)+~P107(f328(f64(x90365),x90363))+E(f328(f328(x90361,x90362),x90363),f328(f328(f328(f68(x90364,x90365,x90366),x90362),x90367),x90363))
% 28.33/28.22 [9037]~P15(x90374,x90375,x90376,x90377,x90371)+~P107(f328(f64(x90375),x90373))+E(f328(f328(x90371,x90372),x90373),f328(f328(f328(f68(x90374,x90375,x90376),x90372),x90377),x90373))
% 28.33/28.22 [9621]~P29(x96211,x96212,f328(f328(f310(f910(x96211)),f328(f328(f328(f94(x96211),x96213),x96214),x96217)),f190(f918(f910(x96211),a905))))+P29(x96211,x96212,f328(f328(f310(f910(x96211)),f328(f328(f328(f94(x96211),x96213),f34(x96214,x96215)),x96216)),f190(f918(f910(x96211),a905))))+~P29(x96211,x96212,f328(f328(f310(f910(x96211)),f328(f328(f328(f94(x96211),x96217),x96215),x96216)),f190(f918(f910(x96211),a905))))
% 28.33/28.22 [9804]~P28(x98043,x98044,x98045,x98047,x98046,x98041)+~P107(f328(f64(x98044),x98042))+E(f328(x98041,x98042),f328(f328(f328(f68(x98043,x98044,x98045),x98046),x98047),x98042))
% 28.33/28.22 [9953]P49(x99531,x99532,x99533,x99534,x99535,f328(f328(x99533,x99536),x99537))+~P49(x99531,x99532,x99533,x99534,f328(f328(f3(f918(x99531,a905)),x99535),f328(f328(f310(x99531),x99536),f190(f918(x99531,a905)))),x99537)+~P107(f328(f328(f330(x99531),x99536),x99535))
% 28.33/28.22 [10210]~P29(x102101,x102102,f328(f328(f310(f910(x102101)),f328(f328(f328(f94(x102101),f96(x102101,x102103,x102104)),x102105),x102107)),f190(f918(f910(x102101),a905))))+P29(x102101,x102102,f328(f328(f310(f910(x102101)),f328(f328(f328(f94(x102101),x102103),f31(x102104,x102105,x102106)),x102107)),f190(f918(f910(x102101),a905))))+~P29(x102101,x102102,f328(f328(f310(f910(x102101)),f328(f328(f328(f94(x102101),f96(x102101,x102103,f328(f76(a905,a905,a907,a323),x102104))),x102106),x102107)),f190(f918(f910(x102101),a905))))
% 28.33/28.22 [10289]P107(f328(f328(x102897,f816(x102894,x102895,x102891,x102896,x102893,x102892,x102897)),f817(x102894,x102895,x102891,x102896,x102893,x102892,x102897)))+~P107(f328(f328(x102897,f328(f260(x102892,x102893),x102896)),f328(f255(x102892,x102893),x102896)))+P107(f328(x102891,f328(f328(f261(x102892,x102893,x102894),x102895),x102896)))
% 28.33/28.22 [10290]P29(x102907,x102906,f328(f328(f310(f910(x102907)),f328(f328(f328(f94(x102907),x102901),x102904),x102902)),f190(f918(f910(x102907),a905))))+~P29(x102907,x102906,f328(f328(f310(f910(x102907)),f328(f328(f328(f94(x102907),x102905),x102904),x102903)),f190(f918(f910(x102907),a905))))+P107(f328(f328(x102901,f903(x102902,x102901,x102903,x102904,x102905,x102906,x102907)),f344(x102902,x102901,x102903,x102904,x102905,x102906,x102907)))
% 28.33/28.22 [10300]~P49(x103002,x103003,x103004,x103005,x103001,f328(f328(x103004,x103007),x103006))+P49(x103002,x103003,x103004,x103005,f328(f328(f3(f918(x103002,a905)),x103001),f328(f328(f310(x103002),f882(x103006,x103007,x103001,x103005,x103004,x103003,x103002)),f190(f918(x103002,a905)))),f883(x103006,x103007,x103001,x103005,x103004,x103003,x103002))+E(x103001,f190(f918(x103002,a905)))
% 28.33/28.22 [10301]~P49(x103015,x103016,x103011,x103014,x103017,f328(f328(x103011,x103012),x103013))+P49(x103015,x103016,x103011,x103014,f328(f328(f3(f918(x103015,a905)),x103017),f328(f328(f310(x103015),f882(x103013,x103012,x103017,x103014,x103011,x103016,x103015)),f190(f918(x103015,a905)))),f883(x103013,x103012,x103017,x103014,x103011,x103016,x103015))+E(f328(f328(x103011,x103012),x103013),x103014)
% 28.33/28.22 [10302]~P29(x103021,x103022,f328(f328(f310(f910(x103021)),f328(f328(f328(f94(x103021),x103027),x103024),x103026)),f190(f918(f910(x103021),a905))))+P29(x103021,x103022,f328(f328(f310(f910(x103021)),f328(f328(f328(f94(x103021),x103023),x103024),x103025)),f190(f918(f910(x103021),a905))))+~P107(f328(f328(x103025,f903(x103025,x103023,x103026,x103024,x103027,x103022,x103021)),f357(x103025,x103023,x103026,x103024,x103027,x103022,x103021)))
% 28.33/28.22 [10323]~P107(f328(x103231,f328(f328(x103235,f817(x103234,x103235,x103231,x103236,x103233,x103232,x103237)),f816(x103234,x103235,x103231,x103236,x103233,x103232,x103237))))+~P107(f328(f328(x103237,f328(f260(x103232,x103233),x103236)),f328(f255(x103232,x103233),x103236)))+P107(f328(x103231,f328(f328(f261(x103232,x103233,x103234),x103235),x103236)))
% 28.33/28.22 [9642]P107(f328(f328(f239(f918(f917(x96421,x96422),a905)),f328(f328(f290(x96421,x96423,x96422),x96424),x96425)),f328(f328(f290(x96421,x96423,x96422),x96426),x96427)))+~P107(f328(f328(f239(f918(f917(x96423,x96422),a905)),x96425),x96427))+~P107(f328(f328(f239(f918(f917(x96421,x96423),a905)),x96424),x96426))
% 28.33/28.22 [9964]~P107(f328(f328(f330(x99641),x99646),x99645))+P107(f328(f69(x99641,x99642,x99643,x99644,x99645),f328(f328(x99643,x99646),x99647)))+~P107(f328(f69(x99641,x99642,x99643,x99644,f328(f328(f3(f918(x99641,a905)),x99645),f328(f328(f310(x99641),x99646),f190(f918(x99641,a905))))),x99647))
% 28.33/28.22 [10358]~P144(x103581)+~P30(f917(x103582,x103583),x103581,f328(f261(x103582,x103583,x103581),f328(f328(f9(x103582,f918(x103583,x103581),f918(x103583,x103581)),f328(f328(f10(f918(x103581,x103581),f918(f918(x103583,x103581),f918(x103583,x103581)),x103582),f10(x103581,x103581,x103583)),f328(f328(f10(x103581,f918(x103581,x103581),x103582),f84(x103581)),x103584))),x103585)),f328(f328(f258(x103582,x103583),x103586),f328(f18(f918(x103583,a905),x103582),x103587)))+E(f328(f328(f8(x103581,x103581),f35(x103581)),f328(f266(x103581),f328(f328(f10(f918(x103582,a905),a905,x103581),f90(x103582)),f328(f328(f10(f918(x103582,f918(x103583,a905)),f918(x103582,a905),x103581),f328(f10(f918(x103583,a905),a905,x103582),f90(x103583))),f328(f328(f9(x103581,f918(x103582,f918(x103583,a905)),f918(x103582,f918(x103583,a905))),f328(f328(f10(f918(x103582,f918(f918(x103583,a905),f918(x103583,a905))),f918(f918(x103582,f918(x103583,a905)),f918(x103582,f918(x103583,a905))),x103581),f20(x103582,f918(x103583,a905),f918(x103583,a905))),f328(f328(f10(f918(x103582,f918(x103583,f918(a905,a905))),f918(x103582,f918(f918(x103583,a905),f918(x103583,a905))),x103581),f328(f10(f918(x103583,f918(a905,a905)),f918(f918(x103583,a905),f918(x103583,a905)),x103582),f20(x103583,a905,a905))),f328(f328(f10(f918(x103582,f918(x103583,a905)),f918(x103582,f918(x103583,f918(a905,a905))),x103581),f328(f10(f918(x103583,a905),f918(x103583,f918(a905,a905)),x103582),f328(f10(a905,f918(a905,a905),x103583),a326))),f328(f328(f9(x103581,f918(x103582,f918(x103583,x103581)),f918(x103582,f918(x103583,a905))),f328(f328(f10(f918(f918(x103583,x103581),f918(x103583,a905)),f918(f918(x103582,f918(x103583,x103581)),f918(x103582,f918(x103583,a905))),x103581),f10(f918(x103583,x103581),f918(x103583,a905),x103582)),f328(f328(f10(f918(x103581,a905),f918(f918(x103583,x103581),f918(x103583,a905)),x103581),f10(x103581,a905,x103583)),a325))),f328(f328(f9(x103582,f918(x103583,x103581),f918(x103583,x103581)),f328(f328(f10(f918(x103581,x103581),f918(f918(x103583,x103581),f918(x103583,x103581)),x103582),f10(x103581,x103581,x103583)),f328(f328(f10(x103581,f918(x103581,x103581),x103582),f84(x103581)),x103584))),x103585)))))),f328(f328(f9(x103582,f918(x103583,a905),f918(x103583,a905)),f328(f328(f10(f918(a905,a905),f918(f918(x103583,a905),f918(x103583,a905)),x103582),f10(a905,a905,x103583)),f328(f328(f10(a905,f918(a905,a905),x103582),a326),f328(f328(f9(x103582,f918(x103582,a905),a905),f330(x103582)),x103586)))),f328(f328(f9(x103583,f918(x103583,a905),a905),f330(x103583)),x103587))))))),f328(f328(f84(x103581),f328(f328(f8(x103582,x103581),x103584),x103586)),f328(f328(f8(x103583,x103581),x103585),x103587)))
% 28.33/28.22 [9801]~P107(f328(f328(x98014,x98016),x98018))+~P107(f328(f328(x98015,x98018),x98017))+P107(f328(f328(f257(x98011,x98012,x98013,x98014,x98015),x98016),x98017))
% 28.33/28.22 [9802]~P107(f328(f328(x98024,x98026),x98028))+~P107(f328(f328(x98025,x98028),x98027))+P107(f328(f328(f257(x98021,x98022,x98023,x98024,x98025),x98026),x98027))
% 28.33/28.22 [9408]~P24(x94088,x94081,x94083,x94085)+~P107(f328(f64(x94088),x94086))+E(f328(f76(x94081,x94081,x94082,f328(x94083,x94084)),f328(f76(x94081,x94081,x94082,f328(x94085,x94086)),x94087)),f328(f76(x94081,x94081,x94082,f328(x94085,x94086)),f328(f76(x94081,x94081,x94082,f328(x94083,x94084)),x94087)))
% 28.33/28.22 [9792]~P27(x97927,x97922,x97925,x97928,x97926,x97921)+~P107(f328(f64(x97922),x97924))+E(f328(x97921,f328(f328(f310(x97922),x97923),x97924)),f328(f328(x97925,f328(x97926,x97923)),f328(x97921,x97924)))
% 28.33/28.22 [9910]~P30(x99102,x99104,x99106,x99108)+~P30(x99101,x99103,x99105,x99107)+P30(f917(x99101,x99102),f917(x99103,x99104),f262(x99101,x99103,x99102,x99104,x99105,x99106),f328(f328(f258(x99101,x99102),x99107),f328(f18(f918(x99102,a905),x99101),x99108)))
% 28.33/28.22 [9589]P107(f328(f328(f330(f917(x95891,x95892)),f328(f328(f256(x95891,x95892),x95893),x95894)),f328(f328(f290(x95891,x95895,x95892),x95896),x95897)))+~P107(f328(f328(f330(f917(x95891,x95895)),f328(f328(f256(x95891,x95895),x95893),x95898)),x95896))+~P107(f328(f328(f330(f917(x95895,x95892)),f328(f328(f256(x95895,x95892),x95898),x95894)),x95897))
% 28.33/28.22 [9773]~P107(f328(f328(f239(f918(f917(x97733,x97732),a905)),x97735),f328(f328(f258(x97733,x97732),x97738),f328(f18(f918(x97732,a905),x97733),x97737))))+~P107(f328(f328(f239(f918(f917(x97731,x97733),a905)),x97734),f328(f328(f258(x97731,x97733),x97736),f328(f18(f918(x97733,a905),x97731),x97738))))+P107(f328(f328(f239(f918(f917(x97731,x97732),a905)),f328(f328(f290(x97731,x97733,x97732),x97734),x97735)),f328(f328(f258(x97731,x97732),x97736),f328(f18(f918(x97732,a905),x97731),x97737))))
% 28.33/28.22 [9826]~E(x98263,x98265)+P107(f328(f328(f330(f917(f917(x98261,x98262),f917(x98261,x98262))),f328(f328(f256(f917(x98261,x98262),f917(x98261,x98262)),f328(f328(f256(x98261,x98262),x98263),x98264)),f328(f328(f256(x98261,x98262),x98265),x98266))),f320(x98261,x98262,x98267,x98268)))+~P107(f328(f328(f330(f917(x98262,x98262)),f328(f328(f256(x98262,x98262),x98264),x98266)),x98268))
% 28.33/28.22 [9929]E(x99291,x99292)+~P107(f328(f328(f330(f917(f917(x99293,x99295),f917(x99293,x99295))),f328(f328(f256(f917(x99293,x99295),f917(x99293,x99295)),f328(f328(f256(x99293,x99295),x99291),x99296)),f328(f328(f256(x99293,x99295),x99292),x99297))),f320(x99293,x99295,x99294,x99298)))+P107(f328(f328(f330(f917(x99293,x99293)),f328(f328(f256(x99293,x99293),x99291),x99292)),x99294))
% 28.33/28.22 [9945]~P107(f328(f328(f330(f917(f917(x99451,x99455),f917(x99451,x99455))),f328(f328(f256(f917(x99451,x99455),f917(x99451,x99455)),f328(f328(f256(x99451,x99455),x99452),x99456)),f328(f328(f256(x99451,x99455),x99453),x99457))),f320(x99451,x99455,x99454,x99458)))+P107(f328(f328(f330(f917(x99451,x99451)),f328(f328(f256(x99451,x99451),x99452),x99453)),x99454))+P107(f328(f328(f330(f917(x99455,x99455)),f328(f328(f256(x99455,x99455),x99456),x99457)),x99458))
% 28.33/28.22 [9859]~P28(x98597,x98595,x98591,x98598,x98592,x98594)+~P107(f328(f64(x98595),x98596))+E(f328(f328(x98591,f328(x98592,x98593)),f328(x98594,f328(f328(f3(f918(x98595,a905)),x98596),f328(f328(f310(x98595),x98593),f190(f918(x98595,a905)))))),f328(x98594,f328(f328(f310(x98595),x98593),x98596)))
% 28.33/28.22 [9365]~P107(f328(f328(f328(x93655,x93658),x93656),x93657))+~P107(f328(f328(f330(x93651),x93658),x93654))+P107(f328(f328(f328(f328(f42(x93651,f918(x93652,f918(x93653,a905))),x93654),x93655),x93656),x93657))
% 28.33/28.22 [9366]~P107(f328(f328(f328(x93665,x93668),x93666),x93667))+~P107(f328(f328(f330(x93661),x93668),x93664))+P107(f328(f328(f328(f328(f42(x93661,f918(x93662,f918(x93663,a905))),x93664),x93665),x93666),x93667))
% 28.33/28.22 [9572]P107(f328(f328(f328(x95721,x95722),x95723),x95724))+~P107(f328(f328(f330(x95725),x95722),x95726))+~P107(f328(f328(f328(f328(f43(x95725,f918(x95727,f918(x95728,a905))),x95726),x95721),x95723),x95724))
% 28.33/28.22 [9573]P107(f328(f328(f328(x95731,x95732),x95733),x95734))+~P107(f328(f328(f330(x95735),x95732),x95736))+~P107(f328(f328(f328(f328(f43(x95735,f918(x95737,f918(x95738,a905))),x95736),x95731),x95733),x95734))
% 28.33/28.22 [9574]P107(f328(f328(f328(x95741,x95742),x95743),x95744))+~P107(f328(f328(f330(x95745),x95742),x95746))+~P107(f328(f328(f328(f328(f43(x95745,f918(x95747,f918(x95748,a905))),x95746),x95741),x95743),x95744))
% 28.33/28.22 [9766]~P26(x97663,x97662,x97664,x97668,x97661)+~P107(f328(f64(x97662),x97667))+E(f328(f328(x97661,f328(f328(f20(x97662,x97663,x97663),f328(f328(f10(x97663,f918(x97663,x97663),x97662),x97664),x97665)),x97666)),x97667),f328(f328(x97664,f328(f328(x97661,x97665),x97667)),f328(f328(x97661,x97666),x97667)))
% 28.33/28.22 [10027]~E(f328(f311(x100272,x100274,x100276),x100278),x1002710)+~E(f328(f311(x100271,x100273,x100275),x100277),x100279)+E(f328(f311(f917(x100271,x100272),f917(x100273,x100274),f262(x100271,x100273,x100272,x100274,x100275,x100276)),f328(f328(f258(x100271,x100272),x100277),f328(f18(f918(x100272,a905),x100271),x100278))),f328(f328(f258(x100273,x100274),x100279),f328(f18(f918(x100274,a905),x100273),x1002710)))
% 28.33/28.22 [5008]~P50(x50081,x50082)+~P56(x50081,x50082)+~P57(x50081,x50082)+P12(x50081,x50082)
% 28.33/28.22 [5009]~P50(x50091,x50092)+~P56(x50091,x50092)+~P57(x50091,x50092)+P12(x50091,x50092)
% 28.33/28.22 [4965]~P109(x49652)+~P18(x49652,x49651)+P18(x49652,f118(x49652,x49651))+E(x49651,f117(x49652))
% 28.33/28.22 [4966]~P109(x49662)+~P18(x49662,x49661)+P18(x49662,f652(x49661,x49662))+E(x49661,f117(x49662))
% 28.33/28.22 [5206]~P10(x52062)+E(f12(x52062,x52061),f40(x52062,x52061))+E(x52061,f190(f918(x52062,a905)))+~P107(f328(f64(x52062),x52061))
% 28.33/28.22 [5207]~P10(x52072)+E(f13(x52072,x52071),f41(x52072,x52071))+E(x52071,f190(f918(x52072,a905)))+~P107(f328(f64(x52072),x52071))
% 28.33/28.22 [5363]~P109(x53632)+~P18(x53632,x53631)+E(x53631,f117(x53632))+E(f328(f328(f153(x53632),f672(x53631,x53632)),f652(x53631,x53632)),x53631)
% 28.33/28.22 [6176]~P101(x61762)+E(x61761,f190(f918(x61762,a905)))+P107(f328(f328(f239(x61762),f13(x61762,x61761)),f12(x61762,x61761)))+~P107(f328(f64(x61762),x61761))
% 28.33/28.22 [6188]~P46(x61882)+~P46(x61881)+E(x61881,x61882)+~E(f328(f311(a1,a911,a109),x61881),f328(f311(a1,a911,a109),x61882))
% 28.33/28.22 [9220]~P113(x92201)+~P107(f328(f328(f330(x92201),x92202),f114(x92201)))+P107(f328(f328(f240(x92201),f328(f328(f83(x92201),f328(f328(f83(x92201),f81(x92201)),x92202)),x92202)),f2(x92201)))+~P107(f328(f328(f240(x92201),x92202),f2(x92201)))
% 28.33/28.22 [9460]~P113(x94601)+~P107(f328(f328(f330(x94601),x94602),f114(x94601)))+~P107(f328(f328(f240(x94601),f328(f328(f83(x94601),f328(f328(f83(x94601),f81(x94601)),x94602)),x94602)),f2(x94601)))+P107(f328(f328(f240(x94601),x94602),f2(x94601)))
% 28.33/28.22 [5024]~P117(x50242)+~P144(x50242)+E(x50241,f2(a911))+E(f328(f328(f248(x50242),f2(x50242)),x50241),f2(x50242))
% 28.33/28.22 [5027]~P117(x50271)+~P144(x50271)+~E(x50272,f2(a911))+E(f328(f328(f248(x50271),f2(x50271)),x50272),f81(x50271))
% 28.33/28.22 [5192]~P142(x51922)+E(x51921,f81(x51922))+E(x51921,f328(f82(x51922),f81(x51922)))+~E(f328(f328(f84(x51922),x51921),x51921),f81(x51922))
% 28.33/28.22 [5448]~P89(x54482)+E(x54481,f2(x54482))+E(f85(x54482,x54481),f328(f82(x54482),f81(x54482)))+P107(f328(f328(f240(x54482),f2(x54482)),x54481))
% 28.33/28.22 [5643]~E(x56432,f81(a1))+~E(x56431,f81(a1))+E(f328(f328(f84(a1),x56431),x56432),f81(a1))+~P107(f328(f328(f240(a1),f2(a1)),x56431))
% 28.33/28.22 [5687]~P89(x56872)+E(f85(x56872,x56871),f81(x56872))+E(x56871,f2(x56872))+~P107(f328(f328(f240(x56872),f2(x56872)),x56871))
% 28.33/28.22 [5696]E(x56961,x56962)+~E(f328(f108(a911),x56961),f328(f108(a911),x56962))+P107(f328(a195,f328(f108(a1),x56962)))+P107(f328(a195,f328(f108(a1),x56961)))
% 28.33/28.22 [5746]~P93(x57461)+~E(x57462,f2(x57461))+E(f328(f328(f83(x57461),x57462),x57462),f2(x57461))+~P107(f328(f328(f330(x57461),x57462),f114(x57461)))
% 28.33/28.22 [5786]E(x57861,f2(a1))+~E(f328(f328(f39(a1),x57862),x57861),f2(a1))+P107(f328(f328(f240(a1),x57861),x57862))+P107(f328(f328(f240(a1),x57862),x57861))
% 28.33/28.22 [5816]E(x58161,f2(a1))+~E(f328(f328(f39(a1),x58162),x58161),f2(a1))+P107(f328(f328(f239(a1),x58162),f2(a1)))+P107(f328(f328(f240(a1),x58162),x58161))
% 28.33/28.22 [5850]E(x58501,f2(a1))+~E(f328(f328(f39(a1),x58502),x58501),f2(a1))+P107(f328(f328(f239(a1),f2(a1)),x58502))+P107(f328(f328(f240(a1),x58501),x58502))
% 28.33/28.22 [5883]E(x58831,f2(a1))+~E(f328(f328(f39(a1),x58832),x58831),f2(a1))+P107(f328(f328(f239(a1),x58832),f2(a1)))+P107(f328(f328(f239(a1),f2(a1)),x58832))
% 28.33/28.22 [5884]~P93(x58842)+E(x58841,f2(x58842))+~E(f328(f328(f83(x58842),x58841),x58841),f2(x58842))+~P107(f328(f328(f330(x58842),x58841),f114(x58842)))
% 28.33/28.22 [5945]E(f328(f108(a911),x59451),f328(f108(a911),x59452))+~E(f328(f108(a1),x59452),f2(a1))+P107(f328(a195,f328(f108(a1),x59452)))+~P107(f328(a195,f328(f108(a1),x59451)))
% 28.33/28.22 [5978]~E(f328(f108(a911),x59782),f328(f108(a911),x59781))+E(f328(f108(a1),x59781),f2(a1))+P107(f328(a195,f328(f108(a1),x59781)))+~P107(f328(a195,f328(f108(a1),x59782)))
% 28.33/28.22 [5988]~P109(x59882)+E(x59881,f190(f918(x59882,a905)))+~P107(f328(f64(x59882),x59881))+P107(f328(f328(f330(x59882),f16(x59882,x59881)),x59881))
% 28.33/28.22 [5989]~P109(x59892)+E(x59891,f190(f918(x59892,a905)))+~P107(f328(f64(x59892),x59891))+P107(f328(f328(f330(x59892),f17(x59892,x59891)),x59891))
% 28.33/28.22 [6153]~P113(x61531)+~P94(x61531)+P107(f328(f328(f240(x61531),f2(x61531)),f328(f108(x61531),x61532)))+~P107(f328(f328(f240(a1),a86),x61532))
% 28.33/28.22 [6154]~P113(x61541)+~P94(x61541)+P107(f328(f328(f239(x61541),f2(x61541)),f328(f108(x61541),x61542)))+~P107(f328(f328(f239(a1),a86),x61542))
% 28.33/28.22 [6175]~P113(x61751)+~P94(x61751)+E(f328(f79(x61751),f328(f108(x61751),x61752)),f328(f108(x61751),x61752))+P107(f328(f328(f240(x61751),f328(f108(x61751),x61752)),f2(x61751)))
% 28.33/28.22 [6212]E(x62121,x62122)+~E(f328(a109,x62121),f328(a109,x62122))+~P107(f328(f328(f239(a1),f2(a1)),x62122))+~P107(f328(f328(f239(a1),f2(a1)),x62121))
% 28.33/28.22 [6213]E(x62131,x62132)+~E(f328(a109,x62131),f328(a109,x62132))+~P107(f328(f328(f239(a1),f2(a1)),x62132))+~P107(f328(f328(f239(a1),f2(a1)),x62131))
% 28.33/28.22 [6243]~E(x62431,f2(a1))+E(f49(x62431,x62432),f328(f328(f256(a1,a1),f2(a1)),f2(a1)))+P107(f328(f328(f239(a1),f2(a1)),x62432))+~P107(f328(f328(f239(a1),f2(a1)),x62431))
% 28.33/28.22 [6405]~P94(x64052)+~P113(x64052)+~P107(f328(f328(f240(x64052),f2(x64052)),f328(f108(x64052),x64051)))+P107(f328(f328(f240(a1),a86),x64051))
% 28.33/28.22 [6406]~P94(x64062)+~P113(x64062)+~P107(f328(f328(f239(x64062),f2(x64062)),f328(f108(x64062),x64061)))+P107(f328(f328(f239(a1),a86),x64061))
% 28.33/28.22 [6411]~P113(x64111)+~P94(x64111)+P107(f328(f328(f240(x64111),f328(f108(x64111),x64112)),f2(x64111)))+~P107(f328(f328(f240(a1),x64112),a86))
% 28.33/28.22 [6412]~P113(x64121)+~P94(x64121)+P107(f328(f328(f239(x64121),f328(f108(x64121),x64122)),f2(x64121)))+~P107(f328(f328(f239(a1),x64122),a86))
% 28.33/28.22 [6727]~P94(x67272)+~P113(x67272)+~P107(f328(f328(f240(x67272),f328(f108(x67272),x67271)),f2(x67272)))+P107(f328(f328(f240(a1),x67271),a86))
% 28.33/28.22 [6728]~P94(x67282)+~P113(x67282)+~P107(f328(f328(f239(x67282),f328(f108(x67282),x67281)),f2(x67282)))+P107(f328(f328(f239(a1),x67281),a86))
% 28.33/28.22 [6818]~P113(x68181)+~P94(x68181)+E(f328(f79(x68181),f328(f108(x68181),x68182)),f328(f82(x68181),f328(f108(x68181),x68182)))+~P107(f328(f328(f240(x68181),f328(f108(x68181),x68182)),f2(x68181)))
% 28.33/28.22 [6835]E(f328(f108(a911),x68351),f328(f108(a911),x68352))+~E(f328(f108(a1),x68352),f2(a1))+~P107(f328(f328(f239(a1),f328(f108(a1),x68351)),f2(a1)))+~P107(f328(a195,f328(f108(a1),x68351)))
% 28.33/28.22 [7000]E(x70001,x70002)+~E(f328(a5,x70001),f328(a5,x70002))+~P107(f328(f328(f330(a911),x70002),f246(f918(a911,a905))))+~P107(f328(f328(f330(a911),x70001),f246(f918(a911,a905))))
% 28.33/28.22 [7223]P107(f328(f328(f240(a911),f328(a109,x72231)),f328(a109,x72232)))+~P107(f328(f328(f239(a1),f2(a1)),x72232))+~P107(f328(f328(f239(a1),f2(a1)),x72231))+~P107(f328(f328(f240(a1),x72231),x72232))
% 28.33/28.22 [7224]P107(f328(f328(f239(a911),f328(a109,x72241)),f328(a109,x72242)))+~P107(f328(f328(f239(a1),f2(a1)),x72242))+~P107(f328(f328(f239(a1),f2(a1)),x72241))+~P107(f328(f328(f239(a1),x72241),x72242))
% 28.33/28.22 [7456]~P11(x74561)+~P46(x74562)+~P107(f328(f328(f330(a1),x74561),x74562))+P107(f328(f328(f330(a911),f328(a109,x74561)),f328(f311(a1,a911,a109),x74562)))
% 28.33/28.22 [7464]~P107(f328(f328(f240(a911),f328(a109,x74641)),f328(a109,x74642)))+~P107(f328(f328(f239(a1),f2(a1)),x74642))+~P107(f328(f328(f239(a1),f2(a1)),x74641))+P107(f328(f328(f240(a1),x74641),x74642))
% 28.33/28.22 [7465]~P107(f328(f328(f239(a911),f328(a109,x74651)),f328(a109,x74652)))+~P107(f328(f328(f239(a1),f2(a1)),x74652))+~P107(f328(f328(f239(a1),f2(a1)),x74651))+P107(f328(f328(f239(a1),x74651),x74652))
% 28.33/28.22 [7716]~P109(x77162)+E(x77161,f190(f918(x77162,a905)))+~P107(f328(f64(x77162),x77161))+P107(f328(f328(f239(x77162),f15(x77162,f243(x77162),x77161)),f14(x77162,f238(x77162),x77161)))
% 28.33/28.22 [8038]~P11(x80381)+~P46(x80382)+P107(f328(f328(f330(a1),x80381),x80382))+~P107(f328(f328(f330(a911),f328(a109,x80381)),f328(f311(a1,a911,a109),x80382)))
% 28.33/28.22 [5984]~P140(x59842)+E(x59841,f2(a1))+E(f328(f82(x59842),f328(f107(x59842),f328(f82(a1),x59841))),f328(f107(x59842),x59841))+~P107(f328(f328(f240(a1),x59841),f2(a1)))
% 28.33/28.22 [6057]~P93(x60571)+~P94(x60571)+~P35(x60571,f328(f108(x60571),x60572))+P35(x60571,f328(f108(x60571),f328(f328(f83(a1),x60572),x60572)))
% 28.33/28.22 [6394]~P75(x63942)+E(x63941,f190(f918(x63942,a905)))+E(f17(x63942,f328(f311(x63942,x63942,f82(x63942)),x63941)),f328(f82(x63942),f16(x63942,x63941)))+~P107(f328(f64(x63942),x63941))
% 28.33/28.22 [6395]~P75(x63952)+E(x63951,f190(f918(x63952,a905)))+E(f16(x63952,f328(f311(x63952,x63952,f82(x63952)),x63951)),f328(f82(x63952),f17(x63952,x63951)))+~P107(f328(f64(x63952),x63951))
% 28.33/28.22 [6428]~P93(x64281)+~P94(x64281)+P35(x64281,f328(f108(x64281),x64282))+~P35(x64281,f328(f108(x64281),f328(f328(f83(a1),x64282),x64282)))
% 28.33/28.22 [6517]E(x65171,f2(a1))+E(f328(a54,f53(f328(f82(a1),x65171),f328(f82(a1),x65172))),f49(x65171,x65172))+P107(f328(f328(f239(a1),f2(a1)),x65172))+~P107(f328(f328(f239(a1),f2(a1)),x65171))
% 28.33/28.22 [7372]~P107(f328(f328(f240(a1),f2(a1)),x73722))+~P107(f328(f328(f239(a1),f2(a1)),x73721))+~P107(f328(f328(f239(a1),x73722),x73721))+P107(f328(f328(f240(a1),f2(a1)),f328(f328(f39(a1),x73721),x73722)))
% 28.33/28.22 [7790]~E(x77902,f2(a1))+E(f219(x77901,x77902),f328(f328(f256(a1,a1),f2(a1)),f81(a1)))+P107(f328(f328(f240(a1),x77902),f2(a1)))+~P107(f328(f316(f917(a1,a1),a225),f328(f328(f256(a1,a1),x77901),x77902)))
% 28.33/28.22 [7791]~E(x77911,f2(a1))+E(f219(x77911,x77912),f328(f328(f256(a1,a1),f2(a1)),f81(a1)))+P107(f328(f328(f240(a1),x77912),f2(a1)))+~P107(f328(f316(f917(a1,a1),a225),f328(f328(f256(a1,a1),x77911),x77912)))
% 28.33/28.22 [8829]~P46(x88292)+~P46(x88291)+P107(f328(f328(f240(f918(a911,a905)),f328(f311(a1,a911,a109),x88291)),f328(f311(a1,a911,a109),x88292)))+~P107(f328(f328(f240(f918(a1,a905)),x88291),x88292))
% 28.33/28.22 [8830]~P46(x88302)+~P46(x88301)+P107(f328(f328(f239(f918(a911,a905)),f328(f311(a1,a911,a109),x88301)),f328(f311(a1,a911,a109),x88302)))+~P107(f328(f328(f239(f918(a1,a905)),x88301),x88302))
% 28.33/28.22 [9054]~E(f680(x90542,x90541),f676(x90542,x90541))+~P107(f328(f139(x90541),f677(x90542,x90541)))+~P107(f328(f139(f912(x90541)),x90542))+P107(f328(f139(x90541),f328(f144(f912(x90541),f912(x90541),f136(x90541),f117(x90541)),x90542)))
% 28.33/28.22 [9140]~P46(x91402)+~P46(x91401)+~P107(f328(f328(f240(f918(a911,a905)),f328(f311(a1,a911,a109),x91401)),f328(f311(a1,a911,a109),x91402)))+P107(f328(f328(f240(f918(a1,a905)),x91401),x91402))
% 28.33/28.22 [9141]~P46(x91412)+~P46(x91411)+~P107(f328(f328(f239(f918(a911,a905)),f328(f311(a1,a911,a109),x91411)),f328(f311(a1,a911,a109),x91412)))+P107(f328(f328(f239(f918(a1,a905)),x91411),x91412))
% 28.33/28.22 [9147]~E(f680(x91472,x91471),f676(x91472,x91471))+~P107(f328(f139(f912(x91471)),x91472))+P107(f328(f139(x91471),f328(f144(f912(x91471),f912(x91471),f136(x91471),f117(x91471)),x91472)))+P107(f328(f328(f330(f912(x91471)),f677(x91472,x91471)),f328(f174(f912(x91471)),x91472)))
% 28.33/28.22 [9189]~P107(f328(f139(x91891),f677(x91892,x91891)))+~P107(f328(f139(f912(x91891)),x91892))+P107(f328(f139(x91891),f328(f144(f912(x91891),f912(x91891),f136(x91891),f117(x91891)),x91892)))+P107(f328(f328(f330(f912(x91891)),f676(x91892,x91891)),f328(f174(f912(x91891)),x91892)))
% 28.33/28.22 [9190]~P107(f328(f139(x91901),f677(x91902,x91901)))+~P107(f328(f139(f912(x91901)),x91902))+P107(f328(f139(x91901),f328(f144(f912(x91901),f912(x91901),f136(x91901),f117(x91901)),x91902)))+P107(f328(f328(f330(f912(x91901)),f680(x91902,x91901)),f328(f174(f912(x91901)),x91902)))
% 28.33/28.22 [9273]~P107(f328(f139(f912(x92731)),x92732))+P107(f328(f139(x92731),f328(f144(f912(x92731),f912(x92731),f136(x92731),f117(x92731)),x92732)))+P107(f328(f328(f330(f912(x92731)),f676(x92732,x92731)),f328(f174(f912(x92731)),x92732)))+P107(f328(f328(f330(f912(x92731)),f677(x92732,x92731)),f328(f174(f912(x92731)),x92732)))
% 28.33/28.22 [9274]~P107(f328(f139(f912(x92741)),x92742))+P107(f328(f139(x92741),f328(f144(f912(x92741),f912(x92741),f136(x92741),f117(x92741)),x92742)))+P107(f328(f328(f330(f912(x92741)),f680(x92742,x92741)),f328(f174(f912(x92741)),x92742)))+P107(f328(f328(f330(f912(x92741)),f677(x92742,x92741)),f328(f174(f912(x92741)),x92742)))
% 28.33/28.22 [9289]~E(f328(f328(f106(f918(x92891,a905)),f328(f174(x92891),f676(x92892,x92891))),f328(f174(x92891),f680(x92892,x92891))),f190(f918(x92891,a905)))+~P107(f328(f139(x92891),f677(x92892,x92891)))+~P107(f328(f139(f912(x92891)),x92892))+P107(f328(f139(x92891),f328(f144(f912(x92891),f912(x92891),f136(x92891),f117(x92891)),x92892)))
% 28.33/28.22 [9349]~E(f328(f328(f106(f918(x93491,a905)),f328(f174(x93491),f676(x93492,x93491))),f328(f174(x93491),f680(x93492,x93491))),f190(f918(x93491,a905)))+~P107(f328(f139(f912(x93491)),x93492))+P107(f328(f139(x93491),f328(f144(f912(x93491),f912(x93491),f136(x93491),f117(x93491)),x93492)))+P107(f328(f328(f330(f912(x93491)),f677(x93492,x93491)),f328(f174(f912(x93491)),x93492)))
% 28.33/28.22 [9614]E(x96141,f2(a1))+E(x96142,f2(a1))+E(f328(f328(f89(a1,f917(a1,a1)),f328(f328(a221,x96142),x96141)),f328(f328(f20(a1,a1,f917(a1,a1)),f328(f328(f10(a1,f918(a1,f917(a1,a1)),a1),f256(a1,a1)),f328(f39(a1),x96142))),f328(f39(a1),x96141))),f219(x96142,x96141))+P107(f328(f328(f240(a1),x96141),f2(a1)))
% 28.33/28.22 [8373]~P94(x83732)+~P113(x83732)+~P107(f328(f328(f240(x83732),f328(f108(x83732),x83731)),f81(x83732)))+P107(f328(f328(f240(a1),x83731),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))
% 28.33/28.22 [8374]~P94(x83742)+~P113(x83742)+~P107(f328(f328(f239(x83742),f328(f108(x83742),x83741)),f81(x83742)))+P107(f328(f328(f239(a1),x83741),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))
% 28.33/28.22 [8654]~P113(x86541)+~P94(x86541)+P107(f328(f328(f240(x86541),f328(f108(x86541),x86542)),f81(x86541)))+~P107(f328(f328(f240(a1),x86542),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))
% 28.33/28.22 [8655]~P113(x86551)+~P94(x86551)+P107(f328(f328(f239(x86551),f328(f108(x86551),x86552)),f81(x86551)))+~P107(f328(f328(f239(a1),x86552),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))
% 28.33/28.22 [8858]~P94(x88582)+~P113(x88582)+~P107(f328(f328(f240(x88582),f81(x88582)),f328(f108(x88582),x88581)))+P107(f328(f328(f240(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),x88581))
% 28.33/28.22 [8859]~P94(x88592)+~P113(x88592)+~P107(f328(f328(f239(x88592),f81(x88592)),f328(f108(x88592),x88591)))+P107(f328(f328(f239(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),x88591))
% 28.33/28.22 [9226]~P113(x92261)+~P94(x92261)+P107(f328(f328(f240(x92261),f81(x92261)),f328(f108(x92261),x92262)))+~P107(f328(f328(f240(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),x92262))
% 28.33/28.22 [9227]~P113(x92271)+~P94(x92271)+P107(f328(f328(f239(x92271),f81(x92271)),f328(f108(x92271),x92272)))+~P107(f328(f328(f239(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),x92272))
% 28.33/28.22 [9740]~P142(x97402)+E(x97401,f81(x97402))+E(x97401,f328(f82(x97402),f81(x97402)))+~E(f328(f328(f248(x97402),x97401),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f81(x97402))
% 28.33/28.22 [10002]~P71(x100021)+~P94(x100021)+~P107(f328(f328(f240(x100021),f2(x100021)),x100022))+P107(f328(f328(f240(x100021),f2(x100021)),f328(f328(f291(x100021),x100022),f328(f108(x100021),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))))
% 28.33/28.22 [10003]~P71(x100031)+~P94(x100031)+~P107(f328(f328(f240(x100031),f2(x100031)),x100032))+P107(f328(f328(f240(x100031),f2(x100031)),f328(f328(f291(x100031),x100032),f328(f108(x100031),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))))
% 28.33/28.22 [10056]~P71(x100561)+~P94(x100561)+P107(f328(f328(f240(x100561),f2(x100561)),x100562))+~P107(f328(f328(f240(x100561),f2(x100561)),f328(f328(f291(x100561),x100562),f328(f108(x100561),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))))
% 28.33/28.22 [10330]~P140(x103302)+E(x103301,f2(a1))+P107(f328(f328(f240(a1),x103301),f2(a1)))+E(f328(f328(f261(a1,a1,x103302),f328(f328(f9(a1,f918(a1,f918(x103302,x103302)),f918(a1,x103302)),f328(f328(f10(f918(f918(x103302,x103302),x103302),f918(f918(a1,f918(x103302,x103302)),f918(a1,x103302)),a1),f10(f918(x103302,x103302),x103302,a1)),f328(f328(f10(x103302,f918(f918(x103302,x103302),x103302),a1),f89(x103302,x103302)),f107(x103302)))),f328(f328(f9(a1,f918(x103302,x103302),f918(x103302,x103302)),f328(f328(f10(f918(x103302,f918(x103302,x103302)),f918(f918(x103302,x103302),f918(x103302,x103302)),a1),f20(x103302,x103302,x103302)),f328(f328(f9(a1,f918(x103302,x103302),f918(x103302,f918(x103302,x103302))),f328(f328(f10(f918(x103302,f918(x103302,x103302)),f918(f918(x103302,x103302),f918(x103302,f918(x103302,x103302))),a1),f10(x103302,f918(x103302,x103302),x103302)),f328(f328(f10(a905,f918(x103302,f918(x103302,x103302)),a1),f100(x103302)),f328(f328(f9(a1,a1,a905),a325),f2(a1))))),f328(f328(f20(x103302,x103302,x103302),f83(x103302)),f7(x103302))))),f328(f328(f9(x103302,x103302,x103302),f328(f328(f10(x103302,f918(x103302,x103302),x103302),f83(x103302)),f328(f328(f20(x103302,x103302,x103302),f83(x103302)),f7(x103302)))),f81(x103302))))),f49(x103301,f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))),f328(f107(x103302),x103301))
% 28.33/28.22 [10089]P107(f328(f328(f239(a1),x100891),f2(a1)))+P107(f328(f328(f240(a1),x100892),x100891))+~P107(f328(f316(f917(a1,a1),a61),f328(f328(f256(a1,a1),x100892),x100891)))+E(f328(f46(x100891),f50(x100892,f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x100891))),f50(x100892,x100891))
% 28.33/28.22 [10093]P107(f328(f328(f239(a1),x100931),f2(a1)))+~P107(f328(f316(f917(a1,a1),a55),f328(f328(f256(a1,a1),x100932),x100931)))+P107(f328(f328(f239(a1),f2(a1)),f328(f328(f83(a1),x100932),x100931)))+E(f328(f46(x100931),f53(x100932,f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),x100931))),f53(x100932,x100931))
% 28.33/28.22 [5456]~P44(x54561,x54563)+~P58(x54561,x54563)+~P59(x54561,x54562,x54563)+P13(x54561,x54562,x54563)
% 28.33/28.22 [5457]~P44(x54571,x54573)+~P58(x54571,x54573)+~P59(x54571,x54572,x54573)+P13(x54571,x54572,x54573)
% 28.33/28.22 [4993]~P93(x49933)+~P94(x49933)+E(x49931,x49932)+~E(f328(f108(x49933),x49931),f328(f108(x49933),x49932))
% 28.33/28.22 [5467]~P56(x54671,x54672)+~P57(x54671,x54672)+P20(x54671,x54672)+~P107(f328(f328(x54672,x54673),x54673))
% 28.33/28.22 [5468]~P56(x54681,x54682)+~P57(x54681,x54682)+P20(x54681,x54682)+~P107(f328(f328(x54682,x54683),x54683))
% 28.33/28.22 [5960]P20(x59602,x59601)+E(f328(x59601,f833(x59601)),f328(x59601,f834(x59601)))+P107(f328(f328(x59601,f833(x59601)),f834(x59601)))+~P107(f328(f328(x59601,x59603),x59603))
% 28.33/28.22 [6163]~P107(f328(x61631,x61632))+~P107(f328(x61631,x61633))+~P107(f328(f328(f239(a911),x61633),f780(x61632,x61631)))+P107(f328(x61631,f2(a911)))
% 28.33/28.22 [6232]P20(x62321,x62322)+P107(f328(f328(x62322,f833(x62322)),f833(x62322)))+P107(f328(f328(x62322,f833(x62322)),f834(x62322)))+~P107(f328(f328(x62322,x62323),x62323))
% 28.33/28.22 [6233]P20(x62331,x62332)+P107(f328(f328(x62332,f833(x62332)),f834(x62332)))+P107(f328(f328(x62332,f834(x62332)),f834(x62332)))+~P107(f328(f328(x62332,x62333),x62333))
% 28.33/28.22 [6582]P147(x65822,x65823,x65821)+E(x65821,f2(a1))+P107(f328(f328(f239(a1),f2(a1)),f848(x65821,x65823,x65822)))+P107(f328(f328(f240(a1),x65821),f2(a1)))
% 28.33/28.22 [6583]P148(x65832,x65833,x65831)+E(x65831,f2(a1))+P107(f328(f328(f239(a1),f2(a1)),f853(x65831,x65833,x65832)))+P107(f328(f328(f240(a1),x65831),f2(a1)))
% 28.33/28.22 [6707]P147(x67071,x67072,x67073)+~P107(f328(x67071,x67072))+P107(f328(f328(f239(a1),f2(a1)),f848(x67073,x67072,x67071)))+P107(f328(f328(f240(a1),x67073),f2(a1)))
% 28.33/28.22 [6733]P148(x67331,x67332,x67333)+P107(f328(f328(f239(a1),f2(a1)),f853(x67333,x67332,x67331)))+~P107(f328(x67331,f2(a1)))+P107(f328(f328(f240(a1),x67333),f2(a1)))
% 28.33/28.22 [6761]P147(x67612,x67613,x67611)+E(x67611,f2(a1))+~P107(f328(x67612,f848(x67611,x67613,x67612)))+P107(f328(f328(f240(a1),x67611),f2(a1)))
% 28.33/28.22 [6762]P148(x67622,x67623,x67621)+E(x67621,f2(a1))+~P107(f328(x67622,f854(x67621,x67623,x67622)))+P107(f328(f328(f240(a1),x67621),f2(a1)))
% 28.33/28.22 [6859]~P109(x68591)+~P10(x68591)+~P107(f328(f328(f240(x68591),x68592),f40(x68591,x68593)))+P107(f328(f328(f240(x68591),x68592),f627(x68593,x68592,x68591)))
% 28.33/28.22 [6868]P147(x68681,x68682,x68683)+~P107(f328(x68681,x68682))+~P107(f328(x68681,f848(x68683,x68682,x68681)))+P107(f328(f328(f240(a1),x68683),f2(a1)))
% 28.33/28.22 [6899]P148(x68991,x68992,x68993)+~P107(f328(x68991,f854(x68993,x68992,x68991)))+~P107(f328(x68991,f2(a1)))+P107(f328(f328(f240(a1),x68993),f2(a1)))
% 28.33/28.22 [7146]P147(x71462,x71463,x71461)+E(x71461,f2(a1))+P107(f328(f328(f239(a1),f2(a1)),f848(x71461,x71463,x71462)))+P107(f328(f328(f240(a1),x71461),f847(x71461,x71463,x71462)))
% 28.33/28.22 [7147]P148(x71472,x71473,x71471)+E(x71471,f2(a1))+P107(f328(f328(f239(a1),f2(a1)),f853(x71471,x71473,x71472)))+P107(f328(f328(f240(a1),x71471),f852(x71471,x71473,x71472)))
% 28.33/28.22 [7264]P147(x72641,x72642,x72643)+~P107(f328(x72641,x72642))+P107(f328(f328(f239(a1),f2(a1)),f848(x72643,x72642,x72641)))+P107(f328(f328(f240(a1),x72643),f847(x72643,x72642,x72641)))
% 28.33/28.22 [7283]P148(x72831,x72832,x72833)+P107(f328(f328(f239(a1),f2(a1)),f853(x72833,x72832,x72831)))+P107(f328(f328(f240(a1),x72833),f852(x72833,x72832,x72831)))+~P107(f328(x72831,f2(a1)))
% 28.33/28.22 [7316]P147(x73162,x73163,x73161)+E(x73161,f2(a1))+~P107(f328(x73162,f848(x73161,x73163,x73162)))+P107(f328(f328(f240(a1),x73161),f847(x73161,x73163,x73162)))
% 28.33/28.22 [7317]P148(x73172,x73173,x73171)+E(x73171,f2(a1))+~P107(f328(x73172,f854(x73171,x73173,x73172)))+P107(f328(f328(f240(a1),x73171),f852(x73171,x73173,x73172)))
% 28.33/28.22 [7361]P147(x73612,x73613,x73611)+E(x73611,f2(a1))+P107(f328(f328(f239(a1),f2(a1)),f848(x73611,x73613,x73612)))+~P107(f328(x73612,f847(x73611,x73613,x73612)))
% 28.33/28.22 [7362]P148(x73622,x73623,x73621)+E(x73621,f2(a1))+P107(f328(f328(f239(a1),f2(a1)),f853(x73621,x73623,x73622)))+~P107(f328(x73622,f856(x73621,x73623,x73622)))
% 28.33/28.22 [7463]P147(x74631,x74632,x74633)+~P107(f328(x74631,x74632))+~P107(f328(x74631,f848(x74633,x74632,x74631)))+P107(f328(f328(f240(a1),x74633),f847(x74633,x74632,x74631)))
% 28.33/28.22 [7478]P148(x74781,x74782,x74783)+~P107(f328(x74781,f854(x74783,x74782,x74781)))+P107(f328(f328(f240(a1),x74783),f852(x74783,x74782,x74781)))+~P107(f328(x74781,f2(a1)))
% 28.33/28.22 [7483]P147(x74831,x74832,x74833)+~P107(f328(x74831,x74832))+P107(f328(f328(f239(a1),f2(a1)),f848(x74833,x74832,x74831)))+~P107(f328(x74831,f847(x74833,x74832,x74831)))
% 28.33/28.22 [7499]P148(x74991,x74992,x74993)+P107(f328(f328(f239(a1),f2(a1)),f853(x74993,x74992,x74991)))+~P107(f328(x74991,f856(x74993,x74992,x74991)))+~P107(f328(x74991,f2(a1)))
% 28.33/28.22 [7520]P147(x75202,x75203,x75201)+E(x75201,f2(a1))+~P107(f328(x75202,f848(x75201,x75203,x75202)))+~P107(f328(x75202,f847(x75201,x75203,x75202)))
% 28.33/28.22 [7521]P148(x75212,x75213,x75211)+E(x75211,f2(a1))+~P107(f328(x75212,f854(x75211,x75213,x75212)))+~P107(f328(x75212,f856(x75211,x75213,x75212)))
% 28.33/28.22 [7614]P147(x76141,x76142,x76143)+~P107(f328(x76141,x76142))+~P107(f328(x76141,f848(x76143,x76142,x76141)))+~P107(f328(x76141,f847(x76143,x76142,x76141)))
% 28.33/28.22 [7631]P148(x76311,x76312,x76313)+~P107(f328(x76311,f854(x76313,x76312,x76311)))+~P107(f328(x76311,f856(x76313,x76312,x76311)))+~P107(f328(x76311,f2(a1)))
% 28.33/28.22 [7675]P147(x76752,x76753,x76751)+E(x76751,f2(a1))+P107(f328(f328(f239(a1),f2(a1)),f848(x76751,x76753,x76752)))+P107(f328(f328(f239(a1),f847(x76751,x76753,x76752)),f2(a1)))
% 28.33/28.22 [7676]P148(x76762,x76763,x76761)+E(x76761,f2(a1))+P107(f328(f328(f239(a1),f2(a1)),f853(x76761,x76763,x76762)))+P107(f328(f328(f239(a1),f852(x76761,x76763,x76762)),f2(a1)))
% 28.33/28.22 [7677]~P88(x76771)+~P107(f328(f328(f240(x76771),x76773),f2(x76771)))+~P107(f328(f328(f240(x76771),x76772),f2(x76771)))+P107(f328(f328(f240(x76771),f328(f328(f83(x76771),x76772),x76773)),f2(x76771)))
% 28.33/28.22 [7678]~P88(x76781)+~P107(f328(f328(f239(x76781),x76782),f2(x76781)))+~P107(f328(f328(f240(x76781),x76783),f2(x76781)))+P107(f328(f328(f240(x76781),f328(f328(f83(x76781),x76782),x76783)),f2(x76781)))
% 28.33/28.22 [7679]~P88(x76791)+~P107(f328(f328(f239(x76791),x76793),f2(x76791)))+~P107(f328(f328(f240(x76791),x76792),f2(x76791)))+P107(f328(f328(f240(x76791),f328(f328(f83(x76791),x76792),x76793)),f2(x76791)))
% 28.33/28.22 [7680]~P88(x76801)+~P107(f328(f328(f239(x76801),x76803),f2(x76801)))+~P107(f328(f328(f239(x76801),x76802),f2(x76801)))+P107(f328(f328(f239(x76801),f328(f328(f83(x76801),x76802),x76803)),f2(x76801)))
% 28.33/28.22 [7681]~P140(x76811)+~P107(f328(f328(f330(x76811),x76813),f114(x76811)))+~P107(f328(f328(f330(x76811),x76812),f114(x76811)))+P107(f328(f328(f330(x76811),f328(f328(f83(x76811),x76812),x76813)),f114(x76811)))
% 28.33/28.22 [7682]~P108(x76821)+~P107(f328(f328(f330(x76821),x76823),f188(x76821)))+~P107(f328(f328(f330(x76821),x76822),f188(x76821)))+P107(f328(f328(f330(x76821),f328(f328(f83(x76821),x76822),x76823)),f188(x76821)))
% 28.33/28.22 [7683]~P140(x76831)+~P107(f328(f328(f330(x76831),x76833),f114(x76831)))+~P107(f328(f328(f330(x76831),x76832),f114(x76831)))+P107(f328(f328(f330(x76831),f328(f328(f84(x76831),x76832),x76833)),f114(x76831)))
% 28.33/28.22 [7684]~P108(x76841)+~P107(f328(f328(f330(x76841),x76843),f188(x76841)))+~P107(f328(f328(f330(x76841),x76842),f188(x76841)))+P107(f328(f328(f330(x76841),f328(f328(f84(x76841),x76842),x76843)),f188(x76841)))
% 28.33/28.22 [7685]~P140(x76851)+~P107(f328(f328(f330(x76851),x76853),f114(x76851)))+~P107(f328(f328(f330(x76851),x76852),f114(x76851)))+P107(f328(f328(f330(x76851),f328(f328(f3(x76851),x76852),x76853)),f114(x76851)))
% 28.33/28.22 [7712]P147(x77123,x77122,x77121)+E(x77121,f2(a1))+E(f328(f328(f83(a1),f328(f328(f84(a1),x77121),f849(x77121,x77122,x77123))),f848(x77121,x77122,x77123)),x77122)+P107(f328(f328(f240(a1),x77121),f2(a1)))
% 28.33/28.22 [7713]P148(x77133,x77132,x77131)+E(x77131,f2(a1))+E(f328(f328(f83(a1),f328(f328(f84(a1),x77131),f854(x77131,x77132,x77133))),f853(x77131,x77132,x77133)),x77132)+P107(f328(f328(f240(a1),x77131),f2(a1)))
% 28.33/28.22 [7795]P147(x77951,x77952,x77953)+~P107(f328(x77951,x77952))+P107(f328(f328(f239(a1),f2(a1)),f848(x77953,x77952,x77951)))+P107(f328(f328(f239(a1),f847(x77953,x77952,x77951)),f2(a1)))
% 28.33/28.22 [7824]P148(x78241,x78242,x78243)+P107(f328(f328(f239(a1),f2(a1)),f853(x78243,x78242,x78241)))+~P107(f328(x78241,f2(a1)))+P107(f328(f328(f239(a1),f852(x78243,x78242,x78241)),f2(a1)))
% 28.33/28.22 [7833]P147(x78333,x78332,x78331)+~P107(f328(x78333,x78332))+E(f328(f328(f83(a1),f328(f328(f84(a1),x78331),f849(x78331,x78332,x78333))),f848(x78331,x78332,x78333)),x78332)+P107(f328(f328(f240(a1),x78331),f2(a1)))
% 28.33/28.22 [7839]P147(x78392,x78393,x78391)+E(x78391,f2(a1))+~P107(f328(x78392,f848(x78391,x78393,x78392)))+P107(f328(f328(f239(a1),f847(x78391,x78393,x78392)),f2(a1)))
% 28.33/28.22 [7840]P148(x78402,x78403,x78401)+E(x78401,f2(a1))+~P107(f328(x78402,f854(x78401,x78403,x78402)))+P107(f328(f328(f239(a1),f852(x78401,x78403,x78402)),f2(a1)))
% 28.33/28.22 [7845]P148(x78453,x78452,x78451)+E(f328(f328(f83(a1),f328(f328(f84(a1),x78451),f854(x78451,x78452,x78453))),f853(x78451,x78452,x78453)),x78452)+~P107(f328(x78453,f2(a1)))+P107(f328(f328(f240(a1),x78451),f2(a1)))
% 28.33/28.22 [7902]P147(x79021,x79022,x79023)+~P107(f328(x79021,x79022))+~P107(f328(x79021,f848(x79023,x79022,x79021)))+P107(f328(f328(f239(a1),f847(x79023,x79022,x79021)),f2(a1)))
% 28.33/28.22 [7906]P148(x79061,x79062,x79063)+~P107(f328(x79061,f854(x79063,x79062,x79061)))+~P107(f328(x79061,f2(a1)))+P107(f328(f328(f239(a1),f852(x79063,x79062,x79061)),f2(a1)))
% 28.33/28.22 [7979]~P71(x79791)+~P107(f328(f328(f240(x79791),f328(f328(f291(x79791),x79793),x79792)),f2(x79791)))+P107(f328(f328(f240(x79791),x79792),f2(x79791)))+P107(f328(f328(f240(x79791),x79793),f2(x79791)))
% 28.33/28.22 [7980]~P127(x79801)+~P107(f328(f328(f239(x79801),f328(f328(f84(x79801),x79803),x79802)),f2(x79801)))+P107(f328(f328(f239(x79801),x79802),f2(x79801)))+P107(f328(f328(f239(x79801),x79803),f2(x79801)))
% 28.33/28.22 [7981]~P71(x79811)+~P107(f328(f328(f239(x79811),f328(f328(f291(x79811),x79813),x79812)),f2(x79811)))+P107(f328(f328(f239(x79811),x79812),f2(x79811)))+P107(f328(f328(f239(x79811),x79813),f2(x79811)))
% 28.33/28.22 [8094]P147(x80943,x80942,x80941)+E(x80941,f2(a1))+E(f328(f328(f83(a1),f328(f328(f84(a1),x80941),f849(x80941,x80942,x80943))),f848(x80941,x80942,x80943)),x80942)+P107(f328(f328(f240(a1),x80941),f847(x80941,x80942,x80943)))
% 28.33/28.22 [8095]P148(x80953,x80952,x80951)+E(x80951,f2(a1))+E(f328(f328(f83(a1),f328(f328(f84(a1),x80951),f854(x80951,x80952,x80953))),f853(x80951,x80952,x80953)),x80952)+P107(f328(f328(f240(a1),x80951),f852(x80951,x80952,x80953)))
% 28.33/28.22 [8107]P147(x81073,x81072,x81071)+E(x81071,f2(a1))+E(f328(f328(f83(a1),f328(f328(f84(a1),x81071),f851(x81071,x81072,x81073))),f847(x81071,x81072,x81073)),x81072)+P107(f328(f328(f239(a1),f2(a1)),f848(x81071,x81072,x81073)))
% 28.33/28.22 [8108]P148(x81083,x81082,x81081)+E(x81081,f2(a1))+E(f328(f328(f83(a1),f328(f328(f84(a1),x81081),f856(x81081,x81082,x81083))),f852(x81081,x81082,x81083)),x81082)+P107(f328(f328(f239(a1),f2(a1)),f853(x81081,x81082,x81083)))
% 28.33/28.22 [8155]P147(x81553,x81552,x81551)+~P107(f328(x81553,x81552))+E(f328(f328(f83(a1),f328(f328(f84(a1),x81551),f849(x81551,x81552,x81553))),f848(x81551,x81552,x81553)),x81552)+P107(f328(f328(f240(a1),x81551),f847(x81551,x81552,x81553)))
% 28.33/28.22 [8167]P148(x81673,x81672,x81671)+E(f328(f328(f83(a1),f328(f328(f84(a1),x81671),f854(x81671,x81672,x81673))),f853(x81671,x81672,x81673)),x81672)+P107(f328(f328(f240(a1),x81671),f852(x81671,x81672,x81673)))+~P107(f328(x81673,f2(a1)))
% 28.33/28.22 [8173]P147(x81733,x81732,x81731)+~P107(f328(x81733,x81732))+E(f328(f328(f83(a1),f328(f328(f84(a1),x81731),f851(x81731,x81732,x81733))),f847(x81731,x81732,x81733)),x81732)+P107(f328(f328(f239(a1),f2(a1)),f848(x81731,x81732,x81733)))
% 28.33/28.22 [8181]P148(x81813,x81812,x81811)+E(f328(f328(f83(a1),f328(f328(f84(a1),x81811),f856(x81811,x81812,x81813))),f852(x81811,x81812,x81813)),x81812)+P107(f328(f328(f239(a1),f2(a1)),f853(x81811,x81812,x81813)))+~P107(f328(x81813,f2(a1)))
% 28.33/28.22 [8192]P147(x81923,x81922,x81921)+E(x81921,f2(a1))+E(f328(f328(f83(a1),f328(f328(f84(a1),x81921),f849(x81921,x81922,x81923))),f848(x81921,x81922,x81923)),x81922)+~P107(f328(x81923,f847(x81921,x81922,x81923)))
% 28.33/28.22 [8193]P148(x81933,x81932,x81931)+E(x81931,f2(a1))+E(f328(f328(f83(a1),f328(f328(f84(a1),x81931),f854(x81931,x81932,x81933))),f853(x81931,x81932,x81933)),x81932)+~P107(f328(x81933,f856(x81931,x81932,x81933)))
% 28.33/28.22 [8194]P147(x81943,x81942,x81941)+E(x81941,f2(a1))+E(f328(f328(f83(a1),f328(f328(f84(a1),x81941),f851(x81941,x81942,x81943))),f847(x81941,x81942,x81943)),x81942)+~P107(f328(x81943,f848(x81941,x81942,x81943)))
% 28.33/28.22 [8195]P148(x81953,x81952,x81951)+E(x81951,f2(a1))+E(f328(f328(f83(a1),f328(f328(f84(a1),x81951),f856(x81951,x81952,x81953))),f852(x81951,x81952,x81953)),x81952)+~P107(f328(x81953,f854(x81951,x81952,x81953)))
% 28.33/28.22 [8258]P147(x82583,x82582,x82581)+~P107(f328(x82583,x82582))+E(f328(f328(f83(a1),f328(f328(f84(a1),x82581),f849(x82581,x82582,x82583))),f848(x82581,x82582,x82583)),x82582)+~P107(f328(x82583,f847(x82581,x82582,x82583)))
% 28.33/28.22 [8259]P147(x82593,x82592,x82591)+~P107(f328(x82593,x82592))+E(f328(f328(f83(a1),f328(f328(f84(a1),x82591),f851(x82591,x82592,x82593))),f847(x82591,x82592,x82593)),x82592)+~P107(f328(x82593,f848(x82591,x82592,x82593)))
% 28.33/28.22 [8269]P148(x82693,x82692,x82691)+E(f328(f328(f83(a1),f328(f328(f84(a1),x82691),f854(x82691,x82692,x82693))),f853(x82691,x82692,x82693)),x82692)+~P107(f328(x82693,f856(x82691,x82692,x82693)))+~P107(f328(x82693,f2(a1)))
% 28.33/28.22 [8270]P148(x82703,x82702,x82701)+E(f328(f328(f83(a1),f328(f328(f84(a1),x82701),f856(x82701,x82702,x82703))),f852(x82701,x82702,x82703)),x82702)+~P107(f328(x82703,f854(x82701,x82702,x82703)))+~P107(f328(x82703,f2(a1)))
% 28.33/28.22 [8366]P147(x83663,x83662,x83661)+E(x83661,f2(a1))+E(f328(f328(f83(a1),f328(f328(f84(a1),x83661),f849(x83661,x83662,x83663))),f848(x83661,x83662,x83663)),x83662)+P107(f328(f328(f239(a1),f847(x83661,x83662,x83663)),f2(a1)))
% 28.33/28.22 [8367]P148(x83673,x83672,x83671)+E(x83671,f2(a1))+E(f328(f328(f83(a1),f328(f328(f84(a1),x83671),f854(x83671,x83672,x83673))),f853(x83671,x83672,x83673)),x83672)+P107(f328(f328(f239(a1),f852(x83671,x83672,x83673)),f2(a1)))
% 28.33/28.22 [8406]P147(x84063,x84062,x84061)+~P107(f328(x84063,x84062))+E(f328(f328(f83(a1),f328(f328(f84(a1),x84061),f849(x84061,x84062,x84063))),f848(x84061,x84062,x84063)),x84062)+P107(f328(f328(f239(a1),f847(x84061,x84062,x84063)),f2(a1)))
% 28.33/28.22 [8411]P148(x84113,x84112,x84111)+E(f328(f328(f83(a1),f328(f328(f84(a1),x84111),f854(x84111,x84112,x84113))),f853(x84111,x84112,x84113)),x84112)+~P107(f328(x84113,f2(a1)))+P107(f328(f328(f239(a1),f852(x84111,x84112,x84113)),f2(a1)))
% 28.33/28.22 [8543]P147(x85433,x85432,x85431)+E(x85431,f2(a1))+E(f328(f328(f83(a1),f328(f328(f84(a1),x85431),f851(x85431,x85432,x85433))),f847(x85431,x85432,x85433)),x85432)+E(f328(f328(f83(a1),f328(f328(f84(a1),x85431),f849(x85431,x85432,x85433))),f848(x85431,x85432,x85433)),x85432)
% 28.33/28.22 [8544]P148(x85443,x85442,x85441)+E(x85441,f2(a1))+E(f328(f328(f83(a1),f328(f328(f84(a1),x85441),f856(x85441,x85442,x85443))),f852(x85441,x85442,x85443)),x85442)+E(f328(f328(f83(a1),f328(f328(f84(a1),x85441),f854(x85441,x85442,x85443))),f853(x85441,x85442,x85443)),x85442)
% 28.33/28.22 [8567]P147(x85673,x85672,x85671)+~P107(f328(x85673,x85672))+E(f328(f328(f83(a1),f328(f328(f84(a1),x85671),f851(x85671,x85672,x85673))),f847(x85671,x85672,x85673)),x85672)+E(f328(f328(f83(a1),f328(f328(f84(a1),x85671),f849(x85671,x85672,x85673))),f848(x85671,x85672,x85673)),x85672)
% 28.33/28.22 [8579]P148(x85793,x85792,x85791)+E(f328(f328(f83(a1),f328(f328(f84(a1),x85791),f856(x85791,x85792,x85793))),f852(x85791,x85792,x85793)),x85792)+E(f328(f328(f83(a1),f328(f328(f84(a1),x85791),f854(x85791,x85792,x85793))),f853(x85791,x85792,x85793)),x85792)+~P107(f328(x85793,f2(a1)))
% 28.33/28.22 [9234]~P127(x92341)+~E(x92343,f2(x92341))+~E(x92342,f2(x92341))+P107(f328(f328(f239(x92341),f328(f328(f83(x92341),f328(f328(f84(x92341),x92342),x92342)),f328(f328(f84(x92341),x92343),x92343))),f2(x92341)))
% 28.33/28.22 [10269]~P113(x102691)+~E(x102693,f2(x102691))+~E(x102692,f2(x102691))+P107(f328(f328(f239(x102691),f328(f328(f83(x102691),f328(f328(f248(x102691),x102692),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))),f328(f328(f248(x102691),x102693),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))),f2(x102691)))
% 28.33/28.22 [4941]~E(x49413,x49411)+~P121(x49412)+E(x49411,f2(x49412))+E(f328(f328(f291(x49412),x49413),x49411),f81(x49412))
% 28.33/28.22 [4994]~P98(x49941)+~E(x49943,f190(x49941))+~E(x49942,f190(x49941))+E(f328(f328(f105(x49941),x49942),x49943),f190(x49941))
% 28.33/28.22 [4995]~P103(x49951)+~E(x49953,f246(x49951))+~E(x49952,f246(x49951))+E(f328(f328(f106(x49951),x49952),x49953),f246(x49951))
% 28.33/28.22 [5088]~P121(x50883)+E(x50881,x50882)+E(x50882,f2(x50883))+~E(f328(f328(f291(x50883),x50881),x50882),f81(x50883))
% 28.33/28.22 [5105]~P141(x51052)+E(x51051,f2(x51052))+E(x51053,f2(x51052))+~E(f328(f328(f84(x51052),x51053),x51051),f2(x51052))
% 28.33/28.22 [5106]~P134(x51062)+E(x51061,f2(x51062))+E(x51063,f2(x51062))+~E(f328(f328(f84(x51062),x51063),x51061),f2(x51062))
% 28.33/28.22 [5107]~P134(x51072)+E(x51071,f2(x51072))+E(x51073,f2(x51072))+~E(f328(f328(f84(x51072),x51073),x51071),f2(x51072))
% 28.33/28.22 [5487]~P120(x54873)+E(x54871,x54872)+E(x54871,f328(f82(x54873),x54872))+~E(f328(f328(f84(x54873),x54871),x54871),f328(f328(f84(x54873),x54872),x54872))
% 28.33/28.22 [5525]~P96(x55251)+E(f328(f82(x55251),x55252),x55253)+~E(f328(f328(f105(x55251),x55252),x55253),f246(x55251))+~E(f328(f328(f106(x55251),x55252),x55253),f190(x55251))
% 28.33/28.22 [5599]~P109(x55993)+E(x55991,x55992)+P107(f328(f328(f240(x55993),x55992),x55991))+P107(f328(f328(f240(x55993),x55991),x55992))
% 28.33/28.22 [5600]~P109(x56003)+E(x56001,x56002)+P107(f328(f328(f240(x56003),x56002),x56001))+P107(f328(f328(f240(x56003),x56001),x56002))
% 28.33/28.22 [5601]~P109(x56013)+E(x56011,x56012)+P107(f328(f328(f240(x56013),x56012),x56011))+P107(f328(f328(f240(x56013),x56011),x56012))
% 28.33/28.22 [5602]~P109(x56023)+E(x56021,x56022)+P107(f328(f328(f240(x56023),x56022),x56021))+P107(f328(f328(f240(x56023),x56021),x56022))
% 28.33/28.22 [5603]~P109(x56033)+E(x56031,x56032)+P107(f328(f328(f240(x56033),x56032),x56031))+P107(f328(f328(f240(x56033),x56031),x56032))
% 28.33/28.22 [5604]~P113(x56043)+E(x56041,x56042)+P107(f328(f328(f240(x56043),x56042),x56041))+P107(f328(f328(f240(x56043),x56041),x56042))
% 28.33/28.22 [5605]~P109(x56053)+E(x56051,x56052)+P107(f328(f328(f240(x56053),x56052),x56051))+P107(f328(f328(f240(x56053),x56051),x56052))
% 28.33/28.22 [5606]~E(x56062,x56063)+~P109(x56061)+P107(f328(f328(f239(x56061),x56062),x56063))+P107(f328(f328(f240(x56061),x56062),x56063))
% 28.33/28.22 [5778]P147(x57782,x57783,x57781)+E(x57781,f2(a1))+P107(f328(f328(f240(a1),x57781),f2(a1)))+P107(f328(f328(f240(a1),f2(a1)),x57781))
% 28.33/28.22 [5779]P148(x57792,x57793,x57791)+E(x57791,f2(a1))+P107(f328(f328(f240(a1),x57791),f2(a1)))+P107(f328(f328(f240(a1),f2(a1)),x57791))
% 28.33/28.22 [5804]E(x58041,x58042)+P107(f328(f328(x58043,x58041),x58042))+P107(f328(f328(f240(a911),x58042),x58041))+P107(f328(f328(f240(a911),x58041),x58042))
% 28.33/28.22 [5866]~P111(x58663)+E(x58661,x58662)+~P107(f328(f328(f239(x58663),x58662),x58661))+P107(f328(f328(f240(x58663),x58662),x58661))
% 28.33/28.22 [5867]~P109(x58673)+E(x58671,x58672)+~P107(f328(f328(f239(x58673),x58671),x58672))+P107(f328(f328(f240(x58673),x58671),x58672))
% 28.33/28.22 [5868]~P109(x58683)+E(x58681,x58682)+~P107(f328(f328(f239(x58683),x58681),x58682))+P107(f328(f328(f240(x58683),x58681),x58682))
% 28.33/28.22 [5869]~P111(x58693)+E(x58691,x58692)+~P107(f328(f328(f239(x58693),x58691),x58692))+P107(f328(f328(f240(x58693),x58691),x58692))
% 28.33/28.22 [5870]~P111(x58703)+E(x58701,x58702)+~P107(f328(f328(f239(x58703),x58701),x58702))+P107(f328(f328(f240(x58703),x58701),x58702))
% 28.33/28.22 [5871]~P111(x58713)+E(x58711,x58712)+~P107(f328(f328(f239(x58713),x58711),x58712))+P107(f328(f328(f240(x58713),x58711),x58712))
% 28.33/28.22 [5872]~P111(x58723)+E(x58721,x58722)+~P107(f328(f328(f239(x58723),x58721),x58722))+P107(f328(f328(f240(x58723),x58721),x58722))
% 28.33/28.22 [5873]~P111(x58733)+E(x58731,x58732)+~P107(f328(f328(f239(x58733),x58731),x58732))+P107(f328(f328(f240(x58733),x58731),x58732))
% 28.33/28.22 [5874]~P111(x58743)+E(x58741,x58742)+~P107(f328(f328(f239(x58743),x58741),x58742))+P107(f328(f328(f240(x58743),x58741),x58742))
% 28.33/28.22 [5981]P147(x59811,x59812,x59813)+~P107(f328(x59811,x59812))+P107(f328(f328(f240(a1),x59813),f2(a1)))+P107(f328(f328(f240(a1),f2(a1)),x59813))
% 28.33/28.22 [6030]P148(x60301,x60302,x60303)+~P107(f328(x60301,f2(a1)))+P107(f328(f328(f240(a1),x60303),f2(a1)))+P107(f328(f328(f240(a1),f2(a1)),x60303))
% 28.33/28.22 [6035]~P101(x60351)+E(f328(f328(f105(x60351),x60352),f13(x60351,x60353)),x60352)+~P107(f328(f64(x60351),x60353))+~P107(f328(f328(f330(x60351),x60352),x60353))
% 28.33/28.22 [6036]~P101(x60361)+E(f328(f328(f106(x60361),x60362),f12(x60361,x60363)),x60362)+~P107(f328(f64(x60361),x60363))+~P107(f328(f328(f330(x60361),x60362),x60363))
% 28.33/28.22 [6072]~P109(x60721)+E(f328(f328(f243(x60721),x60722),f17(x60721,x60723)),f17(x60721,x60723))+~P107(f328(f64(x60721),x60723))+~P107(f328(f328(f330(x60721),x60722),x60723))
% 28.33/28.22 [6073]~P109(x60731)+E(f328(f328(f238(x60731),x60732),f16(x60731,x60733)),f16(x60731,x60733))+~P107(f328(f64(x60731),x60733))+~P107(f328(f328(f330(x60731),x60732),x60733))
% 28.33/28.22 [6074]~P101(x60741)+E(f328(f328(f105(x60741),x60742),f12(x60741,x60743)),f12(x60741,x60743))+~P107(f328(f64(x60741),x60743))+~P107(f328(f328(f330(x60741),x60742),x60743))
% 28.33/28.22 [6075]~P101(x60751)+E(f328(f328(f106(x60751),x60752),f13(x60751,x60753)),f13(x60751,x60753))+~P107(f328(f64(x60751),x60753))+~P107(f328(f328(f330(x60751),x60752),x60753))
% 28.33/28.22 [6113]E(x61131,x61132)+~P111(x61133)+~P107(f328(f328(f239(x61133),x61132),x61131))+~P107(f328(f328(f239(x61133),x61131),x61132))
% 28.33/28.22 [6114]E(x61141,x61142)+~P111(x61143)+~P107(f328(f328(f239(x61143),x61142),x61141))+~P107(f328(f328(f239(x61143),x61141),x61142))
% 28.33/28.22 [6115]E(x61151,x61152)+~P111(x61153)+~P107(f328(f328(f239(x61153),x61152),x61151))+~P107(f328(f328(f239(x61153),x61151),x61152))
% 28.33/28.22 [6116]E(x61161,x61162)+~P111(x61163)+~P107(f328(f328(f239(x61163),x61162),x61161))+~P107(f328(f328(f239(x61163),x61161),x61162))
% 28.33/28.22 [6118]~E(x61181,x61182)+~P109(x61183)+~P107(f328(f328(f240(x61183),x61181),x61182))+~P107(f328(f328(f239(x61183),x61181),x61182))
% 28.33/28.22 [6260]~P110(x62601)+P107(f328(f328(f239(x62601),x62603),x62602))+~P107(f328(f328(f239(x62601),x62602),x62603))+P107(f328(f328(f240(x62601),x62602),x62603))
% 28.33/28.22 [6286]~P109(x62861)+~P107(f328(f64(x62861),x62863))+P107(f328(f328(f239(x62861),x62862),f16(x62861,x62863)))+~P107(f328(f328(f330(x62861),x62862),x62863))
% 28.33/28.22 [6331]~P109(x63311)+E(f328(f328(f243(x63311),x63312),f14(x63311,f238(x63311),x63313)),x63312)+~P107(f328(f64(x63311),x63313))+~P107(f328(f328(f330(x63311),x63312),x63313))
% 28.33/28.22 [6332]~P109(x63321)+E(f328(f328(f238(x63321),x63322),f15(x63321,f243(x63321),x63323)),x63322)+~P107(f328(f64(x63321),x63323))+~P107(f328(f328(f330(x63321),x63322),x63323))
% 28.33/28.22 [6470]E(x64701,x64702)+~E(f328(f328(f3(a911),x64701),x64703),f328(f328(f3(a911),x64702),x64703))+~P107(f328(f328(f239(a911),x64703),x64701))+~P107(f328(f328(f239(a911),x64703),x64702))
% 28.33/28.22 [6496]~P109(x64961)+~P107(f328(f64(x64961),x64962))+~P107(f328(f328(f330(x64961),x64963),x64962))+P107(f328(f328(f239(x64961),f17(x64961,x64962)),x64963))
% 28.33/28.22 [6536]E(x65361,f2(a911))+~P107(f328(f51(x65363,x65361),x65362))+P107(f328(f328(f240(a911),f2(a911)),x65361))+P107(f328(f328(f240(a911),x65361),f328(f260(a911,a911),x65362)))
% 28.33/28.22 [6560]P147(x65602,x65603,x65601)+E(x65601,f2(a1))+P107(f328(f328(f240(a1),x65601),f847(x65601,x65603,x65602)))+P107(f328(f328(f240(a1),f2(a1)),x65601))
% 28.33/28.22 [6561]P148(x65612,x65613,x65611)+E(x65611,f2(a1))+P107(f328(f328(f240(a1),x65611),f852(x65611,x65613,x65612)))+P107(f328(f328(f240(a1),f2(a1)),x65611))
% 28.33/28.22 [6562]~P109(x65621)+E(f328(f328(f243(x65621),x65622),f15(x65621,f243(x65621),x65623)),f15(x65621,f243(x65621),x65623))+~P107(f328(f64(x65621),x65623))+~P107(f328(f328(f330(x65621),x65622),x65623))
% 28.33/28.22 [6563]~P109(x65631)+E(f328(f328(f238(x65631),x65632),f14(x65631,f238(x65631),x65633)),f14(x65631,f238(x65631),x65633))+~P107(f328(f64(x65631),x65633))+~P107(f328(f328(f330(x65631),x65632),x65633))
% 28.33/28.22 [6569]~P107(f328(x65691,x65692))+P107(f328(x65691,f868(x65692,x65691,x65693)))+P107(f328(x65691,f2(a911)))+~P107(f328(f328(f240(a911),x65692),x65693))
% 28.33/28.22 [6624]~P107(f328(x66241,x66242))+~P107(f328(f64(x66243),x66242))+P107(f328(x66241,f382(x66241,x66242,x66243)))+P107(f328(x66241,f190(f918(x66243,a905))))
% 28.33/28.22 [6639]~P113(x66391)+~P94(x66391)+P107(f328(f328(f240(x66391),f328(f108(x66391),x66392)),f328(f108(x66391),x66393)))+~P107(f328(f328(f240(a1),x66392),x66393))
% 28.33/28.22 [6640]~P113(x66401)+~P94(x66401)+P107(f328(f328(f239(x66401),f328(f108(x66401),x66402)),f328(f108(x66401),x66403)))+~P107(f328(f328(f239(a1),x66402),x66403))
% 28.33/28.22 [6643]~P107(f328(x66431,x66433))+~P107(f328(f64(x66432),x66433))+P107(f328(f64(x66432),f382(x66431,x66433,x66432)))+P107(f328(x66431,f190(f918(x66432,a905))))
% 28.33/28.22 [6676]P147(x66761,x66762,x66763)+~P107(f328(x66761,x66762))+P107(f328(f328(f240(a1),x66763),f847(x66763,x66762,x66761)))+P107(f328(f328(f240(a1),f2(a1)),x66763))
% 28.33/28.22 [6714]P148(x67141,x67142,x67143)+P107(f328(f328(f240(a1),x67143),f852(x67143,x67142,x67141)))+~P107(f328(x67141,f2(a1)))+P107(f328(f328(f240(a1),f2(a1)),x67143))
% 28.33/28.22 [6744]~P112(x67441)+~P95(x67441)+E(f328(f328(f243(x67441),f328(f108(x67441),x67442)),f328(f108(x67441),x67443)),f328(f108(x67441),x67443))+P107(f328(f328(f239(x67441),f328(f108(x67441),x67442)),f328(f108(x67441),x67443)))
% 28.33/28.22 [6745]~P112(x67451)+~P95(x67451)+E(f328(f328(f238(x67451),f328(f108(x67451),x67452)),f328(f108(x67451),x67453)),f328(f108(x67451),x67452))+P107(f328(f328(f239(x67451),f328(f108(x67451),x67452)),f328(f108(x67451),x67453)))
% 28.33/28.22 [6749]E(x67491,f2(a911))+~P107(f328(f51(x67493,x67491),x67492))+~P107(f328(f328(f240(a911),f2(a911)),x67491))+P107(f328(f328(f239(a911),f2(a911)),f328(f260(a911,a911),x67492)))
% 28.33/28.22 [6802]P147(x68022,x68023,x68021)+E(x68021,f2(a1))+~P107(f328(x68022,f847(x68021,x68023,x68022)))+P107(f328(f328(f240(a1),f2(a1)),x68021))
% 28.33/28.22 [6803]P148(x68032,x68033,x68031)+E(x68031,f2(a1))+~P107(f328(x68032,f856(x68031,x68033,x68032)))+P107(f328(f328(f240(a1),f2(a1)),x68031))
% 28.33/28.22 [6807]P107(f328(x68071,x68072))+~P107(f328(f64(x68073),x68072))+P107(f328(x68071,f793(x68071,x68072,x68073)))+~P107(f328(x68071,f190(f918(x68073,a905))))
% 28.33/28.22 [6826]P107(f328(x68261,x68262))+P107(f328(f64(x68263),f793(x68261,x68262,x68263)))+~P107(f328(f64(x68263),x68262))+~P107(f328(x68261,f190(f918(x68263,a905))))
% 28.33/28.22 [6888]P147(x68881,x68882,x68883)+~P107(f328(x68881,x68882))+~P107(f328(x68881,f847(x68883,x68882,x68881)))+P107(f328(f328(f240(a1),f2(a1)),x68883))
% 28.33/28.22 [6918]P148(x69181,x69182,x69183)+~P107(f328(x69181,f856(x69183,x69182,x69181)))+~P107(f328(x69181,f2(a1)))+P107(f328(f328(f240(a1),f2(a1)),x69183))
% 28.33/28.22 [6929]E(x69291,f2(a911))+~P107(f328(f51(x69293,x69291),x69292))+P107(f328(f328(f239(a911),f328(f260(a911,a911),x69292)),f2(a911)))+P107(f328(f328(f240(a911),f2(a911)),x69291))
% 28.33/28.22 [7023]~P94(x70233)+~P113(x70233)+~P107(f328(f328(f240(x70233),f328(f108(x70233),x70231)),f328(f108(x70233),x70232)))+P107(f328(f328(f240(a1),x70231),x70232))
% 28.33/28.22 [7024]~P94(x70243)+~P113(x70243)+~P107(f328(f328(f239(x70243),f328(f108(x70243),x70241)),f328(f108(x70243),x70242)))+P107(f328(f328(f239(a1),x70241),x70242))
% 28.33/28.22 [7054]~P109(x70541)+~P18(x70541,x70543)+P18(x70541,f328(f328(f153(x70541),x70542),x70543))+~P107(f328(f328(f239(x70541),x70542),f656(x70543,x70542,x70541)))
% 28.33/28.22 [7055]~P109(x70551)+~P18(x70551,x70553)+P18(x70551,f328(f328(f153(x70551),x70552),x70553))+~P107(f328(f328(f239(x70551),x70552),f658(x70553,x70552,x70551)))
% 28.33/28.22 [7056]~P109(x70561)+~P18(x70561,x70563)+P18(x70561,f328(f328(f153(x70561),x70562),x70563))+~P107(f328(f328(f239(x70561),x70562),f747(x70562,x70563,x70561)))
% 28.33/28.22 [7139]P147(x71392,x71393,x71391)+E(x71391,f2(a1))+P107(f328(f328(f240(a1),x71391),f2(a1)))+P107(f328(f328(f240(a1),f848(x71391,x71393,x71392)),x71391))
% 28.33/28.22 [7140]P148(x71402,x71403,x71401)+E(x71401,f2(a1))+P107(f328(f328(f240(a1),x71401),f2(a1)))+P107(f328(f328(f240(a1),f853(x71401,x71403,x71402)),x71401))
% 28.33/28.22 [7144]~P109(x71441)+~P95(x71441)+P107(f328(f328(f240(x71441),f328(f108(x71441),x71442)),f328(f108(x71441),x71443)))+P107(f328(f328(f239(x71441),f328(f108(x71441),x71443)),f328(f108(x71441),x71442)))
% 28.33/28.22 [7175]P147(x71752,x71753,x71751)+E(x71751,f2(a1))+P107(f328(f328(f239(a1),f847(x71751,x71753,x71752)),f2(a1)))+P107(f328(f328(f240(a1),f2(a1)),x71751))
% 28.33/28.22 [7176]P148(x71762,x71763,x71761)+E(x71761,f2(a1))+P107(f328(f328(f239(a1),f852(x71761,x71763,x71762)),f2(a1)))+P107(f328(f328(f240(a1),f2(a1)),x71761))
% 28.33/28.22 [7201]~P109(x72011)+~P18(x72011,x72013)+E(f328(f328(f150(x72011,x72011,f7(x72011)),x72012),f172(x72011,x72012,x72013)),x72013)+~P107(f328(f328(f330(x72011),x72012),f328(f174(x72011),x72013)))
% 28.33/28.22 [7247]P147(x72471,x72472,x72473)+~P107(f328(x72471,x72472))+P107(f328(f328(f240(a1),x72473),f2(a1)))+P107(f328(f328(f240(a1),f848(x72473,x72472,x72471)),x72473))
% 28.33/28.22 [7253]~P112(x72531)+~P95(x72531)+E(f328(f328(f243(x72531),f328(f108(x72531),x72532)),f328(f108(x72531),x72533)),f328(f108(x72531),x72532))+~P107(f328(f328(f239(x72531),f328(f108(x72531),x72532)),f328(f108(x72531),x72533)))
% 28.33/28.22 [7254]~P112(x72541)+~P95(x72541)+E(f328(f328(f238(x72541),f328(f108(x72541),x72542)),f328(f108(x72541),x72543)),f328(f108(x72541),x72543))+~P107(f328(f328(f239(x72541),f328(f108(x72541),x72542)),f328(f108(x72541),x72543)))
% 28.33/28.22 [7268]P148(x72681,x72682,x72683)+~P107(f328(x72681,f2(a1)))+P107(f328(f328(f240(a1),x72683),f2(a1)))+P107(f328(f328(f240(a1),f853(x72683,x72682,x72681)),x72683))
% 28.33/28.22 [7276]P147(x72761,x72762,x72763)+~P107(f328(x72761,x72762))+P107(f328(f328(f239(a1),f847(x72763,x72762,x72761)),f2(a1)))+P107(f328(f328(f240(a1),f2(a1)),x72763))
% 28.33/28.22 [7300]P148(x73001,x73002,x73003)+~P107(f328(x73001,f2(a1)))+P107(f328(f328(f239(a1),f852(x73003,x73002,x73001)),f2(a1)))+P107(f328(f328(f240(a1),f2(a1)),x73003))
% 28.33/28.22 [7328]~P107(f328(x73281,x73282))+P107(f328(x73281,f2(a911)))+~P107(f328(f328(f240(a911),x73282),x73283))+P107(f328(f328(f240(a911),f868(x73282,x73281,x73283)),x73283))
% 28.33/28.22 [7345]~P109(x73451)+~P18(x73451,x73453)+P18(x73451,f328(f328(f153(x73451),x73452),x73453))+P107(f328(f328(f330(x73451),f656(x73453,x73452,x73451)),f328(f174(x73451),x73453)))
% 28.33/28.22 [7346]~P109(x73461)+~P18(x73461,x73463)+P18(x73461,f328(f328(f153(x73461),x73462),x73463))+P107(f328(f328(f330(x73461),f658(x73463,x73462,x73461)),f328(f174(x73461),x73463)))
% 28.33/28.22 [7347]~P109(x73471)+~P18(x73471,x73473)+P18(x73471,f328(f328(f153(x73471),x73472),x73473))+P107(f328(f328(f330(x73471),f747(x73472,x73473,x73471)),f328(f174(x73471),x73473)))
% 28.33/28.22 [7467]~P109(x74671)+~P10(x74671)+~P107(f328(f328(f240(x74671),x74673),f40(x74671,x74672)))+P107(f328(f328(f330(x74671),f627(x74672,x74673,x74671)),x74672))
% 28.33/28.22 [7629]~P109(x76291)+~P10(x76291)+~P107(f328(f328(f240(x76291),f41(x76291,x76293)),x76292))+P107(f328(f328(f240(x76291),f640(x76292,x76293,x76291)),x76292))
% 28.33/28.22 [7630]~P109(x76301)+~P10(x76301)+~P107(f328(f328(f240(x76301),f41(x76301,x76303)),x76302))+P107(f328(f328(f330(x76301),f640(x76302,x76303,x76301)),x76303))
% 28.33/28.22 [7643]P147(x76432,x76433,x76431)+E(x76431,f2(a1))+P107(f328(f328(f240(a1),x76431),f847(x76431,x76433,x76432)))+P107(f328(f328(f240(a1),f848(x76431,x76433,x76432)),x76431))
% 28.33/28.22 [7644]P148(x76442,x76443,x76441)+E(x76441,f2(a1))+P107(f328(f328(f240(a1),x76441),f852(x76441,x76443,x76442)))+P107(f328(f328(f240(a1),f853(x76441,x76443,x76442)),x76441))
% 28.33/28.22 [7733]P147(x77333,x77332,x77331)+E(x77331,f2(a1))+E(f328(f328(f83(a1),f328(f328(f84(a1),x77331),f851(x77331,x77332,x77333))),f847(x77331,x77332,x77333)),x77332)+P107(f328(f328(f240(a1),f2(a1)),x77331))
% 28.33/28.22 [7734]P148(x77343,x77342,x77341)+E(x77341,f2(a1))+E(f328(f328(f83(a1),f328(f328(f84(a1),x77341),f856(x77341,x77342,x77343))),f852(x77341,x77342,x77343)),x77342)+P107(f328(f328(f240(a1),f2(a1)),x77341))
% 28.33/28.22 [7735]~P130(x77351)+~P107(f328(f328(f240(x77351),x77352),f2(x77351)))+P107(f328(f328(f240(x77351),f328(f328(f84(x77351),x77352),x77353)),f2(x77351)))+~P107(f328(f328(f240(x77351),f2(x77351)),x77353))
% 28.33/28.22 [7736]~P130(x77361)+~P107(f328(f328(f240(x77361),x77363),f2(x77361)))+P107(f328(f328(f240(x77361),f328(f328(f84(x77361),x77362),x77363)),f2(x77361)))+~P107(f328(f328(f240(x77361),f2(x77361)),x77362))
% 28.33/28.22 [7737]~P130(x77371)+~P107(f328(f328(f240(x77371),x77372),f2(x77371)))+P107(f328(f328(f240(x77371),f328(f328(f84(x77371),x77372),x77373)),f2(x77371)))+~P107(f328(f328(f240(x77371),f2(x77371)),x77373))
% 28.33/28.22 [7738]~P71(x77381)+~P107(f328(f328(f240(x77381),x77383),f2(x77381)))+P107(f328(f328(f240(x77381),f328(f328(f291(x77381),x77382),x77383)),f2(x77381)))+~P107(f328(f328(f240(x77381),f2(x77381)),x77382))
% 28.33/28.22 [7739]~P71(x77391)+~P107(f328(f328(f240(x77391),x77392),f2(x77391)))+P107(f328(f328(f240(x77391),f328(f328(f291(x77391),x77392),x77393)),f2(x77391)))+~P107(f328(f328(f240(x77391),f2(x77391)),x77393))
% 28.33/28.22 [7740]~P72(x77401)+~P107(f328(f328(f240(x77401),x77403),f2(x77401)))+P107(f328(f328(f240(x77401),f328(f328(f291(x77401),x77402),x77403)),f2(x77401)))+~P107(f328(f328(f240(x77401),f2(x77401)),x77402))
% 28.33/28.22 [7741]~P72(x77411)+~P107(f328(f328(f240(x77411),x77412),f2(x77411)))+P107(f328(f328(f240(x77411),f328(f328(f291(x77411),x77412),x77413)),f2(x77411)))+~P107(f328(f328(f240(x77411),f2(x77411)),x77413))
% 28.33/28.22 [7742]~P135(x77421)+~P107(f328(f328(f239(x77421),x77422),f2(x77421)))+P107(f328(f328(f239(x77421),f328(f328(f84(x77421),x77422),x77423)),f2(x77421)))+~P107(f328(f328(f239(x77421),f2(x77421)),x77423))
% 28.33/28.22 [7743]~P127(x77431)+~P107(f328(f328(f239(x77431),x77433),f2(x77431)))+P107(f328(f328(f239(x77431),f328(f328(f84(x77431),x77432),x77433)),f2(x77431)))+~P107(f328(f328(f239(x77431),f2(x77431)),x77432))
% 28.33/28.22 [7744]~P127(x77441)+~P107(f328(f328(f239(x77441),x77442),f2(x77441)))+P107(f328(f328(f239(x77441),f328(f328(f84(x77441),x77442),x77443)),f2(x77441)))+~P107(f328(f328(f239(x77441),f2(x77441)),x77443))
% 28.33/28.22 [7745]~P135(x77451)+~P107(f328(f328(f239(x77451),x77453),f2(x77451)))+P107(f328(f328(f239(x77451),f328(f328(f84(x77451),x77452),x77453)),f2(x77451)))+~P107(f328(f328(f239(x77451),f2(x77451)),x77452))
% 28.33/28.22 [7746]~P135(x77461)+~P107(f328(f328(f239(x77461),x77463),f2(x77461)))+P107(f328(f328(f239(x77461),f328(f328(f84(x77461),x77462),x77463)),f2(x77461)))+~P107(f328(f328(f239(x77461),f2(x77461)),x77462))
% 28.33/28.22 [7747]~P135(x77471)+~P107(f328(f328(f239(x77471),x77472),f2(x77471)))+P107(f328(f328(f239(x77471),f328(f328(f84(x77471),x77472),x77473)),f2(x77471)))+~P107(f328(f328(f239(x77471),f2(x77471)),x77473))
% 28.33/28.22 [7748]~P135(x77481)+~P107(f328(f328(f239(x77481),x77482),f2(x77481)))+P107(f328(f328(f239(x77481),f328(f328(f84(x77481),x77482),x77483)),f2(x77481)))+~P107(f328(f328(f239(x77481),f2(x77481)),x77483))
% 28.33/28.22 [7749]~P71(x77491)+~P107(f328(f328(f239(x77491),x77493),f2(x77491)))+P107(f328(f328(f239(x77491),f328(f328(f291(x77491),x77492),x77493)),f2(x77491)))+~P107(f328(f328(f239(x77491),f2(x77491)),x77492))
% 28.33/28.22 [7750]~P71(x77501)+~P107(f328(f328(f239(x77501),x77502),f2(x77501)))+P107(f328(f328(f239(x77501),f328(f328(f291(x77501),x77502),x77503)),f2(x77501)))+~P107(f328(f328(f239(x77501),f2(x77501)),x77503))
% 28.33/28.22 [7751]~P72(x77511)+~P107(f328(f328(f240(x77511),x77513),f2(x77511)))+P107(f328(f328(f239(x77511),f328(f328(f291(x77511),x77512),x77513)),f2(x77511)))+~P107(f328(f328(f239(x77511),f2(x77511)),x77512))
% 28.33/28.22 [7752]~P72(x77521)+~P107(f328(f328(f239(x77521),x77522),f2(x77521)))+P107(f328(f328(f239(x77521),f328(f328(f291(x77521),x77522),x77523)),f2(x77521)))+~P107(f328(f328(f240(x77521),f2(x77521)),x77523))
% 28.33/28.22 [7768]P147(x77681,x77682,x77683)+~P107(f328(x77681,x77682))+P107(f328(f328(f240(a1),x77683),f847(x77683,x77682,x77681)))+P107(f328(f328(f240(a1),f848(x77683,x77682,x77681)),x77683))
% 28.33/28.22 [7781]P148(x77811,x77812,x77813)+P107(f328(f328(f240(a1),x77813),f852(x77813,x77812,x77811)))+~P107(f328(x77811,f2(a1)))+P107(f328(f328(f240(a1),f853(x77813,x77812,x77811)),x77813))
% 28.33/28.22 [7831]P147(x78312,x78313,x78311)+E(x78311,f2(a1))+~P107(f328(x78312,f847(x78311,x78313,x78312)))+P107(f328(f328(f240(a1),f848(x78311,x78313,x78312)),x78311))
% 28.33/28.22 [7832]P148(x78322,x78323,x78321)+E(x78321,f2(a1))+~P107(f328(x78322,f856(x78321,x78323,x78322)))+P107(f328(f328(f240(a1),f853(x78321,x78323,x78322)),x78321))
% 28.33/28.22 [7842]P147(x78423,x78422,x78421)+~P107(f328(x78423,x78422))+E(f328(f328(f83(a1),f328(f328(f84(a1),x78421),f851(x78421,x78422,x78423))),f847(x78421,x78422,x78423)),x78422)+P107(f328(f328(f240(a1),f2(a1)),x78421))
% 28.33/28.22 [7858]P148(x78583,x78582,x78581)+E(f328(f328(f83(a1),f328(f328(f84(a1),x78581),f856(x78581,x78582,x78583))),f852(x78581,x78582,x78583)),x78582)+~P107(f328(x78583,f2(a1)))+P107(f328(f328(f240(a1),f2(a1)),x78581))
% 28.33/28.22 [7886]~P107(f328(x78861,x78863))+~P107(f328(f64(x78862),x78863))+P107(f328(f328(f330(x78862),f409(x78861,x78863,x78862)),f382(x78861,x78863,x78862)))+P107(f328(x78861,f190(f918(x78862,a905))))
% 28.33/28.22 [7897]P147(x78971,x78972,x78973)+~P107(f328(x78971,x78972))+~P107(f328(x78971,f847(x78973,x78972,x78971)))+P107(f328(f328(f240(a1),f848(x78973,x78972,x78971)),x78973))
% 28.33/28.22 [7903]P148(x79031,x79032,x79033)+~P107(f328(x79031,f856(x79033,x79032,x79031)))+~P107(f328(x79031,f2(a1)))+P107(f328(f328(f240(a1),f853(x79033,x79032,x79031)),x79033))
% 28.33/28.22 [7974]~P95(x79741)+~P109(x79741)+~P107(f328(f328(f240(x79741),f328(f108(x79741),x79742)),f328(f108(x79741),x79743)))+~P107(f328(f328(f239(x79741),f328(f108(x79741),x79743)),f328(f108(x79741),x79742)))
% 28.33/28.22 [8010]~P71(x80101)+~P107(f328(f328(f240(x80101),f328(f328(f291(x80101),x80103),x80102)),f2(x80101)))+P107(f328(f328(f240(x80101),x80102),f2(x80101)))+P107(f328(f328(f240(x80101),f2(x80101)),x80102))
% 28.33/28.22 [8011]~P71(x80111)+~P107(f328(f328(f240(x80111),f328(f328(f291(x80111),x80112),x80113)),f2(x80111)))+P107(f328(f328(f240(x80111),x80112),f2(x80111)))+P107(f328(f328(f240(x80111),f2(x80111)),x80112))
% 28.33/28.22 [8012]~P127(x80121)+~P107(f328(f328(f239(x80121),f328(f328(f84(x80121),x80123),x80122)),f2(x80121)))+P107(f328(f328(f239(x80121),x80122),f2(x80121)))+P107(f328(f328(f239(x80121),f2(x80121)),x80122))
% 28.33/28.22 [8013]~P127(x80131)+~P107(f328(f328(f239(x80131),f328(f328(f84(x80131),x80132),x80133)),f2(x80131)))+P107(f328(f328(f239(x80131),x80132),f2(x80131)))+P107(f328(f328(f239(x80131),f2(x80131)),x80132))
% 28.33/28.22 [8014]~P71(x80141)+~P107(f328(f328(f239(x80141),f328(f328(f291(x80141),x80143),x80142)),f2(x80141)))+P107(f328(f328(f239(x80141),x80142),f2(x80141)))+P107(f328(f328(f239(x80141),f2(x80141)),x80142))
% 28.33/28.22 [8015]~P71(x80151)+~P107(f328(f328(f239(x80151),f328(f328(f291(x80151),x80152),x80153)),f2(x80151)))+P107(f328(f328(f239(x80151),x80152),f2(x80151)))+P107(f328(f328(f239(x80151),f2(x80151)),x80152))
% 28.33/28.22 [8039]~P71(x80391)+~P107(f328(f328(f240(x80391),f328(f328(f291(x80391),x80392),x80393)),f2(x80391)))+P107(f328(f328(f240(x80391),f2(x80391)),x80392))+P107(f328(f328(f240(x80391),f2(x80391)),x80393))
% 28.33/28.22 [8040]~P127(x80401)+~P107(f328(f328(f239(x80401),f328(f328(f84(x80401),x80402),x80403)),f2(x80401)))+P107(f328(f328(f239(x80401),f2(x80401)),x80402))+P107(f328(f328(f239(x80401),f2(x80401)),x80403))
% 28.33/28.22 [8041]~P71(x80411)+~P107(f328(f328(f239(x80411),f328(f328(f291(x80411),x80412),x80413)),f2(x80411)))+P107(f328(f328(f239(x80411),f2(x80411)),x80412))+P107(f328(f328(f239(x80411),f2(x80411)),x80413))
% 28.33/28.22 [8063]P147(x80632,x80633,x80631)+E(x80631,f2(a1))+P107(f328(f328(f239(a1),f847(x80631,x80633,x80632)),f2(a1)))+P107(f328(f328(f240(a1),f848(x80631,x80633,x80632)),x80631))
% 28.33/28.22 [8064]P148(x80642,x80643,x80641)+E(x80641,f2(a1))+P107(f328(f328(f239(a1),f852(x80641,x80643,x80642)),f2(a1)))+P107(f328(f328(f240(a1),f853(x80641,x80643,x80642)),x80641))
% 28.33/28.22 [8071]~P125(x80711)+~P107(f328(f328(f240(x80711),x80712),f81(x80711)))+P107(f328(f328(f240(x80711),f328(f328(f248(x80711),x80712),f328(a116,x80713))),f81(x80711)))+~P107(f328(f328(f240(x80711),f2(x80711)),x80712))
% 28.33/28.22 [8126]~P109(x81261)+~E(x81263,f117(x81261))+~P18(x81261,f328(f170(x81261),x81263))+E(f328(f144(x81261,x81261,f328(f9(x81261,x81261,x81261),f238(x81261)),x81262),f328(f170(x81261),x81263)),x81262)
% 28.33/28.22 [8129]P147(x81291,x81292,x81293)+~P107(f328(x81291,x81292))+P107(f328(f328(f239(a1),f847(x81293,x81292,x81291)),f2(a1)))+P107(f328(f328(f240(a1),f848(x81293,x81292,x81291)),x81293))
% 28.33/28.22 [8139]P148(x81391,x81392,x81393)+~P107(f328(x81391,f2(a1)))+P107(f328(f328(f239(a1),f852(x81393,x81392,x81391)),f2(a1)))+P107(f328(f328(f240(a1),f853(x81393,x81392,x81391)),x81393))
% 28.33/28.22 [8361]P147(x83613,x83612,x83611)+E(x83611,f2(a1))+E(f328(f328(f83(a1),f328(f328(f84(a1),x83611),f851(x83611,x83612,x83613))),f847(x83611,x83612,x83613)),x83612)+P107(f328(f328(f240(a1),f848(x83611,x83612,x83613)),x83611))
% 28.33/28.22 [8362]P148(x83623,x83622,x83621)+E(x83621,f2(a1))+E(f328(f328(f83(a1),f328(f328(f84(a1),x83621),f856(x83621,x83622,x83623))),f852(x83621,x83622,x83623)),x83622)+P107(f328(f328(f240(a1),f853(x83621,x83622,x83623)),x83621))
% 28.33/28.22 [8397]P147(x83973,x83972,x83971)+~P107(f328(x83973,x83972))+E(f328(f328(f83(a1),f328(f328(f84(a1),x83971),f851(x83971,x83972,x83973))),f847(x83971,x83972,x83973)),x83972)+P107(f328(f328(f240(a1),f848(x83971,x83972,x83973)),x83971))
% 28.33/28.22 [8398]~P76(x83981)+~P78(x83981)+~P46(x83983)+E(f328(f328(f11(a911,x83981),f328(f328(f10(a1,x83981,a911),x83982),f104(a1))),f328(f311(a1,a911,a109),x83983)),f328(f328(f11(a1,x83981),x83982),x83983))
% 28.33/28.22 [8399]~P76(x83991)+~P78(x83991)+~P46(x83993)+E(f328(f328(f8(a911,x83991),f328(f328(f10(a1,x83991,a911),x83992),f104(a1))),f328(f311(a1,a911,a109),x83993)),f328(f328(f8(a1,x83991),x83992),x83993))
% 28.33/28.22 [8408]P148(x84083,x84082,x84081)+E(f328(f328(f83(a1),f328(f328(f84(a1),x84081),f856(x84081,x84082,x84083))),f852(x84081,x84082,x84083)),x84082)+~P107(f328(x84083,f2(a1)))+P107(f328(f328(f240(a1),f853(x84081,x84082,x84083)),x84081))
% 28.33/28.22 [8430]~E(x84302,f2(a911))+~E(f328(f255(a911,a911),x84303),f2(a911))+~E(x84301,f328(f328(f83(a911),f328(f328(f84(a911),f328(f255(a911,a911),x84303)),x84302)),f328(f260(a911,a911),x84303)))+P107(f328(f51(x84301,x84302),x84303))
% 28.33/28.22 [8485]P107(f328(x84851,x84852))+~P107(f328(f328(f330(x84853),f795(x84851,x84852,x84853)),f793(x84851,x84852,x84853)))+~P107(f328(f64(x84853),x84852))+~P107(f328(x84851,f190(f918(x84853,a905))))
% 28.33/28.22 [9105]P107(f328(x91051,x91052))+~P107(f328(f64(x91053),x91052))+~P107(f328(x91051,f328(f328(f310(x91053),f795(x91051,x91052,x91053)),f793(x91051,x91052,x91053))))+~P107(f328(x91051,f190(f918(x91053,a905))))
% 28.33/28.22 [9344]P107(f328(f328(f239(a1),x93441),f2(a1)))+~P107(f328(f328(f240(a1),f328(f328(f83(a1),f328(f328(f84(a1),x93442),x93441)),x93443)),f2(a1)))+~P107(f328(f328(f240(a1),f2(a1)),x93442))+~P107(f328(f328(f239(a1),f2(a1)),x93443))
% 28.33/28.22 [5935]~P101(x59352)+E(x59351,f190(f918(x59352,a905)))+~P107(f328(f64(x59352),x59351))+E(f13(x59352,f328(f328(f310(x59352),x59353),x59351)),f328(f328(f106(x59352),x59353),f13(x59352,x59351)))
% 28.33/28.22 [5936]~P101(x59362)+E(x59361,f190(f918(x59362,a905)))+~P107(f328(f64(x59362),x59361))+E(f12(x59362,f328(f328(f310(x59362),x59363),x59361)),f328(f328(f105(x59362),x59363),f12(x59362,x59361)))
% 28.33/28.22 [5937]~P109(x59372)+E(x59371,f190(f918(x59372,a905)))+~P107(f328(f64(x59372),x59371))+E(f16(x59372,f328(f328(f310(x59372),x59373),x59371)),f328(f328(f238(x59372),x59373),f16(x59372,x59371)))
% 28.33/28.22 [5938]~P109(x59382)+E(x59381,f190(f918(x59382,a905)))+~P107(f328(f64(x59382),x59381))+E(f17(x59382,f328(f328(f310(x59382),x59383),x59381)),f328(f328(f243(x59382),x59383),f17(x59382,x59381)))
% 28.33/28.22 [6257]~P127(x62571)+~E(x62573,f2(x62571))+~E(x62572,f2(x62571))+E(f328(f328(f83(x62571),f328(f328(f84(x62571),x62572),x62572)),f328(f328(f84(x62571),x62573),x62573)),f2(x62571))
% 28.33/28.22 [6324]~P97(x63242)+E(x63241,f190(f918(x63242,a905)))+~P107(f328(f64(x63242),x63241))+E(f328(f66(x63242,f84(x63242)),f328(f328(f310(x63242),x63243),x63241)),f328(f328(f84(x63242),x63243),f328(f66(x63242,f84(x63242)),x63241)))
% 28.33/28.22 [6448]~P109(x64482)+E(x64481,f190(f918(x64482,a905)))+~P107(f328(f64(x64482),x64481))+E(f14(x64482,f238(x64482),f328(f328(f310(x64482),x64483),x64481)),f328(f328(f238(x64482),x64483),f14(x64482,f238(x64482),x64481)))
% 28.33/28.22 [6449]~P109(x64492)+E(x64491,f190(f918(x64492,a905)))+~P107(f328(f64(x64492),x64491))+E(f15(x64492,f243(x64492),f328(f328(f310(x64492),x64493),x64491)),f328(f328(f243(x64492),x64493),f15(x64492,f243(x64492),x64491)))
% 28.33/28.22 [6843]~P101(x68431)+~P107(f328(f64(x68431),x68433))+E(f328(f328(f67(x68431,x68431,f106(x68431)),x68432),x68433),f13(x68431,f328(f328(f310(x68431),x68432),x68433)))+P107(f328(f328(f330(x68431),x68432),x68433))
% 28.33/28.22 [6844]~P101(x68441)+~P107(f328(f64(x68441),x68443))+E(f328(f328(f67(x68441,x68441,f105(x68441)),x68442),x68443),f12(x68441,f328(f328(f310(x68441),x68442),x68443)))+P107(f328(f328(f330(x68441),x68442),x68443))
% 28.33/28.22 [6845]~P109(x68451)+~P107(f328(f64(x68451),x68453))+E(f328(f328(f67(x68451,x68451,f238(x68451)),x68452),x68453),f16(x68451,f328(f328(f310(x68451),x68452),x68453)))+P107(f328(f328(f330(x68451),x68452),x68453))
% 28.33/28.22 [6846]~P109(x68461)+~P107(f328(f64(x68461),x68463))+E(f328(f328(f67(x68461,x68461,f243(x68461)),x68462),x68463),f17(x68461,f328(f328(f310(x68461),x68462),x68463)))+P107(f328(f328(f330(x68461),x68462),x68463))
% 28.33/28.22 [6953]~P73(x69531)+~P107(f328(f64(x69531),x69533))+E(f328(f66(x69531,f84(x69531)),f328(f328(f310(x69531),x69532),x69533)),f328(f328(f67(x69531,x69531,f84(x69531)),x69532),x69533))+P107(f328(f328(f330(x69531),x69532),x69533))
% 28.33/28.22 [6968]~P109(x69681)+~P107(f328(f64(x69681),x69683))+E(f14(x69681,f238(x69681),f328(f328(f310(x69681),x69682),x69683)),f328(f328(f67(x69681,x69681,f238(x69681)),x69682),x69683))+P107(f328(f328(f330(x69681),x69682),x69683))
% 28.33/28.22 [6969]~P109(x69691)+~P107(f328(f64(x69691),x69693))+E(f15(x69691,f243(x69691),f328(f328(f310(x69691),x69692),x69693)),f328(f328(f67(x69691,x69691,f243(x69691)),x69692),x69693))+P107(f328(f328(f330(x69691),x69692),x69693))
% 28.33/28.22 [7031]~E(f328(f328(f83(a1),x70312),f328(f328(f84(a1),x70313),x70311)),x70313)+~P107(f328(f328(f240(a1),f2(a1)),x70313))+P107(f328(f328(f239(a1),f81(a1)),x70311))+~P107(f328(f328(f240(a1),x70312),x70313))
% 28.33/28.22 [7061]~E(f328(f328(f83(a1),x70612),f328(f328(f84(a1),x70613),x70611)),x70613)+P107(f328(f328(f239(a1),x70611),f81(a1)))+~P107(f328(f328(f240(a1),f2(a1)),x70613))+~P107(f328(f328(f239(a1),f2(a1)),x70612))
% 28.33/28.22 [7076]E(x70761,f2(a911))+~P107(f328(f51(x70763,x70761),x70762))+~P107(f328(f328(f240(a911),f2(a911)),x70761))+P107(f328(f328(f240(a911),f328(f260(a911,a911),x70762)),x70761))
% 28.33/28.22 [7107]~P139(x71071)+~P107(f328(f328(f239(x71071),x71072),f2(x71071)))+~P107(f328(f328(f239(x71071),x71073),f2(x71071)))+E(f328(f328(f84(x71071),f328(f79(x71071),x71072)),f328(f79(x71071),x71073)),f328(f79(x71071),f328(f328(f84(x71071),x71072),x71073)))
% 28.33/28.22 [7152]~P139(x71521)+~P107(f328(f328(f239(x71521),x71522),f2(x71521)))+E(f328(f328(f84(x71521),f328(f79(x71521),x71522)),f328(f79(x71521),x71523)),f328(f79(x71521),f328(f328(f84(x71521),x71522),x71523)))+~P107(f328(f328(f239(x71521),f2(x71521)),x71523))
% 28.33/28.22 [7153]~P139(x71531)+~P107(f328(f328(f239(x71531),x71533),f2(x71531)))+E(f328(f328(f84(x71531),f328(f79(x71531),x71532)),f328(f79(x71531),x71533)),f328(f79(x71531),f328(f328(f84(x71531),x71532),x71533)))+~P107(f328(f328(f239(x71531),f2(x71531)),x71532))
% 28.33/28.22 [7209]~P139(x72091)+E(f328(f328(f84(x72091),f328(f79(x72091),x72092)),f328(f79(x72091),x72093)),f328(f79(x72091),f328(f328(f84(x72091),x72092),x72093)))+~P107(f328(f328(f239(x72091),f2(x72091)),x72092))+~P107(f328(f328(f239(x72091),f2(x72091)),x72093))
% 28.33/28.22 [7225]~P127(x72251)+~P107(f328(f328(f240(x72251),x72253),f2(x72251)))+~P107(f328(f328(f240(x72251),x72252),f2(x72251)))+P107(f328(f328(f240(x72251),f2(x72251)),f328(f328(f84(x72251),x72252),x72253)))
% 28.33/28.22 [7226]~P71(x72261)+~P107(f328(f328(f240(x72261),x72263),f2(x72261)))+~P107(f328(f328(f240(x72261),x72262),f2(x72261)))+P107(f328(f328(f240(x72261),f2(x72261)),f328(f328(f291(x72261),x72262),x72263)))
% 28.33/28.22 [7227]~P72(x72271)+~P107(f328(f328(f240(x72271),x72273),f2(x72271)))+~P107(f328(f328(f240(x72271),x72272),f2(x72271)))+P107(f328(f328(f240(x72271),f2(x72271)),f328(f328(f291(x72271),x72272),x72273)))
% 28.33/28.22 [7228]~P127(x72281)+~P107(f328(f328(f239(x72281),x72283),f2(x72281)))+~P107(f328(f328(f239(x72281),x72282),f2(x72281)))+P107(f328(f328(f239(x72281),f2(x72281)),f328(f328(f84(x72281),x72282),x72283)))
% 28.33/28.22 [7229]~P136(x72291)+~P107(f328(f328(f239(x72291),x72293),f2(x72291)))+~P107(f328(f328(f239(x72291),x72292),f2(x72291)))+P107(f328(f328(f239(x72291),f2(x72291)),f328(f328(f84(x72291),x72292),x72293)))
% 28.33/28.22 [7230]~P136(x72301)+~P107(f328(f328(f239(x72301),x72303),f2(x72301)))+~P107(f328(f328(f239(x72301),x72302),f2(x72301)))+P107(f328(f328(f239(x72301),f2(x72301)),f328(f328(f84(x72301),x72302),x72303)))
% 28.33/28.22 [7231]~P71(x72311)+~P107(f328(f328(f239(x72311),x72313),f2(x72311)))+~P107(f328(f328(f239(x72311),x72312),f2(x72311)))+P107(f328(f328(f239(x72311),f2(x72311)),f328(f328(f291(x72311),x72312),x72313)))
% 28.33/28.22 [7232]~P72(x72321)+~P107(f328(f328(f240(x72321),x72323),f2(x72321)))+~P107(f328(f328(f239(x72321),x72322),f2(x72321)))+P107(f328(f328(f239(x72321),f2(x72321)),f328(f328(f291(x72321),x72322),x72323)))
% 28.33/28.22 [7233]~P125(x72331)+~P107(f328(f328(f240(a911),f2(a911)),x72333))+~P107(f328(f328(f240(x72331),f81(x72331)),x72332))+P107(f328(f328(f240(x72331),f81(x72331)),f328(f328(f248(x72331),x72332),x72333)))
% 28.33/28.22 [7329]~P88(x73291)+~P107(f328(f328(f240(x73291),f2(x73291)),x73293))+~P107(f328(f328(f240(x73291),f2(x73291)),x73292))+P107(f328(f328(f240(x73291),f2(x73291)),f328(f328(f83(x73291),x73292),x73293)))
% 28.33/28.22 [7330]~P88(x73301)+~P107(f328(f328(f239(x73301),f2(x73301)),x73302))+~P107(f328(f328(f240(x73301),f2(x73301)),x73303))+P107(f328(f328(f240(x73301),f2(x73301)),f328(f328(f83(x73301),x73302),x73303)))
% 28.33/28.22 [7331]~P88(x73311)+~P107(f328(f328(f239(x73311),f2(x73311)),x73313))+~P107(f328(f328(f240(x73311),f2(x73311)),x73312))+P107(f328(f328(f240(x73311),f2(x73311)),f328(f328(f83(x73311),x73312),x73313)))
% 28.33/28.22 [7332]~P130(x73321)+~P107(f328(f328(f240(x73321),f2(x73321)),x73323))+~P107(f328(f328(f240(x73321),f2(x73321)),x73322))+P107(f328(f328(f240(x73321),f2(x73321)),f328(f328(f84(x73321),x73322),x73323)))
% 28.33/28.22 [7333]~P71(x73331)+~P107(f328(f328(f240(x73331),f2(x73331)),x73333))+~P107(f328(f328(f240(x73331),f2(x73331)),x73332))+P107(f328(f328(f240(x73331),f2(x73331)),f328(f328(f291(x73331),x73332),x73333)))
% 28.33/28.22 [7334]~P72(x73341)+~P107(f328(f328(f240(x73341),f2(x73341)),x73343))+~P107(f328(f328(f240(x73341),f2(x73341)),x73342))+P107(f328(f328(f240(x73341),f2(x73341)),f328(f328(f291(x73341),x73342),x73343)))
% 28.33/28.22 [7335]~P125(x73351)+~P107(f328(f328(f240(x73351),f81(x73351)),x73353))+~P107(f328(f328(f240(x73351),f81(x73351)),x73352))+P107(f328(f328(f240(x73351),f81(x73351)),f328(f328(f84(x73351),x73352),x73353)))
% 28.33/28.22 [7336]~P88(x73361)+~P107(f328(f328(f239(x73361),f2(x73361)),x73363))+~P107(f328(f328(f239(x73361),f2(x73361)),x73362))+P107(f328(f328(f239(x73361),f2(x73361)),f328(f328(f83(x73361),x73362),x73363)))
% 28.33/28.22 [7337]~P127(x73371)+~P107(f328(f328(f239(x73371),f2(x73371)),x73373))+~P107(f328(f328(f239(x73371),f2(x73371)),x73372))+P107(f328(f328(f239(x73371),f2(x73371)),f328(f328(f84(x73371),x73372),x73373)))
% 28.33/28.22 [7338]~P135(x73381)+~P107(f328(f328(f239(x73381),f2(x73381)),x73383))+~P107(f328(f328(f239(x73381),f2(x73381)),x73382))+P107(f328(f328(f239(x73381),f2(x73381)),f328(f328(f84(x73381),x73382),x73383)))
% 28.33/28.22 [7339]~P136(x73391)+~P107(f328(f328(f239(x73391),f2(x73391)),x73393))+~P107(f328(f328(f239(x73391),f2(x73391)),x73392))+P107(f328(f328(f239(x73391),f2(x73391)),f328(f328(f84(x73391),x73392),x73393)))
% 28.33/28.22 [7340]~P71(x73401)+~P107(f328(f328(f239(x73401),f2(x73401)),x73403))+~P107(f328(f328(f239(x73401),f2(x73401)),x73402))+P107(f328(f328(f239(x73401),f2(x73401)),f328(f328(f291(x73401),x73402),x73403)))
% 28.33/28.22 [7341]~P72(x73411)+~P107(f328(f328(f240(x73411),f2(x73411)),x73413))+~P107(f328(f328(f239(x73411),f2(x73411)),x73412))+P107(f328(f328(f239(x73411),f2(x73411)),f328(f328(f291(x73411),x73412),x73413)))
% 28.33/28.22 [7422]~P101(x74221)+~P107(f328(f64(x74221),x74223))+E(f13(x74221,f328(f328(f310(x74221),x74222),x74223)),x74222)+~E(f328(f328(f3(f918(x74221,a905)),x74223),f328(f328(f310(x74221),x74222),f190(f918(x74221,a905)))),f190(f918(x74221,a905)))
% 28.33/28.22 [7423]~P101(x74231)+~P107(f328(f64(x74231),x74233))+E(f12(x74231,f328(f328(f310(x74231),x74232),x74233)),x74232)+~E(f328(f328(f3(f918(x74231,a905)),x74233),f328(f328(f310(x74231),x74232),f190(f918(x74231,a905)))),f190(f918(x74231,a905)))
% 28.33/28.22 [7424]~P109(x74241)+~P107(f328(f64(x74241),x74243))+E(f16(x74241,f328(f328(f310(x74241),x74242),x74243)),x74242)+~E(f328(f328(f3(f918(x74241,a905)),x74243),f328(f328(f310(x74241),x74242),f190(f918(x74241,a905)))),f190(f918(x74241,a905)))
% 28.33/28.22 [7425]~P109(x74251)+~P107(f328(f64(x74251),x74253))+E(f17(x74251,f328(f328(f310(x74251),x74252),x74253)),x74252)+~E(f328(f328(f3(f918(x74251,a905)),x74253),f328(f328(f310(x74251),x74252),f190(f918(x74251,a905)))),f190(f918(x74251,a905)))
% 28.33/28.22 [7427]~P71(x74271)+P107(f328(f328(f240(x74271),x74272),f2(x74271)))+P107(f328(f328(f240(x74271),f2(x74271)),x74273))+~P107(f328(f328(f240(x74271),f2(x74271)),f328(f328(f291(x74271),x74273),x74272)))
% 28.33/28.22 [7428]~P71(x74281)+P107(f328(f328(f240(x74281),x74282),f2(x74281)))+P107(f328(f328(f240(x74281),f2(x74281)),x74283))+~P107(f328(f328(f240(x74281),f2(x74281)),f328(f328(f291(x74281),x74282),x74283)))
% 28.33/28.22 [7429]~P71(x74291)+P107(f328(f328(f240(x74291),x74292),f2(x74291)))+P107(f328(f328(f240(x74291),f2(x74291)),x74292))+~P107(f328(f328(f240(x74291),f2(x74291)),f328(f328(f291(x74291),x74293),x74292)))
% 28.33/28.22 [7430]~P71(x74301)+P107(f328(f328(f240(x74301),x74302),f2(x74301)))+P107(f328(f328(f240(x74301),f2(x74301)),x74302))+~P107(f328(f328(f240(x74301),f2(x74301)),f328(f328(f291(x74301),x74302),x74303)))
% 28.33/28.22 [7431]~P127(x74311)+P107(f328(f328(f239(x74311),x74312),f2(x74311)))+P107(f328(f328(f239(x74311),f2(x74311)),x74313))+~P107(f328(f328(f239(x74311),f2(x74311)),f328(f328(f84(x74311),x74313),x74312)))
% 28.33/28.22 [7432]~P127(x74321)+P107(f328(f328(f239(x74321),x74322),f2(x74321)))+P107(f328(f328(f239(x74321),f2(x74321)),x74323))+~P107(f328(f328(f239(x74321),f2(x74321)),f328(f328(f84(x74321),x74322),x74323)))
% 28.33/28.22 [7433]~P71(x74331)+P107(f328(f328(f239(x74331),x74332),f2(x74331)))+P107(f328(f328(f239(x74331),f2(x74331)),x74333))+~P107(f328(f328(f239(x74331),f2(x74331)),f328(f328(f291(x74331),x74333),x74332)))
% 28.33/28.22 [7434]~P71(x74341)+P107(f328(f328(f239(x74341),x74342),f2(x74341)))+P107(f328(f328(f239(x74341),f2(x74341)),x74343))+~P107(f328(f328(f239(x74341),f2(x74341)),f328(f328(f291(x74341),x74342),x74343)))
% 28.33/28.22 [7435]~P127(x74351)+P107(f328(f328(f239(x74351),x74352),f2(x74351)))+P107(f328(f328(f239(x74351),f2(x74351)),x74352))+~P107(f328(f328(f239(x74351),f2(x74351)),f328(f328(f84(x74351),x74353),x74352)))
% 28.33/28.22 [7436]~P127(x74361)+P107(f328(f328(f239(x74361),x74362),f2(x74361)))+P107(f328(f328(f239(x74361),f2(x74361)),x74362))+~P107(f328(f328(f239(x74361),f2(x74361)),f328(f328(f84(x74361),x74362),x74363)))
% 28.33/28.22 [7437]~P71(x74371)+P107(f328(f328(f239(x74371),x74372),f2(x74371)))+P107(f328(f328(f239(x74371),f2(x74371)),x74372))+~P107(f328(f328(f239(x74371),f2(x74371)),f328(f328(f291(x74371),x74373),x74372)))
% 28.33/28.22 [7438]~P71(x74381)+P107(f328(f328(f239(x74381),x74382),f2(x74381)))+P107(f328(f328(f239(x74381),f2(x74381)),x74382))+~P107(f328(f328(f239(x74381),f2(x74381)),f328(f328(f291(x74381),x74382),x74383)))
% 28.33/28.22 [7528]~E(f328(f328(f106(f918(x75281,a905)),f328(f174(x75281),x75282)),f328(f174(x75281),x75283)),f190(f918(x75281,a905)))+~P107(f328(f139(x75281),x75283))+~P107(f328(f139(x75281),x75282))+P107(f328(f139(x75281),f328(f328(f136(x75281),x75282),x75283)))
% 28.33/28.22 [7529]~P109(x75291)+~P107(f328(f64(x75291),x75293))+E(f14(x75291,f238(x75291),f328(f328(f310(x75291),x75292),x75293)),x75292)+~E(f328(f328(f3(f918(x75291,a905)),x75293),f328(f328(f310(x75291),x75292),f190(f918(x75291,a905)))),f190(f918(x75291,a905)))
% 28.33/28.22 [7530]~P109(x75301)+~P107(f328(f64(x75301),x75303))+E(f15(x75301,f243(x75301),f328(f328(f310(x75301),x75302),x75303)),x75302)+~E(f328(f328(f3(f918(x75301,a905)),x75303),f328(f328(f310(x75301),x75302),f190(f918(x75301,a905)))),f190(f918(x75301,a905)))
% 28.33/28.22 [7546]~P113(x75461)+~P107(f328(f328(f240(x75461),x75462),x75463))+~P107(f328(f328(f240(x75461),f328(f82(x75461),x75462)),x75463))+P107(f328(f328(f240(x75461),f328(f79(x75461),x75462)),x75463))
% 28.33/28.22 [7547]~P86(x75471)+~P107(f328(f328(f239(x75471),x75472),x75473))+~P107(f328(f328(f239(x75471),f328(f82(x75471),x75472)),x75473))+P107(f328(f328(f239(x75471),f328(f79(x75471),x75472)),x75473))
% 28.33/28.22 [7548]~P86(x75481)+~P107(f328(f328(f239(x75481),x75482),x75483))+~P107(f328(f328(f239(x75481),f328(f82(x75481),x75482)),x75483))+P107(f328(f328(f239(x75481),f328(f79(x75481),x75482)),x75483))
% 28.33/28.22 [7619]~P130(x76191)+P107(f328(f328(f240(x76191),f2(x76191)),x76192))+~P107(f328(f328(f240(x76191),f2(x76191)),x76193))+~P107(f328(f328(f240(x76191),f2(x76191)),f328(f328(f84(x76191),x76193),x76192)))
% 28.33/28.22 [7620]~P130(x76201)+P107(f328(f328(f240(x76201),f2(x76201)),x76202))+~P107(f328(f328(f240(x76201),f2(x76201)),x76203))+~P107(f328(f328(f240(x76201),f2(x76201)),f328(f328(f84(x76201),x76202),x76203)))
% 28.33/28.22 [7919]E(x79191,x79192)+~P107(f328(f64(x79193),x79191))+~P107(f328(f328(f239(a911),f328(f38(x79193),x79191)),f328(f38(x79193),x79192)))+~P107(f328(f328(f239(f918(x79193,a905)),x79192),x79191))
% 28.33/28.22 [7990]~P107(f328(f328(f239(a911),x79902),x79901))+~P107(f328(f328(f240(a911),x79901),x79903))+~P107(f328(f328(f239(a911),x79902),x79903))+P107(f328(f328(f240(a911),f328(f328(f3(a911),x79901),x79902)),f328(f328(f3(a911),x79903),x79902)))
% 28.33/28.22 [7991]~P107(f328(f328(f239(a911),x79912),x79911))+~P107(f328(f328(f239(a911),x79912),x79913))+~P107(f328(f328(f239(a911),x79911),x79913))+P107(f328(f328(f239(a911),f328(f328(f3(a911),x79911),x79912)),f328(f328(f3(a911),x79913),x79912)))
% 28.33/28.22 [8068]~P107(f328(f328(f240(a1),x80681),f2(a1)))+~P107(f328(f328(f240(a1),f2(a1)),x80682))+~P107(f328(f328(f239(a1),x80682),x80683))+P107(f328(f328(f239(a1),f328(f328(f39(a1),x80681),x80682)),f328(f328(f39(a1),x80681),x80683)))
% 28.33/28.22 [8078]~P107(f328(f328(f240(a1),f2(a1)),x80783))+~P107(f328(f328(f239(a1),f2(a1)),x80781))+~P107(f328(f328(f239(a1),x80783),x80782))+P107(f328(f328(f239(a1),f328(f328(f39(a1),x80781),x80782)),f328(f328(f39(a1),x80781),x80783)))
% 28.33/28.22 [8223]E(f328(x82231,f871(x82232,x82231,x82233)),x82232)+~P107(f328(f328(f239(a1),x82232),f328(x82231,x82233)))+P107(f328(f328(f240(a911),f872(x82232,x82231,x82233)),x82233))+~P107(f328(f328(f239(a1),f328(x82231,f2(a911))),x82232))
% 28.33/28.22 [8224]E(f328(x82241,f874(x82242,x82241,x82243)),x82242)+~P107(f328(f328(f239(a1),x82242),f328(x82241,x82243)))+P107(f328(f328(f240(a911),f875(x82242,x82241,x82243)),x82243))+~P107(f328(f328(f239(a1),f328(x82241,f2(a911))),x82242))
% 28.33/28.22 [8323]~P107(f328(f64(x83231),x83233))+~P107(f328(f328(f240(a911),f328(f38(x83231),x83232)),f328(f38(x83231),x83233)))+~P107(f328(f328(f239(f918(x83231,a905)),x83232),x83233))+P107(f328(f328(f240(f918(x83231,a905)),x83232),x83233))
% 28.33/28.22 [8350]E(f328(f328(f3(a1),f446(x83503,x83501,x83502)),f447(x83503,x83501,x83502)),x83501)+E(f328(f328(f83(a1),x83501),x83502),x83501)+~P107(f328(f328(f240(a1),f2(a1)),x83502))+~P107(f328(f328(f330(a1),f328(f328(f83(a1),x83501),f81(a1))),x83503))
% 28.33/28.22 [8351]E(f328(f328(f83(a1),f436(x83513,x83511,x83512)),f437(x83513,x83511,x83512)),x83511)+E(f328(f328(f3(a1),x83511),x83512),x83511)+~P107(f328(f328(f240(a1),f2(a1)),x83512))+~P107(f328(f328(f330(a1),f328(f328(f3(a1),x83511),f81(a1))),x83513))
% 28.33/28.22 [8403]~P107(f328(f328(f239(a911),x84033),x84031))+P107(f328(f328(f240(a911),x84031),x84032))+~P107(f328(f328(f239(a911),x84033),x84032))+~P107(f328(f328(f240(a911),f328(f328(f3(a911),x84031),x84033)),f328(f328(f3(a911),x84032),x84033)))
% 28.33/28.22 [8404]~P107(f328(f328(f239(a911),x84043),x84041))+P107(f328(f328(f239(a911),x84041),x84042))+~P107(f328(f328(f239(a911),x84043),x84042))+~P107(f328(f328(f239(a911),f328(f328(f3(a911),x84041),x84043)),f328(f328(f3(a911),x84042),x84043)))
% 28.33/28.22 [8423]~P109(x84232)+E(x84231,f117(x84232))+~P18(x84232,f328(f170(x84232),x84231))+E(f328(f144(x84232,x84232,f328(f9(x84232,x84232,x84232),f238(x84232)),x84233),f328(f170(x84232),x84231)),f328(f328(f238(x84232),f328(f328(f166(x84232),x84231),f2(a911))),x84233))
% 28.33/28.22 [8490]E(f328(f328(f83(a1),x84901),x84902),x84901)+~P107(f328(f328(f240(a1),f2(a1)),x84902))+P107(f328(f328(f330(a1),f446(x84903,x84901,x84902)),x84903))+~P107(f328(f328(f330(a1),f328(f328(f83(a1),x84901),f81(a1))),x84903))
% 28.33/28.22 [8491]E(f328(f328(f3(a1),x84911),x84912),x84911)+~P107(f328(f328(f240(a1),f2(a1)),x84912))+P107(f328(f328(f330(a1),f436(x84913,x84911,x84912)),x84913))+~P107(f328(f328(f330(a1),f328(f328(f3(a1),x84911),f81(a1))),x84913))
% 28.33/28.22 [8565]~P107(f328(f328(f239(a1),x85651),f328(x85652,x85653)))+P107(f328(f328(f239(a911),f871(x85651,x85652,x85653)),x85653))+P107(f328(f328(f240(a911),f872(x85651,x85652,x85653)),x85653))+~P107(f328(f328(f239(a1),f328(x85652,f2(a911))),x85651))
% 28.33/28.22 [8566]~P107(f328(f328(f239(a1),x85661),f328(x85662,x85663)))+P107(f328(f328(f239(a911),f874(x85661,x85662,x85663)),x85663))+P107(f328(f328(f240(a911),f875(x85661,x85662,x85663)),x85663))+~P107(f328(f328(f239(a1),f328(x85662,f2(a911))),x85661))
% 28.33/28.22 [8645]E(f328(f328(f83(a1),x86451),x86452),x86451)+~P107(f328(f328(f240(a1),f2(a1)),x86452))+P107(f328(f328(f330(a1),f447(x86453,x86451,x86452)),f304(a1,f81(a1),x86452)))+~P107(f328(f328(f330(a1),f328(f328(f83(a1),x86451),f81(a1))),x86453))
% 28.33/28.22 [8646]E(f328(f328(f3(a1),x86461),x86462),x86461)+~P107(f328(f328(f240(a1),f2(a1)),x86462))+P107(f328(f328(f330(a1),f437(x86463,x86461,x86462)),f304(a1,f81(a1),x86462)))+~P107(f328(f328(f330(a1),f328(f328(f3(a1),x86461),f81(a1))),x86463))
% 28.33/28.22 [8778]~P125(x87781)+~P107(f328(f328(f240(x87781),x87782),f81(x87781)))+~P107(f328(f328(f240(x87781),f2(x87781)),x87782))+P107(f328(f328(f240(x87781),f328(f328(f84(x87781),x87782),f328(f328(f248(x87781),x87782),x87783))),f328(f328(f248(x87781),x87782),x87783)))
% 28.33/28.22 [8865]~P107(f328(x88651,x88652))+P107(f328(x88651,f2(a911)))+~P107(f328(f328(f240(a911),x88652),x88653))+~P107(f328(x88651,f48(a911,f328(a116,f868(x88652,x88651,x88653)),x88653)))
% 28.33/28.22 [9011]E(f896(x90111,x90112,x90113),f2(a911))+P107(f328(f328(x90111,x90113),x90112))+P107(f328(f328(x90111,f896(x90111,x90112,x90113)),f48(a911,f895(x90111,x90112,x90113),f896(x90111,x90112,x90113))))+~P107(f328(f316(f917(a911,a911),a223),f328(f328(f256(a911,a911),x90113),x90112)))
% 28.33/28.22 [9048]~P30(x90481,x90481,x90482,x90483)+E(f328(f311(x90481,x90481,x90482),x90483),x90483)+~P107(f328(f64(x90481),x90483))+~P107(f328(f328(f239(f918(x90481,a905)),f328(f311(x90481,x90481,x90482),x90483)),x90483))
% 28.33/28.22 [9269]P107(f328(f328(x92691,x92692),x92693))+P107(f328(f328(f240(a1),f800(x92691,x92693,x92692)),f801(x92691,x92693,x92692)))+P107(f328(f328(x92691,f800(x92691,x92693,x92692)),f328(f328(f83(a1),f801(x92691,x92693,x92692)),f81(a1))))+~P107(f328(f316(f917(a1,a1),a135),f328(f328(f256(a1,a1),x92692),x92693)))
% 28.33/28.22 [9288]P107(f328(f328(x92881,x92882),x92883))+~P107(f328(f328(f240(a1),f894(x92881,x92883,x92882)),f2(a1)))+P107(f328(f328(x92881,f328(f82(a1),f893(x92881,x92883,x92882))),f328(f82(a1),f894(x92881,x92883,x92882))))+~P107(f328(f316(f917(a1,a1),a225),f328(f328(f256(a1,a1),x92882),x92883)))
% 28.33/28.22 [9466]P107(f328(f328(x94661,x94662),x94663))+P107(f328(f328(x94661,f328(f328(f83(a1),f602(x94661,x94663,x94662)),f81(a1))),f603(x94661,x94663,x94662)))+~P107(f328(f328(f239(a1),f602(x94661,x94663,x94662)),f603(x94661,x94663,x94662)))+~P107(f328(f316(f917(a1,a1),a184),f328(f328(f256(a1,a1),x94662),x94663)))
% 28.33/28.22 [9890]~P68(x98902)+~P68(x98901)+~P107(f328(f59(f917(x98901,x98902)),x98903))+P107(f328(f59(x98901),f328(f328(f10(f918(x98902,a905),a905,x98901),f59(x98902)),f328(f328(f10(f918(x98902,f917(x98901,x98902)),f918(x98902,a905),x98901),f328(f10(f917(x98901,x98902),a905,x98902),x98903)),f256(x98901,x98902)))))
% 28.33/28.22 [9891]~P68(x98912)+~P68(x98911)+~P107(f328(f60(f917(x98911,x98912)),x98913))+P107(f328(f60(x98911),f328(f328(f10(f918(x98912,a905),a905,x98911),f60(x98912)),f328(f328(f10(f918(x98912,f917(x98911,x98912)),f918(x98912,a905),x98911),f328(f10(f917(x98911,x98912),a905,x98912),x98913)),f256(x98911,x98912)))))
% 28.33/28.22 [9984]~P68(x99842)+~P68(x99841)+P107(f328(f59(f917(x99841,x99842)),x99843))+~P107(f328(f59(x99841),f328(f328(f10(f918(x99842,a905),a905,x99841),f59(x99842)),f328(f328(f10(f918(x99842,f917(x99841,x99842)),f918(x99842,a905),x99841),f328(f10(f917(x99841,x99842),a905,x99842),x99843)),f256(x99841,x99842)))))
% 28.33/28.22 [9985]~P68(x99852)+~P68(x99851)+P107(f328(f60(f917(x99851,x99852)),x99853))+~P107(f328(f60(x99851),f328(f328(f10(f918(x99852,a905),a905,x99851),f60(x99852)),f328(f328(f10(f918(x99852,f917(x99851,x99852)),f918(x99852,a905),x99851),f328(f10(f917(x99851,x99852),a905,x99852),x99853)),f256(x99851,x99852)))))
% 28.33/28.22 [10142]E(f328(x101421,f871(x101422,x101421,x101423)),x101422)+~P107(f328(f328(f239(a1),x101422),f328(x101421,x101423)))+~P107(f328(f328(f239(a1),f328(f79(a1),f328(f328(f3(a1),f328(x101421,f328(f328(f83(a911),f872(x101422,x101421,x101423)),f81(a911)))),f328(x101421,f872(x101422,x101421,x101423))))),f81(a1)))+~P107(f328(f328(f239(a1),f328(x101421,f2(a911))),x101422))
% 28.33/28.22 [10143]E(f328(x101431,f874(x101432,x101431,x101433)),x101432)+~P107(f328(f328(f239(a1),x101432),f328(x101431,x101433)))+~P107(f328(f328(f239(a1),f328(f79(a1),f328(f328(f3(a1),f328(x101431,f328(f328(f83(a911),f875(x101432,x101431,x101433)),f81(a911)))),f328(x101431,f875(x101432,x101431,x101433))))),f81(a1)))+~P107(f328(f328(f239(a1),f328(x101431,f2(a911))),x101432))
% 28.33/28.22 [10146]~P107(f328(f328(f239(a1),x101461),f328(x101462,x101463)))+~P107(f328(f328(f239(a1),f328(f79(a1),f328(f328(f3(a1),f328(x101462,f328(f328(f83(a911),f872(x101461,x101462,x101463)),f81(a911)))),f328(x101462,f872(x101461,x101462,x101463))))),f81(a1)))+P107(f328(f328(f239(a911),f871(x101461,x101462,x101463)),x101463))+~P107(f328(f328(f239(a1),f328(x101462,f2(a911))),x101461))
% 28.33/28.22 [10147]~P107(f328(f328(f239(a1),x101471),f328(x101472,x101473)))+~P107(f328(f328(f239(a1),f328(f79(a1),f328(f328(f3(a1),f328(x101472,f328(f328(f83(a911),f875(x101471,x101472,x101473)),f81(a911)))),f328(x101472,f875(x101471,x101472,x101473))))),f81(a1)))+P107(f328(f328(f239(a911),f874(x101471,x101472,x101473)),x101473))+~P107(f328(f328(f239(a1),f328(x101472,f2(a911))),x101471))
% 28.33/28.22 [10206]E(x102061,x102062)+~E(f328(f144(f912(x102063),f912(x102063),f136(x102063),f117(x102063)),x102061),f328(f144(f912(x102063),f912(x102063),f136(x102063),f117(x102063)),x102062))+~E(f328(f191(f912(f912(x102063))),x102061),f328(f191(f912(f912(x102063))),x102062))+~P107(f328(f328(f261(f912(x102063),f912(x102063),a905),f328(f328(f9(f912(x102063),f918(f912(x102063),a911),f918(f912(x102063),a905)),f328(f328(f10(f918(a911,a905),f918(f918(f912(x102063),a911),f918(f912(x102063),a905)),f912(x102063)),f10(a911,a905,f912(x102063))),f328(f328(f10(a911,f918(a911,a905),f912(x102063)),a325),f191(f912(x102063))))),f191(f912(x102063)))),f650(x102062,x102061,x102063)))
% 28.33/28.22 [10207]E(x102071,x102072)+~E(f328(f144(f912(x102073),f912(x102073),f136(x102073),f117(x102073)),x102071),f328(f144(f912(x102073),f912(x102073),f136(x102073),f117(x102073)),x102072))+~E(f328(f191(f912(f912(x102073))),x102071),f328(f191(f912(f912(x102073))),x102072))+~P107(f328(f328(f261(f912(x102073),f912(x102073),a905),f328(f328(f9(f912(x102073),f918(f912(x102073),a911),f918(f912(x102073),a905)),f328(f328(f10(f918(a911,a905),f918(f918(f912(x102073),a911),f918(f912(x102073),a905)),f912(x102073)),f10(a911,a905,f912(x102073))),f328(f328(f10(a911,f918(a911,a905),f912(x102073)),a325),f191(f912(x102073))))),f191(f912(x102073)))),f651(x102071,x102072,x102073)))
% 28.33/28.22 [6941]~E(f81(a911),f2(a911))+~P107(f328(f64(x69411),x69413))+~P107(f328(f64(x69411),x69412))+E(f328(f328(f83(a911),f328(f38(x69411),x69412)),f328(f38(x69411),x69413)),f328(f38(x69411),f328(f328(f105(f918(x69411,a905)),x69412),x69413)))
% 28.33/28.22 [7348]~P109(x73481)+~P107(f328(f64(x73481),x73482))+~P107(f328(f328(f330(x73481),x73483),x73482))+P107(f328(f328(f239(x73481),f328(f66(x73481,f243(x73481)),x73482)),x73483))
% 28.33/28.22 [7349]~P104(x73491)+~P107(f328(f64(x73491),x73492))+~P107(f328(f328(f330(x73491),x73493),x73492))+P107(f328(f328(f239(x73491),f328(f66(x73491,f106(x73491)),x73492)),x73493))
% 28.33/28.22 [7613]~P107(f328(f64(x76131),x76133))+~P107(f328(f64(x76131),x76132))+~E(f328(f328(f106(f918(x76131,a905)),x76132),x76133),f190(f918(x76131,a905)))+E(f328(f328(f83(a911),f328(f38(x76131),x76132)),f328(f38(x76131),x76133)),f328(f38(x76131),f328(f328(f105(f918(x76131,a905)),x76132),x76133)))
% 28.33/28.22 [8409]~P43(x84091,x84093)+~P43(x84091,x84092)+~E(f328(f328(f106(f918(x84091,a905)),f328(f268(x84091,x84091),x84092)),f328(f286(x84091,x84091),x84093)),f190(f918(x84091,a905)))+P43(x84091,f328(f328(f105(f918(f917(x84091,x84091),a905)),x84092),x84093))
% 28.33/28.22 [8502]E(x85021,f328(f328(f39(a911),x85022),x85023))+~P107(f328(f328(f240(a911),f2(a911)),x85023))+~P107(f328(f328(f240(a911),x85022),f328(f328(f84(a911),x85023),f328(a116,x85021))))+~P107(f328(f328(f239(a911),f328(f328(f84(a911),x85023),x85021)),x85022))
% 28.33/28.22 [8643]~P107(f328(f64(x86431),x86432))+~P107(f328(f64(x86431),x86433))+E(f328(f328(f83(a911),f328(f38(x86431),x86432)),f328(f38(x86431),x86433)),f328(f38(x86431),f328(f328(f105(f918(x86431,a905)),x86432),x86433)))+P107(f328(f328(f330(x86431),f361(x86433,x86432,x86431)),f328(f328(f106(f918(x86431,a905)),x86432),x86433)))
% 28.33/28.22 [9023]~P127(x90232)+~E(x90231,f2(x90232))+~E(x90233,f2(x90232))+~P107(f328(f328(f240(x90232),f2(x90232)),f328(f328(f83(x90232),f328(f328(f84(x90232),x90233),x90233)),f328(f328(f84(x90232),x90231),x90231))))
% 28.33/28.22 [9543]~P43(x95431,x95433)+~P43(x95431,x95432)+P43(x95431,f328(f328(f105(f918(f917(x95431,x95431),a905)),x95432),x95433))+~P107(f328(f328(f239(f918(f917(x95431,x95431),a905)),f328(f328(f290(x95431,x95431,x95431),x95432),x95433)),x95432))
% 28.33/28.22 [9670]~P107(f328(x96701,x96703))+~P107(f328(f64(x96702),x96703))+P107(f328(x96701,f190(f918(x96702,a905))))+~P107(f328(x96701,f328(f328(f3(f918(x96702,a905)),f382(x96701,x96703,x96702)),f328(f328(f310(x96702),f409(x96701,x96703,x96702)),f190(f918(x96702,a905))))))
% 28.33/28.22 [8815]~P107(f328(f328(f240(a1),f2(a1)),x88153))+P107(f328(f328(f239(a1),f2(a1)),x88151))+~P107(f328(f328(f240(a1),x88152),x88153))+~P107(f328(f328(f239(a1),f2(a1)),f328(f328(f83(a1),f328(f328(f84(a1),x88153),x88151)),x88152)))
% 28.33/28.22 [8838]~P101(x88381)+~P107(f328(f64(x88381),x88382))+E(f328(f328(f3(f918(x88381,a905)),x88382),f328(f328(f310(x88381),x88383),f190(f918(x88381,a905)))),f190(f918(x88381,a905)))+E(f328(f328(f106(x88381),x88383),f13(x88381,f328(f328(f3(f918(x88381,a905)),x88382),f328(f328(f310(x88381),x88383),f190(f918(x88381,a905)))))),f13(x88381,f328(f328(f310(x88381),x88383),x88382)))
% 28.33/28.22 [8839]~P101(x88391)+~P107(f328(f64(x88391),x88392))+E(f328(f328(f3(f918(x88391,a905)),x88392),f328(f328(f310(x88391),x88393),f190(f918(x88391,a905)))),f190(f918(x88391,a905)))+E(f328(f328(f105(x88391),x88393),f12(x88391,f328(f328(f3(f918(x88391,a905)),x88392),f328(f328(f310(x88391),x88393),f190(f918(x88391,a905)))))),f12(x88391,f328(f328(f310(x88391),x88393),x88392)))
% 28.33/28.22 [8840]~P109(x88401)+~P107(f328(f64(x88401),x88402))+E(f328(f328(f3(f918(x88401,a905)),x88402),f328(f328(f310(x88401),x88403),f190(f918(x88401,a905)))),f190(f918(x88401,a905)))+E(f328(f328(f238(x88401),x88403),f16(x88401,f328(f328(f3(f918(x88401,a905)),x88402),f328(f328(f310(x88401),x88403),f190(f918(x88401,a905)))))),f16(x88401,f328(f328(f310(x88401),x88403),x88402)))
% 28.33/28.22 [8841]~P109(x88411)+~P107(f328(f64(x88411),x88412))+E(f328(f328(f3(f918(x88411,a905)),x88412),f328(f328(f310(x88411),x88413),f190(f918(x88411,a905)))),f190(f918(x88411,a905)))+E(f328(f328(f243(x88411),x88413),f17(x88411,f328(f328(f3(f918(x88411,a905)),x88412),f328(f328(f310(x88411),x88413),f190(f918(x88411,a905)))))),f17(x88411,f328(f328(f310(x88411),x88413),x88412)))
% 28.33/28.22 [8908]~P109(x89081)+~P107(f328(f64(x89081),x89082))+E(f328(f328(f3(f918(x89081,a905)),x89082),f328(f328(f310(x89081),x89083),f190(f918(x89081,a905)))),f190(f918(x89081,a905)))+E(f328(f328(f238(x89081),x89083),f14(x89081,f238(x89081),f328(f328(f3(f918(x89081,a905)),x89082),f328(f328(f310(x89081),x89083),f190(f918(x89081,a905)))))),f14(x89081,f238(x89081),f328(f328(f310(x89081),x89083),x89082)))
% 28.33/28.22 [8909]~P109(x89091)+~P107(f328(f64(x89091),x89092))+E(f328(f328(f3(f918(x89091,a905)),x89092),f328(f328(f310(x89091),x89093),f190(f918(x89091,a905)))),f190(f918(x89091,a905)))+E(f328(f328(f243(x89091),x89093),f15(x89091,f243(x89091),f328(f328(f3(f918(x89091,a905)),x89092),f328(f328(f310(x89091),x89093),f190(f918(x89091,a905)))))),f15(x89091,f243(x89091),f328(f328(f310(x89091),x89093),x89092)))
% 28.33/28.22 [9485]E(x94851,x94852)+~E(f328(f144(f912(x94853),f912(x94853),f136(x94853),f117(x94853)),x94851),f328(f144(f912(x94853),f912(x94853),f136(x94853),f117(x94853)),x94852))+~E(f328(f191(f912(f912(x94853))),x94851),f328(f191(f912(f912(x94853))),x94852))+P107(f328(f328(f330(f917(f912(x94853),f912(x94853))),f650(x94852,x94851,x94853)),f328(f174(f917(f912(x94853),f912(x94853))),f328(f328(f183(f912(x94853),f912(x94853)),x94851),x94852))))
% 28.33/28.22 [9486]E(x94861,x94862)+~E(f328(f144(f912(x94863),f912(x94863),f136(x94863),f117(x94863)),x94861),f328(f144(f912(x94863),f912(x94863),f136(x94863),f117(x94863)),x94862))+~E(f328(f191(f912(f912(x94863))),x94861),f328(f191(f912(f912(x94863))),x94862))+P107(f328(f328(f330(f917(f912(x94863),f912(x94863))),f651(x94861,x94862,x94863)),f328(f174(f917(f912(x94863),f912(x94863))),f328(f328(f183(f912(x94863),f912(x94863)),x94862),x94861))))
% 28.33/28.22 [10310]~P81(x103102)+E(x103101,f190(f918(x103102,a905)))+~P107(f328(f64(x103102),x103101))+E(f16(x103102,f328(f266(x103102),f328(f328(f10(f918(x103102,a905),a905,x103102),f90(x103102)),f328(f328(f9(x103102,f918(x103102,a905),f918(x103102,a905)),f328(f328(f10(f918(x103102,f918(a905,a905)),f918(f918(x103102,a905),f918(x103102,a905)),x103102),f20(x103102,a905,a905)),f328(f328(f10(f918(x103102,a905),f918(x103102,f918(a905,a905)),x103102),f328(f10(a905,f918(a905,a905),x103102),a326)),f328(f328(f9(x103102,f918(x103102,x103102),f918(x103102,a905)),f328(f328(f10(f918(x103102,a905),f918(f918(x103102,x103102),f918(x103102,a905)),x103102),f10(x103102,a905,x103102)),a325)),f328(f83(x103102),x103103))))),f328(f328(f9(x103102,f918(x103102,a905),a905),f330(x103102)),x103101))))),f328(f328(f83(x103102),x103103),f16(x103102,x103101)))
% 28.33/28.22 [10311]~P81(x103112)+E(x103111,f190(f918(x103112,a905)))+~P107(f328(f64(x103112),x103111))+E(f17(x103112,f328(f266(x103112),f328(f328(f10(f918(x103112,a905),a905,x103112),f90(x103112)),f328(f328(f9(x103112,f918(x103112,a905),f918(x103112,a905)),f328(f328(f10(f918(x103112,f918(a905,a905)),f918(f918(x103112,a905),f918(x103112,a905)),x103112),f20(x103112,a905,a905)),f328(f328(f10(f918(x103112,a905),f918(x103112,f918(a905,a905)),x103112),f328(f10(a905,f918(a905,a905),x103112),a326)),f328(f328(f9(x103112,f918(x103112,x103112),f918(x103112,a905)),f328(f328(f10(f918(x103112,a905),f918(f918(x103112,x103112),f918(x103112,a905)),x103112),f10(x103112,a905,x103112)),a325)),f328(f83(x103112),x103113))))),f328(f328(f9(x103112,f918(x103112,a905),a905),f330(x103112)),x103111))))),f328(f328(f83(x103112),x103113),f17(x103112,x103111)))
% 28.33/28.22 [10312]~P102(x103122)+E(x103121,f190(f918(x103122,a905)))+~P107(f328(f64(x103122),x103121))+E(f13(x103122,f328(f266(x103122),f328(f328(f10(f918(x103122,a905),a905,x103122),f90(x103122)),f328(f328(f9(x103122,f918(x103122,a905),f918(x103122,a905)),f328(f328(f10(f918(x103122,f918(a905,a905)),f918(f918(x103122,a905),f918(x103122,a905)),x103122),f20(x103122,a905,a905)),f328(f328(f10(f918(x103122,a905),f918(x103122,f918(a905,a905)),x103122),f328(f10(a905,f918(a905,a905),x103122),a326)),f328(f328(f9(x103122,f918(x103122,x103122),f918(x103122,a905)),f328(f328(f10(f918(x103122,a905),f918(f918(x103122,x103122),f918(x103122,a905)),x103122),f10(x103122,a905,x103122)),a325)),f328(f105(x103122),x103123))))),f328(f328(f9(x103122,f918(x103122,a905),a905),f330(x103122)),x103121))))),f328(f328(f105(x103122),x103123),f13(x103122,x103121)))
% 28.33/28.22 [10313]~P102(x103132)+E(x103131,f190(f918(x103132,a905)))+~P107(f328(f64(x103132),x103131))+E(f12(x103132,f328(f266(x103132),f328(f328(f10(f918(x103132,a905),a905,x103132),f90(x103132)),f328(f328(f9(x103132,f918(x103132,a905),f918(x103132,a905)),f328(f328(f10(f918(x103132,f918(a905,a905)),f918(f918(x103132,a905),f918(x103132,a905)),x103132),f20(x103132,a905,a905)),f328(f328(f10(f918(x103132,a905),f918(x103132,f918(a905,a905)),x103132),f328(f10(a905,f918(a905,a905),x103132),a326)),f328(f328(f9(x103132,f918(x103132,x103132),f918(x103132,a905)),f328(f328(f10(f918(x103132,a905),f918(f918(x103132,x103132),f918(x103132,a905)),x103132),f10(x103132,a905,x103132)),a325)),f328(f106(x103132),x103133))))),f328(f328(f9(x103132,f918(x103132,a905),a905),f330(x103132)),x103131))))),f328(f328(f106(x103132),x103133),f12(x103132,x103131)))
% 28.33/28.22 [10314]~P109(x103142)+E(x103141,f190(f918(x103142,a905)))+~P107(f328(f64(x103142),x103141))+E(f14(x103142,f238(x103142),f328(f266(x103142),f328(f328(f10(f918(x103142,a905),a905,x103142),f90(x103142)),f328(f328(f9(x103142,f918(x103142,a905),f918(x103142,a905)),f328(f328(f10(f918(x103142,f918(a905,a905)),f918(f918(x103142,a905),f918(x103142,a905)),x103142),f20(x103142,a905,a905)),f328(f328(f10(f918(x103142,a905),f918(x103142,f918(a905,a905)),x103142),f328(f10(a905,f918(a905,a905),x103142),a326)),f328(f328(f9(x103142,f918(x103142,x103142),f918(x103142,a905)),f328(f328(f10(f918(x103142,a905),f918(f918(x103142,x103142),f918(x103142,a905)),x103142),f10(x103142,a905,x103142)),a325)),f328(f243(x103142),x103143))))),f328(f328(f9(x103142,f918(x103142,a905),a905),f330(x103142)),x103141))))),f328(f328(f243(x103142),x103143),f14(x103142,f238(x103142),x103141)))
% 28.33/28.22 [10315]~P109(x103152)+E(x103151,f190(f918(x103152,a905)))+~P107(f328(f64(x103152),x103151))+E(f15(x103152,f243(x103152),f328(f266(x103152),f328(f328(f10(f918(x103152,a905),a905,x103152),f90(x103152)),f328(f328(f9(x103152,f918(x103152,a905),f918(x103152,a905)),f328(f328(f10(f918(x103152,f918(a905,a905)),f918(f918(x103152,a905),f918(x103152,a905)),x103152),f20(x103152,a905,a905)),f328(f328(f10(f918(x103152,a905),f918(x103152,f918(a905,a905)),x103152),f328(f10(a905,f918(a905,a905),x103152),a326)),f328(f328(f9(x103152,f918(x103152,x103152),f918(x103152,a905)),f328(f328(f10(f918(x103152,a905),f918(f918(x103152,x103152),f918(x103152,a905)),x103152),f10(x103152,a905,x103152)),a325)),f328(f238(x103152),x103153))))),f328(f328(f9(x103152,f918(x103152,a905),a905),f330(x103152)),x103151))))),f328(f328(f238(x103152),x103153),f15(x103152,f243(x103152),x103151)))
% 28.33/28.22 [10049]~P113(x100491)+~E(x100493,f2(x100491))+~E(x100492,f2(x100491))+E(f328(f328(f83(x100491),f328(f328(f248(x100491),x100492),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))),f328(f328(f248(x100491),x100493),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))),f2(x100491))
% 28.33/28.22 [10187]~P125(x101871)+~P107(f328(f328(f239(x101871),f2(x101871)),x101873))+P107(f328(f328(f240(x101871),x101872),x101873))+~P107(f328(f328(f240(x101871),f328(f328(f248(x101871),x101872),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))),f328(f328(f248(x101871),x101873),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))))
% 28.33/28.22 [10188]~P125(x101881)+~P107(f328(f328(f239(x101881),f2(x101881)),x101883))+P107(f328(f328(f239(x101881),x101882),x101883))+~P107(f328(f328(f239(x101881),f328(f328(f248(x101881),x101882),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))),f328(f328(f248(x101881),x101883),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))))
% 28.33/28.22 [10243]~P113(x102432)+~E(x102431,f2(x102432))+~E(x102433,f2(x102432))+~P107(f328(f328(f240(x102432),f2(x102432)),f328(f328(f83(x102432),f328(f328(f248(x102432),x102433),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101))))),f328(f328(f248(x102432),x102431),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))))
% 28.33/28.22 [8753]P31(x87531,x87532,f850(x87533,x87532,x87534,x87531),x87534,x87533)+~E(f328(f38(x87531),x87534),f328(f38(x87532),x87533))+~P107(f328(f64(x87532),x87533))+~P107(f328(f64(x87531),x87534))
% 28.33/28.22 [9448]E(x94481,x94482)+~E(f604(x94481,x94482,x94484,x94483),f605(x94481,x94482,x94484,x94483))+P107(f328(f328(f330(f917(f912(x94483),f912(x94483))),f328(f328(f256(f912(x94483),f912(x94483)),x94482),x94481)),f149(x94483,x94484)))+P107(f328(f328(f330(f917(f912(x94483),f912(x94483))),f328(f328(f256(f912(x94483),f912(x94483)),x94481),x94482)),f149(x94483,x94484)))
% 28.33/28.22 [4979]~P69(x49792)+~E(x49794,f2(x49792))+~E(x49791,f2(x49792))+E(x49791,f328(f328(f291(x49792),x49793),x49794))
% 28.33/28.22 [4980]~P69(x49801)+~E(x49803,f2(x49801))+~E(x49804,f2(x49801))+E(f328(f328(f291(x49801),x49802),x49803),x49804)
% 28.33/28.22 [5096]~P69(x50962)+E(x50961,f2(x50962))+~E(x50963,f2(x50962))+~E(x50961,f328(f328(f291(x50962),x50964),x50963))
% 28.33/28.22 [5097]~P69(x50972)+E(x50971,f2(x50972))+~E(x50973,f2(x50972))+~E(f328(f328(f291(x50972),x50974),x50973),x50971)
% 28.33/28.22 [5276]~P121(x52762)+E(x52761,f2(x52762))+~E(f328(f328(f291(x52762),x52763),x52761),x52764)+E(x52763,f328(f328(f84(x52762),x52764),x52761))
% 28.33/28.22 [5277]~P121(x52772)+E(x52771,f2(x52772))+~E(f328(f328(f84(x52772),x52773),x52771),x52774)+E(x52773,f328(f328(f291(x52772),x52774),x52771))
% 28.33/28.22 [5278]~P121(x52782)+E(x52781,f2(x52782))+~E(f328(f328(f84(x52782),x52783),x52781),x52784)+E(x52783,f328(f328(f291(x52782),x52784),x52781))
% 28.33/28.22 [5279]~P69(x52792)+E(x52791,f2(x52792))+~E(f328(f328(f291(x52792),x52793),x52791),x52794)+E(x52793,f328(f328(f84(x52792),x52794),x52791))
% 28.33/28.22 [5280]~P69(x52802)+E(x52801,f2(x52802))+~E(f328(f328(f84(x52802),x52803),x52801),x52804)+E(x52803,f328(f328(f291(x52802),x52804),x52801))
% 28.33/28.22 [5281]~P121(x52812)+E(x52811,f2(x52812))+~E(x52813,f328(f328(f291(x52812),x52814),x52811))+E(f328(f328(f84(x52812),x52813),x52811),x52814)
% 28.33/28.22 [5282]~P121(x52822)+E(x52821,f2(x52822))+~E(x52823,f328(f328(f84(x52822),x52824),x52821))+E(f328(f328(f291(x52822),x52823),x52821),x52824)
% 28.33/28.22 [5283]~P121(x52832)+E(x52831,f2(x52832))+~E(x52833,f328(f328(f84(x52832),x52834),x52831))+E(f328(f328(f291(x52832),x52833),x52831),x52834)
% 28.33/28.22 [5284]~P69(x52842)+E(x52841,f2(x52842))+~E(x52843,f328(f328(f291(x52842),x52844),x52841))+E(f328(f328(f84(x52842),x52843),x52841),x52844)
% 28.33/28.22 [5285]~P69(x52852)+E(x52851,f2(x52852))+~E(x52853,f328(f328(f84(x52852),x52854),x52851))+E(f328(f328(f291(x52852),x52853),x52851),x52854)
% 28.33/28.22 [5310]~P69(x53102)+~E(x53101,f2(x53102))+~E(f328(f328(f84(x53102),x53101),x53104),x53103)+E(x53101,f328(f328(f291(x53102),x53103),x53104))
% 28.33/28.22 [5311]~P69(x53111)+~E(x53114,f2(x53111))+~E(x53112,f328(f328(f84(x53111),x53114),x53113))+E(f328(f328(f291(x53111),x53112),x53113),x53114)
% 28.33/28.22 [5385]~E(x53853,x53854)+~E(x53852,x53853)+~P111(x53851)+E(f304(x53851,x53852,x53853),f328(f328(f310(x53851),x53854),f190(f918(x53851,a905))))
% 28.33/28.22 [5593]~E(f146(x55932,x55931),x55934)+~E(f118(x55932,x55931),x55933)+E(x55931,f117(x55932))+E(f328(f328(f136(x55932),x55933),f328(f328(f153(x55932),x55934),f117(x55932))),x55931)
% 28.33/28.22 [6223]~P125(x62233)+E(x62231,x62232)+~E(f328(f328(f248(x62233),x62234),x62231),f328(f328(f248(x62233),x62234),x62232))+~P107(f328(f328(f240(x62233),f81(x62233)),x62234))
% 28.33/28.22 [6224]E(x62241,x62242)+~E(f328(f328(f310(x62243),x62244),x62241),f328(f328(f310(x62243),x62244),x62242))+P107(f328(f328(f330(x62243),x62244),x62242))+P107(f328(f328(f330(x62243),x62244),x62241))
% 28.33/28.22 [6267]E(f328(x62671,x62672),f2(a911))+~E(f328(f328(f8(x62673,a911),x62671),x62674),f2(a911))+~P107(f328(f64(x62673),x62674))+~P107(f328(f328(f330(x62673),x62672),x62674))
% 28.33/28.22 [6268]E(f328(x62681,x62682),f81(a911))+~E(f328(f328(f11(x62683,a911),x62681),x62684),f81(a911))+~P107(f328(f64(x62683),x62684))+~P107(f328(f328(f330(x62683),x62682),x62684))
% 28.33/28.22 [6481]~P111(x64811)+~P107(f328(f328(f240(x64811),x64814),x64813))+P107(f328(f328(f240(x64811),x64812),x64813))+~P107(f328(f328(f240(x64811),x64812),x64814))
% 28.33/28.22 [6482]~P111(x64821)+~P107(f328(f328(f239(x64821),x64824),x64823))+P107(f328(f328(f240(x64821),x64822),x64823))+~P107(f328(f328(f240(x64821),x64822),x64824))
% 28.33/28.22 [6483]~P111(x64831)+~P107(f328(f328(f239(x64831),x64832),x64834))+P107(f328(f328(f240(x64831),x64832),x64833))+~P107(f328(f328(f240(x64831),x64834),x64833))
% 28.33/28.22 [6484]~P110(x64841)+~P107(f328(f328(f240(x64841),x64842),x64844))+P107(f328(f328(f240(x64841),x64842),x64843))+~P107(f328(f328(f240(x64841),x64844),x64843))
% 28.33/28.22 [6485]~P110(x64851)+~P107(f328(f328(f239(x64851),x64852),x64854))+P107(f328(f328(f240(x64851),x64852),x64853))+~P107(f328(f328(f240(x64851),x64854),x64853))
% 28.33/28.22 [6486]~P110(x64861)+~P107(f328(f328(f239(x64861),x64864),x64863))+P107(f328(f328(f240(x64861),x64862),x64863))+~P107(f328(f328(f240(x64861),x64862),x64864))
% 28.33/28.22 [6487]~P111(x64871)+~P107(f328(f328(f239(x64871),x64874),x64873))+P107(f328(f328(f239(x64871),x64872),x64873))+~P107(f328(f328(f239(x64871),x64872),x64874))
% 28.33/28.22 [6488]~P110(x64881)+~P107(f328(f328(f239(x64881),x64882),x64884))+P107(f328(f328(f239(x64881),x64882),x64883))+~P107(f328(f328(f239(x64881),x64884),x64883))
% 28.33/28.22 [6570]~P41(x65704,x65703,x65702)+E(x65701,f792(x65702,x65703,x65704))+~P107(f328(x65703,x65701))+~P107(f328(f328(f330(x65704),x65701),f328(f174(x65704),x65702)))
% 28.33/28.22 [6571]~P41(x65714,x65713,x65712)+E(x65711,f802(x65712,x65713,x65714))+~P107(f328(x65713,x65711))+~P107(f328(f328(f330(x65714),x65711),f328(f174(x65714),x65712)))
% 28.33/28.22 [6720]~P10(x67201)+~P107(f328(f328(f239(x67201),x67202),f41(x67201,x67204)))+P107(f328(f328(f239(x67201),x67202),x67203))+~P107(f328(f328(f330(x67201),x67203),x67204))
% 28.33/28.22 [6861]~P109(x68611)+~P18(x68611,f328(f328(f153(x68611),x68612),x68614))+~P107(f328(f328(f330(x68611),x68613),f328(f174(x68611),x68614)))+P107(f328(f328(f239(x68611),x68612),x68613))
% 28.33/28.22 [6862]~P109(x68621)+~P18(x68621,f328(f328(f153(x68621),x68622),x68624))+~P107(f328(f328(f330(x68621),x68623),f328(f174(x68621),x68624)))+P107(f328(f328(f239(x68621),x68622),x68623))
% 28.33/28.22 [6951]~P10(x69511)+~P107(f328(f328(f239(x69511),f40(x69511,x69514)),x69513))+P107(f328(f328(f239(x69511),x69512),x69513))+~P107(f328(f328(f330(x69511),x69512),x69514))
% 28.33/28.22 [7351]~P109(x73511)+E(f328(f328(f105(f918(x73511,a905)),f328(f303(x73511,x73512),x73513)),f328(f303(x73511,x73513),x73514)),f328(f303(x73511,x73512),x73514))+~P107(f328(f328(f239(x73511),x73513),x73514))+~P107(f328(f328(f239(x73511),x73512),x73513))
% 28.33/28.22 [7398]P41(x73981,x73982,x73983)+~E(f794(x73983,x73982,x73981,x73984),x73984)+~P107(f328(x73982,x73984))+~P107(f328(f328(f330(x73981),x73984),f328(f174(x73981),x73983)))
% 28.33/28.22 [7399]P41(x73991,x73992,x73993)+~E(f805(x73993,x73992,x73991,x73994),x73994)+~P107(f328(x73992,x73994))+~P107(f328(f328(f330(x73991),x73994),f328(f174(x73991),x73993)))
% 28.33/28.22 [7477]~P109(x74771)+E(f328(f328(f105(f918(x74771,a905)),f328(f303(x74771,x74772),x74773)),f304(x74771,x74773,x74774)),f304(x74771,x74772,x74774))+~P107(f328(f328(f239(x74771),x74773),x74774))+~P107(f328(f328(f239(x74771),x74772),x74773))
% 28.33/28.22 [7539]~P109(x75391)+E(f328(f328(f105(f918(x75391,a905)),f307(x75391,x75392,x75393)),f328(f303(x75391,x75393),x75394)),f307(x75391,x75392,x75394))+~P107(f328(f328(f240(x75391),x75392),x75393))+~P107(f328(f328(f239(x75391),x75393),x75394))
% 28.33/28.22 [7559]~P109(x75591)+E(f328(f328(f105(f918(x75591,a905)),f304(x75591,x75592,x75593)),f307(x75591,x75593,x75594)),f328(f303(x75591,x75592),x75594))+~P107(f328(f328(f240(x75591),x75593),x75594))+~P107(f328(f328(f239(x75591),x75592),x75593))
% 28.33/28.22 [7593]~P109(x75931)+E(f328(f328(f105(f918(x75931,a905)),f307(x75931,x75932,x75933)),f304(x75931,x75933,x75934)),f306(x75931,x75932,x75934))+~P107(f328(f328(f240(x75931),x75932),x75933))+~P107(f328(f328(f239(x75931),x75933),x75934))
% 28.33/28.22 [7594]~P109(x75941)+E(f328(f328(f105(f918(x75941,a905)),f306(x75941,x75942,x75943)),f307(x75941,x75943,x75944)),f307(x75941,x75942,x75944))+~P107(f328(f328(f240(x75941),x75943),x75944))+~P107(f328(f328(f239(x75941),x75942),x75943))
% 28.33/28.22 [7595]~P109(x75951)+E(f328(f328(f105(f918(x75951,a905)),f306(x75951,x75952,x75953)),f306(x75951,x75953,x75954)),f306(x75951,x75952,x75954))+~P107(f328(f328(f239(x75951),x75953),x75954))+~P107(f328(f328(f239(x75951),x75952),x75953))
% 28.33/28.22 [7596]~P109(x75961)+E(f328(f328(f105(f918(x75961,a905)),f304(x75961,x75962,x75963)),f306(x75961,x75963,x75964)),f304(x75961,x75962,x75964))+~P107(f328(f328(f239(x75961),x75963),x75964))+~P107(f328(f328(f239(x75961),x75962),x75963))
% 28.33/28.22 [8393]P30(x83931,x83932,f469(x83933,x83932,x83934,x83931),x83934)+~P107(f328(f64(x83932),x83933))+~P107(f328(f64(x83931),x83934))+~P107(f328(f328(f239(a911),f328(f38(x83931),x83934)),f328(f38(x83932),x83933)))
% 28.33/28.22 [8414]P41(x84141,x84142,x84143)+~P107(f328(x84142,x84144))+P107(f328(x84142,f794(x84143,x84142,x84141,x84144)))+~P107(f328(f328(f330(x84141),x84144),f328(f174(x84141),x84143)))
% 28.33/28.22 [8415]P41(x84151,x84152,x84153)+~P107(f328(x84152,x84154))+P107(f328(x84152,f805(x84153,x84152,x84151,x84154)))+~P107(f328(f328(f330(x84151),x84154),f328(f174(x84151),x84153)))
% 28.33/28.22 [8469]~P78(x84691)+~E(f328(x84693,f740(x84693,x84694,x84692,x84691)),f81(x84691))+E(f328(f328(f328(f68(x84691,x84692,f84(x84691)),x84693),f81(x84691)),x84694),f81(x84691))+~P107(f328(f64(x84692),x84694))
% 28.33/28.22 [8742]~P125(x87421)+~P107(f328(f328(f239(x87421),f2(x87421)),x87423))+P107(f328(f328(f239(x87421),x87422),x87423))+~P107(f328(f328(f239(x87421),f328(f328(f248(x87421),x87422),f328(a116,x87424))),f328(f328(f248(x87421),x87423),f328(a116,x87424))))
% 28.33/28.22 [9049]P41(x90491,x90492,x90493)+~P107(f328(x90492,x90494))+~P107(f328(f328(f330(x90491),x90494),f328(f174(x90491),x90493)))+P107(f328(f328(f330(x90491),f794(x90493,x90492,x90491,x90494)),f328(f174(x90491),x90493)))
% 28.33/28.22 [9050]P41(x90501,x90502,x90503)+~P107(f328(x90502,x90504))+~P107(f328(f328(f330(x90501),x90504),f328(f174(x90501),x90503)))+P107(f328(f328(f330(x90501),f805(x90503,x90502,x90501,x90504)),f328(f174(x90501),x90503)))
% 28.33/28.22 [9125]~P78(x91251)+E(f328(f328(f328(f68(x91251,x91252,f84(x91251)),x91253),f81(x91251)),x91254),f81(x91251))+~P107(f328(f64(x91252),x91254))+P107(f328(f328(f330(x91252),f740(x91253,x91254,x91252,x91251)),x91254))
% 28.33/28.22 [9615]~P107(f328(f328(f239(a1),x96154),f2(a1)))+P107(f328(f328(f239(a1),f328(f328(f83(a1),f328(f328(f84(a1),x96151),f48(a1,x96152,x96153))),x96154)),f2(a1)))+~P107(f328(f328(f240(a1),f2(a1)),x96153))+~P107(f328(f328(f240(a1),x96151),x96154))
% 28.33/28.22 [10042]~P107(f328(f64(x100421),x100422))+~P107(f328(f328(f330(x100421),x100424),x100422))+~P107(f328(f328(f330(x100421),x100423),x100422))+P107(f328(f328(f240(a911),f328(f38(x100421),f328(f328(f3(f918(x100421,a905)),f328(f328(f3(f918(x100421,a905)),x100422),f328(f328(f310(x100421),x100423),f190(f918(x100421,a905))))),f328(f328(f310(x100421),x100424),f190(f918(x100421,a905)))))),f328(f38(x100421),x100422)))
% 28.33/28.22 [7063]~P109(x70631)+~P107(f328(f328(f240(x70631),x70632),x70634))+~P107(f328(f328(f240(x70631),x70632),x70633))+P107(f328(f328(f240(x70631),x70632),f328(f328(f243(x70631),x70633),x70634)))
% 28.33/28.22 [7064]~P109(x70641)+~P107(f328(f328(f239(x70641),x70642),x70644))+~P107(f328(f328(f239(x70641),x70642),x70643))+P107(f328(f328(f239(x70641),x70642),f328(f328(f243(x70641),x70643),x70644)))
% 28.33/28.22 [7065]~P109(x70651)+~P107(f328(f328(f239(x70651),x70652),x70654))+~P107(f328(f328(f239(x70651),x70652),x70653))+P107(f328(f328(f239(x70651),x70652),f328(f328(f243(x70651),x70653),x70654)))
% 28.33/28.22 [7066]~P109(x70661)+~P107(f328(f328(f239(x70661),x70662),x70664))+~P107(f328(f328(f239(x70661),x70662),x70663))+P107(f328(f328(f239(x70661),x70662),f328(f328(f243(x70661),x70663),x70664)))
% 28.33/28.22 [7067]~P104(x70671)+~P107(f328(f328(f239(x70671),x70672),x70674))+~P107(f328(f328(f239(x70671),x70672),x70673))+P107(f328(f328(f239(x70671),x70672),f328(f328(f106(x70671),x70673),x70674)))
% 28.33/28.22 [7068]~P104(x70681)+~P107(f328(f328(f239(x70681),x70682),x70684))+~P107(f328(f328(f239(x70681),x70682),x70683))+P107(f328(f328(f239(x70681),x70682),f328(f328(f106(x70681),x70683),x70684)))
% 28.33/28.22 [7069]~P104(x70691)+~P107(f328(f328(f239(x70691),x70692),x70694))+~P107(f328(f328(f239(x70691),x70692),x70693))+P107(f328(f328(f239(x70691),x70692),f328(f328(f106(x70691),x70693),x70694)))
% 28.33/28.22 [7089]~P70(x70892)+E(x70891,f2(x70892))+E(f328(f328(f291(x70892),f328(f328(f248(x70892),x70891),x70893)),f328(f328(f248(x70892),x70891),x70894)),f328(f328(f248(x70892),x70891),f328(f328(f3(a911),x70893),x70894)))+~P107(f328(f328(f239(a911),x70894),x70893))
% 28.33/28.22 [7132]~P109(x71321)+~P18(x71321,f328(f328(f153(x71321),x71323),x71324))+P18(x71321,f328(f328(f153(x71321),x71322),f328(f328(f153(x71321),x71323),x71324)))+~P107(f328(f328(f239(x71321),x71322),x71323))
% 28.33/28.22 [7133]~P109(x71331)+~P18(x71331,f328(f328(f153(x71331),x71333),x71334))+P18(x71331,f328(f328(f153(x71331),x71332),f328(f328(f153(x71331),x71333),x71334)))+~P107(f328(f328(f239(x71331),x71332),x71333))
% 28.33/28.22 [7168]~P88(x71681)+~P107(f328(f328(f239(x71681),f2(x71681)),x71683))+~P107(f328(f328(f240(x71681),x71682),x71684))+P107(f328(f328(f240(x71681),x71682),f328(f328(f83(x71681),x71683),x71684)))
% 28.33/28.22 [7169]~P88(x71691)+~P107(f328(f328(f239(x71691),x71692),x71694))+~P107(f328(f328(f240(x71691),f2(x71691)),x71693))+P107(f328(f328(f240(x71691),x71692),f328(f328(f83(x71691),x71693),x71694)))
% 28.33/28.22 [7170]~P125(x71701)+~P107(f328(f328(f240(x71701),f2(x71701)),x71703))+~P107(f328(f328(f240(x71701),x71702),x71704))+P107(f328(f328(f240(x71701),x71702),f328(f328(f83(x71701),x71703),x71704)))
% 28.33/28.22 [7171]~P88(x71711)+~P107(f328(f328(f239(x71711),f2(x71711)),x71714))+~P107(f328(f328(f239(x71711),x71712),x71713))+P107(f328(f328(f239(x71711),x71712),f328(f328(f83(x71711),x71713),x71714)))
% 28.33/28.22 [7172]~P88(x71721)+~P107(f328(f328(f239(x71721),f2(x71721)),x71723))+~P107(f328(f328(f239(x71721),x71722),x71724))+P107(f328(f328(f239(x71721),x71722),f328(f328(f83(x71721),x71723),x71724)))
% 28.33/28.22 [7213]~P109(x72131)+P107(f328(f328(f240(x72131),x72132),x72133))+P107(f328(f328(f240(x72131),x72132),x72134))+~P107(f328(f328(f240(x72131),x72132),f328(f328(f238(x72131),x72134),x72133)))
% 28.33/28.22 [7214]~P109(x72141)+P107(f328(f328(f239(x72141),x72142),x72143))+P107(f328(f328(f239(x72141),x72142),x72144))+~P107(f328(f328(f239(x72141),x72142),f328(f328(f238(x72141),x72144),x72143)))
% 28.33/28.22 [7512]~P111(x75122)+~P68(x75121)+~P107(f328(f328(f240(f918(x75121,x75122)),x75123),x75124))+P107(f328(f328(f239(f918(x75121,x75122)),x75123),x75124))
% 28.33/28.22 [7879]~P72(x78791)+~P107(f328(f328(f240(x78791),x78794),f2(x78791)))+~P107(f328(f328(f240(x78791),x78793),f328(f328(f291(x78791),x78792),x78794)))+P107(f328(f328(f240(x78791),x78792),f328(f328(f84(x78791),x78793),x78794)))
% 28.33/28.22 [7880]~P72(x78801)+~P107(f328(f328(f240(x78801),x78804),f2(x78801)))+~P107(f328(f328(f240(x78801),x78803),f328(f328(f84(x78801),x78802),x78804)))+P107(f328(f328(f240(x78801),x78802),f328(f328(f291(x78801),x78803),x78804)))
% 28.33/28.22 [7881]~P72(x78811)+~P107(f328(f328(f240(x78811),x78814),f2(x78811)))+~P107(f328(f328(f239(x78811),x78813),f328(f328(f291(x78811),x78812),x78814)))+P107(f328(f328(f239(x78811),x78812),f328(f328(f84(x78811),x78813),x78814)))
% 28.33/28.22 [7882]~P72(x78821)+~P107(f328(f328(f240(x78821),x78824),f2(x78821)))+~P107(f328(f328(f239(x78821),x78823),f328(f328(f84(x78821),x78822),x78824)))+P107(f328(f328(f239(x78821),x78822),f328(f328(f291(x78821),x78823),x78824)))
% 28.33/28.22 [7993]~P127(x79931)+~P107(f328(f328(f240(x79931),x79932),f2(x79931)))+~P107(f328(f328(f240(x79931),x79934),x79933))+P107(f328(f328(f240(x79931),f328(f328(f84(x79931),x79932),x79933)),f328(f328(f84(x79931),x79932),x79934)))
% 28.33/28.22 [7994]~P127(x79941)+~P107(f328(f328(f240(x79941),x79942),f2(x79941)))+~P107(f328(f328(f240(x79941),x79944),x79943))+P107(f328(f328(f240(x79941),f328(f328(f84(x79941),x79942),x79943)),f328(f328(f84(x79941),x79942),x79944)))
% 28.33/28.22 [7995]~P127(x79951)+~P107(f328(f328(f240(x79951),x79953),f2(x79951)))+~P107(f328(f328(f240(x79951),x79954),x79952))+P107(f328(f328(f240(x79951),f328(f328(f84(x79951),x79952),x79953)),f328(f328(f84(x79951),x79954),x79953)))
% 28.33/28.22 [7996]~P127(x79961)+~P107(f328(f328(f240(x79961),x79963),f2(x79961)))+~P107(f328(f328(f240(x79961),x79964),x79962))+P107(f328(f328(f240(x79961),f328(f328(f84(x79961),x79962),x79963)),f328(f328(f84(x79961),x79964),x79963)))
% 28.33/28.22 [7997]~P127(x79971)+~P107(f328(f328(f240(x79971),x79972),f2(x79971)))+~P107(f328(f328(f240(x79971),x79974),x79973))+P107(f328(f328(f240(x79971),f328(f328(f84(x79971),x79972),x79973)),f328(f328(f84(x79971),x79972),x79974)))
% 28.33/28.22 [7998]~P72(x79981)+~P107(f328(f328(f240(x79981),x79983),f2(x79981)))+~P107(f328(f328(f240(x79981),x79984),x79982))+P107(f328(f328(f240(x79981),f328(f328(f291(x79981),x79982),x79983)),f328(f328(f291(x79981),x79984),x79983)))
% 28.33/28.22 [7999]~P127(x79991)+~P107(f328(f328(f240(x79991),x79992),f2(x79991)))+~P107(f328(f328(f239(x79991),x79994),x79993))+P107(f328(f328(f239(x79991),f328(f328(f84(x79991),x79992),x79993)),f328(f328(f84(x79991),x79992),x79994)))
% 28.33/28.22 [8000]~P136(x80001)+~P107(f328(f328(f239(x80001),x80002),f2(x80001)))+~P107(f328(f328(f239(x80001),x80004),x80003))+P107(f328(f328(f239(x80001),f328(f328(f84(x80001),x80002),x80003)),f328(f328(f84(x80001),x80002),x80004)))
% 28.33/28.22 [8001]~P136(x80011)+~P107(f328(f328(f239(x80011),x80013),f2(x80011)))+~P107(f328(f328(f239(x80011),x80014),x80012))+P107(f328(f328(f239(x80011),f328(f328(f84(x80011),x80012),x80013)),f328(f328(f84(x80011),x80014),x80013)))
% 28.33/28.22 [8002]~P71(x80021)+~P107(f328(f328(f239(x80021),x80023),f2(x80021)))+~P107(f328(f328(f239(x80021),x80024),x80022))+P107(f328(f328(f239(x80021),f328(f328(f291(x80021),x80022),x80023)),f328(f328(f291(x80021),x80024),x80023)))
% 28.33/28.22 [8003]~P125(x80031)+~P107(f328(f328(f240(x80031),f81(x80031)),x80032))+~P107(f328(f328(f240(a911),x80033),x80034))+P107(f328(f328(f240(x80031),f328(f328(f248(x80031),x80032),x80033)),f328(f328(f248(x80031),x80032),x80034)))
% 28.33/28.22 [8004]~P125(x80041)+~P107(f328(f328(f240(x80041),f81(x80041)),x80042))+~P107(f328(f328(f240(a911),x80043),x80044))+P107(f328(f328(f240(x80041),f328(f328(f248(x80041),x80042),x80043)),f328(f328(f248(x80041),x80042),x80044)))
% 28.33/28.22 [8005]~P125(x80051)+~P107(f328(f328(f240(x80051),f81(x80051)),x80052))+~P107(f328(f328(f239(a911),x80053),x80054))+P107(f328(f328(f239(x80051),f328(f328(f248(x80051),x80052),x80053)),f328(f328(f248(x80051),x80052),x80054)))
% 28.33/28.22 [8006]~P125(x80061)+~P107(f328(f328(f239(x80061),f81(x80061)),x80062))+~P107(f328(f328(f239(a911),x80063),x80064))+P107(f328(f328(f239(x80061),f328(f328(f248(x80061),x80062),x80063)),f328(f328(f248(x80061),x80062),x80064)))
% 28.33/28.22 [8033]P107(f328(f328(f240(a911),f2(a911)),f328(x80331,x80332)))+~P107(f328(f64(x80333),x80334))+~P107(f328(f328(f330(x80333),x80332),x80334))+~P107(f328(f328(f240(a911),f2(a911)),f328(f328(f11(x80333,a911),x80331),x80334)))
% 28.33/28.22 [8042]~P127(x80421)+~P107(f328(f328(f240(x80421),x80423),x80424))+~P107(f328(f328(f240(x80421),f2(x80421)),x80422))+P107(f328(f328(f240(x80421),f328(f328(f84(x80421),x80422),x80423)),f328(f328(f84(x80421),x80422),x80424)))
% 28.33/28.22 [8043]~P130(x80431)+~P107(f328(f328(f240(x80431),x80433),x80434))+~P107(f328(f328(f240(x80431),f2(x80431)),x80432))+P107(f328(f328(f240(x80431),f328(f328(f84(x80431),x80432),x80433)),f328(f328(f84(x80431),x80432),x80434)))
% 28.33/28.22 [8044]~P123(x80441)+~P107(f328(f328(f240(x80441),x80443),x80444))+~P107(f328(f328(f240(x80441),f2(x80441)),x80442))+P107(f328(f328(f240(x80441),f328(f328(f84(x80441),x80442),x80443)),f328(f328(f84(x80441),x80442),x80444)))
% 28.33/28.22 [8045]~P127(x80451)+~P107(f328(f328(f240(x80451),x80452),x80454))+~P107(f328(f328(f240(x80451),f2(x80451)),x80453))+P107(f328(f328(f240(x80451),f328(f328(f84(x80451),x80452),x80453)),f328(f328(f84(x80451),x80454),x80453)))
% 28.33/28.22 [8046]~P130(x80461)+~P107(f328(f328(f240(x80461),x80462),x80464))+~P107(f328(f328(f240(x80461),f2(x80461)),x80463))+P107(f328(f328(f240(x80461),f328(f328(f84(x80461),x80462),x80463)),f328(f328(f84(x80461),x80464),x80463)))
% 28.33/28.22 [8047]~P127(x80471)+~P107(f328(f328(f240(x80471),x80473),x80474))+~P107(f328(f328(f240(x80471),f2(x80471)),x80472))+P107(f328(f328(f240(x80471),f328(f328(f84(x80471),x80472),x80473)),f328(f328(f84(x80471),x80472),x80474)))
% 28.33/28.22 [8048]~P72(x80481)+~P107(f328(f328(f240(x80481),x80482),x80484))+~P107(f328(f328(f240(x80481),f2(x80481)),x80483))+P107(f328(f328(f240(x80481),f328(f328(f291(x80481),x80482),x80483)),f328(f328(f291(x80481),x80484),x80483)))
% 28.33/28.22 [8049]~P127(x80491)+~P107(f328(f328(f240(x80491),f2(x80491)),x80492))+~P107(f328(f328(f239(x80491),x80493),x80494))+P107(f328(f328(f239(x80491),f328(f328(f84(x80491),x80492),x80493)),f328(f328(f84(x80491),x80492),x80494)))
% 28.33/28.22 [8050]~P138(x80501)+~P107(f328(f328(f239(x80501),x80503),x80504))+~P107(f328(f328(f239(x80501),f2(x80501)),x80502))+P107(f328(f328(f239(x80501),f328(f328(f84(x80501),x80502),x80503)),f328(f328(f84(x80501),x80502),x80504)))
% 28.33/28.22 [8051]~P137(x80511)+~P107(f328(f328(f239(x80511),x80513),x80514))+~P107(f328(f328(f239(x80511),f2(x80511)),x80512))+P107(f328(f328(f239(x80511),f328(f328(f84(x80511),x80512),x80513)),f328(f328(f84(x80511),x80512),x80514)))
% 28.33/28.22 [8052]~P138(x80521)+~P107(f328(f328(f239(x80521),x80522),x80524))+~P107(f328(f328(f239(x80521),f2(x80521)),x80523))+P107(f328(f328(f239(x80521),f328(f328(f84(x80521),x80522),x80523)),f328(f328(f84(x80521),x80524),x80523)))
% 28.33/28.22 [8053]~P125(x80531)+~P107(f328(f328(f239(x80531),x80532),x80534))+~P107(f328(f328(f239(x80531),f2(x80531)),x80532))+P107(f328(f328(f239(x80531),f328(f328(f248(x80531),x80532),x80533)),f328(f328(f248(x80531),x80534),x80533)))
% 28.33/28.22 [8054]~P71(x80541)+~P107(f328(f328(f239(x80541),x80542),x80544))+~P107(f328(f328(f239(x80541),f2(x80541)),x80543))+P107(f328(f328(f239(x80541),f328(f328(f291(x80541),x80542),x80543)),f328(f328(f291(x80541),x80544),x80543)))
% 28.33/28.22 [8096]~P112(x80962)+P107(f328(f328(f239(f918(x80961,x80962)),x80964),x80963))+~P107(f328(f328(f239(f918(x80961,x80962)),x80963),x80964))+P107(f328(f328(f240(f918(x80961,x80962)),x80963),x80964))
% 28.33/28.22 [8141]P107(f328(f328(f330(x81411),x81412),x81413))+P107(f328(f328(f330(x81411),x81412),x81414))+~P107(f328(f328(f239(f918(x81411,a905)),x81414),x81413))+P107(f328(f328(f240(f918(x81411,a905)),x81414),f328(f328(f310(x81411),x81412),x81413)))
% 28.33/28.22 [8304]P107(f328(f328(f330(x83041),x83042),x83043))+P107(f328(f328(f330(x83041),x83042),x83044))+~P107(f328(f328(f240(f918(x83041,a905)),x83044),f328(f328(f310(x83041),x83042),x83043)))+P107(f328(f328(f239(f918(x83041,a905)),x83044),x83043))
% 28.33/28.22 [8371]~P127(x83711)+P107(f328(f328(f240(x83711),x83713),x83712))+P107(f328(f328(f240(x83711),x83712),x83713))+~P107(f328(f328(f240(x83711),f328(f328(f84(x83711),x83714),x83712)),f328(f328(f84(x83711),x83714),x83713)))
% 28.33/28.22 [8372]~P127(x83721)+P107(f328(f328(f240(x83721),x83723),x83722))+P107(f328(f328(f240(x83721),x83722),x83723))+~P107(f328(f328(f240(x83721),f328(f328(f84(x83721),x83722),x83724)),f328(f328(f84(x83721),x83723),x83724)))
% 28.33/28.22 [8383]~P127(x83831)+P107(f328(f328(f240(x83831),x83834),f2(x83831)))+P107(f328(f328(f240(x83831),x83832),x83833))+~P107(f328(f328(f240(x83831),f328(f328(f84(x83831),x83832),x83834)),f328(f328(f84(x83831),x83833),x83834)))
% 28.33/28.22 [8384]~P127(x83841)+P107(f328(f328(f240(x83841),x83844),f2(x83841)))+P107(f328(f328(f240(x83841),x83842),x83843))+~P107(f328(f328(f240(x83841),f328(f328(f84(x83841),x83844),x83842)),f328(f328(f84(x83841),x83844),x83843)))
% 28.33/28.22 [8387]~P127(x83871)+P107(f328(f328(f240(x83871),x83872),x83873))+P107(f328(f328(f240(x83871),f2(x83871)),x83874))+~P107(f328(f328(f240(x83871),f328(f328(f84(x83871),x83874),x83873)),f328(f328(f84(x83871),x83874),x83872)))
% 28.33/28.22 [8388]~P127(x83881)+P107(f328(f328(f240(x83881),x83882),x83883))+P107(f328(f328(f240(x83881),f2(x83881)),x83884))+~P107(f328(f328(f240(x83881),f328(f328(f84(x83881),x83883),x83884)),f328(f328(f84(x83881),x83882),x83884)))
% 28.33/28.22 [8401]~P127(x84011)+P107(f328(f328(f240(x84011),x84012),f2(x84011)))+P107(f328(f328(f240(x84011),f2(x84011)),x84012))+~P107(f328(f328(f240(x84011),f328(f328(f84(x84011),x84013),x84012)),f328(f328(f84(x84011),x84014),x84012)))
% 28.33/28.22 [8402]~P127(x84021)+P107(f328(f328(f240(x84021),x84022),f2(x84021)))+P107(f328(f328(f240(x84021),f2(x84021)),x84022))+~P107(f328(f328(f240(x84021),f328(f328(f84(x84021),x84022),x84023)),f328(f328(f84(x84021),x84022),x84024)))
% 28.33/28.22 [8431]~P127(x84311)+~P107(f328(f328(f240(x84311),x84314),f2(x84311)))+P107(f328(f328(f240(x84311),x84312),x84313))+~P107(f328(f328(f240(x84311),f328(f328(f84(x84311),x84314),x84313)),f328(f328(f84(x84311),x84314),x84312)))
% 28.33/28.22 [8432]~P127(x84321)+~P107(f328(f328(f240(x84321),x84324),f2(x84321)))+P107(f328(f328(f239(x84321),x84322),x84323))+~P107(f328(f328(f239(x84321),f328(f328(f84(x84321),x84324),x84323)),f328(f328(f84(x84321),x84324),x84322)))
% 28.33/28.22 [8444]~P125(x84443)+~P107(f328(f328(f240(x84443),f81(x84443)),x84444))+P107(f328(f328(f240(a911),x84441),x84442))+~P107(f328(f328(f240(x84443),f328(f328(f248(x84443),x84444),x84441)),f328(f328(f248(x84443),x84444),x84442)))
% 28.33/28.22 [8445]~P125(x84453)+~P107(f328(f328(f240(x84453),f81(x84453)),x84454))+P107(f328(f328(f240(a911),x84451),x84452))+~P107(f328(f328(f240(x84453),f328(f328(f248(x84453),x84454),x84451)),f328(f328(f248(x84453),x84454),x84452)))
% 28.33/28.22 [8446]~P125(x84463)+~P107(f328(f328(f240(x84463),f81(x84463)),x84464))+P107(f328(f328(f239(a911),x84461),x84462))+~P107(f328(f328(f239(x84463),f328(f328(f248(x84463),x84464),x84461)),f328(f328(f248(x84463),x84464),x84462)))
% 28.33/28.22 [8447]~P125(x84473)+~P107(f328(f328(f240(x84473),f81(x84473)),x84474))+P107(f328(f328(f239(a911),x84471),x84472))+~P107(f328(f328(f239(x84473),f328(f328(f248(x84473),x84474),x84471)),f328(f328(f248(x84473),x84474),x84472)))
% 28.33/28.22 [8457]~P127(x84571)+P107(f328(f328(f240(x84571),x84572),x84573))+~P107(f328(f328(f240(x84571),f2(x84571)),x84574))+~P107(f328(f328(f240(x84571),f328(f328(f84(x84571),x84574),x84572)),f328(f328(f84(x84571),x84574),x84573)))
% 28.33/28.22 [8458]~P130(x84581)+P107(f328(f328(f240(x84581),x84582),x84583))+~P107(f328(f328(f239(x84581),f2(x84581)),x84584))+~P107(f328(f328(f240(x84581),f328(f328(f84(x84581),x84584),x84582)),f328(f328(f84(x84581),x84584),x84583)))
% 28.33/28.22 [8459]~P132(x84591)+P107(f328(f328(f240(x84591),x84592),x84593))+~P107(f328(f328(f239(x84591),f2(x84591)),x84594))+~P107(f328(f328(f240(x84591),f328(f328(f84(x84591),x84594),x84592)),f328(f328(f84(x84591),x84594),x84593)))
% 28.33/28.22 [8460]~P125(x84601)+~P107(f328(f328(f239(x84601),f2(x84601)),x84603))+P107(f328(f328(f240(x84601),x84602),x84603))+~P107(f328(f328(f240(x84601),f328(f328(f248(x84601),x84602),x84604)),f328(f328(f248(x84601),x84603),x84604)))
% 28.33/28.22 [8461]~P130(x84611)+P107(f328(f328(f240(x84611),x84612),x84613))+~P107(f328(f328(f239(x84611),f2(x84611)),x84614))+~P107(f328(f328(f240(x84611),f328(f328(f84(x84611),x84612),x84614)),f328(f328(f84(x84611),x84613),x84614)))
% 28.33/28.22 [8462]~P132(x84621)+P107(f328(f328(f240(x84621),x84622),x84623))+~P107(f328(f328(f239(x84621),f2(x84621)),x84624))+~P107(f328(f328(f240(x84621),f328(f328(f84(x84621),x84622),x84624)),f328(f328(f84(x84621),x84623),x84624)))
% 28.33/28.22 [8463]~P127(x84631)+P107(f328(f328(f239(x84631),x84632),x84633))+~P107(f328(f328(f240(x84631),f2(x84631)),x84634))+~P107(f328(f328(f239(x84631),f328(f328(f84(x84631),x84634),x84632)),f328(f328(f84(x84631),x84634),x84633)))
% 28.33/28.22 [8464]~P130(x84641)+P107(f328(f328(f239(x84641),x84642),x84643))+~P107(f328(f328(f240(x84641),f2(x84641)),x84644))+~P107(f328(f328(f239(x84641),f328(f328(f84(x84641),x84644),x84642)),f328(f328(f84(x84641),x84644),x84643)))
% 28.33/28.22 [8465]~P130(x84651)+P107(f328(f328(f239(x84651),x84652),x84653))+~P107(f328(f328(f240(x84651),f2(x84651)),x84654))+~P107(f328(f328(f239(x84651),f328(f328(f84(x84651),x84652),x84654)),f328(f328(f84(x84651),x84653),x84654)))
% 28.33/28.22 [8505]P107(f328(f328(f330(x85051),x85052),x85053))+~P107(f328(f328(f239(f918(x85051,a905)),x85053),x85054))+~P107(f328(f328(f240(f918(x85051,a905)),x85053),x85054))+P107(f328(f328(f240(f918(x85051,a905)),x85053),f328(f328(f310(x85051),x85052),x85054)))
% 28.33/28.22 [8885]E(f328(f328(f3(a1),f450(x88851,x88852,x88853,x88854)),f451(x88851,x88852,x88853,x88854)),x88854)+~P107(f328(f328(f240(a1),f2(a1)),x88853))+~P107(f328(f328(f239(a1),x88851),x88854))+P107(f328(f328(f239(a1),x88851),f328(f328(f83(a1),x88854),x88853)))
% 28.33/28.22 [8886]E(f328(f328(f3(a1),f460(x88861,x88862,x88863,x88864)),f461(x88861,x88862,x88863,x88864)),x88864)+~P107(f328(f328(f240(a1),f2(a1)),x88863))+~P107(f328(f328(f240(a1),x88861),x88864))+P107(f328(f328(f240(a1),x88861),f328(f328(f83(a1),x88864),x88863)))
% 28.33/28.22 [9031]~E(f328(f328(f166(x90311),x90313),f624(x90314,x90313,x90311,x90312)),f328(f328(f166(x90311),x90314),f624(x90314,x90313,x90311,x90312)))+E(f328(f328(f177(x90311),x90312),x90313),f328(f328(f177(x90311),x90312),x90314))+~P107(f328(f328(f239(a911),x90312),f328(f191(f912(x90311)),x90313)))+~P107(f328(f328(f239(a911),x90312),f328(f191(f912(x90311)),x90314)))
% 28.33/28.22 [9094]~P107(f328(f328(f240(a1),f2(a1)),x90943))+~P107(f328(f328(f239(a1),x90941),x90944))+P107(f328(f328(f330(a1),f450(x90941,x90942,x90943,x90944)),x90942))+P107(f328(f328(f239(a1),x90941),f328(f328(f83(a1),x90944),x90943)))
% 28.33/28.22 [9095]~P107(f328(f328(f240(a1),f2(a1)),x90953))+~P107(f328(f328(f240(a1),x90951),x90954))+P107(f328(f328(f330(a1),f460(x90951,x90952,x90953,x90954)),x90952))+P107(f328(f328(f240(a1),x90951),f328(f328(f83(a1),x90954),x90953)))
% 28.33/28.22 [9134]~P109(x91341)+~P107(f328(f64(x91341),x91343))+~P107(f328(f328(f330(x91341),x91344),x91343))+P107(f328(f328(f239(x91341),f328(f328(f67(x91341,x91341,f243(x91341)),x91342),x91343)),f328(f328(f243(x91341),x91344),x91342)))
% 28.33/28.22 [9135]~P104(x91351)+~P107(f328(f64(x91351),x91353))+~P107(f328(f328(f330(x91351),x91354),x91353))+P107(f328(f328(f239(x91351),f328(f328(f67(x91351,x91351,f106(x91351)),x91352),x91353)),f328(f328(f106(x91351),x91354),x91352)))
% 28.33/28.22 [9181]E(f328(f328(f177(x91811),x91812),x91813),f328(f328(f177(x91811),x91812),x91814))+P107(f328(f328(f240(a911),f624(x91813,x91814,x91811,x91812)),x91812))+~P107(f328(f328(f239(a911),x91812),f328(f191(f912(x91811)),x91813)))+~P107(f328(f328(f239(a911),x91812),f328(f191(f912(x91811)),x91814)))
% 28.33/28.22 [9186]~P107(f328(f328(f240(a1),f2(a1)),x91863))+~P107(f328(f328(f240(a1),x91861),x91862))+P107(f328(f328(f330(a1),f461(x91861,x91864,x91863,x91862)),f304(a1,f81(a1),x91863)))+P107(f328(f328(f240(a1),x91861),f328(f328(f83(a1),x91862),x91863)))
% 28.33/28.22 [9187]~P107(f328(f328(f240(a1),f2(a1)),x91873))+~P107(f328(f328(f239(a1),x91871),x91872))+P107(f328(f328(f330(a1),f451(x91871,x91874,x91873,x91872)),f304(a1,f81(a1),x91873)))+P107(f328(f328(f239(a1),x91871),f328(f328(f83(a1),x91872),x91873)))
% 28.33/28.22 [9505]~P109(x95051)+~P107(f328(f64(x95051),x95054))+P107(f328(f328(f330(x95051),f769(x95052,x95053,x95054,x95051)),x95054))+P107(f328(f328(f239(x95051),f328(f328(f67(x95051,x95051,f238(x95051)),x95052),x95054)),f328(f328(f238(x95051),x95053),x95052)))
% 28.33/28.22 [9506]~P100(x95061)+~P107(f328(f64(x95061),x95064))+P107(f328(f328(f330(x95061),f775(x95062,x95063,x95064,x95061)),x95064))+P107(f328(f328(f239(x95061),f328(f328(f67(x95061,x95061,f105(x95061)),x95062),x95064)),f328(f328(f105(x95061),x95063),x95062)))
% 28.33/28.22 [9632]~P109(x96321)+~P107(f328(f64(x96321),x96323))+~P107(f328(f328(f239(x96321),f769(x96322,x96324,x96323,x96321)),x96324))+P107(f328(f328(f239(x96321),f328(f328(f67(x96321,x96321,f238(x96321)),x96322),x96323)),f328(f328(f238(x96321),x96324),x96322)))
% 28.33/28.22 [9633]~P100(x96331)+~P107(f328(f64(x96331),x96333))+~P107(f328(f328(f239(x96331),f775(x96332,x96334,x96333,x96331)),x96334))+P107(f328(f328(f239(x96331),f328(f328(f67(x96331,x96331,f105(x96331)),x96332),x96333)),f328(f328(f105(x96331),x96334),x96332)))
% 28.33/28.22 [9635]~P107(f328(f328(f240(a1),f2(a1)),x96353))+~P107(f328(f328(f239(a1),f2(a1)),x96354))+~P107(f328(f328(f240(a1),x96354),x96351))+P107(f328(f328(f240(a1),f328(f328(f83(a1),f328(f328(f84(a1),x96351),f48(a1,x96352,x96353))),x96354)),f328(f328(f84(a1),x96351),x96353)))
% 28.33/28.22 [9906]~P111(x99061)+P107(f328(f328(f240(x99061),f328(x99062,x99063)),f328(x99062,x99064)))+~P107(f328(f328(f240(a911),x99063),x99064))+~P107(f328(f328(f240(x99061),f328(x99062,f570(x99064,x99063,x99062,x99061))),f328(x99062,f328(a116,f570(x99064,x99063,x99062,x99061)))))
% 28.33/28.22 [9907]~P111(x99071)+P107(f328(f328(f240(x99071),f328(x99072,x99073)),f328(x99072,x99074)))+~P107(f328(f328(f240(a911),x99073),x99074))+~P107(f328(f328(f240(x99071),f328(x99072,f557(x99074,x99073,x99072,x99071))),f328(x99072,f328(a116,f557(x99074,x99073,x99072,x99071)))))
% 28.33/28.22 [9908]~P111(x99083)+~P107(f328(f328(f240(x99083),f328(x99084,x99081)),f328(x99084,x99082)))+P107(f328(f328(f240(a911),x99081),x99082))+~P107(f328(f328(f240(x99083),f328(x99084,f570(x99082,x99081,x99084,x99083))),f328(x99084,f328(a116,f570(x99082,x99081,x99084,x99083)))))
% 28.33/28.22 [10013]E(x100131,x100132)+P107(f328(f328(f330(f917(f912(x100133),f912(x100133))),f328(f328(f256(f912(x100133),f912(x100133)),x100132),x100131)),f149(x100133,x100134)))+P107(f328(f328(f330(f917(f912(x100133),f912(x100133))),f328(f328(f256(f912(x100133),f912(x100133)),x100131),x100132)),f149(x100133,x100134)))+~P107(f328(f328(f330(f917(x100133,x100133)),f328(f328(f256(x100133,x100133),f604(x100131,x100132,x100134,x100133)),f605(x100131,x100132,x100134,x100133))),x100134))
% 28.33/28.22 [10014]E(x100141,x100142)+P107(f328(f328(f330(f917(f912(x100143),f912(x100143))),f328(f328(f256(f912(x100143),f912(x100143)),x100142),x100141)),f149(x100143,x100144)))+P107(f328(f328(f330(f917(f912(x100143),f912(x100143))),f328(f328(f256(f912(x100143),f912(x100143)),x100141),x100142)),f149(x100143,x100144)))+~P107(f328(f328(f330(f917(x100143,x100143)),f328(f328(f256(x100143,x100143),f605(x100141,x100142,x100144,x100143)),f604(x100141,x100142,x100144,x100143))),x100144))
% 28.33/28.22 [7582]~P109(x75821)+~P107(f328(f328(f240(x75821),x75823),x75824))+~P107(f328(f328(f240(x75821),x75822),x75824))+P107(f328(f328(f240(x75821),f328(f328(f238(x75821),x75822),x75823)),x75824))
% 28.33/28.22 [7583]~P109(x75831)+~P107(f328(f328(f239(x75831),x75833),x75834))+~P107(f328(f328(f239(x75831),x75832),x75834))+P107(f328(f328(f239(x75831),f328(f328(f238(x75831),x75832),x75833)),x75834))
% 28.33/28.22 [7584]~P109(x75841)+~P107(f328(f328(f239(x75841),x75843),x75844))+~P107(f328(f328(f239(x75841),x75842),x75844))+P107(f328(f328(f239(x75841),f328(f328(f238(x75841),x75842),x75843)),x75844))
% 28.33/28.22 [7585]~P109(x75851)+~P107(f328(f328(f239(x75851),x75853),x75854))+~P107(f328(f328(f239(x75851),x75852),x75854))+P107(f328(f328(f239(x75851),f328(f328(f238(x75851),x75852),x75853)),x75854))
% 28.33/28.22 [7586]~P100(x75861)+~P107(f328(f328(f239(x75861),x75863),x75864))+~P107(f328(f328(f239(x75861),x75862),x75864))+P107(f328(f328(f239(x75861),f328(f328(f105(x75861),x75862),x75863)),x75864))
% 28.33/28.22 [7587]~P100(x75871)+~P107(f328(f328(f239(x75871),x75873),x75874))+~P107(f328(f328(f239(x75871),x75872),x75874))+P107(f328(f328(f239(x75871),f328(f328(f105(x75871),x75872),x75873)),x75874))
% 28.33/28.22 [7588]~P100(x75881)+~P107(f328(f328(f239(x75881),x75883),x75884))+~P107(f328(f328(f239(x75881),x75882),x75884))+P107(f328(f328(f239(x75881),f328(f328(f105(x75881),x75882),x75883)),x75884))
% 28.33/28.22 [7904]~E(x79041,x79043)+E(f141(a911,f328(f303(a911,x79041),x79042)),f328(f328(f153(a911),x79043),x79044))+~E(f141(a911,f328(f303(a911,f328(f328(f83(a911),x79041),f81(a911))),x79042)),x79044)+~P107(f328(f328(f240(a911),x79041),x79042))
% 28.33/28.22 [7914]~P109(x79141)+P107(f328(f328(f240(x79141),x79142),x79143))+P107(f328(f328(f240(x79141),x79144),x79143))+~P107(f328(f328(f240(x79141),f328(f328(f243(x79141),x79144),x79142)),x79143))
% 28.33/28.22 [7915]~P109(x79151)+P107(f328(f328(f239(x79151),x79152),x79153))+P107(f328(f328(f239(x79151),x79154),x79153))+~P107(f328(f328(f239(x79151),f328(f328(f243(x79151),x79154),x79152)),x79153))
% 28.33/28.22 [8204]~P71(x82041)+~P107(f328(f328(f240(x82041),f2(x82041)),x82043))+~P107(f328(f328(f240(x82041),x82042),f328(f328(f291(x82041),x82044),x82043)))+P107(f328(f328(f240(x82041),f328(f328(f84(x82041),x82042),x82043)),x82044))
% 28.33/28.22 [8205]~P72(x82051)+~P107(f328(f328(f240(x82051),f2(x82051)),x82053))+~P107(f328(f328(f240(x82051),x82052),f328(f328(f291(x82051),x82054),x82053)))+P107(f328(f328(f240(x82051),f328(f328(f84(x82051),x82052),x82053)),x82054))
% 28.33/28.22 [8206]~P71(x82061)+~P107(f328(f328(f240(x82061),f2(x82061)),x82063))+~P107(f328(f328(f240(x82061),x82062),f328(f328(f84(x82061),x82064),x82063)))+P107(f328(f328(f240(x82061),f328(f328(f291(x82061),x82062),x82063)),x82064))
% 28.33/28.22 [8207]~P72(x82071)+~P107(f328(f328(f240(x82071),f2(x82071)),x82073))+~P107(f328(f328(f240(x82071),x82072),f328(f328(f84(x82071),x82074),x82073)))+P107(f328(f328(f240(x82071),f328(f328(f291(x82071),x82072),x82073)),x82074))
% 28.33/28.22 [8208]~P72(x82081)+~P107(f328(f328(f240(x82081),f2(x82081)),x82083))+~P107(f328(f328(f240(x82081),x82082),f328(f328(f84(x82081),x82084),x82083)))+P107(f328(f328(f240(x82081),f328(f328(f291(x82081),x82082),x82083)),x82084))
% 28.33/28.22 [8209]~P71(x82091)+~P107(f328(f328(f240(x82091),f2(x82091)),x82093))+~P107(f328(f328(f239(x82091),x82092),f328(f328(f291(x82091),x82094),x82093)))+P107(f328(f328(f239(x82091),f328(f328(f84(x82091),x82092),x82093)),x82094))
% 28.33/28.22 [8210]~P72(x82101)+~P107(f328(f328(f240(x82101),f2(x82101)),x82103))+~P107(f328(f328(f239(x82101),x82102),f328(f328(f291(x82101),x82104),x82103)))+P107(f328(f328(f239(x82101),f328(f328(f84(x82101),x82102),x82103)),x82104))
% 28.33/28.22 [8211]~P71(x82111)+~P107(f328(f328(f240(x82111),f2(x82111)),x82113))+~P107(f328(f328(f239(x82111),x82112),f328(f328(f84(x82111),x82114),x82113)))+P107(f328(f328(f239(x82111),f328(f328(f291(x82111),x82112),x82113)),x82114))
% 28.33/28.22 [8212]~P72(x82121)+~P107(f328(f328(f240(x82121),f2(x82121)),x82123))+~P107(f328(f328(f239(x82121),x82122),f328(f328(f84(x82121),x82124),x82123)))+P107(f328(f328(f239(x82121),f328(f328(f291(x82121),x82122),x82123)),x82124))
% 28.33/28.22 [8213]~P72(x82131)+~P107(f328(f328(f240(x82131),f2(x82131)),x82133))+~P107(f328(f328(f239(x82131),x82132),f328(f328(f84(x82131),x82134),x82133)))+P107(f328(f328(f239(x82131),f328(f328(f291(x82131),x82132),x82133)),x82134))
% 28.33/28.22 [8340]~P71(x83401)+~P107(f328(f328(f240(x83401),f2(x83401)),x83404))+P107(f328(f328(f240(x83401),x83402),f328(f328(f84(x83401),x83403),x83404)))+~P107(f328(f328(f240(x83401),f328(f328(f291(x83401),x83402),x83404)),x83403))
% 28.33/28.22 [8341]~P71(x83411)+~P107(f328(f328(f240(x83411),f2(x83411)),x83414))+P107(f328(f328(f240(x83411),x83412),f328(f328(f291(x83411),x83413),x83414)))+~P107(f328(f328(f240(x83411),f328(f328(f84(x83411),x83412),x83414)),x83413))
% 28.33/28.22 [8342]~P72(x83421)+~P107(f328(f328(f240(x83421),f2(x83421)),x83424))+P107(f328(f328(f240(x83421),x83422),f328(f328(f291(x83421),x83423),x83424)))+~P107(f328(f328(f240(x83421),f328(f328(f84(x83421),x83422),x83424)),x83423))
% 28.33/28.22 [8343]~P72(x83431)+~P107(f328(f328(f240(x83431),f2(x83431)),x83434))+P107(f328(f328(f240(x83431),x83432),f328(f328(f84(x83431),x83433),x83434)))+~P107(f328(f328(f240(x83431),f328(f328(f291(x83431),x83432),x83434)),x83433))
% 28.33/28.22 [8344]~P72(x83441)+~P107(f328(f328(f240(x83441),f2(x83441)),x83444))+P107(f328(f328(f240(x83441),x83442),f328(f328(f291(x83441),x83443),x83444)))+~P107(f328(f328(f240(x83441),f328(f328(f84(x83441),x83442),x83444)),x83443))
% 28.33/28.22 [8345]~P71(x83451)+~P107(f328(f328(f240(x83451),f2(x83451)),x83454))+P107(f328(f328(f239(x83451),x83452),f328(f328(f84(x83451),x83453),x83454)))+~P107(f328(f328(f239(x83451),f328(f328(f291(x83451),x83452),x83454)),x83453))
% 28.33/28.22 [8346]~P71(x83461)+~P107(f328(f328(f240(x83461),f2(x83461)),x83464))+P107(f328(f328(f239(x83461),x83462),f328(f328(f291(x83461),x83463),x83464)))+~P107(f328(f328(f239(x83461),f328(f328(f84(x83461),x83462),x83464)),x83463))
% 28.33/28.22 [8347]~P72(x83471)+~P107(f328(f328(f240(x83471),f2(x83471)),x83474))+P107(f328(f328(f239(x83471),x83472),f328(f328(f291(x83471),x83473),x83474)))+~P107(f328(f328(f239(x83471),f328(f328(f84(x83471),x83472),x83474)),x83473))
% 28.33/28.22 [8348]~P72(x83481)+~P107(f328(f328(f240(x83481),f2(x83481)),x83484))+P107(f328(f328(f239(x83481),x83482),f328(f328(f84(x83481),x83483),x83484)))+~P107(f328(f328(f239(x83481),f328(f328(f291(x83481),x83482),x83484)),x83483))
% 28.33/28.22 [8349]~P72(x83491)+~P107(f328(f328(f240(x83491),f2(x83491)),x83494))+P107(f328(f328(f239(x83491),x83492),f328(f328(f291(x83491),x83493),x83494)))+~P107(f328(f328(f239(x83491),f328(f328(f84(x83491),x83492),x83494)),x83493))
% 28.33/28.22 [8509]~P72(x85091)+~P107(f328(f328(f240(x85091),x85093),f2(x85091)))+~P107(f328(f328(f240(x85091),f328(f328(f291(x85091),x85094),x85093)),x85092))+P107(f328(f328(f240(x85091),f328(f328(f84(x85091),x85092),x85093)),x85094))
% 28.33/28.22 [8510]~P72(x85101)+~P107(f328(f328(f240(x85101),x85103),f2(x85101)))+~P107(f328(f328(f240(x85101),f328(f328(f84(x85101),x85104),x85103)),x85102))+P107(f328(f328(f240(x85101),f328(f328(f291(x85101),x85102),x85103)),x85104))
% 28.33/28.22 [8511]~P72(x85111)+~P107(f328(f328(f240(x85111),x85113),f2(x85111)))+~P107(f328(f328(f239(x85111),f328(f328(f291(x85111),x85114),x85113)),x85112))+P107(f328(f328(f239(x85111),f328(f328(f84(x85111),x85112),x85113)),x85114))
% 28.33/28.22 [8512]~P72(x85121)+~P107(f328(f328(f240(x85121),x85123),f2(x85121)))+~P107(f328(f328(f239(x85121),f328(f328(f84(x85121),x85124),x85123)),x85122))+P107(f328(f328(f239(x85121),f328(f328(f291(x85121),x85122),x85123)),x85124))
% 28.33/28.22 [8524]~P107(f328(x85241,x85244))+~P107(f328(f328(f240(a911),x85242),f328(f328(f84(a911),x85243),f328(a116,x85244))))+P107(f328(x85241,f328(f328(f39(a911),x85242),x85243)))+~P107(f328(f328(f239(a911),f328(f328(f84(a911),x85243),x85244)),x85242))
% 28.33/28.22 [8740]~P109(x87401)+~P107(f328(f64(x87401),x87404))+~P107(f328(f328(f330(x87401),x87402),x87404))+P107(f328(f328(f239(x87401),f328(f328(f238(x87401),x87402),x87403)),f328(f328(f67(x87401,x87401,f238(x87401)),x87403),x87404)))
% 28.33/28.22 [8741]~P100(x87411)+~P107(f328(f64(x87411),x87414))+~P107(f328(f328(f330(x87411),x87412),x87414))+P107(f328(f328(f239(x87411),f328(f328(f105(x87411),x87412),x87413)),f328(f328(f67(x87411,x87411,f105(x87411)),x87413),x87414)))
% 28.33/28.22 [8887]~P107(f328(f64(x88871),x88872))+E(f328(f38(x88871),f328(f328(f3(f918(x88871,a905)),x88872),f328(f328(f310(x88871),x88873),x88874))),f328(f328(f3(a911),f328(f38(x88871),f328(f328(f3(f918(x88871,a905)),x88872),x88874))),f81(a911)))+P107(f328(f328(f330(x88871),x88873),x88874))+~P107(f328(f328(f330(x88871),x88873),x88872))
% 28.33/28.22 [8960]E(f328(f328(f83(a1),f452(x89601,x89602,x89603,x89604)),f453(x89601,x89602,x89603,x89604)),x89604)+~P107(f328(f328(f240(a1),f2(a1)),x89603))+~P107(f328(f328(f239(a1),x89604),x89601))+P107(f328(f328(f239(a1),f328(f328(f3(a1),x89604),x89603)),x89601))
% 28.33/28.22 [8961]E(f328(f328(f83(a1),f462(x89611,x89612,x89613,x89614)),f463(x89611,x89612,x89613,x89614)),x89614)+~P107(f328(f328(f240(a1),f2(a1)),x89613))+~P107(f328(f328(f240(a1),x89614),x89611))+P107(f328(f328(f240(a1),f328(f328(f3(a1),x89614),x89613)),x89611))
% 28.33/28.22 [9166]~P107(f328(f328(f240(a1),f2(a1)),x91663))+~P107(f328(f328(f239(a1),x91664),x91661))+P107(f328(f328(f330(a1),f452(x91661,x91662,x91663,x91664)),x91662))+P107(f328(f328(f239(a1),f328(f328(f3(a1),x91664),x91663)),x91661))
% 28.33/28.22 [9167]~P107(f328(f328(f240(a1),f2(a1)),x91673))+~P107(f328(f328(f240(a1),x91674),x91671))+P107(f328(f328(f330(a1),f462(x91671,x91672,x91673,x91674)),x91672))+P107(f328(f328(f240(a1),f328(f328(f3(a1),x91674),x91673)),x91671))
% 28.33/28.22 [9252]~P107(f328(f328(f240(a1),f2(a1)),x92522))+~P107(f328(f328(f240(a1),x92521),x92523))+P107(f328(f328(f330(a1),f463(x92523,x92524,x92522,x92521)),f304(a1,f81(a1),x92522)))+P107(f328(f328(f240(a1),f328(f328(f3(a1),x92521),x92522)),x92523))
% 28.33/28.22 [9253]~P107(f328(f328(f240(a1),f2(a1)),x92532))+~P107(f328(f328(f239(a1),x92531),x92533))+P107(f328(f328(f330(a1),f453(x92533,x92534,x92532,x92531)),f304(a1,f81(a1),x92532)))+P107(f328(f328(f239(a1),f328(f328(f3(a1),x92531),x92532)),x92533))
% 28.33/28.22 [9278]~P107(f328(f328(f240(a1),f2(a1)),x92783))+~P107(f328(f328(f239(a1),f2(a1)),x92784))+~P107(f328(f328(f240(a1),x92784),x92781))+P107(f328(f328(f239(a1),f2(a1)),f328(f328(f83(a1),f328(f328(f84(a1),x92781),f48(a1,x92782,x92783))),x92784)))
% 28.33/28.22 [9306]E(x93061,x93062)+~P45(x93063,x93064)+~P107(f328(f328(f330(f917(x93063,x93063)),f328(f328(f256(x93063,x93063),x93062),x93061)),x93064))+~P107(f328(f328(f330(f917(x93063,x93063)),f328(f328(f256(x93063,x93063),x93061),x93062)),x93064))
% 28.33/28.22 [9307]E(x93071,x93072)+~P45(x93073,x93074)+~P107(f328(f328(f330(f917(x93073,x93073)),f328(f328(f256(x93073,x93073),x93072),x93071)),x93074))+~P107(f328(f328(f330(f917(x93073,x93073)),f328(f328(f256(x93073,x93073),x93071),x93072)),x93074))
% 28.33/28.22 [9340]~P109(x93401)+~P107(f328(f64(x93401),x93404))+~P107(f328(f328(f239(x93401),x93402),f773(x93403,x93402,x93404,x93401)))+P107(f328(f328(f239(x93401),f328(f328(f243(x93401),x93402),x93403)),f328(f328(f67(x93401,x93401,f243(x93401)),x93403),x93404)))
% 28.33/28.22 [9341]~P104(x93411)+~P107(f328(f64(x93411),x93414))+~P107(f328(f328(f239(x93411),x93412),f774(x93413,x93412,x93414,x93411)))+P107(f328(f328(f239(x93411),f328(f328(f106(x93411),x93412),x93413)),f328(f328(f67(x93411,x93411,f106(x93411)),x93413),x93414)))
% 28.33/28.22 [9355]~P107(f328(f328(f239(a1),x93554),f2(a1)))+~P107(f328(f328(f240(a1),f2(a1)),x93552))+~P107(f328(f328(f240(a1),x93551),x93554))+P107(f328(f328(f240(a1),f328(f328(f84(a1),x93551),x93552)),f328(f328(f83(a1),f328(f328(f84(a1),x93551),f48(a1,x93553,x93552))),x93554)))
% 28.33/28.22 [9377]P107(f328(f64(x93771),x93772))+~P107(f328(f64(x93771),x93773))+~P107(f328(f328(f330(f918(x93771,a905)),x93772),f328(f328(f63(x93771),x93773),x93774)))+~P107(f328(f328(f239(f918(f917(x93771,x93771),a905)),x93774),f328(f328(f258(x93771,x93771),x93773),f328(f18(f918(x93771,a905),x93771),x93773))))
% 28.33/28.22 [9400]~P109(x94001)+~P107(f328(f64(x94001),x94004))+P107(f328(f328(f330(x94001),f773(x94002,x94003,x94004,x94001)),x94004))+P107(f328(f328(f239(x94001),f328(f328(f243(x94001),x94003),x94002)),f328(f328(f67(x94001,x94001,f243(x94001)),x94002),x94004)))
% 28.33/28.22 [9401]~P104(x94011)+~P107(f328(f64(x94011),x94014))+P107(f328(f328(f330(x94011),f774(x94012,x94013,x94014,x94011)),x94014))+P107(f328(f328(f239(x94011),f328(f328(f106(x94011),x94013),x94012)),f328(f328(f67(x94011,x94011,f106(x94011)),x94012),x94014)))
% 28.33/28.22 [9794]~P107(f328(f64(x97942),x97944))+~P107(f328(f64(x97941),x97943))+~P107(f328(f328(f239(a911),f328(f38(x97942),x97944)),f328(f38(x97941),x97943)))+P107(f328(f328(f239(f918(x97941,a905)),f328(f311(x97942,x97941,f469(x97943,x97941,x97944,x97942)),x97944)),x97943))
% 28.33/28.22 [9447]~P107(f328(f328(f330(x94471),x94472),x94474))+P107(f328(f328(f330(x94471),x94472),x94473))+~P107(f328(f328(f240(f918(x94471,a905)),x94474),f328(f328(f310(x94471),x94472),x94473)))+P107(f328(f328(f240(f918(x94471,a905)),f328(f328(f3(f918(x94471,a905)),x94474),f328(f328(f310(x94471),x94472),f190(f918(x94471,a905))))),x94473))
% 28.33/28.22 [9612]~P107(f328(f328(f330(x96121),x96122),x96124))+P107(f328(f328(f330(x96121),x96122),x96123))+P107(f328(f328(f240(f918(x96121,a905)),x96124),f328(f328(f310(x96121),x96122),x96123)))+~P107(f328(f328(f240(f918(x96121,a905)),f328(f328(f3(f918(x96121,a905)),x96124),f328(f328(f310(x96121),x96122),f190(f918(x96121,a905))))),x96123))
% 28.33/28.22 [9638]P107(f328(f328(f330(x96381),x96382),x96383))+~P107(f328(f328(f239(f918(x96381,a905)),x96384),x96383))+P107(f328(f328(f240(f918(x96381,a905)),x96384),f328(f328(f310(x96381),x96382),x96383)))+~P107(f328(f328(f240(f918(x96381,a905)),f328(f328(f3(f918(x96381,a905)),x96384),f328(f328(f310(x96381),x96382),f190(f918(x96381,a905))))),x96383))
% 28.33/28.22 [9643]~P107(f328(f328(f330(x96431),x96433),x96432))+~P107(f328(f328(f240(f918(x96431,a905)),x96432),x96434))+P107(f328(f328(f240(f918(x96431,a905)),x96432),f328(f328(f310(x96431),x96433),x96434)))+~P107(f328(f328(f240(f918(x96431,a905)),f328(f328(f3(f918(x96431,a905)),x96432),f328(f328(f310(x96431),x96433),f190(f918(x96431,a905))))),x96434))
% 28.33/28.22 [9657]~P107(f328(f328(f239(f918(x96571,a905)),x96572),x96574))+~P107(f328(f328(f240(f918(x96571,a905)),x96572),x96574))+P107(f328(f328(f240(f918(x96571,a905)),x96572),f328(f328(f310(x96571),x96573),x96574)))+~P107(f328(f328(f240(f918(x96571,a905)),f328(f328(f3(f918(x96571,a905)),x96572),f328(f328(f310(x96571),x96573),f190(f918(x96571,a905))))),x96574))
% 28.33/28.22 [9700]~P111(x97002)+~P68(x97001)+~P107(f328(f328(f239(f918(x97001,x97002)),x97003),x97004))+P107(f328(f60(x97001),f328(f328(f20(x97001,x97002,a905),f328(f328(f10(x97002,f918(x97002,a905),x97001),f239(x97002)),x97003)),x97004)))
% 28.33/28.22 [9841]~P111(x98412)+~P68(x98411)+P107(f328(f328(f239(f918(x98411,x98412)),x98413),x98414))+~P107(f328(f60(x98411),f328(f328(f20(x98411,x98412,a905),f328(f328(f10(x98412,f918(x98412,a905),x98411),f239(x98412)),x98413)),x98414)))
% 28.33/28.22 [10004]E(f328(f328(f166(x100041),f328(f328(f166(f912(x100041)),f181(x100041,x100042)),x100043)),x100044),f328(f328(f166(x100041),f328(f328(f166(f912(x100041)),x100042),x100044)),x100043))+~P107(f328(f328(f240(a911),x100043),f328(f191(f912(f912(x100041))),f181(x100041,x100042))))+~P18(a911,f328(f170(a911),f328(f328(f156(f912(x100041),a911),f191(f912(x100041))),x100042)))+~P107(f328(f328(f240(a911),x100044),f328(f191(f912(f912(x100041))),f328(f138(f912(x100041),f328(f328(f10(a911,a905,f912(x100041)),f328(f240(a911),x100043)),f191(f912(x100041)))),x100042))))
% 28.33/28.22 [10025]~P107(f328(f328(f330(f917(a911,a911)),x100254),x100251))+~P107(f328(f328(f330(f917(f917(a911,a911),f917(a911,a911))),f328(f328(f256(f917(a911,a911),f917(a911,a911)),x100254),x100252)),a36))+~P107(f328(f328(f330(f917(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905))),f328(f328(f256(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905)),x100251),x100253)),a72))+P107(f328(f328(f330(f917(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905))),f328(f328(f256(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905)),x100251),f328(f328(f310(f917(a911,a911)),x100252),x100253))),a72))
% 28.33/28.22 [10026]~P107(f328(f328(f330(f917(a911,a911)),x100264),x100261))+~P107(f328(f328(f330(f917(f917(a911,a911),f917(a911,a911))),f328(f328(f256(f917(a911,a911),f917(a911,a911)),x100264),x100262)),a74))+~P107(f328(f328(f330(f917(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905))),f328(f328(f256(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905)),x100261),x100263)),a75))+P107(f328(f328(f330(f917(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905))),f328(f328(f256(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905)),x100261),f328(f328(f310(f917(a911,a911)),x100262),x100263))),a75))
% 28.33/28.22 [9919]~P111(x99192)+~P68(x99191)+~P107(f328(f328(f240(f918(x99191,x99192)),x99193),x99194))+P107(f328(f59(x99191),f328(f328(f10(a905,a905,x99191),a323),f328(f328(f20(x99191,x99192,a905),f328(f328(f10(x99192,f918(x99192,a905),x99191),a325),x99193)),x99194))))
% 28.33/28.22 [10038]~P107(f328(f328(f330(f917(a911,a911)),x100384),x100383))+~P107(f328(f328(f330(f917(f917(a911,a911),f917(a911,a911))),f328(f328(f256(f917(a911,a911),f917(a911,a911)),x100381),x100384)),a36))+~P107(f328(f328(f330(f917(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905))),f328(f328(f256(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905)),x100382),x100383)),a37))+P107(f328(f328(f330(f917(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905))),f328(f328(f256(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905)),f328(f328(f310(f917(a911,a911)),x100381),x100382)),x100383)),a37))
% 28.33/28.22 [10039]~P107(f328(f328(f330(f917(a911,a911)),x100394),x100393))+~P107(f328(f328(f330(f917(f917(a911,a911),f917(a911,a911))),f328(f328(f256(f917(a911,a911),f917(a911,a911)),x100391),x100394)),a74))+~P107(f328(f328(f330(f917(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905))),f328(f328(f256(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905)),x100392),x100393)),a73))+P107(f328(f328(f330(f917(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905))),f328(f328(f256(f918(f917(a911,a911),a905),f918(f917(a911,a911),a905)),f328(f328(f310(f917(a911,a911)),x100391),x100392)),x100393)),a73))
% 28.33/28.22 [6172]~P12(x61724,x61721)+~P107(f328(f328(x61721,x61722),x61725))+P107(f328(f328(x61721,x61722),x61723))+~P107(f328(f328(x61721,x61725),x61723))
% 28.33/28.22 [6173]~P56(x61734,x61731)+~P107(f328(f328(x61731,x61732),x61735))+P107(f328(f328(x61731,x61732),x61733))+~P107(f328(f328(x61731,x61735),x61733))
% 28.33/28.22 [6174]~P20(x61744,x61741)+~P107(f328(f328(x61741,x61742),x61745))+P107(f328(f328(x61741,x61742),x61743))+~P107(f328(f328(x61741,x61745),x61743))
% 28.33/28.22 [8854]~P31(x88541,x88543,x88545,x88542,x88544)+E(f328(f38(x88541),x88542),f328(f38(x88543),x88544))+~P107(f328(f64(x88543),x88544))+~P107(f328(f64(x88541),x88542))
% 28.33/28.22 [9689]~P44(x96891,x96894)+P107(f328(f328(f330(f917(f912(x96891),f912(x96891))),f328(f328(f256(f912(x96891),f912(x96891)),x96892),x96893)),f149(x96891,x96894)))+~P107(f328(f328(f330(f917(f912(x96891),f912(x96891))),f328(f328(f256(f912(x96891),f912(x96891)),x96892),x96895)),f149(x96891,x96894)))+~P107(f328(f328(f330(f917(f912(x96891),f912(x96891))),f328(f328(f256(f912(x96891),f912(x96891)),x96895),x96893)),f149(x96891,x96894)))
% 28.33/28.22 [5417]~P7(x54175)+E(x54171,x54172)+~E(x54173,x54174)+~E(f328(f328(f3(x54175),x54173),x54174),f328(f328(f3(x54175),x54171),x54172))
% 28.33/28.22 [5418]~P7(x54185)+E(x54181,x54182)+~E(x54183,x54184)+~E(f328(f328(f3(x54185),x54183),x54184),f328(f328(f3(x54185),x54181),x54182))
% 28.33/28.22 [6287]~P22(x62875,x62871,x62873)+E(f328(f328(x62871,x62872),f328(x62873,x62874)),f328(x62873,x62874))+~P107(f328(f64(x62875),x62874))+~P107(f328(f328(f330(x62875),x62872),x62874))
% 28.33/28.22 [6471]~P82(x64711)+~E(f328(f328(f3(x64711),x64714),x64715),f328(f328(f3(x64711),x64712),x64713))+~P107(f328(f328(f240(x64711),x64714),x64715))+P107(f328(f328(f240(x64711),x64712),x64713))
% 28.33/28.22 [6472]~P82(x64721)+~E(f328(f328(f3(x64721),x64724),x64725),f328(f328(f3(x64721),x64722),x64723))+~P107(f328(f328(f240(x64721),x64724),x64725))+P107(f328(f328(f240(x64721),x64722),x64723))
% 28.33/28.22 [6473]~P82(x64731)+~E(f328(f328(f3(x64731),x64734),x64735),f328(f328(f3(x64731),x64732),x64733))+~P107(f328(f328(f239(x64731),x64734),x64735))+P107(f328(f328(f239(x64731),x64732),x64733))
% 28.33/28.22 [6474]~P82(x64741)+~E(f328(f328(f3(x64741),x64744),x64745),f328(f328(f3(x64741),x64742),x64743))+~P107(f328(f328(f239(x64741),x64744),x64745))+P107(f328(f328(f239(x64741),x64742),x64743))
% 28.33/28.22 [7440]~E(x74402,f328(f328(f153(x74401),x74404),x74405))+P107(f328(f328(f330(f912(x74401)),x74402),f163(x74401,x74403)))+~P107(f328(f328(f330(f912(x74401)),x74405),f163(x74401,x74403)))+~P107(f328(f328(f330(x74401),x74404),x74403))
% 28.33/28.22 [7853]~E(f328(f191(f912(x78531)),x78533),f328(f191(f912(x78532)),x78534))+~E(f328(f328(f156(f917(x78531,x78532),x78532),f260(x78531,x78532)),x78535),x78534)+~E(f328(f328(f156(f917(x78531,x78532),x78531),f255(x78531,x78532)),x78535),x78533)+E(f328(f328(f183(x78531,x78532),x78533),x78534),x78535)
% 28.33/28.22 [8200]~P111(x82001)+P107(f328(f328(f240(f918(x82001,a905)),f304(x82001,x82002,x82003)),f304(x82001,x82004,x82005)))+~P107(f328(f328(f239(x82001),x82004),x82005))+P107(f328(f328(f239(x82001),x82002),x82003))
% 28.33/28.22 [8297]~P111(x82971)+P107(f328(f328(f239(f918(x82971,a905)),f304(x82971,x82972,x82973)),f304(x82971,x82974,x82975)))+~P107(f328(f328(f239(x82971),x82973),x82975))+~P107(f328(f328(f239(x82971),x82974),x82972))
% 28.33/28.22 [8417]~P109(x84171)+P107(f328(f328(f239(x84171),x84172),x84173))+P107(f328(f328(f239(x84171),x84174),x84173))+~P107(f328(f328(f239(f918(x84171,a905)),f328(f303(x84171,x84173),x84172)),f328(f303(x84171,x84174),x84175)))
% 28.33/28.22 [8418]~P109(x84181)+P107(f328(f328(f239(x84181),x84182),x84183))+P107(f328(f328(f239(x84181),x84182),x84184))+~P107(f328(f328(f239(f918(x84181,a905)),f328(f303(x84181,x84183),x84182)),f328(f303(x84181,x84185),x84184)))
% 28.33/28.22 [8660]~P111(x86601)+~P107(f328(f328(f240(f918(x86601,a905)),f304(x86601,x86604,x86602)),f304(x86601,x86605,x86603)))+P107(f328(f328(f239(x86601),x86602),x86603))+~P107(f328(f328(f239(x86601),x86604),x86602))
% 28.33/28.22 [8661]~P111(x86611)+~P107(f328(f328(f239(f918(x86611,a905)),f304(x86611,x86614,x86612)),f304(x86611,x86615,x86613)))+P107(f328(f328(f239(x86611),x86612),x86613))+~P107(f328(f328(f239(x86611),x86614),x86612))
% 28.33/28.22 [8662]~P111(x86621)+~P107(f328(f328(f240(f918(x86621,a905)),f304(x86621,x86623,x86624)),f304(x86621,x86622,x86625)))+P107(f328(f328(f239(x86621),x86622),x86623))+~P107(f328(f328(f239(x86621),x86623),x86624))
% 28.33/28.22 [8663]~P111(x86631)+~P107(f328(f328(f239(f918(x86631,a905)),f304(x86631,x86633,x86634)),f304(x86631,x86632,x86635)))+P107(f328(f328(f239(x86631),x86632),x86633))+~P107(f328(f328(f239(x86631),x86633),x86634))
% 28.33/28.22 [6171]~P22(x61712,x61715,x61713)+E(x61711,f190(f918(x61712,a905)))+~P107(f328(f64(x61712),x61711))+E(f328(x61713,f328(f328(f310(x61712),x61714),x61711)),f328(f328(x61715,x61714),f328(x61713,x61711)))
% 28.33/28.22 [6939]~E(x69391,x69392)+~E(f328(f328(f106(f918(x69393,a905)),x69394),x69395),f190(f918(x69393,a905)))+~P107(f328(f328(f330(x69393),x69392),x69395))+~P107(f328(f328(f330(x69393),x69391),x69394))
% 28.33/28.22 [7017]~P23(x70172,x70175,x70171)+~P107(f328(f64(x70172),x70174))+E(f328(x70171,f328(f328(f310(x70172),x70173),x70174)),f328(f328(f67(x70172,x70172,x70175),x70173),x70174))+P107(f328(f328(f330(x70172),x70173),x70174))
% 28.33/28.22 [7084]~P78(x70842)+~P107(f328(f64(x70841),x70845))+E(f328(f328(f11(x70841,x70842),x70843),f328(f328(f310(x70841),x70844),x70845)),f328(f328(f84(x70842),f328(x70843,x70844)),f328(f328(f11(x70841,x70842),x70843),x70845)))+P107(f328(f328(f330(x70841),x70844),x70845))
% 28.33/28.22 [7085]~P78(x70852)+~P107(f328(f64(x70851),x70855))+E(f328(f328(f11(x70851,x70852),x70853),f328(f328(f310(x70851),x70854),x70855)),f328(f328(f84(x70852),f328(x70853,x70854)),f328(f328(f11(x70851,x70852),x70853),x70855)))+P107(f328(f328(f330(x70851),x70854),x70855))
% 28.33/28.22 [7086]~P76(x70862)+~P107(f328(f64(x70861),x70865))+E(f328(f328(f8(x70861,x70862),x70863),f328(f328(f310(x70861),x70864),x70865)),f328(f328(f83(x70862),f328(x70863,x70864)),f328(f328(f8(x70861,x70862),x70863),x70865)))+P107(f328(f328(f330(x70861),x70864),x70865))
% 28.33/28.22 [7087]~P76(x70872)+~P107(f328(f64(x70871),x70875))+E(f328(f328(f8(x70871,x70872),x70873),f328(f328(f310(x70871),x70874),x70875)),f328(f328(f83(x70872),f328(x70873,x70874)),f328(f328(f8(x70871,x70872),x70873),x70875)))+P107(f328(f328(f330(x70871),x70874),x70875))
% 28.33/28.22 [7598]~P23(x75982,x75985,x75981)+~P107(f328(f64(x75982),x75984))+E(f328(x75981,f328(f328(f310(x75982),x75983),x75984)),x75983)+~E(f328(f328(f3(f918(x75982,a905)),x75984),f328(f328(f310(x75982),x75983),f190(f918(x75982,a905)))),f190(f918(x75982,a905)))
% 28.33/28.22 [7907]~P107(f328(x79071,x79073))+~P107(f328(f328(f196(x79072),x79073),x79075))+~P107(f328(f328(f196(f33(x79071,x79072)),x79075),x79074))+P107(f328(f328(f196(f33(x79071,x79072)),x79073),x79074))
% 28.33/28.22 [7908]~P107(f328(x79081,x79083))+~P107(f328(f328(f196(x79082),x79083),x79085))+~P107(f328(f328(f196(f33(x79081,x79082)),x79085),x79084))+P107(f328(f328(f196(f33(x79081,x79082)),x79083),x79084))
% 28.33/28.22 [7963]~P87(x79631)+~P107(f328(f328(f240(x79631),x79633),x79635))+~P107(f328(f328(f240(x79631),x79632),x79634))+P107(f328(f328(f240(x79631),f328(f328(f83(x79631),x79632),x79633)),f328(f328(f83(x79631),x79634),x79635)))
% 28.33/28.22 [7964]~P87(x79641)+~P107(f328(f328(f239(x79641),x79642),x79644))+~P107(f328(f328(f240(x79641),x79643),x79645))+P107(f328(f328(f240(x79641),f328(f328(f83(x79641),x79642),x79643)),f328(f328(f83(x79641),x79644),x79645)))
% 28.33/28.22 [7965]~P87(x79651)+~P107(f328(f328(f239(x79651),x79653),x79655))+~P107(f328(f328(f240(x79651),x79652),x79654))+P107(f328(f328(f240(x79651),f328(f328(f83(x79651),x79652),x79653)),f328(f328(f83(x79651),x79654),x79655)))
% 28.33/28.22 [7966]~P85(x79661)+~P107(f328(f328(f239(x79661),x79663),x79665))+~P107(f328(f328(f239(x79661),x79662),x79664))+P107(f328(f328(f239(x79661),f328(f328(f83(x79661),x79662),x79663)),f328(f328(f83(x79661),x79664),x79665)))
% 28.33/28.22 [7967]~P109(x79671)+~P107(f328(f328(f239(x79671),x79673),x79675))+~P107(f328(f328(f239(x79671),x79672),x79674))+P107(f328(f328(f239(x79671),f328(f328(f243(x79671),x79672),x79673)),f328(f328(f243(x79671),x79674),x79675)))
% 28.33/28.22 [7968]~P109(x79681)+~P107(f328(f328(f239(x79681),x79683),x79685))+~P107(f328(f328(f239(x79681),x79682),x79684))+P107(f328(f328(f239(x79681),f328(f328(f238(x79681),x79682),x79683)),f328(f328(f238(x79681),x79684),x79685)))
% 28.33/28.22 [7969]~P100(x79691)+~P107(f328(f328(f239(x79691),x79693),x79695))+~P107(f328(f328(f239(x79691),x79692),x79694))+P107(f328(f328(f239(x79691),f328(f328(f105(x79691),x79692),x79693)),f328(f328(f105(x79691),x79694),x79695)))
% 28.33/28.22 [7970]~P104(x79701)+~P107(f328(f328(f239(x79701),x79703),x79705))+~P107(f328(f328(f239(x79701),x79702),x79704))+P107(f328(f328(f239(x79701),f328(f328(f106(x79701),x79702),x79703)),f328(f328(f106(x79701),x79704),x79705)))
% 28.33/28.22 [8105]~P145(x81055)+E(x81051,x81052)+E(x81053,x81054)+~E(f328(f328(f83(x81055),f328(f328(f84(x81055),x81053),x81051)),f328(f328(f84(x81055),x81054),x81052)),f328(f328(f83(x81055),f328(f328(f84(x81055),x81053),x81052)),f328(f328(f84(x81055),x81054),x81051)))
% 28.33/28.22 [8106]~P145(x81065)+E(x81061,x81062)+E(x81063,x81064)+~E(f328(f328(f83(x81065),f328(f328(f84(x81065),x81063),x81061)),f328(f328(f84(x81065),x81064),x81062)),f328(f328(f83(x81065),f328(f328(f84(x81065),x81063),x81062)),f328(f328(f84(x81065),x81064),x81061)))
% 28.33/28.22 [8255]P33(x82551,x82552,x82553)+~P34(x82551,x82554,x82555)+~P33(x82551,x82552,f596(x82555,x82554,x82551,x82552))+~P107(f328(f328(f330(f910(x82551)),x82553),x82555))
% 28.33/28.22 [8318]~P109(x83184)+~P107(f328(f139(x83181),x83183))+P107(f328(f328(f330(x83181),x83182),f328(f174(x83181),x83183)))+P107(f328(f139(x83181),f328(f328(f150(x83181,x83184,x83185),x83182),x83183)))
% 28.33/28.22 [8466]~P76(x84661)+E(f328(f328(f83(x84661),f328(f328(f8(a911,x84661),x84662),f328(f303(a911,x84663),x84664))),f328(f328(f8(a911,x84661),x84662),f328(f303(a911,x84664),x84665))),f328(f328(f8(a911,x84661),x84662),f328(f303(a911,x84663),x84665)))+~P107(f328(f328(f239(a911),x84664),x84665))+~P107(f328(f328(f239(a911),x84663),x84664))
% 28.33/28.22 [8467]~P7(x84671)+E(f328(f328(f3(x84671),f328(f328(f8(a911,x84671),x84672),f328(f303(a911,x84673),x84674))),f328(f328(f8(a911,x84671),x84672),f328(f303(a911,x84673),x84675))),f328(f328(f8(a911,x84671),x84672),f328(f303(a911,x84675),x84674)))+~P107(f328(f328(f239(a911),x84675),x84674))+~P107(f328(f328(f239(a911),x84673),x84675))
% 28.33/28.23 [8800]~P70(x88002)+E(x88001,f2(x88002))+E(x88003,f2(x88002))+E(f328(f328(f291(x88002),f328(f328(f83(x88002),f328(f328(f84(x88002),x88004),x88001)),f328(f328(f84(x88002),x88005),x88003))),f328(f328(f84(x88002),x88003),x88001)),f328(f328(f83(x88002),f328(f328(f291(x88002),x88004),x88003)),f328(f328(f291(x88002),x88005),x88001)))
% 28.33/28.23 [8801]~P70(x88012)+E(x88011,f2(x88012))+E(x88013,f2(x88012))+E(f328(f328(f291(x88012),f328(f328(f3(x88012),f328(f328(f84(x88012),x88014),x88011)),f328(f328(f84(x88012),x88015),x88013))),f328(f328(f84(x88012),x88013),x88011)),f328(f328(f3(x88012),f328(f328(f291(x88012),x88014),x88013)),f328(f328(f291(x88012),x88015),x88011)))
% 28.33/28.23 [8809]~E(x88092,f328(x88093,x88091))+E(x88091,f490(x88092,x88093,x88094,x88095))+~P30(x88095,x88094,x88093,f246(f918(x88095,a905)))+~P107(f328(f328(f330(x88094),x88092),f328(f311(x88095,x88094,x88093),f246(f918(x88095,a905)))))
% 28.33/28.23 [9015]~P113(x90151)+~P107(f328(f328(f240(x90151),f328(f79(x90151),x90152)),x90154))+P107(f328(f328(f240(x90151),f328(f328(f84(x90151),f328(f79(x90151),x90152)),f328(f79(x90151),x90153))),f328(f328(f84(x90151),x90154),x90155)))+~P107(f328(f328(f240(x90151),f328(f79(x90151),x90153)),x90155))
% 28.33/28.23 [9033]~P34(x90331,x90335,x90334)+P33(x90331,x90332,x90333)+P107(f328(f328(f330(f910(x90331)),f596(x90334,x90335,x90331,x90332)),x90335))+~P107(f328(f328(f330(f910(x90331)),x90333),x90334))
% 28.33/28.23 [9126]~P30(x91261,x91263,x91265,x91262)+~P107(f328(f64(x91263),x91264))+P107(f328(f328(f239(a911),f328(f38(x91261),x91262)),f328(f38(x91263),x91264)))+~P107(f328(f328(f239(f918(x91263,a905)),f328(f311(x91261,x91263,x91265),x91262)),x91264))
% 28.33/28.23 [9195]~P78(x91952)+~P30(x91951,x91951,x91954,x91955)+~P107(f328(f64(x91951),x91955))+E(f328(f328(f11(x91951,x91952),f328(f76(x91951,x91952,x91951,x91953),x91954)),x91955),f328(f328(f11(x91951,x91952),x91953),f328(f311(x91951,x91951,x91954),x91955)))
% 28.33/28.23 [9196]~P76(x91962)+~P30(x91961,x91961,x91964,x91965)+~P107(f328(f64(x91961),x91965))+E(f328(f328(f8(x91961,x91962),f328(f76(x91961,x91962,x91961,x91963),x91964)),x91965),f328(f328(f8(x91961,x91962),x91963),f328(f311(x91961,x91961,x91964),x91965)))
% 28.33/28.23 [9283]~E(f499(x92832,x92834,x92831,x92833,x92835),x92835)+~E(x92832,f328(x92834,x92835))+~P30(x92833,x92831,x92834,f246(f918(x92833,a905)))+P107(f328(f328(f330(x92831),x92832),f328(f311(x92833,x92831,x92834),f246(f918(x92833,a905)))))
% 28.33/28.23 [9320]~P43(x93201,x93202)+~P107(f328(f328(f330(x93201),x93203),x93204))+~P107(f328(f328(f330(x93201),x93205),x93204))+~P107(f328(f328(f330(f917(x93201,x93201)),f328(f328(f256(x93201,x93201),x93205),f772(x93202,x93201,x93204))),x93202))
% 28.33/28.23 [9354]~P30(x93542,x93543,x93545,x93541)+E(x93541,f190(f918(x93542,a905)))+E(f328(f311(x93543,x93542,f470(x93544,x93543,x93542,x93541)),x93544),x93541)+~P107(f328(f328(f239(f918(x93543,a905)),f328(f311(x93542,x93543,x93545),x93541)),x93544))
% 28.33/28.23 [9391]~E(x93912,f328(x93911,x93915))+~P30(x93914,x93913,x93911,f246(f918(x93914,a905)))+E(f328(x93911,f499(x93912,x93911,x93913,x93914,x93915)),x93912)+P107(f328(f328(f330(x93913),x93912),f328(f311(x93914,x93913,x93911),f246(f918(x93914,a905)))))
% 28.33/28.23 [9823]~P109(x98235)+~P10(x98235)+P107(f328(f328(f330(x98231),f397(x98232,x98233,x98231,x98234,x98235)),x98233))+~P107(f328(f328(f240(x98235),x98234),f328(f328(f42(x98231,x98235),x98233),x98232)))
% 28.33/28.23 [9828]~P109(x98281)+~P10(x98281)+P107(f328(f328(f240(x98281),x98282),f328(x98283,f397(x98283,x98284,x98285,x98282,x98281))))+~P107(f328(f328(f240(x98281),x98282),f328(f328(f42(x98285,x98281),x98284),x98283)))
% 28.33/28.23 [9903]~P73(x99031)+~P107(f328(f69(x99031,x99031,f84(x99031),x99032,x99033),x99035))+P107(f328(f328(f330(x99031),x99032),x99033))+P107(f328(f69(x99031,x99031,f84(x99031),x99034,f328(f328(f310(x99031),x99032),x99033)),f328(f328(f84(x99031),x99034),x99035)))
% 28.33/28.23 [10105]~P78(x101052)+~P107(f328(f64(x101051),x101055))+E(f328(f328(f11(x101051,x101052),f328(f328(f9(x101051,x101052,x101052),f328(f328(f20(x101051,x101052,f918(x101052,x101052)),f328(f328(f10(a905,f918(x101052,f918(x101052,x101052)),x101051),f100(x101052)),f328(a325,x101053))),x101054)),f81(x101052))),x101055),f81(x101052))+P107(f328(f328(f330(x101051),x101053),x101055))
% 28.33/28.23 [10106]~P76(x101062)+~P107(f328(f64(x101061),x101065))+E(f328(f328(f8(x101061,x101062),f328(f328(f9(x101061,x101062,x101062),f328(f328(f20(x101061,x101062,f918(x101062,x101062)),f328(f328(f10(a905,f918(x101062,f918(x101062,x101062)),x101061),f100(x101062)),f328(a325,x101063))),x101064)),f2(x101062))),x101065),f2(x101062))+P107(f328(f328(f330(x101061),x101063),x101065))
% 28.33/28.23 [10107]~P78(x101072)+~P107(f328(f64(x101071),x101075))+E(f328(f328(f11(x101071,x101072),f328(f328(f9(x101071,x101072,x101072),f328(f328(f20(x101071,x101072,f918(x101072,x101072)),f328(f328(f10(a905,f918(x101072,f918(x101072,x101072)),x101071),f100(x101072)),f328(a325,x101073))),x101074)),f81(x101072))),x101075),f328(x101074,x101073))+~P107(f328(f328(f330(x101071),x101073),x101075))
% 28.33/28.23 [10108]~P76(x101082)+~P107(f328(f64(x101081),x101085))+E(f328(f328(f8(x101081,x101082),f328(f328(f9(x101081,x101082,x101082),f328(f328(f20(x101081,x101082,f918(x101082,x101082)),f328(f328(f10(a905,f918(x101082,f918(x101082,x101082)),x101081),f100(x101082)),f328(a325,x101083))),x101084)),f2(x101082))),x101085),f328(x101084,x101083))+~P107(f328(f328(f330(x101081),x101083),x101085))
% 28.33/28.23 [10160]~P78(x101602)+~P107(f328(f64(x101601),x101605))+E(f328(f328(f11(x101601,x101602),f328(f328(f9(x101601,x101602,x101602),f328(f328(f20(x101601,x101602,f918(x101602,x101602)),f328(f328(f10(a905,f918(x101602,f918(x101602,x101602)),x101601),f100(x101602)),f328(f328(f9(x101601,x101601,a905),a325),x101603))),x101604)),f81(x101602))),x101605),f81(x101602))+P107(f328(f328(f330(x101601),x101603),x101605))
% 28.33/28.23 [10161]~P76(x101612)+~P107(f328(f64(x101611),x101615))+E(f328(f328(f8(x101611,x101612),f328(f328(f9(x101611,x101612,x101612),f328(f328(f20(x101611,x101612,f918(x101612,x101612)),f328(f328(f10(a905,f918(x101612,f918(x101612,x101612)),x101611),f100(x101612)),f328(f328(f9(x101611,x101611,a905),a325),x101613))),x101614)),f2(x101612))),x101615),f2(x101612))+P107(f328(f328(f330(x101611),x101613),x101615))
% 28.33/28.23 [10163]~P78(x101632)+~P107(f328(f64(x101631),x101635))+E(f328(f328(f11(x101631,x101632),f328(f328(f9(x101631,x101632,x101632),f328(f328(f20(x101631,x101632,f918(x101632,x101632)),f328(f328(f10(a905,f918(x101632,f918(x101632,x101632)),x101631),f100(x101632)),f328(f328(f9(x101631,x101631,a905),a325),x101633))),x101634)),f81(x101632))),x101635),f328(x101634,x101633))+~P107(f328(f328(f330(x101631),x101633),x101635))
% 28.33/28.23 [10164]~P76(x101642)+~P107(f328(f64(x101641),x101645))+E(f328(f328(f8(x101641,x101642),f328(f328(f9(x101641,x101642,x101642),f328(f328(f20(x101641,x101642,f918(x101642,x101642)),f328(f328(f10(a905,f918(x101642,f918(x101642,x101642)),x101641),f100(x101642)),f328(f328(f9(x101641,x101641,a905),a325),x101643))),x101644)),f2(x101642))),x101645),f328(x101644,x101643))+~P107(f328(f328(f330(x101641),x101643),x101645))
% 28.33/28.23 [7962]~P7(x79622)+~P107(f328(f64(x79621),x79624))+E(f328(f328(f8(x79621,x79622),x79623),f328(f328(f3(f918(x79621,a905)),x79624),f328(f328(f310(x79621),x79625),f190(f918(x79621,a905))))),f328(f328(f8(x79621,x79622),x79623),x79624))+P107(f328(f328(f330(x79621),x79625),x79624))
% 28.33/28.23 [8472]~P128(x84722)+~P107(f328(f64(x84721),x84724))+E(f328(f328(f8(x84721,x84722),x84723),f328(f328(f3(f918(x84721,a905)),x84724),f328(f328(f310(x84721),x84725),f190(f918(x84721,a905))))),f328(f328(f3(x84722),f328(f328(f8(x84721,x84722),x84723),x84724)),f328(x84723,x84725)))+~P107(f328(f328(f330(x84721),x84725),x84724))
% 28.33/28.23 [8473]~P7(x84732)+~P107(f328(f64(x84731),x84734))+E(f328(f328(f8(x84731,x84732),x84733),f328(f328(f3(f918(x84731,a905)),x84734),f328(f328(f310(x84731),x84735),f190(f918(x84731,a905))))),f328(f328(f3(x84732),f328(f328(f8(x84731,x84732),x84733),x84734)),f328(x84733,x84735)))+~P107(f328(f328(f330(x84731),x84735),x84734))
% 28.33/28.23 [8501]~P7(x85011)+~P107(f328(f64(x85012),x85014))+E(f328(f328(f3(x85011),f328(f328(f8(x85012,x85011),x85013),x85014)),f328(f328(f8(x85012,x85011),x85013),x85015)),f328(f328(f8(x85012,x85011),x85013),f328(f328(f3(f918(x85012,a905)),x85014),x85015)))+~P107(f328(f328(f239(f918(x85012,a905)),x85015),x85014))
% 28.33/28.23 [8521]P107(f328(f64(x85211),f328(x85212,x85213)))+~P107(f328(f64(x85214),x85215))+~P107(f328(f328(f330(x85214),x85213),x85215))+~P107(f328(f64(x85211),f328(f328(f42(x85214,f918(x85211,a905)),x85215),x85212)))
% 28.33/28.23 [8972]~P13(x89721,x89725,x89724)+~E(f328(f287(x89721,x89721,x89724),f328(f328(f310(x89721),x89722),f190(f918(x89721,a905)))),f328(f287(x89721,x89721,x89724),f328(f328(f310(x89721),x89723),f190(f918(x89721,a905)))))+~P107(f328(f328(f330(x89721),x89723),x89725))+P107(f328(f328(f330(f917(x89721,x89721)),f328(f328(f256(x89721,x89721),x89722),x89723)),x89724))
% 28.33/28.23 [9276]~P107(f328(x92761,x92765))+P107(f328(x92761,f902(x92761,x92762,x92763,x92764)))+P107(f328(x92761,f897(x92761,x92762,x92763,x92764)))+~P107(f328(f328(f330(x92764),x92765),f328(f328(f105(f918(x92764,a905)),x92763),x92762)))
% 28.33/28.23 [9452]~P107(f328(x94521,x94525))+P107(f328(x94521,f897(x94521,x94522,x94523,x94524)))+P107(f328(f328(f330(x94524),f902(x94521,x94522,x94523,x94524)),x94522))+~P107(f328(f328(f330(x94524),x94525),f328(f328(f105(f918(x94524,a905)),x94523),x94522)))
% 28.33/28.23 [9453]~P107(f328(x94531,x94535))+P107(f328(x94531,f902(x94531,x94532,x94533,x94534)))+P107(f328(f328(f330(x94534),f897(x94531,x94532,x94533,x94534)),x94533))+~P107(f328(f328(f330(x94534),x94535),f328(f328(f105(f918(x94534,a905)),x94533),x94532)))
% 28.33/28.23 [9457]P107(f328(x94571,x94572))+~P107(f328(x94571,f339(x94571,x94573,x94574,x94575)))+~P107(f328(x94571,f338(x94571,x94573,x94574,x94575)))+~P107(f328(f328(f330(x94575),x94572),f328(f328(f105(f918(x94575,a905)),x94574),x94573)))
% 28.33/28.23 [9461]~P44(x94611,x94614)+~P107(f328(f328(f330(f917(x94611,x94611)),f328(f328(f256(x94611,x94611),x94612),x94615)),x94614))+P107(f328(f328(f330(f917(x94611,x94611)),f328(f328(f256(x94611,x94611),x94612),x94613)),x94614))+~P107(f328(f328(f330(f917(x94611,x94611)),f328(f328(f256(x94611,x94611),x94615),x94613)),x94614))
% 28.33/28.23 [9462]~P44(x94621,x94624)+~P107(f328(f328(f330(f917(x94621,x94621)),f328(f328(f256(x94621,x94621),x94622),x94625)),x94624))+P107(f328(f328(f330(f917(x94621,x94621)),f328(f328(f256(x94621,x94621),x94622),x94623)),x94624))+~P107(f328(f328(f330(f917(x94621,x94621)),f328(f328(f256(x94621,x94621),x94625),x94623)),x94624))
% 28.33/28.23 [9500]E(x95001,x95002)+~P107(f328(f328(f330(f917(x95003,x95003)),f328(f328(f256(x95003,x95003),x95001),x95002)),f308(x95003,x95005)))+P107(f328(f328(f330(x95003),x95001),x95004))+~P107(f328(f328(f239(f918(f917(x95003,x95003),a905)),x95005),f328(f328(f258(x95003,x95003),x95004),f328(f18(f918(x95003,a905),x95003),x95004))))
% 28.33/28.23 [9518]P107(f328(x95181,x95182))+~P107(f328(x95181,f338(x95181,x95184,x95185,x95183)))+P107(f328(f328(f330(x95183),f339(x95181,x95184,x95185,x95183)),x95184))+~P107(f328(f328(f330(x95183),x95182),f328(f328(f105(f918(x95183,a905)),x95185),x95184)))
% 28.33/28.23 [9519]P107(f328(x95191,x95192))+~P107(f328(x95191,f339(x95191,x95194,x95195,x95193)))+P107(f328(f328(f330(x95193),f338(x95191,x95194,x95195,x95193)),x95195))+~P107(f328(f328(f330(x95193),x95192),f328(f328(f105(f918(x95193,a905)),x95195),x95194)))
% 28.33/28.23 [9584]P107(f328(x95841,x95842))+P107(f328(f328(f330(x95843),f339(x95841,x95844,x95845,x95843)),x95844))+P107(f328(f328(f330(x95843),f338(x95841,x95844,x95845,x95843)),x95845))+~P107(f328(f328(f330(x95843),x95842),f328(f328(f105(f918(x95843,a905)),x95845),x95844)))
% 28.33/28.23 [9586]~P107(f328(x95862,x95865))+P107(f328(f328(f330(x95861),f902(x95862,x95863,x95864,x95861)),x95863))+P107(f328(f328(f330(x95861),f897(x95862,x95863,x95864,x95861)),x95864))+~P107(f328(f328(f330(x95861),x95865),f328(f328(f105(f918(x95861,a905)),x95864),x95863)))
% 28.33/28.23 [9732]~P13(x97321,x97325,x97324)+~P107(f328(f328(f330(x97321),x97323),x97325))+P107(f328(f328(f330(f917(x97321,x97321)),f328(f328(f256(x97321,x97321),x97322),x97323)),x97324))+~P107(f328(f328(f239(f918(x97321,a905)),f328(f287(x97321,x97321,x97324),f328(f328(f310(x97321),x97323),f190(f918(x97321,a905))))),f328(f287(x97321,x97321,x97324),f328(f328(f310(x97321),x97322),f190(f918(x97321,a905))))))
% 28.33/28.23 [9855]~P109(x98555)+~P10(x98555)+P107(f328(f328(f330(x98551),f620(x98552,x98553,x98554,x98551,x98555)),x98554))+~P107(f328(f328(f240(x98555),f328(f328(f43(x98551,x98555),x98554),x98553)),x98552))
% 28.33/28.23 [9887]~P79(x98875)+~P85(x98875)+P107(f328(f328(f330(x98871),f625(x98872,x98873,x98874,x98871,x98875)),f328(f174(x98871),x98874)))+P107(f328(f328(f239(x98875),f328(f167(x98875),f328(f328(f156(x98871,x98875),x98873),x98874))),f328(f167(x98875),f328(f328(f156(x98871,x98875),x98872),x98874))))
% 28.33/28.23 [9994]~P109(x99941)+~P10(x99941)+P107(f328(f328(f240(x99941),f328(x99942,f620(x99943,x99942,x99944,x99945,x99941))),x99943))+~P107(f328(f328(f240(x99941),f328(f328(f43(x99945,x99941),x99944),x99942)),x99943))
% 28.33/28.23 [10123]~P79(x101231)+~P85(x101231)+~P107(f328(f328(f239(x101231),f328(x101233,f625(x101235,x101233,x101234,x101232,x101231))),f328(x101235,f625(x101235,x101233,x101234,x101232,x101231))))+P107(f328(f328(f239(x101231),f328(f167(x101231),f328(f328(f156(x101232,x101231),x101233),x101234))),f328(f167(x101231),f328(f328(f156(x101232,x101231),x101235),x101234))))
% 28.33/28.23 [8818]~P78(x88181)+~P107(f328(f64(x88184),x88185))+~P107(f328(f328(f330(x88184),x88183),x88185))+E(f328(f328(f84(x88181),f328(x88182,x88183)),f328(f328(f11(x88184,x88181),x88182),f328(f328(f3(f918(x88184,a905)),x88185),f328(f328(f310(x88184),x88183),f190(f918(x88184,a905)))))),f328(f328(f11(x88184,x88181),x88182),x88185))
% 28.33/28.23 [8819]~P76(x88191)+~P107(f328(f64(x88194),x88195))+~P107(f328(f328(f330(x88194),x88193),x88195))+E(f328(f328(f83(x88191),f328(x88192,x88193)),f328(f328(f8(x88194,x88191),x88192),f328(f328(f3(f918(x88194,a905)),x88195),f328(f328(f310(x88194),x88193),f190(f918(x88194,a905)))))),f328(f328(f8(x88194,x88191),x88192),x88195))
% 28.33/28.23 [8820]~P76(x88201)+~P107(f328(f64(x88204),x88205))+~P107(f328(f328(f330(x88204),x88203),x88205))+E(f328(f328(f83(x88201),f328(x88202,x88203)),f328(f328(f8(x88204,x88201),x88202),f328(f328(f3(f918(x88204,a905)),x88205),f328(f328(f310(x88204),x88203),f190(f918(x88204,a905)))))),f328(f328(f8(x88204,x88201),x88202),x88205))
% 28.33/28.23 [8877]~P23(x88771,x88774,x88775)+~P107(f328(f64(x88771),x88772))+E(f328(f328(f3(f918(x88771,a905)),x88772),f328(f328(f310(x88771),x88773),f190(f918(x88771,a905)))),f190(f918(x88771,a905)))+E(f328(f328(x88774,x88773),f328(x88775,f328(f328(f3(f918(x88771,a905)),x88772),f328(f328(f310(x88771),x88773),f190(f918(x88771,a905)))))),f328(x88775,f328(f328(f310(x88771),x88773),x88772)))
% 28.33/28.23 [9247]~P76(x92471)+~P107(f328(f64(x92472),x92475))+~P107(f328(f64(x92472),x92474))+E(f328(f328(f83(x92471),f328(f328(f8(x92472,x92471),x92473),f328(f328(f105(f918(x92472,a905)),x92474),x92475))),f328(f328(f8(x92472,x92471),x92473),f328(f328(f106(f918(x92472,a905)),x92474),x92475))),f328(f328(f83(x92471),f328(f328(f8(x92472,x92471),x92473),x92474)),f328(f328(f8(x92472,x92471),x92473),x92475)))
% 28.33/28.23 [9248]~P78(x92481)+~P107(f328(f64(x92482),x92485))+~P107(f328(f64(x92482),x92484))+E(f328(f328(f84(x92481),f328(f328(f11(x92482,x92481),x92483),f328(f328(f105(f918(x92482,a905)),x92484),x92485))),f328(f328(f11(x92482,x92481),x92483),f328(f328(f106(f918(x92482,a905)),x92484),x92485))),f328(f328(f84(x92481),f328(f328(f11(x92482,x92481),x92483),x92484)),f328(f328(f11(x92482,x92481),x92483),x92485)))
% 28.33/28.23 [9249]~P78(x92491)+~P107(f328(f64(x92492),x92495))+~P107(f328(f64(x92492),x92494))+E(f328(f328(f84(x92491),f328(f328(f11(x92492,x92491),x92493),f328(f328(f105(f918(x92492,a905)),x92494),x92495))),f328(f328(f11(x92492,x92491),x92493),f328(f328(f106(f918(x92492,a905)),x92494),x92495))),f328(f328(f84(x92491),f328(f328(f11(x92492,x92491),x92493),x92494)),f328(f328(f11(x92492,x92491),x92493),x92495)))
% 28.33/28.23 [9390]~P7(x93901)+~P107(f328(f64(x93902),x93905))+~P107(f328(f64(x93902),x93904))+E(f328(f328(f3(x93901),f328(f328(f83(x93901),f328(f328(f8(x93902,x93901),x93903),x93904)),f328(f328(f8(x93902,x93901),x93903),x93905))),f328(f328(f8(x93902,x93901),x93903),f328(f328(f106(f918(x93902,a905)),x93904),x93905))),f328(f328(f8(x93902,x93901),x93903),f328(f328(f105(f918(x93902,a905)),x93904),x93905)))
% 28.33/28.23 [9596]~P30(x95961,x95962,x95963,x95965)+~P30(x95961,x95962,x95963,x95964)+P30(x95961,x95962,x95963,f328(f328(f105(f918(x95961,a905)),x95964),x95965))+~E(f328(f328(f106(f918(x95962,a905)),f328(f311(x95961,x95962,x95963),f328(f328(f3(f918(x95961,a905)),x95964),x95965))),f328(f311(x95961,x95962,x95963),f328(f328(f3(f918(x95961,a905)),x95965),x95964))),f190(f918(x95962,a905)))
% 28.33/28.23 [9706]E(x97061,f2(a1))+~P107(f328(f328(f240(a1),f2(a1)),x97063))+~P107(f328(f52(x97062,x97061),f328(f328(f256(a1,a1),x97064),x97065)))+P107(f328(f52(x97062,f328(f328(f84(a1),x97061),x97063)),f328(f328(f256(a1,a1),f328(f328(f39(a1),x97064),x97063)),f328(f328(f83(a1),f328(f328(f84(a1),x97061),f48(a1,x97064,x97063))),x97065))))
% 28.33/28.23 [9714]~P107(f328(f328(f240(a911),f2(a911)),x97143))+~P107(f328(f328(f240(a911),f2(a911)),x97142))+~P107(f328(f51(x97141,x97142),f328(f328(f256(a911,a911),x97144),x97145)))+P107(f328(f51(x97141,f328(f328(f84(a911),x97142),x97143)),f328(f328(f256(a911,a911),f328(f328(f39(a911),x97144),x97143)),f328(f328(f83(a911),f328(f328(f84(a911),x97142),f48(a911,x97144,x97143))),x97145))))
% 28.33/28.23 [9762]~P78(x97621)+~P107(f328(f64(x97622),x97625))+~P107(f328(f64(x97622),x97624))+E(f328(f328(f84(x97621),f328(f328(f328(f68(x97621,x97622,f84(x97621)),x97623),f81(x97621)),f328(f328(f105(f918(x97622,a905)),x97624),x97625))),f328(f328(f328(f68(x97621,x97622,f84(x97621)),x97623),f81(x97621)),f328(f328(f106(f918(x97622,a905)),x97624),x97625))),f328(f328(f84(x97621),f328(f328(f328(f68(x97621,x97622,f84(x97621)),x97623),f81(x97621)),x97624)),f328(f328(f328(f68(x97621,x97622,f84(x97621)),x97623),f81(x97621)),x97625)))
% 28.33/28.23 [9764]~E(f328(f328(f177(x97641),x97645),x97642),f328(f328(f177(x97641),x97645),x97643))+P107(f328(f328(f330(f917(f912(x97641),f912(x97641))),f328(f328(f256(f912(x97641),f912(x97641)),x97642),x97643)),f149(x97641,x97644)))+~P107(f328(f328(f240(a911),x97645),f328(f328(f243(a911),f328(f191(f912(x97641)),x97642)),f328(f191(f912(x97641)),x97643))))+~P107(f328(f328(f330(f917(x97641,x97641)),f328(f328(f256(x97641,x97641),f328(f328(f166(x97641),x97642),x97645)),f328(f328(f166(x97641),x97643),x97645))),x97644))
% 28.33/28.23 [9876]~P108(x98765)+~P85(x98765)+P107(f328(f328(f330(x98761),f475(x98762,x98763,x98764,x98761,x98765)),x98764))+P107(f328(f328(f239(x98765),f328(f328(f8(x98761,x98765),x98763),x98764)),f328(f328(f84(x98765),f328(f104(x98765),f328(f38(x98761),x98764))),x98762)))
% 28.33/28.23 [10052]~P108(x100521)+~P85(x100521)+~P107(f328(f328(f239(x100521),f328(x100523,f475(x100525,x100523,x100524,x100522,x100521))),x100525))+P107(f328(f328(f239(x100521),f328(f328(f8(x100522,x100521),x100523),x100524)),f328(f328(f84(x100521),f328(f104(x100521),f328(f38(x100522),x100524))),x100525)))
% 28.33/28.23 [8848]E(f328(f328(f136(x88481),x88482),x88483),f328(f328(f136(x88481),x88484),x88485))+~E(f328(f328(f177(x88481),f328(f191(f912(x88481)),x88482)),x88484),x88482)+~E(f328(f328(f136(x88481),f328(f328(f140(x88481),f328(f191(f912(x88481)),x88482)),x88484)),x88485),x88483)+P107(f328(f328(f239(a911),f328(f191(f912(x88481)),x88484)),f328(f191(f912(x88481)),x88482)))
% 28.33/28.23 [8971]E(f328(f328(f136(x89711),x89712),x89713),f328(f328(f136(x89711),x89714),x89715))+~E(f328(f328(f177(x89711),f328(f191(f912(x89711)),x89712)),x89714),x89712)+~E(x89713,f328(f328(f136(x89711),f328(f328(f140(x89711),f328(f191(f912(x89711)),x89712)),x89714)),x89715))+~P107(f328(f328(f239(a911),f328(f191(f912(x89711)),x89712)),f328(f191(f912(x89711)),x89714)))
% 28.33/28.23 [10183]~P107(f328(x101835,x101834))+~P107(f328(f64(x101832),f328(f266(x101832),x101835)))+P107(f328(f64(x101831),f328(f266(x101831),f328(f328(f9(x101831,x101832,a905),x101833),x101834))))+~P107(f328(f64(x101831),f328(f266(x101831),f328(f328(f10(f918(x101832,a905),a905,x101831),f90(x101832)),f328(f328(f10(f918(x101832,a905),f918(x101832,a905),x101831),f328(f20(x101832,a905,a905),f328(f328(f10(a905,f918(a905,a905),x101832),a326),x101835))),x101833)))))
% 28.33/28.23 [10253]~P107(f328(f64(x102532),x102535))+~P107(f328(f328(f330(x102532),x102534),x102535))+P107(f328(f64(x102531),f328(f266(x102531),f328(f328(f9(x102531,x102532,a905),x102533),x102534))))+~P107(f328(f64(x102531),f328(f266(x102531),f328(f328(f10(f918(x102532,a905),a905,x102531),f90(x102532)),f328(f328(f10(f918(x102532,a905),f918(x102532,a905),x102531),f328(f20(x102532,a905,a905),f328(f328(f10(a905,f918(a905,a905),x102532),a326),f328(f328(f9(x102532,f918(x102532,a905),a905),f330(x102532)),x102535)))),x102533)))))
% 28.33/28.23 [8109]~P47(x81092,x81093,x81094,x81096)+~P47(f33(x81091,x81092),x81096,x81094,x81095)+P47(f33(x81091,x81092),x81093,x81094,x81095)+~P107(f328(x81091,x81093))
% 28.33/28.23 [8110]~P47(x81102,x81103,x81104,x81106)+~P47(f33(x81101,x81102),x81106,x81104,x81105)+P47(f33(x81101,x81102),x81103,x81104,x81105)+~P107(f328(x81101,x81103))
% 28.33/28.23 [8639]~P24(x86395,x86391,x86396,x86392)+E(f328(f76(x86391,x86391,x86391,f328(x86392,x86393)),f328(x86392,x86394)),f328(f76(x86391,x86391,x86391,f328(x86392,x86394)),f328(x86392,x86393)))+~P107(f328(f64(x86395),x86394))+~P107(f328(f64(x86395),x86393))
% 28.33/28.23 [8017]~P30(x80171,x80172,x80174,x80173)+~E(f328(x80174,x80176),x80175)+E(f328(f80(x80171,x80172,x80173,x80174),x80175),x80176)+~P107(f328(f328(f330(x80171),x80176),x80173))
% 28.33/28.23 [8018]~P30(x80181,x80182,x80184,x80183)+~E(f328(x80184,x80186),x80185)+E(f328(f95(x80181,x80182,x80183,x80184),x80185),x80186)+~P107(f328(f328(f330(x80181),x80186),x80183))
% 28.33/28.23 [8222]~P25(x82226,x82221,x82224,x82222)+E(f328(f76(x82221,x82221,x82221,f328(x82222,x82223)),f328(x82224,x82225)),f328(x82222,x82223))+~P107(f328(f64(x82226),x82223))+~P107(f328(f328(f330(x82226),x82225),x82223))
% 28.33/28.23 [9346]E(x93461,x93462)+~E(f328(f95(x93463,x93464,x93465,x93466),x93461),f328(f95(x93463,x93464,x93465,x93466),x93462))+~P107(f328(f328(f330(x93464),x93462),f328(f311(x93463,x93464,x93466),x93465)))+~P107(f328(f328(f330(x93464),x93461),f328(f311(x93463,x93464,x93466),x93465)))
% 28.33/28.23 [9437]~P24(x94373,x94371,x94376,x94372)+E(f328(f76(x94371,x94371,x94371,f328(x94372,f328(f328(f3(f918(x94373,a905)),x94374),f328(f328(f310(x94373),x94375),f190(f918(x94373,a905)))))),f328(x94376,x94375)),f328(x94372,x94374))+~P107(f328(f64(x94373),x94374))+~P107(f328(f328(f330(x94373),x94375),x94374))
% 28.33/28.23 [7090]~P8(x70901)+~E(f48(x70901,x70903,x70904),f48(x70901,x70906,x70904))+~E(f48(x70901,x70902,x70904),f48(x70901,x70905,x70904))+E(f48(x70901,f328(f328(f83(x70901),x70902),x70903),x70904),f48(x70901,f328(f328(f83(x70901),x70905),x70906),x70904))
% 28.33/28.23 [7091]~P8(x70911)+~E(f48(x70911,x70913,x70914),f48(x70911,x70916,x70914))+~E(f48(x70911,x70912,x70914),f48(x70911,x70915,x70914))+E(f48(x70911,f328(f328(f84(x70911),x70912),x70913),x70914),f48(x70911,f328(f328(f84(x70911),x70915),x70916),x70914))
% 28.33/28.23 [7092]~P9(x70921)+~E(f48(x70921,x70923,x70924),f48(x70921,x70926,x70924))+~E(f48(x70921,x70922,x70924),f48(x70921,x70925,x70924))+E(f48(x70921,f328(f328(f3(x70921),x70922),x70923),x70924),f48(x70921,f328(f328(f3(x70921),x70925),x70926),x70924))
% 28.33/28.23 [7909]~P21(x79091,x79092,x79093)+~P107(f328(f64(x79091),x79096))+E(f328(f328(f67(x79091,x79092,x79093),x79094),f328(f328(f310(x79091),x79095),x79096)),f328(f328(f67(x79091,x79092,x79093),f328(f328(x79093,x79095),x79094)),x79096))+P107(f328(f328(f330(x79091),x79095),x79096))
% 28.33/28.23 [7976]~P10(x79761)+P107(f328(f328(f239(x79761),x79762),f328(x79763,x79764)))+~P107(f328(f328(f330(x79765),x79764),x79766))+~P107(f328(f328(f239(x79761),x79762),f328(f328(f43(x79765,x79761),x79766),x79763)))
% 28.33/28.23 [8138]~P21(x81381,x81382,x81383)+~P107(f328(f64(x81381),x81386))+E(f328(f328(f67(x81381,x81382,x81383),x81384),f328(f328(f310(x81381),x81385),x81386)),f328(f328(x81383,x81385),f328(f328(f67(x81381,x81382,x81383),x81384),x81386)))+P107(f328(f328(f330(x81381),x81385),x81386))
% 28.33/28.23 [8240]~P109(x82403)+~P107(f328(x82402,x82405))+~P18(x82403,f328(f328(f156(x82401,x82403),x82404),x82406))+E(f328(f138(x82401,x82402),f328(f328(f150(x82401,x82403,x82404),x82405),x82406)),f328(f328(f150(x82401,x82403,x82404),x82405),f328(f138(x82401,x82402),x82406)))
% 28.33/28.23 [8263]E(x82631,x82632)+E(x82633,f2(a1))+~P107(f328(f52(x82634,x82633),f328(f328(f256(a1,a1),x82635),x82632)))+~P107(f328(f52(x82634,x82633),f328(f328(f256(a1,a1),x82636),x82631)))
% 28.33/28.23 [8264]E(x82641,x82642)+E(x82643,f2(a1))+~P107(f328(f52(x82644,x82643),f328(f328(f256(a1,a1),x82642),x82645)))+~P107(f328(f52(x82644,x82643),f328(f328(f256(a1,a1),x82641),x82646)))
% 28.33/28.23 [8283]~P24(x82832,x82835,x82836,x82831)+~P107(f328(f64(x82832),x82834))+E(f328(x82831,f328(f328(f310(x82832),x82833),x82834)),f328(f76(x82835,x82835,x82835,f328(x82831,x82834)),f328(x82836,x82833)))+P107(f328(f328(f330(x82832),x82833),x82834))
% 28.33/28.23 [8504]~P25(x85045,x85041,x85046,x85042)+E(f328(f76(x85041,x85041,x85041,f328(x85042,x85043)),f328(x85042,x85044)),f328(x85042,x85043))+~P107(f328(f64(x85045),x85043))+~P107(f328(f328(f239(f918(x85045,a905)),x85044),x85043))
% 28.33/28.23 [9640]~P30(x96401,x96402,x96404,x96403)+~P107(f328(f328(f330(x96402),x96405),f328(f311(x96401,x96402,x96404),x96403)))+P107(f328(f328(f330(x96401),f328(f80(x96401,x96402,x96403,x96404),x96405)),x96406))+~P107(f328(f328(f239(f918(x96401,a905)),x96403),x96406))
% 28.33/28.23 [10005]~P76(x100052)+~E(f488(x100051,x100053,x100055,x100056,x100054,x100052),f489(x100051,x100053,x100055,x100056,x100054,x100052))+~P107(f328(f64(x100054),x100056))+E(f328(f328(f8(x100051,x100052),x100053),f328(f311(x100054,x100051,x100055),x100056)),f328(f328(f8(x100054,x100052),f328(f76(x100051,x100052,x100054,x100053),x100055)),x100056))
% 28.33/28.23 [10034]~P76(x100346)+E(f328(x100341,f488(x100342,x100343,x100341,x100344,x100345,x100346)),f328(x100341,f489(x100342,x100343,x100341,x100344,x100345,x100346)))+E(f328(f328(f8(x100342,x100346),x100343),f328(f311(x100345,x100342,x100341),x100344)),f328(f328(f8(x100345,x100346),f328(f76(x100342,x100346,x100345,x100343),x100341)),x100344))+~P107(f328(f64(x100345),x100344))
% 28.33/28.23 [10073]~P76(x100732)+~E(f328(x100733,f328(x100735,f489(x100731,x100733,x100735,x100736,x100734,x100732))),f2(x100732))+~P107(f328(f64(x100734),x100736))+E(f328(f328(f8(x100731,x100732),x100733),f328(f311(x100734,x100731,x100735),x100736)),f328(f328(f8(x100734,x100732),f328(f76(x100731,x100732,x100734,x100733),x100735)),x100736))
% 28.33/28.23 [10131]~P76(x101312)+~P107(f328(f64(x101314),x101316))+E(f328(f328(f8(x101311,x101312),x101313),f328(f311(x101314,x101311,x101315),x101316)),f328(f328(f8(x101314,x101312),f328(f76(x101311,x101312,x101314,x101313),x101315)),x101316))+P107(f328(f328(f330(x101314),f489(x101311,x101313,x101315,x101316,x101314,x101312)),x101316))
% 28.33/28.23 [10132]~P76(x101322)+~P107(f328(f64(x101324),x101326))+E(f328(f328(f8(x101321,x101322),x101323),f328(f311(x101324,x101321,x101325),x101326)),f328(f328(f8(x101324,x101322),f328(f76(x101321,x101322,x101324,x101323),x101325)),x101326))+P107(f328(f328(f330(x101324),f488(x101321,x101323,x101325,x101326,x101324,x101322)),x101326))
% 28.33/28.23 [10252]~P78(x102521)+~P107(f328(f64(x102522),x102526))+E(f328(f328(f328(f68(x102521,x102522,f84(x102521)),f328(f328(f20(x102522,f918(x102523,a905),x102521),f328(f328(f9(x102522,x102521,f918(f918(x102523,a905),x102521)),f328(f328(f10(f918(x102523,x102521),f918(x102521,f918(f918(x102523,a905),x102521)),x102522),f68(x102521,x102523,f84(x102521))),x102524)),f81(x102521))),x102525)),f81(x102521)),x102526),f328(f328(f328(f68(x102521,f917(x102522,x102523),f84(x102521)),f328(f261(x102522,x102523,x102521),x102524)),f81(x102521)),f328(f328(f258(x102522,x102523),x102526),x102525)))+P107(f328(f328(f330(x102522),f531(x102524,x102525,x102523,x102526,x102522,x102521)),x102526))
% 28.33/28.23 [10273]~P78(x102731)+~P107(f328(f64(x102732),x102736))+E(f328(f328(f328(f68(x102731,x102732,f84(x102731)),f328(f328(f20(x102732,f918(x102733,a905),x102731),f328(f328(f9(x102732,x102731,f918(f918(x102733,a905),x102731)),f328(f328(f10(f918(x102733,x102731),f918(x102731,f918(f918(x102733,a905),x102731)),x102732),f68(x102731,x102733,f84(x102731))),x102734)),f81(x102731))),x102735)),f81(x102731)),x102736),f328(f328(f328(f68(x102731,f917(x102732,x102733),f84(x102731)),f328(f261(x102732,x102733,x102731),x102734)),f81(x102731)),f328(f328(f258(x102732,x102733),x102736),x102735)))+~P107(f328(f64(x102733),f328(x102735,f531(x102734,x102735,x102733,x102736,x102732,x102731))))
% 28.33/28.23 [8416]~P25(x84162,x84165,x84166,x84161)+~P107(f328(f64(x84162),x84164))+~P107(f328(f64(x84162),x84163))+E(f328(x84161,f328(f328(f105(f918(x84162,a905)),x84163),x84164)),f328(f76(x84165,x84165,x84165,f328(x84161,x84163)),f328(x84161,x84164)))
% 28.33/28.23 [8640]~P10(x86401)+P107(f328(f328(f239(x86401),f328(x86402,x86403)),x86404))+~P107(f328(f328(f330(x86405),x86403),x86406))+~P107(f328(f328(f239(x86401),f328(f328(f42(x86405,x86401),x86406),x86402)),x86404))
% 28.33/28.23 [9057]~P30(x90572,x90571,x90573,x90576)+E(f328(f328(f3(f918(x90571,a905)),f328(f311(x90572,x90571,x90573),x90574)),f328(f311(x90572,x90571,x90573),x90575)),f328(f311(x90572,x90571,x90573),f328(f328(f3(f918(x90572,a905)),x90574),x90575)))+~P107(f328(f328(f239(f918(x90572,a905)),x90575),x90576))+~P107(f328(f328(f239(f918(x90572,a905)),x90574),x90576))
% 28.33/28.23 [9058]~P30(x90582,x90581,x90583,x90586)+E(f328(f328(f106(f918(x90581,a905)),f328(f311(x90582,x90581,x90583),x90584)),f328(f311(x90582,x90581,x90583),x90585)),f328(f311(x90582,x90581,x90583),f328(f328(f106(f918(x90582,a905)),x90584),x90585)))+~P107(f328(f328(f239(f918(x90582,a905)),x90585),x90586))+~P107(f328(f328(f239(f918(x90582,a905)),x90584),x90586))
% 28.33/28.23 [9321]E(x93211,x93212)+~P61(x93213,x93214,x93215)+~P107(f328(f328(f330(f917(x93213,x93214)),f328(f328(f256(x93213,x93214),x93216),x93212)),x93215))+~P107(f328(f328(f330(f917(x93213,x93214)),f328(f328(f256(x93213,x93214),x93216),x93211)),x93215))
% 28.33/28.23 [9322]E(x93221,x93222)+~P61(x93223,x93224,x93225)+~P107(f328(f328(f330(f917(x93223,x93224)),f328(f328(f256(x93223,x93224),x93226),x93222)),x93225))+~P107(f328(f328(f330(f917(x93223,x93224)),f328(f328(f256(x93223,x93224),x93226),x93221)),x93225))
% 28.33/28.23 [10069]~P73(x100691)+~E(f328(x100693,f751(x100694,x100696,x100693,x100695,x100692,x100691)),f328(x100696,f751(x100694,x100696,x100693,x100695,x100692,x100691)))+~P107(f328(f64(x100692),x100695))+E(f328(f328(f328(f68(x100691,x100692,f84(x100691)),x100693),x100694),x100695),f328(f328(f328(f68(x100691,x100692,f84(x100691)),x100696),x100694),x100695))
% 28.33/28.23 [10129]~P73(x101291)+~P107(f328(f64(x101292),x101295))+E(f328(f328(f328(f68(x101291,x101292,f84(x101291)),x101293),x101294),x101295),f328(f328(f328(f68(x101291,x101292,f84(x101291)),x101296),x101294),x101295))+P107(f328(f328(f330(x101292),f751(x101294,x101293,x101296,x101295,x101292,x101291)),x101295))
% 28.33/28.23 [8862]~P73(x88621)+~P107(f328(f64(x88622),x88626))+P107(f328(f328(f330(x88622),x88625),x88626))+E(f328(f328(f328(f68(x88621,x88622,f84(x88621)),x88623),x88624),f328(f328(f310(x88622),x88625),x88626)),f328(f328(f84(x88621),f328(x88623,x88625)),f328(f328(f328(f68(x88621,x88622,f84(x88621)),x88623),x88624),x88626)))
% 28.33/28.23 [8910]~P13(x89101,x89106,x89103)+~P16(x89101,f918(x89102,a905),x89103,x89105)+~P107(f328(f328(f330(x89101),x89104),x89106))+E(f328(f328(f42(x89101,f918(x89102,a905)),f328(f287(x89101,x89101,x89103),f328(f328(f310(x89101),x89104),f190(f918(x89101,a905))))),x89105),f328(x89105,x89104))
% 28.33/28.23 [9034]~P21(x90343,x90344,x90341)+~P107(f328(f64(x90343),x90346))+~P107(f328(f328(f330(x90343),x90342),x90346))+E(f328(f328(x90341,x90342),f328(f328(f67(x90343,x90344,x90341),x90345),f328(f328(f3(f918(x90343,a905)),x90346),f328(f328(f310(x90343),x90342),f190(f918(x90343,a905)))))),f328(f328(f67(x90343,x90344,x90341),x90345),x90346))
% 28.33/28.23 [9332]~P24(x93323,x93321,x93326,x93322)+~P107(f328(f64(x93323),x93325))+~P107(f328(f64(x93323),x93324))+E(f328(f76(x93321,x93321,x93321,f328(x93322,f328(f328(f105(f918(x93323,a905)),x93324),x93325))),f328(x93322,f328(f328(f106(f918(x93323,a905)),x93324),x93325))),f328(f76(x93321,x93321,x93321,f328(x93322,x93324)),f328(x93322,x93325)))
% 28.33/28.23 [9661]~E(x96613,f328(f328(f161(x96611,x96612),x96615),x96616))+P107(f328(f328(f330(f917(f912(x96611),f912(x96611))),f328(f328(f256(f912(x96611),f912(x96611)),x96612),x96613)),f159(x96611,x96614)))+~P107(f328(f328(f240(a911),x96615),f328(f191(f912(x96611)),x96612)))+~P107(f328(f328(f330(f917(x96611,x96611)),f328(f328(f256(x96611,x96611),f328(f328(f166(x96611),x96612),x96615)),x96616)),x96614))
% 28.33/28.23 [10140]~P78(x101402)+~P107(f328(f64(x101401),x101406))+P107(f328(f328(f330(x101401),f532(x101404,x101405,x101403,x101406,x101401,x101402)),x101406))+E(f328(f328(f11(x101401,x101402),f328(f328(f20(x101401,f918(x101403,a905),x101402),f328(f328(f10(f918(x101403,x101402),f918(f918(x101403,a905),x101402),x101401),f11(x101403,x101402)),x101404)),x101405)),x101406),f328(f328(f11(f917(x101401,x101403),x101402),f328(f261(x101401,x101403,x101402),x101404)),f328(f328(f258(x101401,x101403),x101406),x101405)))
% 28.33/28.23 [10141]~P76(x101412)+~P107(f328(f64(x101411),x101416))+P107(f328(f328(f330(x101411),f533(x101414,x101415,x101413,x101416,x101411,x101412)),x101416))+E(f328(f328(f8(x101411,x101412),f328(f328(f20(x101411,f918(x101413,a905),x101412),f328(f328(f10(f918(x101413,x101412),f918(f918(x101413,a905),x101412),x101411),f8(x101413,x101412)),x101414)),x101415)),x101416),f328(f328(f8(f917(x101411,x101413),x101412),f328(f261(x101411,x101413,x101412),x101414)),f328(f328(f258(x101411,x101413),x101416),x101415)))
% 28.33/28.23 [10181]~P78(x101812)+~P107(f328(f64(x101811),x101816))+~P107(f328(f64(x101813),f328(x101815,f532(x101814,x101815,x101813,x101816,x101811,x101812))))+E(f328(f328(f11(x101811,x101812),f328(f328(f20(x101811,f918(x101813,a905),x101812),f328(f328(f10(f918(x101813,x101812),f918(f918(x101813,a905),x101812),x101811),f11(x101813,x101812)),x101814)),x101815)),x101816),f328(f328(f11(f917(x101811,x101813),x101812),f328(f261(x101811,x101813,x101812),x101814)),f328(f328(f258(x101811,x101813),x101816),x101815)))
% 28.33/28.23 [10182]~P76(x101822)+~P107(f328(f64(x101821),x101826))+~P107(f328(f64(x101823),f328(x101825,f533(x101824,x101825,x101823,x101826,x101821,x101822))))+E(f328(f328(f8(x101821,x101822),f328(f328(f20(x101821,f918(x101823,a905),x101822),f328(f328(f10(f918(x101823,x101822),f918(f918(x101823,a905),x101822),x101821),f8(x101823,x101822)),x101824)),x101825)),x101826),f328(f328(f8(f917(x101821,x101823),x101822),f328(f261(x101821,x101823,x101822),x101824)),f328(f328(f258(x101821,x101823),x101826),x101825)))
% 28.33/28.23 [10162]~P78(x101622)+~P107(f328(f64(x101621),x101626))+P107(f328(f328(f330(x101621),x101623),x101626))+E(f328(f328(f11(x101621,x101622),f328(f328(f9(x101621,x101622,x101622),f328(f328(f20(x101621,x101622,f918(x101622,x101622)),f328(f328(f10(a905,f918(x101622,f918(x101622,x101622)),x101621),f100(x101622)),f328(f328(f9(x101621,x101621,a905),a325),x101623))),x101624)),x101625)),x101626),f328(f328(f248(x101622),x101625),f328(f38(x101621),x101626)))
% 28.33/28.23 [10167]~P78(x101672)+~P107(f328(f64(x101671),x101676))+~P107(f328(f328(f330(x101671),x101673),x101676))+E(f328(f328(f11(x101671,x101672),f328(f328(f9(x101671,x101672,x101672),f328(f328(f20(x101671,x101672,f918(x101672,x101672)),f328(f328(f10(a905,f918(x101672,f918(x101672,x101672)),x101671),f100(x101672)),f328(f328(f9(x101671,x101671,a905),a325),x101673))),x101674)),x101675)),x101676),f328(f328(f84(x101672),f328(x101674,x101673)),f328(f328(f248(x101672),x101675),f328(f328(f3(a911),f328(f38(x101671),x101676)),f81(a911)))))
% 28.33/28.23 [10244]~P107(f328(f64(x102441),x102445))+~P107(f328(f64(x102442),x102443))+P107(f328(f328(f330(x102442),f550(x102446,x102444,x102443,x102442,x102445,x102441)),x102443))+E(f328(f328(f8(x102441,a911),f328(f328(f10(f918(x102442,a905),a911,x102441),f38(x102442)),f328(f328(f10(f918(x102442,a905),f918(x102442,a905),x102441),f266(x102442)),f328(f328(f10(f918(x102442,a905),f918(x102442,a905),x102441),f328(f20(x102442,a905,a905),f328(f328(f10(a905,f918(a905,a905),x102442),a326),f328(f328(f9(x102442,f918(x102442,a905),a905),f330(x102442)),x102443)))),x102444)))),x102445),f328(f328(f84(a911),x102446),f328(f38(x102442),x102443)))
% 28.33/28.23 [10245]~P107(f328(f64(x102451),x102455))+~P107(f328(f64(x102452),x102453))+P107(f328(f328(f330(x102452),f551(x102456,x102454,x102453,x102452,x102455,x102451)),x102453))+E(f328(f328(f8(x102451,a911),f328(f328(f10(f918(x102452,a905),a911,x102451),f38(x102452)),f328(f328(f10(f918(x102452,a905),f918(x102452,a905),x102451),f266(x102452)),f328(f328(f10(f918(x102452,a905),f918(x102452,a905),x102451),f328(f20(x102452,a905,a905),f328(f328(f10(a905,f918(a905,a905),x102452),a326),f328(f328(f9(x102452,f918(x102452,a905),a905),f330(x102452)),x102453)))),x102454)))),x102455),f328(f328(f8(x102452,a911),x102456),x102453))
% 28.33/28.23 [10285]~P107(f328(f64(x102852),x102853))+~P107(f328(f64(x102851),x102855))+~E(f328(f38(x102851),f328(f266(x102851),f328(f328(f20(x102851,a905,a905),f328(f328(f10(a905,f918(a905,a905),x102851),a326),f328(f328(f9(x102851,f918(x102851,a905),a905),f330(x102851)),x102855))),f328(f328(f9(x102851,x102852,a905),x102854),f550(x102856,x102854,x102853,x102852,x102855,x102851))))),x102856)+E(f328(f328(f8(x102851,a911),f328(f328(f10(f918(x102852,a905),a911,x102851),f38(x102852)),f328(f328(f10(f918(x102852,a905),f918(x102852,a905),x102851),f266(x102852)),f328(f328(f10(f918(x102852,a905),f918(x102852,a905),x102851),f328(f20(x102852,a905,a905),f328(f328(f10(a905,f918(a905,a905),x102852),a326),f328(f328(f9(x102852,f918(x102852,a905),a905),f330(x102852)),x102853)))),x102854)))),x102855),f328(f328(f84(a911),x102856),f328(f38(x102852),x102853)))
% 28.33/28.23 [10287]~P107(f328(f64(x102872),x102873))+~P107(f328(f64(x102871),x102875))+~E(f328(f38(x102871),f328(f266(x102871),f328(f328(f20(x102871,a905,a905),f328(f328(f10(a905,f918(a905,a905),x102871),a326),f328(f328(f9(x102871,f918(x102871,a905),a905),f330(x102871)),x102875))),f328(f328(f9(x102871,x102872,a905),x102874),f551(x102876,x102874,x102873,x102872,x102875,x102871))))),f328(x102876,f551(x102876,x102874,x102873,x102872,x102875,x102871)))+E(f328(f328(f8(x102871,a911),f328(f328(f10(f918(x102872,a905),a911,x102871),f38(x102872)),f328(f328(f10(f918(x102872,a905),f918(x102872,a905),x102871),f266(x102872)),f328(f328(f10(f918(x102872,a905),f918(x102872,a905),x102871),f328(f20(x102872,a905,a905),f328(f328(f10(a905,f918(a905,a905),x102872),a326),f328(f328(f9(x102872,f918(x102872,a905),a905),f330(x102872)),x102873)))),x102874)))),x102875),f328(f328(f8(x102872,a911),x102876),x102873))
% 28.33/28.23 [9934]E(x99341,x99342)+~P21(x99343,x99344,x99345)+~P107(f328(f69(x99343,x99344,x99345,x99346,x99347),x99342))+~P107(f328(f69(x99343,x99344,x99345,x99346,x99347),x99341))
% 28.33/28.23 [9587]~P40(x95871,x95872,x95873,x95875,x95877)+~P40(x95871,x95872,x95873,x95874,x95876)+P40(x95871,x95872,x95873,f328(f328(f136(x95871),x95874),x95875),f328(f328(f136(x95872),x95876),x95877))+~E(f328(f191(f912(x95871)),x95874),f328(f191(f912(x95872)),x95876))
% 28.33/28.23 [9735]P107(f328(x97351,x97352))+~P107(f328(f328(f330(x97357),x97352),f328(x97356,x97354)))+~P107(f328(x97351,f394(x97351,x97356,x97355,x97353,x97357)))+~P107(f328(f328(f330(x97353),x97354),x97355))
% 28.33/28.23 [10154]~P21(x101547,x101546,x101541)+E(f328(f328(x101541,x101542),f770(x101542,x101543,x101544,x101545,x101541,x101546,x101547)),x101543)+~P107(f328(f69(x101547,x101546,x101541,x101545,x101544),x101543))+~P107(f328(f328(f330(x101547),x101542),x101544))
% 28.33/28.23 [10223]~P21(x102231,x102232,x102233)+~P107(f328(f69(x102231,x102232,x102233,x102234,x102235),x102237))+P107(f328(f69(x102231,x102232,x102233,x102234,f328(f328(f3(f918(x102231,a905)),x102235),f328(f328(f310(x102231),x102236),f190(f918(x102231,a905))))),f770(x102236,x102237,x102235,x102234,x102233,x102232,x102231)))+~P107(f328(f328(f330(x102231),x102236),x102235))
% 28.33/28.23 [9631]~P31(x96311,x96312,x96313,x96315,x96317)+~P31(x96311,x96312,x96313,x96314,x96316)+P31(x96311,x96312,x96313,f328(f328(f105(f918(x96311,a905)),x96314),x96315),f328(f328(f105(f918(x96312,a905)),x96316),x96317))+~E(f328(f328(f106(f918(x96312,a905)),x96316),x96317),f190(f918(x96312,a905)))
% 28.33/28.23 [9636]~P73(x96361)+~P30(x96365,x96362,x96366,x96367)+~P107(f328(f64(x96365),x96367))+E(f328(f328(f328(f68(x96361,x96362,f84(x96361)),x96363),x96364),f328(f311(x96365,x96362,x96366),x96367)),f328(f328(f328(f68(x96361,x96365,f84(x96361)),f328(f76(x96362,x96361,x96365,x96363),x96366)),x96364),x96367))
% 28.33/28.23 [9758]~E(f328(f328(f310(x97581),x97585),x97586),f328(f328(f310(x97581),x97582),x97583))+~P107(f328(f69(x97581,x97581,x97584,x97582,x97583),x97587))+P107(f328(f328(f330(x97581),x97582),x97583))+P107(f328(f65(x97581,x97584,f328(f328(f310(x97581),x97585),x97586)),x97587))
% 28.33/28.23 [9840]P107(f328(x98401,x98402))+~P107(f328(f328(f330(x98403),x98402),f328(x98404,x98407)))+~P107(f328(f328(f330(x98406),x98407),x98405))+P107(f328(f328(f330(x98403),f394(x98401,x98404,x98405,x98406,x98403)),f328(f328(f42(x98406,f918(x98403,a905)),x98405),x98404)))
% 28.33/28.23 [9856]~P30(x98562,x98561,x98565,x98564)+~P30(x98561,x98563,x98566,f328(f311(x98562,x98561,x98565),x98564))+E(f328(f328(f76(x98561,x98562,x98563,f80(x98562,x98561,x98564,x98565)),f80(x98561,x98563,f328(f311(x98562,x98561,x98565),x98564),x98566)),x98567),f328(f80(x98562,x98563,x98564,f328(f76(x98561,x98563,x98562,x98566),x98565)),x98567))+~P107(f328(f328(f330(x98563),x98567),f328(f311(x98561,x98563,x98566),f328(f311(x98562,x98561,x98565),x98564))))
% 28.33/28.23 [9857]~P30(x98572,x98571,x98575,x98574)+~P30(x98571,x98573,x98576,f328(f311(x98572,x98571,x98575),x98574))+E(f328(f328(f76(x98571,x98572,x98573,f95(x98572,x98571,x98574,x98575)),f95(x98571,x98573,f328(f311(x98572,x98571,x98575),x98574),x98576)),x98577),f328(f95(x98572,x98573,x98574,f328(f76(x98571,x98573,x98572,x98576),x98575)),x98577))+~P107(f328(f328(f330(x98573),x98577),f328(f311(x98571,x98573,x98576),f328(f311(x98572,x98571,x98575),x98574))))
% 28.33/28.23 [10155]~P21(x101557,x101556,x101551)+E(f328(f328(x101551,x101552),f771(x101553,x101554,x101552,x101555,x101551,x101556,x101557)),x101553)+P107(f328(f328(f330(x101557),x101552),x101554))+~P107(f328(f69(x101557,x101556,x101551,x101555,f328(f328(f310(x101557),x101552),x101554)),x101553))
% 28.33/28.23 [10222]~P21(x102221,x102224,x102225)+P107(f328(f69(x102221,x102224,x102225,x102226,x102223),f771(x102227,x102223,x102222,x102226,x102225,x102224,x102221)))+P107(f328(f328(f330(x102221),x102222),x102223))+~P107(f328(f69(x102221,x102224,x102225,x102226,f328(f328(f310(x102221),x102222),x102223)),x102227))
% 28.33/28.23 [9916]E(x99161,f2(a1))+~P107(f328(f52(x99163,x99161),f328(f328(f256(a1,a1),x99165),x99167)))+~P107(f328(f52(x99162,x99161),f328(f328(f256(a1,a1),x99164),x99166)))+P107(f328(f52(f328(f328(f83(a1),x99162),x99163),x99161),f328(f328(f256(a1,a1),f328(f328(f83(a1),f328(f328(f83(a1),x99164),x99165)),f328(f328(f39(a1),f328(f328(f83(a1),x99166),x99167)),x99161))),f48(a1,f328(f328(f83(a1),x99166),x99167),x99161))))
% 28.33/28.23 [9918]~P107(f328(f328(f240(a911),f2(a911)),x99183))+~P107(f328(f51(x99182,x99183),f328(f328(f256(a911,a911),x99185),x99187)))+~P107(f328(f51(x99181,x99183),f328(f328(f256(a911,a911),x99184),x99186)))+P107(f328(f51(f328(f328(f83(a911),x99181),x99182),x99183),f328(f328(f256(a911,a911),f328(f328(f83(a911),f328(f328(f83(a911),x99184),x99185)),f328(f328(f39(a911),f328(f328(f83(a911),x99186),x99187)),x99183))),f48(a911,f328(f328(f83(a911),x99186),x99187),x99183))))
% 28.33/28.23 [10284]~P76(x102842)+~P107(f328(f64(x102843),x102845))+~P107(f328(f64(x102841),x102847))+E(f328(f328(f8(x102841,x102842),f328(f328(f20(x102841,f918(x102843,a905),x102842),f328(f328(f10(f918(x102843,x102842),f918(f918(x102843,a905),x102842),x102841),f8(x102843,x102842)),x102844)),f328(f328(f10(f918(x102843,a905),f918(x102843,a905),x102841),f266(x102843)),f328(f328(f10(f918(x102843,a905),f918(x102843,a905),x102841),f328(f20(x102843,a905,a905),f328(f328(f10(a905,f918(a905,a905),x102843),a326),f328(f328(f9(x102843,f918(x102843,a905),a905),f330(x102843)),x102845)))),x102846)))),x102847),f328(f328(f8(x102843,x102842),f328(f328(f20(x102843,f918(x102841,a905),x102842),f328(f328(f10(f918(x102841,x102842),f918(f918(x102841,a905),x102842),x102843),f8(x102841,x102842)),f328(f9(x102841,x102843,x102842),x102844))),f328(f328(f10(f918(x102841,a905),f918(x102841,a905),x102843),f266(x102841)),f328(f328(f10(f918(x102841,a905),f918(x102841,a905),x102843),f328(f20(x102841,a905,a905),f328(f328(f10(a905,f918(a905,a905),x102841),a326),f328(f328(f9(x102841,f918(x102841,a905),a905),f330(x102841)),x102847)))),f328(f9(x102841,x102843,a905),x102846))))),x102845))
% 28.33/28.23 [9793]~P27(x97937,x97936,x97931,x97938,x97932,x97934)+E(f328(f328(x97931,f328(x97932,x97933)),f328(x97934,x97935)),f328(x97934,x97935))+~P107(f328(f64(x97936),x97935))+~P107(f328(f328(f330(x97936),x97933),x97935))
% 28.33/28.23 [9797]~P17(x97976,x97971,x97972,x97978,x97973,x97974)+~P13(x97976,x97977,x97978)+P16(x97971,x97972,x97973,f328(x97974,x97975))+~P107(f328(f328(f330(x97976),x97975),x97977))
% 28.33/28.23 [7937]~P47(x79374,x79375,x79376,x79373)+~P33(x79378,x79376,f328(f328(f328(f94(x79378),x79377),x79374),x79371))+P107(f328(f328(x79371,x79372),x79373))+~P107(f328(f328(x79377,x79372),x79375))
% 28.33/28.23 [9420]~P24(x94207,x94201,x94208,x94203)+~P107(f328(f64(x94207),x94205))+~P107(f328(f64(x94207),x94204))+E(f328(f76(x94201,x94201,x94202,f328(x94203,x94204)),f328(f76(x94201,x94201,x94202,f328(x94203,x94205)),x94206)),f328(f76(x94201,x94201,x94202,f328(x94203,x94205)),f328(f76(x94201,x94201,x94202,f328(x94203,x94204)),x94206)))
% 28.33/28.23 [9429]~P40(x94291,x94292,x94293,x94294,x94297)+P40(x94291,x94292,x94293,f328(f328(f161(x94291,x94294),x94295),x94296),f328(f328(f161(x94292,x94297),x94295),x94298))+~P107(f328(f328(x94293,x94296),x94298))+~P107(f328(f328(f240(a911),x94295),f328(f191(f912(x94291)),x94294)))
% 28.33/28.23 [9430]~P40(x94301,x94302,x94303,x94304,x94307)+P40(x94301,x94302,x94303,f328(f328(f161(x94301,x94304),x94305),x94306),f328(f328(f161(x94302,x94307),x94305),x94308))+~P107(f328(f328(x94303,x94306),x94308))+~P107(f328(f328(f240(a911),x94305),f328(f191(f912(x94302)),x94307)))
% 28.33/28.23 [9507]~P30(x95072,x95072,x95075,x95076)+~P26(x95073,x95072,x95077,x95078,x95071)+~P107(f328(f64(x95072),x95076))+E(f328(f328(x95071,f328(f76(x95072,x95073,x95072,x95074),x95075)),x95076),f328(f328(x95071,x95074),f328(f311(x95072,x95072,x95075),x95076)))
% 28.33/28.23 [9795]~P28(x97957,x97952,x97955,x97958,x97956,x97951)+~P107(f328(f64(x97952),x97954))+E(f328(x97951,f328(f328(f310(x97952),x97953),x97954)),f328(f328(x97955,f328(x97956,x97953)),f328(x97951,x97954)))+P107(f328(f328(f330(x97952),x97953),x97954))
% 28.33/28.23 [9806]~P27(x98066,x98065,x98061,x98067,x98068,x98062)+E(f328(f328(x98061,f328(x98062,x98063)),f328(x98062,x98064)),f328(x98062,x98064))+~P107(f328(f64(x98065),x98064))+~P107(f328(f328(f239(f918(x98065,a905)),x98063),x98064))
% 28.33/28.23 [10281]P29(x102818,x102817,f328(f328(f310(f910(x102818)),f328(f328(f328(f94(x102818),x102814),x102815),x102813)),f190(f918(f910(x102818),a905))))+~P29(x102818,x102817,f328(f328(f310(f910(x102818)),f328(f328(f328(f94(x102818),x102816),x102815),x102811)),f190(f918(f910(x102818),a905))))+~P107(f328(f328(x102816,x102812),f344(x102813,x102814,x102811,x102815,x102816,x102817,x102818)))+P107(f328(f328(x102811,x102812),f357(x102813,x102814,x102811,x102815,x102816,x102817,x102818)))
% 28.33/28.23 [9407]P107(f328(f328(f330(f917(f912(x94071),f912(x94071))),f328(f328(f256(f912(x94071),f912(x94071)),x94072),x94073)),f159(x94071,x94074)))+~E(x94073,f328(f328(f136(x94071),x94075),f328(f328(f153(x94071),x94076),x94077)))+~E(x94072,f328(f328(f136(x94071),x94075),f328(f328(f153(x94071),x94078),x94077)))+~P107(f328(f328(f330(f917(x94071,x94071)),f328(f328(f256(x94071,x94071),x94078),x94076)),x94074))
% 28.33/28.23 [9800]~P27(x98006,x98002,x98005,x98007,x98008,x98001)+~P107(f328(f64(x98002),x98004))+~P107(f328(f64(x98002),x98003))+E(f328(x98001,f328(f328(f105(f918(x98002,a905)),x98003),x98004)),f328(f328(x98005,f328(x98001,x98003)),f328(x98001,x98004)))
% 28.33/28.23 [10327]~P30(x103274,x103272,x103275,x103278)+E(f328(f328(f43(x103271,f918(x103272,a905)),x103273),f328(f328(f10(f918(x103274,a905),f918(x103272,a905),x103271),f311(x103274,x103272,x103275)),x103276)),f328(f311(x103274,x103272,x103275),f328(f328(f43(x103271,f918(x103274,a905)),x103273),x103276)))+~P107(f328(f328(f330(x103271),x103277),x103273))+P107(f328(f328(f330(x103271),f626(x103277,x103276,x103273,x103271,x103278,x103275,x103272,x103274)),x103273))
% 28.33/28.23 [10350]~P30(x103504,x103502,x103505,x103507)+E(f328(f328(f43(x103501,f918(x103502,a905)),x103503),f328(f328(f10(f918(x103504,a905),f918(x103502,a905),x103501),f311(x103504,x103502,x103505)),x103506)),f328(f311(x103504,x103502,x103505),f328(f328(f43(x103501,f918(x103504,a905)),x103503),x103506)))+~P107(f328(f328(f330(x103501),x103508),x103503))+~P107(f328(f328(f239(f918(x103504,a905)),f328(x103506,f626(x103508,x103506,x103503,x103501,x103507,x103505,x103502,x103504))),x103507))
% 28.33/28.23 [9866]~P28(x98667,x98665,x98661,x98668,x98662,x98664)+~P107(f328(f64(x98665),x98666))+~P107(f328(f328(f330(x98665),x98663),x98666))+E(f328(f328(x98661,f328(x98662,x98663)),f328(x98664,f328(f328(f3(f918(x98665,a905)),x98666),f328(f328(f310(x98665),x98663),f190(f918(x98665,a905)))))),f328(x98664,x98666))
% 28.33/28.23 [9874]~P28(x98746,x98743,x98741,x98747,x98748,x98742)+~P107(f328(f64(x98743),x98745))+~P107(f328(f64(x98743),x98744))+E(f328(f328(x98741,f328(x98742,f328(f328(f105(f918(x98743,a905)),x98744),x98745))),f328(x98742,f328(f328(f106(f918(x98743,a905)),x98744),x98745))),f328(f328(x98741,f328(x98742,x98744)),f328(x98742,x98745)))
% 28.33/28.23 [9957]P49(x99571,x99572,x99573,x99574,x99575,f328(f328(x99573,x99576),x99577))+~P49(x99571,x99572,x99573,x99574,f328(f328(f3(f918(x99571,a905)),x99575),f328(f328(f310(x99571),x99578),f190(f918(x99571,a905)))),x99579)+~E(f328(f328(x99573,x99576),x99577),f328(f328(x99573,x99578),x99579))+~P107(f328(f328(f330(x99571),x99578),x99575))
% 28.33/28.23 [9898]~P17(x98986,x98987,x98988,x98989,x989810,x98981)+E(f328(f328(x98981,x98982),x98983),f328(f328(x98981,x98984),x98985))+~P107(f328(f328(f330(f917(x98987,x98987)),f328(f328(f256(x98987,x98987),x98983),x98985)),x989810))+~P107(f328(f328(f330(f917(x98986,x98986)),f328(f328(f256(x98986,x98986),x98982),x98984)),x98989))
% 28.33/28.23 [9660]E(x96601,f2(a1))+E(x96602,f2(a1))+E(f328(f328(f89(a1,f917(a1,a1)),f328(f328(a221,x96602),x96601)),f328(f328(f20(a1,a1,f917(a1,a1)),f328(f328(f10(a1,f918(a1,f917(a1,a1)),a1),f256(a1,a1)),f328(f39(a1),x96602))),f328(f39(a1),x96601))),f219(x96602,x96601))+P107(f328(f328(f240(a1),x96601),f2(a1)))+~P107(f328(f316(f917(a1,a1),a225),f328(f328(f256(a1,a1),x96602),x96601)))
% 28.33/28.23 [9509]~P101(x95092)+E(x95091,f190(f918(x95092,a905)))+~P107(f328(f64(x95092),x95091))+P107(f328(f328(f330(x95092),f13(x95092,x95091)),x95091))+~P107(f328(f328(f330(x95092),f328(f328(f106(x95092),f364(x95091,x95092)),f367(x95091,x95092))),f328(f328(f310(x95092),f364(x95091,x95092)),f328(f328(f310(x95092),f367(x95091,x95092)),f190(f918(x95092,a905))))))
% 28.33/28.23 [9510]~P101(x95102)+E(x95101,f190(f918(x95102,a905)))+~P107(f328(f64(x95102),x95101))+P107(f328(f328(f330(x95102),f12(x95102,x95101)),x95101))+~P107(f328(f328(f330(x95102),f328(f328(f105(x95102),f368(x95101,x95102)),f369(x95101,x95102))),f328(f328(f310(x95102),f368(x95101,x95102)),f328(f328(f310(x95102),f369(x95101,x95102)),f190(f918(x95102,a905))))))
% 28.33/28.23 [9511]~P109(x95112)+E(x95111,f190(f918(x95112,a905)))+~P107(f328(f64(x95112),x95111))+P107(f328(f328(f330(x95112),f16(x95112,x95111)),x95111))+~P107(f328(f328(f330(x95112),f328(f328(f238(x95112),f365(x95111,x95112)),f366(x95111,x95112))),f328(f328(f310(x95112),f365(x95111,x95112)),f328(f328(f310(x95112),f366(x95111,x95112)),f190(f918(x95112,a905))))))
% 28.33/28.23 [9512]~P109(x95122)+E(x95121,f190(f918(x95122,a905)))+~P107(f328(f64(x95122),x95121))+P107(f328(f328(f330(x95122),f17(x95122,x95121)),x95121))+~P107(f328(f328(f330(x95122),f328(f328(f243(x95122),f370(x95121,x95122)),f371(x95121,x95122))),f328(f328(f310(x95122),f370(x95121,x95122)),f328(f328(f310(x95122),f371(x95121,x95122)),f190(f918(x95122,a905))))))
% 28.33/28.23 [9540]~P73(x95402)+E(x95401,f190(f918(x95402,a905)))+~P107(f328(f64(x95402),x95401))+P107(f328(f328(f330(x95402),f328(f66(x95402,f84(x95402)),x95401)),x95401))+~P107(f328(f328(f330(x95402),f328(f328(f84(x95402),f519(x95401,x95402)),f520(x95401,x95402))),f328(f328(f310(x95402),f519(x95401,x95402)),f328(f328(f310(x95402),f520(x95401,x95402)),f190(f918(x95402,a905))))))
% 28.33/28.23 [9546]~P109(x95462)+E(x95461,f190(f918(x95462,a905)))+~P107(f328(f64(x95462),x95461))+P107(f328(f328(f330(x95462),f14(x95462,f238(x95462),x95461)),x95461))+~P107(f328(f328(f330(x95462),f328(f328(f238(x95462),f372(x95461,x95462)),f373(x95461,x95462))),f328(f328(f310(x95462),f372(x95461,x95462)),f328(f328(f310(x95462),f373(x95461,x95462)),f190(f918(x95462,a905))))))
% 28.33/28.23 [9547]~P109(x95472)+E(x95471,f190(f918(x95472,a905)))+~P107(f328(f64(x95472),x95471))+P107(f328(f328(f330(x95472),f15(x95472,f243(x95472),x95471)),x95471))+~P107(f328(f328(f330(x95472),f328(f328(f243(x95472),f374(x95471,x95472)),f377(x95471,x95472))),f328(f328(f310(x95472),f374(x95471,x95472)),f328(f328(f310(x95472),f377(x95471,x95472)),f190(f918(x95472,a905))))))
% 28.33/28.23 [6662]~P88(x66622)+E(x66621,f2(x66622))+~E(f328(f328(f83(x66622),x66623),x66621),f2(x66622))+~P107(f328(f328(f239(x66622),f2(x66622)),x66623))+~P107(f328(f328(f239(x66622),f2(x66622)),x66621))
% 28.33/28.23 [6663]~P88(x66632)+E(x66631,f2(x66632))+~E(f328(f328(f83(x66632),x66631),x66633),f2(x66632))+~P107(f328(f328(f239(x66632),f2(x66632)),x66633))+~P107(f328(f328(f239(x66632),f2(x66632)),x66631))
% 28.33/28.23 [7188]~P109(x71882)+~P18(x71882,x71881)+E(x71881,f117(x71882))+~P107(f328(f328(f330(x71882),x71883),f328(f174(x71882),f652(x71881,x71882))))+P107(f328(f328(f239(x71882),f672(x71881,x71882)),x71883))
% 28.33/28.23 [7356]~P109(x73561)+E(f17(x73561,x73562),x73563)+~P107(f328(f64(x73561),x73562))+~P107(f328(f328(f239(x73561),x73563),f750(x73563,x73562,x73561)))+~P107(f328(f328(f330(x73561),x73563),x73562))
% 28.33/28.23 [7392]~P109(x73921)+~P18(x73921,x73922)+~P18(x73921,x73923)+P18(x73921,f328(f328(f136(x73921),x73922),x73923))+P107(f328(f328(f330(x73921),f659(x73923,x73922,x73921)),f328(f174(x73921),x73922)))
% 28.33/28.23 [7393]~P109(x73931)+~P18(x73931,x73932)+~P18(x73931,x73933)+P18(x73931,f328(f328(f136(x73931),x73932),x73933))+P107(f328(f328(f330(x73931),f660(x73933,x73932,x73931)),f328(f174(x73931),x73933)))
% 28.33/28.23 [7454]~P109(x74541)+E(f16(x74541,x74542),x74543)+~P107(f328(f64(x74541),x74542))+P107(f328(f328(f330(x74541),f752(x74543,x74542,x74541)),x74542))+~P107(f328(f328(f330(x74541),x74543),x74542))
% 28.33/28.23 [7455]~P109(x74551)+E(f17(x74551,x74552),x74553)+~P107(f328(f64(x74551),x74552))+P107(f328(f328(f330(x74551),f750(x74553,x74552,x74551)),x74552))+~P107(f328(f328(f330(x74551),x74553),x74552))
% 28.33/28.23 [8037]~P109(x80371)+E(f16(x80371,x80372),x80373)+~P107(f328(f64(x80371),x80372))+~P107(f328(f328(f330(x80371),x80373),x80372))+~P107(f328(f328(f239(x80371),f752(x80373,x80372,x80371)),x80373))
% 28.33/28.23 [8364]~P109(x83641)+~P18(x83641,x83642)+~P18(x83641,x83643)+P18(x83641,f328(f328(f136(x83641),x83642),x83643))+~P107(f328(f328(f239(x83641),f659(x83643,x83642,x83641)),f660(x83643,x83642,x83641)))
% 28.33/28.23 [9150]~P101(x91502)+E(x91501,f190(f918(x91502,a905)))+~E(f328(f328(f106(x91502),f328(x91503,f410(x91501,x91503,x91502))),f328(x91503,f420(x91501,x91503,x91502))),f328(x91503,f328(f328(f106(x91502),f410(x91501,x91503,x91502)),f420(x91501,x91503,x91502))))+E(f13(x91502,f328(f311(x91502,x91502,x91503),x91501)),f328(x91503,f13(x91502,x91501)))+~P107(f328(f64(x91502),x91501))
% 28.33/28.23 [9151]~P101(x91512)+E(x91511,f190(f918(x91512,a905)))+~E(f328(f328(f105(x91512),f328(x91513,f421(x91511,x91513,x91512))),f328(x91513,f422(x91511,x91513,x91512))),f328(x91513,f328(f328(f105(x91512),f421(x91511,x91513,x91512)),f422(x91511,x91513,x91512))))+E(f12(x91512,f328(f311(x91512,x91512,x91513),x91511)),f328(x91513,f12(x91512,x91511)))+~P107(f328(f64(x91512),x91511))
% 28.33/28.23 [9152]~P109(x91522)+E(x91521,f190(f918(x91522,a905)))+~E(f328(f328(f238(x91522),f328(x91523,f411(x91521,x91523,x91522))),f328(x91523,f417(x91521,x91523,x91522))),f328(x91523,f328(f328(f238(x91522),f411(x91521,x91523,x91522)),f417(x91521,x91523,x91522))))+E(f16(x91522,f328(f311(x91522,x91522,x91523),x91521)),f328(x91523,f16(x91522,x91521)))+~P107(f328(f64(x91522),x91521))
% 28.33/28.23 [9153]~P109(x91532)+E(x91531,f190(f918(x91532,a905)))+~E(f328(f328(f243(x91532),f328(x91533,f418(x91531,x91533,x91532))),f328(x91533,f419(x91531,x91533,x91532))),f328(x91533,f328(f328(f243(x91532),f418(x91531,x91533,x91532)),f419(x91531,x91533,x91532))))+E(f17(x91532,f328(f311(x91532,x91532,x91533),x91531)),f328(x91533,f17(x91532,x91531)))+~P107(f328(f64(x91532),x91531))
% 28.33/28.23 [9221]~P109(x92212)+E(x92211,f190(f918(x92212,a905)))+~E(f328(f328(f238(x92212),f328(x92213,f412(x92211,x92213,x92212))),f328(x92213,f413(x92211,x92213,x92212))),f328(x92213,f328(f328(f238(x92212),f412(x92211,x92213,x92212)),f413(x92211,x92213,x92212))))+E(f14(x92212,f238(x92212),f328(f311(x92212,x92212,x92213),x92211)),f328(x92213,f14(x92212,f238(x92212),x92211)))+~P107(f328(f64(x92212),x92211))
% 28.33/28.23 [9222]~P109(x92222)+E(x92221,f190(f918(x92222,a905)))+~E(f328(f328(f243(x92222),f328(x92223,f414(x92221,x92223,x92222))),f328(x92223,f415(x92221,x92223,x92222))),f328(x92223,f328(f328(f243(x92222),f414(x92221,x92223,x92222)),f415(x92221,x92223,x92222))))+E(f15(x92222,f243(x92222),f328(f311(x92222,x92222,x92223),x92221)),f328(x92223,f15(x92222,f243(x92222),x92221)))+~P107(f328(f64(x92222),x92221))
% 28.33/28.23 [6298]~P101(x62982)+E(x62981,f190(f918(x62982,a905)))+~P107(f328(f64(x62982),x62981))+E(f13(x62982,f328(f328(f310(x62982),x62983),x62981)),f328(f328(f106(x62982),x62983),f13(x62982,x62981)))+P107(f328(f328(f330(x62982),x62983),x62981))
% 28.33/28.23 [6299]~P101(x62992)+E(x62991,f190(f918(x62992,a905)))+~P107(f328(f64(x62992),x62991))+E(f12(x62992,f328(f328(f310(x62992),x62993),x62991)),f328(f328(f105(x62992),x62993),f12(x62992,x62991)))+P107(f328(f328(f330(x62992),x62993),x62991))
% 28.33/28.23 [6300]~P109(x63002)+E(x63001,f190(f918(x63002,a905)))+~P107(f328(f64(x63002),x63001))+E(f16(x63002,f328(f328(f310(x63002),x63003),x63001)),f328(f328(f238(x63002),x63003),f16(x63002,x63001)))+P107(f328(f328(f330(x63002),x63003),x63001))
% 28.33/28.23 [6301]~P109(x63012)+E(x63011,f190(f918(x63012,a905)))+~P107(f328(f64(x63012),x63011))+E(f17(x63012,f328(f328(f310(x63012),x63013),x63011)),f328(f328(f243(x63012),x63013),f17(x63012,x63011)))+P107(f328(f328(f330(x63012),x63013),x63011))
% 28.33/28.23 [6678]~P73(x66782)+E(x66781,f190(f918(x66782,a905)))+~P107(f328(f64(x66782),x66781))+E(f328(f66(x66782,f84(x66782)),f328(f328(f310(x66782),x66783),x66781)),f328(f328(f84(x66782),x66783),f328(f66(x66782,f84(x66782)),x66781)))+P107(f328(f328(f330(x66782),x66783),x66781))
% 28.33/28.23 [6764]~P109(x67642)+E(x67641,f190(f918(x67642,a905)))+~P107(f328(f64(x67642),x67641))+E(f14(x67642,f238(x67642),f328(f328(f310(x67642),x67643),x67641)),f328(f328(f238(x67642),x67643),f14(x67642,f238(x67642),x67641)))+P107(f328(f328(f330(x67642),x67643),x67641))
% 28.33/28.23 [6765]~P109(x67652)+E(x67651,f190(f918(x67652,a905)))+~P107(f328(f64(x67652),x67651))+E(f15(x67652,f243(x67652),f328(f328(f310(x67652),x67653),x67651)),f328(f328(f243(x67652),x67653),f15(x67652,f243(x67652),x67651)))+P107(f328(f328(f330(x67652),x67653),x67651))
% 28.33/28.23 [7194]~P109(x71942)+E(f328(f328(f243(x71942),f17(x71942,x71941)),f17(x71942,x71943)),f17(x71942,x71943))+E(x71941,f190(f918(x71942,a905)))+~P107(f328(f64(x71942),x71943))+~P107(f328(f328(f239(f918(x71942,a905)),x71941),x71943))
% 28.33/28.23 [7195]~P109(x71952)+E(f328(f328(f238(x71952),f16(x71952,x71951)),f16(x71952,x71953)),f16(x71952,x71953))+E(x71951,f190(f918(x71952,a905)))+~P107(f328(f64(x71952),x71953))+~P107(f328(f328(f239(f918(x71952,a905)),x71951),x71953))
% 28.33/28.23 [7196]~P101(x71962)+E(f328(f328(f105(x71962),f12(x71962,x71961)),f12(x71962,x71963)),f12(x71962,x71963))+E(x71961,f190(f918(x71962,a905)))+~P107(f328(f64(x71962),x71963))+~P107(f328(f328(f239(f918(x71962,a905)),x71961),x71963))
% 28.33/28.23 [7197]~P101(x71972)+E(f328(f328(f106(x71972),f13(x71972,x71971)),f13(x71972,x71973)),f13(x71972,x71973))+E(x71971,f190(f918(x71972,a905)))+~P107(f328(f64(x71972),x71973))+~P107(f328(f328(f239(f918(x71972,a905)),x71971),x71973))
% 28.33/28.23 [7506]~P109(x75062)+E(x75061,f190(f918(x75062,a905)))+~P107(f328(f64(x75062),x75063))+P107(f328(f328(f239(x75062),f16(x75062,x75061)),f16(x75062,x75063)))+~P107(f328(f328(f239(f918(x75062,a905)),x75061),x75063))
% 28.33/28.23 [7507]~P109(x75072)+E(x75071,f190(f918(x75072,a905)))+~P107(f328(f64(x75072),x75073))+P107(f328(f328(f239(x75072),f17(x75072,x75073)),f17(x75072,x75071)))+~P107(f328(f328(f239(f918(x75072,a905)),x75071),x75073))
% 28.33/28.23 [7563]~P101(x75631)+E(f13(x75631,x75632),x75633)+~P107(f328(f64(x75631),x75632))+~E(f328(f328(f3(f918(x75631,a905)),x75632),f328(f328(f310(x75631),x75633),f190(f918(x75631,a905)))),f190(f918(x75631,a905)))+~P107(f328(f328(f330(x75631),x75633),x75632))
% 28.33/28.23 [7564]~P101(x75641)+E(f12(x75641,x75642),x75643)+~P107(f328(f64(x75641),x75642))+~E(f328(f328(f3(f918(x75641,a905)),x75642),f328(f328(f310(x75641),x75643),f190(f918(x75641,a905)))),f190(f918(x75641,a905)))+~P107(f328(f328(f330(x75641),x75643),x75642))
% 28.33/28.23 [7565]~P109(x75651)+E(f16(x75651,x75652),x75653)+~P107(f328(f64(x75651),x75652))+~E(f328(f328(f3(f918(x75651,a905)),x75652),f328(f328(f310(x75651),x75653),f190(f918(x75651,a905)))),f190(f918(x75651,a905)))+~P107(f328(f328(f330(x75651),x75653),x75652))
% 28.33/28.23 [7566]~P109(x75661)+E(f17(x75661,x75662),x75663)+~P107(f328(f64(x75661),x75662))+~E(f328(f328(f3(f918(x75661,a905)),x75662),f328(f328(f310(x75661),x75663),f190(f918(x75661,a905)))),f190(f918(x75661,a905)))+~P107(f328(f328(f330(x75661),x75663),x75662))
% 28.33/28.23 [7663]~P109(x76631)+E(f14(x76631,f238(x76631),x76632),x76633)+~P107(f328(f64(x76631),x76632))+~E(f328(f328(f3(f918(x76631,a905)),x76632),f328(f328(f310(x76631),x76633),f190(f918(x76631,a905)))),f190(f918(x76631,a905)))+~P107(f328(f328(f330(x76631),x76633),x76632))
% 28.33/28.23 [7664]~P109(x76641)+E(f15(x76641,f243(x76641),x76642),x76643)+~P107(f328(f64(x76641),x76642))+~E(f328(f328(f3(f918(x76641,a905)),x76642),f328(f328(f310(x76641),x76643),f190(f918(x76641,a905)))),f190(f918(x76641,a905)))+~P107(f328(f328(f330(x76641),x76643),x76642))
% 28.33/28.23 [7699]~P109(x76992)+E(x76991,f190(f918(x76992,a905)))+~P107(f328(f64(x76992),x76991))+~P107(f328(f328(f240(x76992),x76993),f511(x76993,x76991,x76992)))+P107(f328(f328(f240(x76992),x76993),f328(f66(x76992,f243(x76992)),x76991)))
% 28.33/28.23 [7700]~P109(x77002)+E(x77001,f190(f918(x77002,a905)))+~P107(f328(f64(x77002),x77001))+~P107(f328(f328(f239(x77002),x77003),f512(x77003,x77001,x77002)))+P107(f328(f328(f239(x77002),x77003),f328(f66(x77002,f243(x77002)),x77001)))
% 28.33/28.23 [7701]~P104(x77012)+E(x77011,f190(f918(x77012,a905)))+~P107(f328(f64(x77012),x77011))+~P107(f328(f328(f239(x77012),x77013),f513(x77013,x77011,x77012)))+P107(f328(f328(f239(x77012),x77013),f328(f66(x77012,f106(x77012)),x77011)))
% 28.33/28.23 [7787]~P104(x77872)+E(x77871,f190(f918(x77872,a905)))+~P107(f328(f64(x77872),x77871))+P107(f328(f328(f330(x77872),f513(x77873,x77871,x77872)),x77871))+P107(f328(f328(f239(x77872),x77873),f328(f66(x77872,f106(x77872)),x77871)))
% 28.33/28.23 [7788]~P109(x77882)+E(x77881,f190(f918(x77882,a905)))+~P107(f328(f64(x77882),x77881))+P107(f328(f328(f330(x77882),f512(x77883,x77881,x77882)),x77881))+P107(f328(f328(f239(x77882),x77883),f328(f66(x77882,f243(x77882)),x77881)))
% 28.33/28.23 [7789]~P109(x77892)+E(x77891,f190(f918(x77892,a905)))+~P107(f328(f64(x77892),x77891))+P107(f328(f328(f330(x77892),f511(x77893,x77891,x77892)),x77891))+P107(f328(f328(f240(x77892),x77893),f328(f66(x77892,f243(x77892)),x77891)))
% 28.33/28.23 [7911]~P109(x79112)+E(x79111,f190(f918(x79112,a905)))+E(f328(f328(f243(x79112),f15(x79112,f243(x79112),x79111)),f15(x79112,f243(x79112),x79113)),f15(x79112,f243(x79112),x79113))+~P107(f328(f64(x79112),x79113))+~P107(f328(f328(f239(f918(x79112,a905)),x79111),x79113))
% 28.33/28.23 [7912]~P109(x79122)+E(x79121,f190(f918(x79122,a905)))+E(f328(f328(f238(x79122),f14(x79122,f238(x79122),x79121)),f14(x79122,f238(x79122),x79123)),f14(x79122,f238(x79122),x79123))+~P107(f328(f64(x79122),x79123))+~P107(f328(f328(f239(f918(x79122,a905)),x79121),x79123))
% 28.33/28.23 [8116]~E(f644(x81161,x81163,x81162),f641(x81161,x81163,x81162))+~E(f328(f38(x81162),f642(x81161,x81163,x81162)),x81161)+E(f328(f328(f84(a911),x81161),f328(f38(f918(x81162,a905)),x81163)),f328(f38(x81162),f40(f918(x81162,a905),x81163)))+~P107(f328(f64(x81162),f40(f918(x81162,a905),x81163)))+~P107(f328(f64(f918(x81162,a905)),x81163))
% 28.33/28.23 [8302]~P109(x83022)+E(x83021,f190(f918(x83022,a905)))+~P107(f328(f64(x83022),x83023))+P107(f328(f328(f239(x83022),f328(f66(x83022,f243(x83022)),x83023)),f328(f66(x83022,f243(x83022)),x83021)))+~P107(f328(f328(f239(f918(x83022,a905)),x83021),x83023))
% 28.33/28.23 [8607]~E(f644(x86071,x86073,x86072),f641(x86071,x86073,x86072))+E(f328(f328(f84(a911),x86071),f328(f38(f918(x86072,a905)),x86073)),f328(f38(x86072),f40(f918(x86072,a905),x86073)))+P107(f328(f328(f330(f918(x86072,a905)),f642(x86071,x86073,x86072)),x86073))+~P107(f328(f64(x86072),f40(f918(x86072,a905),x86073)))+~P107(f328(f64(f918(x86072,a905)),x86073))
% 28.33/28.23 [8636]~E(f328(f38(x86362),f642(x86361,x86363,x86362)),x86361)+E(f328(f328(f84(a911),x86361),f328(f38(f918(x86362,a905)),x86363)),f328(f38(x86362),f40(f918(x86362,a905),x86363)))+P107(f328(f328(f330(f918(x86362,a905)),f641(x86361,x86363,x86362)),x86363))+~P107(f328(f64(x86362),f40(f918(x86362,a905),x86363)))+~P107(f328(f64(f918(x86362,a905)),x86363))
% 28.33/28.23 [8637]~E(f328(f38(x86372),f642(x86371,x86373,x86372)),x86371)+E(f328(f328(f84(a911),x86371),f328(f38(f918(x86372,a905)),x86373)),f328(f38(x86372),f40(f918(x86372,a905),x86373)))+P107(f328(f328(f330(f918(x86372,a905)),f644(x86371,x86373,x86372)),x86373))+~P107(f328(f64(x86372),f40(f918(x86372,a905),x86373)))+~P107(f328(f64(f918(x86372,a905)),x86373))
% 28.33/28.23 [8664]~E(f328(f38(x86642),f642(x86641,x86643,x86642)),x86641)+~E(f328(f328(f106(f918(x86642,a905)),f641(x86641,x86643,x86642)),f644(x86641,x86643,x86642)),f190(f918(x86642,a905)))+E(f328(f328(f84(a911),x86641),f328(f38(f918(x86642,a905)),x86643)),f328(f38(x86642),f40(f918(x86642,a905),x86643)))+~P107(f328(f64(f918(x86642,a905)),x86643))+~P107(f328(f64(x86642),f40(f918(x86642,a905),x86643)))
% 28.33/28.23 [8916]E(f328(f328(f84(a911),x89161),f328(f38(f918(x89162,a905)),x89163)),f328(f38(x89162),f40(f918(x89162,a905),x89163)))+P107(f328(f328(f330(f918(x89162,a905)),f642(x89161,x89163,x89162)),x89163))+P107(f328(f328(f330(f918(x89162,a905)),f641(x89161,x89163,x89162)),x89163))+~P107(f328(f64(f918(x89162,a905)),x89163))+~P107(f328(f64(x89162),f40(f918(x89162,a905),x89163)))
% 28.33/28.23 [8917]E(f328(f328(f84(a911),x89171),f328(f38(f918(x89172,a905)),x89173)),f328(f38(x89172),f40(f918(x89172,a905),x89173)))+P107(f328(f328(f330(f918(x89172,a905)),f642(x89171,x89173,x89172)),x89173))+P107(f328(f328(f330(f918(x89172,a905)),f644(x89171,x89173,x89172)),x89173))+~P107(f328(f64(f918(x89172,a905)),x89173))+~P107(f328(f64(x89172),f40(f918(x89172,a905),x89173)))
% 28.33/28.23 [8941]~E(f328(f328(f106(f918(x89412,a905)),f641(x89411,x89413,x89412)),f644(x89411,x89413,x89412)),f190(f918(x89412,a905)))+E(f328(f328(f84(a911),x89411),f328(f38(f918(x89412,a905)),x89413)),f328(f38(x89412),f40(f918(x89412,a905),x89413)))+~P107(f328(f64(f918(x89412,a905)),x89413))+P107(f328(f328(f330(f918(x89412,a905)),f642(x89411,x89413,x89412)),x89413))+~P107(f328(f64(x89412),f40(f918(x89412,a905),x89413)))
% 28.33/28.23 [9197]~P97(x91972)+E(x91971,f190(f918(x91972,a905)))+~E(f328(f328(f84(x91972),f328(x91973,f518(x91971,x91973,x91972))),f328(x91973,f522(x91971,x91973,x91972))),f328(x91973,f328(f328(f84(x91972),f518(x91971,x91973,x91972)),f522(x91971,x91973,x91972))))+~P107(f328(f64(x91972),x91971))+E(f328(f66(x91972,f84(x91972)),f328(f311(x91972,x91972,x91973),x91971)),f328(x91973,f328(f66(x91972,f84(x91972)),x91971)))
% 28.33/28.23 [10103]P107(f328(f328(x101031,x101032),x101033))+P107(f328(f328(f240(a1),f891(x101031,x101033,x101032)),f892(x101031,x101033,x101032)))+P107(f328(f328(f239(a1),f892(x101031,x101033,x101032)),f2(a1)))+P107(f328(f328(x101031,f891(x101031,x101033,x101032)),f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f892(x101031,x101033,x101032))))+~P107(f328(f316(f917(a1,a1),a61),f328(f328(f256(a1,a1),x101032),x101033)))
% 28.33/28.23 [10109]P107(f328(f328(x101091,x101092),x101093))+P107(f328(f328(f239(a1),f890(x101091,x101093,x101092)),f2(a1)))+P107(f328(f328(x101091,f889(x101091,x101093,x101092)),f328(f328(f84(a1),f328(f108(a1),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f890(x101091,x101093,x101092))))+P107(f328(f328(f239(a1),f2(a1)),f328(f328(f83(a1),f889(x101091,x101093,x101092)),f890(x101091,x101093,x101092))))+~P107(f328(f316(f917(a1,a1),a55),f328(f328(f256(a1,a1),x101092),x101093)))
% 28.33/28.23 [8086]~P113(x80861)+~P107(f328(f328(f239(x80861),x80862),f81(x80861)))+~P107(f328(f328(f239(x80861),f2(x80861)),x80862))+~P107(f328(f328(f239(x80861),f2(x80861)),x80863))+P107(f328(f328(f239(x80861),f328(f328(f84(x80861),x80862),x80863)),x80863))
% 28.33/28.23 [8087]~P113(x80871)+~P107(f328(f328(f239(x80871),x80873),f81(x80871)))+~P107(f328(f328(f239(x80871),f2(x80871)),x80873))+~P107(f328(f328(f239(x80871),f2(x80871)),x80872))+P107(f328(f328(f239(x80871),f328(f328(f84(x80871),x80872),x80873)),x80872))
% 28.33/28.23 [8451]~P109(x84512)+E(x84511,f190(f918(x84512,a905)))+~P107(f328(f64(x84512),x84511))+P107(f328(f328(f240(x84512),f517(x84513,x84511,x84512)),x84513))+~P107(f328(f328(f240(x84512),f328(f66(x84512,f243(x84512)),x84511)),x84513))
% 28.33/28.23 [8452]~P109(x84522)+E(x84521,f190(f918(x84522,a905)))+~P107(f328(f64(x84522),x84521))+P107(f328(f328(f239(x84522),f516(x84523,x84521,x84522)),x84523))+~P107(f328(f328(f239(x84522),f328(f66(x84522,f243(x84522)),x84521)),x84523))
% 28.33/28.23 [8453]~P109(x84532)+E(x84531,f190(f918(x84532,a905)))+~P107(f328(f64(x84532),x84531))+P107(f328(f328(f330(x84532),f516(x84533,x84531,x84532)),x84531))+~P107(f328(f328(f239(x84532),f328(f66(x84532,f243(x84532)),x84531)),x84533))
% 28.33/28.23 [8454]~P109(x84542)+E(x84541,f190(f918(x84542,a905)))+~P107(f328(f64(x84542),x84541))+P107(f328(f328(f330(x84542),f517(x84543,x84541,x84542)),x84541))+~P107(f328(f328(f240(x84542),f328(f66(x84542,f243(x84542)),x84541)),x84543))
% 28.33/28.23 [8537]~P107(f328(x85371,x85373))+P107(f328(x85371,f454(x85371,x85372)))+P107(f328(x85371,f449(x85371,x85372)))+~P107(f328(f328(f240(a1),f2(a1)),x85372))+P107(f328(x85371,f328(f328(f3(a1),f449(x85371,x85372)),f328(f328(f84(a1),f455(x85371,x85372)),x85372))))
% 28.33/28.23 [8762]~P107(f328(x87621,x87623))+P107(f328(x87621,f449(x87621,x87622)))+~P107(f328(f328(f240(a1),f2(a1)),x87622))+P107(f328(f328(f330(a1),f454(x87621,x87622)),f304(a1,f81(a1),x87622)))+P107(f328(x87621,f328(f328(f3(a1),f449(x87621,x87622)),f328(f328(f84(a1),f455(x87621,x87622)),x87622))))
% 28.33/28.23 [8963]~P107(f328(x89631,x89633))+~P107(f328(x89631,f449(x89631,x89632)))+P107(f328(x89631,f454(x89631,x89632)))+~P107(f328(f328(f240(a1),f2(a1)),x89632))+~P107(f328(x89631,f328(f328(f3(a1),f449(x89631,x89632)),f328(f328(f84(a1),f455(x89631,x89632)),x89632))))
% 28.33/28.23 [9088]~P107(f328(x90881,x90883))+~P107(f328(x90881,f449(x90881,x90882)))+~P107(f328(f328(f240(a1),f2(a1)),x90882))+P107(f328(f328(f330(a1),f454(x90881,x90882)),f304(a1,f81(a1),x90882)))+~P107(f328(x90881,f328(f328(f3(a1),f449(x90881,x90882)),f328(f328(f84(a1),f455(x90881,x90882)),x90882))))
% 28.33/28.23 [8873]~P101(x88731)+~P107(f328(f64(x88731),x88732))+E(f328(f328(f3(f918(x88731,a905)),x88732),f328(f328(f310(x88731),x88733),f190(f918(x88731,a905)))),f190(f918(x88731,a905)))+~P107(f328(f328(f330(x88731),x88733),x88732))+E(f328(f328(f106(x88731),x88733),f13(x88731,f328(f328(f3(f918(x88731,a905)),x88732),f328(f328(f310(x88731),x88733),f190(f918(x88731,a905)))))),f13(x88731,x88732))
% 28.33/28.23 [8874]~P101(x88741)+~P107(f328(f64(x88741),x88742))+E(f328(f328(f3(f918(x88741,a905)),x88742),f328(f328(f310(x88741),x88743),f190(f918(x88741,a905)))),f190(f918(x88741,a905)))+~P107(f328(f328(f330(x88741),x88743),x88742))+E(f328(f328(f105(x88741),x88743),f12(x88741,f328(f328(f3(f918(x88741,a905)),x88742),f328(f328(f310(x88741),x88743),f190(f918(x88741,a905)))))),f12(x88741,x88742))
% 28.33/28.23 [8875]~P109(x88751)+~P107(f328(f64(x88751),x88752))+E(f328(f328(f3(f918(x88751,a905)),x88752),f328(f328(f310(x88751),x88753),f190(f918(x88751,a905)))),f190(f918(x88751,a905)))+~P107(f328(f328(f330(x88751),x88753),x88752))+E(f328(f328(f238(x88751),x88753),f16(x88751,f328(f328(f3(f918(x88751,a905)),x88752),f328(f328(f310(x88751),x88753),f190(f918(x88751,a905)))))),f16(x88751,x88752))
% 28.33/28.23 [8876]~P109(x88761)+~P107(f328(f64(x88761),x88762))+E(f328(f328(f3(f918(x88761,a905)),x88762),f328(f328(f310(x88761),x88763),f190(f918(x88761,a905)))),f190(f918(x88761,a905)))+~P107(f328(f328(f330(x88761),x88763),x88762))+E(f328(f328(f243(x88761),x88763),f17(x88761,f328(f328(f3(f918(x88761,a905)),x88762),f328(f328(f310(x88761),x88763),f190(f918(x88761,a905)))))),f17(x88761,x88762))
% 28.33/28.23 [8936]~P109(x89361)+~P107(f328(f64(x89361),x89362))+E(f328(f328(f3(f918(x89361,a905)),x89362),f328(f328(f310(x89361),x89363),f190(f918(x89361,a905)))),f190(f918(x89361,a905)))+~P107(f328(f328(f330(x89361),x89363),x89362))+E(f328(f328(f238(x89361),x89363),f14(x89361,f238(x89361),f328(f328(f3(f918(x89361,a905)),x89362),f328(f328(f310(x89361),x89363),f190(f918(x89361,a905)))))),f14(x89361,f238(x89361),x89362))
% 28.33/28.23 [8937]~P109(x89371)+~P107(f328(f64(x89371),x89372))+E(f328(f328(f3(f918(x89371,a905)),x89372),f328(f328(f310(x89371),x89373),f190(f918(x89371,a905)))),f190(f918(x89371,a905)))+~P107(f328(f328(f330(x89371),x89373),x89372))+E(f328(f328(f243(x89371),x89373),f15(x89371,f243(x89371),f328(f328(f3(f918(x89371,a905)),x89372),f328(f328(f310(x89371),x89373),f190(f918(x89371,a905)))))),f15(x89371,f243(x89371),x89372))
% 28.33/28.23 [8950]~P109(x89501)+~P107(f328(f64(x89501),x89503))+~P107(f328(f64(x89501),x89502))+E(f328(f328(f106(f918(x89501,a905)),x89502),x89503),f190(f918(x89501,a905)))+E(f328(f328(f243(x89501),f17(x89501,f328(f328(f105(f918(x89501,a905)),x89502),x89503))),f17(x89501,f328(f328(f106(f918(x89501,a905)),x89502),x89503))),f328(f328(f243(x89501),f17(x89501,x89502)),f17(x89501,x89503)))
% 28.33/28.23 [8951]~P109(x89511)+~P107(f328(f64(x89511),x89513))+~P107(f328(f64(x89511),x89512))+E(f328(f328(f106(f918(x89511,a905)),x89512),x89513),f190(f918(x89511,a905)))+E(f328(f328(f238(x89511),f16(x89511,f328(f328(f105(f918(x89511,a905)),x89512),x89513))),f16(x89511,f328(f328(f106(f918(x89511,a905)),x89512),x89513))),f328(f328(f238(x89511),f16(x89511,x89512)),f16(x89511,x89513)))
% 28.33/28.23 [8952]~P101(x89521)+~P107(f328(f64(x89521),x89523))+~P107(f328(f64(x89521),x89522))+E(f328(f328(f106(f918(x89521,a905)),x89522),x89523),f190(f918(x89521,a905)))+E(f328(f328(f105(x89521),f12(x89521,f328(f328(f105(f918(x89521,a905)),x89522),x89523))),f12(x89521,f328(f328(f106(f918(x89521,a905)),x89522),x89523))),f328(f328(f105(x89521),f12(x89521,x89522)),f12(x89521,x89523)))
% 28.33/28.23 [8953]~P101(x89531)+~P107(f328(f64(x89531),x89533))+~P107(f328(f64(x89531),x89532))+E(f328(f328(f106(f918(x89531,a905)),x89532),x89533),f190(f918(x89531,a905)))+E(f328(f328(f106(x89531),f13(x89531,f328(f328(f105(f918(x89531,a905)),x89532),x89533))),f13(x89531,f328(f328(f106(f918(x89531,a905)),x89532),x89533))),f328(f328(f106(x89531),f13(x89531,x89532)),f13(x89531,x89533)))
% 28.33/28.23 [9169]~P109(x91691)+~P107(f328(f64(x91691),x91693))+~P107(f328(f64(x91691),x91692))+E(f328(f328(f106(f918(x91691,a905)),x91692),x91693),f190(f918(x91691,a905)))+E(f328(f328(f243(x91691),f15(x91691,f243(x91691),f328(f328(f105(f918(x91691,a905)),x91692),x91693))),f15(x91691,f243(x91691),f328(f328(f106(f918(x91691,a905)),x91692),x91693))),f328(f328(f243(x91691),f15(x91691,f243(x91691),x91692)),f15(x91691,f243(x91691),x91693)))
% 28.33/28.23 [9170]~P109(x91701)+~P107(f328(f64(x91701),x91703))+~P107(f328(f64(x91701),x91702))+E(f328(f328(f106(f918(x91701,a905)),x91702),x91703),f190(f918(x91701,a905)))+E(f328(f328(f238(x91701),f14(x91701,f238(x91701),f328(f328(f105(f918(x91701,a905)),x91702),x91703))),f14(x91701,f238(x91701),f328(f328(f106(f918(x91701,a905)),x91702),x91703))),f328(f328(f238(x91701),f14(x91701,f238(x91701),x91702)),f14(x91701,f238(x91701),x91703)))
% 28.33/28.23 [9954]~P125(x99543)+E(x99541,x99542)+~P107(f328(f328(f239(x99543),f2(x99543)),x99542))+~P107(f328(f328(f239(x99543),f2(x99543)),x99541))+~E(f328(f328(f248(x99543),x99541),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))),f328(f328(f248(x99543),x99542),f328(f108(a911),f328(f328(f83(a1),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)),f328(f328(f3(a1),f328(f328(f83(a1),a86),a86)),a101)))))
% 28.33/28.23 [5217]~P95(x52171)+~P69(x52171)+~E(x52174,f2(x52171))+~E(f328(f108(x52171),x52172),f2(x52171))+E(f328(f108(x52171),x52172),f328(f328(f291(x52171),x52173),x52174))
% 28.33/28.23 [5218]~P95(x52181)+~P69(x52181)+~E(x52183,f2(x52181))+~E(f328(f108(x52181),x52184),f2(x52181))+E(f328(f328(f291(x52181),x52182),x52183),f328(f108(x52181),x52184))
% 28.33/28.23 [5307]~P95(x53072)+~P69(x53072)+~E(x53071,f2(x53072))+~E(f328(f108(x53072),x53074),f2(x53072))+E(x53071,f328(f328(f291(x53072),x53073),f328(f108(x53072),x53074)))
% 28.33/28.23 [5308]~P95(x53081)+~P69(x53081)+~E(x53084,f2(x53081))+~E(f328(f108(x53081),x53083),f2(x53081))+E(f328(f328(f291(x53081),x53082),f328(f108(x53081),x53083)),x53084)
% 28.33/28.23 [5339]~P95(x53391)+~P69(x53391)+~E(x53393,f2(x53391))+E(f328(f108(x53391),x53392),f2(x53391))+~E(f328(f108(x53391),x53392),f328(f328(f291(x53391),x53394),x53393))
% 28.33/28.23 [5340]~P95(x53401)+~P69(x53401)+~E(x53403,f2(x53401))+E(f328(f108(x53401),x53402),f2(x53401))+~E(f328(f328(f291(x53401),x53404),x53403),f328(f108(x53401),x53402))
% 28.33/28.23 [5513]~P95(x55132)+~P69(x55132)+E(x55131,f2(x55132))+~E(f328(f108(x55132),x55133),f2(x55132))+~E(x55131,f328(f328(f291(x55132),x55134),f328(f108(x55132),x55133)))
% 28.33/28.23 [5514]~P95(x55142)+~P69(x55142)+E(x55141,f2(x55142))+~E(f328(f108(x55142),x55143),f2(x55142))+~E(f328(f328(f291(x55142),x55144),f328(f108(x55142),x55143)),x55141)
% 28.33/28.23 [5741]~P95(x57412)+~P69(x57412)+~E(x57411,f2(x57412))+E(x57411,f328(f328(f291(x57412),x57413),f328(f108(x57412),x57414)))+~E(f328(f328(f84(x57412),x57411),f328(f108(x57412),x57414)),x57413)
% 28.33/28.23 [5742]~P95(x57421)+~P69(x57421)+~E(x57424,f2(x57421))+~E(x57422,f328(f328(f84(x57421),x57424),f328(f108(x57421),x57423)))+E(f328(f328(f291(x57421),x57422),f328(f108(x57421),x57423)),x57424)
% 28.33/28.23 [5808]~P95(x58081)+~P69(x58081)+E(f328(f108(x58081),x58082),f2(x58081))+~E(f328(f328(f291(x58081),x58083),f328(f108(x58081),x58082)),x58084)+E(x58083,f328(f328(f84(x58081),x58084),f328(f108(x58081),x58082)))
% 28.33/28.23 [5809]~P95(x58091)+~P69(x58091)+E(f328(f108(x58091),x58092),f2(x58091))+~E(f328(f328(f84(x58091),x58093),f328(f108(x58091),x58092)),x58094)+E(x58093,f328(f328(f291(x58091),x58094),f328(f108(x58091),x58092)))
% 28.33/28.23 [5810]~P95(x58101)+~P69(x58101)+E(f328(f108(x58101),x58102),f2(x58101))+~E(x58103,f328(f328(f291(x58101),x58104),f328(f108(x58101),x58102)))+E(f328(f328(f84(x58101),x58103),f328(f108(x58101),x58102)),x58104)
% 28.33/28.23 [5811]~P95(x58111)+~P69(x58111)+E(f328(f108(x58111),x58112),f2(x58111))+~E(x58113,f328(f328(f84(x58111),x58114),f328(f108(x58111),x58112)))+E(f328(f328(f291(x58111),x58113),f328(f108(x58111),x58112)),x58114)
% 28.33/28.23 [6476]E(f480(x64761,x64762,x64763),x64764)+E(f328(x64761,x64764),f2(a911))+~E(f328(f328(f8(x64763,a911),x64761),x64762),f81(a911))+~P107(f328(f64(x64763),x64762))+~P107(f328(f328(f330(x64763),x64764),x64762))
% 28.33/28.23 [6539]E(f482(x65391,x65392,x65393),x65394)+E(f328(x65391,x65394),f2(a911))+~E(f328(f328(f8(x65393,a911),x65391),x65392),f328(a116,f2(a911)))+~P107(f328(f64(x65393),x65392))+~P107(f328(f328(f330(x65393),x65394),x65392))
% 28.33/28.23 [6648]~P109(x66481)+~P10(x66481)+P107(f328(f328(f240(x66481),x66482),f40(x66481,x66483)))+~P107(f328(f328(f330(x66481),x66484),x66483))+~P107(f328(f328(f240(x66481),x66482),x66484))
% 28.33/28.23 [6821]~P109(x68211)+~P10(x68211)+~P107(f328(f328(f330(x68211),x68214),x68212))+P107(f328(f328(f240(x68211),f41(x68211,x68212)),x68213))+~P107(f328(f328(f240(x68211),x68214),x68213))
% 28.33/28.23 [7075]~P125(x70753)+E(x70751,x70752)+~E(f328(f328(f248(x70753),x70751),f328(a116,x70754)),f328(f328(f248(x70753),x70752),f328(a116,x70754)))+~P107(f328(f328(f239(x70753),f2(x70753)),x70752))+~P107(f328(f328(f239(x70753),f2(x70753)),x70751))
% 28.33/28.23 [7282]~E(f484(x72822,x72823,x72821,x72824),x72824)+~E(f328(x72822,x72824),f81(a911))+E(f328(f328(f8(x72821,a911),x72822),x72823),f81(a911))+~P107(f328(f64(x72821),x72823))+~P107(f328(f328(f330(x72821),x72824),x72823))
% 28.33/28.23 [7289]~P114(x72894)+~P134(x72894)+E(f328(x72891,f381(x72891,x72892,x72893,x72894)),f2(x72894))+~E(f328(f328(f11(x72893,x72894),x72891),x72892),f2(x72894))+~P107(f328(f64(x72893),x72892))
% 28.33/28.23 [7379]~E(f483(x73792,x73793,x73791,x73794),x73794)+~E(f328(x73792,x73794),f328(a116,f2(a911)))+E(f328(f328(f8(x73791,a911),x73792),x73793),f328(a116,f2(a911)))+~P107(f328(f64(x73791),x73793))+~P107(f328(f328(f330(x73791),x73794),x73793))
% 28.33/28.23 [8128]~E(f328(x81282,x81284),f81(a911))+~E(f328(x81282,f484(x81282,x81283,x81281,x81284)),f2(a911))+E(f328(f328(f8(x81281,a911),x81282),x81283),f81(a911))+~P107(f328(f64(x81281),x81283))+~P107(f328(f328(f330(x81281),x81284),x81283))
% 28.33/28.23 [8172]~E(f328(x81722,x81724),f328(a116,f2(a911)))+~E(f328(x81722,f483(x81722,x81723,x81721,x81724)),f2(a911))+E(f328(f328(f8(x81721,a911),x81722),x81723),f328(a116,f2(a911)))+~P107(f328(f64(x81721),x81723))+~P107(f328(f328(f330(x81721),x81724),x81723))
% 28.33/28.23 [8729]~P109(x87291)+~P18(x87291,x87294)+P18(x87291,x87292)+~E(x87292,f328(f328(f153(x87291),x87293),x87294))+~P107(f328(f328(f239(x87291),x87293),f675(x87292,x87291,x87294,x87293)))
% 28.33/28.23 [8766]E(x87661,x87662)+E(f328(f328(f83(a1),f438(x87663,x87662,x87664,x87661)),f439(x87663,x87662,x87664,x87661)),x87661)+~E(f328(f328(f3(a1),x87661),x87664),x87662)+~P107(f328(f328(f240(a1),f2(a1)),x87664))+~P107(f328(f328(f330(a1),x87662),x87663))
% 28.33/28.23 [8767]E(x87671,x87672)+E(f328(f328(f3(a1),f426(x87673,x87672,x87674,x87671)),f427(x87673,x87672,x87674,x87671)),x87671)+~E(f328(f328(f83(a1),x87671),x87674),x87672)+~P107(f328(f328(f240(a1),f2(a1)),x87674))+~P107(f328(f328(f330(a1),x87672),x87673))
% 28.33/28.23 [8948]E(f328(x89481,f880(x89482,x89481,x89483,x89484)),x89482)+P107(f328(f328(f239(a911),x89484),f881(x89482,x89481,x89483,x89484)))+~P107(f328(f328(f239(a1),x89482),f328(x89481,x89483)))+~P107(f328(f328(f240(a911),x89484),x89483))+~P107(f328(f328(f239(a1),f328(x89481,x89484)),x89482))
% 28.33/28.23 [8949]~P109(x89491)+~P18(x89491,x89493)+P18(x89491,x89492)+~E(x89492,f328(f328(f153(x89491),x89494),x89493))+P107(f328(f328(f330(x89491),f675(x89492,x89491,x89493,x89494)),f328(f174(x89491),x89493)))
% 28.33/28.23 [8967]~P114(x89674)+~P134(x89674)+~E(f328(f328(f11(x89671,x89674),x89672),x89673),f2(x89674))+~P107(f328(f64(x89671),x89673))+P107(f328(f328(f330(x89671),f381(x89672,x89673,x89671,x89674)),x89673))
% 28.33/28.23 [9004]~E(f328(x90042,x90044),f81(a911))+E(f328(f328(f8(x90041,a911),x90042),x90043),f81(a911))+~P107(f328(f64(x90041),x90043))+~P107(f328(f328(f330(x90041),x90044),x90043))+P107(f328(f328(f330(x90041),f484(x90042,x90043,x90041,x90044)),x90043))
% 28.33/28.23 [9016]E(x90161,x90162)+~E(f328(f328(f83(a1),x90162),x90164),x90161)+~P107(f328(f328(f240(a1),f2(a1)),x90164))+~P107(f328(f328(f330(a1),x90161),x90163))+P107(f328(f328(f330(a1),f426(x90163,x90161,x90164,x90162)),x90163))
% 28.33/28.23 [9017]E(x90171,x90172)+~E(f328(f328(f3(a1),x90172),x90174),x90171)+~P107(f328(f328(f240(a1),f2(a1)),x90174))+~P107(f328(f328(f330(a1),x90171),x90173))+P107(f328(f328(f330(a1),f438(x90173,x90171,x90174,x90172)),x90173))
% 28.33/28.23 [9019]~E(f328(x90192,x90194),f328(a116,f2(a911)))+E(f328(f328(f8(x90191,a911),x90192),x90193),f328(a116,f2(a911)))+~P107(f328(f64(x90191),x90193))+~P107(f328(f328(f330(x90191),x90194),x90193))+P107(f328(f328(f330(x90191),f483(x90192,x90193,x90191,x90194)),x90193))
% 28.33/28.23 [9024]P65(x90242,x90243,x90244,x90241)+E(x90241,f190(f918(x90242,a905)))+~P107(f328(f64(x90242),x90244))+~P107(f328(f64(x90242),x90241))+P107(f328(f328(f330(x90242),f823(x90243,x90241,x90244,x90242)),x90244))
% 28.33/28.23 [9025]P65(x90252,x90253,x90254,x90251)+E(x90251,f190(f918(x90252,a905)))+~P107(f328(f64(x90252),x90254))+~P107(f328(f64(x90252),x90251))+P107(f328(f328(f330(x90252),f505(x90251,x90254,x90253,x90252)),x90254))
% 28.33/28.23 [9026]P65(x90262,x90263,x90264,x90261)+E(x90261,f190(f918(x90262,a905)))+~P107(f328(f64(x90262),x90264))+~P107(f328(f64(x90262),x90261))+P107(f328(f328(f330(x90262),f824(x90261,x90264,x90263,x90262)),x90264))
% 28.33/28.23 [9100]E(x91001,x91002)+~E(f328(f328(f83(a1),x91002),x91004),x91001)+~P107(f328(f328(f240(a1),f2(a1)),x91004))+~P107(f328(f328(f330(a1),x91001),x91003))+P107(f328(f328(f330(a1),f427(x91003,x91001,x91004,x91002)),f304(a1,f81(a1),x91004)))
% 28.33/28.23 [9101]E(x91011,x91012)+~E(f328(f328(f3(a1),x91012),x91014),x91011)+~P107(f328(f328(f240(a1),f2(a1)),x91014))+~P107(f328(f328(f330(a1),x91011),x91013))+P107(f328(f328(f330(a1),f439(x91013,x91011,x91014,x91012)),f304(a1,f81(a1),x91014)))
% 28.33/28.23 [9175]P107(f328(f328(f239(a911),x91751),f880(x91752,x91753,x91754,x91751)))+~P107(f328(f328(f239(a1),x91752),f328(x91753,x91754)))+P107(f328(f328(f239(a911),x91751),f881(x91752,x91753,x91754,x91751)))+~P107(f328(f328(f240(a911),x91751),x91754))+~P107(f328(f328(f239(a1),f328(x91753,x91751)),x91752))
% 28.33/28.23 [9295]E(f328(x92951,f880(x92952,x92951,x92953,x92954)),x92952)+~P107(f328(f328(f239(a1),x92952),f328(x92951,x92953)))+P107(f328(f328(f240(a911),f881(x92952,x92951,x92953,x92954)),x92953))+~P107(f328(f328(f240(a911),x92954),x92953))+~P107(f328(f328(f239(a1),f328(x92951,x92954)),x92952))
% 28.33/28.23 [9417]~P107(f328(f328(f239(a1),x94172),f328(x94173,x94174)))+P107(f328(f328(f239(a911),x94171),f881(x94172,x94173,x94174,x94171)))+P107(f328(f328(f239(a911),f880(x94172,x94173,x94174,x94171)),x94174))+~P107(f328(f328(f240(a911),x94171),x94174))+~P107(f328(f328(f239(a1),f328(x94173,x94171)),x94172))
% 28.33/28.23 [9418]~P107(f328(f328(f239(a1),x94182),f328(x94183,x94184)))+P107(f328(f328(f239(a911),x94181),f880(x94182,x94183,x94184,x94181)))+P107(f328(f328(f240(a911),f881(x94182,x94183,x94184,x94181)),x94184))+~P107(f328(f328(f240(a911),x94181),x94184))+~P107(f328(f328(f239(a1),f328(x94183,x94181)),x94182))
% 28.33/28.23 [9523]~P107(f328(f328(f239(a1),x95231),f328(x95232,x95233)))+P107(f328(f328(f239(a911),f880(x95231,x95232,x95233,x95234)),x95233))+~P107(f328(f328(f240(a911),x95234),x95233))+~P107(f328(f328(f239(a1),f328(x95232,x95234)),x95231))+P107(f328(f328(f240(a911),f881(x95231,x95232,x95233,x95234)),x95233))
% 28.33/28.23 [9608]E(x96081,f190(f918(x96082,a905)))+~P107(f328(f64(x96082),x96084))+~P107(f328(f64(x96082),x96081))+P107(f328(f328(f330(f917(f918(x96082,a905),f918(x96082,a905))),f328(f328(f256(f918(x96082,a905),f918(x96082,a905)),x96084),x96081)),f319(x96082,x96083)))+P107(f328(f328(f330(x96082),f507(x96083,x96081,x96084,x96082)),x96084))
% 28.33/28.23 [9609]E(x96091,f190(f918(x96092,a905)))+~P107(f328(f64(x96092),x96094))+~P107(f328(f64(x96092),x96091))+P107(f328(f328(f330(f917(f918(x96092,a905),f918(x96092,a905))),f328(f328(f256(f918(x96092,a905),f918(x96092,a905)),x96094),x96091)),f319(x96092,x96093)))+P107(f328(f328(f330(x96092),f744(x96093,x96091,x96094,x96092)),x96094))
% 28.33/28.23 [10254]E(f328(x102541,f880(x102542,x102541,x102543,x102544)),x102542)+~P107(f328(f328(f239(a1),x102542),f328(x102541,x102543)))+~P107(f328(f328(f239(a1),f328(f79(a1),f328(f328(f3(a1),f328(x102541,f328(f328(f83(a911),f881(x102542,x102541,x102543,x102544)),f81(a911)))),f328(x102541,f881(x102542,x102541,x102543,x102544))))),f81(a1)))+~P107(f328(f328(f240(a911),x102544),x102543))+~P107(f328(f328(f239(a1),f328(x102541,x102544)),x102542))
% 28.33/28.23 [10255]~P107(f328(f328(f239(a1),x102552),f328(x102553,x102554)))+P107(f328(f328(f239(a911),x102551),f880(x102552,x102553,x102554,x102551)))+~P107(f328(f328(f239(a1),f328(f79(a1),f328(f328(f3(a1),f328(x102553,f328(f328(f83(a911),f881(x102552,x102553,x102554,x102551)),f81(a911)))),f328(x102553,f881(x102552,x102553,x102554,x102551))))),f81(a1)))+~P107(f328(f328(f240(a911),x102551),x102554))+~P107(f328(f328(f239(a1),f328(x102553,x102551)),x102552))
% 28.33/28.23 [10256]~P107(f328(f328(f239(a1),x102561),f328(x102562,x102563)))+~P107(f328(f328(f239(a1),f328(f79(a1),f328(f328(f3(a1),f328(x102562,f328(f328(f83(a911),f881(x102561,x102562,x102563,x102564)),f81(a911)))),f328(x102562,f881(x102561,x102562,x102563,x102564))))),f81(a1)))+~P107(f328(f328(f240(a911),x102564),x102563))+~P107(f328(f328(f239(a1),f328(x102562,x102564)),x102561))+P107(f328(f328(f239(a911),f880(x102561,x102562,x102563,x102564)),x102563))
% 28.33/28.23 [5765]~P95(x57652)+~P69(x57652)+E(x57651,f2(x57652))+~E(f328(f328(f291(x57652),x57653),x57651),f328(f108(x57652),x57654))+E(x57653,f328(f328(f84(x57652),f328(f108(x57652),x57654)),x57651))
% 28.33/28.23 [5766]~P95(x57662)+~P69(x57662)+E(x57661,f2(x57662))+~E(f328(f108(x57662),x57663),f328(f328(f291(x57662),x57664),x57661))+E(f328(f328(f84(x57662),f328(f108(x57662),x57663)),x57661),x57664)
% 28.33/28.23 [5921]~P95(x59212)+~P69(x59212)+E(x59211,f2(x59212))+E(f328(f108(x59212),x59213),f328(f328(f291(x59212),x59214),x59211))+~E(f328(f328(f84(x59212),f328(f108(x59212),x59213)),x59211),x59214)
% 28.33/28.23 [5922]~P95(x59222)+~P69(x59222)+E(x59221,f2(x59222))+E(f328(f328(f291(x59222),x59223),x59221),f328(f108(x59222),x59224))+~E(x59223,f328(f328(f84(x59222),f328(f108(x59222),x59224)),x59221))
% 28.33/28.23 [6050]~P95(x60501)+~P69(x60501)+~E(f328(f108(x60501),x60502),f2(x60501))+E(f328(f108(x60501),x60502),f328(f328(f291(x60501),x60503),x60504))+~E(f328(f328(f84(x60501),f328(f108(x60501),x60502)),x60504),x60503)
% 28.33/28.23 [6051]~P95(x60511)+~P69(x60511)+~E(f328(f108(x60511),x60514),f2(x60511))+E(f328(f328(f291(x60511),x60512),x60513),f328(f108(x60511),x60514))+~E(x60512,f328(f328(f84(x60511),f328(f108(x60511),x60514)),x60513))
% 28.33/28.23 [7342]~P71(x73421)+P107(f328(f328(f240(x73421),x73422),f2(x73421)))+~P107(f328(f328(f240(x73421),x73423),f2(x73421)))+P107(f328(f328(f240(x73421),f2(x73421)),x73422))+P107(f328(f328(f240(x73421),x73423),f328(f328(f291(x73421),x73424),x73422)))
% 28.33/28.23 [7343]~P71(x73431)+P107(f328(f328(f240(x73431),x73432),f2(x73431)))+~P107(f328(f328(f239(x73431),x73433),f2(x73431)))+P107(f328(f328(f240(x73431),f2(x73431)),x73432))+P107(f328(f328(f239(x73431),x73433),f328(f328(f291(x73431),x73434),x73432)))
% 28.33/28.23 [7604]~P71(x76041)+P107(f328(f328(f240(x76041),x76042),f2(x76041)))+P107(f328(f328(f240(x76041),x76043),f2(x76041)))+P107(f328(f328(f240(x76041),f2(x76041)),x76043))+~P107(f328(f328(f240(x76041),x76042),f328(f328(f291(x76041),x76044),x76043)))
% 28.33/28.23 [7605]~P71(x76051)+P107(f328(f328(f240(x76051),x76052),f2(x76051)))+P107(f328(f328(f239(x76051),x76053),f2(x76051)))+P107(f328(f328(f240(x76051),f2(x76051)),x76052))+~P107(f328(f328(f239(x76051),x76053),f328(f328(f291(x76051),x76054),x76052)))
% 28.33/28.23 [7719]E(x77191,x77192)+~E(f328(f328(f166(x77193),x77194),x77191),f328(f328(f166(x77193),x77194),x77192))+~P107(f328(f139(x77193),x77194))+~P107(f328(f328(f240(a911),x77192),f328(f191(f912(x77193)),x77194)))+~P107(f328(f328(f240(a911),x77191),f328(f191(f912(x77193)),x77194)))
% 28.33/28.23 [7720]E(x77201,x77202)+~E(f328(f328(f166(x77203),x77204),x77201),f328(f328(f166(x77203),x77204),x77202))+~P107(f328(f139(x77203),x77204))+~P107(f328(f328(f240(a911),x77202),f328(f191(f912(x77203)),x77204)))+~P107(f328(f328(f240(a911),x77201),f328(f191(f912(x77203)),x77204)))
% 28.33/28.23 [8088]~P71(x80881)+~P107(f328(f328(f240(x80881),x80883),f2(x80881)))+P107(f328(f328(f240(x80881),f2(x80881)),x80882))+~P107(f328(f328(f240(x80881),x80884),f328(f328(f84(x80881),x80883),x80882)))+P107(f328(f328(f240(x80881),x80883),f328(f328(f291(x80881),x80884),x80882)))
% 28.33/28.23 [8089]~P71(x80891)+~P107(f328(f328(f239(x80891),x80893),f2(x80891)))+P107(f328(f328(f240(x80891),f2(x80891)),x80892))+~P107(f328(f328(f239(x80891),x80894),f328(f328(f84(x80891),x80893),x80892)))+P107(f328(f328(f239(x80891),x80893),f328(f328(f291(x80891),x80894),x80892)))
% 28.33/28.23 [8090]~P71(x80901)+~P107(f328(f328(f240(x80901),x80902),f2(x80901)))+P107(f328(f328(f240(x80901),f2(x80901)),x80902))+~P107(f328(f328(f240(x80901),x80904),f328(f328(f84(x80901),x80903),x80902)))+P107(f328(f328(f240(x80901),x80903),f328(f328(f291(x80901),x80904),x80902)))
% 28.33/28.23 [8091]~P71(x80911)+~P107(f328(f328(f240(x80911),x80912),f2(x80911)))+P107(f328(f328(f240(x80911),f2(x80911)),x80912))+~P107(f328(f328(f240(x80911),x80914),f328(f328(f291(x80911),x80913),x80912)))+P107(f328(f328(f240(x80911),x80913),f328(f328(f84(x80911),x80914),x80912)))
% 28.33/28.23 [8092]~P71(x80921)+~P107(f328(f328(f240(x80921),x80922),f2(x80921)))+P107(f328(f328(f240(x80921),f2(x80921)),x80922))+~P107(f328(f328(f239(x80921),x80924),f328(f328(f84(x80921),x80923),x80922)))+P107(f328(f328(f239(x80921),x80923),f328(f328(f291(x80921),x80924),x80922)))
% 28.33/28.23 [8093]~P71(x80931)+~P107(f328(f328(f240(x80931),x80932),f2(x80931)))+P107(f328(f328(f240(x80931),f2(x80931)),x80932))+~P107(f328(f328(f239(x80931),x80934),f328(f328(f291(x80931),x80933),x80932)))+P107(f328(f328(f239(x80931),x80933),f328(f328(f84(x80931),x80934),x80932)))
% 28.33/28.23 [8243]~P109(x82431)+~P18(x82431,x82432)+~P107(f328(f328(f239(a911),x82433),x82434))+P107(f328(f328(f239(x82431),f328(f328(f166(x82431),x82432),x82433)),f328(f328(f166(x82431),x82432),x82434)))+~P107(f328(f328(f240(a911),x82434),f328(f191(f912(x82431)),x82432)))
% 28.33/28.23 [8244]~P109(x82441)+~P18(x82441,x82442)+~P107(f328(f328(f239(a911),x82443),x82444))+P107(f328(f328(f239(x82441),f328(f328(f166(x82441),x82442),x82443)),f328(f328(f166(x82441),x82442),x82444)))+~P107(f328(f328(f240(a911),x82444),f328(f191(f912(x82441)),x82442)))
% 28.33/28.23 [8293]~P125(x82931)+~P107(f328(f328(f240(x82931),x82932),f81(x82931)))+~P107(f328(f328(f240(x82931),f2(x82931)),x82932))+~P107(f328(f328(f240(a911),x82934),x82933))+P107(f328(f328(f240(x82931),f328(f328(f248(x82931),x82932),x82933)),f328(f328(f248(x82931),x82932),x82934)))
% 28.33/28.23 [8294]~P125(x82941)+~P107(f328(f328(f239(x82941),x82942),f81(x82941)))+~P107(f328(f328(f239(x82941),f2(x82941)),x82942))+~P107(f328(f328(f239(a911),x82944),x82943))+P107(f328(f328(f239(x82941),f328(f328(f248(x82941),x82942),x82943)),f328(f328(f248(x82941),x82942),x82944)))
% 28.33/28.23 [8295]~P125(x82951)+~P107(f328(f328(f239(x82951),f2(x82951)),x82952))+~P107(f328(f328(f240(a911),f2(a911)),x82953))+~P107(f328(f328(f240(x82951),x82952),x82954))+P107(f328(f328(f240(x82951),f328(f328(f248(x82951),x82952),x82953)),f328(f328(f248(x82951),x82954),x82953)))
% 28.33/28.23 [8314]~P109(x83141)+~P18(x83141,f328(f170(x83141),x83142))+~P107(f328(f328(f239(a911),x83144),x83143))+P107(f328(f328(f239(x83141),f328(f328(f166(x83141),x83142),x83143)),f328(f328(f166(x83141),x83142),x83144)))+~P107(f328(f328(f240(a911),x83143),f328(f191(f912(x83141)),x83142)))
% 28.33/28.23 [8560]~P72(x85601)+~P107(f328(f328(f240(x85601),x85602),f2(x85601)))+~P107(f328(f328(f240(x85601),x85603),x85604))+~P107(f328(f328(f240(x85601),f2(x85601)),f328(f328(f84(x85601),x85603),x85604)))+P107(f328(f328(f240(x85601),f328(f328(f291(x85601),x85602),x85603)),f328(f328(f291(x85601),x85602),x85604)))
% 28.33/28.23 [8561]~P71(x85611)+~P107(f328(f328(f239(x85611),x85612),f2(x85611)))+~P107(f328(f328(f239(x85611),x85613),x85614))+~P107(f328(f328(f240(x85611),f2(x85611)),f328(f328(f84(x85611),x85613),x85614)))+P107(f328(f328(f239(x85611),f328(f328(f291(x85611),x85612),x85613)),f328(f328(f291(x85611),x85612),x85614)))
% 28.33/28.23 [8570]~P72(x85701)+~P107(f328(f328(f240(x85701),x85704),x85703))+~P107(f328(f328(f240(x85701),f2(x85701)),x85702))+~P107(f328(f328(f240(x85701),f2(x85701)),f328(f328(f84(x85701),x85703),x85704)))+P107(f328(f328(f240(x85701),f328(f328(f291(x85701),x85702),x85703)),f328(f328(f291(x85701),x85702),x85704)))
% 28.33/28.23 [8571]~P72(x85711)+~P107(f328(f328(f239(x85711),x85714),x85713))+~P107(f328(f328(f239(x85711),f2(x85711)),x85712))+~P107(f328(f328(f240(x85711),f2(x85711)),f328(f328(f84(x85711),x85713),x85714)))+P107(f328(f328(f239(x85711),f328(f328(f291(x85711),x85712),x85713)),f328(f328(f291(x85711),x85712),x85714)))
% 28.33/28.23 [8680]P107(f328(x86801,x86802))+~P107(f328(f64(x86804),x86802))+P107(f328(x86801,f471(x86801,x86803,x86802,x86804)))+~P107(f328(x86801,f190(f918(x86804,a905))))+~P107(f328(f328(f239(f918(x86804,a905)),x86802),x86803))
% 28.33/28.23 [8688]P107(f328(x86881,x86882))+P107(f328(f64(x86883),f471(x86881,x86884,x86882,x86883)))+~P107(f328(f64(x86883),x86882))+~P107(f328(x86881,f190(f918(x86883,a905))))+~P107(f328(f328(f239(f918(x86883,a905)),x86882),x86884))
% 28.33/28.23 [8943]E(f328(f328(f83(a1),f440(x89431,x89432,x89433,x89434)),f441(x89431,x89432,x89433,x89434)),x89434)+~P107(f328(f328(f240(a1),f2(a1)),x89433))+~P107(f328(f328(f240(a1),x89432),x89434))+~P107(f328(f328(f330(a1),x89432),x89431))+P107(f328(f328(f240(a1),x89432),f328(f328(f3(a1),x89434),x89433)))
% 28.33/28.23 [9156]~P107(f328(f328(f240(a1),f2(a1)),x91563))+~P107(f328(f328(f240(a1),x91562),x91564))+~P107(f328(f328(f330(a1),x91562),x91561))+P107(f328(f328(f330(a1),f440(x91561,x91562,x91563,x91564)),x91561))+P107(f328(f328(f240(a1),x91562),f328(f328(f3(a1),x91564),x91563)))
% 28.33/28.23 [9168]P107(f328(x91681,x91682))+~P107(f328(f64(x91683),x91682))+P107(f328(f328(f330(x91683),f472(x91681,x91684,x91682,x91683)),x91684))+~P107(f328(x91681,f190(f918(x91683,a905))))+~P107(f328(f328(f239(f918(x91683,a905)),x91682),x91684))
% 28.33/28.23 [9185]E(f328(f328(f83(a1),f428(x91851,x91852,x91853,x91854)),f429(x91851,x91852,x91853,x91854)),x91854)+~P107(f328(f328(f240(a1),f2(a1)),x91853))+~P107(f328(f328(f239(a1),x91852),x91854))+P107(f328(f328(f239(a1),x91852),f328(f328(f3(a1),x91854),x91853)))+~P107(f328(f328(f330(a1),f328(f328(f3(a1),x91852),f81(a1))),x91851))
% 28.33/28.23 [9238]~P107(f328(f328(f240(a1),f2(a1)),x92383))+~P107(f328(f328(f240(a1),x92381),x92382))+~P107(f328(f328(f330(a1),x92381),x92384))+P107(f328(f328(f330(a1),f441(x92384,x92381,x92383,x92382)),f304(a1,f81(a1),x92383)))+P107(f328(f328(f240(a1),x92381),f328(f328(f3(a1),x92382),x92383)))
% 28.33/28.23 [9270]~P76(x92702)+~E(f806(x92703,x92704,x92701,x92702),f807(x92703,x92704,x92701,x92702))+~P107(f328(f64(x92701),f808(x92703,x92704,x92701,x92702)))+E(f328(f328(f8(f918(x92701,a905),x92702),f328(f8(x92701,x92702),x92703)),x92704),f328(f328(f8(x92701,x92702),x92703),f40(f918(x92701,a905),x92704)))+~P107(f328(f64(f918(x92701,a905)),x92704))
% 28.33/28.23 [9275]~P76(x92752)+~E(f328(x92753,f809(x92753,x92754,x92751,x92752)),f2(x92752))+~P107(f328(f64(x92751),f808(x92753,x92754,x92751,x92752)))+E(f328(f328(f8(f918(x92751,a905),x92752),f328(f8(x92751,x92752),x92753)),x92754),f328(f328(f8(x92751,x92752),x92753),f40(f918(x92751,a905),x92754)))+~P107(f328(f64(f918(x92751,a905)),x92754))
% 28.33/28.23 [9339]~P107(f328(f328(f240(a1),f2(a1)),x93393))+~P107(f328(f328(f239(a1),x93392),x93394))+P107(f328(f328(f330(a1),f428(x93391,x93392,x93393,x93394)),x93391))+P107(f328(f328(f239(a1),x93392),f328(f328(f3(a1),x93394),x93393)))+~P107(f328(f328(f330(a1),f328(f328(f3(a1),x93392),f81(a1))),x93391))
% 28.33/28.23 [9378]~P107(f328(f328(f240(a1),f2(a1)),x93783))+~P107(f328(f328(f239(a1),x93781),x93782))+P107(f328(f328(f330(a1),f429(x93784,x93781,x93783,x93782)),f304(a1,f81(a1),x93783)))+P107(f328(f328(f239(a1),x93781),f328(f328(f3(a1),x93782),x93783)))+~P107(f328(f328(f330(a1),f328(f328(f3(a1),x93781),f81(a1))),x93784))
% 28.33/28.23 [9398]~P76(x93982)+~E(f806(x93983,x93984,x93981,x93982),f807(x93983,x93984,x93981,x93982))+E(f328(f328(f8(f918(x93981,a905),x93982),f328(f8(x93981,x93982),x93983)),x93984),f328(f328(f8(x93981,x93982),x93983),f40(f918(x93981,a905),x93984)))+P107(f328(f328(f330(f918(x93981,a905)),f808(x93983,x93984,x93981,x93982)),x93984))+~P107(f328(f64(f918(x93981,a905)),x93984))
% 28.33/28.23 [9403]~P76(x94032)+~E(f328(x94033,f809(x94033,x94034,x94031,x94032)),f2(x94032))+E(f328(f328(f8(f918(x94031,a905),x94032),f328(f8(x94031,x94032),x94033)),x94034),f328(f328(f8(x94031,x94032),x94033),f40(f918(x94031,a905),x94034)))+P107(f328(f328(f330(f918(x94031,a905)),f808(x94033,x94034,x94031,x94032)),x94034))+~P107(f328(f64(f918(x94031,a905)),x94034))
% 28.33/28.23 [9501]~P76(x95012)+~P107(f328(f64(x95011),f808(x95013,x95014,x95011,x95012)))+E(f328(f328(f8(f918(x95011,a905),x95012),f328(f8(x95011,x95012),x95013)),x95014),f328(f328(f8(x95011,x95012),x95013),f40(f918(x95011,a905),x95014)))+P107(f328(f328(f330(f918(x95011,a905)),f807(x95013,x95014,x95011,x95012)),x95014))+~P107(f328(f64(f918(x95011,a905)),x95014))
% 28.33/28.23 [9502]~P76(x95022)+~P107(f328(f64(x95021),f808(x95023,x95024,x95021,x95022)))+E(f328(f328(f8(f918(x95021,a905),x95022),f328(f8(x95021,x95022),x95023)),x95024),f328(f328(f8(x95021,x95022),x95023),f40(f918(x95021,a905),x95024)))+P107(f328(f328(f330(f918(x95021,a905)),f806(x95023,x95024,x95021,x95022)),x95024))+~P107(f328(f64(f918(x95021,a905)),x95024))
% 28.33/28.23 [9579]~P76(x95792)+E(f328(f328(f8(f918(x95791,a905),x95792),f328(f8(x95791,x95792),x95793)),x95794),f328(f328(f8(x95791,x95792),x95793),f40(f918(x95791,a905),x95794)))+P107(f328(f328(f330(f918(x95791,a905)),f808(x95793,x95794,x95791,x95792)),x95794))+P107(f328(f328(f330(f918(x95791,a905)),f807(x95793,x95794,x95791,x95792)),x95794))+~P107(f328(f64(f918(x95791,a905)),x95794))
% 28.33/28.23 [9580]~P76(x95802)+E(f328(f328(f8(f918(x95801,a905),x95802),f328(f8(x95801,x95802),x95803)),x95804),f328(f328(f8(x95801,x95802),x95803),f40(f918(x95801,a905),x95804)))+P107(f328(f328(f330(f918(x95801,a905)),f808(x95803,x95804,x95801,x95802)),x95804))+P107(f328(f328(f330(f918(x95801,a905)),f806(x95803,x95804,x95801,x95802)),x95804))+~P107(f328(f64(f918(x95801,a905)),x95804))
% 28.33/28.23 [9597]~P76(x95972)+P107(f328(f328(f330(x95971),f809(x95973,x95974,x95971,x95972)),f807(x95973,x95974,x95971,x95972)))+~P107(f328(f64(x95971),f808(x95973,x95974,x95971,x95972)))+E(f328(f328(f8(f918(x95971,a905),x95972),f328(f8(x95971,x95972),x95973)),x95974),f328(f328(f8(x95971,x95972),x95973),f40(f918(x95971,a905),x95974)))+~P107(f328(f64(f918(x95971,a905)),x95974))
% 28.33/28.23 [9598]~P76(x95982)+P107(f328(f328(f330(x95981),f809(x95983,x95984,x95981,x95982)),f806(x95983,x95984,x95981,x95982)))+~P107(f328(f64(x95981),f808(x95983,x95984,x95981,x95982)))+E(f328(f328(f8(f918(x95981,a905),x95982),f328(f8(x95981,x95982),x95983)),x95984),f328(f328(f8(x95981,x95982),x95983),f40(f918(x95981,a905),x95984)))+~P107(f328(f64(f918(x95981,a905)),x95984))
% 28.33/28.23 [9611]P107(f328(x96111,x96112))+~P107(f328(f328(f330(x96113),f472(x96111,x96114,x96112,x96113)),f471(x96111,x96114,x96112,x96113)))+~P107(f328(f64(x96113),x96112))+~P107(f328(x96111,f190(f918(x96113,a905))))+~P107(f328(f328(f239(f918(x96113,a905)),x96112),x96114))
% 28.33/28.23 [9647]~P76(x96472)+P107(f328(f328(f330(x96471),f809(x96473,x96474,x96471,x96472)),f807(x96473,x96474,x96471,x96472)))+E(f328(f328(f8(f918(x96471,a905),x96472),f328(f8(x96471,x96472),x96473)),x96474),f328(f328(f8(x96471,x96472),x96473),f40(f918(x96471,a905),x96474)))+P107(f328(f328(f330(f918(x96471,a905)),f808(x96473,x96474,x96471,x96472)),x96474))+~P107(f328(f64(f918(x96471,a905)),x96474))
% 28.33/28.23 [9648]~P76(x96482)+P107(f328(f328(f330(x96481),f809(x96483,x96484,x96481,x96482)),f806(x96483,x96484,x96481,x96482)))+E(f328(f328(f8(f918(x96481,a905),x96482),f328(f8(x96481,x96482),x96483)),x96484),f328(f328(f8(x96481,x96482),x96483),f40(f918(x96481,a905),x96484)))+P107(f328(f328(f330(f918(x96481,a905)),f808(x96483,x96484,x96481,x96482)),x96484))+~P107(f328(f64(f918(x96481,a905)),x96484))
% 28.33/28.23 [9820]P107(f328(x98201,x98202))+~P107(f328(f64(x98203),x98202))+~P107(f328(x98201,f328(f328(f310(x98203),f472(x98201,x98204,x98202,x98203)),f471(x98201,x98204,x98202,x98203))))+~P107(f328(x98201,f190(f918(x98203,a905))))+~P107(f328(f328(f239(f918(x98203,a905)),x98202),x98204))
% 28.33/28.23 [7854]~P71(x78541)+P107(f328(f328(f240(x78541),x78542),f2(x78541)))+P107(f328(f328(f240(x78541),f2(x78541)),x78542))+~P107(f328(f328(f240(x78541),f2(x78541)),x78544))+P107(f328(f328(f240(x78541),f328(f328(f291(x78541),x78543),x78542)),x78544))
% 28.33/28.23 [7855]~P71(x78551)+P107(f328(f328(f240(x78551),x78552),f2(x78551)))+~P107(f328(f328(f239(x78551),f2(x78551)),x78554))+P107(f328(f328(f240(x78551),f2(x78551)),x78552))+P107(f328(f328(f239(x78551),f328(f328(f291(x78551),x78553),x78552)),x78554))
% 28.33/28.23 [8144]~P107(f328(f328(f239(a1),x81444),f2(a1)))+~E(x81442,f328(f328(f83(a1),f328(f328(f84(a1),x81441),x81443)),x81444))+P107(f328(f328(f240(a1),f2(a1)),x81441))+~P107(f328(f328(f240(a1),x81441),x81444))+P107(f328(f52(x81442,x81441),f328(f328(f256(a1,a1),x81443),x81444)))
% 28.33/28.23 [8183]~P107(f328(x81831,x81834))+P107(f328(x81831,f865(x81832,x81831,x81833)))+~P107(f328(f328(f240(a1),f2(a1)),x81833))+~P107(f328(f328(f239(a1),f2(a1)),x81832))+P107(f328(x81831,f328(f328(f83(a1),x81834),f328(f328(f84(a1),x81832),x81833))))
% 28.33/28.23 [8184]~P107(f328(x81841,x81844))+P107(f328(x81841,f870(x81842,x81841,x81843)))+~P107(f328(f328(f240(a1),f2(a1)),x81843))+~P107(f328(f328(f239(a1),f2(a1)),x81842))+P107(f328(x81841,f328(f328(f3(a1),x81844),f328(f328(f84(a1),x81842),x81843))))
% 28.33/28.23 [8185]~P71(x81851)+P107(f328(f328(f240(x81851),x81852),f2(x81851)))+P107(f328(f328(f240(x81851),f2(x81851)),x81852))+P107(f328(f328(f240(x81851),f2(x81851)),x81853))+~P107(f328(f328(f240(x81851),f328(f328(f291(x81851),x81854),x81852)),x81853))
% 28.33/28.23 [8186]~P71(x81861)+P107(f328(f328(f240(x81861),x81862),f2(x81861)))+P107(f328(f328(f240(x81861),f2(x81861)),x81862))+P107(f328(f328(f239(x81861),f2(x81861)),x81863))+~P107(f328(f328(f239(x81861),f328(f328(f291(x81861),x81864),x81862)),x81863))
% 28.33/28.23 [8239]~E(x82391,f328(f328(f83(a1),f328(f328(f84(a1),x82392),x82393)),x82394))+~P107(f328(f328(f240(a1),f2(a1)),x82392))+~P107(f328(f328(f239(a1),f2(a1)),x82394))+~P107(f328(f328(f240(a1),x82394),x82392))+P107(f328(f52(x82391,x82392),f328(f328(f256(a1,a1),x82393),x82394)))
% 28.33/28.23 [8354]~P71(x83541)+P107(f328(f328(f240(x83541),x83542),f2(x83541)))+~P107(f328(f328(f240(x83541),f2(x83541)),x83544))+~P107(f328(f328(f240(x83541),x83543),f328(f328(f84(x83541),x83544),x83542)))+P107(f328(f328(f240(x83541),f328(f328(f291(x83541),x83543),x83542)),x83544))
% 28.33/28.23 [8355]~P71(x83551)+P107(f328(f328(f240(x83551),x83552),f2(x83551)))+~P107(f328(f328(f239(x83551),f2(x83551)),x83554))+~P107(f328(f328(f239(x83551),x83553),f328(f328(f84(x83551),x83554),x83552)))+P107(f328(f328(f239(x83551),f328(f328(f291(x83551),x83553),x83552)),x83554))
% 28.33/28.23 [8439]~P71(x84391)+P107(f328(f328(f240(x84391),x84392),f2(x84391)))+~P107(f328(f328(f240(x84391),x84393),f2(x84391)))+P107(f328(f328(f240(x84391),x84393),f328(f328(f291(x84391),x84394),x84392)))+~P107(f328(f328(f240(x84391),f328(f328(f84(x84391),x84393),x84392)),x84394))
% 28.33/28.23 [8440]~P71(x84401)+P107(f328(f328(f240(x84401),x84402),f2(x84401)))+~P107(f328(f328(f239(x84401),x84403),f2(x84401)))+P107(f328(f328(f239(x84401),x84403),f328(f328(f291(x84401),x84404),x84402)))+~P107(f328(f328(f239(x84401),f328(f328(f84(x84401),x84403),x84402)),x84404))
% 28.33/28.23 [8596]~P71(x85961)+~P107(f328(f328(f240(x85961),x85962),f2(x85961)))+P107(f328(f328(f240(x85961),f2(x85961)),x85962))+~P107(f328(f328(f240(x85961),f328(f328(f291(x85961),x85964),x85962)),x85963))+P107(f328(f328(f240(x85961),f328(f328(f84(x85961),x85963),x85962)),x85964))
% 28.33/28.23 [8597]~P71(x85971)+~P107(f328(f328(f240(x85971),x85972),f2(x85971)))+P107(f328(f328(f240(x85971),f2(x85971)),x85972))+~P107(f328(f328(f240(x85971),f328(f328(f84(x85971),x85974),x85972)),x85973))+P107(f328(f328(f240(x85971),f328(f328(f291(x85971),x85973),x85972)),x85974))
% 28.33/28.23 [8598]~P71(x85981)+~P107(f328(f328(f240(x85981),x85982),f2(x85981)))+P107(f328(f328(f240(x85981),f2(x85981)),x85982))+~P107(f328(f328(f239(x85981),f328(f328(f291(x85981),x85984),x85982)),x85983))+P107(f328(f328(f239(x85981),f328(f328(f84(x85981),x85983),x85982)),x85984))
% 28.33/28.23 [8599]~P71(x85991)+~P107(f328(f328(f240(x85991),x85992),f2(x85991)))+P107(f328(f328(f240(x85991),f2(x85991)),x85992))+~P107(f328(f328(f239(x85991),f328(f328(f84(x85991),x85994),x85992)),x85993))+P107(f328(f328(f239(x85991),f328(f328(f291(x85991),x85993),x85992)),x85994))
% 28.33/28.23 [8618]~P71(x86181)+~P107(f328(f328(f240(x86181),f2(x86181)),x86184))+P107(f328(f328(f240(x86181),f2(x86181)),x86182))+~P107(f328(f328(f240(x86181),f328(f328(f84(x86181),x86184),x86182)),x86183))+P107(f328(f328(f240(x86181),f328(f328(f291(x86181),x86183),x86182)),x86184))
% 28.33/28.23 [8619]~P71(x86191)+~P107(f328(f328(f239(x86191),f2(x86191)),x86194))+P107(f328(f328(f240(x86191),f2(x86191)),x86192))+~P107(f328(f328(f239(x86191),f328(f328(f84(x86191),x86194),x86192)),x86193))+P107(f328(f328(f239(x86191),f328(f328(f291(x86191),x86193),x86192)),x86194))
% 28.33/28.23 [8674]~P71(x86741)+~P95(x86741)+~P107(f328(f328(f240(x86741),f2(x86741)),x86744))+~P107(f328(f328(f240(x86741),f328(f328(f291(x86741),x86742),x86744)),f328(f108(x86741),x86743)))+P107(f328(f328(f240(x86741),x86742),f328(f328(f84(x86741),f328(f108(x86741),x86743)),x86744)))
% 28.33/28.23 [8675]~P71(x86751)+~P95(x86751)+~P107(f328(f328(f240(x86751),f2(x86751)),x86754))+~P107(f328(f328(f239(x86751),f328(f328(f291(x86751),x86752),x86754)),f328(f108(x86751),x86753)))+P107(f328(f328(f239(x86751),x86752),f328(f328(f84(x86751),f328(f108(x86751),x86753)),x86754)))
% 28.33/28.23 [8681]~P71(x86811)+~P95(x86811)+~P107(f328(f328(f240(x86811),f2(x86811)),x86813))+P107(f328(f328(f240(x86811),f328(f328(f291(x86811),x86812),x86813)),f328(f108(x86811),x86814)))+~P107(f328(f328(f240(x86811),x86812),f328(f328(f84(x86811),f328(f108(x86811),x86814)),x86813)))
% 28.33/28.23 [8682]~P71(x86821)+~P95(x86821)+~P107(f328(f328(f240(x86821),f2(x86821)),x86823))+P107(f328(f328(f239(x86821),f328(f328(f291(x86821),x86822),x86823)),f328(f108(x86821),x86824)))+~P107(f328(f328(f239(x86821),x86822),f328(f328(f84(x86821),f328(f108(x86821),x86824)),x86823)))
% 28.33/28.23 [8696]~P71(x86961)+~P107(f328(f328(f240(x86961),x86964),f2(x86961)))+~P107(f328(f328(f240(x86961),x86963),f328(f328(f84(x86961),x86962),x86964)))+P107(f328(f328(f240(x86961),x86962),f328(f328(f291(x86961),x86963),x86964)))+~P107(f328(f328(f240(x86961),f328(f328(f84(x86961),x86962),x86964)),x86963))
% 28.33/28.23 [8697]~P71(x86971)+~P107(f328(f328(f240(x86971),x86972),f2(x86971)))+~P107(f328(f328(f240(x86971),x86973),f328(f328(f84(x86971),x86972),x86974)))+P107(f328(f328(f240(x86971),x86972),f328(f328(f291(x86971),x86973),x86974)))+~P107(f328(f328(f240(x86971),f328(f328(f84(x86971),x86972),x86974)),x86973))
% 28.33/28.23 [8698]~P71(x86981)+~P107(f328(f328(f240(x86981),x86984),f2(x86981)))+~P107(f328(f328(f239(x86981),x86983),f328(f328(f84(x86981),x86982),x86984)))+P107(f328(f328(f239(x86981),x86982),f328(f328(f291(x86981),x86983),x86984)))+~P107(f328(f328(f239(x86981),f328(f328(f84(x86981),x86982),x86984)),x86983))
% 28.33/28.23 [8699]~P71(x86991)+~P107(f328(f328(f239(x86991),x86992),f2(x86991)))+~P107(f328(f328(f239(x86991),x86993),f328(f328(f84(x86991),x86992),x86994)))+P107(f328(f328(f239(x86991),x86992),f328(f328(f291(x86991),x86993),x86994)))+~P107(f328(f328(f239(x86991),f328(f328(f84(x86991),x86992),x86994)),x86993))
% 28.33/28.23 [8746]~P71(x87461)+~P95(x87461)+~P107(f328(f328(f240(x87461),f2(x87461)),f328(f108(x87461),x87463)))+~P107(f328(f328(f240(x87461),x87462),f328(f328(f291(x87461),x87464),f328(f108(x87461),x87463))))+P107(f328(f328(f240(x87461),f328(f328(f84(x87461),x87462),f328(f108(x87461),x87463))),x87464))
% 28.33/28.23 [8747]~P71(x87471)+~P95(x87471)+~P107(f328(f328(f240(x87471),f2(x87471)),f328(f108(x87471),x87473)))+~P107(f328(f328(f240(x87471),x87472),f328(f328(f84(x87471),x87474),f328(f108(x87471),x87473))))+P107(f328(f328(f240(x87471),f328(f328(f291(x87471),x87472),f328(f108(x87471),x87473))),x87474))
% 28.33/28.23 [8748]~P71(x87481)+~P95(x87481)+~P107(f328(f328(f240(x87481),f2(x87481)),f328(f108(x87481),x87483)))+~P107(f328(f328(f239(x87481),x87482),f328(f328(f291(x87481),x87484),f328(f108(x87481),x87483))))+P107(f328(f328(f239(x87481),f328(f328(f84(x87481),x87482),f328(f108(x87481),x87483))),x87484))
% 28.33/28.23 [8749]~P71(x87491)+~P95(x87491)+~P107(f328(f328(f240(x87491),f2(x87491)),f328(f108(x87491),x87493)))+~P107(f328(f328(f239(x87491),x87492),f328(f328(f84(x87491),x87494),f328(f108(x87491),x87493))))+P107(f328(f328(f239(x87491),f328(f328(f291(x87491),x87492),f328(f108(x87491),x87493))),x87494))
% 28.33/28.23 [8816]~P71(x88161)+~P107(f328(f328(f240(x88161),x88163),f2(x88161)))+~P107(f328(f328(f240(x88161),x88162),f328(f328(f84(x88161),x88164),x88163)))+~P107(f328(f328(f240(x88161),f328(f328(f84(x88161),x88164),x88163)),x88162))+P107(f328(f328(f240(x88161),f328(f328(f291(x88161),x88162),x88163)),x88164))
% 28.33/28.23 [8817]~P71(x88171)+~P107(f328(f328(f240(x88171),x88173),f2(x88171)))+~P107(f328(f328(f239(x88171),x88172),f328(f328(f84(x88171),x88174),x88173)))+~P107(f328(f328(f239(x88171),f328(f328(f84(x88171),x88174),x88173)),x88172))+P107(f328(f328(f239(x88171),f328(f328(f291(x88171),x88172),x88173)),x88174))
% 28.33/28.23 [8833]~P71(x88331)+~P107(f328(f328(f240(x88331),f2(x88331)),x88334))+~P107(f328(f328(f240(x88331),x88332),f328(f328(f84(x88331),x88334),x88333)))+~P107(f328(f328(f240(x88331),f328(f328(f84(x88331),x88334),x88333)),x88332))+P107(f328(f328(f240(x88331),f328(f328(f291(x88331),x88332),x88333)),x88334))
% 28.33/28.23 [8834]~P71(x88341)+~P107(f328(f328(f239(x88341),f2(x88341)),x88344))+~P107(f328(f328(f239(x88341),x88342),f328(f328(f84(x88341),x88344),x88343)))+~P107(f328(f328(f239(x88341),f328(f328(f84(x88341),x88344),x88343)),x88342))+P107(f328(f328(f239(x88341),f328(f328(f291(x88341),x88342),x88343)),x88344))
% 28.33/28.23 [8866]~P71(x88661)+~P95(x88661)+~P107(f328(f328(f240(x88661),f2(x88661)),f328(f108(x88661),x88664)))+P107(f328(f328(f240(x88661),x88662),f328(f328(f84(x88661),x88663),f328(f108(x88661),x88664))))+~P107(f328(f328(f240(x88661),f328(f328(f291(x88661),x88662),f328(f108(x88661),x88664))),x88663))
% 28.33/28.23 [8867]~P71(x88671)+~P95(x88671)+~P107(f328(f328(f240(x88671),f2(x88671)),f328(f108(x88671),x88674)))+P107(f328(f328(f240(x88671),x88672),f328(f328(f291(x88671),x88673),f328(f108(x88671),x88674))))+~P107(f328(f328(f240(x88671),f328(f328(f84(x88671),x88672),f328(f108(x88671),x88674))),x88673))
% 28.33/28.23 [8868]~P71(x88681)+~P95(x88681)+~P107(f328(f328(f240(x88681),f2(x88681)),f328(f108(x88681),x88684)))+P107(f328(f328(f239(x88681),x88682),f328(f328(f84(x88681),x88683),f328(f108(x88681),x88684))))+~P107(f328(f328(f239(x88681),f328(f328(f291(x88681),x88682),f328(f108(x88681),x88684))),x88683))
% 28.33/28.23 [8869]~P71(x88691)+~P95(x88691)+~P107(f328(f328(f240(x88691),f2(x88691)),f328(f108(x88691),x88694)))+P107(f328(f328(f239(x88691),x88692),f328(f328(f291(x88691),x88693),f328(f108(x88691),x88694))))+~P107(f328(f328(f239(x88691),f328(f328(f84(x88691),x88692),f328(f108(x88691),x88694))),x88693))
% 28.33/28.23 [9009]E(f328(f328(f3(a1),f448(x90091,x90092,x90093,x90094)),f442(x90091,x90092,x90093,x90094)),x90094)+~P107(f328(f328(f240(a1),f2(a1)),x90093))+~P107(f328(f328(f240(a1),x90094),x90092))+~P107(f328(f328(f330(a1),x90092),x90091))+P107(f328(f328(f240(a1),f328(f328(f83(a1),x90094),x90093)),x90092))
% 28.33/28.23 [9082]~P107(f328(x90821,x90822))+~P107(f328(f328(f240(a1),f2(a1)),x90824))+~P107(f328(f328(f239(a1),f2(a1)),x90823))+~P107(f328(x90821,f328(f328(f83(a1),f865(x90823,x90821,x90824)),x90824)))+P107(f328(x90821,f328(f328(f83(a1),x90822),f328(f328(f84(a1),x90823),x90824))))
% 28.33/28.23 [9083]~P107(f328(x90831,x90832))+~P107(f328(f328(f240(a1),f2(a1)),x90834))+~P107(f328(f328(f239(a1),f2(a1)),x90833))+~P107(f328(x90831,f328(f328(f3(a1),f870(x90833,x90831,x90834)),x90834)))+P107(f328(x90831,f328(f328(f3(a1),x90832),f328(f328(f84(a1),x90833),x90834))))
% 28.33/28.23 [9232]~P107(f328(f328(f240(a1),f2(a1)),x92323))+~P107(f328(f328(f240(a1),x92324),x92322))+~P107(f328(f328(f330(a1),x92322),x92321))+P107(f328(f328(f330(a1),f448(x92321,x92322,x92323,x92324)),x92321))+P107(f328(f328(f240(a1),f328(f328(f83(a1),x92324),x92323)),x92322))
% 28.33/28.23 [9251]E(f328(f328(f3(a1),f430(x92511,x92512,x92513,x92514)),f431(x92511,x92512,x92513,x92514)),x92514)+~P107(f328(f328(f240(a1),f2(a1)),x92513))+~P107(f328(f328(f239(a1),x92514),x92512))+~P107(f328(f328(f330(a1),f328(f328(f83(a1),x92512),f81(a1))),x92511))+P107(f328(f328(f239(a1),f328(f328(f83(a1),x92514),x92513)),x92512))
% 28.33/28.23 [9287]~P107(f328(f328(f240(a1),f2(a1)),x92872))+~P107(f328(f328(f240(a1),x92871),x92873))+~P107(f328(f328(f330(a1),x92873),x92874))+P107(f328(f328(f330(a1),f442(x92874,x92873,x92872,x92871)),f304(a1,f81(a1),x92872)))+P107(f328(f328(f240(a1),f328(f328(f83(a1),x92871),x92872)),x92873))
% 28.33/28.23 [9372]~P107(f328(f328(f240(a1),f2(a1)),x93723))+~P107(f328(f328(f239(a1),x93724),x93722))+P107(f328(f328(f330(a1),f430(x93721,x93722,x93723,x93724)),x93721))+~P107(f328(f328(f330(a1),f328(f328(f83(a1),x93722),f81(a1))),x93721))+P107(f328(f328(f239(a1),f328(f328(f83(a1),x93724),x93723)),x93722))
% 28.33/28.23 [9413]~P107(f328(f328(f240(a1),f2(a1)),x94132))+~P107(f328(f328(f239(a1),x94131),x94133))+P107(f328(f328(f330(a1),f431(x94134,x94133,x94132,x94131)),f304(a1,f81(a1),x94132)))+~P107(f328(f328(f330(a1),f328(f328(f83(a1),x94133),f81(a1))),x94134))+P107(f328(f328(f239(a1),f328(f328(f83(a1),x94131),x94132)),x94133))
% 28.33/28.23 [9699]~P43(x96991,x96993)+~P32(x96991,x96994)+P43(x96991,f328(f328(f105(f918(f917(x96991,x96991),a905)),x96992),x96993))+~P107(f328(f328(f239(f918(f917(x96991,x96991),a905)),x96992),f328(f255(f918(f917(x96991,x96991),a905),f918(f917(x96991,x96991),a905)),x96994)))+~P107(f328(f328(f239(f918(f917(x96991,x96991),a905)),x96993),f328(f260(f918(f917(x96991,x96991),a905),f918(f917(x96991,x96991),a905)),x96994)))
% 28.33/28.23 [10072]~P23(x100722,x100724,x100723)+E(x100721,f190(f918(x100722,a905)))+~P107(f328(f64(x100722),x100721))+P107(f328(f328(f330(x100722),f328(x100723,x100721)),x100721))+~P107(f328(f328(f330(x100722),f328(f328(x100724,f375(x100721,x100723,x100724,x100722)),f376(x100721,x100723,x100724,x100722))),f328(f328(f310(x100722),f375(x100721,x100723,x100724,x100722)),f328(f328(f310(x100722),f376(x100721,x100723,x100724,x100722)),f190(f918(x100722,a905))))))
% 28.33/28.23 [8856]~P71(x88561)+~P95(x88561)+~P107(f328(f328(f240(x88561),f2(x88561)),x88563))+~P107(f328(f328(f240(x88561),f328(f108(x88561),x88562)),f328(f328(f291(x88561),x88564),x88563)))+P107(f328(f328(f240(x88561),f328(f328(f84(x88561),f328(f108(x88561),x88562)),x88563)),x88564))
% 28.33/28.23 [8857]~P71(x88571)+~P95(x88571)+~P107(f328(f328(f240(x88571),f2(x88571)),x88573))+~P107(f328(f328(f239(x88571),f328(f108(x88571),x88572)),f328(f328(f291(x88571),x88574),x88573)))+P107(f328(f328(f239(x88571),f328(f328(f84(x88571),f328(f108(x88571),x88572)),x88573)),x88574))
% 28.33/28.23 [9012]~P71(x90121)+~P95(x90121)+~P107(f328(f328(f240(x90121),f2(x90121)),x90124))+P107(f328(f328(f240(x90121),f328(f108(x90121),x90122)),f328(f328(f291(x90121),x90123),x90124)))+~P107(f328(f328(f240(x90121),f328(f328(f84(x90121),f328(f108(x90121),x90122)),x90124)),x90123))
% 28.33/28.23 [9013]~P71(x90131)+~P95(x90131)+~P107(f328(f328(f240(x90131),f2(x90131)),x90134))+P107(f328(f328(f239(x90131),f328(f108(x90131),x90132)),f328(f328(f291(x90131),x90133),x90134)))+~P107(f328(f328(f239(x90131),f328(f328(f84(x90131),f328(f108(x90131),x90132)),x90134)),x90133))
% 28.33/28.23 [10007]~P111(x100072)+~P68(x100071)+~P107(f328(f328(f239(f918(x100071,x100072)),x100073),x100074))+P107(f328(f328(f240(f918(x100071,x100072)),x100073),x100074))+~P107(f328(f59(x100071),f328(f328(f10(a905,a905,x100071),a323),f328(f328(f20(x100071,x100072,a905),f328(f328(f10(x100072,f918(x100072,a905),x100071),a325),x100073)),x100074))))
% 28.33/28.23 [9617]~P61(x96171,x96171,x96174)+P107(f328(f328(f330(f917(x96171,x96171)),f328(f328(f256(x96171,x96171),x96172),x96173)),f308(x96171,x96174)))+P107(f328(f328(f330(f917(x96171,x96171)),f328(f328(f256(x96171,x96171),x96173),x96172)),f308(x96171,x96174)))+~P107(f328(f328(f330(f917(x96171,x96171)),f328(f328(f256(x96171,x96171),x96175),x96172)),f308(x96171,x96174)))+~P107(f328(f328(f330(f917(x96171,x96171)),f328(f328(f256(x96171,x96171),x96175),x96173)),f308(x96171,x96174)))
% 28.33/28.23 [5755]E(x57551,f2(a911))+~E(f328(f38(x57552),x57555),x57551)+E(f328(f38(x57552),x57553),f328(a116,x57551))+~E(x57553,f328(f328(f310(x57552),x57554),x57555))+P107(f328(f328(f330(x57552),x57554),x57555))
% 28.33/28.23 [5878]~P70(x58782)+E(x58781,f2(x58782))+E(x58783,f2(x58782))+~E(f328(f328(f291(x58782),x58784),x58783),f328(f328(f291(x58782),x58785),x58781))+E(f328(f328(f84(x58782),x58784),x58781),f328(f328(f84(x58782),x58785),x58783))
% 28.33/28.23 [5879]~P70(x58792)+E(x58791,f2(x58792))+E(x58793,f2(x58792))+~E(f328(f328(f84(x58792),x58794),x58793),f328(f328(f84(x58792),x58795),x58791))+E(f328(f328(f291(x58792),x58794),x58791),f328(f328(f291(x58792),x58795),x58793))
% 28.33/28.23 [5946]~E(f328(f38(x59461),x59465),x59463)+~E(x59465,f190(f918(x59461,a905)))+E(f328(f38(x59461),x59462),f328(a116,x59463))+~E(x59462,f328(f328(f310(x59461),x59464),x59465))+P107(f328(f328(f330(x59461),x59464),x59465))
% 28.33/28.23 [6183]~P114(x61832)+~E(f328(x61833,x61835),f2(x61832))+E(f328(f328(f11(x61831,x61832),x61833),x61834),f2(x61832))+~P107(f328(f64(x61831),x61834))+~P107(f328(f328(f330(x61831),x61835),x61834))
% 28.33/28.23 [6550]~P109(x65503)+E(x65501,x65502)+~E(f328(f303(x65503,x65504),x65501),f328(f303(x65503,x65505),x65502))+~P107(f328(f328(f240(x65503),x65505),x65502))+~P107(f328(f328(f240(x65503),x65504),x65501))
% 28.33/28.23 [6551]~P109(x65513)+E(x65511,x65512)+~E(f328(f303(x65513,x65511),x65514),f328(f303(x65513,x65512),x65515))+~P107(f328(f328(f240(x65513),x65512),x65515))+~P107(f328(f328(f240(x65513),x65511),x65514))
% 28.33/28.23 [6552]~P109(x65523)+E(x65521,x65522)+~E(f328(f303(x65523,x65524),x65521),f328(f303(x65523,x65525),x65522))+~P107(f328(f328(f240(x65523),x65525),x65522))+~P107(f328(f328(f240(x65523),x65524),x65521))
% 28.33/28.23 [6553]~P109(x65533)+E(x65531,x65532)+~E(f328(f303(x65533,x65531),x65534),f328(f303(x65533,x65532),x65535))+~P107(f328(f328(f240(x65533),x65532),x65535))+~P107(f328(f328(f240(x65533),x65531),x65534))
% 28.33/28.23 [7621]~P109(x76211)+~P18(x76211,f328(f328(f136(x76211),x76214),x76215))+~P107(f328(f328(f330(x76211),x76213),f328(f174(x76211),x76215)))+~P107(f328(f328(f330(x76211),x76212),f328(f174(x76211),x76214)))+P107(f328(f328(f239(x76211),x76212),x76213))
% 28.33/28.23 [8731]~P111(x87311)+~P107(f328(f328(f240(f918(x87311,a905)),f304(x87311,x87315,x87312)),f304(x87311,x87314,x87313)))+~P107(f328(f328(f239(x87311),x87315),x87312))+P107(f328(f328(f240(x87311),x87312),x87313))+P107(f328(f328(f240(x87311),x87314),x87315))
% 28.33/28.23 [10115]~P22(x101152,x101155,x101153)+E(x101151,f190(f918(x101152,a905)))+~E(f328(f328(x101155,f328(x101154,f524(x101151,x101154,x101153,x101155,x101152))),f328(x101154,f525(x101151,x101154,x101153,x101155,x101152))),f328(x101154,f328(f328(x101155,f524(x101151,x101154,x101153,x101155,x101152)),f525(x101151,x101154,x101153,x101155,x101152))))+E(f328(x101153,f328(f311(x101152,x101152,x101154),x101151)),f328(x101154,f328(x101153,x101151)))+~P107(f328(f64(x101152),x101151))
% 28.33/28.23 [6549]~P23(x65492,x65495,x65493)+E(x65491,f190(f918(x65492,a905)))+~P107(f328(f64(x65492),x65491))+E(f328(x65493,f328(f328(f310(x65492),x65494),x65491)),f328(f328(x65495,x65494),f328(x65493,x65491)))+P107(f328(f328(f330(x65492),x65494),x65491))
% 28.33/28.23 [7370]~P22(x73702,x73703,x73704)+E(f328(f328(x73703,f328(x73704,x73701)),f328(x73704,x73705)),f328(x73704,x73705))+E(x73701,f190(f918(x73702,a905)))+~P107(f328(f64(x73702),x73705))+~P107(f328(f328(f239(f918(x73702,a905)),x73701),x73705))
% 28.33/28.23 [7753]~P23(x77534,x77535,x77531)+E(f328(x77531,x77532),x77533)+~P107(f328(f64(x77534),x77532))+~E(f328(f328(f3(f918(x77534,a905)),x77532),f328(f328(f310(x77534),x77533),f190(f918(x77534,a905)))),f190(f918(x77534,a905)))+~P107(f328(f328(f330(x77534),x77533),x77532))
% 28.33/28.23 [8703]E(x87031,x87032)+~P13(x87033,x87034,x87035)+E(f328(f328(f106(f918(x87033,a905)),x87031),x87032),f190(f918(x87033,a905)))+~P107(f328(f328(f330(f918(x87033,a905)),x87032),f328(f328(f63(x87033),x87034),x87035)))+~P107(f328(f328(f330(f918(x87033,a905)),x87031),f328(f328(f63(x87033),x87034),x87035)))
% 28.33/28.23 [9158]~P30(x91581,x91583,x91585,x91582)+~P107(f328(f64(x91583),x91584))+~P107(f328(f64(x91581),x91582))+P107(f328(f328(f239(a911),f328(f38(x91581),x91582)),f328(f38(x91583),x91584)))+~P107(f328(f328(f239(f918(x91583,a905)),f328(f311(x91581,x91583,x91585),x91582)),x91584))
% 28.33/28.23 [9494]~P78(x94942)+~E(f328(x94943,f424(x94943,x94944,x94945,x94941,x94942)),f81(x94942))+E(f328(f328(f11(x94941,x94942),x94943),x94944),f328(f328(f11(x94941,x94942),x94943),x94945))+~P107(f328(f64(x94941),x94945))+~P107(f328(f328(f239(f918(x94941,a905)),x94944),x94945))
% 28.33/28.23 [9495]~P78(x94952)+~E(f328(x94953,f425(x94953,x94954,x94955,x94951,x94952)),f81(x94952))+E(f328(f328(f11(x94951,x94952),x94953),x94954),f328(f328(f11(x94951,x94952),x94953),x94955))+~P107(f328(f64(x94951),x94955))+~P107(f328(f328(f239(f918(x94951,a905)),x94954),x94955))
% 28.33/28.23 [9496]~P76(x94962)+~E(f328(x94963,f491(x94963,x94964,x94965,x94961,x94962)),f2(x94962))+E(f328(f328(f8(x94961,x94962),x94963),x94964),f328(f328(f8(x94961,x94962),x94963),x94965))+~P107(f328(f64(x94961),x94965))+~P107(f328(f328(f239(f918(x94961,a905)),x94964),x94965))
% 28.33/28.23 [9497]~P76(x94972)+~E(f328(x94973,f495(x94973,x94974,x94975,x94971,x94972)),f2(x94972))+E(f328(f328(f8(x94971,x94972),x94973),x94974),f328(f328(f8(x94971,x94972),x94973),x94975))+~P107(f328(f64(x94971),x94975))+~P107(f328(f328(f239(f918(x94971,a905)),x94974),x94975))
% 28.33/28.23 [9962]~P88(x99621)+~P107(f328(f64(x99622),x99625))+~P107(f328(f328(f239(x99621),f2(x99621)),f328(x99623,f476(x99623,x99624,x99625,x99622,x99621))))+P107(f328(f328(f239(x99621),f328(f328(f8(x99622,x99621),x99623),x99624)),f328(f328(f8(x99622,x99621),x99623),x99625)))+~P107(f328(f328(f239(f918(x99622,a905)),x99624),x99625))
% 28.33/28.23 [7618]E(x76181,f2(a911))+P107(f328(x76182,x76183))+~E(x76184,f328(f328(f83(a911),f328(f328(f84(a911),x76181),x76183)),x76185))+~P107(f328(f328(f240(a911),x76185),x76181))+~P107(f328(x76182,f328(f328(f39(a911),x76184),x76181)))
% 28.33/28.23 [7693]E(x76931,f2(a911))+P107(f328(x76932,x76933))+~P107(f328(x76932,f48(a911,x76934,x76931)))+~E(x76934,f328(f328(f83(a911),f328(f328(f84(a911),x76931),x76935)),x76933))+~P107(f328(f328(f240(a911),x76933),x76931))
% 28.33/28.23 [7989]~P70(x79893)+E(f328(x79891,x79892),f2(x79893))+~P107(f328(f64(x79894),x79895))+E(f328(f328(f11(x79894,x79893),x79891),f328(f328(f3(f918(x79894,a905)),x79895),f328(f328(f310(x79894),x79892),f190(f918(x79894,a905))))),f328(f328(f11(x79894,x79893),x79891),x79895))+P107(f328(f328(f330(x79894),x79892),x79895))
% 28.33/28.23 [8394]~P78(x83941)+~P107(f328(f64(x83942),x83945))+~P107(f328(f64(x83942),x83944))+~E(f328(f328(f106(f918(x83942,a905)),x83944),x83945),f190(f918(x83942,a905)))+E(f328(f328(f84(x83941),f328(f328(f11(x83942,x83941),x83943),x83944)),f328(f328(f11(x83942,x83941),x83943),x83945)),f328(f328(f11(x83942,x83941),x83943),f328(f328(f105(f918(x83942,a905)),x83944),x83945)))
% 28.33/28.23 [8395]~P78(x83951)+~P107(f328(f64(x83952),x83955))+~P107(f328(f64(x83952),x83954))+~E(f328(f328(f106(f918(x83952,a905)),x83954),x83955),f190(f918(x83952,a905)))+E(f328(f328(f84(x83951),f328(f328(f11(x83952,x83951),x83953),x83954)),f328(f328(f11(x83952,x83951),x83953),x83955)),f328(f328(f11(x83952,x83951),x83953),f328(f328(f105(f918(x83952,a905)),x83954),x83955)))
% 28.33/28.23 [8396]~P76(x83961)+~P107(f328(f64(x83962),x83965))+~P107(f328(f64(x83962),x83964))+~E(f328(f328(f106(f918(x83962,a905)),x83964),x83965),f190(f918(x83962,a905)))+E(f328(f328(f83(x83961),f328(f328(f8(x83962,x83961),x83963),x83964)),f328(f328(f8(x83962,x83961),x83963),x83965)),f328(f328(f8(x83962,x83961),x83963),f328(f328(f105(f918(x83962,a905)),x83964),x83965)))
% 28.33/28.23 [8493]~P70(x84933)+E(f328(x84931,x84932),f2(x84933))+~P107(f328(f64(x84934),x84935))+E(f328(f328(f11(x84934,x84933),x84931),f328(f328(f3(f918(x84934,a905)),x84935),f328(f328(f310(x84934),x84932),f190(f918(x84934,a905))))),f328(f328(f291(x84933),f328(f328(f11(x84934,x84933),x84931),x84935)),f328(x84931,x84932)))+~P107(f328(f328(f330(x84934),x84932),x84935))
% 28.33/28.23 [9027]~P13(x90271,x90275,x90274)+~E(f328(f287(x90271,x90271,x90274),f328(f328(f310(x90271),x90272),f190(f918(x90271,a905)))),f328(f287(x90271,x90271,x90274),f328(f328(f310(x90271),x90273),f190(f918(x90271,a905)))))+~P107(f328(f328(f330(x90271),x90273),x90275))+~P107(f328(f328(f330(x90271),x90272),x90275))+P107(f328(f328(f330(f917(x90271,x90271)),f328(f328(f256(x90271,x90271),x90272),x90273)),x90274))
% 28.33/28.23 [9028]~P13(x90281,x90285,x90284)+~E(f328(f287(x90281,x90281,x90284),f328(f328(f310(x90281),x90282),f190(f918(x90281,a905)))),f328(f287(x90281,x90281,x90284),f328(f328(f310(x90281),x90283),f190(f918(x90281,a905)))))+~P107(f328(f328(f330(x90281),x90283),x90285))+~P107(f328(f328(f330(x90281),x90282),x90285))+P107(f328(f328(f330(f917(x90281,x90281)),f328(f328(f256(x90281,x90281),x90282),x90283)),x90284))
% 28.33/28.23 [9120]~P13(x91201,x91205,x91202)+E(f328(f287(x91201,x91201,x91202),f328(f328(f310(x91201),x91203),f190(f918(x91201,a905)))),f328(f287(x91201,x91201,x91202),f328(f328(f310(x91201),x91204),f190(f918(x91201,a905)))))+~P107(f328(f328(f330(x91201),x91204),x91205))+~P107(f328(f328(f330(x91201),x91203),x91205))+~P107(f328(f328(f330(f917(x91201,x91201)),f328(f328(f256(x91201,x91201),x91203),x91204)),x91202))
% 28.33/28.23 [9209]~P13(x92091,x92095,x92094)+~E(f328(f328(f63(x92091),f328(f328(f310(x92091),x92092),f190(f918(x92091,a905)))),x92094),f328(f328(f63(x92091),f328(f328(f310(x92091),x92093),f190(f918(x92091,a905)))),x92094))+~P107(f328(f328(f330(x92091),x92093),x92095))+~P107(f328(f328(f330(x92091),x92092),x92095))+P107(f328(f328(f330(f917(x92091,x92091)),f328(f328(f256(x92091,x92091),x92092),x92093)),x92094))
% 28.33/28.23 [9231]~P13(x92311,x92315,x92313)+E(f328(f328(f63(x92311),f328(f328(f310(x92311),x92312),f190(f918(x92311,a905)))),x92313),f328(f328(f63(x92311),f328(f328(f310(x92311),x92314),f190(f918(x92311,a905)))),x92313))+~P107(f328(f328(f330(x92311),x92314),x92315))+~P107(f328(f328(f330(x92311),x92312),x92315))+~P107(f328(f328(f330(f917(x92311,x92311)),f328(f328(f256(x92311,x92311),x92312),x92314)),x92313))
% 28.33/28.23 [9522]~P78(x95221)+~P107(f328(f64(x95222),x95225))+~P107(f328(f64(x95222),x95224))+~E(f328(f328(f106(f918(x95222,a905)),x95224),x95225),f190(f918(x95222,a905)))+E(f328(f328(f84(x95221),f328(f328(f328(f68(x95221,x95222,f84(x95221)),x95223),f81(x95221)),x95224)),f328(f328(f328(f68(x95221,x95222,f84(x95221)),x95223),f81(x95221)),x95225)),f328(f328(f328(f68(x95221,x95222,f84(x95221)),x95223),f81(x95221)),f328(f328(f105(f918(x95222,a905)),x95224),x95225)))
% 28.33/28.23 [9531]~P78(x95311)+~E(f328(x95313,f389(x95313,x95315,x95314,x95312,x95311)),f81(x95311))+~P107(f328(f64(x95312),x95314))+~P107(f328(f64(x95312),x95315))+E(f328(f328(f84(x95311),f328(f328(f11(x95312,x95311),x95313),x95314)),f328(f328(f11(x95312,x95311),x95313),x95315)),f328(f328(f11(x95312,x95311),x95313),f328(f328(f105(f918(x95312,a905)),x95314),x95315)))
% 28.33/28.23 [9532]~P78(x95321)+~E(f328(x95323,f391(x95323,x95325,x95324,x95322,x95321)),f81(x95321))+~P107(f328(f64(x95322),x95324))+~P107(f328(f64(x95322),x95325))+E(f328(f328(f84(x95321),f328(f328(f11(x95322,x95321),x95323),x95324)),f328(f328(f11(x95322,x95321),x95323),x95325)),f328(f328(f11(x95322,x95321),x95323),f328(f328(f105(f918(x95322,a905)),x95324),x95325)))
% 28.33/28.23 [9533]~P76(x95331)+~E(f328(x95333,f474(x95333,x95335,x95334,x95332,x95331)),f2(x95331))+~P107(f328(f64(x95332),x95334))+~P107(f328(f64(x95332),x95335))+E(f328(f328(f83(x95331),f328(f328(f8(x95332,x95331),x95333),x95334)),f328(f328(f8(x95332,x95331),x95333),x95335)),f328(f328(f8(x95332,x95331),x95333),f328(f328(f105(f918(x95332,a905)),x95334),x95335)))
% 28.33/28.23 [9534]~P76(x95341)+~E(f328(x95343,f486(x95343,x95345,x95344,x95342,x95341)),f2(x95341))+~P107(f328(f64(x95342),x95344))+~P107(f328(f64(x95342),x95345))+E(f328(f328(f83(x95341),f328(f328(f8(x95342,x95341),x95343),x95344)),f328(f328(f8(x95342,x95341),x95343),x95345)),f328(f328(f8(x95342,x95341),x95343),f328(f328(f105(f918(x95342,a905)),x95344),x95345)))
% 28.33/28.23 [9742]~P78(x97421)+~E(f328(x97423,f403(x97423,x97425,x97424,x97422,x97421)),f81(x97421))+~P107(f328(f64(x97422),x97424))+~P107(f328(f64(x97422),x97425))+E(f328(f328(f84(x97421),f328(f328(f328(f68(x97421,x97422,f84(x97421)),x97423),f81(x97421)),x97424)),f328(f328(f328(f68(x97421,x97422,f84(x97421)),x97423),f81(x97421)),x97425)),f328(f328(f328(f68(x97421,x97422,f84(x97421)),x97423),f81(x97421)),f328(f328(f105(f918(x97422,a905)),x97424),x97425)))
% 28.33/28.23 [9849]~P78(x98492)+E(f328(f328(f11(x98491,x98492),x98493),x98494),f328(f328(f11(x98491,x98492),x98493),x98495))+~P107(f328(f64(x98491),x98495))+~P107(f328(f328(f239(f918(x98491,a905)),x98494),x98495))+P107(f328(f328(f330(x98491),f424(x98493,x98494,x98495,x98491,x98492)),f328(f328(f3(f918(x98491,a905)),x98495),x98494)))
% 28.33/28.23 [9850]~P78(x98502)+E(f328(f328(f11(x98501,x98502),x98503),x98504),f328(f328(f11(x98501,x98502),x98503),x98505))+~P107(f328(f64(x98501),x98505))+~P107(f328(f328(f239(f918(x98501,a905)),x98504),x98505))+P107(f328(f328(f330(x98501),f425(x98503,x98504,x98505,x98501,x98502)),f328(f328(f3(f918(x98501,a905)),x98505),x98504)))
% 28.33/28.23 [9851]~P76(x98512)+E(f328(f328(f8(x98511,x98512),x98513),x98514),f328(f328(f8(x98511,x98512),x98513),x98515))+~P107(f328(f64(x98511),x98515))+~P107(f328(f328(f239(f918(x98511,a905)),x98514),x98515))+P107(f328(f328(f330(x98511),f491(x98513,x98514,x98515,x98511,x98512)),f328(f328(f3(f918(x98511,a905)),x98515),x98514)))
% 28.33/28.23 [9852]~P76(x98522)+E(f328(f328(f8(x98521,x98522),x98523),x98524),f328(f328(f8(x98521,x98522),x98523),x98525))+~P107(f328(f64(x98521),x98525))+~P107(f328(f328(f239(f918(x98521,a905)),x98524),x98525))+P107(f328(f328(f330(x98521),f495(x98523,x98524,x98525,x98521,x98522)),f328(f328(f3(f918(x98521,a905)),x98525),x98524)))
% 28.33/28.23 [9870]~P78(x98701)+~P107(f328(f64(x98702),x98704))+~P107(f328(f64(x98702),x98705))+E(f328(f328(f84(x98701),f328(f328(f11(x98702,x98701),x98703),x98704)),f328(f328(f11(x98702,x98701),x98703),x98705)),f328(f328(f11(x98702,x98701),x98703),f328(f328(f105(f918(x98702,a905)),x98704),x98705)))+P107(f328(f328(f330(x98702),f389(x98703,x98705,x98704,x98702,x98701)),f328(f328(f106(f918(x98702,a905)),x98704),x98705)))
% 28.33/28.23 [9871]~P78(x98711)+~P107(f328(f64(x98712),x98714))+~P107(f328(f64(x98712),x98715))+E(f328(f328(f84(x98711),f328(f328(f11(x98712,x98711),x98713),x98714)),f328(f328(f11(x98712,x98711),x98713),x98715)),f328(f328(f11(x98712,x98711),x98713),f328(f328(f105(f918(x98712,a905)),x98714),x98715)))+P107(f328(f328(f330(x98712),f391(x98713,x98715,x98714,x98712,x98711)),f328(f328(f106(f918(x98712,a905)),x98714),x98715)))
% 28.33/28.23 [9872]~P76(x98721)+~P107(f328(f64(x98722),x98724))+~P107(f328(f64(x98722),x98725))+E(f328(f328(f83(x98721),f328(f328(f8(x98722,x98721),x98723),x98724)),f328(f328(f8(x98722,x98721),x98723),x98725)),f328(f328(f8(x98722,x98721),x98723),f328(f328(f105(f918(x98722,a905)),x98724),x98725)))+P107(f328(f328(f330(x98722),f474(x98723,x98725,x98724,x98722,x98721)),f328(f328(f106(f918(x98722,a905)),x98724),x98725)))
% 28.33/28.23 [9873]~P76(x98731)+~P107(f328(f64(x98732),x98734))+~P107(f328(f64(x98732),x98735))+E(f328(f328(f83(x98731),f328(f328(f8(x98732,x98731),x98733),x98734)),f328(f328(f8(x98732,x98731),x98733),x98735)),f328(f328(f8(x98732,x98731),x98733),f328(f328(f105(f918(x98732,a905)),x98734),x98735)))+P107(f328(f328(f330(x98732),f486(x98733,x98735,x98734,x98732,x98731)),f328(f328(f106(f918(x98732,a905)),x98734),x98735)))
% 28.33/28.23 [9879]~P88(x98795)+~P107(f328(f64(x98791),x98794))+P107(f328(f328(f239(x98795),f328(f328(f8(x98791,x98795),x98792),x98793)),f328(f328(f8(x98791,x98795),x98792),x98794)))+~P107(f328(f328(f239(f918(x98791,a905)),x98793),x98794))+P107(f328(f328(f330(x98791),f476(x98792,x98793,x98794,x98791,x98795)),f328(f328(f3(f918(x98791,a905)),x98794),x98793)))
% 28.33/28.23 [9925]~P78(x99251)+~P107(f328(f64(x99252),x99254))+~P107(f328(f64(x99252),x99255))+E(f328(f328(f84(x99251),f328(f328(f328(f68(x99251,x99252,f84(x99251)),x99253),f81(x99251)),x99254)),f328(f328(f328(f68(x99251,x99252,f84(x99251)),x99253),f81(x99251)),x99255)),f328(f328(f328(f68(x99251,x99252,f84(x99251)),x99253),f81(x99251)),f328(f328(f105(f918(x99252,a905)),x99254),x99255)))+P107(f328(f328(f330(x99252),f403(x99253,x99255,x99254,x99252,x99251)),f328(f328(f106(f918(x99252,a905)),x99254),x99255)))
% 28.33/28.23 [8902]~P23(x89021,x89024,x89025)+~P107(f328(f64(x89021),x89022))+E(f328(f328(f3(f918(x89021,a905)),x89022),f328(f328(f310(x89021),x89023),f190(f918(x89021,a905)))),f190(f918(x89021,a905)))+~P107(f328(f328(f330(x89021),x89023),x89022))+E(f328(f328(x89024,x89023),f328(x89025,f328(f328(f3(f918(x89021,a905)),x89022),f328(f328(f310(x89021),x89023),f190(f918(x89021,a905)))))),f328(x89025,x89022))
% 28.33/28.23 [8977]~P23(x89771,x89774,x89775)+~P107(f328(f64(x89771),x89773))+~P107(f328(f64(x89771),x89772))+E(f328(f328(f106(f918(x89771,a905)),x89772),x89773),f190(f918(x89771,a905)))+E(f328(f328(x89774,f328(x89775,f328(f328(f105(f918(x89771,a905)),x89772),x89773))),f328(x89775,f328(f328(f106(f918(x89771,a905)),x89772),x89773))),f328(f328(x89774,f328(x89775,x89772)),f328(x89775,x89773)))
% 28.33/28.23 [9536]~P107(f328(f328(f239(a1),x95364),f2(a1)))+~P107(f328(f328(f240(a1),x95363),x95365))+P107(f328(f328(f239(a1),x95361),x95362))+~P107(f328(f328(f240(a1),x95363),x95364))+~P107(f328(f328(f239(a1),f328(f328(f83(a1),f328(f328(f84(a1),x95363),x95362)),x95365)),f328(f328(f83(a1),f328(f328(f84(a1),x95363),x95361)),x95364)))
% 28.33/28.23 [9538]~P107(f328(f328(f239(a1),f2(a1)),x95385))+P107(f328(f328(f239(a1),x95381),x95382))+~P107(f328(f328(f240(a1),x95383),x95384))+~P107(f328(f328(f240(a1),x95385),x95384))+~P107(f328(f328(f239(a1),f328(f328(f83(a1),f328(f328(f84(a1),x95384),x95381)),x95385)),f328(f328(f83(a1),f328(f328(f84(a1),x95384),x95382)),x95383)))
% 28.33/28.23 [9653]~P70(x96535)+E(f328(x96531,f390(x96531,x96532,x96533,x96534,x96535)),f2(x96535))+~P107(f328(f64(x96534),x96533))+~P107(f328(f64(x96534),x96532))+E(f328(f328(f291(x96535),f328(f328(f84(x96535),f328(f328(f11(x96534,x96535),x96531),x96533)),f328(f328(f11(x96534,x96535),x96531),x96532))),f328(f328(f11(x96534,x96535),x96531),f328(f328(f106(f918(x96534,a905)),x96533),x96532))),f328(f328(f11(x96534,x96535),x96531),f328(f328(f105(f918(x96534,a905)),x96533),x96532)))
% 28.33/28.23 [9917]~P70(x99171)+~P107(f328(f64(x99172),x99174))+~P107(f328(f64(x99172),x99175))+E(f328(f328(f291(x99171),f328(f328(f84(x99171),f328(f328(f11(x99172,x99171),x99173),x99174)),f328(f328(f11(x99172,x99171),x99173),x99175))),f328(f328(f11(x99172,x99171),x99173),f328(f328(f106(f918(x99172,a905)),x99174),x99175))),f328(f328(f11(x99172,x99171),x99173),f328(f328(f105(f918(x99172,a905)),x99174),x99175)))+P107(f328(f328(f330(x99172),f390(x99173,x99175,x99174,x99172,x99171)),f328(f328(f106(f918(x99172,a905)),x99174),x99175)))
% 28.33/28.23 [9250]E(f328(f328(f136(x92501),x92502),x92503),f328(f328(f136(x92501),x92504),x92505))+~E(f328(f328(f177(x92501),f328(f191(f912(x92501)),x92504)),x92502),x92504)+~E(f328(f328(f177(x92501),f328(f191(f912(x92501)),x92502)),x92504),x92502)+~E(x92505,f328(f328(f136(x92501),f328(f328(f140(x92501),f328(f191(f912(x92501)),x92504)),x92502)),x92503))+~E(f328(f328(f136(x92501),f328(f328(f140(x92501),f328(f191(f912(x92501)),x92502)),x92504)),x92505),x92503)
% 28.33/28.23 [9651]~P109(x96512)+E(f328(f328(f150(x96511,x96512,x96513),x96514),f172(x96511,x96514,x96515)),x96515)+~P18(x96512,f328(f328(f156(x96511,x96512),x96513),x96515))+~P107(f328(f328(f330(x96511),x96514),f328(f174(x96511),x96515)))+~E(f328(f143(x96511),f328(f138(x96511,f328(f328(f10(x96512,a905,x96511),f328(a325,f328(x96513,x96514))),x96513)),x96515)),x96514)
% 28.33/28.23 [9979]~P73(x99791)+~P107(f328(f69(x99791,x99791,f84(x99791),x99792,x99793),x99795))+~P107(f328(f328(f330(x99791),x99794),x99793))+P107(f328(f328(f330(x99791),x99792),x99793))+P107(f328(f69(x99791,x99791,f84(x99791),x99794,f328(f328(f310(x99791),x99792),f328(f328(f3(f918(x99791,a905)),x99793),f328(f328(f310(x99791),x99794),f190(f918(x99791,a905)))))),x99795))
% 28.33/28.23 [7375]E(x73751,x73752)+~P30(x73754,x73755,x73753,x73756)+~E(f328(x73753,x73751),f328(x73753,x73752))+~P107(f328(f328(f330(x73754),x73752),x73756))+~P107(f328(f328(f330(x73754),x73751),x73756))
% 28.33/28.23 [7376]E(x73761,x73762)+~P30(x73764,x73765,x73763,x73766)+~E(f328(x73763,x73761),f328(x73763,x73762))+~P107(f328(f328(f330(x73764),x73762),x73766))+~P107(f328(f328(f330(x73764),x73761),x73766))
% 28.33/28.23 [7377]E(x73771,x73772)+~P30(x73774,x73775,x73773,x73776)+~E(f328(x73773,x73771),f328(x73773,x73772))+~P107(f328(f328(f330(x73774),x73772),x73776))+~P107(f328(f328(f330(x73774),x73771),x73776))
% 28.33/28.23 [7378]E(x73781,x73782)+~P30(x73784,x73785,x73783,x73786)+~E(f328(x73783,x73781),f328(x73783,x73782))+~P107(f328(f328(f330(x73784),x73782),x73786))+~P107(f328(f328(f330(x73784),x73781),x73786))
% 28.33/28.23 [6642]~P145(x66424)+E(x66421,x66422)+~E(x66425,x66426)+E(x66423,f2(x66424))+~E(f328(f328(f83(x66424),x66425),f328(f328(f84(x66424),x66423),x66421)),f328(f328(f83(x66424),x66426),f328(f328(f84(x66424),x66423),x66422)))
% 28.33/28.23 [7673]~P109(x76731)+~P10(x76731)+~P107(f328(f328(f240(x76731),x76732),f328(x76735,x76736)))+~P107(f328(f328(f330(x76733),x76736),x76734))+P107(f328(f328(f240(x76731),x76732),f328(f328(f42(x76733,x76731),x76734),x76735)))
% 28.33/28.23 [8365]~P109(x83651)+~P10(x83651)+~P107(f328(f328(f240(x83651),f328(x83654,x83656)),x83655))+~P107(f328(f328(f330(x83652),x83656),x83653))+P107(f328(f328(f240(x83651),f328(f328(f43(x83652,x83651),x83653),x83654)),x83655))
% 28.33/28.23 [8625]~P24(x86252,x86255,x86256,x86251)+~P107(f328(f64(x86252),x86254))+~P107(f328(f64(x86252),x86253))+~E(f328(f328(f106(f918(x86252,a905)),x86253),x86254),f190(f918(x86252,a905)))+E(f328(x86251,f328(f328(f105(f918(x86252,a905)),x86253),x86254)),f328(f76(x86255,x86255,x86255,f328(x86251,x86253)),f328(x86251,x86254)))
% 28.33/28.23 [10171]~P78(x101711)+~E(f844(x101714,x101715,x101713,x101716,x101712,x101711),f843(x101714,x101715,x101713,x101716,x101712,x101711))+~P107(f328(f64(x101712),x101716))+E(f328(f328(f328(f68(x101711,x101712,f84(x101711)),f328(f328(f10(f918(x101713,a905),x101711,x101712),f328(f328(f68(x101711,x101713,f84(x101711)),x101714),f81(x101711))),x101715)),f81(x101711)),x101716),f328(f328(f328(f68(x101711,x101713,f84(x101711)),x101714),f81(x101711)),f328(f328(f42(x101712,f918(x101713,a905)),x101716),x101715)))+P107(f328(f328(f330(x101712),f842(x101714,x101715,x101713,x101716,x101712,x101711)),x101716))
% 28.33/28.23 [10201]~P78(x102011)+~E(f844(x102014,x102015,x102013,x102016,x102012,x102011),f843(x102014,x102015,x102013,x102016,x102012,x102011))+~P107(f328(f64(x102012),x102016))+E(f328(f328(f328(f68(x102011,x102012,f84(x102011)),f328(f328(f10(f918(x102013,a905),x102011,x102012),f328(f328(f68(x102011,x102013,f84(x102011)),x102014),f81(x102011))),x102015)),f81(x102011)),x102016),f328(f328(f328(f68(x102011,x102013,f84(x102011)),x102014),f81(x102011)),f328(f328(f42(x102012,f918(x102013,a905)),x102016),x102015)))+~P107(f328(f64(x102013),f328(x102015,f842(x102014,x102015,x102013,x102016,x102012,x102011))))
% 28.33/28.23 [10204]~P78(x102041)+~P107(f328(f64(x102042),x102046))+E(f328(f328(f328(f68(x102041,x102042,f84(x102041)),f328(f328(f10(f918(x102043,a905),x102041,x102042),f328(f328(f68(x102041,x102043,f84(x102041)),x102044),f81(x102041))),x102045)),f81(x102041)),x102046),f328(f328(f328(f68(x102041,x102043,f84(x102041)),x102044),f81(x102041)),f328(f328(f42(x102042,f918(x102043,a905)),x102046),x102045)))+P107(f328(f328(f330(x102042),f842(x102044,x102045,x102043,x102046,x102042,x102041)),x102046))+P107(f328(f328(f330(x102042),f843(x102044,x102045,x102043,x102046,x102042,x102041)),x102046))
% 28.33/28.23 [10205]~P78(x102051)+~P107(f328(f64(x102052),x102056))+E(f328(f328(f328(f68(x102051,x102052,f84(x102051)),f328(f328(f10(f918(x102053,a905),x102051,x102052),f328(f328(f68(x102051,x102053,f84(x102051)),x102054),f81(x102051))),x102055)),f81(x102051)),x102056),f328(f328(f328(f68(x102051,x102053,f84(x102051)),x102054),f81(x102051)),f328(f328(f42(x102052,f918(x102053,a905)),x102056),x102055)))+P107(f328(f328(f330(x102052),f842(x102054,x102055,x102053,x102056,x102052,x102051)),x102056))+P107(f328(f328(f330(x102052),f844(x102054,x102055,x102053,x102056,x102052,x102051)),x102056))
% 28.33/28.23 [10224]~P78(x102241)+~P107(f328(f64(x102242),x102246))+E(f328(f328(f328(f68(x102241,x102242,f84(x102241)),f328(f328(f10(f918(x102243,a905),x102241,x102242),f328(f328(f68(x102241,x102243,f84(x102241)),x102244),f81(x102241))),x102245)),f81(x102241)),x102246),f328(f328(f328(f68(x102241,x102243,f84(x102241)),x102244),f81(x102241)),f328(f328(f42(x102242,f918(x102243,a905)),x102246),x102245)))+P107(f328(f328(f330(x102242),f843(x102244,x102245,x102243,x102246,x102242,x102241)),x102246))+~P107(f328(f64(x102243),f328(x102245,f842(x102244,x102245,x102243,x102246,x102242,x102241))))
% 28.33/28.23 [10225]~P78(x102251)+~P107(f328(f64(x102252),x102256))+E(f328(f328(f328(f68(x102251,x102252,f84(x102251)),f328(f328(f10(f918(x102253,a905),x102251,x102252),f328(f328(f68(x102251,x102253,f84(x102251)),x102254),f81(x102251))),x102255)),f81(x102251)),x102256),f328(f328(f328(f68(x102251,x102253,f84(x102251)),x102254),f81(x102251)),f328(f328(f42(x102252,f918(x102253,a905)),x102256),x102255)))+P107(f328(f328(f330(x102252),f844(x102254,x102255,x102253,x102256,x102252,x102251)),x102256))+~P107(f328(f64(x102253),f328(x102255,f842(x102254,x102255,x102253,x102256,x102252,x102251))))
% 28.33/28.23 [10236]~P78(x102361)+~E(f328(f328(f106(f918(x102363,a905)),f328(x102365,f843(x102364,x102365,x102363,x102366,x102362,x102361))),f328(x102365,f844(x102364,x102365,x102363,x102366,x102362,x102361))),f190(f918(x102363,a905)))+~P107(f328(f64(x102362),x102366))+E(f328(f328(f328(f68(x102361,x102362,f84(x102361)),f328(f328(f10(f918(x102363,a905),x102361,x102362),f328(f328(f68(x102361,x102363,f84(x102361)),x102364),f81(x102361))),x102365)),f81(x102361)),x102366),f328(f328(f328(f68(x102361,x102363,f84(x102361)),x102364),f81(x102361)),f328(f328(f42(x102362,f918(x102363,a905)),x102366),x102365)))+P107(f328(f328(f330(x102362),f842(x102364,x102365,x102363,x102366,x102362,x102361)),x102366))
% 28.33/28.23 [10246]~P78(x102461)+~E(f328(f328(f106(f918(x102463,a905)),f328(x102465,f843(x102464,x102465,x102463,x102466,x102462,x102461))),f328(x102465,f844(x102464,x102465,x102463,x102466,x102462,x102461))),f190(f918(x102463,a905)))+~P107(f328(f64(x102462),x102466))+E(f328(f328(f328(f68(x102461,x102462,f84(x102461)),f328(f328(f10(f918(x102463,a905),x102461,x102462),f328(f328(f68(x102461,x102463,f84(x102461)),x102464),f81(x102461))),x102465)),f81(x102461)),x102466),f328(f328(f328(f68(x102461,x102463,f84(x102461)),x102464),f81(x102461)),f328(f328(f42(x102462,f918(x102463,a905)),x102466),x102465)))+~P107(f328(f64(x102463),f328(x102465,f842(x102464,x102465,x102463,x102466,x102462,x102461))))
% 28.33/28.23 [8947]E(x89471,x89472)+~P63(x89474,x89475,x89476,x89473,x89477)+~E(f328(x89473,x89471),f328(x89473,x89472))+~P107(f328(f328(f330(x89475),x89472),x89477))+~P107(f328(f328(f330(x89475),x89471),x89477))
% 28.33/28.23 [9650]~P31(x96501,x96502,x96503,x96505,x96507)+~P31(x96501,x96502,x96503,x96504,x96506)+P31(x96501,x96502,x96503,f328(f328(f105(f918(x96501,a905)),x96504),x96505),f328(f328(f105(f918(x96502,a905)),x96506),x96507))+~E(f328(f328(f106(f918(x96502,a905)),x96506),x96507),f190(f918(x96502,a905)))+~E(f328(f328(f106(f918(x96501,a905)),x96504),x96505),f190(f918(x96501,a905)))
% 28.33/28.23 [10214]~P107(f328(x102142,x102144))+~E(x102145,f328(f138(x102141,x102142),x102147))+E(f328(f138(x102141,x102142),x102143),f328(f328(f153(x102141),x102144),x102145))+~E(x102143,f328(f328(f136(x102141),x102146),f328(f328(f153(x102141),x102144),x102147)))+P107(f328(x102142,f714(x102145,x102144,x102143,x102142,x102141,x102146,x102147)))
% 28.33/28.23 [10215]~P107(f328(x102154,x102152))+~E(x102153,f328(f138(x102151,x102154),x102157))+E(f328(f328(f153(x102151),x102152),x102153),f328(f138(x102151,x102154),x102155))+~E(x102155,f328(f328(f136(x102151),x102156),f328(f328(f153(x102151),x102152),x102157)))+P107(f328(x102154,f733(x102155,x102154,x102153,x102152,x102151,x102156,x102157)))
% 28.33/28.23 [10257]~P107(f328(x102572,x102574))+~E(x102575,f328(f138(x102571,x102572),x102577))+E(f328(f138(x102571,x102572),x102573),f328(f328(f153(x102571),x102574),x102575))+~E(x102573,f328(f328(f136(x102571),x102576),f328(f328(f153(x102571),x102574),x102577)))+P107(f328(f328(f330(x102571),f714(x102575,x102574,x102573,x102572,x102571,x102576,x102577)),f328(f174(x102571),x102576)))
% 28.33/28.23 [10258]~P107(f328(x102584,x102582))+~E(x102583,f328(f138(x102581,x102584),x102587))+E(f328(f328(f153(x102581),x102582),x102583),f328(f138(x102581,x102584),x102585))+~E(x102585,f328(f328(f136(x102581),x102586),f328(f328(f153(x102581),x102582),x102587)))+P107(f328(f328(f330(x102581),f733(x102585,x102584,x102583,x102582,x102581,x102586,x102587)),f328(f174(x102581),x102586)))
% 28.33/28.23 [10261]~P13(x102611,x102617,x102616)+~P16(x102611,f918(x102615,a905),x102616,x102614)+P107(f328(f328(f330(x102611),f405(x102612,x102613,x102614,x102615,x102616,x102617,x102611)),x102617))+~P107(f328(f328(f330(f918(x102611,a905)),x102613),f328(f328(f63(x102611),x102617),x102616)))+P107(f328(f328(f330(f918(x102615,a905)),f328(f328(f42(x102611,f918(x102615,a905)),x102613),x102614)),x102612))
% 28.33/28.23 [10318]~P13(x103182,x103186,x103187)+~P16(x103182,f918(x103181,a905),x103187,x103184)+~P107(f328(f328(f330(f918(x103182,a905)),x103183),f328(f328(f63(x103182),x103186),x103187)))+~P107(f328(f328(f330(f918(x103181,a905)),f328(x103184,f405(x103185,x103183,x103184,x103181,x103187,x103186,x103182))),x103185))+P107(f328(f328(f330(f918(x103181,a905)),f328(f328(f42(x103182,f918(x103181,a905)),x103183),x103184)),x103185))
% 28.33/28.23 [8536]~P78(x85362)+~P30(x85361,x85365,x85368,x85364)+~E(x85363,f328(f76(x85365,x85362,x85361,x85366),x85368))+~E(x85367,f328(f311(x85361,x85365,x85368),x85364))+E(f328(f328(f11(x85361,x85362),x85363),x85364),f328(f328(f11(x85365,x85362),x85366),x85367))
% 28.33/28.23 [10322]~P78(x103222)+~P30(x103225,x103221,x103228,x103227)+~E(f328(x103226,f473(x103223,x103226,x103224,x103227,x103228,x103221,x103225,x103222)),f328(f328(f76(x103221,x103222,x103225,x103223),x103228),f473(x103223,x103226,x103224,x103227,x103228,x103221,x103225,x103222)))+~E(x103224,f328(f311(x103225,x103221,x103228),x103227))+E(f328(f328(f11(x103221,x103222),x103223),x103224),f328(f328(f11(x103225,x103222),x103226),x103227))
% 28.33/28.23 [10325]~P78(x103252)+~P30(x103251,x103255,x103258,x103254)+~E(x103257,f328(f311(x103251,x103255,x103258),x103254))+E(f328(f328(f11(x103251,x103252),x103253),x103254),f328(f328(f11(x103255,x103252),x103256),x103257))+P107(f328(f328(f330(x103251),f473(x103256,x103253,x103257,x103254,x103258,x103255,x103251,x103252)),x103254))
% 28.33/28.23 [10326]~P76(x103262)+~P30(x103261,x103265,x103268,x103264)+~E(x103267,f328(f311(x103261,x103265,x103268),x103264))+E(f328(f328(f8(x103261,x103262),x103263),x103264),f328(f328(f8(x103265,x103262),x103266),x103267))+P107(f328(f328(f330(x103261),f754(x103266,x103263,x103267,x103264,x103268,x103265,x103261,x103262)),x103264))
% 28.33/28.23 [10332]~P76(x103322)+~P30(x103325,x103321,x103328,x103327)+~E(x103324,f328(f311(x103325,x103321,x103328),x103327))+~E(f328(x103326,f754(x103323,x103326,x103324,x103327,x103328,x103321,x103325,x103322)),f328(x103323,f328(x103328,f754(x103323,x103326,x103324,x103327,x103328,x103321,x103325,x103322))))+E(f328(f328(f8(x103321,x103322),x103323),x103324),f328(f328(f8(x103325,x103322),x103326),x103327))
% 28.33/28.23 [9814]~P28(x98146,x98142,x98145,x98147,x98148,x98141)+~P107(f328(f64(x98142),x98144))+~P107(f328(f64(x98142),x98143))+~E(f328(f328(f106(f918(x98142,a905)),x98143),x98144),f190(f918(x98142,a905)))+E(f328(x98141,f328(f328(f105(f918(x98142,a905)),x98143),x98144)),f328(f328(x98145,f328(x98141,x98143)),f328(x98141,x98144)))
% 28.33/28.23 [10198]~P28(x101988,x101982,x101985,x101987,x101986,x101981)+~E(f328(x101986,f542(x101984,x101983,x101981,x101986,x101987,x101985,x101982)),x101987)+~P107(f328(f64(x101982),x101983))+~P107(f328(f64(x101982),x101984))+E(f328(x101981,f328(f328(f105(f918(x101982,a905)),x101983),x101984)),f328(f328(x101985,f328(x101981,x101983)),f328(x101981,x101984)))
% 28.33/28.23 [10268]~P28(x102688,x102682,x102685,x102687,x102686,x102681)+~P107(f328(f64(x102682),x102683))+~P107(f328(f64(x102682),x102684))+E(f328(x102681,f328(f328(f105(f918(x102682,a905)),x102683),x102684)),f328(f328(x102685,f328(x102681,x102683)),f328(x102681,x102684)))+P107(f328(f328(f330(x102682),f542(x102684,x102683,x102681,x102686,x102687,x102685,x102682)),f328(f328(f106(f918(x102682,a905)),x102683),x102684)))
% 28.33/28.23 [9967]~P13(x99674,x99678,x99675)+~P13(x99671,x99679,x99673)+~P17(x99671,x99674,f918(x99672,a905),x99673,x99675,x99677)+P16(x99671,f918(x99672,a905),x99673,f328(f328(f10(f918(x99674,f918(x99672,a905)),f918(x99672,a905),x99671),f328(f42(x99674,f918(x99672,a905)),f328(f287(x99674,x99674,x99675),f328(f328(f310(x99674),x99676),f190(f918(x99674,a905)))))),x99677))+~P107(f328(f328(f330(x99674),x99676),x99678))
% 28.33/28.23 [5553]~P109(x55533)+~P18(x55533,x55531)+E(x55531,f691(x55532,x55533))+~E(f328(f174(x55533),x55531),x55532)+~P107(f328(f64(x55533),x55532))+~P107(f328(f139(x55533),x55531))
% 28.33/28.23 [7369]P20(x73691,x73692)+~E(f328(x73692,f833(x73692)),f328(x73692,f834(x73692)))+~P107(f328(f328(x73692,f833(x73692)),f833(x73692)))+~P107(f328(f328(x73692,f833(x73692)),f834(x73692)))+~P107(f328(f328(x73692,f834(x73692)),f834(x73692)))+~P107(f328(f328(x73692,x73693),x73693))
% 28.33/28.23 [5176]~P129(x51762)+~P134(x51762)+~P146(x51762)+~P117(x51762)+E(x51761,f2(x51762))+~E(f328(f328(f248(x51762),x51761),x51763),f2(x51762))
% 28.33/28.23 [5177]~P129(x51772)+~P134(x51772)+~P146(x51772)+~P117(x51772)+~E(x51771,f2(a911))+~E(f328(f328(f248(x51772),x51773),x51771),f2(x51772))
% 28.33/28.23 [6622]~P88(x66221)+~E(x66223,f2(x66221))+~E(x66222,f2(x66221))+E(f328(f328(f83(x66221),x66222),x66223),f2(x66221))+~P107(f328(f328(f239(x66221),f2(x66221)),x66223))+~P107(f328(f328(f239(x66221),f2(x66221)),x66222))
% 28.33/28.23 [8996]E(x89961,f2(a911))+~E(x89962,f328(f328(f83(a911),f328(f328(f84(a911),f328(f255(a911,a911),x89963)),x89961)),f328(f260(a911,a911),x89963)))+P107(f328(f51(x89962,x89961),x89963))+~P107(f328(f328(f239(a911),f328(f260(a911,a911),x89963)),f2(a911)))+P107(f328(f328(f240(a911),f2(a911)),x89961))+~P107(f328(f328(f240(a911),x89961),f328(f260(a911,a911),x89963)))
% 28.33/28.23 [9014]~E(f328(f255(a911,a911),x90143),f2(a911))+~E(x90141,f328(f328(f83(a911),f328(f328(f84(a911),f328(f255(a911,a911),x90143)),x90142)),f328(f260(a911,a911),x90143)))+P107(f328(f51(x90141,x90142),x90143))+~P107(f328(f328(f239(a911),f328(f260(a911,a911),x90143)),f2(a911)))+P107(f328(f328(f240(a911),f2(a911)),x90142))+~P107(f328(f328(f240(a911),x90142),f328(f260(a911,a911),x90143)))
% 28.33/28.23 [9022]E(x90221,f2(a911))+~E(x90222,f328(f328(f83(a911),f328(f328(f84(a911),f328(f255(a911,a911),x90223)),x90221)),f328(f260(a911,a911),x90223)))+P107(f328(f51(x90222,x90221),x90223))+~P107(f328(f328(f240(a911),f2(a911)),x90221))+~P107(f328(f328(f239(a911),f2(a911)),f328(f260(a911,a911),x90223)))+~P107(f328(f328(f240(a911),f328(f260(a911,a911),x90223)),x90221))
% 28.33/28.23 [9041]~E(f328(f255(a911,a911),x90413),f2(a911))+~E(x90411,f328(f328(f83(a911),f328(f328(f84(a911),f328(f255(a911,a911),x90413)),x90412)),f328(f260(a911,a911),x90413)))+P107(f328(f51(x90411,x90412),x90413))+~P107(f328(f328(f240(a911),f2(a911)),x90412))+~P107(f328(f328(f239(a911),f2(a911)),f328(f260(a911,a911),x90413)))+~P107(f328(f328(f240(a911),f328(f260(a911,a911),x90413)),x90412))
% 28.33/28.23 [7001]~P101(x70012)+E(x70011,f190(f918(x70012,a905)))+E(x70013,f190(f918(x70012,a905)))+~P107(f328(f64(x70012),x70011))+~P107(f328(f64(x70012),x70013))+E(f13(x70012,f328(f328(f105(f918(x70012,a905)),x70013),x70011)),f328(f328(f106(x70012),f13(x70012,x70013)),f13(x70012,x70011)))
% 28.33/28.23 [7002]~P101(x70022)+E(x70021,f190(f918(x70022,a905)))+E(x70023,f190(f918(x70022,a905)))+~P107(f328(f64(x70022),x70021))+~P107(f328(f64(x70022),x70023))+E(f12(x70022,f328(f328(f105(f918(x70022,a905)),x70023),x70021)),f328(f328(f105(x70022),f12(x70022,x70023)),f12(x70022,x70021)))
% 28.33/28.23 [7003]~P109(x70032)+E(x70031,f190(f918(x70032,a905)))+E(x70033,f190(f918(x70032,a905)))+~P107(f328(f64(x70032),x70031))+~P107(f328(f64(x70032),x70033))+E(f16(x70032,f328(f328(f105(f918(x70032,a905)),x70033),x70031)),f328(f328(f238(x70032),f16(x70032,x70033)),f16(x70032,x70031)))
% 28.33/28.23 [7004]~P109(x70042)+E(x70041,f190(f918(x70042,a905)))+E(x70043,f190(f918(x70042,a905)))+~P107(f328(f64(x70042),x70041))+~P107(f328(f64(x70042),x70043))+E(f17(x70042,f328(f328(f105(f918(x70042,a905)),x70043),x70041)),f328(f328(f243(x70042),f17(x70042,x70043)),f17(x70042,x70041)))
% 28.33/28.23 [7650]~P97(x76502)+E(x76501,f190(f918(x76502,a905)))+E(x76503,f190(f918(x76502,a905)))+~P107(f328(f64(x76502),x76501))+~P107(f328(f64(x76502),x76503))+E(f328(f328(f84(x76502),f328(f66(x76502,f84(x76502)),x76503)),f328(f66(x76502,f84(x76502)),x76501)),f328(f66(x76502,f84(x76502)),f328(f328(f105(f918(x76502,a905)),x76503),x76501)))
% 28.33/28.23 [7807]~P109(x78072)+E(x78071,f190(f918(x78072,a905)))+E(x78073,f190(f918(x78072,a905)))+~P107(f328(f64(x78072),x78071))+~P107(f328(f64(x78072),x78073))+E(f328(f328(f238(x78072),f14(x78072,f238(x78072),x78073)),f14(x78072,f238(x78072),x78071)),f14(x78072,f238(x78072),f328(f328(f105(f918(x78072,a905)),x78073),x78071)))
% 28.33/28.23 [7808]~P109(x78082)+E(x78081,f190(f918(x78082,a905)))+E(x78083,f190(f918(x78082,a905)))+~P107(f328(f64(x78082),x78081))+~P107(f328(f64(x78082),x78083))+E(f328(f328(f243(x78082),f15(x78082,f243(x78082),x78083)),f15(x78082,f243(x78082),x78081)),f15(x78082,f243(x78082),f328(f328(f105(f918(x78082,a905)),x78083),x78081)))
% 28.33/28.23 [8855]~P107(f328(x88551,x88553))+P107(f328(x88551,f459(x88551,x88552)))+P107(f328(x88551,f449(x88551,x88552)))+~P107(f328(f328(f240(a1),f2(a1)),x88552))+~P107(f328(f328(f330(a1),x88553),f304(a1,f81(a1),x88552)))+P107(f328(x88551,f328(f328(f3(a1),f449(x88551,x88552)),f328(f328(f84(a1),f455(x88551,x88552)),x88552))))
% 28.33/28.23 [9149]~P107(f328(x91491,x91493))+~P107(f328(x91491,f449(x91491,x91492)))+P107(f328(x91491,f459(x91491,x91492)))+~P107(f328(f328(f240(a1),f2(a1)),x91492))+~P107(f328(f328(f330(a1),x91493),f304(a1,f81(a1),x91492)))+~P107(f328(x91491,f328(f328(f3(a1),f449(x91491,x91492)),f328(f328(f84(a1),f455(x91491,x91492)),x91492))))
% 28.33/28.23 [10354]~P102(x103542)+E(x103541,f190(f918(x103542,a905)))+E(x103543,f190(f918(x103542,a905)))+~P107(f328(f64(x103542),x103541))+~P107(f328(f64(x103542),x103543))+E(f13(x103542,f328(f266(x103542),f328(f328(f10(f918(x103542,a905),a905,x103542),f90(x103542)),f328(f328(f10(f918(x103542,f918(x103542,a905)),f918(x103542,a905),x103542),f328(f10(f918(x103542,a905),a905,x103542),f90(x103542))),f328(f328(f9(x103542,f918(x103542,f918(x103542,a905)),f918(x103542,f918(x103542,a905))),f328(f328(f10(f918(x103542,f918(f918(x103542,a905),f918(x103542,a905))),f918(f918(x103542,f918(x103542,a905)),f918(x103542,f918(x103542,a905))),x103542),f20(x103542,f918(x103542,a905),f918(x103542,a905))),f328(f328(f10(f918(x103542,f918(x103542,f918(a905,a905))),f918(x103542,f918(f918(x103542,a905),f918(x103542,a905))),x103542),f328(f10(f918(x103542,f918(a905,a905)),f918(f918(x103542,a905),f918(x103542,a905)),x103542),f20(x103542,a905,a905))),f328(f328(f10(f918(x103542,f918(x103542,a905)),f918(x103542,f918(x103542,f918(a905,a905))),x103542),f328(f10(f918(x103542,a905),f918(x103542,f918(a905,a905)),x103542),f328(f10(a905,f918(a905,a905),x103542),a326))),f328(f328(f9(x103542,f918(x103542,f918(x103542,x103542)),f918(x103542,f918(x103542,a905))),f328(f328(f10(f918(f918(x103542,x103542),f918(x103542,a905)),f918(f918(x103542,f918(x103542,x103542)),f918(x103542,f918(x103542,a905))),x103542),f10(f918(x103542,x103542),f918(x103542,a905),x103542)),f328(f328(f10(f918(x103542,a905),f918(f918(x103542,x103542),f918(x103542,a905)),x103542),f10(x103542,a905,x103542)),a325))),f105(x103542)))))),f328(f328(f9(x103542,f918(x103542,a905),f918(x103542,a905)),f328(f328(f10(f918(a905,a905),f918(f918(x103542,a905),f918(x103542,a905)),x103542),f10(a905,a905,x103542)),f328(f328(f10(a905,f918(a905,a905),x103542),a326),f328(f328(f9(x103542,f918(x103542,a905),a905),f330(x103542)),x103543)))),f328(f328(f9(x103542,f918(x103542,a905),a905),f330(x103542)),x103541))))))),f328(f328(f105(x103542),f13(x103542,x103543)),f13(x103542,x103541)))
% 28.33/28.23 [10355]~P102(x103552)+E(x103551,f190(f918(x103552,a905)))+E(x103553,f190(f918(x103552,a905)))+~P107(f328(f64(x103552),x103551))+~P107(f328(f64(x103552),x103553))+E(f12(x103552,f328(f266(x103552),f328(f328(f10(f918(x103552,a905),a905,x103552),f90(x103552)),f328(f328(f10(f918(x103552,f918(x103552,a905)),f918(x103552,a905),x103552),f328(f10(f918(x103552,a905),a905,x103552),f90(x103552))),f328(f328(f9(x103552,f918(x103552,f918(x103552,a905)),f918(x103552,f918(x103552,a905))),f328(f328(f10(f918(x103552,f918(f918(x103552,a905),f918(x103552,a905))),f918(f918(x103552,f918(x103552,a905)),f918(x103552,f918(x103552,a905))),x103552),f20(x103552,f918(x103552,a905),f918(x103552,a905))),f328(f328(f10(f918(x103552,f918(x103552,f918(a905,a905))),f918(x103552,f918(f918(x103552,a905),f918(x103552,a905))),x103552),f328(f10(f918(x103552,f918(a905,a905)),f918(f918(x103552,a905),f918(x103552,a905)),x103552),f20(x103552,a905,a905))),f328(f328(f10(f918(x103552,f918(x103552,a905)),f918(x103552,f918(x103552,f918(a905,a905))),x103552),f328(f10(f918(x103552,a905),f918(x103552,f918(a905,a905)),x103552),f328(f10(a905,f918(a905,a905),x103552),a326))),f328(f328(f9(x103552,f918(x103552,f918(x103552,x103552)),f918(x103552,f918(x103552,a905))),f328(f328(f10(f918(f918(x103552,x103552),f918(x103552,a905)),f918(f918(x103552,f918(x103552,x103552)),f918(x103552,f918(x103552,a905))),x103552),f10(f918(x103552,x103552),f918(x103552,a905),x103552)),f328(f328(f10(f918(x103552,a905),f918(f918(x103552,x103552),f918(x103552,a905)),x103552),f10(x103552,a905,x103552)),a325))),f106(x103552)))))),f328(f328(f9(x103552,f918(x103552,a905),f918(x103552,a905)),f328(f328(f10(f918(a905,a905),f918(f918(x103552,a905),f918(x103552,a905)),x103552),f10(a905,a905,x103552)),f328(f328(f10(a905,f918(a905,a905),x103552),a326),f328(f328(f9(x103552,f918(x103552,a905),a905),f330(x103552)),x103553)))),f328(f328(f9(x103552,f918(x103552,a905),a905),f330(x103552)),x103551))))))),f328(f328(f106(x103552),f12(x103552,x103553)),f12(x103552,x103551)))
% 28.33/28.23 [10356]~P109(x103562)+E(x103561,f190(f918(x103562,a905)))+E(x103563,f190(f918(x103562,a905)))+~P107(f328(f64(x103562),x103561))+~P107(f328(f64(x103562),x103563))+E(f14(x103562,f238(x103562),f328(f266(x103562),f328(f328(f10(f918(x103562,a905),a905,x103562),f90(x103562)),f328(f328(f10(f918(x103562,f918(x103562,a905)),f918(x103562,a905),x103562),f328(f10(f918(x103562,a905),a905,x103562),f90(x103562))),f328(f328(f9(x103562,f918(x103562,f918(x103562,a905)),f918(x103562,f918(x103562,a905))),f328(f328(f10(f918(x103562,f918(f918(x103562,a905),f918(x103562,a905))),f918(f918(x103562,f918(x103562,a905)),f918(x103562,f918(x103562,a905))),x103562),f20(x103562,f918(x103562,a905),f918(x103562,a905))),f328(f328(f10(f918(x103562,f918(x103562,f918(a905,a905))),f918(x103562,f918(f918(x103562,a905),f918(x103562,a905))),x103562),f328(f10(f918(x103562,f918(a905,a905)),f918(f918(x103562,a905),f918(x103562,a905)),x103562),f20(x103562,a905,a905))),f328(f328(f10(f918(x103562,f918(x103562,a905)),f918(x103562,f918(x103562,f918(a905,a905))),x103562),f328(f10(f918(x103562,a905),f918(x103562,f918(a905,a905)),x103562),f328(f10(a905,f918(a905,a905),x103562),a326))),f328(f328(f9(x103562,f918(x103562,f918(x103562,x103562)),f918(x103562,f918(x103562,a905))),f328(f328(f10(f918(f918(x103562,x103562),f918(x103562,a905)),f918(f918(x103562,f918(x103562,x103562)),f918(x103562,f918(x103562,a905))),x103562),f10(f918(x103562,x103562),f918(x103562,a905),x103562)),f328(f328(f10(f918(x103562,a905),f918(f918(x103562,x103562),f918(x103562,a905)),x103562),f10(x103562,a905,x103562)),a325))),f243(x103562)))))),f328(f328(f9(x103562,f918(x103562,a905),f918(x103562,a905)),f328(f328(f10(f918(a905,a905),f918(f918(x103562,a905),f918(x103562,a905)),x103562),f10(a905,a905,x103562)),f328(f328(f10(a905,f918(a905,a905),x103562),a326),f328(f328(f9(x103562,f918(x103562,a905),a905),f330(x103562)),x103563)))),f328(f328(f9(x103562,f918(x103562,a905),a905),f330(x103562)),x103561))))))),f328(f328(f243(x103562),f14(x103562,f238(x103562),x103563)),f14(x103562,f238(x103562),x103561)))
% 28.33/28.23 [10357]~P109(x103572)+E(x103571,f190(f918(x103572,a905)))+E(x103573,f190(f918(x103572,a905)))+~P107(f328(f64(x103572),x103571))+~P107(f328(f64(x103572),x103573))+E(f15(x103572,f243(x103572),f328(f266(x103572),f328(f328(f10(f918(x103572,a905),a905,x103572),f90(x103572)),f328(f328(f10(f918(x103572,f918(x103572,a905)),f918(x103572,a905),x103572),f328(f10(f918(x103572,a905),a905,x103572),f90(x103572))),f328(f328(f9(x103572,f918(x103572,f918(x103572,a905)),f918(x103572,f918(x103572,a905))),f328(f328(f10(f918(x103572,f918(f918(x103572,a905),f918(x103572,a905))),f918(f918(x103572,f918(x103572,a905)),f918(x103572,f918(x103572,a905))),x103572),f20(x103572,f918(x103572,a905),f918(x103572,a905))),f328(f328(f10(f918(x103572,f918(x103572,f918(a905,a905))),f918(x103572,f918(f918(x103572,a905),f918(x103572,a905))),x103572),f328(f10(f918(x103572,f918(a905,a905)),f918(f918(x103572,a905),f918(x103572,a905)),x103572),f20(x103572,a905,a905))),f328(f328(f10(f918(x103572,f918(x103572,a905)),f918(x103572,f918(x103572,f918(a905,a905))),x103572),f328(f10(f918(x103572,a905),f918(x103572,f918(a905,a905)),x103572),f328(f10(a905,f918(a905,a905),x103572),a326))),f328(f328(f9(x103572,f918(x103572,f918(x103572,x103572)),f918(x103572,f918(x103572,a905))),f328(f328(f10(f918(f918(x103572,x103572),f918(x103572,a905)),f918(f918(x103572,f918(x103572,x103572)),f918(x103572,f918(x103572,a905))),x103572),f10(f918(x103572,x103572),f918(x103572,a905),x103572)),f328(f328(f10(f918(x103572,a905),f918(f918(x103572,x103572),f918(x103572,a905)),x103572),f10(x103572,a905,x103572)),a325))),f238(x103572)))))),f328(f328(f9(x103572,f918(x103572,a905),f918(x103572,a905)),f328(f328(f10(f918(a905,a905),f918(f918(x103572,a905),f918(x103572,a905)),x103572),f10(a905,a905,x103572)),f328(f328(f10(a905,f918(a905,a905),x103572),a326),f328(f328(f9(x103572,f918(x103572,a905),a905),f330(x103572)),x103573)))),f328(f328(f9(x103572,f918(x103572,a905),a905),f330(x103572)),x103571))))))),f328(f328(f238(x103572),f15(x103572,f243(x103572),x103573)),f15(x103572,f243(x103572),x103571)))
% 28.33/28.23 [7325]~P125(x73253)+E(x73251,x73252)+~E(f328(f328(f248(x73253),x73251),x73254),f328(f328(f248(x73253),x73252),x73254))+~P107(f328(f328(f239(x73253),f2(x73253)),x73252))+~P107(f328(f328(f239(x73253),f2(x73253)),x73251))+~P107(f328(f328(f240(a911),f2(a911)),x73254))
% 28.33/28.23 [8168]~P71(x81681)+~P95(x81681)+P107(f328(f328(f240(x81681),x81682),f2(x81681)))+P107(f328(f328(f240(x81681),f2(x81681)),x81682))+P107(f328(f328(f240(x81681),f328(f328(f291(x81681),x81683),x81682)),f328(f108(x81681),x81684)))+~P107(f328(f328(f240(x81681),f2(x81681)),f328(f108(x81681),x81684)))
% 28.33/28.23 [8169]~P71(x81691)+~P95(x81691)+P107(f328(f328(f240(x81691),x81692),f2(x81691)))+P107(f328(f328(f240(x81691),f2(x81691)),x81692))+P107(f328(f328(f239(x81691),f328(f328(f291(x81691),x81693),x81692)),f328(f108(x81691),x81694)))+~P107(f328(f328(f239(x81691),f2(x81691)),f328(f108(x81691),x81694)))
% 28.33/28.23 [8412]~P71(x84121)+~P95(x84121)+P107(f328(f328(f240(x84121),x84122),f2(x84121)))+P107(f328(f328(f240(x84121),f2(x84121)),x84122))+~P107(f328(f328(f240(x84121),f328(f328(f291(x84121),x84124),x84122)),f328(f108(x84121),x84123)))+P107(f328(f328(f240(x84121),f2(x84121)),f328(f108(x84121),x84123)))
% 28.33/28.23 [8413]~P71(x84131)+~P95(x84131)+P107(f328(f328(f240(x84131),x84132),f2(x84131)))+P107(f328(f328(f240(x84131),f2(x84131)),x84132))+~P107(f328(f328(f239(x84131),f328(f328(f291(x84131),x84134),x84132)),f328(f108(x84131),x84133)))+P107(f328(f328(f239(x84131),f2(x84131)),f328(f108(x84131),x84133)))
% 28.33/28.23 [7610]~P109(x76102)+E(x76101,f190(f918(x76102,a905)))+~P107(f328(f64(x76102),x76101))+~P107(f328(f328(f330(x76102),x76104),x76101))+P107(f328(f328(f240(x76102),x76103),x76104))+~P107(f328(f328(f240(x76102),x76103),f328(f66(x76102,f243(x76102)),x76101)))
% 28.33/28.23 [7611]~P109(x76112)+E(x76111,f190(f918(x76112,a905)))+~P107(f328(f64(x76112),x76111))+~P107(f328(f328(f330(x76112),x76114),x76111))+P107(f328(f328(f239(x76112),x76113),x76114))+~P107(f328(f328(f239(x76112),x76113),f328(f66(x76112,f243(x76112)),x76111)))
% 28.33/28.23 [7612]~P104(x76122)+E(x76121,f190(f918(x76122,a905)))+~P107(f328(f64(x76122),x76121))+~P107(f328(f328(f330(x76122),x76124),x76121))+P107(f328(f328(f239(x76122),x76123),x76124))+~P107(f328(f328(f239(x76122),x76123),f328(f66(x76122,f106(x76122)),x76121)))
% 28.33/28.23 [8117]~P71(x81171)+~P95(x81171)+P107(f328(f328(f240(x81171),f328(f108(x81171),x81172)),f2(x81171)))+~P107(f328(f328(f240(x81171),x81173),f2(x81171)))+P107(f328(f328(f240(x81171),f2(x81171)),f328(f108(x81171),x81172)))+P107(f328(f328(f240(x81171),x81173),f328(f328(f291(x81171),x81174),f328(f108(x81171),x81172))))
% 28.33/28.23 [8118]~P71(x81181)+~P95(x81181)+P107(f328(f328(f240(x81181),f328(f108(x81181),x81182)),f2(x81181)))+~P107(f328(f328(f239(x81181),x81183),f2(x81181)))+P107(f328(f328(f240(x81181),f2(x81181)),f328(f108(x81181),x81182)))+P107(f328(f328(f239(x81181),x81183),f328(f328(f291(x81181),x81184),f328(f108(x81181),x81182))))
% 28.33/28.23 [8130]~P71(x81301)+~P95(x81301)+P107(f328(f328(f240(x81301),x81302),f2(x81301)))+~P107(f328(f328(f240(x81301),f328(f108(x81301),x81303)),f2(x81301)))+P107(f328(f328(f240(x81301),f2(x81301)),x81302))+P107(f328(f328(f240(x81301),f328(f108(x81301),x81303)),f328(f328(f291(x81301),x81304),x81302)))
% 28.33/28.23 [8131]~P71(x81311)+~P95(x81311)+P107(f328(f328(f240(x81311),x81312),f2(x81311)))+~P107(f328(f328(f239(x81311),f328(f108(x81311),x81313)),f2(x81311)))+P107(f328(f328(f240(x81311),f2(x81311)),x81312))+P107(f328(f328(f239(x81311),f328(f108(x81311),x81313)),f328(f328(f291(x81311),x81314),x81312)))
% 28.33/28.23 [8285]~P71(x82851)+~P95(x82851)+P107(f328(f328(f240(x82851),x82852),f2(x82851)))+P107(f328(f328(f240(x82851),f328(f108(x82851),x82853)),f2(x82851)))+P107(f328(f328(f240(x82851),f2(x82851)),x82852))+~P107(f328(f328(f240(x82851),f328(f108(x82851),x82853)),f328(f328(f291(x82851),x82854),x82852)))
% 28.33/28.23 [8286]~P71(x82861)+~P95(x82861)+P107(f328(f328(f240(x82861),x82862),f2(x82861)))+P107(f328(f328(f239(x82861),f328(f108(x82861),x82863)),f2(x82861)))+P107(f328(f328(f240(x82861),f2(x82861)),x82862))+~P107(f328(f328(f239(x82861),f328(f108(x82861),x82863)),f328(f328(f291(x82861),x82864),x82862)))
% 28.33/28.23 [8359]~P71(x83591)+~P95(x83591)+P107(f328(f328(f240(x83591),x83592),f2(x83591)))+P107(f328(f328(f240(x83591),f328(f108(x83591),x83593)),f2(x83591)))+P107(f328(f328(f240(x83591),f2(x83591)),f328(f108(x83591),x83593)))+~P107(f328(f328(f240(x83591),x83592),f328(f328(f291(x83591),x83594),f328(f108(x83591),x83593))))
% 28.33/28.23 [8360]~P71(x83601)+~P95(x83601)+P107(f328(f328(f239(x83601),x83602),f2(x83601)))+P107(f328(f328(f240(x83601),f328(f108(x83601),x83603)),f2(x83601)))+P107(f328(f328(f240(x83601),f2(x83601)),f328(f108(x83601),x83603)))+~P107(f328(f328(f239(x83601),x83602),f328(f328(f291(x83601),x83604),f328(f108(x83601),x83603))))
% 28.33/28.23 [8552]~P71(x85521)+~P95(x85521)+~P107(f328(f328(f240(x85521),x85523),f2(x85521)))+P107(f328(f328(f240(x85521),f2(x85521)),f328(f108(x85521),x85522)))+~P107(f328(f328(f240(x85521),x85524),f328(f328(f84(x85521),x85523),f328(f108(x85521),x85522))))+P107(f328(f328(f240(x85521),x85523),f328(f328(f291(x85521),x85524),f328(f108(x85521),x85522))))
% 28.33/28.23 [8553]~P71(x85531)+~P95(x85531)+~P107(f328(f328(f239(x85531),x85533),f2(x85531)))+P107(f328(f328(f240(x85531),f2(x85531)),f328(f108(x85531),x85532)))+~P107(f328(f328(f239(x85531),x85534),f328(f328(f84(x85531),x85533),f328(f108(x85531),x85532))))+P107(f328(f328(f239(x85531),x85533),f328(f328(f291(x85531),x85534),f328(f108(x85531),x85532))))
% 28.33/28.23 [8724]~P71(x87241)+~P95(x87241)+~P107(f328(f328(f240(x87241),f328(f108(x87241),x87242)),f2(x87241)))+P107(f328(f328(f240(x87241),f2(x87241)),f328(f108(x87241),x87242)))+~P107(f328(f328(f240(x87241),x87244),f328(f328(f84(x87241),x87243),f328(f108(x87241),x87242))))+P107(f328(f328(f240(x87241),x87243),f328(f328(f291(x87241),x87244),f328(f108(x87241),x87242))))
% 28.33/28.23 [8725]~P71(x87251)+~P95(x87251)+~P107(f328(f328(f240(x87251),f328(f108(x87251),x87252)),f2(x87251)))+P107(f328(f328(f240(x87251),f2(x87251)),f328(f108(x87251),x87252)))+~P107(f328(f328(f240(x87251),x87254),f328(f328(f291(x87251),x87253),f328(f108(x87251),x87252))))+P107(f328(f328(f240(x87251),x87253),f328(f328(f84(x87251),x87254),f328(f108(x87251),x87252))))
% 28.33/28.23 [8726]~P71(x87261)+~P95(x87261)+~P107(f328(f328(f240(x87261),f328(f108(x87261),x87262)),f2(x87261)))+P107(f328(f328(f240(x87261),f2(x87261)),f328(f108(x87261),x87262)))+~P107(f328(f328(f239(x87261),x87264),f328(f328(f84(x87261),x87263),f328(f108(x87261),x87262))))+P107(f328(f328(f239(x87261),x87263),f328(f328(f291(x87261),x87264),f328(f108(x87261),x87262))))
% 28.33/28.23 [8727]~P71(x87271)+~P95(x87271)+~P107(f328(f328(f240(x87271),f328(f108(x87271),x87272)),f2(x87271)))+P107(f328(f328(f240(x87271),f2(x87271)),f328(f108(x87271),x87272)))+~P107(f328(f328(f239(x87271),x87274),f328(f328(f291(x87271),x87273),f328(f108(x87271),x87272))))+P107(f328(f328(f239(x87271),x87273),f328(f328(f84(x87271),x87274),f328(f108(x87271),x87272))))
% 28.33/28.23 [7510]E(x75101,f2(a1))+E(f328(f328(f39(a1),x75102),x75101),x75103)+~P107(f328(f328(f239(a1),x75104),f2(a1)))+~E(x75102,f328(f328(f83(a1),f328(f328(f84(a1),x75101),x75103)),x75104))+P107(f328(f328(f240(a1),f2(a1)),x75101))+~P107(f328(f328(f240(a1),x75101),x75104))
% 28.33/28.23 [7525]E(f48(a1,x75252,x75251),x75253)+E(x75251,f2(a1))+~P107(f328(f328(f239(a1),x75253),f2(a1)))+~E(x75252,f328(f328(f83(a1),f328(f328(f84(a1),x75251),x75254)),x75253))+P107(f328(f328(f240(a1),f2(a1)),x75251))+~P107(f328(f328(f240(a1),x75251),x75253))
% 28.33/28.23 [7649]E(x76491,f2(a1))+E(f328(f328(f39(a1),x76492),x76491),x76493)+~E(x76492,f328(f328(f83(a1),f328(f328(f84(a1),x76491),x76493)),x76494))+~P107(f328(f328(f240(a1),f2(a1)),x76491))+~P107(f328(f328(f239(a1),f2(a1)),x76494))+~P107(f328(f328(f240(a1),x76494),x76491))
% 28.33/28.23 [7669]E(f48(a1,x76692,x76691),x76693)+E(x76691,f2(a1))+~E(x76692,f328(f328(f83(a1),f328(f328(f84(a1),x76691),x76694)),x76693))+~P107(f328(f328(f240(a1),f2(a1)),x76691))+~P107(f328(f328(f239(a1),f2(a1)),x76693))+~P107(f328(f328(f240(a1),x76693),x76691))
% 28.33/28.23 [7811]~P109(x78112)+E(x78111,f190(f918(x78112,a905)))+~P107(f328(f64(x78112),x78111))+~P107(f328(f328(f330(x78112),x78114),x78111))+~P107(f328(f328(f240(x78112),x78114),x78113))+P107(f328(f328(f240(x78112),f328(f66(x78112,f243(x78112)),x78111)),x78113))
% 28.33/28.23 [7812]~P109(x78122)+E(x78121,f190(f918(x78122,a905)))+~P107(f328(f64(x78122),x78121))+~P107(f328(f328(f330(x78122),x78124),x78121))+~P107(f328(f328(f239(x78122),x78124),x78123))+P107(f328(f328(f239(x78122),f328(f66(x78122,f243(x78122)),x78121)),x78123))
% 28.33/28.23 [8389]~P107(f328(f328(f239(a1),x83894),f2(a1)))+~E(x83891,f328(f328(f83(a1),f328(f328(f84(a1),x83892),x83893)),x83894))+~P107(f328(f328(f239(a1),f2(a1)),x83894))+~P107(f328(f328(f240(a1),x83894),x83892))+~P107(f328(f328(f240(a1),x83892),x83894))+P107(f328(f52(x83891,x83892),f328(f328(f256(a1,a1),x83893),x83894)))
% 28.33/28.23 [8513]~P71(x85131)+~P95(x85131)+P107(f328(f328(f240(x85131),f328(f108(x85131),x85132)),f2(x85131)))+~P107(f328(f328(f240(x85131),f2(x85131)),x85134))+P107(f328(f328(f240(x85131),f2(x85131)),f328(f108(x85131),x85132)))+P107(f328(f328(f240(x85131),f328(f328(f291(x85131),x85133),f328(f108(x85131),x85132))),x85134))
% 28.33/28.23 [8514]~P71(x85141)+~P95(x85141)+P107(f328(f328(f240(x85141),f328(f108(x85141),x85142)),f2(x85141)))+~P107(f328(f328(f239(x85141),f2(x85141)),x85144))+P107(f328(f328(f240(x85141),f2(x85141)),f328(f108(x85141),x85142)))+P107(f328(f328(f239(x85141),f328(f328(f291(x85141),x85143),f328(f108(x85141),x85142))),x85144))
% 28.33/28.23 [8633]~P71(x86331)+~P95(x86331)+~P107(f328(f328(f240(x86331),x86332),f2(x86331)))+P107(f328(f328(f240(x86331),f2(x86331)),x86332))+~P107(f328(f328(f240(x86331),f328(f108(x86331),x86334)),f328(f328(f291(x86331),x86333),x86332)))+P107(f328(f328(f240(x86331),x86333),f328(f328(f84(x86331),f328(f108(x86331),x86334)),x86332)))
% 28.33/28.23 [8634]~P71(x86341)+~P95(x86341)+~P107(f328(f328(f240(x86341),x86342),f2(x86341)))+P107(f328(f328(f240(x86341),f2(x86341)),x86342))+~P107(f328(f328(f239(x86341),f328(f108(x86341),x86344)),f328(f328(f291(x86341),x86343),x86342)))+P107(f328(f328(f239(x86341),x86343),f328(f328(f84(x86341),f328(f108(x86341),x86344)),x86342)))
% 28.33/28.23 [8672]~P71(x86721)+~P95(x86721)+~P107(f328(f328(f240(x86721),x86722),f2(x86721)))+P107(f328(f328(f240(x86721),f2(x86721)),x86722))+P107(f328(f328(f240(x86721),f328(f108(x86721),x86723)),f328(f328(f291(x86721),x86724),x86722)))+~P107(f328(f328(f240(x86721),x86724),f328(f328(f84(x86721),f328(f108(x86721),x86723)),x86722)))
% 28.33/28.23 [8673]~P71(x86731)+~P95(x86731)+~P107(f328(f328(f240(x86731),x86732),f2(x86731)))+P107(f328(f328(f240(x86731),f2(x86731)),x86732))+P107(f328(f328(f239(x86731),f328(f108(x86731),x86733)),f328(f328(f291(x86731),x86734),x86732)))+~P107(f328(f328(f239(x86731),x86734),f328(f328(f84(x86731),f328(f108(x86731),x86733)),x86732)))
% 28.33/28.23 [8764]~P71(x87641)+~P95(x87641)+P107(f328(f328(f240(x87641),f328(f108(x87641),x87643)),f2(x87641)))+P107(f328(f328(f240(x87641),f2(x87641)),x87642))+P107(f328(f328(f240(x87641),f2(x87641)),f328(f108(x87641),x87643)))+~P107(f328(f328(f240(x87641),f328(f328(f291(x87641),x87644),f328(f108(x87641),x87643))),x87642))
% 28.33/28.23 [8765]~P71(x87651)+~P95(x87651)+P107(f328(f328(f240(x87651),f328(f108(x87651),x87653)),f2(x87651)))+P107(f328(f328(f239(x87651),f2(x87651)),x87652))+P107(f328(f328(f240(x87651),f2(x87651)),f328(f108(x87651),x87653)))+~P107(f328(f328(f239(x87651),f328(f328(f291(x87651),x87654),f328(f108(x87651),x87653))),x87652))
% 28.33/28.23 [8813]~P71(x88131)+~P95(x88131)+~P107(f328(f328(f240(x88131),f328(f108(x88131),x88133)),f2(x88131)))+P107(f328(f328(f240(x88131),f2(x88131)),x88132))+P107(f328(f328(f240(x88131),f328(f108(x88131),x88133)),f328(f328(f291(x88131),x88134),x88132)))+~P107(f328(f328(f240(x88131),x88134),f328(f328(f84(x88131),f328(f108(x88131),x88133)),x88132)))
% 28.33/28.23 [8814]~P71(x88141)+~P95(x88141)+~P107(f328(f328(f239(x88141),f328(f108(x88141),x88143)),f2(x88141)))+P107(f328(f328(f240(x88141),f2(x88141)),x88142))+P107(f328(f328(f239(x88141),f328(f108(x88141),x88143)),f328(f328(f291(x88141),x88144),x88142)))+~P107(f328(f328(f239(x88141),x88144),f328(f328(f84(x88141),f328(f108(x88141),x88143)),x88142)))
% 28.33/28.23 [8821]~P71(x88211)+~P95(x88211)+P107(f328(f328(f240(x88211),x88212),f2(x88211)))+P107(f328(f328(f240(x88211),f328(f328(f291(x88211),x88213),x88212)),f328(f108(x88211),x88214)))+~P107(f328(f328(f240(x88211),f2(x88211)),f328(f108(x88211),x88214)))+~P107(f328(f328(f240(x88211),x88213),f328(f328(f84(x88211),f328(f108(x88211),x88214)),x88212)))
% 28.33/28.23 [8822]~P71(x88221)+~P95(x88221)+P107(f328(f328(f240(x88221),x88222),f2(x88221)))+P107(f328(f328(f239(x88221),f328(f328(f291(x88221),x88223),x88222)),f328(f108(x88221),x88224)))+~P107(f328(f328(f239(x88221),f2(x88221)),f328(f108(x88221),x88224)))+~P107(f328(f328(f239(x88221),x88223),f328(f328(f84(x88221),f328(f108(x88221),x88224)),x88222)))
% 28.33/28.23 [8842]~P71(x88421)+~P95(x88421)+P107(f328(f328(f240(x88421),f328(f108(x88421),x88422)),f2(x88421)))+~P107(f328(f328(f240(x88421),f2(x88421)),x88424))+~P107(f328(f328(f240(x88421),x88423),f328(f328(f84(x88421),x88424),f328(f108(x88421),x88422))))+P107(f328(f328(f240(x88421),f328(f328(f291(x88421),x88423),f328(f108(x88421),x88422))),x88424))
% 28.33/28.23 [8843]~P71(x88431)+~P95(x88431)+P107(f328(f328(f240(x88431),f328(f108(x88431),x88432)),f2(x88431)))+~P107(f328(f328(f239(x88431),f2(x88431)),x88434))+~P107(f328(f328(f239(x88431),x88433),f328(f328(f84(x88431),x88434),f328(f108(x88431),x88432))))+P107(f328(f328(f239(x88431),f328(f328(f291(x88431),x88433),f328(f108(x88431),x88432))),x88434))
% 28.33/28.23 [8930]~P71(x89301)+~P95(x89301)+P107(f328(f328(f240(x89301),f328(f108(x89301),x89302)),f2(x89301)))+~P107(f328(f328(f240(x89301),x89303),f2(x89301)))+P107(f328(f328(f240(x89301),x89303),f328(f328(f291(x89301),x89304),f328(f108(x89301),x89302))))+~P107(f328(f328(f240(x89301),f328(f328(f84(x89301),x89303),f328(f108(x89301),x89302))),x89304))
% 28.33/28.23 [8931]~P71(x89311)+~P95(x89311)+P107(f328(f328(f240(x89311),f328(f108(x89311),x89312)),f2(x89311)))+~P107(f328(f328(f239(x89311),x89313),f2(x89311)))+P107(f328(f328(f239(x89311),x89313),f328(f328(f291(x89311),x89314),f328(f108(x89311),x89312))))+~P107(f328(f328(f239(x89311),f328(f328(f84(x89311),x89313),f328(f108(x89311),x89312))),x89314))
% 28.33/28.23 [9046]~P71(x90461)+~P95(x90461)+~P107(f328(f328(f240(x90461),f2(x90461)),x90464))+P107(f328(f328(f240(x90461),f2(x90461)),f328(f108(x90461),x90462)))+~P107(f328(f328(f240(x90461),f328(f328(f84(x90461),x90464),f328(f108(x90461),x90462))),x90463))+P107(f328(f328(f240(x90461),f328(f328(f291(x90461),x90463),f328(f108(x90461),x90462))),x90464))
% 28.33/28.23 [9047]~P71(x90471)+~P95(x90471)+~P107(f328(f328(f239(x90471),f2(x90471)),x90474))+P107(f328(f328(f240(x90471),f2(x90471)),f328(f108(x90471),x90472)))+~P107(f328(f328(f239(x90471),f328(f328(f84(x90471),x90474),f328(f108(x90471),x90472))),x90473))+P107(f328(f328(f239(x90471),f328(f328(f291(x90471),x90473),f328(f108(x90471),x90472))),x90474))
% 28.33/28.23 [9102]~P71(x91021)+~P95(x91021)+~P107(f328(f328(f240(x91021),x91022),f2(x91021)))+P107(f328(f328(f240(x91021),x91022),f328(f328(f291(x91021),x91023),f328(f108(x91021),x91024))))+~P107(f328(f328(f240(x91021),x91023),f328(f328(f84(x91021),x91022),f328(f108(x91021),x91024))))+~P107(f328(f328(f240(x91021),f328(f328(f84(x91021),x91022),f328(f108(x91021),x91024))),x91023))
% 28.33/28.23 [9103]~P71(x91031)+~P95(x91031)+~P107(f328(f328(f239(x91031),x91032),f2(x91031)))+P107(f328(f328(f239(x91031),x91032),f328(f328(f291(x91031),x91033),f328(f108(x91031),x91034))))+~P107(f328(f328(f239(x91031),x91033),f328(f328(f84(x91031),x91032),f328(f108(x91031),x91034))))+~P107(f328(f328(f239(x91031),f328(f328(f84(x91031),x91032),f328(f108(x91031),x91034))),x91033))
% 28.33/28.23 [9130]~P71(x91301)+~P95(x91301)+~P107(f328(f328(f240(x91301),f328(f108(x91301),x91302)),f2(x91301)))+P107(f328(f328(f240(x91301),f2(x91301)),f328(f108(x91301),x91302)))+~P107(f328(f328(f240(x91301),f328(f328(f291(x91301),x91304),f328(f108(x91301),x91302))),x91303))+P107(f328(f328(f240(x91301),f328(f328(f84(x91301),x91303),f328(f108(x91301),x91302))),x91304))
% 28.33/28.23 [9131]~P71(x91311)+~P95(x91311)+~P107(f328(f328(f240(x91311),f328(f108(x91311),x91312)),f2(x91311)))+P107(f328(f328(f240(x91311),f2(x91311)),f328(f108(x91311),x91312)))+~P107(f328(f328(f240(x91311),f328(f328(f84(x91311),x91314),f328(f108(x91311),x91312))),x91313))+P107(f328(f328(f240(x91311),f328(f328(f291(x91311),x91313),f328(f108(x91311),x91312))),x91314))
% 28.33/28.23 [9132]~P71(x91321)+~P95(x91321)+~P107(f328(f328(f240(x91321),f328(f108(x91321),x91322)),f2(x91321)))+P107(f328(f328(f240(x91321),f2(x91321)),f328(f108(x91321),x91322)))+~P107(f328(f328(f239(x91321),f328(f328(f291(x91321),x91324),f328(f108(x91321),x91322))),x91323))+P107(f328(f328(f239(x91321),f328(f328(f84(x91321),x91323),f328(f108(x91321),x91322))),x91324))
% 28.33/28.23 [9133]~P71(x91331)+~P95(x91331)+~P107(f328(f328(f240(x91331),f328(f108(x91331),x91332)),f2(x91331)))+P107(f328(f328(f240(x91331),f2(x91331)),f328(f108(x91331),x91332)))+~P107(f328(f328(f239(x91331),f328(f328(f84(x91331),x91334),f328(f108(x91331),x91332))),x91333))+P107(f328(f328(f239(x91331),f328(f328(f291(x91331),x91333),f328(f108(x91331),x91332))),x91334))
% 28.33/28.23 [9210]~P71(x92101)+~P95(x92101)+~P107(f328(f328(f240(x92101),f328(f108(x92101),x92104)),f2(x92101)))+P107(f328(f328(f240(x92101),x92102),f328(f328(f291(x92101),x92103),f328(f108(x92101),x92104))))+~P107(f328(f328(f240(x92101),x92103),f328(f328(f84(x92101),x92102),f328(f108(x92101),x92104))))+~P107(f328(f328(f240(x92101),f328(f328(f84(x92101),x92102),f328(f108(x92101),x92104))),x92103))
% 28.33/28.23 [9211]~P71(x92111)+~P95(x92111)+~P107(f328(f328(f240(x92111),f328(f108(x92111),x92114)),f2(x92111)))+P107(f328(f328(f239(x92111),x92112),f328(f328(f291(x92111),x92113),f328(f108(x92111),x92114))))+~P107(f328(f328(f239(x92111),x92113),f328(f328(f84(x92111),x92112),f328(f108(x92111),x92114))))+~P107(f328(f328(f239(x92111),f328(f328(f84(x92111),x92112),f328(f108(x92111),x92114))),x92113))
% 28.33/28.23 [9255]~P71(x92551)+~P95(x92551)+~P107(f328(f328(f240(x92551),f2(x92551)),x92554))+~P107(f328(f328(f240(x92551),x92552),f328(f328(f84(x92551),x92554),f328(f108(x92551),x92553))))+~P107(f328(f328(f240(x92551),f328(f328(f84(x92551),x92554),f328(f108(x92551),x92553))),x92552))+P107(f328(f328(f240(x92551),f328(f328(f291(x92551),x92552),f328(f108(x92551),x92553))),x92554))
% 28.33/28.23 [9256]~P71(x92561)+~P95(x92561)+~P107(f328(f328(f239(x92561),f2(x92561)),x92564))+~P107(f328(f328(f239(x92561),x92562),f328(f328(f84(x92561),x92564),f328(f108(x92561),x92563))))+~P107(f328(f328(f239(x92561),f328(f328(f84(x92561),x92564),f328(f108(x92561),x92563))),x92562))+P107(f328(f328(f239(x92561),f328(f328(f291(x92561),x92562),f328(f108(x92561),x92563))),x92564))
% 28.33/28.23 [9298]~P71(x92981)+~P95(x92981)+~P107(f328(f328(f240(x92981),f328(f108(x92981),x92983)),f2(x92981)))+~P107(f328(f328(f240(x92981),x92982),f328(f328(f84(x92981),x92984),f328(f108(x92981),x92983))))+~P107(f328(f328(f240(x92981),f328(f328(f84(x92981),x92984),f328(f108(x92981),x92983))),x92982))+P107(f328(f328(f240(x92981),f328(f328(f291(x92981),x92982),f328(f108(x92981),x92983))),x92984))
% 28.33/28.23 [9299]~P71(x92991)+~P95(x92991)+~P107(f328(f328(f240(x92991),f328(f108(x92991),x92993)),f2(x92991)))+~P107(f328(f328(f239(x92991),x92992),f328(f328(f84(x92991),x92994),f328(f108(x92991),x92993))))+~P107(f328(f328(f239(x92991),f328(f328(f84(x92991),x92994),f328(f108(x92991),x92993))),x92992))+P107(f328(f328(f239(x92991),f328(f328(f291(x92991),x92992),f328(f108(x92991),x92993))),x92994))
% 28.33/28.23 [8991]~P71(x89911)+~P95(x89911)+~P107(f328(f328(f240(x89911),x89912),f2(x89911)))+~P107(f328(f328(f240(x89911),f328(f328(f291(x89911),x89914),x89912)),f328(f108(x89911),x89913)))+P107(f328(f328(f240(x89911),f2(x89911)),x89912))+P107(f328(f328(f240(x89911),f328(f328(f84(x89911),f328(f108(x89911),x89913)),x89912)),x89914))
% 28.33/28.23 [8992]~P71(x89921)+~P95(x89921)+~P107(f328(f328(f240(x89921),x89922),f2(x89921)))+~P107(f328(f328(f239(x89921),f328(f328(f291(x89921),x89924),x89922)),f328(f108(x89921),x89923)))+P107(f328(f328(f240(x89921),f2(x89921)),x89922))+P107(f328(f328(f239(x89921),f328(f328(f84(x89921),f328(f108(x89921),x89923)),x89922)),x89924))
% 28.33/28.23 [9106]~P71(x91061)+~P95(x91061)+~P107(f328(f328(f240(x91061),x91062),f2(x91061)))+P107(f328(f328(f240(x91061),f2(x91061)),x91062))+P107(f328(f328(f240(x91061),f328(f328(f291(x91061),x91063),x91062)),f328(f108(x91061),x91064)))+~P107(f328(f328(f240(x91061),f328(f328(f84(x91061),f328(f108(x91061),x91064)),x91062)),x91063))
% 28.33/28.23 [9107]~P71(x91071)+~P95(x91071)+~P107(f328(f328(f240(x91071),x91072),f2(x91071)))+P107(f328(f328(f240(x91071),f2(x91071)),x91072))+P107(f328(f328(f239(x91071),f328(f328(f291(x91071),x91073),x91072)),f328(f108(x91071),x91074)))+~P107(f328(f328(f239(x91071),f328(f328(f84(x91071),f328(f108(x91071),x91074)),x91072)),x91073))
% 28.33/28.23 [9145]~P71(x91451)+~P95(x91451)+P107(f328(f328(f240(x91451),x91452),f2(x91451)))+~P107(f328(f328(f240(x91451),f328(f108(x91451),x91453)),f2(x91451)))+P107(f328(f328(f240(x91451),f328(f108(x91451),x91453)),f328(f328(f291(x91451),x91454),x91452)))+~P107(f328(f328(f240(x91451),f328(f328(f84(x91451),f328(f108(x91451),x91453)),x91452)),x91454))
% 28.33/28.23 [9146]~P71(x91461)+~P95(x91461)+P107(f328(f328(f240(x91461),x91462),f2(x91461)))+~P107(f328(f328(f239(x91461),f328(f108(x91461),x91463)),f2(x91461)))+P107(f328(f328(f239(x91461),f328(f108(x91461),x91463)),f328(f328(f291(x91461),x91464),x91462)))+~P107(f328(f328(f239(x91461),f328(f328(f84(x91461),f328(f108(x91461),x91463)),x91462)),x91464))
% 28.33/28.23 [9162]~P71(x91621)+~P95(x91621)+P107(f328(f328(f240(x91621),f2(x91621)),x91622))+P107(f328(f328(f240(x91621),f328(f328(f291(x91621),x91623),x91622)),f328(f108(x91621),x91624)))+~P107(f328(f328(f240(x91621),f2(x91621)),f328(f108(x91621),x91624)))+~P107(f328(f328(f240(x91621),f328(f328(f84(x91621),f328(f108(x91621),x91624)),x91622)),x91623))
% 28.33/28.23 [9163]~P71(x91631)+~P95(x91631)+P107(f328(f328(f240(x91631),f2(x91631)),x91632))+P107(f328(f328(f239(x91631),f328(f328(f291(x91631),x91633),x91632)),f328(f108(x91631),x91634)))+~P107(f328(f328(f239(x91631),f2(x91631)),f328(f108(x91631),x91634)))+~P107(f328(f328(f239(x91631),f328(f328(f84(x91631),f328(f108(x91631),x91634)),x91632)),x91633))
% 28.33/28.23 [9330]~P71(x93301)+~P95(x93301)+~P107(f328(f328(f240(x93301),x93304),f2(x93301)))+P107(f328(f328(f240(x93301),f328(f108(x93301),x93302)),f328(f328(f291(x93301),x93303),x93304)))+~P107(f328(f328(f240(x93301),x93303),f328(f328(f84(x93301),f328(f108(x93301),x93302)),x93304)))+~P107(f328(f328(f240(x93301),f328(f328(f84(x93301),f328(f108(x93301),x93302)),x93304)),x93303))
% 28.33/28.23 [9331]~P71(x93311)+~P95(x93311)+~P107(f328(f328(f240(x93311),x93314),f2(x93311)))+P107(f328(f328(f239(x93311),f328(f108(x93311),x93312)),f328(f328(f291(x93311),x93313),x93314)))+~P107(f328(f328(f239(x93311),x93313),f328(f328(f84(x93311),f328(f108(x93311),x93312)),x93314)))+~P107(f328(f328(f239(x93311),f328(f328(f84(x93311),f328(f108(x93311),x93312)),x93314)),x93313))
% 28.33/28.23 [9362]~P71(x93621)+~P95(x93621)+~P107(f328(f328(f240(x93621),x93623),f2(x93621)))+P107(f328(f328(f240(x93621),f328(f328(f291(x93621),x93622),x93623)),f328(f108(x93621),x93624)))+~P107(f328(f328(f240(x93621),x93622),f328(f328(f84(x93621),f328(f108(x93621),x93624)),x93623)))+~P107(f328(f328(f240(x93621),f328(f328(f84(x93621),f328(f108(x93621),x93624)),x93623)),x93622))
% 28.33/28.23 [9363]~P71(x93631)+~P95(x93631)+~P107(f328(f328(f240(x93631),x93633),f2(x93631)))+P107(f328(f328(f239(x93631),f328(f328(f291(x93631),x93632),x93633)),f328(f108(x93631),x93634)))+~P107(f328(f328(f239(x93631),x93632),f328(f328(f84(x93631),f328(f108(x93631),x93634)),x93633)))+~P107(f328(f328(f239(x93631),f328(f328(f84(x93631),f328(f108(x93631),x93634)),x93633)),x93632))
% 28.33/28.23 [9380]~P71(x93801)+~P95(x93801)+~P107(f328(f328(f240(x93801),f328(f108(x93801),x93802)),f2(x93801)))+P107(f328(f328(f240(x93801),f328(f108(x93801),x93802)),f328(f328(f291(x93801),x93803),x93804)))+~P107(f328(f328(f240(x93801),x93803),f328(f328(f84(x93801),f328(f108(x93801),x93802)),x93804)))+~P107(f328(f328(f240(x93801),f328(f328(f84(x93801),f328(f108(x93801),x93802)),x93804)),x93803))
% 28.33/28.23 [9381]~P71(x93811)+~P95(x93811)+~P107(f328(f328(f239(x93811),f328(f108(x93811),x93812)),f2(x93811)))+P107(f328(f328(f239(x93811),f328(f108(x93811),x93812)),f328(f328(f291(x93811),x93813),x93814)))+~P107(f328(f328(f239(x93811),x93813),f328(f328(f84(x93811),f328(f108(x93811),x93812)),x93814)))+~P107(f328(f328(f239(x93811),f328(f328(f84(x93811),f328(f108(x93811),x93812)),x93814)),x93813))
% 28.33/28.23 [9385]~P71(x93851)+~P95(x93851)+P107(f328(f328(f240(x93851),f328(f328(f291(x93851),x93852),x93853)),f328(f108(x93851),x93854)))+~P107(f328(f328(f240(x93851),f2(x93851)),f328(f108(x93851),x93854)))+~P107(f328(f328(f240(x93851),x93852),f328(f328(f84(x93851),f328(f108(x93851),x93854)),x93853)))+~P107(f328(f328(f240(x93851),f328(f328(f84(x93851),f328(f108(x93851),x93854)),x93853)),x93852))
% 28.33/28.23 [9386]~P71(x93861)+~P95(x93861)+P107(f328(f328(f239(x93861),f328(f328(f291(x93861),x93862),x93863)),f328(f108(x93861),x93864)))+~P107(f328(f328(f239(x93861),f2(x93861)),f328(f108(x93861),x93864)))+~P107(f328(f328(f239(x93861),x93862),f328(f328(f84(x93861),f328(f108(x93861),x93864)),x93863)))+~P107(f328(f328(f239(x93861),f328(f328(f84(x93861),f328(f108(x93861),x93864)),x93863)),x93862))
% 28.33/28.23 [6204]~P114(x62042)+~P134(x62042)+~E(f328(x62043,x62045),f2(x62042))+E(f328(f328(f11(x62041,x62042),x62043),x62044),f2(x62042))+~P107(f328(f64(x62041),x62044))+~P107(f328(f328(f330(x62041),x62045),x62044))
% 28.33/28.23 [8557]~P111(x85571)+P107(f328(f328(f240(f918(x85571,a905)),f304(x85571,x85572,x85573)),f304(x85571,x85574,x85575)))+~P107(f328(f328(f240(x85571),x85573),x85575))+~P107(f328(f328(f239(x85571),x85574),x85572))+~P107(f328(f328(f239(x85571),x85574),x85575))+~P107(f328(f328(f239(x85571),x85573),x85575))
% 28.33/28.23 [8558]~P111(x85581)+P107(f328(f328(f240(f918(x85581,a905)),f304(x85581,x85582,x85583)),f304(x85581,x85584,x85585)))+~P107(f328(f328(f240(x85581),x85584),x85582))+~P107(f328(f328(f239(x85581),x85583),x85585))+~P107(f328(f328(f239(x85581),x85584),x85585))+~P107(f328(f328(f239(x85581),x85584),x85582))
% 28.33/28.23 [9409]P65(x94092,x94093,x94094,x94091)+E(x94091,f190(f918(x94092,a905)))+~P107(f328(f64(x94092),x94094))+~P107(f328(f64(x94092),x94091))+~P107(f328(f328(x94093,f505(x94091,x94094,x94093,x94092)),x94095))+~P107(f328(f328(f330(x94092),x94095),x94091))
% 28.33/28.23 [9410]P65(x94102,x94103,x94104,x94101)+E(x94101,f190(f918(x94102,a905)))+~P107(f328(f64(x94102),x94104))+~P107(f328(f64(x94102),x94101))+~P107(f328(f328(x94103,f823(x94103,x94101,x94104,x94102)),x94105))+~P107(f328(f328(f330(x94102),x94105),x94101))
% 28.33/28.23 [9411]P65(x94112,x94113,x94114,x94111)+E(x94111,f190(f918(x94112,a905)))+~P107(f328(f64(x94112),x94114))+~P107(f328(f64(x94112),x94111))+~P107(f328(f328(x94113,f824(x94111,x94114,x94113,x94112)),x94115))+~P107(f328(f328(f330(x94112),x94115),x94111))
% 28.33/28.23 [9555]~E(x95553,x95555)+~P76(x95551)+~P78(x95551)+~P46(x95553)+E(f328(f328(f11(a1,x95551),x95552),x95553),f328(f328(f11(a1,x95551),x95554),x95555))+P107(f328(f328(f239(a1),f2(a1)),f496(x95552,x95554,x95553,x95555,x95551)))
% 28.33/28.23 [9556]~E(x95563,x95565)+~P76(x95561)+~P78(x95561)+~P46(x95563)+E(f328(f328(f8(a1,x95561),x95562),x95563),f328(f328(f8(a1,x95561),x95564),x95565))+P107(f328(f328(f239(a1),f2(a1)),f498(x95562,x95564,x95563,x95565,x95561)))
% 28.33/28.23 [9725]~E(x97255,x97253)+~P76(x97251)+~P78(x97251)+~P46(x97255)+~E(f328(x97252,f496(x97254,x97252,x97255,x97253,x97251)),f328(x97254,f496(x97254,x97252,x97255,x97253,x97251)))+E(f328(f328(f11(a1,x97251),x97252),x97253),f328(f328(f11(a1,x97251),x97254),x97255))
% 28.33/28.23 [9726]~E(x97265,x97263)+~P76(x97261)+~P78(x97261)+~P46(x97265)+~E(f328(x97262,f498(x97264,x97262,x97265,x97263,x97261)),f328(x97264,f498(x97264,x97262,x97265,x97263,x97261)))+E(f328(f328(f8(a1,x97261),x97262),x97263),f328(f328(f8(a1,x97261),x97264),x97265))
% 28.33/28.23 [9812]~P82(x98123)+E(f328(x98121,x98122),f2(x98123))+~E(f328(f328(f8(x98124,x98123),x98121),x98125),f2(x98123))+~P107(f328(f64(x98124),x98125))+P107(f328(f328(f330(x98124),f493(x98122,x98121,x98125,x98124,x98123)),x98125))+~P107(f328(f328(f330(x98124),x98122),x98125))
% 28.33/28.23 [9940]~P82(x99403)+E(f328(x99401,x99402),f2(x99403))+~E(f328(f328(f8(x99404,x99403),x99401),x99405),f2(x99403))+~P107(f328(f64(x99404),x99405))+~P107(f328(f328(f330(x99404),x99402),x99405))+~P107(f328(f328(f239(x99403),f2(x99403)),f328(x99401,f493(x99402,x99401,x99405,x99404,x99403))))
% 28.33/28.23 [8474]~P130(x84741)+~P107(f328(f328(f239(x84741),f2(x84741)),x84743))+~P107(f328(f328(f240(x84741),x84743),x84745))+~P107(f328(f328(f240(x84741),x84742),x84744))+~P107(f328(f328(f240(x84741),f2(x84741)),x84744))+P107(f328(f328(f240(x84741),f328(f328(f84(x84741),x84742),x84743)),f328(f328(f84(x84741),x84744),x84745)))
% 28.33/28.23 [8475]~P130(x84751)+~P107(f328(f328(f239(x84751),f2(x84751)),x84753))+~P107(f328(f328(f239(x84751),f2(x84751)),x84752))+~P107(f328(f328(f240(x84751),x84753),x84755))+~P107(f328(f328(f240(x84751),x84752),x84754))+P107(f328(f328(f240(x84751),f328(f328(f84(x84751),x84752),x84753)),f328(f328(f84(x84751),x84754),x84755)))
% 28.33/28.23 [8476]~P130(x84761)+~P107(f328(f328(f239(x84761),x84762),x84764))+~P107(f328(f328(f239(x84761),f2(x84761)),x84763))+~P107(f328(f328(f240(x84761),x84763),x84765))+~P107(f328(f328(f240(x84761),f2(x84761)),x84762))+P107(f328(f328(f240(x84761),f328(f328(f84(x84761),x84762),x84763)),f328(f328(f84(x84761),x84764),x84765)))
% 28.33/28.23 [8477]~P130(x84771)+~P107(f328(f328(f239(x84771),x84773),x84775))+~P107(f328(f328(f239(x84771),f2(x84771)),x84772))+~P107(f328(f328(f240(x84771),x84772),x84774))+~P107(f328(f328(f240(x84771),f2(x84771)),x84773))+P107(f328(f328(f240(x84771),f328(f328(f84(x84771),x84772),x84773)),f328(f328(f84(x84771),x84774),x84775)))
% 28.33/28.23 [8478]~P72(x84781)+~P107(f328(f328(f239(x84781),x84782),x84784))+~P107(f328(f328(f240(x84781),x84785),x84783))+~P107(f328(f328(f240(x84781),f2(x84781)),x84785))+~P107(f328(f328(f240(x84781),f2(x84781)),x84782))+P107(f328(f328(f240(x84781),f328(f328(f291(x84781),x84782),x84783)),f328(f328(f291(x84781),x84784),x84785)))
% 28.33/28.23 [8479]~P72(x84791)+~P107(f328(f328(f239(x84791),x84795),x84793))+~P107(f328(f328(f239(x84791),f2(x84791)),x84792))+~P107(f328(f328(f240(x84791),x84792),x84794))+~P107(f328(f328(f240(x84791),f2(x84791)),x84795))+P107(f328(f328(f240(x84791),f328(f328(f291(x84791),x84792),x84793)),f328(f328(f291(x84791),x84794),x84795)))
% 28.33/28.23 [8480]~P138(x84801)+~P107(f328(f328(f239(x84801),x84803),x84805))+~P107(f328(f328(f239(x84801),x84802),x84804))+~P107(f328(f328(f239(x84801),f2(x84801)),x84803))+~P107(f328(f328(f239(x84801),f2(x84801)),x84804))+P107(f328(f328(f239(x84801),f328(f328(f84(x84801),x84802),x84803)),f328(f328(f84(x84801),x84804),x84805)))
% 28.33/28.23 [8481]~P138(x84811)+~P107(f328(f328(f239(x84811),x84813),x84815))+~P107(f328(f328(f239(x84811),x84812),x84814))+~P107(f328(f328(f239(x84811),f2(x84811)),x84813))+~P107(f328(f328(f239(x84811),f2(x84811)),x84812))+P107(f328(f328(f239(x84811),f328(f328(f84(x84811),x84812),x84813)),f328(f328(f84(x84811),x84814),x84815)))
% 28.33/28.23 [8482]~P72(x84821)+~P107(f328(f328(f240(x84821),f2(x84821)),x84825))+~P107(f328(f328(f239(x84821),x84825),x84823))+~P107(f328(f328(f239(x84821),x84822),x84824))+~P107(f328(f328(f239(x84821),f2(x84821)),x84822))+P107(f328(f328(f239(x84821),f328(f328(f291(x84821),x84822),x84823)),f328(f328(f291(x84821),x84824),x84825)))
% 28.33/28.23 [9853]~P87(x98535)+~P76(x98535)+E(x98531,f190(f918(x98532,a905)))+~P107(f328(f64(x98532),x98531))+P107(f328(f328(f330(x98532),f497(x98533,x98534,x98531,x98532,x98535)),x98531))+P107(f328(f328(f240(x98535),f328(f328(f8(x98532,x98535),x98534),x98531)),f328(f328(f8(x98532,x98535),x98533),x98531)))
% 28.33/28.23 [9963]~P76(x99631)+~P85(x99631)+~P107(f328(f64(x99632),x99635))+~P107(f328(f328(f239(x99631),f2(x99631)),f328(x99633,f487(x99633,x99634,x99635,x99632,x99631))))+P107(f328(f328(f239(x99631),f328(f328(f8(x99632,x99631),x99633),x99634)),f328(f328(f8(x99632,x99631),x99633),x99635)))+~P107(f328(f328(f239(f918(x99632,a905)),x99634),x99635))
% 28.33/28.23 [10120]~P87(x101203)+~P76(x101203)+E(x101201,f190(f918(x101202,a905)))+~P107(f328(f64(x101202),x101201))+~P107(f328(f328(f240(x101203),f328(x101204,f497(x101205,x101204,x101201,x101202,x101203))),f328(x101205,f497(x101205,x101204,x101201,x101202,x101203))))+P107(f328(f328(f240(x101203),f328(f328(f8(x101202,x101203),x101204),x101201)),f328(f328(f8(x101202,x101203),x101205),x101201)))
% 28.33/28.23 [7182]~P22(x71822,x71825,x71824)+E(x71821,f190(f918(x71822,a905)))+E(x71823,f190(f918(x71822,a905)))+~P107(f328(f64(x71822),x71821))+~P107(f328(f64(x71822),x71823))+E(f328(x71824,f328(f328(f105(f918(x71822,a905)),x71823),x71821)),f328(f328(x71825,f328(x71824,x71823)),f328(x71824,x71821)))
% 28.33/28.23 [7778]~P148(x77781,x77783,x77784)+P107(f328(x77781,x77782))+~P107(f328(f328(f240(a1),x77784),f2(a1)))+~P107(f328(f328(f239(a1),x77785),f2(a1)))+~E(x77783,f328(f328(f83(a1),f328(f328(f84(a1),x77784),x77782)),x77785))+~P107(f328(f328(f240(a1),x77784),x77785))
% 28.33/28.23 [7779]~P147(x77791,x77793,x77794)+P107(f328(x77791,x77792))+~P107(f328(f328(f240(a1),x77794),f2(a1)))+~P107(f328(f328(f239(a1),x77792),f2(a1)))+~E(x77793,f328(f328(f83(a1),f328(f328(f84(a1),x77794),x77795)),x77792))+~P107(f328(f328(f240(a1),x77794),x77792))
% 28.33/28.23 [7820]~P148(x78201,x78203,x78204)+P107(f328(x78201,x78202))+~E(x78203,f328(f328(f83(a1),f328(f328(f84(a1),x78204),x78202)),x78205))+~P107(f328(f328(f240(a1),f2(a1)),x78204))+~P107(f328(f328(f239(a1),f2(a1)),x78205))+~P107(f328(f328(f240(a1),x78205),x78204))
% 28.33/28.23 [7821]~P147(x78211,x78213,x78214)+P107(f328(x78211,x78212))+~E(x78213,f328(f328(f83(a1),f328(f328(f84(a1),x78214),x78215)),x78212))+~P107(f328(f328(f240(a1),f2(a1)),x78214))+~P107(f328(f328(f239(a1),f2(a1)),x78212))+~P107(f328(f328(f240(a1),x78212),x78214))
% 28.33/28.23 [8772]P107(f328(f328(x87721,x87722),x87723))+~P107(f328(f328(x87721,f328(f328(f39(a1),x87724),x87725)),f48(a1,x87724,x87725)))+~P107(f328(f328(f240(a1),x87725),f2(a1)))+~P107(f328(f328(f239(a1),x87723),f2(a1)))+~E(x87724,f328(f328(f83(a1),f328(f328(f84(a1),x87725),x87722)),x87723))+~P107(f328(f328(f240(a1),x87725),x87723))
% 28.33/28.23 [8781]P107(f328(f328(x87811,x87812),x87813))+~P107(f328(f328(x87811,f328(f328(f39(a1),x87814),x87815)),f48(a1,x87814,x87815)))+~E(x87814,f328(f328(f83(a1),f328(f328(f84(a1),x87815),x87812)),x87813))+~P107(f328(f328(f240(a1),f2(a1)),x87815))+~P107(f328(f328(f239(a1),f2(a1)),x87813))+~P107(f328(f328(f240(a1),x87813),x87815))
% 28.33/28.23 [9030]E(x90301,x90302)+~P62(x90303,x90305,x90304)+~P107(f328(f328(f330(x90303),x90302),x90305))+~P107(f328(f328(f330(x90303),x90301),x90305))+P107(f328(f328(f330(f917(x90303,x90303)),f328(f328(f256(x90303,x90303),x90301),x90302)),x90304))+P107(f328(f328(f330(f917(x90303,x90303)),f328(f328(f256(x90303,x90303),x90302),x90301)),x90304))
% 28.33/28.23 [9880]~P76(x98805)+~P85(x98805)+~P107(f328(f64(x98801),x98804))+P107(f328(f328(f239(x98805),f328(f328(f8(x98801,x98805),x98802),x98803)),f328(f328(f8(x98801,x98805),x98802),x98804)))+~P107(f328(f328(f239(f918(x98801,a905)),x98803),x98804))+P107(f328(f328(f330(x98801),f487(x98802,x98803,x98804,x98801,x98805)),f328(f328(f3(f918(x98801,a905)),x98804),x98803)))
% 28.33/28.23 [9971]E(x99711,f190(f918(x99712,a905)))+~P107(f328(f64(x99712),x99713))+~P107(f328(f64(x99712),x99711))+P107(f328(f328(f330(f917(f918(x99712,a905),f918(x99712,a905))),f328(f328(f256(f918(x99712,a905),f918(x99712,a905)),x99713),x99711)),f319(x99712,x99714)))+~P107(f328(f328(f330(x99712),x99715),x99711))+~P107(f328(f328(f330(f917(x99712,x99712)),f328(f328(f256(x99712,x99712),f507(x99714,x99711,x99713,x99712)),x99715)),x99714))
% 28.33/28.23 [9972]E(x99721,f190(f918(x99722,a905)))+~P107(f328(f64(x99722),x99723))+~P107(f328(f64(x99722),x99721))+P107(f328(f328(f330(f917(f918(x99722,a905),f918(x99722,a905))),f328(f328(f256(f918(x99722,a905),f918(x99722,a905)),x99723),x99721)),f319(x99722,x99724)))+~P107(f328(f328(f330(x99722),x99725),x99721))+~P107(f328(f328(f330(f917(x99722,x99722)),f328(f328(f256(x99722,x99722),f744(x99724,x99721,x99723,x99722)),x99725)),x99724))
% 28.33/28.23 [10124]~P82(x101241)+~E(f328(f328(f8(x101245,x101241),x101242),x101246),x101244)+~P107(f328(f64(x101245),x101246))+P107(f328(f328(f330(x101245),f494(x101243,x101244,x101242,x101246,x101245,x101241)),x101246))+P107(f328(f328(f239(x101241),f328(x101242,x101243)),x101244))+~P107(f328(f328(f330(x101245),x101243),x101246))
% 28.33/28.23 [10168]~P82(x101681)+~E(f328(f328(f8(x101685,x101681),x101682),x101686),x101684)+~P107(f328(f64(x101685),x101686))+~P107(f328(f328(f330(x101685),x101683),x101686))+~P107(f328(f328(f239(x101681),f2(x101681)),f328(x101682,f494(x101683,x101684,x101682,x101686,x101685,x101681))))+P107(f328(f328(f239(x101681),f328(x101682,x101683)),x101684))
% 28.33/28.23 [10304]~E(x103045,x103048)+~E(x103044,x103047)+~P112(x103041)+~P76(x103042)+E(f328(f328(f8(x103041,x103042),x103043),f328(f303(x103041,x103044),x103045)),f328(f328(f8(x103041,x103042),x103046),f328(f303(x103041,x103047),x103048)))+P107(f328(f328(f239(x103041),x103044),f764(x103043,x103046,x103045,x103048,x103044,x103047,x103041,x103042)))
% 28.33/28.23 [10321]~E(x103217,x103214)+~E(x103218,x103215)+~P112(x103211)+~P76(x103212)+~E(f328(x103213,f764(x103216,x103213,x103218,x103215,x103217,x103214,x103211,x103212)),f328(x103216,f764(x103216,x103213,x103218,x103215,x103217,x103214,x103211,x103212)))+E(f328(f328(f8(x103211,x103212),x103213),f328(f303(x103211,x103214),x103215)),f328(f328(f8(x103211,x103212),x103216),f328(f303(x103211,x103217),x103218)))
% 28.33/28.23 [10324]~E(x103244,x103247)+~E(x103245,x103248)+~P112(x103241)+~P76(x103242)+E(f328(f328(f8(x103241,x103242),x103243),f328(f303(x103241,x103244),x103245)),f328(f328(f8(x103241,x103242),x103246),f328(f303(x103241,x103247),x103248)))+P107(f328(f328(f240(x103241),f764(x103243,x103246,x103245,x103248,x103244,x103247,x103241,x103242)),x103245))
% 28.33/28.23 [9977]~P13(x99775,x99779,x99776)+~P13(x99771,x997710,x99773)+~P17(x99771,x99775,f918(x99772,a905),x99773,x99776,x99778)+~P107(f328(f328(f330(x99775),x99777),x99779))+~P107(f328(f328(f330(x99771),x99774),x997710))+E(f328(f328(f42(x99771,f918(x99772,a905)),f328(f287(x99771,x99771,x99773),f328(f328(f310(x99771),x99774),f190(f918(x99771,a905))))),f328(f328(f10(f918(x99775,f918(x99772,a905)),f918(x99772,a905),x99771),f328(f42(x99775,f918(x99772,a905)),f328(f287(x99775,x99775,x99776),f328(f328(f310(x99775),x99777),f190(f918(x99775,a905)))))),x99778)),f328(f328(x99778,x99774),x99777))
% 28.33/28.23 [5726]~P109(x57263)+~P18(x57263,x57262)+~P18(x57263,x57261)+E(x57261,x57262)+~E(f328(f174(x57263),x57261),f328(f174(x57263),x57262))+~P107(f328(f139(x57263),x57262))+~P107(f328(f139(x57263),x57261))
% 28.33/28.23 [5056]~P129(x50562)+~P134(x50562)+~P146(x50562)+~P117(x50562)+~E(x50563,f2(x50562))+E(x50561,f2(a911))+E(f328(f328(f248(x50562),x50563),x50561),f2(x50562))
% 28.33/28.23 [9293]E(x92931,f2(a911))+~E(x92932,f328(f328(f83(a911),f328(f328(f84(a911),f328(f255(a911,a911),x92933)),x92931)),f328(f260(a911,a911),x92933)))+P107(f328(f51(x92932,x92931),x92933))+~P107(f328(f328(f239(a911),f328(f260(a911,a911),x92933)),f2(a911)))+~P107(f328(f328(f239(a911),f2(a911)),f328(f260(a911,a911),x92933)))+~P107(f328(f328(f240(a911),x92931),f328(f260(a911,a911),x92933)))+~P107(f328(f328(f240(a911),f328(f260(a911,a911),x92933)),x92931))
% 28.33/28.23 [9301]~E(f328(f255(a911,a911),x93013),f2(a911))+~E(x93011,f328(f328(f83(a911),f328(f328(f84(a911),f328(f255(a911,a911),x93013)),x93012)),f328(f260(a911,a911),x93013)))+P107(f328(f51(x93011,x93012),x93013))+~P107(f328(f328(f239(a911),f328(f260(a911,a911),x93013)),f2(a911)))+~P107(f328(f328(f239(a911),f2(a911)),f328(f260(a911,a911),x93013)))+~P107(f328(f328(f240(a911),x93012),f328(f260(a911,a911),x93013)))+~P107(f328(f328(f240(a911),f328(f260(a911,a911),x93013)),x93012))
% 28.33/28.23 [7659]~P101(x76592)+E(x76591,f190(f918(x76592,a905)))+E(x76593,f190(f918(x76592,a905)))+~P107(f328(f64(x76592),x76591))+~P107(f328(f64(x76592),x76593))+~E(f328(f328(f106(f918(x76592,a905)),x76593),x76591),f190(f918(x76592,a905)))+E(f13(x76592,f328(f328(f105(f918(x76592,a905)),x76593),x76591)),f328(f328(f106(x76592),f13(x76592,x76593)),f13(x76592,x76591)))
% 28.33/28.23 [7660]~P101(x76602)+E(x76601,f190(f918(x76602,a905)))+E(x76603,f190(f918(x76602,a905)))+~P107(f328(f64(x76602),x76601))+~P107(f328(f64(x76602),x76603))+~E(f328(f328(f106(f918(x76602,a905)),x76603),x76601),f190(f918(x76602,a905)))+E(f12(x76602,f328(f328(f105(f918(x76602,a905)),x76603),x76601)),f328(f328(f105(x76602),f12(x76602,x76603)),f12(x76602,x76601)))
% 28.33/28.23 [7661]~P109(x76612)+E(x76611,f190(f918(x76612,a905)))+E(x76613,f190(f918(x76612,a905)))+~P107(f328(f64(x76612),x76611))+~P107(f328(f64(x76612),x76613))+~E(f328(f328(f106(f918(x76612,a905)),x76613),x76611),f190(f918(x76612,a905)))+E(f16(x76612,f328(f328(f105(f918(x76612,a905)),x76613),x76611)),f328(f328(f238(x76612),f16(x76612,x76613)),f16(x76612,x76611)))
% 28.33/28.23 [7662]~P109(x76622)+E(x76621,f190(f918(x76622,a905)))+E(x76623,f190(f918(x76622,a905)))+~P107(f328(f64(x76622),x76621))+~P107(f328(f64(x76622),x76623))+~E(f328(f328(f106(f918(x76622,a905)),x76623),x76621),f190(f918(x76622,a905)))+E(f17(x76622,f328(f328(f105(f918(x76622,a905)),x76623),x76621)),f328(f328(f243(x76622),f17(x76622,x76623)),f17(x76622,x76621)))
% 28.33/28.23 [8140]~P73(x81402)+E(x81401,f190(f918(x81402,a905)))+E(x81403,f190(f918(x81402,a905)))+~P107(f328(f64(x81402),x81401))+~P107(f328(f64(x81402),x81403))+~E(f328(f328(f106(f918(x81402,a905)),x81403),x81401),f190(f918(x81402,a905)))+E(f328(f328(f84(x81402),f328(f66(x81402,f84(x81402)),x81403)),f328(f66(x81402,f84(x81402)),x81401)),f328(f66(x81402,f84(x81402)),f328(f328(f105(f918(x81402,a905)),x81403),x81401)))
% 28.33/28.23 [8219]~P109(x82192)+E(x82191,f190(f918(x82192,a905)))+E(x82193,f190(f918(x82192,a905)))+~P107(f328(f64(x82192),x82191))+~P107(f328(f64(x82192),x82193))+~E(f328(f328(f106(f918(x82192,a905)),x82193),x82191),f190(f918(x82192,a905)))+E(f328(f328(f238(x82192),f14(x82192,f238(x82192),x82193)),f14(x82192,f238(x82192),x82191)),f14(x82192,f238(x82192),f328(f328(f105(f918(x82192,a905)),x82193),x82191)))
% 28.33/28.23 [8220]~P109(x82202)+E(x82201,f190(f918(x82202,a905)))+E(x82203,f190(f918(x82202,a905)))+~P107(f328(f64(x82202),x82201))+~P107(f328(f64(x82202),x82203))+~E(f328(f328(f106(f918(x82202,a905)),x82203),x82201),f190(f918(x82202,a905)))+E(f328(f328(f243(x82202),f15(x82202,f243(x82202),x82203)),f15(x82202,f243(x82202),x82201)),f15(x82202,f243(x82202),f328(f328(f105(f918(x82202,a905)),x82203),x82201)))
% 28.33/28.23 [7917]E(x79171,f2(a1))+E(f328(f328(f39(a1),x79172),x79171),x79173)+~P107(f328(f328(f239(a1),x79174),f2(a1)))+~E(x79172,f328(f328(f83(a1),f328(f328(f84(a1),x79171),x79173)),x79174))+~P107(f328(f328(f239(a1),f2(a1)),x79174))+~P107(f328(f328(f240(a1),x79174),x79171))+~P107(f328(f328(f240(a1),x79171),x79174))
% 28.33/28.23 [7925]E(f48(a1,x79252,x79251),x79253)+E(x79251,f2(a1))+~P107(f328(f328(f239(a1),x79253),f2(a1)))+~E(x79252,f328(f328(f83(a1),f328(f328(f84(a1),x79251),x79254)),x79253))+~P107(f328(f328(f239(a1),f2(a1)),x79253))+~P107(f328(f328(f240(a1),x79253),x79251))+~P107(f328(f328(f240(a1),x79251),x79253))
% 28.33/28.23 [7829]~P23(x78292,x78295,x78294)+E(x78291,f190(f918(x78292,a905)))+E(x78293,f190(f918(x78292,a905)))+~P107(f328(f64(x78292),x78291))+~P107(f328(f64(x78292),x78293))+~E(f328(f328(f106(f918(x78292,a905)),x78293),x78291),f190(f918(x78292,a905)))+E(f328(x78294,f328(f328(f105(f918(x78292,a905)),x78293),x78291)),f328(f328(x78295,f328(x78294,x78293)),f328(x78294,x78291)))
% 28.33/28.23 [9527]~P30(x95273,x95271,x95275,x95274)+~P30(x95271,x95273,x95276,x95272)+E(f328(f38(x95271),x95272),f328(f38(x95273),x95274))+~P107(f328(f64(x95273),x95274))+~P107(f328(f64(x95271),x95272))+~P107(f328(f328(f239(f918(x95273,a905)),f328(f311(x95271,x95273,x95276),x95272)),x95274))+~P107(f328(f328(f239(f918(x95271,a905)),f328(f311(x95273,x95271,x95275),x95274)),x95272))
% 28.33/28.23 [9473]~P107(f328(f328(f240(a1),f328(f328(f83(a1),f328(f328(f84(a1),x94735),x94731)),x94736)),f2(a1)))+~E(f328(f328(f83(a1),f328(f328(f84(a1),x94733),x94732)),x94734),f328(f328(f83(a1),f328(f328(f84(a1),x94735),x94731)),x94736))+~P107(f328(f328(f240(a1),f2(a1)),x94735))+~P107(f328(f328(f239(a1),f2(a1)),x94736))+~P107(f328(f328(f240(a1),x94734),x94733))+~P107(f328(f328(f239(a1),x94735),x94733))+P107(f328(f328(f239(a1),x94731),x94732))
% 28.33/28.23 [9237]~E(f328(f328(f83(a1),f328(f328(f84(a1),x92373),x92371)),x92374),f328(f328(f83(a1),f328(f328(f84(a1),x92375),x92372)),x92376))+~P107(f328(f328(f240(a1),f2(a1)),x92375))+~P107(f328(f328(f239(a1),f2(a1)),x92374))+~P107(f328(f328(f240(a1),x92376),x92375))+~P107(f328(f328(f239(a1),x92375),x92373))+P107(f328(f328(f239(a1),x92371),x92372))+~P107(f328(f328(f239(a1),f2(a1)),f328(f328(f83(a1),f328(f328(f84(a1),x92375),x92372)),x92376)))
% 28.33/28.23 [9414]~P133(x94141)+~E(f328(f328(f83(x94141),x94142),x94144),f81(x94141))+~P107(f328(f328(f239(x94141),f2(x94141)),x94144))+~P107(f328(f328(f239(x94141),f2(x94141)),x94142))+~P107(f328(f328(f240(x94141),x94145),x94146))+~P107(f328(f328(f240(x94141),x94143),x94146))+P107(f328(f328(f240(x94141),f328(f328(f83(x94141),f328(f328(f84(x94141),x94142),x94143)),f328(f328(f84(x94141),x94144),x94145))),x94146))
% 28.33/28.23 [9415]~P131(x94151)+~E(f328(f328(f83(x94151),x94152),x94154),f81(x94151))+~P107(f328(f328(f239(x94151),x94155),x94156))+~P107(f328(f328(f239(x94151),x94153),x94156))+~P107(f328(f328(f239(x94151),f2(x94151)),x94154))+~P107(f328(f328(f239(x94151),f2(x94151)),x94152))+P107(f328(f328(f239(x94151),f328(f328(f83(x94151),f328(f328(f84(x94151),x94152),x94153)),f328(f328(f84(x94151),x94154),x94155))),x94156))
% 28.33/28.23 [10217]~P13(x102177,x102176,x102175)+E(x102171,x102172)+~P16(x102177,f918(x102174,a905),x102175,x102173)+E(f328(x102173,f404(x102171,x102172,x102173,x102174,x102175,x102176,x102177)),f328(x102173,f401(x102171,x102172,x102173,x102174,x102175,x102176,x102177)))+~E(f328(f328(f42(x102177,f918(x102174,a905)),x102171),x102173),f328(f328(f42(x102177,f918(x102174,a905)),x102172),x102173))+~P107(f328(f328(f330(f918(x102177,a905)),x102172),f328(f328(f63(x102177),x102176),x102175)))+~P107(f328(f328(f330(f918(x102177,a905)),x102171),f328(f328(f63(x102177),x102176),x102175)))
% 28.33/28.23 [10259]~P13(x102593,x102597,x102596)+E(x102591,x102592)+~P16(x102593,f918(x102595,a905),x102596,x102594)+~E(f328(f328(f42(x102593,f918(x102595,a905)),x102591),x102594),f328(f328(f42(x102593,f918(x102595,a905)),x102592),x102594))+P107(f328(f328(f330(x102593),f401(x102591,x102592,x102594,x102595,x102596,x102597,x102593)),x102597))+~P107(f328(f328(f330(f918(x102593,a905)),x102592),f328(f328(f63(x102593),x102597),x102596)))+~P107(f328(f328(f330(f918(x102593,a905)),x102591),f328(f328(f63(x102593),x102597),x102596)))
% 28.33/28.23 [10260]~P13(x102603,x102607,x102606)+E(x102601,x102602)+~P16(x102603,f918(x102605,a905),x102606,x102604)+~E(f328(f328(f42(x102603,f918(x102605,a905)),x102601),x102604),f328(f328(f42(x102603,f918(x102605,a905)),x102602),x102604))+P107(f328(f328(f330(x102603),f404(x102601,x102602,x102604,x102605,x102606,x102607,x102603)),x102607))+~P107(f328(f328(f330(f918(x102603,a905)),x102602),f328(f328(f63(x102603),x102607),x102606)))+~P107(f328(f328(f330(f918(x102603,a905)),x102601),f328(f328(f63(x102603),x102607),x102606)))
% 28.33/28.23 [10340]E(x103401,x103402)+~P13(x103403,x103406,x103407)+~P16(x103403,f918(x103404,a905),x103407,x103405)+~E(f328(f328(f42(x103403,f918(x103404,a905)),x103401),x103405),f328(f328(f42(x103403,f918(x103404,a905)),x103402),x103405))+~P107(f328(f328(f330(f917(x103403,x103403)),f328(f328(f256(x103403,x103403),f401(x103401,x103402,x103405,x103404,x103407,x103406,x103403)),f404(x103401,x103402,x103405,x103404,x103407,x103406,x103403))),x103407))+~P107(f328(f328(f330(f918(x103403,a905)),x103402),f328(f328(f63(x103403),x103406),x103407)))+~P107(f328(f328(f330(f918(x103403,a905)),x103401),f328(f328(f63(x103403),x103406),x103407)))
% 28.33/28.23 [9236]~P13(x92361,x92367,x92364)+~E(x92365,x92366)+~P107(f328(f328(f330(x92361),x92363),x92366))+~P107(f328(f328(f330(x92361),x92362),x92365))+~P107(f328(f328(f330(f918(x92361,a905)),x92366),f328(f328(f63(x92361),x92367),x92364)))+~P107(f328(f328(f330(f918(x92361,a905)),x92365),f328(f328(f63(x92361),x92367),x92364)))+P107(f328(f328(f330(f917(x92361,x92361)),f328(f328(f256(x92361,x92361),x92362),x92363)),x92364))
% 28.33/28.23 [9374]E(x93741,x93742)+~P13(x93743,x93744,x93745)+~P107(f328(f328(f330(x93743),x93746),x93742))+~P107(f328(f328(f330(x93743),x93747),x93741))+~P107(f328(f328(f330(f918(x93743,a905)),x93742),f328(f328(f63(x93743),x93744),x93745)))+~P107(f328(f328(f330(f918(x93743,a905)),x93741),f328(f328(f63(x93743),x93744),x93745)))+~P107(f328(f328(f330(f917(x93743,x93743)),f328(f328(f256(x93743,x93743),x93747),x93746)),x93745))
% 28.33/28.23 [9375]E(x93751,x93752)+~P13(x93753,x93754,x93755)+~P107(f328(f328(f330(x93753),x93756),x93752))+~P107(f328(f328(f330(x93753),x93757),x93751))+~P107(f328(f328(f330(f918(x93753,a905)),x93752),f328(f328(f63(x93753),x93754),x93755)))+~P107(f328(f328(f330(f918(x93753,a905)),x93751),f328(f328(f63(x93753),x93754),x93755)))+~P107(f328(f328(f330(f917(x93753,x93753)),f328(f328(f256(x93753,x93753),x93757),x93756)),x93755))
% 28.33/28.23 [10359]~P13(x103599,x103598,x103597)+~P13(x103591,x1035911,x1035910)+~P17(x103591,x103599,f918(x103596,a905),x1035910,x103597,x103595)+P107(f328(f328(f330(x103591),f406(x103592,x103593,x103594,x103595,x103596,x103597,x103598,x103599,x1035910,x1035911,x103591)),x1035911))+~P107(f328(f328(f330(f918(x103599,a905)),x103593),f328(f328(f63(x103599),x103598),x103597)))+~P107(f328(f328(f330(f918(x103591,a905)),x103594),f328(f328(f63(x103591),x1035911),x1035910)))+P107(f328(f328(f330(f918(x103596,a905)),f328(f328(f42(x103591,f918(x103596,a905)),x103594),f328(f328(f10(f918(x103599,f918(x103596,a905)),f918(x103596,a905),x103591),f328(f42(x103599,f918(x103596,a905)),x103593)),x103595))),x103592))
% 28.33/28.23 [10360]~P13(x1036011,x1036010,x103609)+~P13(x103601,x103608,x103607)+~P17(x1036011,x103601,f918(x103606,a905),x103609,x103607,x103605)+P107(f328(f328(f330(x103601),f407(x103602,x103603,x103604,x103605,x103606,x103607,x103608,x103601,x103609,x1036010,x1036011)),x103608))+~P107(f328(f328(f330(f918(x1036011,a905)),x103604),f328(f328(f63(x1036011),x1036010),x103609)))+~P107(f328(f328(f330(f918(x103601,a905)),x103603),f328(f328(f63(x103601),x103608),x103607)))+P107(f328(f328(f330(f918(x103606,a905)),f328(f328(f42(x1036011,f918(x103606,a905)),x103604),f328(f328(f10(f918(x103601,f918(x103606,a905)),f918(x103606,a905),x1036011),f328(f42(x103601,f918(x103606,a905)),x103603)),x103605))),x103602))
% 28.33/28.23 [10361]~P13(x103612,x103618,x103619)+~P13(x103614,x1036110,x1036111)+~P17(x103612,x103614,f918(x103611,a905),x103619,x1036111,x103616)+~P107(f328(f328(f330(f918(x103612,a905)),x103613),f328(f328(f63(x103612),x103618),x103619)))+~P107(f328(f328(f330(f918(x103614,a905)),x103615),f328(f328(f63(x103614),x1036110),x1036111)))+~P107(f328(f328(f330(f918(x103611,a905)),f328(f328(x103616,f406(x103617,x103615,x103613,x103616,x103611,x1036111,x1036110,x103614,x103619,x103618,x103612)),f407(x103617,x103615,x103613,x103616,x103611,x1036111,x1036110,x103614,x103619,x103618,x103612))),x103617))+P107(f328(f328(f330(f918(x103611,a905)),f328(f328(f42(x103612,f918(x103611,a905)),x103613),f328(f328(f10(f918(x103614,f918(x103611,a905)),f918(x103611,a905),x103612),f328(f42(x103614,f918(x103611,a905)),x103615)),x103616))),x103617))
% 28.33/28.23 [9280]E(x92801,x92802)+~P109(x92804)+~P30(x92803,x92804,x92805,f328(f328(f105(f918(x92803,a905)),f328(f174(x92803),x92801)),f328(f174(x92803),x92802)))+~E(f328(f174(x92803),x92801),f328(f174(x92803),x92802))+~P18(x92804,f328(f328(f156(x92803,x92804),x92805),x92802))+~P18(x92804,f328(f328(f156(x92803,x92804),x92805),x92801))+~P107(f328(f139(x92804),f328(f328(f156(x92803,x92804),x92805),x92802)))+~P107(f328(f139(x92804),f328(f328(f156(x92803,x92804),x92805),x92801)))
% 28.33/28.23 %EqnAxiom
% 28.33/28.23 [1]E(x11,x11)
% 28.33/28.23 [2]E(x22,x21)+~E(x21,x22)
% 28.33/28.23 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 28.33/28.23 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 28.33/28.23 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 28.33/28.23 [6]~E(x61,x62)+E(f104(x61),f104(x62))
% 28.33/28.23 [7]~E(x71,x72)+E(f190(x71),f190(x72))
% 28.33/28.23 [8]~E(x81,x82)+E(f328(x81,x83),f328(x82,x83))
% 28.33/28.23 [9]~E(x91,x92)+E(f328(x93,x91),f328(x93,x92))
% 28.33/28.23 [10]~E(x101,x102)+E(f32(x101),f32(x102))
% 28.33/28.23 [11]~E(x111,x112)+E(f83(x111),f83(x112))
% 28.33/28.23 [12]~E(x121,x122)+E(f87(x121),f87(x122))
% 28.33/28.23 [13]~E(x131,x132)+E(f108(x131),f108(x132))
% 28.33/28.23 [14]~E(x141,x142)+E(f912(x141),f912(x142))
% 28.33/28.23 [15]~E(x151,x152)+E(f407(x151,x153,x154,x155,x156,x157,x158,x159,x1510,x1511,x1512),f407(x152,x153,x154,x155,x156,x157,x158,x159,x1510,x1511,x1512))
% 28.33/28.23 [16]~E(x161,x162)+E(f407(x163,x161,x164,x165,x166,x167,x168,x169,x1610,x1611,x1612),f407(x163,x162,x164,x165,x166,x167,x168,x169,x1610,x1611,x1612))
% 28.33/28.23 [17]~E(x171,x172)+E(f407(x173,x174,x171,x175,x176,x177,x178,x179,x1710,x1711,x1712),f407(x173,x174,x172,x175,x176,x177,x178,x179,x1710,x1711,x1712))
% 28.33/28.23 [18]~E(x181,x182)+E(f407(x183,x184,x185,x181,x186,x187,x188,x189,x1810,x1811,x1812),f407(x183,x184,x185,x182,x186,x187,x188,x189,x1810,x1811,x1812))
% 28.33/28.23 [19]~E(x191,x192)+E(f407(x193,x194,x195,x196,x191,x197,x198,x199,x1910,x1911,x1912),f407(x193,x194,x195,x196,x192,x197,x198,x199,x1910,x1911,x1912))
% 28.33/28.23 [20]~E(x201,x202)+E(f407(x203,x204,x205,x206,x207,x201,x208,x209,x2010,x2011,x2012),f407(x203,x204,x205,x206,x207,x202,x208,x209,x2010,x2011,x2012))
% 28.33/28.23 [21]~E(x211,x212)+E(f407(x213,x214,x215,x216,x217,x218,x211,x219,x2110,x2111,x2112),f407(x213,x214,x215,x216,x217,x218,x212,x219,x2110,x2111,x2112))
% 28.33/28.23 [22]~E(x221,x222)+E(f407(x223,x224,x225,x226,x227,x228,x229,x221,x2210,x2211,x2212),f407(x223,x224,x225,x226,x227,x228,x229,x222,x2210,x2211,x2212))
% 28.33/28.23 [23]~E(x231,x232)+E(f407(x233,x234,x235,x236,x237,x238,x239,x2310,x231,x2311,x2312),f407(x233,x234,x235,x236,x237,x238,x239,x2310,x232,x2311,x2312))
% 28.33/28.23 [24]~E(x241,x242)+E(f407(x243,x244,x245,x246,x247,x248,x249,x2410,x2411,x241,x2412),f407(x243,x244,x245,x246,x247,x248,x249,x2410,x2411,x242,x2412))
% 28.33/28.23 [25]~E(x251,x252)+E(f407(x253,x254,x255,x256,x257,x258,x259,x2510,x2511,x2512,x251),f407(x253,x254,x255,x256,x257,x258,x259,x2510,x2511,x2512,x252))
% 28.33/28.23 [26]~E(x261,x262)+E(f238(x261),f238(x262))
% 28.33/28.23 [27]~E(x271,x272)+E(f105(x271),f105(x272))
% 28.33/28.23 [28]~E(x281,x282)+E(f243(x281),f243(x282))
% 28.33/28.23 [29]~E(x291,x292)+E(f106(x291),f106(x292))
% 28.33/28.23 [30]~E(x301,x302)+E(f107(x301),f107(x302))
% 28.33/28.23 [31]~E(x311,x312)+E(f35(x311),f35(x312))
% 28.33/28.23 [32]~E(x321,x322)+E(f248(x321),f248(x322))
% 28.33/28.23 [33]~E(x331,x332)+E(f81(x331),f81(x332))
% 28.33/28.23 [34]~E(x341,x342)+E(f406(x341,x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412),f406(x342,x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412))
% 28.33/28.23 [35]~E(x351,x352)+E(f406(x353,x351,x354,x355,x356,x357,x358,x359,x3510,x3511,x3512),f406(x353,x352,x354,x355,x356,x357,x358,x359,x3510,x3511,x3512))
% 28.33/28.23 [36]~E(x361,x362)+E(f406(x363,x364,x361,x365,x366,x367,x368,x369,x3610,x3611,x3612),f406(x363,x364,x362,x365,x366,x367,x368,x369,x3610,x3611,x3612))
% 28.33/28.23 [37]~E(x371,x372)+E(f406(x373,x374,x375,x371,x376,x377,x378,x379,x3710,x3711,x3712),f406(x373,x374,x375,x372,x376,x377,x378,x379,x3710,x3711,x3712))
% 28.33/28.23 [38]~E(x381,x382)+E(f406(x383,x384,x385,x386,x381,x387,x388,x389,x3810,x3811,x3812),f406(x383,x384,x385,x386,x382,x387,x388,x389,x3810,x3811,x3812))
% 28.33/28.23 [39]~E(x391,x392)+E(f406(x393,x394,x395,x396,x397,x391,x398,x399,x3910,x3911,x3912),f406(x393,x394,x395,x396,x397,x392,x398,x399,x3910,x3911,x3912))
% 28.33/28.23 [40]~E(x401,x402)+E(f406(x403,x404,x405,x406,x407,x408,x401,x409,x4010,x4011,x4012),f406(x403,x404,x405,x406,x407,x408,x402,x409,x4010,x4011,x4012))
% 28.33/28.23 [41]~E(x411,x412)+E(f406(x413,x414,x415,x416,x417,x418,x419,x411,x4110,x4111,x4112),f406(x413,x414,x415,x416,x417,x418,x419,x412,x4110,x4111,x4112))
% 28.33/28.23 [42]~E(x421,x422)+E(f406(x423,x424,x425,x426,x427,x428,x429,x4210,x421,x4211,x4212),f406(x423,x424,x425,x426,x427,x428,x429,x4210,x422,x4211,x4212))
% 28.33/28.23 [43]~E(x431,x432)+E(f406(x433,x434,x435,x436,x437,x438,x439,x4310,x4311,x431,x4312),f406(x433,x434,x435,x436,x437,x438,x439,x4310,x4311,x432,x4312))
% 28.33/28.23 [44]~E(x441,x442)+E(f406(x443,x444,x445,x446,x447,x448,x449,x4410,x4411,x4412,x441),f406(x443,x444,x445,x446,x447,x448,x449,x4410,x4411,x4412,x442))
% 28.33/28.23 [45]~E(x451,x452)+E(f115(x451),f115(x452))
% 28.33/28.23 [46]~E(x461,x462)+E(f330(x461),f330(x462))
% 28.33/28.23 [47]~E(x471,x472)+E(f918(x471,x473),f918(x472,x473))
% 28.33/28.23 [48]~E(x481,x482)+E(f918(x483,x481),f918(x483,x482))
% 28.33/28.23 [49]~E(x491,x492)+E(f6(x491),f6(x492))
% 28.33/28.23 [50]~E(x501,x502)+E(f239(x501),f239(x502))
% 28.33/28.23 [51]~E(x511,x512)+E(f910(x511),f910(x512))
% 28.33/28.23 [52]~E(x521,x522)+E(f915(x521),f915(x522))
% 28.33/28.23 [53]~E(x531,x532)+E(f161(x531,x533),f161(x532,x533))
% 28.33/28.23 [54]~E(x541,x542)+E(f161(x543,x541),f161(x543,x542))
% 28.33/28.23 [55]~E(x551,x552)+E(f913(x551),f913(x552))
% 28.33/28.23 [56]~E(x561,x562)+E(f82(x561),f82(x562))
% 28.33/28.23 [57]~E(x571,x572)+E(f38(x571),f38(x572))
% 28.33/28.23 [58]~E(x581,x582)+E(f191(x581),f191(x582))
% 28.33/28.23 [59]~E(x591,x592)+E(f64(x591),f64(x592))
% 28.33/28.23 [60]~E(x601,x602)+E(f156(x601,x603),f156(x602,x603))
% 28.33/28.23 [61]~E(x611,x612)+E(f156(x613,x611),f156(x613,x612))
% 28.33/28.23 [62]~E(x621,x622)+E(f9(x621,x623,x624),f9(x622,x623,x624))
% 28.33/28.23 [63]~E(x631,x632)+E(f9(x633,x631,x634),f9(x633,x632,x634))
% 28.33/28.23 [64]~E(x641,x642)+E(f9(x643,x644,x641),f9(x643,x644,x642))
% 28.33/28.23 [65]~E(x651,x652)+E(f291(x651),f291(x652))
% 28.33/28.23 [66]~E(x661,x662)+E(f240(x661),f240(x662))
% 28.33/28.23 [67]~E(x671,x672)+E(f542(x671,x673,x674,x675,x676,x677,x678),f542(x672,x673,x674,x675,x676,x677,x678))
% 28.33/28.23 [68]~E(x681,x682)+E(f542(x683,x681,x684,x685,x686,x687,x688),f542(x683,x682,x684,x685,x686,x687,x688))
% 28.33/28.23 [69]~E(x691,x692)+E(f542(x693,x694,x691,x695,x696,x697,x698),f542(x693,x694,x692,x695,x696,x697,x698))
% 28.33/28.23 [70]~E(x701,x702)+E(f542(x703,x704,x705,x701,x706,x707,x708),f542(x703,x704,x705,x702,x706,x707,x708))
% 28.33/28.23 [71]~E(x711,x712)+E(f542(x713,x714,x715,x716,x711,x717,x718),f542(x713,x714,x715,x716,x712,x717,x718))
% 28.33/28.23 [72]~E(x721,x722)+E(f542(x723,x724,x725,x726,x727,x721,x728),f542(x723,x724,x725,x726,x727,x722,x728))
% 28.33/28.23 [73]~E(x731,x732)+E(f542(x733,x734,x735,x736,x737,x738,x731),f542(x733,x734,x735,x736,x737,x738,x732))
% 28.33/28.23 [74]~E(x741,x742)+E(f63(x741),f63(x742))
% 28.33/28.23 [75]~E(x751,x752)+E(f651(x751,x753,x754),f651(x752,x753,x754))
% 28.33/28.23 [76]~E(x761,x762)+E(f651(x763,x761,x764),f651(x763,x762,x764))
% 28.33/28.23 [77]~E(x771,x772)+E(f651(x773,x774,x771),f651(x773,x774,x772))
% 28.33/28.23 [78]~E(x781,x782)+E(f196(x781),f196(x782))
% 28.33/28.23 [79]~E(x791,x792)+E(f141(x791,x793),f141(x792,x793))
% 28.33/28.23 [80]~E(x801,x802)+E(f141(x803,x801),f141(x803,x802))
% 28.33/28.23 [81]~E(x811,x812)+E(f153(x811),f153(x812))
% 28.33/28.23 [82]~E(x821,x822)+E(f84(x821),f84(x822))
% 28.33/28.23 [83]~E(x831,x832)+E(f316(x831,x833),f316(x832,x833))
% 28.33/28.23 [84]~E(x841,x842)+E(f316(x843,x841),f316(x843,x842))
% 28.33/28.23 [85]~E(x851,x852)+E(f882(x851,x853,x854,x855,x856,x857,x858),f882(x852,x853,x854,x855,x856,x857,x858))
% 28.33/28.23 [86]~E(x861,x862)+E(f882(x863,x861,x864,x865,x866,x867,x868),f882(x863,x862,x864,x865,x866,x867,x868))
% 28.33/28.23 [87]~E(x871,x872)+E(f882(x873,x874,x871,x875,x876,x877,x878),f882(x873,x874,x872,x875,x876,x877,x878))
% 28.33/28.23 [88]~E(x881,x882)+E(f882(x883,x884,x885,x881,x886,x887,x888),f882(x883,x884,x885,x882,x886,x887,x888))
% 28.33/28.23 [89]~E(x891,x892)+E(f882(x893,x894,x895,x896,x891,x897,x898),f882(x893,x894,x895,x896,x892,x897,x898))
% 28.33/28.23 [90]~E(x901,x902)+E(f882(x903,x904,x905,x906,x907,x901,x908),f882(x903,x904,x905,x906,x907,x902,x908))
% 28.33/28.23 [91]~E(x911,x912)+E(f882(x913,x914,x915,x916,x917,x918,x911),f882(x913,x914,x915,x916,x917,x918,x912))
% 28.33/28.23 [92]~E(x921,x922)+E(f838(x921,x923,x924),f838(x922,x923,x924))
% 28.33/28.23 [93]~E(x931,x932)+E(f838(x933,x931,x934),f838(x933,x932,x934))
% 28.33/28.23 [94]~E(x941,x942)+E(f838(x943,x944,x941),f838(x943,x944,x942))
% 28.33/28.23 [95]~E(x951,x952)+E(f174(x951),f174(x952))
% 28.33/28.23 [96]~E(x961,x962)+E(f746(x961,x963,x964),f746(x962,x963,x964))
% 28.33/28.23 [97]~E(x971,x972)+E(f746(x973,x971,x974),f746(x973,x972,x974))
% 28.33/28.23 [98]~E(x981,x982)+E(f746(x983,x984,x981),f746(x983,x984,x982))
% 28.33/28.23 [99]~E(x991,x992)+E(f39(x991),f39(x992))
% 28.33/28.23 [100]~E(x1001,x1002)+E(f477(x1001),f477(x1002))
% 28.33/28.23 [101]~E(x1011,x1012)+E(f79(x1011),f79(x1012))
% 28.33/28.23 [102]~E(x1021,x1022)+E(f140(x1021),f140(x1022))
% 28.33/28.23 [103]~E(x1031,x1032)+E(f166(x1031),f166(x1032))
% 28.33/28.23 [104]~E(x1041,x1042)+E(f305(x1041),f305(x1042))
% 28.33/28.23 [105]~E(x1051,x1052)+E(f8(x1051,x1053),f8(x1052,x1053))
% 28.33/28.23 [106]~E(x1061,x1062)+E(f8(x1063,x1061),f8(x1063,x1062))
% 28.33/28.23 [107]~E(x1071,x1072)+E(f848(x1071,x1073,x1074),f848(x1072,x1073,x1074))
% 28.33/28.23 [108]~E(x1081,x1082)+E(f848(x1083,x1081,x1084),f848(x1083,x1082,x1084))
% 28.33/28.23 [109]~E(x1091,x1092)+E(f848(x1093,x1094,x1091),f848(x1093,x1094,x1092))
% 28.33/28.23 [110]~E(x1101,x1102)+E(f42(x1101,x1103),f42(x1102,x1103))
% 28.33/28.23 [111]~E(x1111,x1112)+E(f42(x1113,x1111),f42(x1113,x1112))
% 28.33/28.23 [112]~E(x1121,x1122)+E(f41(x1121,x1123),f41(x1122,x1123))
% 28.33/28.23 [113]~E(x1131,x1132)+E(f41(x1133,x1131),f41(x1133,x1132))
% 28.33/28.23 [114]~E(x1141,x1142)+E(f679(x1141,x1143,x1144,x1145),f679(x1142,x1143,x1144,x1145))
% 28.33/28.23 [115]~E(x1151,x1152)+E(f679(x1153,x1151,x1154,x1155),f679(x1153,x1152,x1154,x1155))
% 28.33/28.23 [116]~E(x1161,x1162)+E(f679(x1163,x1164,x1161,x1165),f679(x1163,x1164,x1162,x1165))
% 28.33/28.23 [117]~E(x1171,x1172)+E(f679(x1173,x1174,x1175,x1171),f679(x1173,x1174,x1175,x1172))
% 28.33/28.23 [118]~E(x1181,x1182)+E(f815(x1181,x1183,x1184,x1185,x1186,x1187,x1188),f815(x1182,x1183,x1184,x1185,x1186,x1187,x1188))
% 28.33/28.23 [119]~E(x1191,x1192)+E(f815(x1193,x1191,x1194,x1195,x1196,x1197,x1198),f815(x1193,x1192,x1194,x1195,x1196,x1197,x1198))
% 28.33/28.23 [120]~E(x1201,x1202)+E(f815(x1203,x1204,x1201,x1205,x1206,x1207,x1208),f815(x1203,x1204,x1202,x1205,x1206,x1207,x1208))
% 28.33/28.23 [121]~E(x1211,x1212)+E(f815(x1213,x1214,x1215,x1211,x1216,x1217,x1218),f815(x1213,x1214,x1215,x1212,x1216,x1217,x1218))
% 28.33/28.23 [122]~E(x1221,x1222)+E(f815(x1223,x1224,x1225,x1226,x1221,x1227,x1228),f815(x1223,x1224,x1225,x1226,x1222,x1227,x1228))
% 28.33/28.23 [123]~E(x1231,x1232)+E(f815(x1233,x1234,x1235,x1236,x1237,x1231,x1238),f815(x1233,x1234,x1235,x1236,x1237,x1232,x1238))
% 28.33/28.23 [124]~E(x1241,x1242)+E(f815(x1243,x1244,x1245,x1246,x1247,x1248,x1241),f815(x1243,x1244,x1245,x1246,x1247,x1248,x1242))
% 28.33/28.23 [125]~E(x1251,x1252)+E(f311(x1251,x1253,x1254),f311(x1252,x1253,x1254))
% 28.33/28.23 [126]~E(x1261,x1262)+E(f311(x1263,x1261,x1264),f311(x1263,x1262,x1264))
% 28.33/28.23 [127]~E(x1271,x1272)+E(f311(x1273,x1274,x1271),f311(x1273,x1274,x1272))
% 28.33/28.23 [128]~E(x1281,x1282)+E(f246(x1281),f246(x1282))
% 28.33/28.23 [129]~E(x1291,x1292)+E(f48(x1291,x1293,x1294),f48(x1292,x1293,x1294))
% 28.33/28.23 [130]~E(x1301,x1302)+E(f48(x1303,x1301,x1304),f48(x1303,x1302,x1304))
% 28.33/28.23 [131]~E(x1311,x1312)+E(f48(x1313,x1314,x1311),f48(x1313,x1314,x1312))
% 28.33/28.23 [132]~E(x1321,x1322)+E(f10(x1321,x1323,x1324),f10(x1322,x1323,x1324))
% 28.33/28.23 [133]~E(x1331,x1332)+E(f10(x1333,x1331,x1334),f10(x1333,x1332,x1334))
% 28.33/28.23 [134]~E(x1341,x1342)+E(f10(x1343,x1344,x1341),f10(x1343,x1344,x1342))
% 28.33/28.23 [135]~E(x1351,x1352)+E(f674(x1351),f674(x1352))
% 28.33/28.23 [136]~E(x1361,x1362)+E(f85(x1361,x1363),f85(x1362,x1363))
% 28.33/28.23 [137]~E(x1371,x1372)+E(f85(x1373,x1371),f85(x1373,x1372))
% 28.33/28.23 [138]~E(x1381,x1382)+E(f170(x1381),f170(x1382))
% 28.33/28.23 [139]~E(x1391,x1392)+E(f917(x1391,x1393),f917(x1392,x1393))
% 28.33/28.23 [140]~E(x1401,x1402)+E(f917(x1403,x1401),f917(x1403,x1402))
% 28.33/28.23 [141]~E(x1411,x1412)+E(f216(x1411),f216(x1412))
% 28.33/28.23 [142]~E(x1421,x1422)+E(f76(x1421,x1423,x1424,x1425),f76(x1422,x1423,x1424,x1425))
% 28.33/28.23 [143]~E(x1431,x1432)+E(f76(x1433,x1431,x1434,x1435),f76(x1433,x1432,x1434,x1435))
% 28.33/28.23 [144]~E(x1441,x1442)+E(f76(x1443,x1444,x1441,x1445),f76(x1443,x1444,x1442,x1445))
% 28.33/28.23 [145]~E(x1451,x1452)+E(f76(x1453,x1454,x1455,x1451),f76(x1453,x1454,x1455,x1452))
% 28.33/28.23 [146]~E(x1461,x1462)+E(f247(x1461,x1463,x1464),f247(x1462,x1463,x1464))
% 28.33/28.23 [147]~E(x1471,x1472)+E(f247(x1473,x1471,x1474),f247(x1473,x1472,x1474))
% 28.33/28.23 [148]~E(x1481,x1482)+E(f247(x1483,x1484,x1481),f247(x1483,x1484,x1482))
% 28.33/28.23 [149]~E(x1491,x1492)+E(f408(x1491,x1493,x1494,x1495,x1496,x1497,x1498),f408(x1492,x1493,x1494,x1495,x1496,x1497,x1498))
% 28.33/28.23 [150]~E(x1501,x1502)+E(f408(x1503,x1501,x1504,x1505,x1506,x1507,x1508),f408(x1503,x1502,x1504,x1505,x1506,x1507,x1508))
% 28.33/28.23 [151]~E(x1511,x1512)+E(f408(x1513,x1514,x1511,x1515,x1516,x1517,x1518),f408(x1513,x1514,x1512,x1515,x1516,x1517,x1518))
% 28.33/28.23 [152]~E(x1521,x1522)+E(f408(x1523,x1524,x1525,x1521,x1526,x1527,x1528),f408(x1523,x1524,x1525,x1522,x1526,x1527,x1528))
% 28.33/28.23 [153]~E(x1531,x1532)+E(f408(x1533,x1534,x1535,x1536,x1531,x1537,x1538),f408(x1533,x1534,x1535,x1536,x1532,x1537,x1538))
% 28.33/28.23 [154]~E(x1541,x1542)+E(f408(x1543,x1544,x1545,x1546,x1547,x1541,x1548),f408(x1543,x1544,x1545,x1546,x1547,x1542,x1548))
% 28.33/28.23 [155]~E(x1551,x1552)+E(f408(x1553,x1554,x1555,x1556,x1557,x1558,x1551),f408(x1553,x1554,x1555,x1556,x1557,x1558,x1552))
% 28.33/28.23 [156]~E(x1561,x1562)+E(f310(x1561),f310(x1562))
% 28.33/28.23 [157]~E(x1571,x1572)+E(f110(x1571),f110(x1572))
% 28.33/28.23 [158]~E(x1581,x1582)+E(f112(x1581),f112(x1582))
% 28.33/28.23 [159]~E(x1591,x1592)+E(f329(x1591),f329(x1592))
% 28.33/28.23 [160]~E(x1601,x1602)+E(f94(x1601),f94(x1602))
% 28.33/28.23 [161]~E(x1611,x1612)+E(f687(x1611),f687(x1612))
% 28.33/28.23 [162]~E(x1621,x1622)+E(f43(x1621,x1623),f43(x1622,x1623))
% 28.33/28.23 [163]~E(x1631,x1632)+E(f43(x1633,x1631),f43(x1633,x1632))
% 28.33/28.23 [164]~E(x1641,x1642)+E(f136(x1641),f136(x1642))
% 28.33/28.23 [165]~E(x1651,x1652)+E(f245(x1651,x1653),f245(x1652,x1653))
% 28.33/28.23 [166]~E(x1661,x1662)+E(f245(x1663,x1661),f245(x1663,x1662))
% 28.33/28.23 [167]~E(x1671,x1672)+E(f303(x1671,x1673),f303(x1672,x1673))
% 28.33/28.23 [168]~E(x1681,x1682)+E(f303(x1683,x1681),f303(x1683,x1682))
% 28.33/28.23 [169]~E(x1691,x1692)+E(f129(x1691,x1693,x1694),f129(x1692,x1693,x1694))
% 28.33/28.23 [170]~E(x1701,x1702)+E(f129(x1703,x1701,x1704),f129(x1703,x1702,x1704))
% 28.33/28.23 [171]~E(x1711,x1712)+E(f129(x1713,x1714,x1711),f129(x1713,x1714,x1712))
% 28.33/28.23 [172]~E(x1721,x1722)+E(f298(x1721,x1723,x1724,x1725,x1726),f298(x1722,x1723,x1724,x1725,x1726))
% 28.33/28.23 [173]~E(x1731,x1732)+E(f298(x1733,x1731,x1734,x1735,x1736),f298(x1733,x1732,x1734,x1735,x1736))
% 28.33/28.23 [174]~E(x1741,x1742)+E(f298(x1743,x1744,x1741,x1745,x1746),f298(x1743,x1744,x1742,x1745,x1746))
% 28.33/28.23 [175]~E(x1751,x1752)+E(f298(x1753,x1754,x1755,x1751,x1756),f298(x1753,x1754,x1755,x1752,x1756))
% 28.33/28.23 [176]~E(x1761,x1762)+E(f298(x1763,x1764,x1765,x1766,x1761),f298(x1763,x1764,x1765,x1766,x1762))
% 28.33/28.23 [177]~E(x1771,x1772)+E(f814(x1771,x1773,x1774,x1775,x1776,x1777,x1778),f814(x1772,x1773,x1774,x1775,x1776,x1777,x1778))
% 28.33/28.23 [178]~E(x1781,x1782)+E(f814(x1783,x1781,x1784,x1785,x1786,x1787,x1788),f814(x1783,x1782,x1784,x1785,x1786,x1787,x1788))
% 28.33/28.23 [179]~E(x1791,x1792)+E(f814(x1793,x1794,x1791,x1795,x1796,x1797,x1798),f814(x1793,x1794,x1792,x1795,x1796,x1797,x1798))
% 28.33/28.23 [180]~E(x1801,x1802)+E(f814(x1803,x1804,x1805,x1801,x1806,x1807,x1808),f814(x1803,x1804,x1805,x1802,x1806,x1807,x1808))
% 28.33/28.23 [181]~E(x1811,x1812)+E(f814(x1813,x1814,x1815,x1816,x1811,x1817,x1818),f814(x1813,x1814,x1815,x1816,x1812,x1817,x1818))
% 28.33/28.23 [182]~E(x1821,x1822)+E(f814(x1823,x1824,x1825,x1826,x1827,x1821,x1828),f814(x1823,x1824,x1825,x1826,x1827,x1822,x1828))
% 28.33/28.23 [183]~E(x1831,x1832)+E(f814(x1833,x1834,x1835,x1836,x1837,x1838,x1831),f814(x1833,x1834,x1835,x1836,x1837,x1838,x1832))
% 28.33/28.23 [184]~E(x1841,x1842)+E(f7(x1841),f7(x1842))
% 28.33/28.23 [185]~E(x1851,x1852)+E(f460(x1851,x1853,x1854,x1855),f460(x1852,x1853,x1854,x1855))
% 28.33/28.23 [186]~E(x1861,x1862)+E(f460(x1863,x1861,x1864,x1865),f460(x1863,x1862,x1864,x1865))
% 28.33/28.23 [187]~E(x1871,x1872)+E(f460(x1873,x1874,x1871,x1875),f460(x1873,x1874,x1872,x1875))
% 28.33/28.23 [188]~E(x1881,x1882)+E(f460(x1883,x1884,x1885,x1881),f460(x1883,x1884,x1885,x1882))
% 28.33/28.23 [189]~E(x1891,x1892)+E(f266(x1891),f266(x1892))
% 28.33/28.23 [190]~E(x1901,x1902)+E(f501(x1901,x1903,x1904,x1905),f501(x1902,x1903,x1904,x1905))
% 28.33/28.23 [191]~E(x1911,x1912)+E(f501(x1913,x1911,x1914,x1915),f501(x1913,x1912,x1914,x1915))
% 28.33/28.23 [192]~E(x1921,x1922)+E(f501(x1923,x1924,x1921,x1925),f501(x1923,x1924,x1922,x1925))
% 28.33/28.23 [193]~E(x1931,x1932)+E(f501(x1933,x1934,x1935,x1931),f501(x1933,x1934,x1935,x1932))
% 28.33/28.23 [194]~E(x1941,x1942)+E(f853(x1941,x1943,x1944),f853(x1942,x1943,x1944))
% 28.33/28.23 [195]~E(x1951,x1952)+E(f853(x1953,x1951,x1954),f853(x1953,x1952,x1954))
% 28.33/28.23 [196]~E(x1961,x1962)+E(f853(x1963,x1964,x1961),f853(x1963,x1964,x1962))
% 28.33/28.23 [197]~E(x1971,x1972)+E(f634(x1971,x1973),f634(x1972,x1973))
% 28.33/28.23 [198]~E(x1981,x1982)+E(f634(x1983,x1981),f634(x1983,x1982))
% 28.33/28.23 [199]~E(x1991,x1992)+E(f20(x1991,x1993,x1994),f20(x1992,x1993,x1994))
% 28.33/28.23 [200]~E(x2001,x2002)+E(f20(x2003,x2001,x2004),f20(x2003,x2002,x2004))
% 28.33/28.23 [201]~E(x2011,x2012)+E(f20(x2013,x2014,x2011),f20(x2013,x2014,x2012))
% 28.33/28.23 [202]~E(x2021,x2022)+E(f40(x2021,x2023),f40(x2022,x2023))
% 28.33/28.23 [203]~E(x2031,x2032)+E(f40(x2033,x2031),f40(x2033,x2032))
% 28.33/28.23 [204]~E(x2041,x2042)+E(f621(x2041,x2043,x2044,x2045,x2046,x2047,x2048),f621(x2042,x2043,x2044,x2045,x2046,x2047,x2048))
% 28.33/28.23 [205]~E(x2051,x2052)+E(f621(x2053,x2051,x2054,x2055,x2056,x2057,x2058),f621(x2053,x2052,x2054,x2055,x2056,x2057,x2058))
% 28.33/28.23 [206]~E(x2061,x2062)+E(f621(x2063,x2064,x2061,x2065,x2066,x2067,x2068),f621(x2063,x2064,x2062,x2065,x2066,x2067,x2068))
% 28.33/28.23 [207]~E(x2071,x2072)+E(f621(x2073,x2074,x2075,x2071,x2076,x2077,x2078),f621(x2073,x2074,x2075,x2072,x2076,x2077,x2078))
% 28.33/28.23 [208]~E(x2081,x2082)+E(f621(x2083,x2084,x2085,x2086,x2081,x2087,x2088),f621(x2083,x2084,x2085,x2086,x2082,x2087,x2088))
% 28.33/28.23 [209]~E(x2091,x2092)+E(f621(x2093,x2094,x2095,x2096,x2097,x2091,x2098),f621(x2093,x2094,x2095,x2096,x2097,x2092,x2098))
% 28.33/28.23 [210]~E(x2101,x2102)+E(f621(x2103,x2104,x2105,x2106,x2107,x2108,x2101),f621(x2103,x2104,x2105,x2106,x2107,x2108,x2102))
% 28.33/28.23 [211]~E(x2111,x2112)+E(f138(x2111,x2113),f138(x2112,x2113))
% 28.33/28.23 [212]~E(x2121,x2122)+E(f138(x2123,x2121),f138(x2123,x2122))
% 28.33/28.23 [213]~E(x2131,x2132)+E(f90(x2131),f90(x2132))
% 28.33/28.23 [214]~E(x2141,x2142)+E(f236(x2141),f236(x2142))
% 28.33/28.23 [215]~E(x2151,x2152)+E(f304(x2151,x2153,x2154),f304(x2152,x2153,x2154))
% 28.33/28.23 [216]~E(x2161,x2162)+E(f304(x2163,x2161,x2164),f304(x2163,x2162,x2164))
% 28.33/28.23 [217]~E(x2171,x2172)+E(f304(x2173,x2174,x2171),f304(x2173,x2174,x2172))
% 28.33/28.23 [218]~E(x2181,x2182)+E(f256(x2181,x2183),f256(x2182,x2183))
% 28.33/28.23 [219]~E(x2191,x2192)+E(f256(x2193,x2191),f256(x2193,x2192))
% 28.33/28.23 [220]~E(x2201,x2202)+E(f162(x2201,x2203),f162(x2202,x2203))
% 28.33/28.23 [221]~E(x2211,x2212)+E(f162(x2213,x2211),f162(x2213,x2212))
% 28.33/28.23 [222]~E(x2221,x2222)+E(f308(x2221,x2223),f308(x2222,x2223))
% 28.33/28.23 [223]~E(x2231,x2232)+E(f308(x2233,x2231),f308(x2233,x2232))
% 28.33/28.23 [224]~E(x2241,x2242)+E(f16(x2241,x2243),f16(x2242,x2243))
% 28.33/28.23 [225]~E(x2251,x2252)+E(f16(x2253,x2251),f16(x2253,x2252))
% 28.33/28.23 [226]~E(x2261,x2262)+E(f287(x2261,x2263,x2264),f287(x2262,x2263,x2264))
% 28.33/28.23 [227]~E(x2271,x2272)+E(f287(x2273,x2271,x2274),f287(x2273,x2272,x2274))
% 28.33/28.23 [228]~E(x2281,x2282)+E(f287(x2283,x2284,x2281),f287(x2283,x2284,x2282))
% 28.33/28.23 [229]~E(x2291,x2292)+E(f157(x2291,x2293,x2294),f157(x2292,x2293,x2294))
% 28.33/28.23 [230]~E(x2301,x2302)+E(f157(x2303,x2301,x2304),f157(x2303,x2302,x2304))
% 28.33/28.23 [231]~E(x2311,x2312)+E(f157(x2313,x2314,x2311),f157(x2313,x2314,x2312))
% 28.33/28.23 [232]~E(x2321,x2322)+E(f67(x2321,x2323,x2324),f67(x2322,x2323,x2324))
% 28.33/28.23 [233]~E(x2331,x2332)+E(f67(x2333,x2331,x2334),f67(x2333,x2332,x2334))
% 28.33/28.23 [234]~E(x2341,x2342)+E(f67(x2343,x2344,x2341),f67(x2343,x2344,x2342))
% 28.33/28.23 [235]~E(x2351,x2352)+E(f117(x2351),f117(x2352))
% 28.33/28.23 [236]~E(x2361,x2362)+E(f33(x2361,x2363),f33(x2362,x2363))
% 28.33/28.23 [237]~E(x2371,x2372)+E(f33(x2373,x2371),f33(x2373,x2372))
% 28.33/28.23 [238]~E(x2381,x2382)+E(f12(x2381,x2383),f12(x2382,x2383))
% 28.33/28.23 [239]~E(x2391,x2392)+E(f12(x2393,x2391),f12(x2393,x2392))
% 28.33/28.23 [240]~E(x2401,x2402)+E(f150(x2401,x2403,x2404),f150(x2402,x2403,x2404))
% 28.33/28.23 [241]~E(x2411,x2412)+E(f150(x2413,x2411,x2414),f150(x2413,x2412,x2414))
% 28.33/28.23 [242]~E(x2421,x2422)+E(f150(x2423,x2424,x2421),f150(x2423,x2424,x2422))
% 28.33/28.23 [243]~E(x2431,x2432)+E(f405(x2431,x2433,x2434,x2435,x2436,x2437,x2438),f405(x2432,x2433,x2434,x2435,x2436,x2437,x2438))
% 28.33/28.23 [244]~E(x2441,x2442)+E(f405(x2443,x2441,x2444,x2445,x2446,x2447,x2448),f405(x2443,x2442,x2444,x2445,x2446,x2447,x2448))
% 28.33/28.23 [245]~E(x2451,x2452)+E(f405(x2453,x2454,x2451,x2455,x2456,x2457,x2458),f405(x2453,x2454,x2452,x2455,x2456,x2457,x2458))
% 28.33/28.23 [246]~E(x2461,x2462)+E(f405(x2463,x2464,x2465,x2461,x2466,x2467,x2468),f405(x2463,x2464,x2465,x2462,x2466,x2467,x2468))
% 28.33/28.23 [247]~E(x2471,x2472)+E(f405(x2473,x2474,x2475,x2476,x2471,x2477,x2478),f405(x2473,x2474,x2475,x2476,x2472,x2477,x2478))
% 28.33/28.23 [248]~E(x2481,x2482)+E(f405(x2483,x2484,x2485,x2486,x2487,x2481,x2488),f405(x2483,x2484,x2485,x2486,x2487,x2482,x2488))
% 28.33/28.23 [249]~E(x2491,x2492)+E(f405(x2493,x2494,x2495,x2496,x2497,x2498,x2491),f405(x2493,x2494,x2495,x2496,x2497,x2498,x2492))
% 28.33/28.23 [250]~E(x2501,x2502)+E(f893(x2501,x2503,x2504),f893(x2502,x2503,x2504))
% 28.33/28.23 [251]~E(x2511,x2512)+E(f893(x2513,x2511,x2514),f893(x2513,x2512,x2514))
% 28.33/28.23 [252]~E(x2521,x2522)+E(f893(x2523,x2524,x2521),f893(x2523,x2524,x2522))
% 28.33/28.23 [253]~E(x2531,x2532)+E(f11(x2531,x2533),f11(x2532,x2533))
% 28.33/28.23 [254]~E(x2541,x2542)+E(f11(x2543,x2541),f11(x2543,x2542))
% 28.33/28.23 [255]~E(x2551,x2552)+E(f167(x2551),f167(x2552))
% 28.33/28.23 [256]~E(x2561,x2562)+E(f148(x2561,x2563),f148(x2562,x2563))
% 28.33/28.23 [257]~E(x2571,x2572)+E(f148(x2573,x2571),f148(x2573,x2572))
% 28.33/28.23 [258]~E(x2581,x2582)+E(f69(x2581,x2583,x2584,x2585,x2586),f69(x2582,x2583,x2584,x2585,x2586))
% 28.33/28.23 [259]~E(x2591,x2592)+E(f69(x2593,x2591,x2594,x2595,x2596),f69(x2593,x2592,x2594,x2595,x2596))
% 28.33/28.23 [260]~E(x2601,x2602)+E(f69(x2603,x2604,x2601,x2605,x2606),f69(x2603,x2604,x2602,x2605,x2606))
% 28.33/28.23 [261]~E(x2611,x2612)+E(f69(x2613,x2614,x2615,x2611,x2616),f69(x2613,x2614,x2615,x2612,x2616))
% 28.33/28.23 [262]~E(x2621,x2622)+E(f69(x2623,x2624,x2625,x2626,x2621),f69(x2623,x2624,x2625,x2626,x2622))
% 28.33/28.23 [263]~E(x2631,x2632)+E(f769(x2631,x2633,x2634,x2635),f769(x2632,x2633,x2634,x2635))
% 28.33/28.23 [264]~E(x2641,x2642)+E(f769(x2643,x2641,x2644,x2645),f769(x2643,x2642,x2644,x2645))
% 28.33/28.23 [265]~E(x2651,x2652)+E(f769(x2653,x2654,x2651,x2655),f769(x2653,x2654,x2652,x2655))
% 28.33/28.23 [266]~E(x2661,x2662)+E(f769(x2663,x2664,x2665,x2661),f769(x2663,x2664,x2665,x2662))
% 28.33/28.23 [267]~E(x2671,x2672)+E(f160(x2671,x2673),f160(x2672,x2673))
% 28.33/28.23 [268]~E(x2681,x2682)+E(f160(x2683,x2681),f160(x2683,x2682))
% 28.33/28.23 [269]~E(x2691,x2692)+E(f288(x2691,x2693),f288(x2692,x2693))
% 28.33/28.23 [270]~E(x2701,x2702)+E(f288(x2703,x2701),f288(x2703,x2702))
% 28.33/28.23 [271]~E(x2711,x2712)+E(f894(x2711,x2713,x2714),f894(x2712,x2713,x2714))
% 28.33/28.23 [272]~E(x2721,x2722)+E(f894(x2723,x2721,x2724),f894(x2723,x2722,x2724))
% 28.33/28.23 [273]~E(x2731,x2732)+E(f894(x2733,x2734,x2731),f894(x2733,x2734,x2732))
% 28.33/28.23 [274]~E(x2741,x2742)+E(f851(x2741,x2743,x2744),f851(x2742,x2743,x2744))
% 28.33/28.23 [275]~E(x2751,x2752)+E(f851(x2753,x2751,x2754),f851(x2753,x2752,x2754))
% 28.33/28.23 [276]~E(x2761,x2762)+E(f851(x2763,x2764,x2761),f851(x2763,x2764,x2762))
% 28.33/28.23 [277]~E(x2771,x2772)+E(f255(x2771,x2773),f255(x2772,x2773))
% 28.33/28.23 [278]~E(x2781,x2782)+E(f255(x2783,x2781),f255(x2783,x2782))
% 28.33/28.23 [279]~E(x2791,x2792)+E(f268(x2791,x2793),f268(x2792,x2793))
% 28.33/28.23 [280]~E(x2801,x2802)+E(f268(x2803,x2801),f268(x2803,x2802))
% 28.33/28.23 [281]~E(x2811,x2812)+E(f118(x2811,x2813),f118(x2812,x2813))
% 28.33/28.23 [282]~E(x2821,x2822)+E(f118(x2823,x2821),f118(x2823,x2822))
% 28.33/28.23 [283]~E(x2831,x2832)+E(f146(x2831,x2833),f146(x2832,x2833))
% 28.33/28.23 [284]~E(x2841,x2842)+E(f146(x2843,x2841),f146(x2843,x2842))
% 28.33/28.23 [285]~E(x2851,x2852)+E(f423(x2851,x2853,x2854,x2855,x2856),f423(x2852,x2853,x2854,x2855,x2856))
% 28.33/28.23 [286]~E(x2861,x2862)+E(f423(x2863,x2861,x2864,x2865,x2866),f423(x2863,x2862,x2864,x2865,x2866))
% 28.33/28.23 [287]~E(x2871,x2872)+E(f423(x2873,x2874,x2871,x2875,x2876),f423(x2873,x2874,x2872,x2875,x2876))
% 28.33/28.23 [288]~E(x2881,x2882)+E(f423(x2883,x2884,x2885,x2881,x2886),f423(x2883,x2884,x2885,x2882,x2886))
% 28.33/28.23 [289]~E(x2891,x2892)+E(f423(x2893,x2894,x2895,x2896,x2891),f423(x2893,x2894,x2895,x2896,x2892))
% 28.33/28.23 [290]~E(x2901,x2902)+E(f154(x2901,x2903),f154(x2902,x2903))
% 28.33/28.23 [291]~E(x2911,x2912)+E(f154(x2913,x2911),f154(x2913,x2912))
% 28.33/28.23 [292]~E(x2921,x2922)+E(f89(x2921,x2923),f89(x2922,x2923))
% 28.33/28.23 [293]~E(x2931,x2932)+E(f89(x2933,x2931),f89(x2933,x2932))
% 28.33/28.23 [294]~E(x2941,x2942)+E(f193(x2941),f193(x2942))
% 28.33/28.23 [295]~E(x2951,x2952)+E(f219(x2951,x2953),f219(x2952,x2953))
% 28.33/28.23 [296]~E(x2961,x2962)+E(f219(x2963,x2961),f219(x2963,x2962))
% 28.33/28.23 [297]~E(x2971,x2972)+E(f119(x2971),f119(x2972))
% 28.33/28.23 [298]~E(x2981,x2982)+E(f854(x2981,x2983,x2984),f854(x2982,x2983,x2984))
% 28.33/28.23 [299]~E(x2991,x2992)+E(f854(x2993,x2991,x2994),f854(x2993,x2992,x2994))
% 28.33/28.23 [300]~E(x3001,x3002)+E(f854(x3003,x3004,x3001),f854(x3003,x3004,x3002))
% 28.33/28.23 [301]~E(x3011,x3012)+E(f614(x3011,x3013,x3014,x3015),f614(x3012,x3013,x3014,x3015))
% 28.33/28.23 [302]~E(x3021,x3022)+E(f614(x3023,x3021,x3024,x3025),f614(x3023,x3022,x3024,x3025))
% 28.33/28.23 [303]~E(x3031,x3032)+E(f614(x3033,x3034,x3031,x3035),f614(x3033,x3034,x3032,x3035))
% 28.33/28.23 [304]~E(x3041,x3042)+E(f614(x3043,x3044,x3045,x3041),f614(x3043,x3044,x3045,x3042))
% 28.33/28.23 [305]~E(x3051,x3052)+E(f531(x3051,x3053,x3054,x3055,x3056,x3057),f531(x3052,x3053,x3054,x3055,x3056,x3057))
% 28.33/28.23 [306]~E(x3061,x3062)+E(f531(x3063,x3061,x3064,x3065,x3066,x3067),f531(x3063,x3062,x3064,x3065,x3066,x3067))
% 28.33/28.23 [307]~E(x3071,x3072)+E(f531(x3073,x3074,x3071,x3075,x3076,x3077),f531(x3073,x3074,x3072,x3075,x3076,x3077))
% 28.33/28.23 [308]~E(x3081,x3082)+E(f531(x3083,x3084,x3085,x3081,x3086,x3087),f531(x3083,x3084,x3085,x3082,x3086,x3087))
% 28.33/28.23 [309]~E(x3091,x3092)+E(f531(x3093,x3094,x3095,x3096,x3091,x3097),f531(x3093,x3094,x3095,x3096,x3092,x3097))
% 28.33/28.23 [310]~E(x3101,x3102)+E(f531(x3103,x3104,x3105,x3106,x3107,x3101),f531(x3103,x3104,x3105,x3106,x3107,x3102))
% 28.33/28.23 [311]~E(x3111,x3112)+E(f916(x3111,x3113),f916(x3112,x3113))
% 28.33/28.23 [312]~E(x3121,x3122)+E(f916(x3123,x3121),f916(x3123,x3122))
% 28.33/28.23 [313]~E(x3131,x3132)+E(f52(x3131,x3133),f52(x3132,x3133))
% 28.33/28.23 [314]~E(x3141,x3142)+E(f52(x3143,x3141),f52(x3143,x3142))
% 28.33/28.23 [315]~E(x3151,x3152)+E(f919(x3151,x3153),f919(x3152,x3153))
% 28.33/28.23 [316]~E(x3161,x3162)+E(f919(x3163,x3161),f919(x3163,x3162))
% 28.33/28.23 [317]~E(x3171,x3172)+E(f169(x3171),f169(x3172))
% 28.33/28.23 [318]~E(x3181,x3182)+E(f284(x3181),f284(x3182))
% 28.33/28.23 [319]~E(x3191,x3192)+E(f144(x3191,x3193,x3194,x3195),f144(x3192,x3193,x3194,x3195))
% 28.33/28.23 [320]~E(x3201,x3202)+E(f144(x3203,x3201,x3204,x3205),f144(x3203,x3202,x3204,x3205))
% 28.33/28.23 [321]~E(x3211,x3212)+E(f144(x3213,x3214,x3211,x3215),f144(x3213,x3214,x3212,x3215))
% 28.33/28.23 [322]~E(x3221,x3222)+E(f144(x3223,x3224,x3225,x3221),f144(x3223,x3224,x3225,x3222))
% 28.33/28.23 [323]~E(x3231,x3232)+E(f192(x3231,x3233,x3234,x3235),f192(x3232,x3233,x3234,x3235))
% 28.33/28.23 [324]~E(x3241,x3242)+E(f192(x3243,x3241,x3244,x3245),f192(x3243,x3242,x3244,x3245))
% 28.33/28.23 [325]~E(x3251,x3252)+E(f192(x3253,x3254,x3251,x3255),f192(x3253,x3254,x3252,x3255))
% 28.33/28.23 [326]~E(x3261,x3262)+E(f192(x3263,x3264,x3265,x3261),f192(x3263,x3264,x3265,x3262))
% 28.33/28.23 [327]~E(x3271,x3272)+E(f173(x3271),f173(x3272))
% 28.33/28.23 [328]~E(x3281,x3282)+E(f171(x3281,x3283,x3284),f171(x3282,x3283,x3284))
% 28.33/28.23 [329]~E(x3291,x3292)+E(f171(x3293,x3291,x3294),f171(x3293,x3292,x3294))
% 28.33/28.23 [330]~E(x3301,x3302)+E(f171(x3303,x3304,x3301),f171(x3303,x3304,x3302))
% 28.33/28.23 [331]~E(x3311,x3312)+E(f480(x3311,x3313,x3314),f480(x3312,x3313,x3314))
% 28.33/28.23 [332]~E(x3321,x3322)+E(f480(x3323,x3321,x3324),f480(x3323,x3322,x3324))
% 28.33/28.23 [333]~E(x3331,x3332)+E(f480(x3333,x3334,x3331),f480(x3333,x3334,x3332))
% 28.33/28.23 [334]~E(x3341,x3342)+E(f849(x3341,x3343,x3344),f849(x3342,x3343,x3344))
% 28.33/28.23 [335]~E(x3351,x3352)+E(f849(x3353,x3351,x3354),f849(x3353,x3352,x3354))
% 28.33/28.23 [336]~E(x3361,x3362)+E(f849(x3363,x3364,x3361),f849(x3363,x3364,x3362))
% 28.33/28.23 [337]~E(x3371,x3372)+E(f185(x3371,x3373),f185(x3372,x3373))
% 28.33/28.23 [338]~E(x3381,x3382)+E(f185(x3383,x3381),f185(x3383,x3382))
% 28.33/28.23 [339]~E(x3391,x3392)+E(f100(x3391),f100(x3392))
% 28.33/28.23 [340]~E(x3401,x3402)+E(f17(x3401,x3403),f17(x3402,x3403))
% 28.33/28.23 [341]~E(x3411,x3412)+E(f17(x3413,x3411),f17(x3413,x3412))
% 28.33/28.23 [342]~E(x3421,x3422)+E(f18(x3421,x3423),f18(x3422,x3423))
% 28.33/28.23 [343]~E(x3431,x3432)+E(f18(x3433,x3431),f18(x3433,x3432))
% 28.33/28.23 [344]~E(x3441,x3442)+E(f180(x3441,x3443),f180(x3442,x3443))
% 28.33/28.23 [345]~E(x3451,x3452)+E(f180(x3453,x3451),f180(x3453,x3452))
% 28.33/28.23 [346]~E(x3461,x3462)+E(f868(x3461,x3463,x3464),f868(x3462,x3463,x3464))
% 28.33/28.23 [347]~E(x3471,x3472)+E(f868(x3473,x3471,x3474),f868(x3473,x3472,x3474))
% 28.33/28.23 [348]~E(x3481,x3482)+E(f868(x3483,x3484,x3481),f868(x3483,x3484,x3482))
% 28.33/28.23 [349]~E(x3491,x3492)+E(f312(x3491,x3493,x3494),f312(x3492,x3493,x3494))
% 28.33/28.23 [350]~E(x3501,x3502)+E(f312(x3503,x3501,x3504),f312(x3503,x3502,x3504))
% 28.33/28.23 [351]~E(x3511,x3512)+E(f312(x3513,x3514,x3511),f312(x3513,x3514,x3512))
% 28.33/28.23 [352]~E(x3521,x3522)+E(f829(x3521,x3523,x3524),f829(x3522,x3523,x3524))
% 28.33/28.23 [353]~E(x3531,x3532)+E(f829(x3533,x3531,x3534),f829(x3533,x3532,x3534))
% 28.33/28.23 [354]~E(x3541,x3542)+E(f829(x3543,x3544,x3541),f829(x3543,x3544,x3542))
% 28.33/28.23 [355]~E(x3551,x3552)+E(f27(x3551,x3553),f27(x3552,x3553))
% 28.33/28.23 [356]~E(x3561,x3562)+E(f27(x3563,x3561),f27(x3563,x3562))
% 28.33/28.23 [357]~E(x3571,x3572)+E(f261(x3571,x3573,x3574),f261(x3572,x3573,x3574))
% 28.33/28.23 [358]~E(x3581,x3582)+E(f261(x3583,x3581,x3584),f261(x3583,x3582,x3584))
% 28.33/28.23 [359]~E(x3591,x3592)+E(f261(x3593,x3594,x3591),f261(x3593,x3594,x3592))
% 28.33/28.23 [360]~E(x3601,x3602)+E(f467(x3601,x3603),f467(x3602,x3603))
% 28.33/28.23 [361]~E(x3611,x3612)+E(f467(x3613,x3611),f467(x3613,x3612))
% 28.33/28.23 [362]~E(x3621,x3622)+E(f15(x3621,x3623,x3624),f15(x3622,x3623,x3624))
% 28.33/28.23 [363]~E(x3631,x3632)+E(f15(x3633,x3631,x3634),f15(x3633,x3632,x3634))
% 28.33/28.23 [364]~E(x3641,x3642)+E(f15(x3643,x3644,x3641),f15(x3643,x3644,x3642))
% 28.33/28.23 [365]~E(x3651,x3652)+E(f319(x3651,x3653),f319(x3652,x3653))
% 28.33/28.23 [366]~E(x3661,x3662)+E(f319(x3663,x3661),f319(x3663,x3662))
% 28.33/28.23 [367]~E(x3671,x3672)+E(f159(x3671,x3673),f159(x3672,x3673))
% 28.33/28.23 [368]~E(x3681,x3682)+E(f159(x3683,x3681),f159(x3683,x3682))
% 28.33/28.23 [369]~E(x3691,x3692)+E(f321(x3691,x3693),f321(x3692,x3693))
% 28.33/28.23 [370]~E(x3701,x3702)+E(f321(x3703,x3701),f321(x3703,x3702))
% 28.33/28.23 [371]~E(x3711,x3712)+E(f182(x3711),f182(x3712))
% 28.33/28.23 [372]~E(x3721,x3722)+E(f847(x3721,x3723,x3724),f847(x3722,x3723,x3724))
% 28.33/28.23 [373]~E(x3731,x3732)+E(f847(x3733,x3731,x3734),f847(x3733,x3732,x3734))
% 28.33/28.23 [374]~E(x3741,x3742)+E(f847(x3743,x3744,x3741),f847(x3743,x3744,x3742))
% 28.33/28.23 [375]~E(x3751,x3752)+E(f404(x3751,x3753,x3754,x3755,x3756,x3757,x3758),f404(x3752,x3753,x3754,x3755,x3756,x3757,x3758))
% 28.33/28.23 [376]~E(x3761,x3762)+E(f404(x3763,x3761,x3764,x3765,x3766,x3767,x3768),f404(x3763,x3762,x3764,x3765,x3766,x3767,x3768))
% 28.33/28.23 [377]~E(x3771,x3772)+E(f404(x3773,x3774,x3771,x3775,x3776,x3777,x3778),f404(x3773,x3774,x3772,x3775,x3776,x3777,x3778))
% 28.33/28.23 [378]~E(x3781,x3782)+E(f404(x3783,x3784,x3785,x3781,x3786,x3787,x3788),f404(x3783,x3784,x3785,x3782,x3786,x3787,x3788))
% 28.33/28.23 [379]~E(x3791,x3792)+E(f404(x3793,x3794,x3795,x3796,x3791,x3797,x3798),f404(x3793,x3794,x3795,x3796,x3792,x3797,x3798))
% 28.33/28.23 [380]~E(x3801,x3802)+E(f404(x3803,x3804,x3805,x3806,x3807,x3801,x3808),f404(x3803,x3804,x3805,x3806,x3807,x3802,x3808))
% 28.33/28.23 [381]~E(x3811,x3812)+E(f404(x3813,x3814,x3815,x3816,x3817,x3818,x3811),f404(x3813,x3814,x3815,x3816,x3817,x3818,x3812))
% 28.33/28.23 [382]~E(x3821,x3822)+E(f143(x3821),f143(x3822))
% 28.33/28.23 [383]~E(x3831,x3832)+E(f672(x3831,x3833),f672(x3832,x3833))
% 28.33/28.23 [384]~E(x3841,x3842)+E(f672(x3843,x3841),f672(x3843,x3842))
% 28.33/28.23 [385]~E(x3851,x3852)+E(f262(x3851,x3853,x3854,x3855,x3856,x3857),f262(x3852,x3853,x3854,x3855,x3856,x3857))
% 28.33/28.23 [386]~E(x3861,x3862)+E(f262(x3863,x3861,x3864,x3865,x3866,x3867),f262(x3863,x3862,x3864,x3865,x3866,x3867))
% 28.33/28.23 [387]~E(x3871,x3872)+E(f262(x3873,x3874,x3871,x3875,x3876,x3877),f262(x3873,x3874,x3872,x3875,x3876,x3877))
% 28.33/28.23 [388]~E(x3881,x3882)+E(f262(x3883,x3884,x3885,x3881,x3886,x3887),f262(x3883,x3884,x3885,x3882,x3886,x3887))
% 28.33/28.23 [389]~E(x3891,x3892)+E(f262(x3893,x3894,x3895,x3896,x3891,x3897),f262(x3893,x3894,x3895,x3896,x3892,x3897))
% 28.33/28.23 [390]~E(x3901,x3902)+E(f262(x3903,x3904,x3905,x3906,x3907,x3901),f262(x3903,x3904,x3905,x3906,x3907,x3902))
% 28.33/28.23 [391]~E(x3911,x3912)+E(f901(x3911,x3913,x3914,x3915,x3916),f901(x3912,x3913,x3914,x3915,x3916))
% 28.33/28.23 [392]~E(x3921,x3922)+E(f901(x3923,x3921,x3924,x3925,x3926),f901(x3923,x3922,x3924,x3925,x3926))
% 28.33/28.23 [393]~E(x3931,x3932)+E(f901(x3933,x3934,x3931,x3935,x3936),f901(x3933,x3934,x3932,x3935,x3936))
% 28.33/28.23 [394]~E(x3941,x3942)+E(f901(x3943,x3944,x3945,x3941,x3946),f901(x3943,x3944,x3945,x3942,x3946))
% 28.33/28.23 [395]~E(x3951,x3952)+E(f901(x3953,x3954,x3955,x3956,x3951),f901(x3953,x3954,x3955,x3956,x3952))
% 28.33/28.23 [396]~E(x3961,x3962)+E(f297(x3961,x3963,x3964,x3965),f297(x3962,x3963,x3964,x3965))
% 28.33/28.23 [397]~E(x3971,x3972)+E(f297(x3973,x3971,x3974,x3975),f297(x3973,x3972,x3974,x3975))
% 28.33/28.23 [398]~E(x3981,x3982)+E(f297(x3983,x3984,x3981,x3985),f297(x3983,x3984,x3982,x3985))
% 28.33/28.23 [399]~E(x3991,x3992)+E(f297(x3993,x3994,x3995,x3991),f297(x3993,x3994,x3995,x3992))
% 28.33/28.23 [400]~E(x4001,x4002)+E(f505(x4001,x4003,x4004,x4005),f505(x4002,x4003,x4004,x4005))
% 28.33/28.23 [401]~E(x4011,x4012)+E(f505(x4013,x4011,x4014,x4015),f505(x4013,x4012,x4014,x4015))
% 28.33/28.23 [402]~E(x4021,x4022)+E(f505(x4023,x4024,x4021,x4025),f505(x4023,x4024,x4022,x4025))
% 28.33/28.23 [403]~E(x4031,x4032)+E(f505(x4033,x4034,x4035,x4031),f505(x4033,x4034,x4035,x4032))
% 28.33/28.23 [404]~E(x4041,x4042)+E(f29(x4041,x4043,x4044),f29(x4042,x4043,x4044))
% 28.33/28.23 [405]~E(x4051,x4052)+E(f29(x4053,x4051,x4054),f29(x4053,x4052,x4054))
% 28.33/28.23 [406]~E(x4061,x4062)+E(f29(x4063,x4064,x4061),f29(x4063,x4064,x4062))
% 28.33/28.23 [407]~E(x4071,x4072)+E(f88(x4071,x4073),f88(x4072,x4073))
% 28.33/28.23 [408]~E(x4081,x4082)+E(f88(x4083,x4081),f88(x4083,x4082))
% 28.33/28.23 [409]~E(x4091,x4092)+E(f872(x4091,x4093,x4094),f872(x4092,x4093,x4094))
% 28.33/28.23 [410]~E(x4101,x4102)+E(f872(x4103,x4101,x4104),f872(x4103,x4102,x4104))
% 28.33/28.23 [411]~E(x4111,x4112)+E(f872(x4113,x4114,x4111),f872(x4113,x4114,x4112))
% 28.33/28.23 [412]~E(x4121,x4122)+E(f625(x4121,x4123,x4124,x4125,x4126),f625(x4122,x4123,x4124,x4125,x4126))
% 28.33/28.23 [413]~E(x4131,x4132)+E(f625(x4133,x4131,x4134,x4135,x4136),f625(x4133,x4132,x4134,x4135,x4136))
% 28.33/28.23 [414]~E(x4141,x4142)+E(f625(x4143,x4144,x4141,x4145,x4146),f625(x4143,x4144,x4142,x4145,x4146))
% 28.33/28.23 [415]~E(x4151,x4152)+E(f625(x4153,x4154,x4155,x4151,x4156),f625(x4153,x4154,x4155,x4152,x4156))
% 28.33/28.23 [416]~E(x4161,x4162)+E(f625(x4163,x4164,x4165,x4166,x4161),f625(x4163,x4164,x4165,x4166,x4162))
% 28.33/28.23 [417]~E(x4171,x4172)+E(f183(x4171,x4173),f183(x4172,x4173))
% 28.33/28.23 [418]~E(x4181,x4182)+E(f183(x4183,x4181),f183(x4183,x4182))
% 28.33/28.23 [419]~E(x4191,x4192)+E(f669(x4191,x4193,x4194,x4195),f669(x4192,x4193,x4194,x4195))
% 28.33/28.23 [420]~E(x4201,x4202)+E(f669(x4203,x4201,x4204,x4205),f669(x4203,x4202,x4204,x4205))
% 28.33/28.23 [421]~E(x4211,x4212)+E(f669(x4213,x4214,x4211,x4215),f669(x4213,x4214,x4212,x4215))
% 28.33/28.23 [422]~E(x4221,x4222)+E(f669(x4223,x4224,x4225,x4221),f669(x4223,x4224,x4225,x4222))
% 28.33/28.23 [423]~E(x4231,x4232)+E(f462(x4231,x4233,x4234,x4235),f462(x4232,x4233,x4234,x4235))
% 28.33/28.23 [424]~E(x4241,x4242)+E(f462(x4243,x4241,x4244,x4245),f462(x4243,x4242,x4244,x4245))
% 28.33/28.23 [425]~E(x4251,x4252)+E(f462(x4253,x4254,x4251,x4255),f462(x4253,x4254,x4252,x4255))
% 28.33/28.23 [426]~E(x4261,x4262)+E(f462(x4263,x4264,x4265,x4261),f462(x4263,x4264,x4265,x4262))
% 28.33/28.23 [427]~E(x4271,x4272)+E(f93(x4271,x4273),f93(x4272,x4273))
% 28.33/28.23 [428]~E(x4281,x4282)+E(f93(x4283,x4281),f93(x4283,x4282))
% 28.33/28.23 [429]~E(x4291,x4292)+E(f147(x4291,x4293),f147(x4292,x4293))
% 28.33/28.23 [430]~E(x4301,x4302)+E(f147(x4303,x4301),f147(x4303,x4302))
% 28.33/28.23 [431]~E(x4311,x4312)+E(f158(x4311,x4313,x4314,x4315),f158(x4312,x4313,x4314,x4315))
% 28.33/28.23 [432]~E(x4321,x4322)+E(f158(x4323,x4321,x4324,x4325),f158(x4323,x4322,x4324,x4325))
% 28.33/28.23 [433]~E(x4331,x4332)+E(f158(x4333,x4334,x4331,x4335),f158(x4333,x4334,x4332,x4335))
% 28.33/28.23 [434]~E(x4341,x4342)+E(f158(x4343,x4344,x4345,x4341),f158(x4343,x4344,x4345,x4342))
% 28.33/28.23 [435]~E(x4351,x4352)+E(f780(x4351,x4353),f780(x4352,x4353))
% 28.33/28.23 [436]~E(x4361,x4362)+E(f780(x4363,x4361),f780(x4363,x4362))
% 28.33/28.23 [437]~E(x4371,x4372)+E(f155(x4371,x4373),f155(x4372,x4373))
% 28.33/28.23 [438]~E(x4381,x4382)+E(f155(x4383,x4381),f155(x4383,x4382))
% 28.33/28.23 [439]~E(x4391,x4392)+E(f267(x4391,x4393),f267(x4392,x4393))
% 28.33/28.23 [440]~E(x4401,x4402)+E(f267(x4403,x4401),f267(x4403,x4402))
% 28.33/28.23 [441]~E(x4411,x4412)+E(f95(x4411,x4413,x4414,x4415),f95(x4412,x4413,x4414,x4415))
% 28.33/28.23 [442]~E(x4421,x4422)+E(f95(x4423,x4421,x4424,x4425),f95(x4423,x4422,x4424,x4425))
% 28.33/28.23 [443]~E(x4431,x4432)+E(f95(x4433,x4434,x4431,x4435),f95(x4433,x4434,x4432,x4435))
% 28.33/28.23 [444]~E(x4441,x4442)+E(f95(x4443,x4444,x4445,x4441),f95(x4443,x4444,x4445,x4442))
% 28.33/28.23 [445]~E(x4451,x4452)+E(f213(x4451,x4453,x4454,x4455),f213(x4452,x4453,x4454,x4455))
% 28.33/28.23 [446]~E(x4461,x4462)+E(f213(x4463,x4461,x4464,x4465),f213(x4463,x4462,x4464,x4465))
% 28.33/28.23 [447]~E(x4471,x4472)+E(f213(x4473,x4474,x4471,x4475),f213(x4473,x4474,x4472,x4475))
% 28.33/28.23 [448]~E(x4481,x4482)+E(f213(x4483,x4484,x4485,x4481),f213(x4483,x4484,x4485,x4482))
% 28.33/28.23 [449]~E(x4491,x4492)+E(f300(x4491,x4493,x4494,x4495),f300(x4492,x4493,x4494,x4495))
% 28.33/28.23 [450]~E(x4501,x4502)+E(f300(x4503,x4501,x4504,x4505),f300(x4503,x4502,x4504,x4505))
% 28.33/28.23 [451]~E(x4511,x4512)+E(f300(x4513,x4514,x4511,x4515),f300(x4513,x4514,x4512,x4515))
% 28.33/28.23 [452]~E(x4521,x4522)+E(f300(x4523,x4524,x4525,x4521),f300(x4523,x4524,x4525,x4522))
% 28.33/28.23 [453]~E(x4531,x4532)+E(f179(x4531,x4533,x4534),f179(x4532,x4533,x4534))
% 28.33/28.23 [454]~E(x4541,x4542)+E(f179(x4543,x4541,x4544),f179(x4543,x4542,x4544))
% 28.33/28.23 [455]~E(x4551,x4552)+E(f179(x4553,x4554,x4551),f179(x4553,x4554,x4552))
% 28.33/28.23 [456]~E(x4561,x4562)+E(f503(x4561),f503(x4562))
% 28.33/28.23 [457]~E(x4571,x4572)+E(f114(x4571),f114(x4572))
% 28.33/28.23 [458]~E(x4581,x4582)+E(f401(x4581,x4583,x4584,x4585,x4586,x4587,x4588),f401(x4582,x4583,x4584,x4585,x4586,x4587,x4588))
% 28.33/28.23 [459]~E(x4591,x4592)+E(f401(x4593,x4591,x4594,x4595,x4596,x4597,x4598),f401(x4593,x4592,x4594,x4595,x4596,x4597,x4598))
% 28.33/28.23 [460]~E(x4601,x4602)+E(f401(x4603,x4604,x4601,x4605,x4606,x4607,x4608),f401(x4603,x4604,x4602,x4605,x4606,x4607,x4608))
% 28.33/28.23 [461]~E(x4611,x4612)+E(f401(x4613,x4614,x4615,x4611,x4616,x4617,x4618),f401(x4613,x4614,x4615,x4612,x4616,x4617,x4618))
% 28.33/28.23 [462]~E(x4621,x4622)+E(f401(x4623,x4624,x4625,x4626,x4621,x4627,x4628),f401(x4623,x4624,x4625,x4626,x4622,x4627,x4628))
% 28.33/28.23 [463]~E(x4631,x4632)+E(f401(x4633,x4634,x4635,x4636,x4637,x4631,x4638),f401(x4633,x4634,x4635,x4636,x4637,x4632,x4638))
% 28.33/28.23 [464]~E(x4641,x4642)+E(f401(x4643,x4644,x4645,x4646,x4647,x4648,x4641),f401(x4643,x4644,x4645,x4646,x4647,x4648,x4642))
% 28.33/28.23 [465]~E(x4651,x4652)+E(f197(x4651,x4653),f197(x4652,x4653))
% 28.33/28.23 [466]~E(x4661,x4662)+E(f197(x4663,x4661),f197(x4663,x4662))
% 28.33/28.23 [467]~E(x4671,x4672)+E(f432(x4671,x4673),f432(x4672,x4673))
% 28.33/28.23 [468]~E(x4681,x4682)+E(f432(x4683,x4681),f432(x4683,x4682))
% 28.33/28.23 [469]~E(x4691,x4692)+E(f642(x4691,x4693,x4694),f642(x4692,x4693,x4694))
% 28.33/28.23 [470]~E(x4701,x4702)+E(f642(x4703,x4701,x4704),f642(x4703,x4702,x4704))
% 28.33/28.23 [471]~E(x4711,x4712)+E(f642(x4713,x4714,x4711),f642(x4713,x4714,x4712))
% 28.33/28.23 [472]~E(x4721,x4722)+E(f123(x4721),f123(x4722))
% 28.33/28.23 [473]~E(x4731,x4732)+E(f151(x4731,x4733,x4734,x4735,x4736),f151(x4732,x4733,x4734,x4735,x4736))
% 28.33/28.23 [474]~E(x4741,x4742)+E(f151(x4743,x4741,x4744,x4745,x4746),f151(x4743,x4742,x4744,x4745,x4746))
% 28.33/28.23 [475]~E(x4751,x4752)+E(f151(x4753,x4754,x4751,x4755,x4756),f151(x4753,x4754,x4752,x4755,x4756))
% 28.33/28.23 [476]~E(x4761,x4762)+E(f151(x4763,x4764,x4765,x4761,x4766),f151(x4763,x4764,x4765,x4762,x4766))
% 28.33/28.23 [477]~E(x4771,x4772)+E(f151(x4773,x4774,x4775,x4776,x4771),f151(x4773,x4774,x4775,x4776,x4772))
% 28.33/28.23 [478]~E(x4781,x4782)+E(f644(x4781,x4783,x4784),f644(x4782,x4783,x4784))
% 28.33/28.23 [479]~E(x4791,x4792)+E(f644(x4793,x4791,x4794),f644(x4793,x4792,x4794))
% 28.33/28.23 [480]~E(x4801,x4802)+E(f644(x4803,x4804,x4801),f644(x4803,x4804,x4802))
% 28.33/28.23 [481]~E(x4811,x4812)+E(f66(x4811,x4813),f66(x4812,x4813))
% 28.33/28.23 [482]~E(x4821,x4822)+E(f66(x4823,x4821),f66(x4823,x4822))
% 28.33/28.23 [483]~E(x4831,x4832)+E(f149(x4831,x4833),f149(x4832,x4833))
% 28.33/28.23 [484]~E(x4841,x4842)+E(f149(x4843,x4841),f149(x4843,x4842))
% 28.33/28.23 [485]~E(x4851,x4852)+E(f632(x4851,x4853,x4854),f632(x4852,x4853,x4854))
% 28.33/28.23 [486]~E(x4861,x4862)+E(f632(x4863,x4861,x4864),f632(x4863,x4862,x4864))
% 28.33/28.23 [487]~E(x4871,x4872)+E(f632(x4873,x4874,x4871),f632(x4873,x4874,x4872))
% 28.33/28.23 [488]~E(x4881,x4882)+E(f168(x4881,x4883,x4884),f168(x4882,x4883,x4884))
% 28.33/28.23 [489]~E(x4891,x4892)+E(f168(x4893,x4891,x4894),f168(x4893,x4892,x4894))
% 28.33/28.23 [490]~E(x4901,x4902)+E(f168(x4903,x4904,x4901),f168(x4903,x4904,x4902))
% 28.33/28.23 [491]~E(x4911,x4912)+E(f810(x4911,x4913,x4914),f810(x4912,x4913,x4914))
% 28.33/28.23 [492]~E(x4921,x4922)+E(f810(x4923,x4921,x4924),f810(x4923,x4922,x4924))
% 28.33/28.23 [493]~E(x4931,x4932)+E(f810(x4933,x4934,x4931),f810(x4933,x4934,x4932))
% 28.33/28.23 [494]~E(x4941,x4942)+E(f258(x4941,x4943),f258(x4942,x4943))
% 28.33/28.23 [495]~E(x4951,x4952)+E(f258(x4953,x4951),f258(x4953,x4952))
% 28.33/28.23 [496]~E(x4961,x4962)+E(f270(x4961,x4963),f270(x4962,x4963))
% 28.33/28.23 [497]~E(x4971,x4972)+E(f270(x4973,x4971),f270(x4973,x4972))
% 28.33/28.23 [498]~E(x4981,x4982)+E(f733(x4981,x4983,x4984,x4985,x4986,x4987,x4988),f733(x4982,x4983,x4984,x4985,x4986,x4987,x4988))
% 28.33/28.23 [499]~E(x4991,x4992)+E(f733(x4993,x4991,x4994,x4995,x4996,x4997,x4998),f733(x4993,x4992,x4994,x4995,x4996,x4997,x4998))
% 28.33/28.23 [500]~E(x5001,x5002)+E(f733(x5003,x5004,x5001,x5005,x5006,x5007,x5008),f733(x5003,x5004,x5002,x5005,x5006,x5007,x5008))
% 28.33/28.23 [501]~E(x5011,x5012)+E(f733(x5013,x5014,x5015,x5011,x5016,x5017,x5018),f733(x5013,x5014,x5015,x5012,x5016,x5017,x5018))
% 28.33/28.23 [502]~E(x5021,x5022)+E(f733(x5023,x5024,x5025,x5026,x5021,x5027,x5028),f733(x5023,x5024,x5025,x5026,x5022,x5027,x5028))
% 28.33/28.23 [503]~E(x5031,x5032)+E(f733(x5033,x5034,x5035,x5036,x5037,x5031,x5038),f733(x5033,x5034,x5035,x5036,x5037,x5032,x5038))
% 28.33/28.23 [504]~E(x5041,x5042)+E(f733(x5043,x5044,x5045,x5046,x5047,x5048,x5041),f733(x5043,x5044,x5045,x5046,x5047,x5048,x5042))
% 28.33/28.23 [505]~E(x5051,x5052)+E(f592(x5051,x5053,x5054),f592(x5052,x5053,x5054))
% 28.33/28.23 [506]~E(x5061,x5062)+E(f592(x5063,x5061,x5064),f592(x5063,x5062,x5064))
% 28.33/28.23 [507]~E(x5071,x5072)+E(f592(x5073,x5074,x5071),f592(x5073,x5074,x5072))
% 28.33/28.23 [508]~E(x5081,x5082)+E(f626(x5081,x5083,x5084,x5085,x5086,x5087,x5088,x5089),f626(x5082,x5083,x5084,x5085,x5086,x5087,x5088,x5089))
% 28.33/28.23 [509]~E(x5091,x5092)+E(f626(x5093,x5091,x5094,x5095,x5096,x5097,x5098,x5099),f626(x5093,x5092,x5094,x5095,x5096,x5097,x5098,x5099))
% 28.33/28.23 [510]~E(x5101,x5102)+E(f626(x5103,x5104,x5101,x5105,x5106,x5107,x5108,x5109),f626(x5103,x5104,x5102,x5105,x5106,x5107,x5108,x5109))
% 28.33/28.23 [511]~E(x5111,x5112)+E(f626(x5113,x5114,x5115,x5111,x5116,x5117,x5118,x5119),f626(x5113,x5114,x5115,x5112,x5116,x5117,x5118,x5119))
% 28.33/28.23 [512]~E(x5121,x5122)+E(f626(x5123,x5124,x5125,x5126,x5121,x5127,x5128,x5129),f626(x5123,x5124,x5125,x5126,x5122,x5127,x5128,x5129))
% 28.33/28.23 [513]~E(x5131,x5132)+E(f626(x5133,x5134,x5135,x5136,x5137,x5131,x5138,x5139),f626(x5133,x5134,x5135,x5136,x5137,x5132,x5138,x5139))
% 28.33/28.23 [514]~E(x5141,x5142)+E(f626(x5143,x5144,x5145,x5146,x5147,x5148,x5141,x5149),f626(x5143,x5144,x5145,x5146,x5147,x5148,x5142,x5149))
% 28.33/28.23 [515]~E(x5151,x5152)+E(f626(x5153,x5154,x5155,x5156,x5157,x5158,x5159,x5151),f626(x5153,x5154,x5155,x5156,x5157,x5158,x5159,x5152))
% 28.33/28.23 [516]~E(x5161,x5162)+E(f260(x5161,x5163),f260(x5162,x5163))
% 28.33/28.23 [517]~E(x5171,x5172)+E(f260(x5173,x5171),f260(x5173,x5172))
% 28.33/28.23 [518]~E(x5181,x5182)+E(f181(x5181,x5183),f181(x5182,x5183))
% 28.33/28.23 [519]~E(x5191,x5192)+E(f181(x5193,x5191),f181(x5193,x5192))
% 28.33/28.23 [520]~E(x5201,x5202)+E(f526(x5201),f526(x5202))
% 28.33/28.23 [521]~E(x5211,x5212)+E(f290(x5211,x5213,x5214),f290(x5212,x5213,x5214))
% 28.33/28.23 [522]~E(x5221,x5222)+E(f290(x5223,x5221,x5224),f290(x5223,x5222,x5224))
% 28.33/28.23 [523]~E(x5231,x5232)+E(f290(x5233,x5234,x5231),f290(x5233,x5234,x5232))
% 28.33/28.23 [524]~E(x5241,x5242)+E(f139(x5241),f139(x5242))
% 28.33/28.23 [525]~E(x5251,x5252)+E(f568(x5251,x5253,x5254,x5255,x5256),f568(x5252,x5253,x5254,x5255,x5256))
% 28.33/28.23 [526]~E(x5261,x5262)+E(f568(x5263,x5261,x5264,x5265,x5266),f568(x5263,x5262,x5264,x5265,x5266))
% 28.33/28.23 [527]~E(x5271,x5272)+E(f568(x5273,x5274,x5271,x5275,x5276),f568(x5273,x5274,x5272,x5275,x5276))
% 28.33/28.23 [528]~E(x5281,x5282)+E(f568(x5283,x5284,x5285,x5281,x5286),f568(x5283,x5284,x5285,x5282,x5286))
% 28.33/28.23 [529]~E(x5291,x5292)+E(f568(x5293,x5294,x5295,x5296,x5291),f568(x5293,x5294,x5295,x5296,x5292))
% 28.33/28.23 [530]~E(x5301,x5302)+E(f224(x5301,x5303,x5304,x5305),f224(x5302,x5303,x5304,x5305))
% 28.33/28.23 [531]~E(x5311,x5312)+E(f224(x5313,x5311,x5314,x5315),f224(x5313,x5312,x5314,x5315))
% 28.33/28.23 [532]~E(x5321,x5322)+E(f224(x5323,x5324,x5321,x5325),f224(x5323,x5324,x5322,x5325))
% 28.33/28.23 [533]~E(x5331,x5332)+E(f224(x5333,x5334,x5335,x5331),f224(x5333,x5334,x5335,x5332))
% 28.33/28.23 [534]~E(x5341,x5342)+E(f253(x5341,x5343,x5344),f253(x5342,x5343,x5344))
% 28.33/28.23 [535]~E(x5351,x5352)+E(f253(x5353,x5351,x5354),f253(x5353,x5352,x5354))
% 28.33/28.23 [536]~E(x5361,x5362)+E(f253(x5363,x5364,x5361),f253(x5363,x5364,x5362))
% 28.33/28.23 [537]~E(x5371,x5372)+E(f867(x5371,x5373,x5374),f867(x5372,x5373,x5374))
% 28.33/28.23 [538]~E(x5381,x5382)+E(f867(x5383,x5381,x5384),f867(x5383,x5382,x5384))
% 28.33/28.23 [539]~E(x5391,x5392)+E(f867(x5393,x5394,x5391),f867(x5393,x5394,x5392))
% 28.33/28.23 [540]~E(x5401,x5402)+E(f315(x5401),f315(x5402))
% 28.33/28.23 [541]~E(x5411,x5412)+E(f641(x5411,x5413,x5414),f641(x5412,x5413,x5414))
% 28.33/28.23 [542]~E(x5421,x5422)+E(f641(x5423,x5421,x5424),f641(x5423,x5422,x5424))
% 28.33/28.23 [543]~E(x5431,x5432)+E(f641(x5433,x5434,x5431),f641(x5433,x5434,x5432))
% 28.33/28.23 [544]~E(x5441,x5442)+E(f68(x5441,x5443,x5444),f68(x5442,x5443,x5444))
% 28.33/28.23 [545]~E(x5451,x5452)+E(f68(x5453,x5451,x5454),f68(x5453,x5452,x5454))
% 28.33/28.23 [546]~E(x5461,x5462)+E(f68(x5463,x5464,x5461),f68(x5463,x5464,x5462))
% 28.33/28.23 [547]~E(x5471,x5472)+E(f14(x5471,x5473,x5474),f14(x5472,x5473,x5474))
% 28.33/28.23 [548]~E(x5481,x5482)+E(f14(x5483,x5481,x5484),f14(x5483,x5482,x5484))
% 28.33/28.23 [549]~E(x5491,x5492)+E(f14(x5493,x5494,x5491),f14(x5493,x5494,x5492))
% 28.33/28.23 [550]~E(x5501,x5502)+E(f553(x5501,x5503,x5504,x5505),f553(x5502,x5503,x5504,x5505))
% 28.33/28.23 [551]~E(x5511,x5512)+E(f553(x5513,x5511,x5514,x5515),f553(x5513,x5512,x5514,x5515))
% 28.33/28.23 [552]~E(x5521,x5522)+E(f553(x5523,x5524,x5521,x5525),f553(x5523,x5524,x5522,x5525))
% 28.33/28.23 [553]~E(x5531,x5532)+E(f553(x5533,x5534,x5535,x5531),f553(x5533,x5534,x5535,x5532))
% 28.33/28.23 [554]~E(x5541,x5542)+E(f494(x5541,x5543,x5544,x5545,x5546,x5547),f494(x5542,x5543,x5544,x5545,x5546,x5547))
% 28.33/28.23 [555]~E(x5551,x5552)+E(f494(x5553,x5551,x5554,x5555,x5556,x5557),f494(x5553,x5552,x5554,x5555,x5556,x5557))
% 28.33/28.23 [556]~E(x5561,x5562)+E(f494(x5563,x5564,x5561,x5565,x5566,x5567),f494(x5563,x5564,x5562,x5565,x5566,x5567))
% 28.33/28.23 [557]~E(x5571,x5572)+E(f494(x5573,x5574,x5575,x5571,x5576,x5577),f494(x5573,x5574,x5575,x5572,x5576,x5577))
% 28.33/28.23 [558]~E(x5581,x5582)+E(f494(x5583,x5584,x5585,x5586,x5581,x5587),f494(x5583,x5584,x5585,x5586,x5582,x5587))
% 28.33/28.23 [559]~E(x5591,x5592)+E(f494(x5593,x5594,x5595,x5596,x5597,x5591),f494(x5593,x5594,x5595,x5596,x5597,x5592))
% 28.33/28.23 [560]~E(x5601,x5602)+E(f286(x5601,x5603),f286(x5602,x5603))
% 28.33/28.23 [561]~E(x5611,x5612)+E(f286(x5613,x5611),f286(x5613,x5612))
% 28.33/28.23 [562]~E(x5621,x5622)+E(f13(x5621,x5623),f13(x5622,x5623))
% 28.33/28.23 [563]~E(x5631,x5632)+E(f13(x5633,x5631),f13(x5633,x5632))
% 28.33/28.23 [564]~E(x5641,x5642)+E(f714(x5641,x5643,x5644,x5645,x5646,x5647,x5648),f714(x5642,x5643,x5644,x5645,x5646,x5647,x5648))
% 28.33/28.23 [565]~E(x5651,x5652)+E(f714(x5653,x5651,x5654,x5655,x5656,x5657,x5658),f714(x5653,x5652,x5654,x5655,x5656,x5657,x5658))
% 28.33/28.23 [566]~E(x5661,x5662)+E(f714(x5663,x5664,x5661,x5665,x5666,x5667,x5668),f714(x5663,x5664,x5662,x5665,x5666,x5667,x5668))
% 28.33/28.23 [567]~E(x5671,x5672)+E(f714(x5673,x5674,x5675,x5671,x5676,x5677,x5678),f714(x5673,x5674,x5675,x5672,x5676,x5677,x5678))
% 28.33/28.23 [568]~E(x5681,x5682)+E(f714(x5683,x5684,x5685,x5686,x5681,x5687,x5688),f714(x5683,x5684,x5685,x5686,x5682,x5687,x5688))
% 28.33/28.23 [569]~E(x5691,x5692)+E(f714(x5693,x5694,x5695,x5696,x5697,x5691,x5698),f714(x5693,x5694,x5695,x5696,x5697,x5692,x5698))
% 28.33/28.23 [570]~E(x5701,x5702)+E(f714(x5703,x5704,x5705,x5706,x5707,x5708,x5701),f714(x5703,x5704,x5705,x5706,x5707,x5708,x5702))
% 28.33/28.23 [571]~E(x5711,x5712)+E(f881(x5711,x5713,x5714,x5715),f881(x5712,x5713,x5714,x5715))
% 28.33/28.23 [572]~E(x5721,x5722)+E(f881(x5723,x5721,x5724,x5725),f881(x5723,x5722,x5724,x5725))
% 28.33/28.23 [573]~E(x5731,x5732)+E(f881(x5733,x5734,x5731,x5735),f881(x5733,x5734,x5732,x5735))
% 28.33/28.23 [574]~E(x5741,x5742)+E(f881(x5743,x5744,x5745,x5741),f881(x5743,x5744,x5745,x5742))
% 28.33/28.23 [575]~E(x5751,x5752)+E(f307(x5751,x5753,x5754),f307(x5752,x5753,x5754))
% 28.33/28.23 [576]~E(x5761,x5762)+E(f307(x5763,x5761,x5764),f307(x5763,x5762,x5764))
% 28.33/28.23 [577]~E(x5771,x5772)+E(f307(x5773,x5774,x5771),f307(x5773,x5774,x5772))
% 28.33/28.23 [578]~E(x5781,x5782)+E(f302(x5781),f302(x5782))
% 28.33/28.23 [579]~E(x5791,x5792)+E(f577(x5791,x5793,x5794,x5795),f577(x5792,x5793,x5794,x5795))
% 28.33/28.23 [580]~E(x5801,x5802)+E(f577(x5803,x5801,x5804,x5805),f577(x5803,x5802,x5804,x5805))
% 28.33/28.23 [581]~E(x5811,x5812)+E(f577(x5813,x5814,x5811,x5815),f577(x5813,x5814,x5812,x5815))
% 28.33/28.23 [582]~E(x5821,x5822)+E(f577(x5823,x5824,x5825,x5821),f577(x5823,x5824,x5825,x5822))
% 28.33/28.23 [583]~E(x5831,x5832)+E(f59(x5831),f59(x5832))
% 28.33/28.23 [584]~E(x5841,x5842)+E(f285(x5841),f285(x5842))
% 28.33/28.23 [585]~E(x5851,x5852)+E(f78(x5851,x5853,x5854,x5855,x5856),f78(x5852,x5853,x5854,x5855,x5856))
% 28.33/28.23 [586]~E(x5861,x5862)+E(f78(x5863,x5861,x5864,x5865,x5866),f78(x5863,x5862,x5864,x5865,x5866))
% 28.33/28.23 [587]~E(x5871,x5872)+E(f78(x5873,x5874,x5871,x5875,x5876),f78(x5873,x5874,x5872,x5875,x5876))
% 28.33/28.23 [588]~E(x5881,x5882)+E(f78(x5883,x5884,x5885,x5881,x5886),f78(x5883,x5884,x5885,x5882,x5886))
% 28.33/28.23 [589]~E(x5891,x5892)+E(f78(x5893,x5894,x5895,x5896,x5891),f78(x5893,x5894,x5895,x5896,x5892))
% 28.33/28.23 [590]~E(x5901,x5902)+E(f178(x5901,x5903,x5904),f178(x5902,x5903,x5904))
% 28.33/28.23 [591]~E(x5911,x5912)+E(f178(x5913,x5911,x5914),f178(x5913,x5912,x5914))
% 28.33/28.23 [592]~E(x5921,x5922)+E(f178(x5923,x5924,x5921),f178(x5923,x5924,x5922))
% 28.33/28.23 [593]~E(x5931,x5932)+E(f283(x5931),f283(x5932))
% 28.33/28.23 [594]~E(x5941,x5942)+E(f816(x5941,x5943,x5944,x5945,x5946,x5947,x5948),f816(x5942,x5943,x5944,x5945,x5946,x5947,x5948))
% 28.33/28.23 [595]~E(x5951,x5952)+E(f816(x5953,x5951,x5954,x5955,x5956,x5957,x5958),f816(x5953,x5952,x5954,x5955,x5956,x5957,x5958))
% 28.33/28.23 [596]~E(x5961,x5962)+E(f816(x5963,x5964,x5961,x5965,x5966,x5967,x5968),f816(x5963,x5964,x5962,x5965,x5966,x5967,x5968))
% 28.33/28.23 [597]~E(x5971,x5972)+E(f816(x5973,x5974,x5975,x5971,x5976,x5977,x5978),f816(x5973,x5974,x5975,x5972,x5976,x5977,x5978))
% 28.33/28.23 [598]~E(x5981,x5982)+E(f816(x5983,x5984,x5985,x5986,x5981,x5987,x5988),f816(x5983,x5984,x5985,x5986,x5982,x5987,x5988))
% 28.33/28.23 [599]~E(x5991,x5992)+E(f816(x5993,x5994,x5995,x5996,x5997,x5991,x5998),f816(x5993,x5994,x5995,x5996,x5997,x5992,x5998))
% 28.33/28.23 [600]~E(x6001,x6002)+E(f816(x6003,x6004,x6005,x6006,x6007,x6008,x6001),f816(x6003,x6004,x6005,x6006,x6007,x6008,x6002))
% 28.33/28.23 [601]~E(x6011,x6012)+E(f537(x6011,x6013,x6014,x6015,x6016),f537(x6012,x6013,x6014,x6015,x6016))
% 28.33/28.23 [602]~E(x6021,x6022)+E(f537(x6023,x6021,x6024,x6025,x6026),f537(x6023,x6022,x6024,x6025,x6026))
% 28.33/28.23 [603]~E(x6031,x6032)+E(f537(x6033,x6034,x6031,x6035,x6036),f537(x6033,x6034,x6032,x6035,x6036))
% 28.33/28.23 [604]~E(x6041,x6042)+E(f537(x6043,x6044,x6045,x6041,x6046),f537(x6043,x6044,x6045,x6042,x6046))
% 28.33/28.23 [605]~E(x6051,x6052)+E(f537(x6053,x6054,x6055,x6056,x6051),f537(x6053,x6054,x6055,x6056,x6052))
% 28.33/28.23 [606]~E(x6061,x6062)+E(f241(x6061,x6063),f241(x6062,x6063))
% 28.33/28.23 [607]~E(x6071,x6072)+E(f241(x6073,x6071),f241(x6073,x6072))
% 28.33/28.23 [608]~E(x6081,x6082)+E(f728(x6081,x6083,x6084,x6085,x6086),f728(x6082,x6083,x6084,x6085,x6086))
% 28.33/28.23 [609]~E(x6091,x6092)+E(f728(x6093,x6091,x6094,x6095,x6096),f728(x6093,x6092,x6094,x6095,x6096))
% 28.33/28.23 [610]~E(x6101,x6102)+E(f728(x6103,x6104,x6101,x6105,x6106),f728(x6103,x6104,x6102,x6105,x6106))
% 28.33/28.23 [611]~E(x6111,x6112)+E(f728(x6113,x6114,x6115,x6111,x6116),f728(x6113,x6114,x6115,x6112,x6116))
% 28.33/28.23 [612]~E(x6121,x6122)+E(f728(x6123,x6124,x6125,x6126,x6121),f728(x6123,x6124,x6125,x6126,x6122))
% 28.33/28.23 [613]~E(x6131,x6132)+E(f380(x6131,x6133,x6134),f380(x6132,x6133,x6134))
% 28.33/28.23 [614]~E(x6141,x6142)+E(f380(x6143,x6141,x6144),f380(x6143,x6142,x6144))
% 28.33/28.23 [615]~E(x6151,x6152)+E(f380(x6153,x6154,x6151),f380(x6153,x6154,x6152))
% 28.33/28.23 [616]~E(x6161,x6162)+E(f177(x6161),f177(x6162))
% 28.33/28.23 [617]~E(x6171,x6172)+E(f775(x6171,x6173,x6174,x6175),f775(x6172,x6173,x6174,x6175))
% 28.33/28.23 [618]~E(x6181,x6182)+E(f775(x6183,x6181,x6184,x6185),f775(x6183,x6182,x6184,x6185))
% 28.33/28.23 [619]~E(x6191,x6192)+E(f775(x6193,x6194,x6191,x6195),f775(x6193,x6194,x6192,x6195))
% 28.33/28.23 [620]~E(x6201,x6202)+E(f775(x6203,x6204,x6205,x6201),f775(x6203,x6204,x6205,x6202))
% 28.33/28.23 [621]~E(x6211,x6212)+E(f413(x6211,x6213,x6214),f413(x6212,x6213,x6214))
% 28.33/28.23 [622]~E(x6221,x6222)+E(f413(x6223,x6221,x6224),f413(x6223,x6222,x6224))
% 28.33/28.23 [623]~E(x6231,x6232)+E(f413(x6233,x6234,x6231),f413(x6233,x6234,x6232))
% 28.33/28.23 [624]~E(x6241,x6242)+E(f289(x6241,x6243),f289(x6242,x6243))
% 28.33/28.23 [625]~E(x6251,x6252)+E(f289(x6253,x6251),f289(x6253,x6252))
% 28.33/28.23 [626]~E(x6261,x6262)+E(f131(x6261,x6263),f131(x6262,x6263))
% 28.33/28.23 [627]~E(x6271,x6272)+E(f131(x6273,x6271),f131(x6273,x6272))
% 28.33/28.23 [628]~E(x6281,x6282)+E(f58(x6281,x6283,x6284),f58(x6282,x6283,x6284))
% 28.33/28.23 [629]~E(x6291,x6292)+E(f58(x6293,x6291,x6294),f58(x6293,x6292,x6294))
% 28.33/28.23 [630]~E(x6301,x6302)+E(f58(x6303,x6304,x6301),f58(x6303,x6304,x6302))
% 28.33/28.23 [631]~E(x6311,x6312)+E(f808(x6311,x6313,x6314,x6315),f808(x6312,x6313,x6314,x6315))
% 28.33/28.23 [632]~E(x6321,x6322)+E(f808(x6323,x6321,x6324,x6325),f808(x6323,x6322,x6324,x6325))
% 28.33/28.23 [633]~E(x6331,x6332)+E(f808(x6333,x6334,x6331,x6335),f808(x6333,x6334,x6332,x6335))
% 28.33/28.23 [634]~E(x6341,x6342)+E(f808(x6343,x6344,x6345,x6341),f808(x6343,x6344,x6345,x6342))
% 28.33/28.23 [635]~E(x6351,x6352)+E(f49(x6351,x6353),f49(x6352,x6353))
% 28.33/28.23 [636]~E(x6361,x6362)+E(f49(x6363,x6361),f49(x6363,x6362))
% 28.33/28.23 [637]~E(x6371,x6372)+E(f863(x6371,x6373,x6374),f863(x6372,x6373,x6374))
% 28.33/28.23 [638]~E(x6381,x6382)+E(f863(x6383,x6381,x6384),f863(x6383,x6382,x6384))
% 28.33/28.23 [639]~E(x6391,x6392)+E(f863(x6393,x6394,x6391),f863(x6393,x6394,x6392))
% 28.33/28.23 [640]~E(x6401,x6402)+E(f128(x6401,x6403),f128(x6402,x6403))
% 28.33/28.23 [641]~E(x6411,x6412)+E(f128(x6413,x6411),f128(x6413,x6412))
% 28.33/28.23 [642]~E(x6421,x6422)+E(f372(x6421,x6423),f372(x6422,x6423))
% 28.33/28.23 [643]~E(x6431,x6432)+E(f372(x6433,x6431),f372(x6433,x6432))
% 28.33/28.23 [644]~E(x6441,x6442)+E(f132(x6441),f132(x6442))
% 28.33/28.23 [645]~E(x6451,x6452)+E(f880(x6451,x6453,x6454,x6455),f880(x6452,x6453,x6454,x6455))
% 28.33/28.23 [646]~E(x6461,x6462)+E(f880(x6463,x6461,x6464,x6465),f880(x6463,x6462,x6464,x6465))
% 28.33/28.23 [647]~E(x6471,x6472)+E(f880(x6473,x6474,x6471,x6475),f880(x6473,x6474,x6472,x6475))
% 28.33/28.23 [648]~E(x6481,x6482)+E(f880(x6483,x6484,x6485,x6481),f880(x6483,x6484,x6485,x6482))
% 28.33/28.23 [649]~E(x6491,x6492)+E(f681(x6491,x6493,x6494,x6495,x6496,x6497,x6498,x6499),f681(x6492,x6493,x6494,x6495,x6496,x6497,x6498,x6499))
% 28.33/28.23 [650]~E(x6501,x6502)+E(f681(x6503,x6501,x6504,x6505,x6506,x6507,x6508,x6509),f681(x6503,x6502,x6504,x6505,x6506,x6507,x6508,x6509))
% 28.33/28.23 [651]~E(x6511,x6512)+E(f681(x6513,x6514,x6511,x6515,x6516,x6517,x6518,x6519),f681(x6513,x6514,x6512,x6515,x6516,x6517,x6518,x6519))
% 28.33/28.23 [652]~E(x6521,x6522)+E(f681(x6523,x6524,x6525,x6521,x6526,x6527,x6528,x6529),f681(x6523,x6524,x6525,x6522,x6526,x6527,x6528,x6529))
% 28.33/28.23 [653]~E(x6531,x6532)+E(f681(x6533,x6534,x6535,x6536,x6531,x6537,x6538,x6539),f681(x6533,x6534,x6535,x6536,x6532,x6537,x6538,x6539))
% 28.33/28.23 [654]~E(x6541,x6542)+E(f681(x6543,x6544,x6545,x6546,x6547,x6541,x6548,x6549),f681(x6543,x6544,x6545,x6546,x6547,x6542,x6548,x6549))
% 28.33/28.23 [655]~E(x6551,x6552)+E(f681(x6553,x6554,x6555,x6556,x6557,x6558,x6551,x6559),f681(x6553,x6554,x6555,x6556,x6557,x6558,x6552,x6559))
% 28.33/28.23 [656]~E(x6561,x6562)+E(f681(x6563,x6564,x6565,x6566,x6567,x6568,x6569,x6561),f681(x6563,x6564,x6565,x6566,x6567,x6568,x6569,x6562))
% 28.33/28.23 [657]~E(x6571,x6572)+E(f754(x6571,x6573,x6574,x6575,x6576,x6577,x6578,x6579),f754(x6572,x6573,x6574,x6575,x6576,x6577,x6578,x6579))
% 28.33/28.23 [658]~E(x6581,x6582)+E(f754(x6583,x6581,x6584,x6585,x6586,x6587,x6588,x6589),f754(x6583,x6582,x6584,x6585,x6586,x6587,x6588,x6589))
% 28.33/28.23 [659]~E(x6591,x6592)+E(f754(x6593,x6594,x6591,x6595,x6596,x6597,x6598,x6599),f754(x6593,x6594,x6592,x6595,x6596,x6597,x6598,x6599))
% 28.33/28.23 [660]~E(x6601,x6602)+E(f754(x6603,x6604,x6605,x6601,x6606,x6607,x6608,x6609),f754(x6603,x6604,x6605,x6602,x6606,x6607,x6608,x6609))
% 28.33/28.23 [661]~E(x6611,x6612)+E(f754(x6613,x6614,x6615,x6616,x6611,x6617,x6618,x6619),f754(x6613,x6614,x6615,x6616,x6612,x6617,x6618,x6619))
% 28.33/28.23 [662]~E(x6621,x6622)+E(f754(x6623,x6624,x6625,x6626,x6627,x6621,x6628,x6629),f754(x6623,x6624,x6625,x6626,x6627,x6622,x6628,x6629))
% 28.33/28.23 [663]~E(x6631,x6632)+E(f754(x6633,x6634,x6635,x6636,x6637,x6638,x6631,x6639),f754(x6633,x6634,x6635,x6636,x6637,x6638,x6632,x6639))
% 28.33/28.23 [664]~E(x6641,x6642)+E(f754(x6643,x6644,x6645,x6646,x6647,x6648,x6649,x6641),f754(x6643,x6644,x6645,x6646,x6647,x6648,x6649,x6642))
% 28.33/28.23 [665]~E(x6651,x6652)+E(f559(x6651,x6653,x6654,x6655,x6656,x6657),f559(x6652,x6653,x6654,x6655,x6656,x6657))
% 28.33/28.23 [666]~E(x6661,x6662)+E(f559(x6663,x6661,x6664,x6665,x6666,x6667),f559(x6663,x6662,x6664,x6665,x6666,x6667))
% 28.33/28.23 [667]~E(x6671,x6672)+E(f559(x6673,x6674,x6671,x6675,x6676,x6677),f559(x6673,x6674,x6672,x6675,x6676,x6677))
% 28.33/28.23 [668]~E(x6681,x6682)+E(f559(x6683,x6684,x6685,x6681,x6686,x6687),f559(x6683,x6684,x6685,x6682,x6686,x6687))
% 28.33/28.23 [669]~E(x6691,x6692)+E(f559(x6693,x6694,x6695,x6696,x6691,x6697),f559(x6693,x6694,x6695,x6696,x6692,x6697))
% 28.33/28.23 [670]~E(x6701,x6702)+E(f559(x6703,x6704,x6705,x6706,x6707,x6701),f559(x6703,x6704,x6705,x6706,x6707,x6702))
% 28.33/28.23 [671]~E(x6711,x6712)+E(f852(x6711,x6713,x6714),f852(x6712,x6713,x6714))
% 28.33/28.23 [672]~E(x6721,x6722)+E(f852(x6723,x6721,x6724),f852(x6723,x6722,x6724))
% 28.33/28.23 [673]~E(x6731,x6732)+E(f852(x6733,x6734,x6731),f852(x6733,x6734,x6732))
% 28.33/28.23 [674]~E(x6741,x6742)+E(f306(x6741,x6743,x6744),f306(x6742,x6743,x6744))
% 28.33/28.23 [675]~E(x6751,x6752)+E(f306(x6753,x6751,x6754),f306(x6753,x6752,x6754))
% 28.33/28.23 [676]~E(x6761,x6762)+E(f306(x6763,x6764,x6761),f306(x6763,x6764,x6762))
% 28.33/28.23 [677]~E(x6771,x6772)+E(f242(x6771,x6773),f242(x6772,x6773))
% 28.33/28.23 [678]~E(x6781,x6782)+E(f242(x6783,x6781),f242(x6783,x6782))
% 28.33/28.23 [679]~E(x6791,x6792)+E(f611(x6791,x6793,x6794),f611(x6792,x6793,x6794))
% 28.33/28.23 [680]~E(x6801,x6802)+E(f611(x6803,x6801,x6804),f611(x6803,x6802,x6804))
% 28.33/28.23 [681]~E(x6811,x6812)+E(f611(x6813,x6814,x6811),f611(x6813,x6814,x6812))
% 28.33/28.23 [682]~E(x6821,x6822)+E(f340(x6821,x6823,x6824,x6825,x6826),f340(x6822,x6823,x6824,x6825,x6826))
% 28.33/28.23 [683]~E(x6831,x6832)+E(f340(x6833,x6831,x6834,x6835,x6836),f340(x6833,x6832,x6834,x6835,x6836))
% 28.33/28.23 [684]~E(x6841,x6842)+E(f340(x6843,x6844,x6841,x6845,x6846),f340(x6843,x6844,x6842,x6845,x6846))
% 28.33/28.23 [685]~E(x6851,x6852)+E(f340(x6853,x6854,x6855,x6851,x6856),f340(x6853,x6854,x6855,x6852,x6856))
% 28.33/28.23 [686]~E(x6861,x6862)+E(f340(x6863,x6864,x6865,x6866,x6861),f340(x6863,x6864,x6865,x6866,x6862))
% 28.33/28.23 [687]~E(x6871,x6872)+E(f394(x6871,x6873,x6874,x6875,x6876),f394(x6872,x6873,x6874,x6875,x6876))
% 28.33/28.23 [688]~E(x6881,x6882)+E(f394(x6883,x6881,x6884,x6885,x6886),f394(x6883,x6882,x6884,x6885,x6886))
% 28.33/28.23 [689]~E(x6891,x6892)+E(f394(x6893,x6894,x6891,x6895,x6896),f394(x6893,x6894,x6892,x6895,x6896))
% 28.33/28.23 [690]~E(x6901,x6902)+E(f394(x6903,x6904,x6905,x6901,x6906),f394(x6903,x6904,x6905,x6902,x6906))
% 28.33/28.23 [691]~E(x6911,x6912)+E(f394(x6913,x6914,x6915,x6916,x6911),f394(x6913,x6914,x6915,x6916,x6912))
% 28.33/28.23 [692]~E(x6921,x6922)+E(f857(x6921,x6923),f857(x6922,x6923))
% 28.33/28.23 [693]~E(x6931,x6932)+E(f857(x6933,x6931),f857(x6933,x6932))
% 28.33/28.23 [694]~E(x6941,x6942)+E(f900(x6941,x6943,x6944,x6945,x6946),f900(x6942,x6943,x6944,x6945,x6946))
% 28.33/28.23 [695]~E(x6951,x6952)+E(f900(x6953,x6951,x6954,x6955,x6956),f900(x6953,x6952,x6954,x6955,x6956))
% 28.33/28.23 [696]~E(x6961,x6962)+E(f900(x6963,x6964,x6961,x6965,x6966),f900(x6963,x6964,x6962,x6965,x6966))
% 28.33/28.23 [697]~E(x6971,x6972)+E(f900(x6973,x6974,x6975,x6971,x6976),f900(x6973,x6974,x6975,x6972,x6976))
% 28.33/28.23 [698]~E(x6981,x6982)+E(f900(x6983,x6984,x6985,x6986,x6981),f900(x6983,x6984,x6985,x6986,x6982))
% 28.33/28.23 [699]~E(x6991,x6992)+E(f897(x6991,x6993,x6994,x6995),f897(x6992,x6993,x6994,x6995))
% 28.33/28.23 [700]~E(x7001,x7002)+E(f897(x7003,x7001,x7004,x7005),f897(x7003,x7002,x7004,x7005))
% 28.33/28.23 [701]~E(x7011,x7012)+E(f897(x7013,x7014,x7011,x7015),f897(x7013,x7014,x7012,x7015))
% 28.33/28.23 [702]~E(x7021,x7022)+E(f897(x7023,x7024,x7025,x7021),f897(x7023,x7024,x7025,x7022))
% 28.33/28.23 [703]~E(x7031,x7032)+E(f309(x7031),f309(x7032))
% 28.33/28.23 [704]~E(x7041,x7042)+E(f449(x7041,x7043),f449(x7042,x7043))
% 28.33/28.23 [705]~E(x7051,x7052)+E(f449(x7053,x7051),f449(x7053,x7052))
% 28.33/28.23 [706]~E(x7061,x7062)+E(f582(x7061,x7063,x7064,x7065),f582(x7062,x7063,x7064,x7065))
% 28.33/28.23 [707]~E(x7071,x7072)+E(f582(x7073,x7071,x7074,x7075),f582(x7073,x7072,x7074,x7075))
% 28.33/28.23 [708]~E(x7081,x7082)+E(f582(x7083,x7084,x7081,x7085),f582(x7083,x7084,x7082,x7085))
% 28.33/28.23 [709]~E(x7091,x7092)+E(f582(x7093,x7094,x7095,x7091),f582(x7093,x7094,x7095,x7092))
% 28.33/28.23 [710]~E(x7101,x7102)+E(f697(x7101,x7103,x7104),f697(x7102,x7103,x7104))
% 28.33/28.23 [711]~E(x7111,x7112)+E(f697(x7113,x7111,x7114),f697(x7113,x7112,x7114))
% 28.33/28.23 [712]~E(x7121,x7122)+E(f697(x7123,x7124,x7121),f697(x7123,x7124,x7122))
% 28.33/28.23 [713]~E(x7131,x7132)+E(f738(x7131,x7133,x7134,x7135),f738(x7132,x7133,x7134,x7135))
% 28.33/28.23 [714]~E(x7141,x7142)+E(f738(x7143,x7141,x7144,x7145),f738(x7143,x7142,x7144,x7145))
% 28.33/28.23 [715]~E(x7151,x7152)+E(f738(x7153,x7154,x7151,x7155),f738(x7153,x7154,x7152,x7155))
% 28.33/28.23 [716]~E(x7161,x7162)+E(f738(x7163,x7164,x7165,x7161),f738(x7163,x7164,x7165,x7162))
% 28.33/28.23 [717]~E(x7171,x7172)+E(f762(x7171,x7173,x7174),f762(x7172,x7173,x7174))
% 28.33/28.23 [718]~E(x7181,x7182)+E(f762(x7183,x7181,x7184),f762(x7183,x7182,x7184))
% 28.33/28.23 [719]~E(x7191,x7192)+E(f762(x7193,x7194,x7191),f762(x7193,x7194,x7192))
% 28.33/28.23 [720]~E(x7201,x7202)+E(f263(x7201,x7203,x7204,x7205),f263(x7202,x7203,x7204,x7205))
% 28.33/28.23 [721]~E(x7211,x7212)+E(f263(x7213,x7211,x7214,x7215),f263(x7213,x7212,x7214,x7215))
% 28.33/28.23 [722]~E(x7221,x7222)+E(f263(x7223,x7224,x7221,x7225),f263(x7223,x7224,x7222,x7225))
% 28.33/28.23 [723]~E(x7231,x7232)+E(f263(x7233,x7234,x7235,x7231),f263(x7233,x7234,x7235,x7232))
% 28.33/28.23 [724]~E(x7241,x7242)+E(f842(x7241,x7243,x7244,x7245,x7246,x7247),f842(x7242,x7243,x7244,x7245,x7246,x7247))
% 28.33/28.23 [725]~E(x7251,x7252)+E(f842(x7253,x7251,x7254,x7255,x7256,x7257),f842(x7253,x7252,x7254,x7255,x7256,x7257))
% 28.33/28.23 [726]~E(x7261,x7262)+E(f842(x7263,x7264,x7261,x7265,x7266,x7267),f842(x7263,x7264,x7262,x7265,x7266,x7267))
% 28.33/28.23 [727]~E(x7271,x7272)+E(f842(x7273,x7274,x7275,x7271,x7276,x7277),f842(x7273,x7274,x7275,x7272,x7276,x7277))
% 28.33/28.23 [728]~E(x7281,x7282)+E(f842(x7283,x7284,x7285,x7286,x7281,x7287),f842(x7283,x7284,x7285,x7286,x7282,x7287))
% 28.33/28.23 [729]~E(x7291,x7292)+E(f842(x7293,x7294,x7295,x7296,x7297,x7291),f842(x7293,x7294,x7295,x7296,x7297,x7292))
% 28.33/28.23 [730]~E(x7301,x7302)+E(f890(x7301,x7303,x7304),f890(x7302,x7303,x7304))
% 28.33/28.23 [731]~E(x7311,x7312)+E(f890(x7313,x7311,x7314),f890(x7313,x7312,x7314))
% 28.33/28.23 [732]~E(x7321,x7322)+E(f890(x7323,x7324,x7321),f890(x7323,x7324,x7322))
% 28.33/28.23 [733]~E(x7331,x7332)+E(f740(x7331,x7333,x7334,x7335),f740(x7332,x7333,x7334,x7335))
% 28.33/28.23 [734]~E(x7341,x7342)+E(f740(x7343,x7341,x7344,x7345),f740(x7343,x7342,x7344,x7345))
% 28.33/28.23 [735]~E(x7351,x7352)+E(f740(x7353,x7354,x7351,x7355),f740(x7353,x7354,x7352,x7355))
% 28.33/28.23 [736]~E(x7361,x7362)+E(f740(x7363,x7364,x7365,x7361),f740(x7363,x7364,x7365,x7362))
% 28.33/28.23 [737]~E(x7371,x7372)+E(f134(x7371,x7373),f134(x7372,x7373))
% 28.33/28.23 [738]~E(x7381,x7382)+E(f134(x7383,x7381),f134(x7383,x7382))
% 28.33/28.23 [739]~E(x7391,x7392)+E(f176(x7391,x7393,x7394),f176(x7392,x7393,x7394))
% 28.33/28.23 [740]~E(x7401,x7402)+E(f176(x7403,x7401,x7404),f176(x7403,x7402,x7404))
% 28.33/28.23 [741]~E(x7411,x7412)+E(f176(x7413,x7414,x7411),f176(x7413,x7414,x7412))
% 28.33/28.23 [742]~E(x7421,x7422)+E(f186(x7421,x7423,x7424),f186(x7422,x7423,x7424))
% 28.33/28.23 [743]~E(x7431,x7432)+E(f186(x7433,x7431,x7434),f186(x7433,x7432,x7434))
% 28.33/28.23 [744]~E(x7441,x7442)+E(f186(x7443,x7444,x7441),f186(x7443,x7444,x7442))
% 28.33/28.23 [745]~E(x7451,x7452)+E(f579(x7451,x7453,x7454),f579(x7452,x7453,x7454))
% 28.33/28.23 [746]~E(x7461,x7462)+E(f579(x7463,x7461,x7464),f579(x7463,x7462,x7464))
% 28.33/28.23 [747]~E(x7471,x7472)+E(f579(x7473,x7474,x7471),f579(x7473,x7474,x7472))
% 28.33/28.23 [748]~E(x7481,x7482)+E(f601(x7481,x7483,x7484),f601(x7482,x7483,x7484))
% 28.33/28.23 [749]~E(x7491,x7492)+E(f601(x7493,x7491,x7494),f601(x7493,x7492,x7494))
% 28.33/28.23 [750]~E(x7501,x7502)+E(f601(x7503,x7504,x7501),f601(x7503,x7504,x7502))
% 28.33/28.23 [751]~E(x7511,x7512)+E(f718(x7511,x7513,x7514,x7515,x7516),f718(x7512,x7513,x7514,x7515,x7516))
% 28.33/28.23 [752]~E(x7521,x7522)+E(f718(x7523,x7521,x7524,x7525,x7526),f718(x7523,x7522,x7524,x7525,x7526))
% 28.33/28.23 [753]~E(x7531,x7532)+E(f718(x7533,x7534,x7531,x7535,x7536),f718(x7533,x7534,x7532,x7535,x7536))
% 28.33/28.23 [754]~E(x7541,x7542)+E(f718(x7543,x7544,x7545,x7541,x7546),f718(x7543,x7544,x7545,x7542,x7546))
% 28.33/28.23 [755]~E(x7551,x7552)+E(f718(x7553,x7554,x7555,x7556,x7551),f718(x7553,x7554,x7555,x7556,x7552))
% 28.33/28.23 [756]~E(x7561,x7562)+E(f51(x7561,x7563),f51(x7562,x7563))
% 28.33/28.23 [757]~E(x7571,x7572)+E(f51(x7573,x7571),f51(x7573,x7572))
% 28.33/28.23 [758]~E(x7581,x7582)+E(f341(x7581,x7583,x7584,x7585,x7586),f341(x7582,x7583,x7584,x7585,x7586))
% 28.33/28.23 [759]~E(x7591,x7592)+E(f341(x7593,x7591,x7594,x7595,x7596),f341(x7593,x7592,x7594,x7595,x7596))
% 28.33/28.23 [760]~E(x7601,x7602)+E(f341(x7603,x7604,x7601,x7605,x7606),f341(x7603,x7604,x7602,x7605,x7606))
% 28.33/28.23 [761]~E(x7611,x7612)+E(f341(x7613,x7614,x7615,x7611,x7616),f341(x7613,x7614,x7615,x7612,x7616))
% 28.33/28.23 [762]~E(x7621,x7622)+E(f341(x7623,x7624,x7625,x7626,x7621),f341(x7623,x7624,x7625,x7626,x7622))
% 28.33/28.23 [763]~E(x7631,x7632)+E(f777(x7631,x7633,x7634),f777(x7632,x7633,x7634))
% 28.33/28.23 [764]~E(x7641,x7642)+E(f777(x7643,x7641,x7644),f777(x7643,x7642,x7644))
% 28.33/28.23 [765]~E(x7651,x7652)+E(f777(x7653,x7654,x7651),f777(x7653,x7654,x7652))
% 28.33/28.23 [766]~E(x7661,x7662)+E(f205(x7661),f205(x7662))
% 28.33/28.23 [767]~E(x7671,x7672)+E(f546(x7671,x7673),f546(x7672,x7673))
% 28.33/28.23 [768]~E(x7681,x7682)+E(f546(x7683,x7681),f546(x7683,x7682))
% 28.33/28.23 [769]~E(x7691,x7692)+E(f825(x7691,x7693,x7694,x7695,x7696),f825(x7692,x7693,x7694,x7695,x7696))
% 28.33/28.23 [770]~E(x7701,x7702)+E(f825(x7703,x7701,x7704,x7705,x7706),f825(x7703,x7702,x7704,x7705,x7706))
% 28.33/28.23 [771]~E(x7711,x7712)+E(f825(x7713,x7714,x7711,x7715,x7716),f825(x7713,x7714,x7712,x7715,x7716))
% 28.33/28.23 [772]~E(x7721,x7722)+E(f825(x7723,x7724,x7725,x7721,x7726),f825(x7723,x7724,x7725,x7722,x7726))
% 28.33/28.23 [773]~E(x7731,x7732)+E(f825(x7733,x7734,x7735,x7736,x7731),f825(x7733,x7734,x7735,x7736,x7732))
% 28.33/28.23 [774]~E(x7741,x7742)+E(f98(x7741,x7743,x7744,x7745),f98(x7742,x7743,x7744,x7745))
% 28.33/28.23 [775]~E(x7751,x7752)+E(f98(x7753,x7751,x7754,x7755),f98(x7753,x7752,x7754,x7755))
% 28.33/28.23 [776]~E(x7761,x7762)+E(f98(x7763,x7764,x7761,x7765),f98(x7763,x7764,x7762,x7765))
% 28.33/28.23 [777]~E(x7771,x7772)+E(f98(x7773,x7774,x7775,x7771),f98(x7773,x7774,x7775,x7772))
% 28.33/28.23 [778]~E(x7781,x7782)+E(f875(x7781,x7783,x7784),f875(x7782,x7783,x7784))
% 28.33/28.23 [779]~E(x7791,x7792)+E(f875(x7793,x7791,x7794),f875(x7793,x7792,x7794))
% 28.33/28.23 [780]~E(x7801,x7802)+E(f875(x7803,x7804,x7801),f875(x7803,x7804,x7802))
% 28.33/28.23 [781]~E(x7811,x7812)+E(f757(x7811,x7813),f757(x7812,x7813))
% 28.33/28.23 [782]~E(x7821,x7822)+E(f757(x7823,x7821),f757(x7823,x7822))
% 28.33/28.23 [783]~E(x7831,x7832)+E(f296(x7831,x7833,x7834),f296(x7832,x7833,x7834))
% 28.33/28.23 [784]~E(x7841,x7842)+E(f296(x7843,x7841,x7844),f296(x7843,x7842,x7844))
% 28.33/28.23 [785]~E(x7851,x7852)+E(f296(x7853,x7854,x7851),f296(x7853,x7854,x7852))
% 28.33/28.23 [786]~E(x7861,x7862)+E(f163(x7861,x7863),f163(x7862,x7863))
% 28.33/28.23 [787]~E(x7871,x7872)+E(f163(x7873,x7871),f163(x7873,x7872))
% 28.33/28.23 [788]~E(x7881,x7882)+E(f557(x7881,x7883,x7884,x7885),f557(x7882,x7883,x7884,x7885))
% 28.33/28.23 [789]~E(x7891,x7892)+E(f557(x7893,x7891,x7894,x7895),f557(x7893,x7892,x7894,x7895))
% 28.33/28.23 [790]~E(x7901,x7902)+E(f557(x7903,x7904,x7901,x7905),f557(x7903,x7904,x7902,x7905))
% 28.33/28.23 [791]~E(x7911,x7912)+E(f557(x7913,x7914,x7915,x7911),f557(x7913,x7914,x7915,x7912))
% 28.33/28.23 [792]~E(x7921,x7922)+E(f811(x7921,x7923,x7924),f811(x7922,x7923,x7924))
% 28.33/28.23 [793]~E(x7931,x7932)+E(f811(x7933,x7931,x7934),f811(x7933,x7932,x7934))
% 28.33/28.23 [794]~E(x7941,x7942)+E(f811(x7943,x7944,x7941),f811(x7943,x7944,x7942))
% 28.33/28.23 [795]~E(x7951,x7952)+E(f335(x7951,x7953,x7954,x7955),f335(x7952,x7953,x7954,x7955))
% 28.33/28.23 [796]~E(x7961,x7962)+E(f335(x7963,x7961,x7964,x7965),f335(x7963,x7962,x7964,x7965))
% 28.33/28.23 [797]~E(x7971,x7972)+E(f335(x7973,x7974,x7971,x7975),f335(x7973,x7974,x7972,x7975))
% 28.33/28.23 [798]~E(x7981,x7982)+E(f335(x7983,x7984,x7985,x7981),f335(x7983,x7984,x7985,x7982))
% 28.33/28.23 [799]~E(x7991,x7992)+E(f65(x7991,x7993,x7994),f65(x7992,x7993,x7994))
% 28.33/28.23 [800]~E(x8001,x8002)+E(f65(x8003,x8001,x8004),f65(x8003,x8002,x8004))
% 28.33/28.23 [801]~E(x8011,x8012)+E(f65(x8013,x8014,x8011),f65(x8013,x8014,x8012))
% 28.33/28.23 [802]~E(x8021,x8022)+E(f218(x8021,x8023),f218(x8022,x8023))
% 28.33/28.23 [803]~E(x8031,x8032)+E(f218(x8033,x8031),f218(x8033,x8032))
% 28.33/28.23 [804]~E(x8041,x8042)+E(f50(x8041,x8043),f50(x8042,x8043))
% 28.33/28.23 [805]~E(x8051,x8052)+E(f50(x8053,x8051),f50(x8053,x8052))
% 28.33/28.23 [806]~E(x8061,x8062)+E(f133(x8061,x8063,x8064,x8065),f133(x8062,x8063,x8064,x8065))
% 28.33/28.23 [807]~E(x8071,x8072)+E(f133(x8073,x8071,x8074,x8075),f133(x8073,x8072,x8074,x8075))
% 28.33/28.23 [808]~E(x8081,x8082)+E(f133(x8083,x8084,x8081,x8085),f133(x8083,x8084,x8082,x8085))
% 28.33/28.23 [809]~E(x8091,x8092)+E(f133(x8093,x8094,x8095,x8091),f133(x8093,x8094,x8095,x8092))
% 28.33/28.23 [810]~E(x8101,x8102)+E(f351(x8101,x8103,x8104),f351(x8102,x8103,x8104))
% 28.33/28.23 [811]~E(x8111,x8112)+E(f351(x8113,x8111,x8114),f351(x8113,x8112,x8114))
% 28.33/28.23 [812]~E(x8121,x8122)+E(f351(x8123,x8124,x8121),f351(x8123,x8124,x8122))
% 28.33/28.23 [813]~E(x8131,x8132)+E(f690(x8131,x8133),f690(x8132,x8133))
% 28.33/28.23 [814]~E(x8141,x8142)+E(f690(x8143,x8141),f690(x8143,x8142))
% 28.33/28.23 [815]~E(x8151,x8152)+E(f541(x8151,x8153,x8154),f541(x8152,x8153,x8154))
% 28.33/28.23 [816]~E(x8161,x8162)+E(f541(x8163,x8161,x8164),f541(x8163,x8162,x8164))
% 28.33/28.23 [817]~E(x8171,x8172)+E(f541(x8173,x8174,x8171),f541(x8173,x8174,x8172))
% 28.33/28.23 [818]~E(x8181,x8182)+E(f317(x8181,x8183),f317(x8182,x8183))
% 28.33/28.23 [819]~E(x8191,x8192)+E(f317(x8193,x8191),f317(x8193,x8192))
% 28.33/28.23 [820]~E(x8201,x8202)+E(f454(x8201,x8203),f454(x8202,x8203))
% 28.33/28.23 [821]~E(x8211,x8212)+E(f454(x8213,x8211),f454(x8213,x8212))
% 28.33/28.23 [822]~E(x8221,x8222)+E(f729(x8221,x8223,x8224,x8225,x8226),f729(x8222,x8223,x8224,x8225,x8226))
% 28.33/28.23 [823]~E(x8231,x8232)+E(f729(x8233,x8231,x8234,x8235,x8236),f729(x8233,x8232,x8234,x8235,x8236))
% 28.33/28.23 [824]~E(x8241,x8242)+E(f729(x8243,x8244,x8241,x8245,x8246),f729(x8243,x8244,x8242,x8245,x8246))
% 28.33/28.23 [825]~E(x8251,x8252)+E(f729(x8253,x8254,x8255,x8251,x8256),f729(x8253,x8254,x8255,x8252,x8256))
% 28.33/28.23 [826]~E(x8261,x8262)+E(f729(x8263,x8264,x8265,x8266,x8261),f729(x8263,x8264,x8265,x8266,x8262))
% 28.33/28.23 [827]~E(x8271,x8272)+E(f871(x8271,x8273,x8274),f871(x8272,x8273,x8274))
% 28.33/28.23 [828]~E(x8281,x8282)+E(f871(x8283,x8281,x8284),f871(x8283,x8282,x8284))
% 28.33/28.23 [829]~E(x8291,x8292)+E(f871(x8293,x8294,x8291),f871(x8293,x8294,x8292))
% 28.33/28.23 [830]~E(x8301,x8302)+E(f807(x8301,x8303,x8304,x8305),f807(x8302,x8303,x8304,x8305))
% 28.33/28.23 [831]~E(x8311,x8312)+E(f807(x8313,x8311,x8314,x8315),f807(x8313,x8312,x8314,x8315))
% 28.33/28.23 [832]~E(x8321,x8322)+E(f807(x8323,x8324,x8321,x8325),f807(x8323,x8324,x8322,x8325))
% 28.33/28.23 [833]~E(x8331,x8332)+E(f807(x8333,x8334,x8335,x8331),f807(x8333,x8334,x8335,x8332))
% 28.33/28.23 [834]~E(x8341,x8342)+E(f636(x8341,x8343,x8344),f636(x8342,x8343,x8344))
% 28.33/28.23 [835]~E(x8351,x8352)+E(f636(x8353,x8351,x8354),f636(x8353,x8352,x8354))
% 28.33/28.23 [836]~E(x8361,x8362)+E(f636(x8363,x8364,x8361),f636(x8363,x8364,x8362))
% 28.33/28.23 [837]~E(x8371,x8372)+E(f817(x8371,x8373,x8374,x8375,x8376,x8377,x8378),f817(x8372,x8373,x8374,x8375,x8376,x8377,x8378))
% 28.33/28.23 [838]~E(x8381,x8382)+E(f817(x8383,x8381,x8384,x8385,x8386,x8387,x8388),f817(x8383,x8382,x8384,x8385,x8386,x8387,x8388))
% 28.33/28.23 [839]~E(x8391,x8392)+E(f817(x8393,x8394,x8391,x8395,x8396,x8397,x8398),f817(x8393,x8394,x8392,x8395,x8396,x8397,x8398))
% 28.33/28.23 [840]~E(x8401,x8402)+E(f817(x8403,x8404,x8405,x8401,x8406,x8407,x8408),f817(x8403,x8404,x8405,x8402,x8406,x8407,x8408))
% 28.33/28.23 [841]~E(x8411,x8412)+E(f817(x8413,x8414,x8415,x8416,x8411,x8417,x8418),f817(x8413,x8414,x8415,x8416,x8412,x8417,x8418))
% 28.33/28.23 [842]~E(x8421,x8422)+E(f817(x8423,x8424,x8425,x8426,x8427,x8421,x8428),f817(x8423,x8424,x8425,x8426,x8427,x8422,x8428))
% 28.33/28.23 [843]~E(x8431,x8432)+E(f817(x8433,x8434,x8435,x8436,x8437,x8438,x8431),f817(x8433,x8434,x8435,x8436,x8437,x8438,x8432))
% 28.33/28.23 [844]~E(x8441,x8442)+E(f314(x8441,x8443,x8444,x8445),f314(x8442,x8443,x8444,x8445))
% 28.33/28.23 [845]~E(x8451,x8452)+E(f314(x8453,x8451,x8454,x8455),f314(x8453,x8452,x8454,x8455))
% 28.33/28.23 [846]~E(x8461,x8462)+E(f314(x8463,x8464,x8461,x8465),f314(x8463,x8464,x8462,x8465))
% 28.33/28.23 [847]~E(x8471,x8472)+E(f314(x8473,x8474,x8475,x8471),f314(x8473,x8474,x8475,x8472))
% 28.33/28.23 [848]~E(x8481,x8482)+E(f605(x8481,x8483,x8484,x8485),f605(x8482,x8483,x8484,x8485))
% 28.33/28.23 [849]~E(x8491,x8492)+E(f605(x8493,x8491,x8494,x8495),f605(x8493,x8492,x8494,x8495))
% 28.33/28.23 [850]~E(x8501,x8502)+E(f605(x8503,x8504,x8501,x8505),f605(x8503,x8504,x8502,x8505))
% 28.33/28.23 [851]~E(x8511,x8512)+E(f605(x8513,x8514,x8515,x8511),f605(x8513,x8514,x8515,x8512))
% 28.33/28.23 [852]~E(x8521,x8522)+E(f563(x8521,x8523,x8524,x8525,x8526),f563(x8522,x8523,x8524,x8525,x8526))
% 28.33/28.23 [853]~E(x8531,x8532)+E(f563(x8533,x8531,x8534,x8535,x8536),f563(x8533,x8532,x8534,x8535,x8536))
% 28.33/28.23 [854]~E(x8541,x8542)+E(f563(x8543,x8544,x8541,x8545,x8546),f563(x8543,x8544,x8542,x8545,x8546))
% 28.33/28.23 [855]~E(x8551,x8552)+E(f563(x8553,x8554,x8555,x8551,x8556),f563(x8553,x8554,x8555,x8552,x8556))
% 28.33/28.23 [856]~E(x8561,x8562)+E(f563(x8563,x8564,x8565,x8566,x8561),f563(x8563,x8564,x8565,x8566,x8562))
% 28.33/28.23 [857]~E(x8571,x8572)+E(f434(x8571,x8573),f434(x8572,x8573))
% 28.33/28.23 [858]~E(x8581,x8582)+E(f434(x8583,x8581),f434(x8583,x8582))
% 28.33/28.23 [859]~E(x8591,x8592)+E(f585(x8591,x8593,x8594),f585(x8592,x8593,x8594))
% 28.33/28.23 [860]~E(x8601,x8602)+E(f585(x8603,x8601,x8604),f585(x8603,x8602,x8604))
% 28.33/28.23 [861]~E(x8611,x8612)+E(f585(x8613,x8614,x8611),f585(x8613,x8614,x8612))
% 28.33/28.23 [862]~E(x8621,x8622)+E(f455(x8621,x8623),f455(x8622,x8623))
% 28.33/28.23 [863]~E(x8631,x8632)+E(f455(x8633,x8631),f455(x8633,x8632))
% 28.33/28.23 [864]~E(x8641,x8642)+E(f805(x8641,x8643,x8644,x8645),f805(x8642,x8643,x8644,x8645))
% 28.33/28.23 [865]~E(x8651,x8652)+E(f805(x8653,x8651,x8654,x8655),f805(x8653,x8652,x8654,x8655))
% 28.33/28.23 [866]~E(x8661,x8662)+E(f805(x8663,x8664,x8661,x8665),f805(x8663,x8664,x8662,x8665))
% 28.33/28.23 [867]~E(x8671,x8672)+E(f805(x8673,x8674,x8675,x8671),f805(x8673,x8674,x8675,x8672))
% 28.33/28.23 [868]~E(x8681,x8682)+E(f222(x8681,x8683),f222(x8682,x8683))
% 28.33/28.23 [869]~E(x8691,x8692)+E(f222(x8693,x8691),f222(x8693,x8692))
% 28.33/28.23 [870]~E(x8701,x8702)+E(f492(x8701,x8703,x8704),f492(x8702,x8703,x8704))
% 28.33/28.23 [871]~E(x8711,x8712)+E(f492(x8713,x8711,x8714),f492(x8713,x8712,x8714))
% 28.33/28.23 [872]~E(x8721,x8722)+E(f492(x8723,x8724,x8721),f492(x8723,x8724,x8722))
% 28.33/28.23 [873]~E(x8731,x8732)+E(f164(x8731,x8733),f164(x8732,x8733))
% 28.33/28.23 [874]~E(x8741,x8742)+E(f164(x8743,x8741),f164(x8743,x8742))
% 28.33/28.23 [875]~E(x8751,x8752)+E(f739(x8751,x8753,x8754),f739(x8752,x8753,x8754))
% 28.33/28.23 [876]~E(x8761,x8762)+E(f739(x8763,x8761,x8764),f739(x8763,x8762,x8764))
% 28.33/28.23 [877]~E(x8771,x8772)+E(f739(x8773,x8774,x8771),f739(x8773,x8774,x8772))
% 28.33/28.23 [878]~E(x8781,x8782)+E(f677(x8781,x8783),f677(x8782,x8783))
% 28.33/28.23 [879]~E(x8791,x8792)+E(f677(x8793,x8791),f677(x8793,x8792))
% 28.33/28.23 [880]~E(x8801,x8802)+E(f834(x8801),f834(x8802))
% 28.33/28.23 [881]~E(x8811,x8812)+E(f799(x8811,x8813,x8814,x8815),f799(x8812,x8813,x8814,x8815))
% 28.33/28.23 [882]~E(x8821,x8822)+E(f799(x8823,x8821,x8824,x8825),f799(x8823,x8822,x8824,x8825))
% 28.33/28.23 [883]~E(x8831,x8832)+E(f799(x8833,x8834,x8831,x8835),f799(x8833,x8834,x8832,x8835))
% 28.33/28.23 [884]~E(x8841,x8842)+E(f799(x8843,x8844,x8845,x8841),f799(x8843,x8844,x8845,x8842))
% 28.33/28.23 [885]~E(x8851,x8852)+E(f34(x8851,x8853),f34(x8852,x8853))
% 28.33/28.23 [886]~E(x8861,x8862)+E(f34(x8863,x8861),f34(x8863,x8862))
% 28.33/28.23 [887]~E(x8871,x8872)+E(f716(x8871,x8873,x8874),f716(x8872,x8873,x8874))
% 28.33/28.23 [888]~E(x8881,x8882)+E(f716(x8883,x8881,x8884),f716(x8883,x8882,x8884))
% 28.33/28.23 [889]~E(x8891,x8892)+E(f716(x8893,x8894,x8891),f716(x8893,x8894,x8892))
% 28.33/28.23 [890]~E(x8901,x8902)+E(f80(x8901,x8903,x8904,x8905),f80(x8902,x8903,x8904,x8905))
% 28.33/28.23 [891]~E(x8911,x8912)+E(f80(x8913,x8911,x8914,x8915),f80(x8913,x8912,x8914,x8915))
% 28.33/28.23 [892]~E(x8921,x8922)+E(f80(x8923,x8924,x8921,x8925),f80(x8923,x8924,x8922,x8925))
% 28.33/28.23 [893]~E(x8931,x8932)+E(f80(x8933,x8934,x8935,x8931),f80(x8933,x8934,x8935,x8932))
% 28.33/28.23 [894]~E(x8941,x8942)+E(f30(x8941,x8943,x8944),f30(x8942,x8943,x8944))
% 28.33/28.23 [895]~E(x8951,x8952)+E(f30(x8953,x8951,x8954),f30(x8953,x8952,x8954))
% 28.33/28.23 [896]~E(x8961,x8962)+E(f30(x8963,x8964,x8961),f30(x8963,x8964,x8962))
% 28.33/28.23 [897]~E(x8971,x8972)+E(f384(x8971,x8973,x8974),f384(x8972,x8973,x8974))
% 28.33/28.23 [898]~E(x8981,x8982)+E(f384(x8983,x8981,x8984),f384(x8983,x8982,x8984))
% 28.33/28.23 [899]~E(x8991,x8992)+E(f384(x8993,x8994,x8991),f384(x8993,x8994,x8992))
% 28.33/28.23 [900]~E(x9001,x9002)+E(f393(x9001,x9003,x9004,x9005,x9006),f393(x9002,x9003,x9004,x9005,x9006))
% 28.33/28.23 [901]~E(x9011,x9012)+E(f393(x9013,x9011,x9014,x9015,x9016),f393(x9013,x9012,x9014,x9015,x9016))
% 28.33/28.23 [902]~E(x9021,x9022)+E(f393(x9023,x9024,x9021,x9025,x9026),f393(x9023,x9024,x9022,x9025,x9026))
% 28.33/28.23 [903]~E(x9031,x9032)+E(f393(x9033,x9034,x9035,x9031,x9036),f393(x9033,x9034,x9035,x9032,x9036))
% 28.33/28.23 [904]~E(x9041,x9042)+E(f393(x9043,x9044,x9045,x9046,x9041),f393(x9043,x9044,x9045,x9046,x9042))
% 28.33/28.23 [905]~E(x9051,x9052)+E(f516(x9051,x9053,x9054),f516(x9052,x9053,x9054))
% 28.33/28.23 [906]~E(x9061,x9062)+E(f516(x9063,x9061,x9064),f516(x9063,x9062,x9064))
% 28.33/28.23 [907]~E(x9071,x9072)+E(f516(x9073,x9074,x9071),f516(x9073,x9074,x9072))
% 28.33/28.23 [908]~E(x9081,x9082)+E(f152(x9081,x9083,x9084,x9085),f152(x9082,x9083,x9084,x9085))
% 28.33/28.23 [909]~E(x9091,x9092)+E(f152(x9093,x9091,x9094,x9095),f152(x9093,x9092,x9094,x9095))
% 28.33/28.23 [910]~E(x9101,x9102)+E(f152(x9103,x9104,x9101,x9105),f152(x9103,x9104,x9102,x9105))
% 28.33/28.23 [911]~E(x9111,x9112)+E(f152(x9113,x9114,x9115,x9111),f152(x9113,x9114,x9115,x9112))
% 28.33/28.23 [912]~E(x9121,x9122)+E(f588(x9121,x9123,x9124,x9125),f588(x9122,x9123,x9124,x9125))
% 28.33/28.23 [913]~E(x9131,x9132)+E(f588(x9133,x9131,x9134,x9135),f588(x9133,x9132,x9134,x9135))
% 28.33/28.23 [914]~E(x9141,x9142)+E(f588(x9143,x9144,x9141,x9145),f588(x9143,x9144,x9142,x9145))
% 28.33/28.23 [915]~E(x9151,x9152)+E(f588(x9153,x9154,x9155,x9151),f588(x9153,x9154,x9155,x9152))
% 28.33/28.23 [916]~E(x9161,x9162)+E(f292(x9161,x9163),f292(x9162,x9163))
% 28.33/28.23 [917]~E(x9171,x9172)+E(f292(x9173,x9171),f292(x9173,x9172))
% 28.33/28.23 [918]~E(x9181,x9182)+E(f856(x9181,x9183,x9184),f856(x9182,x9183,x9184))
% 28.33/28.23 [919]~E(x9191,x9192)+E(f856(x9193,x9191,x9194),f856(x9193,x9192,x9194))
% 28.33/28.23 [920]~E(x9201,x9202)+E(f856(x9203,x9204,x9201),f856(x9203,x9204,x9202))
% 28.33/28.23 [921]~E(x9211,x9212)+E(f683(x9211),f683(x9212))
% 28.33/28.23 [922]~E(x9221,x9222)+E(f120(x9221,x9223,x9224),f120(x9222,x9223,x9224))
% 28.33/28.23 [923]~E(x9231,x9232)+E(f120(x9233,x9231,x9234),f120(x9233,x9232,x9234))
% 28.33/28.23 [924]~E(x9241,x9242)+E(f120(x9243,x9244,x9241),f120(x9243,x9244,x9242))
% 28.33/28.23 [925]~E(x9251,x9252)+E(f870(x9251,x9253,x9254),f870(x9252,x9253,x9254))
% 28.33/28.23 [926]~E(x9261,x9262)+E(f870(x9263,x9261,x9264),f870(x9263,x9262,x9264))
% 28.33/28.23 [927]~E(x9271,x9272)+E(f870(x9273,x9274,x9271),f870(x9273,x9274,x9272))
% 28.33/28.23 [928]~E(x9281,x9282)+E(f333(x9281),f333(x9282))
% 28.33/28.23 [929]~E(x9291,x9292)+E(f481(x9291,x9293,x9294),f481(x9292,x9293,x9294))
% 28.33/28.23 [930]~E(x9301,x9302)+E(f481(x9303,x9301,x9304),f481(x9303,x9302,x9304))
% 28.33/28.23 [931]~E(x9311,x9312)+E(f481(x9313,x9314,x9311),f481(x9313,x9314,x9312))
% 28.33/28.23 [932]~E(x9321,x9322)+E(f891(x9321,x9323,x9324),f891(x9322,x9323,x9324))
% 28.33/28.23 [933]~E(x9331,x9332)+E(f891(x9333,x9331,x9334),f891(x9333,x9332,x9334))
% 28.33/28.23 [934]~E(x9341,x9342)+E(f891(x9343,x9344,x9341),f891(x9343,x9344,x9342))
% 28.33/28.23 [935]~E(x9351,x9352)+E(f231(x9351,x9353),f231(x9352,x9353))
% 28.33/28.23 [936]~E(x9361,x9362)+E(f231(x9363,x9361),f231(x9363,x9362))
% 28.33/28.23 [937]~E(x9371,x9372)+E(f902(x9371,x9373,x9374,x9375),f902(x9372,x9373,x9374,x9375))
% 28.33/28.23 [938]~E(x9381,x9382)+E(f902(x9383,x9381,x9384,x9385),f902(x9383,x9382,x9384,x9385))
% 28.33/28.23 [939]~E(x9391,x9392)+E(f902(x9393,x9394,x9391,x9395),f902(x9393,x9394,x9392,x9395))
% 28.33/28.23 [940]~E(x9401,x9402)+E(f902(x9403,x9404,x9405,x9401),f902(x9403,x9404,x9405,x9402))
% 28.33/28.23 [941]~E(x9411,x9412)+E(f609(x9411),f609(x9412))
% 28.33/28.23 [942]~E(x9421,x9422)+E(f591(x9421,x9423,x9424),f591(x9422,x9423,x9424))
% 28.33/28.23 [943]~E(x9431,x9432)+E(f591(x9433,x9431,x9434),f591(x9433,x9432,x9434))
% 28.33/28.23 [944]~E(x9441,x9442)+E(f591(x9443,x9444,x9441),f591(x9443,x9444,x9442))
% 28.33/28.23 [945]~E(x9451,x9452)+E(f589(x9451,x9453,x9454,x9455),f589(x9452,x9453,x9454,x9455))
% 28.33/28.23 [946]~E(x9461,x9462)+E(f589(x9463,x9461,x9464,x9465),f589(x9463,x9462,x9464,x9465))
% 28.33/28.23 [947]~E(x9471,x9472)+E(f589(x9473,x9474,x9471,x9475),f589(x9473,x9474,x9472,x9475))
% 28.33/28.23 [948]~E(x9481,x9482)+E(f589(x9483,x9484,x9485,x9481),f589(x9483,x9484,x9485,x9482))
% 28.33/28.23 [949]~E(x9491,x9492)+E(f572(x9491,x9493,x9494,x9495,x9496),f572(x9492,x9493,x9494,x9495,x9496))
% 28.33/28.23 [950]~E(x9501,x9502)+E(f572(x9503,x9501,x9504,x9505,x9506),f572(x9503,x9502,x9504,x9505,x9506))
% 28.33/28.23 [951]~E(x9511,x9512)+E(f572(x9513,x9514,x9511,x9515,x9516),f572(x9513,x9514,x9512,x9515,x9516))
% 28.33/28.23 [952]~E(x9521,x9522)+E(f572(x9523,x9524,x9525,x9521,x9526),f572(x9523,x9524,x9525,x9522,x9526))
% 28.33/28.23 [953]~E(x9531,x9532)+E(f572(x9533,x9534,x9535,x9536,x9531),f572(x9533,x9534,x9535,x9536,x9532))
% 28.33/28.23 [954]~E(x9541,x9542)+E(f188(x9541),f188(x9542))
% 28.33/28.23 [955]~E(x9551,x9552)+E(f194(x9551,x9553),f194(x9552,x9553))
% 28.33/28.23 [956]~E(x9561,x9562)+E(f194(x9563,x9561),f194(x9563,x9562))
% 28.33/28.23 [957]~E(x9571,x9572)+E(f386(x9571,x9573,x9574,x9575),f386(x9572,x9573,x9574,x9575))
% 28.33/28.23 [958]~E(x9581,x9582)+E(f386(x9583,x9581,x9584,x9585),f386(x9583,x9582,x9584,x9585))
% 28.33/28.23 [959]~E(x9591,x9592)+E(f386(x9593,x9594,x9591,x9595),f386(x9593,x9594,x9592,x9595))
% 28.33/28.23 [960]~E(x9601,x9602)+E(f386(x9603,x9604,x9605,x9601),f386(x9603,x9604,x9605,x9602))
% 28.33/28.23 [961]~E(x9611,x9612)+E(f124(x9611,x9613),f124(x9612,x9613))
% 28.33/28.23 [962]~E(x9621,x9622)+E(f124(x9623,x9621),f124(x9623,x9622))
% 28.33/28.23 [963]~E(x9631,x9632)+E(f832(x9631,x9633),f832(x9632,x9633))
% 28.33/28.23 [964]~E(x9641,x9642)+E(f832(x9643,x9641),f832(x9643,x9642))
% 28.33/28.23 [965]~E(x9651,x9652)+E(f768(x9651,x9653,x9654),f768(x9652,x9653,x9654))
% 28.33/28.23 [966]~E(x9661,x9662)+E(f768(x9663,x9661,x9664),f768(x9663,x9662,x9664))
% 28.33/28.23 [967]~E(x9671,x9672)+E(f768(x9673,x9674,x9671),f768(x9673,x9674,x9672))
% 28.33/28.23 [968]~E(x9681,x9682)+E(f552(x9681,x9683,x9684,x9685,x9686),f552(x9682,x9683,x9684,x9685,x9686))
% 28.33/28.23 [969]~E(x9691,x9692)+E(f552(x9693,x9691,x9694,x9695,x9696),f552(x9693,x9692,x9694,x9695,x9696))
% 28.33/28.23 [970]~E(x9701,x9702)+E(f552(x9703,x9704,x9701,x9705,x9706),f552(x9703,x9704,x9702,x9705,x9706))
% 28.33/28.23 [971]~E(x9711,x9712)+E(f552(x9713,x9714,x9715,x9711,x9716),f552(x9713,x9714,x9715,x9712,x9716))
% 28.33/28.23 [972]~E(x9721,x9722)+E(f552(x9723,x9724,x9725,x9726,x9721),f552(x9723,x9724,x9725,x9726,x9722))
% 28.33/28.23 [973]~E(x9731,x9732)+E(f502(x9731,x9733,x9734,x9735),f502(x9732,x9733,x9734,x9735))
% 28.33/28.23 [974]~E(x9741,x9742)+E(f502(x9743,x9741,x9744,x9745),f502(x9743,x9742,x9744,x9745))
% 28.33/28.23 [975]~E(x9751,x9752)+E(f502(x9753,x9754,x9751,x9755),f502(x9753,x9754,x9752,x9755))
% 28.33/28.23 [976]~E(x9761,x9762)+E(f502(x9763,x9764,x9765,x9761),f502(x9763,x9764,x9765,x9762))
% 28.33/28.23 [977]~E(x9771,x9772)+E(f664(x9771,x9773,x9774,x9775,x9776),f664(x9772,x9773,x9774,x9775,x9776))
% 28.33/28.23 [978]~E(x9781,x9782)+E(f664(x9783,x9781,x9784,x9785,x9786),f664(x9783,x9782,x9784,x9785,x9786))
% 28.33/28.23 [979]~E(x9791,x9792)+E(f664(x9793,x9794,x9791,x9795,x9796),f664(x9793,x9794,x9792,x9795,x9796))
% 28.33/28.23 [980]~E(x9801,x9802)+E(f664(x9803,x9804,x9805,x9801,x9806),f664(x9803,x9804,x9805,x9802,x9806))
% 28.33/28.23 [981]~E(x9811,x9812)+E(f664(x9813,x9814,x9815,x9816,x9811),f664(x9813,x9814,x9815,x9816,x9812))
% 28.33/28.23 [982]~E(x9821,x9822)+E(f363(x9821,x9823,x9824,x9825),f363(x9822,x9823,x9824,x9825))
% 28.33/28.23 [983]~E(x9831,x9832)+E(f363(x9833,x9831,x9834,x9835),f363(x9833,x9832,x9834,x9835))
% 28.33/28.23 [984]~E(x9841,x9842)+E(f363(x9843,x9844,x9841,x9845),f363(x9843,x9844,x9842,x9845))
% 28.33/28.23 [985]~E(x9851,x9852)+E(f363(x9853,x9854,x9855,x9851),f363(x9853,x9854,x9855,x9852))
% 28.33/28.23 [986]~E(x9861,x9862)+E(f860(x9861,x9863,x9864),f860(x9862,x9863,x9864))
% 28.33/28.23 [987]~E(x9871,x9872)+E(f860(x9873,x9871,x9874),f860(x9873,x9872,x9874))
% 28.33/28.23 [988]~E(x9881,x9882)+E(f860(x9883,x9884,x9881),f860(x9883,x9884,x9882))
% 28.33/28.23 [989]~E(x9891,x9892)+E(f373(x9891,x9893),f373(x9892,x9893))
% 28.33/28.23 [990]~E(x9901,x9902)+E(f373(x9903,x9901),f373(x9903,x9902))
% 28.33/28.23 [991]~E(x9911,x9912)+E(f665(x9911,x9913,x9914,x9915),f665(x9912,x9913,x9914,x9915))
% 28.33/28.23 [992]~E(x9921,x9922)+E(f665(x9923,x9921,x9924,x9925),f665(x9923,x9922,x9924,x9925))
% 28.33/28.23 [993]~E(x9931,x9932)+E(f665(x9933,x9934,x9931,x9935),f665(x9933,x9934,x9932,x9935))
% 28.33/28.23 [994]~E(x9941,x9942)+E(f665(x9943,x9944,x9945,x9941),f665(x9943,x9944,x9945,x9942))
% 28.33/28.23 [995]~E(x9951,x9952)+E(f839(x9951,x9953,x9954),f839(x9952,x9953,x9954))
% 28.33/28.23 [996]~E(x9961,x9962)+E(f839(x9963,x9961,x9964),f839(x9963,x9962,x9964))
% 28.33/28.23 [997]~E(x9971,x9972)+E(f839(x9973,x9974,x9971),f839(x9973,x9974,x9972))
% 28.33/28.23 [998]~E(x9981,x9982)+E(f70(x9981,x9983,x9984),f70(x9982,x9983,x9984))
% 28.33/28.23 [999]~E(x9991,x9992)+E(f70(x9993,x9991,x9994),f70(x9993,x9992,x9994))
% 28.33/28.23 [1000]~E(x10001,x10002)+E(f70(x10003,x10004,x10001),f70(x10003,x10004,x10002))
% 28.33/28.23 [1001]~E(x10011,x10012)+E(f187(x10011,x10013,x10014,x10015),f187(x10012,x10013,x10014,x10015))
% 28.33/28.23 [1002]~E(x10021,x10022)+E(f187(x10023,x10021,x10024,x10025),f187(x10023,x10022,x10024,x10025))
% 28.33/28.23 [1003]~E(x10031,x10032)+E(f187(x10033,x10034,x10031,x10035),f187(x10033,x10034,x10032,x10035))
% 28.33/28.23 [1004]~E(x10041,x10042)+E(f187(x10043,x10044,x10045,x10041),f187(x10043,x10044,x10045,x10042))
% 28.33/28.23 [1005]~E(x10051,x10052)+E(f646(x10051,x10053,x10054,x10055),f646(x10052,x10053,x10054,x10055))
% 28.33/28.23 [1006]~E(x10061,x10062)+E(f646(x10063,x10061,x10064,x10065),f646(x10063,x10062,x10064,x10065))
% 28.33/28.23 [1007]~E(x10071,x10072)+E(f646(x10073,x10074,x10071,x10075),f646(x10073,x10074,x10072,x10075))
% 28.33/28.23 [1008]~E(x10081,x10082)+E(f646(x10083,x10084,x10085,x10081),f646(x10083,x10084,x10085,x10082))
% 28.33/28.23 [1009]~E(x10091,x10092)+E(f726(x10091),f726(x10092))
% 28.33/28.23 [1010]~E(x10101,x10102)+E(f885(x10101,x10103,x10104),f885(x10102,x10103,x10104))
% 28.33/28.23 [1011]~E(x10111,x10112)+E(f885(x10113,x10111,x10114),f885(x10113,x10112,x10114))
% 28.33/28.23 [1012]~E(x10121,x10122)+E(f885(x10123,x10124,x10121),f885(x10123,x10124,x10122))
% 28.33/28.23 [1013]~E(x10131,x10132)+E(f282(x10131,x10133,x10134,x10135),f282(x10132,x10133,x10134,x10135))
% 28.33/28.23 [1014]~E(x10141,x10142)+E(f282(x10143,x10141,x10144,x10145),f282(x10143,x10142,x10144,x10145))
% 28.33/28.23 [1015]~E(x10151,x10152)+E(f282(x10153,x10154,x10151,x10155),f282(x10153,x10154,x10152,x10155))
% 28.33/28.23 [1016]~E(x10161,x10162)+E(f282(x10163,x10164,x10165,x10161),f282(x10163,x10164,x10165,x10162))
% 28.33/28.23 [1017]~E(x10171,x10172)+E(f62(x10171,x10173,x10174,x10175),f62(x10172,x10173,x10174,x10175))
% 28.33/28.23 [1018]~E(x10181,x10182)+E(f62(x10183,x10181,x10184,x10185),f62(x10183,x10182,x10184,x10185))
% 28.33/28.23 [1019]~E(x10191,x10192)+E(f62(x10193,x10194,x10191,x10195),f62(x10193,x10194,x10192,x10195))
% 28.33/28.23 [1020]~E(x10201,x10202)+E(f62(x10203,x10204,x10205,x10201),f62(x10203,x10204,x10205,x10202))
% 28.33/28.23 [1021]~E(x10211,x10212)+E(f806(x10211,x10213,x10214,x10215),f806(x10212,x10213,x10214,x10215))
% 28.33/28.23 [1022]~E(x10221,x10222)+E(f806(x10223,x10221,x10224,x10225),f806(x10223,x10222,x10224,x10225))
% 28.33/28.23 [1023]~E(x10231,x10232)+E(f806(x10233,x10234,x10231,x10235),f806(x10233,x10234,x10232,x10235))
% 28.33/28.23 [1024]~E(x10241,x10242)+E(f806(x10243,x10244,x10245,x10241),f806(x10243,x10244,x10245,x10242))
% 28.33/28.23 [1025]~E(x10251,x10252)+E(f437(x10251,x10253,x10254),f437(x10252,x10253,x10254))
% 28.33/28.23 [1026]~E(x10261,x10262)+E(f437(x10263,x10261,x10264),f437(x10263,x10262,x10264))
% 28.33/28.23 [1027]~E(x10271,x10272)+E(f437(x10273,x10274,x10271),f437(x10273,x10274,x10272))
% 28.33/28.23 [1028]~E(x10281,x10282)+E(f352(x10281,x10283,x10284),f352(x10282,x10283,x10284))
% 28.33/28.23 [1029]~E(x10291,x10292)+E(f352(x10293,x10291,x10294),f352(x10293,x10292,x10294))
% 28.33/28.23 [1030]~E(x10301,x10302)+E(f352(x10303,x10304,x10301),f352(x10303,x10304,x10302))
% 28.33/28.23 [1031]~E(x10311,x10312)+E(f446(x10311,x10313,x10314),f446(x10312,x10313,x10314))
% 28.33/28.23 [1032]~E(x10321,x10322)+E(f446(x10323,x10321,x10324),f446(x10323,x10322,x10324))
% 28.33/28.23 [1033]~E(x10331,x10332)+E(f446(x10333,x10334,x10331),f446(x10333,x10334,x10332))
% 28.33/28.23 [1034]~E(x10341,x10342)+E(f896(x10341,x10343,x10344),f896(x10342,x10343,x10344))
% 28.33/28.23 [1035]~E(x10351,x10352)+E(f896(x10353,x10351,x10354),f896(x10353,x10352,x10354))
% 28.33/28.23 [1036]~E(x10361,x10362)+E(f896(x10363,x10364,x10361),f896(x10363,x10364,x10362))
% 28.33/28.23 [1037]~E(x10371,x10372)+E(f622(x10371,x10373,x10374),f622(x10372,x10373,x10374))
% 28.33/28.23 [1038]~E(x10381,x10382)+E(f622(x10383,x10381,x10384),f622(x10383,x10382,x10384))
% 28.33/28.23 [1039]~E(x10391,x10392)+E(f622(x10393,x10394,x10391),f622(x10393,x10394,x10392))
% 28.33/28.23 [1040]~E(x10401,x10402)+E(f650(x10401,x10403,x10404),f650(x10402,x10403,x10404))
% 28.33/28.23 [1041]~E(x10411,x10412)+E(f650(x10413,x10411,x10414),f650(x10413,x10412,x10414))
% 28.33/28.23 [1042]~E(x10421,x10422)+E(f650(x10423,x10424,x10421),f650(x10423,x10424,x10422))
% 28.33/28.23 [1043]~E(x10431,x10432)+E(f471(x10431,x10433,x10434,x10435),f471(x10432,x10433,x10434,x10435))
% 28.33/28.23 [1044]~E(x10441,x10442)+E(f471(x10443,x10441,x10444,x10445),f471(x10443,x10442,x10444,x10445))
% 28.33/28.23 [1045]~E(x10451,x10452)+E(f471(x10453,x10454,x10451,x10455),f471(x10453,x10454,x10452,x10455))
% 28.33/28.23 [1046]~E(x10461,x10462)+E(f471(x10463,x10464,x10465,x10461),f471(x10463,x10464,x10465,x10462))
% 28.33/28.23 [1047]~E(x10471,x10472)+E(f833(x10471),f833(x10472))
% 28.33/28.23 [1048]~E(x10481,x10482)+E(f685(x10481,x10483,x10484,x10485),f685(x10482,x10483,x10484,x10485))
% 28.33/28.23 [1049]~E(x10491,x10492)+E(f685(x10493,x10491,x10494,x10495),f685(x10493,x10492,x10494,x10495))
% 28.33/28.23 [1050]~E(x10501,x10502)+E(f685(x10503,x10504,x10501,x10505),f685(x10503,x10504,x10502,x10505))
% 28.33/28.23 [1051]~E(x10511,x10512)+E(f685(x10513,x10514,x10515,x10511),f685(x10513,x10514,x10515,x10512))
% 28.33/28.23 [1052]~E(x10521,x10522)+E(f230(x10521,x10523,x10524,x10525,x10526),f230(x10522,x10523,x10524,x10525,x10526))
% 28.33/28.23 [1053]~E(x10531,x10532)+E(f230(x10533,x10531,x10534,x10535,x10536),f230(x10533,x10532,x10534,x10535,x10536))
% 28.33/28.23 [1054]~E(x10541,x10542)+E(f230(x10543,x10544,x10541,x10545,x10546),f230(x10543,x10544,x10542,x10545,x10546))
% 28.33/28.23 [1055]~E(x10551,x10552)+E(f230(x10553,x10554,x10555,x10551,x10556),f230(x10553,x10554,x10555,x10552,x10556))
% 28.33/28.23 [1056]~E(x10561,x10562)+E(f230(x10563,x10564,x10565,x10566,x10561),f230(x10563,x10564,x10565,x10566,x10562))
% 28.33/28.23 [1057]~E(x10571,x10572)+E(f458(x10571,x10573,x10574,x10575),f458(x10572,x10573,x10574,x10575))
% 28.33/28.23 [1058]~E(x10581,x10582)+E(f458(x10583,x10581,x10584,x10585),f458(x10583,x10582,x10584,x10585))
% 28.33/28.23 [1059]~E(x10591,x10592)+E(f458(x10593,x10594,x10591,x10595),f458(x10593,x10594,x10592,x10595))
% 28.33/28.23 [1060]~E(x10601,x10602)+E(f458(x10603,x10604,x10605,x10601),f458(x10603,x10604,x10605,x10602))
% 28.33/28.23 [1061]~E(x10611,x10612)+E(f844(x10611,x10613,x10614,x10615,x10616,x10617),f844(x10612,x10613,x10614,x10615,x10616,x10617))
% 28.33/28.23 [1062]~E(x10621,x10622)+E(f844(x10623,x10621,x10624,x10625,x10626,x10627),f844(x10623,x10622,x10624,x10625,x10626,x10627))
% 28.33/28.23 [1063]~E(x10631,x10632)+E(f844(x10633,x10634,x10631,x10635,x10636,x10637),f844(x10633,x10634,x10632,x10635,x10636,x10637))
% 28.33/28.23 [1064]~E(x10641,x10642)+E(f844(x10643,x10644,x10645,x10641,x10646,x10647),f844(x10643,x10644,x10645,x10642,x10646,x10647))
% 28.33/28.23 [1065]~E(x10651,x10652)+E(f844(x10653,x10654,x10655,x10656,x10651,x10657),f844(x10653,x10654,x10655,x10656,x10652,x10657))
% 28.33/28.23 [1066]~E(x10661,x10662)+E(f844(x10663,x10664,x10665,x10666,x10667,x10661),f844(x10663,x10664,x10665,x10666,x10667,x10662))
% 28.33/28.23 [1067]~E(x10671,x10672)+E(f824(x10671,x10673,x10674,x10675),f824(x10672,x10673,x10674,x10675))
% 28.33/28.23 [1068]~E(x10681,x10682)+E(f824(x10683,x10681,x10684,x10685),f824(x10683,x10682,x10684,x10685))
% 28.33/28.23 [1069]~E(x10691,x10692)+E(f824(x10693,x10694,x10691,x10695),f824(x10693,x10694,x10692,x10695))
% 28.33/28.23 [1070]~E(x10701,x10702)+E(f824(x10703,x10704,x10705,x10701),f824(x10703,x10704,x10705,x10702))
% 28.33/28.23 [1071]~E(x10711,x10712)+E(f443(x10711),f443(x10712))
% 28.33/28.23 [1072]~E(x10721,x10722)+E(f570(x10721,x10723,x10724,x10725),f570(x10722,x10723,x10724,x10725))
% 28.33/28.23 [1073]~E(x10731,x10732)+E(f570(x10733,x10731,x10734,x10735),f570(x10733,x10732,x10734,x10735))
% 28.33/28.23 [1074]~E(x10741,x10742)+E(f570(x10743,x10744,x10741,x10745),f570(x10743,x10744,x10742,x10745))
% 28.33/28.23 [1075]~E(x10751,x10752)+E(f570(x10753,x10754,x10755,x10751),f570(x10753,x10754,x10755,x10752))
% 28.33/28.23 [1076]~E(x10761,x10762)+E(f573(x10761,x10763,x10764,x10765,x10766),f573(x10762,x10763,x10764,x10765,x10766))
% 28.33/28.23 [1077]~E(x10771,x10772)+E(f573(x10773,x10771,x10774,x10775,x10776),f573(x10773,x10772,x10774,x10775,x10776))
% 28.33/28.23 [1078]~E(x10781,x10782)+E(f573(x10783,x10784,x10781,x10785,x10786),f573(x10783,x10784,x10782,x10785,x10786))
% 28.33/28.23 [1079]~E(x10791,x10792)+E(f573(x10793,x10794,x10795,x10791,x10796),f573(x10793,x10794,x10795,x10792,x10796))
% 28.33/28.23 [1080]~E(x10801,x10802)+E(f573(x10803,x10804,x10805,x10806,x10801),f573(x10803,x10804,x10805,x10806,x10802))
% 28.33/28.23 [1081]~E(x10811,x10812)+E(f200(x10811,x10813,x10814,x10815),f200(x10812,x10813,x10814,x10815))
% 28.33/28.23 [1082]~E(x10821,x10822)+E(f200(x10823,x10821,x10824,x10825),f200(x10823,x10822,x10824,x10825))
% 28.33/28.23 [1083]~E(x10831,x10832)+E(f200(x10833,x10834,x10831,x10835),f200(x10833,x10834,x10832,x10835))
% 28.33/28.23 [1084]~E(x10841,x10842)+E(f200(x10843,x10844,x10845,x10841),f200(x10843,x10844,x10845,x10842))
% 28.33/28.23 [1085]~E(x10851,x10852)+E(f355(x10851,x10853),f355(x10852,x10853))
% 28.33/28.23 [1086]~E(x10861,x10862)+E(f355(x10863,x10861),f355(x10863,x10862))
% 28.33/28.23 [1087]~E(x10871,x10872)+E(f348(x10871,x10873,x10874,x10875,x10876),f348(x10872,x10873,x10874,x10875,x10876))
% 28.33/28.23 [1088]~E(x10881,x10882)+E(f348(x10883,x10881,x10884,x10885,x10886),f348(x10883,x10882,x10884,x10885,x10886))
% 28.33/28.23 [1089]~E(x10891,x10892)+E(f348(x10893,x10894,x10891,x10895,x10896),f348(x10893,x10894,x10892,x10895,x10896))
% 28.33/28.23 [1090]~E(x10901,x10902)+E(f348(x10903,x10904,x10905,x10901,x10906),f348(x10903,x10904,x10905,x10902,x10906))
% 28.33/28.23 [1091]~E(x10911,x10912)+E(f348(x10913,x10914,x10915,x10916,x10911),f348(x10913,x10914,x10915,x10916,x10912))
% 28.33/28.23 [1092]~E(x10921,x10922)+E(f680(x10921,x10923),f680(x10922,x10923))
% 28.33/28.23 [1093]~E(x10931,x10932)+E(f680(x10933,x10931),f680(x10933,x10932))
% 28.33/28.23 [1094]~E(x10941,x10942)+E(f172(x10941,x10943,x10944),f172(x10942,x10943,x10944))
% 28.33/28.23 [1095]~E(x10951,x10952)+E(f172(x10953,x10951,x10954),f172(x10953,x10952,x10954))
% 28.33/28.23 [1096]~E(x10961,x10962)+E(f172(x10963,x10964,x10961),f172(x10963,x10964,x10962))
% 28.33/28.23 [1097]~E(x10971,x10972)+E(f257(x10971,x10973,x10974,x10975,x10976),f257(x10972,x10973,x10974,x10975,x10976))
% 28.33/28.23 [1098]~E(x10981,x10982)+E(f257(x10983,x10981,x10984,x10985,x10986),f257(x10983,x10982,x10984,x10985,x10986))
% 28.33/28.23 [1099]~E(x10991,x10992)+E(f257(x10993,x10994,x10991,x10995,x10996),f257(x10993,x10994,x10992,x10995,x10996))
% 28.33/28.23 [1100]~E(x11001,x11002)+E(f257(x11003,x11004,x11005,x11001,x11006),f257(x11003,x11004,x11005,x11002,x11006))
% 28.33/28.23 [1101]~E(x11011,x11012)+E(f257(x11013,x11014,x11015,x11016,x11011),f257(x11013,x11014,x11015,x11016,x11012))
% 28.33/28.23 [1102]~E(x11021,x11022)+E(f145(x11021,x11023),f145(x11022,x11023))
% 28.33/28.23 [1103]~E(x11031,x11032)+E(f145(x11033,x11031),f145(x11033,x11032))
% 28.33/28.23 [1104]~E(x11041,x11042)+E(f60(x11041),f60(x11042))
% 28.33/28.23 [1105]~E(x11051,x11052)+E(f421(x11051,x11053,x11054),f421(x11052,x11053,x11054))
% 28.33/28.23 [1106]~E(x11061,x11062)+E(f421(x11063,x11061,x11064),f421(x11063,x11062,x11064))
% 28.33/28.23 [1107]~E(x11071,x11072)+E(f421(x11073,x11074,x11071),f421(x11073,x11074,x11072))
% 28.33/28.23 [1108]~E(x11081,x11082)+E(f339(x11081,x11083,x11084,x11085),f339(x11082,x11083,x11084,x11085))
% 28.33/28.23 [1109]~E(x11091,x11092)+E(f339(x11093,x11091,x11094,x11095),f339(x11093,x11092,x11094,x11095))
% 28.33/28.23 [1110]~E(x11101,x11102)+E(f339(x11103,x11104,x11101,x11105),f339(x11103,x11104,x11102,x11105))
% 28.33/28.23 [1111]~E(x11111,x11112)+E(f339(x11113,x11114,x11115,x11111),f339(x11113,x11114,x11115,x11112))
% 28.33/28.23 [1112]~E(x11121,x11122)+E(f555(x11121,x11123),f555(x11122,x11123))
% 28.33/28.23 [1113]~E(x11131,x11132)+E(f555(x11133,x11131),f555(x11133,x11132))
% 28.33/28.23 [1114]~E(x11141,x11142)+E(f781(x11141,x11143,x11144),f781(x11142,x11143,x11144))
% 28.33/28.23 [1115]~E(x11151,x11152)+E(f781(x11153,x11151,x11154),f781(x11153,x11152,x11154))
% 28.33/28.23 [1116]~E(x11161,x11162)+E(f781(x11163,x11164,x11161),f781(x11163,x11164,x11162))
% 28.33/28.23 [1117]~E(x11171,x11172)+E(f736(x11171,x11173,x11174,x11175,x11176,x11177),f736(x11172,x11173,x11174,x11175,x11176,x11177))
% 28.33/28.23 [1118]~E(x11181,x11182)+E(f736(x11183,x11181,x11184,x11185,x11186,x11187),f736(x11183,x11182,x11184,x11185,x11186,x11187))
% 28.33/28.23 [1119]~E(x11191,x11192)+E(f736(x11193,x11194,x11191,x11195,x11196,x11197),f736(x11193,x11194,x11192,x11195,x11196,x11197))
% 28.33/28.23 [1120]~E(x11201,x11202)+E(f736(x11203,x11204,x11205,x11201,x11206,x11207),f736(x11203,x11204,x11205,x11202,x11206,x11207))
% 28.33/28.23 [1121]~E(x11211,x11212)+E(f736(x11213,x11214,x11215,x11216,x11211,x11217),f736(x11213,x11214,x11215,x11216,x11212,x11217))
% 28.33/28.23 [1122]~E(x11221,x11222)+E(f736(x11223,x11224,x11225,x11226,x11227,x11221),f736(x11223,x11224,x11225,x11226,x11227,x11222))
% 28.33/28.23 [1123]~E(x11231,x11232)+E(f670(x11231,x11233,x11234,x11235),f670(x11232,x11233,x11234,x11235))
% 28.33/28.23 [1124]~E(x11241,x11242)+E(f670(x11243,x11241,x11244,x11245),f670(x11243,x11242,x11244,x11245))
% 28.33/28.23 [1125]~E(x11251,x11252)+E(f670(x11253,x11254,x11251,x11255),f670(x11253,x11254,x11252,x11255))
% 28.33/28.23 [1126]~E(x11261,x11262)+E(f670(x11263,x11264,x11265,x11261),f670(x11263,x11264,x11265,x11262))
% 28.33/28.23 [1127]~E(x11271,x11272)+E(f353(x11271,x11273),f353(x11272,x11273))
% 28.33/28.23 [1128]~E(x11281,x11282)+E(f353(x11283,x11281),f353(x11283,x11282))
% 28.33/28.23 [1129]~E(x11291,x11292)+E(f763(x11291,x11293,x11294),f763(x11292,x11293,x11294))
% 28.33/28.23 [1130]~E(x11301,x11302)+E(f763(x11303,x11301,x11304),f763(x11303,x11302,x11304))
% 28.33/28.23 [1131]~E(x11311,x11312)+E(f763(x11313,x11314,x11311),f763(x11313,x11314,x11312))
% 28.33/28.23 [1132]~E(x11321,x11322)+E(f828(x11321),f828(x11322))
% 28.33/28.23 [1133]~E(x11331,x11332)+E(f214(x11331,x11333,x11334,x11335),f214(x11332,x11333,x11334,x11335))
% 28.33/28.23 [1134]~E(x11341,x11342)+E(f214(x11343,x11341,x11344,x11345),f214(x11343,x11342,x11344,x11345))
% 28.33/28.23 [1135]~E(x11351,x11352)+E(f214(x11353,x11354,x11351,x11355),f214(x11353,x11354,x11352,x11355))
% 28.33/28.23 [1136]~E(x11361,x11362)+E(f214(x11363,x11364,x11365,x11361),f214(x11363,x11364,x11365,x11362))
% 28.33/28.23 [1137]~E(x11371,x11372)+E(f424(x11371,x11373,x11374,x11375,x11376),f424(x11372,x11373,x11374,x11375,x11376))
% 28.33/28.23 [1138]~E(x11381,x11382)+E(f424(x11383,x11381,x11384,x11385,x11386),f424(x11383,x11382,x11384,x11385,x11386))
% 28.33/28.23 [1139]~E(x11391,x11392)+E(f424(x11393,x11394,x11391,x11395,x11396),f424(x11393,x11394,x11392,x11395,x11396))
% 28.33/28.23 [1140]~E(x11401,x11402)+E(f424(x11403,x11404,x11405,x11401,x11406),f424(x11403,x11404,x11405,x11402,x11406))
% 28.33/28.23 [1141]~E(x11411,x11412)+E(f424(x11413,x11414,x11415,x11416,x11411),f424(x11413,x11414,x11415,x11416,x11412))
% 28.33/28.23 [1142]~E(x11421,x11422)+E(f598(x11421,x11423),f598(x11422,x11423))
% 28.33/28.23 [1143]~E(x11431,x11432)+E(f598(x11433,x11431),f598(x11433,x11432))
% 28.33/28.23 [1144]~E(x11441,x11442)+E(f334(x11441,x11443,x11444,x11445),f334(x11442,x11443,x11444,x11445))
% 28.33/28.23 [1145]~E(x11451,x11452)+E(f334(x11453,x11451,x11454,x11455),f334(x11453,x11452,x11454,x11455))
% 28.33/28.23 [1146]~E(x11461,x11462)+E(f334(x11463,x11464,x11461,x11465),f334(x11463,x11464,x11462,x11465))
% 28.33/28.23 [1147]~E(x11471,x11472)+E(f334(x11473,x11474,x11475,x11471),f334(x11473,x11474,x11475,x11472))
% 28.33/28.23 [1148]~E(x11481,x11482)+E(f377(x11481,x11483),f377(x11482,x11483))
% 28.33/28.23 [1149]~E(x11491,x11492)+E(f377(x11493,x11491),f377(x11493,x11492))
% 28.33/28.23 [1150]~E(x11501,x11502)+E(f382(x11501,x11503,x11504),f382(x11502,x11503,x11504))
% 28.33/28.23 [1151]~E(x11511,x11512)+E(f382(x11513,x11511,x11514),f382(x11513,x11512,x11514))
% 28.33/28.23 [1152]~E(x11521,x11522)+E(f382(x11523,x11524,x11521),f382(x11523,x11524,x11522))
% 28.33/28.23 [1153]~E(x11531,x11532)+E(f581(x11531,x11533,x11534),f581(x11532,x11533,x11534))
% 28.33/28.23 [1154]~E(x11541,x11542)+E(f581(x11543,x11541,x11544),f581(x11543,x11542,x11544))
% 28.33/28.23 [1155]~E(x11551,x11552)+E(f581(x11553,x11554,x11551),f581(x11553,x11554,x11552))
% 28.33/28.23 [1156]~E(x11561,x11562)+E(f474(x11561,x11563,x11564,x11565,x11566),f474(x11562,x11563,x11564,x11565,x11566))
% 28.33/28.23 [1157]~E(x11571,x11572)+E(f474(x11573,x11571,x11574,x11575,x11576),f474(x11573,x11572,x11574,x11575,x11576))
% 28.33/28.23 [1158]~E(x11581,x11582)+E(f474(x11583,x11584,x11581,x11585,x11586),f474(x11583,x11584,x11582,x11585,x11586))
% 28.33/28.23 [1159]~E(x11591,x11592)+E(f474(x11593,x11594,x11595,x11591,x11596),f474(x11593,x11594,x11595,x11592,x11596))
% 28.33/28.23 [1160]~E(x11601,x11602)+E(f474(x11603,x11604,x11605,x11606,x11601),f474(x11603,x11604,x11605,x11606,x11602))
% 28.33/28.23 [1161]~E(x11611,x11612)+E(f556(x11611,x11613),f556(x11612,x11613))
% 28.33/28.23 [1162]~E(x11621,x11622)+E(f556(x11623,x11621),f556(x11623,x11622))
% 28.33/28.23 [1163]~E(x11631,x11632)+E(f575(x11631,x11633,x11634,x11635,x11636),f575(x11632,x11633,x11634,x11635,x11636))
% 28.33/28.23 [1164]~E(x11641,x11642)+E(f575(x11643,x11641,x11644,x11645,x11646),f575(x11643,x11642,x11644,x11645,x11646))
% 28.33/28.23 [1165]~E(x11651,x11652)+E(f575(x11653,x11654,x11651,x11655,x11656),f575(x11653,x11654,x11652,x11655,x11656))
% 28.33/28.23 [1166]~E(x11661,x11662)+E(f575(x11663,x11664,x11665,x11661,x11666),f575(x11663,x11664,x11665,x11662,x11666))
% 28.33/28.23 [1167]~E(x11671,x11672)+E(f575(x11673,x11674,x11675,x11676,x11671),f575(x11673,x11674,x11675,x11676,x11672))
% 28.33/28.23 [1168]~E(x11681,x11682)+E(f741(x11681,x11683),f741(x11682,x11683))
% 28.33/28.23 [1169]~E(x11691,x11692)+E(f741(x11693,x11691),f741(x11693,x11692))
% 28.33/28.23 [1170]~E(x11701,x11702)+E(f57(x11701,x11703),f57(x11702,x11703))
% 28.33/28.23 [1171]~E(x11711,x11712)+E(f57(x11713,x11711),f57(x11713,x11712))
% 28.33/28.23 [1172]~E(x11721,x11722)+E(f31(x11721,x11723,x11724),f31(x11722,x11723,x11724))
% 28.33/28.23 [1173]~E(x11731,x11732)+E(f31(x11733,x11731,x11734),f31(x11733,x11732,x11734))
% 28.33/28.23 [1174]~E(x11741,x11742)+E(f31(x11743,x11744,x11741),f31(x11743,x11744,x11742))
% 28.33/28.23 [1175]~E(x11751,x11752)+E(f96(x11751,x11753,x11754),f96(x11752,x11753,x11754))
% 28.33/28.23 [1176]~E(x11761,x11762)+E(f96(x11763,x11761,x11764),f96(x11763,x11762,x11764))
% 28.33/28.23 [1177]~E(x11771,x11772)+E(f96(x11773,x11774,x11771),f96(x11773,x11774,x11772))
% 28.33/28.23 [1178]~E(x11781,x11782)+E(f220(x11781,x11783),f220(x11782,x11783))
% 28.33/28.23 [1179]~E(x11791,x11792)+E(f220(x11793,x11791),f220(x11793,x11792))
% 28.33/28.23 [1180]~E(x11801,x11802)+E(f53(x11801,x11803),f53(x11802,x11803))
% 28.33/28.23 [1181]~E(x11811,x11812)+E(f53(x11813,x11811),f53(x11813,x11812))
% 28.33/28.23 [1182]~E(x11821,x11822)+E(f349(x11821,x11823,x11824),f349(x11822,x11823,x11824))
% 28.33/28.23 [1183]~E(x11831,x11832)+E(f349(x11833,x11831,x11834),f349(x11833,x11832,x11834))
% 28.33/28.23 [1184]~E(x11841,x11842)+E(f349(x11843,x11844,x11841),f349(x11843,x11844,x11842))
% 28.33/28.23 [1185]~E(x11851,x11852)+E(f701(x11851,x11853,x11854,x11855,x11856,x11857),f701(x11852,x11853,x11854,x11855,x11856,x11857))
% 28.33/28.23 [1186]~E(x11861,x11862)+E(f701(x11863,x11861,x11864,x11865,x11866,x11867),f701(x11863,x11862,x11864,x11865,x11866,x11867))
% 28.33/28.23 [1187]~E(x11871,x11872)+E(f701(x11873,x11874,x11871,x11875,x11876,x11877),f701(x11873,x11874,x11872,x11875,x11876,x11877))
% 28.33/28.23 [1188]~E(x11881,x11882)+E(f701(x11883,x11884,x11885,x11881,x11886,x11887),f701(x11883,x11884,x11885,x11882,x11886,x11887))
% 28.33/28.23 [1189]~E(x11891,x11892)+E(f701(x11893,x11894,x11895,x11896,x11891,x11897),f701(x11893,x11894,x11895,x11896,x11892,x11897))
% 28.33/28.23 [1190]~E(x11901,x11902)+E(f701(x11903,x11904,x11905,x11906,x11907,x11901),f701(x11903,x11904,x11905,x11906,x11907,x11902))
% 28.33/28.23 [1191]~E(x11911,x11912)+E(f207(x11911,x11913,x11914),f207(x11912,x11913,x11914))
% 28.33/28.23 [1192]~E(x11921,x11922)+E(f207(x11923,x11921,x11924),f207(x11923,x11922,x11924))
% 28.33/28.23 [1193]~E(x11931,x11932)+E(f207(x11933,x11934,x11931),f207(x11933,x11934,x11932))
% 28.33/28.23 [1194]~E(x11941,x11942)+E(f700(x11941,x11943,x11944,x11945,x11946,x11947),f700(x11942,x11943,x11944,x11945,x11946,x11947))
% 28.33/28.23 [1195]~E(x11951,x11952)+E(f700(x11953,x11951,x11954,x11955,x11956,x11957),f700(x11953,x11952,x11954,x11955,x11956,x11957))
% 28.33/28.23 [1196]~E(x11961,x11962)+E(f700(x11963,x11964,x11961,x11965,x11966,x11967),f700(x11963,x11964,x11962,x11965,x11966,x11967))
% 28.33/28.23 [1197]~E(x11971,x11972)+E(f700(x11973,x11974,x11975,x11971,x11976,x11977),f700(x11973,x11974,x11975,x11972,x11976,x11977))
% 28.33/28.23 [1198]~E(x11981,x11982)+E(f700(x11983,x11984,x11985,x11986,x11981,x11987),f700(x11983,x11984,x11985,x11986,x11982,x11987))
% 28.33/28.23 [1199]~E(x11991,x11992)+E(f700(x11993,x11994,x11995,x11996,x11997,x11991),f700(x11993,x11994,x11995,x11996,x11997,x11992))
% 28.33/28.23 [1200]~E(x12001,x12002)+E(f204(x12001),f204(x12002))
% 28.33/28.23 [1201]~E(x12011,x12012)+E(f466(x12011,x12013),f466(x12012,x12013))
% 28.33/28.23 [1202]~E(x12021,x12022)+E(f466(x12023,x12021),f466(x12023,x12022))
% 28.33/28.23 [1203]~E(x12031,x12032)+E(f760(x12031,x12033),f760(x12032,x12033))
% 28.33/28.23 [1204]~E(x12041,x12042)+E(f760(x12043,x12041),f760(x12043,x12042))
% 28.33/28.23 [1205]~E(x12051,x12052)+E(f649(x12051,x12053),f649(x12052,x12053))
% 28.33/28.23 [1206]~E(x12061,x12062)+E(f649(x12063,x12061),f649(x12063,x12062))
% 28.33/28.23 [1207]~E(x12071,x12072)+E(f675(x12071,x12073,x12074,x12075),f675(x12072,x12073,x12074,x12075))
% 28.33/28.23 [1208]~E(x12081,x12082)+E(f675(x12083,x12081,x12084,x12085),f675(x12083,x12082,x12084,x12085))
% 28.33/28.23 [1209]~E(x12091,x12092)+E(f675(x12093,x12094,x12091,x12095),f675(x12093,x12094,x12092,x12095))
% 28.33/28.23 [1210]~E(x12101,x12102)+E(f675(x12103,x12104,x12105,x12101),f675(x12103,x12104,x12105,x12102))
% 28.33/28.23 [1211]~E(x12111,x12112)+E(f399(x12111,x12113,x12114,x12115,x12116),f399(x12112,x12113,x12114,x12115,x12116))
% 28.33/28.23 [1212]~E(x12121,x12122)+E(f399(x12123,x12121,x12124,x12125,x12126),f399(x12123,x12122,x12124,x12125,x12126))
% 28.33/28.23 [1213]~E(x12131,x12132)+E(f399(x12133,x12134,x12131,x12135,x12136),f399(x12133,x12134,x12132,x12135,x12136))
% 28.33/28.23 [1214]~E(x12141,x12142)+E(f399(x12143,x12144,x12145,x12141,x12146),f399(x12143,x12144,x12145,x12142,x12146))
% 28.33/28.23 [1215]~E(x12151,x12152)+E(f399(x12153,x12154,x12155,x12156,x12151),f399(x12153,x12154,x12155,x12156,x12152))
% 28.33/28.23 [1216]~E(x12161,x12162)+E(f203(x12161,x12163),f203(x12162,x12163))
% 28.33/28.23 [1217]~E(x12171,x12172)+E(f203(x12173,x12171),f203(x12173,x12172))
% 28.33/28.23 [1218]~E(x12181,x12182)+E(f892(x12181,x12183,x12184),f892(x12182,x12183,x12184))
% 28.33/28.23 [1219]~E(x12191,x12192)+E(f892(x12193,x12191,x12194),f892(x12193,x12192,x12194))
% 28.33/28.23 [1220]~E(x12201,x12202)+E(f892(x12203,x12204,x12201),f892(x12203,x12204,x12202))
% 28.33/28.23 [1221]~E(x12211,x12212)+E(f379(x12211,x12213),f379(x12212,x12213))
% 28.33/28.23 [1222]~E(x12221,x12222)+E(f379(x12223,x12221),f379(x12223,x12222))
% 28.33/28.23 [1223]~E(x12231,x12232)+E(f630(x12231,x12233,x12234,x12235,x12236),f630(x12232,x12233,x12234,x12235,x12236))
% 28.33/28.23 [1224]~E(x12241,x12242)+E(f630(x12243,x12241,x12244,x12245,x12246),f630(x12243,x12242,x12244,x12245,x12246))
% 28.33/28.23 [1225]~E(x12251,x12252)+E(f630(x12253,x12254,x12251,x12255,x12256),f630(x12253,x12254,x12252,x12255,x12256))
% 28.33/28.23 [1226]~E(x12261,x12262)+E(f630(x12263,x12264,x12265,x12261,x12266),f630(x12263,x12264,x12265,x12262,x12266))
% 28.33/28.23 [1227]~E(x12271,x12272)+E(f630(x12273,x12274,x12275,x12276,x12271),f630(x12273,x12274,x12275,x12276,x12272))
% 28.33/28.23 [1228]~E(x12281,x12282)+E(f521(x12281,x12283,x12284),f521(x12282,x12283,x12284))
% 28.33/28.23 [1229]~E(x12291,x12292)+E(f521(x12293,x12291,x12294),f521(x12293,x12292,x12294))
% 28.33/28.23 [1230]~E(x12301,x12302)+E(f521(x12303,x12304,x12301),f521(x12303,x12304,x12302))
% 28.33/28.23 [1231]~E(x12311,x12312)+E(f332(x12311,x12313,x12314,x12315),f332(x12312,x12313,x12314,x12315))
% 28.33/28.23 [1232]~E(x12321,x12322)+E(f332(x12323,x12321,x12324,x12325),f332(x12323,x12322,x12324,x12325))
% 28.33/28.23 [1233]~E(x12331,x12332)+E(f332(x12333,x12334,x12331,x12335),f332(x12333,x12334,x12332,x12335))
% 28.33/28.23 [1234]~E(x12341,x12342)+E(f332(x12343,x12344,x12345,x12341),f332(x12343,x12344,x12345,x12342))
% 28.33/28.23 [1235]~E(x12351,x12352)+E(f439(x12351,x12353,x12354,x12355),f439(x12352,x12353,x12354,x12355))
% 28.33/28.23 [1236]~E(x12361,x12362)+E(f439(x12363,x12361,x12364,x12365),f439(x12363,x12362,x12364,x12365))
% 28.33/28.23 [1237]~E(x12371,x12372)+E(f439(x12373,x12374,x12371,x12375),f439(x12373,x12374,x12372,x12375))
% 28.33/28.23 [1238]~E(x12381,x12382)+E(f439(x12383,x12384,x12385,x12381),f439(x12383,x12384,x12385,x12382))
% 28.33/28.23 [1239]~E(x12391,x12392)+E(f488(x12391,x12393,x12394,x12395,x12396,x12397),f488(x12392,x12393,x12394,x12395,x12396,x12397))
% 28.33/28.23 [1240]~E(x12401,x12402)+E(f488(x12403,x12401,x12404,x12405,x12406,x12407),f488(x12403,x12402,x12404,x12405,x12406,x12407))
% 28.33/28.23 [1241]~E(x12411,x12412)+E(f488(x12413,x12414,x12411,x12415,x12416,x12417),f488(x12413,x12414,x12412,x12415,x12416,x12417))
% 28.33/28.23 [1242]~E(x12421,x12422)+E(f488(x12423,x12424,x12425,x12421,x12426,x12427),f488(x12423,x12424,x12425,x12422,x12426,x12427))
% 28.33/28.23 [1243]~E(x12431,x12432)+E(f488(x12433,x12434,x12435,x12436,x12431,x12437),f488(x12433,x12434,x12435,x12436,x12432,x12437))
% 28.33/28.23 [1244]~E(x12441,x12442)+E(f488(x12443,x12444,x12445,x12446,x12447,x12441),f488(x12443,x12444,x12445,x12446,x12447,x12442))
% 28.33/28.23 [1245]~E(x12451,x12452)+E(f357(x12451,x12453,x12454,x12455,x12456,x12457,x12458),f357(x12452,x12453,x12454,x12455,x12456,x12457,x12458))
% 28.33/28.23 [1246]~E(x12461,x12462)+E(f357(x12463,x12461,x12464,x12465,x12466,x12467,x12468),f357(x12463,x12462,x12464,x12465,x12466,x12467,x12468))
% 28.33/28.23 [1247]~E(x12471,x12472)+E(f357(x12473,x12474,x12471,x12475,x12476,x12477,x12478),f357(x12473,x12474,x12472,x12475,x12476,x12477,x12478))
% 28.33/28.23 [1248]~E(x12481,x12482)+E(f357(x12483,x12484,x12485,x12481,x12486,x12487,x12488),f357(x12483,x12484,x12485,x12482,x12486,x12487,x12488))
% 28.33/28.23 [1249]~E(x12491,x12492)+E(f357(x12493,x12494,x12495,x12496,x12491,x12497,x12498),f357(x12493,x12494,x12495,x12496,x12492,x12497,x12498))
% 28.33/28.23 [1250]~E(x12501,x12502)+E(f357(x12503,x12504,x12505,x12506,x12507,x12501,x12508),f357(x12503,x12504,x12505,x12506,x12507,x12502,x12508))
% 28.33/28.23 [1251]~E(x12511,x12512)+E(f357(x12513,x12514,x12515,x12516,x12517,x12518,x12511),f357(x12513,x12514,x12515,x12516,x12517,x12518,x12512))
% 28.33/28.23 [1252]~E(x12521,x12522)+E(f527(x12521,x12523),f527(x12522,x12523))
% 28.33/28.23 [1253]~E(x12531,x12532)+E(f527(x12533,x12531),f527(x12533,x12532))
% 28.33/28.23 [1254]~E(x12541,x12542)+E(f704(x12541,x12543,x12544,x12545),f704(x12542,x12543,x12544,x12545))
% 28.33/28.23 [1255]~E(x12551,x12552)+E(f704(x12553,x12551,x12554,x12555),f704(x12553,x12552,x12554,x12555))
% 28.33/28.23 [1256]~E(x12561,x12562)+E(f704(x12563,x12564,x12561,x12565),f704(x12563,x12564,x12562,x12565))
% 28.33/28.23 [1257]~E(x12571,x12572)+E(f704(x12573,x12574,x12575,x12571),f704(x12573,x12574,x12575,x12572))
% 28.33/28.23 [1258]~E(x12581,x12582)+E(f793(x12581,x12583,x12584),f793(x12582,x12583,x12584))
% 28.33/28.23 [1259]~E(x12591,x12592)+E(f793(x12593,x12591,x12594),f793(x12593,x12592,x12594))
% 28.33/28.23 [1260]~E(x12601,x12602)+E(f793(x12603,x12604,x12601),f793(x12603,x12604,x12602))
% 28.33/28.23 [1261]~E(x12611,x12612)+E(f594(x12611,x12613,x12614),f594(x12612,x12613,x12614))
% 28.33/28.23 [1262]~E(x12621,x12622)+E(f594(x12623,x12621,x12624),f594(x12623,x12622,x12624))
% 28.33/28.23 [1263]~E(x12631,x12632)+E(f594(x12633,x12634,x12631),f594(x12633,x12634,x12632))
% 28.33/28.23 [1264]~E(x12641,x12642)+E(f46(x12641),f46(x12642))
% 28.33/28.23 [1265]~E(x12651,x12652)+E(f520(x12651,x12653),f520(x12652,x12653))
% 28.33/28.23 [1266]~E(x12661,x12662)+E(f520(x12663,x12661),f520(x12663,x12662))
% 28.33/28.23 [1267]~E(x12671,x12672)+E(f703(x12671,x12673,x12674,x12675,x12676,x12677),f703(x12672,x12673,x12674,x12675,x12676,x12677))
% 28.33/28.23 [1268]~E(x12681,x12682)+E(f703(x12683,x12681,x12684,x12685,x12686,x12687),f703(x12683,x12682,x12684,x12685,x12686,x12687))
% 28.33/28.23 [1269]~E(x12691,x12692)+E(f703(x12693,x12694,x12691,x12695,x12696,x12697),f703(x12693,x12694,x12692,x12695,x12696,x12697))
% 28.33/28.23 [1270]~E(x12701,x12702)+E(f703(x12703,x12704,x12705,x12701,x12706,x12707),f703(x12703,x12704,x12705,x12702,x12706,x12707))
% 28.33/28.23 [1271]~E(x12711,x12712)+E(f703(x12713,x12714,x12715,x12716,x12711,x12717),f703(x12713,x12714,x12715,x12716,x12712,x12717))
% 28.33/28.23 [1272]~E(x12721,x12722)+E(f703(x12723,x12724,x12725,x12726,x12727,x12721),f703(x12723,x12724,x12725,x12726,x12727,x12722))
% 28.33/28.23 [1273]~E(x12731,x12732)+E(f175(x12731,x12733,x12734),f175(x12732,x12733,x12734))
% 28.33/28.23 [1274]~E(x12741,x12742)+E(f175(x12743,x12741,x12744),f175(x12743,x12742,x12744))
% 28.33/28.23 [1275]~E(x12751,x12752)+E(f175(x12753,x12754,x12751),f175(x12753,x12754,x12752))
% 28.33/28.23 [1276]~E(x12761,x12762)+E(f720(x12761,x12763,x12764),f720(x12762,x12763,x12764))
% 28.33/28.23 [1277]~E(x12771,x12772)+E(f720(x12773,x12771,x12774),f720(x12773,x12772,x12774))
% 28.33/28.23 [1278]~E(x12781,x12782)+E(f720(x12783,x12784,x12781),f720(x12783,x12784,x12782))
% 28.33/28.23 [1279]~E(x12791,x12792)+E(f473(x12791,x12793,x12794,x12795,x12796,x12797,x12798,x12799),f473(x12792,x12793,x12794,x12795,x12796,x12797,x12798,x12799))
% 28.33/28.23 [1280]~E(x12801,x12802)+E(f473(x12803,x12801,x12804,x12805,x12806,x12807,x12808,x12809),f473(x12803,x12802,x12804,x12805,x12806,x12807,x12808,x12809))
% 28.33/28.23 [1281]~E(x12811,x12812)+E(f473(x12813,x12814,x12811,x12815,x12816,x12817,x12818,x12819),f473(x12813,x12814,x12812,x12815,x12816,x12817,x12818,x12819))
% 28.33/28.23 [1282]~E(x12821,x12822)+E(f473(x12823,x12824,x12825,x12821,x12826,x12827,x12828,x12829),f473(x12823,x12824,x12825,x12822,x12826,x12827,x12828,x12829))
% 28.33/28.23 [1283]~E(x12831,x12832)+E(f473(x12833,x12834,x12835,x12836,x12831,x12837,x12838,x12839),f473(x12833,x12834,x12835,x12836,x12832,x12837,x12838,x12839))
% 28.33/28.23 [1284]~E(x12841,x12842)+E(f473(x12843,x12844,x12845,x12846,x12847,x12841,x12848,x12849),f473(x12843,x12844,x12845,x12846,x12847,x12842,x12848,x12849))
% 28.33/28.23 [1285]~E(x12851,x12852)+E(f473(x12853,x12854,x12855,x12856,x12857,x12858,x12851,x12859),f473(x12853,x12854,x12855,x12856,x12857,x12858,x12852,x12859))
% 28.33/28.23 [1286]~E(x12861,x12862)+E(f473(x12863,x12864,x12865,x12866,x12867,x12868,x12869,x12861),f473(x12863,x12864,x12865,x12866,x12867,x12868,x12869,x12862))
% 28.33/28.23 [1287]~E(x12871,x12872)+E(f846(x12871,x12873),f846(x12872,x12873))
% 28.33/28.23 [1288]~E(x12881,x12882)+E(f846(x12883,x12881),f846(x12883,x12882))
% 28.33/28.23 [1289]~E(x12891,x12892)+E(f692(x12891),f692(x12892))
% 28.33/28.23 [1290]~E(x12901,x12902)+E(f497(x12901,x12903,x12904,x12905,x12906),f497(x12902,x12903,x12904,x12905,x12906))
% 28.33/28.23 [1291]~E(x12911,x12912)+E(f497(x12913,x12911,x12914,x12915,x12916),f497(x12913,x12912,x12914,x12915,x12916))
% 28.33/28.23 [1292]~E(x12921,x12922)+E(f497(x12923,x12924,x12921,x12925,x12926),f497(x12923,x12924,x12922,x12925,x12926))
% 28.33/28.23 [1293]~E(x12931,x12932)+E(f497(x12933,x12934,x12935,x12931,x12936),f497(x12933,x12934,x12935,x12932,x12936))
% 28.33/28.23 [1294]~E(x12941,x12942)+E(f497(x12943,x12944,x12945,x12946,x12941),f497(x12943,x12944,x12945,x12946,x12942))
% 28.33/28.23 [1295]~E(x12951,x12952)+E(f618(x12951,x12953,x12954,x12955,x12956),f618(x12952,x12953,x12954,x12955,x12956))
% 28.33/28.23 [1296]~E(x12961,x12962)+E(f618(x12963,x12961,x12964,x12965,x12966),f618(x12963,x12962,x12964,x12965,x12966))
% 28.33/28.23 [1297]~E(x12971,x12972)+E(f618(x12973,x12974,x12971,x12975,x12976),f618(x12973,x12974,x12972,x12975,x12976))
% 28.33/28.23 [1298]~E(x12981,x12982)+E(f618(x12983,x12984,x12985,x12981,x12986),f618(x12983,x12984,x12985,x12982,x12986))
% 28.33/28.23 [1299]~E(x12991,x12992)+E(f618(x12993,x12994,x12995,x12996,x12991),f618(x12993,x12994,x12995,x12996,x12992))
% 28.33/28.23 [1300]~E(x13001,x13002)+E(f827(x13001,x13003),f827(x13002,x13003))
% 28.33/28.23 [1301]~E(x13011,x13012)+E(f827(x13013,x13011),f827(x13013,x13012))
% 28.33/28.23 [1302]~E(x13021,x13022)+E(f518(x13021,x13023,x13024),f518(x13022,x13023,x13024))
% 28.33/28.23 [1303]~E(x13031,x13032)+E(f518(x13033,x13031,x13034),f518(x13033,x13032,x13034))
% 28.33/28.23 [1304]~E(x13041,x13042)+E(f518(x13043,x13044,x13041),f518(x13043,x13044,x13042))
% 28.33/28.23 [1305]~E(x13051,x13052)+E(f903(x13051,x13053,x13054,x13055,x13056,x13057,x13058),f903(x13052,x13053,x13054,x13055,x13056,x13057,x13058))
% 28.33/28.23 [1306]~E(x13061,x13062)+E(f903(x13063,x13061,x13064,x13065,x13066,x13067,x13068),f903(x13063,x13062,x13064,x13065,x13066,x13067,x13068))
% 28.33/28.23 [1307]~E(x13071,x13072)+E(f903(x13073,x13074,x13071,x13075,x13076,x13077,x13078),f903(x13073,x13074,x13072,x13075,x13076,x13077,x13078))
% 28.33/28.23 [1308]~E(x13081,x13082)+E(f903(x13083,x13084,x13085,x13081,x13086,x13087,x13088),f903(x13083,x13084,x13085,x13082,x13086,x13087,x13088))
% 28.33/28.23 [1309]~E(x13091,x13092)+E(f903(x13093,x13094,x13095,x13096,x13091,x13097,x13098),f903(x13093,x13094,x13095,x13096,x13092,x13097,x13098))
% 28.33/28.23 [1310]~E(x13101,x13102)+E(f903(x13103,x13104,x13105,x13106,x13107,x13101,x13108),f903(x13103,x13104,x13105,x13106,x13107,x13102,x13108))
% 28.33/28.23 [1311]~E(x13111,x13112)+E(f903(x13113,x13114,x13115,x13116,x13117,x13118,x13111),f903(x13113,x13114,x13115,x13116,x13117,x13118,x13112))
% 28.33/28.23 [1312]~E(x13121,x13122)+E(f569(x13121,x13123,x13124,x13125),f569(x13122,x13123,x13124,x13125))
% 28.33/28.23 [1313]~E(x13131,x13132)+E(f569(x13133,x13131,x13134,x13135),f569(x13133,x13132,x13134,x13135))
% 28.33/28.23 [1314]~E(x13141,x13142)+E(f569(x13143,x13144,x13141,x13145),f569(x13143,x13144,x13142,x13145))
% 28.33/28.23 [1315]~E(x13151,x13152)+E(f569(x13153,x13154,x13155,x13151),f569(x13153,x13154,x13155,x13152))
% 28.33/28.23 [1316]~E(x13161,x13162)+E(f19(x13161,x13163,x13164,x13165),f19(x13162,x13163,x13164,x13165))
% 28.33/28.23 [1317]~E(x13171,x13172)+E(f19(x13173,x13171,x13174,x13175),f19(x13173,x13172,x13174,x13175))
% 28.33/28.23 [1318]~E(x13181,x13182)+E(f19(x13183,x13184,x13181,x13185),f19(x13183,x13184,x13182,x13185))
% 28.33/28.23 [1319]~E(x13191,x13192)+E(f19(x13193,x13194,x13195,x13191),f19(x13193,x13194,x13195,x13192))
% 28.33/28.23 [1320]~E(x13201,x13202)+E(f483(x13201,x13203,x13204,x13205),f483(x13202,x13203,x13204,x13205))
% 28.33/28.23 [1321]~E(x13211,x13212)+E(f483(x13213,x13211,x13214,x13215),f483(x13213,x13212,x13214,x13215))
% 28.33/28.23 [1322]~E(x13221,x13222)+E(f483(x13223,x13224,x13221,x13225),f483(x13223,x13224,x13222,x13225))
% 28.33/28.23 [1323]~E(x13231,x13232)+E(f483(x13233,x13234,x13235,x13231),f483(x13233,x13234,x13235,x13232))
% 28.33/28.23 [1324]~E(x13241,x13242)+E(f654(x13241,x13243),f654(x13242,x13243))
% 28.33/28.23 [1325]~E(x13251,x13252)+E(f654(x13253,x13251),f654(x13253,x13252))
% 28.33/28.23 [1326]~E(x13261,x13262)+E(f797(x13261,x13263),f797(x13262,x13263))
% 28.33/28.23 [1327]~E(x13271,x13272)+E(f797(x13273,x13271),f797(x13273,x13272))
% 28.33/28.23 [1328]~E(x13281,x13282)+E(f792(x13281,x13283,x13284),f792(x13282,x13283,x13284))
% 28.33/28.23 [1329]~E(x13291,x13292)+E(f792(x13293,x13291,x13294),f792(x13293,x13292,x13294))
% 28.33/28.23 [1330]~E(x13301,x13302)+E(f792(x13303,x13304,x13301),f792(x13303,x13304,x13302))
% 28.33/28.23 [1331]~E(x13311,x13312)+E(f676(x13311,x13313),f676(x13312,x13313))
% 28.33/28.23 [1332]~E(x13321,x13322)+E(f676(x13323,x13321),f676(x13323,x13322))
% 28.33/28.23 [1333]~E(x13331,x13332)+E(f678(x13331,x13333,x13334),f678(x13332,x13333,x13334))
% 28.33/28.23 [1334]~E(x13341,x13342)+E(f678(x13343,x13341,x13344),f678(x13343,x13342,x13344))
% 28.33/28.23 [1335]~E(x13351,x13352)+E(f678(x13353,x13354,x13351),f678(x13353,x13354,x13352))
% 28.33/28.23 [1336]~E(x13361,x13362)+E(f583(x13361,x13363,x13364),f583(x13362,x13363,x13364))
% 28.33/28.23 [1337]~E(x13371,x13372)+E(f583(x13373,x13371,x13374),f583(x13373,x13372,x13374))
% 28.33/28.23 [1338]~E(x13381,x13382)+E(f583(x13383,x13384,x13381),f583(x13383,x13384,x13382))
% 28.33/28.23 [1339]~E(x13391,x13392)+E(f782(x13391,x13393,x13394),f782(x13392,x13393,x13394))
% 28.33/28.23 [1340]~E(x13401,x13402)+E(f782(x13403,x13401,x13404),f782(x13403,x13402,x13404))
% 28.33/28.23 [1341]~E(x13411,x13412)+E(f782(x13413,x13414,x13411),f782(x13413,x13414,x13412))
% 28.33/28.23 [1342]~E(x13421,x13422)+E(f830(x13421,x13423),f830(x13422,x13423))
% 28.33/28.23 [1343]~E(x13431,x13432)+E(f830(x13433,x13431),f830(x13433,x13432))
% 28.33/28.23 [1344]~E(x13441,x13442)+E(f272(x13441,x13443),f272(x13442,x13443))
% 28.33/28.23 [1345]~E(x13451,x13452)+E(f272(x13453,x13451),f272(x13453,x13452))
% 28.33/28.23 [1346]~E(x13461,x13462)+E(f734(x13461,x13463,x13464,x13465,x13466),f734(x13462,x13463,x13464,x13465,x13466))
% 28.33/28.23 [1347]~E(x13471,x13472)+E(f734(x13473,x13471,x13474,x13475,x13476),f734(x13473,x13472,x13474,x13475,x13476))
% 28.33/28.23 [1348]~E(x13481,x13482)+E(f734(x13483,x13484,x13481,x13485,x13486),f734(x13483,x13484,x13482,x13485,x13486))
% 28.33/28.23 [1349]~E(x13491,x13492)+E(f734(x13493,x13494,x13495,x13491,x13496),f734(x13493,x13494,x13495,x13492,x13496))
% 28.33/28.23 [1350]~E(x13501,x13502)+E(f734(x13503,x13504,x13505,x13506,x13501),f734(x13503,x13504,x13505,x13506,x13502))
% 28.33/28.23 [1351]~E(x13511,x13512)+E(f770(x13511,x13513,x13514,x13515,x13516,x13517,x13518),f770(x13512,x13513,x13514,x13515,x13516,x13517,x13518))
% 28.33/28.23 [1352]~E(x13521,x13522)+E(f770(x13523,x13521,x13524,x13525,x13526,x13527,x13528),f770(x13523,x13522,x13524,x13525,x13526,x13527,x13528))
% 28.33/28.23 [1353]~E(x13531,x13532)+E(f770(x13533,x13534,x13531,x13535,x13536,x13537,x13538),f770(x13533,x13534,x13532,x13535,x13536,x13537,x13538))
% 28.33/28.23 [1354]~E(x13541,x13542)+E(f770(x13543,x13544,x13545,x13541,x13546,x13547,x13548),f770(x13543,x13544,x13545,x13542,x13546,x13547,x13548))
% 28.33/28.23 [1355]~E(x13551,x13552)+E(f770(x13553,x13554,x13555,x13556,x13551,x13557,x13558),f770(x13553,x13554,x13555,x13556,x13552,x13557,x13558))
% 28.33/28.23 [1356]~E(x13561,x13562)+E(f770(x13563,x13564,x13565,x13566,x13567,x13561,x13568),f770(x13563,x13564,x13565,x13566,x13567,x13562,x13568))
% 28.33/28.23 [1357]~E(x13571,x13572)+E(f770(x13573,x13574,x13575,x13576,x13577,x13578,x13571),f770(x13573,x13574,x13575,x13576,x13577,x13578,x13572))
% 28.33/28.23 [1358]~E(x13581,x13582)+E(f121(x13581,x13583,x13584),f121(x13582,x13583,x13584))
% 28.33/28.23 [1359]~E(x13591,x13592)+E(f121(x13593,x13591,x13594),f121(x13593,x13592,x13594))
% 28.33/28.23 [1360]~E(x13601,x13602)+E(f121(x13603,x13604,x13601),f121(x13603,x13604,x13602))
% 28.33/28.23 [1361]~E(x13611,x13612)+E(f796(x13611,x13613,x13614,x13615),f796(x13612,x13613,x13614,x13615))
% 28.33/28.23 [1362]~E(x13621,x13622)+E(f796(x13623,x13621,x13624,x13625),f796(x13623,x13622,x13624,x13625))
% 28.33/28.23 [1363]~E(x13631,x13632)+E(f796(x13633,x13634,x13631,x13635),f796(x13633,x13634,x13632,x13635))
% 28.33/28.23 [1364]~E(x13641,x13642)+E(f796(x13643,x13644,x13645,x13641),f796(x13643,x13644,x13645,x13642))
% 28.33/28.23 [1365]~E(x13651,x13652)+E(f511(x13651,x13653,x13654),f511(x13652,x13653,x13654))
% 28.33/28.23 [1366]~E(x13661,x13662)+E(f511(x13663,x13661,x13664),f511(x13663,x13662,x13664))
% 28.33/28.23 [1367]~E(x13671,x13672)+E(f511(x13673,x13674,x13671),f511(x13673,x13674,x13672))
% 28.33/28.23 [1368]~E(x13681,x13682)+E(f787(x13681,x13683,x13684,x13685,x13686,x13687),f787(x13682,x13683,x13684,x13685,x13686,x13687))
% 28.33/28.23 [1369]~E(x13691,x13692)+E(f787(x13693,x13691,x13694,x13695,x13696,x13697),f787(x13693,x13692,x13694,x13695,x13696,x13697))
% 28.33/28.23 [1370]~E(x13701,x13702)+E(f787(x13703,x13704,x13701,x13705,x13706,x13707),f787(x13703,x13704,x13702,x13705,x13706,x13707))
% 28.33/28.23 [1371]~E(x13711,x13712)+E(f787(x13713,x13714,x13715,x13711,x13716,x13717),f787(x13713,x13714,x13715,x13712,x13716,x13717))
% 28.33/28.23 [1372]~E(x13721,x13722)+E(f787(x13723,x13724,x13725,x13726,x13721,x13727),f787(x13723,x13724,x13725,x13726,x13722,x13727))
% 28.33/28.23 [1373]~E(x13731,x13732)+E(f787(x13733,x13734,x13735,x13736,x13737,x13731),f787(x13733,x13734,x13735,x13736,x13737,x13732))
% 28.33/28.23 [1374]~E(x13741,x13742)+E(f790(x13741,x13743,x13744),f790(x13742,x13743,x13744))
% 28.33/28.23 [1375]~E(x13751,x13752)+E(f790(x13753,x13751,x13754),f790(x13753,x13752,x13754))
% 28.33/28.23 [1376]~E(x13761,x13762)+E(f790(x13763,x13764,x13761),f790(x13763,x13764,x13762))
% 28.33/28.23 [1377]~E(x13771,x13772)+E(f278(x13771,x13773,x13774,x13775),f278(x13772,x13773,x13774,x13775))
% 28.33/28.23 [1378]~E(x13781,x13782)+E(f278(x13783,x13781,x13784,x13785),f278(x13783,x13782,x13784,x13785))
% 28.33/28.23 [1379]~E(x13791,x13792)+E(f278(x13793,x13794,x13791,x13795),f278(x13793,x13794,x13792,x13795))
% 28.33/28.23 [1380]~E(x13801,x13802)+E(f278(x13803,x13804,x13805,x13801),f278(x13803,x13804,x13805,x13802))
% 28.33/28.23 [1381]~E(x13811,x13812)+E(f858(x13811,x13813,x13814),f858(x13812,x13813,x13814))
% 28.33/28.23 [1382]~E(x13821,x13822)+E(f858(x13823,x13821,x13824),f858(x13823,x13822,x13824))
% 28.33/28.23 [1383]~E(x13831,x13832)+E(f858(x13833,x13834,x13831),f858(x13833,x13834,x13832))
% 28.33/28.23 [1384]~E(x13841,x13842)+E(f623(x13841,x13843,x13844,x13845),f623(x13842,x13843,x13844,x13845))
% 28.33/28.23 [1385]~E(x13851,x13852)+E(f623(x13853,x13851,x13854,x13855),f623(x13853,x13852,x13854,x13855))
% 28.33/28.23 [1386]~E(x13861,x13862)+E(f623(x13863,x13864,x13861,x13865),f623(x13863,x13864,x13862,x13865))
% 28.33/28.23 [1387]~E(x13871,x13872)+E(f623(x13873,x13874,x13875,x13871),f623(x13873,x13874,x13875,x13872))
% 28.33/28.23 [1388]~E(x13881,x13882)+E(f254(x13881,x13883,x13884),f254(x13882,x13883,x13884))
% 28.33/28.23 [1389]~E(x13891,x13892)+E(f254(x13893,x13891,x13894),f254(x13893,x13892,x13894))
% 28.33/28.23 [1390]~E(x13901,x13902)+E(f254(x13903,x13904,x13901),f254(x13903,x13904,x13902))
% 28.33/28.23 [1391]~E(x13911,x13912)+E(f165(x13911,x13913,x13914,x13915),f165(x13912,x13913,x13914,x13915))
% 28.33/28.23 [1392]~E(x13921,x13922)+E(f165(x13923,x13921,x13924,x13925),f165(x13923,x13922,x13924,x13925))
% 28.33/28.23 [1393]~E(x13931,x13932)+E(f165(x13933,x13934,x13931,x13935),f165(x13933,x13934,x13932,x13935))
% 28.33/28.23 [1394]~E(x13941,x13942)+E(f165(x13943,x13944,x13945,x13941),f165(x13943,x13944,x13945,x13942))
% 28.33/28.23 [1395]~E(x13951,x13952)+E(f640(x13951,x13953,x13954),f640(x13952,x13953,x13954))
% 28.33/28.23 [1396]~E(x13961,x13962)+E(f640(x13963,x13961,x13964),f640(x13963,x13962,x13964))
% 28.33/28.23 [1397]~E(x13971,x13972)+E(f640(x13973,x13974,x13971),f640(x13973,x13974,x13972))
% 28.33/28.23 [1398]~E(x13981,x13982)+E(f861(x13981,x13983,x13984),f861(x13982,x13983,x13984))
% 28.33/28.23 [1399]~E(x13991,x13992)+E(f861(x13993,x13991,x13994),f861(x13993,x13992,x13994))
% 28.33/28.23 [1400]~E(x14001,x14002)+E(f861(x14003,x14004,x14001),f861(x14003,x14004,x14002))
% 28.33/28.23 [1401]~E(x14011,x14012)+E(f889(x14011,x14013,x14014),f889(x14012,x14013,x14014))
% 28.33/28.23 [1402]~E(x14021,x14022)+E(f889(x14023,x14021,x14024),f889(x14023,x14022,x14024))
% 28.33/28.23 [1403]~E(x14031,x14032)+E(f889(x14033,x14034,x14031),f889(x14033,x14034,x14032))
% 28.33/28.23 [1404]~E(x14041,x14042)+E(f344(x14041,x14043,x14044,x14045,x14046,x14047,x14048),f344(x14042,x14043,x14044,x14045,x14046,x14047,x14048))
% 28.33/28.23 [1405]~E(x14051,x14052)+E(f344(x14053,x14051,x14054,x14055,x14056,x14057,x14058),f344(x14053,x14052,x14054,x14055,x14056,x14057,x14058))
% 28.33/28.23 [1406]~E(x14061,x14062)+E(f344(x14063,x14064,x14061,x14065,x14066,x14067,x14068),f344(x14063,x14064,x14062,x14065,x14066,x14067,x14068))
% 28.33/28.23 [1407]~E(x14071,x14072)+E(f344(x14073,x14074,x14075,x14071,x14076,x14077,x14078),f344(x14073,x14074,x14075,x14072,x14076,x14077,x14078))
% 28.33/28.23 [1408]~E(x14081,x14082)+E(f344(x14083,x14084,x14085,x14086,x14081,x14087,x14088),f344(x14083,x14084,x14085,x14086,x14082,x14087,x14088))
% 28.33/28.23 [1409]~E(x14091,x14092)+E(f344(x14093,x14094,x14095,x14096,x14097,x14091,x14098),f344(x14093,x14094,x14095,x14096,x14097,x14092,x14098))
% 28.33/28.23 [1410]~E(x14101,x14102)+E(f344(x14103,x14104,x14105,x14106,x14107,x14108,x14101),f344(x14103,x14104,x14105,x14106,x14107,x14108,x14102))
% 28.33/28.23 [1411]~E(x14111,x14112)+E(f461(x14111,x14113,x14114,x14115),f461(x14112,x14113,x14114,x14115))
% 28.33/28.23 [1412]~E(x14121,x14122)+E(f461(x14123,x14121,x14124,x14125),f461(x14123,x14122,x14124,x14125))
% 28.33/28.23 [1413]~E(x14131,x14132)+E(f461(x14133,x14134,x14131,x14135),f461(x14133,x14134,x14132,x14135))
% 28.33/28.23 [1414]~E(x14141,x14142)+E(f461(x14143,x14144,x14145,x14141),f461(x14143,x14144,x14145,x14142))
% 28.33/28.23 [1415]~E(x14151,x14152)+E(f845(x14151,x14153),f845(x14152,x14153))
% 28.33/28.23 [1416]~E(x14161,x14162)+E(f845(x14163,x14161),f845(x14163,x14162))
% 28.33/28.23 [1417]~E(x14171,x14172)+E(f21(x14171,x14173,x14174,x14175),f21(x14172,x14173,x14174,x14175))
% 28.33/28.23 [1418]~E(x14181,x14182)+E(f21(x14183,x14181,x14184,x14185),f21(x14183,x14182,x14184,x14185))
% 28.33/28.23 [1419]~E(x14191,x14192)+E(f21(x14193,x14194,x14191,x14195),f21(x14193,x14194,x14192,x14195))
% 28.33/28.23 [1420]~E(x14201,x14202)+E(f21(x14203,x14204,x14205,x14201),f21(x14203,x14204,x14205,x14202))
% 28.33/28.23 [1421]~E(x14211,x14212)+E(f843(x14211,x14213,x14214,x14215,x14216,x14217),f843(x14212,x14213,x14214,x14215,x14216,x14217))
% 28.33/28.23 [1422]~E(x14221,x14222)+E(f843(x14223,x14221,x14224,x14225,x14226,x14227),f843(x14223,x14222,x14224,x14225,x14226,x14227))
% 28.33/28.23 [1423]~E(x14231,x14232)+E(f843(x14233,x14234,x14231,x14235,x14236,x14237),f843(x14233,x14234,x14232,x14235,x14236,x14237))
% 28.33/28.23 [1424]~E(x14241,x14242)+E(f843(x14243,x14244,x14245,x14241,x14246,x14247),f843(x14243,x14244,x14245,x14242,x14246,x14247))
% 28.33/28.23 [1425]~E(x14251,x14252)+E(f843(x14253,x14254,x14255,x14256,x14251,x14257),f843(x14253,x14254,x14255,x14256,x14252,x14257))
% 28.33/28.23 [1426]~E(x14261,x14262)+E(f843(x14263,x14264,x14265,x14266,x14267,x14261),f843(x14263,x14264,x14265,x14266,x14267,x14262))
% 28.33/28.23 [1427]~E(x14271,x14272)+E(f489(x14271,x14273,x14274,x14275,x14276,x14277),f489(x14272,x14273,x14274,x14275,x14276,x14277))
% 28.33/28.23 [1428]~E(x14281,x14282)+E(f489(x14283,x14281,x14284,x14285,x14286,x14287),f489(x14283,x14282,x14284,x14285,x14286,x14287))
% 28.33/28.23 [1429]~E(x14291,x14292)+E(f489(x14293,x14294,x14291,x14295,x14296,x14297),f489(x14293,x14294,x14292,x14295,x14296,x14297))
% 28.33/28.23 [1430]~E(x14301,x14302)+E(f489(x14303,x14304,x14305,x14301,x14306,x14307),f489(x14303,x14304,x14305,x14302,x14306,x14307))
% 28.33/28.23 [1431]~E(x14311,x14312)+E(f489(x14313,x14314,x14315,x14316,x14311,x14317),f489(x14313,x14314,x14315,x14316,x14312,x14317))
% 28.33/28.23 [1432]~E(x14321,x14322)+E(f489(x14323,x14324,x14325,x14326,x14327,x14321),f489(x14323,x14324,x14325,x14326,x14327,x14322))
% 28.33/28.23 [1433]~E(x14331,x14332)+E(f212(x14331),f212(x14332))
% 28.33/28.23 [1434]~E(x14341,x14342)+E(f766(x14341,x14343,x14344),f766(x14342,x14343,x14344))
% 28.33/28.23 [1435]~E(x14351,x14352)+E(f766(x14353,x14351,x14354),f766(x14353,x14352,x14354))
% 28.33/28.23 [1436]~E(x14361,x14362)+E(f766(x14363,x14364,x14361),f766(x14363,x14364,x14362))
% 28.33/28.23 [1437]~E(x14371,x14372)+E(f358(x14371,x14373,x14374),f358(x14372,x14373,x14374))
% 28.33/28.23 [1438]~E(x14381,x14382)+E(f358(x14383,x14381,x14384),f358(x14383,x14382,x14384))
% 28.33/28.23 [1439]~E(x14391,x14392)+E(f358(x14393,x14394,x14391),f358(x14393,x14394,x14392))
% 28.33/28.23 [1440]~E(x14401,x14402)+E(f647(x14401,x14403,x14404),f647(x14402,x14403,x14404))
% 28.33/28.23 [1441]~E(x14411,x14412)+E(f647(x14413,x14411,x14414),f647(x14413,x14412,x14414))
% 28.33/28.23 [1442]~E(x14421,x14422)+E(f647(x14423,x14424,x14421),f647(x14423,x14424,x14422))
% 28.33/28.23 [1443]~E(x14431,x14432)+E(f608(x14431,x14433),f608(x14432,x14433))
% 28.33/28.23 [1444]~E(x14441,x14442)+E(f608(x14443,x14441),f608(x14443,x14442))
% 28.33/28.23 [1445]~E(x14451,x14452)+E(f234(x14451,x14453,x14454),f234(x14452,x14453,x14454))
% 28.33/28.23 [1446]~E(x14461,x14462)+E(f234(x14463,x14461,x14464),f234(x14463,x14462,x14464))
% 28.33/28.23 [1447]~E(x14471,x14472)+E(f234(x14473,x14474,x14471),f234(x14473,x14474,x14472))
% 28.33/28.23 [1448]~E(x14481,x14482)+E(f496(x14481,x14483,x14484,x14485,x14486),f496(x14482,x14483,x14484,x14485,x14486))
% 28.33/28.23 [1449]~E(x14491,x14492)+E(f496(x14493,x14491,x14494,x14495,x14496),f496(x14493,x14492,x14494,x14495,x14496))
% 28.33/28.23 [1450]~E(x14501,x14502)+E(f496(x14503,x14504,x14501,x14505,x14506),f496(x14503,x14504,x14502,x14505,x14506))
% 28.33/28.23 [1451]~E(x14511,x14512)+E(f496(x14513,x14514,x14515,x14511,x14516),f496(x14513,x14514,x14515,x14512,x14516))
% 28.33/28.23 [1452]~E(x14521,x14522)+E(f496(x14523,x14524,x14525,x14526,x14521),f496(x14523,x14524,x14525,x14526,x14522))
% 28.33/28.23 [1453]~E(x14531,x14532)+E(f772(x14531,x14533,x14534),f772(x14532,x14533,x14534))
% 28.33/28.23 [1454]~E(x14541,x14542)+E(f772(x14543,x14541,x14544),f772(x14543,x14542,x14544))
% 28.33/28.23 [1455]~E(x14551,x14552)+E(f772(x14553,x14554,x14551),f772(x14553,x14554,x14552))
% 28.33/28.23 [1456]~E(x14561,x14562)+E(f509(x14561,x14563,x14564,x14565,x14566),f509(x14562,x14563,x14564,x14565,x14566))
% 28.33/28.23 [1457]~E(x14571,x14572)+E(f509(x14573,x14571,x14574,x14575,x14576),f509(x14573,x14572,x14574,x14575,x14576))
% 28.33/28.23 [1458]~E(x14581,x14582)+E(f509(x14583,x14584,x14581,x14585,x14586),f509(x14583,x14584,x14582,x14585,x14586))
% 28.33/28.23 [1459]~E(x14591,x14592)+E(f509(x14593,x14594,x14595,x14591,x14596),f509(x14593,x14594,x14595,x14592,x14596))
% 28.33/28.23 [1460]~E(x14601,x14602)+E(f509(x14603,x14604,x14605,x14606,x14601),f509(x14603,x14604,x14605,x14606,x14602))
% 28.33/28.23 [1461]~E(x14611,x14612)+E(f447(x14611,x14613,x14614),f447(x14612,x14613,x14614))
% 28.33/28.23 [1462]~E(x14621,x14622)+E(f447(x14623,x14621,x14624),f447(x14623,x14622,x14624))
% 28.33/28.23 [1463]~E(x14631,x14632)+E(f447(x14633,x14634,x14631),f447(x14633,x14634,x14632))
% 28.33/28.23 [1464]~E(x14641,x14642)+E(f472(x14641,x14643,x14644,x14645),f472(x14642,x14643,x14644,x14645))
% 28.33/28.23 [1465]~E(x14651,x14652)+E(f472(x14653,x14651,x14654,x14655),f472(x14653,x14652,x14654,x14655))
% 28.33/28.23 [1466]~E(x14661,x14662)+E(f472(x14663,x14664,x14661,x14665),f472(x14663,x14664,x14662,x14665))
% 28.33/28.23 [1467]~E(x14671,x14672)+E(f472(x14673,x14674,x14675,x14671),f472(x14673,x14674,x14675,x14672))
% 28.33/28.23 [1468]~E(x14681,x14682)+E(f426(x14681,x14683,x14684,x14685),f426(x14682,x14683,x14684,x14685))
% 28.33/28.23 [1469]~E(x14691,x14692)+E(f426(x14693,x14691,x14694,x14695),f426(x14693,x14692,x14694,x14695))
% 28.33/28.23 [1470]~E(x14701,x14702)+E(f426(x14703,x14704,x14701,x14705),f426(x14703,x14704,x14702,x14705))
% 28.33/28.23 [1471]~E(x14711,x14712)+E(f426(x14713,x14714,x14715,x14711),f426(x14713,x14714,x14715,x14712))
% 28.33/28.23 [1472]~E(x14721,x14722)+E(f864(x14721,x14723,x14724,x14725,x14726,x14727),f864(x14722,x14723,x14724,x14725,x14726,x14727))
% 28.33/28.23 [1473]~E(x14731,x14732)+E(f864(x14733,x14731,x14734,x14735,x14736,x14737),f864(x14733,x14732,x14734,x14735,x14736,x14737))
% 28.33/28.23 [1474]~E(x14741,x14742)+E(f864(x14743,x14744,x14741,x14745,x14746,x14747),f864(x14743,x14744,x14742,x14745,x14746,x14747))
% 28.33/28.23 [1475]~E(x14751,x14752)+E(f864(x14753,x14754,x14755,x14751,x14756,x14757),f864(x14753,x14754,x14755,x14752,x14756,x14757))
% 28.33/28.23 [1476]~E(x14761,x14762)+E(f864(x14763,x14764,x14765,x14766,x14761,x14767),f864(x14763,x14764,x14765,x14766,x14762,x14767))
% 28.33/28.23 [1477]~E(x14771,x14772)+E(f864(x14773,x14774,x14775,x14776,x14777,x14771),f864(x14773,x14774,x14775,x14776,x14777,x14772))
% 28.33/28.23 [1478]~E(x14781,x14782)+E(f607(x14781,x14783),f607(x14782,x14783))
% 28.33/28.23 [1479]~E(x14791,x14792)+E(f607(x14793,x14791),f607(x14793,x14792))
% 28.33/28.23 [1480]~E(x14801,x14802)+E(f727(x14801,x14803,x14804,x14805,x14806),f727(x14802,x14803,x14804,x14805,x14806))
% 28.33/28.23 [1481]~E(x14811,x14812)+E(f727(x14813,x14811,x14814,x14815,x14816),f727(x14813,x14812,x14814,x14815,x14816))
% 28.33/28.23 [1482]~E(x14821,x14822)+E(f727(x14823,x14824,x14821,x14825,x14826),f727(x14823,x14824,x14822,x14825,x14826))
% 28.33/28.23 [1483]~E(x14831,x14832)+E(f727(x14833,x14834,x14835,x14831,x14836),f727(x14833,x14834,x14835,x14832,x14836))
% 28.33/28.23 [1484]~E(x14841,x14842)+E(f727(x14843,x14844,x14845,x14846,x14841),f727(x14843,x14844,x14845,x14846,x14842))
% 28.33/28.23 [1485]~E(x14851,x14852)+E(f794(x14851,x14853,x14854,x14855),f794(x14852,x14853,x14854,x14855))
% 28.33/28.23 [1486]~E(x14861,x14862)+E(f794(x14863,x14861,x14864,x14865),f794(x14863,x14862,x14864,x14865))
% 28.33/28.23 [1487]~E(x14871,x14872)+E(f794(x14873,x14874,x14871,x14875),f794(x14873,x14874,x14872,x14875))
% 28.33/28.23 [1488]~E(x14881,x14882)+E(f794(x14883,x14884,x14885,x14881),f794(x14883,x14884,x14885,x14882))
% 28.33/28.23 [1489]~E(x14891,x14892)+E(f429(x14891,x14893,x14894,x14895),f429(x14892,x14893,x14894,x14895))
% 28.33/28.23 [1490]~E(x14901,x14902)+E(f429(x14903,x14901,x14904,x14905),f429(x14903,x14902,x14904,x14905))
% 28.33/28.23 [1491]~E(x14911,x14912)+E(f429(x14913,x14914,x14911,x14915),f429(x14913,x14914,x14912,x14915))
% 28.33/28.23 [1492]~E(x14921,x14922)+E(f429(x14923,x14924,x14925,x14921),f429(x14923,x14924,x14925,x14922))
% 28.33/28.23 [1493]~E(x14931,x14932)+E(f637(x14931,x14933,x14934),f637(x14932,x14933,x14934))
% 28.33/28.23 [1494]~E(x14941,x14942)+E(f637(x14943,x14941,x14944),f637(x14943,x14942,x14944))
% 28.33/28.23 [1495]~E(x14951,x14952)+E(f637(x14953,x14954,x14951),f637(x14953,x14954,x14952))
% 28.33/28.23 [1496]~E(x14961,x14962)+E(f249(x14961,x14963,x14964),f249(x14962,x14963,x14964))
% 28.33/28.23 [1497]~E(x14971,x14972)+E(f249(x14973,x14971,x14974),f249(x14973,x14972,x14974))
% 28.33/28.23 [1498]~E(x14981,x14982)+E(f249(x14983,x14984,x14981),f249(x14983,x14984,x14982))
% 28.33/28.23 [1499]~E(x14991,x14992)+E(f802(x14991,x14993,x14994),f802(x14992,x14993,x14994))
% 28.33/28.23 [1500]~E(x15001,x15002)+E(f802(x15003,x15001,x15004),f802(x15003,x15002,x15004))
% 28.33/28.23 [1501]~E(x15011,x15012)+E(f802(x15013,x15014,x15011),f802(x15013,x15014,x15012))
% 28.33/28.23 [1502]~E(x15021,x15022)+E(f602(x15021,x15023,x15024),f602(x15022,x15023,x15024))
% 28.33/28.23 [1503]~E(x15031,x15032)+E(f602(x15033,x15031,x15034),f602(x15033,x15032,x15034))
% 28.33/28.23 [1504]~E(x15041,x15042)+E(f602(x15043,x15044,x15041),f602(x15043,x15044,x15042))
% 28.33/28.23 [1505]~E(x15051,x15052)+E(f484(x15051,x15053,x15054,x15055),f484(x15052,x15053,x15054,x15055))
% 28.33/28.23 [1506]~E(x15061,x15062)+E(f484(x15063,x15061,x15064,x15065),f484(x15063,x15062,x15064,x15065))
% 28.33/28.23 [1507]~E(x15071,x15072)+E(f484(x15073,x15074,x15071,x15075),f484(x15073,x15074,x15072,x15075))
% 28.33/28.23 [1508]~E(x15081,x15082)+E(f484(x15083,x15084,x15085,x15081),f484(x15083,x15084,x15085,x15082))
% 28.33/28.23 [1509]~E(x15091,x15092)+E(f554(x15091,x15093,x15094,x15095,x15096),f554(x15092,x15093,x15094,x15095,x15096))
% 28.33/28.23 [1510]~E(x15101,x15102)+E(f554(x15103,x15101,x15104,x15105,x15106),f554(x15103,x15102,x15104,x15105,x15106))
% 28.33/28.23 [1511]~E(x15111,x15112)+E(f554(x15113,x15114,x15111,x15115,x15116),f554(x15113,x15114,x15112,x15115,x15116))
% 28.33/28.23 [1512]~E(x15121,x15122)+E(f554(x15123,x15124,x15125,x15121,x15126),f554(x15123,x15124,x15125,x15122,x15126))
% 28.33/28.23 [1513]~E(x15131,x15132)+E(f554(x15133,x15134,x15135,x15136,x15131),f554(x15133,x15134,x15135,x15136,x15132))
% 28.33/28.23 [1514]~E(x15141,x15142)+E(f809(x15141,x15143,x15144,x15145),f809(x15142,x15143,x15144,x15145))
% 28.33/28.23 [1515]~E(x15151,x15152)+E(f809(x15153,x15151,x15154,x15155),f809(x15153,x15152,x15154,x15155))
% 28.33/28.23 [1516]~E(x15161,x15162)+E(f809(x15163,x15164,x15161,x15165),f809(x15163,x15164,x15162,x15165))
% 28.33/28.23 [1517]~E(x15171,x15172)+E(f809(x15173,x15174,x15175,x15171),f809(x15173,x15174,x15175,x15172))
% 28.33/28.23 [1518]~E(x15181,x15182)+E(f804(x15181,x15183,x15184,x15185),f804(x15182,x15183,x15184,x15185))
% 28.33/28.23 [1519]~E(x15191,x15192)+E(f804(x15193,x15191,x15194,x15195),f804(x15193,x15192,x15194,x15195))
% 28.33/28.23 [1520]~E(x15201,x15202)+E(f804(x15203,x15204,x15201,x15205),f804(x15203,x15204,x15202,x15205))
% 28.33/28.23 [1521]~E(x15211,x15212)+E(f804(x15213,x15214,x15215,x15211),f804(x15213,x15214,x15215,x15212))
% 28.33/28.23 [1522]~E(x15221,x15222)+E(f610(x15221,x15223),f610(x15222,x15223))
% 28.33/28.23 [1523]~E(x15231,x15232)+E(f610(x15233,x15231),f610(x15233,x15232))
% 28.33/28.23 [1524]~E(x15241,x15242)+E(f688(x15241,x15243),f688(x15242,x15243))
% 28.33/28.23 [1525]~E(x15251,x15252)+E(f688(x15253,x15251),f688(x15253,x15252))
% 28.33/28.23 [1526]~E(x15261,x15262)+E(f259(x15261,x15263,x15264,x15265),f259(x15262,x15263,x15264,x15265))
% 28.33/28.23 [1527]~E(x15271,x15272)+E(f259(x15273,x15271,x15274,x15275),f259(x15273,x15272,x15274,x15275))
% 28.33/28.23 [1528]~E(x15281,x15282)+E(f259(x15283,x15284,x15281,x15285),f259(x15283,x15284,x15282,x15285))
% 28.33/28.23 [1529]~E(x15291,x15292)+E(f259(x15293,x15294,x15295,x15291),f259(x15293,x15294,x15295,x15292))
% 28.33/28.23 [1530]~E(x15301,x15302)+E(f519(x15301,x15303),f519(x15302,x15303))
% 28.33/28.23 [1531]~E(x15311,x15312)+E(f519(x15313,x15311),f519(x15313,x15312))
% 28.33/28.23 [1532]~E(x15321,x15322)+E(f364(x15321,x15323),f364(x15322,x15323))
% 28.33/28.23 [1533]~E(x15331,x15332)+E(f364(x15333,x15331),f364(x15333,x15332))
% 28.33/28.23 [1534]~E(x15341,x15342)+E(f367(x15341,x15343),f367(x15342,x15343))
% 28.33/28.23 [1535]~E(x15351,x15352)+E(f367(x15353,x15351),f367(x15353,x15352))
% 28.33/28.23 [1536]~E(x15361,x15362)+E(f444(x15361,x15363),f444(x15362,x15363))
% 28.33/28.23 [1537]~E(x15371,x15372)+E(f444(x15373,x15371),f444(x15373,x15372))
% 28.33/28.23 [1538]~E(x15381,x15382)+E(f789(x15381,x15383,x15384,x15385,x15386,x15387),f789(x15382,x15383,x15384,x15385,x15386,x15387))
% 28.33/28.23 [1539]~E(x15391,x15392)+E(f789(x15393,x15391,x15394,x15395,x15396,x15397),f789(x15393,x15392,x15394,x15395,x15396,x15397))
% 28.33/28.23 [1540]~E(x15401,x15402)+E(f789(x15403,x15404,x15401,x15405,x15406,x15407),f789(x15403,x15404,x15402,x15405,x15406,x15407))
% 28.33/28.23 [1541]~E(x15411,x15412)+E(f789(x15413,x15414,x15415,x15411,x15416,x15417),f789(x15413,x15414,x15415,x15412,x15416,x15417))
% 28.33/28.23 [1542]~E(x15421,x15422)+E(f789(x15423,x15424,x15425,x15426,x15421,x15427),f789(x15423,x15424,x15425,x15426,x15422,x15427))
% 28.33/28.23 [1543]~E(x15431,x15432)+E(f789(x15433,x15434,x15435,x15436,x15437,x15431),f789(x15433,x15434,x15435,x15436,x15437,x15432))
% 28.33/28.23 [1544]~E(x15441,x15442)+E(f400(x15441,x15443,x15444,x15445,x15446),f400(x15442,x15443,x15444,x15445,x15446))
% 28.33/28.23 [1545]~E(x15451,x15452)+E(f400(x15453,x15451,x15454,x15455,x15456),f400(x15453,x15452,x15454,x15455,x15456))
% 28.33/28.23 [1546]~E(x15461,x15462)+E(f400(x15463,x15464,x15461,x15465,x15466),f400(x15463,x15464,x15462,x15465,x15466))
% 28.33/28.23 [1547]~E(x15471,x15472)+E(f400(x15473,x15474,x15475,x15471,x15476),f400(x15473,x15474,x15475,x15472,x15476))
% 28.33/28.23 [1548]~E(x15481,x15482)+E(f400(x15483,x15484,x15485,x15486,x15481),f400(x15483,x15484,x15485,x15486,x15482))
% 28.33/28.23 [1549]~E(x15491,x15492)+E(f468(x15491,x15493,x15494,x15495),f468(x15492,x15493,x15494,x15495))
% 28.33/28.23 [1550]~E(x15501,x15502)+E(f468(x15503,x15501,x15504,x15505),f468(x15503,x15502,x15504,x15505))
% 28.33/28.23 [1551]~E(x15511,x15512)+E(f468(x15513,x15514,x15511,x15515),f468(x15513,x15514,x15512,x15515))
% 28.33/28.23 [1552]~E(x15521,x15522)+E(f468(x15523,x15524,x15525,x15521),f468(x15523,x15524,x15525,x15522))
% 28.33/28.23 [1553]~E(x15531,x15532)+E(f813(x15531,x15533,x15534),f813(x15532,x15533,x15534))
% 28.33/28.23 [1554]~E(x15541,x15542)+E(f813(x15543,x15541,x15544),f813(x15543,x15542,x15544))
% 28.33/28.23 [1555]~E(x15551,x15552)+E(f813(x15553,x15554,x15551),f813(x15553,x15554,x15552))
% 28.33/28.23 [1556]~E(x15561,x15562)+E(f320(x15561,x15563,x15564,x15565),f320(x15562,x15563,x15564,x15565))
% 28.33/28.23 [1557]~E(x15571,x15572)+E(f320(x15573,x15571,x15574,x15575),f320(x15573,x15572,x15574,x15575))
% 28.33/28.23 [1558]~E(x15581,x15582)+E(f320(x15583,x15584,x15581,x15585),f320(x15583,x15584,x15582,x15585))
% 28.33/28.23 [1559]~E(x15591,x15592)+E(f320(x15593,x15594,x15595,x15591),f320(x15593,x15594,x15595,x15592))
% 28.33/28.23 [1560]~E(x15601,x15602)+E(f440(x15601,x15603,x15604,x15605),f440(x15602,x15603,x15604,x15605))
% 28.33/28.23 [1561]~E(x15611,x15612)+E(f440(x15613,x15611,x15614,x15615),f440(x15613,x15612,x15614,x15615))
% 28.33/28.23 [1562]~E(x15621,x15622)+E(f440(x15623,x15624,x15621,x15625),f440(x15623,x15624,x15622,x15625))
% 28.33/28.23 [1563]~E(x15631,x15632)+E(f440(x15633,x15634,x15635,x15631),f440(x15633,x15634,x15635,x15632))
% 28.33/28.23 [1564]~E(x15641,x15642)+E(f269(x15641,x15643,x15644),f269(x15642,x15643,x15644))
% 28.33/28.23 [1565]~E(x15651,x15652)+E(f269(x15653,x15651,x15654),f269(x15653,x15652,x15654))
% 28.33/28.23 [1566]~E(x15661,x15662)+E(f269(x15663,x15664,x15661),f269(x15663,x15664,x15662))
% 28.33/28.23 [1567]~E(x15671,x15672)+E(f879(x15671,x15673,x15674,x15675),f879(x15672,x15673,x15674,x15675))
% 28.33/28.23 [1568]~E(x15681,x15682)+E(f879(x15683,x15681,x15684,x15685),f879(x15683,x15682,x15684,x15685))
% 28.33/28.23 [1569]~E(x15691,x15692)+E(f879(x15693,x15694,x15691,x15695),f879(x15693,x15694,x15692,x15695))
% 28.33/28.23 [1570]~E(x15701,x15702)+E(f879(x15703,x15704,x15705,x15701),f879(x15703,x15704,x15705,x15702))
% 28.33/28.23 [1571]~E(x15711,x15712)+E(f410(x15711,x15713,x15714),f410(x15712,x15713,x15714))
% 28.33/28.23 [1572]~E(x15721,x15722)+E(f410(x15723,x15721,x15724),f410(x15723,x15722,x15724))
% 28.33/28.23 [1573]~E(x15731,x15732)+E(f410(x15733,x15734,x15731),f410(x15733,x15734,x15732))
% 28.33/28.23 [1574]~E(x15741,x15742)+E(f226(x15741,x15743,x15744),f226(x15742,x15743,x15744))
% 28.33/28.23 [1575]~E(x15751,x15752)+E(f226(x15753,x15751,x15754),f226(x15753,x15752,x15754))
% 28.33/28.23 [1576]~E(x15761,x15762)+E(f226(x15763,x15764,x15761),f226(x15763,x15764,x15762))
% 28.33/28.23 [1577]~E(x15771,x15772)+E(f645(x15771,x15773,x15774,x15775),f645(x15772,x15773,x15774,x15775))
% 28.33/28.23 [1578]~E(x15781,x15782)+E(f645(x15783,x15781,x15784,x15785),f645(x15783,x15782,x15784,x15785))
% 28.33/28.23 [1579]~E(x15791,x15792)+E(f645(x15793,x15794,x15791,x15795),f645(x15793,x15794,x15792,x15795))
% 28.33/28.23 [1580]~E(x15801,x15802)+E(f645(x15803,x15804,x15805,x15801),f645(x15803,x15804,x15805,x15802))
% 28.33/28.23 [1581]~E(x15811,x15812)+E(f737(x15811,x15813,x15814),f737(x15812,x15813,x15814))
% 28.33/28.23 [1582]~E(x15821,x15822)+E(f737(x15823,x15821,x15824),f737(x15823,x15822,x15824))
% 28.33/28.23 [1583]~E(x15831,x15832)+E(f737(x15833,x15834,x15831),f737(x15833,x15834,x15832))
% 28.33/28.23 [1584]~E(x15841,x15842)+E(f706(x15841,x15843,x15844,x15845,x15846),f706(x15842,x15843,x15844,x15845,x15846))
% 28.33/28.23 [1585]~E(x15851,x15852)+E(f706(x15853,x15851,x15854,x15855,x15856),f706(x15853,x15852,x15854,x15855,x15856))
% 28.33/28.23 [1586]~E(x15861,x15862)+E(f706(x15863,x15864,x15861,x15865,x15866),f706(x15863,x15864,x15862,x15865,x15866))
% 28.33/28.23 [1587]~E(x15871,x15872)+E(f706(x15873,x15874,x15875,x15871,x15876),f706(x15873,x15874,x15875,x15872,x15876))
% 28.33/28.23 [1588]~E(x15881,x15882)+E(f706(x15883,x15884,x15885,x15886,x15881),f706(x15883,x15884,x15885,x15886,x15882))
% 28.33/28.23 [1589]~E(x15891,x15892)+E(f820(x15891,x15893,x15894),f820(x15892,x15893,x15894))
% 28.33/28.23 [1590]~E(x15901,x15902)+E(f820(x15903,x15901,x15904),f820(x15903,x15902,x15904))
% 28.33/28.23 [1591]~E(x15911,x15912)+E(f820(x15913,x15914,x15911),f820(x15913,x15914,x15912))
% 28.33/28.23 [1592]~E(x15921,x15922)+E(f638(x15921,x15923,x15924),f638(x15922,x15923,x15924))
% 28.33/28.23 [1593]~E(x15931,x15932)+E(f638(x15933,x15931,x15934),f638(x15933,x15932,x15934))
% 28.33/28.23 [1594]~E(x15941,x15942)+E(f638(x15943,x15944,x15941),f638(x15943,x15944,x15942))
% 28.33/28.23 [1595]~E(x15951,x15952)+E(f359(x15951,x15953,x15954),f359(x15952,x15953,x15954))
% 28.33/28.23 [1596]~E(x15961,x15962)+E(f359(x15963,x15961,x15964),f359(x15963,x15962,x15964))
% 28.33/28.23 [1597]~E(x15971,x15972)+E(f359(x15973,x15974,x15971),f359(x15973,x15974,x15972))
% 28.33/28.23 [1598]~E(x15981,x15982)+E(f571(x15981,x15983,x15984,x15985),f571(x15982,x15983,x15984,x15985))
% 28.33/28.23 [1599]~E(x15991,x15992)+E(f571(x15993,x15991,x15994,x15995),f571(x15993,x15992,x15994,x15995))
% 28.33/28.23 [1600]~E(x16001,x16002)+E(f571(x16003,x16004,x16001,x16005),f571(x16003,x16004,x16002,x16005))
% 28.33/28.23 [1601]~E(x16011,x16012)+E(f571(x16013,x16014,x16015,x16011),f571(x16013,x16014,x16015,x16012))
% 28.33/28.23 [1602]~E(x16021,x16022)+E(f578(x16021,x16023,x16024),f578(x16022,x16023,x16024))
% 28.33/28.23 [1603]~E(x16031,x16032)+E(f578(x16033,x16031,x16034),f578(x16033,x16032,x16034))
% 28.33/28.23 [1604]~E(x16041,x16042)+E(f578(x16043,x16044,x16041),f578(x16043,x16044,x16042))
% 28.33/28.23 [1605]~E(x16051,x16052)+E(f362(x16051,x16053,x16054,x16055),f362(x16052,x16053,x16054,x16055))
% 28.33/28.23 [1606]~E(x16061,x16062)+E(f362(x16063,x16061,x16064,x16065),f362(x16063,x16062,x16064,x16065))
% 28.33/28.23 [1607]~E(x16071,x16072)+E(f362(x16073,x16074,x16071,x16075),f362(x16073,x16074,x16072,x16075))
% 28.33/28.23 [1608]~E(x16081,x16082)+E(f362(x16083,x16084,x16085,x16081),f362(x16083,x16084,x16085,x16082))
% 28.33/28.23 [1609]~E(x16091,x16092)+E(f722(x16091,x16093,x16094,x16095,x16096),f722(x16092,x16093,x16094,x16095,x16096))
% 28.33/28.23 [1610]~E(x16101,x16102)+E(f722(x16103,x16101,x16104,x16105,x16106),f722(x16103,x16102,x16104,x16105,x16106))
% 28.33/28.23 [1611]~E(x16111,x16112)+E(f722(x16113,x16114,x16111,x16115,x16116),f722(x16113,x16114,x16112,x16115,x16116))
% 28.33/28.23 [1612]~E(x16121,x16122)+E(f722(x16123,x16124,x16125,x16121,x16126),f722(x16123,x16124,x16125,x16122,x16126))
% 28.33/28.23 [1613]~E(x16131,x16132)+E(f722(x16133,x16134,x16135,x16136,x16131),f722(x16133,x16134,x16135,x16136,x16132))
% 28.33/28.23 [1614]~E(x16141,x16142)+E(f603(x16141,x16143,x16144),f603(x16142,x16143,x16144))
% 28.33/28.24 [1615]~E(x16151,x16152)+E(f603(x16153,x16151,x16154),f603(x16153,x16152,x16154))
% 28.33/28.24 [1616]~E(x16161,x16162)+E(f603(x16163,x16164,x16161),f603(x16163,x16164,x16162))
% 28.33/28.24 [1617]~E(x16171,x16172)+E(f886(x16171,x16173,x16174),f886(x16172,x16173,x16174))
% 28.33/28.24 [1618]~E(x16181,x16182)+E(f886(x16183,x16181,x16184),f886(x16183,x16182,x16184))
% 28.33/28.24 [1619]~E(x16191,x16192)+E(f886(x16193,x16194,x16191),f886(x16193,x16194,x16192))
% 28.33/28.24 [1620]~E(x16201,x16202)+E(f748(x16201,x16203,x16204),f748(x16202,x16203,x16204))
% 28.33/28.24 [1621]~E(x16211,x16212)+E(f748(x16213,x16211,x16214),f748(x16213,x16212,x16214))
% 28.33/28.24 [1622]~E(x16221,x16222)+E(f748(x16223,x16224,x16221),f748(x16223,x16224,x16222))
% 28.33/28.24 [1623]~E(x16231,x16232)+E(f392(x16231,x16233,x16234,x16235),f392(x16232,x16233,x16234,x16235))
% 28.33/28.24 [1624]~E(x16241,x16242)+E(f392(x16243,x16241,x16244,x16245),f392(x16243,x16242,x16244,x16245))
% 28.33/28.24 [1625]~E(x16251,x16252)+E(f392(x16253,x16254,x16251,x16255),f392(x16253,x16254,x16252,x16255))
% 28.33/28.24 [1626]~E(x16261,x16262)+E(f392(x16263,x16264,x16265,x16261),f392(x16263,x16264,x16265,x16262))
% 28.33/28.24 [1627]~E(x16271,x16272)+E(f232(x16271,x16273,x16274),f232(x16272,x16273,x16274))
% 28.33/28.24 [1628]~E(x16281,x16282)+E(f232(x16283,x16281,x16284),f232(x16283,x16282,x16284))
% 28.33/28.24 [1629]~E(x16291,x16292)+E(f232(x16293,x16294,x16291),f232(x16293,x16294,x16292))
% 28.33/28.24 [1630]~E(x16301,x16302)+E(f412(x16301,x16303,x16304),f412(x16302,x16303,x16304))
% 28.33/28.24 [1631]~E(x16311,x16312)+E(f412(x16313,x16311,x16314),f412(x16313,x16312,x16314))
% 28.33/28.24 [1632]~E(x16321,x16322)+E(f412(x16323,x16324,x16321),f412(x16323,x16324,x16322))
% 28.33/28.24 [1633]~E(x16331,x16332)+E(f425(x16331,x16333,x16334,x16335,x16336),f425(x16332,x16333,x16334,x16335,x16336))
% 28.33/28.24 [1634]~E(x16341,x16342)+E(f425(x16343,x16341,x16344,x16345,x16346),f425(x16343,x16342,x16344,x16345,x16346))
% 28.33/28.24 [1635]~E(x16351,x16352)+E(f425(x16353,x16354,x16351,x16355,x16356),f425(x16353,x16354,x16352,x16355,x16356))
% 28.33/28.24 [1636]~E(x16361,x16362)+E(f425(x16363,x16364,x16365,x16361,x16366),f425(x16363,x16364,x16365,x16362,x16366))
% 28.33/28.24 [1637]~E(x16371,x16372)+E(f425(x16373,x16374,x16375,x16376,x16371),f425(x16373,x16374,x16375,x16376,x16372))
% 28.33/28.24 [1638]~E(x16381,x16382)+E(f126(x16381),f126(x16382))
% 28.33/28.24 [1639]~E(x16391,x16392)+E(f877(x16391,x16393,x16394),f877(x16392,x16393,x16394))
% 28.33/28.24 [1640]~E(x16401,x16402)+E(f877(x16403,x16401,x16404),f877(x16403,x16402,x16404))
% 28.33/28.24 [1641]~E(x16411,x16412)+E(f877(x16413,x16414,x16411),f877(x16413,x16414,x16412))
% 28.33/28.24 [1642]~E(x16421,x16422)+E(f778(x16421,x16423),f778(x16422,x16423))
% 28.33/28.24 [1643]~E(x16431,x16432)+E(f778(x16433,x16431),f778(x16433,x16432))
% 28.33/28.24 [1644]~E(x16441,x16442)+E(f493(x16441,x16443,x16444,x16445,x16446),f493(x16442,x16443,x16444,x16445,x16446))
% 28.33/28.24 [1645]~E(x16451,x16452)+E(f493(x16453,x16451,x16454,x16455,x16456),f493(x16453,x16452,x16454,x16455,x16456))
% 28.33/28.24 [1646]~E(x16461,x16462)+E(f493(x16463,x16464,x16461,x16465,x16466),f493(x16463,x16464,x16462,x16465,x16466))
% 28.33/28.24 [1647]~E(x16471,x16472)+E(f493(x16473,x16474,x16475,x16471,x16476),f493(x16473,x16474,x16475,x16472,x16476))
% 28.33/28.24 [1648]~E(x16481,x16482)+E(f493(x16483,x16484,x16485,x16486,x16481),f493(x16483,x16484,x16485,x16486,x16482))
% 28.33/28.24 [1649]~E(x16491,x16492)+E(f764(x16491,x16493,x16494,x16495,x16496,x16497,x16498,x16499),f764(x16492,x16493,x16494,x16495,x16496,x16497,x16498,x16499))
% 28.33/28.24 [1650]~E(x16501,x16502)+E(f764(x16503,x16501,x16504,x16505,x16506,x16507,x16508,x16509),f764(x16503,x16502,x16504,x16505,x16506,x16507,x16508,x16509))
% 28.33/28.24 [1651]~E(x16511,x16512)+E(f764(x16513,x16514,x16511,x16515,x16516,x16517,x16518,x16519),f764(x16513,x16514,x16512,x16515,x16516,x16517,x16518,x16519))
% 28.33/28.24 [1652]~E(x16521,x16522)+E(f764(x16523,x16524,x16525,x16521,x16526,x16527,x16528,x16529),f764(x16523,x16524,x16525,x16522,x16526,x16527,x16528,x16529))
% 28.33/28.24 [1653]~E(x16531,x16532)+E(f764(x16533,x16534,x16535,x16536,x16531,x16537,x16538,x16539),f764(x16533,x16534,x16535,x16536,x16532,x16537,x16538,x16539))
% 28.33/28.24 [1654]~E(x16541,x16542)+E(f764(x16543,x16544,x16545,x16546,x16547,x16541,x16548,x16549),f764(x16543,x16544,x16545,x16546,x16547,x16542,x16548,x16549))
% 28.33/28.24 [1655]~E(x16551,x16552)+E(f764(x16553,x16554,x16555,x16556,x16557,x16558,x16551,x16559),f764(x16553,x16554,x16555,x16556,x16557,x16558,x16552,x16559))
% 28.33/28.24 [1656]~E(x16561,x16562)+E(f764(x16563,x16564,x16565,x16566,x16567,x16568,x16569,x16561),f764(x16563,x16564,x16565,x16566,x16567,x16568,x16569,x16562))
% 28.33/28.24 [1657]~E(x16571,x16572)+E(f469(x16571,x16573,x16574,x16575),f469(x16572,x16573,x16574,x16575))
% 28.33/28.24 [1658]~E(x16581,x16582)+E(f469(x16583,x16581,x16584,x16585),f469(x16583,x16582,x16584,x16585))
% 28.33/28.24 [1659]~E(x16591,x16592)+E(f469(x16593,x16594,x16591,x16595),f469(x16593,x16594,x16592,x16595))
% 28.33/28.24 [1660]~E(x16601,x16602)+E(f469(x16603,x16604,x16605,x16601),f469(x16603,x16604,x16605,x16602))
% 28.33/28.24 [1661]~E(x16611,x16612)+E(f689(x16611,x16613),f689(x16612,x16613))
% 28.33/28.24 [1662]~E(x16621,x16622)+E(f689(x16623,x16621),f689(x16623,x16622))
% 28.33/28.24 [1663]~E(x16631,x16632)+E(f293(x16631,x16633),f293(x16632,x16633))
% 28.33/28.24 [1664]~E(x16641,x16642)+E(f293(x16643,x16641),f293(x16643,x16642))
% 28.33/28.24 [1665]~E(x16651,x16652)+E(f498(x16651,x16653,x16654,x16655,x16656),f498(x16652,x16653,x16654,x16655,x16656))
% 28.33/28.24 [1666]~E(x16661,x16662)+E(f498(x16663,x16661,x16664,x16665,x16666),f498(x16663,x16662,x16664,x16665,x16666))
% 28.33/28.24 [1667]~E(x16671,x16672)+E(f498(x16673,x16674,x16671,x16675,x16676),f498(x16673,x16674,x16672,x16675,x16676))
% 28.33/28.24 [1668]~E(x16681,x16682)+E(f498(x16683,x16684,x16685,x16681,x16686),f498(x16683,x16684,x16685,x16682,x16686))
% 28.33/28.24 [1669]~E(x16691,x16692)+E(f498(x16693,x16694,x16695,x16696,x16691),f498(x16693,x16694,x16695,x16696,x16692))
% 28.33/28.24 [1670]~E(x16701,x16702)+E(f660(x16701,x16703,x16704),f660(x16702,x16703,x16704))
% 28.33/28.24 [1671]~E(x16711,x16712)+E(f660(x16713,x16711,x16714),f660(x16713,x16712,x16714))
% 28.33/28.24 [1672]~E(x16721,x16722)+E(f660(x16723,x16724,x16721),f660(x16723,x16724,x16722))
% 28.33/28.24 [1673]~E(x16731,x16732)+E(f44(x16731),f44(x16732))
% 28.33/28.24 [1674]~E(x16741,x16742)+E(f235(x16741,x16743,x16744,x16745),f235(x16742,x16743,x16744,x16745))
% 28.33/28.24 [1675]~E(x16751,x16752)+E(f235(x16753,x16751,x16754,x16755),f235(x16753,x16752,x16754,x16755))
% 28.33/28.24 [1676]~E(x16761,x16762)+E(f235(x16763,x16764,x16761,x16765),f235(x16763,x16764,x16762,x16765))
% 28.33/28.24 [1677]~E(x16771,x16772)+E(f235(x16773,x16774,x16775,x16771),f235(x16773,x16774,x16775,x16772))
% 28.33/28.24 [1678]~E(x16781,x16782)+E(f567(x16781,x16783,x16784,x16785),f567(x16782,x16783,x16784,x16785))
% 28.33/28.24 [1679]~E(x16791,x16792)+E(f567(x16793,x16791,x16794,x16795),f567(x16793,x16792,x16794,x16795))
% 28.33/28.24 [1680]~E(x16801,x16802)+E(f567(x16803,x16804,x16801,x16805),f567(x16803,x16804,x16802,x16805))
% 28.33/28.24 [1681]~E(x16811,x16812)+E(f567(x16813,x16814,x16815,x16811),f567(x16813,x16814,x16815,x16812))
% 28.33/28.24 [1682]~E(x16821,x16822)+E(f252(x16821,x16823),f252(x16822,x16823))
% 28.33/28.24 [1683]~E(x16831,x16832)+E(f252(x16833,x16831),f252(x16833,x16832))
% 28.33/28.24 [1684]~E(x16841,x16842)+E(f56(x16841,x16843),f56(x16842,x16843))
% 28.33/28.24 [1685]~E(x16851,x16852)+E(f56(x16853,x16851),f56(x16853,x16852))
% 28.33/28.24 [1686]~E(x16861,x16862)+E(f523(x16861,x16863),f523(x16862,x16863))
% 28.33/28.24 [1687]~E(x16871,x16872)+E(f523(x16873,x16871),f523(x16873,x16872))
% 28.33/28.24 [1688]~E(x16881,x16882)+E(f750(x16881,x16883,x16884),f750(x16882,x16883,x16884))
% 28.33/28.24 [1689]~E(x16891,x16892)+E(f750(x16893,x16891,x16894),f750(x16893,x16892,x16894))
% 28.33/28.24 [1690]~E(x16901,x16902)+E(f750(x16903,x16904,x16901),f750(x16903,x16904,x16902))
% 28.33/28.24 [1691]~E(x16911,x16912)+E(f199(x16911,x16913,x16914,x16915),f199(x16912,x16913,x16914,x16915))
% 28.33/28.24 [1692]~E(x16921,x16922)+E(f199(x16923,x16921,x16924,x16925),f199(x16923,x16922,x16924,x16925))
% 28.33/28.24 [1693]~E(x16931,x16932)+E(f199(x16933,x16934,x16931,x16935),f199(x16933,x16934,x16932,x16935))
% 28.33/28.24 [1694]~E(x16941,x16942)+E(f199(x16943,x16944,x16945,x16941),f199(x16943,x16944,x16945,x16942))
% 28.33/28.24 [1695]~E(x16951,x16952)+E(f452(x16951,x16953,x16954,x16955),f452(x16952,x16953,x16954,x16955))
% 28.33/28.24 [1696]~E(x16961,x16962)+E(f452(x16963,x16961,x16964,x16965),f452(x16963,x16962,x16964,x16965))
% 28.33/28.24 [1697]~E(x16971,x16972)+E(f452(x16973,x16974,x16971,x16975),f452(x16973,x16974,x16972,x16975))
% 28.33/28.24 [1698]~E(x16981,x16982)+E(f452(x16983,x16984,x16985,x16981),f452(x16983,x16984,x16985,x16982))
% 28.33/28.24 [1699]~E(x16991,x16992)+E(f515(x16991,x16993,x16994,x16995,x16996),f515(x16992,x16993,x16994,x16995,x16996))
% 28.33/28.24 [1700]~E(x17001,x17002)+E(f515(x17003,x17001,x17004,x17005,x17006),f515(x17003,x17002,x17004,x17005,x17006))
% 28.33/28.24 [1701]~E(x17011,x17012)+E(f515(x17013,x17014,x17011,x17015,x17016),f515(x17013,x17014,x17012,x17015,x17016))
% 28.33/28.24 [1702]~E(x17021,x17022)+E(f515(x17023,x17024,x17025,x17021,x17026),f515(x17023,x17024,x17025,x17022,x17026))
% 28.33/28.24 [1703]~E(x17031,x17032)+E(f515(x17033,x17034,x17035,x17036,x17031),f515(x17033,x17034,x17035,x17036,x17032))
% 28.33/28.24 [1704]~E(x17041,x17042)+E(f127(x17041),f127(x17042))
% 28.33/28.24 [1705]~E(x17051,x17052)+E(f464(x17051,x17053,x17054,x17055),f464(x17052,x17053,x17054,x17055))
% 28.33/28.24 [1706]~E(x17061,x17062)+E(f464(x17063,x17061,x17064,x17065),f464(x17063,x17062,x17064,x17065))
% 28.33/28.24 [1707]~E(x17071,x17072)+E(f464(x17073,x17074,x17071,x17075),f464(x17073,x17074,x17072,x17075))
% 28.33/28.24 [1708]~E(x17081,x17082)+E(f464(x17083,x17084,x17085,x17081),f464(x17083,x17084,x17085,x17082))
% 28.33/28.24 [1709]~E(x17091,x17092)+E(f855(x17091,x17093,x17094),f855(x17092,x17093,x17094))
% 28.33/28.24 [1710]~E(x17101,x17102)+E(f855(x17103,x17101,x17104),f855(x17103,x17102,x17104))
% 28.33/28.24 [1711]~E(x17111,x17112)+E(f855(x17113,x17114,x17111),f855(x17113,x17114,x17112))
% 28.33/28.24 [1712]~E(x17121,x17122)+E(f137(x17121),f137(x17122))
% 28.33/28.24 [1713]~E(x17131,x17132)+E(f313(x17131,x17133),f313(x17132,x17133))
% 28.33/28.24 [1714]~E(x17141,x17142)+E(f313(x17143,x17141),f313(x17143,x17142))
% 28.33/28.24 [1715]~E(x17151,x17152)+E(f337(x17151,x17153,x17154,x17155),f337(x17152,x17153,x17154,x17155))
% 28.33/28.24 [1716]~E(x17161,x17162)+E(f337(x17163,x17161,x17164,x17165),f337(x17163,x17162,x17164,x17165))
% 28.33/28.24 [1717]~E(x17171,x17172)+E(f337(x17173,x17174,x17171,x17175),f337(x17173,x17174,x17172,x17175))
% 28.33/28.24 [1718]~E(x17181,x17182)+E(f337(x17183,x17184,x17185,x17181),f337(x17183,x17184,x17185,x17182))
% 28.33/28.24 [1719]~E(x17191,x17192)+E(f445(x17191,x17193),f445(x17192,x17193))
% 28.33/28.24 [1720]~E(x17201,x17202)+E(f445(x17203,x17201),f445(x17203,x17202))
% 28.33/28.24 [1721]~E(x17211,x17212)+E(f593(x17211,x17213,x17214,x17215),f593(x17212,x17213,x17214,x17215))
% 28.33/28.24 [1722]~E(x17221,x17222)+E(f593(x17223,x17221,x17224,x17225),f593(x17223,x17222,x17224,x17225))
% 28.33/28.24 [1723]~E(x17231,x17232)+E(f593(x17233,x17234,x17231,x17235),f593(x17233,x17234,x17232,x17235))
% 28.33/28.24 [1724]~E(x17241,x17242)+E(f593(x17243,x17244,x17245,x17241),f593(x17243,x17244,x17245,x17242))
% 28.33/28.24 [1725]~E(x17251,x17252)+E(f800(x17251,x17253,x17254),f800(x17252,x17253,x17254))
% 28.33/28.24 [1726]~E(x17261,x17262)+E(f800(x17263,x17261,x17264),f800(x17263,x17262,x17264))
% 28.33/28.24 [1727]~E(x17271,x17272)+E(f800(x17273,x17274,x17271),f800(x17273,x17274,x17272))
% 28.33/28.24 [1728]~E(x17281,x17282)+E(f786(x17281,x17283,x17284,x17285),f786(x17282,x17283,x17284,x17285))
% 28.33/28.24 [1729]~E(x17291,x17292)+E(f786(x17293,x17291,x17294,x17295),f786(x17293,x17292,x17294,x17295))
% 28.33/28.24 [1730]~E(x17301,x17302)+E(f786(x17303,x17304,x17301,x17305),f786(x17303,x17304,x17302,x17305))
% 28.33/28.24 [1731]~E(x17311,x17312)+E(f786(x17313,x17314,x17315,x17311),f786(x17313,x17314,x17315,x17312))
% 28.33/28.24 [1732]~E(x17321,x17322)+E(f271(x17321),f271(x17322))
% 28.33/28.24 [1733]~E(x17331,x17332)+E(f803(x17331,x17333,x17334,x17335,x17336),f803(x17332,x17333,x17334,x17335,x17336))
% 28.33/28.24 [1734]~E(x17341,x17342)+E(f803(x17343,x17341,x17344,x17345,x17346),f803(x17343,x17342,x17344,x17345,x17346))
% 28.33/28.24 [1735]~E(x17351,x17352)+E(f803(x17353,x17354,x17351,x17355,x17356),f803(x17353,x17354,x17352,x17355,x17356))
% 28.33/28.24 [1736]~E(x17361,x17362)+E(f803(x17363,x17364,x17365,x17361,x17366),f803(x17363,x17364,x17365,x17362,x17366))
% 28.33/28.24 [1737]~E(x17371,x17372)+E(f803(x17373,x17374,x17375,x17376,x17371),f803(x17373,x17374,x17375,x17376,x17372))
% 28.33/28.24 [1738]~E(x17381,x17382)+E(f616(x17381,x17383,x17384,x17385,x17386),f616(x17382,x17383,x17384,x17385,x17386))
% 28.33/28.24 [1739]~E(x17391,x17392)+E(f616(x17393,x17391,x17394,x17395,x17396),f616(x17393,x17392,x17394,x17395,x17396))
% 28.33/28.24 [1740]~E(x17401,x17402)+E(f616(x17403,x17404,x17401,x17405,x17406),f616(x17403,x17404,x17402,x17405,x17406))
% 28.33/28.24 [1741]~E(x17411,x17412)+E(f616(x17413,x17414,x17415,x17411,x17416),f616(x17413,x17414,x17415,x17412,x17416))
% 28.33/28.24 [1742]~E(x17421,x17422)+E(f616(x17423,x17424,x17425,x17426,x17421),f616(x17423,x17424,x17425,x17426,x17422))
% 28.33/28.24 [1743]~E(x17431,x17432)+E(f785(x17431,x17433,x17434,x17435,x17436,x17437),f785(x17432,x17433,x17434,x17435,x17436,x17437))
% 28.33/28.24 [1744]~E(x17441,x17442)+E(f785(x17443,x17441,x17444,x17445,x17446,x17447),f785(x17443,x17442,x17444,x17445,x17446,x17447))
% 28.33/28.24 [1745]~E(x17451,x17452)+E(f785(x17453,x17454,x17451,x17455,x17456,x17457),f785(x17453,x17454,x17452,x17455,x17456,x17457))
% 28.33/28.24 [1746]~E(x17461,x17462)+E(f785(x17463,x17464,x17465,x17461,x17466,x17467),f785(x17463,x17464,x17465,x17462,x17466,x17467))
% 28.33/28.24 [1747]~E(x17471,x17472)+E(f785(x17473,x17474,x17475,x17476,x17471,x17477),f785(x17473,x17474,x17475,x17476,x17472,x17477))
% 28.33/28.24 [1748]~E(x17481,x17482)+E(f785(x17483,x17484,x17485,x17486,x17487,x17481),f785(x17483,x17484,x17485,x17486,x17487,x17482))
% 28.33/28.24 [1749]~E(x17491,x17492)+E(f209(x17491,x17493,x17494,x17495),f209(x17492,x17493,x17494,x17495))
% 28.33/28.24 [1750]~E(x17501,x17502)+E(f209(x17503,x17501,x17504,x17505),f209(x17503,x17502,x17504,x17505))
% 28.33/28.24 [1751]~E(x17511,x17512)+E(f209(x17513,x17514,x17511,x17515),f209(x17513,x17514,x17512,x17515))
% 28.33/28.24 [1752]~E(x17521,x17522)+E(f209(x17523,x17524,x17525,x17521),f209(x17523,x17524,x17525,x17522))
% 28.33/28.24 [1753]~E(x17531,x17532)+E(f562(x17531,x17533,x17534,x17535,x17536),f562(x17532,x17533,x17534,x17535,x17536))
% 28.33/28.24 [1754]~E(x17541,x17542)+E(f562(x17543,x17541,x17544,x17545,x17546),f562(x17543,x17542,x17544,x17545,x17546))
% 28.33/28.24 [1755]~E(x17551,x17552)+E(f562(x17553,x17554,x17551,x17555,x17556),f562(x17553,x17554,x17552,x17555,x17556))
% 28.33/28.24 [1756]~E(x17561,x17562)+E(f562(x17563,x17564,x17565,x17561,x17566),f562(x17563,x17564,x17565,x17562,x17566))
% 28.33/28.24 [1757]~E(x17571,x17572)+E(f562(x17573,x17574,x17575,x17576,x17571),f562(x17573,x17574,x17575,x17576,x17572))
% 28.33/28.24 [1758]~E(x17581,x17582)+E(f708(x17581),f708(x17582))
% 28.33/28.24 [1759]~E(x17591,x17592)+E(f456(x17591,x17593),f456(x17592,x17593))
% 28.33/28.24 [1760]~E(x17601,x17602)+E(f456(x17603,x17601),f456(x17603,x17602))
% 28.33/28.24 [1761]~E(x17611,x17612)+E(f755(x17611,x17613),f755(x17612,x17613))
% 28.33/28.24 [1762]~E(x17621,x17622)+E(f755(x17623,x17621),f755(x17623,x17622))
% 28.33/28.24 [1763]~E(x17631,x17632)+E(f130(x17631,x17633,x17634,x17635,x17636),f130(x17632,x17633,x17634,x17635,x17636))
% 28.33/28.24 [1764]~E(x17641,x17642)+E(f130(x17643,x17641,x17644,x17645,x17646),f130(x17643,x17642,x17644,x17645,x17646))
% 28.33/28.24 [1765]~E(x17651,x17652)+E(f130(x17653,x17654,x17651,x17655,x17656),f130(x17653,x17654,x17652,x17655,x17656))
% 28.33/28.24 [1766]~E(x17661,x17662)+E(f130(x17663,x17664,x17665,x17661,x17666),f130(x17663,x17664,x17665,x17662,x17666))
% 28.33/28.24 [1767]~E(x17671,x17672)+E(f130(x17673,x17674,x17675,x17676,x17671),f130(x17673,x17674,x17675,x17676,x17672))
% 28.33/28.24 [1768]~E(x17681,x17682)+E(f419(x17681,x17683,x17684),f419(x17682,x17683,x17684))
% 28.33/28.24 [1769]~E(x17691,x17692)+E(f419(x17693,x17691,x17694),f419(x17693,x17692,x17694))
% 28.33/28.24 [1770]~E(x17701,x17702)+E(f419(x17703,x17704,x17701),f419(x17703,x17704,x17702))
% 28.33/28.24 [1771]~E(x17711,x17712)+E(f566(x17711,x17713,x17714,x17715),f566(x17712,x17713,x17714,x17715))
% 28.33/28.24 [1772]~E(x17721,x17722)+E(f566(x17723,x17721,x17724,x17725),f566(x17723,x17722,x17724,x17725))
% 28.33/28.24 [1773]~E(x17731,x17732)+E(f566(x17733,x17734,x17731,x17735),f566(x17733,x17734,x17732,x17735))
% 28.33/28.24 [1774]~E(x17741,x17742)+E(f566(x17743,x17744,x17745,x17741),f566(x17743,x17744,x17745,x17742))
% 28.33/28.24 [1775]~E(x17751,x17752)+E(f866(x17751,x17753,x17754),f866(x17752,x17753,x17754))
% 28.33/28.24 [1776]~E(x17761,x17762)+E(f866(x17763,x17761,x17764),f866(x17763,x17762,x17764))
% 28.33/28.24 [1777]~E(x17771,x17772)+E(f866(x17773,x17774,x17771),f866(x17773,x17774,x17772))
% 28.33/28.24 [1778]~E(x17781,x17782)+E(f822(x17781,x17783),f822(x17782,x17783))
% 28.33/28.24 [1779]~E(x17791,x17792)+E(f822(x17793,x17791),f822(x17793,x17792))
% 28.33/28.24 [1780]~E(x17801,x17802)+E(f535(x17801,x17803,x17804),f535(x17802,x17803,x17804))
% 28.33/28.24 [1781]~E(x17811,x17812)+E(f535(x17813,x17811,x17814),f535(x17813,x17812,x17814))
% 28.33/28.24 [1782]~E(x17821,x17822)+E(f535(x17823,x17824,x17821),f535(x17823,x17824,x17822))
% 28.33/28.24 [1783]~E(x17831,x17832)+E(f788(x17831,x17833,x17834,x17835,x17836,x17837),f788(x17832,x17833,x17834,x17835,x17836,x17837))
% 28.33/28.24 [1784]~E(x17841,x17842)+E(f788(x17843,x17841,x17844,x17845,x17846,x17847),f788(x17843,x17842,x17844,x17845,x17846,x17847))
% 28.33/28.24 [1785]~E(x17851,x17852)+E(f788(x17853,x17854,x17851,x17855,x17856,x17857),f788(x17853,x17854,x17852,x17855,x17856,x17857))
% 28.33/28.24 [1786]~E(x17861,x17862)+E(f788(x17863,x17864,x17865,x17861,x17866,x17867),f788(x17863,x17864,x17865,x17862,x17866,x17867))
% 28.33/28.24 [1787]~E(x17871,x17872)+E(f788(x17873,x17874,x17875,x17876,x17871,x17877),f788(x17873,x17874,x17875,x17876,x17872,x17877))
% 28.33/28.24 [1788]~E(x17881,x17882)+E(f788(x17883,x17884,x17885,x17886,x17887,x17881),f788(x17883,x17884,x17885,x17886,x17887,x17882))
% 28.33/28.24 [1789]~E(x17891,x17892)+E(f376(x17891,x17893,x17894,x17895),f376(x17892,x17893,x17894,x17895))
% 28.33/28.24 [1790]~E(x17901,x17902)+E(f376(x17903,x17901,x17904,x17905),f376(x17903,x17902,x17904,x17905))
% 28.33/28.24 [1791]~E(x17911,x17912)+E(f376(x17913,x17914,x17911,x17915),f376(x17913,x17914,x17912,x17915))
% 28.33/28.24 [1792]~E(x17921,x17922)+E(f376(x17923,x17924,x17925,x17921),f376(x17923,x17924,x17925,x17922))
% 28.33/28.24 [1793]~E(x17931,x17932)+E(f667(x17931,x17933),f667(x17932,x17933))
% 28.33/28.24 [1794]~E(x17941,x17942)+E(f667(x17943,x17941),f667(x17943,x17942))
% 28.33/28.24 [1795]~E(x17951,x17952)+E(f233(x17951,x17953,x17954,x17955),f233(x17952,x17953,x17954,x17955))
% 28.33/28.24 [1796]~E(x17961,x17962)+E(f233(x17963,x17961,x17964,x17965),f233(x17963,x17962,x17964,x17965))
% 28.33/28.24 [1797]~E(x17971,x17972)+E(f233(x17973,x17974,x17971,x17975),f233(x17973,x17974,x17972,x17975))
% 28.33/28.24 [1798]~E(x17981,x17982)+E(f233(x17983,x17984,x17985,x17981),f233(x17983,x17984,x17985,x17982))
% 28.33/28.24 [1799]~E(x17991,x17992)+E(f345(x17991),f345(x17992))
% 28.33/28.24 [1800]~E(x18001,x18002)+E(f744(x18001,x18003,x18004,x18005),f744(x18002,x18003,x18004,x18005))
% 28.33/28.24 [1801]~E(x18011,x18012)+E(f744(x18013,x18011,x18014,x18015),f744(x18013,x18012,x18014,x18015))
% 28.33/28.24 [1802]~E(x18021,x18022)+E(f744(x18023,x18024,x18021,x18025),f744(x18023,x18024,x18022,x18025))
% 28.33/28.24 [1803]~E(x18031,x18032)+E(f744(x18033,x18034,x18035,x18031),f744(x18033,x18034,x18035,x18032))
% 28.33/28.24 [1804]~E(x18041,x18042)+E(f801(x18041,x18043,x18044),f801(x18042,x18043,x18044))
% 28.33/28.24 [1805]~E(x18051,x18052)+E(f801(x18053,x18051,x18054),f801(x18053,x18052,x18054))
% 28.33/28.24 [1806]~E(x18061,x18062)+E(f801(x18063,x18064,x18061),f801(x18063,x18064,x18062))
% 28.33/28.24 [1807]~E(x18071,x18072)+E(f517(x18071,x18073,x18074),f517(x18072,x18073,x18074))
% 28.33/28.24 [1808]~E(x18081,x18082)+E(f517(x18083,x18081,x18084),f517(x18083,x18082,x18084))
% 28.33/28.24 [1809]~E(x18091,x18092)+E(f517(x18093,x18094,x18091),f517(x18093,x18094,x18092))
% 28.33/28.24 [1810]~E(x18101,x18102)+E(f528(x18101),f528(x18102))
% 28.33/28.24 [1811]~E(x18111,x18112)+E(f724(x18111,x18113),f724(x18112,x18113))
% 28.33/28.24 [1812]~E(x18121,x18122)+E(f724(x18123,x18121),f724(x18123,x18122))
% 28.33/28.24 [1813]~E(x18131,x18132)+E(f277(x18131,x18133),f277(x18132,x18133))
% 28.33/28.24 [1814]~E(x18141,x18142)+E(f277(x18143,x18141),f277(x18143,x18142))
% 28.33/28.24 [1815]~E(x18151,x18152)+E(f142(x18151,x18153,x18154),f142(x18152,x18153,x18154))
% 28.33/28.24 [1816]~E(x18161,x18162)+E(f142(x18163,x18161,x18164),f142(x18163,x18162,x18164))
% 28.33/28.24 [1817]~E(x18171,x18172)+E(f142(x18173,x18174,x18171),f142(x18173,x18174,x18172))
% 28.33/28.24 [1818]~E(x18181,x18182)+E(f122(x18181,x18183,x18184),f122(x18182,x18183,x18184))
% 28.33/28.24 [1819]~E(x18191,x18192)+E(f122(x18193,x18191,x18194),f122(x18193,x18192,x18194))
% 28.33/28.24 [1820]~E(x18201,x18202)+E(f122(x18203,x18204,x18201),f122(x18203,x18204,x18202))
% 28.33/28.24 [1821]~E(x18211,x18212)+E(f615(x18211,x18213,x18214,x18215,x18216),f615(x18212,x18213,x18214,x18215,x18216))
% 28.33/28.24 [1822]~E(x18221,x18222)+E(f615(x18223,x18221,x18224,x18225,x18226),f615(x18223,x18222,x18224,x18225,x18226))
% 28.33/28.24 [1823]~E(x18231,x18232)+E(f615(x18233,x18234,x18231,x18235,x18236),f615(x18233,x18234,x18232,x18235,x18236))
% 28.33/28.24 [1824]~E(x18241,x18242)+E(f615(x18243,x18244,x18245,x18241,x18246),f615(x18243,x18244,x18245,x18242,x18246))
% 28.33/28.24 [1825]~E(x18251,x18252)+E(f615(x18253,x18254,x18255,x18256,x18251),f615(x18253,x18254,x18255,x18256,x18252))
% 28.33/28.24 [1826]~E(x18261,x18262)+E(f752(x18261,x18263,x18264),f752(x18262,x18263,x18264))
% 28.33/28.24 [1827]~E(x18271,x18272)+E(f752(x18273,x18271,x18274),f752(x18273,x18272,x18274))
% 28.33/28.24 [1828]~E(x18281,x18282)+E(f752(x18283,x18284,x18281),f752(x18283,x18284,x18282))
% 28.33/28.24 [1829]~E(x18291,x18292)+E(f595(x18291,x18293,x18294),f595(x18292,x18293,x18294))
% 28.33/28.24 [1830]~E(x18301,x18302)+E(f595(x18303,x18301,x18304),f595(x18303,x18302,x18304))
% 28.33/28.24 [1831]~E(x18311,x18312)+E(f595(x18313,x18314,x18311),f595(x18313,x18314,x18312))
% 28.33/28.24 [1832]~E(x18321,x18322)+E(f524(x18321,x18323,x18324,x18325,x18326),f524(x18322,x18323,x18324,x18325,x18326))
% 28.33/28.24 [1833]~E(x18331,x18332)+E(f524(x18333,x18331,x18334,x18335,x18336),f524(x18333,x18332,x18334,x18335,x18336))
% 28.33/28.24 [1834]~E(x18341,x18342)+E(f524(x18343,x18344,x18341,x18345,x18346),f524(x18343,x18344,x18342,x18345,x18346))
% 28.33/28.24 [1835]~E(x18351,x18352)+E(f524(x18353,x18354,x18355,x18351,x18356),f524(x18353,x18354,x18355,x18352,x18356))
% 28.33/28.24 [1836]~E(x18361,x18362)+E(f524(x18363,x18364,x18365,x18366,x18361),f524(x18363,x18364,x18365,x18366,x18362))
% 28.33/28.24 [1837]~E(x18371,x18372)+E(f525(x18371,x18373,x18374,x18375,x18376),f525(x18372,x18373,x18374,x18375,x18376))
% 28.33/28.24 [1838]~E(x18381,x18382)+E(f525(x18383,x18381,x18384,x18385,x18386),f525(x18383,x18382,x18384,x18385,x18386))
% 28.33/28.24 [1839]~E(x18391,x18392)+E(f525(x18393,x18394,x18391,x18395,x18396),f525(x18393,x18394,x18392,x18395,x18396))
% 28.33/28.24 [1840]~E(x18401,x18402)+E(f525(x18403,x18404,x18405,x18401,x18406),f525(x18403,x18404,x18405,x18402,x18406))
% 28.33/28.24 [1841]~E(x18411,x18412)+E(f525(x18413,x18414,x18415,x18416,x18411),f525(x18413,x18414,x18415,x18416,x18412))
% 28.33/28.24 [1842]~E(x18421,x18422)+E(f522(x18421,x18423,x18424),f522(x18422,x18423,x18424))
% 28.33/28.24 [1843]~E(x18431,x18432)+E(f522(x18433,x18431,x18434),f522(x18433,x18432,x18434))
% 28.33/28.24 [1844]~E(x18441,x18442)+E(f522(x18443,x18444,x18441),f522(x18443,x18444,x18442))
% 28.33/28.24 [1845]~E(x18451,x18452)+E(f884(x18451,x18453),f884(x18452,x18453))
% 28.33/28.24 [1846]~E(x18461,x18462)+E(f884(x18463,x18461),f884(x18463,x18462))
% 28.33/28.24 [1847]~E(x18471,x18472)+E(f350(x18471,x18473,x18474),f350(x18472,x18473,x18474))
% 28.33/28.24 [1848]~E(x18481,x18482)+E(f350(x18483,x18481,x18484),f350(x18483,x18482,x18484))
% 28.33/28.24 [1849]~E(x18491,x18492)+E(f350(x18493,x18494,x18491),f350(x18493,x18494,x18492))
% 28.33/28.24 [1850]~E(x18501,x18502)+E(f453(x18501,x18503,x18504,x18505),f453(x18502,x18503,x18504,x18505))
% 28.33/28.24 [1851]~E(x18511,x18512)+E(f453(x18513,x18511,x18514,x18515),f453(x18513,x18512,x18514,x18515))
% 28.33/28.24 [1852]~E(x18521,x18522)+E(f453(x18523,x18524,x18521,x18525),f453(x18523,x18524,x18522,x18525))
% 28.33/28.24 [1853]~E(x18531,x18532)+E(f453(x18533,x18534,x18535,x18531),f453(x18533,x18534,x18535,x18532))
% 28.33/28.24 [1854]~E(x18541,x18542)+E(f536(x18541,x18543,x18544,x18545),f536(x18542,x18543,x18544,x18545))
% 28.33/28.24 [1855]~E(x18551,x18552)+E(f536(x18553,x18551,x18554,x18555),f536(x18553,x18552,x18554,x18555))
% 28.33/28.24 [1856]~E(x18561,x18562)+E(f536(x18563,x18564,x18561,x18565),f536(x18563,x18564,x18562,x18565))
% 28.33/28.24 [1857]~E(x18571,x18572)+E(f536(x18573,x18574,x18575,x18571),f536(x18573,x18574,x18575,x18572))
% 28.33/28.24 [1858]~E(x18581,x18582)+E(f227(x18581,x18583,x18584,x18585,x18586),f227(x18582,x18583,x18584,x18585,x18586))
% 28.33/28.24 [1859]~E(x18591,x18592)+E(f227(x18593,x18591,x18594,x18595,x18596),f227(x18593,x18592,x18594,x18595,x18596))
% 28.33/28.24 [1860]~E(x18601,x18602)+E(f227(x18603,x18604,x18601,x18605,x18606),f227(x18603,x18604,x18602,x18605,x18606))
% 28.33/28.24 [1861]~E(x18611,x18612)+E(f227(x18613,x18614,x18615,x18611,x18616),f227(x18613,x18614,x18615,x18612,x18616))
% 28.33/28.24 [1862]~E(x18621,x18622)+E(f227(x18623,x18624,x18625,x18626,x18621),f227(x18623,x18624,x18625,x18626,x18622))
% 28.33/28.24 [1863]~E(x18631,x18632)+E(f398(x18631,x18633,x18634,x18635,x18636),f398(x18632,x18633,x18634,x18635,x18636))
% 28.33/28.24 [1864]~E(x18641,x18642)+E(f398(x18643,x18641,x18644,x18645,x18646),f398(x18643,x18642,x18644,x18645,x18646))
% 28.33/28.24 [1865]~E(x18651,x18652)+E(f398(x18653,x18654,x18651,x18655,x18656),f398(x18653,x18654,x18652,x18655,x18656))
% 28.33/28.24 [1866]~E(x18661,x18662)+E(f398(x18663,x18664,x18665,x18661,x18666),f398(x18663,x18664,x18665,x18662,x18666))
% 28.33/28.24 [1867]~E(x18671,x18672)+E(f398(x18673,x18674,x18675,x18676,x18671),f398(x18673,x18674,x18675,x18676,x18672))
% 28.33/28.24 [1868]~E(x18681,x18682)+E(f495(x18681,x18683,x18684,x18685,x18686),f495(x18682,x18683,x18684,x18685,x18686))
% 28.33/28.24 [1869]~E(x18691,x18692)+E(f495(x18693,x18691,x18694,x18695,x18696),f495(x18693,x18692,x18694,x18695,x18696))
% 28.33/28.24 [1870]~E(x18701,x18702)+E(f495(x18703,x18704,x18701,x18705,x18706),f495(x18703,x18704,x18702,x18705,x18706))
% 28.33/28.24 [1871]~E(x18711,x18712)+E(f495(x18713,x18714,x18715,x18711,x18716),f495(x18713,x18714,x18715,x18712,x18716))
% 28.33/28.24 [1872]~E(x18721,x18722)+E(f495(x18723,x18724,x18725,x18726,x18721),f495(x18723,x18724,x18725,x18726,x18722))
% 28.33/28.24 [1873]~E(x18731,x18732)+E(f356(x18731),f356(x18732))
% 28.33/28.24 [1874]~E(x18741,x18742)+E(f448(x18741,x18743,x18744,x18745),f448(x18742,x18743,x18744,x18745))
% 28.33/28.24 [1875]~E(x18751,x18752)+E(f448(x18753,x18751,x18754,x18755),f448(x18753,x18752,x18754,x18755))
% 28.33/28.24 [1876]~E(x18761,x18762)+E(f448(x18763,x18764,x18761,x18765),f448(x18763,x18764,x18762,x18765))
% 28.33/28.24 [1877]~E(x18771,x18772)+E(f448(x18773,x18774,x18775,x18771),f448(x18773,x18774,x18775,x18772))
% 28.33/28.24 [1878]~E(x18781,x18782)+E(f604(x18781,x18783,x18784,x18785),f604(x18782,x18783,x18784,x18785))
% 28.33/28.24 [1879]~E(x18791,x18792)+E(f604(x18793,x18791,x18794,x18795),f604(x18793,x18792,x18794,x18795))
% 28.33/28.24 [1880]~E(x18801,x18802)+E(f604(x18803,x18804,x18801,x18805),f604(x18803,x18804,x18802,x18805))
% 28.33/28.24 [1881]~E(x18811,x18812)+E(f604(x18813,x18814,x18815,x18811),f604(x18813,x18814,x18815,x18812))
% 28.33/28.24 [1882]~E(x18821,x18822)+E(f783(x18821,x18823,x18824,x18825),f783(x18822,x18823,x18824,x18825))
% 28.33/28.24 [1883]~E(x18831,x18832)+E(f783(x18833,x18831,x18834,x18835),f783(x18833,x18832,x18834,x18835))
% 28.33/28.24 [1884]~E(x18841,x18842)+E(f783(x18843,x18844,x18841,x18845),f783(x18843,x18844,x18842,x18845))
% 28.33/28.24 [1885]~E(x18851,x18852)+E(f783(x18853,x18854,x18855,x18851),f783(x18853,x18854,x18855,x18852))
% 28.33/28.24 [1886]~E(x18861,x18862)+E(f91(x18861),f91(x18862))
% 28.33/28.24 [1887]~E(x18871,x18872)+E(f301(x18871,x18873,x18874,x18875,x18876),f301(x18872,x18873,x18874,x18875,x18876))
% 28.33/28.24 [1888]~E(x18881,x18882)+E(f301(x18883,x18881,x18884,x18885,x18886),f301(x18883,x18882,x18884,x18885,x18886))
% 28.33/28.24 [1889]~E(x18891,x18892)+E(f301(x18893,x18894,x18891,x18895,x18896),f301(x18893,x18894,x18892,x18895,x18896))
% 28.33/28.24 [1890]~E(x18901,x18902)+E(f301(x18903,x18904,x18905,x18901,x18906),f301(x18903,x18904,x18905,x18902,x18906))
% 28.33/28.24 [1891]~E(x18911,x18912)+E(f301(x18913,x18914,x18915,x18916,x18911),f301(x18913,x18914,x18915,x18916,x18912))
% 28.33/28.24 [1892]~E(x18921,x18922)+E(f773(x18921,x18923,x18924,x18925),f773(x18922,x18923,x18924,x18925))
% 28.33/28.24 [1893]~E(x18931,x18932)+E(f773(x18933,x18931,x18934,x18935),f773(x18933,x18932,x18934,x18935))
% 28.33/28.24 [1894]~E(x18941,x18942)+E(f773(x18943,x18944,x18941,x18945),f773(x18943,x18944,x18942,x18945))
% 28.33/28.24 [1895]~E(x18951,x18952)+E(f773(x18953,x18954,x18955,x18951),f773(x18953,x18954,x18955,x18952))
% 28.33/28.24 [1896]~E(x18961,x18962)+E(f711(x18961),f711(x18962))
% 28.33/28.24 [1897]~E(x18971,x18972)+E(f417(x18971,x18973,x18974),f417(x18972,x18973,x18974))
% 28.33/28.24 [1898]~E(x18981,x18982)+E(f417(x18983,x18981,x18984),f417(x18983,x18982,x18984))
% 28.33/28.24 [1899]~E(x18991,x18992)+E(f417(x18993,x18994,x18991),f417(x18993,x18994,x18992))
% 28.33/28.24 [1900]~E(x19001,x19002)+E(f442(x19001,x19003,x19004,x19005),f442(x19002,x19003,x19004,x19005))
% 28.33/28.24 [1901]~E(x19011,x19012)+E(f442(x19013,x19011,x19014,x19015),f442(x19013,x19012,x19014,x19015))
% 28.33/28.24 [1902]~E(x19021,x19022)+E(f442(x19023,x19024,x19021,x19025),f442(x19023,x19024,x19022,x19025))
% 28.33/28.24 [1903]~E(x19031,x19032)+E(f442(x19033,x19034,x19035,x19031),f442(x19033,x19034,x19035,x19032))
% 28.33/28.24 [1904]~E(x19041,x19042)+E(f899(x19041,x19043,x19044,x19045,x19046),f899(x19042,x19043,x19044,x19045,x19046))
% 28.33/28.24 [1905]~E(x19051,x19052)+E(f899(x19053,x19051,x19054,x19055,x19056),f899(x19053,x19052,x19054,x19055,x19056))
% 28.33/28.24 [1906]~E(x19061,x19062)+E(f899(x19063,x19064,x19061,x19065,x19066),f899(x19063,x19064,x19062,x19065,x19066))
% 28.33/28.24 [1907]~E(x19071,x19072)+E(f899(x19073,x19074,x19075,x19071,x19076),f899(x19073,x19074,x19075,x19072,x19076))
% 28.33/28.24 [1908]~E(x19081,x19082)+E(f899(x19083,x19084,x19085,x19086,x19081),f899(x19083,x19084,x19085,x19086,x19082))
% 28.33/28.24 [1909]~E(x19091,x19092)+E(f482(x19091,x19093,x19094),f482(x19092,x19093,x19094))
% 28.33/28.24 [1910]~E(x19101,x19102)+E(f482(x19103,x19101,x19104),f482(x19103,x19102,x19104))
% 28.33/28.24 [1911]~E(x19111,x19112)+E(f482(x19113,x19114,x19111),f482(x19113,x19114,x19112))
% 28.33/28.24 [1912]~E(x19121,x19122)+E(f723(x19121),f723(x19122))
% 28.33/28.24 [1913]~E(x19131,x19132)+E(f513(x19131,x19133,x19134),f513(x19132,x19133,x19134))
% 28.33/28.24 [1914]~E(x19141,x19142)+E(f513(x19143,x19141,x19144),f513(x19143,x19142,x19144))
% 28.33/28.24 [1915]~E(x19151,x19152)+E(f513(x19153,x19154,x19151),f513(x19153,x19154,x19152))
% 28.33/28.24 [1916]~E(x19161,x19162)+E(f374(x19161,x19163),f374(x19162,x19163))
% 28.33/28.24 [1917]~E(x19171,x19172)+E(f374(x19173,x19171),f374(x19173,x19172))
% 28.33/28.24 [1918]~E(x19181,x19182)+E(f465(x19181,x19183),f465(x19182,x19183))
% 28.33/28.24 [1919]~E(x19191,x19192)+E(f465(x19193,x19191),f465(x19193,x19192))
% 28.33/28.24 [1920]~E(x19201,x19202)+E(f459(x19201,x19203),f459(x19202,x19203))
% 28.33/28.24 [1921]~E(x19211,x19212)+E(f459(x19213,x19211),f459(x19213,x19212))
% 28.33/28.24 [1922]~E(x19221,x19222)+E(f707(x19221,x19223),f707(x19222,x19223))
% 28.33/28.24 [1923]~E(x19231,x19232)+E(f707(x19233,x19231),f707(x19233,x19232))
% 28.33/28.24 [1924]~E(x19241,x19242)+E(f206(x19241,x19243),f206(x19242,x19243))
% 28.33/28.24 [1925]~E(x19251,x19252)+E(f206(x19253,x19251),f206(x19253,x19252))
% 28.33/28.24 [1926]~E(x19261,x19262)+E(f415(x19261,x19263,x19264),f415(x19262,x19263,x19264))
% 28.33/28.24 [1927]~E(x19271,x19272)+E(f415(x19273,x19271,x19274),f415(x19273,x19272,x19274))
% 28.33/28.24 [1928]~E(x19281,x19282)+E(f415(x19283,x19284,x19281),f415(x19283,x19284,x19282))
% 28.33/28.24 [1929]~E(x19291,x19292)+E(f441(x19291,x19293,x19294,x19295),f441(x19292,x19293,x19294,x19295))
% 28.33/28.24 [1930]~E(x19301,x19302)+E(f441(x19303,x19301,x19304,x19305),f441(x19303,x19302,x19304,x19305))
% 28.33/28.24 [1931]~E(x19311,x19312)+E(f441(x19313,x19314,x19311,x19315),f441(x19313,x19314,x19312,x19315))
% 28.33/28.24 [1932]~E(x19321,x19322)+E(f441(x19323,x19324,x19325,x19321),f441(x19323,x19324,x19325,x19322))
% 28.33/28.24 [1933]~E(x19331,x19332)+E(f859(x19331,x19333,x19334),f859(x19332,x19333,x19334))
% 28.33/28.24 [1934]~E(x19341,x19342)+E(f859(x19343,x19341,x19344),f859(x19343,x19342,x19344))
% 28.33/28.24 [1935]~E(x19351,x19352)+E(f859(x19353,x19354,x19351),f859(x19353,x19354,x19352))
% 28.33/28.24 [1936]~E(x19361,x19362)+E(f343(x19361,x19363,x19364,x19365,x19366),f343(x19362,x19363,x19364,x19365,x19366))
% 28.33/28.24 [1937]~E(x19371,x19372)+E(f343(x19373,x19371,x19374,x19375,x19376),f343(x19373,x19372,x19374,x19375,x19376))
% 28.33/28.24 [1938]~E(x19381,x19382)+E(f343(x19383,x19384,x19381,x19385,x19386),f343(x19383,x19384,x19382,x19385,x19386))
% 28.33/28.24 [1939]~E(x19391,x19392)+E(f343(x19393,x19394,x19395,x19391,x19396),f343(x19393,x19394,x19395,x19392,x19396))
% 28.33/28.24 [1940]~E(x19401,x19402)+E(f343(x19403,x19404,x19405,x19406,x19401),f343(x19403,x19404,x19405,x19406,x19402))
% 28.33/28.24 [1941]~E(x19411,x19412)+E(f812(x19411,x19413),f812(x19412,x19413))
% 28.33/28.24 [1942]~E(x19421,x19422)+E(f812(x19423,x19421),f812(x19423,x19422))
% 28.33/28.24 [1943]~E(x19431,x19432)+E(f534(x19431),f534(x19432))
% 28.33/28.24 [1944]~E(x19441,x19442)+E(f475(x19441,x19443,x19444,x19445,x19446),f475(x19442,x19443,x19444,x19445,x19446))
% 28.33/28.24 [1945]~E(x19451,x19452)+E(f475(x19453,x19451,x19454,x19455,x19456),f475(x19453,x19452,x19454,x19455,x19456))
% 28.33/28.24 [1946]~E(x19461,x19462)+E(f475(x19463,x19464,x19461,x19465,x19466),f475(x19463,x19464,x19462,x19465,x19466))
% 28.33/28.24 [1947]~E(x19471,x19472)+E(f475(x19473,x19474,x19475,x19471,x19476),f475(x19473,x19474,x19475,x19472,x19476))
% 28.33/28.24 [1948]~E(x19481,x19482)+E(f475(x19483,x19484,x19485,x19486,x19481),f475(x19483,x19484,x19485,x19486,x19482))
% 28.33/28.24 [1949]~E(x19491,x19492)+E(f887(x19491,x19493,x19494),f887(x19492,x19493,x19494))
% 28.33/28.24 [1950]~E(x19501,x19502)+E(f887(x19503,x19501,x19504),f887(x19503,x19502,x19504))
% 28.33/28.24 [1951]~E(x19511,x19512)+E(f887(x19513,x19514,x19511),f887(x19513,x19514,x19512))
% 28.33/28.24 [1952]~E(x19521,x19522)+E(f551(x19521,x19523,x19524,x19525,x19526,x19527),f551(x19522,x19523,x19524,x19525,x19526,x19527))
% 28.33/28.24 [1953]~E(x19531,x19532)+E(f551(x19533,x19531,x19534,x19535,x19536,x19537),f551(x19533,x19532,x19534,x19535,x19536,x19537))
% 28.33/28.24 [1954]~E(x19541,x19542)+E(f551(x19543,x19544,x19541,x19545,x19546,x19547),f551(x19543,x19544,x19542,x19545,x19546,x19547))
% 28.33/28.24 [1955]~E(x19551,x19552)+E(f551(x19553,x19554,x19555,x19551,x19556,x19557),f551(x19553,x19554,x19555,x19552,x19556,x19557))
% 28.33/28.24 [1956]~E(x19561,x19562)+E(f551(x19563,x19564,x19565,x19566,x19561,x19567),f551(x19563,x19564,x19565,x19566,x19562,x19567))
% 28.33/28.24 [1957]~E(x19571,x19572)+E(f551(x19573,x19574,x19575,x19576,x19577,x19571),f551(x19573,x19574,x19575,x19576,x19577,x19572))
% 28.33/28.24 [1958]~E(x19581,x19582)+E(f561(x19581,x19583,x19584,x19585),f561(x19582,x19583,x19584,x19585))
% 28.33/28.24 [1959]~E(x19591,x19592)+E(f561(x19593,x19591,x19594,x19595),f561(x19593,x19592,x19594,x19595))
% 28.33/28.24 [1960]~E(x19601,x19602)+E(f561(x19603,x19604,x19601,x19605),f561(x19603,x19604,x19602,x19605))
% 28.33/28.24 [1961]~E(x19611,x19612)+E(f561(x19613,x19614,x19615,x19611),f561(x19613,x19614,x19615,x19612))
% 28.33/28.24 [1962]~E(x19621,x19622)+E(f668(x19621,x19623,x19624),f668(x19622,x19623,x19624))
% 28.33/28.24 [1963]~E(x19631,x19632)+E(f668(x19633,x19631,x19634),f668(x19633,x19632,x19634))
% 28.33/28.24 [1964]~E(x19641,x19642)+E(f668(x19643,x19644,x19641),f668(x19643,x19644,x19642))
% 28.33/28.24 [1965]~E(x19651,x19652)+E(f499(x19651,x19653,x19654,x19655,x19656),f499(x19652,x19653,x19654,x19655,x19656))
% 28.33/28.24 [1966]~E(x19661,x19662)+E(f499(x19663,x19661,x19664,x19665,x19666),f499(x19663,x19662,x19664,x19665,x19666))
% 28.33/28.24 [1967]~E(x19671,x19672)+E(f499(x19673,x19674,x19671,x19675,x19676),f499(x19673,x19674,x19672,x19675,x19676))
% 28.33/28.24 [1968]~E(x19681,x19682)+E(f499(x19683,x19684,x19685,x19681,x19686),f499(x19683,x19684,x19685,x19682,x19686))
% 28.33/28.24 [1969]~E(x19691,x19692)+E(f499(x19693,x19694,x19695,x19696,x19691),f499(x19693,x19694,x19695,x19696,x19692))
% 28.33/28.24 [1970]~E(x19701,x19702)+E(f695(x19701,x19703,x19704),f695(x19702,x19703,x19704))
% 28.33/28.24 [1971]~E(x19711,x19712)+E(f695(x19713,x19711,x19714),f695(x19713,x19712,x19714))
% 28.33/28.24 [1972]~E(x19721,x19722)+E(f695(x19723,x19724,x19721),f695(x19723,x19724,x19722))
% 28.33/28.24 [1973]~E(x19731,x19732)+E(f514(x19731,x19733,x19734,x19735,x19736),f514(x19732,x19733,x19734,x19735,x19736))
% 28.33/28.24 [1974]~E(x19741,x19742)+E(f514(x19743,x19741,x19744,x19745,x19746),f514(x19743,x19742,x19744,x19745,x19746))
% 28.33/28.24 [1975]~E(x19751,x19752)+E(f514(x19753,x19754,x19751,x19755,x19756),f514(x19753,x19754,x19752,x19755,x19756))
% 28.33/28.24 [1976]~E(x19761,x19762)+E(f514(x19763,x19764,x19765,x19761,x19766),f514(x19763,x19764,x19765,x19762,x19766))
% 28.33/28.24 [1977]~E(x19771,x19772)+E(f514(x19773,x19774,x19775,x19776,x19771),f514(x19773,x19774,x19775,x19776,x19772))
% 28.33/28.24 [1978]~E(x19781,x19782)+E(f547(x19781,x19783),f547(x19782,x19783))
% 28.33/28.24 [1979]~E(x19791,x19792)+E(f547(x19793,x19791),f547(x19793,x19792))
% 28.33/28.24 [1980]~E(x19801,x19802)+E(f712(x19801,x19803,x19804,x19805,x19806),f712(x19802,x19803,x19804,x19805,x19806))
% 28.33/28.24 [1981]~E(x19811,x19812)+E(f712(x19813,x19811,x19814,x19815,x19816),f712(x19813,x19812,x19814,x19815,x19816))
% 28.33/28.24 [1982]~E(x19821,x19822)+E(f712(x19823,x19824,x19821,x19825,x19826),f712(x19823,x19824,x19822,x19825,x19826))
% 28.33/28.24 [1983]~E(x19831,x19832)+E(f712(x19833,x19834,x19835,x19831,x19836),f712(x19833,x19834,x19835,x19832,x19836))
% 28.33/28.24 [1984]~E(x19841,x19842)+E(f712(x19843,x19844,x19845,x19846,x19841),f712(x19843,x19844,x19845,x19846,x19842))
% 28.33/28.24 [1985]~E(x19851,x19852)+E(f438(x19851,x19853,x19854,x19855),f438(x19852,x19853,x19854,x19855))
% 28.33/28.24 [1986]~E(x19861,x19862)+E(f438(x19863,x19861,x19864,x19865),f438(x19863,x19862,x19864,x19865))
% 28.33/28.24 [1987]~E(x19871,x19872)+E(f438(x19873,x19874,x19871,x19875),f438(x19873,x19874,x19872,x19875))
% 28.33/28.24 [1988]~E(x19881,x19882)+E(f438(x19883,x19884,x19885,x19881),f438(x19883,x19884,x19885,x19882))
% 28.33/28.24 [1989]~E(x19891,x19892)+E(f347(x19891),f347(x19892))
% 28.33/28.24 [1990]~E(x19901,x19902)+E(f657(x19901,x19903,x19904),f657(x19902,x19903,x19904))
% 28.33/28.24 [1991]~E(x19911,x19912)+E(f657(x19913,x19911,x19914),f657(x19913,x19912,x19914))
% 28.33/28.24 [1992]~E(x19921,x19922)+E(f657(x19923,x19924,x19921),f657(x19923,x19924,x19922))
% 28.33/28.24 [1993]~E(x19931,x19932)+E(f600(x19931,x19933),f600(x19932,x19933))
% 28.33/28.24 [1994]~E(x19941,x19942)+E(f600(x19943,x19941),f600(x19943,x19942))
% 28.33/28.24 [1995]~E(x19951,x19952)+E(f381(x19951,x19953,x19954,x19955),f381(x19952,x19953,x19954,x19955))
% 28.33/28.24 [1996]~E(x19961,x19962)+E(f381(x19963,x19961,x19964,x19965),f381(x19963,x19962,x19964,x19965))
% 28.33/28.24 [1997]~E(x19971,x19972)+E(f381(x19973,x19974,x19971,x19975),f381(x19973,x19974,x19972,x19975))
% 28.33/28.24 [1998]~E(x19981,x19982)+E(f381(x19983,x19984,x19985,x19981),f381(x19983,x19984,x19985,x19982))
% 28.33/28.24 [1999]~E(x19991,x19992)+E(f686(x19991,x19993,x19994,x19995,x19996,x19997),f686(x19992,x19993,x19994,x19995,x19996,x19997))
% 28.33/28.24 [2000]~E(x20001,x20002)+E(f686(x20003,x20001,x20004,x20005,x20006,x20007),f686(x20003,x20002,x20004,x20005,x20006,x20007))
% 28.33/28.24 [2001]~E(x20011,x20012)+E(f686(x20013,x20014,x20011,x20015,x20016,x20017),f686(x20013,x20014,x20012,x20015,x20016,x20017))
% 28.33/28.24 [2002]~E(x20021,x20022)+E(f686(x20023,x20024,x20025,x20021,x20026,x20027),f686(x20023,x20024,x20025,x20022,x20026,x20027))
% 28.33/28.24 [2003]~E(x20031,x20032)+E(f686(x20033,x20034,x20035,x20036,x20031,x20037),f686(x20033,x20034,x20035,x20036,x20032,x20037))
% 28.33/28.24 [2004]~E(x20041,x20042)+E(f686(x20043,x20044,x20045,x20046,x20047,x20041),f686(x20043,x20044,x20045,x20046,x20047,x20042))
% 28.33/28.24 [2005]~E(x20051,x20052)+E(f715(x20051,x20053,x20054),f715(x20052,x20053,x20054))
% 28.33/28.24 [2006]~E(x20061,x20062)+E(f715(x20063,x20061,x20064),f715(x20063,x20062,x20064))
% 28.33/28.24 [2007]~E(x20071,x20072)+E(f715(x20073,x20074,x20071),f715(x20073,x20074,x20072))
% 28.33/28.24 [2008]~E(x20081,x20082)+E(f771(x20081,x20083,x20084,x20085,x20086,x20087,x20088),f771(x20082,x20083,x20084,x20085,x20086,x20087,x20088))
% 28.33/28.24 [2009]~E(x20091,x20092)+E(f771(x20093,x20091,x20094,x20095,x20096,x20097,x20098),f771(x20093,x20092,x20094,x20095,x20096,x20097,x20098))
% 28.33/28.24 [2010]~E(x20101,x20102)+E(f771(x20103,x20104,x20101,x20105,x20106,x20107,x20108),f771(x20103,x20104,x20102,x20105,x20106,x20107,x20108))
% 28.33/28.24 [2011]~E(x20111,x20112)+E(f771(x20113,x20114,x20115,x20111,x20116,x20117,x20118),f771(x20113,x20114,x20115,x20112,x20116,x20117,x20118))
% 28.33/28.24 [2012]~E(x20121,x20122)+E(f771(x20123,x20124,x20125,x20126,x20121,x20127,x20128),f771(x20123,x20124,x20125,x20126,x20122,x20127,x20128))
% 28.33/28.24 [2013]~E(x20131,x20132)+E(f771(x20133,x20134,x20135,x20136,x20137,x20131,x20138),f771(x20133,x20134,x20135,x20136,x20137,x20132,x20138))
% 28.33/28.24 [2014]~E(x20141,x20142)+E(f771(x20143,x20144,x20145,x20146,x20147,x20148,x20141),f771(x20143,x20144,x20145,x20146,x20147,x20148,x20142))
% 28.33/28.24 [2015]~E(x20151,x20152)+E(f673(x20151,x20153),f673(x20152,x20153))
% 28.33/28.24 [2016]~E(x20161,x20162)+E(f673(x20163,x20161),f673(x20163,x20162))
% 28.33/28.24 [2017]~E(x20171,x20172)+E(f831(x20171,x20173),f831(x20172,x20173))
% 28.33/28.24 [2018]~E(x20181,x20182)+E(f831(x20183,x20181),f831(x20183,x20182))
% 28.33/28.24 [2019]~E(x20191,x20192)+E(f368(x20191,x20193),f368(x20192,x20193))
% 28.33/28.24 [2020]~E(x20201,x20202)+E(f368(x20203,x20201),f368(x20203,x20202))
% 28.33/28.24 [2021]~E(x20211,x20212)+E(f865(x20211,x20213,x20214),f865(x20212,x20213,x20214))
% 28.33/28.24 [2022]~E(x20221,x20222)+E(f865(x20223,x20221,x20224),f865(x20223,x20222,x20224))
% 28.33/28.24 [2023]~E(x20231,x20232)+E(f865(x20233,x20234,x20231),f865(x20233,x20234,x20232))
% 28.33/28.24 [2024]~E(x20241,x20242)+E(f743(x20241,x20243,x20244,x20245),f743(x20242,x20243,x20244,x20245))
% 28.33/28.24 [2025]~E(x20251,x20252)+E(f743(x20253,x20251,x20254,x20255),f743(x20253,x20252,x20254,x20255))
% 28.33/28.24 [2026]~E(x20261,x20262)+E(f743(x20263,x20264,x20261,x20265),f743(x20263,x20264,x20262,x20265))
% 28.33/28.24 [2027]~E(x20271,x20272)+E(f743(x20273,x20274,x20275,x20271),f743(x20273,x20274,x20275,x20272))
% 28.33/28.24 [2028]~E(x20281,x20282)+E(f624(x20281,x20283,x20284,x20285),f624(x20282,x20283,x20284,x20285))
% 28.33/28.24 [2029]~E(x20291,x20292)+E(f624(x20293,x20291,x20294,x20295),f624(x20293,x20292,x20294,x20295))
% 28.33/28.24 [2030]~E(x20301,x20302)+E(f624(x20303,x20304,x20301,x20305),f624(x20303,x20304,x20302,x20305))
% 28.33/28.24 [2031]~E(x20311,x20312)+E(f624(x20313,x20314,x20315,x20311),f624(x20313,x20314,x20315,x20312))
% 28.33/28.24 [2032]~E(x20321,x20322)+E(f490(x20321,x20323,x20324,x20325),f490(x20322,x20323,x20324,x20325))
% 28.33/28.24 [2033]~E(x20331,x20332)+E(f490(x20333,x20331,x20334,x20335),f490(x20333,x20332,x20334,x20335))
% 28.33/28.24 [2034]~E(x20341,x20342)+E(f490(x20343,x20344,x20341,x20345),f490(x20343,x20344,x20342,x20345))
% 28.33/28.24 [2035]~E(x20351,x20352)+E(f490(x20353,x20354,x20355,x20351),f490(x20353,x20354,x20355,x20352))
% 28.33/28.24 [2036]~E(x20361,x20362)+E(f210(x20361,x20363,x20364,x20365),f210(x20362,x20363,x20364,x20365))
% 28.33/28.24 [2037]~E(x20371,x20372)+E(f210(x20373,x20371,x20374,x20375),f210(x20373,x20372,x20374,x20375))
% 28.33/28.24 [2038]~E(x20381,x20382)+E(f210(x20383,x20384,x20381,x20385),f210(x20383,x20384,x20382,x20385))
% 28.33/28.24 [2039]~E(x20391,x20392)+E(f210(x20393,x20394,x20395,x20391),f210(x20393,x20394,x20395,x20392))
% 28.33/28.24 [2040]~E(x20401,x20402)+E(f749(x20401,x20403,x20404),f749(x20402,x20403,x20404))
% 28.33/28.24 [2041]~E(x20411,x20412)+E(f749(x20413,x20411,x20414),f749(x20413,x20412,x20414))
% 28.33/28.24 [2042]~E(x20421,x20422)+E(f749(x20423,x20424,x20421),f749(x20423,x20424,x20422))
% 28.33/28.24 [2043]~E(x20431,x20432)+E(f510(x20431,x20433),f510(x20432,x20433))
% 28.33/28.24 [2044]~E(x20441,x20442)+E(f510(x20443,x20441),f510(x20443,x20442))
% 28.33/28.24 [2045]~E(x20451,x20452)+E(f753(x20451,x20453,x20454),f753(x20452,x20453,x20454))
% 28.33/28.24 [2046]~E(x20461,x20462)+E(f753(x20463,x20461,x20464),f753(x20463,x20462,x20464))
% 28.33/28.24 [2047]~E(x20471,x20472)+E(f753(x20473,x20474,x20471),f753(x20473,x20474,x20472))
% 28.33/28.24 [2048]~E(x20481,x20482)+E(f387(x20481,x20483,x20484,x20485),f387(x20482,x20483,x20484,x20485))
% 28.33/28.24 [2049]~E(x20491,x20492)+E(f387(x20493,x20491,x20494,x20495),f387(x20493,x20492,x20494,x20495))
% 28.33/28.24 [2050]~E(x20501,x20502)+E(f387(x20503,x20504,x20501,x20505),f387(x20503,x20504,x20502,x20505))
% 28.33/28.24 [2051]~E(x20511,x20512)+E(f387(x20513,x20514,x20515,x20511),f387(x20513,x20514,x20515,x20512))
% 28.33/28.24 [2052]~E(x20521,x20522)+E(f273(x20521,x20523),f273(x20522,x20523))
% 28.33/28.24 [2053]~E(x20531,x20532)+E(f273(x20533,x20531),f273(x20533,x20532))
% 28.33/28.24 [2054]~E(x20541,x20542)+E(f538(x20541,x20543,x20544,x20545,x20546),f538(x20542,x20543,x20544,x20545,x20546))
% 28.33/28.24 [2055]~E(x20551,x20552)+E(f538(x20553,x20551,x20554,x20555,x20556),f538(x20553,x20552,x20554,x20555,x20556))
% 28.33/28.24 [2056]~E(x20561,x20562)+E(f538(x20563,x20564,x20561,x20565,x20566),f538(x20563,x20564,x20562,x20565,x20566))
% 28.33/28.24 [2057]~E(x20571,x20572)+E(f538(x20573,x20574,x20575,x20571,x20576),f538(x20573,x20574,x20575,x20572,x20576))
% 28.33/28.24 [2058]~E(x20581,x20582)+E(f538(x20583,x20584,x20585,x20586,x20581),f538(x20583,x20584,x20585,x20586,x20582))
% 28.33/28.24 [2059]~E(x20591,x20592)+E(f476(x20591,x20593,x20594,x20595,x20596),f476(x20592,x20593,x20594,x20595,x20596))
% 28.33/28.24 [2060]~E(x20601,x20602)+E(f476(x20603,x20601,x20604,x20605,x20606),f476(x20603,x20602,x20604,x20605,x20606))
% 28.33/28.24 [2061]~E(x20611,x20612)+E(f476(x20613,x20614,x20611,x20615,x20616),f476(x20613,x20614,x20612,x20615,x20616))
% 28.33/28.24 [2062]~E(x20621,x20622)+E(f476(x20623,x20624,x20625,x20621,x20626),f476(x20623,x20624,x20625,x20622,x20626))
% 28.33/28.24 [2063]~E(x20631,x20632)+E(f476(x20633,x20634,x20635,x20636,x20631),f476(x20633,x20634,x20635,x20636,x20632))
% 28.33/28.24 [2064]~E(x20641,x20642)+E(f550(x20641,x20643,x20644,x20645,x20646,x20647),f550(x20642,x20643,x20644,x20645,x20646,x20647))
% 28.33/28.24 [2065]~E(x20651,x20652)+E(f550(x20653,x20651,x20654,x20655,x20656,x20657),f550(x20653,x20652,x20654,x20655,x20656,x20657))
% 28.33/28.24 [2066]~E(x20661,x20662)+E(f550(x20663,x20664,x20661,x20665,x20666,x20667),f550(x20663,x20664,x20662,x20665,x20666,x20667))
% 28.33/28.24 [2067]~E(x20671,x20672)+E(f550(x20673,x20674,x20675,x20671,x20676,x20677),f550(x20673,x20674,x20675,x20672,x20676,x20677))
% 28.33/28.24 [2068]~E(x20681,x20682)+E(f550(x20683,x20684,x20685,x20686,x20681,x20687),f550(x20683,x20684,x20685,x20686,x20682,x20687))
% 28.33/28.24 [2069]~E(x20691,x20692)+E(f550(x20693,x20694,x20695,x20696,x20697,x20691),f550(x20693,x20694,x20695,x20696,x20697,x20692))
% 28.33/28.24 [2070]~E(x20701,x20702)+E(f202(x20701,x20703,x20704,x20705),f202(x20702,x20703,x20704,x20705))
% 28.33/28.24 [2071]~E(x20711,x20712)+E(f202(x20713,x20711,x20714,x20715),f202(x20713,x20712,x20714,x20715))
% 28.33/28.24 [2072]~E(x20721,x20722)+E(f202(x20723,x20724,x20721,x20725),f202(x20723,x20724,x20722,x20725))
% 28.33/28.24 [2073]~E(x20731,x20732)+E(f202(x20733,x20734,x20735,x20731),f202(x20733,x20734,x20735,x20732))
% 28.33/28.24 [2074]~E(x20741,x20742)+E(f574(x20741,x20743,x20744,x20745,x20746),f574(x20742,x20743,x20744,x20745,x20746))
% 28.33/28.24 [2075]~E(x20751,x20752)+E(f574(x20753,x20751,x20754,x20755,x20756),f574(x20753,x20752,x20754,x20755,x20756))
% 28.33/28.24 [2076]~E(x20761,x20762)+E(f574(x20763,x20764,x20761,x20765,x20766),f574(x20763,x20764,x20762,x20765,x20766))
% 28.33/28.24 [2077]~E(x20771,x20772)+E(f574(x20773,x20774,x20775,x20771,x20776),f574(x20773,x20774,x20775,x20772,x20776))
% 28.33/28.24 [2078]~E(x20781,x20782)+E(f574(x20783,x20784,x20785,x20786,x20781),f574(x20783,x20784,x20785,x20786,x20782))
% 28.33/28.24 [2079]~E(x20791,x20792)+E(f791(x20791,x20793,x20794),f791(x20792,x20793,x20794))
% 28.33/28.24 [2080]~E(x20801,x20802)+E(f791(x20803,x20801,x20804),f791(x20803,x20802,x20804))
% 28.33/28.24 [2081]~E(x20811,x20812)+E(f791(x20813,x20814,x20811),f791(x20813,x20814,x20812))
% 28.33/28.24 [2082]~E(x20821,x20822)+E(f451(x20821,x20823,x20824,x20825),f451(x20822,x20823,x20824,x20825))
% 28.33/28.24 [2083]~E(x20831,x20832)+E(f451(x20833,x20831,x20834,x20835),f451(x20833,x20832,x20834,x20835))
% 28.33/28.24 [2084]~E(x20841,x20842)+E(f451(x20843,x20844,x20841,x20845),f451(x20843,x20844,x20842,x20845))
% 28.33/28.24 [2085]~E(x20851,x20852)+E(f451(x20853,x20854,x20855,x20851),f451(x20853,x20854,x20855,x20852))
% 28.33/28.24 [2086]~E(x20861,x20862)+E(f612(x20861,x20863,x20864,x20865),f612(x20862,x20863,x20864,x20865))
% 28.33/28.24 [2087]~E(x20871,x20872)+E(f612(x20873,x20871,x20874,x20875),f612(x20873,x20872,x20874,x20875))
% 28.33/28.24 [2088]~E(x20881,x20882)+E(f612(x20883,x20884,x20881,x20885),f612(x20883,x20884,x20882,x20885))
% 28.33/28.24 [2089]~E(x20891,x20892)+E(f612(x20893,x20894,x20895,x20891),f612(x20893,x20894,x20895,x20892))
% 28.33/28.24 [2090]~E(x20901,x20902)+E(f721(x20901,x20903,x20904,x20905,x20906),f721(x20902,x20903,x20904,x20905,x20906))
% 28.33/28.24 [2091]~E(x20911,x20912)+E(f721(x20913,x20911,x20914,x20915,x20916),f721(x20913,x20912,x20914,x20915,x20916))
% 28.33/28.24 [2092]~E(x20921,x20922)+E(f721(x20923,x20924,x20921,x20925,x20926),f721(x20923,x20924,x20922,x20925,x20926))
% 28.33/28.24 [2093]~E(x20931,x20932)+E(f721(x20933,x20934,x20935,x20931,x20936),f721(x20933,x20934,x20935,x20932,x20936))
% 28.33/28.24 [2094]~E(x20941,x20942)+E(f721(x20943,x20944,x20945,x20946,x20941),f721(x20943,x20944,x20945,x20946,x20942))
% 28.33/28.24 [2095]~E(x20951,x20952)+E(f396(x20951,x20953,x20954,x20955,x20956),f396(x20952,x20953,x20954,x20955,x20956))
% 28.33/28.24 [2096]~E(x20961,x20962)+E(f396(x20963,x20961,x20964,x20965,x20966),f396(x20963,x20962,x20964,x20965,x20966))
% 28.33/28.24 [2097]~E(x20971,x20972)+E(f396(x20973,x20974,x20971,x20975,x20976),f396(x20973,x20974,x20972,x20975,x20976))
% 28.33/28.24 [2098]~E(x20981,x20982)+E(f396(x20983,x20984,x20985,x20981,x20986),f396(x20983,x20984,x20985,x20982,x20986))
% 28.33/28.24 [2099]~E(x20991,x20992)+E(f396(x20993,x20994,x20995,x20996,x20991),f396(x20993,x20994,x20995,x20996,x20992))
% 28.33/28.24 [2100]~E(x21001,x21002)+E(f826(x21001,x21003),f826(x21002,x21003))
% 28.33/28.24 [2101]~E(x21011,x21012)+E(f826(x21013,x21011),f826(x21013,x21012))
% 28.33/28.24 [2102]~E(x21021,x21022)+E(f388(x21021,x21023,x21024),f388(x21022,x21023,x21024))
% 28.33/28.24 [2103]~E(x21031,x21032)+E(f388(x21033,x21031,x21034),f388(x21033,x21032,x21034))
% 28.33/28.24 [2104]~E(x21041,x21042)+E(f388(x21043,x21044,x21041),f388(x21043,x21044,x21042))
% 28.33/28.24 [2105]~E(x21051,x21052)+E(f457(x21051,x21053),f457(x21052,x21053))
% 28.33/28.24 [2106]~E(x21061,x21062)+E(f457(x21063,x21061),f457(x21063,x21062))
% 28.33/28.24 [2107]~E(x21071,x21072)+E(f369(x21071,x21073),f369(x21072,x21073))
% 28.33/28.24 [2108]~E(x21081,x21082)+E(f369(x21083,x21081),f369(x21083,x21082))
% 28.33/28.24 [2109]~E(x21091,x21092)+E(f761(x21091,x21093),f761(x21092,x21093))
% 28.33/28.24 [2110]~E(x21101,x21102)+E(f761(x21103,x21101),f761(x21103,x21102))
% 28.33/28.24 [2111]~E(x21111,x21112)+E(f215(x21111,x21113,x21114,x21115,x21116,x21117,x21118),f215(x21112,x21113,x21114,x21115,x21116,x21117,x21118))
% 28.33/28.24 [2112]~E(x21121,x21122)+E(f215(x21123,x21121,x21124,x21125,x21126,x21127,x21128),f215(x21123,x21122,x21124,x21125,x21126,x21127,x21128))
% 28.33/28.24 [2113]~E(x21131,x21132)+E(f215(x21133,x21134,x21131,x21135,x21136,x21137,x21138),f215(x21133,x21134,x21132,x21135,x21136,x21137,x21138))
% 28.33/28.24 [2114]~E(x21141,x21142)+E(f215(x21143,x21144,x21145,x21141,x21146,x21147,x21148),f215(x21143,x21144,x21145,x21142,x21146,x21147,x21148))
% 28.33/28.24 [2115]~E(x21151,x21152)+E(f215(x21153,x21154,x21155,x21156,x21151,x21157,x21158),f215(x21153,x21154,x21155,x21156,x21152,x21157,x21158))
% 28.33/28.24 [2116]~E(x21161,x21162)+E(f215(x21163,x21164,x21165,x21166,x21167,x21161,x21168),f215(x21163,x21164,x21165,x21166,x21167,x21162,x21168))
% 28.33/28.24 [2117]~E(x21171,x21172)+E(f215(x21173,x21174,x21175,x21176,x21177,x21178,x21171),f215(x21173,x21174,x21175,x21176,x21177,x21178,x21172))
% 28.33/28.24 [2118]~E(x21181,x21182)+E(f713(x21181,x21183,x21184,x21185,x21186),f713(x21182,x21183,x21184,x21185,x21186))
% 28.33/28.24 [2119]~E(x21191,x21192)+E(f713(x21193,x21191,x21194,x21195,x21196),f713(x21193,x21192,x21194,x21195,x21196))
% 28.33/28.24 [2120]~E(x21201,x21202)+E(f713(x21203,x21204,x21201,x21205,x21206),f713(x21203,x21204,x21202,x21205,x21206))
% 28.33/28.24 [2121]~E(x21211,x21212)+E(f713(x21213,x21214,x21215,x21211,x21216),f713(x21213,x21214,x21215,x21212,x21216))
% 28.33/28.24 [2122]~E(x21221,x21222)+E(f713(x21223,x21224,x21225,x21226,x21221),f713(x21223,x21224,x21225,x21226,x21222))
% 28.33/28.24 [2123]~E(x21231,x21232)+E(f597(x21231,x21233,x21234),f597(x21232,x21233,x21234))
% 28.33/28.24 [2124]~E(x21241,x21242)+E(f597(x21243,x21241,x21244),f597(x21243,x21242,x21244))
% 28.33/28.24 [2125]~E(x21251,x21252)+E(f597(x21253,x21254,x21251),f597(x21253,x21254,x21252))
% 28.33/28.24 [2126]~E(x21261,x21262)+E(f322(x21261,x21263,x21264),f322(x21262,x21263,x21264))
% 28.33/28.24 [2127]~E(x21271,x21272)+E(f322(x21273,x21271,x21274),f322(x21273,x21272,x21274))
% 28.33/28.24 [2128]~E(x21281,x21282)+E(f322(x21283,x21284,x21281),f322(x21283,x21284,x21282))
% 28.33/28.24 [2129]~E(x21291,x21292)+E(f862(x21291,x21293,x21294),f862(x21292,x21293,x21294))
% 28.33/28.24 [2130]~E(x21301,x21302)+E(f862(x21303,x21301,x21304),f862(x21303,x21302,x21304))
% 28.33/28.24 [2131]~E(x21311,x21312)+E(f862(x21313,x21314,x21311),f862(x21313,x21314,x21312))
% 28.33/28.24 [2132]~E(x21321,x21322)+E(f361(x21321,x21323,x21324),f361(x21322,x21323,x21324))
% 28.33/28.24 [2133]~E(x21331,x21332)+E(f361(x21333,x21331,x21334),f361(x21333,x21332,x21334))
% 28.33/28.24 [2134]~E(x21341,x21342)+E(f361(x21343,x21344,x21341),f361(x21343,x21344,x21342))
% 28.33/28.24 [2135]~E(x21351,x21352)+E(f751(x21351,x21353,x21354,x21355,x21356,x21357),f751(x21352,x21353,x21354,x21355,x21356,x21357))
% 28.33/28.24 [2136]~E(x21361,x21362)+E(f751(x21363,x21361,x21364,x21365,x21366,x21367),f751(x21363,x21362,x21364,x21365,x21366,x21367))
% 28.33/28.24 [2137]~E(x21371,x21372)+E(f751(x21373,x21374,x21371,x21375,x21376,x21377),f751(x21373,x21374,x21372,x21375,x21376,x21377))
% 28.33/28.24 [2138]~E(x21381,x21382)+E(f751(x21383,x21384,x21385,x21381,x21386,x21387),f751(x21383,x21384,x21385,x21382,x21386,x21387))
% 28.33/28.24 [2139]~E(x21391,x21392)+E(f751(x21393,x21394,x21395,x21396,x21391,x21397),f751(x21393,x21394,x21395,x21396,x21392,x21397))
% 28.33/28.24 [2140]~E(x21401,x21402)+E(f751(x21403,x21404,x21405,x21406,x21407,x21401),f751(x21403,x21404,x21405,x21406,x21407,x21402))
% 28.33/28.24 [2141]~E(x21411,x21412)+E(f774(x21411,x21413,x21414,x21415),f774(x21412,x21413,x21414,x21415))
% 28.33/28.24 [2142]~E(x21421,x21422)+E(f774(x21423,x21421,x21424,x21425),f774(x21423,x21422,x21424,x21425))
% 28.33/28.24 [2143]~E(x21431,x21432)+E(f774(x21433,x21434,x21431,x21435),f774(x21433,x21434,x21432,x21435))
% 28.33/28.24 [2144]~E(x21441,x21442)+E(f774(x21443,x21444,x21445,x21441),f774(x21443,x21444,x21445,x21442))
% 28.33/28.24 [2145]~E(x21451,x21452)+E(f383(x21451,x21453,x21454),f383(x21452,x21453,x21454))
% 28.33/28.24 [2146]~E(x21461,x21462)+E(f383(x21463,x21461,x21464),f383(x21463,x21462,x21464))
% 28.33/28.24 [2147]~E(x21471,x21472)+E(f383(x21473,x21474,x21471),f383(x21473,x21474,x21472))
% 28.33/28.24 [2148]~E(x21481,x21482)+E(f756(x21481,x21483,x21484),f756(x21482,x21483,x21484))
% 28.33/28.24 [2149]~E(x21491,x21492)+E(f756(x21493,x21491,x21494),f756(x21493,x21492,x21494))
% 28.33/28.24 [2150]~E(x21501,x21502)+E(f756(x21503,x21504,x21501),f756(x21503,x21504,x21502))
% 28.33/28.24 [2151]~E(x21511,x21512)+E(f540(x21511,x21513,x21514,x21515,x21516,x21517,x21518,x21519),f540(x21512,x21513,x21514,x21515,x21516,x21517,x21518,x21519))
% 28.33/28.24 [2152]~E(x21521,x21522)+E(f540(x21523,x21521,x21524,x21525,x21526,x21527,x21528,x21529),f540(x21523,x21522,x21524,x21525,x21526,x21527,x21528,x21529))
% 28.33/28.24 [2153]~E(x21531,x21532)+E(f540(x21533,x21534,x21531,x21535,x21536,x21537,x21538,x21539),f540(x21533,x21534,x21532,x21535,x21536,x21537,x21538,x21539))
% 28.33/28.24 [2154]~E(x21541,x21542)+E(f540(x21543,x21544,x21545,x21541,x21546,x21547,x21548,x21549),f540(x21543,x21544,x21545,x21542,x21546,x21547,x21548,x21549))
% 28.33/28.24 [2155]~E(x21551,x21552)+E(f540(x21553,x21554,x21555,x21556,x21551,x21557,x21558,x21559),f540(x21553,x21554,x21555,x21556,x21552,x21557,x21558,x21559))
% 28.33/28.24 [2156]~E(x21561,x21562)+E(f540(x21563,x21564,x21565,x21566,x21567,x21561,x21568,x21569),f540(x21563,x21564,x21565,x21566,x21567,x21562,x21568,x21569))
% 28.33/28.24 [2157]~E(x21571,x21572)+E(f540(x21573,x21574,x21575,x21576,x21577,x21578,x21571,x21579),f540(x21573,x21574,x21575,x21576,x21577,x21578,x21572,x21579))
% 28.33/28.24 [2158]~E(x21581,x21582)+E(f540(x21583,x21584,x21585,x21586,x21587,x21588,x21589,x21581),f540(x21583,x21584,x21585,x21586,x21587,x21588,x21589,x21582))
% 28.33/28.24 [2159]~E(x21591,x21592)+E(f422(x21591,x21593,x21594),f422(x21592,x21593,x21594))
% 28.33/28.24 [2160]~E(x21601,x21602)+E(f422(x21603,x21601,x21604),f422(x21603,x21602,x21604))
% 28.33/28.24 [2161]~E(x21611,x21612)+E(f422(x21613,x21614,x21611),f422(x21613,x21614,x21612))
% 28.33/28.24 [2162]~E(x21621,x21622)+E(f730(x21621,x21623,x21624,x21625,x21626),f730(x21622,x21623,x21624,x21625,x21626))
% 28.33/28.24 [2163]~E(x21631,x21632)+E(f730(x21633,x21631,x21634,x21635,x21636),f730(x21633,x21632,x21634,x21635,x21636))
% 28.33/28.24 [2164]~E(x21641,x21642)+E(f730(x21643,x21644,x21641,x21645,x21646),f730(x21643,x21644,x21642,x21645,x21646))
% 28.33/28.24 [2165]~E(x21651,x21652)+E(f730(x21653,x21654,x21655,x21651,x21656),f730(x21653,x21654,x21655,x21652,x21656))
% 28.33/28.24 [2166]~E(x21661,x21662)+E(f730(x21663,x21664,x21665,x21666,x21661),f730(x21663,x21664,x21665,x21666,x21662))
% 28.33/28.24 [2167]~E(x21671,x21672)+E(f758(x21671,x21673),f758(x21672,x21673))
% 28.33/28.24 [2168]~E(x21681,x21682)+E(f758(x21683,x21681),f758(x21683,x21682))
% 28.33/28.24 [2169]~E(x21691,x21692)+E(f508(x21691,x21693,x21694,x21695,x21696),f508(x21692,x21693,x21694,x21695,x21696))
% 28.33/28.24 [2170]~E(x21701,x21702)+E(f508(x21703,x21701,x21704,x21705,x21706),f508(x21703,x21702,x21704,x21705,x21706))
% 28.33/28.24 [2171]~E(x21711,x21712)+E(f508(x21713,x21714,x21711,x21715,x21716),f508(x21713,x21714,x21712,x21715,x21716))
% 28.33/28.24 [2172]~E(x21721,x21722)+E(f508(x21723,x21724,x21725,x21721,x21726),f508(x21723,x21724,x21725,x21722,x21726))
% 28.33/28.24 [2173]~E(x21731,x21732)+E(f508(x21733,x21734,x21735,x21736,x21731),f508(x21733,x21734,x21735,x21736,x21732))
% 28.33/28.24 [2174]~E(x21741,x21742)+E(f427(x21741,x21743,x21744,x21745),f427(x21742,x21743,x21744,x21745))
% 28.33/28.24 [2175]~E(x21751,x21752)+E(f427(x21753,x21751,x21754,x21755),f427(x21753,x21752,x21754,x21755))
% 28.33/28.24 [2176]~E(x21761,x21762)+E(f427(x21763,x21764,x21761,x21765),f427(x21763,x21764,x21762,x21765))
% 28.33/28.24 [2177]~E(x21771,x21772)+E(f427(x21773,x21774,x21775,x21771),f427(x21773,x21774,x21775,x21772))
% 28.33/28.24 [2178]~E(x21781,x21782)+E(f71(x21781,x21783,x21784),f71(x21782,x21783,x21784))
% 28.33/28.24 [2179]~E(x21791,x21792)+E(f71(x21793,x21791,x21794),f71(x21793,x21792,x21794))
% 28.33/28.24 [2180]~E(x21801,x21802)+E(f71(x21803,x21804,x21801),f71(x21803,x21804,x21802))
% 28.33/28.24 [2181]~E(x21811,x21812)+E(f279(x21811,x21813,x21814,x21815),f279(x21812,x21813,x21814,x21815))
% 28.33/28.24 [2182]~E(x21821,x21822)+E(f279(x21823,x21821,x21824,x21825),f279(x21823,x21822,x21824,x21825))
% 28.33/28.24 [2183]~E(x21831,x21832)+E(f279(x21833,x21834,x21831,x21835),f279(x21833,x21834,x21832,x21835))
% 28.33/28.24 [2184]~E(x21841,x21842)+E(f279(x21843,x21844,x21845,x21841),f279(x21843,x21844,x21845,x21842))
% 28.33/28.24 [2185]~E(x21851,x21852)+E(f691(x21851,x21853),f691(x21852,x21853))
% 28.33/28.24 [2186]~E(x21861,x21862)+E(f691(x21863,x21861),f691(x21863,x21862))
% 28.33/28.24 [2187]~E(x21871,x21872)+E(f613(x21871,x21873,x21874,x21875),f613(x21872,x21873,x21874,x21875))
% 28.33/28.24 [2188]~E(x21881,x21882)+E(f613(x21883,x21881,x21884,x21885),f613(x21883,x21882,x21884,x21885))
% 28.33/28.24 [2189]~E(x21891,x21892)+E(f613(x21893,x21894,x21891,x21895),f613(x21893,x21894,x21892,x21895))
% 28.33/28.24 [2190]~E(x21901,x21902)+E(f613(x21903,x21904,x21905,x21901),f613(x21903,x21904,x21905,x21902))
% 28.33/28.24 [2191]~E(x21911,x21912)+E(f275(x21911,x21913,x21914,x21915),f275(x21912,x21913,x21914,x21915))
% 28.33/28.24 [2192]~E(x21921,x21922)+E(f275(x21923,x21921,x21924,x21925),f275(x21923,x21922,x21924,x21925))
% 28.33/28.24 [2193]~E(x21931,x21932)+E(f275(x21933,x21934,x21931,x21935),f275(x21933,x21934,x21932,x21935))
% 28.33/28.24 [2194]~E(x21941,x21942)+E(f275(x21943,x21944,x21945,x21941),f275(x21943,x21944,x21945,x21942))
% 28.33/28.24 [2195]~E(x21951,x21952)+E(f506(x21951,x21953,x21954,x21955,x21956),f506(x21952,x21953,x21954,x21955,x21956))
% 28.33/28.24 [2196]~E(x21961,x21962)+E(f506(x21963,x21961,x21964,x21965,x21966),f506(x21963,x21962,x21964,x21965,x21966))
% 28.33/28.24 [2197]~E(x21971,x21972)+E(f506(x21973,x21974,x21971,x21975,x21976),f506(x21973,x21974,x21972,x21975,x21976))
% 28.33/28.24 [2198]~E(x21981,x21982)+E(f506(x21983,x21984,x21985,x21981,x21986),f506(x21983,x21984,x21985,x21982,x21986))
% 28.33/28.24 [2199]~E(x21991,x21992)+E(f506(x21993,x21994,x21995,x21996,x21991),f506(x21993,x21994,x21995,x21996,x21992))
% 28.33/28.24 [2200]~E(x22001,x22002)+E(f385(x22001,x22003,x22004,x22005),f385(x22002,x22003,x22004,x22005))
% 28.33/28.24 [2201]~E(x22011,x22012)+E(f385(x22013,x22011,x22014,x22015),f385(x22013,x22012,x22014,x22015))
% 28.33/28.24 [2202]~E(x22021,x22022)+E(f385(x22023,x22024,x22021,x22025),f385(x22023,x22024,x22022,x22025))
% 28.33/28.24 [2203]~E(x22031,x22032)+E(f385(x22033,x22034,x22035,x22031),f385(x22033,x22034,x22035,x22032))
% 28.33/28.24 [2204]~E(x22041,x22042)+E(f619(x22041,x22043,x22044,x22045,x22046),f619(x22042,x22043,x22044,x22045,x22046))
% 28.33/28.24 [2205]~E(x22051,x22052)+E(f619(x22053,x22051,x22054,x22055,x22056),f619(x22053,x22052,x22054,x22055,x22056))
% 28.33/28.24 [2206]~E(x22061,x22062)+E(f619(x22063,x22064,x22061,x22065,x22066),f619(x22063,x22064,x22062,x22065,x22066))
% 28.33/28.24 [2207]~E(x22071,x22072)+E(f619(x22073,x22074,x22075,x22071,x22076),f619(x22073,x22074,x22075,x22072,x22076))
% 28.33/28.24 [2208]~E(x22081,x22082)+E(f619(x22083,x22084,x22085,x22086,x22081),f619(x22083,x22084,x22085,x22086,x22082))
% 28.33/28.24 [2209]~E(x22091,x22092)+E(f274(x22091,x22093),f274(x22092,x22093))
% 28.33/28.24 [2210]~E(x22101,x22102)+E(f274(x22103,x22101),f274(x22103,x22102))
% 28.33/28.24 [2211]~E(x22111,x22112)+E(f586(x22111,x22113,x22114),f586(x22112,x22113,x22114))
% 28.33/28.24 [2212]~E(x22121,x22122)+E(f586(x22123,x22121,x22124),f586(x22123,x22122,x22124))
% 28.33/28.24 [2213]~E(x22131,x22132)+E(f586(x22133,x22134,x22131),f586(x22133,x22134,x22132))
% 28.33/28.24 [2214]~E(x22141,x22142)+E(f584(x22141,x22143,x22144),f584(x22142,x22143,x22144))
% 28.33/28.24 [2215]~E(x22151,x22152)+E(f584(x22153,x22151,x22154),f584(x22153,x22152,x22154))
% 28.33/28.24 [2216]~E(x22161,x22162)+E(f584(x22163,x22164,x22161),f584(x22163,x22164,x22162))
% 28.33/28.24 [2217]~E(x22171,x22172)+E(f702(x22171,x22173,x22174,x22175,x22176,x22177),f702(x22172,x22173,x22174,x22175,x22176,x22177))
% 28.33/28.24 [2218]~E(x22181,x22182)+E(f702(x22183,x22181,x22184,x22185,x22186,x22187),f702(x22183,x22182,x22184,x22185,x22186,x22187))
% 28.33/28.24 [2219]~E(x22191,x22192)+E(f702(x22193,x22194,x22191,x22195,x22196,x22197),f702(x22193,x22194,x22192,x22195,x22196,x22197))
% 28.33/28.24 [2220]~E(x22201,x22202)+E(f702(x22203,x22204,x22205,x22201,x22206,x22207),f702(x22203,x22204,x22205,x22202,x22206,x22207))
% 28.33/28.24 [2221]~E(x22211,x22212)+E(f702(x22213,x22214,x22215,x22216,x22211,x22217),f702(x22213,x22214,x22215,x22216,x22212,x22217))
% 28.33/28.24 [2222]~E(x22221,x22222)+E(f702(x22223,x22224,x22225,x22226,x22227,x22221),f702(x22223,x22224,x22225,x22226,x22227,x22222))
% 28.33/28.24 [2223]~E(x22231,x22232)+E(f873(x22231,x22233,x22234,x22235),f873(x22232,x22233,x22234,x22235))
% 28.33/28.24 [2224]~E(x22241,x22242)+E(f873(x22243,x22241,x22244,x22245),f873(x22243,x22242,x22244,x22245))
% 28.33/28.24 [2225]~E(x22251,x22252)+E(f873(x22253,x22254,x22251,x22255),f873(x22253,x22254,x22252,x22255))
% 28.33/28.24 [2226]~E(x22261,x22262)+E(f873(x22263,x22264,x22265,x22261),f873(x22263,x22264,x22265,x22262))
% 28.33/28.24 [2227]~E(x22271,x22272)+E(f705(x22271,x22273,x22274,x22275),f705(x22272,x22273,x22274,x22275))
% 28.33/28.24 [2228]~E(x22281,x22282)+E(f705(x22283,x22281,x22284,x22285),f705(x22283,x22282,x22284,x22285))
% 28.33/28.24 [2229]~E(x22291,x22292)+E(f705(x22293,x22294,x22291,x22295),f705(x22293,x22294,x22292,x22295))
% 28.33/28.24 [2230]~E(x22301,x22302)+E(f705(x22303,x22304,x22305,x22301),f705(x22303,x22304,x22305,x22302))
% 28.33/28.24 [2231]~E(x22311,x22312)+E(f821(x22311,x22313,x22314,x22315),f821(x22312,x22313,x22314,x22315))
% 28.33/28.24 [2232]~E(x22321,x22322)+E(f821(x22323,x22321,x22324,x22325),f821(x22323,x22322,x22324,x22325))
% 28.33/28.24 [2233]~E(x22331,x22332)+E(f821(x22333,x22334,x22331,x22335),f821(x22333,x22334,x22332,x22335))
% 28.33/28.24 [2234]~E(x22341,x22342)+E(f821(x22343,x22344,x22345,x22341),f821(x22343,x22344,x22345,x22342))
% 28.33/28.24 [2235]~E(x22351,x22352)+E(f710(x22351,x22353,x22354),f710(x22352,x22353,x22354))
% 28.33/28.24 [2236]~E(x22361,x22362)+E(f710(x22363,x22361,x22364),f710(x22363,x22362,x22364))
% 28.33/28.24 [2237]~E(x22371,x22372)+E(f710(x22373,x22374,x22371),f710(x22373,x22374,x22372))
% 28.33/28.24 [2238]~E(x22381,x22382)+E(f898(x22381,x22383,x22384,x22385,x22386),f898(x22382,x22383,x22384,x22385,x22386))
% 28.33/28.24 [2239]~E(x22391,x22392)+E(f898(x22393,x22391,x22394,x22395,x22396),f898(x22393,x22392,x22394,x22395,x22396))
% 28.33/28.24 [2240]~E(x22401,x22402)+E(f898(x22403,x22404,x22401,x22405,x22406),f898(x22403,x22404,x22402,x22405,x22406))
% 28.33/28.24 [2241]~E(x22411,x22412)+E(f898(x22413,x22414,x22415,x22411,x22416),f898(x22413,x22414,x22415,x22412,x22416))
% 28.33/28.24 [2242]~E(x22421,x22422)+E(f898(x22423,x22424,x22425,x22426,x22421),f898(x22423,x22424,x22425,x22426,x22422))
% 28.33/28.24 [2243]~E(x22431,x22432)+E(f823(x22431,x22433,x22434,x22435),f823(x22432,x22433,x22434,x22435))
% 28.33/28.24 [2244]~E(x22441,x22442)+E(f823(x22443,x22441,x22444,x22445),f823(x22443,x22442,x22444,x22445))
% 28.33/28.24 [2245]~E(x22451,x22452)+E(f823(x22453,x22454,x22451,x22455),f823(x22453,x22454,x22452,x22455))
% 28.33/28.24 [2246]~E(x22461,x22462)+E(f823(x22463,x22464,x22465,x22461),f823(x22463,x22464,x22465,x22462))
% 28.33/28.24 [2247]~E(x22471,x22472)+E(f507(x22471,x22473,x22474,x22475),f507(x22472,x22473,x22474,x22475))
% 28.33/28.24 [2248]~E(x22481,x22482)+E(f507(x22483,x22481,x22484,x22485),f507(x22483,x22482,x22484,x22485))
% 28.33/28.24 [2249]~E(x22491,x22492)+E(f507(x22493,x22494,x22491,x22495),f507(x22493,x22494,x22492,x22495))
% 28.33/28.24 [2250]~E(x22501,x22502)+E(f507(x22503,x22504,x22505,x22501),f507(x22503,x22504,x22505,x22502))
% 28.33/28.24 [2251]~E(x22511,x22512)+E(f747(x22511,x22513,x22514),f747(x22512,x22513,x22514))
% 28.33/28.24 [2252]~E(x22521,x22522)+E(f747(x22523,x22521,x22524),f747(x22523,x22522,x22524))
% 28.33/28.24 [2253]~E(x22531,x22532)+E(f747(x22533,x22534,x22531),f747(x22533,x22534,x22532))
% 28.33/28.24 [2254]~E(x22541,x22542)+E(f463(x22541,x22543,x22544,x22545),f463(x22542,x22543,x22544,x22545))
% 28.33/28.24 [2255]~E(x22551,x22552)+E(f463(x22553,x22551,x22554,x22555),f463(x22553,x22552,x22554,x22555))
% 28.33/28.24 [2256]~E(x22561,x22562)+E(f463(x22563,x22564,x22561,x22565),f463(x22563,x22564,x22562,x22565))
% 28.33/28.24 [2257]~E(x22571,x22572)+E(f463(x22573,x22574,x22575,x22571),f463(x22573,x22574,x22575,x22572))
% 28.33/28.24 [2258]~E(x22581,x22582)+E(f699(x22581,x22583,x22584,x22585,x22586),f699(x22582,x22583,x22584,x22585,x22586))
% 28.33/28.24 [2259]~E(x22591,x22592)+E(f699(x22593,x22591,x22594,x22595,x22596),f699(x22593,x22592,x22594,x22595,x22596))
% 28.33/28.24 [2260]~E(x22601,x22602)+E(f699(x22603,x22604,x22601,x22605,x22606),f699(x22603,x22604,x22602,x22605,x22606))
% 28.33/28.24 [2261]~E(x22611,x22612)+E(f699(x22613,x22614,x22615,x22611,x22616),f699(x22613,x22614,x22615,x22612,x22616))
% 28.33/28.24 [2262]~E(x22621,x22622)+E(f699(x22623,x22624,x22625,x22626,x22621),f699(x22623,x22624,x22625,x22626,x22622))
% 28.33/28.24 [2263]~E(x22631,x22632)+E(f732(x22631,x22633,x22634,x22635,x22636),f732(x22632,x22633,x22634,x22635,x22636))
% 28.33/28.24 [2264]~E(x22641,x22642)+E(f732(x22643,x22641,x22644,x22645,x22646),f732(x22643,x22642,x22644,x22645,x22646))
% 28.33/28.24 [2265]~E(x22651,x22652)+E(f732(x22653,x22654,x22651,x22655,x22656),f732(x22653,x22654,x22652,x22655,x22656))
% 28.33/28.24 [2266]~E(x22661,x22662)+E(f732(x22663,x22664,x22665,x22661,x22666),f732(x22663,x22664,x22665,x22662,x22666))
% 28.33/28.24 [2267]~E(x22671,x22672)+E(f732(x22673,x22674,x22675,x22676,x22671),f732(x22673,x22674,x22675,x22676,x22672))
% 28.33/28.24 [2268]~E(x22681,x22682)+E(f841(x22681,x22683,x22684,x22685,x22686),f841(x22682,x22683,x22684,x22685,x22686))
% 28.33/28.24 [2269]~E(x22691,x22692)+E(f841(x22693,x22691,x22694,x22695,x22696),f841(x22693,x22692,x22694,x22695,x22696))
% 28.33/28.24 [2270]~E(x22701,x22702)+E(f841(x22703,x22704,x22701,x22705,x22706),f841(x22703,x22704,x22702,x22705,x22706))
% 28.33/28.24 [2271]~E(x22711,x22712)+E(f841(x22713,x22714,x22715,x22711,x22716),f841(x22713,x22714,x22715,x22712,x22716))
% 28.33/28.24 [2272]~E(x22721,x22722)+E(f841(x22723,x22724,x22725,x22726,x22721),f841(x22723,x22724,x22725,x22726,x22722))
% 28.33/28.24 [2273]~E(x22731,x22732)+E(f587(x22731,x22733,x22734,x22735,x22736),f587(x22732,x22733,x22734,x22735,x22736))
% 28.33/28.24 [2274]~E(x22741,x22742)+E(f587(x22743,x22741,x22744,x22745,x22746),f587(x22743,x22742,x22744,x22745,x22746))
% 28.33/28.24 [2275]~E(x22751,x22752)+E(f587(x22753,x22754,x22751,x22755,x22756),f587(x22753,x22754,x22752,x22755,x22756))
% 28.33/28.24 [2276]~E(x22761,x22762)+E(f587(x22763,x22764,x22765,x22761,x22766),f587(x22763,x22764,x22765,x22762,x22766))
% 28.33/28.24 [2277]~E(x22771,x22772)+E(f587(x22773,x22774,x22775,x22776,x22771),f587(x22773,x22774,x22775,x22776,x22772))
% 28.33/28.24 [2278]~E(x22781,x22782)+E(f295(x22781,x22783,x22784),f295(x22782,x22783,x22784))
% 28.33/28.24 [2279]~E(x22791,x22792)+E(f295(x22793,x22791,x22794),f295(x22793,x22792,x22794))
% 28.33/28.24 [2280]~E(x22801,x22802)+E(f295(x22803,x22804,x22801),f295(x22803,x22804,x22802))
% 28.33/28.24 [2281]~E(x22811,x22812)+E(f659(x22811,x22813,x22814),f659(x22812,x22813,x22814))
% 28.33/28.24 [2282]~E(x22821,x22822)+E(f659(x22823,x22821,x22824),f659(x22823,x22822,x22824))
% 28.33/28.24 [2283]~E(x22831,x22832)+E(f659(x22833,x22834,x22831),f659(x22833,x22834,x22832))
% 28.33/28.24 [2284]~E(x22841,x22842)+E(f435(x22841,x22843),f435(x22842,x22843))
% 28.33/28.24 [2285]~E(x22851,x22852)+E(f435(x22853,x22851),f435(x22853,x22852))
% 28.33/28.24 [2286]~E(x22861,x22862)+E(f693(x22861,x22863),f693(x22862,x22863))
% 28.33/28.24 [2287]~E(x22871,x22872)+E(f693(x22873,x22871),f693(x22873,x22872))
% 28.33/28.24 [2288]~E(x22881,x22882)+E(f338(x22881,x22883,x22884,x22885),f338(x22882,x22883,x22884,x22885))
% 28.33/28.24 [2289]~E(x22891,x22892)+E(f338(x22893,x22891,x22894,x22895),f338(x22893,x22892,x22894,x22895))
% 28.33/28.24 [2290]~E(x22901,x22902)+E(f338(x22903,x22904,x22901,x22905),f338(x22903,x22904,x22902,x22905))
% 28.33/28.24 [2291]~E(x22911,x22912)+E(f338(x22913,x22914,x22915,x22911),f338(x22913,x22914,x22915,x22912))
% 28.33/28.24 [2292]~E(x22921,x22922)+E(f420(x22921,x22923,x22924),f420(x22922,x22923,x22924))
% 28.33/28.24 [2293]~E(x22931,x22932)+E(f420(x22933,x22931,x22934),f420(x22933,x22932,x22934))
% 28.33/28.24 [2294]~E(x22941,x22942)+E(f420(x22943,x22944,x22941),f420(x22943,x22944,x22942))
% 28.33/28.24 [2295]~E(x22951,x22952)+E(f530(x22951,x22953,x22954,x22955),f530(x22952,x22953,x22954,x22955))
% 28.33/28.24 [2296]~E(x22961,x22962)+E(f530(x22963,x22961,x22964,x22965),f530(x22963,x22962,x22964,x22965))
% 28.33/28.24 [2297]~E(x22971,x22972)+E(f530(x22973,x22974,x22971,x22975),f530(x22973,x22974,x22972,x22975))
% 28.33/28.24 [2298]~E(x22981,x22982)+E(f530(x22983,x22984,x22985,x22981),f530(x22983,x22984,x22985,x22982))
% 28.33/28.24 [2299]~E(x22991,x22992)+E(f895(x22991,x22993,x22994),f895(x22992,x22993,x22994))
% 28.33/28.24 [2300]~E(x23001,x23002)+E(f895(x23003,x23001,x23004),f895(x23003,x23002,x23004))
% 28.33/28.24 [2301]~E(x23011,x23012)+E(f895(x23013,x23014,x23011),f895(x23013,x23014,x23012))
% 28.33/28.24 [2302]~E(x23021,x23022)+E(f99(x23021,x23023,x23024,x23025),f99(x23022,x23023,x23024,x23025))
% 28.33/28.24 [2303]~E(x23031,x23032)+E(f99(x23033,x23031,x23034,x23035),f99(x23033,x23032,x23034,x23035))
% 28.33/28.24 [2304]~E(x23041,x23042)+E(f99(x23043,x23044,x23041,x23045),f99(x23043,x23044,x23042,x23045))
% 28.33/28.24 [2305]~E(x23051,x23052)+E(f99(x23053,x23054,x23055,x23051),f99(x23053,x23054,x23055,x23052))
% 28.33/28.24 [2306]~E(x23061,x23062)+E(f97(x23061,x23063,x23064),f97(x23062,x23063,x23064))
% 28.33/28.24 [2307]~E(x23071,x23072)+E(f97(x23073,x23071,x23074),f97(x23073,x23072,x23074))
% 28.33/28.24 [2308]~E(x23081,x23082)+E(f97(x23083,x23084,x23081),f97(x23083,x23084,x23082))
% 28.33/28.24 [2309]~E(x23091,x23092)+E(f735(x23091,x23093,x23094,x23095,x23096),f735(x23092,x23093,x23094,x23095,x23096))
% 28.33/28.24 [2310]~E(x23101,x23102)+E(f735(x23103,x23101,x23104,x23105,x23106),f735(x23103,x23102,x23104,x23105,x23106))
% 28.33/28.24 [2311]~E(x23111,x23112)+E(f735(x23113,x23114,x23111,x23115,x23116),f735(x23113,x23114,x23112,x23115,x23116))
% 28.33/28.24 [2312]~E(x23121,x23122)+E(f735(x23123,x23124,x23125,x23121,x23126),f735(x23123,x23124,x23125,x23122,x23126))
% 28.33/28.24 [2313]~E(x23131,x23132)+E(f735(x23133,x23134,x23135,x23136,x23131),f735(x23133,x23134,x23135,x23136,x23132))
% 28.33/28.24 [2314]~E(x23141,x23142)+E(f485(x23141,x23143,x23144),f485(x23142,x23143,x23144))
% 28.33/28.24 [2315]~E(x23151,x23152)+E(f485(x23153,x23151,x23154),f485(x23153,x23152,x23154))
% 28.33/28.24 [2316]~E(x23161,x23162)+E(f485(x23163,x23164,x23161),f485(x23163,x23164,x23162))
% 28.33/28.24 [2317]~E(x23171,x23172)+E(f450(x23171,x23173,x23174,x23175),f450(x23172,x23173,x23174,x23175))
% 28.33/28.24 [2318]~E(x23181,x23182)+E(f450(x23183,x23181,x23184,x23185),f450(x23183,x23182,x23184,x23185))
% 28.33/28.24 [2319]~E(x23191,x23192)+E(f450(x23193,x23194,x23191,x23195),f450(x23193,x23194,x23192,x23195))
% 28.33/28.24 [2320]~E(x23201,x23202)+E(f450(x23203,x23204,x23205,x23201),f450(x23203,x23204,x23205,x23202))
% 28.33/28.24 [2321]~E(x23211,x23212)+E(f731(x23211,x23213,x23214,x23215),f731(x23212,x23213,x23214,x23215))
% 28.33/28.24 [2322]~E(x23221,x23222)+E(f731(x23223,x23221,x23224,x23225),f731(x23223,x23222,x23224,x23225))
% 28.33/28.24 [2323]~E(x23231,x23232)+E(f731(x23233,x23234,x23231,x23235),f731(x23233,x23234,x23232,x23235))
% 28.33/28.24 [2324]~E(x23241,x23242)+E(f731(x23243,x23244,x23245,x23241),f731(x23243,x23244,x23245,x23242))
% 28.33/28.24 [2325]~E(x23251,x23252)+E(f819(x23251),f819(x23252))
% 28.33/28.24 [2326]~E(x23261,x23262)+E(f653(x23261,x23263),f653(x23262,x23263))
% 28.33/28.24 [2327]~E(x23271,x23272)+E(f653(x23273,x23271),f653(x23273,x23272))
% 28.33/28.24 [2328]~E(x23281,x23282)+E(f694(x23281,x23283,x23284,x23285),f694(x23282,x23283,x23284,x23285))
% 28.33/28.24 [2329]~E(x23291,x23292)+E(f694(x23293,x23291,x23294,x23295),f694(x23293,x23292,x23294,x23295))
% 28.33/28.24 [2330]~E(x23301,x23302)+E(f694(x23303,x23304,x23301,x23305),f694(x23303,x23304,x23302,x23305))
% 28.33/28.24 [2331]~E(x23311,x23312)+E(f694(x23313,x23314,x23315,x23311),f694(x23313,x23314,x23315,x23312))
% 28.33/28.24 [2332]~E(x23321,x23322)+E(f414(x23321,x23323,x23324),f414(x23322,x23323,x23324))
% 28.33/28.24 [2333]~E(x23331,x23332)+E(f414(x23333,x23331,x23334),f414(x23333,x23332,x23334))
% 28.33/28.24 [2334]~E(x23341,x23342)+E(f414(x23343,x23344,x23341),f414(x23343,x23344,x23342))
% 28.33/28.24 [2335]~E(x23351,x23352)+E(f648(x23351,x23353),f648(x23352,x23353))
% 28.33/28.24 [2336]~E(x23361,x23362)+E(f648(x23363,x23361),f648(x23363,x23362))
% 28.33/28.24 [2337]~E(x23371,x23372)+E(f342(x23371,x23373,x23374,x23375,x23376),f342(x23372,x23373,x23374,x23375,x23376))
% 28.33/28.24 [2338]~E(x23381,x23382)+E(f342(x23383,x23381,x23384,x23385,x23386),f342(x23383,x23382,x23384,x23385,x23386))
% 28.33/28.24 [2339]~E(x23391,x23392)+E(f342(x23393,x23394,x23391,x23395,x23396),f342(x23393,x23394,x23392,x23395,x23396))
% 28.33/28.24 [2340]~E(x23401,x23402)+E(f342(x23403,x23404,x23405,x23401,x23406),f342(x23403,x23404,x23405,x23402,x23406))
% 28.33/28.24 [2341]~E(x23411,x23412)+E(f342(x23413,x23414,x23415,x23416,x23411),f342(x23413,x23414,x23415,x23416,x23412))
% 28.33/28.24 [2342]~E(x23421,x23422)+E(f378(x23421,x23423,x23424,x23425),f378(x23422,x23423,x23424,x23425))
% 28.33/28.24 [2343]~E(x23431,x23432)+E(f378(x23433,x23431,x23434,x23435),f378(x23433,x23432,x23434,x23435))
% 28.33/28.24 [2344]~E(x23441,x23442)+E(f378(x23443,x23444,x23441,x23445),f378(x23443,x23444,x23442,x23445))
% 28.33/28.24 [2345]~E(x23451,x23452)+E(f378(x23453,x23454,x23455,x23451),f378(x23453,x23454,x23455,x23452))
% 28.33/28.24 [2346]~E(x23461,x23462)+E(f487(x23461,x23463,x23464,x23465,x23466),f487(x23462,x23463,x23464,x23465,x23466))
% 28.33/28.24 [2347]~E(x23471,x23472)+E(f487(x23473,x23471,x23474,x23475,x23476),f487(x23473,x23472,x23474,x23475,x23476))
% 28.33/28.24 [2348]~E(x23481,x23482)+E(f487(x23483,x23484,x23481,x23485,x23486),f487(x23483,x23484,x23482,x23485,x23486))
% 28.33/28.24 [2349]~E(x23491,x23492)+E(f487(x23493,x23494,x23495,x23491,x23496),f487(x23493,x23494,x23495,x23492,x23496))
% 28.33/28.24 [2350]~E(x23501,x23502)+E(f487(x23503,x23504,x23505,x23506,x23501),f487(x23503,x23504,x23505,x23506,x23502))
% 28.33/28.24 [2351]~E(x23511,x23512)+E(f23(x23511,x23513),f23(x23512,x23513))
% 28.33/28.24 [2352]~E(x23521,x23522)+E(f23(x23523,x23521),f23(x23523,x23522))
% 28.33/28.24 [2353]~E(x23531,x23532)+E(f798(x23531,x23533,x23534,x23535),f798(x23532,x23533,x23534,x23535))
% 28.33/28.24 [2354]~E(x23541,x23542)+E(f798(x23543,x23541,x23544,x23545),f798(x23543,x23542,x23544,x23545))
% 28.33/28.24 [2355]~E(x23551,x23552)+E(f798(x23553,x23554,x23551,x23555),f798(x23553,x23554,x23552,x23555))
% 28.33/28.24 [2356]~E(x23561,x23562)+E(f798(x23563,x23564,x23565,x23561),f798(x23563,x23564,x23565,x23562))
% 28.33/28.24 [2357]~E(x23571,x23572)+E(f661(x23571,x23573),f661(x23572,x23573))
% 28.33/28.24 [2358]~E(x23581,x23582)+E(f661(x23583,x23581),f661(x23583,x23582))
% 28.33/28.24 [2359]~E(x23591,x23592)+E(f869(x23591,x23593,x23594),f869(x23592,x23593,x23594))
% 28.33/28.24 [2360]~E(x23601,x23602)+E(f869(x23603,x23601,x23604),f869(x23603,x23602,x23604))
% 28.33/28.24 [2361]~E(x23611,x23612)+E(f869(x23613,x23614,x23611),f869(x23613,x23614,x23612))
% 28.33/28.24 [2362]~E(x23621,x23622)+E(f874(x23621,x23623,x23624),f874(x23622,x23623,x23624))
% 28.33/28.24 [2363]~E(x23631,x23632)+E(f874(x23633,x23631,x23634),f874(x23633,x23632,x23634))
% 28.33/28.24 [2364]~E(x23641,x23642)+E(f874(x23643,x23644,x23641),f874(x23643,x23644,x23642))
% 28.33/28.24 [2365]~E(x23651,x23652)+E(f532(x23651,x23653,x23654,x23655,x23656,x23657),f532(x23652,x23653,x23654,x23655,x23656,x23657))
% 28.33/28.24 [2366]~E(x23661,x23662)+E(f532(x23663,x23661,x23664,x23665,x23666,x23667),f532(x23663,x23662,x23664,x23665,x23666,x23667))
% 28.33/28.24 [2367]~E(x23671,x23672)+E(f532(x23673,x23674,x23671,x23675,x23676,x23677),f532(x23673,x23674,x23672,x23675,x23676,x23677))
% 28.33/28.24 [2368]~E(x23681,x23682)+E(f532(x23683,x23684,x23685,x23681,x23686,x23687),f532(x23683,x23684,x23685,x23682,x23686,x23687))
% 28.33/28.24 [2369]~E(x23691,x23692)+E(f532(x23693,x23694,x23695,x23696,x23691,x23697),f532(x23693,x23694,x23695,x23696,x23692,x23697))
% 28.33/28.24 [2370]~E(x23701,x23702)+E(f532(x23703,x23704,x23705,x23706,x23707,x23701),f532(x23703,x23704,x23705,x23706,x23707,x23702))
% 28.33/28.24 [2371]~E(x23711,x23712)+E(f631(x23711,x23713,x23714),f631(x23712,x23713,x23714))
% 28.33/28.24 [2372]~E(x23721,x23722)+E(f631(x23723,x23721,x23724),f631(x23723,x23722,x23724))
% 28.33/28.24 [2373]~E(x23731,x23732)+E(f631(x23733,x23734,x23731),f631(x23733,x23734,x23732))
% 28.33/28.24 [2374]~E(x23741,x23742)+E(f208(x23741),f208(x23742))
% 28.33/28.24 [2375]~E(x23751,x23752)+E(f375(x23751,x23753,x23754,x23755),f375(x23752,x23753,x23754,x23755))
% 28.33/28.24 [2376]~E(x23761,x23762)+E(f375(x23763,x23761,x23764,x23765),f375(x23763,x23762,x23764,x23765))
% 28.33/28.24 [2377]~E(x23771,x23772)+E(f375(x23773,x23774,x23771,x23775),f375(x23773,x23774,x23772,x23775))
% 28.33/28.24 [2378]~E(x23781,x23782)+E(f375(x23783,x23784,x23785,x23781),f375(x23783,x23784,x23785,x23782))
% 28.33/28.24 [2379]~E(x23791,x23792)+E(f883(x23791,x23793,x23794,x23795,x23796,x23797,x23798),f883(x23792,x23793,x23794,x23795,x23796,x23797,x23798))
% 28.33/28.24 [2380]~E(x23801,x23802)+E(f883(x23803,x23801,x23804,x23805,x23806,x23807,x23808),f883(x23803,x23802,x23804,x23805,x23806,x23807,x23808))
% 28.33/28.24 [2381]~E(x23811,x23812)+E(f883(x23813,x23814,x23811,x23815,x23816,x23817,x23818),f883(x23813,x23814,x23812,x23815,x23816,x23817,x23818))
% 28.33/28.24 [2382]~E(x23821,x23822)+E(f883(x23823,x23824,x23825,x23821,x23826,x23827,x23828),f883(x23823,x23824,x23825,x23822,x23826,x23827,x23828))
% 28.33/28.24 [2383]~E(x23831,x23832)+E(f883(x23833,x23834,x23835,x23836,x23831,x23837,x23838),f883(x23833,x23834,x23835,x23836,x23832,x23837,x23838))
% 28.33/28.24 [2384]~E(x23841,x23842)+E(f883(x23843,x23844,x23845,x23846,x23847,x23841,x23848),f883(x23843,x23844,x23845,x23846,x23847,x23842,x23848))
% 28.33/28.24 [2385]~E(x23851,x23852)+E(f883(x23853,x23854,x23855,x23856,x23857,x23858,x23851),f883(x23853,x23854,x23855,x23856,x23857,x23858,x23852))
% 28.33/28.24 [2386]~E(x23861,x23862)+E(f767(x23861,x23863,x23864),f767(x23862,x23863,x23864))
% 28.33/28.24 [2387]~E(x23871,x23872)+E(f767(x23873,x23871,x23874),f767(x23873,x23872,x23874))
% 28.33/28.24 [2388]~E(x23881,x23882)+E(f767(x23883,x23884,x23881),f767(x23883,x23884,x23882))
% 28.33/28.24 [2389]~E(x23891,x23892)+E(f201(x23891,x23893,x23894,x23895),f201(x23892,x23893,x23894,x23895))
% 28.33/28.24 [2390]~E(x23901,x23902)+E(f201(x23903,x23901,x23904,x23905),f201(x23903,x23902,x23904,x23905))
% 28.33/28.24 [2391]~E(x23911,x23912)+E(f201(x23913,x23914,x23911,x23915),f201(x23913,x23914,x23912,x23915))
% 28.33/28.24 [2392]~E(x23921,x23922)+E(f201(x23923,x23924,x23925,x23921),f201(x23923,x23924,x23925,x23922))
% 28.33/28.24 [2393]~E(x23931,x23932)+E(f529(x23931,x23933),f529(x23932,x23933))
% 28.33/28.24 [2394]~E(x23941,x23942)+E(f529(x23943,x23941),f529(x23943,x23942))
% 28.33/28.24 [2395]~E(x23951,x23952)+E(f617(x23951,x23953,x23954,x23955,x23956),f617(x23952,x23953,x23954,x23955,x23956))
% 28.33/28.24 [2396]~E(x23961,x23962)+E(f617(x23963,x23961,x23964,x23965,x23966),f617(x23963,x23962,x23964,x23965,x23966))
% 28.33/28.24 [2397]~E(x23971,x23972)+E(f617(x23973,x23974,x23971,x23975,x23976),f617(x23973,x23974,x23972,x23975,x23976))
% 28.33/28.24 [2398]~E(x23981,x23982)+E(f617(x23983,x23984,x23985,x23981,x23986),f617(x23983,x23984,x23985,x23982,x23986))
% 28.33/28.24 [2399]~E(x23991,x23992)+E(f617(x23993,x23994,x23995,x23996,x23991),f617(x23993,x23994,x23995,x23996,x23992))
% 28.33/28.24 [2400]~E(x24001,x24002)+E(f663(x24001,x24003,x24004),f663(x24002,x24003,x24004))
% 28.33/28.24 [2401]~E(x24011,x24012)+E(f663(x24013,x24011,x24014),f663(x24013,x24012,x24014))
% 28.33/28.24 [2402]~E(x24021,x24022)+E(f663(x24023,x24024,x24021),f663(x24023,x24024,x24022))
% 28.33/28.24 [2403]~E(x24031,x24032)+E(f633(x24031,x24033),f633(x24032,x24033))
% 28.33/28.24 [2404]~E(x24041,x24042)+E(f633(x24043,x24041),f633(x24043,x24042))
% 28.33/28.24 [2405]~E(x24051,x24052)+E(f565(x24051,x24053,x24054),f565(x24052,x24053,x24054))
% 28.33/28.24 [2406]~E(x24061,x24062)+E(f565(x24063,x24061,x24064),f565(x24063,x24062,x24064))
% 28.33/28.24 [2407]~E(x24071,x24072)+E(f565(x24073,x24074,x24071),f565(x24073,x24074,x24072))
% 28.33/28.24 [2408]~E(x24081,x24082)+E(f652(x24081,x24083),f652(x24082,x24083))
% 28.33/28.24 [2409]~E(x24091,x24092)+E(f652(x24093,x24091),f652(x24093,x24092))
% 28.33/28.24 [2410]~E(x24101,x24102)+E(f779(x24101,x24103,x24104,x24105,x24106),f779(x24102,x24103,x24104,x24105,x24106))
% 28.33/28.24 [2411]~E(x24111,x24112)+E(f779(x24113,x24111,x24114,x24115,x24116),f779(x24113,x24112,x24114,x24115,x24116))
% 28.33/28.24 [2412]~E(x24121,x24122)+E(f779(x24123,x24124,x24121,x24125,x24126),f779(x24123,x24124,x24122,x24125,x24126))
% 28.33/28.24 [2413]~E(x24131,x24132)+E(f779(x24133,x24134,x24135,x24131,x24136),f779(x24133,x24134,x24135,x24132,x24136))
% 28.33/28.24 [2414]~E(x24141,x24142)+E(f779(x24143,x24144,x24145,x24146,x24141),f779(x24143,x24144,x24145,x24146,x24142))
% 28.33/28.24 [2415]~E(x24151,x24152)+E(f837(x24151,x24153),f837(x24152,x24153))
% 28.33/28.24 [2416]~E(x24161,x24162)+E(f837(x24163,x24161),f837(x24163,x24162))
% 28.33/28.24 [2417]~E(x24171,x24172)+E(f784(x24171,x24173,x24174,x24175),f784(x24172,x24173,x24174,x24175))
% 28.33/28.24 [2418]~E(x24181,x24182)+E(f784(x24183,x24181,x24184,x24185),f784(x24183,x24182,x24184,x24185))
% 28.33/28.24 [2419]~E(x24191,x24192)+E(f784(x24193,x24194,x24191,x24195),f784(x24193,x24194,x24192,x24195))
% 28.33/28.24 [2420]~E(x24201,x24202)+E(f784(x24203,x24204,x24205,x24201),f784(x24203,x24204,x24205,x24202))
% 28.33/28.24 [2421]~E(x24211,x24212)+E(f370(x24211,x24213),f370(x24212,x24213))
% 28.33/28.24 [2422]~E(x24221,x24222)+E(f370(x24223,x24221),f370(x24223,x24222))
% 28.33/28.24 [2423]~E(x24231,x24232)+E(f486(x24231,x24233,x24234,x24235,x24236),f486(x24232,x24233,x24234,x24235,x24236))
% 28.33/28.24 [2424]~E(x24241,x24242)+E(f486(x24243,x24241,x24244,x24245,x24246),f486(x24243,x24242,x24244,x24245,x24246))
% 28.33/28.24 [2425]~E(x24251,x24252)+E(f486(x24253,x24254,x24251,x24255,x24256),f486(x24253,x24254,x24252,x24255,x24256))
% 28.33/28.24 [2426]~E(x24261,x24262)+E(f486(x24263,x24264,x24265,x24261,x24266),f486(x24263,x24264,x24265,x24262,x24266))
% 28.33/28.24 [2427]~E(x24271,x24272)+E(f486(x24273,x24274,x24275,x24276,x24271),f486(x24273,x24274,x24275,x24276,x24272))
% 28.33/28.24 [2428]~E(x24281,x24282)+E(f627(x24281,x24283,x24284),f627(x24282,x24283,x24284))
% 28.33/28.24 [2429]~E(x24291,x24292)+E(f627(x24293,x24291,x24294),f627(x24293,x24292,x24294))
% 28.33/28.24 [2430]~E(x24301,x24302)+E(f627(x24303,x24304,x24301),f627(x24303,x24304,x24302))
% 28.33/28.24 [2431]~E(x24311,x24312)+E(f560(x24311,x24313,x24314,x24315),f560(x24312,x24313,x24314,x24315))
% 28.33/28.24 [2432]~E(x24321,x24322)+E(f560(x24323,x24321,x24324,x24325),f560(x24323,x24322,x24324,x24325))
% 28.33/28.24 [2433]~E(x24331,x24332)+E(f560(x24333,x24334,x24331,x24335),f560(x24333,x24334,x24332,x24335))
% 28.33/28.24 [2434]~E(x24341,x24342)+E(f560(x24343,x24344,x24345,x24341),f560(x24343,x24344,x24345,x24342))
% 28.33/28.24 [2435]~E(x24351,x24352)+E(f539(x24351,x24353,x24354,x24355,x24356,x24357,x24358,x24359),f539(x24352,x24353,x24354,x24355,x24356,x24357,x24358,x24359))
% 28.33/28.24 [2436]~E(x24361,x24362)+E(f539(x24363,x24361,x24364,x24365,x24366,x24367,x24368,x24369),f539(x24363,x24362,x24364,x24365,x24366,x24367,x24368,x24369))
% 28.33/28.24 [2437]~E(x24371,x24372)+E(f539(x24373,x24374,x24371,x24375,x24376,x24377,x24378,x24379),f539(x24373,x24374,x24372,x24375,x24376,x24377,x24378,x24379))
% 28.33/28.24 [2438]~E(x24381,x24382)+E(f539(x24383,x24384,x24385,x24381,x24386,x24387,x24388,x24389),f539(x24383,x24384,x24385,x24382,x24386,x24387,x24388,x24389))
% 28.33/28.24 [2439]~E(x24391,x24392)+E(f539(x24393,x24394,x24395,x24396,x24391,x24397,x24398,x24399),f539(x24393,x24394,x24395,x24396,x24392,x24397,x24398,x24399))
% 28.33/28.24 [2440]~E(x24401,x24402)+E(f539(x24403,x24404,x24405,x24406,x24407,x24401,x24408,x24409),f539(x24403,x24404,x24405,x24406,x24407,x24402,x24408,x24409))
% 28.33/28.24 [2441]~E(x24411,x24412)+E(f539(x24413,x24414,x24415,x24416,x24417,x24418,x24411,x24419),f539(x24413,x24414,x24415,x24416,x24417,x24418,x24412,x24419))
% 28.33/28.24 [2442]~E(x24421,x24422)+E(f539(x24423,x24424,x24425,x24426,x24427,x24428,x24429,x24421),f539(x24423,x24424,x24425,x24426,x24427,x24428,x24429,x24422))
% 28.33/28.24 [2443]~E(x24431,x24432)+E(f402(x24431,x24433,x24434),f402(x24432,x24433,x24434))
% 28.33/28.24 [2444]~E(x24441,x24442)+E(f402(x24443,x24441,x24444),f402(x24443,x24442,x24444))
% 28.33/28.24 [2445]~E(x24451,x24452)+E(f402(x24453,x24454,x24451),f402(x24453,x24454,x24452))
% 28.33/28.24 [2446]~E(x24461,x24462)+E(f395(x24461,x24463,x24464,x24465,x24466),f395(x24462,x24463,x24464,x24465,x24466))
% 28.33/28.24 [2447]~E(x24471,x24472)+E(f395(x24473,x24471,x24474,x24475,x24476),f395(x24473,x24472,x24474,x24475,x24476))
% 28.33/28.24 [2448]~E(x24481,x24482)+E(f395(x24483,x24484,x24481,x24485,x24486),f395(x24483,x24484,x24482,x24485,x24486))
% 28.33/28.24 [2449]~E(x24491,x24492)+E(f395(x24493,x24494,x24495,x24491,x24496),f395(x24493,x24494,x24495,x24492,x24496))
% 28.33/28.24 [2450]~E(x24501,x24502)+E(f395(x24503,x24504,x24505,x24506,x24501),f395(x24503,x24504,x24505,x24506,x24502))
% 28.33/28.24 [2451]~E(x24511,x24512)+E(f365(x24511,x24513),f365(x24512,x24513))
% 28.33/28.24 [2452]~E(x24521,x24522)+E(f365(x24523,x24521),f365(x24523,x24522))
% 28.33/28.24 [2453]~E(x24531,x24532)+E(f371(x24531,x24533),f371(x24532,x24533))
% 28.33/28.24 [2454]~E(x24541,x24542)+E(f371(x24543,x24541),f371(x24543,x24542))
% 28.33/28.24 [2455]~E(x24551,x24552)+E(f765(x24551,x24553,x24554),f765(x24552,x24553,x24554))
% 28.33/28.24 [2456]~E(x24561,x24562)+E(f765(x24563,x24561,x24564),f765(x24563,x24562,x24564))
% 28.33/28.24 [2457]~E(x24571,x24572)+E(f765(x24573,x24574,x24571),f765(x24573,x24574,x24572))
% 28.33/28.24 [2458]~E(x24581,x24582)+E(f717(x24581,x24583),f717(x24582,x24583))
% 28.33/28.24 [2459]~E(x24591,x24592)+E(f717(x24593,x24591),f717(x24593,x24592))
% 28.33/28.24 [2460]~E(x24601,x24602)+E(f47(x24601),f47(x24602))
% 28.33/28.24 [2461]~E(x24611,x24612)+E(f336(x24611,x24613),f336(x24612,x24613))
% 28.33/28.24 [2462]~E(x24621,x24622)+E(f336(x24623,x24621),f336(x24623,x24622))
% 28.33/28.24 [2463]~E(x24631,x24632)+E(f430(x24631,x24633,x24634,x24635),f430(x24632,x24633,x24634,x24635))
% 28.33/28.24 [2464]~E(x24641,x24642)+E(f430(x24643,x24641,x24644,x24645),f430(x24643,x24642,x24644,x24645))
% 28.33/28.24 [2465]~E(x24651,x24652)+E(f430(x24653,x24654,x24651,x24655),f430(x24653,x24654,x24652,x24655))
% 28.33/28.24 [2466]~E(x24661,x24662)+E(f430(x24663,x24664,x24665,x24661),f430(x24663,x24664,x24665,x24662))
% 28.33/28.24 [2467]~E(x24671,x24672)+E(f620(x24671,x24673,x24674,x24675,x24676),f620(x24672,x24673,x24674,x24675,x24676))
% 28.33/28.24 [2468]~E(x24681,x24682)+E(f620(x24683,x24681,x24684,x24685,x24686),f620(x24683,x24682,x24684,x24685,x24686))
% 28.33/28.24 [2469]~E(x24691,x24692)+E(f620(x24693,x24694,x24691,x24695,x24696),f620(x24693,x24694,x24692,x24695,x24696))
% 28.33/28.24 [2470]~E(x24701,x24702)+E(f620(x24703,x24704,x24705,x24701,x24706),f620(x24703,x24704,x24705,x24702,x24706))
% 28.33/28.24 [2471]~E(x24711,x24712)+E(f620(x24713,x24714,x24715,x24716,x24711),f620(x24713,x24714,x24715,x24716,x24712))
% 28.33/28.24 [2472]~E(x24721,x24722)+E(f628(x24721,x24723,x24724,x24725,x24726),f628(x24722,x24723,x24724,x24725,x24726))
% 28.33/28.24 [2473]~E(x24731,x24732)+E(f628(x24733,x24731,x24734,x24735,x24736),f628(x24733,x24732,x24734,x24735,x24736))
% 28.33/28.24 [2474]~E(x24741,x24742)+E(f628(x24743,x24744,x24741,x24745,x24746),f628(x24743,x24744,x24742,x24745,x24746))
% 28.33/28.24 [2475]~E(x24751,x24752)+E(f628(x24753,x24754,x24755,x24751,x24756),f628(x24753,x24754,x24755,x24752,x24756))
% 28.33/28.24 [2476]~E(x24761,x24762)+E(f628(x24763,x24764,x24765,x24766,x24761),f628(x24763,x24764,x24765,x24766,x24762))
% 28.33/28.24 [2477]~E(x24771,x24772)+E(f389(x24771,x24773,x24774,x24775,x24776),f389(x24772,x24773,x24774,x24775,x24776))
% 28.33/28.24 [2478]~E(x24781,x24782)+E(f389(x24783,x24781,x24784,x24785,x24786),f389(x24783,x24782,x24784,x24785,x24786))
% 28.33/28.24 [2479]~E(x24791,x24792)+E(f389(x24793,x24794,x24791,x24795,x24796),f389(x24793,x24794,x24792,x24795,x24796))
% 28.33/28.24 [2480]~E(x24801,x24802)+E(f389(x24803,x24804,x24805,x24801,x24806),f389(x24803,x24804,x24805,x24802,x24806))
% 28.33/28.24 [2481]~E(x24811,x24812)+E(f389(x24813,x24814,x24815,x24816,x24811),f389(x24813,x24814,x24815,x24816,x24812))
% 28.33/28.24 [2482]~E(x24821,x24822)+E(f590(x24821,x24823,x24824,x24825),f590(x24822,x24823,x24824,x24825))
% 28.33/28.24 [2483]~E(x24831,x24832)+E(f590(x24833,x24831,x24834,x24835),f590(x24833,x24832,x24834,x24835))
% 28.33/28.24 [2484]~E(x24841,x24842)+E(f590(x24843,x24844,x24841,x24845),f590(x24843,x24844,x24842,x24845))
% 28.33/28.24 [2485]~E(x24851,x24852)+E(f590(x24853,x24854,x24855,x24851),f590(x24853,x24854,x24855,x24852))
% 28.33/28.24 [2486]~E(x24861,x24862)+E(f545(x24861,x24863),f545(x24862,x24863))
% 28.33/28.24 [2487]~E(x24871,x24872)+E(f545(x24873,x24871),f545(x24873,x24872))
% 28.33/28.24 [2488]~E(x24881,x24882)+E(f709(x24881,x24883,x24884),f709(x24882,x24883,x24884))
% 28.33/28.24 [2489]~E(x24891,x24892)+E(f709(x24893,x24891,x24894),f709(x24893,x24892,x24894))
% 28.33/28.24 [2490]~E(x24901,x24902)+E(f709(x24903,x24904,x24901),f709(x24903,x24904,x24902))
% 28.33/28.24 [2491]~E(x24911,x24912)+E(f596(x24911,x24913,x24914,x24915),f596(x24912,x24913,x24914,x24915))
% 28.33/28.24 [2492]~E(x24921,x24922)+E(f596(x24923,x24921,x24924,x24925),f596(x24923,x24922,x24924,x24925))
% 28.33/28.24 [2493]~E(x24931,x24932)+E(f596(x24933,x24934,x24931,x24935),f596(x24933,x24934,x24932,x24935))
% 28.33/28.24 [2494]~E(x24941,x24942)+E(f596(x24943,x24944,x24945,x24941),f596(x24943,x24944,x24945,x24942))
% 28.33/28.24 [2495]~E(x24951,x24952)+E(f836(x24951),f836(x24952))
% 28.33/28.24 [2496]~E(x24961,x24962)+E(f629(x24961,x24963,x24964,x24965,x24966),f629(x24962,x24963,x24964,x24965,x24966))
% 28.33/28.24 [2497]~E(x24971,x24972)+E(f629(x24973,x24971,x24974,x24975,x24976),f629(x24973,x24972,x24974,x24975,x24976))
% 28.33/28.24 [2498]~E(x24981,x24982)+E(f629(x24983,x24984,x24981,x24985,x24986),f629(x24983,x24984,x24982,x24985,x24986))
% 28.33/28.24 [2499]~E(x24991,x24992)+E(f629(x24993,x24994,x24995,x24991,x24996),f629(x24993,x24994,x24995,x24992,x24996))
% 28.33/28.24 [2500]~E(x25001,x25002)+E(f629(x25003,x25004,x25005,x25006,x25001),f629(x25003,x25004,x25005,x25006,x25002))
% 28.33/28.24 [2501]~E(x25011,x25012)+E(f265(x25011,x25013,x25014,x25015,x25016),f265(x25012,x25013,x25014,x25015,x25016))
% 28.33/28.24 [2502]~E(x25021,x25022)+E(f265(x25023,x25021,x25024,x25025,x25026),f265(x25023,x25022,x25024,x25025,x25026))
% 28.33/28.24 [2503]~E(x25031,x25032)+E(f265(x25033,x25034,x25031,x25035,x25036),f265(x25033,x25034,x25032,x25035,x25036))
% 28.33/28.24 [2504]~E(x25041,x25042)+E(f265(x25043,x25044,x25045,x25041,x25046),f265(x25043,x25044,x25045,x25042,x25046))
% 28.33/28.24 [2505]~E(x25051,x25052)+E(f265(x25053,x25054,x25055,x25056,x25051),f265(x25053,x25054,x25055,x25056,x25052))
% 28.33/28.24 [2506]~E(x25061,x25062)+E(f666(x25061,x25063,x25064,x25065,x25066,x25067),f666(x25062,x25063,x25064,x25065,x25066,x25067))
% 28.33/28.24 [2507]~E(x25071,x25072)+E(f666(x25073,x25071,x25074,x25075,x25076,x25077),f666(x25073,x25072,x25074,x25075,x25076,x25077))
% 28.33/28.24 [2508]~E(x25081,x25082)+E(f666(x25083,x25084,x25081,x25085,x25086,x25087),f666(x25083,x25084,x25082,x25085,x25086,x25087))
% 28.33/28.24 [2509]~E(x25091,x25092)+E(f666(x25093,x25094,x25095,x25091,x25096,x25097),f666(x25093,x25094,x25095,x25092,x25096,x25097))
% 28.33/28.24 [2510]~E(x25101,x25102)+E(f666(x25103,x25104,x25105,x25106,x25101,x25107),f666(x25103,x25104,x25105,x25106,x25102,x25107))
% 28.33/28.24 [2511]~E(x25111,x25112)+E(f666(x25113,x25114,x25115,x25116,x25117,x25111),f666(x25113,x25114,x25115,x25116,x25117,x25112))
% 28.33/28.24 [2512]~E(x25121,x25122)+E(f366(x25121,x25123),f366(x25122,x25123))
% 28.33/28.24 [2513]~E(x25131,x25132)+E(f366(x25133,x25131),f366(x25133,x25132))
% 28.33/28.24 [2514]~E(x25141,x25142)+E(f548(x25141,x25143),f548(x25142,x25143))
% 28.33/28.24 [2515]~E(x25151,x25152)+E(f548(x25153,x25151),f548(x25153,x25152))
% 28.33/28.24 [2516]~E(x25161,x25162)+E(f850(x25161,x25163,x25164,x25165),f850(x25162,x25163,x25164,x25165))
% 28.33/28.24 [2517]~E(x25171,x25172)+E(f850(x25173,x25171,x25174,x25175),f850(x25173,x25172,x25174,x25175))
% 28.33/28.24 [2518]~E(x25181,x25182)+E(f850(x25183,x25184,x25181,x25185),f850(x25183,x25184,x25182,x25185))
% 28.33/28.24 [2519]~E(x25191,x25192)+E(f850(x25193,x25194,x25195,x25191),f850(x25193,x25194,x25195,x25192))
% 28.33/28.24 [2520]~E(x25201,x25202)+E(f229(x25201,x25203,x25204,x25205,x25206),f229(x25202,x25203,x25204,x25205,x25206))
% 28.33/28.24 [2521]~E(x25211,x25212)+E(f229(x25213,x25211,x25214,x25215,x25216),f229(x25213,x25212,x25214,x25215,x25216))
% 28.33/28.24 [2522]~E(x25221,x25222)+E(f229(x25223,x25224,x25221,x25225,x25226),f229(x25223,x25224,x25222,x25225,x25226))
% 28.33/28.24 [2523]~E(x25231,x25232)+E(f229(x25233,x25234,x25235,x25231,x25236),f229(x25233,x25234,x25235,x25232,x25236))
% 28.33/28.24 [2524]~E(x25241,x25242)+E(f229(x25243,x25244,x25245,x25246,x25241),f229(x25243,x25244,x25245,x25246,x25242))
% 28.33/28.24 [2525]~E(x25251,x25252)+E(f558(x25251,x25253,x25254),f558(x25252,x25253,x25254))
% 28.33/28.24 [2526]~E(x25261,x25262)+E(f558(x25263,x25261,x25264),f558(x25263,x25262,x25264))
% 28.33/28.24 [2527]~E(x25271,x25272)+E(f558(x25273,x25274,x25271),f558(x25273,x25274,x25272))
% 28.33/28.24 [2528]~E(x25281,x25282)+E(f745(x25281,x25283,x25284,x25285,x25286),f745(x25282,x25283,x25284,x25285,x25286))
% 28.33/28.24 [2529]~E(x25291,x25292)+E(f745(x25293,x25291,x25294,x25295,x25296),f745(x25293,x25292,x25294,x25295,x25296))
% 28.33/28.24 [2530]~E(x25301,x25302)+E(f745(x25303,x25304,x25301,x25305,x25306),f745(x25303,x25304,x25302,x25305,x25306))
% 28.33/28.24 [2531]~E(x25311,x25312)+E(f745(x25313,x25314,x25315,x25311,x25316),f745(x25313,x25314,x25315,x25312,x25316))
% 28.33/28.24 [2532]~E(x25321,x25322)+E(f745(x25323,x25324,x25325,x25326,x25321),f745(x25323,x25324,x25325,x25326,x25322))
% 28.33/28.24 [2533]~E(x25331,x25332)+E(f391(x25331,x25333,x25334,x25335,x25336),f391(x25332,x25333,x25334,x25335,x25336))
% 28.33/28.24 [2534]~E(x25341,x25342)+E(f391(x25343,x25341,x25344,x25345,x25346),f391(x25343,x25342,x25344,x25345,x25346))
% 28.33/28.24 [2535]~E(x25351,x25352)+E(f391(x25353,x25354,x25351,x25355,x25356),f391(x25353,x25354,x25352,x25355,x25356))
% 28.33/28.24 [2536]~E(x25361,x25362)+E(f391(x25363,x25364,x25365,x25361,x25366),f391(x25363,x25364,x25365,x25362,x25366))
% 28.33/28.24 [2537]~E(x25371,x25372)+E(f391(x25373,x25374,x25375,x25376,x25371),f391(x25373,x25374,x25375,x25376,x25372))
% 28.33/28.24 [2538]~E(x25381,x25382)+E(f682(x25381,x25383),f682(x25382,x25383))
% 28.33/28.24 [2539]~E(x25391,x25392)+E(f682(x25393,x25391),f682(x25393,x25392))
% 28.33/28.24 [2540]~E(x25401,x25402)+E(f354(x25401),f354(x25402))
% 28.33/28.24 [2541]~E(x25411,x25412)+E(f888(x25411,x25413,x25414,x25415),f888(x25412,x25413,x25414,x25415))
% 28.33/28.24 [2542]~E(x25421,x25422)+E(f888(x25423,x25421,x25424,x25425),f888(x25423,x25422,x25424,x25425))
% 28.33/28.24 [2543]~E(x25431,x25432)+E(f888(x25433,x25434,x25431,x25435),f888(x25433,x25434,x25432,x25435))
% 28.33/28.24 [2544]~E(x25441,x25442)+E(f888(x25443,x25444,x25445,x25441),f888(x25443,x25444,x25445,x25442))
% 28.33/28.24 [2545]~E(x25451,x25452)+E(f397(x25451,x25453,x25454,x25455,x25456),f397(x25452,x25453,x25454,x25455,x25456))
% 28.33/28.24 [2546]~E(x25461,x25462)+E(f397(x25463,x25461,x25464,x25465,x25466),f397(x25463,x25462,x25464,x25465,x25466))
% 28.33/28.24 [2547]~E(x25471,x25472)+E(f397(x25473,x25474,x25471,x25475,x25476),f397(x25473,x25474,x25472,x25475,x25476))
% 28.33/28.24 [2548]~E(x25481,x25482)+E(f397(x25483,x25484,x25485,x25481,x25486),f397(x25483,x25484,x25485,x25482,x25486))
% 28.33/28.24 [2549]~E(x25491,x25492)+E(f397(x25493,x25494,x25495,x25496,x25491),f397(x25493,x25494,x25495,x25496,x25492))
% 28.33/28.24 [2550]~E(x25501,x25502)+E(f250(x25501,x25503,x25504,x25505,x25506,x25507),f250(x25502,x25503,x25504,x25505,x25506,x25507))
% 28.33/28.24 [2551]~E(x25511,x25512)+E(f250(x25513,x25511,x25514,x25515,x25516,x25517),f250(x25513,x25512,x25514,x25515,x25516,x25517))
% 28.33/28.24 [2552]~E(x25521,x25522)+E(f250(x25523,x25524,x25521,x25525,x25526,x25527),f250(x25523,x25524,x25522,x25525,x25526,x25527))
% 28.33/28.24 [2553]~E(x25531,x25532)+E(f250(x25533,x25534,x25535,x25531,x25536,x25537),f250(x25533,x25534,x25535,x25532,x25536,x25537))
% 28.33/28.24 [2554]~E(x25541,x25542)+E(f250(x25543,x25544,x25545,x25546,x25541,x25547),f250(x25543,x25544,x25545,x25546,x25542,x25547))
% 28.33/28.24 [2555]~E(x25551,x25552)+E(f250(x25553,x25554,x25555,x25556,x25557,x25551),f250(x25553,x25554,x25555,x25556,x25557,x25552))
% 28.33/28.24 [2556]~E(x25561,x25562)+E(f276(x25561,x25563,x25564),f276(x25562,x25563,x25564))
% 28.33/28.24 [2557]~E(x25571,x25572)+E(f276(x25573,x25571,x25574),f276(x25573,x25572,x25574))
% 28.33/28.24 [2558]~E(x25581,x25582)+E(f276(x25583,x25584,x25581),f276(x25583,x25584,x25582))
% 28.33/28.24 [2559]~E(x25591,x25592)+E(f77(x25591,x25593),f77(x25592,x25593))
% 28.33/28.24 [2560]~E(x25601,x25602)+E(f77(x25603,x25601),f77(x25603,x25602))
% 28.33/28.24 [2561]~E(x25611,x25612)+E(f294(x25611,x25613,x25614),f294(x25612,x25613,x25614))
% 28.33/28.24 [2562]~E(x25621,x25622)+E(f294(x25623,x25621,x25624),f294(x25623,x25622,x25624))
% 28.33/28.24 [2563]~E(x25631,x25632)+E(f294(x25633,x25634,x25631),f294(x25633,x25634,x25632))
% 28.33/28.24 [2564]~E(x25641,x25642)+E(f696(x25641,x25643,x25644),f696(x25642,x25643,x25644))
% 28.33/28.24 [2565]~E(x25651,x25652)+E(f696(x25653,x25651,x25654),f696(x25653,x25652,x25654))
% 28.33/28.24 [2566]~E(x25661,x25662)+E(f696(x25663,x25664,x25661),f696(x25663,x25664,x25662))
% 28.33/28.24 [2567]~E(x25671,x25672)+E(f795(x25671,x25673,x25674),f795(x25672,x25673,x25674))
% 28.33/28.24 [2568]~E(x25681,x25682)+E(f795(x25683,x25681,x25684),f795(x25683,x25682,x25684))
% 28.33/28.24 [2569]~E(x25691,x25692)+E(f795(x25693,x25694,x25691),f795(x25693,x25694,x25692))
% 28.33/28.24 [2570]~E(x25701,x25702)+E(f125(x25701,x25703,x25704,x25705),f125(x25702,x25703,x25704,x25705))
% 28.33/28.24 [2571]~E(x25711,x25712)+E(f125(x25713,x25711,x25714,x25715),f125(x25713,x25712,x25714,x25715))
% 28.33/28.24 [2572]~E(x25721,x25722)+E(f125(x25723,x25724,x25721,x25725),f125(x25723,x25724,x25722,x25725))
% 28.33/28.24 [2573]~E(x25731,x25732)+E(f125(x25733,x25734,x25735,x25731),f125(x25733,x25734,x25735,x25732))
% 28.33/28.24 [2574]~E(x25741,x25742)+E(f878(x25741,x25743,x25744),f878(x25742,x25743,x25744))
% 28.33/28.24 [2575]~E(x25751,x25752)+E(f878(x25753,x25751,x25754),f878(x25753,x25752,x25754))
% 28.33/28.24 [2576]~E(x25761,x25762)+E(f878(x25763,x25764,x25761),f878(x25763,x25764,x25762))
% 28.33/28.24 [2577]~E(x25771,x25772)+E(f251(x25771,x25773,x25774),f251(x25772,x25773,x25774))
% 28.33/28.24 [2578]~E(x25781,x25782)+E(f251(x25783,x25781,x25784),f251(x25783,x25782,x25784))
% 28.33/28.24 [2579]~E(x25791,x25792)+E(f251(x25793,x25794,x25791),f251(x25793,x25794,x25792))
% 28.33/28.24 [2580]~E(x25801,x25802)+E(f776(x25801,x25803,x25804),f776(x25802,x25803,x25804))
% 28.33/28.24 [2581]~E(x25811,x25812)+E(f776(x25813,x25811,x25814),f776(x25813,x25812,x25814))
% 28.33/28.24 [2582]~E(x25821,x25822)+E(f776(x25823,x25824,x25821),f776(x25823,x25824,x25822))
% 28.33/28.24 [2583]~E(x25831,x25832)+E(f436(x25831,x25833,x25834),f436(x25832,x25833,x25834))
% 28.33/28.24 [2584]~E(x25841,x25842)+E(f436(x25843,x25841,x25844),f436(x25843,x25842,x25844))
% 28.33/28.24 [2585]~E(x25851,x25852)+E(f436(x25853,x25854,x25851),f436(x25853,x25854,x25852))
% 28.33/28.24 [2586]~E(x25861,x25862)+E(f543(x25861),f543(x25862))
% 28.33/28.24 [2587]~E(x25871,x25872)+E(f428(x25871,x25873,x25874,x25875),f428(x25872,x25873,x25874,x25875))
% 28.33/28.24 [2588]~E(x25881,x25882)+E(f428(x25883,x25881,x25884,x25885),f428(x25883,x25882,x25884,x25885))
% 28.33/28.24 [2589]~E(x25891,x25892)+E(f428(x25893,x25894,x25891,x25895),f428(x25893,x25894,x25892,x25895))
% 28.33/28.24 [2590]~E(x25901,x25902)+E(f428(x25903,x25904,x25905,x25901),f428(x25903,x25904,x25905,x25902))
% 28.33/28.24 [2591]~E(x25911,x25912)+E(f549(x25911,x25913,x25914,x25915),f549(x25912,x25913,x25914,x25915))
% 28.33/28.24 [2592]~E(x25921,x25922)+E(f549(x25923,x25921,x25924,x25925),f549(x25923,x25922,x25924,x25925))
% 28.33/28.24 [2593]~E(x25931,x25932)+E(f549(x25933,x25934,x25931,x25935),f549(x25933,x25934,x25932,x25935))
% 28.33/28.24 [2594]~E(x25941,x25942)+E(f549(x25943,x25944,x25945,x25941),f549(x25943,x25944,x25945,x25942))
% 28.33/28.24 [2595]~E(x25951,x25952)+E(f390(x25951,x25953,x25954,x25955,x25956),f390(x25952,x25953,x25954,x25955,x25956))
% 28.33/28.24 [2596]~E(x25961,x25962)+E(f390(x25963,x25961,x25964,x25965,x25966),f390(x25963,x25962,x25964,x25965,x25966))
% 28.33/28.24 [2597]~E(x25971,x25972)+E(f390(x25973,x25974,x25971,x25975,x25976),f390(x25973,x25974,x25972,x25975,x25976))
% 28.33/28.24 [2598]~E(x25981,x25982)+E(f390(x25983,x25984,x25985,x25981,x25986),f390(x25983,x25984,x25985,x25982,x25986))
% 28.33/28.24 [2599]~E(x25991,x25992)+E(f390(x25993,x25994,x25995,x25996,x25991),f390(x25993,x25994,x25995,x25996,x25992))
% 28.33/28.24 [2600]~E(x26001,x26002)+E(f835(x26001,x26003),f835(x26002,x26003))
% 28.33/28.24 [2601]~E(x26011,x26012)+E(f835(x26013,x26011),f835(x26013,x26012))
% 28.33/28.24 [2602]~E(x26021,x26022)+E(f281(x26021,x26023,x26024,x26025),f281(x26022,x26023,x26024,x26025))
% 28.33/28.24 [2603]~E(x26031,x26032)+E(f281(x26033,x26031,x26034,x26035),f281(x26033,x26032,x26034,x26035))
% 28.33/28.24 [2604]~E(x26041,x26042)+E(f281(x26043,x26044,x26041,x26045),f281(x26043,x26044,x26042,x26045))
% 28.33/28.24 [2605]~E(x26051,x26052)+E(f281(x26053,x26054,x26055,x26051),f281(x26053,x26054,x26055,x26052))
% 28.33/28.24 [2606]~E(x26061,x26062)+E(f228(x26061,x26063,x26064,x26065,x26066),f228(x26062,x26063,x26064,x26065,x26066))
% 28.33/28.24 [2607]~E(x26071,x26072)+E(f228(x26073,x26071,x26074,x26075,x26076),f228(x26073,x26072,x26074,x26075,x26076))
% 28.33/28.24 [2608]~E(x26081,x26082)+E(f228(x26083,x26084,x26081,x26085,x26086),f228(x26083,x26084,x26082,x26085,x26086))
% 28.33/28.24 [2609]~E(x26091,x26092)+E(f228(x26093,x26094,x26095,x26091,x26096),f228(x26093,x26094,x26095,x26092,x26096))
% 28.33/28.24 [2610]~E(x26101,x26102)+E(f228(x26103,x26104,x26105,x26106,x26101),f228(x26103,x26104,x26105,x26106,x26102))
% 28.33/28.24 [2611]~E(x26111,x26112)+E(f818(x26111,x26113,x26114),f818(x26112,x26113,x26114))
% 28.33/28.24 [2612]~E(x26121,x26122)+E(f818(x26123,x26121,x26124),f818(x26123,x26122,x26124))
% 28.33/28.24 [2613]~E(x26131,x26132)+E(f818(x26133,x26134,x26131),f818(x26133,x26134,x26132))
% 28.33/28.24 [2614]~E(x26141,x26142)+E(f580(x26141,x26143,x26144),f580(x26142,x26143,x26144))
% 28.33/28.24 [2615]~E(x26151,x26152)+E(f580(x26153,x26151,x26154),f580(x26153,x26152,x26154))
% 28.33/28.24 [2616]~E(x26161,x26162)+E(f580(x26163,x26164,x26161),f580(x26163,x26164,x26162))
% 28.33/28.24 [2617]~E(x26171,x26172)+E(f719(x26171,x26173),f719(x26172,x26173))
% 28.33/28.24 [2618]~E(x26181,x26182)+E(f719(x26183,x26181),f719(x26183,x26182))
% 28.33/28.24 [2619]~E(x26191,x26192)+E(f655(x26191),f655(x26192))
% 28.33/28.24 [2620]~E(x26201,x26202)+E(f840(x26201,x26203),f840(x26202,x26203))
% 28.33/28.24 [2621]~E(x26211,x26212)+E(f840(x26213,x26211),f840(x26213,x26212))
% 28.33/28.24 [2622]~E(x26221,x26222)+E(f599(x26221,x26223,x26224,x26225),f599(x26222,x26223,x26224,x26225))
% 28.33/28.24 [2623]~E(x26231,x26232)+E(f599(x26233,x26231,x26234,x26235),f599(x26233,x26232,x26234,x26235))
% 28.33/28.24 [2624]~E(x26241,x26242)+E(f599(x26243,x26244,x26241,x26245),f599(x26243,x26244,x26242,x26245))
% 28.33/28.24 [2625]~E(x26251,x26252)+E(f599(x26253,x26254,x26255,x26251),f599(x26253,x26254,x26255,x26252))
% 28.33/28.24 [2626]~E(x26261,x26262)+E(f211(x26261,x26263,x26264,x26265,x26266,x26267,x26268),f211(x26262,x26263,x26264,x26265,x26266,x26267,x26268))
% 28.33/28.24 [2627]~E(x26271,x26272)+E(f211(x26273,x26271,x26274,x26275,x26276,x26277,x26278),f211(x26273,x26272,x26274,x26275,x26276,x26277,x26278))
% 28.33/28.24 [2628]~E(x26281,x26282)+E(f211(x26283,x26284,x26281,x26285,x26286,x26287,x26288),f211(x26283,x26284,x26282,x26285,x26286,x26287,x26288))
% 28.33/28.24 [2629]~E(x26291,x26292)+E(f211(x26293,x26294,x26295,x26291,x26296,x26297,x26298),f211(x26293,x26294,x26295,x26292,x26296,x26297,x26298))
% 28.33/28.24 [2630]~E(x26301,x26302)+E(f211(x26303,x26304,x26305,x26306,x26301,x26307,x26308),f211(x26303,x26304,x26305,x26306,x26302,x26307,x26308))
% 28.33/28.24 [2631]~E(x26311,x26312)+E(f211(x26313,x26314,x26315,x26316,x26317,x26311,x26318),f211(x26313,x26314,x26315,x26316,x26317,x26312,x26318))
% 28.33/28.24 [2632]~E(x26321,x26322)+E(f211(x26323,x26324,x26325,x26326,x26327,x26328,x26321),f211(x26323,x26324,x26325,x26326,x26327,x26328,x26322))
% 28.33/28.24 [2633]~E(x26331,x26332)+E(f671(x26331,x26333),f671(x26332,x26333))
% 28.33/28.24 [2634]~E(x26341,x26342)+E(f671(x26343,x26341),f671(x26343,x26342))
% 28.33/28.24 [2635]~E(x26351,x26352)+E(f533(x26351,x26353,x26354,x26355,x26356,x26357),f533(x26352,x26353,x26354,x26355,x26356,x26357))
% 28.33/28.24 [2636]~E(x26361,x26362)+E(f533(x26363,x26361,x26364,x26365,x26366,x26367),f533(x26363,x26362,x26364,x26365,x26366,x26367))
% 28.33/28.24 [2637]~E(x26371,x26372)+E(f533(x26373,x26374,x26371,x26375,x26376,x26377),f533(x26373,x26374,x26372,x26375,x26376,x26377))
% 28.33/28.24 [2638]~E(x26381,x26382)+E(f533(x26383,x26384,x26385,x26381,x26386,x26387),f533(x26383,x26384,x26385,x26382,x26386,x26387))
% 28.33/28.24 [2639]~E(x26391,x26392)+E(f533(x26393,x26394,x26395,x26396,x26391,x26397),f533(x26393,x26394,x26395,x26396,x26392,x26397))
% 28.33/28.24 [2640]~E(x26401,x26402)+E(f533(x26403,x26404,x26405,x26406,x26407,x26401),f533(x26403,x26404,x26405,x26406,x26407,x26402))
% 28.33/28.24 [2641]~E(x26411,x26412)+E(f635(x26411,x26413,x26414,x26415),f635(x26412,x26413,x26414,x26415))
% 28.33/28.24 [2642]~E(x26421,x26422)+E(f635(x26423,x26421,x26424,x26425),f635(x26423,x26422,x26424,x26425))
% 28.33/28.24 [2643]~E(x26431,x26432)+E(f635(x26433,x26434,x26431,x26435),f635(x26433,x26434,x26432,x26435))
% 28.33/28.24 [2644]~E(x26441,x26442)+E(f635(x26443,x26444,x26445,x26441),f635(x26443,x26444,x26445,x26442))
% 28.33/28.24 [2645]~E(x26451,x26452)+E(f643(x26451,x26453,x26454),f643(x26452,x26453,x26454))
% 28.33/28.24 [2646]~E(x26461,x26462)+E(f643(x26463,x26461,x26464),f643(x26463,x26462,x26464))
% 28.33/28.24 [2647]~E(x26471,x26472)+E(f643(x26473,x26474,x26471),f643(x26473,x26474,x26472))
% 28.33/28.24 [2648]~E(x26481,x26482)+E(f280(x26481),f280(x26482))
% 28.33/28.24 [2649]~E(x26491,x26492)+E(f656(x26491,x26493,x26494),f656(x26492,x26493,x26494))
% 28.33/28.24 [2650]~E(x26501,x26502)+E(f656(x26503,x26501,x26504),f656(x26503,x26502,x26504))
% 28.33/28.24 [2651]~E(x26511,x26512)+E(f656(x26513,x26514,x26511),f656(x26513,x26514,x26512))
% 28.33/28.24 [2652]~E(x26521,x26522)+E(f411(x26521,x26523,x26524),f411(x26522,x26523,x26524))
% 28.33/28.24 [2653]~E(x26531,x26532)+E(f411(x26533,x26531,x26534),f411(x26533,x26532,x26534))
% 28.33/28.24 [2654]~E(x26541,x26542)+E(f411(x26543,x26544,x26541),f411(x26543,x26544,x26542))
% 28.33/28.24 [2655]~E(x26551,x26552)+E(f299(x26551,x26553,x26554),f299(x26552,x26553,x26554))
% 28.33/28.24 [2656]~E(x26561,x26562)+E(f299(x26563,x26561,x26564),f299(x26563,x26562,x26564))
% 28.33/28.24 [2657]~E(x26571,x26572)+E(f299(x26573,x26574,x26571),f299(x26573,x26574,x26572))
% 28.33/28.24 [2658]~E(x26581,x26582)+E(f606(x26581,x26583,x26584),f606(x26582,x26583,x26584))
% 28.33/28.24 [2659]~E(x26591,x26592)+E(f606(x26593,x26591,x26594),f606(x26593,x26592,x26594))
% 28.33/28.24 [2660]~E(x26601,x26602)+E(f606(x26603,x26604,x26601),f606(x26603,x26604,x26602))
% 28.33/28.24 [2661]~E(x26611,x26612)+E(f658(x26611,x26613,x26614),f658(x26612,x26613,x26614))
% 28.33/28.24 [2662]~E(x26621,x26622)+E(f658(x26623,x26621,x26624),f658(x26623,x26622,x26624))
% 28.33/28.24 [2663]~E(x26631,x26632)+E(f658(x26633,x26634,x26631),f658(x26633,x26634,x26632))
% 28.33/28.24 [2664]~E(x26641,x26642)+E(f544(x26641),f544(x26642))
% 28.33/28.24 [2665]~E(x26651,x26652)+E(f725(x26651,x26653),f725(x26652,x26653))
% 28.33/28.24 [2666]~E(x26661,x26662)+E(f725(x26663,x26661),f725(x26663,x26662))
% 28.33/28.24 [2667]~E(x26671,x26672)+E(f45(x26671),f45(x26672))
% 28.33/28.24 [2668]~E(x26681,x26682)+E(f698(x26681,x26683,x26684,x26685),f698(x26682,x26683,x26684,x26685))
% 28.33/28.24 [2669]~E(x26691,x26692)+E(f698(x26693,x26691,x26694,x26695),f698(x26693,x26692,x26694,x26695))
% 28.33/28.24 [2670]~E(x26701,x26702)+E(f698(x26703,x26704,x26701,x26705),f698(x26703,x26704,x26702,x26705))
% 28.33/28.24 [2671]~E(x26711,x26712)+E(f698(x26713,x26714,x26715,x26711),f698(x26713,x26714,x26715,x26712))
% 28.33/28.24 [2672]~E(x26721,x26722)+E(f416(x26721,x26723,x26724,x26725,x26726),f416(x26722,x26723,x26724,x26725,x26726))
% 28.33/28.24 [2673]~E(x26731,x26732)+E(f416(x26733,x26731,x26734,x26735,x26736),f416(x26733,x26732,x26734,x26735,x26736))
% 28.33/28.24 [2674]~E(x26741,x26742)+E(f416(x26743,x26744,x26741,x26745,x26746),f416(x26743,x26744,x26742,x26745,x26746))
% 28.33/28.24 [2675]~E(x26751,x26752)+E(f416(x26753,x26754,x26755,x26751,x26756),f416(x26753,x26754,x26755,x26752,x26756))
% 28.33/28.24 [2676]~E(x26761,x26762)+E(f416(x26763,x26764,x26765,x26766,x26761),f416(x26763,x26764,x26765,x26766,x26762))
% 28.33/28.24 [2677]~E(x26771,x26772)+E(f876(x26771,x26773),f876(x26772,x26773))
% 28.33/28.24 [2678]~E(x26781,x26782)+E(f876(x26783,x26781),f876(x26783,x26782))
% 28.33/28.24 [2679]~E(x26791,x26792)+E(f478(x26791,x26793),f478(x26792,x26793))
% 28.33/28.24 [2680]~E(x26801,x26802)+E(f478(x26803,x26801),f478(x26803,x26802))
% 28.33/28.24 [2681]~E(x26811,x26812)+E(f403(x26811,x26813,x26814,x26815,x26816),f403(x26812,x26813,x26814,x26815,x26816))
% 28.33/28.24 [2682]~E(x26821,x26822)+E(f403(x26823,x26821,x26824,x26825,x26826),f403(x26823,x26822,x26824,x26825,x26826))
% 28.33/28.24 [2683]~E(x26831,x26832)+E(f403(x26833,x26834,x26831,x26835,x26836),f403(x26833,x26834,x26832,x26835,x26836))
% 28.33/28.24 [2684]~E(x26841,x26842)+E(f403(x26843,x26844,x26845,x26841,x26846),f403(x26843,x26844,x26845,x26842,x26846))
% 28.33/28.24 [2685]~E(x26851,x26852)+E(f403(x26853,x26854,x26855,x26856,x26851),f403(x26853,x26854,x26855,x26856,x26852))
% 28.33/28.24 [2686]~E(x26861,x26862)+E(f564(x26861,x26863,x26864,x26865),f564(x26862,x26863,x26864,x26865))
% 28.33/28.24 [2687]~E(x26871,x26872)+E(f564(x26873,x26871,x26874,x26875),f564(x26873,x26872,x26874,x26875))
% 28.33/28.24 [2688]~E(x26881,x26882)+E(f564(x26883,x26884,x26881,x26885),f564(x26883,x26884,x26882,x26885))
% 28.33/28.24 [2689]~E(x26891,x26892)+E(f564(x26893,x26894,x26895,x26891),f564(x26893,x26894,x26895,x26892))
% 28.33/28.24 [2690]~E(x26901,x26902)+E(f684(x26901,x26903),f684(x26902,x26903))
% 28.33/28.24 [2691]~E(x26911,x26912)+E(f684(x26913,x26911),f684(x26913,x26912))
% 28.33/28.24 [2692]~E(x26921,x26922)+E(f431(x26921,x26923,x26924,x26925),f431(x26922,x26923,x26924,x26925))
% 28.33/28.24 [2693]~E(x26931,x26932)+E(f431(x26933,x26931,x26934,x26935),f431(x26933,x26932,x26934,x26935))
% 28.33/28.24 [2694]~E(x26941,x26942)+E(f431(x26943,x26944,x26941,x26945),f431(x26943,x26944,x26942,x26945))
% 28.33/28.24 [2695]~E(x26951,x26952)+E(f431(x26953,x26954,x26955,x26951),f431(x26953,x26954,x26955,x26952))
% 28.33/28.24 [2696]~E(x26961,x26962)+E(f360(x26961,x26963,x26964),f360(x26962,x26963,x26964))
% 28.33/28.24 [2697]~E(x26971,x26972)+E(f360(x26973,x26971,x26974),f360(x26973,x26972,x26974))
% 28.33/28.24 [2698]~E(x26981,x26982)+E(f360(x26983,x26984,x26981),f360(x26983,x26984,x26982))
% 28.33/28.24 [2699]~E(x26991,x26992)+E(f433(x26991,x26993,x26994),f433(x26992,x26993,x26994))
% 28.33/28.24 [2700]~E(x27001,x27002)+E(f433(x27003,x27001,x27004),f433(x27003,x27002,x27004))
% 28.33/28.24 [2701]~E(x27011,x27012)+E(f433(x27013,x27014,x27011),f433(x27013,x27014,x27012))
% 28.33/28.24 [2702]~E(x27021,x27022)+E(f470(x27021,x27023,x27024,x27025),f470(x27022,x27023,x27024,x27025))
% 28.33/28.24 [2703]~E(x27031,x27032)+E(f470(x27033,x27031,x27034,x27035),f470(x27033,x27032,x27034,x27035))
% 28.33/28.24 [2704]~E(x27041,x27042)+E(f470(x27043,x27044,x27041,x27045),f470(x27043,x27044,x27042,x27045))
% 28.33/28.24 [2705]~E(x27051,x27052)+E(f470(x27053,x27054,x27055,x27051),f470(x27053,x27054,x27055,x27052))
% 28.33/28.24 [2706]~E(x27061,x27062)+E(f491(x27061,x27063,x27064,x27065,x27066),f491(x27062,x27063,x27064,x27065,x27066))
% 28.33/28.24 [2707]~E(x27071,x27072)+E(f491(x27073,x27071,x27074,x27075,x27076),f491(x27073,x27072,x27074,x27075,x27076))
% 28.33/28.24 [2708]~E(x27081,x27082)+E(f491(x27083,x27084,x27081,x27085,x27086),f491(x27083,x27084,x27082,x27085,x27086))
% 28.33/28.24 [2709]~E(x27091,x27092)+E(f491(x27093,x27094,x27095,x27091,x27096),f491(x27093,x27094,x27095,x27092,x27096))
% 28.33/28.24 [2710]~E(x27101,x27102)+E(f491(x27103,x27104,x27105,x27106,x27101),f491(x27103,x27104,x27105,x27106,x27102))
% 28.33/28.24 [2711]~E(x27111,x27112)+E(f346(x27111),f346(x27112))
% 28.33/28.24 [2712]~E(x27121,x27122)+E(f264(x27121,x27123,x27124,x27125,x27126),f264(x27122,x27123,x27124,x27125,x27126))
% 28.33/28.24 [2713]~E(x27131,x27132)+E(f264(x27133,x27131,x27134,x27135,x27136),f264(x27133,x27132,x27134,x27135,x27136))
% 28.33/28.24 [2714]~E(x27141,x27142)+E(f264(x27143,x27144,x27141,x27145,x27146),f264(x27143,x27144,x27142,x27145,x27146))
% 28.33/28.24 [2715]~E(x27151,x27152)+E(f264(x27153,x27154,x27155,x27151,x27156),f264(x27153,x27154,x27155,x27152,x27156))
% 28.33/28.24 [2716]~E(x27161,x27162)+E(f264(x27163,x27164,x27165,x27166,x27161),f264(x27163,x27164,x27165,x27166,x27162))
% 28.33/28.24 [2717]~E(x27171,x27172)+E(f759(x27171,x27173),f759(x27172,x27173))
% 28.33/28.24 [2718]~E(x27181,x27182)+E(f759(x27183,x27181),f759(x27183,x27182))
% 28.33/28.24 [2719]~E(x27191,x27192)+E(f500(x27191,x27193,x27194),f500(x27192,x27193,x27194))
% 28.33/28.24 [2720]~E(x27201,x27202)+E(f500(x27203,x27201,x27204),f500(x27203,x27202,x27204))
% 28.33/28.24 [2721]~E(x27211,x27212)+E(f500(x27213,x27214,x27211),f500(x27213,x27214,x27212))
% 28.33/28.24 [2722]~E(x27221,x27222)+E(f662(x27221,x27223,x27224),f662(x27222,x27223,x27224))
% 28.33/28.24 [2723]~E(x27231,x27232)+E(f662(x27233,x27231,x27234),f662(x27233,x27232,x27234))
% 28.33/28.24 [2724]~E(x27241,x27242)+E(f662(x27243,x27244,x27241),f662(x27243,x27244,x27242))
% 28.33/28.24 [2725]~E(x27251,x27252)+E(f409(x27251,x27253,x27254),f409(x27252,x27253,x27254))
% 28.33/28.24 [2726]~E(x27261,x27262)+E(f409(x27263,x27261,x27264),f409(x27263,x27262,x27264))
% 28.33/28.24 [2727]~E(x27271,x27272)+E(f409(x27273,x27274,x27271),f409(x27273,x27274,x27272))
% 28.33/28.24 [2728]~E(x27281,x27282)+E(f479(x27281,x27283),f479(x27282,x27283))
% 28.33/28.24 [2729]~E(x27291,x27292)+E(f479(x27293,x27291),f479(x27293,x27292))
% 28.33/28.24 [2730]~E(x27301,x27302)+E(f576(x27301,x27303,x27304),f576(x27302,x27303,x27304))
% 28.33/28.24 [2731]~E(x27311,x27312)+E(f576(x27313,x27311,x27314),f576(x27313,x27312,x27314))
% 28.33/28.24 [2732]~E(x27321,x27322)+E(f576(x27323,x27324,x27321),f576(x27323,x27324,x27322))
% 28.33/28.24 [2733]~E(x27331,x27332)+E(f512(x27331,x27333,x27334),f512(x27332,x27333,x27334))
% 28.33/28.24 [2734]~E(x27341,x27342)+E(f512(x27343,x27341,x27344),f512(x27343,x27342,x27344))
% 28.33/28.24 [2735]~E(x27351,x27352)+E(f512(x27353,x27354,x27351),f512(x27353,x27354,x27352))
% 28.33/28.24 [2736]~E(x27361,x27362)+E(f639(x27361,x27363,x27364,x27365),f639(x27362,x27363,x27364,x27365))
% 28.33/28.24 [2737]~E(x27371,x27372)+E(f639(x27373,x27371,x27374,x27375),f639(x27373,x27372,x27374,x27375))
% 28.33/28.24 [2738]~E(x27381,x27382)+E(f639(x27383,x27384,x27381,x27385),f639(x27383,x27384,x27382,x27385))
% 28.33/28.24 [2739]~E(x27391,x27392)+E(f639(x27393,x27394,x27395,x27391),f639(x27393,x27394,x27395,x27392))
% 28.33/28.24 [2740]~E(x27401,x27402)+E(f418(x27401,x27403,x27404),f418(x27402,x27403,x27404))
% 28.33/28.24 [2741]~E(x27411,x27412)+E(f418(x27413,x27411,x27414),f418(x27413,x27412,x27414))
% 28.33/28.24 [2742]~E(x27421,x27422)+E(f418(x27423,x27424,x27421),f418(x27423,x27424,x27422))
% 28.33/28.24 [2743]~E(x27431,x27432)+E(f504(x27431),f504(x27432))
% 28.33/28.24 [2744]~E(x27441,x27442)+E(f742(x27441),f742(x27442))
% 28.33/28.24 [2745]~P1(x27451)+P1(x27452)+~E(x27451,x27452)
% 28.33/28.24 [2746]~P107(x27461)+P107(x27462)+~E(x27461,x27462)
% 28.33/28.24 [2747]P17(x27472,x27473,x27474,x27475,x27476,x27477)+~E(x27471,x27472)+~P17(x27471,x27473,x27474,x27475,x27476,x27477)
% 28.33/28.24 [2748]P17(x27483,x27482,x27484,x27485,x27486,x27487)+~E(x27481,x27482)+~P17(x27483,x27481,x27484,x27485,x27486,x27487)
% 28.33/28.24 [2749]P17(x27493,x27494,x27492,x27495,x27496,x27497)+~E(x27491,x27492)+~P17(x27493,x27494,x27491,x27495,x27496,x27497)
% 28.33/28.24 [2750]P17(x27503,x27504,x27505,x27502,x27506,x27507)+~E(x27501,x27502)+~P17(x27503,x27504,x27505,x27501,x27506,x27507)
% 28.33/28.24 [2751]P17(x27513,x27514,x27515,x27516,x27512,x27517)+~E(x27511,x27512)+~P17(x27513,x27514,x27515,x27516,x27511,x27517)
% 28.33/28.24 [2752]P17(x27523,x27524,x27525,x27526,x27527,x27522)+~E(x27521,x27522)+~P17(x27523,x27524,x27525,x27526,x27527,x27521)
% 28.33/28.24 [2753]~P2(x27531)+P2(x27532)+~E(x27531,x27532)
% 28.33/28.24 [2754]~P109(x27541)+P109(x27542)+~E(x27541,x27542)
% 28.33/28.24 [2755]~P3(x27551)+P3(x27552)+~E(x27551,x27552)
% 28.33/28.24 [2756]~P108(x27561)+P108(x27562)+~E(x27561,x27562)
% 28.33/28.24 [2757]~P76(x27571)+P76(x27572)+~E(x27571,x27572)
% 28.33/28.24 [2758]~P71(x27581)+P71(x27582)+~E(x27581,x27582)
% 28.33/28.24 [2759]P41(x27592,x27593,x27594)+~E(x27591,x27592)+~P41(x27591,x27593,x27594)
% 28.33/28.24 [2760]P41(x27603,x27602,x27604)+~E(x27601,x27602)+~P41(x27603,x27601,x27604)
% 28.33/28.24 [2761]P41(x27613,x27614,x27612)+~E(x27611,x27612)+~P41(x27613,x27614,x27611)
% 28.33/28.24 [2762]P148(x27622,x27623,x27624)+~E(x27621,x27622)+~P148(x27621,x27623,x27624)
% 28.33/28.24 [2763]P148(x27633,x27632,x27634)+~E(x27631,x27632)+~P148(x27633,x27631,x27634)
% 28.33/28.24 [2764]P148(x27643,x27644,x27642)+~E(x27641,x27642)+~P148(x27643,x27644,x27641)
% 28.33/28.24 [2765]~P101(x27651)+P101(x27652)+~E(x27651,x27652)
% 28.33/28.24 [2766]~P4(x27661)+P4(x27662)+~E(x27661,x27662)
% 28.33/28.24 [2767]~P140(x27671)+P140(x27672)+~E(x27671,x27672)
% 28.33/28.24 [2768]~P72(x27681)+P72(x27682)+~E(x27681,x27682)
% 28.33/28.24 [2769]~P5(x27691)+P5(x27692)+~E(x27691,x27692)
% 28.33/28.24 [2770]~P10(x27701)+P10(x27702)+~E(x27701,x27702)
% 28.33/28.24 [2771]~P94(x27711)+P94(x27712)+~E(x27711,x27712)
% 28.33/28.24 [2772]~P87(x27721)+P87(x27722)+~E(x27721,x27722)
% 28.33/28.24 [2773]~P82(x27731)+P82(x27732)+~E(x27731,x27732)
% 28.33/28.24 [2774]~P8(x27741)+P8(x27742)+~E(x27741,x27742)
% 28.33/28.24 [2775]~P6(x27751)+P6(x27752)+~E(x27751,x27752)
% 28.33/28.24 [2776]~P121(x27761)+P121(x27762)+~E(x27761,x27762)
% 28.33/28.24 [2777]~P114(x27771)+P114(x27772)+~E(x27771,x27772)
% 28.33/28.24 [2778]P29(x27782,x27783,x27784)+~E(x27781,x27782)+~P29(x27781,x27783,x27784)
% 28.33/28.24 [2779]P29(x27793,x27792,x27794)+~E(x27791,x27792)+~P29(x27793,x27791,x27794)
% 28.33/28.24 [2780]P29(x27803,x27804,x27802)+~E(x27801,x27802)+~P29(x27803,x27804,x27801)
% 28.33/28.24 [2781]P33(x27812,x27813,x27814)+~E(x27811,x27812)+~P33(x27811,x27813,x27814)
% 28.33/28.24 [2782]P33(x27823,x27822,x27824)+~E(x27821,x27822)+~P33(x27823,x27821,x27824)
% 28.33/28.24 [2783]P33(x27833,x27834,x27832)+~E(x27831,x27832)+~P33(x27833,x27834,x27831)
% 28.33/28.24 [2784]~P115(x27841)+P115(x27842)+~E(x27841,x27842)
% 28.33/28.24 [2785]~P110(x27851)+P110(x27852)+~E(x27851,x27852)
% 28.33/28.24 [2786]P30(x27862,x27863,x27864,x27865)+~E(x27861,x27862)+~P30(x27861,x27863,x27864,x27865)
% 28.33/28.24 [2787]P30(x27873,x27872,x27874,x27875)+~E(x27871,x27872)+~P30(x27873,x27871,x27874,x27875)
% 28.33/28.24 [2788]P30(x27883,x27884,x27882,x27885)+~E(x27881,x27882)+~P30(x27883,x27884,x27881,x27885)
% 28.33/28.24 [2789]P30(x27893,x27894,x27895,x27892)+~E(x27891,x27892)+~P30(x27893,x27894,x27895,x27891)
% 28.33/28.24 [2790]~P78(x27901)+P78(x27902)+~E(x27901,x27902)
% 28.33/28.24 [2791]P13(x27912,x27913,x27914)+~E(x27911,x27912)+~P13(x27911,x27913,x27914)
% 28.33/28.24 [2792]P13(x27923,x27922,x27924)+~E(x27921,x27922)+~P13(x27923,x27921,x27924)
% 28.33/28.24 [2793]P13(x27933,x27934,x27932)+~E(x27931,x27932)+~P13(x27933,x27934,x27931)
% 28.33/28.24 [2794]~P111(x27941)+P111(x27942)+~E(x27941,x27942)
% 28.33/28.24 [2795]~P100(x27951)+P100(x27952)+~E(x27951,x27952)
% 28.33/28.24 [2796]~P128(x27961)+P128(x27962)+~E(x27961,x27962)
% 28.33/28.24 [2797]P43(x27972,x27973)+~E(x27971,x27972)+~P43(x27971,x27973)
% 28.33/28.24 [2798]P43(x27983,x27982)+~E(x27981,x27982)+~P43(x27983,x27981)
% 28.33/28.24 [2799]~P112(x27991)+P112(x27992)+~E(x27991,x27992)
% 28.33/28.24 [2800]P147(x28002,x28003,x28004)+~E(x28001,x28002)+~P147(x28001,x28003,x28004)
% 28.33/28.24 [2801]P147(x28013,x28012,x28014)+~E(x28011,x28012)+~P147(x28013,x28011,x28014)
% 28.33/28.24 [2802]P147(x28023,x28024,x28022)+~E(x28021,x28022)+~P147(x28023,x28024,x28021)
% 28.33/28.24 [2803]P47(x28032,x28033,x28034,x28035)+~E(x28031,x28032)+~P47(x28031,x28033,x28034,x28035)
% 28.33/28.24 [2804]P47(x28043,x28042,x28044,x28045)+~E(x28041,x28042)+~P47(x28043,x28041,x28044,x28045)
% 28.33/28.24 [2805]P47(x28053,x28054,x28052,x28055)+~E(x28051,x28052)+~P47(x28053,x28054,x28051,x28055)
% 28.33/28.24 [2806]P47(x28063,x28064,x28065,x28062)+~E(x28061,x28062)+~P47(x28063,x28064,x28065,x28061)
% 28.33/28.24 [2807]P53(x28072,x28073)+~E(x28071,x28072)+~P53(x28071,x28073)
% 28.33/28.24 [2808]P53(x28083,x28082)+~E(x28081,x28082)+~P53(x28083,x28081)
% 28.33/28.24 [2809]~P88(x28091)+P88(x28092)+~E(x28091,x28092)
% 28.33/28.24 [2810]~P84(x28101)+P84(x28102)+~E(x28101,x28102)
% 28.33/28.24 [2811]~P46(x28111)+P46(x28112)+~E(x28111,x28112)
% 28.33/28.24 [2812]~P75(x28121)+P75(x28122)+~E(x28121,x28122)
% 28.33/28.24 [2813]~P79(x28131)+P79(x28132)+~E(x28131,x28132)
% 28.33/28.24 [2814]P18(x28142,x28143)+~E(x28141,x28142)+~P18(x28141,x28143)
% 28.33/28.24 [2815]P18(x28153,x28152)+~E(x28151,x28152)+~P18(x28153,x28151)
% 28.33/28.24 [2816]P40(x28162,x28163,x28164,x28165,x28166)+~E(x28161,x28162)+~P40(x28161,x28163,x28164,x28165,x28166)
% 28.33/28.24 [2817]P40(x28173,x28172,x28174,x28175,x28176)+~E(x28171,x28172)+~P40(x28173,x28171,x28174,x28175,x28176)
% 28.33/28.24 [2818]P40(x28183,x28184,x28182,x28185,x28186)+~E(x28181,x28182)+~P40(x28183,x28184,x28181,x28185,x28186)
% 28.33/28.24 [2819]P40(x28193,x28194,x28195,x28192,x28196)+~E(x28191,x28192)+~P40(x28193,x28194,x28195,x28191,x28196)
% 28.33/28.24 [2820]P40(x28203,x28204,x28205,x28206,x28202)+~E(x28201,x28202)+~P40(x28203,x28204,x28205,x28206,x28201)
% 28.33/28.24 [2821]P59(x28212,x28213,x28214)+~E(x28211,x28212)+~P59(x28211,x28213,x28214)
% 28.33/28.24 [2822]P59(x28223,x28222,x28224)+~E(x28221,x28222)+~P59(x28223,x28221,x28224)
% 28.33/28.24 [2823]P59(x28233,x28234,x28232)+~E(x28231,x28232)+~P59(x28233,x28234,x28231)
% 28.33/28.24 [2824]~P113(x28241)+P113(x28242)+~E(x28241,x28242)
% 28.33/28.24 [2825]~P11(x28251)+P11(x28252)+~E(x28251,x28252)
% 28.33/28.24 [2826]~P130(x28261)+P130(x28262)+~E(x28261,x28262)
% 28.33/28.24 [2827]~P125(x28271)+P125(x28272)+~E(x28271,x28272)
% 28.33/28.24 [2828]~P95(x28281)+P95(x28282)+~E(x28281,x28282)
% 28.33/28.24 [2829]~P9(x28291)+P9(x28292)+~E(x28291,x28292)
% 28.33/28.24 [2830]P31(x28302,x28303,x28304,x28305,x28306)+~E(x28301,x28302)+~P31(x28301,x28303,x28304,x28305,x28306)
% 28.33/28.24 [2831]P31(x28313,x28312,x28314,x28315,x28316)+~E(x28311,x28312)+~P31(x28313,x28311,x28314,x28315,x28316)
% 28.33/28.24 [2832]P31(x28323,x28324,x28322,x28325,x28326)+~E(x28321,x28322)+~P31(x28323,x28324,x28321,x28325,x28326)
% 28.33/28.24 [2833]P31(x28333,x28334,x28335,x28332,x28336)+~E(x28331,x28332)+~P31(x28333,x28334,x28335,x28331,x28336)
% 28.33/28.24 [2834]P31(x28343,x28344,x28345,x28346,x28342)+~E(x28341,x28342)+~P31(x28343,x28344,x28345,x28346,x28341)
% 28.33/28.24 [2835]P35(x28352,x28353)+~E(x28351,x28352)+~P35(x28351,x28353)
% 28.33/28.24 [2836]P35(x28363,x28362)+~E(x28361,x28362)+~P35(x28363,x28361)
% 28.33/28.24 [2837]P39(x28372,x28373,x28374)+~E(x28371,x28372)+~P39(x28371,x28373,x28374)
% 28.33/28.24 [2838]P39(x28383,x28382,x28384)+~E(x28381,x28382)+~P39(x28383,x28381,x28384)
% 28.33/28.24 [2839]P39(x28393,x28394,x28392)+~E(x28391,x28392)+~P39(x28393,x28394,x28391)
% 28.33/28.24 [2840]~P145(x28401)+P145(x28402)+~E(x28401,x28402)
% 28.33/28.24 [2841]P64(x28412,x28413)+~E(x28411,x28412)+~P64(x28411,x28413)
% 28.33/28.24 [2842]P64(x28423,x28422)+~E(x28421,x28422)+~P64(x28423,x28421)
% 28.33/28.24 [2843]~P92(x28431)+P92(x28432)+~E(x28431,x28432)
% 28.33/28.24 [2844]~P86(x28441)+P86(x28442)+~E(x28441,x28442)
% 28.33/28.24 [2845]~P104(x28451)+P104(x28452)+~E(x28451,x28452)
% 28.33/28.24 [2846]~P120(x28461)+P120(x28462)+~E(x28461,x28462)
% 28.33/28.24 [2847]P57(x28472,x28473)+~E(x28471,x28472)+~P57(x28471,x28473)
% 28.33/28.24 [2848]P57(x28483,x28482)+~E(x28481,x28482)+~P57(x28483,x28481)
% 28.33/28.24 [2849]~P93(x28491)+P93(x28492)+~E(x28491,x28492)
% 28.33/28.24 [2850]P37(x28502,x28503,x28504)+~E(x28501,x28502)+~P37(x28501,x28503,x28504)
% 28.33/28.24 [2851]P37(x28513,x28512,x28514)+~E(x28511,x28512)+~P37(x28513,x28511,x28514)
% 28.33/28.24 [2852]P37(x28523,x28524,x28522)+~E(x28521,x28522)+~P37(x28523,x28524,x28521)
% 28.33/28.24 [2853]~P73(x28531)+P73(x28532)+~E(x28531,x28532)
% 28.33/28.24 [2854]P16(x28542,x28543,x28544,x28545)+~E(x28541,x28542)+~P16(x28541,x28543,x28544,x28545)
% 28.33/28.24 [2855]P16(x28553,x28552,x28554,x28555)+~E(x28551,x28552)+~P16(x28553,x28551,x28554,x28555)
% 28.33/28.24 [2856]P16(x28563,x28564,x28562,x28565)+~E(x28561,x28562)+~P16(x28563,x28564,x28561,x28565)
% 28.33/28.24 [2857]P16(x28573,x28574,x28575,x28572)+~E(x28571,x28572)+~P16(x28573,x28574,x28575,x28571)
% 28.33/28.24 [2858]~P68(x28581)+P68(x28582)+~E(x28581,x28582)
% 28.33/28.24 [2859]~P77(x28591)+P77(x28592)+~E(x28591,x28592)
% 28.33/28.24 [2860]~P69(x28601)+P69(x28602)+~E(x28601,x28602)
% 28.33/28.24 [2861]~P7(x28611)+P7(x28612)+~E(x28611,x28612)
% 28.33/28.24 [2862]~P129(x28621)+P129(x28622)+~E(x28621,x28622)
% 28.33/28.24 [2863]P44(x28632,x28633)+~E(x28631,x28632)+~P44(x28631,x28633)
% 28.33/28.24 [2864]P44(x28643,x28642)+~E(x28641,x28642)+~P44(x28643,x28641)
% 28.33/28.24 [2865]P25(x28652,x28653,x28654,x28655)+~E(x28651,x28652)+~P25(x28651,x28653,x28654,x28655)
% 28.33/28.24 [2866]P25(x28663,x28662,x28664,x28665)+~E(x28661,x28662)+~P25(x28663,x28661,x28664,x28665)
% 28.33/28.24 [2867]P25(x28673,x28674,x28672,x28675)+~E(x28671,x28672)+~P25(x28673,x28674,x28671,x28675)
% 28.33/28.24 [2868]P25(x28683,x28684,x28685,x28682)+~E(x28681,x28682)+~P25(x28683,x28684,x28685,x28681)
% 28.33/28.24 [2869]~P141(x28691)+P141(x28692)+~E(x28691,x28692)
% 28.33/28.24 [2870]~P134(x28701)+P134(x28702)+~E(x28701,x28702)
% 28.33/28.24 [2871]~P89(x28711)+P89(x28712)+~E(x28711,x28712)
% 28.33/28.24 [2872]~P97(x28721)+P97(x28722)+~E(x28721,x28722)
% 28.33/28.24 [2873]~P127(x28731)+P127(x28732)+~E(x28731,x28732)
% 28.33/28.24 [2874]P22(x28742,x28743,x28744)+~E(x28741,x28742)+~P22(x28741,x28743,x28744)
% 28.33/28.24 [2875]P22(x28753,x28752,x28754)+~E(x28751,x28752)+~P22(x28753,x28751,x28754)
% 28.33/28.24 [2876]P22(x28763,x28764,x28762)+~E(x28761,x28762)+~P22(x28763,x28764,x28761)
% 28.33/28.24 [2877]~P139(x28771)+P139(x28772)+~E(x28771,x28772)
% 28.33/28.24 [2878]~P143(x28781)+P143(x28782)+~E(x28781,x28782)
% 28.33/28.24 [2879]P45(x28792,x28793)+~E(x28791,x28792)+~P45(x28791,x28793)
% 28.33/28.24 [2880]P45(x28803,x28802)+~E(x28801,x28802)+~P45(x28803,x28801)
% 28.33/28.24 [2881]P36(x28812,x28813,x28814)+~E(x28811,x28812)+~P36(x28811,x28813,x28814)
% 28.33/28.24 [2882]P36(x28823,x28822,x28824)+~E(x28821,x28822)+~P36(x28823,x28821,x28824)
% 28.33/28.24 [2883]P36(x28833,x28834,x28832)+~E(x28831,x28832)+~P36(x28833,x28834,x28831)
% 28.33/28.24 [2884]~P126(x28841)+P126(x28842)+~E(x28841,x28842)
% 28.33/28.24 [2885]~P98(x28851)+P98(x28852)+~E(x28851,x28852)
% 28.33/28.24 [2886]~P91(x28861)+P91(x28862)+~E(x28861,x28862)
% 28.33/28.24 [2887]P65(x28872,x28873,x28874,x28875)+~E(x28871,x28872)+~P65(x28871,x28873,x28874,x28875)
% 28.33/28.24 [2888]P65(x28883,x28882,x28884,x28885)+~E(x28881,x28882)+~P65(x28883,x28881,x28884,x28885)
% 28.33/28.24 [2889]P65(x28893,x28894,x28892,x28895)+~E(x28891,x28892)+~P65(x28893,x28894,x28891,x28895)
% 28.33/28.24 [2890]P65(x28903,x28904,x28905,x28902)+~E(x28901,x28902)+~P65(x28903,x28904,x28905,x28901)
% 28.33/28.24 [2891]P38(x28912,x28913,x28914,x28915)+~E(x28911,x28912)+~P38(x28911,x28913,x28914,x28915)
% 28.33/28.24 [2892]P38(x28923,x28922,x28924,x28925)+~E(x28921,x28922)+~P38(x28923,x28921,x28924,x28925)
% 28.33/28.24 [2893]P38(x28933,x28934,x28932,x28935)+~E(x28931,x28932)+~P38(x28933,x28934,x28931,x28935)
% 28.33/28.24 [2894]P38(x28943,x28944,x28945,x28942)+~E(x28941,x28942)+~P38(x28943,x28944,x28945,x28941)
% 28.33/28.24 [2895]~P123(x28951)+P123(x28952)+~E(x28951,x28952)
% 28.33/28.24 [2896]~P119(x28961)+P119(x28962)+~E(x28961,x28962)
% 28.33/28.24 [2897]~P136(x28971)+P136(x28972)+~E(x28971,x28972)
% 28.33/28.24 [2898]~P83(x28981)+P83(x28982)+~E(x28981,x28982)
% 28.33/28.24 [2899]P62(x28992,x28993,x28994)+~E(x28991,x28992)+~P62(x28991,x28993,x28994)
% 28.33/28.24 [2900]P62(x29003,x29002,x29004)+~E(x29001,x29002)+~P62(x29003,x29001,x29004)
% 28.33/28.24 [2901]P62(x29013,x29014,x29012)+~E(x29011,x29012)+~P62(x29013,x29014,x29011)
% 28.33/28.24 [2902]P19(x29022,x29023,x29024)+~E(x29021,x29022)+~P19(x29021,x29023,x29024)
% 28.33/28.24 [2903]P19(x29033,x29032,x29034)+~E(x29031,x29032)+~P19(x29033,x29031,x29034)
% 28.33/28.24 [2904]P19(x29043,x29044,x29042)+~E(x29041,x29042)+~P19(x29043,x29044,x29041)
% 28.33/28.24 [2905]~P146(x29051)+P146(x29052)+~E(x29051,x29052)
% 28.33/28.24 [2906]P12(x29062,x29063)+~E(x29061,x29062)+~P12(x29061,x29063)
% 28.33/28.24 [2907]P12(x29073,x29072)+~E(x29071,x29072)+~P12(x29073,x29071)
% 28.33/28.24 [2908]P49(x29082,x29083,x29084,x29085,x29086,x29087)+~E(x29081,x29082)+~P49(x29081,x29083,x29084,x29085,x29086,x29087)
% 28.33/28.24 [2909]P49(x29093,x29092,x29094,x29095,x29096,x29097)+~E(x29091,x29092)+~P49(x29093,x29091,x29094,x29095,x29096,x29097)
% 28.33/28.24 [2910]P49(x29103,x29104,x29102,x29105,x29106,x29107)+~E(x29101,x29102)+~P49(x29103,x29104,x29101,x29105,x29106,x29107)
% 28.33/28.24 [2911]P49(x29113,x29114,x29115,x29112,x29116,x29117)+~E(x29111,x29112)+~P49(x29113,x29114,x29115,x29111,x29116,x29117)
% 28.33/28.24 [2912]P49(x29123,x29124,x29125,x29126,x29122,x29127)+~E(x29121,x29122)+~P49(x29123,x29124,x29125,x29126,x29121,x29127)
% 28.33/28.24 [2913]P49(x29133,x29134,x29135,x29136,x29137,x29132)+~E(x29131,x29132)+~P49(x29133,x29134,x29135,x29136,x29137,x29131)
% 28.33/28.24 [2914]P63(x29142,x29143,x29144,x29145,x29146)+~E(x29141,x29142)+~P63(x29141,x29143,x29144,x29145,x29146)
% 28.33/28.24 [2915]P63(x29153,x29152,x29154,x29155,x29156)+~E(x29151,x29152)+~P63(x29153,x29151,x29154,x29155,x29156)
% 28.33/28.24 [2916]P63(x29163,x29164,x29162,x29165,x29166)+~E(x29161,x29162)+~P63(x29163,x29164,x29161,x29165,x29166)
% 28.33/28.24 [2917]P63(x29173,x29174,x29175,x29172,x29176)+~E(x29171,x29172)+~P63(x29173,x29174,x29175,x29171,x29176)
% 28.33/28.24 [2918]P63(x29183,x29184,x29185,x29186,x29182)+~E(x29181,x29182)+~P63(x29183,x29184,x29185,x29186,x29181)
% 28.33/28.24 [2919]~P70(x29191)+P70(x29192)+~E(x29191,x29192)
% 28.33/28.24 [2920]P58(x29202,x29203)+~E(x29201,x29202)+~P58(x29201,x29203)
% 28.33/28.24 [2921]P58(x29213,x29212)+~E(x29211,x29212)+~P58(x29213,x29211)
% 28.33/28.24 [2922]P21(x29222,x29223,x29224)+~E(x29221,x29222)+~P21(x29221,x29223,x29224)
% 28.33/28.24 [2923]P21(x29233,x29232,x29234)+~E(x29231,x29232)+~P21(x29233,x29231,x29234)
% 28.33/28.24 [2924]P21(x29243,x29244,x29242)+~E(x29241,x29242)+~P21(x29243,x29244,x29241)
% 28.33/28.24 [2925]P20(x29252,x29253)+~E(x29251,x29252)+~P20(x29251,x29253)
% 28.33/28.24 [2926]P20(x29263,x29262)+~E(x29261,x29262)+~P20(x29263,x29261)
% 28.33/28.24 [2927]~P103(x29271)+P103(x29272)+~E(x29271,x29272)
% 28.33/28.24 [2928]~P85(x29281)+P85(x29282)+~E(x29281,x29282)
% 28.33/28.24 [2929]P32(x29292,x29293)+~E(x29291,x29292)+~P32(x29291,x29293)
% 28.33/28.24 [2930]P32(x29303,x29302)+~E(x29301,x29302)+~P32(x29303,x29301)
% 28.33/28.24 [2931]P66(x29312,x29313)+~E(x29311,x29312)+~P66(x29311,x29313)
% 28.33/28.24 [2932]P66(x29323,x29322)+~E(x29321,x29322)+~P66(x29323,x29321)
% 28.33/28.24 [2933]~P131(x29331)+P131(x29332)+~E(x29331,x29332)
% 28.33/28.24 [2934]~P133(x29341)+P133(x29342)+~E(x29341,x29342)
% 28.33/28.24 [2935]~P135(x29351)+P135(x29352)+~E(x29351,x29352)
% 28.33/28.24 [2936]P15(x29362,x29363,x29364,x29365,x29366)+~E(x29361,x29362)+~P15(x29361,x29363,x29364,x29365,x29366)
% 28.33/28.24 [2937]P15(x29373,x29372,x29374,x29375,x29376)+~E(x29371,x29372)+~P15(x29373,x29371,x29374,x29375,x29376)
% 28.33/28.24 [2938]P15(x29383,x29384,x29382,x29385,x29386)+~E(x29381,x29382)+~P15(x29383,x29384,x29381,x29385,x29386)
% 28.33/28.24 [2939]P15(x29393,x29394,x29395,x29392,x29396)+~E(x29391,x29392)+~P15(x29393,x29394,x29395,x29391,x29396)
% 28.33/28.24 [2940]P15(x29403,x29404,x29405,x29406,x29402)+~E(x29401,x29402)+~P15(x29403,x29404,x29405,x29406,x29401)
% 28.33/28.24 [2941]~P67(x29411)+P67(x29412)+~E(x29411,x29412)
% 28.33/28.24 [2942]~P80(x29421)+P80(x29422)+~E(x29421,x29422)
% 28.33/28.24 [2943]~P138(x29431)+P138(x29432)+~E(x29431,x29432)
% 28.33/28.24 [2944]P56(x29442,x29443)+~E(x29441,x29442)+~P56(x29441,x29443)
% 28.33/28.24 [2945]P56(x29453,x29452)+~E(x29451,x29452)+~P56(x29453,x29451)
% 28.33/28.24 [2946]~P96(x29461)+P96(x29462)+~E(x29461,x29462)
% 28.33/28.24 [2947]~P137(x29471)+P137(x29472)+~E(x29471,x29472)
% 28.33/28.24 [2948]~P142(x29481)+P142(x29482)+~E(x29481,x29482)
% 28.33/28.24 [2949]~P144(x29491)+P144(x29492)+~E(x29491,x29492)
% 28.33/28.24 [2950]~P116(x29501)+P116(x29502)+~E(x29501,x29502)
% 28.33/28.24 [2951]P61(x29512,x29513,x29514)+~E(x29511,x29512)+~P61(x29511,x29513,x29514)
% 28.33/28.24 [2952]P61(x29523,x29522,x29524)+~E(x29521,x29522)+~P61(x29523,x29521,x29524)
% 28.33/28.24 [2953]P61(x29533,x29534,x29532)+~E(x29531,x29532)+~P61(x29533,x29534,x29531)
% 28.33/28.24 [2954]~P132(x29541)+P132(x29542)+~E(x29541,x29542)
% 28.33/28.24 [2955]~P105(x29551)+P105(x29552)+~E(x29551,x29552)
% 28.33/28.24 [2956]~P117(x29561)+P117(x29562)+~E(x29561,x29562)
% 28.33/28.24 [2957]P54(x29572,x29573,x29574)+~E(x29571,x29572)+~P54(x29571,x29573,x29574)
% 28.33/28.24 [2958]P54(x29583,x29582,x29584)+~E(x29581,x29582)+~P54(x29583,x29581,x29584)
% 28.33/28.24 [2959]P54(x29593,x29594,x29592)+~E(x29591,x29592)+~P54(x29593,x29594,x29591)
% 28.33/28.24 [2960]P24(x29602,x29603,x29604,x29605)+~E(x29601,x29602)+~P24(x29601,x29603,x29604,x29605)
% 28.33/28.24 [2961]P24(x29613,x29612,x29614,x29615)+~E(x29611,x29612)+~P24(x29613,x29611,x29614,x29615)
% 28.33/28.24 [2962]P24(x29623,x29624,x29622,x29625)+~E(x29621,x29622)+~P24(x29623,x29624,x29621,x29625)
% 28.33/28.24 [2963]P24(x29633,x29634,x29635,x29632)+~E(x29631,x29632)+~P24(x29633,x29634,x29635,x29631)
% 28.33/28.24 [2964]P34(x29642,x29643,x29644)+~E(x29641,x29642)+~P34(x29641,x29643,x29644)
% 28.33/28.24 [2965]P34(x29653,x29652,x29654)+~E(x29651,x29652)+~P34(x29653,x29651,x29654)
% 28.33/28.24 [2966]P34(x29663,x29664,x29662)+~E(x29661,x29662)+~P34(x29663,x29664,x29661)
% 28.33/28.24 [2967]P51(x29672,x29673)+~E(x29671,x29672)+~P51(x29671,x29673)
% 28.33/28.24 [2968]P51(x29683,x29682)+~E(x29681,x29682)+~P51(x29683,x29681)
% 28.33/28.24 [2969]~P118(x29691)+P118(x29692)+~E(x29691,x29692)
% 28.33/28.24 [2970]P27(x29702,x29703,x29704,x29705,x29706,x29707)+~E(x29701,x29702)+~P27(x29701,x29703,x29704,x29705,x29706,x29707)
% 28.33/28.24 [2971]P27(x29713,x29712,x29714,x29715,x29716,x29717)+~E(x29711,x29712)+~P27(x29713,x29711,x29714,x29715,x29716,x29717)
% 28.33/28.24 [2972]P27(x29723,x29724,x29722,x29725,x29726,x29727)+~E(x29721,x29722)+~P27(x29723,x29724,x29721,x29725,x29726,x29727)
% 28.33/28.24 [2973]P27(x29733,x29734,x29735,x29732,x29736,x29737)+~E(x29731,x29732)+~P27(x29733,x29734,x29735,x29731,x29736,x29737)
% 28.33/28.24 [2974]P27(x29743,x29744,x29745,x29746,x29742,x29747)+~E(x29741,x29742)+~P27(x29743,x29744,x29745,x29746,x29741,x29747)
% 28.33/28.24 [2975]P27(x29753,x29754,x29755,x29756,x29757,x29752)+~E(x29751,x29752)+~P27(x29753,x29754,x29755,x29756,x29757,x29751)
% 28.33/28.24 [2976]P26(x29762,x29763,x29764,x29765,x29766)+~E(x29761,x29762)+~P26(x29761,x29763,x29764,x29765,x29766)
% 28.33/28.24 [2977]P26(x29773,x29772,x29774,x29775,x29776)+~E(x29771,x29772)+~P26(x29773,x29771,x29774,x29775,x29776)
% 28.33/28.24 [2978]P26(x29783,x29784,x29782,x29785,x29786)+~E(x29781,x29782)+~P26(x29783,x29784,x29781,x29785,x29786)
% 28.33/28.24 [2979]P26(x29793,x29794,x29795,x29792,x29796)+~E(x29791,x29792)+~P26(x29793,x29794,x29795,x29791,x29796)
% 28.33/28.24 [2980]P26(x29803,x29804,x29805,x29806,x29802)+~E(x29801,x29802)+~P26(x29803,x29804,x29805,x29806,x29801)
% 28.33/28.24 [2981]P28(x29812,x29813,x29814,x29815,x29816,x29817)+~E(x29811,x29812)+~P28(x29811,x29813,x29814,x29815,x29816,x29817)
% 28.33/28.24 [2982]P28(x29823,x29822,x29824,x29825,x29826,x29827)+~E(x29821,x29822)+~P28(x29823,x29821,x29824,x29825,x29826,x29827)
% 28.33/28.24 [2983]P28(x29833,x29834,x29832,x29835,x29836,x29837)+~E(x29831,x29832)+~P28(x29833,x29834,x29831,x29835,x29836,x29837)
% 28.33/28.24 [2984]P28(x29843,x29844,x29845,x29842,x29846,x29847)+~E(x29841,x29842)+~P28(x29843,x29844,x29845,x29841,x29846,x29847)
% 28.33/28.24 [2985]P28(x29853,x29854,x29855,x29856,x29852,x29857)+~E(x29851,x29852)+~P28(x29853,x29854,x29855,x29856,x29851,x29857)
% 28.33/28.24 [2986]P28(x29863,x29864,x29865,x29866,x29867,x29862)+~E(x29861,x29862)+~P28(x29863,x29864,x29865,x29866,x29867,x29861)
% 28.33/28.24 [2987]~P102(x29871)+P102(x29872)+~E(x29871,x29872)
% 28.33/28.24 [2988]P50(x29882,x29883)+~E(x29881,x29882)+~P50(x29881,x29883)
% 28.33/28.24 [2989]P50(x29893,x29892)+~E(x29891,x29892)+~P50(x29893,x29891)
% 28.33/28.24 [2990]P60(x29902,x29903)+~E(x29901,x29902)+~P60(x29901,x29903)
% 28.33/28.24 [2991]P60(x29913,x29912)+~E(x29911,x29912)+~P60(x29913,x29911)
% 28.33/28.24 [2992]~P52(x29921)+P52(x29922)+~E(x29921,x29922)
% 28.33/28.24 [2993]~P99(x29931)+P99(x29932)+~E(x29931,x29932)
% 28.33/28.24 [2994]P48(x29942,x29943,x29944,x29945)+~E(x29941,x29942)+~P48(x29941,x29943,x29944,x29945)
% 28.33/28.24 [2995]P48(x29953,x29952,x29954,x29955)+~E(x29951,x29952)+~P48(x29953,x29951,x29954,x29955)
% 28.33/28.24 [2996]P48(x29963,x29964,x29962,x29965)+~E(x29961,x29962)+~P48(x29963,x29964,x29961,x29965)
% 28.33/28.24 [2997]P48(x29973,x29974,x29975,x29972)+~E(x29971,x29972)+~P48(x29973,x29974,x29975,x29971)
% 28.33/28.24 [2998]~P106(x29981)+P106(x29982)+~E(x29981,x29982)
% 28.33/28.24 [2999]P14(x29992,x29993,x29994)+~E(x29991,x29992)+~P14(x29991,x29993,x29994)
% 28.33/28.24 [3000]P14(x30003,x30002,x30004)+~E(x30001,x30002)+~P14(x30003,x30001,x30004)
% 28.33/28.24 [3001]P14(x30013,x30014,x30012)+~E(x30011,x30012)+~P14(x30013,x30014,x30011)
% 28.33/28.24 [3002]P23(x30022,x30023,x30024)+~E(x30021,x30022)+~P23(x30021,x30023,x30024)
% 28.33/28.24 [3003]P23(x30033,x30032,x30034)+~E(x30031,x30032)+~P23(x30033,x30031,x30034)
% 28.33/28.24 [3004]P23(x30043,x30044,x30042)+~E(x30041,x30042)+~P23(x30043,x30044,x30041)
% 28.33/28.24 [3005]~P124(x30051)+P124(x30052)+~E(x30051,x30052)
% 28.33/28.24 [3006]~P74(x30061)+P74(x30062)+~E(x30061,x30062)
% 28.33/28.24 [3007]~P90(x30071)+P90(x30072)+~E(x30071,x30072)
% 28.33/28.24 [3008]~P81(x30081)+P81(x30082)+~E(x30081,x30082)
% 28.33/28.24 [3009]~P122(x30091)+P122(x30092)+~E(x30091,x30092)
% 28.33/28.24 [3010]P55(x30102,x30103,x30104)+~E(x30101,x30102)+~P55(x30101,x30103,x30104)
% 28.33/28.24 [3011]P55(x30113,x30112,x30114)+~E(x30111,x30112)+~P55(x30113,x30111,x30114)
% 28.33/28.24 [3012]P55(x30123,x30124,x30122)+~E(x30121,x30122)+~P55(x30123,x30124,x30121)
% 28.33/28.24 [3013]~P42(x30131)+P42(x30132)+~E(x30131,x30132)
% 28.33/28.24
% 28.33/28.24 %-------------------------------------------
% 28.33/28.25 cnf(10362,plain,
% 28.33/28.25 ($false),
% 28.33/28.25 inference(scs_inference,[],[4695,4235,3861,7313]),
% 28.33/28.25 ['proof']).
% 28.33/28.25 % SZS output end Proof
% 28.33/28.25 % Total time :22.950000s
%------------------------------------------------------------------------------